Subgroups — #3551×D₆₇ #31763287

Order 17152.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574638	C₂	1	1	yes	maximal, characteristic, complemented
2	#22574637	C₂	1	2	yes	maximal, complemented
3	#22574636	C₂	1	1	yes	maximal, characteristic, complemented
4	#22574635	C₂	1	2	yes	maximal, complemented
5	#22574634	C₂	1	2	yes	maximal, complemented
6	#22574633	C₂	1	1	yes	maximal, characteristic, complemented
7	#22574632	C₂	1	2	yes	maximal, complemented
8	#22574631	C₂	1	2	yes	maximal, complemented
9	#22574630	C₂	1	4	yes	maximal, complemented
10	#22574629	C₂	1	2	yes	maximal, complemented
11	#22574628	C₂	1	2	yes	maximal, complemented
12	#22574627	C₂	1	2	yes	maximal, complemented
13	#22574626	C₂	1	4	yes	maximal, complemented
14	#22574625	C₂	1	2	yes	maximal, complemented
15	#22574624	C₂	1	2	yes	maximal, complemented
16	#563×D₆₇	C₂	1	2	yes	maximal, complemented
17	#560×D₆₇	C₂	1	2	yes	maximal, complemented
18	#555×D₆₇	C₂	1	2	yes	maximal, complemented
19	#553×D₆₇	C₂	1	2	yes	maximal, complemented
20	#552×D₆₇	C₂	1	2	yes	maximal, complemented
21	#551×D₆₇	C₂	1	2	yes	maximal, complemented
22	#548×D₆₇	C₂	1	2	yes	maximal, complemented
23	#546×D₆₇	C₂	1	2	yes	maximal, complemented
24	#540×D₆₇	C₂	1	4	yes	maximal, complemented
25	#538×D₆₇	C₂	1	4	yes	maximal, complemented
26	#537×D₆₇	C₂	1	2	yes	maximal, complemented
27	#536×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
28	#535×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
29	#532×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
30	#529×D₆₇	C₂	1	2	yes	maximal, complemented
31	C₆₇×#3551	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₆₇	C₂²	1	2	yes	—
33	C₂×#41×D₆₇	C₂²	1	1	yes	characteristic
34	C₂×#41×D₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
37	#16864150	C₂²	1	4	yes	complemented
38	#16864149	C₂²	1	4	yes	complemented
39	#16864148	C₂²	1	4	yes	complemented
40	#16864148	C₂²	1	4	yes	complemented
41	#16864147	C₂²	1	4	yes	complemented
42	#16864147	C₂²	1	4	yes	complemented
43	#16864146	C₂²	1	2	yes	complemented
44	#16864145	C₂²	1	2	yes	complemented
45	#16864145	C₂²	1	2	yes	complemented
46	#16864137	C₂²	1	4	yes	complemented
47	#16864136	C₂²	1	4	yes	complemented
48	#16864136	C₂²	1	2	yes	complemented
49	#16864135	C₂²	1	4	yes	complemented
50	#16864135	C₂²	1	2	yes	complemented
51	#16864134	C₂²	1	4	yes	complemented
52	#16864134	C₂²	1	4	yes	complemented
53	#16864134	C₂²	1	4	yes	complemented
54	#16864133	C₂²	1	2	yes	complemented
55	#16864112	C₂²	1	2	yes	complemented
56	#16864111	C₂²	1	4	yes	complemented
57	#16864110	C₂²	1	4	yes	complemented
58	#16864110	C₂²	1	4	yes	complemented
59	#16864109	C₂²	1	4	yes	complemented
60	#16864109	C₂²	1	4	yes	complemented
61	#16864108	C₂²	1	2	yes	complemented
62	#16864108	C₂²	1	4	yes	complemented
63	#16864108	C₂²	1	2	yes	complemented
64	#16864099	C₂²	1	2	yes	complemented
65	#16864098	C₂²	1	2	yes	complemented
66	#16864097	C₂²	1	4	yes	complemented
67	#16864096	C₂²	1	2	yes	complemented
68	#16864095	C₂²	1	4	yes	complemented
69	#16864094	C₂²	1	2	yes	complemented
70	#16864093	C₂²	1	2	yes	complemented
71	#16864092	C₂²	1	2	yes	complemented
72	#16864091	C₂²	1	4	yes	complemented
73	#16864090	C₂²	1	2	yes	complemented
74	#16864089	C₂²	1	4	yes	complemented
75	#16864088	C₂²	1	2	yes	complemented
76	#16864087	C₂²	1	2	yes	complemented
77	#16864086	C₂²	1	2	yes	complemented
78	#16864085	C₂²	1	2	yes	complemented
79	#16864084	C₂²	1	2	yes	complemented
80	#16864083	C₂²	1	4	yes	complemented
81	#16864082	C₂²	1	4	yes	complemented
82	#16864081	C₂²	1	2	yes	complemented
83	#16864080	C₂²	1	2	yes	complemented
84	#16864079	C₂²	1	4	yes	complemented
85	#16864078	C₂²	1	4	yes	complemented
86	#16864077	C₂²	1	2	yes	complemented
87	#16864076	C₂²	1	2	yes	complemented
88	#16864075	C₂²	1	4	yes	complemented
89	#16864074	C₂²	1	2	yes	complemented
90	#16864073	C₂²	1	4	yes	complemented
91	#16864072	C₂²	1	4	yes	complemented
92	#16864071	C₂²	1	4	yes	complemented
93	#16864070	C₂²	1	4	yes	complemented
94	#16864069	C₂²	1	4	yes	complemented
95	#16864058	C₂²	1	2	yes	complemented
96	#16864057	C₂²	1	2	yes	complemented
97	#16864056	C₂²	1	4	yes	complemented
98	#16864056	C₂²	1	2	yes	complemented
99	#16864055	C₂²	1	4	yes	complemented
100	#16864055	C₂²	1	2	yes	complemented
101	#16864054	C₂²	1	2	yes	complemented
102	#16864054	C₂²	1	4	yes	complemented
103	#16864053	C₂²	1	2	yes	complemented
104	#16864052	C₂²	1	2	yes	complemented
105	#16864052	C₂²	1	4	yes	complemented
106	#16864043	C₂²	1	2	yes	complemented
107	#16864042	C₂²	1	2	yes	complemented
108	#16864041	C₂²	1	2	yes	complemented
109	#16864040	C₂²	1	2	yes	complemented
110	#16864039	C₂²	1	2	yes	complemented
111	#16864038	C₂²	1	4	yes	complemented
112	#16864037	C₂²	1	2	yes	complemented
113	#16864036	C₂²	1	4	yes	complemented
114	#16864035	C₂²	1	4	yes	complemented
115	#16864034	C₂²	1	2	yes	complemented
116	#16864033	C₂²	1	4	yes	complemented
117	#16864002	C₂²	1	4	yes	complemented
118	#16864001	C₂²	1	4	yes	complemented
119	#16864000	C₂²	1	4	yes	complemented
120	#16863999	C₂²	1	4	yes	complemented
121	#16863999	C₂²	1	4	yes	complemented
122	#16863998	C₂²	1	4	yes	complemented
123	#16863998	C₂²	1	4	yes	complemented
124	#16863998	C₂²	1	4	yes	complemented
125	#16863998	C₂²	1	4	yes	complemented
126	#16863997	C₂²	1	4	yes	complemented
127	#16863997	C₂²	1	4	yes	complemented
128	#16863996	C₂²	1	4	yes	complemented
129	#16863996	C₂²	1	4	yes	complemented
130	#16863996	C₂²	1	4	yes	complemented
131	#16863996	C₂²	1	4	yes	complemented
132	#16863986	C₂²	1	4	yes	complemented
133	#16863985	C₂²	1	4	yes	complemented
134	#16863985	C₂²	1	4	yes	complemented
135	#16863984	C₂²	1	4	yes	complemented
136	#16863983	C₂²	1	4	yes	complemented
137	#16863982	C₂²	1	4	yes	complemented
138	#16863982	C₂²	1	4	yes	complemented
139	#16863981	C₂²	1	4	yes	complemented
140	#16863981	C₂²	1	4	yes	complemented
141	#16863980	C₂²	1	4	yes	complemented
142	#16863980	C₂²	1	4	yes	complemented
143	#16863979	C₂²	1	4	yes	complemented
144	#16863979	C₂²	1	4	yes	complemented
145	#16863978	C₂²	1	4	yes	complemented
146	#16863978	C₂²	1	4	yes	complemented
147	#16863977	C₂²	1	2	yes	complemented
148	#16863976	C₂²	1	4	yes	complemented
149	#16863976	C₂²	1	2	yes	complemented
150	#16863976	C₂²	1	2	yes	complemented
151	#16863975	C₂²	1	2	yes	complemented
152	#16863975	C₂²	1	2	yes	complemented
153	#16863975	C₂²	1	4	yes	complemented
154	#16863974	C₂²	1	2	yes	complemented
155	#16863974	C₂²	1	2	yes	complemented
156	#16863973	C₂²	1	4	yes	complemented
157	#16863973	C₂²	1	4	yes	complemented
158	#16863972	C₂²	1	1	yes	characteristic, complemented
159	#16863971	C₂²	1	2	yes	complemented
160	#16863970	C₂²	1	1	yes	characteristic, complemented
161	#16863969	C₂²	1	2	yes	complemented
162	#16863969	C₂²	1	2	yes	complemented
163	#16863968	C₂²	1	2	yes	complemented
164	#16863968	C₂²	1	2	yes	complemented
165	#16863967	C₂²	1	1	yes	characteristic, complemented
166	#16863966	C₂²	1	2	yes	complemented
167	#16863965	C₂²	1	1	yes	characteristic, complemented
168	#16863964	C₂²	1	2	yes	complemented
169	#16863963	C₂²	1	1	yes	characteristic, complemented
170	#16863962	C₂²	1	2	yes	complemented
171	#16863962	C₂²	1	2	yes	complemented
172	#16863961	C₂²	1	2	yes	complemented
173	#16863961	C₂²	1	2	yes	complemented
174	#16863960	C₂²	1	1	yes	characteristic, complemented
175	#16863959	C₂²	1	2	yes	complemented
176	#16863947	C₂²	1	1	yes	characteristic, complemented
177	#16863946	C₂²	1	1	yes	characteristic, complemented
178	#16863945	C₂²	1	1	yes	characteristic, complemented
179	#16863945	C₂²	1	1	yes	characteristic, complemented
180	#16863944	C₂²	1	1	yes	characteristic, complemented
181	#16863943	C₂²	1	2	yes	complemented
182	#16863943	C₂²	1	2	yes	complemented
183	#16863942	C₂²	1	1	yes	characteristic, complemented
184	#16863942	C₂²	1	1	yes	characteristic, complemented
185	#16863941	C₂²	1	2	yes	complemented
186	#16863941	C₂²	1	2	yes	complemented
187	C₄⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
188	C₄⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
189	#127×D₆₇	C₂²	1	1	yes	characteristic
190	#127×D₆₇	C₂²	1	2	yes	—
191	#16863933	C₂²	1	2	yes	complemented
192	#16863932	C₂²	1	2	yes	complemented
193	#16863931	C₂²	1	2	yes	complemented
194	#16863930	C₂²	1	2	yes	complemented
195	#16863929	C₂²	1	4	yes	complemented
196	#16863928	C₂²	1	2	yes	complemented
197	#16863927	C₂²	1	2	yes	complemented
198	#16863926	C₂²	1	4	yes	complemented
199	#16863925	C₂²	1	2	yes	complemented
200	#16863924	C₂²	1	4	yes	complemented
201	#16863923	C₂²	1	4	yes	complemented
202	#126×D₆₇	C₂²	1	4	yes	—
203	#126×D₆₇	C₂²	1	4	yes	complemented
204	#126×D₆₇	C₂²	1	4	yes	complemented
205	#125×D₆₇	C₂²	1	4	yes	complemented
206	#125×D₆₇	C₂²	1	2	yes	complemented
207	#124×D₆₇	C₂²	1	2	yes	—
208	#124×D₆₇	C₂²	1	2	yes	—
209	#124×D₆₇	C₂²	1	1	yes	characteristic
210	#124×D₆₇	C₂²	1	2	yes	—
211	#124×D₆₇	C₂²	1	4	yes	complemented
212	#124×D₆₇	C₂²	1	1	yes	characteristic, complemented
213	#123×D₆₇	C₂²	1	4	yes	—
214	#123×D₆₇	C₂²	1	2	yes	—
215	#123×D₆₇	C₂²	1	4	yes	—
216	#123×D₆₇	C₂²	1	4	yes	complemented
217	#123×D₆₇	C₂²	1	4	yes	complemented
218	#123×D₆₇	C₂²	1	2	yes	complemented
219	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	—
220	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
221	C₂²⋊Q₈×D₆₇	C₂²	1	4	yes	complemented
222	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
223	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
224	#121×D₆₇	C₂²	1	2	yes	—
225	#121×D₆₇	C₂²	1	4	yes	—
226	#121×D₆₇	C₂²	1	2	yes	—
227	#121×D₆₇	C₂²	1	2	yes	—
228	#121×D₆₇	C₂²	1	2	yes	—
229	#121×D₆₇	C₂²	1	4	yes	complemented
230	#121×D₆₇	C₂²	1	4	yes	complemented
231	#121×D₆₇	C₂²	1	2	yes	complemented
232	#121×D₆₇	C₂²	1	4	yes	complemented
233	#121×D₆₇	C₂²	1	4	yes	complemented
234	#121×D₆₇	C₂²	1	4	yes	complemented
235	#120×D₆₇	C₂²	1	4	yes	—
236	#120×D₆₇	C₂²	1	2	yes	—
237	#120×D₆₇	C₂²	1	2	yes	—
238	C₄×Q₈×D₆₇	C₂²	1	2	yes	complemented
239	C₄×D₄×D₆₇	C₂²	1	2	yes	—
240	C₄×D₄×D₆₇	C₂²	1	2	yes	—
241	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
242	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
243	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
244	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
245	#117×D₆₇	C₂²	1	1	yes	characteristic
246	#117×D₆₇	C₂²	1	4	yes	complemented
247	#117×D₆₇	C₂²	1	4	yes	complemented
248	#117×D₆₇	C₂²	1	1	yes	characteristic, complemented
249	C₂×C₄⋊C₄×D₆₇	C₂²	1	2	yes	complemented
250	C₂×C₂²⋊C₄×D₆₇	C₂²	1	4	yes	—
251	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
252	#563×C₆₇	C₂²	1	2	yes	complemented
253	#560×C₆₇	C₂²	1	2	yes	complemented
254	#555×C₆₇	C₂²	1	2	yes	complemented
255	#553×C₆₇	C₂²	1	2	yes	complemented
256	#552×C₆₇	C₂²	1	2	yes	complemented
257	#551×C₆₇	C₂²	1	2	yes	complemented
258	#548×C₆₇	C₂²	1	2	yes	complemented
259	#546×C₆₇	C₂²	1	2	yes	complemented
260	#540×C₆₇	C₂²	1	4	yes	complemented
261	#538×C₆₇	C₂²	1	4	yes	complemented
262	#537×C₆₇	C₂²	1	2	yes	complemented
263	#536×C₆₇	C₂²	1	1	yes	characteristic, complemented
264	#535×C₆₇	C₂²	1	1	yes	characteristic, complemented
265	#532×C₆₇	C₂²	1	1	yes	characteristic, complemented
266	#529×C₆₇	C₂²	1	2	yes	complemented
267	C₂⁴×D₆₇	C₂³	1	2	yes	—
268	C₂×#11761629	C₂³	1	2	yes	—
269	C₂×#11761629	C₂³	1	1	yes	characteristic
270	C₂×#11761629	C₂³	1	1	yes	characteristic, complemented
271	C₂×#11761628	C₂³	1	4	yes	—
272	C₂×#11761628	C₂³	1	2	yes	—
273	C₂×#11761628	C₂³	1	1	yes	characteristic
274	C₂×#11761628	C₂³	1	1	yes	characteristic
275	C₂×#11761628	C₂³	1	1	yes	characteristic
276	C₂×#11761628	C₂³	1	1	yes	characteristic, complemented
277	C₂×#11761628	C₂³	1	2	yes	complemented
278	C₂×#11761627	C₂³	1	4	yes	—
279	C₂×#11761627	C₂³	1	2	yes	—
280	C₂×#11761627	C₂³	1	1	yes	characteristic
281	C₂×#11761627	C₂³	1	1	yes	characteristic
282	C₂×#11761627	C₂³	1	1	yes	characteristic
283	C₂×#11761627	C₂³	1	2	yes	complemented
284	C₂×#11761627	C₂³	1	1	yes	characteristic, complemented
285	#41×D₆₇	—	4	4	no	—
286	#41×D₆₇	—	4	4	no	—
287	#41×D₆₇	—	4	8	no	—
288	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
289	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
290	C₂×Q₈×D₆₇	—	4	4	no	—
291	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
292	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
293	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
294	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
295	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
296	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
297	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
298	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
299	C₂×D₄×D₆₇	—	4	4	no	—
300	C₂×D₄×D₆₇	C₂³	1	2	yes	—
301	C₂×D₄×D₆₇	C₂³	1	2	yes	—
302	C₂×D₄×D₆₇	C₂³	1	2	yes	—
303	C₂×D₄×D₆₇	C₂³	1	2	yes	—
304	C₂×D₄×D₆₇	C₂³	1	4	yes	—
305	C₂×D₄×D₆₇	C₂³	1	4	yes	—
306	C₂×D₄×D₆₇	C₂³	1	4	yes	—
307	C₂×D₄×D₆₇	C₂³	1	2	yes	—
308	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
309	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
310	C₂×D₄×D₆₇	C₂³	1	4	yes	—
311	C₂×D₄×D₆₇	C₂³	1	2	yes	—
312	C₂×D₄×D₆₇	C₂³	1	2	yes	—
313	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
314	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
315	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
316	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
317	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
318	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
319	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
320	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
321	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
322	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
323	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
324	#14524043	C₂³	1	2	yes	complemented
325	#14524043	C₂³	1	1	yes	characteristic, complemented
326	#14524042	C₂³	1	4	yes	complemented
327	#14524042	C₂³	1	4	yes	complemented
328	#14524042	C₂³	1	2	yes	complemented
329	#14524042	C₂³	1	2	yes	complemented
330	#14524041	C₂³	1	2	yes	complemented
331	#14524041	C₂³	1	2	yes	complemented
332	#14524041	C₂³	1	1	yes	characteristic, complemented
333	#14524041	C₂³	1	1	yes	characteristic, complemented
334	#14524040	C₂³	1	2	yes	—
335	#14524040	C₂³	1	1	yes	characteristic
336	#14524039	C₂³	1	2	yes	—
337	#14524039	C₂³	1	1	yes	characteristic
338	#14524039	C₂³	1	2	yes	—
339	#14524039	C₂³	1	1	yes	characteristic
340	#14524039	C₂³	1	2	yes	—
341	#14524039	C₂³	1	4	yes	—
342	#14524039	C₂³	1	4	yes	—
343	#14524039	C₂³	1	2	yes	—
344	#14524038	C₂³	1	4	yes	—
345	#14524038	C₂³	1	4	yes	—
346	#14524038	C₂³	1	4	yes	—
347	#14524038	C₂³	1	4	yes	complemented
348	#14524038	C₂³	1	4	yes	complemented
349	#14524038	C₂³	1	4	yes	complemented
350	#14524038	C₂³	1	4	yes	complemented
351	#14524038	C₂³	1	4	yes	complemented
352	#14524038	C₂³	1	4	yes	complemented
353	#14524037	C₂³	1	4	yes	—
354	#14524037	C₂³	1	4	yes	complemented
355	#14524037	C₂³	1	4	yes	complemented
356	#14524036	C₂³	1	4	yes	—
357	#14524036	C₂³	1	4	yes	—
358	#14524036	C₂³	1	4	yes	—
359	#14524036	C₂³	1	4	yes	complemented
360	#14524036	C₂³	1	4	yes	complemented
361	#14524036	C₂³	1	4	yes	complemented
362	#14524036	C₂³	1	4	yes	complemented
363	#14524036	C₂³	1	4	yes	complemented
364	#14524036	C₂³	1	4	yes	complemented
365	#14524035	C₂³	1	4	yes	complemented
366	#14524035	C₂³	1	2	yes	complemented
367	#14524034	C₂³	1	2	yes	complemented
368	#14524034	C₂³	1	4	yes	complemented
369	#14524034	C₂³	1	4	yes	complemented
370	#14524034	C₂³	1	2	yes	complemented
371	#14524033	C₂³	1	4	yes	complemented
372	#14524033	C₂³	1	4	yes	complemented
373	#14524033	C₂³	1	4	yes	complemented
374	#14524033	C₂³	1	4	yes	complemented
375	#14524033	C₂³	1	4	yes	complemented
376	#14524033	C₂³	1	4	yes	complemented
377	#14524032	C₂³	1	2	yes	—
378	#14524032	C₂³	1	1	yes	characteristic
379	#14524032	C₂³	1	2	yes	—
380	#14524032	C₂³	1	2	yes	—
381	#14524032	C₂³	1	4	yes	complemented
382	#14524032	C₂³	1	1	yes	characteristic, complemented
383	#14524031	C₂³	1	2	yes	—
384	#14524031	C₂³	1	1	yes	characteristic
385	#14524031	C₂³	1	2	yes	—
386	#14524031	C₂³	1	2	yes	—
387	#14524031	C₂³	1	4	yes	complemented
388	#14524031	C₂³	1	1	yes	characteristic, complemented
389	#14524030	C₂³	1	2	yes	—
390	#14524030	C₂³	1	1	yes	characteristic
391	#14524030	C₂³	1	2	yes	—
392	#14524030	C₂³	1	2	yes	—
393	#14524030	C₂³	1	4	yes	complemented
394	#14524030	C₂³	1	1	yes	characteristic, complemented
395	#14524029	C₂³	1	4	yes	—
396	#14524029	C₂³	1	4	yes	—
397	#14524029	C₂³	1	2	yes	—
398	#14524029	C₂³	1	2	yes	—
399	#14524029	C₂³	1	4	yes	—
400	#14524029	C₂³	1	4	yes	—
401	#14524029	C₂³	1	4	yes	—
402	#14524029	C₂³	1	4	yes	—
403	#14524029	C₂³	1	4	yes	complemented
404	#14524029	C₂³	1	4	yes	complemented
405	#14524029	C₂³	1	4	yes	complemented
406	#14524029	C₂³	1	4	yes	complemented
407	#14524029	C₂³	1	2	yes	complemented
408	#14524029	C₂³	1	2	yes	complemented
409	#14524028	C₂³	1	4	yes	—
410	#14524028	C₂³	1	4	yes	—
411	#14524028	C₂³	1	4	yes	—
412	#14524028	C₂³	1	4	yes	—
413	#14524028	C₂³	1	4	yes	—
414	#14524028	C₂³	1	4	yes	complemented
415	#14524028	C₂³	1	4	yes	complemented
416	#14524028	C₂³	1	4	yes	complemented
417	#14524028	C₂³	1	4	yes	complemented
418	#14524028	C₂³	1	4	yes	complemented
419	#14524027	C₂³	1	4	yes	—
420	#14524027	C₂³	1	2	yes	—
421	#14524027	C₂³	1	4	yes	—
422	#14524027	C₂³	1	4	yes	complemented
423	#14524027	C₂³	1	4	yes	complemented
424	#14524027	C₂³	1	2	yes	complemented
425	#14524026	C₂³	1	4	yes	—
426	#14524026	C₂³	1	2	yes	—
427	#14524026	C₂³	1	4	yes	—
428	#14524026	C₂³	1	4	yes	complemented
429	#14524026	C₂³	1	4	yes	complemented
430	#14524026	C₂³	1	2	yes	complemented
431	#14524025	C₂³	1	4	yes	—
432	#14524025	C₂³	1	4	yes	—
433	#14524025	C₂³	1	4	yes	—
434	#14524025	C₂³	1	4	yes	—
435	#14524025	C₂³	1	4	yes	—
436	#14524025	C₂³	1	4	yes	complemented
437	#14524025	C₂³	1	4	yes	complemented
438	#14524025	C₂³	1	4	yes	complemented
439	#14524025	C₂³	1	4	yes	complemented
440	#14524025	C₂³	1	4	yes	complemented
441	#14524024	C₂³	1	4	yes	—
442	#14524024	C₂³	1	2	yes	—
443	#14524024	C₂³	1	4	yes	—
444	#14524024	C₂³	1	2	yes	complemented
445	#14524024	C₂³	1	4	yes	complemented
446	#14524024	C₂³	1	4	yes	complemented
447	#14524023	C₂³	1	2	yes	—
448	#14524023	C₂³	1	2	yes	complemented
449	#14524023	C₂³	1	4	yes	complemented
450	#14524023	C₂³	1	4	yes	complemented
451	#14524023	C₂³	1	2	yes	complemented
452	#14524022	C₂³	1	2	yes	—
453	#14524022	C₂³	1	2	yes	complemented
454	#14524022	C₂³	1	4	yes	complemented
455	#14524022	C₂³	1	4	yes	complemented
456	#14524022	C₂³	1	2	yes	complemented
457	#14524021	C₂³	1	4	yes	—
458	#14524021	C₂³	1	4	yes	complemented
459	#14524021	C₂³	1	4	yes	complemented
460	#14524021	C₂³	1	4	yes	complemented
461	#14524021	C₂³	1	4	yes	complemented
462	#14524021	C₂³	1	4	yes	complemented
463	#14524021	C₂³	1	4	yes	complemented
464	#14524020	C₂³	1	4	yes	—
465	#14524020	C₂³	1	4	yes	complemented
466	#14524020	C₂³	1	4	yes	complemented
467	#14524020	C₂³	1	4	yes	complemented
468	#14524020	C₂³	1	4	yes	complemented
469	#14524020	C₂³	1	4	yes	complemented
470	#14524020	C₂³	1	4	yes	complemented
471	#14524019	C₂³	1	2	yes	—
472	#14524019	C₂³	1	2	yes	complemented
473	#14524019	C₂³	1	4	yes	complemented
474	#14524019	C₂³	1	4	yes	complemented
475	#14524019	C₂³	1	2	yes	complemented
476	#14524018	C₂³	1	4	yes	—
477	#14524018	C₂³	1	2	yes	—
478	#14524018	C₂³	1	2	yes	—
479	#14524018	C₂³	1	2	yes	—
480	#14524018	C₂³	1	2	yes	—
481	#14524018	C₂³	1	2	yes	complemented
482	#14524018	C₂³	1	4	yes	complemented
483	#14524018	C₂³	1	4	yes	complemented
484	#14524018	C₂³	1	4	yes	complemented
485	#14524018	C₂³	1	4	yes	complemented
486	#14524018	C₂³	1	4	yes	complemented
487	#14524017	C₂³	1	2	yes	—
488	#14524017	C₂³	1	4	yes	—
489	#14524017	C₂³	1	2	yes	—
490	#14524017	C₂³	1	2	yes	—
491	#14524017	C₂³	1	2	yes	—
492	#14524017	C₂³	1	4	yes	complemented
493	#14524017	C₂³	1	4	yes	complemented
494	#14524017	C₂³	1	4	yes	complemented
495	#14524017	C₂³	1	4	yes	complemented
496	#14524017	C₂³	1	2	yes	complemented
497	#14524017	C₂³	1	4	yes	complemented
498	#14524016	C₂³	1	4	yes	—
499	#14524016	C₂³	1	4	yes	—
500	#14524016	C₂³	1	4	yes	—
501	#14524016	C₂³	1	4	yes	—
502	#14524016	C₂³	1	4	yes	—
503	#14524016	C₂³	1	2	yes	—
504	#14524016	C₂³	1	2	yes	—
505	#14524016	C₂³	1	2	yes	complemented
506	#14524016	C₂³	1	4	yes	complemented
507	#14524016	C₂³	1	4	yes	complemented
508	#14524016	C₂³	1	4	yes	complemented
509	#14524016	C₂³	1	4	yes	complemented
510	#14524016	C₂³	1	4	yes	complemented
511	#14524016	C₂³	1	4	yes	complemented
512	#14524016	C₂³	1	4	yes	complemented
513	#14524016	C₂³	1	2	yes	complemented
514	#14524016	C₂³	1	4	yes	complemented
515	#14524016	C₂³	1	4	yes	complemented
516	#14524016	C₂³	1	4	yes	complemented
517	#14524015	C₂³	1	4	yes	—
518	#14524015	C₂³	1	4	yes	—
519	#14524015	C₂³	1	4	yes	—
520	#14524015	C₂³	1	4	yes	—
521	#14524015	C₂³	1	4	yes	—
522	#14524015	C₂³	1	2	yes	—
523	#14524015	C₂³	1	2	yes	—
524	#14524015	C₂³	1	2	yes	complemented
525	#14524015	C₂³	1	4	yes	complemented
526	#14524015	C₂³	1	4	yes	complemented
527	#14524015	C₂³	1	4	yes	complemented
528	#14524015	C₂³	1	4	yes	complemented
529	#14524015	C₂³	1	4	yes	complemented
530	#14524015	C₂³	1	4	yes	complemented
531	#14524015	C₂³	1	4	yes	complemented
532	#14524015	C₂³	1	2	yes	complemented
533	#14524015	C₂³	1	4	yes	complemented
534	#14524015	C₂³	1	4	yes	complemented
535	#14524015	C₂³	1	4	yes	complemented
536	#14524014	C₂³	1	4	yes	—
537	#14524014	C₂³	1	2	yes	—
538	#14524014	C₂³	1	2	yes	—
539	#14524014	C₂³	1	2	yes	—
540	#14524014	C₂³	1	2	yes	—
541	#14524014	C₂³	1	4	yes	complemented
542	#14524014	C₂³	1	4	yes	complemented
543	#14524014	C₂³	1	4	yes	complemented
544	#14524014	C₂³	1	4	yes	complemented
545	#14524014	C₂³	1	2	yes	complemented
546	#14524014	C₂³	1	4	yes	complemented
547	#14524013	C₂³	1	4	yes	—
548	#14524013	C₂³	1	4	yes	—
549	#14524013	C₂³	1	4	yes	—
550	#14524013	C₂³	1	4	yes	—
551	#14524013	C₂³	1	2	yes	—
552	#14524013	C₂³	1	2	yes	—
553	#14524013	C₂³	1	4	yes	—
554	#14524012	C₂³	1	4	yes	—
555	#14524012	C₂³	1	2	yes	—
556	#14524012	C₂³	1	2	yes	—
557	#14524011	C₂³	1	4	yes	—
558	#14524011	C₂³	1	4	yes	—
559	#14524011	C₂³	1	4	yes	—
560	#14524011	C₂³	1	4	yes	—
561	#14524011	C₂³	1	2	yes	—
562	#14524011	C₂³	1	4	yes	—
563	#14524011	C₂³	1	2	yes	—
564	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
565	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
566	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
567	#14524008	C₂³	1	4	yes	complemented
568	#14524008	C₂³	1	2	yes	complemented
569	C₄×D₂₆₈	C₂³	1	2	yes	—
570	C₄×D₂₆₈	C₂³	1	2	yes	—
571	C₄×D₂₆₈	C₂³	1	4	yes	complemented
572	C₄×D₂₆₈	C₂³	1	4	yes	complemented
573	C₄×D₂₆₈	C₂³	1	2	yes	complemented
574	C₄×D₂₆₈	C₂³	1	4	yes	complemented
575	D₄×Dic₆₇	C₂³	1	2	yes	—
576	D₄×Dic₆₇	C₂³	1	2	yes	—
577	D₄×Dic₆₇	C₂³	1	4	yes	complemented
578	D₄×Dic₆₇	C₂³	1	4	yes	complemented
579	D₄×Dic₆₇	C₂³	1	2	yes	complemented
580	D₄×Dic₆₇	C₂³	1	4	yes	complemented
581	#14524005	C₂³	1	2	yes	—
582	#14524005	C₂³	1	2	yes	—
583	#14524005	C₂³	1	4	yes	complemented
584	#14524005	C₂³	1	4	yes	complemented
585	#14524005	C₂³	1	2	yes	complemented
586	#14524005	C₂³	1	4	yes	complemented
587	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
588	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
589	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
590	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
591	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
592	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
593	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
594	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
595	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
596	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
597	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
598	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
599	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
600	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
601	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
602	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
603	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
604	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	complemented
605	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
606	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
607	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
608	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
609	#14524002	C₂³	1	1	yes	characteristic
610	#14524002	C₂³	1	4	yes	complemented
611	#14524002	C₂³	1	4	yes	complemented
612	#14524002	C₂³	1	1	yes	characteristic, complemented
613	#14524001	C₂³	1	2	yes	—
614	#14524001	C₂³	1	4	yes	complemented
615	#14524001	C₂³	1	4	yes	complemented
616	#14524001	C₂³	1	4	yes	complemented
617	#14524001	C₂³	1	4	yes	complemented
618	#14524001	C₂³	1	2	yes	complemented
619	#14524000	C₂³	1	2	yes	—
620	#14524000	C₂³	1	4	yes	complemented
621	#14524000	C₂³	1	4	yes	complemented
622	#14524000	C₂³	1	4	yes	complemented
623	#14524000	C₂³	1	4	yes	complemented
624	#14524000	C₂³	1	2	yes	complemented
625	#14523999	C₂³	1	2	yes	—
626	#14523999	C₂³	1	4	yes	complemented
627	#14523999	C₂³	1	4	yes	complemented
628	#14523999	C₂³	1	4	yes	complemented
629	#14523999	C₂³	1	4	yes	complemented
630	#14523999	C₂³	1	2	yes	complemented
631	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
632	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
633	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
634	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
635	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
636	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
637	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
638	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
639	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
640	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
641	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
642	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
643	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
644	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
645	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
646	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
647	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
648	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
649	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
650	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
651	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
652	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
653	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
654	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
655	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
656	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
657	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
658	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
659	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
660	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
661	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
662	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
663	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
664	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
665	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
666	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
667	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
668	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
669	C₂×C₄×Dic₆₇	C₂³	1	2	yes	complemented
670	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic, complemented
671	C₄²×D₆₇	C₂³	1	1	yes	characteristic
672	C₄²×D₆₇	C₂³	1	2	yes	—
673	C₄²×D₆₇	C₂³	1	1	yes	characteristic
674	C₄²×D₆₇	C₂³	1	2	yes	—
675	C₄²×D₆₇	C₂³	1	4	yes	—
676	C₄²×D₆₇	C₂³	1	2	yes	—
677	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
678	C₄²×D₆₇	C₂³	1	2	yes	complemented
679	C₄²×D₆₇	C₂³	1	1	yes	characteristic, complemented
680	C₂×#41×C₆₇	C₂³	1	2	yes	—
681	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
682	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic, complemented
683	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
684	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
685	C₄⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
686	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
687	#127×C₆₇	C₂³	1	2	yes	—
688	#127×C₆₇	C₂³	1	1	yes	characteristic
689	#126×C₆₇	C₂³	1	4	yes	—
690	#126×C₆₇	C₂³	1	4	yes	complemented
691	#126×C₆₇	C₂³	1	4	yes	complemented
692	#125×C₆₇	C₂³	1	4	yes	complemented
693	#125×C₆₇	C₂³	1	2	yes	complemented
694	#124×C₆₇	C₂³	1	2	yes	—
695	#124×C₆₇	C₂³	1	1	yes	characteristic
696	#124×C₆₇	C₂³	1	2	yes	—
697	#124×C₆₇	C₂³	1	2	yes	—
698	#124×C₆₇	C₂³	1	4	yes	complemented
699	#124×C₆₇	C₂³	1	1	yes	characteristic, complemented
700	#123×C₆₇	C₂³	1	4	yes	—
701	#123×C₆₇	C₂³	1	2	yes	—
702	#123×C₆₇	C₂³	1	4	yes	—
703	#123×C₆₇	C₂³	1	4	yes	complemented
704	#123×C₆₇	C₂³	1	4	yes	complemented
705	#123×C₆₇	C₂³	1	2	yes	complemented
706	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
707	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
708	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
709	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
710	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
711	#121×C₆₇	C₂³	1	4	yes	—
712	#121×C₆₇	C₂³	1	2	yes	—
713	#121×C₆₇	C₂³	1	2	yes	—
714	#121×C₆₇	C₂³	1	2	yes	—
715	#121×C₆₇	C₂³	1	2	yes	—
716	#121×C₆₇	C₂³	1	4	yes	complemented
717	#121×C₆₇	C₂³	1	2	yes	complemented
718	#121×C₆₇	C₂³	1	4	yes	complemented
719	#121×C₆₇	C₂³	1	4	yes	complemented
720	#121×C₆₇	C₂³	1	4	yes	complemented
721	#121×C₆₇	C₂³	1	4	yes	complemented
722	#120×C₆₇	C₂³	1	4	yes	—
723	#120×C₆₇	C₂³	1	2	yes	—
724	#120×C₆₇	C₂³	1	2	yes	—
725	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
726	C₄×D₄×C₆₇	C₂³	1	2	yes	—
727	C₄×D₄×C₆₇	C₂³	1	2	yes	—
728	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
729	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
730	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
731	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
732	#117×C₆₇	C₂³	1	1	yes	characteristic
733	#117×C₆₇	C₂³	1	4	yes	complemented
734	#117×C₆₇	C₂³	1	4	yes	complemented
735	#117×C₆₇	C₂³	1	1	yes	characteristic, complemented
736	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
737	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
738	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic, complemented
739	C₂³×D₆₇	—	4	4	no	—
740	C₂³×D₆₇	—	4	8	no	—
741	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
742	C₂³×D₆₇	C₂⁴	1	4	yes	—
743	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
744	C₂³×D₆₇	C₂⁴	1	2	yes	—
745	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
746	C₂³×D₆₇	C₂⁴	1	2	yes	—
747	C₂³×D₆₇	C₂⁴	1	4	yes	—
748	#11761629	—	4	2	no	—
749	#11761629	—	4	2	no	—
750	#11761629	—	4	4	no	—
751	#11761628	—	4	8	no	—
752	#11761628	—	4	4	no	—
753	#11761628	—	4	2	no	—
754	#11761628	—	4	2	no	—
755	#11761628	—	4	2	no	—
756	#11761628	—	4	2	no	—
757	#11761628	—	4	4	no	—
758	#11761627	—	4	4	no	—
759	#11761627	—	4	8	no	—
760	#11761627	—	4	2	no	—
761	#11761627	—	4	2	no	—
762	#11761627	—	4	2	no	—
763	#11761627	—	4	2	no	—
764	#11761627	—	4	4	no	—
765	C₂×Dic₁₃₄	—	4	4	no	—
766	C₂×Dic₁₃₄	—	4	2	no	—
767	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
768	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
769	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
770	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
771	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
772	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
773	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
774	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
775	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
776	Q₈×D₆₇	—	2	8	no	—
777	Q₈×D₆₇	—	4	4	no	—
778	Q₈×D₆₇	—	4	4	no	—
779	Q₈×D₆₇	—	4	4	no	—
780	Q₈×D₆₇	—	4	2	no	—
781	Q₈×D₆₇	—	4	2	no	—
782	C₂×D₂₆₈	—	4	2	no	—
783	C₂×D₂₆₈	C₂⁴	1	2	yes	—
784	C₂×D₂₆₈	C₂⁴	1	2	yes	—
785	C₂×D₂₆₈	C₂⁴	1	4	yes	—
786	C₂×D₂₆₈	C₂⁴	1	4	yes	—
787	C₂×D₂₆₈	C₂⁴	1	4	yes	—
788	C₂×D₂₆₈	C₂⁴	1	2	yes	—
789	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
790	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
791	C₂×D₂₆₈	C₂⁴	1	4	yes	—
792	C₂×D₂₆₈	C₂⁴	1	2	yes	—
793	C₂×D₂₆₈	C₂⁴	1	2	yes	—
794	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
795	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
796	C₂×C₂²⋊D₆₇	—	4	4	no	—
797	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
799	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
800	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
807	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
808	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
809	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
810	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
812	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
813	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
815	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
817	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
818	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
819	C₂×C₂²⋊D₆₇	C₂⁴	1	1	yes	characteristic
820	D₄×D₆₇	—	2	8	no	—
821	D₄×D₆₇	—	4	4	no	—
822	D₄×D₆₇	—	4	4	no	—
823	D₄×D₆₇	—	4	4	no	—
824	D₄×D₆₇	—	4	8	no	—
825	D₄×D₆₇	—	4	4	no	—
826	D₄×D₆₇	—	4	8	no	—
827	D₄×D₆₇	—	4	8	no	—
828	D₄×D₆₇	—	4	4	no	—
829	D₄×D₆₇	—	4	4	no	—
830	D₄×D₆₇	—	4	2	no	—
831	D₄×D₆₇	—	4	2	no	—
832	D₄×D₆₇	—	4	2	no	—
833	D₄×D₆₇	—	4	2	no	—
834	D₄×D₆₇	—	4	8	no	—
835	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
836	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
837	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
838	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
839	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
840	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
841	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
842	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
843	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
844	C₂×C₄×D₆₇	—	2	4	no	—
845	C₂×C₄×D₆₇	—	2	4	no	—
846	C₂×C₄×D₆₇	—	2	8	no	—
847	C₂×C₄×D₆₇	—	2	4	no	—
848	C₂×C₄×D₆₇	—	4	8	no	—
849	C₂×C₄×D₆₇	—	4	4	no	—
850	C₂×C₄×D₆₇	—	4	8	no	—
851	C₂×C₄×D₆₇	—	4	4	no	—
852	C₂×C₄×D₆₇	—	4	8	no	—
853	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
854	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
855	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
856	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
857	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
858	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
859	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
860	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
861	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
862	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
863	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
864	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
865	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
866	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
867	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
868	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
869	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
870	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
871	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
872	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
873	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
874	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
875	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
876	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
877	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
878	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
879	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
880	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
881	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
882	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
883	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
884	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
885	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
886	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
887	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
888	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
889	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
890	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
891	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
892	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
893	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
894	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
895	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
896	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
897	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
898	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
899	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
900	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
901	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
902	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
903	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
904	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
905	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
906	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
907	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
908	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
909	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
910	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
911	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
912	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
913	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
914	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
915	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
916	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
917	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
918	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
919	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
920	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
921	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
922	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
923	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
924	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
925	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
926	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
927	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
928	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
929	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
930	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
931	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
932	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
933	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
934	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
935	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
936	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
937	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
938	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
939	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
940	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
941	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
942	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
943	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
944	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
945	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
946	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
947	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
948	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
949	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
950	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
951	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
952	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
953	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
954	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
955	C₄×Dic₆₇	C₂⁴	1	2	yes	—
956	C₄×Dic₆₇	C₂⁴	1	2	yes	—
957	C₄×Dic₆₇	C₂⁴	1	2	yes	—
958	C₄×Dic₆₇	C₂⁴	1	2	yes	—
959	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
960	C₄×Dic₆₇	C₂⁴	1	2	yes	—
961	C₄×Dic₆₇	C₂⁴	1	4	yes	—
962	C₄×Dic₆₇	C₂⁴	1	2	yes	—
963	C₄×Dic₆₇	C₂⁴	1	4	yes	—
964	C₄×Dic₆₇	C₂⁴	1	4	yes	—
965	C₄×Dic₆₇	C₂⁴	1	4	yes	—
966	C₄×Dic₆₇	C₂⁴	1	4	yes	—
967	C₄×Dic₆₇	C₂⁴	1	2	yes	—
968	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
969	#41×C₆₇	—	4	2	no	—
970	#41×C₆₇	—	4	2	no	—
971	#41×C₆₇	—	4	4	no	—
972	C₂×Q₈×C₆₇	—	4	2	no	—
973	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
974	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
975	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
976	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
977	C₂×D₄×C₆₇	—	4	2	no	—
978	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
979	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
980	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
981	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
982	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
983	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
984	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
985	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
986	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
987	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
988	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
989	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
990	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
991	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
992	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
993	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
994	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
995	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
996	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
997	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
998	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
999	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1000	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1001	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1002	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1003	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1004	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1005	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1006	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1007	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1008	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1009	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1010	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1011	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1012	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1013	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1014	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1015	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1016	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1017	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1018	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1019	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1021	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1022	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1023	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1024	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1025	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1026	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1027	C₄²×C₆₇	C₂⁴	1	2	yes	—
1028	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
1029	C₄²×C₆₇	C₂⁴	1	2	yes	—
1030	C₄²×C₆₇	C₂⁴	1	4	yes	—
1031	C₄²×C₆₇	C₂⁴	1	2	yes	—
1032	C₂³×C₆₇	—	4	2	no	—
1033	C₂³×C₆₇	—	4	4	no	—
1034	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1035	C₂³×C₆₇	C₂⁵	1	4	yes	—
1036	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1037	C₂³×C₆₇	C₂⁵	1	2	yes	—
1038	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1039	C₂²×D₆₇	—	2	2	no	—
1040	C₂²×D₆₇	—	2	4	no	—
1041	C₂²×D₆₇	—	2	2	no	—
1042	C₂²×D₆₇	—	2	2	no	—
1043	C₂²×D₆₇	—	2	8	no	—
1044	C₂²×D₆₇	—	2	4	no	—
1045	C₂²×D₆₇	—	2	4	no	—
1046	C₂²×D₆₇	—	2	8	no	—
1047	C₂²×D₆₇	—	2	4	no	—
1048	C₂²×D₆₇	—	2	4	no	—
1049	C₂²×D₆₇	—	2	8	no	—
1050	C₂²×D₆₇	—	2	4	no	—
1051	C₂²×D₆₇	—	4	4	no	—
1052	C₂²×D₆₇	—	4	2	no	—
1053	C₂²×D₆₇	—	4	4	no	—
1054	C₂²×D₆₇	—	4	4	no	—
1055	C₂²×D₆₇	—	4	4	no	—
1056	C₂²×D₆₇	—	8	16	no	—
1057	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1058	C₂²×D₆₇	C₂⁵	1	4	yes	—
1059	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1060	C₂²×D₆₇	C₂⁵	1	2	yes	—
1061	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1062	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1063	Q₈×C₆₇	—	2	4	no	—
1064	Q₈×C₆₇	—	4	2	no	—
1065	Q₈×C₆₇	—	4	1	no	—
1066	Q₈×C₆₇	—	4	1	no	—
1067	D₄×C₆₇	—	2	4	no	—
1068	D₄×C₆₇	—	4	2	no	—
1069	D₄×C₆₇	—	4	4	no	—
1070	D₄×C₆₇	—	4	1	no	—
1071	D₄×C₆₇	—	4	1	no	—
1072	D₄×C₆₇	—	4	1	no	—
1073	D₄×C₆₇	—	4	2	no	—
1074	D₄×C₆₇	—	4	1	no	—
1075	D₄×C₆₇	—	4	4	no	—
1076	D₄×C₆₇	—	4	2	no	—
1077	D₄×C₆₇	—	4	4	no	—
1078	D₄×C₆₇	—	4	4	no	—
1079	D₄×C₆₇	—	4	2	no	—
1080	C₂×C₄×C₆₇	—	2	2	no	—
1081	C₂×C₄×C₆₇	—	2	2	no	—
1082	C₂×C₄×C₆₇	—	2	2	no	—
1083	C₂×C₄×C₆₇	—	2	4	no	—
1084	C₂×C₄×C₆₇	—	4	2	no	—
1085	C₂×C₄×C₆₇	—	4	4	no	—
1086	C₂×C₄×C₆₇	—	4	4	no	—
1087	C₂×C₄×C₆₇	—	4	2	no	—
1088	C₂×C₄×C₆₇	—	4	4	no	—
1089	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1090	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1091	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1092	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1093	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1094	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1095	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1096	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1097	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1098	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1099	C₂²⋊D₆₇	—	2	8	no	—
1100	C₂²⋊D₆₇	—	4	4	no	—
1101	C₂²⋊D₆₇	—	4	4	no	—
1102	C₂²⋊D₆₇	—	4	4	no	—
1103	C₂²⋊D₆₇	—	4	2	no	—
1104	C₂²⋊D₆₇	—	4	4	no	—
1105	C₂²⋊D₆₇	—	4	4	no	—
1106	C₂²⋊D₆₇	—	4	4	no	—
1107	C₂²⋊D₆₇	—	4	2	no	—
1108	C₂²⋊D₆₇	—	4	2	no	—
1109	C₂²⋊D₆₇	—	4	4	no	—
1110	C₂²⋊D₆₇	—	4	2	no	—
1111	C₂²⋊D₆₇	—	4	4	no	—
1112	C₂²⋊D₆₇	—	4	4	no	—
1113	C₂²⋊D₆₇	—	4	1	no	—
1114	C₂²⋊D₆₇	—	4	1	no	—
1115	C₂²⋊D₆₇	—	4	1	no	—
1116	C₂²⋊D₆₇	—	4	2	no	—
1117	C₂²⋊D₆₇	—	4	1	no	—
1118	C₂²⋊D₆₇	—	4	2	no	—
1119	C₂²⋊D₆₇	—	4	2	no	—
1120	C₂²⋊D₆₇	—	4	1	no	—
1121	C₂²⋊D₆₇	—	4	1	no	—
1122	C₂×Dic₆₇	—	2	2	no	—
1123	C₂×Dic₆₇	—	2	2	no	—
1124	C₂×Dic₆₇	—	2	2	no	—
1125	C₂×Dic₆₇	—	2	4	no	—
1126	C₂×Dic₆₇	—	4	4	no	—
1127	C₂×Dic₆₇	—	4	2	no	—
1128	C₂×Dic₆₇	—	4	4	no	—
1129	C₂×Dic₆₇	—	4	2	no	—
1130	C₂×Dic₆₇	—	4	4	no	—
1131	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1132	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1133	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1134	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1135	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1136	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1137	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1138	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1139	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1140	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1141	D₂₆₈	—	2	4	no	—
1142	D₂₆₈	—	4	2	no	—
1143	D₂₆₈	—	4	4	no	—
1144	D₂₆₈	—	4	2	no	—
1145	D₂₆₈	—	4	4	no	—
1146	D₂₆₈	—	4	4	no	—
1147	D₂₆₈	—	4	2	no	—
1148	D₂₆₈	—	4	4	no	—
1149	D₂₆₈	—	4	1	no	—
1150	D₂₆₈	—	4	1	no	—
1151	D₂₆₈	—	4	1	no	—
1152	D₂₆₈	—	4	2	no	—
1153	D₂₆₈	—	4	1	no	—
1154	C₄×D₆₇	—	2	4	no	—
1155	C₄×D₆₇	—	2	2	no	—
1156	C₄×D₆₇	—	2	2	no	—
1157	C₄×D₆₇	—	2	2	no	—
1158	C₄×D₆₇	—	2	8	no	—
1159	C₄×D₆₇	—	2	4	no	—
1160	C₄×D₆₇	—	2	8	no	—
1161	C₄×D₆₇	—	2	4	no	—
1162	C₄×D₆₇	—	2	8	no	—
1163	C₄×D₆₇	—	2	2	no	—
1164	C₄×D₆₇	—	2	2	no	—
1165	C₄×D₆₇	—	2	4	no	—
1166	C₄×D₆₇	—	2	2	no	—
1167	C₄×D₆₇	—	2	2	no	—
1168	C₄×D₆₇	—	2	2	no	—
1169	C₄×D₆₇	—	2	2	no	—
1170	C₄×D₆₇	—	2	4	no	—
1171	C₄×D₆₇	—	4	4	no	—
1172	C₄×D₆₇	—	4	2	no	—
1173	C₄×D₆₇	—	4	4	no	—
1174	C₄×D₆₇	—	4	4	no	—
1175	C₄×D₆₇	—	4	2	no	—
1176	C₄×D₆₇	—	4	4	no	—
1177	C₄×D₆₇	—	4	4	no	—
1178	C₄×D₆₇	—	4	4	no	—
1179	C₄×D₆₇	—	4	4	no	—
1180	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
1181	Dic₁₃₄	—	2	4	no	—
1182	Dic₁₃₄	—	2	8	no	—
1183	Dic₁₃₄	—	4	2	no	—
1184	Dic₁₃₄	—	4	4	no	—
1185	Dic₁₃₄	—	4	1	no	—
1186	Dic₁₃₄	—	4	1	no	—
1187	Dic₁₃₄	—	4	2	no	—
1188	Dic₁₃₄	—	4	1	no	—
1189	Dic₁₃₄	—	4	1	no	—
1190	C₂²×C₆₇	—	2	1	no	—
1191	C₂²×C₆₇	—	2	2	no	—
1192	C₂²×C₆₇	—	2	1	no	—
1193	C₂²×C₆₇	—	2	1	no	—
1194	C₂²×C₆₇	—	2	4	no	—
1195	C₂²×C₆₇	—	2	2	no	—
1196	C₂²×C₆₇	—	2	2	no	—
1197	C₂²×C₆₇	—	2	4	no	—
1198	C₂²×C₆₇	—	2	2	no	—
1199	C₂²×C₆₇	—	2	2	no	—
1200	C₂²×C₆₇	—	2	4	no	—
1201	C₂²×C₆₇	—	2	2	no	—
1202	C₂²×C₆₇	—	8	4	no	—
1203	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1204	C₂×D₆₇	—	2	1	no	—
1205	C₂×D₆₇	—	2	2	no	—
1206	C₂×D₆₇	—	2	1	no	—
1207	C₂×D₆₇	—	2	1	no	—
1208	C₂×D₆₇	—	2	4	no	—
1209	C₂×D₆₇	—	2	2	no	—
1210	C₂×D₆₇	—	2	2	no	—
1211	C₂×D₆₇	—	2	4	no	—
1212	C₂×D₆₇	—	2	2	no	—
1213	C₂×D₆₇	—	2	2	no	—
1214	C₂×D₆₇	—	2	4	no	—
1215	C₂×D₆₇	—	2	2	no	—
1216	C₂×D₆₇	—	4	4	no	—
1217	C₂×D₆₇	—	4	8	no	—
1218	C₂×D₆₇	—	4	4	no	—
1219	C₂×D₆₇	—	4	16	no	—
1220	C₂×D₆₇	—	4	4	no	—
1221	C₂×D₆₇	—	8	4	no	—
1222	C₂×D₆₇	—	8	8	no	—
1223	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1224	C₂×D₆₇	#585	1	4	yes	—
1225	C₄×C₆₇	—	2	4	no	—
1226	C₄×C₆₇	—	2	1	no	—
1227	C₄×C₆₇	—	2	1	no	—
1228	C₄×C₆₇	—	2	2	no	—
1229	C₄×C₆₇	—	2	1	no	—
1230	C₄×C₆₇	—	2	2	no	—
1231	C₄×C₆₇	—	2	4	no	—
1232	C₄×C₆₇	—	2	2	no	—
1233	C₄×C₆₇	—	2	4	no	—
1234	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1235	Dic₆₇	—	2	4	no	—
1236	Dic₆₇	—	2	1	no	—
1237	Dic₆₇	—	2	1	no	—
1238	Dic₆₇	—	2	2	no	—
1239	Dic₆₇	—	2	1	no	—
1240	Dic₆₇	—	2	2	no	—
1241	Dic₆₇	—	2	4	no	—
1242	Dic₆₇	—	2	2	no	—
1243	Dic₆₇	—	2	4	no	—
1244	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1245	C₂×#3551	—	67	1	no	maximal, Sylow
1246	C₂×C₆₇	—	4	1	no	—
1247	C₂×C₆₇	—	4	4	no	—
1248	C₂×C₆₇	—	4	1	no	—
1249	C₂×C₆₇	—	4	2	no	—
1250	C₂×C₆₇	—	4	1	no	—
1251	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1252	C₂×C₆₇	C₂×#585	1	2	yes	—
1253	D₆₇	—	4	1	no	—
1254	D₆₇	—	4	2	no	—
1255	D₆₇	—	4	1	no	—
1256	D₆₇	—	4	4	no	—
1257	D₆₇	—	4	1	no	—
1258	D₆₇	#3551	1	4	yes	direct product factor
1259	#3551	—	67	2	no	—
1260	#3551	—	67	2	no	—
1261	#3551	—	67	2	no	—
1262	#3551	—	67	2	no	—
1263	#3551	—	67	2	no	—
1264	#3551	—	67	2	no	—
1265	#3551	—	67	2	no	—
1266	#3551	—	67	2	no	—
1267	#3551	—	67	4	no	—
1268	#3551	—	67	4	no	—
1269	#3551	—	67	2	no	—
1270	#3551	—	67	1	no	—
1271	#3551	—	67	1	no	—
1272	#3551	—	67	1	no	—
1273	#3551	—	67	2	no	—
1274	#3551	D₆₇	1	1	yes	characteristic, direct product factor
1275	C₂×#563	—	67	2	no	—
1276	C₂×#560	—	67	2	no	—
1277	C₂×#555	—	67	2	no	—
1278	C₂×#553	—	67	2	no	—
1279	C₂×#552	—	67	2	no	—
1280	C₂×#551	—	67	2	no	—
1281	C₂×#548	—	67	2	no	—
1282	C₂×#546	—	67	2	no	—
1283	C₂×#540	—	67	4	no	—
1284	C₂×#538	—	67	4	no	—
1285	C₂×#537	—	67	2	no	—
1286	C₂×#536	—	67	1	no	—
1287	C₂×#535	—	67	1	no	—
1288	C₂×#532	—	67	1	no	—
1289	C₂×#529	—	67	2	no	—
1290	C₆₇	C₂×#3551	1	1	yes	characteristic, complemented, Sylow
1291	C₂²×#41	—	67	1	no	—
1292	C₂²×#41	—	67	2	no	—
1293	C₂²×#41	—	67	1	no	—
1294	C₂³×Q₈	—	67	1	no	—
1295	C₂³×D₄	—	67	1	no	—
1296	#563	—	67	2	no	—
1297	#563	—	67	2	no	—
1298	#563	—	67	4	no	—
1299	#563	—	67	4	no	—
1300	#563	—	67	4	no	—
1301	#563	—	67	2	no	—
1302	#563	—	67	4	no	—
1303	#563	—	67	4	no	—
1304	#563	—	67	4	no	—
1305	#563	C₂×D₆₇	1	2	yes	complemented
1306	#560	—	67	2	no	—
1307	#560	—	67	4	no	—
1308	#560	—	67	2	no	—
1309	#560	—	67	4	no	—
1310	#560	—	67	4	no	—
1311	#560	—	67	4	no	—
1312	#560	—	67	4	no	—
1313	#560	—	67	4	no	—
1314	#560	—	67	2	no	—
1315	#560	C₂×D₆₇	1	2	yes	complemented
1316	#555	—	67	2	no	—
1317	#555	—	67	2	no	—
1318	#555	—	67	4	no	—
1319	#555	—	67	2	no	—
1320	#555	—	67	4	no	—
1321	#555	—	67	4	no	—
1322	#555	—	67	4	no	—
1323	#555	—	67	4	no	—
1324	#555	—	67	4	no	—
1325	#555	C₂×D₆₇	1	2	yes	complemented
1326	#553	—	67	4	no	—
1327	#553	—	67	2	no	—
1328	#553	—	67	4	no	—
1329	#553	—	67	2	no	—
1330	#553	—	67	2	no	—
1331	#553	—	67	4	no	—
1332	#553	—	67	2	no	—
1333	#553	—	67	2	no	—
1334	#553	—	67	4	no	—
1335	#553	—	67	2	no	—
1336	#553	—	67	2	no	—
1337	#553	C₂×D₆₇	1	2	yes	complemented
1338	#552	—	67	4	no	—
1339	#552	—	67	4	no	—
1340	#552	—	67	2	no	—
1341	#552	—	67	4	no	—
1342	#552	—	67	2	no	—
1343	#552	—	67	2	no	—
1344	#552	—	67	2	no	—
1345	#552	—	67	2	no	—
1346	#552	—	67	2	no	—
1347	#552	—	67	4	no	—
1348	#552	—	67	2	no	—
1349	#552	C₂×D₆₇	1	2	yes	complemented
1350	#551	—	67	4	no	—
1351	#551	—	67	2	no	—
1352	#551	—	67	2	no	—
1353	#551	—	67	4	no	—
1354	#551	—	67	4	no	—
1355	#551	—	67	2	no	—
1356	#551	—	67	4	no	—
1357	#551	—	67	4	no	—
1358	#551	—	67	4	no	—
1359	#551	C₂×D₆₇	1	2	yes	complemented
1360	#548	—	67	2	no	—
1361	#548	—	67	2	no	—
1362	#548	—	67	2	no	—
1363	#548	—	67	4	no	—
1364	#548	—	67	2	no	—
1365	#548	—	67	4	no	—
1366	#548	—	67	2	no	—
1367	#548	—	67	4	no	—
1368	#548	—	67	2	no	—
1369	#548	—	67	4	no	—
1370	#548	—	67	2	no	—
1371	#548	C₂×D₆₇	1	2	yes	complemented
1372	#546	—	67	2	no	—
1373	#546	—	67	2	no	—
1374	#546	—	67	2	no	—
1375	#546	—	67	4	no	—
1376	#546	—	67	2	no	—
1377	#546	—	67	4	no	—
1378	#546	—	67	2	no	—
1379	#546	—	67	4	no	—
1380	#546	—	67	2	no	—
1381	#546	—	67	2	no	—
1382	#546	—	67	4	no	—
1383	#546	C₂×D₆₇	1	2	yes	complemented
1384	#540	—	67	4	no	—
1385	#540	—	67	4	no	—
1386	#540	—	67	4	no	—
1387	#540	—	67	4	no	—
1388	#540	—	67	4	no	—
1389	#540	—	67	4	no	—
1390	#540	—	67	4	no	—
1391	#540	—	67	4	no	—
1392	#540	—	67	4	no	—
1393	#540	—	67	4	no	—
1394	#540	—	67	4	no	—
1395	#540	—	67	4	no	—
1396	#540	—	67	4	no	—
1397	#540	—	67	4	no	—
1398	#540	—	67	4	no	—
1399	#540	C₂×D₆₇	1	4	yes	complemented
1400	#538	—	67	4	no	—
1401	#538	—	67	4	no	—
1402	#538	—	67	4	no	—
1403	#538	—	67	4	no	—
1404	#538	—	67	4	no	—
1405	#538	—	67	4	no	—
1406	#538	—	67	4	no	—
1407	#538	—	67	4	no	—
1408	#538	—	67	4	no	—
1409	#538	—	67	4	no	—
1410	#538	—	67	4	no	—
1411	#538	—	67	4	no	—
1412	#538	—	67	4	no	—
1413	#538	—	67	4	no	—
1414	#538	—	67	4	no	—
1415	#538	C₂×D₆₇	1	4	yes	complemented
1416	#537	—	67	2	no	—
1417	#537	—	67	2	no	—
1418	#537	—	67	2	no	—
1419	#537	—	67	4	no	—
1420	#537	—	67	2	no	—
1421	#537	—	67	2	no	—
1422	#537	—	67	2	no	—
1423	#537	—	67	4	no	—
1424	#537	—	67	4	no	—
1425	#537	—	67	4	no	—
1426	#537	—	67	2	no	—
1427	#537	C₂×D₆₇	1	2	yes	complemented
1428	#536	—	67	1	no	—
1429	#536	—	67	1	no	—
1430	#536	—	67	2	no	—
1431	#536	—	67	2	no	—
1432	#536	—	67	2	no	—
1433	#536	—	67	2	no	—
1434	#536	—	67	2	no	—
1435	#536	—	67	2	no	—
1436	#536	—	67	1	no	—
1437	#536	C₂×D₆₇	1	1	yes	characteristic, complemented
1438	#535	—	67	1	no	—
1439	#535	—	67	1	no	—
1440	#535	—	67	2	no	—
1441	#535	—	67	2	no	—
1442	#535	—	67	2	no	—
1443	#535	—	67	2	no	—
1444	#535	—	67	2	no	—
1445	#535	—	67	2	no	—
1446	#535	—	67	1	no	—
1447	#535	C₂×D₆₇	1	1	yes	characteristic, complemented
1448	#532	—	67	1	no	—
1449	#532	—	67	1	no	—
1450	#532	—	67	1	no	—
1451	#532	—	67	1	no	—
1452	#532	—	67	1	no	—
1453	#532	—	67	1	no	—
1454	#532	—	67	2	no	—
1455	#532	—	67	2	no	—
1456	#532	—	67	2	no	—
1457	#532	—	67	2	no	—
1458	#532	—	67	1	no	—
1459	#532	C₂×D₆₇	1	1	yes	characteristic, complemented
1460	C₂×C₄⋊Q₈	—	67	1	no	—
1461	C₂×C₄⋊Q₈	—	67	2	no	—
1462	C₂×#127	—	67	1	no	—
1463	C₂×#127	—	67	2	no	—
1464	#529	—	67	4	no	—
1465	#529	—	67	2	no	—
1466	#529	—	67	2	no	—
1467	#529	—	67	4	no	—
1468	#529	—	67	2	no	—
1469	#529	—	67	2	no	—
1470	#529	—	67	2	no	—
1471	#529	—	67	2	no	—
1472	#529	—	67	4	no	—
1473	#529	—	67	4	no	—
1474	#529	—	67	2	no	—
1475	#529	C₂×D₆₇	1	2	yes	complemented
1476	C₂×#126	—	67	4	no	—
1477	C₂×#126	—	67	4	no	—
1478	C₂×#126	—	67	4	no	—
1479	C₂×#125	—	67	2	no	—
1480	C₂×#125	—	67	4	no	—
1481	C₂×#124	—	67	2	no	—
1482	C₂×#124	—	67	1	no	—
1483	C₂×#124	—	67	2	no	—
1484	C₂×#124	—	67	2	no	—
1485	C₂×#124	—	67	1	no	—
1486	C₂×#124	—	67	4	no	—
1487	C₂×#123	—	67	2	no	—
1488	C₂×#123	—	67	4	no	—
1489	C₂×#123	—	67	4	no	—
1490	C₂×#123	—	67	4	no	—
1491	C₂×#123	—	67	2	no	—
1492	C₂×#123	—	67	4	no	—
1493	C₂×C₂²⋊Q₈	—	67	2	no	—
1494	C₂×C₂²⋊Q₈	—	67	2	no	—
1495	C₂×C₂²⋊Q₈	—	67	2	no	—
1496	C₂×C₂²⋊Q₈	—	67	4	no	—
1497	C₂×C₂²⋊Q₈	—	67	4	no	—
1498	C₂×#121	—	67	2	no	—
1499	C₂×#121	—	67	2	no	—
1500	C₂×#121	—	67	2	no	—
1501	C₂×#121	—	67	2	no	—
1502	C₂×#121	—	67	4	no	—
1503	C₂×#121	—	67	2	no	—
1504	C₂×#121	—	67	4	no	—
1505	C₂×#121	—	67	4	no	—
1506	C₂×#121	—	67	4	no	—
1507	C₂×#121	—	67	4	no	—
1508	C₂×#121	—	67	4	no	—
1509	C₂×#120	—	67	2	no	—
1510	C₂×#120	—	67	2	no	—
1511	C₂×#120	—	67	4	no	—
1512	C₂×C₄×Q₈	—	67	2	no	—
1513	C₂×C₄×D₄	—	67	2	no	—
1514	C₂×C₄×D₄	—	67	2	no	—
1515	C₂×C₄×D₄	—	67	4	no	—
1516	C₂×C₄×D₄	—	67	2	no	—
1517	C₂×C₄×D₄	—	67	4	no	—
1518	C₂×C₄×D₄	—	67	4	no	—
1519	C₂×#117	—	67	1	no	—
1520	C₂×#117	—	67	4	no	—
1521	C₂×#117	—	67	1	no	—
1522	C₂×#117	—	67	4	no	—
1523	C₂²×C₄⋊C₄	—	67	2	no	—
1524	C₂²×C₂²⋊C₄	—	67	4	no	—
1525	C₂²×C₄²	—	67	1	no	—
1526	C₂⁵	—	67	2	no	—
1527	C₂×#41	—	268	8	no	—
1528	C₂×#41	—	268	4	no	—
1529	C₂×#41	—	268	4	no	—
1530	C₂×#41	—	67	1	no	—
1531	C₂×#41	—	67	1	no	—
1532	C₂×#41	—	67	2	no	—
1533	C₂×#41	—	67	1	no	—
1534	C₂×#41	—	67	1	no	—
1535	C₂×#41	—	67	1	no	—
1536	C₂×#41	—	67	2	no	—
1537	C₂×#41	—	67	1	no	—
1538	C₂×#41	—	67	2	no	—
1539	C₂×#41	—	67	4	no	—
1540	C₂×#41	—	67	1	no	—
1541	C₂×#41	—	67	1	no	—
1542	C₂×#41	—	67	1	no	—
1543	C₂×#41	—	67	2	no	—
1544	C₂×#41	—	67	1	no	—
1545	C₂×#41	—	67	2	no	—
1546	C₂×#41	—	67	4	no	—
1547	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1548	C₂×#41	C₂²×D₆₇	1	2	yes	—
1549	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic, complemented
1550	C₂²×Q₈	—	268	4	no	—
1551	C₂²×Q₈	—	67	1	no	—
1552	C₂²×Q₈	—	67	2	no	—
1553	C₂²×Q₈	—	67	1	no	—
1554	C₂²×Q₈	—	67	2	no	—
1555	C₂²×Q₈	—	67	2	no	—
1556	C₂²×Q₈	—	67	2	no	—
1557	C₂²×Q₈	—	67	1	no	—
1558	C₂²×Q₈	—	67	2	no	—
1559	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1560	C₂²×D₄	—	268	4	no	—
1561	C₂²×D₄	—	67	2	no	—
1562	C₂²×D₄	—	67	2	no	—
1563	C₂²×D₄	—	67	4	no	—
1564	C₂²×D₄	—	67	4	no	—
1565	C₂²×D₄	—	67	4	no	—
1566	C₂²×D₄	—	67	2	no	—
1567	C₂²×D₄	—	67	1	no	—
1568	C₂²×D₄	—	67	1	no	—
1569	C₂²×D₄	—	67	4	no	—
1570	C₂²×D₄	—	67	2	no	—
1571	C₂²×D₄	—	67	1	no	—
1572	C₂²×D₄	—	67	2	no	—
1573	C₂²×D₄	—	67	1	no	—
1574	C₂²×D₄	—	67	2	no	—
1575	C₂²×D₄	—	67	2	no	—
1576	C₂²×D₄	—	67	2	no	—
1577	C₂²×D₄	—	67	1	no	—
1578	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1579	C₂³×C₄	—	67	4	no	—
1580	C₂³×C₄	—	67	4	no	—
1581	C₂³×C₄	—	67	4	no	—
1582	C₂³×C₄	—	67	2	no	—
1583	C₂³×C₄	—	67	2	no	—
1584	C₂³×C₄	—	67	2	no	—
1585	C₂³×C₄	—	67	1	no	—
1586	C₂³×C₄	—	67	1	no	—
1587	C₂³×C₄	—	67	1	no	—
1588	C₄⋊Q₈	—	67	1	no	—
1589	C₄⋊Q₈	—	67	1	no	—
1590	C₄⋊Q₈	—	67	2	no	—
1591	C₄⋊Q₈	—	67	2	no	—
1592	C₄⋊Q₈	—	67	2	no	—
1593	C₄⋊Q₈	—	67	2	no	—
1594	C₄⋊Q₈	—	67	4	no	—
1595	C₄⋊Q₈	—	67	4	no	—
1596	C₄⋊Q₈	—	67	1	no	—
1597	C₄⋊Q₈	—	67	2	no	—
1598	C₄⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1599	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1600	#127	—	67	1	no	—
1601	#127	—	67	1	no	—
1602	#127	—	67	2	no	—
1603	#127	—	67	2	no	—
1604	#127	—	67	2	no	—
1605	#127	—	67	2	no	—
1606	#127	—	67	4	no	—
1607	#127	—	67	4	no	—
1608	#127	—	67	1	no	—
1609	#127	—	67	2	no	—
1610	#127	C₂²×D₆₇	1	1	yes	characteristic
1611	#127	C₂²×D₆₇	1	2	yes	—
1612	#126	—	67	4	no	—
1613	#126	—	67	4	no	—
1614	#126	—	67	4	no	—
1615	#126	—	67	4	no	—
1616	#126	—	67	4	no	—
1617	#126	—	67	4	no	—
1618	#126	—	67	4	no	—
1619	#126	—	67	4	no	—
1620	#126	—	67	4	no	—
1621	#126	—	67	4	no	—
1622	#126	—	67	4	no	—
1623	#126	—	67	4	no	—
1624	#126	—	67	4	no	—
1625	#126	—	67	4	no	—
1626	#126	—	67	4	no	—
1627	#126	—	67	4	no	—
1628	#126	—	67	4	no	—
1629	#126	—	67	4	no	—
1630	#126	—	67	4	no	—
1631	#126	—	67	4	no	—
1632	#126	—	67	4	no	—
1633	#126	C₂²×D₆₇	1	4	yes	—
1634	#126	C₂²×D₆₇	1	4	yes	complemented
1635	#126	C₂²×D₆₇	1	4	yes	complemented
1636	#125	—	67	4	no	—
1637	#125	—	67	4	no	—
1638	#125	—	67	2	no	—
1639	#125	—	67	2	no	—
1640	#125	—	67	4	no	—
1641	#125	—	67	4	no	—
1642	#125	—	67	4	no	—
1643	#125	—	67	4	no	—
1644	#125	—	67	4	no	—
1645	#125	—	67	4	no	—
1646	#125	—	67	2	no	—
1647	#125	—	67	4	no	—
1648	#125	C₂²×D₆₇	1	2	yes	complemented
1649	#125	C₂²×D₆₇	1	4	yes	complemented
1650	#124	—	67	2	no	—
1651	#124	—	67	1	no	—
1652	#124	—	67	1	no	—
1653	#124	—	67	2	no	—
1654	#124	—	67	2	no	—
1655	#124	—	67	4	no	—
1656	#124	—	67	2	no	—
1657	#124	—	67	1	no	—
1658	#124	—	67	1	no	—
1659	#124	—	67	2	no	—
1660	#124	—	67	2	no	—
1661	#124	—	67	4	no	—
1662	#124	—	67	4	no	—
1663	#124	—	67	4	no	—
1664	#124	—	67	2	no	—
1665	#124	—	67	2	no	—
1666	#124	—	67	2	no	—
1667	#124	—	67	2	no	—
1668	#124	—	67	4	no	—
1669	#124	—	67	4	no	—
1670	#124	—	67	4	no	—
1671	#124	—	67	4	no	—
1672	#124	—	67	4	no	—
1673	#124	—	67	4	no	—
1674	#124	—	67	4	no	—
1675	#124	—	67	4	no	—
1676	#124	—	67	2	no	—
1677	#124	—	67	1	no	—
1678	#124	—	67	1	no	—
1679	#124	—	67	2	no	—
1680	#124	—	67	2	no	—
1681	#124	—	67	4	no	—
1682	#124	C₂²×D₆₇	1	2	yes	—
1683	#124	C₂²×D₆₇	1	1	yes	characteristic
1684	#124	C₂²×D₆₇	1	2	yes	—
1685	#124	C₂²×D₆₇	1	2	yes	—
1686	#124	C₂²×D₆₇	1	1	yes	characteristic, complemented
1687	#124	C₂²×D₆₇	1	4	yes	complemented
1688	#123	—	67	4	no	—
1689	#123	—	67	2	no	—
1690	#123	—	67	2	no	—
1691	#123	—	67	4	no	—
1692	#123	—	67	4	no	—
1693	#123	—	67	4	no	—
1694	#123	—	67	4	no	—
1695	#123	—	67	2	no	—
1696	#123	—	67	2	no	—
1697	#123	—	67	4	no	—
1698	#123	—	67	4	no	—
1699	#123	—	67	4	no	—
1700	#123	—	67	4	no	—
1701	#123	—	67	4	no	—
1702	#123	—	67	4	no	—
1703	#123	—	67	4	no	—
1704	#123	—	67	4	no	—
1705	#123	—	67	4	no	—
1706	#123	—	67	4	no	—
1707	#123	—	67	4	no	—
1708	#123	—	67	4	no	—
1709	#123	—	67	4	no	—
1710	#123	—	67	4	no	—
1711	#123	—	67	4	no	—
1712	#123	—	67	4	no	—
1713	#123	—	67	4	no	—
1714	#123	—	67	2	no	—
1715	#123	—	67	4	no	—
1716	#123	—	67	2	no	—
1717	#123	—	67	4	no	—
1718	#123	—	67	4	no	—
1719	#123	—	67	4	no	—
1720	#123	—	67	4	no	—
1721	#123	—	67	4	no	—
1722	#123	—	67	4	no	—
1723	#123	—	67	4	no	—
1724	#123	—	67	4	no	—
1725	#123	—	67	4	no	—
1726	#123	C₂²×D₆₇	1	2	yes	—
1727	#123	C₂²×D₆₇	1	4	yes	—
1728	#123	C₂²×D₆₇	1	4	yes	—
1729	#123	C₂²×D₆₇	1	4	yes	complemented
1730	#123	C₂²×D₆₇	1	2	yes	complemented
1731	#123	C₂²×D₆₇	1	4	yes	complemented
1732	C₂²⋊Q₈	—	67	2	no	—
1733	C₂²⋊Q₈	—	67	2	no	—
1734	C₂²⋊Q₈	—	67	2	no	—
1735	C₂²⋊Q₈	—	67	4	no	—
1736	C₂²⋊Q₈	—	67	4	no	—
1737	C₂²⋊Q₈	—	67	2	no	—
1738	C₂²⋊Q₈	—	67	2	no	—
1739	C₂²⋊Q₈	—	67	2	no	—
1740	C₂²⋊Q₈	—	67	4	no	—
1741	C₂²⋊Q₈	—	67	4	no	—
1742	C₂²⋊Q₈	—	67	4	no	—
1743	C₂²⋊Q₈	—	67	2	no	—
1744	C₂²⋊Q₈	—	67	4	no	—
1745	C₂²⋊Q₈	—	67	2	no	—
1746	C₂²⋊Q₈	—	67	4	no	—
1747	C₂²⋊Q₈	—	67	2	no	—
1748	C₂²⋊Q₈	—	67	4	no	—
1749	C₂²⋊Q₈	—	67	4	no	—
1750	C₂²⋊Q₈	—	67	4	no	—
1751	C₂²⋊Q₈	—	67	4	no	—
1752	C₂²⋊Q₈	—	67	4	no	—
1753	C₂²⋊Q₈	—	67	4	no	—
1754	C₂²⋊Q₈	—	67	4	no	—
1755	C₂²⋊Q₈	—	67	4	no	—
1756	C₂²⋊Q₈	—	67	4	no	—
1757	C₂²⋊Q₈	—	67	4	no	—
1758	C₂²⋊Q₈	—	67	4	no	—
1759	C₂²⋊Q₈	—	67	4	no	—
1760	C₂²⋊Q₈	—	67	4	no	—
1761	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1762	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1763	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1764	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1765	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1766	#121	—	67	2	no	—
1767	#121	—	67	4	no	—
1768	#121	—	67	2	no	—
1769	#121	—	67	2	no	—
1770	#121	—	67	2	no	—
1771	#121	—	67	2	no	—
1772	#121	—	67	2	no	—
1773	#121	—	67	2	no	—
1774	#121	—	67	2	no	—
1775	#121	—	67	4	no	—
1776	#121	—	67	4	no	—
1777	#121	—	67	4	no	—
1778	#121	—	67	4	no	—
1779	#121	—	67	4	no	—
1780	#121	—	67	4	no	—
1781	#121	—	67	4	no	—
1782	#121	—	67	2	no	—
1783	#121	—	67	4	no	—
1784	#121	—	67	4	no	—
1785	#121	—	67	4	no	—
1786	#121	—	67	4	no	—
1787	#121	—	67	4	no	—
1788	#121	—	67	4	no	—
1789	#121	—	67	4	no	—
1790	#121	—	67	4	no	—
1791	#121	—	67	4	no	—
1792	#121	—	67	4	no	—
1793	#121	—	67	4	no	—
1794	#121	—	67	4	no	—
1795	#121	—	67	4	no	—
1796	#121	—	67	2	no	—
1797	#121	—	67	2	no	—
1798	#121	—	67	2	no	—
1799	#121	—	67	2	no	—
1800	#121	—	67	4	no	—
1801	#121	—	67	4	no	—
1802	#121	—	67	2	no	—
1803	#121	—	67	4	no	—
1804	#121	—	67	4	no	—
1805	#121	—	67	4	no	—
1806	#121	—	67	4	no	—
1807	#121	—	67	2	no	—
1808	#121	—	67	2	no	—
1809	#121	—	67	2	no	—
1810	#121	—	67	2	no	—
1811	#121	—	67	4	no	—
1812	#121	—	67	4	no	—
1813	#121	—	67	2	no	—
1814	#121	—	67	4	no	—
1815	#121	—	67	4	no	—
1816	#121	—	67	4	no	—
1817	#121	—	67	4	no	—
1818	#121	—	67	4	no	—
1819	#121	—	67	2	no	—
1820	#121	—	67	2	no	—
1821	#121	—	67	2	no	—
1822	#121	—	67	2	no	—
1823	#121	—	67	4	no	—
1824	#121	—	67	4	no	—
1825	#121	—	67	4	no	—
1826	#121	—	67	4	no	—
1827	#121	—	67	4	no	—
1828	#121	—	67	4	no	—
1829	#121	—	67	4	no	—
1830	#121	—	67	4	no	—
1831	#121	—	67	4	no	—
1832	#121	—	67	4	no	—
1833	#121	—	67	4	no	—
1834	#121	—	67	4	no	—
1835	#121	—	67	4	no	—
1836	#121	—	67	4	no	—
1837	#121	C₂²×D₆₇	1	2	yes	—
1838	#121	C₂²×D₆₇	1	2	yes	—
1839	#121	C₂²×D₆₇	1	2	yes	—
1840	#121	C₂²×D₆₇	1	2	yes	—
1841	#121	C₂²×D₆₇	1	4	yes	—
1842	#121	C₂²×D₆₇	1	2	yes	complemented
1843	#121	C₂²×D₆₇	1	4	yes	complemented
1844	#121	C₂²×D₆₇	1	4	yes	complemented
1845	#121	C₂²×D₆₇	1	4	yes	complemented
1846	#121	C₂²×D₆₇	1	4	yes	complemented
1847	#121	C₂²×D₆₇	1	4	yes	complemented
1848	#120	—	67	2	no	—
1849	#120	—	67	2	no	—
1850	#120	—	67	4	no	—
1851	#120	—	67	2	no	—
1852	#120	—	67	4	no	—
1853	#120	—	67	2	no	—
1854	#120	—	67	4	no	—
1855	#120	—	67	4	no	—
1856	#120	—	67	4	no	—
1857	#120	—	67	4	no	—
1858	#120	—	67	4	no	—
1859	#120	—	67	2	no	—
1860	#120	—	67	4	no	—
1861	#120	—	67	2	no	—
1862	#120	—	67	4	no	—
1863	#120	—	67	4	no	—
1864	#120	—	67	4	no	—
1865	#120	C₂²×D₆₇	1	2	yes	—
1866	#120	C₂²×D₆₇	1	2	yes	—
1867	#120	C₂²×D₆₇	1	4	yes	—
1868	C₄×Q₈	—	67	2	no	—
1869	C₄×Q₈	—	67	4	no	—
1870	C₄×Q₈	—	67	2	no	—
1871	C₄×Q₈	—	67	4	no	—
1872	C₄×Q₈	—	67	2	no	—
1873	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1874	C₄×D₄	—	67	4	no	—
1875	C₄×D₄	—	67	2	no	—
1876	C₄×D₄	—	67	2	no	—
1877	C₄×D₄	—	67	2	no	—
1878	C₄×D₄	—	67	4	no	—
1879	C₄×D₄	—	67	4	no	—
1880	C₄×D₄	—	67	4	no	—
1881	C₄×D₄	—	67	4	no	—
1882	C₄×D₄	—	67	4	no	—
1883	C₄×D₄	—	67	2	no	—
1884	C₄×D₄	—	67	2	no	—
1885	C₄×D₄	—	67	2	no	—
1886	C₄×D₄	—	67	2	no	—
1887	C₄×D₄	—	67	4	no	—
1888	C₄×D₄	—	67	4	no	—
1889	C₄×D₄	—	67	4	no	—
1890	C₄×D₄	—	67	4	no	—
1891	C₄×D₄	—	67	4	no	—
1892	C₄×D₄	—	67	2	no	—
1893	C₄×D₄	—	67	2	no	—
1894	C₄×D₄	—	67	2	no	—
1895	C₄×D₄	—	67	4	no	—
1896	C₄×D₄	—	67	4	no	—
1897	C₄×D₄	—	67	4	no	—
1898	C₄×D₄	—	67	4	no	—
1899	C₄×D₄	—	67	4	no	—
1900	C₄×D₄	—	67	2	no	—
1901	C₄×D₄	—	67	2	no	—
1902	C₄×D₄	—	67	2	no	—
1903	C₄×D₄	—	67	2	no	—
1904	C₄×D₄	—	67	4	no	—
1905	C₄×D₄	—	67	4	no	—
1906	C₄×D₄	—	67	4	no	—
1907	C₄×D₄	—	67	4	no	—
1908	C₄×D₄	—	67	4	no	—
1909	C₄×D₄	—	67	2	no	—
1910	C₄×D₄	—	67	2	no	—
1911	C₄×D₄	—	67	2	no	—
1912	C₄×D₄	—	67	4	no	—
1913	C₄×D₄	—	67	4	no	—
1914	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1915	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1916	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1917	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1918	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1919	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1920	#117	—	67	4	no	—
1921	#117	—	67	1	no	—
1922	#117	—	67	1	no	—
1923	#117	—	67	4	no	—
1924	#117	—	67	4	no	—
1925	#117	—	67	4	no	—
1926	#117	—	67	2	no	—
1927	#117	—	67	2	no	—
1928	#117	—	67	4	no	—
1929	#117	—	67	4	no	—
1930	#117	—	67	4	no	—
1931	#117	—	67	4	no	—
1932	#117	—	67	2	no	—
1933	#117	—	67	2	no	—
1934	#117	—	67	4	no	—
1935	#117	—	67	4	no	—
1936	#117	—	67	4	no	—
1937	#117	—	67	4	no	—
1938	#117	—	67	2	no	—
1939	#117	—	67	2	no	—
1940	#117	—	67	4	no	—
1941	#117	—	67	4	no	—
1942	#117	C₂²×D₆₇	1	1	yes	characteristic
1943	#117	C₂²×D₆₇	1	4	yes	complemented
1944	#117	C₂²×D₆₇	1	1	yes	characteristic, complemented
1945	#117	C₂²×D₆₇	1	4	yes	complemented
1946	C₂×C₄⋊C₄	—	67	4	no	—
1947	C₂×C₄⋊C₄	—	67	2	no	—
1948	C₂×C₄⋊C₄	—	67	2	no	—
1949	C₂×C₄⋊C₄	—	67	2	no	—
1950	C₂×C₄⋊C₄	—	67	4	no	—
1951	C₂×C₄⋊C₄	—	67	4	no	—
1952	C₂×C₄⋊C₄	—	67	2	no	—
1953	C₂×C₄⋊C₄	—	67	2	no	—
1954	C₂×C₄⋊C₄	—	67	4	no	—
1955	C₂×C₄⋊C₄	—	67	4	no	—
1956	C₂×C₄⋊C₄	—	67	4	no	—
1957	C₂×C₄⋊C₄	—	67	4	no	—
1958	C₂×C₄⋊C₄	—	67	2	no	—
1959	C₂×C₄⋊C₄	—	67	2	no	—
1960	C₂×C₄⋊C₄	—	67	4	no	—
1961	C₂×C₄⋊C₄	—	67	4	no	—
1962	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
1963	C₂×C₂²⋊C₄	—	67	4	no	—
1964	C₂×C₂²⋊C₄	—	67	4	no	—
1965	C₂×C₂²⋊C₄	—	67	4	no	—
1966	C₂×C₂²⋊C₄	—	67	2	no	—
1967	C₂×C₂²⋊C₄	—	67	4	no	—
1968	C₂×C₂²⋊C₄	—	67	4	no	—
1969	C₂×C₂²⋊C₄	—	67	4	no	—
1970	C₂×C₂²⋊C₄	—	67	4	no	—
1971	C₂×C₂²⋊C₄	—	67	4	no	—
1972	C₂×C₂²⋊C₄	—	67	4	no	—
1973	C₂×C₂²⋊C₄	—	67	4	no	—
1974	C₂×C₂²⋊C₄	—	67	2	no	—
1975	C₂×C₂²⋊C₄	—	67	2	no	—
1976	C₂×C₂²⋊C₄	—	67	4	no	—
1977	C₂×C₂²⋊C₄	—	67	4	no	—
1978	C₂×C₂²⋊C₄	—	67	2	no	—
1979	C₂×C₂²⋊C₄	—	67	2	no	—
1980	C₂×C₂²⋊C₄	—	67	2	no	—
1981	C₂×C₂²⋊C₄	—	67	4	no	—
1982	C₂×C₂²⋊C₄	—	67	4	no	—
1983	C₂×C₂²⋊C₄	—	67	4	no	—
1984	C₂×C₂²⋊C₄	—	67	4	no	—
1985	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1986	C₂×C₄²	—	67	1	no	—
1987	C₂×C₄²	—	67	2	no	—
1988	C₂×C₄²	—	67	1	no	—
1989	C₂×C₄²	—	67	2	no	—
1990	C₂×C₄²	—	67	4	no	—
1991	C₂×C₄²	—	67	2	no	—
1992	C₂×C₄²	—	67	2	no	—
1993	C₂×C₄²	—	67	1	no	—
1994	C₂×C₄²	—	67	1	no	—
1995	C₂×C₄²	—	67	2	no	—
1996	C₂×C₄²	—	67	1	no	—
1997	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic, complemented
1998	C₂⁴	—	268	4	no	—
1999	C₂⁴	—	268	8	no	—
2000	C₂⁴	—	67	4	no	—
2001	C₂⁴	—	67	2	no	—
2002	C₂⁴	—	67	1	no	—
2003	C₂⁴	—	67	4	no	—
2004	C₂⁴	—	67	1	no	—
2005	C₂⁴	—	67	2	no	—
2006	C₂⁴	—	67	1	no	—
2007	C₂⁴	C₂³×D₆₇	1	2	yes	—
2008	#41	—	4	2	no	—
2009	#41	—	4	2	no	—
2010	#41	—	4	4	no	—
2011	#41	—	268	4	no	—
2012	#41	—	268	2	no	—
2013	#41	—	268	2	no	—
2014	#41	—	268	2	no	—
2015	#41	—	268	4	no	—
2016	#41	—	268	2	no	—
2017	#41	—	268	8	no	—
2018	#41	—	268	4	no	—
2019	#41	—	268	8	no	—
2020	#41	—	268	4	no	—
2021	#41	—	268	2	no	—
2022	#41	—	268	2	no	—
2023	#41	—	268	2	no	—
2024	#41	—	268	4	no	—
2025	#41	—	268	2	no	—
2026	#41	—	268	2	no	—
2027	#41	—	268	2	no	—
2028	C₂×Q₈	—	4	2	no	—
2029	C₂×Q₈	—	268	2	no	—
2030	C₂×Q₈	—	268	4	no	—
2031	C₂×Q₈	—	268	4	no	—
2032	C₂×Q₈	—	268	4	no	—
2033	C₂×Q₈	—	268	4	no	—
2034	C₂×Q₈	—	268	2	no	—
2035	C₂×Q₈	—	268	2	no	—
2036	C₂×Q₈	—	67	2	no	—
2037	C₂×Q₈	—	67	1	no	—
2038	C₂×Q₈	—	67	4	no	—
2039	C₂×Q₈	—	67	2	no	—
2040	C₂×Q₈	—	67	1	no	—
2041	C₂×Q₈	—	67	1	no	—
2042	C₂×Q₈	—	67	1	no	—
2043	C₂×Q₈	—	67	4	no	—
2044	C₂×Q₈	—	67	2	no	—
2045	C₂×Q₈	—	134	8	no	—
2046	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2047	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2048	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2049	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2050	C₂×D₄	—	4	2	no	—
2051	C₂×D₄	—	268	2	no	—
2052	C₂×D₄	—	268	4	no	—
2053	C₂×D₄	—	268	4	no	—
2054	C₂×D₄	—	268	4	no	—
2055	C₂×D₄	—	268	8	no	—
2056	C₂×D₄	—	268	2	no	—
2057	C₂×D₄	—	268	2	no	—
2058	C₂×D₄	—	268	2	no	—
2059	C₂×D₄	—	268	2	no	—
2060	C₂×D₄	—	268	8	no	—
2061	C₂×D₄	—	268	4	no	—
2062	C₂×D₄	—	268	8	no	—
2063	C₂×D₄	—	268	8	no	—
2064	C₂×D₄	—	268	4	no	—
2065	C₂×D₄	—	268	4	no	—
2066	C₂×D₄	—	268	4	no	—
2067	C₂×D₄	—	67	2	no	—
2068	C₂×D₄	—	67	2	no	—
2069	C₂×D₄	—	67	4	no	—
2070	C₂×D₄	—	67	4	no	—
2071	C₂×D₄	—	67	4	no	—
2072	C₂×D₄	—	67	4	no	—
2073	C₂×D₄	—	67	4	no	—
2074	C₂×D₄	—	67	4	no	—
2075	C₂×D₄	—	67	2	no	—
2076	C₂×D₄	—	67	2	no	—
2077	C₂×D₄	—	67	1	no	—
2078	C₂×D₄	—	67	1	no	—
2079	C₂×D₄	—	67	1	no	—
2080	C₂×D₄	—	67	1	no	—
2081	C₂×D₄	—	67	4	no	—
2082	C₂×D₄	—	67	4	no	—
2083	C₂×D₄	—	67	2	no	—
2084	C₂×D₄	—	67	2	no	—
2085	C₂×D₄	—	67	2	no	—
2086	C₂×D₄	—	67	4	no	—
2087	C₂×D₄	—	67	1	no	—
2088	C₂×D₄	—	67	1	no	—
2089	C₂×D₄	—	67	4	no	—
2090	C₂×D₄	—	67	2	no	—
2091	C₂×D₄	—	67	4	no	—
2092	C₂×D₄	—	67	4	no	—
2093	C₂×D₄	—	67	4	no	—
2094	C₂×D₄	—	67	2	no	—
2095	C₂×D₄	—	67	1	no	—
2096	C₂×D₄	—	67	1	no	—
2097	C₂×D₄	—	67	4	no	—
2098	C₂×D₄	—	67	2	no	—
2099	C₂×D₄	—	67	1	no	—
2100	C₂×D₄	—	67	2	no	—
2101	C₂×D₄	—	67	1	no	—
2102	C₂×D₄	—	67	2	no	—
2103	C₂×D₄	—	134	8	no	—
2104	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2105	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2106	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2107	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2108	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2109	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2110	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2111	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2112	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2113	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2114	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2115	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2116	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2117	C₂²×C₄	—	268	4	no	—
2118	C₂²×C₄	—	268	8	no	—
2119	C₂²×C₄	—	268	8	no	—
2120	C₂²×C₄	—	268	4	no	—
2121	C₂²×C₄	—	268	8	no	—
2122	C₂²×C₄	—	67	2	no	—
2123	C₂²×C₄	—	67	4	no	—
2124	C₂²×C₄	—	67	4	no	—
2125	C₂²×C₄	—	67	4	no	—
2126	C₂²×C₄	—	67	2	no	—
2127	C₂²×C₄	—	67	2	no	—
2128	C₂²×C₄	—	67	2	no	—
2129	C₂²×C₄	—	67	4	no	—
2130	C₂²×C₄	—	67	4	no	—
2131	C₂²×C₄	—	67	4	no	—
2132	C₂²×C₄	—	67	4	no	—
2133	C₂²×C₄	—	67	4	no	—
2134	C₂²×C₄	—	67	4	no	—
2135	C₂²×C₄	—	67	4	no	—
2136	C₂²×C₄	—	67	1	no	—
2137	C₂²×C₄	—	67	1	no	—
2138	C₂²×C₄	—	67	2	no	—
2139	C₂²×C₄	—	67	1	no	—
2140	C₂²×C₄	—	67	1	no	—
2141	C₂²×C₄	—	67	2	no	—
2142	C₂²×C₄	—	67	1	no	—
2143	C₂²×C₄	—	67	4	no	—
2144	C₂²×C₄	—	67	2	no	—
2145	C₂²×C₄	—	67	1	no	—
2146	C₂²×C₄	—	67	1	no	—
2147	C₂²×C₄	—	67	1	no	—
2148	C₂²×C₄	—	67	1	no	—
2149	C₂²×C₄	—	67	4	no	—
2150	C₂²×C₄	—	67	4	no	—
2151	C₂²×C₄	—	67	2	no	—
2152	C₂²×C₄	—	67	2	no	—
2153	C₂²×C₄	—	67	2	no	—
2154	C₂²×C₄	—	67	1	no	—
2155	C₂²×C₄	—	67	1	no	—
2156	C₂²×C₄	—	67	1	no	—
2157	C₂²×C₄	—	67	1	no	—
2158	C₂²×C₄	—	134	4	no	—
2159	C₂²×C₄	—	134	4	no	—
2160	C₂²×C₄	—	134	8	no	—
2161	C₂²×C₄	—	134	4	no	—
2162	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2163	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2164	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2165	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2166	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2167	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2168	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2169	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2170	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2171	C₄⋊C₄	—	67	4	no	—
2172	C₄⋊C₄	—	67	2	no	—
2173	C₄⋊C₄	—	67	4	no	—
2174	C₄⋊C₄	—	67	2	no	—
2175	C₄⋊C₄	—	67	4	no	—
2176	C₄⋊C₄	—	67	4	no	—
2177	C₄⋊C₄	—	67	4	no	—
2178	C₄⋊C₄	—	67	4	no	—
2179	C₄⋊C₄	—	67	4	no	—
2180	C₄⋊C₄	—	67	4	no	—
2181	C₄⋊C₄	—	67	4	no	—
2182	C₄⋊C₄	—	67	4	no	—
2183	C₄⋊C₄	—	67	4	no	—
2184	C₄⋊C₄	—	67	4	no	—
2185	C₄⋊C₄	—	67	4	no	—
2186	C₄⋊C₄	—	67	4	no	—
2187	C₄⋊C₄	—	67	4	no	—
2188	C₄⋊C₄	—	67	4	no	—
2189	C₄⋊C₄	—	67	4	no	—
2190	C₄⋊C₄	—	67	2	no	—
2191	C₄⋊C₄	—	67	2	no	—
2192	C₄⋊C₄	—	67	2	no	—
2193	C₄⋊C₄	—	67	2	no	—
2194	C₄⋊C₄	—	67	2	no	—
2195	C₄⋊C₄	—	67	2	no	—
2196	C₄⋊C₄	—	67	4	no	—
2197	C₄⋊C₄	—	67	4	no	—
2198	C₄⋊C₄	—	67	4	no	—
2199	C₄⋊C₄	—	67	4	no	—
2200	C₄⋊C₄	—	67	4	no	—
2201	C₄⋊C₄	—	67	4	no	—
2202	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2203	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2204	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2205	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2206	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2207	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2208	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2209	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2210	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2211	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2212	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2213	C₂²⋊C₄	—	67	2	no	—
2214	C₂²⋊C₄	—	67	4	no	—
2215	C₂²⋊C₄	—	67	4	no	—
2216	C₂²⋊C₄	—	67	4	no	—
2217	C₂²⋊C₄	—	67	2	no	—
2218	C₂²⋊C₄	—	67	2	no	—
2219	C₂²⋊C₄	—	67	4	no	—
2220	C₂²⋊C₄	—	67	4	no	—
2221	C₂²⋊C₄	—	67	2	no	—
2222	C₂²⋊C₄	—	67	2	no	—
2223	C₂²⋊C₄	—	67	2	no	—
2224	C₂²⋊C₄	—	67	4	no	—
2225	C₂²⋊C₄	—	67	4	no	—
2226	C₂²⋊C₄	—	67	4	no	—
2227	C₂²⋊C₄	—	67	4	no	—
2228	C₂²⋊C₄	—	67	2	no	—
2229	C₂²⋊C₄	—	67	2	no	—
2230	C₂²⋊C₄	—	67	4	no	—
2231	C₂²⋊C₄	—	67	4	no	—
2232	C₂²⋊C₄	—	67	4	no	—
2233	C₂²⋊C₄	—	67	4	no	—
2234	C₂²⋊C₄	—	67	4	no	—
2235	C₂²⋊C₄	—	67	4	no	—
2236	C₂²⋊C₄	—	67	2	no	—
2237	C₂²⋊C₄	—	67	2	no	—
2238	C₂²⋊C₄	—	67	4	no	—
2239	C₂²⋊C₄	—	67	4	no	—
2240	C₂²⋊C₄	—	67	4	no	—
2241	C₂²⋊C₄	—	67	4	no	—
2242	C₂²⋊C₄	—	67	4	no	—
2243	C₂²⋊C₄	—	67	4	no	—
2244	C₂²⋊C₄	—	67	2	no	—
2245	C₂²⋊C₄	—	67	2	no	—
2246	C₂²⋊C₄	—	67	2	no	—
2247	C₂²⋊C₄	—	67	2	no	—
2248	C₂²⋊C₄	—	67	4	no	—
2249	C₂²⋊C₄	—	67	4	no	—
2250	C₂²⋊C₄	—	67	4	no	—
2251	C₂²⋊C₄	—	67	4	no	—
2252	C₂²⋊C₄	—	67	4	no	—
2253	C₂²⋊C₄	—	67	4	no	—
2254	C₂²⋊C₄	—	67	4	no	—
2255	C₂²⋊C₄	—	67	4	no	—
2256	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2257	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2258	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2259	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2260	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2261	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2262	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2263	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2264	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2265	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2266	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2267	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2268	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2269	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2270	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2271	C₄²	—	67	1	no	—
2272	C₄²	—	67	2	no	—
2273	C₄²	—	67	2	no	—
2274	C₄²	—	67	2	no	—
2275	C₄²	—	67	2	no	—
2276	C₄²	—	67	1	no	—
2277	C₄²	—	67	2	no	—
2278	C₄²	—	67	2	no	—
2279	C₄²	—	67	4	no	—
2280	C₄²	—	67	4	no	—
2281	C₄²	—	67	4	no	—
2282	C₄²	—	67	4	no	—
2283	C₄²	—	67	4	no	—
2284	C₄²	—	67	2	no	—
2285	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2286	C₄²	C₂³×D₆₇	1	2	yes	—
2287	C₄²	C₂³×D₆₇	1	1	yes	characteristic
2288	C₄²	C₂³×D₆₇	1	2	yes	—
2289	C₄²	C₂³×D₆₇	1	4	yes	—
2290	C₄²	C₂³×D₆₇	1	2	yes	—
2291	C₂³	—	4	2	no	—
2292	C₂³	—	4	4	no	—
2293	C₂³	—	268	2	no	—
2294	C₂³	—	268	4	no	—
2295	C₂³	—	268	4	no	—
2296	C₂³	—	268	4	no	—
2297	C₂³	—	268	4	no	—
2298	C₂³	—	536	16	no	—
2299	C₂³	—	67	1	no	—
2300	C₂³	—	67	1	no	—
2301	C₂³	—	67	4	no	—
2302	C₂³	—	67	1	no	—
2303	C₂³	—	67	2	no	—
2304	C₂³	—	67	1	no	—
2305	C₂³	—	134	2	no	—
2306	C₂³	—	134	4	no	—
2307	C₂³	—	134	8	no	—
2308	C₂³	—	134	4	no	—
2309	C₂³	—	134	8	no	—
2310	C₂³	—	134	4	no	—
2311	C₂³	—	134	2	no	—
2312	C₂³	—	134	2	no	—
2313	C₂³	—	134	4	no	—
2314	C₂³	—	134	4	no	—
2315	C₂³	—	134	8	no	—
2316	C₂³	—	134	4	no	—
2317	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2318	C₂³	C₂⁴×D₆₇	1	4	yes	—
2319	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2320	C₂³	C₂⁴×D₆₇	1	2	yes	—
2321	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2322	Q₈	—	2	4	no	—
2323	Q₈	—	4	2	no	—
2324	Q₈	—	4	1	no	—
2325	Q₈	—	4	1	no	—
2326	Q₈	—	268	2	no	—
2327	Q₈	—	268	4	no	—
2328	Q₈	—	268	2	no	—
2329	Q₈	—	268	1	no	—
2330	Q₈	—	268	1	no	—
2331	Q₈	—	268	1	no	—
2332	Q₈	—	268	1	no	—
2333	Q₈	—	134	8	no	—
2334	Q₈	—	134	4	no	—
2335	D₄	—	2	4	no	—
2336	D₄	—	4	2	no	—
2337	D₄	—	4	2	no	—
2338	D₄	—	4	1	no	—
2339	D₄	—	4	1	no	—
2340	D₄	—	4	1	no	—
2341	D₄	—	4	1	no	—
2342	D₄	—	4	4	no	—
2343	D₄	—	4	4	no	—
2344	D₄	—	4	2	no	—
2345	D₄	—	4	4	no	—
2346	D₄	—	4	4	no	—
2347	D₄	—	4	2	no	—
2348	D₄	—	268	2	no	—
2349	D₄	—	268	2	no	—
2350	D₄	—	268	1	no	—
2351	D₄	—	268	1	no	—
2352	D₄	—	268	1	no	—
2353	D₄	—	268	1	no	—
2354	D₄	—	268	4	no	—
2355	D₄	—	268	4	no	—
2356	D₄	—	268	2	no	—
2357	D₄	—	268	4	no	—
2358	D₄	—	268	4	no	—
2359	D₄	—	268	2	no	—
2360	D₄	—	268	4	no	—
2361	D₄	—	268	2	no	—
2362	D₄	—	268	2	no	—
2363	D₄	—	268	4	no	—
2364	D₄	—	268	4	no	—
2365	D₄	—	268	1	no	—
2366	D₄	—	268	1	no	—
2367	D₄	—	268	1	no	—
2368	D₄	—	268	2	no	—
2369	D₄	—	268	1	no	—
2370	D₄	—	268	1	no	—
2371	D₄	—	268	1	no	—
2372	D₄	—	268	4	no	—
2373	D₄	—	268	4	no	—
2374	D₄	—	268	2	no	—
2375	D₄	—	268	4	no	—
2376	D₄	—	268	4	no	—
2377	D₄	—	268	4	no	—
2378	D₄	—	268	2	no	—
2379	D₄	—	268	2	no	—
2380	D₄	—	268	4	no	—
2381	D₄	—	268	2	no	—
2382	D₄	—	134	8	no	—
2383	D₄	—	134	4	no	—
2384	C₂×C₄	—	2	2	no	—
2385	C₂×C₄	—	2	2	no	—
2386	C₂×C₄	—	2	4	no	—
2387	C₂×C₄	—	2	2	no	—
2388	C₂×C₄	—	4	2	no	—
2389	C₂×C₄	—	4	4	no	—
2390	C₂×C₄	—	4	4	no	—
2391	C₂×C₄	—	4	2	no	—
2392	C₂×C₄	—	4	4	no	—
2393	C₂×C₄	—	268	4	no	—
2394	C₂×C₄	—	268	4	no	—
2395	C₂×C₄	—	268	4	no	—
2396	C₂×C₄	—	268	4	no	—
2397	C₂×C₄	—	268	2	no	—
2398	C₂×C₄	—	268	4	no	—
2399	C₂×C₄	—	268	4	no	—
2400	C₂×C₄	—	268	2	no	—
2401	C₂×C₄	—	268	4	no	—
2402	C₂×C₄	—	268	2	no	—
2403	C₂×C₄	—	268	4	no	—
2404	C₂×C₄	—	268	4	no	—
2405	C₂×C₄	—	268	2	no	—
2406	C₂×C₄	—	268	4	no	—
2407	C₂×C₄	—	67	1	no	—
2408	C₂×C₄	—	67	4	no	—
2409	C₂×C₄	—	67	2	no	—
2410	C₂×C₄	—	67	1	no	—
2411	C₂×C₄	—	67	2	no	—
2412	C₂×C₄	—	67	4	no	—
2413	C₂×C₄	—	67	1	no	—
2414	C₂×C₄	—	67	1	no	—
2415	C₂×C₄	—	67	4	no	—
2416	C₂×C₄	—	67	4	no	—
2417	C₂×C₄	—	67	2	no	—
2418	C₂×C₄	—	134	2	no	—
2419	C₂×C₄	—	134	2	no	—
2420	C₂×C₄	—	134	4	no	—
2421	C₂×C₄	—	134	2	no	—
2422	C₂×C₄	—	134	4	no	—
2423	C₂×C₄	—	134	4	no	—
2424	C₂×C₄	—	134	8	no	—
2425	C₂×C₄	—	134	8	no	—
2426	C₂×C₄	—	134	4	no	—
2427	C₂×C₄	—	134	8	no	—
2428	C₂×C₄	—	134	2	no	—
2429	C₂×C₄	—	134	2	no	—
2430	C₂×C₄	—	134	2	no	—
2431	C₂×C₄	—	134	2	no	—
2432	C₂×C₄	—	134	2	no	—
2433	C₂×C₄	—	134	4	no	—
2434	C₂×C₄	—	134	2	no	—
2435	C₂×C₄	—	134	2	no	—
2436	C₂×C₄	—	134	2	no	—
2437	C₂×C₄	—	134	4	no	—
2438	C₂×C₄	—	134	2	no	—
2439	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2440	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2441	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2442	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2443	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2444	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2445	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2446	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2447	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2448	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2449	C₂²	—	2	1	no	—
2450	C₂²	—	2	2	no	—
2451	C₂²	—	2	1	no	—
2452	C₂²	—	2	1	no	—
2453	C₂²	—	2	4	no	—
2454	C₂²	—	2	2	no	—
2455	C₂²	—	2	2	no	—
2456	C₂²	—	2	4	no	—
2457	C₂²	—	2	2	no	—
2458	C₂²	—	2	2	no	—
2459	C₂²	—	2	4	no	—
2460	C₂²	—	2	2	no	—
2461	C₂²	—	8	4	no	—
2462	C₂²	—	268	4	no	—
2463	C₂²	—	268	16	no	—
2464	C₂²	—	268	4	no	—
2465	C₂²	—	268	8	no	—
2466	C₂²	—	268	4	no	—
2467	C₂²	—	536	4	no	—
2468	C₂²	—	536	8	no	—
2469	C₂²	—	67	2	no	—
2470	C₂²	—	67	4	no	—
2471	C₂²	—	134	1	no	—
2472	C₂²	—	134	4	no	—
2473	C₂²	—	134	2	no	—
2474	C₂²	—	134	1	no	—
2475	C₂²	—	134	1	no	—
2476	C₂²	—	134	2	no	—
2477	C₂²	—	134	2	no	—
2478	C₂²	—	134	4	no	—
2479	C₂²	—	134	2	no	—
2480	C₂²	—	134	2	no	—
2481	C₂²	—	134	4	no	—
2482	C₂²	—	134	2	no	—
2483	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2484	C₄	—	2	2	no	—
2485	C₄	—	2	1	no	—
2486	C₄	—	2	1	no	—
2487	C₄	—	2	1	no	—
2488	C₄	—	2	4	no	—
2489	C₄	—	2	2	no	—
2490	C₄	—	2	4	no	—
2491	C₄	—	2	2	no	—
2492	C₄	—	2	4	no	—
2493	C₄	—	67	2	no	—
2494	C₄	—	134	2	no	—
2495	C₄	—	134	4	no	—
2496	C₄	—	134	1	no	—
2497	C₄	—	134	1	no	—
2498	C₄	—	134	1	no	—
2499	C₄	—	134	2	no	—
2500	C₄	—	134	4	no	—
2501	C₄	—	134	2	no	—
2502	C₄	—	134	4	no	—
2503	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2504	C₂	—	4	1	no	—
2505	C₂	—	4	4	no	—
2506	C₂	—	4	1	no	—
2507	C₂	—	4	2	no	—
2508	C₂	—	4	1	no	—
2509	C₂	—	268	1	no	—
2510	C₂	—	268	4	no	—
2511	C₂	—	268	1	no	—
2512	C₂	—	268	2	no	—
2513	C₂	—	268	1	no	—
2514	C₂	—	67	4	no	—
2515	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2516	C₂	#585×D₆₇	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3551	C₂
hypercenter	#3551	D₆₇
hypocenter	C₆₇	C₂×#3551
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3551

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #22574638	C₂	semidirect
2. #22574637	C₂	semidirect
3. #22574636	C₂	semidirect
4. #22574635	C₂	semidirect
5. #22574634	C₂	semidirect
6. #22574633	C₂	semidirect
7. #22574632	C₂	semidirect
8. #22574631	C₂	semidirect
9. #22574630	C₂	semidirect
10. #22574629	C₂	semidirect
11. #22574628	C₂	semidirect
12. #22574627	C₂	semidirect
13. #22574626	C₂	semidirect
14. #22574625	C₂	semidirect
15. #22574624	C₂	semidirect
16. #563×D₆₇	C₂	semidirect
17. #560×D₆₇	C₂	semidirect
18. #555×D₆₇	C₂	semidirect
19. #553×D₆₇	C₂	semidirect
20. #552×D₆₇	C₂	semidirect
21. #551×D₆₇	C₂	semidirect
22. #548×D₆₇	C₂	semidirect
23. #546×D₆₇	C₂	semidirect
24. #540×D₆₇	C₂	semidirect
25. #538×D₆₇	C₂	semidirect
26. #537×D₆₇	C₂	semidirect
27. #536×D₆₇	C₂	semidirect
28. #535×D₆₇	C₂	semidirect
29. #532×D₆₇	C₂	semidirect
30. #529×D₆₇	C₂	semidirect
31. C₆₇×#3551	C₂	semidirect
34. C₂×#41×D₆₇	C₂²	semidirect
35. C₂²×Q₈×D₆₇	C₂²	semidirect
37. #16864150	C₂²	semidirect
38. #16864149	C₂²	semidirect
39. #16864148	C₂²	semidirect
40. #16864148	C₂²	semidirect
41. #16864147	C₂²	semidirect
42. #16864147	C₂²	semidirect
43. #16864146	C₂²	semidirect
44. #16864145	C₂²	semidirect
45. #16864145	C₂²	semidirect
46. #16864137	C₂²	semidirect
47. #16864136	C₂²	semidirect
48. #16864136	C₂²	semidirect
49. #16864135	C₂²	semidirect
50. #16864135	C₂²	semidirect
51. #16864134	C₂²	semidirect
52. #16864134	C₂²	semidirect
53. #16864134	C₂²	semidirect
54. #16864133	C₂²	semidirect
55. #16864112	C₂²	semidirect
56. #16864111	C₂²	semidirect
57. #16864110	C₂²	semidirect
58. #16864110	C₂²	semidirect
59. #16864109	C₂²	semidirect
60. #16864109	C₂²	semidirect
61. #16864108	C₂²	semidirect
62. #16864108	C₂²	semidirect
63. #16864108	C₂²	semidirect
64. #16864099	C₂²	semidirect
65. #16864098	C₂²	semidirect
66. #16864097	C₂²	semidirect
67. #16864096	C₂²	semidirect
68. #16864095	C₂²	semidirect
69. #16864094	C₂²	semidirect
70. #16864093	C₂²	semidirect
71. #16864092	C₂²	semidirect
72. #16864091	C₂²	semidirect
73. #16864090	C₂²	semidirect
74. #16864089	C₂²	semidirect
75. #16864088	C₂²	semidirect
76. #16864087	C₂²	semidirect
77. #16864086	C₂²	semidirect
78. #16864085	C₂²	semidirect
79. #16864084	C₂²	semidirect
80. #16864083	C₂²	semidirect
81. #16864082	C₂²	semidirect
82. #16864081	C₂²	semidirect
83. #16864080	C₂²	semidirect
84. #16864079	C₂²	semidirect
85. #16864078	C₂²	semidirect
86. #16864077	C₂²	semidirect
87. #16864076	C₂²	semidirect
88. #16864075	C₂²	semidirect
89. #16864074	C₂²	semidirect
90. #16864073	C₂²	semidirect
91. #16864072	C₂²	semidirect
92. #16864071	C₂²	semidirect
93. #16864070	C₂²	semidirect
94. #16864069	C₂²	semidirect
95. #16864058	C₂²	semidirect
96. #16864057	C₂²	semidirect
97. #16864056	C₂²	semidirect
98. #16864056	C₂²	semidirect
99. #16864055	C₂²	semidirect
100. #16864055	C₂²	semidirect
101. #16864054	C₂²	semidirect
102. #16864054	C₂²	semidirect
103. #16864053	C₂²	semidirect
104. #16864052	C₂²	semidirect
105. #16864052	C₂²	semidirect
106. #16864043	C₂²	semidirect
107. #16864042	C₂²	semidirect
108. #16864041	C₂²	semidirect
109. #16864040	C₂²	semidirect
110. #16864039	C₂²	semidirect
111. #16864038	C₂²	semidirect
112. #16864037	C₂²	semidirect
113. #16864036	C₂²	semidirect
114. #16864035	C₂²	semidirect
115. #16864034	C₂²	semidirect
116. #16864033	C₂²	semidirect
117. #16864002	C₂²	semidirect
118. #16864001	C₂²	semidirect
119. #16864000	C₂²	semidirect
120. #16863999	C₂²	semidirect
121. #16863999	C₂²	semidirect
122. #16863998	C₂²	semidirect
123. #16863998	C₂²	semidirect
124. #16863998	C₂²	semidirect
125. #16863998	C₂²	semidirect
126. #16863997	C₂²	semidirect
127. #16863997	C₂²	semidirect
128. #16863996	C₂²	semidirect
129. #16863996	C₂²	semidirect
130. #16863996	C₂²	semidirect
131. #16863996	C₂²	semidirect
132. #16863986	C₂²	semidirect
133. #16863985	C₂²	semidirect
134. #16863985	C₂²	semidirect
135. #16863984	C₂²	semidirect
136. #16863983	C₂²	semidirect
137. #16863982	C₂²	semidirect
138. #16863982	C₂²	semidirect
139. #16863981	C₂²	semidirect
140. #16863981	C₂²	semidirect
141. #16863980	C₂²	semidirect
142. #16863980	C₂²	semidirect
143. #16863979	C₂²	semidirect
144. #16863979	C₂²	semidirect
145. #16863978	C₂²	semidirect
146. #16863978	C₂²	semidirect
147. #16863977	C₂²	semidirect
148. #16863976	C₂²	semidirect
149. #16863976	C₂²	semidirect
150. #16863976	C₂²	semidirect
151. #16863975	C₂²	semidirect
152. #16863975	C₂²	semidirect
153. #16863975	C₂²	semidirect
154. #16863974	C₂²	semidirect
155. #16863974	C₂²	semidirect
156. #16863973	C₂²	semidirect
157. #16863973	C₂²	semidirect
158. #16863972	C₂²	semidirect
159. #16863971	C₂²	semidirect
160. #16863970	C₂²	semidirect
161. #16863969	C₂²	semidirect
162. #16863969	C₂²	semidirect
163. #16863968	C₂²	semidirect
164. #16863968	C₂²	semidirect
165. #16863967	C₂²	semidirect
166. #16863966	C₂²	semidirect
167. #16863965	C₂²	semidirect
168. #16863964	C₂²	semidirect
169. #16863963	C₂²	semidirect
170. #16863962	C₂²	semidirect
171. #16863962	C₂²	semidirect
172. #16863961	C₂²	semidirect
173. #16863961	C₂²	semidirect
174. #16863960	C₂²	semidirect
175. #16863959	C₂²	semidirect
176. #16863947	C₂²	semidirect
177. #16863946	C₂²	semidirect
178. #16863945	C₂²	semidirect
179. #16863945	C₂²	semidirect
180. #16863944	C₂²	semidirect
181. #16863943	C₂²	semidirect
182. #16863943	C₂²	semidirect
183. #16863942	C₂²	semidirect
184. #16863942	C₂²	semidirect
185. #16863941	C₂²	semidirect
186. #16863941	C₂²	semidirect
187. C₄⋊Q₈×D₆₇	C₂²	semidirect
188. C₄⋊Q₈×D₆₇	C₂²	semidirect
191. #16863933	C₂²	semidirect
192. #16863932	C₂²	semidirect
193. #16863931	C₂²	semidirect
194. #16863930	C₂²	semidirect
195. #16863929	C₂²	semidirect
196. #16863928	C₂²	semidirect
197. #16863927	C₂²	semidirect
198. #16863926	C₂²	semidirect
199. #16863925	C₂²	semidirect
200. #16863924	C₂²	semidirect
201. #16863923	C₂²	semidirect
203. #126×D₆₇	C₂²	semidirect
204. #126×D₆₇	C₂²	semidirect
205. #125×D₆₇	C₂²	semidirect
206. #125×D₆₇	C₂²	semidirect
211. #124×D₆₇	C₂²	semidirect
212. #124×D₆₇	C₂²	semidirect
216. #123×D₆₇	C₂²	semidirect
217. #123×D₆₇	C₂²	semidirect
218. #123×D₆₇	C₂²	semidirect
220. C₂²⋊Q₈×D₆₇	C₂²	semidirect
221. C₂²⋊Q₈×D₆₇	C₂²	semidirect
222. C₂²⋊Q₈×D₆₇	C₂²	semidirect
223. C₂²⋊Q₈×D₆₇	C₂²	semidirect
229. #121×D₆₇	C₂²	semidirect
230. #121×D₆₇	C₂²	semidirect
231. #121×D₆₇	C₂²	semidirect
232. #121×D₆₇	C₂²	semidirect
233. #121×D₆₇	C₂²	semidirect
234. #121×D₆₇	C₂²	semidirect
238. C₄×Q₈×D₆₇	C₂²	semidirect
241. C₄×D₄×D₆₇	C₂²	semidirect
242. C₄×D₄×D₆₇	C₂²	semidirect
243. C₄×D₄×D₆₇	C₂²	semidirect
244. C₄×D₄×D₆₇	C₂²	semidirect
246. #117×D₆₇	C₂²	semidirect
247. #117×D₆₇	C₂²	semidirect
248. #117×D₆₇	C₂²	semidirect
249. C₂×C₄⋊C₄×D₆₇	C₂²	semidirect
251. C₂×C₄²×D₆₇	C₂²	semidirect
252. #563×C₆₇	C₂²	semidirect
253. #560×C₆₇	C₂²	semidirect
254. #555×C₆₇	C₂²	semidirect
255. #553×C₆₇	C₂²	semidirect
256. #552×C₆₇	C₂²	semidirect
257. #551×C₆₇	C₂²	semidirect
258. #548×C₆₇	C₂²	semidirect
259. #546×C₆₇	C₂²	semidirect
260. #540×C₆₇	C₂²	semidirect
261. #538×C₆₇	C₂²	semidirect
262. #537×C₆₇	C₂²	semidirect
263. #536×C₆₇	C₂²	semidirect
264. #535×C₆₇	C₂²	semidirect
265. #532×C₆₇	C₂²	semidirect
266. #529×C₆₇	C₂²	semidirect
270. C₂×#11761629	C₂³	semidirect
276. C₂×#11761628	C₂³	semidirect
277. C₂×#11761628	C₂³	semidirect
283. C₂×#11761627	C₂³	semidirect
284. C₂×#11761627	C₂³	semidirect
288. C₂²×Dic₁₃₄	C₂³	semidirect
289. C₂²×Dic₁₃₄	C₂³	semidirect
295. C₂×Q₈×D₆₇	C₂³	semidirect
296. C₂×Q₈×D₆₇	C₂³	semidirect
324. #14524043	C₂³	semidirect
325. #14524043	C₂³	semidirect
326. #14524042	C₂³	semidirect
327. #14524042	C₂³	semidirect
328. #14524042	C₂³	semidirect
329. #14524042	C₂³	semidirect
330. #14524041	C₂³	semidirect
331. #14524041	C₂³	semidirect
332. #14524041	C₂³	semidirect
333. #14524041	C₂³	semidirect
347. #14524038	C₂³	semidirect
348. #14524038	C₂³	semidirect
349. #14524038	C₂³	semidirect
350. #14524038	C₂³	semidirect
351. #14524038	C₂³	semidirect
352. #14524038	C₂³	semidirect
354. #14524037	C₂³	semidirect
355. #14524037	C₂³	semidirect
359. #14524036	C₂³	semidirect
360. #14524036	C₂³	semidirect
361. #14524036	C₂³	semidirect
362. #14524036	C₂³	semidirect
363. #14524036	C₂³	semidirect
364. #14524036	C₂³	semidirect
365. #14524035	C₂³	semidirect
366. #14524035	C₂³	semidirect
367. #14524034	C₂³	semidirect
368. #14524034	C₂³	semidirect
369. #14524034	C₂³	semidirect
370. #14524034	C₂³	semidirect
371. #14524033	C₂³	semidirect
372. #14524033	C₂³	semidirect
373. #14524033	C₂³	semidirect
374. #14524033	C₂³	semidirect
375. #14524033	C₂³	semidirect
376. #14524033	C₂³	semidirect
381. #14524032	C₂³	semidirect
382. #14524032	C₂³	semidirect
387. #14524031	C₂³	semidirect
388. #14524031	C₂³	semidirect
393. #14524030	C₂³	semidirect
394. #14524030	C₂³	semidirect
403. #14524029	C₂³	semidirect
404. #14524029	C₂³	semidirect
405. #14524029	C₂³	semidirect
406. #14524029	C₂³	semidirect
407. #14524029	C₂³	semidirect
408. #14524029	C₂³	semidirect
414. #14524028	C₂³	semidirect
415. #14524028	C₂³	semidirect
416. #14524028	C₂³	semidirect
417. #14524028	C₂³	semidirect
418. #14524028	C₂³	semidirect
422. #14524027	C₂³	semidirect
423. #14524027	C₂³	semidirect
424. #14524027	C₂³	semidirect
428. #14524026	C₂³	semidirect
429. #14524026	C₂³	semidirect
430. #14524026	C₂³	semidirect
436. #14524025	C₂³	semidirect
437. #14524025	C₂³	semidirect
438. #14524025	C₂³	semidirect
439. #14524025	C₂³	semidirect
440. #14524025	C₂³	semidirect
444. #14524024	C₂³	semidirect
445. #14524024	C₂³	semidirect
446. #14524024	C₂³	semidirect
448. #14524023	C₂³	semidirect
449. #14524023	C₂³	semidirect
450. #14524023	C₂³	semidirect
451. #14524023	C₂³	semidirect
453. #14524022	C₂³	semidirect
454. #14524022	C₂³	semidirect
455. #14524022	C₂³	semidirect
456. #14524022	C₂³	semidirect
458. #14524021	C₂³	semidirect
459. #14524021	C₂³	semidirect
460. #14524021	C₂³	semidirect
461. #14524021	C₂³	semidirect
462. #14524021	C₂³	semidirect
463. #14524021	C₂³	semidirect
465. #14524020	C₂³	semidirect
466. #14524020	C₂³	semidirect
467. #14524020	C₂³	semidirect
468. #14524020	C₂³	semidirect
469. #14524020	C₂³	semidirect
470. #14524020	C₂³	semidirect
472. #14524019	C₂³	semidirect
473. #14524019	C₂³	semidirect
474. #14524019	C₂³	semidirect
475. #14524019	C₂³	semidirect
481. #14524018	C₂³	semidirect
482. #14524018	C₂³	semidirect
483. #14524018	C₂³	semidirect
484. #14524018	C₂³	semidirect
485. #14524018	C₂³	semidirect
486. #14524018	C₂³	semidirect
492. #14524017	C₂³	semidirect
493. #14524017	C₂³	semidirect
494. #14524017	C₂³	semidirect
495. #14524017	C₂³	semidirect
496. #14524017	C₂³	semidirect
497. #14524017	C₂³	semidirect
505. #14524016	C₂³	semidirect
506. #14524016	C₂³	semidirect
507. #14524016	C₂³	semidirect
508. #14524016	C₂³	semidirect
509. #14524016	C₂³	semidirect
510. #14524016	C₂³	semidirect
511. #14524016	C₂³	semidirect
512. #14524016	C₂³	semidirect
513. #14524016	C₂³	semidirect
514. #14524016	C₂³	semidirect
515. #14524016	C₂³	semidirect
516. #14524016	C₂³	semidirect
524. #14524015	C₂³	semidirect
525. #14524015	C₂³	semidirect
526. #14524015	C₂³	semidirect
527. #14524015	C₂³	semidirect
528. #14524015	C₂³	semidirect
529. #14524015	C₂³	semidirect
530. #14524015	C₂³	semidirect
531. #14524015	C₂³	semidirect
532. #14524015	C₂³	semidirect
533. #14524015	C₂³	semidirect
534. #14524015	C₂³	semidirect
535. #14524015	C₂³	semidirect
541. #14524014	C₂³	semidirect
542. #14524014	C₂³	semidirect
543. #14524014	C₂³	semidirect
544. #14524014	C₂³	semidirect
545. #14524014	C₂³	semidirect
546. #14524014	C₂³	semidirect
564. Q₈×Dic₆₇	C₂³	semidirect
565. C₄×Dic₁₃₄	C₂³	semidirect
566. C₄×Dic₁₃₄	C₂³	semidirect
567. #14524008	C₂³	semidirect
568. #14524008	C₂³	semidirect
571. C₄×D₂₆₈	C₂³	semidirect
572. C₄×D₂₆₈	C₂³	semidirect
573. C₄×D₂₆₈	C₂³	semidirect
574. C₄×D₂₆₈	C₂³	semidirect
577. D₄×Dic₆₇	C₂³	semidirect
578. D₄×Dic₆₇	C₂³	semidirect
579. D₄×Dic₆₇	C₂³	semidirect
580. D₄×Dic₆₇	C₂³	semidirect
583. #14524005	C₂³	semidirect
584. #14524005	C₂³	semidirect
585. #14524005	C₂³	semidirect
586. #14524005	C₂³	semidirect
590. C₄×C₂²⋊D₆₇	C₂³	semidirect
591. C₄×C₂²⋊D₆₇	C₂³	semidirect
592. C₄×C₂²⋊D₆₇	C₂³	semidirect
593. C₄×C₂²⋊D₆₇	C₂³	semidirect
594. C₄×C₂²⋊D₆₇	C₂³	semidirect
595. C₄×C₂²⋊D₆₇	C₂³	semidirect
596. C₄×C₂²⋊D₆₇	C₂³	semidirect
597. C₄×C₂²⋊D₆₇	C₂³	semidirect
601. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
602. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
603. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
604. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
605. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
606. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
607. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
608. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
610. #14524002	C₂³	semidirect
611. #14524002	C₂³	semidirect
612. #14524002	C₂³	semidirect
614. #14524001	C₂³	semidirect
615. #14524001	C₂³	semidirect
616. #14524001	C₂³	semidirect
617. #14524001	C₂³	semidirect
618. #14524001	C₂³	semidirect
620. #14524000	C₂³	semidirect
621. #14524000	C₂³	semidirect
622. #14524000	C₂³	semidirect
623. #14524000	C₂³	semidirect
624. #14524000	C₂³	semidirect
626. #14523999	C₂³	semidirect
627. #14523999	C₂³	semidirect
628. #14523999	C₂³	semidirect
629. #14523999	C₂³	semidirect
630. #14523999	C₂³	semidirect
631. C₂×C₄⋊Dic₆₇	C₂³	semidirect
632. C₂×Dic₆₇⋊C₄	C₂³	semidirect
644. C₄⋊C₄×D₆₇	C₂³	semidirect
645. C₄⋊C₄×D₆₇	C₂³	semidirect
646. C₄⋊C₄×D₆₇	C₂³	semidirect
669. C₂×C₄×Dic₆₇	C₂³	semidirect
670. C₂×C₄×Dic₆₇	C₂³	semidirect
677. C₄²×D₆₇	C₂³	semidirect
678. C₄²×D₆₇	C₂³	semidirect
679. C₄²×D₆₇	C₂³	semidirect
682. C₂×#41×C₆₇	C₂³	semidirect
683. C₂²×Q₈×C₆₇	C₂³	semidirect
685. C₄⋊Q₈×C₆₇	C₂³	semidirect
686. C₄⋊Q₈×C₆₇	C₂³	semidirect
690. #126×C₆₇	C₂³	semidirect
691. #126×C₆₇	C₂³	semidirect
692. #125×C₆₇	C₂³	semidirect
693. #125×C₆₇	C₂³	semidirect
698. #124×C₆₇	C₂³	semidirect
699. #124×C₆₇	C₂³	semidirect
703. #123×C₆₇	C₂³	semidirect
704. #123×C₆₇	C₂³	semidirect
705. #123×C₆₇	C₂³	semidirect
707. C₂²⋊Q₈×C₆₇	C₂³	semidirect
708. C₂²⋊Q₈×C₆₇	C₂³	semidirect
709. C₂²⋊Q₈×C₆₇	C₂³	semidirect
710. C₂²⋊Q₈×C₆₇	C₂³	semidirect
716. #121×C₆₇	C₂³	semidirect
717. #121×C₆₇	C₂³	semidirect
718. #121×C₆₇	C₂³	semidirect
719. #121×C₆₇	C₂³	semidirect
720. #121×C₆₇	C₂³	semidirect
721. #121×C₆₇	C₂³	semidirect
725. C₄×Q₈×C₆₇	C₂³	semidirect
728. C₄×D₄×C₆₇	C₂³	semidirect
729. C₄×D₄×C₆₇	C₂³	semidirect
730. C₄×D₄×C₆₇	C₂³	semidirect
731. C₄×D₄×C₆₇	C₂³	semidirect
733. #117×C₆₇	C₂³	semidirect
734. #117×C₆₇	C₂³	semidirect
735. #117×C₆₇	C₂³	semidirect
736. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
738. C₂×C₄²×C₆₇	C₂³	semidirect
1258. D₆₇	#3551	direct (N × H)
1274. #3551	D₆₇	direct (N × H)
1290. C₆₇	C₂×#3551	semidirect
1305. #563	C₂×D₆₇	semidirect
1315. #560	C₂×D₆₇	semidirect
1325. #555	C₂×D₆₇	semidirect
1337. #553	C₂×D₆₇	semidirect
1349. #552	C₂×D₆₇	semidirect
1359. #551	C₂×D₆₇	semidirect
1371. #548	C₂×D₆₇	semidirect
1383. #546	C₂×D₆₇	semidirect
1399. #540	C₂×D₆₇	semidirect
1415. #538	C₂×D₆₇	semidirect
1427. #537	C₂×D₆₇	semidirect
1437. #536	C₂×D₆₇	semidirect
1447. #535	C₂×D₆₇	semidirect
1459. #532	C₂×D₆₇	semidirect
1475. #529	C₂×D₆₇	semidirect
1549. C₂×#41	C₂²×D₆₇	semidirect
1559. C₂²×Q₈	C₂²×D₆₇	semidirect
1598. C₄⋊Q₈	C₂²×D₆₇	semidirect
1599. C₄⋊Q₈	C₂²×D₆₇	semidirect
1634. #126	C₂²×D₆₇	semidirect
1635. #126	C₂²×D₆₇	semidirect
1648. #125	C₂²×D₆₇	semidirect
1649. #125	C₂²×D₆₇	semidirect
1686. #124	C₂²×D₆₇	semidirect
1687. #124	C₂²×D₆₇	semidirect
1729. #123	C₂²×D₆₇	semidirect
1730. #123	C₂²×D₆₇	semidirect
1731. #123	C₂²×D₆₇	semidirect
1762. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1763. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1764. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1765. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1842. #121	C₂²×D₆₇	semidirect
1843. #121	C₂²×D₆₇	semidirect
1844. #121	C₂²×D₆₇	semidirect
1845. #121	C₂²×D₆₇	semidirect
1846. #121	C₂²×D₆₇	semidirect
1847. #121	C₂²×D₆₇	semidirect
1873. C₄×Q₈	C₂²×D₆₇	semidirect
1916. C₄×D₄	C₂²×D₆₇	semidirect
1917. C₄×D₄	C₂²×D₆₇	semidirect
1918. C₄×D₄	C₂²×D₆₇	semidirect
1919. C₄×D₄	C₂²×D₆₇	semidirect
1943. #117	C₂²×D₆₇	semidirect
1944. #117	C₂²×D₆₇	semidirect
1945. #117	C₂²×D₆₇	semidirect
1962. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
1997. C₂×C₄²	C₂²×D₆₇	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#22574638	2
#22574637	2
#22574636	2
#22574635	2
#22574634	2
#22574633	2
#22574632	2
#22574631	2
#22574630	2
#22574629	2
#22574628	2
#22574627	2
#22574626	2
#22574625	2
#22574624	2
#563×D₆₇	2
#560×D₆₇	2
#555×D₆₇	2
#553×D₆₇	2
#552×D₆₇	2
#551×D₆₇	2
#548×D₆₇	2
#546×D₆₇	2
#540×D₆₇	2
#538×D₆₇	2
#537×D₆₇	2
#536×D₆₇	2
#535×D₆₇	2
#532×D₆₇	2
#529×D₆₇	2
C₆₇×#3551	2
C₂×#3551	67

Subgroups — #3551×D67 #31763287

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3551×D₆₇ #31763287