Subgroups — #31764396

Order 17152.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22573957	C₂	1	4	yes	maximal, complemented
2	#22573950	C₂	1	4	yes	maximal, complemented
3	#22573940	C₂	1	4	yes	maximal, complemented
4	#22573933	C₂	1	4	yes	maximal, complemented
5	#22573930	C₂	1	1	yes	maximal, characteristic, complemented
6	#22573928	C₂	1	1	yes	maximal, characteristic, complemented
7	#22573922	C₂	1	2	yes	maximal, complemented
8	#22573918	C₂	1	1	yes	maximal, characteristic, complemented
9	#22573915	C₂	1	2	yes	maximal, complemented
10	#22573903	C₂	1	4	yes	maximal, complemented
11	#22573892	C₂	1	4	yes	maximal, complemented
12	#22573775	C₂	1	4	yes	maximal, complemented
13	#22573772	C₂	1	4	yes	maximal, complemented
14	#22573768	C₂	1	4	yes	maximal, complemented
15	#22573762	C₂	1	4	yes	maximal, complemented
16	#22573613	C₂	1	1	yes	maximal, characteristic, complemented
17	#22573595	C₂	1	4	yes	maximal, complemented
18	#22573537	C₂	1	1	yes	maximal, characteristic, complemented
19	#22573501	C₂	1	4	yes	maximal, complemented
20	#525×D₆₇	C₂	1	2	yes	maximal, complemented
21	#22573409	C₂	1	2	yes	maximal, complemented
22	C₂²×#14524001	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#3492	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₆₇	C₂²	1	2	yes	—
25	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
26	#16864120	C₂²	1	4	yes	complemented
27	#16864119	C₂²	1	4	yes	complemented
28	#16864117	C₂²	1	4	yes	complemented
29	#16864114	C₂²	1	4	yes	complemented
30	#16864112	C₂²	1	4	yes	complemented
31	#16864111	C₂²	1	4	yes	complemented
32	#16864110	C₂²	1	4	yes	complemented
33	#16864109	C₂²	1	4	yes	complemented
34	#16864104	C₂²	1	4	yes	complemented
35	#16864103	C₂²	1	4	yes	complemented
36	#16864101	C₂²	1	4	yes	complemented
37	#16864099	C₂²	1	4	yes	complemented
38	#16864098	C₂²	1	4	yes	complemented
39	#16864098	C₂²	1	4	yes	complemented
40	#16864096	C₂²	1	4	yes	complemented
41	#16864094	C₂²	1	4	yes	complemented
42	#16864094	C₂²	1	4	yes	complemented
43	#16864092	C₂²	1	4	yes	complemented
44	#16864088	C₂²	1	4	yes	complemented
45	#16864088	C₂²	1	4	yes	complemented
46	#16864087	C₂²	1	4	yes	complemented
47	#16864086	C₂²	1	4	yes	complemented
48	#16864084	C₂²	1	8	yes	complemented
49	#16864084	C₂²	1	4	yes	complemented
50	#16864082	C₂²	1	8	yes	complemented
51	#16864081	C₂²	1	4	yes	complemented
52	#16864081	C₂²	1	4	yes	complemented
53	#16864080	C₂²	1	8	yes	complemented
54	#16864078	C₂²	1	8	yes	complemented
55	#16864075	C₂²	1	8	yes	complemented
56	#16864074	C₂²	1	8	yes	complemented
57	#16864073	C₂²	1	8	yes	complemented
58	#16864073	C₂²	1	8	yes	complemented
59	#16864071	C₂²	1	8	yes	complemented
60	#16864070	C₂²	1	8	yes	complemented
61	#16864069	C₂²	1	8	yes	complemented
62	#16864069	C₂²	1	8	yes	complemented
63	#16864050	C₂²	1	4	yes	complemented
64	#16864047	C₂²	1	4	yes	complemented
65	#16864046	C₂²	1	4	yes	complemented
66	#16864041	C₂²	1	8	yes	complemented
67	#16864038	C₂²	1	8	yes	complemented
68	#16864035	C₂²	1	8	yes	complemented
69	#16864034	C₂²	1	8	yes	complemented
70	#16864027	C₂²	1	1	yes	characteristic, complemented
71	#16864026	C₂²	1	4	yes	complemented
72	#16864024	C₂²	1	2	yes	complemented
73	#16864023	C₂²	1	4	yes	complemented
74	#16864021	C₂²	1	4	yes	—
75	#16864016	C₂²	1	8	yes	complemented
76	#16864012	C₂²	1	8	yes	complemented
77	#16864005	C₂²	1	8	yes	complemented
78	#16863998	C₂²	1	8	yes	complemented
79	#16863993	C₂²	1	4	yes	complemented
80	#16863990	C₂²	1	8	yes	complemented
81	#16863986	C₂²	1	4	yes	complemented
82	#16863983	C₂²	1	4	yes	complemented
83	#16863979	C₂²	1	8	yes	complemented
84	#16863977	C₂²	1	1	yes	characteristic, complemented
85	#16863974	C₂²	1	2	yes	complemented
86	#16863969	C₂²	1	4	yes	complemented
87	#16863962	C₂²	1	4	yes	complemented
88	#16863954	C₂²	1	4	yes	—
89	#16863952	C₂²	1	4	yes	complemented
90	#16863951	C₂²	1	4	yes	complemented
91	#16863949	C₂²	1	4	yes	complemented
92	#16863948	C₂²	1	4	yes	complemented
93	#16863948	C₂²	1	4	yes	complemented
94	#16863942	C₂²	1	4	yes	complemented
95	#16863941	C₂²	1	4	yes	complemented
96	#16863941	C₂²	1	4	yes	complemented
97	#16863932	C₂²	1	4	yes	complemented
98	#16863932	C₂²	1	4	yes	complemented
99	#16863932	C₂²	1	8	yes	complemented
100	#16863931	C₂²	1	8	yes	complemented
101	#16863929	C₂²	1	8	yes	complemented
102	#16863927	C₂²	1	4	yes	complemented
103	#16863927	C₂²	1	4	yes	complemented
104	#16863926	C₂²	1	8	yes	complemented
105	#16863926	C₂²	1	8	yes	complemented
106	#16863923	C₂²	1	8	yes	complemented
107	#16863923	C₂²	1	8	yes	complemented
108	#16863923	C₂²	1	8	yes	complemented
109	#16863909	C₂²	1	2	yes	—
110	#16863909	C₂²	1	2	yes	—
111	#16863909	C₂²	1	4	yes	complemented
112	#16863908	C₂²	1	2	yes	complemented
113	#16863907	C₂²	1	4	yes	complemented
114	#16863907	C₂²	1	2	yes	complemented
115	#16863906	C₂²	1	2	yes	—
116	#16863906	C₂²	1	2	yes	—
117	#16863906	C₂²	1	4	yes	complemented
118	#16863905	C₂²	1	4	yes	—
119	#16863905	C₂²	1	4	yes	—
120	#16863904	C₂²	1	4	yes	complemented
121	#16863903	C₂²	1	2	yes	complemented
122	#16863902	C₂²	1	8	yes	complemented
123	#16863902	C₂²	1	4	yes	complemented
124	#123×D₆₇	C₂²	1	4	yes	—
125	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
126	C₂²⋊Q₈×D₆₇	C₂²	1	2	yes	complemented
127	#121×D₆₇	C₂²	1	2	yes	complemented
128	#121×D₆₇	C₂²	1	2	yes	complemented
129	#120×D₆₇	C₂²	1	4	yes	—
130	#16863879	C₂²	1	2	yes	complemented
131	#16863877	C₂²	1	2	yes	complemented
132	#16863877	C₂²	1	4	yes	complemented
133	#16863876	C₂²	1	2	yes	complemented
134	#16863876	C₂²	1	4	yes	complemented
135	#16863872	C₂²	1	4	yes	complemented
136	#16863868	C₂²	1	8	yes	—
137	#16863868	C₂²	1	4	yes	complemented
138	#41×Dic₆₇	C₂²	1	4	yes	complemented
139	C₄×#11761629	C₂²	1	4	yes	complemented
140	#16863864	C₂²	1	4	yes	complemented
141	C₄×#11761627	C₂²	1	8	yes	complemented
142	C₄×#11761627	C₂²	1	8	yes	complemented
143	C₄×#11761627	C₂²	1	4	yes	complemented
144	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
145	C₄×D₄×D₆₇	C₂²	1	4	yes	complemented
146	C₂×#14524001	C₂²	1	1	yes	characteristic
147	C₂×#14524001	C₂²	1	2	yes	—
148	C₂×#14524001	C₂²	1	1	yes	characteristic
149	C₂×#14524001	C₂²	1	2	yes	complemented
150	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
151	C₂×#14524001	C₂²	1	1	yes	characteristic, complemented
152	C₂×#14524001	C₂²	1	4	yes	complemented
153	C₂×#14524001	C₂²	1	4	yes	complemented
154	C₂×#14524001	C₂²	1	4	yes	complemented
155	C₂×#14524001	C₂²	1	4	yes	complemented
156	C₂×#14524001	C₂²	1	4	yes	complemented
157	#117×D₆₇	C₂²	1	2	yes	—
158	#117×D₆₇	C₂²	1	4	yes	complemented
159	C₂²×C₄⋊Dic₆₇	C₂²	1	1	yes	characteristic, complemented
160	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	—
161	C₂²×C₄×Dic₆₇	C₂²	1	2	yes	complemented
162	#554×C₆₇	C₂²	1	4	yes	complemented
163	#553×C₆₇	C₂²	1	4	yes	complemented
164	#552×C₆₇	C₂²	1	4	yes	complemented
165	#547×C₆₇	C₂²	1	4	yes	complemented
166	#544×C₆₇	C₂²	1	1	yes	characteristic, complemented
167	#539×C₆₇	C₂²	1	4	yes	complemented
168	#537×C₆₇	C₂²	1	1	yes	characteristic, complemented
169	#525×C₆₇	C₂²	1	4	yes	complemented
170	#525×C₆₇	C₂²	1	2	yes	complemented
171	#520×C₆₇	C₂²	1	2	yes	complemented
172	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
174	C₂×#11761629	C₂³	1	2	yes	—
175	C₂×#11761628	C₂³	1	4	yes	—
176	C₂×#11761628	C₂³	1	2	yes	—
177	C₂×#11761628	C₂³	1	4	yes	—
178	C₂×#11761627	C₂³	1	4	yes	—
179	C₂×#11761627	C₂³	1	2	yes	—
180	C₂×#11761627	C₂³	1	8	yes	—
181	#41×D₆₇	—	2	16	no	—
182	C₂×Q₈×D₆₇	C₂³	1	2	yes	—
183	C₂×D₄×D₆₇	C₂³	1	4	yes	—
184	C₂×D₄×D₆₇	C₂³	1	2	yes	—
185	C₂×D₄×D₆₇	C₂³	1	4	yes	—
186	C₂×D₄×D₆₇	C₂³	1	4	yes	—
187	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
188	C₂³×Dic₆₇	C₂³	1	2	yes	—
189	C₂²×C₄×D₆₇	—	2	8	no	—
190	C₂²×C₄×D₆₇	C₂³	1	4	yes	—
191	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
193	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
194	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
195	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
196	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
199	#14524043	C₂³	1	4	yes	complemented
200	#14524042	C₂³	1	4	yes	complemented
201	#14524042	C₂³	1	4	yes	complemented
202	#14524042	C₂³	1	4	yes	complemented
203	#14524042	C₂³	1	4	yes	complemented
204	#14524041	C₂³	1	4	yes	complemented
205	#14524039	C₂³	1	4	yes	complemented
206	#14524038	C₂³	1	8	yes	—
207	#14524038	C₂³	1	8	yes	—
208	#14524038	C₂³	1	8	yes	—
209	#14524038	C₂³	1	8	yes	complemented
210	#14524038	C₂³	1	8	yes	complemented
211	#14524038	C₂³	1	8	yes	complemented
212	#14524038	C₂³	1	8	yes	complemented
213	#14524037	C₂³	1	8	yes	—
214	#14524036	C₂³	1	8	yes	complemented
215	#14524036	C₂³	1	8	yes	complemented
216	#14524036	C₂³	1	8	yes	complemented
217	#14524035	C₂³	1	4	yes	complemented
218	#14524034	C₂³	1	8	yes	complemented
219	#14524034	C₂³	1	4	yes	complemented
220	#14524034	C₂³	1	4	yes	complemented
221	#14524034	C₂³	1	4	yes	complemented
222	#14524034	C₂³	1	4	yes	complemented
223	#14524033	C₂³	1	8	yes	complemented
224	#14524033	C₂³	1	8	yes	complemented
225	#14524033	C₂³	1	8	yes	complemented
226	#14524033	C₂³	1	8	yes	complemented
227	#14524032	C₂³	1	8	yes	—
228	#14524032	C₂³	1	4	yes	complemented
229	#14524031	C₂³	1	8	yes	—
230	#14524030	C₂³	1	4	yes	complemented
231	#14524029	C₂³	1	8	yes	—
232	#14524029	C₂³	1	8	yes	—
233	#14524029	C₂³	1	8	yes	complemented
234	#14524029	C₂³	1	8	yes	complemented
235	#14524028	C₂³	1	8	yes	—
236	#14524028	C₂³	1	8	yes	—
237	#14524028	C₂³	1	8	yes	—
238	#14524028	C₂³	1	4	yes	—
239	#14524028	C₂³	1	4	yes	—
240	#14524028	C₂³	1	8	yes	complemented
241	#14524027	C₂³	1	8	yes	—
242	#14524027	C₂³	1	8	yes	—
243	#14524027	C₂³	1	4	yes	—
244	#14524027	C₂³	1	8	yes	complemented
245	#14524026	C₂³	1	8	yes	—
246	#14524026	C₂³	1	8	yes	—
247	#14524026	C₂³	1	4	yes	—
248	#14524025	C₂³	1	4	yes	—
249	#14524025	C₂³	1	8	yes	—
250	#14524025	C₂³	1	4	yes	—
251	#14524025	C₂³	1	8	yes	complemented
252	#14524024	C₂³	1	8	yes	—
253	#14524024	C₂³	1	4	yes	—
254	#14524023	C₂³	1	8	yes	—
255	#14524023	C₂³	1	2	yes	—
256	#14524023	C₂³	1	2	yes	—
257	#14524023	C₂³	1	8	yes	complemented
258	#14524023	C₂³	1	4	yes	complemented
259	#14524022	C₂³	1	4	yes	—
260	#14524022	C₂³	1	4	yes	—
261	#14524022	C₂³	1	2	yes	—
262	#14524022	C₂³	1	2	yes	—
263	#14524022	C₂³	1	4	yes	complemented
264	#14524021	C₂³	1	4	yes	—
265	#14524021	C₂³	1	4	yes	—
266	#14524021	C₂³	1	8	yes	—
267	#14524021	C₂³	1	8	yes	—
268	#14524021	C₂³	1	8	yes	complemented
269	#14524020	C₂³	1	8	yes	—
270	#14524020	C₂³	1	8	yes	—
271	#14524020	C₂³	1	4	yes	—
272	#14524020	C₂³	1	4	yes	—
273	#14524020	C₂³	1	8	yes	complemented
274	#14524019	C₂³	1	8	yes	—
275	#14524019	C₂³	1	2	yes	—
276	#14524019	C₂³	1	2	yes	—
277	#14524019	C₂³	1	4	yes	complemented
278	#14524018	C₂³	1	8	yes	—
279	#14524018	C₂³	1	2	yes	—
280	#14524018	C₂³	1	2	yes	—
281	#14524018	C₂³	1	4	yes	complemented
282	#14524017	C₂³	1	8	yes	—
283	#14524017	C₂³	1	4	yes	—
284	#14524017	C₂³	1	2	yes	—
285	#14524017	C₂³	1	2	yes	—
286	#14524017	C₂³	1	4	yes	—
287	#14524017	C₂³	1	4	yes	complemented
288	#14524016	C₂³	1	4	yes	—
289	#14524016	C₂³	1	4	yes	—
290	#14524016	C₂³	1	8	yes	—
291	#14524015	C₂³	1	8	yes	—
292	#14524015	C₂³	1	8	yes	—
293	#14524015	C₂³	1	4	yes	—
294	#14524015	C₂³	1	4	yes	—
295	#14524015	C₂³	1	8	yes	—
296	#14524014	C₂³	1	2	yes	—
297	#14524014	C₂³	1	2	yes	—
298	#14524014	C₂³	1	4	yes	complemented
299	#14524013	C₂³	1	4	yes	—
300	#14524013	C₂³	1	8	yes	—
301	#14524013	C₂³	1	4	yes	—
302	#14524013	C₂³	1	4	yes	—
303	#14524012	C₂³	1	4	yes	—
304	#14524011	C₂³	1	4	yes	—
305	#14524011	C₂³	1	8	yes	—
306	#14524011	C₂³	1	4	yes	—
307	#14524011	C₂³	1	4	yes	—
308	Q₈×Dic₆₇	C₂³	1	4	yes	complemented
309	Q₈×Dic₆₇	C₂³	1	4	yes	complemented
310	Q₈×Dic₆₇	C₂³	1	4	yes	complemented
311	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
312	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
313	C₄×Dic₁₃₄	C₂³	1	4	yes	complemented
314	#14524008	C₂³	1	8	yes	complemented
315	#14524008	C₂³	1	4	yes	complemented
316	#14524008	C₂³	1	4	yes	complemented
317	#14524008	C₂³	1	8	yes	complemented
318	#14524008	C₂³	1	4	yes	complemented
319	C₄×D₂₆₈	C₂³	1	8	yes	—
320	C₄×D₂₆₈	C₂³	1	4	yes	—
321	C₄×D₂₆₈	C₂³	1	4	yes	—
322	C₄×D₂₆₈	C₂³	1	4	yes	complemented
323	D₄×Dic₆₇	C₂³	1	8	yes	—
324	D₄×Dic₆₇	C₂³	1	4	yes	—
325	D₄×Dic₆₇	C₂³	1	4	yes	—
326	D₄×Dic₆₇	C₂³	1	8	yes	—
327	D₄×Dic₆₇	C₂³	1	4	yes	complemented
328	D₄×Dic₆₇	C₂³	1	4	yes	complemented
329	D₄×Dic₆₇	C₂³	1	4	yes	complemented
330	#14524005	C₂³	1	8	yes	—
331	#14524005	C₂³	1	4	yes	—
332	#14524005	C₂³	1	4	yes	—
333	#14524005	C₂³	1	4	yes	complemented
334	#14524005	C₂³	1	4	yes	complemented
335	#14524005	C₂³	1	4	yes	complemented
336	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
337	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
338	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
339	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
340	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
341	C₄×C₂²⋊D₆₇	C₂³	1	4	yes	—
342	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
343	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
344	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
345	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
346	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
347	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
348	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
349	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
350	(C₂²⋊D₆₇)⋊C₄	C₂³	1	4	yes	—
351	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	—
352	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
353	(C₂²⋊D₆₇)⋊C₄	C₂³	1	8	yes	complemented
354	#14524002	C₂³	1	2	yes	—
355	#14524002	C₂³	1	4	yes	—
356	#14524002	C₂³	1	8	yes	complemented
357	#14524002	C₂³	1	4	yes	complemented
358	#14524001	C₂³	1	8	yes	—
359	#14524001	C₂³	1	4	yes	—
360	#14524001	C₂³	1	8	yes	—
361	#14524001	C₂³	1	8	yes	—
362	#14524001	C₂³	1	8	yes	—
363	#14524001	C₂³	1	4	yes	—
364	#14524001	C₂³	1	4	yes	—
365	#14524001	C₂³	1	4	yes	—
366	#14524001	C₂³	1	4	yes	—
367	#14524001	C₂³	1	2	yes	—
368	#14524001	C₂³	1	2	yes	—
369	#14524001	C₂³	1	4	yes	—
370	#14524001	C₂³	1	4	yes	—
371	#14524001	C₂³	1	4	yes	—
372	#14524001	C₂³	1	8	yes	—
373	#14524001	C₂³	1	8	yes	complemented
374	#14524001	C₂³	1	4	yes	complemented
375	#14524001	C₂³	1	4	yes	complemented
376	#14524001	C₂³	1	8	yes	complemented
377	#14524000	C₂³	1	4	yes	—
378	#14524000	C₂³	1	8	yes	—
379	#14524000	C₂³	1	8	yes	complemented
380	#14523999	C₂³	1	8	yes	—
381	#14523999	C₂³	1	4	yes	—
382	#14523999	C₂³	1	8	yes	complemented
383	#14523999	C₂³	1	8	yes	complemented
384	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	—
386	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	—
387	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
389	C₂×C₄⋊Dic₆₇	C₂³	1	4	yes	complemented
390	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
391	C₄⋊C₄×D₆₇	C₂³	1	2	yes	—
392	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
393	C₄⋊C₄×D₆₇	C₂³	1	4	yes	—
394	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
395	C₄⋊C₄×D₆₇	C₂³	1	4	yes	complemented
396	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
397	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
398	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
399	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
400	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
401	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
402	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
403	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
404	C₂²⋊C₄×D₆₇	C₂³	1	8	yes	—
405	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
406	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
407	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
408	C₂²⋊C₄×D₆₇	C₂³	1	4	yes	—
409	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
410	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
411	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
412	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
413	C₂×C₄×Dic₆₇	C₂³	1	4	yes	—
414	C₂×C₄×Dic₆₇	C₂³	1	4	yes	—
415	C₂×C₄×Dic₆₇	C₂³	1	4	yes	—
416	C₂×C₄×Dic₆₇	C₂³	1	4	yes	—
417	C₂×C₄×Dic₆₇	C₂³	1	8	yes	complemented
418	C₄²×D₆₇	C₂³	1	4	yes	—
419	C₄²×D₆₇	C₂³	1	8	yes	complemented
420	C₂×#41×C₆₇	C₂³	1	2	yes	—
421	C₂×#41×C₆₇	C₂³	1	4	yes	—
422	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
423	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
424	C₄⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
425	#126×C₆₇	C₂³	1	8	yes	complemented
426	#125×C₆₇	C₂³	1	8	yes	complemented
427	#125×C₆₇	C₂³	1	4	yes	complemented
428	#123×C₆₇	C₂³	1	8	yes	—
429	#123×C₆₇	C₂³	1	4	yes	—
430	#123×C₆₇	C₂³	1	8	yes	complemented
431	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
432	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	—
433	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
434	C₂²⋊Q₈×C₆₇	C₂³	1	2	yes	—
435	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
436	C₂²⋊Q₈×C₆₇	C₂³	1	4	yes	complemented
437	#121×C₆₇	C₂³	1	4	yes	—
438	#121×C₆₇	C₂³	1	2	yes	—
439	#121×C₆₇	C₂³	1	4	yes	—
440	#121×C₆₇	C₂³	1	2	yes	—
441	#121×C₆₇	C₂³	1	4	yes	complemented
442	#120×C₆₇	C₂³	1	4	yes	—
443	C₄×Q₈×C₆₇	C₂³	1	4	yes	complemented
444	C₄×D₄×C₆₇	C₂³	1	8	yes	—
445	C₄×D₄×C₆₇	C₂³	1	4	yes	—
446	C₄×D₄×C₆₇	C₂³	1	8	yes	—
447	C₄×D₄×C₆₇	C₂³	1	4	yes	—
448	C₄×D₄×C₆₇	C₂³	1	4	yes	complemented
449	#117×C₆₇	C₂³	1	2	yes	—
450	#117×C₆₇	C₂³	1	4	yes	—
451	#117×C₆₇	C₂³	1	4	yes	complemented
452	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
453	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
454	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic
455	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
456	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	—
457	C₂×C₄⋊C₄×C₆₇	C₂³	1	4	yes	complemented
458	C₂³×D₆₇	—	2	4	no	—
459	C₂³×D₆₇	—	4	2	no	—
460	C₂³×D₆₇	—	4	2	no	—
461	C₂³×D₆₇	C₂⁴	1	2	yes	—
462	C₂³×D₆₇	C₂⁴	1	2	yes	—
463	C₂³×D₆₇	C₂⁴	1	4	yes	—
464	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
465	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
466	#11761629	—	2	8	no	—
467	#11761628	—	2	8	no	—
468	#11761628	—	2	16	no	—
469	#11761628	—	4	8	no	—
470	#11761627	—	2	16	no	—
471	#11761627	—	2	8	no	—
472	#11761627	—	4	16	no	—
473	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
474	C₂×Dic₁₃₄	C₂⁴	1	2	yes	—
475	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
476	C₂×Dic₁₃₄	C₂⁴	1	8	yes	—
477	Q₈×D₆₇	—	2	8	no	—
478	C₂×D₂₆₈	C₂⁴	1	4	yes	—
479	C₂×D₂₆₈	C₂⁴	1	2	yes	—
480	C₂×D₂₆₈	C₂⁴	1	4	yes	—
481	C₂×D₂₆₈	C₂⁴	1	4	yes	—
482	C₂×D₂₆₈	C₂⁴	1	4	yes	—
483	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
484	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
485	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
486	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
487	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
488	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
489	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
490	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
491	D₄×D₆₇	—	2	16	no	—
492	D₄×D₆₇	—	2	8	no	—
493	D₄×D₆₇	—	4	8	no	—
494	D₄×D₆₇	—	4	8	no	—
495	C₂²×Dic₆₇	—	2	4	no	—
496	C₂²×Dic₆₇	—	4	4	no	—
497	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
498	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
499	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
500	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
501	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
502	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
503	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
504	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
505	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
506	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
507	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
508	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
509	C₂×C₄×D₆₇	—	2	4	no	—
510	C₂×C₄×D₆₇	—	2	4	no	—
511	C₂×C₄×D₆₇	—	2	4	no	—
512	C₂×C₄×D₆₇	—	2	8	no	—
513	C₂×C₄×D₆₇	—	2	8	no	—
514	C₂×C₄×D₆₇	—	2	8	no	—
515	C₂×C₄×D₆₇	—	2	8	no	—
516	C₂×C₄×D₆₇	—	2	16	no	—
517	C₂×C₄×D₆₇	#41	1	8	yes	complemented
518	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
519	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
520	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
521	C₂×C₄×D₆₇	C₂⁴	1	2	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	2	yes	—
526	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
527	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
528	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
529	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
530	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
531	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
532	C₂×C₄×D₆₇	C₂⁴	1	2	yes	—
533	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
534	C₄⋊Dic₆₇	C₂⁴	1	2	yes	—
535	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
536	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
537	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
538	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
539	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
540	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
541	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
542	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
543	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
544	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
545	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
546	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
547	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
548	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
549	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
550	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
551	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
552	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
553	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
554	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
555	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
556	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
557	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
558	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
559	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
560	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
561	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
562	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
563	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
564	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	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	4	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	4	yes	—
574	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
575	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
576	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
577	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
578	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
579	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
580	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
581	C₄×Dic₆₇	C₂⁴	1	4	yes	—
582	C₄×Dic₆₇	C₂⁴	1	4	yes	—
583	C₄×Dic₆₇	C₂⁴	1	4	yes	—
584	C₄×Dic₆₇	C₂⁴	1	4	yes	—
585	C₄×Dic₆₇	C₂⁴	1	8	yes	—
586	C₄×Dic₆₇	C₂⁴	1	4	yes	—
587	C₄×Dic₆₇	C₂⁴	1	4	yes	—
588	C₄×Dic₆₇	C₂⁴	1	4	yes	—
589	C₄×Dic₆₇	C₂⁴	1	4	yes	—
590	C₄×Dic₆₇	C₂⁴	1	4	yes	—
591	C₄×Dic₆₇	C₂⁴	1	4	yes	—
592	C₄×Dic₆₇	C₂⁴	1	4	yes	—
593	C₄×Dic₆₇	C₂⁴	1	8	yes	—
594	C₄×Dic₆₇	C₂⁴	1	8	yes	—
595	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
596	#41×C₆₇	—	2	8	no	—
597	#41×C₆₇	—	4	8	no	—
598	C₂×Q₈×C₆₇	C₂⁴	1	2	yes	—
599	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
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	2	yes	—
604	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
605	C₂²×C₄×C₆₇	—	2	4	no	—
606	C₂²×C₄×C₆₇	—	4	4	no	—
607	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
608	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
609	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
610	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
612	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
613	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
614	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
615	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
616	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
617	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
618	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
619	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
620	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
621	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
622	C₄⋊C₄×C₆₇	C₂⁴	1	2	yes	—
623	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
624	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
625	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
626	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	—
627	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	—
628	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
629	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
630	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
631	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
632	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
633	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
634	C₂²⋊C₄×C₆₇	C₂⁴	1	4	yes	—
635	C₄²×C₆₇	C₂⁴	1	8	yes	—
636	C₄²×C₆₇	C₂⁴	1	4	yes	—
637	C₂³×C₆₇	—	2	2	no	—
638	C₂³×C₆₇	—	2	2	no	—
639	C₂³×C₆₇	—	2	2	no	—
640	C₂³×C₆₇	C₂⁵	1	4	yes	—
641	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
642	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
643	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
644	C₂²×D₆₇	—	2	2	no	—
645	C₂²×D₆₇	—	2	4	no	—
646	C₂²×D₆₇	—	2	4	no	—
647	C₂²×D₆₇	—	2	4	no	—
648	C₂²×D₆₇	—	2	4	no	—
649	C₂²×D₆₇	—	2	8	no	—
650	C₂²×D₆₇	—	4	1	no	—
651	C₂²×D₆₇	—	4	1	no	—
652	C₂²×D₆₇	—	4	2	no	—
653	C₂²×D₆₇	—	4	2	no	—
654	C₂²×D₆₇	—	4	1	no	—
655	C₂²×D₆₇	—	4	1	no	—
656	C₂²×D₆₇	—	4	4	no	—
657	C₂²×D₆₇	—	4	4	no	—
658	C₂²×D₆₇	—	4	16	no	—
659	C₂²×D₆₇	C₂×#41	1	4	yes	—
660	C₂²×D₆₇	C₂⁵	1	2	yes	—
661	C₂²×D₆₇	C₂⁵	1	4	yes	—
662	C₂²×D₆₇	C₂⁵	1	2	yes	—
663	Q₈×C₆₇	—	2	4	no	—
664	Q₈×C₆₇	—	4	4	no	—
665	D₄×C₆₇	—	2	8	no	—
666	D₄×C₆₇	—	2	8	no	—
667	D₄×C₆₇	—	2	8	no	—
668	D₄×C₆₇	—	2	4	no	—
669	D₄×C₆₇	—	4	4	no	—
670	C₂×C₄×C₆₇	—	2	2	no	—
671	C₂×C₄×C₆₇	—	2	8	no	—
672	C₂×C₄×C₆₇	—	2	4	no	—
673	C₂×C₄×C₆₇	—	2	4	no	—
674	C₂×C₄×C₆₇	—	2	8	no	—
675	C₂×C₄×C₆₇	—	4	2	no	—
676	C₂×C₄×C₆₇	—	4	4	no	—
677	C₂×C₄×C₆₇	—	4	2	no	—
678	C₂×C₄×C₆₇	—	4	8	no	—
679	C₂×C₄×C₆₇	C₂×#41	1	4	yes	—
680	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
681	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
682	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
683	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
684	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
685	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
686	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
687	C₂²⋊D₆₇	—	2	8	no	—
688	C₂²⋊D₆₇	—	2	8	no	—
689	C₂²⋊D₆₇	—	2	8	no	—
690	C₂²⋊D₆₇	—	2	8	no	—
691	C₂²⋊D₆₇	—	2	8	no	—
692	C₂²⋊D₆₇	—	4	4	no	—
693	C₂²⋊D₆₇	—	4	4	no	—
694	C₂²⋊D₆₇	—	4	8	no	—
695	C₂×Dic₆₇	—	2	2	no	—
696	C₂×Dic₆₇	—	2	8	no	—
697	C₂×Dic₆₇	—	2	2	no	—
698	C₂×Dic₆₇	—	2	2	no	—
699	C₂×Dic₆₇	—	2	2	no	—
700	C₂×Dic₆₇	—	2	2	no	—
701	C₂×Dic₆₇	—	2	8	no	—
702	C₂×Dic₆₇	—	4	2	no	—
703	C₂×Dic₆₇	—	4	4	no	—
704	C₂×Dic₆₇	—	4	2	no	—
705	C₂×Dic₆₇	—	4	8	no	—
706	C₂×Dic₆₇	C₂×#41	1	4	yes	—
707	C₂×Dic₆₇	C₂⁵	1	4	yes	—
708	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
709	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
710	C₂×Dic₆₇	C₂⁵	1	4	yes	—
711	C₂×Dic₆₇	C₂⁵	1	4	yes	—
712	C₂×Dic₆₇	C₂⁵	1	4	yes	—
713	C₂×Dic₆₇	C₂⁵	1	4	yes	—
714	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
715	C₂×Dic₆₇	C₂⁵	1	1	yes	characteristic
716	D₂₆₈	—	2	8	no	—
717	D₂₆₈	—	2	4	no	—
718	D₂₆₈	—	4	4	no	—
719	D₂₆₈	—	4	4	no	—
720	D₂₆₈	—	4	4	no	—
721	C₄×D₆₇	—	2	4	no	—
722	C₄×D₆₇	—	2	4	no	—
723	C₄×D₆₇	—	2	8	no	—
724	C₄×D₆₇	—	2	4	no	—
725	C₄×D₆₇	—	2	4	no	—
726	C₄×D₆₇	—	2	8	no	—
727	C₄×D₆₇	—	2	4	no	—
728	C₄×D₆₇	—	2	4	no	—
729	C₄×D₆₇	—	2	8	no	—
730	C₄×D₆₇	—	4	4	no	—
731	C₄×D₆₇	—	4	4	no	—
732	C₄×D₆₇	—	4	8	no	—
733	C₄×D₆₇	—	4	8	no	—
734	C₄×D₆₇	C₂×#41	1	8	yes	—
735	C₄×D₆₇	C₂×#41	1	8	yes	—
736	Dic₁₃₄	—	2	4	no	—
737	Dic₁₃₄	—	2	8	no	—
738	Dic₁₃₄	—	4	8	no	—
739	Dic₁₃₄	—	4	4	no	—
740	C₂²×C₆₇	—	2	8	no	—
741	C₂²×C₆₇	—	2	1	no	—
742	C₂²×C₆₇	—	2	1	no	—
743	C₂²×C₆₇	—	2	1	no	—
744	C₂²×C₆₇	—	2	1	no	—
745	C₂²×C₆₇	—	2	1	no	—
746	C₂²×C₆₇	—	2	1	no	—
747	C₂²×C₆₇	—	2	4	no	—
748	C₂²×C₆₇	—	2	4	no	—
749	C₂²×C₆₇	—	2	4	no	—
750	C₂²×C₆₇	C₂²×#41	1	2	yes	—
751	C₂²×C₆₇	#585	1	2	yes	—
752	C₂²×C₆₇	#585	1	2	yes	—
753	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
754	C₂×D₆₇	—	2	2	no	—
755	C₂×D₆₇	—	2	2	no	—
756	C₂×D₆₇	—	2	2	no	—
757	C₂×D₆₇	—	2	4	no	—
758	C₂×D₆₇	—	2	4	no	—
759	C₂×D₆₇	—	2	4	no	—
760	C₂×D₆₇	—	2	2	no	—
761	C₂×D₆₇	—	2	2	no	—
762	C₂×D₆₇	—	4	4	no	—
763	C₂×D₆₇	—	4	8	no	—
764	C₂×D₆₇	—	4	8	no	—
765	C₂×D₆₇	—	4	4	no	—
766	C₂×D₆₇	—	8	8	no	—
767	C₂×D₆₇	C₂²×#41	1	4	yes	—
768	C₄×C₆₇	—	2	4	no	—
769	C₄×C₆₇	—	2	2	no	—
770	C₄×C₆₇	—	2	4	no	—
771	C₄×C₆₇	—	2	4	no	—
772	C₄×C₆₇	—	2	4	no	—
773	C₄×C₆₇	—	2	4	no	—
774	C₄×C₆₇	C₂²×#41	1	4	yes	—
775	Dic₆₇	—	2	4	no	—
776	Dic₆₇	—	2	1	no	—
777	Dic₆₇	—	2	1	no	—
778	Dic₆₇	—	2	4	no	—
779	Dic₆₇	—	2	4	no	—
780	Dic₆₇	—	2	4	no	—
781	Dic₆₇	—	2	4	no	—
782	Dic₆₇	C₂²×#41	1	2	yes	—
783	Dic₆₇	C₂²×#41	1	2	yes	—
784	#62814	—	67	1	no	maximal, Sylow
785	C₂×C₆₇	—	2	2	no	—
786	C₂×C₆₇	—	2	2	no	—
787	C₂×C₆₇	—	2	2	no	—
788	C₂×C₆₇	—	4	4	no	—
789	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
790	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
791	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
792	D₆₇	—	2	4	no	—
793	D₆₇	—	4	2	no	—
794	D₆₇	—	4	4	no	—
795	#3495	—	67	4	no	—
796	#3495	—	67	4	no	—
797	#3494	—	67	4	no	—
798	#3494	—	67	4	no	—
799	#3493	—	67	1	no	—
800	#3493	—	67	1	no	—
801	#3493	—	67	2	no	—
802	#3492	—	67	2	no	—
803	#3492	—	67	1	no	—
804	#3492	D₆₇	1	1	yes	characteristic, complemented
805	#3491	—	67	4	no	—
806	#3490	—	67	4	no	—
807	#3475	—	67	4	no	—
808	#3475	—	67	4	no	—
809	#3475	—	67	4	no	—
810	#3475	—	67	4	no	—
811	#3458	—	67	1	no	—
812	#3455	—	67	4	no	—
813	#3449	—	67	1	no	—
814	#3444	—	67	4	no	—
815	C₂×#525	—	67	2	no	—
816	#3428	—	67	2	no	—
817	C₂²×#117	—	67	1	no	—
818	C₆₇	#62814	1	1	yes	characteristic, complemented, Sylow
819	C₂²×#41	—	67	2	no	—
820	C₂⁴×C₄	—	67	1	no	—
821	#556	—	67	4	no	—
822	#556	—	67	4	no	—
823	#556	—	67	4	no	—
824	#556	—	67	4	no	—
825	#555	—	67	4	no	—
826	#555	—	67	4	no	—
827	#555	—	67	4	no	—
828	#555	—	67	4	no	—
829	#554	—	67	4	no	—
830	#554	—	67	4	no	—
831	#554	—	67	4	no	—
832	#554	C₂×D₆₇	1	4	yes	complemented
833	#553	—	67	4	no	—
834	#553	—	67	4	no	—
835	#553	—	67	4	no	—
836	#553	—	67	4	no	—
837	#553	—	67	4	no	—
838	#553	—	67	4	no	—
839	#553	—	67	4	no	—
840	#553	C₂×D₆₇	1	4	yes	complemented
841	#552	—	67	8	no	—
842	#552	—	67	8	no	—
843	#552	—	67	8	no	—
844	#552	—	67	4	no	—
845	#552	—	67	4	no	—
846	#552	—	67	8	no	—
847	#552	—	67	4	no	—
848	#552	—	67	4	no	—
849	#552	—	67	4	no	—
850	#552	—	67	4	no	—
851	#552	—	67	4	no	—
852	#552	C₂×D₆₇	1	4	yes	complemented
853	#551	—	67	8	no	—
854	#551	—	67	8	no	—
855	#551	—	67	8	no	—
856	#551	—	67	8	no	—
857	#551	—	67	8	no	—
858	#551	—	67	8	no	—
859	#551	—	67	8	no	—
860	#551	—	67	8	no	—
861	#547	—	67	4	no	—
862	#547	—	67	4	no	—
863	#547	—	67	4	no	—
864	#547	C₂×D₆₇	1	4	yes	complemented
865	#546	—	67	8	no	—
866	#546	—	67	8	no	—
867	#546	—	67	8	no	—
868	#546	—	67	8	no	—
869	#544	—	67	4	no	—
870	#544	—	67	4	no	—
871	#544	—	67	2	no	—
872	#544	—	67	1	no	—
873	#544	C₂×D₆₇	1	1	yes	characteristic, complemented
874	#543	—	67	4	no	—
875	#542	—	67	8	no	—
876	#542	—	67	8	no	—
877	#541	—	67	8	no	—
878	#540	—	67	8	no	—
879	#539	—	67	8	no	—
880	#539	—	67	4	no	—
881	#539	C₂×D₆₇	1	4	yes	complemented
882	#538	—	67	4	no	—
883	#538	—	67	4	no	—
884	#538	—	67	8	no	—
885	#537	—	67	2	no	—
886	#537	—	67	1	no	—
887	#537	C₂×D₆₇	1	1	yes	characteristic, complemented
888	#536	—	67	4	no	—
889	#535	—	67	4	no	—
890	#534	—	67	4	no	—
891	#533	—	67	4	no	—
892	#533	—	67	4	no	—
893	#533	—	67	4	no	—
894	#533	—	67	4	no	—
895	#533	—	67	4	no	—
896	#532	—	67	4	no	—
897	#532	—	67	4	no	—
898	#532	—	67	4	no	—
899	#529	—	67	8	no	—
900	#529	—	67	8	no	—
901	#529	—	67	8	no	—
902	#529	—	67	8	no	—
903	#529	—	67	8	no	—
904	#529	—	67	4	no	—
905	#529	—	67	4	no	—
906	#529	—	67	8	no	—
907	#529	—	67	4	no	—
908	#529	—	67	4	no	—
909	#529	—	67	8	no	—
910	#529	—	67	8	no	—
911	#525	—	67	2	no	—
912	#525	—	67	2	no	—
913	#525	—	67	4	no	—
914	#525	—	67	4	no	—
915	#525	—	67	2	no	—
916	#525	—	67	2	no	—
917	#525	—	67	4	no	—
918	#525	—	67	2	no	—
919	#525	—	67	2	no	—
920	#525	—	67	4	no	—
921	#525	—	67	4	no	—
922	#525	—	67	8	no	—
923	#525	—	67	4	no	—
924	#525	—	67	4	no	—
925	#525	—	67	2	no	—
926	#525	C₂×D₆₇	1	2	yes	complemented
927	#525	C₂×D₆₇	1	4	yes	complemented
928	C₂×#123	—	67	4	no	—
929	C₂×C₂²⋊Q₈	—	67	2	no	—
930	C₂×C₂²⋊Q₈	—	67	2	no	—
931	C₂×#121	—	67	2	no	—
932	C₂×#121	—	67	2	no	—
933	C₂×#120	—	67	4	no	—
934	#520	—	67	2	no	—
935	#520	—	67	2	no	—
936	#520	—	67	4	no	—
937	#520	—	67	2	no	—
938	#520	—	67	4	no	—
939	#520	C₂×D₆₇	1	2	yes	complemented
940	#519	—	67	4	no	—
941	#518	—	67	8	no	—
942	#518	—	67	4	no	—
943	C₄×#41	—	67	4	no	—
944	C₄×#41	—	67	4	no	—
945	C₄×#41	—	67	8	no	—
946	C₄×#41	—	67	8	no	—
947	C₄×#41	—	67	4	no	—
948	C₄×#41	—	67	4	no	—
949	C₂×C₄×D₄	—	67	4	no	—
950	C₂×C₄×D₄	—	67	4	no	—
951	C₂×#117	—	67	2	no	—
952	C₂×#117	—	67	4	no	—
953	C₂×#117	—	67	1	no	—
954	C₂×#117	—	67	1	no	—
955	C₂×#117	—	67	2	no	—
956	C₂×#117	—	67	2	no	—
957	C₂×#117	—	67	4	no	—
958	C₂×#117	—	67	4	no	—
959	C₂×#117	—	67	1	no	—
960	C₂×#117	—	67	1	no	—
961	C₂×#117	—	67	4	no	—
962	C₂×#117	—	67	4	no	—
963	C₂×#117	—	67	4	no	—
964	C₂²×C₄⋊C₄	—	67	1	no	—
965	C₂²×C₄⋊C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
966	C₂²×C₂²⋊C₄	—	67	2	no	—
967	C₂²×C₄²	—	67	2	no	—
968	C₂⁵	—	67	1	no	—
969	C₂×#41	—	67	2	no	—
970	C₂×#41	—	67	8	no	—
971	C₂×#41	—	67	2	no	—
972	C₂×#41	—	67	4	no	—
973	C₂×#41	—	67	4	no	—
974	C₂×#41	—	67	4	no	—
975	C₂×#41	—	67	2	no	—
976	C₂×#41	—	134	16	no	—
977	C₂×#41	C₂²×D₆₇	1	2	yes	—
978	C₂×#41	C₂²×D₆₇	1	4	yes	—
979	C₂²×Q₈	—	67	2	no	—
980	C₂²×D₄	—	67	4	no	—
981	C₂²×D₄	—	67	4	no	—
982	C₂²×D₄	—	67	4	no	—
983	C₂²×D₄	—	67	2	no	—
984	C₂³×C₄	—	67	2	no	—
985	C₂³×C₄	—	67	1	no	—
986	C₂³×C₄	—	67	1	no	—
987	C₂³×C₄	—	67	2	no	—
988	C₂³×C₄	—	67	2	no	—
989	C₂³×C₄	—	67	4	no	—
990	C₂³×C₄	—	67	2	no	—
991	C₂³×C₄	—	67	2	no	—
992	C₂³×C₄	—	67	1	no	—
993	C₂³×C₄	—	67	1	no	—
994	C₂³×C₄	—	67	1	no	—
995	C₂³×C₄	—	134	8	no	—
996	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
997	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
998	C₄⋊Q₈	—	67	4	no	—
999	C₄⋊Q₈	—	67	4	no	—
1000	C₄⋊Q₈	—	67	4	no	—
1001	C₄⋊Q₈	—	67	4	no	—
1002	C₄⋊Q₈	—	67	4	no	—
1003	C₄⋊Q₈	—	67	4	no	—
1004	C₄⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1005	#127	—	67	4	no	—
1006	#126	—	67	8	no	—
1007	#126	—	67	8	no	—
1008	#126	—	67	8	no	—
1009	#126	—	67	8	no	—
1010	#126	—	67	8	no	—
1011	#126	—	67	8	no	—
1012	#126	—	67	8	no	—
1013	#126	—	67	8	no	—
1014	#126	—	67	8	no	—
1015	#126	—	67	8	no	—
1016	#126	—	67	8	no	—
1017	#126	C₂²×D₆₇	1	8	yes	complemented
1018	#125	—	67	8	no	—
1019	#125	—	67	8	no	—
1020	#125	—	67	4	no	—
1021	#125	—	67	4	no	—
1022	#125	—	67	8	no	—
1023	#125	—	67	8	no	—
1024	#125	—	67	8	no	—
1025	#125	—	67	4	no	—
1026	#125	—	67	4	no	—
1027	#125	—	67	4	no	—
1028	#125	C₂²×D₆₇	1	8	yes	complemented
1029	#125	C₂²×D₆₇	1	4	yes	complemented
1030	#124	—	67	4	no	—
1031	#124	—	67	8	no	—
1032	#124	—	67	4	no	—
1033	#124	—	67	8	no	—
1034	#124	—	67	8	no	—
1035	#124	—	67	8	no	—
1036	#124	—	67	8	no	—
1037	#124	—	67	8	no	—
1038	#123	—	67	4	no	—
1039	#123	—	67	8	no	—
1040	#123	—	67	4	no	—
1041	#123	—	67	8	no	—
1042	#123	—	67	8	no	—
1043	#123	—	67	4	no	—
1044	#123	—	67	4	no	—
1045	#123	—	67	8	no	—
1046	#123	—	67	8	no	—
1047	#123	—	67	8	no	—
1048	#123	—	67	8	no	—
1049	#123	—	67	4	no	—
1050	#123	—	67	4	no	—
1051	#123	—	67	4	no	—
1052	#123	—	67	8	no	—
1053	#123	—	67	8	no	—
1054	#123	—	67	8	no	—
1055	#123	—	67	8	no	—
1056	#123	—	67	8	no	—
1057	#123	C₂²×D₆₇	1	4	yes	—
1058	#123	C₂²×D₆₇	1	8	yes	—
1059	#123	C₂²×D₆₇	1	8	yes	complemented
1060	C₂²⋊Q₈	—	67	2	no	—
1061	C₂²⋊Q₈	—	67	2	no	—
1062	C₂²⋊Q₈	—	67	4	no	—
1063	C₂²⋊Q₈	—	67	8	no	—
1064	C₂²⋊Q₈	—	67	2	no	—
1065	C₂²⋊Q₈	—	67	2	no	—
1066	C₂²⋊Q₈	—	67	4	no	—
1067	C₂²⋊Q₈	—	67	4	no	—
1068	C₂²⋊Q₈	—	67	4	no	—
1069	C₂²⋊Q₈	—	67	4	no	—
1070	C₂²⋊Q₈	—	67	4	no	—
1071	C₂²⋊Q₈	—	67	2	no	—
1072	C₂²⋊Q₈	—	67	2	no	—
1073	C₂²⋊Q₈	—	67	4	no	—
1074	C₂²⋊Q₈	—	67	8	no	—
1075	C₂²⋊Q₈	—	67	8	no	—
1076	C₂²⋊Q₈	—	67	8	no	—
1077	C₂²⋊Q₈	—	67	8	no	—
1078	C₂²⋊Q₈	—	67	8	no	—
1079	C₂²⋊Q₈	—	67	4	no	—
1080	C₂²⋊Q₈	—	67	4	no	—
1081	C₂²⋊Q₈	—	67	8	no	—
1082	C₂²⋊Q₈	—	67	8	no	—
1083	C₂²⋊Q₈	—	67	8	no	—
1084	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1085	C₂²⋊Q₈	C₂²×D₆₇	1	2	yes	—
1086	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	—
1087	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	—
1088	C₂²⋊Q₈	C₂²×D₆₇	1	4	yes	complemented
1089	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
1090	#121	—	67	4	no	—
1091	#121	—	67	4	no	—
1092	#121	—	67	2	no	—
1093	#121	—	67	2	no	—
1094	#121	—	67	8	no	—
1095	#121	—	67	8	no	—
1096	#121	—	67	4	no	—
1097	#121	—	67	8	no	—
1098	#121	—	67	2	no	—
1099	#121	—	67	2	no	—
1100	#121	—	67	4	no	—
1101	#121	—	67	4	no	—
1102	#121	—	67	4	no	—
1103	#121	—	67	8	no	—
1104	#121	—	67	2	no	—
1105	#121	—	67	2	no	—
1106	#121	—	67	4	no	—
1107	#121	—	67	8	no	—
1108	#121	—	67	4	no	—
1109	#121	—	67	4	no	—
1110	#121	—	67	8	no	—
1111	#121	C₂²×D₆₇	1	2	yes	—
1112	#121	C₂²×D₆₇	1	2	yes	—
1113	#121	C₂²×D₆₇	1	4	yes	—
1114	#121	C₂²×D₆₇	1	4	yes	—
1115	#121	C₂²×D₆₇	1	4	yes	complemented
1116	#120	—	67	4	no	—
1117	#120	—	67	4	no	—
1118	#120	—	67	4	no	—
1119	#120	—	67	4	no	—
1120	#120	—	67	8	no	—
1121	#120	—	67	4	no	—
1122	#120	—	67	4	no	—
1123	#120	—	67	4	no	—
1124	#120	—	67	8	no	—
1125	#120	C₂²×D₆₇	1	4	yes	—
1126	C₄×Q₈	—	67	4	no	—
1127	C₄×Q₈	—	67	4	no	—
1128	C₄×Q₈	—	67	4	no	—
1129	C₄×Q₈	—	67	8	no	—
1130	C₄×Q₈	—	67	4	no	—
1131	C₄×Q₈	—	67	8	no	—
1132	C₄×Q₈	—	67	4	no	—
1133	C₄×Q₈	—	67	4	no	—
1134	C₄×Q₈	—	67	8	no	—
1135	C₄×Q₈	—	67	4	no	—
1136	C₄×Q₈	—	67	8	no	—
1137	C₄×Q₈	C₂²×D₆₇	1	4	yes	complemented
1138	C₄×D₄	—	67	4	no	—
1139	C₄×D₄	—	67	4	no	—
1140	C₄×D₄	—	67	8	no	—
1141	C₄×D₄	—	67	4	no	—
1142	C₄×D₄	—	67	4	no	—
1143	C₄×D₄	—	67	8	no	—
1144	C₄×D₄	—	67	4	no	—
1145	C₄×D₄	—	67	4	no	—
1146	C₄×D₄	—	67	4	no	—
1147	C₄×D₄	—	67	4	no	—
1148	C₄×D₄	—	67	4	no	—
1149	C₄×D₄	—	67	8	no	—
1150	C₄×D₄	—	67	8	no	—
1151	C₄×D₄	—	67	8	no	—
1152	C₄×D₄	—	67	8	no	—
1153	C₄×D₄	—	67	8	no	—
1154	C₄×D₄	—	67	4	no	—
1155	C₄×D₄	—	67	4	no	—
1156	C₄×D₄	—	67	8	no	—
1157	C₄×D₄	—	67	4	no	—
1158	C₄×D₄	—	67	4	no	—
1159	C₄×D₄	—	67	4	no	—
1160	C₄×D₄	—	67	4	no	—
1161	C₄×D₄	—	67	4	no	—
1162	C₄×D₄	—	67	4	no	—
1163	C₄×D₄	—	67	4	no	—
1164	C₄×D₄	—	67	8	no	—
1165	C₄×D₄	—	67	8	no	—
1166	C₄×D₄	—	67	8	no	—
1167	C₄×D₄	—	67	8	no	—
1168	C₄×D₄	—	67	8	no	—
1169	C₄×D₄	—	67	4	no	—
1170	C₄×D₄	—	67	4	no	—
1171	C₄×D₄	—	67	8	no	—
1172	C₄×D₄	—	67	4	no	—
1173	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1174	C₄×D₄	C₂²×D₆₇	1	4	yes	—
1175	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1176	C₄×D₄	C₂²×D₆₇	1	8	yes	—
1177	C₄×D₄	C₂²×D₆₇	1	4	yes	complemented
1178	#117	—	67	2	no	—
1179	#117	—	67	4	no	—
1180	#117	—	67	4	no	—
1181	#117	—	67	8	no	—
1182	#117	—	67	4	no	—
1183	#117	—	67	4	no	—
1184	#117	—	67	2	no	—
1185	#117	—	67	2	no	—
1186	#117	—	67	4	no	—
1187	#117	—	67	8	no	—
1188	#117	—	67	4	no	—
1189	#117	—	67	8	no	—
1190	#117	—	67	8	no	—
1191	#117	—	67	8	no	—
1192	#117	—	67	4	no	—
1193	#117	—	67	4	no	—
1194	#117	—	67	4	no	—
1195	#117	—	67	4	no	—
1196	#117	—	67	8	no	—
1197	#117	—	67	8	no	—
1198	#117	—	67	4	no	—
1199	#117	—	67	4	no	—
1200	#117	—	67	8	no	—
1201	#117	—	67	4	no	—
1202	#117	—	67	8	no	—
1203	#117	—	67	8	no	—
1204	#117	—	67	8	no	—
1205	#117	—	67	4	no	—
1206	#117	—	67	8	no	—
1207	#117	—	67	8	no	—
1208	#117	C₂²×D₆₇	1	2	yes	—
1209	#117	C₂²×D₆₇	1	4	yes	—
1210	#117	C₂²×D₆₇	1	4	yes	complemented
1211	C₂×C₄⋊C₄	—	67	1	no	—
1212	C₂×C₄⋊C₄	—	67	1	no	—
1213	C₂×C₄⋊C₄	—	67	2	no	—
1214	C₂×C₄⋊C₄	—	67	4	no	—
1215	C₂×C₄⋊C₄	—	67	4	no	—
1216	C₂×C₄⋊C₄	—	67	4	no	—
1217	C₂×C₄⋊C₄	—	67	2	no	—
1218	C₂×C₄⋊C₄	—	67	2	no	—
1219	C₂×C₄⋊C₄	—	67	4	no	—
1220	C₂×C₄⋊C₄	—	67	4	no	—
1221	C₂×C₄⋊C₄	—	67	4	no	—
1222	C₂×C₄⋊C₄	—	67	4	no	—
1223	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1224	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic
1225	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	—
1226	C₂×C₄⋊C₄	C₂²×D₆₇	1	4	yes	—
1227	C₂×C₄⋊C₄	C₂²×D₆₇	1	4	yes	—
1228	C₂×C₄⋊C₄	C₂²×D₆₇	1	4	yes	complemented
1229	C₂×C₂²⋊C₄	—	67	2	no	—
1230	C₂×C₂²⋊C₄	—	67	2	no	—
1231	C₂×C₂²⋊C₄	—	67	2	no	—
1232	C₂×C₂²⋊C₄	—	67	2	no	—
1233	C₂×C₂²⋊C₄	—	67	8	no	—
1234	C₂×C₂²⋊C₄	—	67	8	no	—
1235	C₂×C₂²⋊C₄	—	67	8	no	—
1236	C₂×C₂²⋊C₄	—	67	4	no	—
1237	C₂×C₂²⋊C₄	—	67	8	no	—
1238	C₂×C₂²⋊C₄	—	67	4	no	—
1239	C₂×C₂²⋊C₄	—	67	4	no	—
1240	C₂×C₂²⋊C₄	—	67	4	no	—
1241	C₂×C₂²⋊C₄	—	67	4	no	—
1242	C₂×C₄²	—	67	2	no	—
1243	C₂×C₄²	—	67	4	no	—
1244	C₂×C₄²	—	67	4	no	—
1245	C₂×C₄²	—	67	2	no	—
1246	C₂×C₄²	—	67	2	no	—
1247	C₂×C₄²	—	67	4	no	—
1248	C₂×C₄²	—	67	4	no	—
1249	C₂×C₄²	—	67	2	no	—
1250	C₂×C₄²	—	67	8	no	—
1251	C₂×C₄²	—	67	4	no	—
1252	C₂×C₄²	—	67	8	no	—
1253	C₂⁴	—	268	2	no	—
1254	C₂⁴	—	268	2	no	—
1255	C₂⁴	—	67	1	no	—
1256	C₂⁴	—	67	4	no	—
1257	C₂⁴	—	67	1	no	—
1258	C₂⁴	—	67	2	no	—
1259	C₂⁴	—	67	2	no	—
1260	C₂⁴	—	134	4	no	—
1261	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1262	#41	—	2	8	no	—
1263	#41	—	4	8	no	—
1264	#41	—	268	8	no	—
1265	#41	—	268	16	no	—
1266	#41	—	134	16	no	—
1267	#41	—	134	16	no	—
1268	#41	—	134	8	no	—
1269	#41	—	134	8	no	—
1270	#41	—	134	8	no	—
1271	C₂×Q₈	—	67	4	no	—
1272	C₂×Q₈	—	67	8	no	—
1273	C₂×Q₈	—	67	2	no	—
1274	C₂×Q₈	—	67	4	no	—
1275	C₂×Q₈	—	134	8	no	—
1276	C₂×Q₈	C₂³×D₆₇	1	2	yes	—
1277	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1278	C₂×D₄	—	268	8	no	—
1279	C₂×D₄	—	268	8	no	—
1280	C₂×D₄	—	67	4	no	—
1281	C₂×D₄	—	67	4	no	—
1282	C₂×D₄	—	67	8	no	—
1283	C₂×D₄	—	67	4	no	—
1284	C₂×D₄	—	67	4	no	—
1285	C₂×D₄	—	67	4	no	—
1286	C₂×D₄	—	67	4	no	—
1287	C₂×D₄	—	67	4	no	—
1288	C₂×D₄	—	67	4	no	—
1289	C₂×D₄	—	67	4	no	—
1290	C₂×D₄	—	67	4	no	—
1291	C₂×D₄	—	67	4	no	—
1292	C₂×D₄	—	67	2	no	—
1293	C₂×D₄	—	134	8	no	—
1294	C₂×D₄	—	134	16	no	—
1295	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1296	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1297	C₂×D₄	C₂³×D₆₇	1	2	yes	—
1298	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1299	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1300	C₂²×C₄	—	2	4	no	—
1301	C₂²×C₄	—	4	4	no	—
1302	C₂²×C₄	—	268	4	no	—
1303	C₂²×C₄	—	67	2	no	—
1304	C₂²×C₄	—	67	4	no	—
1305	C₂²×C₄	—	67	2	no	—
1306	C₂²×C₄	—	67	8	no	—
1307	C₂²×C₄	—	67	4	no	—
1308	C₂²×C₄	—	67	4	no	—
1309	C₂²×C₄	—	67	8	no	—
1310	C₂²×C₄	—	67	8	no	—
1311	C₂²×C₄	—	67	1	no	—
1312	C₂²×C₄	—	67	8	no	—
1313	C₂²×C₄	—	67	2	no	—
1314	C₂²×C₄	—	67	2	no	—
1315	C₂²×C₄	—	67	1	no	—
1316	C₂²×C₄	—	67	1	no	—
1317	C₂²×C₄	—	67	1	no	—
1318	C₂²×C₄	—	67	1	no	—
1319	C₂²×C₄	—	67	1	no	—
1320	C₂²×C₄	—	67	4	no	—
1321	C₂²×C₄	—	67	4	no	—
1322	C₂²×C₄	—	67	4	no	—
1323	C₂²×C₄	—	67	2	no	—
1324	C₂²×C₄	—	67	2	no	—
1325	C₂²×C₄	—	67	4	no	—
1326	C₂²×C₄	—	67	4	no	—
1327	C₂²×C₄	—	67	2	no	—
1328	C₂²×C₄	—	67	2	no	—
1329	C₂²×C₄	—	67	2	no	—
1330	C₂²×C₄	—	67	2	no	—
1331	C₂²×C₄	—	134	4	no	—
1332	C₂²×C₄	—	134	8	no	—
1333	C₂²×C₄	—	134	8	no	—
1334	C₂²×C₄	—	134	8	no	—
1335	C₂²×C₄	—	134	8	no	—
1336	C₂²×C₄	—	134	16	no	—
1337	C₂²×C₄	—	134	4	no	—
1338	C₂²×C₄	—	134	4	no	—
1339	C₂²×C₄	—	134	4	no	—
1340	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1341	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1342	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1343	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1344	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1345	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1346	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1347	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1348	C₂²×C₄	C₂³×D₆₇	1	8	yes	—
1349	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1350	C₄⋊C₄	—	67	4	no	—
1351	C₄⋊C₄	—	67	4	no	—
1352	C₄⋊C₄	—	67	2	no	—
1353	C₄⋊C₄	—	67	2	no	—
1354	C₄⋊C₄	—	67	8	no	—
1355	C₄⋊C₄	—	67	4	no	—
1356	C₄⋊C₄	—	67	4	no	—
1357	C₄⋊C₄	—	67	4	no	—
1358	C₄⋊C₄	—	67	4	no	—
1359	C₄⋊C₄	—	67	8	no	—
1360	C₄⋊C₄	—	67	8	no	—
1361	C₄⋊C₄	—	67	4	no	—
1362	C₄⋊C₄	—	67	8	no	—
1363	C₄⋊C₄	—	67	4	no	—
1364	C₄⋊C₄	—	67	4	no	—
1365	C₄⋊C₄	—	67	4	no	—
1366	C₄⋊C₄	—	67	8	no	—
1367	C₄⋊C₄	—	67	8	no	—
1368	C₄⋊C₄	—	67	8	no	—
1369	C₄⋊C₄	—	67	8	no	—
1370	C₄⋊C₄	—	67	4	no	—
1371	C₄⋊C₄	—	67	4	no	—
1372	C₄⋊C₄	—	67	8	no	—
1373	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1374	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1375	C₄⋊C₄	C₂³×D₆₇	1	2	yes	—
1376	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1377	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1378	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1379	C₄⋊C₄	C₂³×D₆₇	1	8	yes	—
1380	C₄⋊C₄	C₂³×D₆₇	1	8	yes	—
1381	C₄⋊C₄	C₂³×D₆₇	1	8	yes	—
1382	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1383	C₄⋊C₄	C₂³×D₆₇	1	4	yes	—
1384	C₂²⋊C₄	—	67	4	no	—
1385	C₂²⋊C₄	—	67	4	no	—
1386	C₂²⋊C₄	—	67	4	no	—
1387	C₂²⋊C₄	—	67	8	no	—
1388	C₂²⋊C₄	—	67	4	no	—
1389	C₂²⋊C₄	—	67	4	no	—
1390	C₂²⋊C₄	—	67	8	no	—
1391	C₂²⋊C₄	—	67	8	no	—
1392	C₂²⋊C₄	—	67	8	no	—
1393	C₂²⋊C₄	—	67	4	no	—
1394	C₂²⋊C₄	—	67	4	no	—
1395	C₂²⋊C₄	—	67	8	no	—
1396	C₂²⋊C₄	—	67	8	no	—
1397	C₂²⋊C₄	—	67	8	no	—
1398	C₂²⋊C₄	—	67	4	no	—
1399	C₂²⋊C₄	—	67	4	no	—
1400	C₂²⋊C₄	—	67	8	no	—
1401	C₂²⋊C₄	—	67	4	no	—
1402	C₂²⋊C₄	—	67	4	no	—
1403	C₂²⋊C₄	—	67	4	no	—
1404	C₂²⋊C₄	—	67	4	no	—
1405	C₂²⋊C₄	—	67	4	no	—
1406	C₂²⋊C₄	—	67	4	no	—
1407	C₂²⋊C₄	—	67	8	no	—
1408	C₂²⋊C₄	—	67	8	no	—
1409	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1410	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1411	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1412	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1413	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1414	C₂²⋊C₄	C₂³×D₆₇	1	4	yes	—
1415	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1416	C₄²	—	67	4	no	—
1417	C₄²	—	67	4	no	—
1418	C₄²	—	67	4	no	—
1419	C₄²	—	67	4	no	—
1420	C₄²	—	67	4	no	—
1421	C₄²	—	67	4	no	—
1422	C₄²	—	67	4	no	—
1423	C₄²	—	67	4	no	—
1424	C₄²	—	67	4	no	—
1425	C₄²	—	67	4	no	—
1426	C₄²	—	67	8	no	—
1427	C₄²	—	67	8	no	—
1428	C₄²	—	67	8	no	—
1429	C₄²	—	67	4	no	—
1430	C₄²	C₂³×D₆₇	1	8	yes	—
1431	C₄²	C₂³×D₆₇	1	4	yes	—
1432	C₂³	—	2	2	no	—
1433	C₂³	—	2	2	no	—
1434	C₂³	—	2	2	no	—
1435	C₂³	—	268	16	no	—
1436	C₂³	—	268	1	no	—
1437	C₂³	—	268	2	no	—
1438	C₂³	—	268	1	no	—
1439	C₂³	—	268	1	no	—
1440	C₂³	—	268	2	no	—
1441	C₂³	—	268	1	no	—
1442	C₂³	—	268	4	no	—
1443	C₂³	—	268	4	no	—
1444	C₂³	—	67	4	no	—
1445	C₂³	—	67	2	no	—
1446	C₂³	—	67	2	no	—
1447	C₂³	—	67	4	no	—
1448	C₂³	—	134	4	no	—
1449	C₂³	—	134	4	no	—
1450	C₂³	—	134	8	no	—
1451	C₂³	—	134	2	no	—
1452	C₂³	—	134	4	no	—
1453	C₂³	—	134	4	no	—
1454	C₂³	C₂⁴×D₆₇	1	4	yes	—
1455	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1456	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1457	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1458	Q₈	—	2	4	no	—
1459	Q₈	—	4	4	no	—
1460	Q₈	—	268	4	no	—
1461	Q₈	—	268	8	no	—
1462	Q₈	—	134	8	no	—
1463	Q₈	—	134	4	no	—
1464	D₄	—	2	8	no	—
1465	D₄	—	2	8	no	—
1466	D₄	—	2	8	no	—
1467	D₄	—	2	4	no	—
1468	D₄	—	4	4	no	—
1469	D₄	—	268	4	no	—
1470	D₄	—	268	4	no	—
1471	D₄	—	268	4	no	—
1472	D₄	—	268	4	no	—
1473	D₄	—	268	4	no	—
1474	D₄	—	268	8	no	—
1475	D₄	—	134	8	no	—
1476	D₄	—	134	8	no	—
1477	D₄	—	134	8	no	—
1478	D₄	—	134	8	no	—
1479	D₄	—	134	8	no	—
1480	D₄	—	134	8	no	—
1481	D₄	—	134	4	no	—
1482	C₂×C₄	—	2	2	no	—
1483	C₂×C₄	—	2	8	no	—
1484	C₂×C₄	—	2	4	no	—
1485	C₂×C₄	—	2	4	no	—
1486	C₂×C₄	—	2	8	no	—
1487	C₂×C₄	—	4	2	no	—
1488	C₂×C₄	—	4	4	no	—
1489	C₂×C₄	—	4	2	no	—
1490	C₂×C₄	—	4	8	no	—
1491	C₂×C₄	—	268	4	no	—
1492	C₂×C₄	—	268	4	no	—
1493	C₂×C₄	—	268	8	no	—
1494	C₂×C₄	—	268	8	no	—
1495	C₂×C₄	—	268	2	no	—
1496	C₂×C₄	—	268	4	no	—
1497	C₂×C₄	—	268	2	no	—
1498	C₂×C₄	—	268	8	no	—
1499	C₂×C₄	—	67	4	no	—
1500	C₂×C₄	—	67	1	no	—
1501	C₂×C₄	—	67	1	no	—
1502	C₂×C₄	—	67	8	no	—
1503	C₂×C₄	—	67	8	no	—
1504	C₂×C₄	—	67	1	no	—
1505	C₂×C₄	—	67	1	no	—
1506	C₂×C₄	—	67	4	no	—
1507	C₂×C₄	—	67	4	no	—
1508	C₂×C₄	—	67	4	no	—
1509	C₂×C₄	—	67	4	no	—
1510	C₂×C₄	—	67	4	no	—
1511	C₂×C₄	—	134	4	no	—
1512	C₂×C₄	—	134	4	no	—
1513	C₂×C₄	—	134	8	no	—
1514	C₂×C₄	—	134	4	no	—
1515	C₂×C₄	—	134	4	no	—
1516	C₂×C₄	—	134	8	no	—
1517	C₂×C₄	—	134	2	no	—
1518	C₂×C₄	—	134	2	no	—
1519	C₂×C₄	—	134	2	no	—
1520	C₂×C₄	—	134	2	no	—
1521	C₂×C₄	—	134	8	no	—
1522	C₂×C₄	—	134	2	no	—
1523	C₂×C₄	—	134	8	no	—
1524	C₂×C₄	—	134	4	no	—
1525	C₂×C₄	—	134	4	no	—
1526	C₂×C₄	—	134	8	no	—
1527	C₂×C₄	#41×D₆₇	1	4	yes	—
1528	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1529	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1530	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1531	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1532	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1533	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1534	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1535	C₂²	—	2	8	no	—
1536	C₂²	—	2	1	no	—
1537	C₂²	—	2	1	no	—
1538	C₂²	—	2	1	no	—
1539	C₂²	—	2	1	no	—
1540	C₂²	—	2	1	no	—
1541	C₂²	—	2	1	no	—
1542	C₂²	—	2	4	no	—
1543	C₂²	—	2	4	no	—
1544	C₂²	—	2	4	no	—
1545	C₂²	—	268	4	no	—
1546	C₂²	—	268	8	no	—
1547	C₂²	—	268	8	no	—
1548	C₂²	—	268	4	no	—
1549	C₂²	—	536	8	no	—
1550	C₂²	—	67	4	no	—
1551	C₂²	—	134	2	no	—
1552	C₂²	—	134	4	no	—
1553	C₂²	—	134	4	no	—
1554	C₂²	—	134	2	no	—
1555	C₂²	—	134	4	no	—
1556	C₂²	—	134	2	no	—
1557	C₂²	—	134	2	no	—
1558	C₂²	—	134	2	no	—
1559	C₂²	C₂×#41×D₆₇	1	2	yes	—
1560	C₂²	#16864231	1	2	yes	—
1561	C₂²	#16864233	1	2	yes	—
1562	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1563	C₄	—	2	2	no	—
1564	C₄	—	2	4	no	—
1565	C₄	—	2	4	no	—
1566	C₄	—	2	4	no	—
1567	C₄	—	2	4	no	—
1568	C₄	—	2	4	no	—
1569	C₄	—	67	2	no	—
1570	C₄	—	67	2	no	—
1571	C₄	—	134	1	no	—
1572	C₄	—	134	1	no	—
1573	C₄	—	134	4	no	—
1574	C₄	—	134	4	no	—
1575	C₄	—	134	4	no	—
1576	C₄	—	134	4	no	—
1577	C₄	—	134	4	no	—
1578	C₄	C₂×#41×D₆₇	1	4	yes	—
1579	C₂	—	2	2	no	—
1580	C₂	—	2	2	no	—
1581	C₂	—	2	2	no	—
1582	C₂	—	4	4	no	—
1583	C₂	—	268	2	no	—
1584	C₂	—	268	4	no	—
1585	C₂	—	134	4	no	—
1586	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
1587	C₂	C₂×#16864231	1	1	yes	characteristic
1588	C₂	C₂×#16864233	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₆₇
commutator, socle, cosocle	C₂²×C₆₇	C₂⁶
Fitting	C₆₇×#3492	C₂
hypercenter	#3492	D₆₇
hypocenter	C₆₇	#62814
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ #3492

Complements

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

N	H ≅ G/N	type
1. #22573957	C₂	semidirect
2. #22573950	C₂	semidirect
3. #22573940	C₂	semidirect
4. #22573933	C₂	semidirect
5. #22573930	C₂	semidirect
6. #22573928	C₂	semidirect
7. #22573922	C₂	semidirect
8. #22573918	C₂	semidirect
9. #22573915	C₂	semidirect
10. #22573903	C₂	semidirect
11. #22573892	C₂	semidirect
12. #22573775	C₂	semidirect
13. #22573772	C₂	semidirect
14. #22573768	C₂	semidirect
15. #22573762	C₂	semidirect
16. #22573613	C₂	semidirect
17. #22573595	C₂	semidirect
18. #22573537	C₂	semidirect
19. #22573501	C₂	semidirect
20. #525×D₆₇	C₂	semidirect
21. #22573409	C₂	semidirect
22. C₂²×#14524001	C₂	semidirect
23. C₆₇×#3492	C₂	semidirect
26. #16864120	C₂²	semidirect
27. #16864119	C₂²	semidirect
28. #16864117	C₂²	semidirect
29. #16864114	C₂²	semidirect
30. #16864112	C₂²	semidirect
31. #16864111	C₂²	semidirect
32. #16864110	C₂²	semidirect
33. #16864109	C₂²	semidirect
34. #16864104	C₂²	semidirect
35. #16864103	C₂²	semidirect
36. #16864101	C₂²	semidirect
37. #16864099	C₂²	semidirect
38. #16864098	C₂²	semidirect
39. #16864098	C₂²	semidirect
40. #16864096	C₂²	semidirect
41. #16864094	C₂²	semidirect
42. #16864094	C₂²	semidirect
43. #16864092	C₂²	semidirect
44. #16864088	C₂²	semidirect
45. #16864088	C₂²	semidirect
46. #16864087	C₂²	semidirect
47. #16864086	C₂²	semidirect
48. #16864084	C₂²	semidirect
49. #16864084	C₂²	semidirect
50. #16864082	C₂²	semidirect
51. #16864081	C₂²	semidirect
52. #16864081	C₂²	semidirect
53. #16864080	C₂²	semidirect
54. #16864078	C₂²	semidirect
55. #16864075	C₂²	semidirect
56. #16864074	C₂²	semidirect
57. #16864073	C₂²	semidirect
58. #16864073	C₂²	semidirect
59. #16864071	C₂²	semidirect
60. #16864070	C₂²	semidirect
61. #16864069	C₂²	semidirect
62. #16864069	C₂²	semidirect
63. #16864050	C₂²	semidirect
64. #16864047	C₂²	semidirect
65. #16864046	C₂²	semidirect
66. #16864041	C₂²	semidirect
67. #16864038	C₂²	semidirect
68. #16864035	C₂²	semidirect
69. #16864034	C₂²	semidirect
70. #16864027	C₂²	semidirect
71. #16864026	C₂²	semidirect
72. #16864024	C₂²	semidirect
73. #16864023	C₂²	semidirect
75. #16864016	C₂²	semidirect
76. #16864012	C₂²	semidirect
77. #16864005	C₂²	semidirect
78. #16863998	C₂²	semidirect
79. #16863993	C₂²	semidirect
80. #16863990	C₂²	semidirect
81. #16863986	C₂²	semidirect
82. #16863983	C₂²	semidirect
83. #16863979	C₂²	semidirect
84. #16863977	C₂²	semidirect
85. #16863974	C₂²	semidirect
86. #16863969	C₂²	semidirect
87. #16863962	C₂²	semidirect
89. #16863952	C₂²	semidirect
90. #16863951	C₂²	semidirect
91. #16863949	C₂²	semidirect
92. #16863948	C₂²	semidirect
93. #16863948	C₂²	semidirect
94. #16863942	C₂²	semidirect
95. #16863941	C₂²	semidirect
96. #16863941	C₂²	semidirect
97. #16863932	C₂²	semidirect
98. #16863932	C₂²	semidirect
99. #16863932	C₂²	semidirect
100. #16863931	C₂²	semidirect
101. #16863929	C₂²	semidirect
102. #16863927	C₂²	semidirect
103. #16863927	C₂²	semidirect
104. #16863926	C₂²	semidirect
105. #16863926	C₂²	semidirect
106. #16863923	C₂²	semidirect
107. #16863923	C₂²	semidirect
108. #16863923	C₂²	semidirect
111. #16863909	C₂²	semidirect
112. #16863908	C₂²	semidirect
113. #16863907	C₂²	semidirect
114. #16863907	C₂²	semidirect
117. #16863906	C₂²	semidirect
120. #16863904	C₂²	semidirect
121. #16863903	C₂²	semidirect
122. #16863902	C₂²	semidirect
123. #16863902	C₂²	semidirect
125. C₂²⋊Q₈×D₆₇	C₂²	semidirect
126. C₂²⋊Q₈×D₆₇	C₂²	semidirect
127. #121×D₆₇	C₂²	semidirect
128. #121×D₆₇	C₂²	semidirect
130. #16863879	C₂²	semidirect
131. #16863877	C₂²	semidirect
132. #16863877	C₂²	semidirect
133. #16863876	C₂²	semidirect
134. #16863876	C₂²	semidirect
135. #16863872	C₂²	semidirect
137. #16863868	C₂²	semidirect
138. #41×Dic₆₇	C₂²	semidirect
139. C₄×#11761629	C₂²	semidirect
140. #16863864	C₂²	semidirect
141. C₄×#11761627	C₂²	semidirect
142. C₄×#11761627	C₂²	semidirect
143. C₄×#11761627	C₂²	semidirect
144. C₄×D₄×D₆₇	C₂²	semidirect
145. C₄×D₄×D₆₇	C₂²	semidirect
149. C₂×#14524001	C₂²	semidirect
150. C₂×#14524001	C₂²	semidirect
151. C₂×#14524001	C₂²	semidirect
152. C₂×#14524001	C₂²	semidirect
153. C₂×#14524001	C₂²	semidirect
154. C₂×#14524001	C₂²	semidirect
155. C₂×#14524001	C₂²	semidirect
156. C₂×#14524001	C₂²	semidirect
158. #117×D₆₇	C₂²	semidirect
159. C₂²×C₄⋊Dic₆₇	C₂²	semidirect
161. C₂²×C₄×Dic₆₇	C₂²	semidirect
162. #554×C₆₇	C₂²	semidirect
163. #553×C₆₇	C₂²	semidirect
164. #552×C₆₇	C₂²	semidirect
165. #547×C₆₇	C₂²	semidirect
166. #544×C₆₇	C₂²	semidirect
167. #539×C₆₇	C₂²	semidirect
168. #537×C₆₇	C₂²	semidirect
169. #525×C₆₇	C₂²	semidirect
170. #525×C₆₇	C₂²	semidirect
171. #520×C₆₇	C₂²	semidirect
172. C₂²×C₄⋊C₄×C₆₇	C₂²	semidirect
199. #14524043	C₂³	semidirect
200. #14524042	C₂³	semidirect
201. #14524042	C₂³	semidirect
202. #14524042	C₂³	semidirect
203. #14524042	C₂³	semidirect
204. #14524041	C₂³	semidirect
205. #14524039	C₂³	semidirect
209. #14524038	C₂³	semidirect
210. #14524038	C₂³	semidirect
211. #14524038	C₂³	semidirect
212. #14524038	C₂³	semidirect
214. #14524036	C₂³	semidirect
215. #14524036	C₂³	semidirect
216. #14524036	C₂³	semidirect
217. #14524035	C₂³	semidirect
218. #14524034	C₂³	semidirect
219. #14524034	C₂³	semidirect
220. #14524034	C₂³	semidirect
221. #14524034	C₂³	semidirect
222. #14524034	C₂³	semidirect
223. #14524033	C₂³	semidirect
224. #14524033	C₂³	semidirect
225. #14524033	C₂³	semidirect
226. #14524033	C₂³	semidirect
228. #14524032	C₂³	semidirect
230. #14524030	C₂³	semidirect
233. #14524029	C₂³	semidirect
234. #14524029	C₂³	semidirect
240. #14524028	C₂³	semidirect
244. #14524027	C₂³	semidirect
251. #14524025	C₂³	semidirect
257. #14524023	C₂³	semidirect
258. #14524023	C₂³	semidirect
263. #14524022	C₂³	semidirect
268. #14524021	C₂³	semidirect
273. #14524020	C₂³	semidirect
277. #14524019	C₂³	semidirect
281. #14524018	C₂³	semidirect
287. #14524017	C₂³	semidirect
298. #14524014	C₂³	semidirect
308. Q₈×Dic₆₇	C₂³	semidirect
309. Q₈×Dic₆₇	C₂³	semidirect
310. Q₈×Dic₆₇	C₂³	semidirect
311. C₄×Dic₁₃₄	C₂³	semidirect
312. C₄×Dic₁₃₄	C₂³	semidirect
313. C₄×Dic₁₃₄	C₂³	semidirect
314. #14524008	C₂³	semidirect
315. #14524008	C₂³	semidirect
316. #14524008	C₂³	semidirect
317. #14524008	C₂³	semidirect
318. #14524008	C₂³	semidirect
322. C₄×D₂₆₈	C₂³	semidirect
327. D₄×Dic₆₇	C₂³	semidirect
328. D₄×Dic₆₇	C₂³	semidirect
329. D₄×Dic₆₇	C₂³	semidirect
333. #14524005	C₂³	semidirect
334. #14524005	C₂³	semidirect
335. #14524005	C₂³	semidirect
343. C₄×C₂²⋊D₆₇	C₂³	semidirect
344. C₄×C₂²⋊D₆₇	C₂³	semidirect
352. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
353. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
356. #14524002	C₂³	semidirect
357. #14524002	C₂³	semidirect
373. #14524001	C₂³	semidirect
374. #14524001	C₂³	semidirect
375. #14524001	C₂³	semidirect
376. #14524001	C₂³	semidirect
379. #14524000	C₂³	semidirect
382. #14523999	C₂³	semidirect
383. #14523999	C₂³	semidirect
389. C₂×C₄⋊Dic₆₇	C₂³	semidirect
394. C₄⋊C₄×D₆₇	C₂³	semidirect
395. C₄⋊C₄×D₆₇	C₂³	semidirect
417. C₂×C₄×Dic₆₇	C₂³	semidirect
419. C₄²×D₆₇	C₂³	semidirect
424. C₄⋊Q₈×C₆₇	C₂³	semidirect
425. #126×C₆₇	C₂³	semidirect
426. #125×C₆₇	C₂³	semidirect
427. #125×C₆₇	C₂³	semidirect
430. #123×C₆₇	C₂³	semidirect
435. C₂²⋊Q₈×C₆₇	C₂³	semidirect
436. C₂²⋊Q₈×C₆₇	C₂³	semidirect
441. #121×C₆₇	C₂³	semidirect
443. C₄×Q₈×C₆₇	C₂³	semidirect
448. C₄×D₄×C₆₇	C₂³	semidirect
451. #117×C₆₇	C₂³	semidirect
457. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
517. C₂×C₄×D₆₇	#41	semidirect
804. #3492	D₆₇	semidirect
818. C₆₇	#62814	semidirect
832. #554	C₂×D₆₇	semidirect
840. #553	C₂×D₆₇	semidirect
852. #552	C₂×D₆₇	semidirect
864. #547	C₂×D₆₇	semidirect
873. #544	C₂×D₆₇	semidirect
881. #539	C₂×D₆₇	semidirect
887. #537	C₂×D₆₇	semidirect
926. #525	C₂×D₆₇	semidirect
927. #525	C₂×D₆₇	semidirect
939. #520	C₂×D₆₇	semidirect
965. C₂²×C₄⋊C₄	C₂×D₆₇	semidirect
1004. C₄⋊Q₈	C₂²×D₆₇	semidirect
1017. #126	C₂²×D₆₇	semidirect
1028. #125	C₂²×D₆₇	semidirect
1029. #125	C₂²×D₆₇	semidirect
1059. #123	C₂²×D₆₇	semidirect
1088. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1089. C₂²⋊Q₈	C₂²×D₆₇	semidirect
1115. #121	C₂²×D₆₇	semidirect
1137. C₄×Q₈	C₂²×D₆₇	semidirect
1177. C₄×D₄	C₂²×D₆₇	semidirect
1210. #117	C₂²×D₆₇	semidirect
1228. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22573957	2
#22573950	2
#22573940	2
#22573933	2
#22573930	2
#22573928	2
#22573922	2
#22573918	2
#22573915	2
#22573903	2
#22573892	2
#22573775	2
#22573772	2
#22573768	2
#22573762	2
#22573613	2
#22573595	2
#22573537	2
#22573501	2
#525×D₆₇	2
#22573409	2
C₂²×#14524001	2
C₆₇×#3492	2
#62814	67