Subgroups — C₂×#22573892 #31763738

Order 17152.

9502 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22573892	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864075	C₂	1	2	yes	maximal, complemented
3	C₂×#16864073	C₂	1	2	yes	maximal, complemented
4	C₂×#16864070	C₂	1	2	yes	maximal, complemented
5	C₂×#16864069	C₂	1	2	yes	maximal, complemented
6	C₂×#16864041	C₂	1	2	yes	maximal, complemented
7	C₂×#16864038	C₂	1	2	yes	maximal, complemented
8	C₂×#16864035	C₂	1	2	yes	maximal, complemented
9	C₂×#16864034	C₂	1	2	yes	maximal, complemented
10	C₂×#16864021	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16863986	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16863983	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16863979	C₂	1	2	yes	maximal, complemented
14	C₂×#16863954	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16863907	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16863902	C₂	1	2	yes	maximal, complemented
17	C₂×#120×D₆₇	C₂	1	2	yes	maximal, complemented
18	C₂×#16863868	C₂	1	2	yes	maximal, complemented
19	C₂³×(C₂×D₆₇)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#525×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁵×D₆₇	C₂²	1	1	yes	characteristic
22	C₂²×#11761628	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#11761627	C₂²	1	2	yes	complemented
24	C₂²×D₄×D₆₇	C₂²	1	2	yes	—
25	C₂²×D₄×D₆₇	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₆₇	C₂²	1	2	yes	complemented
27	C₂⁴×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
28	#16864075	C₂²	1	32	yes	complemented
29	#16864073	C₂²	1	32	yes	complemented
30	#16864070	C₂²	1	32	yes	complemented
31	#16864069	C₂²	1	32	yes	complemented
32	#16864041	C₂²	1	32	yes	complemented
33	#16864038	C₂²	1	32	yes	complemented
34	#16864035	C₂²	1	32	yes	complemented
35	#16864034	C₂²	1	32	yes	complemented
36	#16864021	C₂²	1	16	yes	complemented
37	#16863986	C₂²	1	16	yes	complemented
38	#16863983	C₂²	1	16	yes	complemented
39	#16863979	C₂²	1	32	yes	complemented
40	#16863954	C₂²	1	16	yes	complemented
41	C₂×#14524038	C₂²	1	2	yes	complemented
42	C₂×#14524038	C₂²	1	2	yes	complemented
43	C₂×#14524038	C₂²	1	2	yes	complemented
44	C₂×#14524037	C₂²	1	2	yes	complemented
45	C₂×#14524032	C₂²	1	2	yes	complemented
46	C₂×#14524031	C₂²	1	2	yes	complemented
47	C₂×#14524029	C₂²	1	2	yes	complemented
48	C₂×#14524029	C₂²	1	2	yes	complemented
49	#16863907	C₂²	1	16	yes	complemented
50	#16863902	C₂²	1	32	yes	complemented
51	C₂×#14524028	C₂²	1	2	yes	complemented
52	C₂×#14524028	C₂²	1	2	yes	complemented
53	C₂×#14524028	C₂²	1	2	yes	complemented
54	C₂×#14524027	C₂²	1	2	yes	complemented
55	C₂×#14524027	C₂²	1	2	yes	complemented
56	C₂×#14524026	C₂²	1	2	yes	complemented
57	C₂×#14524026	C₂²	1	2	yes	complemented
58	C₂×#14524025	C₂²	1	2	yes	complemented
59	C₂×#14524024	C₂²	1	2	yes	complemented
60	C₂×#14524023	C₂²	1	2	yes	complemented
61	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
62	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
63	C₂×#14524021	C₂²	1	2	yes	complemented
64	C₂×#14524021	C₂²	1	2	yes	complemented
65	C₂×#14524020	C₂²	1	2	yes	complemented
66	C₂×#14524020	C₂²	1	2	yes	complemented
67	C₂×#14524019	C₂²	1	2	yes	complemented
68	C₂×#14524018	C₂²	1	2	yes	complemented
69	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
70	C₂×#14524017	C₂²	1	1	yes	characteristic, complemented
71	C₂×#14524017	C₂²	1	2	yes	complemented
72	C₂×#14524016	C₂²	1	2	yes	complemented
73	C₂×#14524015	C₂²	1	2	yes	complemented
74	C₂×#14524015	C₂²	1	2	yes	complemented
75	C₂×#14524015	C₂²	1	2	yes	complemented
76	C₂×#14524013	C₂²	1	2	yes	—
77	C₂×#14524013	C₂²	1	2	yes	—
78	C₂×#14524013	C₂²	1	2	yes	complemented
79	C₂×#14524013	C₂²	1	2	yes	complemented
80	C₂×#14524012	C₂²	1	2	yes	complemented
81	C₂×#14524011	C₂²	1	2	yes	—
82	C₂×#14524011	C₂²	1	2	yes	—
83	C₂×#14524011	C₂²	1	2	yes	complemented
84	C₂×#14524011	C₂²	1	2	yes	complemented
85	#120×D₆₇	C₂²	1	32	yes	complemented
86	#16863868	C₂²	1	32	yes	complemented
87	C₂×C₄×D₂₆₈	C₂²	1	2	yes	complemented
88	C₂×D₄×Dic₆₇	C₂²	1	2	yes	complemented
89	C₂×D₄×Dic₆₇	C₂²	1	2	yes	complemented
90	C₂×#14524005	C₂²	1	2	yes	complemented
91	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
92	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
93	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
94	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
95	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
96	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
97	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
98	C₂×#14524001	C₂²	1	2	yes	complemented
99	C₂×#14524000	C₂²	1	2	yes	complemented
100	C₂×#14523999	C₂²	1	2	yes	complemented
101	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
102	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic
103	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	complemented
104	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	complemented
105	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	complemented
106	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	complemented
107	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
108	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	1	yes	characteristic, complemented
109	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	16	yes	complemented
110	C₂²×(C₂×D₆₇)⋊C₄	C₂²	1	2	yes	complemented
111	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	—
112	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
113	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
114	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
115	C₂²×#41×C₆₇	C₂²	1	1	yes	characteristic, complemented
116	C₂⁴×C₄×C₆₇	C₂²	1	1	yes	characteristic, complemented
117	#525×C₆₇	C₂²	1	16	yes	complemented
118	C₂×#123×C₆₇	C₂²	1	2	yes	complemented
119	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
121	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
122	C₂×#121×C₆₇	C₂²	1	1	yes	characteristic, complemented
123	C₂×#120×C₆₇	C₂²	1	2	yes	complemented
124	C₂×C₄×D₄×C₆₇	C₂²	1	2	yes	complemented
125	C₂×C₄×D₄×C₆₇	C₂²	1	2	yes	complemented
126	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₆₇	—	2	8	no	—
128	C₂⁴×D₆₇	—	4	4	no	—
129	C₂⁴×D₆₇	—	4	4	no	—
130	C₂⁴×D₆₇	C₂³	1	2	yes	—
131	C₂⁴×D₆₇	C₂³	1	2	yes	—
132	C₂⁴×D₆₇	C₂³	1	2	yes	—
133	C₂⁴×D₆₇	C₂³	1	8	yes	—
134	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
135	C₂⁴×D₆₇	C₂³	1	1	yes	characteristic
136	C₂×#11761628	—	4	4	no	—
137	C₂×#11761628	C₂³	1	8	yes	complemented
138	C₂×#11761627	—	4	8	no	—
139	C₂×#11761627	C₂³	1	16	yes	complemented
140	C₂²×Dic₁₃₄	C₂³	1	2	yes	complemented
141	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic, complemented
142	C₂²×D₂₆₈	C₂³	1	2	yes	—
143	C₂²×D₂₆₈	C₂³	1	2	yes	—
144	C₂²×D₂₆₈	C₂³	1	2	yes	—
145	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic, complemented
146	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
147	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
149	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
150	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
151	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
152	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	complemented
153	C₂×D₄×D₆₇	—	2	16	no	—
154	C₂×D₄×D₆₇	—	4	8	no	—
155	C₂×D₄×D₆₇	—	4	8	no	—
156	C₂×D₄×D₆₇	C₂³	1	16	yes	—
157	C₂×D₄×D₆₇	C₂³	1	16	yes	complemented
158	C₂×D₄×D₆₇	C₂³	1	16	yes	complemented
159	C₂³×Dic₆₇	—	4	4	no	—
160	C₂³×Dic₆₇	C₂³	1	2	yes	—
161	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
162	C₂³×Dic₆₇	C₂³	1	1	yes	characteristic
163	C₂³×Dic₆₇	C₂³	1	2	yes	—
164	C₂³×Dic₆₇	C₂³	1	8	yes	complemented
165	C₂³×Dic₆₇	C₂³	1	2	yes	complemented
166	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
167	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
168	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
169	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
170	C₂²×C₄×D₆₇	C₂³	1	2	yes	complemented
171	#14524038	C₂³	1	16	yes	complemented
172	#14524038	C₂³	1	16	yes	complemented
173	#14524038	C₂³	1	16	yes	complemented
174	#14524037	C₂³	1	16	yes	complemented
175	#14524032	C₂³	1	16	yes	complemented
176	#14524031	C₂³	1	16	yes	complemented
177	#14524029	C₂³	1	16	yes	complemented
178	#14524029	C₂³	1	16	yes	complemented
179	#14524028	C₂³	1	16	yes	complemented
180	#14524028	C₂³	1	16	yes	complemented
181	#14524028	C₂³	1	16	yes	complemented
182	#14524027	C₂³	1	16	yes	complemented
183	#14524027	C₂³	1	16	yes	complemented
184	#14524026	C₂³	1	16	yes	complemented
185	#14524026	C₂³	1	16	yes	complemented
186	#14524025	C₂³	1	16	yes	complemented
187	#14524024	C₂³	1	16	yes	complemented
188	#14524023	C₂³	1	16	yes	complemented
189	#14524022	C₂³	1	8	yes	complemented
190	#14524022	C₂³	1	8	yes	complemented
191	#14524021	C₂³	1	16	yes	complemented
192	#14524021	C₂³	1	16	yes	complemented
193	#14524020	C₂³	1	16	yes	complemented
194	#14524020	C₂³	1	16	yes	complemented
195	#14524019	C₂³	1	16	yes	complemented
196	#14524018	C₂³	1	16	yes	complemented
197	#14524017	C₂³	1	8	yes	complemented
198	#14524017	C₂³	1	8	yes	complemented
199	#14524017	C₂³	1	16	yes	complemented
200	#14524016	C₂³	1	16	yes	complemented
201	#14524015	C₂³	1	16	yes	complemented
202	#14524015	C₂³	1	16	yes	complemented
203	#14524015	C₂³	1	16	yes	complemented
204	#14524013	C₂³	1	16	yes	—
205	#14524013	C₂³	1	16	yes	—
206	#14524013	C₂³	1	16	yes	complemented
207	#14524013	C₂³	1	16	yes	complemented
208	#14524012	C₂³	1	16	yes	complemented
209	#14524011	C₂³	1	16	yes	—
210	#14524011	C₂³	1	16	yes	—
211	#14524011	C₂³	1	16	yes	complemented
212	#14524011	C₂³	1	16	yes	complemented
213	C₄×D₂₆₈	C₂³	1	16	yes	complemented
214	D₄×Dic₆₇	C₂³	1	16	yes	complemented
215	D₄×Dic₆₇	C₂³	1	16	yes	complemented
216	#14524005	C₂³	1	16	yes	complemented
217	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
218	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
219	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
220	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
221	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
222	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
223	#14524002	C₂³	1	8	yes	complemented
224	#14524001	C₂³	1	16	yes	complemented
225	#14524000	C₂³	1	16	yes	complemented
226	#14523999	C₂³	1	16	yes	complemented
227	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
228	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
229	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic, complemented
230	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	complemented
231	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
232	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
233	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
234	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
235	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
236	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	complemented
237	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
240	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
241	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	complemented
242	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
243	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
244	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
245	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
246	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
247	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
248	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
249	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
250	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
251	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	—
252	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
253	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
254	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
255	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
256	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
258	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	16	yes	complemented
259	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	16	yes	complemented
260	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	16	yes	complemented
261	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	16	yes	complemented
262	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	complemented
263	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	8	yes	complemented
264	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
265	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
266	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
267	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	complemented
268	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	16	yes	complemented
269	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	—
270	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
271	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
272	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
273	C₂×C₄×Dic₆₇	C₂³	1	2	yes	complemented
274	C₂×C₄×Dic₆₇	C₂³	1	2	yes	complemented
275	C₂×C₄×Dic₆₇	C₂³	1	2	yes	complemented
276	C₂⁵×C₆₇	C₂³	1	1	yes	characteristic
277	C₂×#41×C₆₇	—	4	4	no	—
278	C₂×#41×C₆₇	C₂³	1	8	yes	complemented
279	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic, complemented
280	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
281	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
282	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
283	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
284	C₂³×C₄×C₆₇	—	4	4	no	—
285	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
287	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
288	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
289	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
290	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
291	C₂³×C₄×C₆₇	C₂³	1	8	yes	complemented
292	C₂³×C₄×C₆₇	C₂³	1	2	yes	complemented
293	#123×C₆₇	C₂³	1	16	yes	complemented
294	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
295	C₂²⋊Q₈×C₆₇	C₂³	1	8	yes	complemented
296	#121×C₆₇	C₂³	1	8	yes	complemented
297	#121×C₆₇	C₂³	1	8	yes	complemented
298	#120×C₆₇	C₂³	1	16	yes	complemented
299	C₄×D₄×C₆₇	C₂³	1	16	yes	complemented
300	C₄×D₄×C₆₇	C₂³	1	16	yes	complemented
301	#117×C₆₇	C₂³	1	8	yes	complemented
302	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
303	C₂×C₄⋊C₄×C₆₇	C₂³	1	1	yes	characteristic, complemented
304	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
305	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	complemented
306	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
307	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
308	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
309	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
310	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	complemented
311	C₂×C₄²×C₆₇	C₂³	1	2	yes	complemented
312	C₂³×D₆₇	—	2	4	no	—
313	C₂³×D₆₇	—	2	8	no	—
314	C₂³×D₆₇	—	2	8	no	—
315	C₂³×D₆₇	—	2	8	no	—
316	C₂³×D₆₇	—	2	8	no	—
317	C₂³×D₆₇	—	2	32	no	—
318	C₂³×D₆₇	—	2	8	no	—
319	C₂³×D₆₇	—	4	2	no	—
320	C₂³×D₆₇	—	4	2	no	—
321	C₂³×D₆₇	—	4	4	no	—
322	C₂³×D₆₇	—	4	4	no	—
323	C₂³×D₆₇	—	4	16	no	—
324	C₂³×D₆₇	—	4	16	no	—
325	C₂³×D₆₇	—	4	2	no	—
326	C₂³×D₆₇	—	4	2	no	—
327	C₂³×D₆₇	—	4	4	no	—
328	C₂³×D₆₇	—	4	4	no	—
329	C₂³×D₆₇	—	4	64	no	—
330	C₂³×D₆₇	#41	1	8	yes	complemented
331	C₂³×D₆₇	C₂⁴	1	2	yes	—
332	C₂³×D₆₇	C₂⁴	1	2	yes	—
333	C₂³×D₆₇	C₂⁴	1	8	yes	—
334	C₂³×D₆₇	C₂⁴	1	8	yes	—
335	C₂³×D₆₇	C₂⁴	1	2	yes	—
336	C₂³×D₆₇	C₂⁴	1	8	yes	—
337	C₂³×D₆₇	C₂⁴	1	4	yes	—
338	C₂³×D₆₇	C₂⁴	1	4	yes	—
339	#11761628	—	4	16	no	—
340	#11761627	—	4	32	no	—
341	C₂×Dic₁₃₄	—	4	4	no	—
342	C₂×Dic₁₃₄	—	4	2	no	—
343	C₂×Dic₁₃₄	C₂⁴	1	8	yes	complemented
344	C₂×Dic₁₃₄	C₂⁴	1	4	yes	complemented
345	C₂×D₂₆₈	—	2	8	no	—
346	C₂×D₂₆₈	—	4	4	no	—
347	C₂×D₂₆₈	—	4	4	no	—
348	C₂×D₂₆₈	—	4	2	no	—
349	C₂×D₂₆₈	C₂⁴	1	8	yes	—
350	C₂×D₂₆₈	C₂⁴	1	8	yes	—
351	C₂×D₂₆₈	C₂⁴	1	8	yes	—
352	C₂×D₂₆₈	C₂⁴	1	4	yes	complemented
353	C₂×C₂²⋊D₆₇	—	2	8	no	—
354	C₂×C₂²⋊D₆₇	—	2	8	no	—
355	C₂×C₂²⋊D₆₇	—	2	8	no	—
356	C₂×C₂²⋊D₆₇	—	2	8	no	—
357	C₂×C₂²⋊D₆₇	—	4	4	no	—
358	C₂×C₂²⋊D₆₇	—	4	4	no	—
359	C₂×C₂²⋊D₆₇	—	4	4	no	—
360	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
361	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
362	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
363	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
364	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
365	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
366	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	complemented
367	D₄×D₆₇	—	2	64	no	—
368	D₄×D₆₇	—	4	32	no	—
369	D₄×D₆₇	—	4	32	no	—
370	C₂²×Dic₆₇	—	2	8	no	—
371	C₂²×Dic₆₇	—	4	2	no	—
372	C₂²×Dic₆₇	—	4	4	no	—
373	C₂²×Dic₆₇	—	4	2	no	—
374	C₂²×Dic₆₇	—	4	16	no	—
375	C₂²×Dic₆₇	—	4	4	no	—
376	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
377	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
378	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
379	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
380	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
381	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
382	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
383	C₂²×Dic₆₇	C₂⁴	1	4	yes	—
384	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
385	C₂²×Dic₆₇	C₂⁴	1	8	yes	complemented
386	C₂×C₄×D₆₇	—	2	8	no	—
387	C₂×C₄×D₆₇	—	4	4	no	—
388	C₂×C₄×D₆₇	—	4	4	no	—
389	C₂×C₄×D₆₇	—	4	4	no	—
390	C₂×C₄×D₆₇	—	4	4	no	—
391	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
392	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
393	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
394	C₂×C₄×D₆₇	C₂⁴	1	8	yes	complemented
395	C₂×C₄×D₆₇	C₂⁴	1	8	yes	complemented
396	C₄⋊Dic₆₇	C₂⁴	1	8	yes	complemented
397	C₄⋊Dic₆₇	C₂⁴	1	4	yes	complemented
398	C₄⋊Dic₆₇	C₂⁴	1	4	yes	complemented
399	C₄⋊Dic₆₇	C₂⁴	1	8	yes	complemented
400	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
401	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
402	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
403	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
404	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
405	Dic₆₇⋊C₄	C₂⁴	1	8	yes	complemented
406	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
407	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
408	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
409	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	complemented
410	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	complemented
411	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
412	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
413	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
414	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
415	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
416	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
417	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
418	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
419	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
420	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
421	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
422	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
423	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
424	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
425	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	complemented
426	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	complemented
427	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	complemented
428	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	complemented
429	C₄×Dic₆₇	C₂⁴	1	8	yes	complemented
430	C₄×Dic₆₇	C₂⁴	1	8	yes	complemented
431	C₄×Dic₆₇	C₂⁴	1	8	yes	complemented
432	C₂⁴×C₆₇	—	2	4	no	—
433	C₂⁴×C₆₇	—	2	4	no	—
434	C₂⁴×C₆₇	—	2	4	no	—
435	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
436	C₂⁴×C₆₇	C₂⁴	1	4	yes	—
437	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
438	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
439	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
440	#41×C₆₇	—	4	16	no	—
441	C₂×Q₈×C₆₇	—	4	2	no	—
442	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	complemented
443	C₂×D₄×C₆₇	—	2	8	no	—
444	C₂×D₄×C₆₇	—	2	8	no	—
445	C₂×D₄×C₆₇	—	2	8	no	—
446	C₂×D₄×C₆₇	—	4	2	no	—
447	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
448	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
449	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
450	C₂×D₄×C₆₇	C₂⁴	1	4	yes	complemented
451	C₂²×C₄×C₆₇	—	2	4	no	—
452	C₂²×C₄×C₆₇	—	2	4	no	—
453	C₂²×C₄×C₆₇	—	4	2	no	—
454	C₂²×C₄×C₆₇	—	4	2	no	—
455	C₂²×C₄×C₆₇	—	4	2	no	—
456	C₂²×C₄×C₆₇	—	4	2	no	—
457	C₂²×C₄×C₆₇	—	4	16	no	—
458	C₂²×C₄×C₆₇	—	4	4	no	—
459	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
461	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
462	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
463	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
467	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
468	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
469	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
470	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
471	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
472	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	complemented
473	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	complemented
474	C₄⋊C₄×C₆₇	C₂⁴	1	4	yes	complemented
475	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	complemented
476	C₄⋊C₄×C₆₇	C₂⁴	1	8	yes	complemented
477	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
478	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
479	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
480	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	complemented
481	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	complemented
482	C₄²×C₆₇	C₂⁴	1	8	yes	complemented
483	C₂³×C₆₇	—	2	32	no	—
484	C₂³×C₆₇	—	2	8	no	—
485	C₂³×C₆₇	—	2	2	no	—
486	C₂³×C₆₇	—	2	2	no	—
487	C₂³×C₆₇	—	2	8	no	—
488	C₂³×C₆₇	—	2	2	no	—
489	C₂³×C₆₇	—	2	2	no	—
490	C₂³×C₆₇	—	2	8	no	—
491	C₂³×C₆₇	—	2	2	no	—
492	C₂³×C₆₇	—	2	2	no	—
493	C₂³×C₆₇	—	2	4	no	—
494	C₂³×C₆₇	—	2	4	no	—
495	C₂³×C₆₇	—	2	4	no	—
496	C₂³×C₆₇	C₂×#41	1	4	yes	—
497	C₂³×C₆₇	H(5,𝔽₂)	1	4	yes	—
498	C₂³×C₆₇	H(5,𝔽₂)	1	4	yes	—
499	C₂³×C₆₇	C₂⁵	1	4	yes	—
500	C₂³×C₆₇	C₂⁵	1	2	yes	—
501	C₂³×C₆₇	C₂⁵	1	2	yes	—
502	C₂³×C₆₇	C₂⁵	1	2	yes	—
503	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
504	C₂²×D₆₇	—	2	4	no	—
505	C₂²×D₆₇	—	2	4	no	—
506	C₂²×D₆₇	—	2	4	no	—
507	C₂²×D₆₇	—	2	8	no	—
508	C₂²×D₆₇	—	2	4	no	—
509	C₂²×D₆₇	—	2	4	no	—
510	C₂²×D₆₇	—	2	4	no	—
511	C₂²×D₆₇	—	2	16	no	—
512	C₂²×D₆₇	—	2	16	no	—
513	C₂²×D₆₇	—	2	4	no	—
514	C₂²×D₆₇	—	2	4	no	—
515	C₂²×D₆₇	—	2	16	no	—
516	C₂²×D₆₇	—	2	16	no	—
517	C₂²×D₆₇	—	2	16	no	—
518	C₂²×D₆₇	—	4	16	no	—
519	C₂²×D₆₇	—	4	4	no	—
520	C₂²×D₆₇	—	4	4	no	—
521	C₂²×D₆₇	—	4	8	no	—
522	C₂²×D₆₇	—	4	8	no	—
523	C₂²×D₆₇	—	4	4	no	—
524	C₂²×D₆₇	—	4	4	no	—
525	C₂²×D₆₇	—	4	8	no	—
526	C₂²×D₆₇	—	4	8	no	—
527	C₂²×D₆₇	—	4	32	no	—
528	C₂²×D₆₇	—	4	32	no	—
529	C₂²×D₆₇	—	4	128	no	—
530	C₂²×D₆₇	—	4	16	no	—
531	C₂²×D₆₇	—	8	16	no	—
532	C₂²×D₆₇	C₂×#41	1	8	yes	—
533	C₂²×D₆₇	C₂×#41	1	16	yes	complemented
534	C₂²×D₆₇	C₂⁵	1	4	yes	—
535	C₂²×D₆₇	C₂⁵	1	4	yes	—
536	C₂²×D₆₇	C₂⁵	1	4	yes	—
537	Q₈×C₆₇	—	4	4	no	—
538	D₄×C₆₇	—	2	16	no	—
539	D₄×C₆₇	—	2	16	no	—
540	D₄×C₆₇	—	2	16	no	—
541	D₄×C₆₇	—	4	4	no	—
542	C₂×C₄×C₆₇	—	2	4	no	—
543	C₂×C₄×C₆₇	—	2	2	no	—
544	C₂×C₄×C₆₇	—	2	2	no	—
545	C₂×C₄×C₆₇	—	2	8	no	—
546	C₂×C₄×C₆₇	—	2	2	no	—
547	C₂×C₄×C₆₇	—	2	2	no	—
548	C₂×C₄×C₆₇	—	2	8	no	—
549	C₂×C₄×C₆₇	—	2	4	no	—
550	C₂×C₄×C₆₇	—	2	4	no	—
551	C₂×C₄×C₆₇	—	4	4	no	—
552	C₂×C₄×C₆₇	—	4	4	no	—
553	C₂×C₄×C₆₇	—	4	4	no	—
554	C₂×C₄×C₆₇	—	4	4	no	—
555	C₂×C₄×C₆₇	—	4	8	no	—
556	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
557	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
558	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
559	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
560	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
561	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
562	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
563	C₂²⋊D₆₇	—	2	16	no	—
564	C₂²⋊D₆₇	—	2	16	no	—
565	C₂²⋊D₆₇	—	2	16	no	—
566	C₂²⋊D₆₇	—	2	16	no	—
567	C₂²⋊D₆₇	—	4	8	no	—
568	C₂²⋊D₆₇	—	4	8	no	—
569	C₂²⋊D₆₇	—	4	8	no	—
570	C₂×Dic₆₇	—	2	4	no	—
571	C₂×Dic₆₇	—	2	4	no	—
572	C₂×Dic₆₇	—	2	4	no	—
573	C₂×Dic₆₇	—	2	4	no	—
574	C₂×Dic₆₇	—	2	4	no	—
575	C₂×Dic₆₇	—	2	16	no	—
576	C₂×Dic₆₇	—	4	4	no	—
577	C₂×Dic₆₇	—	4	8	no	—
578	C₂×Dic₆₇	—	4	4	no	—
579	C₂×Dic₆₇	—	4	8	no	—
580	C₂×Dic₆₇	C₂⁵	1	4	yes	—
581	C₂×Dic₆₇	C₂⁵	1	4	yes	—
582	C₂×Dic₆₇	C₂⁵	1	4	yes	—
583	C₂×Dic₆₇	C₂⁵	1	4	yes	—
584	C₂×Dic₆₇	C₂⁵	1	4	yes	—
585	D₂₆₈	—	2	16	no	—
586	D₂₆₈	—	4	8	no	—
587	D₂₆₈	—	4	8	no	—
588	D₂₆₈	—	4	4	no	—
589	C₄×D₆₇	—	2	16	no	—
590	C₄×D₆₇	—	4	8	no	—
591	C₄×D₆₇	—	4	8	no	—
592	C₄×D₆₇	—	4	8	no	—
593	C₄×D₆₇	—	4	8	no	—
594	Dic₁₃₄	—	4	8	no	—
595	Dic₁₃₄	—	4	4	no	—
596	C₂²×C₆₇	—	2	32	no	—
597	C₂²×C₆₇	—	2	2	no	—
598	C₂²×C₆₇	—	2	2	no	—
599	C₂²×C₆₇	—	2	2	no	—
600	C₂²×C₆₇	—	2	2	no	—
601	C₂²×C₆₇	—	2	2	no	—
602	C₂²×C₆₇	—	2	2	no	—
603	C₂²×C₆₇	—	2	8	no	—
604	C₂²×C₆₇	—	2	8	no	—
605	C₂²×C₆₇	—	2	8	no	—
606	C₂²×C₆₇	—	2	4	no	—
607	C₂²×C₆₇	—	2	4	no	—
608	C₂²×C₆₇	—	2	4	no	—
609	C₂²×C₆₇	—	4	8	no	—
610	C₂²×C₆₇	C₂²×#41	1	4	yes	—
611	C₂²×C₆₇	C₂²×#41	1	2	yes	—
612	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
613	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
614	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
615	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
616	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
617	C₂×D₆₇	—	2	4	no	—
618	C₂×D₆₇	—	2	4	no	—
619	C₂×D₆₇	—	2	16	no	—
620	C₂×D₆₇	—	2	4	no	—
621	C₂×D₆₇	—	2	4	no	—
622	C₂×D₆₇	—	2	4	no	—
623	C₂×D₆₇	—	2	4	no	—
624	C₂×D₆₇	—	2	4	no	—
625	C₂×D₆₇	—	2	4	no	—
626	C₂×D₆₇	—	4	16	no	—
627	C₂×D₆₇	—	4	32	no	—
628	C₂×D₆₇	—	4	32	no	—
629	C₂×D₆₇	—	4	16	no	—
630	C₂×D₆₇	—	4	8	no	—
631	C₂×D₆₇	—	4	8	no	—
632	C₂×D₆₇	—	8	16	no	—
633	C₂×D₆₇	C₂²×#41	1	8	yes	—
634	C₄×C₆₇	—	2	4	no	—
635	C₄×C₆₇	—	2	4	no	—
636	C₄×C₆₇	—	2	2	no	—
637	C₄×C₆₇	—	2	2	no	—
638	C₄×C₆₇	—	2	4	no	—
639	C₄×C₆₇	—	2	2	no	—
640	C₄×C₆₇	—	2	2	no	—
641	Dic₆₇	—	2	4	no	—
642	Dic₆₇	—	2	4	no	—
643	Dic₆₇	—	2	4	no	—
644	Dic₆₇	—	2	4	no	—
645	Dic₆₇	—	2	4	no	—
646	C₂×#3490	—	67	1	no	maximal, Sylow
647	C₂×C₆₇	—	2	4	no	—
648	C₂×C₆₇	—	2	4	no	—
649	C₂×C₆₇	—	2	4	no	—
650	C₂×C₆₇	—	4	4	no	—
651	C₂×C₆₇	#3490	1	4	yes	complemented
652	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
653	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
654	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
655	D₆₇	—	2	8	no	—
656	D₆₇	—	4	4	no	—
657	D₆₇	—	4	4	no	—
658	#3490	—	67	32	no	—
659	C₂×#551	—	67	2	no	—
660	C₂×#551	—	67	2	no	—
661	C₂×#551	—	67	2	no	—
662	C₂×#551	—	67	2	no	—
663	C₂×#546	—	67	2	no	—
664	C₂×#546	—	67	2	no	—
665	C₂×#546	—	67	2	no	—
666	C₂×#546	—	67	2	no	—
667	C₂×#543	—	67	1	no	—
668	C₂×#538	—	67	1	no	—
669	C₂×#538	—	67	1	no	—
670	C₂×#538	—	67	2	no	—
671	C₂×#534	—	67	1	no	—
672	C₂×#525	—	67	1	no	—
673	C₂×#525	—	67	2	no	—
674	C₂×#525	D₆₇	1	1	yes	characteristic, complemented
675	C₂²×#120	—	67	2	no	—
676	C₂×#518	—	67	2	no	—
677	C₂³×C₂²⋊C₄	—	67	1	no	—
678	C₆₇	C₂×#3490	1	1	yes	characteristic, complemented, Sylow
679	C₂⁶	—	67	1	no	—
680	C₂²×#41	—	67	2	no	—
681	C₂²×#41	—	67	1	no	—
682	C₂²×#41	C₂×D₆₇	1	1	yes	characteristic, complemented
683	C₂³×D₄	—	67	2	no	—
684	C₂³×D₄	—	67	2	no	—
685	C₂³×D₄	—	67	2	no	—
686	C₂⁴×C₄	—	67	1	no	—
687	C₂⁴×C₄	C₂×D₆₇	1	1	yes	characteristic, complemented
688	#551	—	67	32	no	—
689	#551	—	67	32	no	—
690	#551	—	67	32	no	—
691	#551	—	67	32	no	—
692	#546	—	67	32	no	—
693	#546	—	67	32	no	—
694	#546	—	67	32	no	—
695	#546	—	67	32	no	—
696	#543	—	67	16	no	—
697	#538	—	67	16	no	—
698	#538	—	67	16	no	—
699	#538	—	67	32	no	—
700	#534	—	67	16	no	—
701	C₂×#126	—	67	2	no	—
702	C₂×#126	—	67	2	no	—
703	C₂×#126	—	67	2	no	—
704	C₂×#126	—	67	2	no	—
705	C₂×#124	—	67	2	no	—
706	C₂×#124	—	67	2	no	—
707	C₂×#124	—	67	2	no	—
708	C₂×#124	—	67	2	no	—
709	#525	—	67	16	no	—
710	#525	—	67	32	no	—
711	#525	C₂×D₆₇	1	16	yes	complemented
712	C₂×#123	—	67	2	no	—
713	C₂×#123	—	67	2	no	—
714	C₂×#123	—	67	2	no	—
715	C₂×#123	—	67	2	no	—
716	C₂×#123	—	67	2	no	—
717	C₂×#123	—	67	2	no	—
718	C₂×#123	—	67	2	no	—
719	C₂×#123	—	67	2	no	—
720	C₂×#123	—	67	2	no	—
721	C₂×#123	C₂×D₆₇	1	2	yes	complemented
722	C₂×C₂²⋊Q₈	—	67	2	no	—
723	C₂×C₂²⋊Q₈	—	67	1	no	—
724	C₂×C₂²⋊Q₈	—	67	1	no	—
725	C₂×C₂²⋊Q₈	—	67	2	no	—
726	C₂×C₂²⋊Q₈	—	67	2	no	—
727	C₂×C₂²⋊Q₈	—	67	2	no	—
728	C₂×C₂²⋊Q₈	—	67	2	no	—
729	C₂×C₂²⋊Q₈	—	67	2	no	—
730	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
731	C₂×C₂²⋊Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
732	C₂×#121	—	67	2	no	—
733	C₂×#121	—	67	2	no	—
734	C₂×#121	—	67	2	no	—
735	C₂×#121	—	67	1	no	—
736	C₂×#121	—	67	1	no	—
737	C₂×#121	—	67	2	no	—
738	C₂×#121	—	67	2	no	—
739	C₂×#121	—	67	2	no	—
740	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
741	C₂×#121	C₂×D₆₇	1	1	yes	characteristic, complemented
742	C₂×#120	—	67	2	no	—
743	C₂×#120	—	67	2	no	—
744	C₂×#120	—	67	2	no	—
745	C₂×#120	—	67	2	no	—
746	C₂×#120	—	67	2	no	—
747	C₂×#120	—	67	32	no	—
748	C₂×#120	—	67	2	no	—
749	C₂×#120	—	67	2	no	—
750	C₂×#120	—	67	2	no	—
751	C₂×#120	—	67	2	no	—
752	C₂×#120	C₂×D₆₇	1	2	yes	complemented
753	#518	—	67	32	no	—
754	C₂×C₄×D₄	—	67	2	no	—
755	C₂×C₄×D₄	—	67	2	no	—
756	C₂×C₄×D₄	—	67	2	no	—
757	C₂×C₄×D₄	—	67	2	no	—
758	C₂×C₄×D₄	—	67	2	no	—
759	C₂×C₄×D₄	—	67	2	no	—
760	C₂×C₄×D₄	—	67	2	no	—
761	C₂×C₄×D₄	—	67	2	no	—
762	C₂×C₄×D₄	—	67	2	no	—
763	C₂×C₄×D₄	—	67	2	no	—
764	C₂×C₄×D₄	C₂×D₆₇	1	2	yes	complemented
765	C₂×C₄×D₄	C₂×D₆₇	1	2	yes	complemented
766	C₂×#117	—	67	1	no	—
767	C₂×#117	—	67	2	no	—
768	C₂×#117	—	67	2	no	—
769	C₂×#117	—	67	2	no	—
770	C₂×#117	C₂×D₆₇	1	1	yes	characteristic, complemented
771	C₂²×C₂²⋊C₄	—	67	1	no	—
772	C₂²×C₂²⋊C₄	—	67	1	no	—
773	C₂²×C₂²⋊C₄	—	67	1	no	—
774	C₂²×C₂²⋊C₄	—	67	1	no	—
775	C₂²×C₂²⋊C₄	—	67	2	no	—
776	C₂²×C₂²⋊C₄	—	67	2	no	—
777	C₂²×C₂²⋊C₄	—	67	2	no	—
778	C₂²×C₂²⋊C₄	—	67	2	no	—
779	C₂²×C₂²⋊C₄	—	67	16	no	—
780	C₂²×C₂²⋊C₄	—	67	2	no	—
781	C₂²×C₂²⋊C₄	—	67	2	no	—
782	C₂²×C₂²⋊C₄	—	67	2	no	—
783	C₂²×C₂²⋊C₄	—	67	2	no	—
784	C₂²×C₂²⋊C₄	—	67	2	no	—
785	C₂⁵	—	268	4	no	—
786	C₂⁵	—	268	4	no	—
787	C₂⁵	—	67	1	no	—
788	C₂⁵	—	67	8	no	—
789	C₂⁵	—	67	1	no	—
790	C₂⁵	—	67	2	no	—
791	C₂⁵	—	67	2	no	—
792	C₂⁵	—	67	2	no	—
793	C₂⁵	—	134	8	no	—
794	C₂⁵	C₂²×D₆₇	1	1	yes	characteristic
795	C₂×#41	—	4	4	no	—
796	C₂×#41	—	268	4	no	—
797	C₂×#41	—	268	8	no	—
798	C₂×#41	—	67	16	no	—
799	C₂×#41	—	67	8	no	—
800	C₂×#41	C₂²×D₆₇	1	8	yes	complemented
801	C₂²×Q₈	—	67	1	no	—
802	C₂²×Q₈	—	67	2	no	—
803	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic, complemented
804	C₂²×D₄	—	268	8	no	—
805	C₂²×D₄	—	268	8	no	—
806	C₂²×D₄	—	67	2	no	—
807	C₂²×D₄	—	67	2	no	—
808	C₂²×D₄	—	67	2	no	—
809	C₂²×D₄	—	67	16	no	—
810	C₂²×D₄	—	67	16	no	—
811	C₂²×D₄	—	67	2	no	—
812	C₂²×D₄	—	67	2	no	—
813	C₂²×D₄	—	67	2	no	—
814	C₂²×D₄	—	67	2	no	—
815	C₂²×D₄	—	67	16	no	—
816	C₂²×D₄	—	67	1	no	—
817	C₂²×D₄	—	67	2	no	—
818	C₂²×D₄	—	67	2	no	—
819	C₂²×D₄	—	67	2	no	—
820	C₂²×D₄	—	134	16	no	—
821	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
822	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
823	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
824	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
825	C₂³×C₄	—	4	4	no	—
826	C₂³×C₄	—	268	4	no	—
827	C₂³×C₄	—	67	1	no	—
828	C₂³×C₄	—	67	2	no	—
829	C₂³×C₄	—	67	1	no	—
830	C₂³×C₄	—	67	8	no	—
831	C₂³×C₄	—	67	2	no	—
832	C₂³×C₄	—	67	2	no	—
833	C₂³×C₄	—	67	2	no	—
834	C₂³×C₄	—	67	2	no	—
835	C₂³×C₄	—	67	2	no	—
836	C₂³×C₄	—	67	2	no	—
837	C₂³×C₄	—	67	2	no	—
838	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
839	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
840	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
841	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
842	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
843	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
844	C₂³×C₄	C₂²×D₆₇	1	8	yes	complemented
845	C₂³×C₄	C₂²×D₆₇	1	2	yes	complemented
846	#126	—	67	16	no	—
847	#126	—	67	16	no	—
848	#126	—	67	16	no	—
849	#126	—	67	16	no	—
850	#124	—	67	16	no	—
851	#124	—	67	16	no	—
852	#124	—	67	16	no	—
853	#124	—	67	16	no	—
854	#123	—	67	16	no	—
855	#123	—	67	16	no	—
856	#123	—	67	16	no	—
857	#123	—	67	16	no	—
858	#123	—	67	16	no	—
859	#123	—	67	16	no	—
860	#123	—	67	16	no	—
861	#123	—	67	16	no	—
862	#123	—	67	16	no	—
863	#123	C₂²×D₆₇	1	16	yes	complemented
864	C₂²⋊Q₈	—	67	16	no	—
865	C₂²⋊Q₈	—	67	8	no	—
866	C₂²⋊Q₈	—	67	8	no	—
867	C₂²⋊Q₈	—	67	16	no	—
868	C₂²⋊Q₈	—	67	16	no	—
869	C₂²⋊Q₈	—	67	16	no	—
870	C₂²⋊Q₈	—	67	16	no	—
871	C₂²⋊Q₈	—	67	16	no	—
872	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
873	C₂²⋊Q₈	C₂²×D₆₇	1	8	yes	complemented
874	#121	—	67	16	no	—
875	#121	—	67	16	no	—
876	#121	—	67	16	no	—
877	#121	—	67	8	no	—
878	#121	—	67	8	no	—
879	#121	—	67	16	no	—
880	#121	—	67	16	no	—
881	#121	—	67	16	no	—
882	#121	C₂²×D₆₇	1	8	yes	complemented
883	#121	C₂²×D₆₇	1	8	yes	complemented
884	#120	—	67	16	no	—
885	#120	—	67	16	no	—
886	#120	—	67	16	no	—
887	#120	—	67	16	no	—
888	#120	—	67	16	no	—
889	#120	—	67	16	no	—
890	#120	—	67	16	no	—
891	#120	—	67	16	no	—
892	#120	—	67	16	no	—
893	#120	C₂²×D₆₇	1	16	yes	complemented
894	C₄×D₄	—	67	16	no	—
895	C₄×D₄	—	67	16	no	—
896	C₄×D₄	—	67	16	no	—
897	C₄×D₄	—	67	16	no	—
898	C₄×D₄	—	67	16	no	—
899	C₄×D₄	—	67	16	no	—
900	C₄×D₄	—	67	16	no	—
901	C₄×D₄	—	67	16	no	—
902	C₄×D₄	—	67	16	no	—
903	C₄×D₄	—	67	16	no	—
904	C₄×D₄	C₂²×D₆₇	1	16	yes	complemented
905	C₄×D₄	C₂²×D₆₇	1	16	yes	complemented
906	#117	—	67	8	no	—
907	#117	—	67	16	no	—
908	#117	—	67	16	no	—
909	#117	—	67	16	no	—
910	#117	C₂²×D₆₇	1	8	yes	complemented
911	C₂×C₄⋊C₄	—	67	2	no	—
912	C₂×C₄⋊C₄	—	67	2	no	—
913	C₂×C₄⋊C₄	—	67	2	no	—
914	C₂×C₄⋊C₄	—	67	2	no	—
915	C₂×C₄⋊C₄	—	67	1	no	—
916	C₂×C₄⋊C₄	—	67	2	no	—
917	C₂×C₄⋊C₄	—	67	1	no	—
918	C₂×C₄⋊C₄	—	67	2	no	—
919	C₂×C₄⋊C₄	—	67	2	no	—
920	C₂×C₄⋊C₄	—	67	2	no	—
921	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
922	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
923	C₂×C₄⋊C₄	C₂²×D₆₇	1	1	yes	characteristic, complemented
924	C₂×C₄⋊C₄	C₂²×D₆₇	1	2	yes	complemented
925	C₂×C₂²⋊C₄	—	67	2	no	—
926	C₂×C₂²⋊C₄	—	67	2	no	—
927	C₂×C₂²⋊C₄	—	67	2	no	—
928	C₂×C₂²⋊C₄	—	67	2	no	—
929	C₂×C₂²⋊C₄	—	67	2	no	—
930	C₂×C₂²⋊C₄	—	67	2	no	—
931	C₂×C₂²⋊C₄	—	67	2	no	—
932	C₂×C₂²⋊C₄	—	67	8	no	—
933	C₂×C₂²⋊C₄	—	67	2	no	—
934	C₂×C₂²⋊C₄	—	67	2	no	—
935	C₂×C₂²⋊C₄	—	67	2	no	—
936	C₂×C₂²⋊C₄	—	67	2	no	—
937	C₂×C₂²⋊C₄	—	67	2	no	—
938	C₂×C₂²⋊C₄	—	67	2	no	—
939	C₂×C₂²⋊C₄	—	67	8	no	—
940	C₂×C₂²⋊C₄	—	67	8	no	—
941	C₂×C₂²⋊C₄	—	67	8	no	—
942	C₂×C₂²⋊C₄	—	67	16	no	—
943	C₂×C₂²⋊C₄	—	67	16	no	—
944	C₂×C₂²⋊C₄	—	67	16	no	—
945	C₂×C₂²⋊C₄	—	67	16	no	—
946	C₂×C₂²⋊C₄	—	67	2	no	—
947	C₂×C₂²⋊C₄	—	67	2	no	—
948	C₂×C₂²⋊C₄	—	67	2	no	—
949	C₂×C₂²⋊C₄	—	67	2	no	—
950	C₂×C₂²⋊C₄	—	67	2	no	—
951	C₂×C₂²⋊C₄	—	67	2	no	—
952	C₂×C₂²⋊C₄	—	67	2	no	—
953	C₂×C₂²⋊C₄	—	67	2	no	—
954	C₂×C₂²⋊C₄	—	67	2	no	—
955	C₂×C₂²⋊C₄	—	67	2	no	—
956	C₂×C₂²⋊C₄	—	67	16	no	—
957	C₂×C₂²⋊C₄	—	67	16	no	—
958	C₂×C₂²⋊C₄	—	67	16	no	—
959	C₂×C₂²⋊C₄	—	67	16	no	—
960	C₂×C₂²⋊C₄	—	67	16	no	—
961	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
962	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
963	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
965	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	complemented
966	C₂×C₄²	—	67	2	no	—
967	C₂×C₄²	—	67	2	no	—
968	C₂×C₄²	—	67	2	no	—
969	C₂×C₄²	C₂²×D₆₇	1	2	yes	complemented
970	C₂⁴	—	2	4	no	—
971	C₂⁴	—	2	4	no	—
972	C₂⁴	—	2	4	no	—
973	C₂⁴	—	268	64	no	—
974	C₂⁴	—	268	16	no	—
975	C₂⁴	—	268	2	no	—
976	C₂⁴	—	268	4	no	—
977	C₂⁴	—	268	2	no	—
978	C₂⁴	—	268	16	no	—
979	C₂⁴	—	268	2	no	—
980	C₂⁴	—	268	4	no	—
981	C₂⁴	—	268	2	no	—
982	C₂⁴	—	268	4	no	—
983	C₂⁴	—	268	4	no	—
984	C₂⁴	—	67	8	no	—
985	C₂⁴	—	67	4	no	—
986	C₂⁴	—	67	4	no	—
987	C₂⁴	—	67	8	no	—
988	C₂⁴	—	67	8	no	—
989	C₂⁴	—	67	8	no	—
990	C₂⁴	—	67	2	no	—
991	C₂⁴	—	67	2	no	—
992	C₂⁴	—	67	2	no	—
993	C₂⁴	—	134	32	no	—
994	C₂⁴	—	134	8	no	—
995	C₂⁴	—	134	8	no	—
996	C₂⁴	—	134	8	no	—
997	C₂⁴	—	134	4	no	—
998	C₂⁴	—	134	8	no	—
999	C₂⁴	—	134	8	no	—
1000	C₂⁴	C₂³×D₆₇	1	4	yes	—
1001	C₂⁴	C₂³×D₆₇	1	2	yes	—
1002	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1003	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1004	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1005	#41	—	4	16	no	—
1006	#41	—	268	16	no	—
1007	#41	—	268	32	no	—
1008	C₂×Q₈	—	4	2	no	—
1009	C₂×Q₈	—	268	2	no	—
1010	C₂×Q₈	—	268	4	no	—
1011	C₂×Q₈	—	67	4	no	—
1012	C₂×Q₈	—	67	8	no	—
1013	C₂×Q₈	C₂³×D₆₇	1	4	yes	complemented
1014	C₂×D₄	—	2	8	no	—
1015	C₂×D₄	—	2	8	no	—
1016	C₂×D₄	—	2	8	no	—
1017	C₂×D₄	—	4	2	no	—
1018	C₂×D₄	—	268	4	no	—
1019	C₂×D₄	—	268	4	no	—
1020	C₂×D₄	—	268	2	no	—
1021	C₂×D₄	—	268	32	no	—
1022	C₂×D₄	—	268	32	no	—
1023	C₂×D₄	—	268	4	no	—
1024	C₂×D₄	—	268	4	no	—
1025	C₂×D₄	—	268	4	no	—
1026	C₂×D₄	—	67	8	no	—
1027	C₂×D₄	—	67	8	no	—
1028	C₂×D₄	—	67	8	no	—
1029	C₂×D₄	—	67	8	no	—
1030	C₂×D₄	—	67	8	no	—
1031	C₂×D₄	—	67	8	no	—
1032	C₂×D₄	—	67	8	no	—
1033	C₂×D₄	—	67	4	no	—
1034	C₂×D₄	—	67	8	no	—
1035	C₂×D₄	—	67	8	no	—
1036	C₂×D₄	—	67	8	no	—
1037	C₂×D₄	—	134	8	no	—
1038	C₂×D₄	—	134	64	no	—
1039	C₂×D₄	—	134	8	no	—
1040	C₂×D₄	—	134	8	no	—
1041	C₂×D₄	—	134	8	no	—
1042	C₂×D₄	—	134	8	no	—
1043	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1044	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1045	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1046	C₂×D₄	C₂³×D₆₇	1	4	yes	complemented
1047	C₂²×C₄	—	2	4	no	—
1048	C₂²×C₄	—	2	4	no	—
1049	C₂²×C₄	—	4	2	no	—
1050	C₂²×C₄	—	4	2	no	—
1051	C₂²×C₄	—	4	2	no	—
1052	C₂²×C₄	—	4	2	no	—
1053	C₂²×C₄	—	4	16	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	268	4	no	—
1056	C₂²×C₄	—	268	4	no	—
1057	C₂²×C₄	—	268	4	no	—
1058	C₂²×C₄	—	268	4	no	—
1059	C₂²×C₄	—	268	2	no	—
1060	C₂²×C₄	—	268	4	no	—
1061	C₂²×C₄	—	268	2	no	—
1062	C₂²×C₄	—	268	16	no	—
1063	C₂²×C₄	—	268	4	no	—
1064	C₂²×C₄	—	67	4	no	—
1065	C₂²×C₄	—	67	8	no	—
1066	C₂²×C₄	—	67	4	no	—
1067	C₂²×C₄	—	67	8	no	—
1068	C₂²×C₄	—	67	8	no	—
1069	C₂²×C₄	—	67	8	no	—
1070	C₂²×C₄	—	67	8	no	—
1071	C₂²×C₄	—	67	8	no	—
1072	C₂²×C₄	—	67	8	no	—
1073	C₂²×C₄	—	67	2	no	—
1074	C₂²×C₄	—	67	2	no	—
1075	C₂²×C₄	—	67	2	no	—
1076	C₂²×C₄	—	67	2	no	—
1077	C₂²×C₄	—	67	2	no	—
1078	C₂²×C₄	—	67	8	no	—
1079	C₂²×C₄	—	134	8	no	—
1080	C₂²×C₄	—	134	8	no	—
1081	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1082	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1083	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1085	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1086	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1088	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1091	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1092	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1093	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1094	C₂²×C₄	C₂³×D₆₇	1	8	yes	complemented
1095	C₄⋊C₄	—	67	8	no	—
1096	C₄⋊C₄	—	67	8	no	—
1097	C₄⋊C₄	—	67	8	no	—
1098	C₄⋊C₄	—	67	8	no	—
1099	C₄⋊C₄	—	67	4	no	—
1100	C₄⋊C₄	—	67	8	no	—
1101	C₄⋊C₄	—	67	4	no	—
1102	C₄⋊C₄	—	67	8	no	—
1103	C₄⋊C₄	—	67	8	no	—
1104	C₄⋊C₄	—	67	8	no	—
1105	C₄⋊C₄	C₂³×D₆₇	1	8	yes	complemented
1106	C₄⋊C₄	C₂³×D₆₇	1	4	yes	complemented
1107	C₄⋊C₄	C₂³×D₆₇	1	4	yes	complemented
1108	C₄⋊C₄	C₂³×D₆₇	1	8	yes	complemented
1109	C₂²⋊C₄	—	67	8	no	—
1110	C₂²⋊C₄	—	67	8	no	—
1111	C₂²⋊C₄	—	67	8	no	—
1112	C₂²⋊C₄	—	67	8	no	—
1113	C₂²⋊C₄	—	67	8	no	—
1114	C₂²⋊C₄	—	67	8	no	—
1115	C₂²⋊C₄	—	67	8	no	—
1116	C₂²⋊C₄	—	67	8	no	—
1117	C₂²⋊C₄	—	67	8	no	—
1118	C₂²⋊C₄	—	67	8	no	—
1119	C₂²⋊C₄	—	67	8	no	—
1120	C₂²⋊C₄	—	67	8	no	—
1121	C₂²⋊C₄	—	67	8	no	—
1122	C₂²⋊C₄	—	67	8	no	—
1123	C₂²⋊C₄	—	67	8	no	—
1124	C₂²⋊C₄	—	67	8	no	—
1125	C₂²⋊C₄	—	67	8	no	—
1126	C₂²⋊C₄	—	67	8	no	—
1127	C₂²⋊C₄	—	67	8	no	—
1128	C₂²⋊C₄	—	67	8	no	—
1129	C₂²⋊C₄	—	67	8	no	—
1130	C₂²⋊C₄	—	67	8	no	—
1131	C₂²⋊C₄	—	67	8	no	—
1132	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1133	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1134	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1135	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	complemented
1136	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	complemented
1137	C₄²	—	67	8	no	—
1138	C₄²	—	67	8	no	—
1139	C₄²	—	67	8	no	—
1140	C₄²	C₂³×D₆₇	1	8	yes	complemented
1141	C₂³	—	2	32	no	—
1142	C₂³	—	2	8	no	—
1143	C₂³	—	2	2	no	—
1144	C₂³	—	2	2	no	—
1145	C₂³	—	2	8	no	—
1146	C₂³	—	2	2	no	—
1147	C₂³	—	2	2	no	—
1148	C₂³	—	2	8	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	4	no	—
1152	C₂³	—	2	4	no	—
1153	C₂³	—	2	4	no	—
1154	C₂³	—	268	128	no	—
1155	C₂³	—	268	16	no	—
1156	C₂³	—	268	32	no	—
1157	C₂³	—	268	32	no	—
1158	C₂³	—	268	16	no	—
1159	C₂³	—	268	4	no	—
1160	C₂³	—	268	8	no	—
1161	C₂³	—	268	4	no	—
1162	C₂³	—	268	4	no	—
1163	C₂³	—	268	8	no	—
1164	C₂³	—	268	4	no	—
1165	C₂³	—	268	8	no	—
1166	C₂³	—	268	8	no	—
1167	C₂³	—	536	16	no	—
1168	C₂³	—	67	16	no	—
1169	C₂³	—	67	8	no	—
1170	C₂³	—	67	4	no	—
1171	C₂³	—	67	4	no	—
1172	C₂³	—	67	4	no	—
1173	C₂³	—	134	16	no	—
1174	C₂³	—	134	16	no	—
1175	C₂³	—	134	16	no	—
1176	C₂³	—	134	4	no	—
1177	C₂³	—	134	8	no	—
1178	C₂³	—	134	4	no	—
1179	C₂³	—	134	4	no	—
1180	C₂³	—	134	16	no	—
1181	C₂³	—	134	4	no	—
1182	C₂³	—	134	4	no	—
1183	C₂³	—	134	16	no	—
1184	C₂³	—	134	4	no	—
1185	C₂³	—	134	4	no	—
1186	C₂³	—	134	4	no	—
1187	C₂³	#41×D₆₇	1	4	yes	—
1188	C₂³	#14524088	1	4	yes	—
1189	C₂³	#14524089	1	4	yes	—
1190	C₂³	C₂⁴×D₆₇	1	4	yes	—
1191	C₂³	C₂⁴×D₆₇	1	2	yes	—
1192	C₂³	C₂⁴×D₆₇	1	2	yes	—
1193	C₂³	C₂⁴×D₆₇	1	2	yes	—
1194	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1195	Q₈	—	4	4	no	—
1196	Q₈	—	268	4	no	—
1197	Q₈	—	268	8	no	—
1198	D₄	—	2	16	no	—
1199	D₄	—	2	16	no	—
1200	D₄	—	2	16	no	—
1201	D₄	—	4	4	no	—
1202	D₄	—	268	8	no	—
1203	D₄	—	268	8	no	—
1204	D₄	—	268	4	no	—
1205	D₄	—	268	8	no	—
1206	D₄	—	268	8	no	—
1207	D₄	—	268	8	no	—
1208	D₄	—	134	16	no	—
1209	D₄	—	134	16	no	—
1210	D₄	—	134	16	no	—
1211	D₄	—	134	16	no	—
1212	D₄	—	134	16	no	—
1213	C₂×C₄	—	2	4	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	8	no	—
1219	C₂×C₄	—	2	8	no	—
1220	C₂×C₄	—	2	4	no	—
1221	C₂×C₄	—	2	4	no	—
1222	C₂×C₄	—	4	4	no	—
1223	C₂×C₄	—	4	4	no	—
1224	C₂×C₄	—	4	4	no	—
1225	C₂×C₄	—	4	4	no	—
1226	C₂×C₄	—	4	8	no	—
1227	C₂×C₄	—	268	8	no	—
1228	C₂×C₄	—	268	8	no	—
1229	C₂×C₄	—	268	8	no	—
1230	C₂×C₄	—	268	8	no	—
1231	C₂×C₄	—	268	4	no	—
1232	C₂×C₄	—	268	8	no	—
1233	C₂×C₄	—	268	4	no	—
1234	C₂×C₄	—	268	8	no	—
1235	C₂×C₄	—	67	4	no	—
1236	C₂×C₄	—	67	4	no	—
1237	C₂×C₄	—	67	4	no	—
1238	C₂×C₄	—	67	4	no	—
1239	C₂×C₄	—	67	4	no	—
1240	C₂×C₄	—	134	16	no	—
1241	C₂×C₄	—	134	4	no	—
1242	C₂×C₄	—	134	4	no	—
1243	C₂×C₄	—	134	4	no	—
1244	C₂×C₄	—	134	4	no	—
1245	C₂×C₄	—	134	16	no	—
1246	C₂×C₄	—	134	4	no	—
1247	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1248	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1249	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1250	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1251	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1252	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1253	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1254	C₂²	—	2	32	no	—
1255	C₂²	—	2	8	no	—
1256	C₂²	—	2	8	no	—
1257	C₂²	—	2	8	no	—
1258	C₂²	—	2	2	no	—
1259	C₂²	—	2	2	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	2	2	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	2	no	—
1264	C₂²	—	2	4	no	—
1265	C₂²	—	2	4	no	—
1266	C₂²	—	2	4	no	—
1267	C₂²	—	4	8	no	—
1268	C₂²	—	268	16	no	—
1269	C₂²	—	268	32	no	—
1270	C₂²	—	268	32	no	—
1271	C₂²	—	268	16	no	—
1272	C₂²	—	268	8	no	—
1273	C₂²	—	268	8	no	—
1274	C₂²	—	536	16	no	—
1275	C₂²	—	67	8	no	—
1276	C₂²	—	134	4	no	—
1277	C₂²	—	134	4	no	—
1278	C₂²	—	134	4	no	—
1279	C₂²	—	134	4	no	—
1280	C₂²	—	134	4	no	—
1281	C₂²	—	134	4	no	—
1282	C₂²	—	134	16	no	—
1283	C₂²	—	134	4	no	—
1284	C₂²	—	134	4	no	—
1285	C₂²	C₂×#41×D₆₇	1	4	yes	—
1286	C₂²	C₂×#41×D₆₇	1	2	yes	—
1287	C₂²	C₂×#14524088	1	4	yes	—
1288	C₂²	C₂×#14524088	1	2	yes	—
1289	C₂²	C₂×#14524089	1	4	yes	—
1290	C₂²	C₂×#14524089	1	2	yes	—
1291	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1292	C₄	—	2	4	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	4	no	—
1298	C₄	—	2	4	no	—
1299	C₄	—	134	4	no	—
1300	C₄	—	134	4	no	—
1301	C₄	—	134	4	no	—
1302	C₄	—	134	4	no	—
1303	C₄	—	134	4	no	—
1304	C₂	—	2	4	no	—
1305	C₂	—	2	4	no	—
1306	C₂	—	2	4	no	—
1307	C₂	—	4	4	no	—
1308	C₂	—	268	4	no	—
1309	C₂	—	268	4	no	—
1310	C₂	—	134	8	no	—
1311	C₂	#22573892	1	4	yes	direct product factor
1312	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
1313	C₂	C₂²×#14524088	1	1	yes	characteristic
1314	C₂	C₂²×#14524089	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₆₇
commutator, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₂×#525×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂×#525	D₆₇
hypocenter	C₆₇	C₂×#3490
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #22573892	C₂	direct (N × H)
2. C₂×#16864075	C₂	semidirect
3. C₂×#16864073	C₂	semidirect
4. C₂×#16864070	C₂	semidirect
5. C₂×#16864069	C₂	semidirect
6. C₂×#16864041	C₂	semidirect
7. C₂×#16864038	C₂	semidirect
8. C₂×#16864035	C₂	semidirect
9. C₂×#16864034	C₂	semidirect
10. C₂×#16864021	C₂	semidirect
11. C₂×#16863986	C₂	semidirect
12. C₂×#16863983	C₂	semidirect
13. C₂×#16863979	C₂	semidirect
14. C₂×#16863954	C₂	semidirect
15. C₂×#16863907	C₂	semidirect
16. C₂×#16863902	C₂	semidirect
17. C₂×#120×D₆₇	C₂	semidirect
18. C₂×#16863868	C₂	semidirect
19. C₂³×(C₂×D₆₇)⋊C₄	C₂	semidirect
20. C₂×#525×C₆₇	C₂	semidirect
22. C₂²×#11761628	C₂²	semidirect
23. C₂²×#11761627	C₂²	semidirect
25. C₂²×D₄×D₆₇	C₂²	semidirect
26. C₂²×D₄×D₆₇	C₂²	semidirect
27. C₂⁴×Dic₆₇	C₂²	semidirect
28. #16864075	C₂²	semidirect
29. #16864073	C₂²	semidirect
30. #16864070	C₂²	semidirect
31. #16864069	C₂²	semidirect
32. #16864041	C₂²	semidirect
33. #16864038	C₂²	semidirect
34. #16864035	C₂²	semidirect
35. #16864034	C₂²	semidirect
36. #16864021	C₂²	semidirect
37. #16863986	C₂²	semidirect
38. #16863983	C₂²	semidirect
39. #16863979	C₂²	semidirect
40. #16863954	C₂²	semidirect
41. C₂×#14524038	C₂²	semidirect
42. C₂×#14524038	C₂²	semidirect
43. C₂×#14524038	C₂²	semidirect
44. C₂×#14524037	C₂²	semidirect
45. C₂×#14524032	C₂²	semidirect
46. C₂×#14524031	C₂²	semidirect
47. C₂×#14524029	C₂²	semidirect
48. C₂×#14524029	C₂²	semidirect
49. #16863907	C₂²	semidirect
50. #16863902	C₂²	semidirect
51. C₂×#14524028	C₂²	semidirect
52. C₂×#14524028	C₂²	semidirect
53. C₂×#14524028	C₂²	semidirect
54. C₂×#14524027	C₂²	semidirect
55. C₂×#14524027	C₂²	semidirect
56. C₂×#14524026	C₂²	semidirect
57. C₂×#14524026	C₂²	semidirect
58. C₂×#14524025	C₂²	semidirect
59. C₂×#14524024	C₂²	semidirect
60. C₂×#14524023	C₂²	semidirect
61. C₂×#14524022	C₂²	semidirect
62. C₂×#14524022	C₂²	semidirect
63. C₂×#14524021	C₂²	semidirect
64. C₂×#14524021	C₂²	semidirect
65. C₂×#14524020	C₂²	semidirect
66. C₂×#14524020	C₂²	semidirect
67. C₂×#14524019	C₂²	semidirect
68. C₂×#14524018	C₂²	semidirect
69. C₂×#14524017	C₂²	semidirect
70. C₂×#14524017	C₂²	semidirect
71. C₂×#14524017	C₂²	semidirect
72. C₂×#14524016	C₂²	semidirect
73. C₂×#14524015	C₂²	semidirect
74. C₂×#14524015	C₂²	semidirect
75. C₂×#14524015	C₂²	semidirect
78. C₂×#14524013	C₂²	semidirect
79. C₂×#14524013	C₂²	semidirect
80. C₂×#14524012	C₂²	semidirect
83. C₂×#14524011	C₂²	semidirect
84. C₂×#14524011	C₂²	semidirect
85. #120×D₆₇	C₂²	semidirect
86. #16863868	C₂²	semidirect
87. C₂×C₄×D₂₆₈	C₂²	semidirect
88. C₂×D₄×Dic₆₇	C₂²	semidirect
89. C₂×D₄×Dic₆₇	C₂²	semidirect
90. C₂×#14524005	C₂²	semidirect
91. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
92. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
93. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
94. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
95. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
96. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
97. C₂×#14524002	C₂²	semidirect
98. C₂×#14524001	C₂²	semidirect
99. C₂×#14524000	C₂²	semidirect
100. C₂×#14523999	C₂²	semidirect
103. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
104. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
105. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
106. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
107. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
108. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
109. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
110. C₂²×(C₂×D₆₇)⋊C₄	C₂²	semidirect
112. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
113. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
114. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
115. C₂²×#41×C₆₇	C₂²	semidirect
116. C₂⁴×C₄×C₆₇	C₂²	semidirect
117. #525×C₆₇	C₂²	semidirect
118. C₂×#123×C₆₇	C₂²	semidirect
119. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
120. C₂×C₂²⋊Q₈×C₆₇	C₂²	semidirect
121. C₂×#121×C₆₇	C₂²	semidirect
122. C₂×#121×C₆₇	C₂²	semidirect
123. C₂×#120×C₆₇	C₂²	semidirect
124. C₂×C₄×D₄×C₆₇	C₂²	semidirect
125. C₂×C₄×D₄×C₆₇	C₂²	semidirect
126. C₂×#117×C₆₇	C₂²	semidirect
137. C₂×#11761628	C₂³	semidirect
139. C₂×#11761627	C₂³	semidirect
140. C₂²×Dic₁₃₄	C₂³	semidirect
141. C₂²×Dic₁₃₄	C₂³	semidirect
145. C₂²×D₂₆₈	C₂³	semidirect
152. C₂²×C₂²⋊D₆₇	C₂³	semidirect
157. C₂×D₄×D₆₇	C₂³	semidirect
158. C₂×D₄×D₆₇	C₂³	semidirect
164. C₂³×Dic₆₇	C₂³	semidirect
165. C₂³×Dic₆₇	C₂³	semidirect
169. C₂²×C₄×D₆₇	C₂³	semidirect
170. C₂²×C₄×D₆₇	C₂³	semidirect
171. #14524038	C₂³	semidirect
172. #14524038	C₂³	semidirect
173. #14524038	C₂³	semidirect
174. #14524037	C₂³	semidirect
175. #14524032	C₂³	semidirect
176. #14524031	C₂³	semidirect
177. #14524029	C₂³	semidirect
178. #14524029	C₂³	semidirect
179. #14524028	C₂³	semidirect
180. #14524028	C₂³	semidirect
181. #14524028	C₂³	semidirect
182. #14524027	C₂³	semidirect
183. #14524027	C₂³	semidirect
184. #14524026	C₂³	semidirect
185. #14524026	C₂³	semidirect
186. #14524025	C₂³	semidirect
187. #14524024	C₂³	semidirect
188. #14524023	C₂³	semidirect
189. #14524022	C₂³	semidirect
190. #14524022	C₂³	semidirect
191. #14524021	C₂³	semidirect
192. #14524021	C₂³	semidirect
193. #14524020	C₂³	semidirect
194. #14524020	C₂³	semidirect
195. #14524019	C₂³	semidirect
196. #14524018	C₂³	semidirect
197. #14524017	C₂³	semidirect
198. #14524017	C₂³	semidirect
199. #14524017	C₂³	semidirect
200. #14524016	C₂³	semidirect
201. #14524015	C₂³	semidirect
202. #14524015	C₂³	semidirect
203. #14524015	C₂³	semidirect
206. #14524013	C₂³	semidirect
207. #14524013	C₂³	semidirect
208. #14524012	C₂³	semidirect
211. #14524011	C₂³	semidirect
212. #14524011	C₂³	semidirect
213. C₄×D₂₆₈	C₂³	semidirect
214. D₄×Dic₆₇	C₂³	semidirect
215. D₄×Dic₆₇	C₂³	semidirect
216. #14524005	C₂³	semidirect
217. C₄×C₂²⋊D₆₇	C₂³	semidirect
218. C₄×C₂²⋊D₆₇	C₂³	semidirect
219. C₄×C₂²⋊D₆₇	C₂³	semidirect
220. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
221. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
222. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
223. #14524002	C₂³	semidirect
224. #14524001	C₂³	semidirect
225. #14524000	C₂³	semidirect
226. #14523999	C₂³	semidirect
227. C₂×C₄⋊Dic₆₇	C₂³	semidirect
228. C₂×C₄⋊Dic₆₇	C₂³	semidirect
229. C₂×C₄⋊Dic₆₇	C₂³	semidirect
230. C₂×C₄⋊Dic₆₇	C₂³	semidirect
231. C₂×Dic₆₇⋊C₄	C₂³	semidirect
232. C₂×Dic₆₇⋊C₄	C₂³	semidirect
233. C₂×Dic₆₇⋊C₄	C₂³	semidirect
234. C₂×Dic₆₇⋊C₄	C₂³	semidirect
235. C₂×Dic₆₇⋊C₄	C₂³	semidirect
236. C₂×Dic₆₇⋊C₄	C₂³	semidirect
240. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
241. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
258. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
259. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
260. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
261. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
262. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
263. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
264. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
265. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
266. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
267. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
268. C₂×(C₂×D₆₇)⋊C₄	C₂³	semidirect
270. C₂²⋊C₄×D₆₇	C₂³	semidirect
271. C₂²⋊C₄×D₆₇	C₂³	semidirect
272. C₂²⋊C₄×D₆₇	C₂³	semidirect
273. C₂×C₄×Dic₆₇	C₂³	semidirect
274. C₂×C₄×Dic₆₇	C₂³	semidirect
275. C₂×C₄×Dic₆₇	C₂³	semidirect
278. C₂×#41×C₆₇	C₂³	semidirect
279. C₂²×Q₈×C₆₇	C₂³	semidirect
283. C₂²×D₄×C₆₇	C₂³	semidirect
291. C₂³×C₄×C₆₇	C₂³	semidirect
292. C₂³×C₄×C₆₇	C₂³	semidirect
293. #123×C₆₇	C₂³	semidirect
294. C₂²⋊Q₈×C₆₇	C₂³	semidirect
295. C₂²⋊Q₈×C₆₇	C₂³	semidirect
296. #121×C₆₇	C₂³	semidirect
297. #121×C₆₇	C₂³	semidirect
298. #120×C₆₇	C₂³	semidirect
299. C₄×D₄×C₆₇	C₂³	semidirect
300. C₄×D₄×C₆₇	C₂³	semidirect
301. #117×C₆₇	C₂³	semidirect
302. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
303. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
304. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
305. C₂×C₄⋊C₄×C₆₇	C₂³	semidirect
309. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
310. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
311. C₂×C₄²×C₆₇	C₂³	semidirect
330. C₂³×D₆₇	#41	semidirect
343. C₂×Dic₁₃₄	C₂⁴	semidirect
344. C₂×Dic₁₃₄	C₂⁴	semidirect
352. C₂×D₂₆₈	C₂⁴	semidirect
366. C₂×C₂²⋊D₆₇	C₂⁴	semidirect
385. C₂²×Dic₆₇	C₂⁴	semidirect
394. C₂×C₄×D₆₇	C₂⁴	semidirect
395. C₂×C₄×D₆₇	C₂⁴	semidirect
396. C₄⋊Dic₆₇	C₂⁴	semidirect
397. C₄⋊Dic₆₇	C₂⁴	semidirect
398. C₄⋊Dic₆₇	C₂⁴	semidirect
399. C₄⋊Dic₆₇	C₂⁴	semidirect
400. Dic₆₇⋊C₄	C₂⁴	semidirect
401. Dic₆₇⋊C₄	C₂⁴	semidirect
402. Dic₆₇⋊C₄	C₂⁴	semidirect
403. Dic₆₇⋊C₄	C₂⁴	semidirect
404. Dic₆₇⋊C₄	C₂⁴	semidirect
405. Dic₆₇⋊C₄	C₂⁴	semidirect
409. C₂²⋊Dic₆₇	C₂⁴	semidirect
410. C₂²⋊Dic₆₇	C₂⁴	semidirect
425. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
426. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
427. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
428. (C₂×D₆₇)⋊C₄	C₂⁴	semidirect
429. C₄×Dic₆₇	C₂⁴	semidirect
430. C₄×Dic₆₇	C₂⁴	semidirect
431. C₄×Dic₆₇	C₂⁴	semidirect
442. C₂×Q₈×C₆₇	C₂⁴	semidirect
450. C₂×D₄×C₆₇	C₂⁴	semidirect
472. C₂²×C₄×C₆₇	C₂⁴	semidirect
473. C₄⋊C₄×C₆₇	C₂⁴	semidirect
474. C₄⋊C₄×C₆₇	C₂⁴	semidirect
475. C₄⋊C₄×C₆₇	C₂⁴	semidirect
476. C₄⋊C₄×C₆₇	C₂⁴	semidirect
480. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
481. C₂²⋊C₄×C₆₇	C₂⁴	semidirect
482. C₄²×C₆₇	C₂⁴	semidirect
533. C₂²×D₆₇	C₂×#41	semidirect
651. C₂×C₆₇	#3490	semidirect
674. C₂×#525	D₆₇	semidirect
678. C₆₇	C₂×#3490	semidirect
682. C₂²×#41	C₂×D₆₇	semidirect
687. C₂⁴×C₄	C₂×D₆₇	semidirect
711. #525	C₂×D₆₇	semidirect
721. C₂×#123	C₂×D₆₇	semidirect
730. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
731. C₂×C₂²⋊Q₈	C₂×D₆₇	semidirect
740. C₂×#121	C₂×D₆₇	semidirect
741. C₂×#121	C₂×D₆₇	semidirect
752. C₂×#120	C₂×D₆₇	semidirect
764. C₂×C₄×D₄	C₂×D₆₇	semidirect
765. C₂×C₄×D₄	C₂×D₆₇	semidirect
770. C₂×#117	C₂×D₆₇	semidirect
800. C₂×#41	C₂²×D₆₇	semidirect
803. C₂²×Q₈	C₂²×D₆₇	semidirect
824. C₂²×D₄	C₂²×D₆₇	semidirect
844. C₂³×C₄	C₂²×D₆₇	semidirect
845. C₂³×C₄	C₂²×D₆₇	semidirect
863. #123	C₂²×D₆₇	semidirect
872. C₂²⋊Q₈	C₂²×D₆₇	semidirect
873. C₂²⋊Q₈	C₂²×D₆₇	semidirect
882. #121	C₂²×D₆₇	semidirect
883. #121	C₂²×D₆₇	semidirect
893. #120	C₂²×D₆₇	semidirect
904. C₄×D₄	C₂²×D₆₇	semidirect
905. C₄×D₄	C₂²×D₆₇	semidirect
910. #117	C₂²×D₆₇	semidirect
921. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
922. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
923. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
924. C₂×C₄⋊C₄	C₂²×D₆₇	semidirect
964. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
965. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
969. C₂×C₄²	C₂²×D₆₇	semidirect
1013. C₂×Q₈	C₂³×D₆₇	semidirect
1046. C₂×D₄	C₂³×D₆₇	semidirect
1094. C₂²×C₄	C₂³×D₆₇	semidirect
1105. C₄⋊C₄	C₂³×D₆₇	semidirect
1106. C₄⋊C₄	C₂³×D₆₇	semidirect
1107. C₄⋊C₄	C₂³×D₆₇	semidirect
1108. C₄⋊C₄	C₂³×D₆₇	semidirect
1135. C₂²⋊C₄	C₂³×D₆₇	semidirect
1136. C₂²⋊C₄	C₂³×D₆₇	semidirect
1140. C₄²	C₂³×D₆₇	semidirect
1311. C₂	#22573892	direct (N × H)

Maximal subgroups

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

subgroup	index
#22573892	2
C₂×#16864075	2
C₂×#16864073	2
C₂×#16864070	2
C₂×#16864069	2
C₂×#16864041	2
C₂×#16864038	2
C₂×#16864035	2
C₂×#16864034	2
C₂×#16864021	2
C₂×#16863986	2
C₂×#16863983	2
C₂×#16863979	2
C₂×#16863954	2
C₂×#16863907	2
C₂×#16863902	2
C₂×#120×D₆₇	2
C₂×#16863868	2
C₂³×(C₂×D₆₇)⋊C₄	2
C₂×#525×C₆₇	2
C₂×#3490	67

Subgroups — C2×#22573892 #31763738

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22573892 #31763738