Subgroups — #31764451

Order 17152.

8042 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574530	C₂	1	4	yes	maximal, complemented
2	#22574511	C₂	1	4	yes	maximal, complemented
3	#22574440	C₂	1	4	yes	maximal, complemented
4	#22574429	C₂	1	4	yes	maximal, complemented
5	#22574389	C₂	1	8	yes	maximal, complemented
6	#22574238	C₂	1	4	yes	maximal, complemented
7	#22574232	C₂	1	4	yes	maximal, complemented
8	#22574036	C₂	1	4	yes	maximal, complemented
9	#22573965	C₂	1	4	yes	maximal, complemented
10	#22573941	C₂	1	2	yes	maximal, complemented
11	#22573934	C₂	1	2	yes	maximal, complemented
12	#22573915	C₂	1	2	yes	maximal, complemented
13	#22573896	C₂	1	4	yes	maximal, complemented
14	#22573876	C₂	1	2	yes	maximal, complemented
15	#22573871	C₂	1	2	yes	maximal, complemented
16	#22573844	C₂	1	1	yes	maximal, characteristic, complemented
17	#22573838	C₂	1	4	yes	maximal, complemented
18	#525×D₆₇	C₂	1	2	yes	maximal, complemented
19	C₂²×#14524014	C₂	1	1	yes	maximal, characteristic, complemented
20	C₆₇×#3484	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14524088	C₂²	1	4	yes	complemented
22	C₂×#14524088	C₂²	1	1	yes	characteristic, complemented
23	C₂×#41×D₆₇	C₂²	1	2	yes	complemented
24	C₂³×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
25	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic, complemented
26	#16864143	C₂²	1	8	yes	complemented
27	#16864141	C₂²	1	8	yes	complemented
28	#16864135	C₂²	1	8	yes	complemented
29	#16864134	C₂²	1	8	yes	complemented
30	#16864111	C₂²	1	4	yes	complemented
31	#16864110	C₂²	1	4	yes	complemented
32	#16864104	C₂²	1	4	yes	complemented
33	#16864103	C₂²	1	4	yes	complemented
34	#16864098	C₂²	1	4	yes	complemented
35	#16864098	C₂²	1	4	yes	complemented
36	#16864096	C₂²	1	4	yes	complemented
37	#16864096	C₂²	1	4	yes	complemented
38	#16864093	C₂²	1	8	yes	complemented
39	#16864093	C₂²	1	4	yes	complemented
40	#16864092	C₂²	1	4	yes	complemented
41	#16864091	C₂²	1	8	yes	complemented
42	#16864088	C₂²	1	4	yes	complemented
43	#16864086	C₂²	1	4	yes	complemented
44	#16864077	C₂²	1	8	yes	complemented
45	#16864077	C₂²	1	8	yes	complemented
46	#16864072	C₂²	1	8	yes	complemented
47	#16864072	C₂²	1	8	yes	complemented
48	#16864066	C₂²	1	4	yes	complemented
49	#16864065	C₂²	1	4	yes	complemented
50	#16864054	C₂²	1	4	yes	complemented
51	#16864053	C₂²	1	4	yes	complemented
52	#16864051	C₂²	1	4	yes	complemented
53	#16864050	C₂²	1	4	yes	complemented
54	#16864046	C₂²	1	4	yes	complemented
55	#16864046	C₂²	1	4	yes	complemented
56	#16864043	C₂²	1	8	yes	complemented
57	#16864040	C₂²	1	4	yes	complemented
58	#16864040	C₂²	1	4	yes	complemented
59	#16864040	C₂²	1	8	yes	complemented
60	#16864040	C₂²	1	8	yes	complemented
61	#16864040	C₂²	1	4	yes	complemented
62	#16864039	C₂²	1	4	yes	complemented
63	#16864036	C₂²	1	8	yes	complemented
64	#16864036	C₂²	1	8	yes	complemented
65	#16864033	C₂²	1	8	yes	complemented
66	#16864033	C₂²	1	8	yes	complemented
67	#16864033	C₂²	1	8	yes	complemented
68	#16864033	C₂²	1	8	yes	complemented
69	#16864033	C₂²	1	8	yes	complemented
70	#16864031	C₂²	1	4	yes	complemented
71	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
72	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
73	D₄×C₂²⋊D₆₇	C₂²	1	8	yes	complemented
74	D₄×C₂²⋊D₆₇	C₂²	1	8	yes	complemented
75	D₄×C₂²⋊D₆₇	C₂²	1	4	yes	complemented
76	#16864028	C₂²	1	8	yes	complemented
77	#16864028	C₂²	1	8	yes	complemented
78	#16864024	C₂²	1	2	yes	complemented
79	#16864022	C₂²	1	4	yes	complemented
80	#16864015	C₂²	1	4	yes	complemented
81	#16864011	C₂²	1	4	yes	complemented
82	#16864000	C₂²	1	4	yes	complemented
83	#16863999	C₂²	1	8	yes	complemented
84	#16863997	C₂²	1	4	yes	complemented
85	#16863996	C₂²	1	8	yes	complemented
86	#16863990	C₂²	1	8	yes	complemented
87	#16863989	C₂²	1	8	yes	complemented
88	#16863982	C₂²	1	8	yes	complemented
89	#16863981	C₂²	1	8	yes	complemented
90	#16863981	C₂²	1	8	yes	complemented
91	#16863981	C₂²	1	8	yes	complemented
92	#16863978	C₂²	1	8	yes	complemented
93	#16863975	C₂²	1	4	yes	complemented
94	#16863975	C₂²	1	8	yes	complemented
95	#16863974	C₂²	1	2	yes	complemented
96	#16863974	C₂²	1	4	yes	complemented
97	#16863963	C₂²	1	2	yes	complemented
98	#16863963	C₂²	1	4	yes	complemented
99	#16863962	C₂²	1	4	yes	complemented
100	#16863961	C₂²	1	8	yes	complemented
101	#16863958	C₂²	1	4	yes	complemented
102	#16863956	C₂²	1	8	yes	complemented
103	#16863956	C₂²	1	8	yes	complemented
104	#16863955	C₂²	1	4	yes	complemented
105	#16863955	C₂²	1	4	yes	complemented
106	#16863955	C₂²	1	4	yes	complemented
107	#16863944	C₂²	1	4	yes	complemented
108	#16863943	C₂²	1	4	yes	complemented
109	#16863928	C₂²	1	4	yes	complemented
110	#16863925	C₂²	1	4	yes	complemented
111	#16863909	C₂²	1	2	yes	complemented
112	#16863909	C₂²	1	2	yes	complemented
113	#16863908	C₂²	1	2	yes	complemented
114	#16863907	C₂²	1	2	yes	complemented
115	#16863906	C₂²	1	2	yes	complemented
116	#16863906	C₂²	1	2	yes	complemented
117	#16863906	C₂²	1	4	yes	complemented
118	#16863905	C₂²	1	4	yes	complemented
119	#16863905	C₂²	1	4	yes	complemented
120	#16863904	C₂²	1	4	yes	complemented
121	#16863903	C₂²	1	2	yes	complemented
122	#16863903	C₂²	1	4	yes	complemented
123	#16863902	C₂²	1	8	yes	complemented
124	#16863902	C₂²	1	4	yes	complemented
125	#123×D₆₇	C₂²	1	4	yes	complemented
126	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
127	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
128	C₂×#14524014	C₂²	1	2	yes	complemented
129	C₂×#14524014	C₂²	1	2	yes	complemented
130	C₂×#14524014	C₂²	1	4	yes	complemented
131	C₂×#14524014	C₂²	1	4	yes	complemented
132	C₂×#14524014	C₂²	1	4	yes	complemented
133	C₂×#14524014	C₂²	1	4	yes	complemented
134	C₂×#14524014	C₂²	1	4	yes	complemented
135	C₂×#14524014	C₂²	1	4	yes	complemented
136	#121×D₆₇	C₂²	1	2	yes	complemented
137	#121×D₆₇	C₂²	1	2	yes	complemented
138	#121×D₆₇	C₂²	1	4	yes	complemented
139	C₂×#14524012	C₂²	1	4	yes	complemented
140	#120×D₆₇	C₂²	1	4	yes	complemented
141	#16863879	C₂²	1	2	yes	complemented
142	#16863876	C₂²	1	2	yes	complemented
143	#16863871	C₂²	1	1	yes	characteristic, complemented
144	#16863871	C₂²	1	4	yes	complemented
145	#16863869	C₂²	1	4	yes	complemented
146	#16863869	C₂²	1	4	yes	complemented
147	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
148	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
149	#117×D₆₇	C₂²	1	2	yes	complemented
150	C₂²×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
151	C₂²×C₂²⋊Dic₆₇	C₂²	1	2	yes	complemented
152	C₂×H(5,𝔽₂)×C₆₇	C₂²	1	1	yes	characteristic, complemented
153	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
154	#546×C₆₇	C₂²	1	4	yes	complemented
155	#546×C₆₇	C₂²	1	4	yes	complemented
156	D₄²×C₆₇	C₂²	1	4	yes	complemented
157	D₄²×C₆₇	C₂²	1	4	yes	complemented
158	#535×C₆₇	C₂²	1	2	yes	complemented
159	#534×C₆₇	C₂²	1	4	yes	complemented
160	#525×C₆₇	C₂²	1	2	yes	complemented
161	C₂×#120×C₆₇	C₂²	1	4	yes	complemented
162	#518×C₆₇	C₂²	1	1	yes	characteristic, complemented
163	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
164	#14524088	—	4	4	no	—
165	#14524088	—	4	16	no	—
166	C₂×#11761629	C₂³	1	2	yes	complemented
167	C₂×#11761628	C₂³	1	2	yes	—
168	C₂×#11761628	C₂³	1	8	yes	complemented
169	C₂×#11761628	C₂³	1	4	yes	complemented
170	C₂×#11761627	C₂³	1	4	yes	—
171	C₂×#11761627	C₂³	1	8	yes	—
172	C₂×#11761627	C₂³	1	8	yes	complemented
173	C₂×#11761627	C₂³	1	4	yes	complemented
174	C₂×#11761627	C₂³	1	2	yes	complemented
175	#41×D₆₇	—	4	8	no	—
176	C₂×Q₈×D₆₇	C₂³	1	2	yes	complemented
177	C₂²×C₂²⋊D₆₇	—	4	8	no	—
178	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
179	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
180	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
181	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
182	C₂²×C₂²⋊D₆₇	C₂³	1	8	yes	—
183	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
184	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
185	C₂²×C₂²⋊D₆₇	C₂³	1	4	yes	—
186	C₂²×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
187	C₂×D₄×D₆₇	C₂³	1	4	yes	—
188	C₂×D₄×D₆₇	C₂³	1	4	yes	—
189	C₂×D₄×D₆₇	C₂³	1	4	yes	—
190	C₂×D₄×D₆₇	C₂³	1	8	yes	complemented
191	C₂×D₄×D₆₇	C₂³	1	2	yes	complemented
192	C₂×D₄×D₆₇	C₂³	1	4	yes	complemented
193	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
194	C₂³×Dic₆₇	C₂³	1	2	yes	—
195	C₂²×C₄×D₆₇	—	4	4	no	—
196	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
197	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
198	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
199	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
200	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
201	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
202	C₂²×C₄×D₆₇	C₂³	1	4	yes	complemented
203	#14524043	C₂³	1	4	yes	complemented
204	#14524042	C₂³	1	4	yes	complemented
205	#14524039	C₂³	1	8	yes	complemented
206	#14524039	C₂³	1	8	yes	complemented
207	#14524039	C₂³	1	4	yes	complemented
208	#14524038	C₂³	1	8	yes	complemented
209	#14524036	C₂³	1	8	yes	complemented
210	#14524036	C₂³	1	8	yes	complemented
211	#14524036	C₂³	1	8	yes	complemented
212	#14524036	C₂³	1	8	yes	complemented
213	#14524036	C₂³	1	8	yes	complemented
214	#14524035	C₂³	1	4	yes	complemented
215	#14524034	C₂³	1	4	yes	complemented
216	#14524034	C₂³	1	8	yes	complemented
217	#14524033	C₂³	1	8	yes	complemented
218	#14524030	C₂³	1	4	yes	complemented
219	#14524030	C₂³	1	8	yes	complemented
220	#14524030	C₂³	1	8	yes	complemented
221	#14524029	C₂³	1	8	yes	complemented
222	#14524029	C₂³	1	8	yes	complemented
223	#14524029	C₂³	1	8	yes	complemented
224	#14524029	C₂³	1	8	yes	complemented
225	#14524028	C₂³	1	4	yes	complemented
226	#14524028	C₂³	1	4	yes	complemented
227	#14524027	C₂³	1	4	yes	—
228	#14524027	C₂³	1	8	yes	—
229	#14524027	C₂³	1	8	yes	complemented
230	#14524027	C₂³	1	8	yes	complemented
231	#14524026	C₂³	1	4	yes	—
232	#14524026	C₂³	1	8	yes	complemented
233	#14524026	C₂³	1	8	yes	complemented
234	#14524025	C₂³	1	8	yes	complemented
235	#14524025	C₂³	1	8	yes	complemented
236	#14524025	C₂³	1	8	yes	complemented
237	#14524025	C₂³	1	8	yes	complemented
238	#14524025	C₂³	1	8	yes	complemented
239	#14524025	C₂³	1	4	yes	complemented
240	#14524025	C₂³	1	4	yes	complemented
241	#14524024	C₂³	1	4	yes	—
242	#14524024	C₂³	1	8	yes	—
243	#14524024	C₂³	1	8	yes	complemented
244	#14524024	C₂³	1	8	yes	complemented
245	#14524024	C₂³	1	8	yes	complemented
246	#14524024	C₂³	1	8	yes	complemented
247	#14524023	C₂³	1	2	yes	complemented
248	#14524023	C₂³	1	8	yes	complemented
249	#14524023	C₂³	1	2	yes	complemented
250	#14524022	C₂³	1	2	yes	—
251	#14524022	C₂³	1	2	yes	—
252	#14524022	C₂³	1	8	yes	complemented
253	#14524022	C₂³	1	8	yes	complemented
254	#14524022	C₂³	1	4	yes	complemented
255	#14524021	C₂³	1	4	yes	complemented
256	#14524021	C₂³	1	4	yes	complemented
257	#14524020	C₂³	1	4	yes	—
258	#14524020	C₂³	1	8	yes	—
259	#14524020	C₂³	1	8	yes	—
260	#14524020	C₂³	1	4	yes	—
261	#14524020	C₂³	1	8	yes	complemented
262	#14524020	C₂³	1	8	yes	complemented
263	#14524020	C₂³	1	8	yes	complemented
264	#14524019	C₂³	1	2	yes	complemented
265	#14524019	C₂³	1	4	yes	complemented
266	#14524019	C₂³	1	2	yes	complemented
267	#14524018	C₂³	1	2	yes	complemented
268	#14524018	C₂³	1	2	yes	complemented
269	#14524017	C₂³	1	2	yes	—
270	#14524017	C₂³	1	2	yes	—
271	#14524017	C₂³	1	8	yes	complemented
272	#14524017	C₂³	1	8	yes	complemented
273	#14524017	C₂³	1	4	yes	complemented
274	#14524016	C₂³	1	8	yes	complemented
275	#14524016	C₂³	1	8	yes	complemented
276	#14524016	C₂³	1	8	yes	complemented
277	#14524016	C₂³	1	8	yes	complemented
278	#14524016	C₂³	1	4	yes	complemented
279	#14524016	C₂³	1	4	yes	complemented
280	#14524015	C₂³	1	8	yes	—
281	#14524015	C₂³	1	8	yes	—
282	#14524015	C₂³	1	4	yes	—
283	#14524015	C₂³	1	4	yes	—
284	#14524015	C₂³	1	8	yes	complemented
285	#14524015	C₂³	1	8	yes	complemented
286	#14524015	C₂³	1	8	yes	complemented
287	#14524015	C₂³	1	8	yes	complemented
288	#14524015	C₂³	1	8	yes	complemented
289	#14524015	C₂³	1	8	yes	complemented
290	#14524015	C₂³	1	8	yes	complemented
291	#14524015	C₂³	1	8	yes	complemented
292	#14524014	C₂³	1	4	yes	—
293	#14524014	C₂³	1	4	yes	—
294	#14524014	C₂³	1	4	yes	—
295	#14524014	C₂³	1	4	yes	—
296	#14524014	C₂³	1	8	yes	—
297	#14524014	C₂³	1	4	yes	—
298	#14524014	C₂³	1	4	yes	—
299	#14524014	C₂³	1	8	yes	—
300	#14524014	C₂³	1	4	yes	—
301	#14524014	C₂³	1	4	yes	—
302	#14524014	C₂³	1	8	yes	—
303	#14524014	C₂³	1	8	yes	—
304	#14524014	C₂³	1	2	yes	complemented
305	#14524014	C₂³	1	8	yes	complemented
306	#14524014	C₂³	1	8	yes	complemented
307	#14524014	C₂³	1	4	yes	complemented
308	#14524014	C₂³	1	4	yes	complemented
309	#14524014	C₂³	1	8	yes	complemented
310	#14524014	C₂³	1	4	yes	complemented
311	#14524014	C₂³	1	8	yes	complemented
312	#14524014	C₂³	1	2	yes	complemented
313	#14524013	C₂³	1	4	yes	—
314	#14524013	C₂³	1	4	yes	—
315	#14524013	C₂³	1	4	yes	—
316	#14524013	C₂³	1	8	yes	complemented
317	#14524012	C₂³	1	8	yes	—
318	#14524012	C₂³	1	8	yes	—
319	#14524012	C₂³	1	8	yes	—
320	#14524012	C₂³	1	4	yes	—
321	#14524012	C₂³	1	8	yes	complemented
322	#14524012	C₂³	1	8	yes	complemented
323	#14524011	C₂³	1	4	yes	—
324	#14524011	C₂³	1	4	yes	—
325	#14524011	C₂³	1	4	yes	—
326	#14524011	C₂³	1	8	yes	complemented
327	#14524011	C₂³	1	8	yes	complemented
328	#14524011	C₂³	1	8	yes	complemented
329	#14524011	C₂³	1	8	yes	complemented
330	Q₈×Dic₆₇	C₂³	1	4	yes	complemented
331	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
332	C₄×D₂₆₈	C₂³	1	4	yes	complemented
333	C₄×D₂₆₈	C₂³	1	4	yes	complemented
334	C₄×D₂₆₈	C₂³	1	4	yes	complemented
335	D₄×Dic₆₇	C₂³	1	8	yes	—
336	D₄×Dic₆₇	C₂³	1	8	yes	—
337	D₄×Dic₆₇	C₂³	1	4	yes	—
338	D₄×Dic₆₇	C₂³	1	4	yes	—
339	D₄×Dic₆₇	C₂³	1	4	yes	complemented
340	D₄×Dic₆₇	C₂³	1	4	yes	complemented
341	D₄×Dic₆₇	C₂³	1	4	yes	complemented
342	D₄×Dic₆₇	C₂³	1	8	yes	complemented
343	D₄×Dic₆₇	C₂³	1	8	yes	complemented
344	#14524005	C₂³	1	4	yes	complemented
345	#14524005	C₂³	1	4	yes	complemented
346	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
347	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
348	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
349	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
350	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
351	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
352	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
353	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	complemented
354	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
355	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
356	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
357	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
358	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
359	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
360	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
361	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	complemented
362	#14524002	C₂³	1	2	yes	—
363	#14524002	C₂³	1	8	yes	complemented
364	#14524002	C₂³	1	4	yes	complemented
365	#14524001	C₂³	1	4	yes	complemented
366	#14524001	C₂³	1	2	yes	complemented
367	#14524001	C₂³	1	2	yes	complemented
368	#14524000	C₂³	1	4	yes	complemented
369	#14523999	C₂³	1	4	yes	—
370	#14523999	C₂³	1	8	yes	—
371	#14523999	C₂³	1	8	yes	complemented
372	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
373	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	—
374	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	—
375	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
376	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	complemented
377	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
378	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
379	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
380	C₄⋊C₄×D₆₇	C₂³	1	2	yes	complemented
381	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
382	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
383	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
384	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
385	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
386	C₂×C₂²⋊Dic₆₇	C₂³	1	8	yes	—
387	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
388	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
389	C₂×C₂²⋊Dic₆₇	C₂³	1	4	yes	—
390	C₂×C₂²⋊Dic₆₇	C₂³	1	8	yes	complemented
391	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
392	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
393	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
394	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	complemented
395	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
396	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	complemented
397	C₄²×D₆₇	C₂³	1	4	yes	complemented
398	C₂⁵×C₆₇	C₂³	1	2	yes	—
399	H(5,𝔽₂)×C₆₇	—	4	4	no	—
400	C₂×#41×C₆₇	C₂³	1	2	yes	—
401	C₂×#41×C₆₇	C₂³	1	4	yes	complemented
402	C₂²×D₄×C₆₇	—	4	4	no	—
403	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
404	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
405	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
406	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
407	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
408	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
409	C₂²×D₄×C₆₇	C₂³	1	4	yes	—
410	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
411	C₂²×D₄×C₆₇	C₂³	1	4	yes	complemented
412	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
413	#127×C₆₇	C₂³	1	4	yes	complemented
414	#124×C₆₇	C₂³	1	4	yes	complemented
415	#123×C₆₇	C₂³	1	4	yes	—
416	#123×C₆₇	C₂³	1	8	yes	complemented
417	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
418	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
419	#121×C₆₇	C₂³	1	2	yes	—
420	#121×C₆₇	C₂³	1	2	yes	—
421	#121×C₆₇	C₂³	1	8	yes	complemented
422	#121×C₆₇	C₂³	1	4	yes	complemented
423	#121×C₆₇	C₂³	1	8	yes	complemented
424	#121×C₆₇	C₂³	1	4	yes	complemented
425	#120×C₆₇	C₂³	1	8	yes	—
426	#120×C₆₇	C₂³	1	8	yes	—
427	#120×C₆₇	C₂³	1	8	yes	—
428	#120×C₆₇	C₂³	1	4	yes	—
429	#120×C₆₇	C₂³	1	8	yes	complemented
430	C₄×D₄×C₆₇	C₂³	1	4	yes	—
431	C₄×D₄×C₆₇	C₂³	1	4	yes	—
432	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
433	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
434	#117×C₆₇	C₂³	1	2	yes	—
435	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
436	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
437	C₂×C₂²⋊C₄×C₆₇	C₂³	1	4	yes	—
438	C₂³×D₆₇	—	2	4	no	—
439	C₂³×D₆₇	—	4	2	no	—
440	C₂³×D₆₇	—	4	2	no	—
441	C₂³×D₆₇	C₂⁴	1	2	yes	—
442	C₂³×D₆₇	C₂⁴	1	2	yes	—
443	C₂³×D₆₇	C₂⁴	1	4	yes	—
444	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
445	C₂³×D₆₇	C₂⁴	1	4	yes	—
446	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
447	#11761629	—	4	4	no	—
448	#11761628	—	2	8	no	—
449	#11761628	—	4	8	no	—
450	#11761628	—	4	16	no	—
451	#11761627	—	4	4	no	—
452	#11761627	—	4	8	no	—
453	#11761627	—	4	16	no	—
454	#11761627	—	4	8	no	—
455	#11761627	—	4	16	no	—
456	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
457	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
458	C₂×Dic₁₃₄	C₂⁴	1	8	yes	—
459	Q₈×D₆₇	—	4	4	no	—
460	C₂×D₂₆₈	C₂⁴	1	4	yes	—
461	C₂×D₂₆₈	C₂⁴	1	2	yes	—
462	C₂×D₂₆₈	C₂⁴	1	4	yes	—
463	C₂×D₂₆₈	C₂⁴	1	4	yes	—
464	C₂×C₂²⋊D₆₇	—	2	16	no	—
465	C₂×C₂²⋊D₆₇	—	4	8	no	—
466	C₂×C₂²⋊D₆₇	—	4	8	no	—
467	C₂×C₂²⋊D₆₇	—	4	16	no	—
468	C₂×C₂²⋊D₆₇	—	4	8	no	—
469	C₂×C₂²⋊D₆₇	—	4	16	no	—
470	C₂×C₂²⋊D₆₇	—	4	8	no	—
471	C₂×C₂²⋊D₆₇	—	4	8	no	—
472	C₂×C₂²⋊D₆₇	—	4	8	no	—
473	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
474	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
475	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
476	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
477	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
478	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
479	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
480	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
481	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
482	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
483	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
484	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
485	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
486	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
487	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
488	D₄×D₆₇	—	2	16	no	—
489	D₄×D₆₇	—	4	4	no	—
490	D₄×D₆₇	—	4	8	no	—
491	D₄×D₆₇	—	4	16	no	—
492	D₄×D₆₇	—	4	8	no	—
493	D₄×D₆₇	—	4	8	no	—
494	C₂²×Dic₆₇	—	4	2	no	—
495	C₂²×Dic₆₇	—	4	4	no	—
496	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
497	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
498	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
499	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
500	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
501	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
502	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
503	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
504	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
505	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
506	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
507	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
508	C₂×C₄×D₆₇	—	2	8	no	—
509	C₂×C₄×D₆₇	—	4	4	no	—
510	C₂×C₄×D₆₇	—	4	4	no	—
511	C₂×C₄×D₆₇	—	4	4	no	—
512	C₂×C₄×D₆₇	—	4	4	no	—
513	C₂×C₄×D₆₇	—	4	8	no	—
514	C₂×C₄×D₆₇	—	4	4	no	—
515	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
516	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
517	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
518	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
519	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
520	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
521	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
522	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
523	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
524	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
525	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
526	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
527	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
528	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
529	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
530	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
531	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
532	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
533	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
534	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
535	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
536	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
537	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
538	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
539	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
540	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
541	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
542	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
543	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
544	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
545	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
546	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
547	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
548	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
549	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
550	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
551	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
552	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
553	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
554	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
555	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
556	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
557	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
558	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
559	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
560	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
561	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
562	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
563	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
564	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
565	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
566	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
567	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
568	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
569	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
570	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
571	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
572	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
573	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
574	C₄×Dic₆₇	C₂⁴	1	4	yes	—
575	C₄×Dic₆₇	C₂⁴	1	4	yes	—
576	C₄×Dic₆₇	C₂⁴	1	4	yes	—
577	C₄×Dic₆₇	C₂⁴	1	8	yes	—
578	C₄×Dic₆₇	C₂⁴	1	8	yes	—
579	C₂⁴×C₆₇	—	4	4	no	—
580	C₂⁴×C₆₇	—	4	4	no	—
581	C₂⁴×C₆₇	—	4	4	no	—
582	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
583	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
584	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
585	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
586	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
587	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
588	#41×C₆₇	—	2	8	no	—
589	#41×C₆₇	—	4	8	no	—
590	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
591	C₂×D₄×C₆₇	—	2	4	no	—
592	C₂×D₄×C₆₇	—	2	4	no	—
593	C₂×D₄×C₆₇	—	4	8	no	—
594	C₂×D₄×C₆₇	—	4	8	no	—
595	C₂×D₄×C₆₇	—	4	8	no	—
596	C₂×D₄×C₆₇	—	4	4	no	—
597	C₂×D₄×C₆₇	—	4	8	no	—
598	C₂×D₄×C₆₇	—	4	8	no	—
599	C₂×D₄×C₆₇	—	4	8	no	—
600	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
601	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
602	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
603	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
604	C₂×D₄×C₆₇	C₂⁴	1	2	yes	—
605	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
606	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
607	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
608	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
609	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
610	C₂²×C₄×C₆₇	—	2	4	no	—
611	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
612	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
613	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
614	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
616	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
617	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
618	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
620	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
621	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
622	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
623	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
624	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
625	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
626	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
627	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
628	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
629	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
630	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
631	C₄²×C₆₇	C₂⁴	1	4	yes	—
632	C₂³×C₆₇	—	2	2	no	—
633	C₂³×C₆₇	—	2	2	no	—
634	C₂³×C₆₇	—	2	2	no	—
635	C₂³×C₆₇	—	2	4	no	—
636	C₂³×C₆₇	—	2	4	no	—
637	C₂³×C₆₇	—	2	8	no	—
638	C₂³×C₆₇	—	2	8	no	—
639	C₂³×C₆₇	—	4	4	no	—
640	C₂³×C₆₇	—	4	4	no	—
641	C₂³×C₆₇	—	4	2	no	—
642	C₂³×C₆₇	—	4	4	no	—
643	C₂³×C₆₇	—	4	2	no	—
644	C₂³×C₆₇	—	4	2	no	—
645	C₂³×C₆₇	—	4	4	no	—
646	C₂³×C₆₇	—	4	2	no	—
647	C₂³×C₆₇	—	4	4	no	—
648	C₂³×C₆₇	—	4	4	no	—
649	C₂³×C₆₇	—	4	4	no	—
650	C₂³×C₆₇	—	8	16	no	—
651	C₂³×C₆₇	C₂⁵	1	4	yes	—
652	C₂³×C₆₇	C₂⁵	1	4	yes	—
653	C₂³×C₆₇	C₂⁵	1	4	yes	—
654	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
655	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
656	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
657	C₂²×D₆₇	—	2	4	no	—
658	C₂²×D₆₇	—	2	2	no	—
659	C₂²×D₆₇	—	2	4	no	—
660	C₂²×D₆₇	—	2	4	no	—
661	C₂²×D₆₇	—	2	4	no	—
662	C₂²×D₆₇	—	2	8	no	—
663	C₂²×D₆₇	—	4	1	no	—
664	C₂²×D₆₇	—	4	2	no	—
665	C₂²×D₆₇	—	4	1	no	—
666	C₂²×D₆₇	—	4	1	no	—
667	C₂²×D₆₇	—	4	2	no	—
668	C₂²×D₆₇	—	4	1	no	—
669	C₂²×D₆₇	—	4	4	no	—
670	C₂²×D₆₇	—	4	4	no	—
671	C₂²×D₆₇	—	4	4	no	—
672	C₂²×D₆₇	—	4	4	no	—
673	C₂²×D₆₇	—	4	4	no	—
674	C₂²×D₆₇	—	4	16	no	—
675	C₂²×D₆₇	H(5,𝔽₂)	1	4	yes	complemented
676	C₂²×D₆₇	C₂⁵	1	2	yes	—
677	C₂²×D₆₇	C₂⁵	1	4	yes	—
678	C₂²×D₆₇	C₂⁵	1	2	yes	—
679	Q₈×C₆₇	—	2	4	no	—
680	D₄×C₆₇	—	2	8	no	—
681	D₄×C₆₇	—	2	8	no	—
682	D₄×C₆₇	—	2	8	no	—
683	D₄×C₆₇	—	2	8	no	—
684	D₄×C₆₇	—	2	8	no	—
685	D₄×C₆₇	—	2	4	no	—
686	D₄×C₆₇	—	4	8	no	—
687	D₄×C₆₇	—	4	8	no	—
688	D₄×C₆₇	—	4	8	no	—
689	D₄×C₆₇	—	4	8	no	—
690	C₂×C₄×C₆₇	—	2	2	no	—
691	C₂×C₄×C₆₇	—	2	4	no	—
692	C₂×C₄×C₆₇	—	2	4	no	—
693	C₂×C₄×C₆₇	—	2	8	no	—
694	C₂×C₄×C₆₇	—	4	4	no	—
695	C₂×C₄×C₆₇	—	4	4	no	—
696	C₂×C₄×C₆₇	—	4	4	no	—
697	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	complemented
698	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
699	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
700	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
701	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
702	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
703	C₂²⋊D₆₇	—	2	8	no	—
704	C₂²⋊D₆₇	—	2	8	no	—
705	C₂²⋊D₆₇	—	2	8	no	—
706	C₂²⋊D₆₇	—	2	8	no	—
707	C₂²⋊D₆₇	—	2	16	no	—
708	C₂²⋊D₆₇	—	2	16	no	—
709	C₂²⋊D₆₇	—	4	8	no	—
710	C₂²⋊D₆₇	—	4	8	no	—
711	C₂²⋊D₆₇	—	4	4	no	—
712	C₂²⋊D₆₇	—	4	4	no	—
713	C₂²⋊D₆₇	—	4	4	no	—
714	C₂²⋊D₆₇	—	4	8	no	—
715	C₂²⋊D₆₇	—	4	8	no	—
716	C₂²⋊D₆₇	—	4	8	no	—
717	C₂²⋊D₆₇	—	4	8	no	—
718	C₂×Dic₆₇	—	2	4	no	—
719	C₂×Dic₆₇	—	2	8	no	—
720	C₂×Dic₆₇	—	4	1	no	—
721	C₂×Dic₆₇	—	4	2	no	—
722	C₂×Dic₆₇	—	4	1	no	—
723	C₂×Dic₆₇	—	4	4	no	—
724	C₂×Dic₆₇	—	4	4	no	—
725	C₂×Dic₆₇	—	4	4	no	—
726	C₂×Dic₆₇	—	4	4	no	—
727	C₂×Dic₆₇	—	4	4	no	—
728	C₂×Dic₆₇	—	4	4	no	—
729	C₂×Dic₆₇	—	4	8	no	—
730	C₂×Dic₆₇	C₂⁵	1	4	yes	—
731	C₂×Dic₆₇	C₂⁵	1	2	yes	—
732	C₂×Dic₆₇	C₂⁵	1	4	yes	—
733	C₂×Dic₆₇	C₂⁵	1	4	yes	—
734	C₂×Dic₆₇	C₂⁵	1	8	yes	—
735	C₂×Dic₆₇	C₂⁵	1	2	yes	—
736	D₂₆₈	—	2	8	no	—
737	D₂₆₈	—	2	4	no	—
738	D₂₆₈	—	4	4	no	—
739	D₂₆₈	—	4	4	no	—
740	C₄×D₆₇	—	2	8	no	—
741	C₄×D₆₇	—	2	4	no	—
742	C₄×D₆₇	—	2	4	no	—
743	C₄×D₆₇	—	2	4	no	—
744	C₄×D₆₇	—	2	4	no	—
745	C₄×D₆₇	—	2	8	no	—
746	C₄×D₆₇	—	4	2	no	—
747	C₄×D₆₇	—	4	2	no	—
748	C₄×D₆₇	—	4	2	no	—
749	C₄×D₆₇	—	4	2	no	—
750	C₄×D₆₇	—	4	4	no	—
751	C₄×D₆₇	—	4	4	no	—
752	C₄×D₆₇	—	4	4	no	—
753	C₄×D₆₇	—	4	8	no	—
754	Dic₁₃₄	—	2	4	no	—
755	Dic₁₃₄	—	4	4	no	—
756	Dic₁₃₄	—	4	8	no	—
757	C₂²×C₆₇	—	2	8	no	—
758	C₂²×C₆₇	—	2	1	no	—
759	C₂²×C₆₇	—	2	1	no	—
760	C₂²×C₆₇	—	2	1	no	—
761	C₂²×C₆₇	—	2	1	no	—
762	C₂²×C₆₇	—	2	1	no	—
763	C₂²×C₆₇	—	2	1	no	—
764	C₂²×C₆₇	—	2	4	no	—
765	C₂²×C₆₇	—	2	4	no	—
766	C₂²×C₆₇	—	2	4	no	—
767	C₂²×C₆₇	—	2	4	no	—
768	C₂²×C₆₇	—	2	4	no	—
769	C₂²×C₆₇	—	2	4	no	—
770	C₂²×C₆₇	—	2	4	no	—
771	C₂²×C₆₇	—	2	4	no	—
772	C₂²×C₆₇	—	2	4	no	—
773	C₂²×C₆₇	—	8	4	no	—
774	C₂²×C₆₇	—	8	8	no	—
775	C₂²×C₆₇	—	8	4	no	—
776	C₂²×C₆₇	—	8	8	no	—
777	C₂²×C₆₇	—	16	4	no	—
778	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
779	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
780	C₂²×C₆₇	#585	1	2	yes	—
781	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
782	C₂×D₆₇	—	2	2	no	—
783	C₂×D₆₇	—	2	2	no	—
784	C₂×D₆₇	—	2	2	no	—
785	C₂×D₆₇	—	2	4	no	—
786	C₂×D₆₇	—	2	4	no	—
787	C₂×D₆₇	—	2	2	no	—
788	C₂×D₆₇	—	2	2	no	—
789	C₂×D₆₇	—	2	4	no	—
790	C₂×D₆₇	—	4	4	no	—
791	C₂×D₆₇	—	4	8	no	—
792	C₂×D₆₇	—	4	8	no	—
793	C₂×D₆₇	—	4	4	no	—
794	C₂×D₆₇	—	8	8	no	—
795	C₂×D₆₇	—	16	4	no	—
796	C₂×D₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
797	C₄×C₆₇	—	2	4	no	—
798	C₄×C₆₇	—	2	4	no	—
799	C₄×C₆₇	—	2	2	no	—
800	C₄×C₆₇	—	2	4	no	—
801	C₄×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
802	Dic₆₇	—	2	4	no	—
803	Dic₆₇	—	2	2	no	—
804	Dic₆₇	—	2	4	no	—
805	Dic₆₇	—	2	8	no	—
806	Dic₆₇	—	2	2	no	—
807	Dic₆₇	—	2	4	no	—
808	#62818	—	67	1	no	maximal, Sylow
809	C₂×C₆₇	—	2	2	no	—
810	C₂×C₆₇	—	2	2	no	—
811	C₂×C₆₇	—	2	2	no	—
812	C₂×C₆₇	—	4	4	no	—
813	C₂×C₆₇	—	4	4	no	—
814	C₂×C₆₇	—	4	4	no	—
815	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
816	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
817	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
818	D₆₇	—	2	4	no	—
819	D₆₇	—	4	2	no	—
820	D₆₇	—	4	4	no	—
821	#3542	—	67	4	no	—
822	#3542	—	67	4	no	—
823	#3537	—	67	4	no	—
824	#3536	—	67	4	no	—
825	#3534	—	67	8	no	—
826	#3519	—	67	4	no	—
827	#3519	—	67	4	no	—
828	#3505	—	67	4	no	—
829	#3496	—	67	4	no	—
830	#3494	—	67	2	no	—
831	#3494	—	67	2	no	—
832	#3492	—	67	2	no	—
833	#3490	—	67	4	no	—
834	#3488	—	67	2	no	—
835	#3488	—	67	2	no	—
836	#3484	—	67	1	no	—
837	#3484	—	67	4	no	—
838	#3484	D₆₇	1	1	yes	characteristic, complemented
839	C₂×#525	—	67	2	no	—
840	C₂²×#121	—	67	1	no	—
841	C₆₇	#62818	1	1	yes	characteristic, complemented, Sylow
842	C₂×H(5,𝔽₂)	—	67	1	no	—
843	C₂×H(5,𝔽₂)	—	67	4	no	—
844	C₂×H(5,𝔽₂)	C₂×D₆₇	1	1	yes	characteristic, complemented
845	C₂²×#41	—	67	2	no	—
846	C₂³×D₄	—	67	2	no	—
847	C₂³×D₄	C₂×D₆₇	1	1	yes	characteristic, complemented
848	C₂⁴×C₄	—	67	1	no	—
849	#562	—	67	8	no	—
850	#562	—	67	8	no	—
851	#560	—	67	8	no	—
852	#560	—	67	8	no	—
853	#555	—	67	4	no	—
854	#555	—	67	4	no	—
855	#554	—	67	4	no	—
856	#554	—	67	4	no	—
857	#553	—	67	8	no	—
858	#553	—	67	4	no	—
859	#553	—	67	4	no	—
860	#553	—	67	8	no	—
861	#553	—	67	4	no	—
862	#553	—	67	4	no	—
863	#553	—	67	4	no	—
864	#553	—	67	4	no	—
865	#552	—	67	4	no	—
866	#552	—	67	4	no	—
867	#551	—	67	8	no	—
868	#551	—	67	8	no	—
869	#551	—	67	8	no	—
870	#551	—	67	8	no	—
871	#550	—	67	4	no	—
872	#550	—	67	4	no	—
873	#548	—	67	4	no	—
874	#548	—	67	4	no	—
875	#547	—	67	4	no	—
876	#547	—	67	4	no	—
877	#547	—	67	4	no	—
878	#547	—	67	4	no	—
879	#546	—	67	4	no	—
880	#546	—	67	4	no	—
881	#546	—	67	8	no	—
882	#546	—	67	8	no	—
883	#546	—	67	4	no	—
884	#546	—	67	4	no	—
885	#546	—	67	8	no	—
886	#546	—	67	8	no	—
887	#546	—	67	8	no	—
888	#546	—	67	8	no	—
889	#546	—	67	8	no	—
890	#546	—	67	8	no	—
891	#546	—	67	8	no	—
892	#546	—	67	8	no	—
893	#546	C₂×D₆₇	1	4	yes	complemented
894	#546	C₂×D₆₇	1	4	yes	complemented
895	D₄²	—	67	8	no	—
896	D₄²	—	67	4	no	—
897	D₄²	—	67	8	no	—
898	D₄²	—	67	4	no	—
899	D₄²	—	67	4	no	—
900	D₄²	—	67	4	no	—
901	D₄²	—	67	8	no	—
902	D₄²	—	67	8	no	—
903	D₄²	C₂×D₆₇	1	4	yes	complemented
904	D₄²	C₂×D₆₇	1	4	yes	complemented
905	#544	—	67	2	no	—
906	#543	—	67	4	no	—
907	#542	—	67	4	no	—
908	#542	—	67	4	no	—
909	#540	—	67	4	no	—
910	#540	—	67	8	no	—
911	#540	—	67	8	no	—
912	#540	—	67	4	no	—
913	#539	—	67	8	no	—
914	#539	—	67	8	no	—
915	#538	—	67	8	no	—
916	#538	—	67	8	no	—
917	#538	—	67	8	no	—
918	#538	—	67	8	no	—
919	#538	—	67	8	no	—
920	#537	—	67	2	no	—
921	#537	—	67	4	no	—
922	#537	—	67	4	no	—
923	#537	—	67	8	no	—
924	#535	—	67	2	no	—
925	#535	—	67	4	no	—
926	#535	—	67	4	no	—
927	#535	—	67	8	no	—
928	#535	C₂×D₆₇	1	2	yes	complemented
929	#534	—	67	4	no	—
930	#534	—	67	4	no	—
931	#534	—	67	4	no	—
932	#534	—	67	8	no	—
933	#534	—	67	8	no	—
934	#534	—	67	4	no	—
935	#534	C₂×D₆₇	1	4	yes	complemented
936	#532	—	67	4	no	—
937	#532	—	67	4	no	—
938	#529	—	67	4	no	—
939	#529	—	67	4	no	—
940	#525	—	67	2	no	—
941	#525	—	67	4	no	—
942	#525	—	67	2	no	—
943	#525	—	67	4	no	—
944	#525	—	67	2	no	—
945	#525	—	67	2	no	—
946	#525	—	67	2	no	—
947	#525	—	67	2	no	—
948	#525	—	67	4	no	—
949	#525	—	67	4	no	—
950	#525	—	67	8	no	—
951	#525	—	67	4	no	—
952	#525	—	67	4	no	—
953	#525	—	67	2	no	—
954	#525	C₂×D₆₇	1	2	yes	complemented
955	C₂×#123	—	67	4	no	—
956	C₂×C₂²⋊Q₈	—	67	2	no	—
957	C₂×C₂²⋊Q₈	—	67	2	no	—
958	C₂×#121	—	67	2	no	—
959	C₂×#121	—	67	2	no	—
960	C₂×#121	—	67	4	no	—
961	C₂×#121	—	67	4	no	—
962	C₂×#121	—	67	4	no	—
963	C₂×#121	—	67	4	no	—
964	C₂×#121	—	67	4	no	—
965	C₂×#121	—	67	4	no	—
966	C₂×#121	—	67	2	no	—
967	C₂×#121	—	67	2	no	—
968	C₂×#121	—	67	4	no	—
969	C₂×#120	—	67	4	no	—
970	C₂×#120	—	67	4	no	—
971	C₂×#120	C₂×D₆₇	1	4	yes	complemented
972	#520	—	67	2	no	—
973	#520	—	67	2	no	—
974	#518	—	67	1	no	—
975	#518	—	67	4	no	—
976	#518	—	67	4	no	—
977	#518	—	67	4	no	—
978	#518	C₂×D₆₇	1	1	yes	characteristic, complemented
979	C₂×C₄×D₄	—	67	4	no	—
980	C₂×C₄×D₄	—	67	4	no	—
981	C₂×#117	—	67	2	no	—
982	C₂²×C₄⋊C₄	—	67	1	no	—
983	C₂²×C₂²⋊C₄	—	67	2	no	—
984	C₂⁵	—	67	1	no	—
985	C₂⁵	C₂²×D₆₇	1	2	yes	—
986	H(5,𝔽₂)	—	4	4	no	—
987	H(5,𝔽₂)	—	268	4	no	—
988	H(5,𝔽₂)	—	268	16	no	—
989	C₂×#41	—	268	8	no	—
990	C₂×#41	—	67	2	no	—
991	C₂×#41	—	67	4	no	—
992	C₂×#41	—	67	2	no	—
993	C₂×#41	—	67	8	no	—
994	C₂×#41	—	67	4	no	—
995	C₂×#41	—	67	8	no	—
996	C₂×#41	—	67	4	no	—
997	C₂×#41	—	67	8	no	—
998	C₂×#41	—	67	2	no	—
999	C₂×#41	C₂²×D₆₇	1	2	yes	—
1000	C₂×#41	C₂²×D₆₇	1	4	yes	complemented
1001	C₂²×Q₈	—	67	2	no	—
1002	C₂²×D₄	—	4	4	no	—
1003	C₂²×D₄	—	268	8	no	—
1004	C₂²×D₄	—	67	4	no	—
1005	C₂²×D₄	—	67	4	no	—
1006	C₂²×D₄	—	67	4	no	—
1007	C₂²×D₄	—	67	4	no	—
1008	C₂²×D₄	—	67	4	no	—
1009	C₂²×D₄	—	67	8	no	—
1010	C₂²×D₄	—	67	4	no	—
1011	C₂²×D₄	—	67	8	no	—
1012	C₂²×D₄	—	67	4	no	—
1013	C₂²×D₄	—	67	4	no	—
1014	C₂²×D₄	—	67	2	no	—
1015	C₂²×D₄	—	67	8	no	—
1016	C₂²×D₄	—	67	4	no	—
1017	C₂²×D₄	—	67	4	no	—
1018	C₂²×D₄	—	67	4	no	—
1019	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1020	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
1021	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
1022	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
1023	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
1024	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
1025	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
1026	C₂²×D₄	C₂²×D₆₇	1	4	yes	—
1027	C₂²×D₄	C₂²×D₆₇	1	4	yes	complemented
1028	C₂³×C₄	—	268	4	no	—
1029	C₂³×C₄	—	67	1	no	—
1030	C₂³×C₄	—	67	2	no	—
1031	C₂³×C₄	—	67	2	no	—
1032	C₂³×C₄	—	67	2	no	—
1033	C₂³×C₄	—	67	4	no	—
1034	C₂³×C₄	—	67	2	no	—
1035	C₂³×C₄	—	67	2	no	—
1036	C₂³×C₄	—	67	2	no	—
1037	C₂³×C₄	—	67	2	no	—
1038	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1039	C₄⋊Q₈	—	67	4	no	—
1040	C₄⋊Q₈	—	67	4	no	—
1041	#127	—	67	4	no	—
1042	#127	—	67	8	no	—
1043	#127	—	67	8	no	—
1044	#127	C₂²×D₆₇	1	4	yes	complemented
1045	#126	—	67	8	no	—
1046	#126	—	67	8	no	—
1047	#126	—	67	8	no	—
1048	#126	—	67	8	no	—
1049	#126	—	67	8	no	—
1050	#126	—	67	8	no	—
1051	#125	—	67	4	no	—
1052	#125	—	67	8	no	—
1053	#125	—	67	8	no	—
1054	#125	—	67	4	no	—
1055	#124	—	67	4	no	—
1056	#124	—	67	8	no	—
1057	#124	—	67	8	no	—
1058	#124	—	67	8	no	—
1059	#124	—	67	8	no	—
1060	#124	—	67	8	no	—
1061	#124	—	67	8	no	—
1062	#124	C₂²×D₆₇	1	4	yes	complemented
1063	#123	—	67	4	no	—
1064	#123	—	67	8	no	—
1065	#123	—	67	8	no	—
1066	#123	—	67	8	no	—
1067	#123	—	67	8	no	—
1068	#123	—	67	8	no	—
1069	#123	—	67	4	no	—
1070	#123	—	67	8	no	—
1071	#123	—	67	8	no	—
1072	#123	—	67	4	no	—
1073	#123	—	67	4	no	—
1074	#123	—	67	4	no	—
1075	#123	—	67	4	no	—
1076	#123	—	67	4	no	—
1077	#123	—	67	8	no	—
1078	#123	—	67	8	no	—
1079	#123	—	67	8	no	—
1080	#123	—	67	8	no	—
1081	#123	—	67	8	no	—
1082	#123	—	67	8	no	—
1083	#123	—	67	8	no	—
1084	#123	—	67	8	no	—
1085	#123	C₂²×D₆₇	1	4	yes	—
1086	#123	C₂²×D₆₇	1	8	yes	complemented
1087	C₂²⋊Q₈	—	67	2	no	—
1088	C₂²⋊Q₈	—	67	2	no	—
1089	C₂²⋊Q₈	—	67	4	no	—
1090	C₂²⋊Q₈	—	67	2	no	—
1091	C₂²⋊Q₈	—	67	2	no	—
1092	C₂²⋊Q₈	—	67	4	no	—
1093	C₂²⋊Q₈	—	67	8	no	—
1094	C₂²⋊Q₈	—	67	8	no	—
1095	C₂²⋊Q₈	—	67	2	no	—
1096	C₂²⋊Q₈	—	67	2	no	—
1097	C₂²⋊Q₈	—	67	4	no	—
1098	C₂²⋊Q₈	—	67	4	no	—
1099	C₂²⋊Q₈	—	67	8	no	—
1100	C₂²⋊Q₈	—	67	4	no	—
1101	C₂²⋊Q₈	—	67	4	no	—
1102	C₂²⋊Q₈	—	67	8	no	—
1103	C₂²⋊Q₈	—	67	8	no	—
1104	C₂²⋊Q₈	—	67	8	no	—
1105	C₂²⋊Q₈	—	67	8	no	—
1106	C₂²⋊Q₈	—	67	8	no	—
1107	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1108	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1109	#121	—	67	4	no	—
1110	#121	—	67	4	no	—
1111	#121	—	67	2	no	—
1112	#121	—	67	8	no	—
1113	#121	—	67	4	no	—
1114	#121	—	67	4	no	—
1115	#121	—	67	8	no	—
1116	#121	—	67	4	no	—
1117	#121	—	67	4	no	—
1118	#121	—	67	8	no	—
1119	#121	—	67	4	no	—
1120	#121	—	67	4	no	—
1121	#121	—	67	8	no	—
1122	#121	—	67	4	no	—
1123	#121	—	67	2	no	—
1124	#121	—	67	4	no	—
1125	#121	—	67	8	no	—
1126	#121	—	67	4	no	—
1127	#121	—	67	4	no	—
1128	#121	—	67	8	no	—
1129	#121	—	67	8	no	—
1130	#121	—	67	8	no	—
1131	#121	—	67	4	no	—
1132	#121	—	67	8	no	—
1133	#121	—	67	8	no	—
1134	#121	—	67	8	no	—
1135	#121	—	67	8	no	—
1136	#121	—	67	8	no	—
1137	#121	—	67	8	no	—
1138	#121	—	67	8	no	—
1139	#121	—	67	8	no	—
1140	#121	—	67	8	no	—
1141	#121	—	67	8	no	—
1142	#121	—	67	2	no	—
1143	#121	—	67	2	no	—
1144	#121	—	67	4	no	—
1145	#121	—	67	8	no	—
1146	#121	—	67	8	no	—
1147	#121	—	67	2	no	—
1148	#121	—	67	2	no	—
1149	#121	—	67	4	no	—
1150	#121	—	67	4	no	—
1151	#121	—	67	8	no	—
1152	#121	—	67	8	no	—
1153	#121	—	67	8	no	—
1154	#121	—	67	8	no	—
1155	#121	C₂²×D₆₇	1	2	yes	—
1156	#121	C₂²×D₆₇	1	2	yes	—
1157	#121	C₂²×D₆₇	1	4	yes	complemented
1158	#121	C₂²×D₆₇	1	4	yes	complemented
1159	#121	C₂²×D₆₇	1	8	yes	complemented
1160	#121	C₂²×D₆₇	1	8	yes	complemented
1161	#120	—	67	4	no	—
1162	#120	—	67	8	no	—
1163	#120	—	67	8	no	—
1164	#120	—	67	8	no	—
1165	#120	—	67	8	no	—
1166	#120	—	67	8	no	—
1167	#120	—	67	4	no	—
1168	#120	—	67	4	no	—
1169	#120	—	67	4	no	—
1170	#120	—	67	8	no	—
1171	#120	—	67	8	no	—
1172	#120	—	67	8	no	—
1173	#120	—	67	8	no	—
1174	#120	—	67	4	no	—
1175	#120	—	67	4	no	—
1176	#120	—	67	4	no	—
1177	#120	—	67	8	no	—
1178	#120	C₂²×D₆₇	1	4	yes	—
1179	#120	C₂²×D₆₇	1	8	yes	—
1180	#120	C₂²×D₆₇	1	8	yes	—
1181	#120	C₂²×D₆₇	1	8	yes	—
1182	#120	C₂²×D₆₇	1	8	yes	complemented
1183	C₄×Q₈	—	67	4	no	—
1184	C₄×Q₈	—	67	4	no	—
1185	C₄×D₄	—	67	4	no	—
1186	C₄×D₄	—	67	4	no	—
1187	C₄×D₄	—	67	8	no	—
1188	C₄×D₄	—	67	8	no	—
1189	C₄×D₄	—	67	4	no	—
1190	C₄×D₄	—	67	8	no	—
1191	C₄×D₄	—	67	4	no	—
1192	C₄×D₄	—	67	8	no	—
1193	C₄×D₄	—	67	4	no	—
1194	C₄×D₄	—	67	4	no	—
1195	C₄×D₄	—	67	4	no	—
1196	C₄×D₄	—	67	4	no	—
1197	C₄×D₄	—	67	4	no	—
1198	C₄×D₄	—	67	8	no	—
1199	C₄×D₄	—	67	8	no	—
1200	C₄×D₄	—	67	8	no	—
1201	C₄×D₄	—	67	8	no	—
1202	C₄×D₄	—	67	4	no	—
1203	C₄×D₄	—	67	4	no	—
1204	C₄×D₄	—	67	4	no	—
1205	C₄×D₄	—	67	4	no	—
1206	C₄×D₄	—	67	4	no	—
1207	C₄×D₄	—	67	4	no	—
1208	C₄×D₄	—	67	8	no	—
1209	C₄×D₄	—	67	8	no	—
1210	C₄×D₄	—	67	8	no	—
1211	C₄×D₄	—	67	8	no	—
1212	C₄×D₄	—	67	4	no	—
1213	C₄×D₄	—	67	4	no	—
1214	C₄×D₄	—	67	4	no	—
1215	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1216	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1217	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1218	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1219	#117	—	67	2	no	—
1220	#117	—	67	8	no	—
1221	#117	—	67	4	no	—
1222	#117	—	67	2	no	—
1223	#117	—	67	2	no	—
1224	#117	—	67	4	no	—
1225	#117	—	67	4	no	—
1226	#117	—	67	8	no	—
1227	#117	—	67	8	no	—
1228	#117	—	67	4	no	—
1229	#117	C₂²×D₆₇	1	2	yes	—
1230	C₂×C₄⋊C₄	—	67	2	no	—
1231	C₂×C₄⋊C₄	—	67	2	no	—
1232	C₂×C₄⋊C₄	—	67	4	no	—
1233	C₂×C₄⋊C₄	—	67	4	no	—
1234	C₂×C₄⋊C₄	—	67	4	no	—
1235	C₂×C₄⋊C₄	—	67	2	no	—
1236	C₂×C₄⋊C₄	—	67	2	no	—
1237	C₂×C₄⋊C₄	—	67	4	no	—
1238	C₂×C₄⋊C₄	—	67	4	no	—
1239	C₂×C₄⋊C₄	—	67	4	no	—
1240	C₂×C₂²⋊C₄	—	67	4	no	—
1241	C₂×C₂²⋊C₄	—	67	4	no	—
1242	C₂×C₂²⋊C₄	—	67	8	no	—
1243	C₂×C₂²⋊C₄	—	67	4	no	—
1244	C₂×C₂²⋊C₄	—	67	4	no	—
1245	C₂×C₂²⋊C₄	—	67	4	no	—
1246	C₂×C₂²⋊C₄	—	67	4	no	—
1247	C₂×C₂²⋊C₄	—	67	4	no	—
1248	C₂×C₂²⋊C₄	—	67	8	no	—
1249	C₂×C₂²⋊C₄	—	67	4	no	—
1250	C₂×C₂²⋊C₄	—	67	4	no	—
1251	C₂×C₂²⋊C₄	—	67	4	no	—
1252	C₂×C₂²⋊C₄	—	67	4	no	—
1253	C₂×C₂²⋊C₄	—	67	4	no	—
1254	C₂×C₂²⋊C₄	—	67	8	no	—
1255	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1256	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1257	C₂×C₂²⋊C₄	C₂²×D₆₇	1	4	yes	—
1258	C₂×C₄²	—	67	4	no	—
1259	C₂⁴	—	4	4	no	—
1260	C₂⁴	—	4	4	no	—
1261	C₂⁴	—	4	4	no	—
1262	C₂⁴	—	268	2	no	—
1263	C₂⁴	—	268	2	no	—
1264	C₂⁴	—	67	4	no	—
1265	C₂⁴	—	67	1	no	—
1266	C₂⁴	—	67	4	no	—
1267	C₂⁴	—	67	1	no	—
1268	C₂⁴	—	67	2	no	—
1269	C₂⁴	—	67	2	no	—
1270	C₂⁴	—	134	4	no	—
1271	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1272	C₂⁴	C₂³×D₆₇	1	2	yes	—
1273	C₂⁴	C₂³×D₆₇	1	4	yes	—
1274	C₂⁴	C₂³×D₆₇	1	4	yes	—
1275	C₂⁴	C₂³×D₆₇	1	2	yes	—
1276	C₂⁴	C₂³×D₆₇	1	4	yes	—
1277	#41	—	2	8	no	—
1278	#41	—	4	8	no	—
1279	#41	—	268	8	no	—
1280	#41	—	268	16	no	—
1281	#41	—	268	4	no	—
1282	#41	—	268	8	no	—
1283	#41	—	268	8	no	—
1284	#41	—	268	16	no	—
1285	#41	—	268	16	no	—
1286	#41	—	268	4	no	—
1287	#41	—	134	8	no	—
1288	C₂×Q₈	—	268	4	no	—
1289	C₂×Q₈	—	67	4	no	—
1290	C₂×Q₈	—	67	8	no	—
1291	C₂×Q₈	—	67	2	no	—
1292	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1293	C₂×D₄	—	2	4	no	—
1294	C₂×D₄	—	2	4	no	—
1295	C₂×D₄	—	4	8	no	—
1296	C₂×D₄	—	4	8	no	—
1297	C₂×D₄	—	4	8	no	—
1298	C₂×D₄	—	4	4	no	—
1299	C₂×D₄	—	4	8	no	—
1300	C₂×D₄	—	4	8	no	—
1301	C₂×D₄	—	4	8	no	—
1302	C₂×D₄	—	268	8	no	—
1303	C₂×D₄	—	268	8	no	—
1304	C₂×D₄	—	268	16	no	—
1305	C₂×D₄	—	268	8	no	—
1306	C₂×D₄	—	268	8	no	—
1307	C₂×D₄	—	268	8	no	—
1308	C₂×D₄	—	268	8	no	—
1309	C₂×D₄	—	268	16	no	—
1310	C₂×D₄	—	268	8	no	—
1311	C₂×D₄	—	268	16	no	—
1312	C₂×D₄	—	268	4	no	—
1313	C₂×D₄	—	268	8	no	—
1314	C₂×D₄	—	268	8	no	—
1315	C₂×D₄	—	67	8	no	—
1316	C₂×D₄	—	67	4	no	—
1317	C₂×D₄	—	67	4	no	—
1318	C₂×D₄	—	67	4	no	—
1319	C₂×D₄	—	67	8	no	—
1320	C₂×D₄	—	67	8	no	—
1321	C₂×D₄	—	67	8	no	—
1322	C₂×D₄	—	67	8	no	—
1323	C₂×D₄	—	67	8	no	—
1324	C₂×D₄	—	67	4	no	—
1325	C₂×D₄	—	67	4	no	—
1326	C₂×D₄	—	67	4	no	—
1327	C₂×D₄	—	67	4	no	—
1328	C₂×D₄	—	67	8	no	—
1329	C₂×D₄	—	67	8	no	—
1330	C₂×D₄	—	67	4	no	—
1331	C₂×D₄	—	67	4	no	—
1332	C₂×D₄	—	67	4	no	—
1333	C₂×D₄	—	67	2	no	—
1334	C₂×D₄	—	134	16	no	—
1335	C₂×D₄	—	134	16	no	—
1336	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1337	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1338	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1339	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1340	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1341	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1342	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1343	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1344	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1345	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1346	C₂²×C₄	—	2	4	no	—
1347	C₂²×C₄	—	268	4	no	—
1348	C₂²×C₄	—	268	4	no	—
1349	C₂²×C₄	—	268	4	no	—
1350	C₂²×C₄	—	268	4	no	—
1351	C₂²×C₄	—	268	4	no	—
1352	C₂²×C₄	—	268	8	no	—
1353	C₂²×C₄	—	268	2	no	—
1354	C₂²×C₄	—	268	4	no	—
1355	C₂²×C₄	—	67	1	no	—
1356	C₂²×C₄	—	67	2	no	—
1357	C₂²×C₄	—	67	1	no	—
1358	C₂²×C₄	—	67	4	no	—
1359	C₂²×C₄	—	67	4	no	—
1360	C₂²×C₄	—	67	4	no	—
1361	C₂²×C₄	—	67	4	no	—
1362	C₂²×C₄	—	67	4	no	—
1363	C₂²×C₄	—	67	4	no	—
1364	C₂²×C₄	—	67	8	no	—
1365	C₂²×C₄	—	67	4	no	—
1366	C₂²×C₄	—	67	2	no	—
1367	C₂²×C₄	—	67	4	no	—
1368	C₂²×C₄	—	67	2	no	—
1369	C₂²×C₄	—	67	4	no	—
1370	C₂²×C₄	—	67	8	no	—
1371	C₂²×C₄	—	67	2	no	—
1372	C₂²×C₄	—	67	2	no	—
1373	C₂²×C₄	—	67	2	no	—
1374	C₂²×C₄	—	67	4	no	—
1375	C₂²×C₄	—	67	2	no	—
1376	C₂²×C₄	—	67	4	no	—
1377	C₂²×C₄	—	67	2	no	—
1378	C₂²×C₄	—	67	4	no	—
1379	C₂²×C₄	—	67	2	no	—
1380	C₂²×C₄	—	67	2	no	—
1381	C₂²×C₄	—	134	8	no	—
1382	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1383	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1384	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1385	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1386	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1387	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1388	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1389	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1390	C₄⋊C₄	—	67	4	no	—
1391	C₄⋊C₄	—	67	4	no	—
1392	C₄⋊C₄	—	67	2	no	—
1393	C₄⋊C₄	—	67	8	no	—
1394	C₄⋊C₄	—	67	2	no	—
1395	C₄⋊C₄	—	67	4	no	—
1396	C₄⋊C₄	—	67	4	no	—
1397	C₄⋊C₄	—	67	4	no	—
1398	C₄⋊C₄	—	67	4	no	—
1399	C₄⋊C₄	—	67	4	no	—
1400	C₄⋊C₄	—	67	4	no	—
1401	C₄⋊C₄	—	67	4	no	—
1402	C₄⋊C₄	—	67	4	no	—
1403	C₄⋊C₄	—	67	8	no	—
1404	C₄⋊C₄	—	67	8	no	—
1405	C₄⋊C₄	—	67	8	no	—
1406	C₄⋊C₄	—	67	8	no	—
1407	C₄⋊C₄	—	67	8	no	—
1408	C₄⋊C₄	—	67	8	no	—
1409	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1410	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1411	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1412	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1413	C₂²⋊C₄	—	67	8	no	—
1414	C₂²⋊C₄	—	67	8	no	—
1415	C₂²⋊C₄	—	67	4	no	—
1416	C₂²⋊C₄	—	67	4	no	—
1417	C₂²⋊C₄	—	67	4	no	—
1418	C₂²⋊C₄	—	67	4	no	—
1419	C₂²⋊C₄	—	67	8	no	—
1420	C₂²⋊C₄	—	67	8	no	—
1421	C₂²⋊C₄	—	67	8	no	—
1422	C₂²⋊C₄	—	67	8	no	—
1423	C₂²⋊C₄	—	67	8	no	—
1424	C₂²⋊C₄	—	67	8	no	—
1425	C₂²⋊C₄	—	67	4	no	—
1426	C₂²⋊C₄	—	67	8	no	—
1427	C₂²⋊C₄	—	67	4	no	—
1428	C₂²⋊C₄	—	67	4	no	—
1429	C₂²⋊C₄	—	67	4	no	—
1430	C₂²⋊C₄	—	67	4	no	—
1431	C₂²⋊C₄	—	67	4	no	—
1432	C₂²⋊C₄	—	67	8	no	—
1433	C₂²⋊C₄	—	67	4	no	—
1434	C₂²⋊C₄	—	67	4	no	—
1435	C₂²⋊C₄	—	67	4	no	—
1436	C₂²⋊C₄	—	67	4	no	—
1437	C₂²⋊C₄	—	67	4	no	—
1438	C₂²⋊C₄	—	67	8	no	—
1439	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1440	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1441	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1442	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1443	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1444	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1445	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1446	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1447	C₄²	—	67	4	no	—
1448	C₄²	—	67	4	no	—
1449	C₄²	—	67	4	no	—
1450	C₄²	—	67	8	no	—
1451	C₄²	—	67	8	no	—
1452	C₄²	C₂³×D₆₇	1	4	yes	—
1453	C₂³	—	2	2	no	—
1454	C₂³	—	2	2	no	—
1455	C₂³	—	2	2	no	—
1456	C₂³	—	2	8	no	—
1457	C₂³	—	2	4	no	—
1458	C₂³	—	2	4	no	—
1459	C₂³	—	2	8	no	—
1460	C₂³	—	4	4	no	—
1461	C₂³	—	4	4	no	—
1462	C₂³	—	4	2	no	—
1463	C₂³	—	4	4	no	—
1464	C₂³	—	4	2	no	—
1465	C₂³	—	4	2	no	—
1466	C₂³	—	4	4	no	—
1467	C₂³	—	4	2	no	—
1468	C₂³	—	4	4	no	—
1469	C₂³	—	4	4	no	—
1470	C₂³	—	4	4	no	—
1471	C₂³	—	8	16	no	—
1472	C₂³	—	268	16	no	—
1473	C₂³	—	268	1	no	—
1474	C₂³	—	268	2	no	—
1475	C₂³	—	268	1	no	—
1476	C₂³	—	268	1	no	—
1477	C₂³	—	268	2	no	—
1478	C₂³	—	268	1	no	—
1479	C₂³	—	268	4	no	—
1480	C₂³	—	268	4	no	—
1481	C₂³	—	268	4	no	—
1482	C₂³	—	268	4	no	—
1483	C₂³	—	268	4	no	—
1484	C₂³	—	67	4	no	—
1485	C₂³	—	67	2	no	—
1486	C₂³	—	67	4	no	—
1487	C₂³	—	67	2	no	—
1488	C₂³	—	134	4	no	—
1489	C₂³	—	134	4	no	—
1490	C₂³	—	134	8	no	—
1491	C₂³	—	134	2	no	—
1492	C₂³	—	134	4	no	—
1493	C₂³	—	134	4	no	—
1494	C₂³	C₂⁴×D₆₇	1	4	yes	—
1495	C₂³	C₂⁴×D₆₇	1	4	yes	—
1496	C₂³	C₂⁴×D₆₇	1	4	yes	—
1497	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1498	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1499	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1500	Q₈	—	2	4	no	—
1501	Q₈	—	268	4	no	—
1502	Q₈	—	268	8	no	—
1503	Q₈	—	134	4	no	—
1504	D₄	—	2	8	no	—
1505	D₄	—	2	8	no	—
1506	D₄	—	2	8	no	—
1507	D₄	—	2	8	no	—
1508	D₄	—	2	8	no	—
1509	D₄	—	2	4	no	—
1510	D₄	—	4	8	no	—
1511	D₄	—	4	8	no	—
1512	D₄	—	4	8	no	—
1513	D₄	—	4	8	no	—
1514	D₄	—	268	4	no	—
1515	D₄	—	268	4	no	—
1516	D₄	—	268	8	no	—
1517	D₄	—	268	8	no	—
1518	D₄	—	268	8	no	—
1519	D₄	—	268	8	no	—
1520	D₄	—	268	8	no	—
1521	D₄	—	268	4	no	—
1522	D₄	—	268	4	no	—
1523	D₄	—	268	8	no	—
1524	D₄	—	268	4	no	—
1525	D₄	—	134	8	no	—
1526	D₄	—	134	16	no	—
1527	D₄	—	134	16	no	—
1528	D₄	—	134	8	no	—
1529	D₄	—	134	8	no	—
1530	D₄	—	134	8	no	—
1531	D₄	—	134	8	no	—
1532	D₄	—	134	4	no	—
1533	C₂×C₄	—	2	2	no	—
1534	C₂×C₄	—	2	4	no	—
1535	C₂×C₄	—	2	4	no	—
1536	C₂×C₄	—	2	8	no	—
1537	C₂×C₄	—	4	4	no	—
1538	C₂×C₄	—	4	4	no	—
1539	C₂×C₄	—	4	4	no	—
1540	C₂×C₄	—	268	2	no	—
1541	C₂×C₄	—	268	2	no	—
1542	C₂×C₄	—	268	2	no	—
1543	C₂×C₄	—	268	2	no	—
1544	C₂×C₄	—	268	4	no	—
1545	C₂×C₄	—	268	4	no	—
1546	C₂×C₄	—	268	8	no	—
1547	C₂×C₄	—	268	4	no	—
1548	C₂×C₄	—	268	1	no	—
1549	C₂×C₄	—	268	2	no	—
1550	C₂×C₄	—	268	1	no	—
1551	C₂×C₄	—	268	4	no	—
1552	C₂×C₄	—	268	4	no	—
1553	C₂×C₄	—	268	4	no	—
1554	C₂×C₄	—	268	8	no	—
1555	C₂×C₄	—	268	4	no	—
1556	C₂×C₄	—	268	4	no	—
1557	C₂×C₄	—	268	4	no	—
1558	C₂×C₄	—	67	4	no	—
1559	C₂×C₄	—	67	2	no	—
1560	C₂×C₄	—	67	4	no	—
1561	C₂×C₄	—	67	4	no	—
1562	C₂×C₄	—	67	8	no	—
1563	C₂×C₄	—	67	2	no	—
1564	C₂×C₄	—	134	8	no	—
1565	C₂×C₄	—	134	8	no	—
1566	C₂×C₄	—	134	4	no	—
1567	C₂×C₄	—	134	4	no	—
1568	C₂×C₄	—	134	4	no	—
1569	C₂×C₄	—	134	4	no	—
1570	C₂×C₄	—	134	4	no	—
1571	C₂×C₄	—	134	8	no	—
1572	C₂×C₄	#14524088	1	4	yes	complemented
1573	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1574	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1575	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1576	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1577	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1578	C₂²	—	2	8	no	—
1579	C₂²	—	2	1	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	4	no	—
1586	C₂²	—	2	4	no	—
1587	C₂²	—	2	4	no	—
1588	C₂²	—	2	4	no	—
1589	C₂²	—	2	4	no	—
1590	C₂²	—	2	4	no	—
1591	C₂²	—	2	4	no	—
1592	C₂²	—	2	4	no	—
1593	C₂²	—	2	4	no	—
1594	C₂²	—	8	8	no	—
1595	C₂²	—	8	4	no	—
1596	C₂²	—	8	4	no	—
1597	C₂²	—	8	8	no	—
1598	C₂²	—	268	4	no	—
1599	C₂²	—	268	8	no	—
1600	C₂²	—	268	8	no	—
1601	C₂²	—	268	4	no	—
1602	C₂²	—	16	4	no	—
1603	C₂²	—	536	8	no	—
1604	C₂²	—	1072	4	no	—
1605	C₂²	—	67	4	no	—
1606	C₂²	—	134	4	no	—
1607	C₂²	—	134	2	no	—
1608	C₂²	—	134	2	no	—
1609	C₂²	—	134	4	no	—
1610	C₂²	—	134	2	no	—
1611	C₂²	—	134	4	no	—
1612	C₂²	—	134	2	no	—
1613	C₂²	—	134	2	no	—
1614	C₂²	H(5,𝔽₂)×D₆₇	1	2	yes	—
1615	C₂²	C₂×#14524088	1	2	yes	—
1616	C₂²	#16864231	1	2	yes	—
1617	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1618	C₄	—	2	4	no	—
1619	C₄	—	2	2	no	—
1620	C₄	—	2	4	no	—
1621	C₄	—	2	4	no	—
1622	C₄	—	134	8	no	—
1623	C₄	—	134	4	no	—
1624	C₄	—	134	2	no	—
1625	C₄	—	134	2	no	—
1626	C₄	—	134	4	no	—
1627	C₄	—	134	4	no	—
1628	C₄	C₂×#14524088	1	4	yes	—
1629	C₂	—	2	2	no	—
1630	C₂	—	2	2	no	—
1631	C₂	—	2	2	no	—
1632	C₂	—	4	4	no	—
1633	C₂	—	4	4	no	—
1634	C₂	—	4	4	no	—
1635	C₂	—	268	2	no	—
1636	C₂	—	268	4	no	—
1637	C₂	—	134	4	no	—
1638	C₂	C₂×H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1639	C₂	C₂²×#14524088	1	1	yes	characteristic
1640	C₂	C₂×#16864231	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3484	C₂
hypercenter	#3484	D₆₇
hypocenter	C₆₇	#62818
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3484

Complements

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

N	H ≅ G/N	type
1. #22574530	C₂	semidirect
2. #22574511	C₂	semidirect
3. #22574440	C₂	semidirect
4. #22574429	C₂	semidirect
5. #22574389	C₂	semidirect
6. #22574238	C₂	semidirect
7. #22574232	C₂	semidirect
8. #22574036	C₂	semidirect
9. #22573965	C₂	semidirect
10. #22573941	C₂	semidirect
11. #22573934	C₂	semidirect
12. #22573915	C₂	semidirect
13. #22573896	C₂	semidirect
14. #22573876	C₂	semidirect
15. #22573871	C₂	semidirect
16. #22573844	C₂	semidirect
17. #22573838	C₂	semidirect
18. #525×D₆₇	C₂	semidirect
19. C₂²×#14524014	C₂	semidirect
20. C₆₇×#3484	C₂	semidirect
21. C₂×#14524088	C₂²	semidirect
22. C₂×#14524088	C₂²	semidirect
23. C₂×#41×D₆₇	C₂²	semidirect
24. C₂³×C₂²⋊D₆₇	C₂²	semidirect
25. C₂³×C₄×D₆₇	C₂²	semidirect
26. #16864143	C₂²	semidirect
27. #16864141	C₂²	semidirect
28. #16864135	C₂²	semidirect
29. #16864134	C₂²	semidirect
30. #16864111	C₂²	semidirect
31. #16864110	C₂²	semidirect
32. #16864104	C₂²	semidirect
33. #16864103	C₂²	semidirect
34. #16864098	C₂²	semidirect
35. #16864098	C₂²	semidirect
36. #16864096	C₂²	semidirect
37. #16864096	C₂²	semidirect
38. #16864093	C₂²	semidirect
39. #16864093	C₂²	semidirect
40. #16864092	C₂²	semidirect
41. #16864091	C₂²	semidirect
42. #16864088	C₂²	semidirect
43. #16864086	C₂²	semidirect
44. #16864077	C₂²	semidirect
45. #16864077	C₂²	semidirect
46. #16864072	C₂²	semidirect
47. #16864072	C₂²	semidirect
48. #16864066	C₂²	semidirect
49. #16864065	C₂²	semidirect
50. #16864054	C₂²	semidirect
51. #16864053	C₂²	semidirect
52. #16864051	C₂²	semidirect
53. #16864050	C₂²	semidirect
54. #16864046	C₂²	semidirect
55. #16864046	C₂²	semidirect
56. #16864043	C₂²	semidirect
57. #16864040	C₂²	semidirect
58. #16864040	C₂²	semidirect
59. #16864040	C₂²	semidirect
60. #16864040	C₂²	semidirect
61. #16864040	C₂²	semidirect
62. #16864039	C₂²	semidirect
63. #16864036	C₂²	semidirect
64. #16864036	C₂²	semidirect
65. #16864033	C₂²	semidirect
66. #16864033	C₂²	semidirect
67. #16864033	C₂²	semidirect
68. #16864033	C₂²	semidirect
69. #16864033	C₂²	semidirect
70. #16864031	C₂²	semidirect
71. D₄×C₂²⋊D₆₇	C₂²	semidirect
72. D₄×C₂²⋊D₆₇	C₂²	semidirect
73. D₄×C₂²⋊D₆₇	C₂²	semidirect
74. D₄×C₂²⋊D₆₇	C₂²	semidirect
75. D₄×C₂²⋊D₆₇	C₂²	semidirect
76. #16864028	C₂²	semidirect
77. #16864028	C₂²	semidirect
78. #16864024	C₂²	semidirect
79. #16864022	C₂²	semidirect
80. #16864015	C₂²	semidirect
81. #16864011	C₂²	semidirect
82. #16864000	C₂²	semidirect
83. #16863999	C₂²	semidirect
84. #16863997	C₂²	semidirect
85. #16863996	C₂²	semidirect
86. #16863990	C₂²	semidirect
87. #16863989	C₂²	semidirect
88. #16863982	C₂²	semidirect
89. #16863981	C₂²	semidirect
90. #16863981	C₂²	semidirect
91. #16863981	C₂²	semidirect
92. #16863978	C₂²	semidirect
93. #16863975	C₂²	semidirect
94. #16863975	C₂²	semidirect
95. #16863974	C₂²	semidirect
96. #16863974	C₂²	semidirect
97. #16863963	C₂²	semidirect
98. #16863963	C₂²	semidirect
99. #16863962	C₂²	semidirect
100. #16863961	C₂²	semidirect
101. #16863958	C₂²	semidirect
102. #16863956	C₂²	semidirect
103. #16863956	C₂²	semidirect
104. #16863955	C₂²	semidirect
105. #16863955	C₂²	semidirect
106. #16863955	C₂²	semidirect
107. #16863944	C₂²	semidirect
108. #16863943	C₂²	semidirect
109. #16863928	C₂²	semidirect
110. #16863925	C₂²	semidirect
111. #16863909	C₂²	semidirect
112. #16863909	C₂²	semidirect
113. #16863908	C₂²	semidirect
114. #16863907	C₂²	semidirect
115. #16863906	C₂²	semidirect
116. #16863906	C₂²	semidirect
117. #16863906	C₂²	semidirect
118. #16863905	C₂²	semidirect
119. #16863905	C₂²	semidirect
120. #16863904	C₂²	semidirect
121. #16863903	C₂²	semidirect
122. #16863903	C₂²	semidirect
123. #16863902	C₂²	semidirect
124. #16863902	C₂²	semidirect
125. #123×D₆₇	C₂²	semidirect
126. C₂²⋊Q₈×D₆₇	C₂²	semidirect
127. C₂²⋊Q₈×D₆₇	C₂²	semidirect
128. C₂×#14524014	C₂²	semidirect
129. C₂×#14524014	C₂²	semidirect
130. C₂×#14524014	C₂²	semidirect
131. C₂×#14524014	C₂²	semidirect
132. C₂×#14524014	C₂²	semidirect
133. C₂×#14524014	C₂²	semidirect
134. C₂×#14524014	C₂²	semidirect
135. C₂×#14524014	C₂²	semidirect
136. #121×D₆₇	C₂²	semidirect
137. #121×D₆₇	C₂²	semidirect
138. #121×D₆₇	C₂²	semidirect
139. C₂×#14524012	C₂²	semidirect
140. #120×D₆₇	C₂²	semidirect
141. #16863879	C₂²	semidirect
142. #16863876	C₂²	semidirect
143. #16863871	C₂²	semidirect
144. #16863871	C₂²	semidirect
145. #16863869	C₂²	semidirect
146. #16863869	C₂²	semidirect
147. C₄×D₄×D₆₇	C₂²	semidirect
148. C₄×D₄×D₆₇	C₂²	semidirect
149. #117×D₆₇	C₂²	semidirect
150. C₂²×C₄⋊Dic₆₇	C₂²	semidirect
151. C₂²×C₂²⋊Dic₆₇	C₂²	semidirect
152. C₂×H(5,𝔽₂)×C₆₇	C₂²	semidirect
153. C₂³×D₄×C₆₇	C₂²	semidirect
154. #546×C₆₇	C₂²	semidirect
155. #546×C₆₇	C₂²	semidirect
156. D₄²×C₆₇	C₂²	semidirect
157. D₄²×C₆₇	C₂²	semidirect
158. #535×C₆₇	C₂²	semidirect
159. #534×C₆₇	C₂²	semidirect
160. #525×C₆₇	C₂²	semidirect
161. C₂×#120×C₆₇	C₂²	semidirect
162. #518×C₆₇	C₂²	semidirect
166. C₂×#11761629	C₂³	semidirect
168. C₂×#11761628	C₂³	semidirect
169. C₂×#11761628	C₂³	semidirect
172. C₂×#11761627	C₂³	semidirect
173. C₂×#11761627	C₂³	semidirect
174. C₂×#11761627	C₂³	semidirect
176. C₂×Q₈×D₆₇	C₂³	semidirect
186. C₂²×C₂²⋊D₆₇	C₂³	semidirect
190. C₂×D₄×D₆₇	C₂³	semidirect
191. C₂×D₄×D₆₇	C₂³	semidirect
192. C₂×D₄×D₆₇	C₂³	semidirect
202. C₂²×C₄×D₆₇	C₂³	semidirect
203. #14524043	C₂³	semidirect
204. #14524042	C₂³	semidirect
205. #14524039	C₂³	semidirect
206. #14524039	C₂³	semidirect
207. #14524039	C₂³	semidirect
208. #14524038	C₂³	semidirect
209. #14524036	C₂³	semidirect
210. #14524036	C₂³	semidirect
211. #14524036	C₂³	semidirect
212. #14524036	C₂³	semidirect
213. #14524036	C₂³	semidirect
214. #14524035	C₂³	semidirect
215. #14524034	C₂³	semidirect
216. #14524034	C₂³	semidirect
217. #14524033	C₂³	semidirect
218. #14524030	C₂³	semidirect
219. #14524030	C₂³	semidirect
220. #14524030	C₂³	semidirect
221. #14524029	C₂³	semidirect
222. #14524029	C₂³	semidirect
223. #14524029	C₂³	semidirect
224. #14524029	C₂³	semidirect
225. #14524028	C₂³	semidirect
226. #14524028	C₂³	semidirect
229. #14524027	C₂³	semidirect
230. #14524027	C₂³	semidirect
232. #14524026	C₂³	semidirect
233. #14524026	C₂³	semidirect
234. #14524025	C₂³	semidirect
235. #14524025	C₂³	semidirect
236. #14524025	C₂³	semidirect
237. #14524025	C₂³	semidirect
238. #14524025	C₂³	semidirect
239. #14524025	C₂³	semidirect
240. #14524025	C₂³	semidirect
243. #14524024	C₂³	semidirect
244. #14524024	C₂³	semidirect
245. #14524024	C₂³	semidirect
246. #14524024	C₂³	semidirect
247. #14524023	C₂³	semidirect
248. #14524023	C₂³	semidirect
249. #14524023	C₂³	semidirect
252. #14524022	C₂³	semidirect
253. #14524022	C₂³	semidirect
254. #14524022	C₂³	semidirect
255. #14524021	C₂³	semidirect
256. #14524021	C₂³	semidirect
261. #14524020	C₂³	semidirect
262. #14524020	C₂³	semidirect
263. #14524020	C₂³	semidirect
264. #14524019	C₂³	semidirect
265. #14524019	C₂³	semidirect
266. #14524019	C₂³	semidirect
267. #14524018	C₂³	semidirect
268. #14524018	C₂³	semidirect
271. #14524017	C₂³	semidirect
272. #14524017	C₂³	semidirect
273. #14524017	C₂³	semidirect
274. #14524016	C₂³	semidirect
275. #14524016	C₂³	semidirect
276. #14524016	C₂³	semidirect
277. #14524016	C₂³	semidirect
278. #14524016	C₂³	semidirect
279. #14524016	C₂³	semidirect
284. #14524015	C₂³	semidirect
285. #14524015	C₂³	semidirect
286. #14524015	C₂³	semidirect
287. #14524015	C₂³	semidirect
288. #14524015	C₂³	semidirect
289. #14524015	C₂³	semidirect
290. #14524015	C₂³	semidirect
291. #14524015	C₂³	semidirect
304. #14524014	C₂³	semidirect
305. #14524014	C₂³	semidirect
306. #14524014	C₂³	semidirect
307. #14524014	C₂³	semidirect
308. #14524014	C₂³	semidirect
309. #14524014	C₂³	semidirect
310. #14524014	C₂³	semidirect
311. #14524014	C₂³	semidirect
312. #14524014	C₂³	semidirect
316. #14524013	C₂³	semidirect
321. #14524012	C₂³	semidirect
322. #14524012	C₂³	semidirect
326. #14524011	C₂³	semidirect
327. #14524011	C₂³	semidirect
328. #14524011	C₂³	semidirect
329. #14524011	C₂³	semidirect
330. Q₈×Dic₆₇	C₂³	semidirect
331. C₄×Dic₁₃₄	C₂³	semidirect
332. C₄×D₂₆₈	C₂³	semidirect
333. C₄×D₂₆₈	C₂³	semidirect
334. C₄×D₂₆₈	C₂³	semidirect
339. D₄×Dic₆₇	C₂³	semidirect
340. D₄×Dic₆₇	C₂³	semidirect
341. D₄×Dic₆₇	C₂³	semidirect
342. D₄×Dic₆₇	C₂³	semidirect
343. D₄×Dic₆₇	C₂³	semidirect
344. #14524005	C₂³	semidirect
345. #14524005	C₂³	semidirect
348. C₄×C₂²⋊D₆₇	C₂³	semidirect
349. C₄×C₂²⋊D₆₇	C₂³	semidirect
350. C₄×C₂²⋊D₆₇	C₂³	semidirect
351. C₄×C₂²⋊D₆₇	C₂³	semidirect
352. C₄×C₂²⋊D₆₇	C₂³	semidirect
353. C₄×C₂²⋊D₆₇	C₂³	semidirect
358. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
359. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
360. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
361. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
363. #14524002	C₂³	semidirect
364. #14524002	C₂³	semidirect
365. #14524001	C₂³	semidirect
366. #14524001	C₂³	semidirect
367. #14524001	C₂³	semidirect
368. #14524000	C₂³	semidirect
371. #14523999	C₂³	semidirect
376. C₂×C₄⋊Dic₆₇	C₂³	semidirect
377. C₄⋊C₄×D₆₇	C₂³	semidirect
378. C₄⋊C₄×D₆₇	C₂³	semidirect
379. C₄⋊C₄×D₆₇	C₂³	semidirect
380. C₄⋊C₄×D₆₇	C₂³	semidirect
381. C₄⋊C₄×D₆₇	C₂³	semidirect
390. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
394. C₂²⋊C₄×D₆₇	C₂³	semidirect
395. C₂²⋊C₄×D₆₇	C₂³	semidirect
396. C₂²⋊C₄×D₆₇	C₂³	semidirect
397. C₄²×D₆₇	C₂³	semidirect
401. C₂×#41×C₆₇	C₂³	semidirect
411. C₂²×D₄×C₆₇	C₂³	semidirect
413. #127×C₆₇	C₂³	semidirect
414. #124×C₆₇	C₂³	semidirect
416. #123×C₆₇	C₂³	semidirect
421. #121×C₆₇	C₂³	semidirect
422. #121×C₆₇	C₂³	semidirect
423. #121×C₆₇	C₂³	semidirect
424. #121×C₆₇	C₂³	semidirect
429. #120×C₆₇	C₂³	semidirect
432. C₄×D₄×C₆₇	C₂³	semidirect
433. C₄×D₄×C₆₇	C₂³	semidirect
675. C₂²×D₆₇	H(5,𝔽₂)	semidirect
697. C₂×C₄×C₆₇	H(5,𝔽₂)	semidirect
838. #3484	D₆₇	semidirect
841. C₆₇	#62818	semidirect
844. C₂×H(5,𝔽₂)	C₂×D₆₇	semidirect
847. C₂³×D₄	C₂×D₆₇	semidirect
893. #546	C₂×D₆₇	semidirect
894. #546	C₂×D₆₇	semidirect
903. D₄²	C₂×D₆₇	semidirect
904. D₄²	C₂×D₆₇	semidirect
928. #535	C₂×D₆₇	semidirect
935. #534	C₂×D₆₇	semidirect
954. #525	C₂×D₆₇	semidirect
971. C₂×#120	C₂×D₆₇	semidirect
978. #518	C₂×D₆₇	semidirect
1000. C₂×#41	C₂²×D₆₇	semidirect
1027. C₂²×D₄	C₂²×D₆₇	semidirect
1044. #127	C₂²×D₆₇	semidirect
1062. #124	C₂²×D₆₇	semidirect
1086. #123	C₂²×D₆₇	semidirect
1157. #121	C₂²×D₆₇	semidirect
1158. #121	C₂²×D₆₇	semidirect
1159. #121	C₂²×D₆₇	semidirect
1160. #121	C₂²×D₆₇	semidirect
1182. #120	C₂²×D₆₇	semidirect
1217. C₄×D₄	C₂²×D₆₇	semidirect
1218. C₄×D₄	C₂²×D₆₇	semidirect
1572. C₂×C₄	#14524088	semidirect

Maximal subgroups

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

subgroup	index
#22574530	2
#22574511	2
#22574440	2
#22574429	2
#22574389	2
#22574238	2
#22574232	2
#22574036	2
#22573965	2
#22573941	2
#22573934	2
#22573915	2
#22573896	2
#22573876	2
#22573871	2
#22573844	2
#22573838	2
#525×D₆₇	2
C₂²×#14524014	2
C₆₇×#3484	2
#62818	67