Subgroups — #31763143

Order 17152.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2568 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574526	C₂	1	2	yes	maximal, complemented
2	#22574511	C₂	1	2	yes	maximal, complemented
3	#22574503	C₂	1	2	yes	maximal, complemented
4	#22574488	C₂	1	2	yes	maximal, complemented
5	#22574481	C₂	1	2	yes	maximal, complemented
6	#22574462	C₂	1	2	yes	maximal, complemented
7	#22574454	C₂	1	1	yes	maximal, characteristic, complemented
8	#22574444	C₂	1	1	yes	maximal, characteristic, complemented
9	#22574436	C₂	1	1	yes	maximal, characteristic, complemented
10	#22574423	C₂	1	2	yes	maximal, complemented
11	#22574415	C₂	1	2	yes	maximal, complemented
12	#22574400	C₂	1	2	yes	maximal, complemented
13	#22574388	C₂	1	2	yes	maximal, complemented
14	#22574371	C₂	1	4	yes	maximal, complemented
15	#22574358	C₂	1	4	yes	maximal, complemented
16	#22574346	C₂	1	4	yes	maximal, complemented
17	#22573814	C₂	1	4	yes	maximal, complemented
18	#22573775	C₂	1	2	yes	maximal, complemented
19	#22573772	C₂	1	2	yes	maximal, complemented
20	#22573698	C₂	1	2	yes	maximal, complemented
21	#22573693	C₂	1	2	yes	maximal, complemented
22	#22573628	C₂	1	2	yes	maximal, complemented
23	#22573626	C₂	1	2	yes	maximal, complemented
24	#22573621	C₂	1	2	yes	maximal, complemented
25	#22573617	C₂	1	2	yes	maximal, complemented
26	#22573596	C₂	1	2	yes	maximal, complemented
27	#22573537	C₂	1	2	yes	maximal, complemented
28	C₂×#16863909	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863906	C₂	1	1	yes	maximal, characteristic, complemented
30	#525×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#3536	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11761629	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#11761627	C₂²	1	1	yes	characteristic, complemented
34	C₂×#41×D₆₇	C₂²	1	1	yes	characteristic, complemented
35	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
36	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
37	#16864150	C₂²	1	4	yes	complemented
38	#16864147	C₂²	1	4	yes	complemented
39	#16864147	C₂²	1	4	yes	complemented
40	#16864143	C₂²	1	4	yes	complemented
41	#16864143	C₂²	1	4	yes	complemented
42	#16864142	C₂²	1	4	yes	complemented
43	#16864142	C₂²	1	4	yes	complemented
44	#16864140	C₂²	1	4	yes	complemented
45	#16864138	C₂²	1	4	yes	complemented
46	#16864136	C₂²	1	4	yes	complemented
47	#16864136	C₂²	1	4	yes	complemented
48	#16864134	C₂²	1	4	yes	complemented
49	#16864134	C₂²	1	4	yes	complemented
50	#16864134	C₂²	1	4	yes	complemented
51	#16864134	C₂²	1	4	yes	complemented
52	#16864128	C₂²	1	4	yes	complemented
53	#16864120	C₂²	1	2	yes	complemented
54	#16864119	C₂²	1	2	yes	complemented
55	#16864112	C₂²	1	2	yes	complemented
56	#16864111	C₂²	1	2	yes	complemented
57	#16864105	C₂²	1	4	yes	complemented
58	#16864104	C₂²	1	4	yes	complemented
59	#16864103	C₂²	1	2	yes	complemented
60	#16864098	C₂²	1	2	yes	complemented
61	#16864098	C₂²	1	2	yes	complemented
62	#16864094	C₂²	1	2	yes	complemented
63	#16864094	C₂²	1	2	yes	complemented
64	#16864093	C₂²	1	4	yes	complemented
65	#16864092	C₂²	1	4	yes	complemented
66	#16864089	C₂²	1	4	yes	complemented
67	#16864089	C₂²	1	4	yes	complemented
68	#16864088	C₂²	1	2	yes	complemented
69	#16864088	C₂²	1	2	yes	complemented
70	#16864084	C₂²	1	4	yes	complemented
71	#16864081	C₂²	1	2	yes	complemented
72	#16864081	C₂²	1	2	yes	complemented
73	#16864080	C₂²	1	4	yes	complemented
74	#16864073	C₂²	1	4	yes	complemented
75	#16864073	C₂²	1	4	yes	complemented
76	#16864072	C₂²	1	4	yes	complemented
77	#16864072	C₂²	1	4	yes	complemented
78	#16864069	C₂²	1	4	yes	complemented
79	#16864069	C₂²	1	4	yes	complemented
80	#16864069	C₂²	1	4	yes	complemented
81	#16864069	C₂²	1	4	yes	complemented
82	#16864065	C₂²	1	2	yes	complemented
83	#16864064	C₂²	1	2	yes	complemented
84	Q₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
85	#16864059	C₂²	1	2	yes	complemented
86	#16864058	C₂²	1	2	yes	complemented
87	#16864055	C₂²	1	2	yes	complemented
88	#16864054	C₂²	1	2	yes	complemented
89	#16864050	C₂²	1	2	yes	complemented
90	#16864048	C₂²	1	4	yes	complemented
91	#16864048	C₂²	1	2	yes	complemented
92	#16864045	C₂²	1	2	yes	complemented
93	#16864044	C₂²	1	4	yes	complemented
94	#16864042	C₂²	1	4	yes	complemented
95	#16864042	C₂²	1	2	yes	complemented
96	#16864041	C₂²	1	4	yes	complemented
97	#16864041	C₂²	1	2	yes	complemented
98	#16864039	C₂²	1	4	yes	complemented
99	#16864039	C₂²	1	2	yes	complemented
100	#16864036	C₂²	1	4	yes	complemented
101	#16864035	C₂²	1	4	yes	complemented
102	#16864034	C₂²	1	4	yes	complemented
103	#16864034	C₂²	1	4	yes	complemented
104	#16864033	C₂²	1	4	yes	complemented
105	#16864033	C₂²	1	4	yes	complemented
106	#16864030	C₂²	1	4	yes	complemented
107	#16864030	C₂²	1	2	yes	complemented
108	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
109	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
110	#16864028	C₂²	1	4	yes	complemented
111	#16864027	C₂²	1	2	yes	complemented
112	#16864025	C₂²	1	2	yes	complemented
113	#16864021	C₂²	1	2	yes	complemented
114	#16864020	C₂²	1	2	yes	complemented
115	#16864019	C₂²	1	4	yes	complemented
116	#16864019	C₂²	1	4	yes	complemented
117	#16864017	C₂²	1	2	yes	complemented
118	#16864015	C₂²	1	2	yes	complemented
119	#16864012	C₂²	1	4	yes	complemented
120	#16864010	C₂²	1	4	yes	complemented
121	#16864006	C₂²	1	2	yes	complemented
122	#16864004	C₂²	1	2	yes	complemented
123	#16863999	C₂²	1	2	yes	complemented
124	#16863999	C₂²	1	4	yes	complemented
125	#16863999	C₂²	1	4	yes	complemented
126	#16863998	C₂²	1	4	yes	complemented
127	#16863997	C₂²	1	2	yes	complemented
128	#16863996	C₂²	1	4	yes	complemented
129	#16863995	C₂²	1	2	yes	complemented
130	#16863995	C₂²	1	2	yes	complemented
131	#16863995	C₂²	1	4	yes	complemented
132	#16863995	C₂²	1	4	yes	complemented
133	#16863994	C₂²	1	4	yes	complemented
134	#16863993	C₂²	1	2	yes	complemented
135	#16863992	C₂²	1	4	yes	complemented
136	#16863992	C₂²	1	4	yes	complemented
137	#16863987	C₂²	1	4	yes	complemented
138	#16863986	C₂²	1	4	yes	complemented
139	#16863986	C₂²	1	4	yes	complemented
140	#16863986	C₂²	1	4	yes	complemented
141	#16863985	C₂²	1	4	yes	complemented
142	#16863984	C₂²	1	2	yes	complemented
143	#16863983	C₂²	1	4	yes	complemented
144	#16863983	C₂²	1	2	yes	complemented
145	#16863983	C₂²	1	2	yes	complemented
146	#16863982	C₂²	1	4	yes	complemented
147	#16863982	C₂²	1	4	yes	complemented
148	#16863980	C₂²	1	4	yes	complemented
149	#16863979	C₂²	1	4	yes	complemented
150	#16863979	C₂²	1	4	yes	complemented
151	#16863977	C₂²	1	2	yes	complemented
152	#16863974	C₂²	1	2	yes	complemented
153	#16863974	C₂²	1	2	yes	complemented
154	#16863973	C₂²	1	2	yes	complemented
155	#16863969	C₂²	1	2	yes	complemented
156	#16863969	C₂²	1	4	yes	complemented
157	#16863969	C₂²	1	2	yes	complemented
158	#16863962	C₂²	1	4	yes	complemented
159	#16863962	C₂²	1	2	yes	complemented
160	#16863962	C₂²	1	2	yes	complemented
161	#16863961	C₂²	1	4	yes	complemented
162	#16863960	C₂²	1	4	yes	complemented
163	#16863958	C₂²	1	4	yes	complemented
164	#16863958	C₂²	1	2	yes	complemented
165	#16863957	C₂²	1	4	yes	complemented
166	#16863954	C₂²	1	4	yes	complemented
167	#16863954	C₂²	1	2	yes	complemented
168	#16863954	C₂²	1	4	yes	complemented
169	#16863951	C₂²	1	2	yes	complemented
170	#16863945	C₂²	1	2	yes	complemented
171	#16863945	C₂²	1	4	yes	complemented
172	#16863941	C₂²	1	4	yes	complemented
173	#16863941	C₂²	1	4	yes	complemented
174	#16863941	C₂²	1	4	yes	complemented
175	#16863932	C₂²	1	4	yes	complemented
176	#16863932	C₂²	1	4	yes	complemented
177	#16863932	C₂²	1	4	yes	complemented
178	#16863932	C₂²	1	4	yes	complemented
179	#16863931	C₂²	1	4	yes	complemented
180	#16863929	C₂²	1	4	yes	complemented
181	#16863925	C₂²	1	4	yes	complemented
182	#16863923	C₂²	1	4	yes	complemented
183	#16863923	C₂²	1	4	yes	complemented
184	#16863923	C₂²	1	4	yes	complemented
185	#16863909	C₂²	1	2	yes	complemented
186	#16863909	C₂²	1	2	yes	complemented
187	#16863909	C₂²	1	2	yes	complemented
188	#16863909	C₂²	1	1	yes	characteristic, complemented
189	#16863909	C₂²	1	1	yes	characteristic, complemented
190	#16863909	C₂²	1	2	yes	complemented
191	#16863909	C₂²	1	2	yes	complemented
192	#16863909	C₂²	1	2	yes	complemented
193	#16863909	C₂²	1	2	yes	complemented
194	#16863909	C₂²	1	2	yes	complemented
195	#16863909	C₂²	1	2	yes	complemented
196	#16863909	C₂²	1	4	yes	complemented
197	#16863909	C₂²	1	4	yes	complemented
198	#16863908	C₂²	1	1	yes	characteristic, complemented
199	#16863907	C₂²	1	1	yes	characteristic
200	#16863906	C₂²	1	2	yes	complemented
201	#16863906	C₂²	1	2	yes	complemented
202	#16863906	C₂²	1	2	yes	complemented
203	#16863906	C₂²	1	2	yes	complemented
204	#16863906	C₂²	1	2	yes	complemented
205	#16863906	C₂²	1	1	yes	characteristic, complemented
206	#16863906	C₂²	1	1	yes	characteristic, complemented
207	#16863906	C₂²	1	2	yes	complemented
208	#16863906	C₂²	1	2	yes	complemented
209	#16863906	C₂²	1	2	yes	complemented
210	#16863906	C₂²	1	4	yes	complemented
211	#16863906	C₂²	1	4	yes	complemented
212	#16863906	C₂²	1	2	yes	complemented
213	#16863905	C₂²	1	2	yes	complemented
214	#16863905	C₂²	1	2	yes	complemented
215	#16863904	C₂²	1	2	yes	complemented
216	#16863904	C₂²	1	4	yes	complemented
217	#16863903	C₂²	1	1	yes	characteristic, complemented
218	#16863902	C₂²	1	2	yes	complemented
219	#16863902	C₂²	1	4	yes	complemented
220	C₂×#14524028	C₂²	1	2	yes	complemented
221	C₂×#14524025	C₂²	1	2	yes	complemented
222	#123×D₆₇	C₂²	1	2	yes	complemented
223	C₂×#14524023	C₂²	1	1	yes	characteristic, complemented
224	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
225	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
226	C₂²⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
227	C₂²⋊Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
228	C₂×#14524018	C₂²	1	1	yes	characteristic, complemented
229	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
230	C₂×#14524014	C₂²	1	1	yes	characteristic, complemented
231	#121×D₆₇	C₂²	1	1	yes	characteristic, complemented
232	#121×D₆₇	C₂²	1	1	yes	characteristic, complemented
233	C₂×#14524013	C₂²	1	2	yes	complemented
234	C₂×#14524011	C₂²	1	2	yes	complemented
235	#120×D₆₇	C₂²	1	2	yes	complemented
236	#41×Dic₆₇	C₂²	1	4	yes	complemented
237	C₄×#11761629	C₂²	1	2	yes	complemented
238	C₄×#11761627	C₂²	1	4	yes	complemented
239	C₄×#11761627	C₂²	1	2	yes	complemented
240	C₂×D₄×Dic₆₇	C₂²	1	2	yes	complemented
241	C₂×#14524005	C₂²	1	2	yes	complemented
242	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
243	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
244	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	4	yes	complemented
245	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
246	C₄×D₄×D₆₇	C₂²	1	2	yes	complemented
247	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
248	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
249	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
250	C₂×#14524001	C₂²	1	2	yes	complemented
251	#117×D₆₇	C₂²	1	1	yes	characteristic, complemented
252	#562×C₆₇	C₂²	1	4	yes	complemented
253	#554×C₆₇	C₂²	1	2	yes	complemented
254	#548×C₆₇	C₂²	1	2	yes	complemented
255	#547×C₆₇	C₂²	1	2	yes	complemented
256	#546×C₆₇	C₂²	1	4	yes	complemented
257	#546×C₆₇	C₂²	1	2	yes	complemented
258	#543×C₆₇	C₂²	1	2	yes	complemented
259	#542×C₆₇	C₂²	1	2	yes	complemented
260	#539×C₆₇	C₂²	1	2	yes	complemented
261	#538×C₆₇	C₂²	1	2	yes	complemented
262	#537×C₆₇	C₂²	1	2	yes	complemented
263	#537×C₆₇	C₂²	1	2	yes	complemented
264	#525×C₆₇	C₂²	1	1	yes	characteristic, complemented
265	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
266	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
268	C₂×#11761629	—	4	4	no	—
269	C₂×#11761629	C₂³	1	2	yes	—
270	C₂×#11761629	C₂³	1	2	yes	—
271	C₂×#11761629	C₂³	1	2	yes	—
272	C₂×#11761629	C₂³	1	1	yes	characteristic
273	C₂×#11761629	C₂³	1	2	yes	—
274	C₂×#11761628	C₂³	1	4	yes	—
275	C₂×#11761628	C₂³	1	2	yes	—
276	C₂×#11761628	C₂³	1	1	yes	characteristic
277	C₂×#11761628	C₂³	1	2	yes	complemented
278	C₂×#11761627	—	4	4	no	—
279	C₂×#11761627	C₂³	1	2	yes	—
280	C₂×#11761627	C₂³	1	4	yes	—
281	C₂×#11761627	C₂³	1	2	yes	—
282	C₂×#11761627	C₂³	1	2	yes	—
283	C₂×#11761627	C₂³	1	2	yes	—
284	C₂×#11761627	C₂³	1	2	yes	—
285	C₂×#11761627	C₂³	1	1	yes	characteristic
286	C₂×#11761627	C₂³	1	4	yes	complemented
287	#41×D₆₇	—	4	4	no	—
288	#41×D₆₇	—	4	8	no	—
289	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
290	C₂×Q₈×D₆₇	C₂³	1	1	yes	characteristic
291	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
292	C₂²×D₂₆₈	C₂³	1	2	yes	—
293	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
294	C₂²×D₂₆₈	C₂³	1	2	yes	—
295	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
296	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
297	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
298	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
299	C₂×D₄×D₆₇	C₂³	1	2	yes	—
300	C₂×D₄×D₆₇	C₂³	1	4	yes	—
301	C₂×D₄×D₆₇	C₂³	1	4	yes	—
302	C₂×D₄×D₆₇	C₂³	1	2	yes	—
303	C₂×D₄×D₆₇	C₂³	1	2	yes	—
304	C₂×D₄×D₆₇	C₂³	1	1	yes	characteristic
305	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
306	C₂³×Dic₆₇	C₂³	1	2	yes	—
307	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
308	C₂²×C₄×D₆₇	—	4	4	no	—
309	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
310	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
311	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
312	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
313	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
314	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
315	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
316	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
317	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
318	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
319	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
320	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
321	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
322	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
324	#14524043	C₂³	1	2	yes	complemented
325	#14524042	C₂³	1	4	yes	complemented
326	#14524042	C₂³	1	4	yes	complemented
327	#14524042	C₂³	1	4	yes	complemented
328	#14524041	C₂³	1	2	yes	complemented
329	#14524041	C₂³	1	4	yes	complemented
330	#14524039	C₂³	1	4	yes	—
331	#14524039	C₂³	1	4	yes	—
332	#14524039	C₂³	1	4	yes	—
333	#14524039	C₂³	1	4	yes	—
334	#14524039	C₂³	1	2	yes	complemented
335	#14524038	C₂³	1	4	yes	—
336	#14524038	C₂³	1	4	yes	—
337	#14524038	C₂³	1	4	yes	—
338	#14524038	C₂³	1	4	yes	—
339	#14524038	C₂³	1	4	yes	—
340	#14524038	C₂³	1	4	yes	complemented
341	#14524038	C₂³	1	4	yes	complemented
342	#14524038	C₂³	1	4	yes	complemented
343	#14524038	C₂³	1	4	yes	complemented
344	#14524038	C₂³	1	4	yes	complemented
345	#14524038	C₂³	1	4	yes	complemented
346	#14524038	C₂³	1	4	yes	complemented
347	#14524038	C₂³	1	4	yes	complemented
348	#14524037	C₂³	1	4	yes	—
349	#14524036	C₂³	1	4	yes	—
350	#14524036	C₂³	1	4	yes	—
351	#14524036	C₂³	1	4	yes	complemented
352	#14524036	C₂³	1	4	yes	complemented
353	#14524036	C₂³	1	4	yes	complemented
354	#14524035	C₂³	1	4	yes	complemented
355	#14524034	C₂³	1	2	yes	complemented
356	#14524034	C₂³	1	4	yes	complemented
357	#14524034	C₂³	1	2	yes	complemented
358	#14524034	C₂³	1	4	yes	complemented
359	#14524034	C₂³	1	4	yes	complemented
360	#14524034	C₂³	1	4	yes	complemented
361	#14524033	C₂³	1	4	yes	complemented
362	#14524033	C₂³	1	4	yes	complemented
363	#14524033	C₂³	1	4	yes	complemented
364	#14524033	C₂³	1	4	yes	complemented
365	#14524032	C₂³	1	4	yes	—
366	#14524032	C₂³	1	4	yes	—
367	#14524032	C₂³	1	4	yes	—
368	#14524032	C₂³	1	4	yes	complemented
369	#14524031	C₂³	1	4	yes	—
370	#14524031	C₂³	1	4	yes	—
371	#14524031	C₂³	1	2	yes	complemented
372	#14524029	C₂³	1	4	yes	—
373	#14524029	C₂³	1	4	yes	—
374	#14524029	C₂³	1	4	yes	—
375	#14524029	C₂³	1	4	yes	—
376	#14524029	C₂³	1	4	yes	—
377	#14524029	C₂³	1	4	yes	—
378	#14524029	C₂³	1	4	yes	complemented
379	#14524029	C₂³	1	4	yes	complemented
380	#14524029	C₂³	1	4	yes	complemented
381	#14524029	C₂³	1	4	yes	complemented
382	#14524028	C₂³	1	4	yes	—
383	#14524028	C₂³	1	4	yes	—
384	#14524028	C₂³	1	4	yes	—
385	#14524028	C₂³	1	4	yes	—
386	#14524028	C₂³	1	4	yes	—
387	#14524028	C₂³	1	4	yes	—
388	#14524028	C₂³	1	4	yes	—
389	#14524028	C₂³	1	2	yes	—
390	#14524028	C₂³	1	2	yes	—
391	#14524028	C₂³	1	4	yes	—
392	#14524028	C₂³	1	4	yes	—
393	#14524028	C₂³	1	4	yes	complemented
394	#14524028	C₂³	1	4	yes	complemented
395	#14524028	C₂³	1	4	yes	complemented
396	#14524027	C₂³	1	4	yes	—
397	#14524027	C₂³	1	4	yes	—
398	#14524027	C₂³	1	4	yes	—
399	#14524027	C₂³	1	4	yes	—
400	#14524027	C₂³	1	2	yes	—
401	#14524027	C₂³	1	4	yes	—
402	#14524027	C₂³	1	4	yes	complemented
403	#14524027	C₂³	1	4	yes	complemented
404	#14524027	C₂³	1	4	yes	complemented
405	#14524027	C₂³	1	4	yes	complemented
406	#14524026	C₂³	1	4	yes	—
407	#14524026	C₂³	1	4	yes	—
408	#14524026	C₂³	1	4	yes	—
409	#14524026	C₂³	1	2	yes	—
410	#14524026	C₂³	1	4	yes	complemented
411	#14524025	C₂³	1	2	yes	—
412	#14524025	C₂³	1	4	yes	—
413	#14524025	C₂³	1	2	yes	—
414	#14524025	C₂³	1	4	yes	—
415	#14524025	C₂³	1	4	yes	—
416	#14524025	C₂³	1	4	yes	—
417	#14524025	C₂³	1	4	yes	—
418	#14524025	C₂³	1	4	yes	—
419	#14524025	C₂³	1	4	yes	—
420	#14524025	C₂³	1	4	yes	complemented
421	#14524025	C₂³	1	4	yes	complemented
422	#14524025	C₂³	1	4	yes	complemented
423	#14524025	C₂³	1	4	yes	complemented
424	#14524025	C₂³	1	4	yes	complemented
425	#14524024	C₂³	1	2	yes	—
426	#14524024	C₂³	1	4	yes	complemented
427	#14524023	C₂³	1	2	yes	—
428	#14524023	C₂³	1	1	yes	characteristic
429	#14524023	C₂³	1	1	yes	characteristic
430	#14524023	C₂³	1	2	yes	—
431	#14524023	C₂³	1	4	yes	—
432	#14524023	C₂³	1	2	yes	—
433	#14524023	C₂³	1	2	yes	—
434	#14524023	C₂³	1	4	yes	complemented
435	#14524023	C₂³	1	4	yes	complemented
436	#14524023	C₂³	1	2	yes	complemented
437	#14524023	C₂³	1	4	yes	complemented
438	#14524022	C₂³	1	2	yes	—
439	#14524022	C₂³	1	2	yes	—
440	#14524022	C₂³	1	1	yes	characteristic
441	#14524022	C₂³	1	1	yes	characteristic
442	#14524022	C₂³	1	4	yes	—
443	#14524022	C₂³	1	2	yes	—
444	#14524022	C₂³	1	2	yes	—
445	#14524022	C₂³	1	2	yes	complemented
446	#14524022	C₂³	1	4	yes	complemented
447	#14524021	C₂³	1	2	yes	—
448	#14524021	C₂³	1	2	yes	—
449	#14524021	C₂³	1	4	yes	complemented
450	#14524021	C₂³	1	4	yes	complemented
451	#14524021	C₂³	1	4	yes	complemented
452	#14524020	C₂³	1	4	yes	—
453	#14524020	C₂³	1	4	yes	—
454	#14524020	C₂³	1	2	yes	—
455	#14524020	C₂³	1	2	yes	—
456	#14524020	C₂³	1	4	yes	complemented
457	#14524020	C₂³	1	4	yes	complemented
458	#14524020	C₂³	1	4	yes	complemented
459	#14524019	C₂³	1	2	yes	—
460	#14524019	C₂³	1	2	yes	—
461	#14524019	C₂³	1	4	yes	—
462	#14524019	C₂³	1	2	yes	—
463	#14524019	C₂³	1	2	yes	—
464	#14524019	C₂³	1	1	yes	characteristic
465	#14524019	C₂³	1	1	yes	characteristic
466	#14524019	C₂³	1	4	yes	complemented
467	#14524019	C₂³	1	4	yes	complemented
468	#14524019	C₂³	1	2	yes	complemented
469	#14524019	C₂³	1	4	yes	complemented
470	#14524018	C₂³	1	2	yes	—
471	#14524018	C₂³	1	4	yes	—
472	#14524018	C₂³	1	2	yes	—
473	#14524018	C₂³	1	4	yes	—
474	#14524018	C₂³	1	2	yes	—
475	#14524018	C₂³	1	1	yes	characteristic
476	#14524018	C₂³	1	1	yes	characteristic
477	#14524018	C₂³	1	2	yes	—
478	#14524018	C₂³	1	4	yes	—
479	#14524018	C₂³	1	2	yes	complemented
480	#14524017	C₂³	1	2	yes	—
481	#14524017	C₂³	1	4	yes	—
482	#14524017	C₂³	1	4	yes	—
483	#14524017	C₂³	1	4	yes	—
484	#14524017	C₂³	1	2	yes	—
485	#14524017	C₂³	1	4	yes	—
486	#14524017	C₂³	1	4	yes	—
487	#14524017	C₂³	1	4	yes	—
488	#14524017	C₂³	1	2	yes	—
489	#14524017	C₂³	1	1	yes	characteristic
490	#14524017	C₂³	1	1	yes	characteristic
491	#14524017	C₂³	1	2	yes	—
492	#14524017	C₂³	1	4	yes	—
493	#14524017	C₂³	1	4	yes	—
494	#14524017	C₂³	1	4	yes	complemented
495	#14524017	C₂³	1	2	yes	complemented
496	#14524016	C₂³	1	4	yes	—
497	#14524016	C₂³	1	4	yes	—
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	2	yes	—
503	#14524016	C₂³	1	2	yes	—
504	#14524016	C₂³	1	4	yes	—
505	#14524016	C₂³	1	4	yes	complemented
506	#14524016	C₂³	1	4	yes	complemented
507	#14524015	C₂³	1	4	yes	—
508	#14524015	C₂³	1	4	yes	—
509	#14524015	C₂³	1	4	yes	—
510	#14524015	C₂³	1	4	yes	—
511	#14524015	C₂³	1	4	yes	—
512	#14524015	C₂³	1	2	yes	—
513	#14524015	C₂³	1	4	yes	—
514	#14524015	C₂³	1	2	yes	—
515	#14524015	C₂³	1	4	yes	—
516	#14524015	C₂³	1	4	yes	complemented
517	#14524015	C₂³	1	4	yes	complemented
518	#14524015	C₂³	1	4	yes	complemented
519	#14524015	C₂³	1	4	yes	complemented
520	#14524014	C₂³	1	2	yes	—
521	#14524014	C₂³	1	4	yes	—
522	#14524014	C₂³	1	4	yes	—
523	#14524014	C₂³	1	2	yes	—
524	#14524014	C₂³	1	2	yes	—
525	#14524014	C₂³	1	1	yes	characteristic
526	#14524014	C₂³	1	1	yes	characteristic
527	#14524014	C₂³	1	2	yes	—
528	#14524014	C₂³	1	2	yes	complemented
529	#14524014	C₂³	1	4	yes	complemented
530	#14524013	C₂³	1	4	yes	—
531	#14524013	C₂³	1	4	yes	—
532	#14524013	C₂³	1	4	yes	—
533	#14524013	C₂³	1	4	yes	—
534	#14524013	C₂³	1	4	yes	—
535	#14524013	C₂³	1	2	yes	—
536	#14524013	C₂³	1	2	yes	—
537	#14524013	C₂³	1	2	yes	—
538	#14524013	C₂³	1	4	yes	—
539	#14524013	C₂³	1	4	yes	—
540	#14524013	C₂³	1	4	yes	—
541	#14524013	C₂³	1	4	yes	complemented
542	#14524013	C₂³	1	4	yes	complemented
543	#14524012	C₂³	1	4	yes	—
544	#14524012	C₂³	1	2	yes	—
545	#14524011	C₂³	1	4	yes	—
546	#14524011	C₂³	1	4	yes	—
547	#14524011	C₂³	1	4	yes	—
548	#14524011	C₂³	1	4	yes	—
549	#14524011	C₂³	1	4	yes	—
550	#14524011	C₂³	1	2	yes	—
551	#14524011	C₂³	1	4	yes	—
552	#14524011	C₂³	1	2	yes	—
553	#14524011	C₂³	1	2	yes	—
554	#14524011	C₂³	1	4	yes	—
555	#14524011	C₂³	1	4	yes	—
556	#14524011	C₂³	1	4	yes	complemented
557	#14524011	C₂³	1	4	yes	complemented
558	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
559	Q₈×Dic₆₇	C₂³	1	4	yes	complemented
560	Q₈×Dic₆₇	C₂³	1	4	yes	complemented
561	C₄×Dic₁₃₄	C₂³	1	2	yes	complemented
562	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
563	#14524008	C₂³	1	2	yes	complemented
564	#14524008	C₂³	1	4	yes	complemented
565	C₄×D₂₆₈	C₂³	1	4	yes	—
566	C₄×D₂₆₈	C₂³	1	2	yes	—
567	C₄×D₂₆₈	C₂³	1	2	yes	—
568	C₄×D₂₆₈	C₂³	1	2	yes	complemented
569	C₄×D₂₆₈	C₂³	1	4	yes	complemented
570	D₄×Dic₆₇	C₂³	1	4	yes	—
571	D₄×Dic₆₇	C₂³	1	4	yes	—
572	D₄×Dic₆₇	C₂³	1	4	yes	—
573	D₄×Dic₆₇	C₂³	1	4	yes	—
574	D₄×Dic₆₇	C₂³	1	4	yes	—
575	D₄×Dic₆₇	C₂³	1	2	yes	—
576	D₄×Dic₆₇	C₂³	1	2	yes	—
577	D₄×Dic₆₇	C₂³	1	4	yes	—
578	D₄×Dic₆₇	C₂³	1	2	yes	complemented
579	D₄×Dic₆₇	C₂³	1	4	yes	complemented
580	D₄×Dic₆₇	C₂³	1	4	yes	complemented
581	#14524005	C₂³	1	4	yes	—
582	#14524005	C₂³	1	4	yes	—
583	#14524005	C₂³	1	4	yes	—
584	#14524005	C₂³	1	2	yes	—
585	#14524005	C₂³	1	2	yes	—
586	#14524005	C₂³	1	4	yes	—
587	#14524005	C₂³	1	4	yes	—
588	#14524005	C₂³	1	2	yes	complemented
589	#14524005	C₂³	1	4	yes	complemented
590	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
591	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
592	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
593	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
594	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
595	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
596	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
597	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
598	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
599	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
600	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
601	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
602	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
603	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
604	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
605	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
606	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
607	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
608	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
609	(C₂²⋊D₆₇)⋊C₄	C₂³	1	2	yes	—
610	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
611	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
612	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
613	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
614	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
615	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
616	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
617	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
618	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
619	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
620	#14524002	C₂³	1	1	yes	characteristic
621	#14524002	C₂³	1	4	yes	—
622	#14524002	C₂³	1	4	yes	complemented
623	#14524002	C₂³	1	4	yes	complemented
624	#14524001	C₂³	1	2	yes	—
625	#14524001	C₂³	1	4	yes	—
626	#14524001	C₂³	1	2	yes	—
627	#14524001	C₂³	1	2	yes	—
628	#14524001	C₂³	1	2	yes	—
629	#14524001	C₂³	1	1	yes	characteristic
630	#14524001	C₂³	1	1	yes	characteristic
631	#14524001	C₂³	1	2	yes	—
632	#14524001	C₂³	1	2	yes	—
633	#14524001	C₂³	1	2	yes	—
634	#14524001	C₂³	1	2	yes	—
635	#14524001	C₂³	1	4	yes	complemented
636	#14524001	C₂³	1	2	yes	complemented
637	#14524001	C₂³	1	2	yes	complemented
638	#14524001	C₂³	1	4	yes	complemented
639	#14524001	C₂³	1	4	yes	complemented
640	#14524000	C₂³	1	2	yes	—
641	#14523999	C₂³	1	4	yes	—
642	#14523999	C₂³	1	2	yes	—
643	#14523999	C₂³	1	4	yes	complemented
644	#14523999	C₂³	1	4	yes	complemented
645	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
646	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
647	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
648	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
649	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
650	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
651	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
652	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
653	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
654	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
655	C₄⋊C₄×D₆₇	C₂³	1	1	yes	characteristic
656	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
657	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
658	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
659	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
660	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
661	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
662	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
663	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
664	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
665	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
666	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	complemented
667	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
668	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
669	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
670	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
671	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
672	C₂²⋊C₄×D₆₇	C₂³	1	2	yes	—
673	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
674	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
675	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
676	C₂×C₄×Dic₆₇	C₂³	1	4	yes	complemented
677	C₂×C₄×Dic₆₇	C₂³	1	4	yes	complemented
678	C₄²×D₆₇	C₂³	1	2	yes	—
679	C₄²×D₆₇	C₂³	1	4	yes	complemented
680	C₂×#41×C₆₇	C₂³	1	4	yes	—
681	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
682	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
683	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
684	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
685	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
686	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
687	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
688	#126×C₆₇	C₂³	1	4	yes	complemented
689	#125×C₆₇	C₂³	1	4	yes	complemented
690	#124×C₆₇	C₂³	1	4	yes	—
691	#124×C₆₇	C₂³	1	4	yes	complemented
692	#124×C₆₇	C₂³	1	2	yes	complemented
693	#123×C₆₇	C₂³	1	4	yes	—
694	#123×C₆₇	C₂³	1	4	yes	—
695	#123×C₆₇	C₂³	1	2	yes	—
696	#123×C₆₇	C₂³	1	4	yes	complemented
697	#123×C₆₇	C₂³	1	4	yes	complemented
698	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
699	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
700	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
701	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
702	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
703	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
704	C₂²⋊Q₈×C₆₇	C₂³	1	1	yes	characteristic
705	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
706	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
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	4	yes	complemented
711	#121×C₆₇	C₂³	1	2	yes	—
712	#121×C₆₇	C₂³	1	4	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	1	yes	characteristic
717	#121×C₆₇	C₂³	1	1	yes	characteristic
718	#121×C₆₇	C₂³	1	4	yes	—
719	#121×C₆₇	C₂³	1	4	yes	—
720	#121×C₆₇	C₂³	1	4	yes	complemented
721	#121×C₆₇	C₂³	1	2	yes	complemented
722	#121×C₆₇	C₂³	1	4	yes	complemented
723	#120×C₆₇	C₂³	1	4	yes	—
724	#120×C₆₇	C₂³	1	2	yes	—
725	C₄×Q₈×C₆₇	C₂³	1	2	yes	complemented
726	C₄×D₄×C₆₇	C₂³	1	4	yes	—
727	C₄×D₄×C₆₇	C₂³	1	2	yes	—
728	C₄×D₄×C₆₇	C₂³	1	4	yes	—
729	C₄×D₄×C₆₇	C₂³	1	2	yes	—
730	C₄×D₄×C₆₇	C₂³	1	2	yes	complemented
731	#117×C₆₇	C₂³	1	1	yes	characteristic
732	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
733	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
734	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
735	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
736	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
737	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
738	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
739	C₂³×D₆₇	—	4	2	no	—
740	C₂³×D₆₇	—	4	2	no	—
741	C₂³×D₆₇	—	4	2	no	—
742	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
743	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
744	C₂³×D₆₇	C₂⁴	1	2	yes	—
745	C₂³×D₆₇	C₂⁴	1	2	yes	—
746	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
747	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
748	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
749	C₂³×D₆₇	C₂⁴	1	4	yes	—
750	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
751	#11761629	—	2	8	no	—
752	#11761629	—	4	2	no	—
753	#11761629	—	4	4	no	—
754	#11761629	—	4	4	no	—
755	#11761629	—	4	4	no	—
756	#11761628	—	4	4	no	—
757	#11761628	—	4	4	no	—
758	#11761628	—	4	2	no	—
759	#11761628	—	4	8	no	—
760	#11761627	—	2	8	no	—
761	#11761627	—	4	4	no	—
762	#11761627	—	4	4	no	—
763	#11761627	—	4	2	no	—
764	#11761627	—	4	8	no	—
765	#11761627	—	4	4	no	—
766	#11761627	—	4	4	no	—
767	#11761627	—	4	8	no	—
768	C₂×Dic₁₃₄	—	4	2	no	—
769	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
770	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
771	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
772	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
773	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
774	C₂×Dic₁₃₄	C₂⁴	1	1	yes	characteristic
775	Q₈×D₆₇	—	4	4	no	—
776	Q₈×D₆₇	—	4	2	no	—
777	C₂×D₂₆₈	—	4	2	no	—
778	C₂×D₂₆₈	—	4	4	no	—
779	C₂×D₂₆₈	—	4	4	no	—
780	C₂×D₂₆₈	C₂⁴	1	4	yes	—
781	C₂×D₂₆₈	C₂⁴	1	2	yes	—
782	C₂×D₂₆₈	C₂⁴	1	4	yes	—
783	C₂×D₂₆₈	C₂⁴	1	4	yes	—
784	C₂×D₂₆₈	C₂⁴	1	2	yes	—
785	C₂×D₂₆₈	C₂⁴	1	2	yes	—
786	C₂×D₂₆₈	C₂⁴	1	4	yes	—
787	C₂×D₂₆₈	C₂⁴	1	2	yes	—
788	C₂×D₂₆₈	C₂⁴	1	4	yes	—
789	C₂×D₂₆₈	C₂⁴	1	1	yes	characteristic
790	C₂×D₂₆₈	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊D₆₇	—	4	4	no	—
792	C₂×C₂²⋊D₆₇	—	4	4	no	—
793	C₂×C₂²⋊D₆₇	—	4	8	no	—
794	C₂×C₂²⋊D₆₇	—	4	4	no	—
795	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
797	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
798	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
803	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
804	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
809	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
811	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
814	D₄×D₆₇	—	4	4	no	—
815	D₄×D₆₇	—	4	2	no	—
816	D₄×D₆₇	—	4	4	no	—
817	D₄×D₆₇	—	4	8	no	—
818	D₄×D₆₇	—	4	8	no	—
819	D₄×D₆₇	—	4	4	no	—
820	D₄×D₆₇	—	4	4	no	—
821	C₂²×Dic₆₇	—	4	2	no	—
822	C₂²×Dic₆₇	—	4	4	no	—
823	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
824	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
825	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
826	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
827	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
828	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
829	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
830	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
831	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
832	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
833	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
834	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
835	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
836	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
837	C₂×C₄×D₆₇	—	2	4	no	—
838	C₂×C₄×D₆₇	—	2	4	no	—
839	C₂×C₄×D₆₇	—	2	4	no	—
840	C₂×C₄×D₆₇	—	2	8	no	—
841	C₂×C₄×D₆₇	—	4	2	no	—
842	C₂×C₄×D₆₇	—	4	2	no	—
843	C₂×C₄×D₆₇	—	4	2	no	—
844	C₂×C₄×D₆₇	—	4	4	no	—
845	C₂×C₄×D₆₇	—	4	8	no	—
846	C₂×C₄×D₆₇	—	4	2	no	—
847	C₂×C₄×D₆₇	—	4	2	no	—
848	C₂×C₄×D₆₇	—	4	2	no	—
849	C₂×C₄×D₆₇	—	4	2	no	—
850	C₂×C₄×D₆₇	—	4	2	no	—
851	C₂×C₄×D₆₇	—	4	2	no	—
852	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
853	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
854	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
855	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
856	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
857	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
858	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
859	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
860	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
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	2	yes	—
867	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
868	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
869	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
870	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
871	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
872	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
873	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
874	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
875	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
876	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
877	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
878	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
879	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
880	C₄⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
881	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
882	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
883	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
884	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
885	C₄⋊Dic₆₇	C₂⁴	1	2	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	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
892	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
893	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
894	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
895	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
896	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
897	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
898	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
899	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
900	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
901	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
902	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
903	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
904	Dic₆₇⋊C₄	C₂⁴	1	4	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	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
912	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
913	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
914	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
915	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
916	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
917	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
918	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
919	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
920	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
921	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
922	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
923	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
924	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
925	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
926	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
927	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
928	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
929	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
930	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
931	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
932	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
933	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
934	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
935	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
936	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	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	4	yes	—
944	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
945	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	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	4	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	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
955	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
956	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
957	C₄×Dic₆₇	C₂⁴	1	2	yes	—
958	C₄×Dic₆₇	C₂⁴	1	2	yes	—
959	C₄×Dic₆₇	C₂⁴	1	2	yes	—
960	C₄×Dic₆₇	C₂⁴	1	4	yes	—
961	C₄×Dic₆₇	C₂⁴	1	4	yes	—
962	C₄×Dic₆₇	C₂⁴	1	4	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	4	yes	—
968	C₄×Dic₆₇	C₂⁴	1	4	yes	—
969	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
970	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
971	#41×C₆₇	—	4	2	no	—
972	#41×C₆₇	—	4	8	no	—
973	#41×C₆₇	—	4	4	no	—
974	C₂×Q₈×C₆₇	—	4	2	no	—
975	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
976	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
977	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
978	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
979	C₂×D₄×C₆₇	—	4	2	no	—
980	C₂×D₄×C₆₇	—	4	4	no	—
981	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
982	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
983	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
984	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
985	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
986	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
987	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
988	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
989	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
990	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
991	C₂²×C₄×C₆₇	—	4	2	no	—
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	1	yes	characteristic
997	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
998	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
999	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1000	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1001	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1002	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1003	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1004	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1005	C₄⋊C₄×C₆₇	C₂⁴	1	2	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	2	yes	—
1011	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1012	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1013	C₄⋊C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1014	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1015	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1016	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1017	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1018	C₄⋊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	4	yes	—
1022	C₂²⋊C₄×C₆₇	C₂⁴	1	4	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	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1027	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1028	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1029	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1030	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1031	C₂²⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1032	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1033	C₄²×C₆₇	C₂⁴	1	2	yes	—
1034	C₄²×C₆₇	C₂⁴	1	4	yes	—
1035	C₂³×C₆₇	—	2	2	no	—
1036	C₂³×C₆₇	—	2	2	no	—
1037	C₂³×C₆₇	—	2	4	no	—
1038	C₂³×C₆₇	—	4	1	no	—
1039	C₂³×C₆₇	—	4	2	no	—
1040	C₂³×C₆₇	—	4	2	no	—
1041	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1042	C₂³×C₆₇	C₂⁵	1	4	yes	—
1043	C₂³×C₆₇	C₂⁵	1	2	yes	—
1044	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1045	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1046	C₂²×D₆₇	—	2	2	no	—
1047	C₂²×D₆₇	—	2	2	no	—
1048	C₂²×D₆₇	—	2	2	no	—
1049	C₂²×D₆₇	—	2	2	no	—
1050	C₂²×D₆₇	—	2	4	no	—
1051	C₂²×D₆₇	—	2	2	no	—
1052	C₂²×D₆₇	—	2	2	no	—
1053	C₂²×D₆₇	—	2	2	no	—
1054	C₂²×D₆₇	—	2	4	no	—
1055	C₂²×D₆₇	—	4	1	no	—
1056	C₂²×D₆₇	—	4	1	no	—
1057	C₂²×D₆₇	—	4	1	no	—
1058	C₂²×D₆₇	—	4	1	no	—
1059	C₂²×D₆₇	—	4	1	no	—
1060	C₂²×D₆₇	—	4	1	no	—
1061	C₂²×D₆₇	—	4	1	no	—
1062	C₂²×D₆₇	—	4	1	no	—
1063	C₂²×D₆₇	—	4	1	no	—
1064	C₂²×D₆₇	—	4	1	no	—
1065	C₂²×D₆₇	—	4	1	no	—
1066	C₂²×D₆₇	—	4	4	no	—
1067	C₂²×D₆₇	—	4	2	no	—
1068	C₂²×D₆₇	—	4	2	no	—
1069	C₂²×D₆₇	—	4	2	no	—
1070	C₂²×D₆₇	—	4	4	no	—
1071	C₂²×D₆₇	—	4	2	no	—
1072	C₂²×D₆₇	—	4	4	no	—
1073	C₂²×D₆₇	—	4	16	no	—
1074	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1075	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1076	C₂²×D₆₇	C₂⁵	1	2	yes	—
1077	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1078	C₂²×D₆₇	C₂⁵	1	4	yes	—
1079	C₂²×D₆₇	C₂⁵	1	1	yes	characteristic
1080	Q₈×C₆₇	—	2	4	no	—
1081	Q₈×C₆₇	—	4	2	no	—
1082	Q₈×C₆₇	—	4	4	no	—
1083	Q₈×C₆₇	—	4	1	no	—
1084	D₄×C₆₇	—	2	8	no	—
1085	D₄×C₆₇	—	2	4	no	—
1086	D₄×C₆₇	—	2	4	no	—
1087	D₄×C₆₇	—	2	4	no	—
1088	D₄×C₆₇	—	4	4	no	—
1089	D₄×C₆₇	—	4	2	no	—
1090	D₄×C₆₇	—	4	4	no	—
1091	D₄×C₆₇	—	4	2	no	—
1092	D₄×C₆₇	—	4	1	no	—
1093	D₄×C₆₇	—	4	4	no	—
1094	C₂×C₄×C₆₇	—	2	4	no	—
1095	C₂×C₄×C₆₇	—	2	2	no	—
1096	C₂×C₄×C₆₇	—	2	2	no	—
1097	C₂×C₄×C₆₇	—	2	2	no	—
1098	C₂×C₄×C₆₇	—	2	4	no	—
1099	C₂×C₄×C₆₇	—	4	1	no	—
1100	C₂×C₄×C₆₇	—	4	1	no	—
1101	C₂×C₄×C₆₇	—	4	1	no	—
1102	C₂×C₄×C₆₇	—	4	2	no	—
1103	C₂×C₄×C₆₇	—	4	2	no	—
1104	C₂×C₄×C₆₇	—	4	4	no	—
1105	C₂×C₄×C₆₇	—	4	4	no	—
1106	C₂×C₄×C₆₇	—	4	4	no	—
1107	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1108	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1109	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1110	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1111	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1112	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1113	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
1114	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1115	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1116	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1117	C₂²⋊D₆₇	—	2	4	no	—
1118	C₂²⋊D₆₇	—	2	4	no	—
1119	C₂²⋊D₆₇	—	2	8	no	—
1120	C₂²⋊D₆₇	—	2	8	no	—
1121	C₂²⋊D₆₇	—	4	4	no	—
1122	C₂²⋊D₆₇	—	4	2	no	—
1123	C₂²⋊D₆₇	—	4	2	no	—
1124	C₂²⋊D₆₇	—	4	4	no	—
1125	C₂²⋊D₆₇	—	4	2	no	—
1126	C₂²⋊D₆₇	—	4	2	no	—
1127	C₂²⋊D₆₇	—	4	4	no	—
1128	C₂²⋊D₆₇	—	4	2	no	—
1129	C₂²⋊D₆₇	—	4	4	no	—
1130	C₂²⋊D₆₇	—	4	4	no	—
1131	C₂²⋊D₆₇	—	4	4	no	—
1132	C₂²⋊D₆₇	—	4	4	no	—
1133	C₂²⋊D₆₇	—	4	4	no	—
1134	C₂²⋊D₆₇	—	4	4	no	—
1135	C₂²⋊D₆₇	—	4	4	no	—
1136	C₂×Dic₆₇	—	2	4	no	—
1137	C₂×Dic₆₇	—	2	2	no	—
1138	C₂×Dic₆₇	—	2	2	no	—
1139	C₂×Dic₆₇	—	2	2	no	—
1140	C₂×Dic₆₇	—	2	4	no	—
1141	C₂×Dic₆₇	—	2	8	no	—
1142	C₂×Dic₆₇	—	4	1	no	—
1143	C₂×Dic₆₇	—	4	1	no	—
1144	C₂×Dic₆₇	—	4	1	no	—
1145	C₂×Dic₆₇	—	4	2	no	—
1146	C₂×Dic₆₇	—	4	4	no	—
1147	C₂×Dic₆₇	—	4	2	no	—
1148	C₂×Dic₆₇	—	4	4	no	—
1149	C₂×Dic₆₇	—	4	4	no	—
1150	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1151	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1152	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1153	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1154	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1155	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1156	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1157	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1158	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1159	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
1160	D₂₆₈	—	2	8	no	—
1161	D₂₆₈	—	2	4	no	—
1162	D₂₆₈	—	4	2	no	—
1163	D₂₆₈	—	4	4	no	—
1164	D₂₆₈	—	4	2	no	—
1165	D₂₆₈	—	4	2	no	—
1166	D₂₆₈	—	4	1	no	—
1167	D₂₆₈	—	4	4	no	—
1168	D₂₆₈	—	4	4	no	—
1169	D₂₆₈	—	4	4	no	—
1170	D₂₆₈	—	4	2	no	—
1171	C₄×D₆₇	—	2	2	no	—
1172	C₄×D₆₇	—	2	2	no	—
1173	C₄×D₆₇	—	2	2	no	—
1174	C₄×D₆₇	—	2	4	no	—
1175	C₄×D₆₇	—	2	2	no	—
1176	C₄×D₆₇	—	2	2	no	—
1177	C₄×D₆₇	—	2	2	no	—
1178	C₄×D₆₇	—	2	4	no	—
1179	C₄×D₆₇	—	2	2	no	—
1180	C₄×D₆₇	—	2	2	no	—
1181	C₄×D₆₇	—	2	4	no	—
1182	C₄×D₆₇	—	2	2	no	—
1183	C₄×D₆₇	—	2	8	no	—
1184	C₄×D₆₇	—	4	1	no	—
1185	C₄×D₆₇	—	4	1	no	—
1186	C₄×D₆₇	—	4	1	no	—
1187	C₄×D₆₇	—	4	1	no	—
1188	C₄×D₆₇	—	4	1	no	—
1189	C₄×D₆₇	—	4	1	no	—
1190	C₄×D₆₇	—	4	4	no	—
1191	C₄×D₆₇	—	4	4	no	—
1192	C₄×D₆₇	—	4	4	no	—
1193	C₄×D₆₇	—	4	4	no	—
1194	C₄×D₆₇	—	4	2	no	—
1195	C₄×D₆₇	—	4	2	no	—
1196	C₄×D₆₇	—	4	4	no	—
1197	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
1198	Dic₁₃₄	—	2	4	no	—
1199	Dic₁₃₄	—	4	4	no	—
1200	Dic₁₃₄	—	4	1	no	—
1201	Dic₁₃₄	—	4	2	no	—
1202	Dic₁₃₄	—	4	2	no	—
1203	Dic₁₃₄	—	4	4	no	—
1204	C₂²×C₆₇	—	2	1	no	—
1205	C₂²×C₆₇	—	2	1	no	—
1206	C₂²×C₆₇	—	2	1	no	—
1207	C₂²×C₆₇	—	2	1	no	—
1208	C₂²×C₆₇	—	2	4	no	—
1209	C₂²×C₆₇	—	2	1	no	—
1210	C₂²×C₆₇	—	2	2	no	—
1211	C₂²×C₆₇	—	2	2	no	—
1212	C₂²×C₆₇	—	2	4	no	—
1213	C₂²×C₆₇	—	2	1	no	—
1214	C₂²×C₆₇	—	2	2	no	—
1215	C₂²×C₆₇	—	2	4	no	—
1216	C₂²×C₆₇	—	2	1	no	—
1217	C₂²×C₆₇	—	4	4	no	—
1218	C₂²×C₆₇	—	8	4	no	—
1219	C₂²×C₆₇	#585	1	2	yes	—
1220	C₂²×C₆₇	#585	1	2	yes	—
1221	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1222	C₂×D₆₇	—	2	1	no	—
1223	C₂×D₆₇	—	2	1	no	—
1224	C₂×D₆₇	—	2	1	no	—
1225	C₂×D₆₇	—	2	1	no	—
1226	C₂×D₆₇	—	2	2	no	—
1227	C₂×D₆₇	—	2	1	no	—
1228	C₂×D₆₇	—	2	4	no	—
1229	C₂×D₆₇	—	2	4	no	—
1230	C₂×D₆₇	—	2	4	no	—
1231	C₂×D₆₇	—	2	1	no	—
1232	C₂×D₆₇	—	2	1	no	—
1233	C₂×D₆₇	—	2	2	no	—
1234	C₂×D₆₇	—	2	1	no	—
1235	C₂×D₆₇	—	2	1	no	—
1236	C₂×D₆₇	—	2	2	no	—
1237	C₂×D₆₇	—	2	1	no	—
1238	C₂×D₆₇	—	2	1	no	—
1239	C₂×D₆₇	—	4	4	no	—
1240	C₂×D₆₇	—	4	4	no	—
1241	C₂×D₆₇	—	4	4	no	—
1242	C₂×D₆₇	—	4	4	no	—
1243	C₂×D₆₇	—	4	4	no	—
1244	C₂×D₆₇	—	4	4	no	—
1245	C₂×D₆₇	—	8	4	no	—
1246	C₂×D₆₇	—	8	4	no	—
1247	C₂×D₆₇	—	8	8	no	—
1248	C₂×D₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1249	C₄×C₆₇	—	2	1	no	—
1250	C₄×C₆₇	—	2	1	no	—
1251	C₄×C₆₇	—	2	2	no	—
1252	C₄×C₆₇	—	2	4	no	—
1253	C₄×C₆₇	—	2	1	no	—
1254	C₄×C₆₇	—	2	2	no	—
1255	C₄×C₆₇	—	2	4	no	—
1256	C₄×C₆₇	—	2	2	no	—
1257	C₄×C₆₇	—	2	4	no	—
1258	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1259	Dic₆₇	—	2	4	no	—
1260	Dic₆₇	—	2	2	no	—
1261	Dic₆₇	—	2	1	no	—
1262	Dic₆₇	—	2	1	no	—
1263	Dic₆₇	—	2	1	no	—
1264	Dic₆₇	—	2	4	no	—
1265	Dic₆₇	—	2	4	no	—
1266	Dic₆₇	—	2	2	no	—
1267	Dic₆₇	—	2	2	no	—
1268	Dic₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1269	#62729	—	67	1	no	maximal, Sylow
1270	C₂×C₆₇	—	2	2	no	—
1271	C₂×C₆₇	—	2	2	no	—
1272	C₂×C₆₇	—	4	1	no	—
1273	C₂×C₆₇	—	4	2	no	—
1274	C₂×C₆₇	—	4	4	no	—
1275	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1276	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1277	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
1278	D₆₇	—	2	2	no	—
1279	D₆₇	—	4	1	no	—
1280	D₆₇	—	4	1	no	—
1281	D₆₇	—	4	1	no	—
1282	D₆₇	—	4	4	no	—
1283	D₆₇	—	4	2	no	—
1284	#3542	—	67	2	no	—
1285	#3542	—	67	2	no	—
1286	#3541	—	67	2	no	—
1287	#3541	—	67	2	no	—
1288	#3540	—	67	2	no	—
1289	#3539	—	67	2	no	—
1290	#3538	—	67	1	no	—
1291	#3537	—	67	1	no	—
1292	#3536	—	67	1	no	—
1293	#3536	D₆₇	1	1	yes	characteristic, complemented
1294	#3535	—	67	2	no	—
1295	#3535	—	67	2	no	—
1296	#3534	—	67	2	no	—
1297	#3534	—	67	2	no	—
1298	#3533	—	67	4	no	—
1299	#3532	—	67	4	no	—
1300	#3529	—	67	4	no	—
1301	#3481	—	67	4	no	—
1302	#3475	—	67	2	no	—
1303	#3475	—	67	2	no	—
1304	D₄×#41	—	67	2	no	—
1305	D₄×#41	—	67	2	no	—
1306	#3460	—	67	2	no	—
1307	#3460	—	67	2	no	—
1308	#3459	—	67	2	no	—
1309	#3459	—	67	2	no	—
1310	#3455	—	67	2	no	—
1311	#3449	—	67	2	no	—
1312	C₂×#525	—	67	1	no	—
1313	C₂×#525	—	67	1	no	—
1314	C₂×#525	—	67	1	no	—
1315	C₆₇	#62729	1	1	yes	characteristic, complemented, Sylow
1316	C₂²×#41	—	67	1	no	—
1317	C₂²×#41	—	67	2	no	—
1318	C₂²×#41	—	67	1	no	—
1319	C₂²×#41	—	67	1	no	—
1320	C₂⁴×C₄	—	67	1	no	—
1321	#563	—	67	4	no	—
1322	#563	—	67	4	no	—
1323	#563	—	67	4	no	—
1324	#562	—	67	4	no	—
1325	#562	—	67	4	no	—
1326	#562	—	67	4	no	—
1327	#562	—	67	4	no	—
1328	#562	—	67	4	no	—
1329	#562	C₂×D₆₇	1	4	yes	complemented
1330	H(3,𝔽₄)	—	67	4	no	—
1331	#560	—	67	4	no	—
1332	#560	—	67	4	no	—
1333	#560	—	67	4	no	—
1334	#560	—	67	4	no	—
1335	#560	—	67	4	no	—
1336	#560	—	67	4	no	—
1337	#559	—	67	4	no	—
1338	#556	—	67	2	no	—
1339	#556	—	67	2	no	—
1340	#555	—	67	2	no	—
1341	#555	—	67	2	no	—
1342	#554	—	67	4	no	—
1343	#554	—	67	2	no	—
1344	#554	—	67	4	no	—
1345	#554	C₂×D₆₇	1	2	yes	complemented
1346	#553	—	67	4	no	—
1347	#553	—	67	4	no	—
1348	#553	—	67	4	no	—
1349	#553	—	67	2	no	—
1350	#553	—	67	2	no	—
1351	#553	—	67	4	no	—
1352	#553	—	67	2	no	—
1353	#553	—	67	2	no	—
1354	#552	—	67	4	no	—
1355	#552	—	67	2	no	—
1356	#552	—	67	4	no	—
1357	#552	—	67	2	no	—
1358	#552	—	67	2	no	—
1359	#552	—	67	2	no	—
1360	#551	—	67	4	no	—
1361	#551	—	67	4	no	—
1362	#551	—	67	4	no	—
1363	#551	—	67	4	no	—
1364	#551	—	67	4	no	—
1365	#551	—	67	4	no	—
1366	#551	—	67	4	no	—
1367	#551	—	67	4	no	—
1368	#550	—	67	2	no	—
1369	#550	—	67	2	no	—
1370	D₄×Q₈	—	67	2	no	—
1371	D₄×Q₈	—	67	2	no	—
1372	#548	—	67	2	no	—
1373	#548	—	67	2	no	—
1374	#548	—	67	2	no	—
1375	#548	C₂×D₆₇	1	2	yes	complemented
1376	#547	—	67	2	no	—
1377	#547	—	67	4	no	—
1378	#547	—	67	4	no	—
1379	#547	—	67	2	no	—
1380	#547	—	67	2	no	—
1381	#547	C₂×D₆₇	1	2	yes	complemented
1382	#546	—	67	4	no	—
1383	#546	—	67	4	no	—
1384	#546	—	67	4	no	—
1385	#546	—	67	2	no	—
1386	#546	—	67	4	no	—
1387	#546	—	67	4	no	—
1388	#546	—	67	4	no	—
1389	#546	—	67	4	no	—
1390	#546	—	67	4	no	—
1391	#546	—	67	2	no	—
1392	#546	—	67	2	no	—
1393	#546	—	67	4	no	—
1394	#546	C₂×D₆₇	1	4	yes	complemented
1395	#546	C₂×D₆₇	1	2	yes	complemented
1396	D₄²	—	67	2	no	—
1397	D₄²	—	67	4	no	—
1398	D₄²	—	67	4	no	—
1399	D₄²	—	67	2	no	—
1400	D₄²	—	67	4	no	—
1401	#544	—	67	2	no	—
1402	#544	—	67	2	no	—
1403	#543	—	67	2	no	—
1404	#543	C₂×D₆₇	1	2	yes	complemented
1405	#542	—	67	2	no	—
1406	#542	—	67	4	no	—
1407	#542	—	67	4	no	—
1408	#542	—	67	2	no	—
1409	#542	—	67	4	no	—
1410	#542	—	67	4	no	—
1411	#542	—	67	2	no	—
1412	#542	C₂×D₆₇	1	2	yes	complemented
1413	#541	—	67	2	no	—
1414	#541	—	67	2	no	—
1415	#540	—	67	4	no	—
1416	#540	—	67	2	no	—
1417	#540	—	67	4	no	—
1418	#540	—	67	4	no	—
1419	#540	—	67	4	no	—
1420	#540	—	67	2	no	—
1421	#539	—	67	4	no	—
1422	#539	—	67	4	no	—
1423	#539	—	67	2	no	—
1424	#539	—	67	2	no	—
1425	#539	—	67	4	no	—
1426	#539	—	67	4	no	—
1427	#539	—	67	4	no	—
1428	#539	—	67	4	no	—
1429	#539	—	67	2	no	—
1430	#539	C₂×D₆₇	1	2	yes	complemented
1431	#538	—	67	4	no	—
1432	#538	—	67	4	no	—
1433	#538	—	67	4	no	—
1434	#538	—	67	4	no	—
1435	#538	—	67	4	no	—
1436	#538	—	67	4	no	—
1437	#538	—	67	4	no	—
1438	#538	—	67	4	no	—
1439	#538	—	67	2	no	—
1440	#538	—	67	2	no	—
1441	#538	—	67	4	no	—
1442	#538	—	67	4	no	—
1443	#538	—	67	2	no	—
1444	#538	C₂×D₆₇	1	2	yes	complemented
1445	#537	—	67	2	no	—
1446	#537	—	67	2	no	—
1447	#537	—	67	2	no	—
1448	#537	—	67	2	no	—
1449	#537	C₂×D₆₇	1	2	yes	complemented
1450	#537	C₂×D₆₇	1	2	yes	complemented
1451	#536	—	67	2	no	—
1452	#536	—	67	4	no	—
1453	#536	—	67	2	no	—
1454	#535	—	67	4	no	—
1455	#535	—	67	4	no	—
1456	#535	—	67	2	no	—
1457	#535	—	67	2	no	—
1458	#535	—	67	4	no	—
1459	#534	—	67	4	no	—
1460	#534	—	67	4	no	—
1461	#534	—	67	2	no	—
1462	#534	—	67	4	no	—
1463	#534	—	67	4	no	—
1464	#534	—	67	2	no	—
1465	#533	—	67	2	no	—
1466	#532	—	67	2	no	—
1467	#532	—	67	4	no	—
1468	#532	—	67	4	no	—
1469	#532	—	67	4	no	—
1470	#532	—	67	4	no	—
1471	#529	—	67	4	no	—
1472	#529	—	67	4	no	—
1473	#529	—	67	4	no	—
1474	#529	—	67	4	no	—
1475	#529	—	67	4	no	—
1476	#529	—	67	4	no	—
1477	#529	—	67	4	no	—
1478	#529	—	67	4	no	—
1479	#529	—	67	4	no	—
1480	#529	—	67	4	no	—
1481	#525	—	67	1	no	—
1482	#525	—	67	1	no	—
1483	#525	—	67	2	no	—
1484	#525	—	67	4	no	—
1485	#525	—	67	2	no	—
1486	#525	—	67	1	no	—
1487	#525	—	67	1	no	—
1488	#525	—	67	2	no	—
1489	#525	—	67	2	no	—
1490	#525	—	67	2	no	—
1491	#525	—	67	2	no	—
1492	#525	—	67	2	no	—
1493	#525	—	67	2	no	—
1494	#525	—	67	2	no	—
1495	#525	—	67	4	no	—
1496	#525	—	67	2	no	—
1497	#525	—	67	4	no	—
1498	#525	—	67	2	no	—
1499	#525	—	67	2	no	—
1500	#525	—	67	1	no	—
1501	#525	—	67	1	no	—
1502	#525	—	67	2	no	—
1503	#525	—	67	2	no	—
1504	#525	—	67	2	no	—
1505	#525	—	67	2	no	—
1506	#525	—	67	2	no	—
1507	#525	—	67	2	no	—
1508	#525	—	67	4	no	—
1509	#525	—	67	4	no	—
1510	#525	—	67	2	no	—
1511	#525	—	67	2	no	—
1512	#525	—	67	4	no	—
1513	#525	—	67	2	no	—
1514	#525	—	67	2	no	—
1515	#525	—	67	1	no	—
1516	#525	C₂×D₆₇	1	1	yes	characteristic, complemented
1517	C₂×#123	—	67	2	no	—
1518	C₂×#123	—	67	2	no	—
1519	C₂×#123	—	67	2	no	—
1520	C₂×C₂²⋊Q₈	—	67	1	no	—
1521	C₂×C₂²⋊Q₈	—	67	1	no	—
1522	C₂×C₂²⋊Q₈	—	67	1	no	—
1523	C₂×C₂²⋊Q₈	—	67	1	no	—
1524	C₂×C₂²⋊Q₈	—	67	1	no	—
1525	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1526	C₂×#121	—	67	1	no	—
1527	C₂×#121	—	67	1	no	—
1528	C₂×#121	—	67	1	no	—
1529	C₂×#121	—	67	1	no	—
1530	C₂×#121	—	67	1	no	—
1531	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
1532	C₂×#120	—	67	2	no	—
1533	C₂×#120	—	67	2	no	—
1534	C₂×#120	—	67	2	no	—
1535	C₄×#41	—	67	4	no	—
1536	C₄×#41	—	67	2	no	—
1537	C₄×#41	—	67	4	no	—
1538	C₄×#41	—	67	2	no	—
1539	C₂×C₄×D₄	—	67	2	no	—
1540	C₂×C₄×D₄	—	67	2	no	—
1541	C₂×C₄×D₄	—	67	2	no	—
1542	C₂×C₄×D₄	—	67	4	no	—
1543	C₂×C₄×D₄	—	67	2	no	—
1544	C₂×C₄×D₄	—	67	2	no	—
1545	C₂×C₄×D₄	—	67	2	no	—
1546	C₂×C₄×D₄	—	67	4	no	—
1547	C₂×#117	—	67	1	no	—
1548	C₂×#117	—	67	1	no	—
1549	C₂×#117	—	67	1	no	—
1550	C₂×#117	—	67	2	no	—
1551	C₂⁵	—	67	1	no	—
1552	C₂×#41	—	268	4	no	—
1553	C₂×#41	—	268	4	no	—
1554	C₂×#41	—	268	8	no	—
1555	C₂×#41	—	268	4	no	—
1556	C₂×#41	—	67	1	no	—
1557	C₂×#41	—	67	2	no	—
1558	C₂×#41	—	67	2	no	—
1559	C₂×#41	—	67	2	no	—
1560	C₂×#41	—	67	2	no	—
1561	C₂×#41	—	67	4	no	—
1562	C₂×#41	—	67	2	no	—
1563	C₂×#41	—	67	2	no	—
1564	C₂×#41	—	67	1	no	—
1565	C₂×#41	—	67	4	no	—
1566	C₂×#41	—	67	2	no	—
1567	C₂×#41	—	67	2	no	—
1568	C₂×#41	—	67	2	no	—
1569	C₂×#41	—	67	1	no	—
1570	C₂×#41	—	67	2	no	—
1571	C₂×#41	—	67	4	no	—
1572	C₂×#41	—	67	2	no	—
1573	C₂×#41	C₂²×D₆₇	1	4	yes	—
1574	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1575	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1576	C₂²×Q₈	—	67	1	no	—
1577	C₂²×Q₈	—	67	2	no	—
1578	C₂²×Q₈	—	67	1	no	—
1579	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1580	C₂²×D₄	—	67	2	no	—
1581	C₂²×D₄	—	67	2	no	—
1582	C₂²×D₄	—	67	4	no	—
1583	C₂²×D₄	—	67	2	no	—
1584	C₂²×D₄	—	67	2	no	—
1585	C₂²×D₄	—	67	2	no	—
1586	C₂²×D₄	—	67	4	no	—
1587	C₂²×D₄	—	67	2	no	—
1588	C₂²×D₄	—	67	1	no	—
1589	C₂²×D₄	—	67	4	no	—
1590	C₂²×D₄	—	67	2	no	—
1591	C₂²×D₄	—	67	2	no	—
1592	C₂²×D₄	—	67	2	no	—
1593	C₂²×D₄	—	67	1	no	—
1594	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1595	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1596	C₂³×C₄	—	268	4	no	—
1597	C₂³×C₄	—	67	1	no	—
1598	C₂³×C₄	—	67	2	no	—
1599	C₂³×C₄	—	67	2	no	—
1600	C₂³×C₄	—	67	1	no	—
1601	C₂³×C₄	—	67	1	no	—
1602	C₂³×C₄	—	67	4	no	—
1603	C₂³×C₄	—	67	1	no	—
1604	C₂³×C₄	—	67	1	no	—
1605	C₂³×C₄	—	67	1	no	—
1606	C₂³×C₄	—	67	1	no	—
1607	C₂³×C₄	—	67	1	no	—
1608	C₂³×C₄	—	67	1	no	—
1609	C₂³×C₄	—	67	1	no	—
1610	C₂³×C₄	—	67	1	no	—
1611	C₂³×C₄	—	67	1	no	—
1612	C₂³×C₄	—	67	2	no	—
1613	C₂³×C₄	—	67	1	no	—
1614	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1615	C₄⋊Q₈	—	67	2	no	—
1616	C₄⋊Q₈	—	67	4	no	—
1617	C₄⋊Q₈	—	67	4	no	—
1618	C₄⋊Q₈	—	67	4	no	—
1619	C₄⋊Q₈	—	67	4	no	—
1620	C₄⋊Q₈	—	67	2	no	—
1621	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1622	#127	—	67	4	no	—
1623	#127	—	67	4	no	—
1624	#127	—	67	4	no	—
1625	#127	—	67	4	no	—
1626	#127	—	67	2	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	—	67	4	no	—
1634	#126	—	67	4	no	—
1635	#126	—	67	4	no	—
1636	#126	—	67	4	no	—
1637	#126	—	67	4	no	—
1638	#126	—	67	4	no	—
1639	#126	—	67	4	no	—
1640	#126	—	67	4	no	—
1641	#126	—	67	4	no	—
1642	#126	—	67	4	no	—
1643	#126	—	67	4	no	—
1644	#126	—	67	4	no	—
1645	#126	—	67	4	no	—
1646	#126	C₂²×D₆₇	1	4	yes	complemented
1647	#125	—	67	4	no	—
1648	#125	—	67	4	no	—
1649	#125	—	67	4	no	—
1650	#125	—	67	4	no	—
1651	#125	—	67	4	no	—
1652	#125	—	67	4	no	—
1653	#125	—	67	4	no	—
1654	#125	—	67	4	no	—
1655	#125	—	67	2	no	—
1656	#125	—	67	2	no	—
1657	#125	—	67	4	no	—
1658	#125	C₂²×D₆₇	1	4	yes	complemented
1659	#124	—	67	4	no	—
1660	#124	—	67	4	no	—
1661	#124	—	67	4	no	—
1662	#124	—	67	4	no	—
1663	#124	—	67	4	no	—
1664	#124	—	67	4	no	—
1665	#124	—	67	4	no	—
1666	#124	—	67	4	no	—
1667	#124	—	67	4	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	2	no	—
1676	#124	C₂²×D₆₇	1	4	yes	—
1677	#124	C₂²×D₆₇	1	4	yes	complemented
1678	#124	C₂²×D₆₇	1	2	yes	complemented
1679	#123	—	67	2	no	—
1680	#123	—	67	4	no	—
1681	#123	—	67	2	no	—
1682	#123	—	67	4	no	—
1683	#123	—	67	4	no	—
1684	#123	—	67	4	no	—
1685	#123	—	67	4	no	—
1686	#123	—	67	4	no	—
1687	#123	—	67	2	no	—
1688	#123	—	67	2	no	—
1689	#123	—	67	4	no	—
1690	#123	—	67	4	no	—
1691	#123	—	67	4	no	—
1692	#123	—	67	4	no	—
1693	#123	—	67	4	no	—
1694	#123	—	67	4	no	—
1695	#123	—	67	4	no	—
1696	#123	—	67	4	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	2	no	—
1703	#123	—	67	2	no	—
1704	#123	—	67	4	no	—
1705	#123	—	67	2	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	4	no	—
1715	#123	—	67	4	no	—
1716	#123	—	67	4	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	C₂²×D₆₇	1	2	yes	—
1725	#123	C₂²×D₆₇	1	4	yes	—
1726	#123	C₂²×D₆₇	1	4	yes	—
1727	#123	C₂²×D₆₇	1	4	yes	complemented
1728	#123	C₂²×D₆₇	1	4	yes	complemented
1729	C₂²⋊Q₈	—	67	2	no	—
1730	C₂²⋊Q₈	—	67	1	no	—
1731	C₂²⋊Q₈	—	67	1	no	—
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	2	no	—
1737	C₂²⋊Q₈	—	67	4	no	—
1738	C₂²⋊Q₈	—	67	4	no	—
1739	C₂²⋊Q₈	—	67	4	no	—
1740	C₂²⋊Q₈	—	67	2	no	—
1741	C₂²⋊Q₈	—	67	1	no	—
1742	C₂²⋊Q₈	—	67	1	no	—
1743	C₂²⋊Q₈	—	67	2	no	—
1744	C₂²⋊Q₈	—	67	2	no	—
1745	C₂²⋊Q₈	—	67	2	no	—
1746	C₂²⋊Q₈	—	67	2	no	—
1747	C₂²⋊Q₈	—	67	4	no	—
1748	C₂²⋊Q₈	—	67	4	no	—
1749	C₂²⋊Q₈	—	67	2	no	—
1750	C₂²⋊Q₈	—	67	2	no	—
1751	C₂²⋊Q₈	—	67	1	no	—
1752	C₂²⋊Q₈	—	67	1	no	—
1753	C₂²⋊Q₈	—	67	2	no	—
1754	C₂²⋊Q₈	—	67	2	no	—
1755	C₂²⋊Q₈	—	67	2	no	—
1756	C₂²⋊Q₈	—	67	2	no	—
1757	C₂²⋊Q₈	—	67	2	no	—
1758	C₂²⋊Q₈	—	67	4	no	—
1759	C₂²⋊Q₈	—	67	4	no	—
1760	C₂²⋊Q₈	—	67	4	no	—
1761	C₂²⋊Q₈	—	67	4	no	—
1762	C₂²⋊Q₈	—	67	4	no	—
1763	C₂²⋊Q₈	—	67	4	no	—
1764	C₂²⋊Q₈	—	67	4	no	—
1765	C₂²⋊Q₈	—	67	2	no	—
1766	C₂²⋊Q₈	—	67	2	no	—
1767	C₂²⋊Q₈	—	67	4	no	—
1768	C₂²⋊Q₈	—	67	4	no	—
1769	C₂²⋊Q₈	—	67	4	no	—
1770	C₂²⋊Q₈	—	67	4	no	—
1771	C₂²⋊Q₈	—	67	4	no	—
1772	C₂²⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic
1773	C₂²⋊Q₈	C₂²×D₆₇	1	1	yes	characteristic
1774	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1775	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1776	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1777	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1778	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	—
1779	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1780	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1781	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1782	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1783	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1784	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1785	#121	—	67	2	no	—
1786	#121	—	67	2	no	—
1787	#121	—	67	1	no	—
1788	#121	—	67	1	no	—
1789	#121	—	67	2	no	—
1790	#121	—	67	2	no	—
1791	#121	—	67	2	no	—
1792	#121	—	67	2	no	—
1793	#121	—	67	2	no	—
1794	#121	—	67	4	no	—
1795	#121	—	67	4	no	—
1796	#121	—	67	4	no	—
1797	#121	—	67	4	no	—
1798	#121	—	67	4	no	—
1799	#121	—	67	4	no	—
1800	#121	—	67	4	no	—
1801	#121	—	67	4	no	—
1802	#121	—	67	4	no	—
1803	#121	—	67	4	no	—
1804	#121	—	67	4	no	—
1805	#121	—	67	4	no	—
1806	#121	—	67	4	no	—
1807	#121	—	67	4	no	—
1808	#121	—	67	1	no	—
1809	#121	—	67	1	no	—
1810	#121	—	67	2	no	—
1811	#121	—	67	2	no	—
1812	#121	—	67	2	no	—
1813	#121	—	67	2	no	—
1814	#121	—	67	4	no	—
1815	#121	—	67	4	no	—
1816	#121	—	67	2	no	—
1817	#121	—	67	4	no	—
1818	#121	—	67	4	no	—
1819	#121	—	67	4	no	—
1820	#121	—	67	4	no	—
1821	#121	—	67	4	no	—
1822	#121	—	67	4	no	—
1823	#121	—	67	4	no	—
1824	#121	—	67	2	no	—
1825	#121	—	67	1	no	—
1826	#121	—	67	1	no	—
1827	#121	—	67	2	no	—
1828	#121	—	67	2	no	—
1829	#121	—	67	2	no	—
1830	#121	—	67	4	no	—
1831	#121	—	67	2	no	—
1832	#121	—	67	4	no	—
1833	#121	—	67	4	no	—
1834	#121	—	67	2	no	—
1835	#121	—	67	2	no	—
1836	#121	—	67	4	no	—
1837	#121	—	67	4	no	—
1838	#121	—	67	4	no	—
1839	#121	—	67	4	no	—
1840	#121	—	67	4	no	—
1841	#121	—	67	4	no	—
1842	#121	—	67	4	no	—
1843	#121	—	67	4	no	—
1844	#121	—	67	4	no	—
1845	#121	C₂²×D₆₇	1	1	yes	characteristic
1846	#121	C₂²×D₆₇	1	1	yes	characteristic
1847	#121	C₂²×D₆₇	1	2	yes	—
1848	#121	C₂²×D₆₇	1	2	yes	—
1849	#121	C₂²×D₆₇	1	2	yes	—
1850	#121	C₂²×D₆₇	1	2	yes	—
1851	#121	C₂²×D₆₇	1	4	yes	—
1852	#121	C₂²×D₆₇	1	4	yes	—
1853	#121	C₂²×D₆₇	1	4	yes	—
1854	#121	C₂²×D₆₇	1	2	yes	complemented
1855	#121	C₂²×D₆₇	1	4	yes	complemented
1856	#121	C₂²×D₆₇	1	4	yes	complemented
1857	#120	—	67	2	no	—
1858	#120	—	67	4	no	—
1859	#120	—	67	4	no	—
1860	#120	—	67	4	no	—
1861	#120	—	67	2	no	—
1862	#120	—	67	2	no	—
1863	#120	—	67	4	no	—
1864	#120	—	67	2	no	—
1865	#120	—	67	4	no	—
1866	#120	—	67	4	no	—
1867	#120	—	67	4	no	—
1868	#120	—	67	4	no	—
1869	#120	—	67	4	no	—
1870	#120	—	67	4	no	—
1871	#120	—	67	4	no	—
1872	#120	—	67	2	no	—
1873	#120	—	67	2	no	—
1874	#120	—	67	4	no	—
1875	#120	—	67	4	no	—
1876	#120	—	67	4	no	—
1877	#120	—	67	4	no	—
1878	#120	—	67	2	no	—
1879	#120	—	67	4	no	—
1880	#120	—	67	4	no	—
1881	#120	—	67	4	no	—
1882	#120	—	67	4	no	—
1883	#120	—	67	4	no	—
1884	#120	—	67	4	no	—
1885	#120	C₂²×D₆₇	1	2	yes	—
1886	#120	C₂²×D₆₇	1	4	yes	—
1887	C₄×Q₈	—	67	4	no	—
1888	C₄×Q₈	—	67	2	no	—
1889	C₄×Q₈	—	67	4	no	—
1890	C₄×Q₈	—	67	4	no	—
1891	C₄×Q₈	—	67	2	no	—
1892	C₄×Q₈	—	67	2	no	—
1893	C₄×Q₈	—	67	4	no	—
1894	C₄×Q₈	C₂²×D₆₇	1	2	yes	complemented
1895	C₄×D₄	—	67	4	no	—
1896	C₄×D₄	—	67	2	no	—
1897	C₄×D₄	—	67	2	no	—
1898	C₄×D₄	—	67	4	no	—
1899	C₄×D₄	—	67	4	no	—
1900	C₄×D₄	—	67	4	no	—
1901	C₄×D₄	—	67	4	no	—
1902	C₄×D₄	—	67	4	no	—
1903	C₄×D₄	—	67	4	no	—
1904	C₄×D₄	—	67	4	no	—
1905	C₄×D₄	—	67	2	no	—
1906	C₄×D₄	—	67	2	no	—
1907	C₄×D₄	—	67	2	no	—
1908	C₄×D₄	—	67	2	no	—
1909	C₄×D₄	—	67	2	no	—
1910	C₄×D₄	—	67	4	no	—
1911	C₄×D₄	—	67	4	no	—
1912	C₄×D₄	—	67	4	no	—
1913	C₄×D₄	—	67	4	no	—
1914	C₄×D₄	—	67	4	no	—
1915	C₄×D₄	—	67	2	no	—
1916	C₄×D₄	—	67	2	no	—
1917	C₄×D₄	—	67	4	no	—
1918	C₄×D₄	—	67	4	no	—
1919	C₄×D₄	—	67	4	no	—
1920	C₄×D₄	—	67	4	no	—
1921	C₄×D₄	—	67	4	no	—
1922	C₄×D₄	—	67	4	no	—
1923	C₄×D₄	—	67	2	no	—
1924	C₄×D₄	—	67	2	no	—
1925	C₄×D₄	—	67	2	no	—
1926	C₄×D₄	—	67	4	no	—
1927	C₄×D₄	—	67	4	no	—
1928	C₄×D₄	—	67	4	no	—
1929	C₄×D₄	—	67	4	no	—
1930	C₄×D₄	—	67	4	no	—
1931	C₄×D₄	—	67	2	no	—
1932	C₄×D₄	—	67	2	no	—
1933	C₄×D₄	—	67	4	no	—
1934	C₄×D₄	—	67	4	no	—
1935	C₄×D₄	—	67	4	no	—
1936	C₄×D₄	—	67	4	no	—
1937	C₄×D₄	—	67	4	no	—
1938	C₄×D₄	—	67	4	no	—
1939	C₄×D₄	—	67	4	no	—
1940	C₄×D₄	—	67	4	no	—
1941	C₄×D₄	—	67	4	no	—
1942	C₄×D₄	—	67	4	no	—
1943	C₄×D₄	—	67	4	no	—
1944	C₄×D₄	—	67	4	no	—
1945	C₄×D₄	—	67	2	no	—
1946	C₄×D₄	—	67	2	no	—
1947	C₄×D₄	—	67	4	no	—
1948	C₄×D₄	—	67	4	no	—
1949	C₄×D₄	—	67	2	no	—
1950	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1951	C₄×D₄	C₂²×D₆₇	1	2	yes	—
1952	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1953	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1954	C₄×D₄	C₂²×D₆₇	1	2	yes	complemented
1955	#117	—	67	1	no	—
1956	#117	—	67	4	no	—
1957	#117	—	67	4	no	—
1958	#117	—	67	4	no	—
1959	#117	—	67	2	no	—
1960	#117	—	67	2	no	—
1961	#117	—	67	2	no	—
1962	#117	—	67	2	no	—
1963	#117	—	67	1	no	—
1964	#117	—	67	1	no	—
1965	#117	—	67	4	no	—
1966	#117	—	67	2	no	—
1967	#117	—	67	2	no	—
1968	#117	—	67	2	no	—
1969	#117	—	67	2	no	—
1970	#117	—	67	4	no	—
1971	#117	—	67	2	no	—
1972	#117	—	67	2	no	—
1973	#117	—	67	4	no	—
1974	#117	—	67	4	no	—
1975	#117	—	67	2	no	—
1976	#117	—	67	4	no	—
1977	#117	—	67	4	no	—
1978	#117	—	67	4	no	—
1979	#117	—	67	2	no	—
1980	#117	C₂²×D₆₇	1	1	yes	characteristic
1981	C₂×C₄⋊C₄	—	67	1	no	—
1982	C₂×C₄⋊C₄	—	67	1	no	—
1983	C₂×C₄⋊C₄	—	67	2	no	—
1984	C₂×C₄⋊C₄	—	67	2	no	—
1985	C₂×C₄⋊C₄	—	67	2	no	—
1986	C₂×C₄⋊C₄	—	67	2	no	—
1987	C₂×C₄⋊C₄	—	67	4	no	—
1988	C₂×C₄⋊C₄	—	67	1	no	—
1989	C₂×C₄⋊C₄	—	67	1	no	—
1990	C₂×C₄⋊C₄	—	67	2	no	—
1991	C₂×C₄⋊C₄	—	67	2	no	—
1992	C₂×C₄⋊C₄	—	67	4	no	—
1993	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1994	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1995	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	—
1996	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
1997	C₂×C₂²⋊C₄	—	67	2	no	—
1998	C₂×C₂²⋊C₄	—	67	2	no	—
1999	C₂×C₂²⋊C₄	—	67	2	no	—
2000	C₂×C₂²⋊C₄	—	67	2	no	—
2001	C₂×C₂²⋊C₄	—	67	4	no	—
2002	C₂×C₂²⋊C₄	—	67	2	no	—
2003	C₂×C₂²⋊C₄	—	67	2	no	—
2004	C₂×C₂²⋊C₄	—	67	2	no	—
2005	C₂×C₂²⋊C₄	—	67	2	no	—
2006	C₂×C₂²⋊C₄	—	67	4	no	—
2007	C₂×C₂²⋊C₄	—	67	2	no	—
2008	C₂×C₂²⋊C₄	—	67	2	no	—
2009	C₂×C₂²⋊C₄	—	67	2	no	—
2010	C₂×C₂²⋊C₄	—	67	2	no	—
2011	C₂×C₂²⋊C₄	—	67	2	no	—
2012	C₂×C₂²⋊C₄	—	67	4	no	—
2013	C₂×C₂²⋊C₄	—	67	4	no	—
2014	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2015	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
2016	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
2017	C₂×C₄²	—	67	2	no	—
2018	C₂×C₄²	—	67	2	no	—
2019	C₂×C₄²	—	67	4	no	—
2020	C₂×C₄²	—	67	4	no	—
2021	C₂×C₄²	—	67	2	no	—
2022	C₂×C₄²	—	67	4	no	—
2023	C₂⁴	—	268	2	no	—
2024	C₂⁴	—	268	2	no	—
2025	C₂⁴	—	268	2	no	—
2026	C₂⁴	—	67	4	no	—
2027	C₂⁴	—	67	1	no	—
2028	C₂⁴	—	67	2	no	—
2029	C₂⁴	—	67	2	no	—
2030	C₂⁴	—	67	1	no	—
2031	C₂⁴	—	67	1	no	—
2032	C₂⁴	—	67	1	no	—
2033	C₂⁴	—	67	1	no	—
2034	C₂⁴	—	67	1	no	—
2035	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2036	C₂⁴	C₂³×D₆₇	1	2	yes	—
2037	#41	—	4	2	no	—
2038	#41	—	4	8	no	—
2039	#41	—	4	4	no	—
2040	#41	—	268	4	no	—
2041	#41	—	268	2	no	—
2042	#41	—	268	4	no	—
2043	#41	—	268	8	no	—
2044	#41	—	268	4	no	—
2045	#41	—	268	8	no	—
2046	#41	—	268	4	no	—
2047	#41	—	268	4	no	—
2048	#41	—	268	4	no	—
2049	#41	—	268	4	no	—
2050	#41	—	268	4	no	—
2051	#41	—	268	2	no	—
2052	#41	—	268	8	no	—
2053	#41	—	268	2	no	—
2054	#41	—	268	4	no	—
2055	#41	—	134	8	no	—
2056	#41	—	134	8	no	—
2057	C₂×Q₈	—	4	2	no	—
2058	C₂×Q₈	—	268	2	no	—
2059	C₂×Q₈	—	268	4	no	—
2060	C₂×Q₈	—	268	2	no	—
2061	C₂×Q₈	—	67	4	no	—
2062	C₂×Q₈	—	67	2	no	—
2063	C₂×Q₈	—	67	2	no	—
2064	C₂×Q₈	—	67	1	no	—
2065	C₂×Q₈	—	67	4	no	—
2066	C₂×Q₈	—	67	2	no	—
2067	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2068	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
2069	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2070	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2071	C₂×D₄	—	4	2	no	—
2072	C₂×D₄	—	4	4	no	—
2073	C₂×D₄	—	268	4	no	—
2074	C₂×D₄	—	268	2	no	—
2075	C₂×D₄	—	268	4	no	—
2076	C₂×D₄	—	268	8	no	—
2077	C₂×D₄	—	268	4	no	—
2078	C₂×D₄	—	268	4	no	—
2079	C₂×D₄	—	268	8	no	—
2080	C₂×D₄	—	268	8	no	—
2081	C₂×D₄	—	268	4	no	—
2082	C₂×D₄	—	268	4	no	—
2083	C₂×D₄	—	268	4	no	—
2084	C₂×D₄	—	268	2	no	—
2085	C₂×D₄	—	268	4	no	—
2086	C₂×D₄	—	268	4	no	—
2087	C₂×D₄	—	67	4	no	—
2088	C₂×D₄	—	67	4	no	—
2089	C₂×D₄	—	67	4	no	—
2090	C₂×D₄	—	67	4	no	—
2091	C₂×D₄	—	67	4	no	—
2092	C₂×D₄	—	67	2	no	—
2093	C₂×D₄	—	67	2	no	—
2094	C₂×D₄	—	67	4	no	—
2095	C₂×D₄	—	67	4	no	—
2096	C₂×D₄	—	67	2	no	—
2097	C₂×D₄	—	67	4	no	—
2098	C₂×D₄	—	67	2	no	—
2099	C₂×D₄	—	67	2	no	—
2100	C₂×D₄	—	67	4	no	—
2101	C₂×D₄	—	67	4	no	—
2102	C₂×D₄	—	67	4	no	—
2103	C₂×D₄	—	67	2	no	—
2104	C₂×D₄	—	67	2	no	—
2105	C₂×D₄	—	67	4	no	—
2106	C₂×D₄	—	67	2	no	—
2107	C₂×D₄	—	67	2	no	—
2108	C₂×D₄	—	67	4	no	—
2109	C₂×D₄	—	67	4	no	—
2110	C₂×D₄	—	67	4	no	—
2111	C₂×D₄	—	67	2	no	—
2112	C₂×D₄	—	67	1	no	—
2113	C₂×D₄	—	67	4	no	—
2114	C₂×D₄	—	67	2	no	—
2115	C₂×D₄	—	67	4	no	—
2116	C₂×D₄	—	67	2	no	—
2117	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2118	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2119	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2120	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2121	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2122	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2123	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2124	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2125	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2126	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2127	C₂²×C₄	—	4	2	no	—
2128	C₂²×C₄	—	268	2	no	—
2129	C₂²×C₄	—	268	2	no	—
2130	C₂²×C₄	—	268	2	no	—
2131	C₂²×C₄	—	268	2	no	—
2132	C₂²×C₄	—	268	2	no	—
2133	C₂²×C₄	—	268	2	no	—
2134	C₂²×C₄	—	268	2	no	—
2135	C₂²×C₄	—	268	2	no	—
2136	C₂²×C₄	—	268	2	no	—
2137	C₂²×C₄	—	268	4	no	—
2138	C₂²×C₄	—	268	8	no	—
2139	C₂²×C₄	—	268	2	no	—
2140	C₂²×C₄	—	268	4	no	—
2141	C₂²×C₄	—	67	2	no	—
2142	C₂²×C₄	—	67	4	no	—
2143	C₂²×C₄	—	67	4	no	—
2144	C₂²×C₄	—	67	1	no	—
2145	C₂²×C₄	—	67	1	no	—
2146	C₂²×C₄	—	67	2	no	—
2147	C₂²×C₄	—	67	4	no	—
2148	C₂²×C₄	—	67	1	no	—
2149	C₂²×C₄	—	67	2	no	—
2150	C₂²×C₄	—	67	2	no	—
2151	C₂²×C₄	—	67	4	no	—
2152	C₂²×C₄	—	67	4	no	—
2153	C₂²×C₄	—	67	4	no	—
2154	C₂²×C₄	—	67	4	no	—
2155	C₂²×C₄	—	67	1	no	—
2156	C₂²×C₄	—	67	1	no	—
2157	C₂²×C₄	—	67	1	no	—
2158	C₂²×C₄	—	67	1	no	—
2159	C₂²×C₄	—	67	4	no	—
2160	C₂²×C₄	—	67	1	no	—
2161	C₂²×C₄	—	67	1	no	—
2162	C₂²×C₄	—	67	1	no	—
2163	C₂²×C₄	—	67	1	no	—
2164	C₂²×C₄	—	67	1	no	—
2165	C₂²×C₄	—	67	2	no	—
2166	C₂²×C₄	—	67	2	no	—
2167	C₂²×C₄	—	67	4	no	—
2168	C₂²×C₄	—	67	1	no	—
2169	C₂²×C₄	—	67	4	no	—
2170	C₂²×C₄	—	67	1	no	—
2171	C₂²×C₄	—	67	1	no	—
2172	C₂²×C₄	—	67	2	no	—
2173	C₂²×C₄	—	67	1	no	—
2174	C₂²×C₄	—	67	1	no	—
2175	C₂²×C₄	—	67	1	no	—
2176	C₂²×C₄	—	67	2	no	—
2177	C₂²×C₄	—	67	1	no	—
2178	C₂²×C₄	—	67	1	no	—
2179	C₂²×C₄	—	67	1	no	—
2180	C₂²×C₄	—	67	2	no	—
2181	C₂²×C₄	—	67	1	no	—
2182	C₂²×C₄	—	134	4	no	—
2183	C₂²×C₄	—	134	4	no	—
2184	C₂²×C₄	—	134	4	no	—
2185	C₂²×C₄	—	134	8	no	—
2186	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2187	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2188	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2189	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2190	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2191	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2192	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2193	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2194	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2195	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2196	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2197	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2198	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2199	C₄⋊C₄	—	67	2	no	—
2200	C₄⋊C₄	—	67	2	no	—
2201	C₄⋊C₄	—	67	2	no	—
2202	C₄⋊C₄	—	67	2	no	—
2203	C₄⋊C₄	—	67	4	no	—
2204	C₄⋊C₄	—	67	4	no	—
2205	C₄⋊C₄	—	67	2	no	—
2206	C₄⋊C₄	—	67	2	no	—
2207	C₄⋊C₄	—	67	2	no	—
2208	C₄⋊C₄	—	67	2	no	—
2209	C₄⋊C₄	—	67	2	no	—
2210	C₄⋊C₄	—	67	4	no	—
2211	C₄⋊C₄	—	67	2	no	—
2212	C₄⋊C₄	—	67	1	no	—
2213	C₄⋊C₄	—	67	1	no	—
2214	C₄⋊C₄	—	67	2	no	—
2215	C₄⋊C₄	—	67	2	no	—
2216	C₄⋊C₄	—	67	4	no	—
2217	C₄⋊C₄	—	67	4	no	—
2218	C₄⋊C₄	—	67	4	no	—
2219	C₄⋊C₄	—	67	4	no	—
2220	C₄⋊C₄	—	67	4	no	—
2221	C₄⋊C₄	—	67	4	no	—
2222	C₄⋊C₄	—	67	4	no	—
2223	C₄⋊C₄	—	67	4	no	—
2224	C₄⋊C₄	—	67	4	no	—
2225	C₄⋊C₄	—	67	4	no	—
2226	C₄⋊C₄	—	67	4	no	—
2227	C₄⋊C₄	—	67	4	no	—
2228	C₄⋊C₄	—	67	4	no	—
2229	C₄⋊C₄	—	67	4	no	—
2230	C₄⋊C₄	—	67	4	no	—
2231	C₄⋊C₄	—	67	4	no	—
2232	C₄⋊C₄	—	67	4	no	—
2233	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2234	C₄⋊C₄	C₂³×D₆₇	1	1	yes	characteristic
2235	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2236	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2237	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2238	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2239	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2240	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2241	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
2242	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2243	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2244	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2245	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2246	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2247	C₂²⋊C₄	—	67	4	no	—
2248	C₂²⋊C₄	—	67	4	no	—
2249	C₂²⋊C₄	—	67	2	no	—
2250	C₂²⋊C₄	—	67	2	no	—
2251	C₂²⋊C₄	—	67	2	no	—
2252	C₂²⋊C₄	—	67	2	no	—
2253	C₂²⋊C₄	—	67	2	no	—
2254	C₂²⋊C₄	—	67	4	no	—
2255	C₂²⋊C₄	—	67	4	no	—
2256	C₂²⋊C₄	—	67	4	no	—
2257	C₂²⋊C₄	—	67	4	no	—
2258	C₂²⋊C₄	—	67	4	no	—
2259	C₂²⋊C₄	—	67	2	no	—
2260	C₂²⋊C₄	—	67	2	no	—
2261	C₂²⋊C₄	—	67	4	no	—
2262	C₂²⋊C₄	—	67	4	no	—
2263	C₂²⋊C₄	—	67	4	no	—
2264	C₂²⋊C₄	—	67	4	no	—
2265	C₂²⋊C₄	—	67	4	no	—
2266	C₂²⋊C₄	—	67	4	no	—
2267	C₂²⋊C₄	—	67	4	no	—
2268	C₂²⋊C₄	—	67	2	no	—
2269	C₂²⋊C₄	—	67	2	no	—
2270	C₂²⋊C₄	—	67	2	no	—
2271	C₂²⋊C₄	—	67	2	no	—
2272	C₂²⋊C₄	—	67	2	no	—
2273	C₂²⋊C₄	—	67	2	no	—
2274	C₂²⋊C₄	—	67	4	no	—
2275	C₂²⋊C₄	—	67	4	no	—
2276	C₂²⋊C₄	—	67	4	no	—
2277	C₂²⋊C₄	—	67	4	no	—
2278	C₂²⋊C₄	—	67	4	no	—
2279	C₂²⋊C₄	—	67	4	no	—
2280	C₂²⋊C₄	—	67	2	no	—
2281	C₂²⋊C₄	—	67	2	no	—
2282	C₂²⋊C₄	—	67	4	no	—
2283	C₂²⋊C₄	—	67	4	no	—
2284	C₂²⋊C₄	—	67	4	no	—
2285	C₂²⋊C₄	—	67	4	no	—
2286	C₂²⋊C₄	—	67	4	no	—
2287	C₂²⋊C₄	—	67	4	no	—
2288	C₂²⋊C₄	—	67	4	no	—
2289	C₂²⋊C₄	—	67	4	no	—
2290	C₂²⋊C₄	—	67	4	no	—
2291	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2292	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2293	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2294	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2295	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2296	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2297	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2298	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2299	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2300	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2301	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2302	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2303	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2304	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2305	C₄²	—	67	4	no	—
2306	C₄²	—	67	4	no	—
2307	C₄²	—	67	2	no	—
2308	C₄²	—	67	2	no	—
2309	C₄²	—	67	4	no	—
2310	C₄²	—	67	4	no	—
2311	C₄²	—	67	4	no	—
2312	C₄²	—	67	2	no	—
2313	C₄²	—	67	4	no	—
2314	C₄²	—	67	4	no	—
2315	C₄²	—	67	4	no	—
2316	C₄²	—	67	4	no	—
2317	C₄²	C₂³×D₆₇	1	2	yes	—
2318	C₄²	C₂³×D₆₇	1	4	yes	—
2319	C₂³	—	2	2	no	—
2320	C₂³	—	2	2	no	—
2321	C₂³	—	2	4	no	—
2322	C₂³	—	4	1	no	—
2323	C₂³	—	4	2	no	—
2324	C₂³	—	4	2	no	—
2325	C₂³	—	268	1	no	—
2326	C₂³	—	268	1	no	—
2327	C₂³	—	268	1	no	—
2328	C₂³	—	268	1	no	—
2329	C₂³	—	268	1	no	—
2330	C₂³	—	268	1	no	—
2331	C₂³	—	268	1	no	—
2332	C₂³	—	268	1	no	—
2333	C₂³	—	268	1	no	—
2334	C₂³	—	268	1	no	—
2335	C₂³	—	268	1	no	—
2336	C₂³	—	268	2	no	—
2337	C₂³	—	268	4	no	—
2338	C₂³	—	268	2	no	—
2339	C₂³	—	268	2	no	—
2340	C₂³	—	268	4	no	—
2341	C₂³	—	268	2	no	—
2342	C₂³	—	268	4	no	—
2343	C₂³	—	268	16	no	—
2344	C₂³	—	67	1	no	—
2345	C₂³	—	67	1	no	—
2346	C₂³	—	67	1	no	—
2347	C₂³	—	67	1	no	—
2348	C₂³	—	67	2	no	—
2349	C₂³	—	67	4	no	—
2350	C₂³	—	134	2	no	—
2351	C₂³	—	134	2	no	—
2352	C₂³	—	134	2	no	—
2353	C₂³	—	134	4	no	—
2354	C₂³	—	134	2	no	—
2355	C₂³	—	134	2	no	—
2356	C₂³	—	134	2	no	—
2357	C₂³	—	134	2	no	—
2358	C₂³	—	134	4	no	—
2359	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2360	C₂³	C₂⁴×D₆₇	1	4	yes	—
2361	C₂³	C₂⁴×D₆₇	1	2	yes	—
2362	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2363	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2364	Q₈	—	2	4	no	—
2365	Q₈	—	4	2	no	—
2366	Q₈	—	4	1	no	—
2367	Q₈	—	4	4	no	—
2368	Q₈	—	268	2	no	—
2369	Q₈	—	268	2	no	—
2370	Q₈	—	268	1	no	—
2371	Q₈	—	268	4	no	—
2372	Q₈	—	268	4	no	—
2373	Q₈	—	134	4	no	—
2374	D₄	—	2	8	no	—
2375	D₄	—	2	4	no	—
2376	D₄	—	2	4	no	—
2377	D₄	—	2	4	no	—
2378	D₄	—	4	2	no	—
2379	D₄	—	4	4	no	—
2380	D₄	—	4	2	no	—
2381	D₄	—	4	1	no	—
2382	D₄	—	4	4	no	—
2383	D₄	—	4	4	no	—
2384	D₄	—	268	1	no	—
2385	D₄	—	268	2	no	—
2386	D₄	—	268	2	no	—
2387	D₄	—	268	4	no	—
2388	D₄	—	268	4	no	—
2389	D₄	—	268	4	no	—
2390	D₄	—	268	4	no	—
2391	D₄	—	268	2	no	—
2392	D₄	—	268	2	no	—
2393	D₄	—	268	2	no	—
2394	D₄	—	268	4	no	—
2395	D₄	—	268	4	no	—
2396	D₄	—	268	2	no	—
2397	D₄	—	268	2	no	—
2398	D₄	—	268	4	no	—
2399	D₄	—	268	2	no	—
2400	D₄	—	268	4	no	—
2401	D₄	—	268	2	no	—
2402	D₄	—	268	4	no	—
2403	D₄	—	268	4	no	—
2404	D₄	—	268	4	no	—
2405	D₄	—	268	4	no	—
2406	D₄	—	268	4	no	—
2407	D₄	—	268	4	no	—
2408	D₄	—	134	8	no	—
2409	D₄	—	134	8	no	—
2410	D₄	—	134	4	no	—
2411	D₄	—	134	4	no	—
2412	D₄	—	134	8	no	—
2413	D₄	—	134	4	no	—
2414	C₂×C₄	—	2	4	no	—
2415	C₂×C₄	—	2	2	no	—
2416	C₂×C₄	—	2	2	no	—
2417	C₂×C₄	—	2	2	no	—
2418	C₂×C₄	—	2	4	no	—
2419	C₂×C₄	—	4	1	no	—
2420	C₂×C₄	—	4	1	no	—
2421	C₂×C₄	—	4	1	no	—
2422	C₂×C₄	—	4	2	no	—
2423	C₂×C₄	—	4	4	no	—
2424	C₂×C₄	—	4	2	no	—
2425	C₂×C₄	—	4	4	no	—
2426	C₂×C₄	—	4	4	no	—
2427	C₂×C₄	—	268	1	no	—
2428	C₂×C₄	—	268	1	no	—
2429	C₂×C₄	—	268	1	no	—
2430	C₂×C₄	—	268	1	no	—
2431	C₂×C₄	—	268	1	no	—
2432	C₂×C₄	—	268	1	no	—
2433	C₂×C₄	—	268	4	no	—
2434	C₂×C₄	—	268	4	no	—
2435	C₂×C₄	—	268	4	no	—
2436	C₂×C₄	—	268	4	no	—
2437	C₂×C₄	—	268	2	no	—
2438	C₂×C₄	—	268	2	no	—
2439	C₂×C₄	—	268	4	no	—
2440	C₂×C₄	—	268	1	no	—
2441	C₂×C₄	—	268	1	no	—
2442	C₂×C₄	—	268	1	no	—
2443	C₂×C₄	—	268	2	no	—
2444	C₂×C₄	—	268	4	no	—
2445	C₂×C₄	—	268	4	no	—
2446	C₂×C₄	—	268	2	no	—
2447	C₂×C₄	—	268	4	no	—
2448	C₂×C₄	—	67	1	no	—
2449	C₂×C₄	—	67	4	no	—
2450	C₂×C₄	—	67	4	no	—
2451	C₂×C₄	—	67	4	no	—
2452	C₂×C₄	—	67	2	no	—
2453	C₂×C₄	—	67	2	no	—
2454	C₂×C₄	—	67	1	no	—
2455	C₂×C₄	—	67	1	no	—
2456	C₂×C₄	—	67	2	no	—
2457	C₂×C₄	—	67	4	no	—
2458	C₂×C₄	—	67	1	no	—
2459	C₂×C₄	—	134	2	no	—
2460	C₂×C₄	—	134	2	no	—
2461	C₂×C₄	—	134	4	no	—
2462	C₂×C₄	—	134	2	no	—
2463	C₂×C₄	—	134	8	no	—
2464	C₂×C₄	—	134	2	no	—
2465	C₂×C₄	—	134	2	no	—
2466	C₂×C₄	—	134	2	no	—
2467	C₂×C₄	—	134	4	no	—
2468	C₂×C₄	—	134	2	no	—
2469	C₂×C₄	—	134	2	no	—
2470	C₂×C₄	—	134	2	no	—
2471	C₂×C₄	—	134	8	no	—
2472	C₂×C₄	—	134	4	no	—
2473	C₂×C₄	—	134	4	no	—
2474	C₂×C₄	—	134	2	no	—
2475	C₂×C₄	—	134	2	no	—
2476	C₂×C₄	—	134	2	no	—
2477	C₂×C₄	—	134	4	no	—
2478	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2479	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2480	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2481	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2482	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2483	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2484	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
2485	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2486	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2487	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2488	C₂²	—	2	1	no	—
2489	C₂²	—	2	1	no	—
2490	C₂²	—	2	1	no	—
2491	C₂²	—	2	1	no	—
2492	C₂²	—	2	1	no	—
2493	C₂²	—	2	2	no	—
2494	C₂²	—	2	4	no	—
2495	C₂²	—	2	2	no	—
2496	C₂²	—	2	4	no	—
2497	C₂²	—	2	1	no	—
2498	C₂²	—	2	2	no	—
2499	C₂²	—	2	4	no	—
2500	C₂²	—	2	1	no	—
2501	C₂²	—	4	4	no	—
2502	C₂²	—	8	4	no	—
2503	C₂²	—	268	4	no	—
2504	C₂²	—	268	4	no	—
2505	C₂²	—	268	4	no	—
2506	C₂²	—	268	4	no	—
2507	C₂²	—	268	4	no	—
2508	C₂²	—	268	4	no	—
2509	C₂²	—	536	4	no	—
2510	C₂²	—	536	8	no	—
2511	C₂²	—	536	4	no	—
2512	C₂²	—	67	2	no	—
2513	C₂²	—	134	1	no	—
2514	C₂²	—	134	1	no	—
2515	C₂²	—	134	1	no	—
2516	C₂²	—	134	2	no	—
2517	C₂²	—	134	4	no	—
2518	C₂²	—	134	4	no	—
2519	C₂²	—	134	1	no	—
2520	C₂²	—	134	1	no	—
2521	C₂²	—	134	1	no	—
2522	C₂²	—	134	2	no	—
2523	C₂²	—	134	4	no	—
2524	C₂²	—	134	1	no	—
2525	C₂²	—	134	1	no	—
2526	C₂²	—	134	1	no	—
2527	C₂²	—	134	2	no	—
2528	C₂²	—	134	1	no	—
2529	C₂²	—	134	1	no	—
2530	C₂²	#16864231	1	2	yes	—
2531	C₂²	#16864233	1	2	yes	—
2532	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2533	C₄	—	2	1	no	—
2534	C₄	—	2	1	no	—
2535	C₄	—	2	2	no	—
2536	C₄	—	2	1	no	—
2537	C₄	—	2	4	no	—
2538	C₄	—	2	4	no	—
2539	C₄	—	2	4	no	—
2540	C₄	—	2	2	no	—
2541	C₄	—	2	2	no	—
2542	C₄	—	67	2	no	—
2543	C₄	—	134	1	no	—
2544	C₄	—	134	1	no	—
2545	C₄	—	134	1	no	—
2546	C₄	—	134	4	no	—
2547	C₄	—	134	2	no	—
2548	C₄	—	134	2	no	—
2549	C₄	—	134	2	no	—
2550	C₄	—	134	4	no	—
2551	C₄	—	134	4	no	—
2552	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
2553	C₂	—	2	2	no	—
2554	C₂	—	2	2	no	—
2555	C₂	—	4	1	no	—
2556	C₂	—	4	4	no	—
2557	C₂	—	4	2	no	—
2558	C₂	—	268	1	no	—
2559	C₂	—	268	1	no	—
2560	C₂	—	268	1	no	—
2561	C₂	—	268	2	no	—
2562	C₂	—	268	4	no	—
2563	C₂	—	134	2	no	—
2564	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
2565	C₂	C₂×#16864231	1	1	yes	characteristic
2566	C₂	C₂×#16864233	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3536	C₂
hypercenter	#3536	D₆₇
hypocenter	C₆₇	#62729
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3536

Complements

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

N	H ≅ G/N	type
1. #22574526	C₂	semidirect
2. #22574511	C₂	semidirect
3. #22574503	C₂	semidirect
4. #22574488	C₂	semidirect
5. #22574481	C₂	semidirect
6. #22574462	C₂	semidirect
7. #22574454	C₂	semidirect
8. #22574444	C₂	semidirect
9. #22574436	C₂	semidirect
10. #22574423	C₂	semidirect
11. #22574415	C₂	semidirect
12. #22574400	C₂	semidirect
13. #22574388	C₂	semidirect
14. #22574371	C₂	semidirect
15. #22574358	C₂	semidirect
16. #22574346	C₂	semidirect
17. #22573814	C₂	semidirect
18. #22573775	C₂	semidirect
19. #22573772	C₂	semidirect
20. #22573698	C₂	semidirect
21. #22573693	C₂	semidirect
22. #22573628	C₂	semidirect
23. #22573626	C₂	semidirect
24. #22573621	C₂	semidirect
25. #22573617	C₂	semidirect
26. #22573596	C₂	semidirect
27. #22573537	C₂	semidirect
28. C₂×#16863909	C₂	semidirect
29. C₂×#16863906	C₂	semidirect
30. #525×D₆₇	C₂	semidirect
31. C₆₇×#3536	C₂	semidirect
32. C₂²×#11761629	C₂²	semidirect
33. C₂²×#11761627	C₂²	semidirect
34. C₂×#41×D₆₇	C₂²	semidirect
35. C₂×#41×D₆₇	C₂²	semidirect
36. C₂³×C₄×D₆₇	C₂²	semidirect
37. #16864150	C₂²	semidirect
38. #16864147	C₂²	semidirect
39. #16864147	C₂²	semidirect
40. #16864143	C₂²	semidirect
41. #16864143	C₂²	semidirect
42. #16864142	C₂²	semidirect
43. #16864142	C₂²	semidirect
44. #16864140	C₂²	semidirect
45. #16864138	C₂²	semidirect
46. #16864136	C₂²	semidirect
47. #16864136	C₂²	semidirect
48. #16864134	C₂²	semidirect
49. #16864134	C₂²	semidirect
50. #16864134	C₂²	semidirect
51. #16864134	C₂²	semidirect
52. #16864128	C₂²	semidirect
53. #16864120	C₂²	semidirect
54. #16864119	C₂²	semidirect
55. #16864112	C₂²	semidirect
56. #16864111	C₂²	semidirect
57. #16864105	C₂²	semidirect
58. #16864104	C₂²	semidirect
59. #16864103	C₂²	semidirect
60. #16864098	C₂²	semidirect
61. #16864098	C₂²	semidirect
62. #16864094	C₂²	semidirect
63. #16864094	C₂²	semidirect
64. #16864093	C₂²	semidirect
65. #16864092	C₂²	semidirect
66. #16864089	C₂²	semidirect
67. #16864089	C₂²	semidirect
68. #16864088	C₂²	semidirect
69. #16864088	C₂²	semidirect
70. #16864084	C₂²	semidirect
71. #16864081	C₂²	semidirect
72. #16864081	C₂²	semidirect
73. #16864080	C₂²	semidirect
74. #16864073	C₂²	semidirect
75. #16864073	C₂²	semidirect
76. #16864072	C₂²	semidirect
77. #16864072	C₂²	semidirect
78. #16864069	C₂²	semidirect
79. #16864069	C₂²	semidirect
80. #16864069	C₂²	semidirect
81. #16864069	C₂²	semidirect
82. #16864065	C₂²	semidirect
83. #16864064	C₂²	semidirect
84. Q₈×C₂²⋊D₆₇	C₂²	semidirect
85. #16864059	C₂²	semidirect
86. #16864058	C₂²	semidirect
87. #16864055	C₂²	semidirect
88. #16864054	C₂²	semidirect
89. #16864050	C₂²	semidirect
90. #16864048	C₂²	semidirect
91. #16864048	C₂²	semidirect
92. #16864045	C₂²	semidirect
93. #16864044	C₂²	semidirect
94. #16864042	C₂²	semidirect
95. #16864042	C₂²	semidirect
96. #16864041	C₂²	semidirect
97. #16864041	C₂²	semidirect
98. #16864039	C₂²	semidirect
99. #16864039	C₂²	semidirect
100. #16864036	C₂²	semidirect
101. #16864035	C₂²	semidirect
102. #16864034	C₂²	semidirect
103. #16864034	C₂²	semidirect
104. #16864033	C₂²	semidirect
105. #16864033	C₂²	semidirect
106. #16864030	C₂²	semidirect
107. #16864030	C₂²	semidirect
108. D₄×C₂²⋊D₆₇	C₂²	semidirect
109. D₄×C₂²⋊D₆₇	C₂²	semidirect
110. #16864028	C₂²	semidirect
111. #16864027	C₂²	semidirect
112. #16864025	C₂²	semidirect
113. #16864021	C₂²	semidirect
114. #16864020	C₂²	semidirect
115. #16864019	C₂²	semidirect
116. #16864019	C₂²	semidirect
117. #16864017	C₂²	semidirect
118. #16864015	C₂²	semidirect
119. #16864012	C₂²	semidirect
120. #16864010	C₂²	semidirect
121. #16864006	C₂²	semidirect
122. #16864004	C₂²	semidirect
123. #16863999	C₂²	semidirect
124. #16863999	C₂²	semidirect
125. #16863999	C₂²	semidirect
126. #16863998	C₂²	semidirect
127. #16863997	C₂²	semidirect
128. #16863996	C₂²	semidirect
129. #16863995	C₂²	semidirect
130. #16863995	C₂²	semidirect
131. #16863995	C₂²	semidirect
132. #16863995	C₂²	semidirect
133. #16863994	C₂²	semidirect
134. #16863993	C₂²	semidirect
135. #16863992	C₂²	semidirect
136. #16863992	C₂²	semidirect
137. #16863987	C₂²	semidirect
138. #16863986	C₂²	semidirect
139. #16863986	C₂²	semidirect
140. #16863986	C₂²	semidirect
141. #16863985	C₂²	semidirect
142. #16863984	C₂²	semidirect
143. #16863983	C₂²	semidirect
144. #16863983	C₂²	semidirect
145. #16863983	C₂²	semidirect
146. #16863982	C₂²	semidirect
147. #16863982	C₂²	semidirect
148. #16863980	C₂²	semidirect
149. #16863979	C₂²	semidirect
150. #16863979	C₂²	semidirect
151. #16863977	C₂²	semidirect
152. #16863974	C₂²	semidirect
153. #16863974	C₂²	semidirect
154. #16863973	C₂²	semidirect
155. #16863969	C₂²	semidirect
156. #16863969	C₂²	semidirect
157. #16863969	C₂²	semidirect
158. #16863962	C₂²	semidirect
159. #16863962	C₂²	semidirect
160. #16863962	C₂²	semidirect
161. #16863961	C₂²	semidirect
162. #16863960	C₂²	semidirect
163. #16863958	C₂²	semidirect
164. #16863958	C₂²	semidirect
165. #16863957	C₂²	semidirect
166. #16863954	C₂²	semidirect
167. #16863954	C₂²	semidirect
168. #16863954	C₂²	semidirect
169. #16863951	C₂²	semidirect
170. #16863945	C₂²	semidirect
171. #16863945	C₂²	semidirect
172. #16863941	C₂²	semidirect
173. #16863941	C₂²	semidirect
174. #16863941	C₂²	semidirect
175. #16863932	C₂²	semidirect
176. #16863932	C₂²	semidirect
177. #16863932	C₂²	semidirect
178. #16863932	C₂²	semidirect
179. #16863931	C₂²	semidirect
180. #16863929	C₂²	semidirect
181. #16863925	C₂²	semidirect
182. #16863923	C₂²	semidirect
183. #16863923	C₂²	semidirect
184. #16863923	C₂²	semidirect
185. #16863909	C₂²	semidirect
186. #16863909	C₂²	semidirect
187. #16863909	C₂²	semidirect
188. #16863909	C₂²	semidirect
189. #16863909	C₂²	semidirect
190. #16863909	C₂²	semidirect
191. #16863909	C₂²	semidirect
192. #16863909	C₂²	semidirect
193. #16863909	C₂²	semidirect
194. #16863909	C₂²	semidirect
195. #16863909	C₂²	semidirect
196. #16863909	C₂²	semidirect
197. #16863909	C₂²	semidirect
198. #16863908	C₂²	semidirect
200. #16863906	C₂²	semidirect
201. #16863906	C₂²	semidirect
202. #16863906	C₂²	semidirect
203. #16863906	C₂²	semidirect
204. #16863906	C₂²	semidirect
205. #16863906	C₂²	semidirect
206. #16863906	C₂²	semidirect
207. #16863906	C₂²	semidirect
208. #16863906	C₂²	semidirect
209. #16863906	C₂²	semidirect
210. #16863906	C₂²	semidirect
211. #16863906	C₂²	semidirect
212. #16863906	C₂²	semidirect
213. #16863905	C₂²	semidirect
214. #16863905	C₂²	semidirect
215. #16863904	C₂²	semidirect
216. #16863904	C₂²	semidirect
217. #16863903	C₂²	semidirect
218. #16863902	C₂²	semidirect
219. #16863902	C₂²	semidirect
220. C₂×#14524028	C₂²	semidirect
221. C₂×#14524025	C₂²	semidirect
222. #123×D₆₇	C₂²	semidirect
223. C₂×#14524023	C₂²	semidirect
224. C₂×#14524022	C₂²	semidirect
225. C₂×#14524019	C₂²	semidirect
226. C₂²⋊Q₈×D₆₇	C₂²	semidirect
227. C₂²⋊Q₈×D₆₇	C₂²	semidirect
228. C₂×#14524018	C₂²	semidirect
229. C₂×#14524017	C₂²	semidirect
230. C₂×#14524014	C₂²	semidirect
231. #121×D₆₇	C₂²	semidirect
232. #121×D₆₇	C₂²	semidirect
233. C₂×#14524013	C₂²	semidirect
234. C₂×#14524011	C₂²	semidirect
235. #120×D₆₇	C₂²	semidirect
236. #41×Dic₆₇	C₂²	semidirect
237. C₄×#11761629	C₂²	semidirect
238. C₄×#11761627	C₂²	semidirect
239. C₄×#11761627	C₂²	semidirect
240. C₂×D₄×Dic₆₇	C₂²	semidirect
241. C₂×#14524005	C₂²	semidirect
242. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
243. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
244. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
245. C₄×D₄×D₆₇	C₂²	semidirect
246. C₄×D₄×D₆₇	C₂²	semidirect
247. C₄×D₄×D₆₇	C₂²	semidirect
248. C₂×#14524001	C₂²	semidirect
249. C₂×#14524001	C₂²	semidirect
250. C₂×#14524001	C₂²	semidirect
251. #117×D₆₇	C₂²	semidirect
252. #562×C₆₇	C₂²	semidirect
253. #554×C₆₇	C₂²	semidirect
254. #548×C₆₇	C₂²	semidirect
255. #547×C₆₇	C₂²	semidirect
256. #546×C₆₇	C₂²	semidirect
257. #546×C₆₇	C₂²	semidirect
258. #543×C₆₇	C₂²	semidirect
259. #542×C₆₇	C₂²	semidirect
260. #539×C₆₇	C₂²	semidirect
261. #538×C₆₇	C₂²	semidirect
262. #537×C₆₇	C₂²	semidirect
263. #537×C₆₇	C₂²	semidirect
264. #525×C₆₇	C₂²	semidirect
265. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
266. C₂×#121×C₆₇	C₂²	semidirect
277. C₂×#11761628	C₂³	semidirect
286. C₂×#11761627	C₂³	semidirect
291. C₂×Q₈×D₆₇	C₂³	semidirect
305. C₂×D₄×D₆₇	C₂³	semidirect
323. C₂²×C₄×D₆₇	C₂³	semidirect
324. #14524043	C₂³	semidirect
325. #14524042	C₂³	semidirect
326. #14524042	C₂³	semidirect
327. #14524042	C₂³	semidirect
328. #14524041	C₂³	semidirect
329. #14524041	C₂³	semidirect
334. #14524039	C₂³	semidirect
340. #14524038	C₂³	semidirect
341. #14524038	C₂³	semidirect
342. #14524038	C₂³	semidirect
343. #14524038	C₂³	semidirect
344. #14524038	C₂³	semidirect
345. #14524038	C₂³	semidirect
346. #14524038	C₂³	semidirect
347. #14524038	C₂³	semidirect
351. #14524036	C₂³	semidirect
352. #14524036	C₂³	semidirect
353. #14524036	C₂³	semidirect
354. #14524035	C₂³	semidirect
355. #14524034	C₂³	semidirect
356. #14524034	C₂³	semidirect
357. #14524034	C₂³	semidirect
358. #14524034	C₂³	semidirect
359. #14524034	C₂³	semidirect
360. #14524034	C₂³	semidirect
361. #14524033	C₂³	semidirect
362. #14524033	C₂³	semidirect
363. #14524033	C₂³	semidirect
364. #14524033	C₂³	semidirect
368. #14524032	C₂³	semidirect
371. #14524031	C₂³	semidirect
378. #14524029	C₂³	semidirect
379. #14524029	C₂³	semidirect
380. #14524029	C₂³	semidirect
381. #14524029	C₂³	semidirect
393. #14524028	C₂³	semidirect
394. #14524028	C₂³	semidirect
395. #14524028	C₂³	semidirect
402. #14524027	C₂³	semidirect
403. #14524027	C₂³	semidirect
404. #14524027	C₂³	semidirect
405. #14524027	C₂³	semidirect
410. #14524026	C₂³	semidirect
420. #14524025	C₂³	semidirect
421. #14524025	C₂³	semidirect
422. #14524025	C₂³	semidirect
423. #14524025	C₂³	semidirect
424. #14524025	C₂³	semidirect
426. #14524024	C₂³	semidirect
434. #14524023	C₂³	semidirect
435. #14524023	C₂³	semidirect
436. #14524023	C₂³	semidirect
437. #14524023	C₂³	semidirect
445. #14524022	C₂³	semidirect
446. #14524022	C₂³	semidirect
449. #14524021	C₂³	semidirect
450. #14524021	C₂³	semidirect
451. #14524021	C₂³	semidirect
456. #14524020	C₂³	semidirect
457. #14524020	C₂³	semidirect
458. #14524020	C₂³	semidirect
466. #14524019	C₂³	semidirect
467. #14524019	C₂³	semidirect
468. #14524019	C₂³	semidirect
469. #14524019	C₂³	semidirect
479. #14524018	C₂³	semidirect
494. #14524017	C₂³	semidirect
495. #14524017	C₂³	semidirect
505. #14524016	C₂³	semidirect
506. #14524016	C₂³	semidirect
516. #14524015	C₂³	semidirect
517. #14524015	C₂³	semidirect
518. #14524015	C₂³	semidirect
519. #14524015	C₂³	semidirect
528. #14524014	C₂³	semidirect
529. #14524014	C₂³	semidirect
541. #14524013	C₂³	semidirect
542. #14524013	C₂³	semidirect
556. #14524011	C₂³	semidirect
557. #14524011	C₂³	semidirect
558. Q₈×Dic₆₇	C₂³	semidirect
559. Q₈×Dic₆₇	C₂³	semidirect
560. Q₈×Dic₆₇	C₂³	semidirect
561. C₄×Dic₁₃₄	C₂³	semidirect
562. C₄×Dic₁₃₄	C₂³	semidirect
563. #14524008	C₂³	semidirect
564. #14524008	C₂³	semidirect
568. C₄×D₂₆₈	C₂³	semidirect
569. C₄×D₂₆₈	C₂³	semidirect
578. D₄×Dic₆₇	C₂³	semidirect
579. D₄×Dic₆₇	C₂³	semidirect
580. D₄×Dic₆₇	C₂³	semidirect
588. #14524005	C₂³	semidirect
589. #14524005	C₂³	semidirect
597. C₄×C₂²⋊D₆₇	C₂³	semidirect
598. C₄×C₂²⋊D₆₇	C₂³	semidirect
614. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
615. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
616. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
617. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
618. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
619. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
622. #14524002	C₂³	semidirect
623. #14524002	C₂³	semidirect
635. #14524001	C₂³	semidirect
636. #14524001	C₂³	semidirect
637. #14524001	C₂³	semidirect
638. #14524001	C₂³	semidirect
639. #14524001	C₂³	semidirect
643. #14523999	C₂³	semidirect
644. #14523999	C₂³	semidirect
648. C₂×C₄⋊Dic₆₇	C₂³	semidirect
651. C₂×Dic₆₇⋊C₄	C₂³	semidirect
656. C₄⋊C₄×D₆₇	C₂³	semidirect
666. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
673. C₂²⋊C₄×D₆₇	C₂³	semidirect
676. C₂×C₄×Dic₆₇	C₂³	semidirect
677. C₂×C₄×Dic₆₇	C₂³	semidirect
679. C₄²×D₆₇	C₂³	semidirect
682. C₂×#41×C₆₇	C₂³	semidirect
687. C₄⋊Q₈×C₆₇	C₂³	semidirect
688. #126×C₆₇	C₂³	semidirect
689. #125×C₆₇	C₂³	semidirect
691. #124×C₆₇	C₂³	semidirect
692. #124×C₆₇	C₂³	semidirect
696. #123×C₆₇	C₂³	semidirect
697. #123×C₆₇	C₂³	semidirect
705. C₂²⋊Q₈×C₆₇	C₂³	semidirect
706. C₂²⋊Q₈×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
720. #121×C₆₇	C₂³	semidirect
721. #121×C₆₇	C₂³	semidirect
722. #121×C₆₇	C₂³	semidirect
725. C₄×Q₈×C₆₇	C₂³	semidirect
730. C₄×D₄×C₆₇	C₂³	semidirect
735. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
1293. #3536	D₆₇	semidirect
1315. C₆₇	#62729	semidirect
1329. #562	C₂×D₆₇	semidirect
1345. #554	C₂×D₆₇	semidirect
1375. #548	C₂×D₆₇	semidirect
1381. #547	C₂×D₆₇	semidirect
1394. #546	C₂×D₆₇	semidirect
1395. #546	C₂×D₆₇	semidirect
1404. #543	C₂×D₆₇	semidirect
1412. #542	C₂×D₆₇	semidirect
1430. #539	C₂×D₆₇	semidirect
1444. #538	C₂×D₆₇	semidirect
1449. #537	C₂×D₆₇	semidirect
1450. #537	C₂×D₆₇	semidirect
1516. #525	C₂×D₆₇	semidirect
1525. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
1531. C₂×#121	C₂×D₆₇	semidirect
1575. C₂×#41	C₂²×D₆₇	semidirect
1621. C₄⋊Q₈	C₂²×D₆₇	semidirect
1646. #126	C₂²×D₆₇	semidirect
1658. #125	C₂²×D₆₇	semidirect
1677. #124	C₂²×D₆₇	semidirect
1678. #124	C₂²×D₆₇	semidirect
1727. #123	C₂²×D₆₇	semidirect
1728. #123	C₂²×D₆₇	semidirect
1779. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1780. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1781. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1782. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1783. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1784. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1854. #121	C₂²×D₆₇	semidirect
1855. #121	C₂²×D₆₇	semidirect
1856. #121	C₂²×D₆₇	semidirect
1894. C₄×Q₈	C₂²×D₆₇	semidirect
1954. C₄×D₄	C₂²×D₆₇	semidirect
1996. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22574526	2
#22574511	2
#22574503	2
#22574488	2
#22574481	2
#22574462	2
#22574454	2
#22574444	2
#22574436	2
#22574423	2
#22574415	2
#22574400	2
#22574388	2
#22574371	2
#22574358	2
#22574346	2
#22573814	2
#22573775	2
#22573772	2
#22573698	2
#22573693	2
#22573628	2
#22573626	2
#22573621	2
#22573617	2
#22573596	2
#22573537	2
C₂×#16863909	2
C₂×#16863906	2
#525×D₆₇	2
C₆₇×#3536	2
#62729	67