Subgroups — #31763140

Order 17152.

7346 conjugacy classes of subgroups.

The subgroup lattice has 2522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574527	C₂	1	2	yes	maximal, complemented
2	#22574513	C₂	1	2	yes	maximal, complemented
3	#22574504	C₂	1	2	yes	maximal, complemented
4	#22574490	C₂	1	2	yes	maximal, complemented
5	#22574486	C₂	1	1	yes	maximal, characteristic, complemented
6	#22574475	C₂	1	1	yes	maximal, characteristic, complemented
7	#22574462	C₂	1	2	yes	maximal, complemented
8	#22574452	C₂	1	1	yes	maximal, characteristic, complemented
9	#22574442	C₂	1	1	yes	maximal, characteristic, complemented
10	#22574427	C₂	1	2	yes	maximal, complemented
11	#22574408	C₂	1	4	yes	maximal, complemented
12	#22574389	C₂	1	4	yes	maximal, complemented
13	#22574382	C₂	1	2	yes	maximal, complemented
14	#22574370	C₂	1	2	yes	maximal, complemented
15	#22574363	C₂	1	2	yes	maximal, complemented
16	#22574361	C₂	1	2	yes	maximal, complemented
17	#22574347	C₂	1	2	yes	maximal, complemented
18	#22574345	C₂	1	2	yes	maximal, complemented
19	#22573817	C₂	1	2	yes	maximal, complemented
20	#22573811	C₂	1	2	yes	maximal, complemented
21	#22573769	C₂	1	2	yes	maximal, complemented
22	#22573763	C₂	1	2	yes	maximal, complemented
23	#41×C₂²⋊D₆₇	C₂	1	2	yes	maximal, complemented
24	#22573692	C₂	1	2	yes	maximal, complemented
25	#22573623	C₂	1	4	yes	maximal, complemented
26	#22573616	C₂	1	4	yes	maximal, complemented
27	#22573597	C₂	1	2	yes	maximal, complemented
28	#22573538	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16863903	C₂	1	1	yes	maximal, characteristic, complemented
30	#525×D₆₇	C₂	1	2	yes	maximal, complemented
31	C₆₇×#3449	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
33	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
34	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
35	#16864149	C₂²	1	2	yes	complemented
36	#16864147	C₂²	1	4	yes	complemented
37	#16864146	C₂²	1	2	yes	complemented
38	#16864145	C₂²	1	4	yes	complemented
39	#16864143	C₂²	1	4	yes	complemented
40	#16864142	C₂²	1	4	yes	complemented
41	#16864141	C₂²	1	4	yes	complemented
42	#16864141	C₂²	1	4	yes	complemented
43	#16864141	C₂²	1	4	yes	complemented
44	#16864140	C₂²	1	4	yes	complemented
45	#16864139	C₂²	1	2	yes	complemented
46	#16864138	C₂²	1	2	yes	complemented
47	#16864136	C₂²	1	2	yes	complemented
48	#16864135	C₂²	1	2	yes	complemented
49	#16864135	C₂²	1	4	yes	complemented
50	#16864134	C₂²	1	4	yes	complemented
51	#16864134	C₂²	1	4	yes	complemented
52	#16864134	C₂²	1	4	yes	complemented
53	#16864133	C₂²	1	2	yes	complemented
54	#16864133	C₂²	1	2	yes	complemented
55	#16864132	C₂²	1	2	yes	complemented
56	#16864130	C₂²	1	2	yes	complemented
57	#16864117	C₂²	1	2	yes	complemented
58	#16864114	C₂²	1	2	yes	complemented
59	#16864110	C₂²	1	2	yes	complemented
60	#16864109	C₂²	1	2	yes	complemented
61	#16864107	C₂²	1	4	yes	complemented
62	#16864104	C₂²	1	2	yes	complemented
63	#16864101	C₂²	1	2	yes	complemented
64	#16864100	C₂²	1	4	yes	complemented
65	#16864098	C₂²	1	2	yes	complemented
66	#16864094	C₂²	1	2	yes	complemented
67	#16864093	C₂²	1	4	yes	complemented
68	#16864093	C₂²	1	4	yes	complemented
69	#16864093	C₂²	1	2	yes	complemented
70	#16864091	C₂²	1	4	yes	complemented
71	#16864090	C₂²	1	2	yes	complemented
72	#16864089	C₂²	1	4	yes	complemented
73	#16864088	C₂²	1	2	yes	complemented
74	#16864085	C₂²	1	2	yes	complemented
75	#16864083	C₂²	1	4	yes	complemented
76	#16864081	C₂²	1	2	yes	complemented
77	#16864080	C₂²	1	2	yes	complemented
78	#16864079	C₂²	1	4	yes	complemented
79	#16864077	C₂²	1	4	yes	complemented
80	#16864077	C₂²	1	2	yes	complemented
81	#16864076	C₂²	1	2	yes	complemented
82	#16864076	C₂²	1	2	yes	complemented
83	#16864076	C₂²	1	4	yes	complemented
84	#16864074	C₂²	1	2	yes	complemented
85	#16864073	C₂²	1	4	yes	complemented
86	#16864072	C₂²	1	4	yes	complemented
87	#16864070	C₂²	1	4	yes	complemented
88	#16864069	C₂²	1	4	yes	complemented
89	#16864065	C₂²	1	2	yes	complemented
90	#16864064	C₂²	1	2	yes	complemented
91	Q₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
92	#16864059	C₂²	1	2	yes	complemented
93	#16864057	C₂²	1	2	yes	complemented
94	#16864056	C₂²	1	2	yes	complemented
95	#16864053	C₂²	1	2	yes	complemented
96	#16864052	C₂²	1	2	yes	complemented
97	#16864048	C₂²	1	2	yes	complemented
98	#16864047	C₂²	1	2	yes	complemented
99	#16864046	C₂²	1	2	yes	complemented
100	#16864045	C₂²	1	4	yes	complemented
101	#16864045	C₂²	1	2	yes	complemented
102	#16864044	C₂²	1	4	yes	complemented
103	#16864043	C₂²	1	4	yes	complemented
104	#16864043	C₂²	1	2	yes	complemented
105	#16864043	C₂²	1	4	yes	complemented
106	#16864040	C₂²	1	4	yes	complemented
107	#16864040	C₂²	1	2	yes	complemented
108	#16864038	C₂²	1	4	yes	complemented
109	#16864037	C₂²	1	2	yes	complemented
110	#16864036	C₂²	1	4	yes	complemented
111	#16864035	C₂²	1	4	yes	complemented
112	#16864034	C₂²	1	4	yes	complemented
113	#16864034	C₂²	1	2	yes	complemented
114	#16864033	C₂²	1	4	yes	complemented
115	#16864033	C₂²	1	4	yes	complemented
116	#16864033	C₂²	1	4	yes	complemented
117	#16864031	C₂²	1	2	yes	complemented
118	#16864030	C₂²	1	2	yes	complemented
119	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
120	D₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
121	#16864028	C₂²	1	2	yes	complemented
122	#16864028	C₂²	1	4	yes	complemented
123	#16864023	C₂²	1	4	yes	complemented
124	#16864021	C₂²	1	4	yes	complemented
125	#16864020	C₂²	1	4	yes	complemented
126	#16864019	C₂²	1	2	yes	complemented
127	#16864019	C₂²	1	2	yes	complemented
128	#16864013	C₂²	1	2	yes	complemented
129	#16864013	C₂²	1	2	yes	complemented
130	#16864013	C₂²	1	4	yes	complemented
131	#16864010	C₂²	1	4	yes	complemented
132	#16864010	C₂²	1	4	yes	complemented
133	#16864006	C₂²	1	2	yes	complemented
134	#16864006	C₂²	1	2	yes	complemented
135	#16864000	C₂²	1	4	yes	complemented
136	#16863999	C₂²	1	2	yes	complemented
137	#16863999	C₂²	1	2	yes	complemented
138	#16863999	C₂²	1	4	yes	complemented
139	#16863996	C₂²	1	4	yes	complemented
140	#16863996	C₂²	1	4	yes	complemented
141	#16863995	C₂²	1	4	yes	complemented
142	#16863992	C₂²	1	4	yes	complemented
143	#16863992	C₂²	1	4	yes	complemented
144	#16863991	C₂²	1	4	yes	complemented
145	#16863990	C₂²	1	4	yes	complemented
146	#16863990	C₂²	1	4	yes	complemented
147	#16863989	C₂²	1	4	yes	complemented
148	#16863989	C₂²	1	4	yes	complemented
149	#16863982	C₂²	1	4	yes	complemented
150	#16863982	C₂²	1	4	yes	complemented
151	#16863981	C₂²	1	4	yes	complemented
152	#16863981	C₂²	1	4	yes	complemented
153	#16863981	C₂²	1	4	yes	complemented
154	#16863981	C₂²	1	4	yes	complemented
155	#16863980	C₂²	1	4	yes	complemented
156	#16863980	C₂²	1	4	yes	complemented
157	#16863978	C₂²	1	4	yes	complemented
158	#16863978	C₂²	1	4	yes	complemented
159	#16863978	C₂²	1	4	yes	complemented
160	#16863978	C₂²	1	4	yes	complemented
161	#16863975	C₂²	1	4	yes	complemented
162	#16863974	C₂²	1	2	yes	complemented
163	#16863974	C₂²	1	2	yes	complemented
164	#16863970	C₂²	1	2	yes	complemented
165	#16863967	C₂²	1	1	yes	characteristic, complemented
166	#16863967	C₂²	1	1	yes	characteristic, complemented
167	#16863963	C₂²	1	2	yes	complemented
168	#16863962	C₂²	1	4	yes	complemented
169	#16863960	C₂²	1	1	yes	characteristic, complemented
170	#16863960	C₂²	1	1	yes	characteristic, complemented
171	#16863959	C₂²	1	4	yes	complemented
172	#16863956	C₂²	1	4	yes	complemented
173	#16863956	C₂²	1	4	yes	complemented
174	#16863955	C₂²	1	2	yes	complemented
175	#16863955	C₂²	1	2	yes	complemented
176	#16863954	C₂²	1	4	yes	complemented
177	#16863949	C₂²	1	2	yes	complemented
178	#16863943	C₂²	1	4	yes	complemented
179	#16863942	C₂²	1	2	yes	complemented
180	#16863942	C₂²	1	2	yes	complemented
181	#16863942	C₂²	1	2	yes	complemented
182	#16863942	C₂²	1	4	yes	complemented
183	#16863930	C₂²	1	4	yes	complemented
184	#16863928	C₂²	1	4	yes	complemented
185	#16863928	C₂²	1	4	yes	complemented
186	#16863928	C₂²	1	4	yes	complemented
187	#16863926	C₂²	1	4	yes	complemented
188	#16863926	C₂²	1	4	yes	complemented
189	#16863926	C₂²	1	4	yes	complemented
190	#16863926	C₂²	1	4	yes	complemented
191	#16863924	C₂²	1	4	yes	complemented
192	#16863924	C₂²	1	4	yes	complemented
193	#16863909	C₂²	1	2	yes	complemented
194	#16863909	C₂²	1	2	yes	complemented
195	#16863908	C₂²	1	2	yes	complemented
196	#16863907	C₂²	1	2	yes	complemented
197	#16863907	C₂²	1	2	yes	complemented
198	#16863907	C₂²	1	4	yes	complemented
199	#16863906	C₂²	1	2	yes	complemented
200	#16863906	C₂²	1	2	yes	complemented
201	#16863905	C₂²	1	4	yes	complemented
202	#16863905	C₂²	1	4	yes	complemented
203	#16863905	C₂²	1	4	yes	complemented
204	#16863905	C₂²	1	4	yes	complemented
205	#16863904	C₂²	1	4	yes	complemented
206	#16863903	C₂²	1	1	yes	characteristic
207	#16863903	C₂²	1	1	yes	characteristic, complemented
208	#16863903	C₂²	1	1	yes	characteristic, complemented
209	#16863903	C₂²	1	2	yes	complemented
210	#16863903	C₂²	1	2	yes	complemented
211	#16863903	C₂²	1	1	yes	characteristic, complemented
212	#16863903	C₂²	1	2	yes	complemented
213	#16863903	C₂²	1	1	yes	characteristic, complemented
214	#16863903	C₂²	1	1	yes	characteristic, complemented
215	#16863903	C₂²	1	2	yes	complemented
216	#16863903	C₂²	1	2	yes	complemented
217	#16863903	C₂²	1	1	yes	characteristic, complemented
218	#16863903	C₂²	1	1	yes	characteristic, complemented
219	#16863903	C₂²	1	2	yes	complemented
220	#16863903	C₂²	1	2	yes	complemented
221	#16863903	C₂²	1	4	yes	complemented
222	#16863902	C₂²	1	4	yes	complemented
223	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
224	C₂×#14524024	C₂²	1	1	yes	characteristic, complemented
225	#123×D₆₇	C₂²	1	4	yes	complemented
226	C₂×#14524019	C₂²	1	2	yes	complemented
227	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
228	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
229	C₂×#14524014	C₂²	1	2	yes	complemented
230	#121×D₆₇	C₂²	1	2	yes	complemented
231	#121×D₆₇	C₂²	1	2	yes	complemented
232	C₂×#14524011	C₂²	1	1	yes	characteristic, complemented
233	C₂×#14524011	C₂²	1	1	yes	characteristic, complemented
234	#120×D₆₇	C₂²	1	4	yes	complemented
235	#41×Dic₆₇	C₂²	1	2	yes	complemented
236	C₄×#11761628	C₂²	1	4	yes	complemented
237	#16863864	C₂²	1	2	yes	complemented
238	C₄×#11761627	C₂²	1	4	yes	complemented
239	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
240	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
241	C₂×C₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
242	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
243	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
244	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
245	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
246	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
247	#117×D₆₇	C₂²	1	2	yes	complemented
248	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
249	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
250	#537×C₆₇	C₂²	1	2	yes	complemented
251	#537×C₆₇	C₂²	1	2	yes	complemented
252	#536×C₆₇	C₂²	1	2	yes	complemented
253	#536×C₆₇	C₂²	1	1	yes	characteristic, complemented
254	#536×C₆₇	C₂²	1	1	yes	characteristic, complemented
255	#535×C₆₇	C₂²	1	2	yes	complemented
256	#535×C₆₇	C₂²	1	1	yes	characteristic, complemented
257	#535×C₆₇	C₂²	1	1	yes	characteristic, complemented
258	#534×C₆₇	C₂²	1	2	yes	complemented
259	#534×C₆₇	C₂²	1	2	yes	complemented
260	#532×C₆₇	C₂²	1	2	yes	complemented
261	#532×C₆₇	C₂²	1	2	yes	complemented
262	#525×C₆₇	C₂²	1	2	yes	complemented
263	#525×C₆₇	C₂²	1	2	yes	complemented
264	#525×C₆₇	C₂²	1	2	yes	complemented
265	#525×C₆₇	C₂²	1	2	yes	complemented
266	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
268	C₂×#11761629	C₂³	1	2	yes	—
269	C₂×#11761628	—	4	4	no	—
270	C₂×#11761628	C₂³	1	2	yes	—
271	C₂×#11761628	C₂³	1	4	yes	—
272	C₂×#11761628	C₂³	1	2	yes	—
273	C₂×#11761628	C₂³	1	4	yes	—
274	C₂×#11761628	C₂³	1	2	yes	complemented
275	C₂×#11761628	C₂³	1	2	yes	complemented
276	C₂×#11761627	C₂³	1	4	yes	—
277	C₂×#11761627	C₂³	1	4	yes	—
278	C₂×#11761627	C₂³	1	2	yes	—
279	#41×D₆₇	—	4	8	no	—
280	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
281	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
282	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
283	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
284	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
285	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
286	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
287	C₂×D₄×D₆₇	C₂³	1	4	yes	—
288	C₂×D₄×D₆₇	C₂³	1	4	yes	—
289	C₂×D₄×D₆₇	C₂³	1	4	yes	—
290	C₂×D₄×D₆₇	C₂³	1	2	yes	—
291	C₂×D₄×D₆₇	C₂³	1	4	yes	—
292	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
293	C₂²×C₄×D₆₇	—	4	4	no	—
294	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
295	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
296	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
297	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
298	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
299	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
300	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
301	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
302	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
303	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
304	#14524042	C₂³	1	2	yes	complemented
305	#14524042	C₂³	1	2	yes	complemented
306	#14524042	C₂³	1	4	yes	complemented
307	#14524041	C₂³	1	2	yes	complemented
308	#14524041	C₂³	1	2	yes	complemented
309	#14524041	C₂³	1	4	yes	complemented
310	#14524041	C₂³	1	2	yes	complemented
311	#14524039	C₂³	1	4	yes	—
312	#14524039	C₂³	1	2	yes	—
313	#14524039	C₂³	1	4	yes	—
314	#14524039	C₂³	1	2	yes	—
315	#14524039	C₂³	1	2	yes	complemented
316	#14524038	C₂³	1	4	yes	—
317	#14524038	C₂³	1	4	yes	—
318	#14524038	C₂³	1	4	yes	—
319	#14524038	C₂³	1	4	yes	complemented
320	#14524038	C₂³	1	4	yes	complemented
321	#14524038	C₂³	1	4	yes	complemented
322	#14524037	C₂³	1	4	yes	—
323	#14524037	C₂³	1	4	yes	complemented
324	#14524036	C₂³	1	4	yes	—
325	#14524036	C₂³	1	4	yes	—
326	#14524036	C₂³	1	4	yes	—
327	#14524036	C₂³	1	4	yes	—
328	#14524036	C₂³	1	4	yes	complemented
329	#14524036	C₂³	1	4	yes	complemented
330	#14524036	C₂³	1	4	yes	complemented
331	#14524036	C₂³	1	4	yes	complemented
332	#14524036	C₂³	1	4	yes	complemented
333	#14524036	C₂³	1	4	yes	complemented
334	#14524036	C₂³	1	4	yes	complemented
335	#14524036	C₂³	1	4	yes	complemented
336	#14524035	C₂³	1	4	yes	complemented
337	#14524034	C₂³	1	4	yes	complemented
338	#14524034	C₂³	1	2	yes	complemented
339	#14524034	C₂³	1	2	yes	complemented
340	#14524034	C₂³	1	4	yes	complemented
341	#14524034	C₂³	1	4	yes	complemented
342	#14524033	C₂³	1	4	yes	complemented
343	#14524033	C₂³	1	4	yes	complemented
344	#14524033	C₂³	1	4	yes	complemented
345	#14524033	C₂³	1	4	yes	complemented
346	#14524033	C₂³	1	4	yes	complemented
347	#14524033	C₂³	1	4	yes	complemented
348	#14524032	C₂³	1	4	yes	—
349	#14524032	C₂³	1	2	yes	complemented
350	#14524032	C₂³	1	2	yes	complemented
351	#14524032	C₂³	1	2	yes	complemented
352	#14524031	C₂³	1	4	yes	—
353	#14524030	C₂³	1	4	yes	—
354	#14524030	C₂³	1	2	yes	—
355	#14524030	C₂³	1	4	yes	—
356	#14524030	C₂³	1	2	yes	—
357	#14524030	C₂³	1	2	yes	complemented
358	#14524030	C₂³	1	4	yes	complemented
359	#14524030	C₂³	1	4	yes	complemented
360	#14524029	C₂³	1	4	yes	—
361	#14524029	C₂³	1	4	yes	—
362	#14524029	C₂³	1	4	yes	—
363	#14524029	C₂³	1	4	yes	—
364	#14524029	C₂³	1	4	yes	—
365	#14524029	C₂³	1	4	yes	—
366	#14524029	C₂³	1	4	yes	complemented
367	#14524029	C₂³	1	4	yes	complemented
368	#14524028	C₂³	1	4	yes	—
369	#14524028	C₂³	1	4	yes	—
370	#14524028	C₂³	1	4	yes	—
371	#14524028	C₂³	1	4	yes	—
372	#14524028	C₂³	1	4	yes	—
373	#14524028	C₂³	1	4	yes	complemented
374	#14524027	C₂³	1	4	yes	—
375	#14524027	C₂³	1	4	yes	—
376	#14524027	C₂³	1	4	yes	—
377	#14524027	C₂³	1	4	yes	complemented
378	#14524027	C₂³	1	4	yes	complemented
379	#14524026	C₂³	1	4	yes	—
380	#14524026	C₂³	1	4	yes	—
381	#14524026	C₂³	1	4	yes	—
382	#14524026	C₂³	1	4	yes	—
383	#14524026	C₂³	1	4	yes	complemented
384	#14524026	C₂³	1	4	yes	complemented
385	#14524025	C₂³	1	4	yes	—
386	#14524025	C₂³	1	4	yes	—
387	#14524025	C₂³	1	4	yes	—
388	#14524025	C₂³	1	4	yes	—
389	#14524025	C₂³	1	4	yes	—
390	#14524025	C₂³	1	4	yes	—
391	#14524025	C₂³	1	4	yes	—
392	#14524025	C₂³	1	4	yes	complemented
393	#14524025	C₂³	1	4	yes	complemented
394	#14524025	C₂³	1	4	yes	complemented
395	#14524025	C₂³	1	4	yes	complemented
396	#14524025	C₂³	1	4	yes	complemented
397	#14524024	C₂³	1	2	yes	—
398	#14524024	C₂³	1	4	yes	—
399	#14524024	C₂³	1	2	yes	—
400	#14524024	C₂³	1	4	yes	—
401	#14524024	C₂³	1	4	yes	—
402	#14524024	C₂³	1	1	yes	characteristic
403	#14524024	C₂³	1	2	yes	—
404	#14524024	C₂³	1	1	yes	characteristic
405	#14524024	C₂³	1	1	yes	characteristic
406	#14524024	C₂³	1	1	yes	characteristic
407	#14524024	C₂³	1	1	yes	characteristic
408	#14524024	C₂³	1	1	yes	characteristic
409	#14524024	C₂³	1	1	yes	characteristic
410	#14524024	C₂³	1	1	yes	characteristic
411	#14524024	C₂³	1	2	yes	—
412	#14524024	C₂³	1	2	yes	—
413	#14524024	C₂³	1	2	yes	—
414	#14524024	C₂³	1	4	yes	complemented
415	#14524024	C₂³	1	4	yes	complemented
416	#14524024	C₂³	1	4	yes	complemented
417	#14524024	C₂³	1	4	yes	complemented
418	#14524024	C₂³	1	2	yes	complemented
419	#14524024	C₂³	1	2	yes	complemented
420	#14524023	C₂³	1	4	yes	—
421	#14524023	C₂³	1	2	yes	—
422	#14524023	C₂³	1	2	yes	—
423	#14524023	C₂³	1	4	yes	complemented
424	#14524023	C₂³	1	4	yes	complemented
425	#14524022	C₂³	1	2	yes	—
426	#14524022	C₂³	1	2	yes	—
427	#14524022	C₂³	1	4	yes	complemented
428	#14524022	C₂³	1	4	yes	complemented
429	#14524022	C₂³	1	2	yes	complemented
430	#14524022	C₂³	1	4	yes	complemented
431	#14524022	C₂³	1	2	yes	complemented
432	#14524021	C₂³	1	4	yes	—
433	#14524021	C₂³	1	4	yes	—
434	#14524021	C₂³	1	4	yes	—
435	#14524021	C₂³	1	4	yes	—
436	#14524021	C₂³	1	4	yes	complemented
437	#14524021	C₂³	1	4	yes	complemented
438	#14524020	C₂³	1	4	yes	—
439	#14524020	C₂³	1	4	yes	—
440	#14524020	C₂³	1	4	yes	—
441	#14524020	C₂³	1	4	yes	—
442	#14524020	C₂³	1	4	yes	complemented
443	#14524020	C₂³	1	4	yes	complemented
444	#14524020	C₂³	1	4	yes	complemented
445	#14524020	C₂³	1	4	yes	complemented
446	#14524020	C₂³	1	4	yes	complemented
447	#14524020	C₂³	1	4	yes	complemented
448	#14524019	C₂³	1	2	yes	—
449	#14524019	C₂³	1	2	yes	—
450	#14524019	C₂³	1	2	yes	—
451	#14524019	C₂³	1	4	yes	—
452	#14524019	C₂³	1	2	yes	—
453	#14524019	C₂³	1	2	yes	—
454	#14524019	C₂³	1	2	yes	—
455	#14524019	C₂³	1	2	yes	—
456	#14524019	C₂³	1	2	yes	—
457	#14524019	C₂³	1	2	yes	—
458	#14524019	C₂³	1	2	yes	—
459	#14524019	C₂³	1	4	yes	complemented
460	#14524019	C₂³	1	4	yes	complemented
461	#14524019	C₂³	1	4	yes	complemented
462	#14524018	C₂³	1	4	yes	—
463	#14524018	C₂³	1	2	yes	—
464	#14524018	C₂³	1	2	yes	—
465	#14524017	C₂³	1	2	yes	—
466	#14524017	C₂³	1	2	yes	—
467	#14524017	C₂³	1	4	yes	—
468	#14524017	C₂³	1	4	yes	—
469	#14524017	C₂³	1	4	yes	—
470	#14524017	C₂³	1	2	yes	complemented
471	#14524017	C₂³	1	2	yes	complemented
472	#14524016	C₂³	1	4	yes	—
473	#14524016	C₂³	1	4	yes	—
474	#14524016	C₂³	1	4	yes	—
475	#14524016	C₂³	1	4	yes	—
476	#14524016	C₂³	1	4	yes	—
477	#14524016	C₂³	1	4	yes	—
478	#14524016	C₂³	1	4	yes	—
479	#14524016	C₂³	1	4	yes	complemented
480	#14524015	C₂³	1	4	yes	—
481	#14524015	C₂³	1	4	yes	—
482	#14524015	C₂³	1	4	yes	—
483	#14524015	C₂³	1	4	yes	—
484	#14524015	C₂³	1	4	yes	—
485	#14524015	C₂³	1	4	yes	—
486	#14524015	C₂³	1	4	yes	—
487	#14524015	C₂³	1	4	yes	—
488	#14524015	C₂³	1	4	yes	—
489	#14524015	C₂³	1	4	yes	—
490	#14524015	C₂³	1	4	yes	—
491	#14524015	C₂³	1	4	yes	—
492	#14524015	C₂³	1	4	yes	—
493	#14524015	C₂³	1	4	yes	complemented
494	#14524015	C₂³	1	4	yes	complemented
495	#14524015	C₂³	1	4	yes	complemented
496	#14524015	C₂³	1	4	yes	complemented
497	#14524015	C₂³	1	4	yes	complemented
498	#14524014	C₂³	1	4	yes	—
499	#14524014	C₂³	1	4	yes	—
500	#14524014	C₂³	1	2	yes	—
501	#14524014	C₂³	1	4	yes	—
502	#14524014	C₂³	1	4	yes	—
503	#14524014	C₂³	1	2	yes	—
504	#14524014	C₂³	1	2	yes	—
505	#14524014	C₂³	1	2	yes	—
506	#14524014	C₂³	1	4	yes	—
507	#14524014	C₂³	1	2	yes	—
508	#14524014	C₂³	1	2	yes	—
509	#14524014	C₂³	1	2	yes	—
510	#14524014	C₂³	1	2	yes	—
511	#14524014	C₂³	1	2	yes	—
512	#14524014	C₂³	1	2	yes	—
513	#14524014	C₂³	1	4	yes	—
514	#14524014	C₂³	1	4	yes	complemented
515	#14524014	C₂³	1	4	yes	complemented
516	#14524013	C₂³	1	4	yes	—
517	#14524013	C₂³	1	4	yes	—
518	#14524013	C₂³	1	4	yes	—
519	#14524013	C₂³	1	4	yes	—
520	#14524013	C₂³	1	4	yes	—
521	#14524012	C₂³	1	4	yes	—
522	#14524012	C₂³	1	4	yes	—
523	#14524012	C₂³	1	4	yes	—
524	#14524012	C₂³	1	4	yes	complemented
525	#14524011	C₂³	1	1	yes	characteristic
526	#14524011	C₂³	1	4	yes	—
527	#14524011	C₂³	1	4	yes	—
528	#14524011	C₂³	1	4	yes	—
529	#14524011	C₂³	1	4	yes	—
530	#14524011	C₂³	1	1	yes	characteristic
531	#14524011	C₂³	1	2	yes	—
532	#14524011	C₂³	1	1	yes	characteristic
533	#14524011	C₂³	1	1	yes	characteristic
534	#14524011	C₂³	1	1	yes	characteristic
535	#14524011	C₂³	1	4	yes	—
536	#14524011	C₂³	1	1	yes	characteristic
537	#14524011	C₂³	1	1	yes	characteristic
538	#14524011	C₂³	1	4	yes	—
539	#14524011	C₂³	1	1	yes	characteristic
540	#14524011	C₂³	1	2	yes	—
541	#14524011	C₂³	1	2	yes	—
542	#14524011	C₂³	1	2	yes	—
543	#14524011	C₂³	1	2	yes	—
544	#14524011	C₂³	1	2	yes	—
545	#14524011	C₂³	1	4	yes	complemented
546	#14524011	C₂³	1	2	yes	complemented
547	#14524011	C₂³	1	2	yes	complemented
548	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
549	Q₈×Dic₆₇	C₂³	1	2	yes	complemented
550	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
551	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
552	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
553	#14524008	C₂³	1	2	yes	complemented
554	#14524008	C₂³	1	2	yes	complemented
555	#14524008	C₂³	1	4	yes	complemented
556	C₄×D₂₆₈	C₂³	1	4	yes	—
557	C₄×D₂₆₈	C₂³	1	4	yes	—
558	C₄×D₂₆₈	C₂³	1	4	yes	—
559	D₄×Dic₆₇	C₂³	1	4	yes	—
560	D₄×Dic₆₇	C₂³	1	4	yes	—
561	D₄×Dic₆₇	C₂³	1	4	yes	—
562	D₄×Dic₆₇	C₂³	1	4	yes	—
563	D₄×Dic₆₇	C₂³	1	4	yes	complemented
564	D₄×Dic₆₇	C₂³	1	2	yes	complemented
565	D₄×Dic₆₇	C₂³	1	2	yes	complemented
566	D₄×Dic₆₇	C₂³	1	4	yes	complemented
567	#14524005	C₂³	1	4	yes	—
568	#14524005	C₂³	1	4	yes	—
569	#14524005	C₂³	1	4	yes	—
570	#14524005	C₂³	1	2	yes	complemented
571	#14524005	C₂³	1	2	yes	complemented
572	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
573	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
574	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
575	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
576	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
577	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
578	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
579	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
580	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
581	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
582	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
583	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
584	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
585	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
586	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
587	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
588	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
589	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
590	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
591	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
592	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
593	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
594	C₄×C₂²⋊D₆₇	C₂³	1	2	yes	—
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	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
599	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
601	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
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	4	yes	—
607	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
608	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
609	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
610	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
611	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
612	#14524002	C₂³	1	1	yes	characteristic
613	#14524002	C₂³	1	2	yes	—
614	#14524002	C₂³	1	1	yes	characteristic
615	#14524002	C₂³	1	2	yes	—
616	#14524002	C₂³	1	2	yes	—
617	#14524002	C₂³	1	1	yes	characteristic
618	#14524002	C₂³	1	2	yes	—
619	#14524002	C₂³	1	1	yes	characteristic
620	#14524002	C₂³	1	4	yes	complemented
621	#14524002	C₂³	1	1	yes	characteristic, complemented
622	#14524002	C₂³	1	1	yes	characteristic, complemented
623	#14524002	C₂³	1	2	yes	complemented
624	#14524002	C₂³	1	4	yes	complemented
625	#14524001	C₂³	1	4	yes	—
626	#14524001	C₂³	1	2	yes	—
627	#14524001	C₂³	1	2	yes	—
628	#14524000	C₂³	1	4	yes	—
629	#14524000	C₂³	1	4	yes	—
630	#14524000	C₂³	1	4	yes	complemented
631	#14524000	C₂³	1	4	yes	complemented
632	#14523999	C₂³	1	4	yes	—
633	#14523999	C₂³	1	4	yes	complemented
634	#14523999	C₂³	1	4	yes	complemented
635	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
636	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
637	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
638	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
639	C₂×Dic₆₇⋊C₄	C₂³	1	4	yes	complemented
640	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
641	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
642	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
643	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
644	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
645	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
646	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
647	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
648	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
649	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
650	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	complemented
651	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	4	yes	—
652	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
653	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
654	C₂²⋊C₄×D₆₇	C₂³	1	4	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	4	yes	—
659	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
660	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
661	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
662	C₂×C₄×Dic₆₇	C₂³	1	2	yes	complemented
663	C₂×C₄×Dic₆₇	C₂³	1	4	yes	complemented
664	C₄²×D₆₇	C₂³	1	4	yes	—
665	C₄²×D₆₇	C₂³	1	4	yes	complemented
666	C₂×#41×C₆₇	—	4	4	no	—
667	C₂×#41×C₆₇	—	4	4	no	—
668	C₂×#41×C₆₇	C₂³	1	2	yes	—
669	C₂×#41×C₆₇	C₂³	1	2	yes	—
670	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
671	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
672	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
673	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
674	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
675	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
676	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
677	C₂×#41×C₆₇	C₂³	1	1	yes	characteristic
678	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
679	C₂×#41×C₆₇	C₂³	1	2	yes	complemented
680	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
681	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
682	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
683	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
684	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
685	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
686	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
687	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
688	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
689	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
690	C₂³×C₄×C₆₇	C₂³	1	2	yes	complemented
691	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
692	C₄⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
693	#127×C₆₇	C₂³	1	2	yes	—
694	#127×C₆₇	C₂³	1	2	yes	—
695	#124×C₆₇	C₂³	1	2	yes	—
696	#124×C₆₇	C₂³	1	2	yes	—
697	#124×C₆₇	C₂³	1	2	yes	complemented
698	#124×C₆₇	C₂³	1	2	yes	complemented
699	#123×C₆₇	C₂³	1	4	yes	—
700	#123×C₆₇	C₂³	1	2	yes	—
701	#123×C₆₇	C₂³	1	4	yes	—
702	#123×C₆₇	C₂³	1	2	yes	—
703	#123×C₆₇	C₂³	1	2	yes	complemented
704	#123×C₆₇	C₂³	1	2	yes	complemented
705	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
706	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
707	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
708	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
709	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	complemented
710	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
711	#121×C₆₇	C₂³	1	2	yes	—
712	#121×C₆₇	C₂³	1	2	yes	—
713	#121×C₆₇	C₂³	1	4	yes	—
714	#121×C₆₇	C₂³	1	4	yes	—
715	#121×C₆₇	C₂³	1	4	yes	—
716	#121×C₆₇	C₂³	1	4	yes	—
717	#121×C₆₇	C₂³	1	2	yes	complemented
718	#121×C₆₇	C₂³	1	2	yes	complemented
719	#121×C₆₇	C₂³	1	4	yes	complemented
720	#121×C₆₇	C₂³	1	4	yes	complemented
721	#120×C₆₇	C₂³	1	4	yes	—
722	#120×C₆₇	C₂³	1	2	yes	—
723	#120×C₆₇	C₂³	1	4	yes	—
724	#120×C₆₇	C₂³	1	2	yes	—
725	#120×C₆₇	C₂³	1	2	yes	complemented
726	#120×C₆₇	C₂³	1	2	yes	complemented
727	C₄×D₄×C₆₇	C₂³	1	4	yes	—
728	C₄×D₄×C₆₇	C₂³	1	4	yes	—
729	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
730	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
731	#117×C₆₇	C₂³	1	2	yes	—
732	#117×C₆₇	C₂³	1	2	yes	—
733	#117×C₆₇	C₂³	1	2	yes	complemented
734	#117×C₆₇	C₂³	1	1	yes	characteristic, 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	2	yes	—
738	C₂×C₄²×C₆₇	C₂³	1	2	yes	complemented
739	C₂³×D₆₇	—	4	4	no	—
740	C₂³×D₆₇	—	4	2	no	—
741	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
742	C₂³×D₆₇	C₂⁴	1	2	yes	—
743	C₂³×D₆₇	C₂⁴	1	4	yes	—
744	C₂³×D₆₇	C₂⁴	1	2	yes	—
745	C₂³×D₆₇	C₂⁴	1	2	yes	—
746	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
747	#11761629	—	4	4	no	—
748	#11761628	—	2	8	no	—
749	#11761628	—	4	4	no	—
750	#11761628	—	4	8	no	—
751	#11761628	—	4	4	no	—
752	#11761628	—	4	8	no	—
753	#11761628	—	4	4	no	—
754	#11761627	—	4	4	no	—
755	#11761627	—	4	8	no	—
756	#11761627	—	4	8	no	—
757	C₂×Dic₁₃₄	—	4	2	no	—
758	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
759	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
760	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
761	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
762	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
763	Q₈×D₆₇	—	4	4	no	—
764	C₂×D₂₆₈	—	4	2	no	—
765	C₂×D₂₆₈	C₂⁴	1	4	yes	—
766	C₂×D₂₆₈	C₂⁴	1	2	yes	—
767	C₂×D₂₆₈	C₂⁴	1	4	yes	—
768	C₂×D₂₆₈	C₂⁴	1	4	yes	—
769	C₂×D₂₆₈	C₂⁴	1	2	yes	—
770	C₂×C₂²⋊D₆₇	—	4	4	no	—
771	C₂×C₂²⋊D₆₇	—	4	8	no	—
772	C₂×C₂²⋊D₆₇	—	4	4	no	—
773	C₂×C₂²⋊D₆₇	—	4	4	no	—
774	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
775	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
777	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
778	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
779	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
780	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
781	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
782	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
783	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
784	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
785	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
786	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
787	C₂×C₂²⋊D₆₇	C₂⁴	1	2	yes	—
788	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
789	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
790	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
791	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
792	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
794	D₄×D₆₇	—	4	4	no	—
795	D₄×D₆₇	—	4	8	no	—
796	D₄×D₆₇	—	4	8	no	—
797	D₄×D₆₇	—	4	8	no	—
798	D₄×D₆₇	—	4	8	no	—
799	C₂²×Dic₆₇	—	4	2	no	—
800	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
801	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
802	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
803	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
804	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
805	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
806	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
807	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
808	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
809	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
810	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
811	C₂×C₄×D₆₇	—	2	8	no	—
812	C₂×C₄×D₆₇	—	4	2	no	—
813	C₂×C₄×D₆₇	—	4	4	no	—
814	C₂×C₄×D₆₇	—	4	2	no	—
815	C₂×C₄×D₆₇	—	4	4	no	—
816	C₂×C₄×D₆₇	—	4	2	no	—
817	C₂×C₄×D₆₇	—	4	2	no	—
818	C₂×C₄×D₆₇	—	4	8	no	—
819	C₂×C₄×D₆₇	—	4	4	no	—
820	C₂×C₄×D₆₇	—	4	4	no	—
821	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
822	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
823	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
824	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
825	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
826	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
827	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
828	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
829	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
830	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
831	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
832	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
833	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
834	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
835	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
836	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
837	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
838	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
839	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
840	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
841	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
842	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
843	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
844	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
845	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
846	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
847	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
848	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
849	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
850	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
851	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
852	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
853	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
854	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
855	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
856	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
857	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
858	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
859	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
860	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
861	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
862	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
863	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
864	Dic₆₇⋊C₄	C₂⁴	1	2	yes	—
865	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
866	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
867	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
868	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
869	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
870	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
871	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
872	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
873	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
874	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
875	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
876	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
877	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
878	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
879	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
880	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
881	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
882	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
883	C₂²⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
884	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
885	C₂²⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
886	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
887	C₂²⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
888	C₂²⋊Dic₆₇	C₂⁴	1	1	yes	characteristic
889	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
890	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
891	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
892	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
893	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
894	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
895	C₂²⋊Dic₆₇	C₂⁴	1	2	yes	—
896	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
897	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
898	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
899	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
900	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
901	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
902	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
903	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
904	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
905	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
906	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
907	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
908	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
909	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
910	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
911	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
912	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
913	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
914	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
915	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
916	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
917	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
918	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
919	(C₂×D₆₇)⋊C₄	C₂⁴	1	2	yes	—
920	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
921	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
922	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
923	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
924	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
925	C₄×Dic₆₇	C₂⁴	1	4	yes	—
926	C₄×Dic₆₇	C₂⁴	1	4	yes	—
927	C₄×Dic₆₇	C₂⁴	1	4	yes	—
928	C₄×Dic₆₇	C₂⁴	1	2	yes	—
929	C₄×Dic₆₇	C₂⁴	1	4	yes	—
930	C₄×Dic₆₇	C₂⁴	1	4	yes	—
931	C₄×Dic₆₇	C₂⁴	1	2	yes	—
932	C₄×Dic₆₇	C₂⁴	1	2	yes	—
933	C₄×Dic₆₇	C₂⁴	1	2	yes	—
934	C₄×Dic₆₇	C₂⁴	1	2	yes	—
935	C₄×Dic₆₇	C₂⁴	1	4	yes	—
936	C₄×Dic₆₇	C₂⁴	1	2	yes	—
937	C₄×Dic₆₇	C₂⁴	1	4	yes	—
938	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
939	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
940	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
941	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
942	#41×C₆₇	—	2	8	no	—
943	#41×C₆₇	—	4	2	no	—
944	#41×C₆₇	—	4	2	no	—
945	#41×C₆₇	—	4	2	no	—
946	#41×C₆₇	—	4	2	no	—
947	#41×C₆₇	—	4	2	no	—
948	#41×C₆₇	—	4	2	no	—
949	#41×C₆₇	—	4	2	no	—
950	#41×C₆₇	—	4	2	no	—
951	#41×C₆₇	—	4	4	no	—
952	#41×C₆₇	—	4	4	no	—
953	#41×C₆₇	—	4	4	no	—
954	C₂×Q₈×C₆₇	—	4	2	no	—
955	C₂×Q₈×C₆₇	—	4	2	no	—
956	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
957	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
958	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
959	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
960	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
961	C₂×Q₈×C₆₇	C₂⁴	1	1	yes	characteristic
962	C₂×D₄×C₆₇	—	4	2	no	—
963	C₂×D₄×C₆₇	—	4	2	no	—
964	C₂×D₄×C₆₇	—	4	2	no	—
965	C₂×D₄×C₆₇	—	4	2	no	—
966	C₂×D₄×C₆₇	—	4	4	no	—
967	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
968	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
969	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
970	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
971	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
972	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
973	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
974	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
975	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
976	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
977	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
978	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
979	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
980	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
981	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
982	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
983	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
984	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
985	C₂×D₄×C₆₇	C₂⁴	1	1	yes	characteristic
986	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
987	C₂²×C₄×C₆₇	—	2	4	no	—
988	C₂²×C₄×C₆₇	—	2	4	no	—
989	C₂²×C₄×C₆₇	—	2	4	no	—
990	C₂²×C₄×C₆₇	—	4	4	no	—
991	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
992	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
993	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
994	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
995	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
996	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
997	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
998	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
999	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1000	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1001	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1002	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1003	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1004	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1005	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1006	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1007	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1008	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
1009	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
1010	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
1011	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1012	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1013	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
1014	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1015	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1016	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1017	C₄⋊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	2	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	4	yes	—
1027	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1028	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
1029	C₄²×C₆₇	C₂⁴	1	4	yes	—
1030	C₄²×C₆₇	C₂⁴	1	2	yes	—
1031	C₄²×C₆₇	C₂⁴	1	2	yes	—
1032	C₂³×C₆₇	—	2	2	no	—
1033	C₂³×C₆₇	—	2	2	no	—
1034	C₂³×C₆₇	—	2	2	no	—
1035	C₂³×C₆₇	—	4	2	no	—
1036	C₂³×C₆₇	—	4	2	no	—
1037	C₂³×C₆₇	—	4	2	no	—
1038	C₂³×C₆₇	—	4	2	no	—
1039	C₂³×C₆₇	—	4	4	no	—
1040	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1041	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1042	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1043	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1044	C₂³×C₆₇	C₂⁵	1	4	yes	—
1045	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1046	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1047	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
1048	C₂²×D₆₇	—	2	4	no	—
1049	C₂²×D₆₇	—	2	4	no	—
1050	C₂²×D₆₇	—	2	4	no	—
1051	C₂²×D₆₇	—	2	4	no	—
1052	C₂²×D₆₇	—	2	8	no	—
1053	C₂²×D₆₇	—	4	1	no	—
1054	C₂²×D₆₇	—	4	2	no	—
1055	C₂²×D₆₇	—	4	1	no	—
1056	C₂²×D₆₇	—	4	2	no	—
1057	C₂²×D₆₇	—	4	2	no	—
1058	C₂²×D₆₇	—	4	2	no	—
1059	C₂²×D₆₇	—	4	4	no	—
1060	C₂²×D₆₇	—	4	2	no	—
1061	C₂²×D₆₇	—	4	4	no	—
1062	C₂²×D₆₇	—	4	4	no	—
1063	C₂²×D₆₇	—	4	16	no	—
1064	C₂²×D₆₇	C₂⁵	1	2	yes	—
1065	C₂²×D₆₇	C₂⁵	1	4	yes	—
1066	C₂²×D₆₇	C₂⁵	1	2	yes	—
1067	Q₈×C₆₇	—	2	4	no	—
1068	Q₈×C₆₇	—	4	1	no	—
1069	Q₈×C₆₇	—	4	1	no	—
1070	Q₈×C₆₇	—	4	2	no	—
1071	Q₈×C₆₇	—	4	1	no	—
1072	Q₈×C₆₇	—	4	1	no	—
1073	D₄×C₆₇	—	2	8	no	—
1074	D₄×C₆₇	—	2	4	no	—
1075	D₄×C₆₇	—	4	1	no	—
1076	D₄×C₆₇	—	4	1	no	—
1077	D₄×C₆₇	—	4	4	no	—
1078	D₄×C₆₇	—	4	1	no	—
1079	D₄×C₆₇	—	4	1	no	—
1080	D₄×C₆₇	—	4	1	no	—
1081	D₄×C₆₇	—	4	1	no	—
1082	D₄×C₆₇	—	4	1	no	—
1083	D₄×C₆₇	—	4	1	no	—
1084	D₄×C₆₇	—	4	1	no	—
1085	D₄×C₆₇	—	4	1	no	—
1086	D₄×C₆₇	—	4	1	no	—
1087	D₄×C₆₇	—	4	1	no	—
1088	D₄×C₆₇	—	4	2	no	—
1089	D₄×C₆₇	—	4	4	no	—
1090	D₄×C₆₇	—	4	4	no	—
1091	D₄×C₆₇	—	4	4	no	—
1092	D₄×C₆₇	—	4	4	no	—
1093	C₂×C₄×C₆₇	—	2	2	no	—
1094	C₂×C₄×C₆₇	—	2	2	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	2	no	—
1099	C₂×C₄×C₆₇	—	2	2	no	—
1100	C₂×C₄×C₆₇	—	2	2	no	—
1101	C₂×C₄×C₆₇	—	2	2	no	—
1102	C₂×C₄×C₆₇	—	2	2	no	—
1103	C₂×C₄×C₆₇	—	2	2	no	—
1104	C₂×C₄×C₆₇	—	2	2	no	—
1105	C₂×C₄×C₆₇	—	2	2	no	—
1106	C₂×C₄×C₆₇	—	2	2	no	—
1107	C₂×C₄×C₆₇	—	2	2	no	—
1108	C₂×C₄×C₆₇	—	2	8	no	—
1109	C₂×C₄×C₆₇	—	4	2	no	—
1110	C₂×C₄×C₆₇	—	4	4	no	—
1111	C₂×C₄×C₆₇	—	4	4	no	—
1112	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	—
1113	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1114	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1115	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1116	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1117	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
1118	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1119	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1120	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1121	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1122	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1123	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
1124	C₂²⋊D₆₇	—	2	8	no	—
1125	C₂²⋊D₆₇	—	2	4	no	—
1126	C₂²⋊D₆₇	—	2	8	no	—
1127	C₂²⋊D₆₇	—	2	4	no	—
1128	C₂²⋊D₆₇	—	2	4	no	—
1129	C₂²⋊D₆₇	—	2	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	C₂²⋊D₆₇	—	4	2	no	—
1137	C₂²⋊D₆₇	—	4	2	no	—
1138	C₂²⋊D₆₇	—	4	4	no	—
1139	C₂²⋊D₆₇	—	4	2	no	—
1140	C₂²⋊D₆₇	—	4	4	no	—
1141	C₂²⋊D₆₇	—	4	2	no	—
1142	C₂²⋊D₆₇	—	4	4	no	—
1143	C₂²⋊D₆₇	—	4	4	no	—
1144	C₂×Dic₆₇	—	2	4	no	—
1145	C₂×Dic₆₇	—	4	1	no	—
1146	C₂×Dic₆₇	—	4	2	no	—
1147	C₂×Dic₆₇	—	4	1	no	—
1148	C₂×Dic₆₇	—	4	2	no	—
1149	C₂×Dic₆₇	—	4	4	no	—
1150	C₂×Dic₆₇	—	4	2	no	—
1151	C₂×Dic₆₇	—	4	2	no	—
1152	C₂×Dic₆₇	—	4	4	no	—
1153	C₂×Dic₆₇	—	4	4	no	—
1154	C₂×Dic₆₇	—	4	4	no	—
1155	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1156	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1157	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1158	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1159	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1160	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1161	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1162	C₂×Dic₆₇	C₂⁵	1	4	yes	—
1163	C₂×Dic₆₇	C₂⁵	1	2	yes	—
1164	D₂₆₈	—	2	8	no	—
1165	D₂₆₈	—	2	4	no	—
1166	D₂₆₈	—	4	4	no	—
1167	D₂₆₈	—	4	4	no	—
1168	D₂₆₈	—	4	2	no	—
1169	C₄×D₆₇	—	2	8	no	—
1170	C₄×D₆₇	—	2	4	no	—
1171	C₄×D₆₇	—	2	4	no	—
1172	C₄×D₆₇	—	2	4	no	—
1173	C₄×D₆₇	—	2	4	no	—
1174	C₄×D₆₇	—	2	8	no	—
1175	C₄×D₆₇	—	4	2	no	—
1176	C₄×D₆₇	—	4	2	no	—
1177	C₄×D₆₇	—	4	2	no	—
1178	C₄×D₆₇	—	4	2	no	—
1179	C₄×D₆₇	—	4	4	no	—
1180	C₄×D₆₇	—	4	4	no	—
1181	C₄×D₆₇	—	4	4	no	—
1182	C₄×D₆₇	—	4	4	no	—
1183	C₄×D₆₇	—	4	4	no	—
1184	C₄×D₆₇	—	4	4	no	—
1185	Dic₁₃₄	—	2	4	no	—
1186	Dic₁₃₄	—	4	4	no	—
1187	Dic₁₃₄	—	4	2	no	—
1188	Dic₁₃₄	—	4	4	no	—
1189	Dic₁₃₄	—	4	4	no	—
1190	C₂²×C₆₇	—	2	2	no	—
1191	C₂²×C₆₇	—	2	1	no	—
1192	C₂²×C₆₇	—	2	1	no	—
1193	C₂²×C₆₇	—	2	1	no	—
1194	C₂²×C₆₇	—	2	4	no	—
1195	C₂²×C₆₇	—	2	1	no	—
1196	C₂²×C₆₇	—	2	1	no	—
1197	C₂²×C₆₇	—	2	1	no	—
1198	C₂²×C₆₇	—	2	2	no	—
1199	C₂²×C₆₇	—	2	4	no	—
1200	C₂²×C₆₇	—	2	4	no	—
1201	C₂²×C₆₇	—	2	2	no	—
1202	C₂²×C₆₇	—	2	2	no	—
1203	C₂²×C₆₇	—	2	2	no	—
1204	C₂²×C₆₇	—	2	2	no	—
1205	C₂²×C₆₇	—	2	2	no	—
1206	C₂²×C₆₇	—	4	4	no	—
1207	C₂²×C₆₇	—	8	2	no	—
1208	C₂²×C₆₇	—	8	2	no	—
1209	C₂²×C₆₇	—	8	4	no	—
1210	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1211	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
1212	C₂×D₆₇	—	2	2	no	—
1213	C₂×D₆₇	—	2	2	no	—
1214	C₂×D₆₇	—	2	2	no	—
1215	C₂×D₆₇	—	2	4	no	—
1216	C₂×D₆₇	—	2	4	no	—
1217	C₂×D₆₇	—	2	4	no	—
1218	C₂×D₆₇	—	2	2	no	—
1219	C₂×D₆₇	—	2	2	no	—
1220	C₂×D₆₇	—	4	4	no	—
1221	C₂×D₆₇	—	4	8	no	—
1222	C₂×D₆₇	—	4	8	no	—
1223	C₂×D₆₇	—	4	4	no	—
1224	C₂×D₆₇	—	8	8	no	—
1225	C₂×D₆₇	—	8	4	no	—
1226	C₂×D₆₇	#585	1	4	yes	—
1227	C₄×C₆₇	—	2	1	no	—
1228	C₄×C₆₇	—	2	4	no	—
1229	C₄×C₆₇	—	2	1	no	—
1230	C₄×C₆₇	—	2	1	no	—
1231	C₄×C₆₇	—	2	1	no	—
1232	C₄×C₆₇	—	2	1	no	—
1233	C₄×C₆₇	—	2	1	no	—
1234	C₄×C₆₇	—	2	4	no	—
1235	C₄×C₆₇	—	2	4	no	—
1236	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1237	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
1238	Dic₆₇	—	2	4	no	—
1239	Dic₆₇	—	2	2	no	—
1240	Dic₆₇	—	2	2	no	—
1241	Dic₆₇	—	2	2	no	—
1242	Dic₆₇	—	2	2	no	—
1243	Dic₆₇	—	2	4	no	—
1244	Dic₆₇	—	2	4	no	—
1245	Dic₆₇	—	2	2	no	—
1246	Dic₆₇	—	2	2	no	—
1247	#62729	—	67	1	no	maximal, Sylow
1248	C₂×C₆₇	—	2	2	no	—
1249	C₂×C₆₇	—	4	1	no	—
1250	C₂×C₆₇	—	4	1	no	—
1251	C₂×C₆₇	—	4	1	no	—
1252	C₂×C₆₇	—	4	4	no	—
1253	C₂×C₆₇	—	4	1	no	—
1254	C₂×C₆₇	—	4	1	no	—
1255	C₂×C₆₇	—	4	1	no	—
1256	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1257	C₂×C₆₇	C₂×#585	1	2	yes	—
1258	D₆₇	—	2	4	no	—
1259	D₆₇	—	4	2	no	—
1260	D₆₇	—	4	4	no	—
1261	#3542	—	67	2	no	—
1262	#3542	—	67	2	no	—
1263	#3541	—	67	2	no	—
1264	#3541	—	67	2	no	—
1265	#3540	—	67	1	no	—
1266	#3540	—	67	1	no	—
1267	#3539	—	67	2	no	—
1268	#3538	—	67	1	no	—
1269	#3537	—	67	1	no	—
1270	#3536	—	67	2	no	—
1271	#3535	—	67	4	no	—
1272	#3534	—	67	4	no	—
1273	#3533	—	67	2	no	—
1274	#3533	—	67	2	no	—
1275	#3532	—	67	2	no	—
1276	#3532	—	67	2	no	—
1277	#3529	—	67	2	no	—
1278	#3529	—	67	2	no	—
1279	#3481	—	67	2	no	—
1280	#3481	—	67	2	no	—
1281	#3475	—	67	2	no	—
1282	#3475	—	67	2	no	—
1283	D₄×#41	—	67	2	no	—
1284	D₄×#41	—	67	2	no	—
1285	#3460	—	67	4	no	—
1286	#3459	—	67	4	no	—
1287	#3455	—	67	2	no	—
1288	#3449	—	67	1	no	—
1289	#3449	D₆₇	1	1	yes	characteristic, complemented
1290	C₂×#525	—	67	1	no	—
1291	C₂×#525	—	67	2	no	—
1292	C₆₇	#62729	1	1	yes	characteristic, complemented, Sylow
1293	C₂²×#41	—	67	2	no	—
1294	C₂²×#41	—	67	1	no	—
1295	C₂²×#41	C₂×D₆₇	1	1	yes	characteristic, complemented
1296	C₂²×#41	C₂×D₆₇	1	1	yes	characteristic, complemented
1297	C₂⁴×C₄	—	67	1	no	—
1298	#563	—	67	4	no	—
1299	#563	—	67	2	no	—
1300	#563	—	67	2	no	—
1301	#563	—	67	4	no	—
1302	#562	—	67	4	no	—
1303	#562	—	67	4	no	—
1304	#562	—	67	4	no	—
1305	#562	—	67	4	no	—
1306	#562	—	67	4	no	—
1307	#562	—	67	4	no	—
1308	H(3,𝔽₄)	—	67	2	no	—
1309	H(3,𝔽₄)	—	67	2	no	—
1310	#560	—	67	2	no	—
1311	#560	—	67	2	no	—
1312	#560	—	67	2	no	—
1313	#560	—	67	4	no	—
1314	#560	—	67	4	no	—
1315	#560	—	67	4	no	—
1316	#560	—	67	2	no	—
1317	#560	—	67	4	no	—
1318	#559	—	67	2	no	—
1319	#559	—	67	2	no	—
1320	#556	—	67	2	no	—
1321	#556	—	67	2	no	—
1322	#555	—	67	2	no	—
1323	#555	—	67	2	no	—
1324	#554	—	67	4	no	—
1325	#554	—	67	4	no	—
1326	#554	—	67	2	no	—
1327	#554	—	67	2	no	—
1328	#553	—	67	4	no	—
1329	#553	—	67	4	no	—
1330	#553	—	67	4	no	—
1331	#553	—	67	2	no	—
1332	#553	—	67	4	no	—
1333	#553	—	67	2	no	—
1334	#553	—	67	2	no	—
1335	#553	—	67	2	no	—
1336	#552	—	67	4	no	—
1337	#552	—	67	2	no	—
1338	#552	—	67	2	no	—
1339	#552	—	67	4	no	—
1340	#552	—	67	2	no	—
1341	#552	—	67	2	no	—
1342	#551	—	67	2	no	—
1343	#551	—	67	2	no	—
1344	#551	—	67	4	no	—
1345	#551	—	67	4	no	—
1346	#551	—	67	2	no	—
1347	#551	—	67	4	no	—
1348	#551	—	67	4	no	—
1349	#551	—	67	2	no	—
1350	#551	—	67	4	no	—
1351	#551	—	67	4	no	—
1352	#550	—	67	2	no	—
1353	#550	—	67	2	no	—
1354	D₄×Q₈	—	67	2	no	—
1355	D₄×Q₈	—	67	2	no	—
1356	#548	—	67	2	no	—
1357	#548	—	67	2	no	—
1358	#548	—	67	2	no	—
1359	#548	—	67	2	no	—
1360	#547	—	67	4	no	—
1361	#547	—	67	2	no	—
1362	#547	—	67	4	no	—
1363	#547	—	67	2	no	—
1364	#547	—	67	2	no	—
1365	#547	—	67	2	no	—
1366	#546	—	67	4	no	—
1367	#546	—	67	2	no	—
1368	#546	—	67	4	no	—
1369	#546	—	67	2	no	—
1370	#546	—	67	4	no	—
1371	#546	—	67	2	no	—
1372	#546	—	67	4	no	—
1373	#546	—	67	4	no	—
1374	#546	—	67	2	no	—
1375	#546	—	67	4	no	—
1376	#546	—	67	4	no	—
1377	#546	—	67	4	no	—
1378	#546	—	67	4	no	—
1379	#546	—	67	4	no	—
1380	D₄²	—	67	4	no	—
1381	D₄²	—	67	2	no	—
1382	D₄²	—	67	2	no	—
1383	D₄²	—	67	2	no	—
1384	D₄²	—	67	4	no	—
1385	D₄²	—	67	2	no	—
1386	#544	—	67	4	no	—
1387	#543	—	67	4	no	—
1388	#542	—	67	4	no	—
1389	#542	—	67	4	no	—
1390	#542	—	67	4	no	—
1391	#542	—	67	2	no	—
1392	#542	—	67	2	no	—
1393	#542	—	67	2	no	—
1394	#542	—	67	2	no	—
1395	#542	—	67	4	no	—
1396	#541	—	67	2	no	—
1397	#541	—	67	2	no	—
1398	#540	—	67	4	no	—
1399	#540	—	67	2	no	—
1400	#540	—	67	2	no	—
1401	#540	—	67	4	no	—
1402	#540	—	67	4	no	—
1403	#540	—	67	4	no	—
1404	#539	—	67	4	no	—
1405	#539	—	67	4	no	—
1406	#539	—	67	4	no	—
1407	#539	—	67	4	no	—
1408	#539	—	67	4	no	—
1409	#539	—	67	4	no	—
1410	#539	—	67	4	no	—
1411	#539	—	67	4	no	—
1412	#538	—	67	4	no	—
1413	#538	—	67	4	no	—
1414	#538	—	67	4	no	—
1415	#538	—	67	4	no	—
1416	#538	—	67	4	no	—
1417	#538	—	67	4	no	—
1418	#538	—	67	4	no	—
1419	#538	—	67	4	no	—
1420	#538	—	67	4	no	—
1421	#538	—	67	4	no	—
1422	#538	—	67	4	no	—
1423	#538	—	67	4	no	—
1424	#537	—	67	2	no	—
1425	#537	—	67	2	no	—
1426	#537	—	67	4	no	—
1427	#537	C₂×D₆₇	1	2	yes	complemented
1428	#537	C₂×D₆₇	1	2	yes	complemented
1429	#536	—	67	1	no	—
1430	#536	—	67	1	no	—
1431	#536	—	67	2	no	—
1432	#536	C₂×D₆₇	1	2	yes	complemented
1433	#536	C₂×D₆₇	1	1	yes	characteristic, complemented
1434	#536	C₂×D₆₇	1	1	yes	characteristic, complemented
1435	#535	—	67	1	no	—
1436	#535	—	67	1	no	—
1437	#535	—	67	2	no	—
1438	#535	—	67	4	no	—
1439	#535	—	67	4	no	—
1440	#535	C₂×D₆₇	1	2	yes	complemented
1441	#535	C₂×D₆₇	1	1	yes	characteristic, complemented
1442	#535	C₂×D₆₇	1	1	yes	characteristic, complemented
1443	#534	—	67	2	no	—
1444	#534	—	67	2	no	—
1445	#534	—	67	4	no	—
1446	#534	—	67	4	no	—
1447	#534	—	67	4	no	—
1448	#534	C₂×D₆₇	1	2	yes	complemented
1449	#534	C₂×D₆₇	1	2	yes	complemented
1450	#533	—	67	2	no	—
1451	#532	—	67	2	no	—
1452	#532	—	67	2	no	—
1453	#532	—	67	2	no	—
1454	#532	—	67	4	no	—
1455	#532	—	67	4	no	—
1456	#532	C₂×D₆₇	1	2	yes	complemented
1457	#532	C₂×D₆₇	1	2	yes	complemented
1458	#529	—	67	4	no	—
1459	#529	—	67	4	no	—
1460	#529	—	67	4	no	—
1461	#529	—	67	4	no	—
1462	#529	—	67	4	no	—
1463	#529	—	67	4	no	—
1464	#529	—	67	4	no	—
1465	#529	—	67	4	no	—
1466	#529	—	67	4	no	—
1467	#529	—	67	4	no	—
1468	#525	—	67	2	no	—
1469	#525	—	67	2	no	—
1470	#525	—	67	2	no	—
1471	#525	—	67	1	no	—
1472	#525	—	67	1	no	—
1473	#525	—	67	1	no	—
1474	#525	—	67	1	no	—
1475	#525	—	67	1	no	—
1476	#525	—	67	1	no	—
1477	#525	—	67	1	no	—
1478	#525	—	67	1	no	—
1479	#525	—	67	2	no	—
1480	#525	—	67	2	no	—
1481	#525	—	67	2	no	—
1482	#525	—	67	2	no	—
1483	#525	—	67	4	no	—
1484	#525	—	67	2	no	—
1485	#525	—	67	2	no	—
1486	#525	—	67	4	no	—
1487	#525	—	67	4	no	—
1488	#525	—	67	2	no	—
1489	#525	—	67	2	no	—
1490	#525	—	67	2	no	—
1491	#525	—	67	2	no	—
1492	#525	—	67	4	no	—
1493	#525	—	67	4	no	—
1494	#525	—	67	4	no	—
1495	#525	—	67	4	no	—
1496	#525	—	67	4	no	—
1497	#525	—	67	2	no	—
1498	#525	C₂×D₆₇	1	2	yes	complemented
1499	#525	C₂×D₆₇	1	2	yes	complemented
1500	#525	C₂×D₆₇	1	2	yes	complemented
1501	#525	C₂×D₆₇	1	2	yes	complemented
1502	C₂×#123	—	67	1	no	—
1503	C₂×#123	—	67	1	no	—
1504	C₂×#123	—	67	4	no	—
1505	C₂×C₂²⋊Q₈	—	67	2	no	—
1506	C₂×C₂²⋊Q₈	—	67	2	no	—
1507	C₂×C₂²⋊Q₈	—	67	2	no	—
1508	C₂×#121	—	67	2	no	—
1509	C₂×#121	—	67	2	no	—
1510	C₂×#121	—	67	2	no	—
1511	C₂×#120	—	67	1	no	—
1512	C₂×#120	—	67	1	no	—
1513	C₂×#120	—	67	4	no	—
1514	C₄×#41	—	67	2	no	—
1515	C₄×#41	—	67	4	no	—
1516	C₄×#41	—	67	2	no	—
1517	C₄×#41	—	67	4	no	—
1518	C₂×C₄×D₄	—	67	2	no	—
1519	C₂×C₄×D₄	—	67	2	no	—
1520	C₂×C₄×D₄	—	67	4	no	—
1521	C₂×C₄×D₄	—	67	4	no	—
1522	C₂×C₄×D₄	—	67	4	no	—
1523	C₂×C₄×D₄	—	67	4	no	—
1524	C₂×#117	—	67	1	no	—
1525	C₂×#117	—	67	1	no	—
1526	C₂×#117	—	67	2	no	—
1527	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
1528	C₂⁵	—	67	1	no	—
1529	C₂×#41	—	4	4	no	—
1530	C₂×#41	—	4	4	no	—
1531	C₂×#41	—	268	4	no	—
1532	C₂×#41	—	268	8	no	—
1533	C₂×#41	—	67	2	no	—
1534	C₂×#41	—	67	4	no	—
1535	C₂×#41	—	67	4	no	—
1536	C₂×#41	—	67	2	no	—
1537	C₂×#41	—	67	4	no	—
1538	C₂×#41	—	67	4	no	—
1539	C₂×#41	—	67	2	no	—
1540	C₂×#41	—	67	2	no	—
1541	C₂×#41	—	67	2	no	—
1542	C₂×#41	—	67	2	no	—
1543	C₂×#41	C₂²×D₆₇	1	2	yes	—
1544	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1545	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1546	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1547	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1548	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1549	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1550	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1551	C₂×#41	C₂²×D₆₇	1	1	yes	characteristic
1552	C₂×#41	C₂²×D₆₇	1	2	yes	—
1553	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1554	C₂×#41	C₂²×D₆₇	1	2	yes	complemented
1555	C₂²×Q₈	—	67	2	no	—
1556	C₂²×Q₈	—	67	1	no	—
1557	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
1558	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
1559	C₂²×D₄	—	67	2	no	—
1560	C₂²×D₄	—	67	2	no	—
1561	C₂²×D₄	—	67	4	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	4	no	—
1567	C₂²×D₄	—	67	2	no	—
1568	C₂²×D₄	—	67	1	no	—
1569	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1570	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1571	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1572	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1573	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
1574	C₂³×C₄	—	268	4	no	—
1575	C₂³×C₄	—	67	1	no	—
1576	C₂³×C₄	—	67	1	no	—
1577	C₂³×C₄	—	67	4	no	—
1578	C₂³×C₄	—	67	2	no	—
1579	C₂³×C₄	—	67	2	no	—
1580	C₂³×C₄	—	67	1	no	—
1581	C₂³×C₄	—	67	2	no	—
1582	C₂³×C₄	—	67	2	no	—
1583	C₂³×C₄	—	67	1	no	—
1584	C₂³×C₄	—	67	1	no	—
1585	C₂³×C₄	—	67	2	no	—
1586	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1587	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1588	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1589	C₂³×C₄	C₂²×D₆₇	1	2	yes	complemented
1590	C₄⋊Q₈	—	67	2	no	—
1591	C₄⋊Q₈	—	67	2	no	—
1592	C₄⋊Q₈	—	67	2	no	—
1593	C₄⋊Q₈	—	67	4	no	—
1594	C₄⋊Q₈	—	67	4	no	—
1595	C₄⋊Q₈	—	67	2	no	—
1596	C₄⋊Q₈	—	67	2	no	—
1597	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1598	C₄⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1599	#127	—	67	2	no	—
1600	#127	—	67	2	no	—
1601	#127	—	67	4	no	—
1602	#127	—	67	4	no	—
1603	#127	—	67	2	no	—
1604	#127	C₂²×D₆₇	1	2	yes	—
1605	#127	C₂²×D₆₇	1	2	yes	—
1606	#126	—	67	4	no	—
1607	#126	—	67	4	no	—
1608	#126	—	67	4	no	—
1609	#126	—	67	4	no	—
1610	#126	—	67	4	no	—
1611	#126	—	67	4	no	—
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	#125	—	67	4	no	—
1627	#125	—	67	4	no	—
1628	#125	—	67	4	no	—
1629	#125	—	67	4	no	—
1630	#125	—	67	4	no	—
1631	#125	—	67	4	no	—
1632	#125	—	67	4	no	—
1633	#125	—	67	4	no	—
1634	#125	—	67	4	no	—
1635	#125	—	67	2	no	—
1636	#125	—	67	2	no	—
1637	#125	—	67	4	no	—
1638	#124	—	67	2	no	—
1639	#124	—	67	2	no	—
1640	#124	—	67	4	no	—
1641	#124	—	67	2	no	—
1642	#124	—	67	4	no	—
1643	#124	—	67	4	no	—
1644	#124	—	67	4	no	—
1645	#124	—	67	2	no	—
1646	#124	—	67	2	no	—
1647	#124	—	67	4	no	—
1648	#124	—	67	2	no	—
1649	#124	—	67	4	no	—
1650	#124	—	67	4	no	—
1651	#124	—	67	4	no	—
1652	#124	—	67	4	no	—
1653	#124	—	67	4	no	—
1654	#124	—	67	4	no	—
1655	#124	—	67	4	no	—
1656	#124	—	67	4	no	—
1657	#124	—	67	4	no	—
1658	#124	C₂²×D₆₇	1	2	yes	—
1659	#124	C₂²×D₆₇	1	2	yes	—
1660	#124	C₂²×D₆₇	1	2	yes	complemented
1661	#124	C₂²×D₆₇	1	2	yes	complemented
1662	#123	—	67	2	no	—
1663	#123	—	67	2	no	—
1664	#123	—	67	2	no	—
1665	#123	—	67	2	no	—
1666	#123	—	67	4	no	—
1667	#123	—	67	1	no	—
1668	#123	—	67	1	no	—
1669	#123	—	67	1	no	—
1670	#123	—	67	1	no	—
1671	#123	—	67	1	no	—
1672	#123	—	67	1	no	—
1673	#123	—	67	1	no	—
1674	#123	—	67	1	no	—
1675	#123	—	67	2	no	—
1676	#123	—	67	2	no	—
1677	#123	—	67	2	no	—
1678	#123	—	67	2	no	—
1679	#123	—	67	4	no	—
1680	#123	—	67	4	no	—
1681	#123	—	67	4	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	4	no	—
1688	#123	—	67	4	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	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	C₂²×D₆₇	1	4	yes	—
1715	#123	C₂²×D₆₇	1	2	yes	—
1716	#123	C₂²×D₆₇	1	4	yes	—
1717	#123	C₂²×D₆₇	1	2	yes	—
1718	#123	C₂²×D₆₇	1	2	yes	complemented
1719	#123	C₂²×D₆₇	1	2	yes	complemented
1720	C₂²⋊Q₈	—	67	2	no	—
1721	C₂²⋊Q₈	—	67	2	no	—
1722	C₂²⋊Q₈	—	67	2	no	—
1723	C₂²⋊Q₈	—	67	2	no	—
1724	C₂²⋊Q₈	—	67	2	no	—
1725	C₂²⋊Q₈	—	67	2	no	—
1726	C₂²⋊Q₈	—	67	2	no	—
1727	C₂²⋊Q₈	—	67	2	no	—
1728	C₂²⋊Q₈	—	67	2	no	—
1729	C₂²⋊Q₈	—	67	2	no	—
1730	C₂²⋊Q₈	—	67	4	no	—
1731	C₂²⋊Q₈	—	67	4	no	—
1732	C₂²⋊Q₈	—	67	4	no	—
1733	C₂²⋊Q₈	—	67	4	no	—
1734	C₂²⋊Q₈	—	67	2	no	—
1735	C₂²⋊Q₈	—	67	2	no	—
1736	C₂²⋊Q₈	—	67	2	no	—
1737	C₂²⋊Q₈	—	67	2	no	—
1738	C₂²⋊Q₈	—	67	4	no	—
1739	C₂²⋊Q₈	—	67	4	no	—
1740	C₂²⋊Q₈	—	67	4	no	—
1741	C₂²⋊Q₈	—	67	4	no	—
1742	C₂²⋊Q₈	—	67	2	no	—
1743	C₂²⋊Q₈	—	67	2	no	—
1744	C₂²⋊Q₈	—	67	4	no	—
1745	C₂²⋊Q₈	—	67	4	no	—
1746	C₂²⋊Q₈	—	67	4	no	—
1747	C₂²⋊Q₈	—	67	4	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	—	67	4	no	—
1762	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1763	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1764	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1765	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1766	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	complemented
1767	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1768	#121	—	67	2	no	—
1769	#121	—	67	2	no	—
1770	#121	—	67	2	no	—
1771	#121	—	67	4	no	—
1772	#121	—	67	2	no	—
1773	#121	—	67	2	no	—
1774	#121	—	67	2	no	—
1775	#121	—	67	2	no	—
1776	#121	—	67	2	no	—
1777	#121	—	67	2	no	—
1778	#121	—	67	2	no	—
1779	#121	—	67	4	no	—
1780	#121	—	67	4	no	—
1781	#121	—	67	4	no	—
1782	#121	—	67	4	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	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	2	no	—
1805	#121	—	67	2	no	—
1806	#121	—	67	4	no	—
1807	#121	—	67	2	no	—
1808	#121	—	67	2	no	—
1809	#121	—	67	4	no	—
1810	#121	—	67	4	no	—
1811	#121	—	67	2	no	—
1812	#121	—	67	2	no	—
1813	#121	—	67	4	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	4	no	—
1820	#121	—	67	4	no	—
1821	#121	—	67	4	no	—
1822	#121	C₂²×D₆₇	1	2	yes	—
1823	#121	C₂²×D₆₇	1	2	yes	—
1824	#121	C₂²×D₆₇	1	4	yes	—
1825	#121	C₂²×D₆₇	1	4	yes	—
1826	#121	C₂²×D₆₇	1	4	yes	—
1827	#121	C₂²×D₆₇	1	4	yes	—
1828	#121	C₂²×D₆₇	1	2	yes	complemented
1829	#121	C₂²×D₆₇	1	2	yes	complemented
1830	#121	C₂²×D₆₇	1	4	yes	complemented
1831	#121	C₂²×D₆₇	1	4	yes	complemented
1832	#120	—	67	4	no	—
1833	#120	—	67	4	no	—
1834	#120	—	67	4	no	—
1835	#120	—	67	4	no	—
1836	#120	—	67	2	no	—
1837	#120	—	67	2	no	—
1838	#120	—	67	4	no	—
1839	#120	—	67	2	no	—
1840	#120	—	67	2	no	—
1841	#120	—	67	1	no	—
1842	#120	—	67	1	no	—
1843	#120	—	67	4	no	—
1844	#120	—	67	1	no	—
1845	#120	—	67	1	no	—
1846	#120	—	67	1	no	—
1847	#120	—	67	1	no	—
1848	#120	—	67	4	no	—
1849	#120	—	67	1	no	—
1850	#120	—	67	1	no	—
1851	#120	—	67	2	no	—
1852	#120	—	67	2	no	—
1853	#120	—	67	2	no	—
1854	#120	—	67	2	no	—
1855	#120	—	67	4	no	—
1856	#120	—	67	4	no	—
1857	#120	—	67	4	no	—
1858	#120	—	67	4	no	—
1859	#120	—	67	4	no	—
1860	#120	—	67	4	no	—
1861	#120	—	67	4	no	—
1862	#120	—	67	4	no	—
1863	#120	—	67	4	no	—
1864	#120	C₂²×D₆₇	1	4	yes	—
1865	#120	C₂²×D₆₇	1	2	yes	—
1866	#120	C₂²×D₆₇	1	4	yes	—
1867	#120	C₂²×D₆₇	1	2	yes	—
1868	#120	C₂²×D₆₇	1	2	yes	complemented
1869	#120	C₂²×D₆₇	1	2	yes	complemented
1870	C₄×Q₈	—	67	2	no	—
1871	C₄×Q₈	—	67	2	no	—
1872	C₄×Q₈	—	67	2	no	—
1873	C₄×Q₈	—	67	2	no	—
1874	C₄×Q₈	—	67	4	no	—
1875	C₄×Q₈	—	67	4	no	—
1876	C₄×Q₈	—	67	4	no	—
1877	C₄×Q₈	—	67	4	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	4	no	—
1884	C₄×D₄	—	67	2	no	—
1885	C₄×D₄	—	67	2	no	—
1886	C₄×D₄	—	67	2	no	—
1887	C₄×D₄	—	67	2	no	—
1888	C₄×D₄	—	67	4	no	—
1889	C₄×D₄	—	67	2	no	—
1890	C₄×D₄	—	67	2	no	—
1891	C₄×D₄	—	67	2	no	—
1892	C₄×D₄	—	67	2	no	—
1893	C₄×D₄	—	67	4	no	—
1894	C₄×D₄	—	67	4	no	—
1895	C₄×D₄	—	67	4	no	—
1896	C₄×D₄	—	67	4	no	—
1897	C₄×D₄	—	67	2	no	—
1898	C₄×D₄	—	67	2	no	—
1899	C₄×D₄	—	67	4	no	—
1900	C₄×D₄	—	67	4	no	—
1901	C₄×D₄	—	67	2	no	—
1902	C₄×D₄	—	67	2	no	—
1903	C₄×D₄	—	67	2	no	—
1904	C₄×D₄	—	67	2	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	4	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	4	no	—
1916	C₄×D₄	—	67	4	no	—
1917	C₄×D₄	—	67	4	no	—
1918	C₄×D₄	—	67	4	no	—
1919	C₄×D₄	—	67	2	no	—
1920	C₄×D₄	—	67	2	no	—
1921	C₄×D₄	—	67	4	no	—
1922	C₄×D₄	—	67	4	no	—
1923	C₄×D₄	—	67	4	no	—
1924	C₄×D₄	—	67	4	no	—
1925	C₄×D₄	—	67	4	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	4	no	—
1932	C₄×D₄	—	67	4	no	—
1933	C₄×D₄	—	67	4	no	—
1934	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1935	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1936	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1937	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1938	#117	—	67	2	no	—
1939	#117	—	67	1	no	—
1940	#117	—	67	1	no	—
1941	#117	—	67	2	no	—
1942	#117	—	67	2	no	—
1943	#117	—	67	1	no	—
1944	#117	—	67	2	no	—
1945	#117	—	67	1	no	—
1946	#117	—	67	2	no	—
1947	#117	—	67	1	no	—
1948	#117	—	67	1	no	—
1949	#117	—	67	4	no	—
1950	#117	—	67	4	no	—
1951	#117	—	67	2	no	—
1952	#117	—	67	2	no	—
1953	#117	—	67	4	no	—
1954	#117	—	67	4	no	—
1955	#117	—	67	4	no	—
1956	#117	—	67	4	no	—
1957	#117	—	67	4	no	—
1958	#117	—	67	4	no	—
1959	#117	—	67	4	no	—
1960	#117	—	67	4	no	—
1961	#117	C₂²×D₆₇	1	2	yes	—
1962	#117	C₂²×D₆₇	1	2	yes	—
1963	#117	C₂²×D₆₇	1	2	yes	complemented
1964	#117	C₂²×D₆₇	1	1	yes	characteristic, complemented
1965	#117	C₂²×D₆₇	1	1	yes	characteristic, complemented
1966	C₂×C₄⋊C₄	—	67	2	no	—
1967	C₂×C₄⋊C₄	—	67	2	no	—
1968	C₂×C₄⋊C₄	—	67	2	no	—
1969	C₂×C₄⋊C₄	—	67	2	no	—
1970	C₂×C₄⋊C₄	—	67	4	no	—
1971	C₂×C₄⋊C₄	—	67	2	no	—
1972	C₂×C₄⋊C₄	—	67	2	no	—
1973	C₂×C₄⋊C₄	—	67	4	no	—
1974	C₂×C₄⋊C₄	—	67	4	no	—
1975	C₂×C₄⋊C₄	—	67	4	no	—
1976	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
1977	C₂×C₂²⋊C₄	—	67	1	no	—
1978	C₂×C₂²⋊C₄	—	67	1	no	—
1979	C₂×C₂²⋊C₄	—	67	2	no	—
1980	C₂×C₂²⋊C₄	—	67	2	no	—
1981	C₂×C₂²⋊C₄	—	67	2	no	—
1982	C₂×C₂²⋊C₄	—	67	4	no	—
1983	C₂×C₂²⋊C₄	—	67	2	no	—
1984	C₂×C₂²⋊C₄	—	67	2	no	—
1985	C₂×C₂²⋊C₄	—	67	4	no	—
1986	C₂×C₂²⋊C₄	—	67	4	no	—
1987	C₂×C₂²⋊C₄	—	67	4	no	—
1988	C₂×C₂²⋊C₄	—	67	4	no	—
1989	C₂×C₂²⋊C₄	—	67	4	no	—
1990	C₂×C₂²⋊C₄	—	67	4	no	—
1991	C₂×C₂²⋊C₄	—	67	4	no	—
1992	C₂×C₂²⋊C₄	—	67	4	no	—
1993	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1994	C₂×C₄²	—	67	2	no	—
1995	C₂×C₄²	—	67	2	no	—
1996	C₂×C₄²	—	67	4	no	—
1997	C₂×C₄²	—	67	4	no	—
1998	C₂×C₄²	—	67	4	no	—
1999	C₂×C₄²	C₂²×D₆₇	1	2	yes	complemented
2000	C₂⁴	—	268	2	no	—
2001	C₂⁴	—	268	4	no	—
2002	C₂⁴	—	67	2	no	—
2003	C₂⁴	—	67	1	no	—
2004	C₂⁴	—	67	4	no	—
2005	C₂⁴	—	67	2	no	—
2006	C₂⁴	—	67	1	no	—
2007	C₂⁴	—	67	2	no	—
2008	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2009	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2010	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
2011	C₂⁴	C₂³×D₆₇	1	2	yes	—
2012	#41	—	2	8	no	—
2013	#41	—	4	2	no	—
2014	#41	—	4	2	no	—
2015	#41	—	4	2	no	—
2016	#41	—	4	2	no	—
2017	#41	—	4	2	no	—
2018	#41	—	4	2	no	—
2019	#41	—	4	2	no	—
2020	#41	—	4	2	no	—
2021	#41	—	4	4	no	—
2022	#41	—	4	4	no	—
2023	#41	—	4	4	no	—
2024	#41	—	268	4	no	—
2025	#41	—	268	4	no	—
2026	#41	—	268	4	no	—
2027	#41	—	268	8	no	—
2028	#41	—	268	8	no	—
2029	#41	—	268	4	no	—
2030	#41	—	268	8	no	—
2031	#41	—	268	8	no	—
2032	#41	—	268	4	no	—
2033	#41	—	134	8	no	—
2034	C₂×Q₈	—	4	2	no	—
2035	C₂×Q₈	—	4	2	no	—
2036	C₂×Q₈	—	268	2	no	—
2037	C₂×Q₈	—	268	4	no	—
2038	C₂×Q₈	—	67	4	no	—
2039	C₂×Q₈	—	67	4	no	—
2040	C₂×Q₈	—	67	4	no	—
2041	C₂×Q₈	—	67	2	no	—
2042	C₂×Q₈	—	67	2	no	—
2043	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2044	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2045	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2046	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2047	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
2048	C₂×Q₈	C₂³×D₆₇	1	1	yes	characteristic
2049	C₂×D₄	—	4	2	no	—
2050	C₂×D₄	—	4	2	no	—
2051	C₂×D₄	—	4	2	no	—
2052	C₂×D₄	—	4	2	no	—
2053	C₂×D₄	—	4	4	no	—
2054	C₂×D₄	—	268	2	no	—
2055	C₂×D₄	—	268	8	no	—
2056	C₂×D₄	—	268	8	no	—
2057	C₂×D₄	—	268	8	no	—
2058	C₂×D₄	—	268	4	no	—
2059	C₂×D₄	—	268	8	no	—
2060	C₂×D₄	—	268	4	no	—
2061	C₂×D₄	—	268	4	no	—
2062	C₂×D₄	—	268	4	no	—
2063	C₂×D₄	—	268	8	no	—
2064	C₂×D₄	—	67	2	no	—
2065	C₂×D₄	—	67	2	no	—
2066	C₂×D₄	—	67	4	no	—
2067	C₂×D₄	—	67	4	no	—
2068	C₂×D₄	—	67	4	no	—
2069	C₂×D₄	—	67	4	no	—
2070	C₂×D₄	—	67	4	no	—
2071	C₂×D₄	—	67	2	no	—
2072	C₂×D₄	—	67	2	no	—
2073	C₂×D₄	—	67	4	no	—
2074	C₂×D₄	—	67	4	no	—
2075	C₂×D₄	—	67	4	no	—
2076	C₂×D₄	—	67	4	no	—
2077	C₂×D₄	—	67	4	no	—
2078	C₂×D₄	—	67	2	no	—
2079	C₂×D₄	—	67	2	no	—
2080	C₂×D₄	—	67	4	no	—
2081	C₂×D₄	—	67	2	no	—
2082	C₂×D₄	—	67	2	no	—
2083	C₂×D₄	—	67	4	no	—
2084	C₂×D₄	—	67	4	no	—
2085	C₂×D₄	—	67	4	no	—
2086	C₂×D₄	—	67	2	no	—
2087	C₂×D₄	—	67	4	no	—
2088	C₂×D₄	—	67	2	no	—
2089	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2090	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2091	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2092	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2093	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2094	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2095	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2096	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2097	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2098	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2099	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2100	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2101	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2102	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2103	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2104	C₂×D₄	C₂³×D₆₇	1	2	yes	—
2105	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2106	C₂×D₄	C₂³×D₆₇	1	4	yes	—
2107	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2108	C₂×D₄	C₂³×D₆₇	1	1	yes	characteristic
2109	C₂²×C₄	—	2	4	no	—
2110	C₂²×C₄	—	2	4	no	—
2111	C₂²×C₄	—	2	4	no	—
2112	C₂²×C₄	—	4	4	no	—
2113	C₂²×C₄	—	268	4	no	—
2114	C₂²×C₄	—	268	2	no	—
2115	C₂²×C₄	—	268	4	no	—
2116	C₂²×C₄	—	268	2	no	—
2117	C₂²×C₄	—	268	4	no	—
2118	C₂²×C₄	—	268	2	no	—
2119	C₂²×C₄	—	268	2	no	—
2120	C₂²×C₄	—	268	4	no	—
2121	C₂²×C₄	—	268	8	no	—
2122	C₂²×C₄	—	268	2	no	—
2123	C₂²×C₄	—	67	2	no	—
2124	C₂²×C₄	—	67	2	no	—
2125	C₂²×C₄	—	67	4	no	—
2126	C₂²×C₄	—	67	4	no	—
2127	C₂²×C₄	—	67	4	no	—
2128	C₂²×C₄	—	67	4	no	—
2129	C₂²×C₄	—	67	1	no	—
2130	C₂²×C₄	—	67	2	no	—
2131	C₂²×C₄	—	67	2	no	—
2132	C₂²×C₄	—	67	1	no	—
2133	C₂²×C₄	—	67	4	no	—
2134	C₂²×C₄	—	67	4	no	—
2135	C₂²×C₄	—	67	4	no	—
2136	C₂²×C₄	—	67	2	no	—
2137	C₂²×C₄	—	67	4	no	—
2138	C₂²×C₄	—	67	2	no	—
2139	C₂²×C₄	—	67	4	no	—
2140	C₂²×C₄	—	67	4	no	—
2141	C₂²×C₄	—	67	2	no	—
2142	C₂²×C₄	—	67	2	no	—
2143	C₂²×C₄	—	67	2	no	—
2144	C₂²×C₄	—	67	4	no	—
2145	C₂²×C₄	—	67	2	no	—
2146	C₂²×C₄	—	67	2	no	—
2147	C₂²×C₄	—	67	2	no	—
2148	C₂²×C₄	—	67	4	no	—
2149	C₂²×C₄	—	67	2	no	—
2150	C₂²×C₄	—	134	8	no	—
2151	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2152	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2153	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2154	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2155	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2156	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2157	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2158	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2159	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2160	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2161	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2162	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2163	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2164	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2165	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2166	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2167	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2168	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
2169	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
2170	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
2171	C₄⋊C₄	—	67	2	no	—
2172	C₄⋊C₄	—	67	2	no	—
2173	C₄⋊C₄	—	67	2	no	—
2174	C₄⋊C₄	—	67	2	no	—
2175	C₄⋊C₄	—	67	4	no	—
2176	C₄⋊C₄	—	67	4	no	—
2177	C₄⋊C₄	—	67	2	no	—
2178	C₄⋊C₄	—	67	2	no	—
2179	C₄⋊C₄	—	67	2	no	—
2180	C₄⋊C₄	—	67	4	no	—
2181	C₄⋊C₄	—	67	4	no	—
2182	C₄⋊C₄	—	67	2	no	—
2183	C₄⋊C₄	—	67	2	no	—
2184	C₄⋊C₄	—	67	4	no	—
2185	C₄⋊C₄	—	67	2	no	—
2186	C₄⋊C₄	—	67	4	no	—
2187	C₄⋊C₄	—	67	4	no	—
2188	C₄⋊C₄	—	67	2	no	—
2189	C₄⋊C₄	—	67	2	no	—
2190	C₄⋊C₄	—	67	4	no	—
2191	C₄⋊C₄	—	67	4	no	—
2192	C₄⋊C₄	—	67	4	no	—
2193	C₄⋊C₄	—	67	4	no	—
2194	C₄⋊C₄	—	67	4	no	—
2195	C₄⋊C₄	—	67	2	no	—
2196	C₄⋊C₄	—	67	2	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	—	67	4	no	—
2203	C₄⋊C₄	—	67	4	no	—
2204	C₄⋊C₄	—	67	4	no	—
2205	C₄⋊C₄	—	67	4	no	—
2206	C₄⋊C₄	—	67	4	no	—
2207	C₄⋊C₄	—	67	4	no	—
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	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2214	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
2215	C₂²⋊C₄	—	67	2	no	—
2216	C₂²⋊C₄	—	67	2	no	—
2217	C₂²⋊C₄	—	67	4	no	—
2218	C₂²⋊C₄	—	67	4	no	—
2219	C₂²⋊C₄	—	67	2	no	—
2220	C₂²⋊C₄	—	67	2	no	—
2221	C₂²⋊C₄	—	67	1	no	—
2222	C₂²⋊C₄	—	67	1	no	—
2223	C₂²⋊C₄	—	67	2	no	—
2224	C₂²⋊C₄	—	67	2	no	—
2225	C₂²⋊C₄	—	67	2	no	—
2226	C₂²⋊C₄	—	67	2	no	—
2227	C₂²⋊C₄	—	67	1	no	—
2228	C₂²⋊C₄	—	67	1	no	—
2229	C₂²⋊C₄	—	67	2	no	—
2230	C₂²⋊C₄	—	67	2	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	4	no	—
2237	C₂²⋊C₄	—	67	2	no	—
2238	C₂²⋊C₄	—	67	2	no	—
2239	C₂²⋊C₄	—	67	4	no	—
2240	C₂²⋊C₄	—	67	4	no	—
2241	C₂²⋊C₄	—	67	4	no	—
2242	C₂²⋊C₄	—	67	2	no	—
2243	C₂²⋊C₄	—	67	2	no	—
2244	C₂²⋊C₄	—	67	4	no	—
2245	C₂²⋊C₄	—	67	4	no	—
2246	C₂²⋊C₄	—	67	4	no	—
2247	C₂²⋊C₄	—	67	2	no	—
2248	C₂²⋊C₄	—	67	2	no	—
2249	C₂²⋊C₄	—	67	4	no	—
2250	C₂²⋊C₄	—	67	4	no	—
2251	C₂²⋊C₄	—	67	2	no	—
2252	C₂²⋊C₄	—	67	2	no	—
2253	C₂²⋊C₄	—	67	4	no	—
2254	C₂²⋊C₄	—	67	4	no	—
2255	C₂²⋊C₄	—	67	2	no	—
2256	C₂²⋊C₄	—	67	2	no	—
2257	C₂²⋊C₄	—	67	4	no	—
2258	C₂²⋊C₄	—	67	4	no	—
2259	C₂²⋊C₄	—	67	4	no	—
2260	C₂²⋊C₄	—	67	4	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	C₂³×D₆₇	1	4	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	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2272	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2273	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2274	C₂²⋊C₄	C₂³×D₆₇	1	2	yes	—
2275	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2276	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
2277	C₄²	—	67	2	no	—
2278	C₄²	—	67	4	no	—
2279	C₄²	—	67	4	no	—
2280	C₄²	—	67	2	no	—
2281	C₄²	—	67	2	no	—
2282	C₄²	—	67	4	no	—
2283	C₄²	—	67	4	no	—
2284	C₄²	—	67	2	no	—
2285	C₄²	—	67	4	no	—
2286	C₄²	—	67	4	no	—
2287	C₄²	—	67	2	no	—
2288	C₄²	—	67	2	no	—
2289	C₄²	—	67	4	no	—
2290	C₄²	C₂³×D₆₇	1	2	yes	—
2291	C₄²	C₂³×D₆₇	1	2	yes	—
2292	C₄²	C₂³×D₆₇	1	4	yes	—
2293	C₂³	—	2	2	no	—
2294	C₂³	—	2	2	no	—
2295	C₂³	—	2	2	no	—
2296	C₂³	—	4	2	no	—
2297	C₂³	—	4	2	no	—
2298	C₂³	—	4	2	no	—
2299	C₂³	—	4	2	no	—
2300	C₂³	—	4	4	no	—
2301	C₂³	—	268	1	no	—
2302	C₂³	—	268	2	no	—
2303	C₂³	—	268	1	no	—
2304	C₂³	—	268	2	no	—
2305	C₂³	—	268	2	no	—
2306	C₂³	—	268	2	no	—
2307	C₂³	—	268	2	no	—
2308	C₂³	—	268	4	no	—
2309	C₂³	—	268	4	no	—
2310	C₂³	—	268	4	no	—
2311	C₂³	—	268	16	no	—
2312	C₂³	—	67	2	no	—
2313	C₂³	—	67	2	no	—
2314	C₂³	—	67	4	no	—
2315	C₂³	—	134	4	no	—
2316	C₂³	—	134	4	no	—
2317	C₂³	—	134	4	no	—
2318	C₂³	—	134	8	no	—
2319	C₂³	—	134	4	no	—
2320	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2321	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2322	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2323	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2324	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2325	C₂³	C₂⁴×D₆₇	1	4	yes	—
2326	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2327	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
2328	Q₈	—	2	4	no	—
2329	Q₈	—	4	1	no	—
2330	Q₈	—	4	1	no	—
2331	Q₈	—	4	1	no	—
2332	Q₈	—	4	1	no	—
2333	Q₈	—	4	2	no	—
2334	Q₈	—	268	2	no	—
2335	Q₈	—	268	4	no	—
2336	Q₈	—	268	4	no	—
2337	Q₈	—	268	4	no	—
2338	Q₈	—	134	4	no	—
2339	D₄	—	2	8	no	—
2340	D₄	—	2	4	no	—
2341	D₄	—	4	1	no	—
2342	D₄	—	4	1	no	—
2343	D₄	—	4	1	no	—
2344	D₄	—	4	1	no	—
2345	D₄	—	4	1	no	—
2346	D₄	—	4	1	no	—
2347	D₄	—	4	1	no	—
2348	D₄	—	4	1	no	—
2349	D₄	—	4	1	no	—
2350	D₄	—	4	1	no	—
2351	D₄	—	4	2	no	—
2352	D₄	—	4	1	no	—
2353	D₄	—	4	1	no	—
2354	D₄	—	4	4	no	—
2355	D₄	—	4	4	no	—
2356	D₄	—	4	4	no	—
2357	D₄	—	4	4	no	—
2358	D₄	—	4	4	no	—
2359	D₄	—	268	2	no	—
2360	D₄	—	268	4	no	—
2361	D₄	—	268	4	no	—
2362	D₄	—	268	4	no	—
2363	D₄	—	268	4	no	—
2364	D₄	—	268	4	no	—
2365	D₄	—	268	2	no	—
2366	D₄	—	268	2	no	—
2367	D₄	—	268	4	no	—
2368	D₄	—	268	4	no	—
2369	D₄	—	268	4	no	—
2370	D₄	—	268	4	no	—
2371	D₄	—	268	2	no	—
2372	D₄	—	268	2	no	—
2373	D₄	—	268	4	no	—
2374	D₄	—	268	4	no	—
2375	D₄	—	268	4	no	—
2376	D₄	—	134	8	no	—
2377	D₄	—	134	4	no	—
2378	D₄	—	134	4	no	—
2379	D₄	—	134	8	no	—
2380	D₄	—	134	4	no	—
2381	D₄	—	134	4	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	2	no	—
2387	C₂×C₄	—	2	2	no	—
2388	C₂×C₄	—	2	2	no	—
2389	C₂×C₄	—	2	2	no	—
2390	C₂×C₄	—	2	2	no	—
2391	C₂×C₄	—	2	2	no	—
2392	C₂×C₄	—	2	2	no	—
2393	C₂×C₄	—	2	2	no	—
2394	C₂×C₄	—	2	2	no	—
2395	C₂×C₄	—	2	2	no	—
2396	C₂×C₄	—	2	2	no	—
2397	C₂×C₄	—	2	2	no	—
2398	C₂×C₄	—	2	2	no	—
2399	C₂×C₄	—	2	8	no	—
2400	C₂×C₄	—	4	2	no	—
2401	C₂×C₄	—	4	4	no	—
2402	C₂×C₄	—	4	4	no	—
2403	C₂×C₄	—	268	2	no	—
2404	C₂×C₄	—	268	2	no	—
2405	C₂×C₄	—	268	2	no	—
2406	C₂×C₄	—	268	2	no	—
2407	C₂×C₄	—	268	4	no	—
2408	C₂×C₄	—	268	4	no	—
2409	C₂×C₄	—	268	4	no	—
2410	C₂×C₄	—	268	4	no	—
2411	C₂×C₄	—	268	4	no	—
2412	C₂×C₄	—	268	4	no	—
2413	C₂×C₄	—	268	1	no	—
2414	C₂×C₄	—	268	2	no	—
2415	C₂×C₄	—	268	1	no	—
2416	C₂×C₄	—	268	2	no	—
2417	C₂×C₄	—	268	4	no	—
2418	C₂×C₄	—	268	4	no	—
2419	C₂×C₄	—	268	2	no	—
2420	C₂×C₄	—	268	2	no	—
2421	C₂×C₄	—	268	4	no	—
2422	C₂×C₄	—	268	4	no	—
2423	C₂×C₄	—	67	2	no	—
2424	C₂×C₄	—	67	2	no	—
2425	C₂×C₄	—	67	4	no	—
2426	C₂×C₄	—	67	4	no	—
2427	C₂×C₄	—	67	2	no	—
2428	C₂×C₄	—	67	2	no	—
2429	C₂×C₄	—	67	2	no	—
2430	C₂×C₄	—	67	4	no	—
2431	C₂×C₄	—	67	2	no	—
2432	C₂×C₄	—	134	8	no	—
2433	C₂×C₄	—	134	4	no	—
2434	C₂×C₄	—	134	4	no	—
2435	C₂×C₄	—	134	4	no	—
2436	C₂×C₄	—	134	4	no	—
2437	C₂×C₄	—	134	4	no	—
2438	C₂×C₄	—	134	8	no	—
2439	C₂×C₄	#14524088	1	4	yes	—
2440	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2441	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2442	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2443	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
2444	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2445	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2446	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2447	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2448	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2449	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2450	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
2451	C₂²	—	2	2	no	—
2452	C₂²	—	2	1	no	—
2453	C₂²	—	2	1	no	—
2454	C₂²	—	2	1	no	—
2455	C₂²	—	2	1	no	—
2456	C₂²	—	2	1	no	—
2457	C₂²	—	2	1	no	—
2458	C₂²	—	2	4	no	—
2459	C₂²	—	2	2	no	—
2460	C₂²	—	2	2	no	—
2461	C₂²	—	2	4	no	—
2462	C₂²	—	2	4	no	—
2463	C₂²	—	2	2	no	—
2464	C₂²	—	2	2	no	—
2465	C₂²	—	2	2	no	—
2466	C₂²	—	2	2	no	—
2467	C₂²	—	4	4	no	—
2468	C₂²	—	8	2	no	—
2469	C₂²	—	8	2	no	—
2470	C₂²	—	8	4	no	—
2471	C₂²	—	268	8	no	—
2472	C₂²	—	268	4	no	—
2473	C₂²	—	268	8	no	—
2474	C₂²	—	268	4	no	—
2475	C₂²	—	536	4	no	—
2476	C₂²	—	536	8	no	—
2477	C₂²	—	67	4	no	—
2478	C₂²	—	134	2	no	—
2479	C₂²	—	134	4	no	—
2480	C₂²	—	134	4	no	—
2481	C₂²	—	134	4	no	—
2482	C₂²	—	134	2	no	—
2483	C₂²	—	134	2	no	—
2484	C₂²	—	134	2	no	—
2485	C₂²	—	134	2	no	—
2486	C₂²	C₂×#14524088	1	2	yes	—
2487	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
2488	C₄	—	2	1	no	—
2489	C₄	—	2	1	no	—
2490	C₄	—	2	1	no	—
2491	C₄	—	2	1	no	—
2492	C₄	—	2	1	no	—
2493	C₄	—	2	1	no	—
2494	C₄	—	2	4	no	—
2495	C₄	—	2	4	no	—
2496	C₄	—	2	4	no	—
2497	C₄	—	134	2	no	—
2498	C₄	—	134	2	no	—
2499	C₄	—	134	4	no	—
2500	C₄	—	134	2	no	—
2501	C₄	—	134	2	no	—
2502	C₄	—	134	4	no	—
2503	C₄	—	134	2	no	—
2504	C₄	—	134	2	no	—
2505	C₄	—	134	4	no	—
2506	C₄	C₂×#14524088	1	2	yes	—
2507	C₄	C₂×#14524088	1	2	yes	—
2508	C₂	—	2	2	no	—
2509	C₂	—	4	1	no	—
2510	C₂	—	4	1	no	—
2511	C₂	—	4	1	no	—
2512	C₂	—	4	1	no	—
2513	C₂	—	4	4	no	—
2514	C₂	—	4	1	no	—
2515	C₂	—	4	1	no	—
2516	C₂	—	268	2	no	—
2517	C₂	—	268	4	no	—
2518	C₂	—	134	4	no	—
2519	C₂	C₂²×#14524088	1	1	yes	characteristic
2520	C₂	#585×D₆₇	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₆₇×#3449	C₂
hypercenter	#3449	D₆₇
hypocenter	C₆₇	#62729
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ #3449

Complements

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

N	H ≅ G/N	type
1. #22574527	C₂	semidirect
2. #22574513	C₂	semidirect
3. #22574504	C₂	semidirect
4. #22574490	C₂	semidirect
5. #22574486	C₂	semidirect
6. #22574475	C₂	semidirect
7. #22574462	C₂	semidirect
8. #22574452	C₂	semidirect
9. #22574442	C₂	semidirect
10. #22574427	C₂	semidirect
11. #22574408	C₂	semidirect
12. #22574389	C₂	semidirect
13. #22574382	C₂	semidirect
14. #22574370	C₂	semidirect
15. #22574363	C₂	semidirect
16. #22574361	C₂	semidirect
17. #22574347	C₂	semidirect
18. #22574345	C₂	semidirect
19. #22573817	C₂	semidirect
20. #22573811	C₂	semidirect
21. #22573769	C₂	semidirect
22. #22573763	C₂	semidirect
23. #41×C₂²⋊D₆₇	C₂	semidirect
24. #22573692	C₂	semidirect
25. #22573623	C₂	semidirect
26. #22573616	C₂	semidirect
27. #22573597	C₂	semidirect
28. #22573538	C₂	semidirect
29. C₂×#16863903	C₂	semidirect
30. #525×D₆₇	C₂	semidirect
31. C₆₇×#3449	C₂	semidirect
32. C₂²×#11761628	C₂²	semidirect
33. C₂×#41×D₆₇	C₂²	semidirect
34. C₂³×C₄×D₆₇	C₂²	semidirect
35. #16864149	C₂²	semidirect
36. #16864147	C₂²	semidirect
37. #16864146	C₂²	semidirect
38. #16864145	C₂²	semidirect
39. #16864143	C₂²	semidirect
40. #16864142	C₂²	semidirect
41. #16864141	C₂²	semidirect
42. #16864141	C₂²	semidirect
43. #16864141	C₂²	semidirect
44. #16864140	C₂²	semidirect
45. #16864139	C₂²	semidirect
46. #16864138	C₂²	semidirect
47. #16864136	C₂²	semidirect
48. #16864135	C₂²	semidirect
49. #16864135	C₂²	semidirect
50. #16864134	C₂²	semidirect
51. #16864134	C₂²	semidirect
52. #16864134	C₂²	semidirect
53. #16864133	C₂²	semidirect
54. #16864133	C₂²	semidirect
55. #16864132	C₂²	semidirect
56. #16864130	C₂²	semidirect
57. #16864117	C₂²	semidirect
58. #16864114	C₂²	semidirect
59. #16864110	C₂²	semidirect
60. #16864109	C₂²	semidirect
61. #16864107	C₂²	semidirect
62. #16864104	C₂²	semidirect
63. #16864101	C₂²	semidirect
64. #16864100	C₂²	semidirect
65. #16864098	C₂²	semidirect
66. #16864094	C₂²	semidirect
67. #16864093	C₂²	semidirect
68. #16864093	C₂²	semidirect
69. #16864093	C₂²	semidirect
70. #16864091	C₂²	semidirect
71. #16864090	C₂²	semidirect
72. #16864089	C₂²	semidirect
73. #16864088	C₂²	semidirect
74. #16864085	C₂²	semidirect
75. #16864083	C₂²	semidirect
76. #16864081	C₂²	semidirect
77. #16864080	C₂²	semidirect
78. #16864079	C₂²	semidirect
79. #16864077	C₂²	semidirect
80. #16864077	C₂²	semidirect
81. #16864076	C₂²	semidirect
82. #16864076	C₂²	semidirect
83. #16864076	C₂²	semidirect
84. #16864074	C₂²	semidirect
85. #16864073	C₂²	semidirect
86. #16864072	C₂²	semidirect
87. #16864070	C₂²	semidirect
88. #16864069	C₂²	semidirect
89. #16864065	C₂²	semidirect
90. #16864064	C₂²	semidirect
91. Q₈×C₂²⋊D₆₇	C₂²	semidirect
92. #16864059	C₂²	semidirect
93. #16864057	C₂²	semidirect
94. #16864056	C₂²	semidirect
95. #16864053	C₂²	semidirect
96. #16864052	C₂²	semidirect
97. #16864048	C₂²	semidirect
98. #16864047	C₂²	semidirect
99. #16864046	C₂²	semidirect
100. #16864045	C₂²	semidirect
101. #16864045	C₂²	semidirect
102. #16864044	C₂²	semidirect
103. #16864043	C₂²	semidirect
104. #16864043	C₂²	semidirect
105. #16864043	C₂²	semidirect
106. #16864040	C₂²	semidirect
107. #16864040	C₂²	semidirect
108. #16864038	C₂²	semidirect
109. #16864037	C₂²	semidirect
110. #16864036	C₂²	semidirect
111. #16864035	C₂²	semidirect
112. #16864034	C₂²	semidirect
113. #16864034	C₂²	semidirect
114. #16864033	C₂²	semidirect
115. #16864033	C₂²	semidirect
116. #16864033	C₂²	semidirect
117. #16864031	C₂²	semidirect
118. #16864030	C₂²	semidirect
119. D₄×C₂²⋊D₆₇	C₂²	semidirect
120. D₄×C₂²⋊D₆₇	C₂²	semidirect
121. #16864028	C₂²	semidirect
122. #16864028	C₂²	semidirect
123. #16864023	C₂²	semidirect
124. #16864021	C₂²	semidirect
125. #16864020	C₂²	semidirect
126. #16864019	C₂²	semidirect
127. #16864019	C₂²	semidirect
128. #16864013	C₂²	semidirect
129. #16864013	C₂²	semidirect
130. #16864013	C₂²	semidirect
131. #16864010	C₂²	semidirect
132. #16864010	C₂²	semidirect
133. #16864006	C₂²	semidirect
134. #16864006	C₂²	semidirect
135. #16864000	C₂²	semidirect
136. #16863999	C₂²	semidirect
137. #16863999	C₂²	semidirect
138. #16863999	C₂²	semidirect
139. #16863996	C₂²	semidirect
140. #16863996	C₂²	semidirect
141. #16863995	C₂²	semidirect
142. #16863992	C₂²	semidirect
143. #16863992	C₂²	semidirect
144. #16863991	C₂²	semidirect
145. #16863990	C₂²	semidirect
146. #16863990	C₂²	semidirect
147. #16863989	C₂²	semidirect
148. #16863989	C₂²	semidirect
149. #16863982	C₂²	semidirect
150. #16863982	C₂²	semidirect
151. #16863981	C₂²	semidirect
152. #16863981	C₂²	semidirect
153. #16863981	C₂²	semidirect
154. #16863981	C₂²	semidirect
155. #16863980	C₂²	semidirect
156. #16863980	C₂²	semidirect
157. #16863978	C₂²	semidirect
158. #16863978	C₂²	semidirect
159. #16863978	C₂²	semidirect
160. #16863978	C₂²	semidirect
161. #16863975	C₂²	semidirect
162. #16863974	C₂²	semidirect
163. #16863974	C₂²	semidirect
164. #16863970	C₂²	semidirect
165. #16863967	C₂²	semidirect
166. #16863967	C₂²	semidirect
167. #16863963	C₂²	semidirect
168. #16863962	C₂²	semidirect
169. #16863960	C₂²	semidirect
170. #16863960	C₂²	semidirect
171. #16863959	C₂²	semidirect
172. #16863956	C₂²	semidirect
173. #16863956	C₂²	semidirect
174. #16863955	C₂²	semidirect
175. #16863955	C₂²	semidirect
176. #16863954	C₂²	semidirect
177. #16863949	C₂²	semidirect
178. #16863943	C₂²	semidirect
179. #16863942	C₂²	semidirect
180. #16863942	C₂²	semidirect
181. #16863942	C₂²	semidirect
182. #16863942	C₂²	semidirect
183. #16863930	C₂²	semidirect
184. #16863928	C₂²	semidirect
185. #16863928	C₂²	semidirect
186. #16863928	C₂²	semidirect
187. #16863926	C₂²	semidirect
188. #16863926	C₂²	semidirect
189. #16863926	C₂²	semidirect
190. #16863926	C₂²	semidirect
191. #16863924	C₂²	semidirect
192. #16863924	C₂²	semidirect
193. #16863909	C₂²	semidirect
194. #16863909	C₂²	semidirect
195. #16863908	C₂²	semidirect
196. #16863907	C₂²	semidirect
197. #16863907	C₂²	semidirect
198. #16863907	C₂²	semidirect
199. #16863906	C₂²	semidirect
200. #16863906	C₂²	semidirect
201. #16863905	C₂²	semidirect
202. #16863905	C₂²	semidirect
203. #16863905	C₂²	semidirect
204. #16863905	C₂²	semidirect
205. #16863904	C₂²	semidirect
207. #16863903	C₂²	semidirect
208. #16863903	C₂²	semidirect
209. #16863903	C₂²	semidirect
210. #16863903	C₂²	semidirect
211. #16863903	C₂²	semidirect
212. #16863903	C₂²	semidirect
213. #16863903	C₂²	semidirect
214. #16863903	C₂²	semidirect
215. #16863903	C₂²	semidirect
216. #16863903	C₂²	semidirect
217. #16863903	C₂²	semidirect
218. #16863903	C₂²	semidirect
219. #16863903	C₂²	semidirect
220. #16863903	C₂²	semidirect
221. #16863903	C₂²	semidirect
222. #16863902	C₂²	semidirect
223. C₂×#14524024	C₂²	semidirect
224. C₂×#14524024	C₂²	semidirect
225. #123×D₆₇	C₂²	semidirect
226. C₂×#14524019	C₂²	semidirect
227. C₂²⋊Q₈×D₆₇	C₂²	semidirect
228. C₂²⋊Q₈×D₆₇	C₂²	semidirect
229. C₂×#14524014	C₂²	semidirect
230. #121×D₆₇	C₂²	semidirect
231. #121×D₆₇	C₂²	semidirect
232. C₂×#14524011	C₂²	semidirect
233. C₂×#14524011	C₂²	semidirect
234. #120×D₆₇	C₂²	semidirect
235. #41×Dic₆₇	C₂²	semidirect
236. C₄×#11761628	C₂²	semidirect
237. #16863864	C₂²	semidirect
238. C₄×#11761627	C₂²	semidirect
239. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
240. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
241. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
242. C₄×D₄×D₆₇	C₂²	semidirect
243. C₄×D₄×D₆₇	C₂²	semidirect
244. C₄×D₄×D₆₇	C₂²	semidirect
245. C₂×#14524002	C₂²	semidirect
246. C₂×#14524002	C₂²	semidirect
247. #117×D₆₇	C₂²	semidirect
248. C₂²×#41×C₆₇	C₂²	semidirect
249. C₂²×#41×C₆₇	C₂²	semidirect
250. #537×C₆₇	C₂²	semidirect
251. #537×C₆₇	C₂²	semidirect
252. #536×C₆₇	C₂²	semidirect
253. #536×C₆₇	C₂²	semidirect
254. #536×C₆₇	C₂²	semidirect
255. #535×C₆₇	C₂²	semidirect
256. #535×C₆₇	C₂²	semidirect
257. #535×C₆₇	C₂²	semidirect
258. #534×C₆₇	C₂²	semidirect
259. #534×C₆₇	C₂²	semidirect
260. #532×C₆₇	C₂²	semidirect
261. #532×C₆₇	C₂²	semidirect
262. #525×C₆₇	C₂²	semidirect
263. #525×C₆₇	C₂²	semidirect
264. #525×C₆₇	C₂²	semidirect
265. #525×C₆₇	C₂²	semidirect
266. C₂×#117×C₆₇	C₂²	semidirect
274. C₂×#11761628	C₂³	semidirect
275. C₂×#11761628	C₂³	semidirect
280. C₂²×Dic₁₃₄	C₂³	semidirect
282. C₂²×D₂₆₈	C₂³	semidirect
303. C₂²×C₄×D₆₇	C₂³	semidirect
304. #14524042	C₂³	semidirect
305. #14524042	C₂³	semidirect
306. #14524042	C₂³	semidirect
307. #14524041	C₂³	semidirect
308. #14524041	C₂³	semidirect
309. #14524041	C₂³	semidirect
310. #14524041	C₂³	semidirect
315. #14524039	C₂³	semidirect
319. #14524038	C₂³	semidirect
320. #14524038	C₂³	semidirect
321. #14524038	C₂³	semidirect
323. #14524037	C₂³	semidirect
328. #14524036	C₂³	semidirect
329. #14524036	C₂³	semidirect
330. #14524036	C₂³	semidirect
331. #14524036	C₂³	semidirect
332. #14524036	C₂³	semidirect
333. #14524036	C₂³	semidirect
334. #14524036	C₂³	semidirect
335. #14524036	C₂³	semidirect
336. #14524035	C₂³	semidirect
337. #14524034	C₂³	semidirect
338. #14524034	C₂³	semidirect
339. #14524034	C₂³	semidirect
340. #14524034	C₂³	semidirect
341. #14524034	C₂³	semidirect
342. #14524033	C₂³	semidirect
343. #14524033	C₂³	semidirect
344. #14524033	C₂³	semidirect
345. #14524033	C₂³	semidirect
346. #14524033	C₂³	semidirect
347. #14524033	C₂³	semidirect
349. #14524032	C₂³	semidirect
350. #14524032	C₂³	semidirect
351. #14524032	C₂³	semidirect
357. #14524030	C₂³	semidirect
358. #14524030	C₂³	semidirect
359. #14524030	C₂³	semidirect
366. #14524029	C₂³	semidirect
367. #14524029	C₂³	semidirect
373. #14524028	C₂³	semidirect
377. #14524027	C₂³	semidirect
378. #14524027	C₂³	semidirect
383. #14524026	C₂³	semidirect
384. #14524026	C₂³	semidirect
392. #14524025	C₂³	semidirect
393. #14524025	C₂³	semidirect
394. #14524025	C₂³	semidirect
395. #14524025	C₂³	semidirect
396. #14524025	C₂³	semidirect
414. #14524024	C₂³	semidirect
415. #14524024	C₂³	semidirect
416. #14524024	C₂³	semidirect
417. #14524024	C₂³	semidirect
418. #14524024	C₂³	semidirect
419. #14524024	C₂³	semidirect
423. #14524023	C₂³	semidirect
424. #14524023	C₂³	semidirect
427. #14524022	C₂³	semidirect
428. #14524022	C₂³	semidirect
429. #14524022	C₂³	semidirect
430. #14524022	C₂³	semidirect
431. #14524022	C₂³	semidirect
436. #14524021	C₂³	semidirect
437. #14524021	C₂³	semidirect
442. #14524020	C₂³	semidirect
443. #14524020	C₂³	semidirect
444. #14524020	C₂³	semidirect
445. #14524020	C₂³	semidirect
446. #14524020	C₂³	semidirect
447. #14524020	C₂³	semidirect
459. #14524019	C₂³	semidirect
460. #14524019	C₂³	semidirect
461. #14524019	C₂³	semidirect
470. #14524017	C₂³	semidirect
471. #14524017	C₂³	semidirect
479. #14524016	C₂³	semidirect
493. #14524015	C₂³	semidirect
494. #14524015	C₂³	semidirect
495. #14524015	C₂³	semidirect
496. #14524015	C₂³	semidirect
497. #14524015	C₂³	semidirect
514. #14524014	C₂³	semidirect
515. #14524014	C₂³	semidirect
524. #14524012	C₂³	semidirect
545. #14524011	C₂³	semidirect
546. #14524011	C₂³	semidirect
547. #14524011	C₂³	semidirect
548. Q₈×Dic₆₇	C₂³	semidirect
549. Q₈×Dic₆₇	C₂³	semidirect
550. C₄×Dic₁₃₄	C₂³	semidirect
551. C₄×Dic₁₃₄	C₂³	semidirect
552. C₄×Dic₁₃₄	C₂³	semidirect
553. #14524008	C₂³	semidirect
554. #14524008	C₂³	semidirect
555. #14524008	C₂³	semidirect
563. D₄×Dic₆₇	C₂³	semidirect
564. D₄×Dic₆₇	C₂³	semidirect
565. D₄×Dic₆₇	C₂³	semidirect
566. D₄×Dic₆₇	C₂³	semidirect
570. #14524005	C₂³	semidirect
571. #14524005	C₂³	semidirect
595. C₄×C₂²⋊D₆₇	C₂³	semidirect
596. C₄×C₂²⋊D₆₇	C₂³	semidirect
597. C₄×C₂²⋊D₆₇	C₂³	semidirect
598. C₄×C₂²⋊D₆₇	C₂³	semidirect
599. C₄×C₂²⋊D₆₇	C₂³	semidirect
600. C₄×C₂²⋊D₆₇	C₂³	semidirect
601. C₄×C₂²⋊D₆₇	C₂³	semidirect
611. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
620. #14524002	C₂³	semidirect
621. #14524002	C₂³	semidirect
622. #14524002	C₂³	semidirect
623. #14524002	C₂³	semidirect
624. #14524002	C₂³	semidirect
630. #14524000	C₂³	semidirect
631. #14524000	C₂³	semidirect
633. #14523999	C₂³	semidirect
634. #14523999	C₂³	semidirect
636. C₂×C₄⋊Dic₆₇	C₂³	semidirect
639. C₂×Dic₆₇⋊C₄	C₂³	semidirect
644. C₄⋊C₄×D₆₇	C₂³	semidirect
650. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
660. C₂²⋊C₄×D₆₇	C₂³	semidirect
662. C₂×C₄×Dic₆₇	C₂³	semidirect
663. C₂×C₄×Dic₆₇	C₂³	semidirect
665. C₄²×D₆₇	C₂³	semidirect
678. C₂×#41×C₆₇	C₂³	semidirect
679. C₂×#41×C₆₇	C₂³	semidirect
681. C₂²×Q₈×C₆₇	C₂³	semidirect
686. C₂²×D₄×C₆₇	C₂³	semidirect
690. C₂³×C₄×C₆₇	C₂³	semidirect
691. C₄⋊Q₈×C₆₇	C₂³	semidirect
692. C₄⋊Q₈×C₆₇	C₂³	semidirect
697. #124×C₆₇	C₂³	semidirect
698. #124×C₆₇	C₂³	semidirect
703. #123×C₆₇	C₂³	semidirect
704. #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
717. #121×C₆₇	C₂³	semidirect
718. #121×C₆₇	C₂³	semidirect
719. #121×C₆₇	C₂³	semidirect
720. #121×C₆₇	C₂³	semidirect
725. #120×C₆₇	C₂³	semidirect
726. #120×C₆₇	C₂³	semidirect
729. C₄×D₄×C₆₇	C₂³	semidirect
730. 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
1289. #3449	D₆₇	semidirect
1292. C₆₇	#62729	semidirect
1295. C₂²×#41	C₂×D₆₇	semidirect
1296. C₂²×#41	C₂×D₆₇	semidirect
1427. #537	C₂×D₆₇	semidirect
1428. #537	C₂×D₆₇	semidirect
1432. #536	C₂×D₆₇	semidirect
1433. #536	C₂×D₆₇	semidirect
1434. #536	C₂×D₆₇	semidirect
1440. #535	C₂×D₆₇	semidirect
1441. #535	C₂×D₆₇	semidirect
1442. #535	C₂×D₆₇	semidirect
1448. #534	C₂×D₆₇	semidirect
1449. #534	C₂×D₆₇	semidirect
1456. #532	C₂×D₆₇	semidirect
1457. #532	C₂×D₆₇	semidirect
1498. #525	C₂×D₆₇	semidirect
1499. #525	C₂×D₆₇	semidirect
1500. #525	C₂×D₆₇	semidirect
1501. #525	C₂×D₆₇	semidirect
1527. C₂×#117	C₂×D₆₇	semidirect
1553. C₂×#41	C₂²×D₆₇	semidirect
1554. C₂×#41	C₂²×D₆₇	semidirect
1558. C₂²×Q₈	C₂²×D₆₇	semidirect
1573. C₂²×D₄	C₂²×D₆₇	semidirect
1589. C₂³×C₄	C₂²×D₆₇	semidirect
1597. C₄⋊Q₈	C₂²×D₆₇	semidirect
1598. C₄⋊Q₈	C₂²×D₆₇	semidirect
1660. #124	C₂²×D₆₇	semidirect
1661. #124	C₂²×D₆₇	semidirect
1718. #123	C₂²×D₆₇	semidirect
1719. #123	C₂²×D₆₇	semidirect
1764. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1765. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1766. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1767. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1828. #121	C₂²×D₆₇	semidirect
1829. #121	C₂²×D₆₇	semidirect
1830. #121	C₂²×D₆₇	semidirect
1831. #121	C₂²×D₆₇	semidirect
1868. #120	C₂²×D₆₇	semidirect
1869. #120	C₂²×D₆₇	semidirect
1936. C₄×D₄	C₂²×D₆₇	semidirect
1937. C₄×D₄	C₂²×D₆₇	semidirect
1963. #117	C₂²×D₆₇	semidirect
1964. #117	C₂²×D₆₇	semidirect
1965. #117	C₂²×D₆₇	semidirect
1976. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
1999. 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
#22574527	2
#22574513	2
#22574504	2
#22574490	2
#22574486	2
#22574475	2
#22574462	2
#22574452	2
#22574442	2
#22574427	2
#22574408	2
#22574389	2
#22574382	2
#22574370	2
#22574363	2
#22574361	2
#22574347	2
#22574345	2
#22573817	2
#22573811	2
#22573769	2
#22573763	2
#41×C₂²⋊D₆₇	2
#22573692	2
#22573623	2
#22573616	2
#22573597	2
#22573538	2
C₂×#16863903	2
#525×D₆₇	2
C₆₇×#3449	2
#62729	67