Subgroups — C₂×#22574164 #31763917

Order 17152.

8006 conjugacy classes of subgroups.

The subgroup lattice has 1376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22574164	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16864128	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16864115	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16864108	C₂	1	2	yes	maximal, complemented
5	C₂×#16864076	C₂	1	2	yes	maximal, complemented
6	C₂×#16864072	C₂	1	2	yes	maximal, complemented
7	C₂×Q₈×C₂²⋊D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16864057	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16864054	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16864040	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16864039	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16864036	C₂	1	2	yes	maximal, complemented
13	C₂×D₄×C₂²⋊D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16864010	C₂	1	2	yes	maximal, complemented
15	C₂×#16863984	C₂	1	2	yes	maximal, complemented
16	C₂×#16863980	C₂	1	2	yes	maximal, complemented
17	C₂×#16863945	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16863930	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16863925	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16863925	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#124×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16863869	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×#11761628	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#124×C₆₇	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11761629	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11761628	C₂²	1	1	yes	characteristic
27	C₂²×#11761627	C₂²	1	1	yes	characteristic, complemented
28	C₂²×Q₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
29	C₂³×C₂²⋊D₆₇	C₂²	1	2	yes	—
30	C₂²×D₄×D₆₇	C₂²	1	1	yes	characteristic
31	#16864128	C₂²	1	16	yes	complemented
32	#16864115	C₂²	1	16	yes	complemented
33	#16864108	C₂²	1	32	yes	complemented
34	#16864076	C₂²	1	32	yes	complemented
35	#16864072	C₂²	1	32	yes	complemented
36	Q₈×C₂²⋊D₆₇	C₂²	1	16	yes	complemented
37	#16864057	C₂²	1	16	yes	complemented
38	#16864054	C₂²	1	16	yes	complemented
39	#16864040	C₂²	1	16	yes	complemented
40	#16864039	C₂²	1	16	yes	complemented
41	#16864036	C₂²	1	32	yes	complemented
42	D₄×C₂²⋊D₆₇	C₂²	1	16	yes	complemented
43	#16864010	C₂²	1	32	yes	complemented
44	#16863984	C₂²	1	32	yes	complemented
45	#16863980	C₂²	1	32	yes	complemented
46	#16863945	C₂²	1	16	yes	complemented
47	C₂×#14524041	C₂²	1	2	yes	complemented
48	C₂×#14524041	C₂²	1	1	yes	characteristic, complemented
49	C₂×#14524039	C₂²	1	1	yes	characteristic
50	#16863930	C₂²	1	16	yes	complemented
51	#16863925	C₂²	1	16	yes	complemented
52	#16863925	C₂²	1	16	yes	complemented
53	C₂×#14524037	C₂²	1	2	yes	complemented
54	C₂×#14524036	C₂²	1	2	yes	complemented
55	C₂×#14524036	C₂²	1	2	yes	complemented
56	C₂×#14524036	C₂²	1	2	yes	complemented
57	C₂×#14524036	C₂²	1	2	yes	complemented
58	C₂×#14524035	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14524032	C₂²	1	1	yes	characteristic, complemented
60	C₂×#14524032	C₂²	1	2	yes	complemented
61	C₂×#14524031	C₂²	1	1	yes	characteristic, complemented
62	C₂×#14524030	C₂²	1	1	yes	characteristic
63	C₂×#14524029	C₂²	1	2	yes	complemented
64	C₂×#14524029	C₂²	1	2	yes	complemented
65	C₂×#14524029	C₂²	1	2	yes	complemented
66	C₂×#14524029	C₂²	1	2	yes	complemented
67	#124×D₆₇	C₂²	1	16	yes	complemented
68	C₂×#14524027	C₂²	1	2	yes	complemented
69	C₂×#14524026	C₂²	1	2	yes	complemented
70	C₂×#14524025	C₂²	1	2	yes	complemented
71	C₂×#14524025	C₂²	1	2	yes	complemented
72	C₂×#14524025	C₂²	1	2	yes	complemented
73	C₂×#14524025	C₂²	1	2	yes	complemented
74	C₂×#14524024	C₂²	1	2	yes	complemented
75	C₂×#14524022	C₂²	1	1	yes	characteristic, complemented
76	C₂×#14524022	C₂²	1	2	yes	complemented
77	C₂×#14524020	C₂²	1	2	yes	complemented
78	C₂×#14524020	C₂²	1	2	yes	complemented
79	C₂×#14524019	C₂²	1	2	yes	complemented
80	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
81	C₂×#14524019	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14524019	C₂²	1	2	yes	complemented
83	C₂×#14524017	C₂²	1	1	yes	characteristic
84	C₂×#14524017	C₂²	1	2	yes	complemented
85	C₂×#14524016	C₂²	1	2	yes	complemented
86	C₂×#14524016	C₂²	1	2	yes	complemented
87	C₂×#14524016	C₂²	1	2	yes	complemented
88	C₂×#14524016	C₂²	1	2	yes	complemented
89	C₂×#14524015	C₂²	1	2	yes	—
90	C₂×#14524015	C₂²	1	2	yes	complemented
91	C₂×#14524014	C₂²	1	1	yes	characteristic
92	C₂×#14524014	C₂²	1	1	yes	characteristic
93	C₂×#14524013	C₂²	1	2	yes	complemented
94	C₂×#14524012	C₂²	1	2	yes	—
95	C₂×#14524012	C₂²	1	2	yes	complemented
96	C₂×#14524011	C₂²	1	2	yes	—
97	#16863869	C₂²	1	32	yes	complemented
98	C₄×#11761628	C₂²	1	16	yes	complemented
99	C₂×Q₈×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
100	C₂×Q₈×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×Dic₁₃₄	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic, complemented
107	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic
108	C₂×D₄×Dic₆₇	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
110	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
111	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	—
112	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
115	C₂×C₄×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
116	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
117	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
118	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
119	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
120	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
121	C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	1	2	yes	complemented
122	C₂×#14524002	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14524000	C₂²	1	1	yes	characteristic, complemented
125	C₂×#14524000	C₂²	1	2	yes	complemented
126	C₂×#14523999	C₂²	1	2	yes	complemented
127	C₂×#14523999	C₂²	1	2	yes	complemented
128	C₂×#14523999	C₂²	1	2	yes	complemented
129	C₂²×C₂²⋊Dic₆₇	C₂²	1	2	yes	complemented
130	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
131	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
132	C₂×C₂²⋊C₄×D₆₇	C₂²	1	2	yes	complemented
133	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄²×D₆₇	C₂²	1	1	yes	characteristic, complemented
135	C₂³×Q₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
136	C₂³×D₄×C₆₇	C₂²	1	1	yes	characteristic
137	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
138	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic
139	C₂×#124×C₆₇	C₂²	1	2	yes	complemented
140	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
141	C₂×#124×C₆₇	C₂²	1	2	yes	complemented
142	C₂×#124×C₆₇	C₂²	1	1	yes	characteristic, complemented
143	C₂×#124×C₆₇	C₂²	1	16	yes	complemented
144	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	2	yes	complemented
145	C₂²×C₂²⋊C₄×C₆₇	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₆₇	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₆₇	C₂³	1	2	yes	—
148	C₂×#11761629	—	4	4	no	—
149	C₂×#11761629	C₂³	1	8	yes	complemented
150	C₂×#11761628	—	2	8	no	—
151	C₂×#11761628	C₂³	1	8	yes	—
152	C₂×#11761627	—	4	4	no	—
153	C₂×#11761627	C₂³	1	8	yes	complemented
154	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
155	C₂²×Dic₁₃₄	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₃₄	C₂³	1	2	yes	—
157	C₂×Q₈×D₆₇	—	4	4	no	—
158	C₂×Q₈×D₆₇	C₂³	1	8	yes	complemented
159	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
160	C₂²×D₂₆₈	C₂³	1	1	yes	characteristic
161	C₂²×D₂₆₈	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₆₇	—	2	16	no	—
163	C₂²×C₂²⋊D₆₇	C₂³	1	16	yes	—
164	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₆₇	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
173	C₂×D₄×D₆₇	—	4	4	no	—
174	C₂×D₄×D₆₇	C₂³	1	8	yes	—
175	C₂³×Dic₆₇	C₂³	1	2	yes	—
176	C₂³×Dic₆₇	C₂³	1	2	yes	—
177	C₂³×Dic₆₇	C₂³	1	2	yes	—
178	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
185	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
186	C₂²×C₄×D₆₇	C₂³	1	2	yes	—
187	#14524041	C₂³	1	16	yes	complemented
188	#14524041	C₂³	1	8	yes	complemented
189	#14524039	C₂³	1	8	yes	—
190	#14524037	C₂³	1	16	yes	complemented
191	#14524036	C₂³	1	16	yes	complemented
192	#14524036	C₂³	1	16	yes	complemented
193	#14524036	C₂³	1	16	yes	complemented
194	#14524036	C₂³	1	16	yes	complemented
195	#14524035	C₂³	1	8	yes	complemented
196	#14524032	C₂³	1	16	yes	complemented
197	#14524032	C₂³	1	8	yes	complemented
198	#14524031	C₂³	1	8	yes	complemented
199	#14524030	C₂³	1	8	yes	—
200	#14524029	C₂³	1	16	yes	complemented
201	#14524029	C₂³	1	16	yes	complemented
202	#14524029	C₂³	1	16	yes	complemented
203	#14524029	C₂³	1	16	yes	complemented
204	#14524027	C₂³	1	16	yes	complemented
205	#14524026	C₂³	1	16	yes	complemented
206	#14524025	C₂³	1	16	yes	complemented
207	#14524025	C₂³	1	16	yes	complemented
208	#14524025	C₂³	1	16	yes	complemented
209	#14524025	C₂³	1	16	yes	complemented
210	#14524024	C₂³	1	16	yes	complemented
211	#14524022	C₂³	1	8	yes	complemented
212	#14524022	C₂³	1	16	yes	complemented
213	#14524020	C₂³	1	16	yes	complemented
214	#14524020	C₂³	1	16	yes	complemented
215	#14524019	C₂³	1	16	yes	complemented
216	#14524019	C₂³	1	8	yes	complemented
217	#14524019	C₂³	1	8	yes	complemented
218	#14524019	C₂³	1	16	yes	complemented
219	#14524017	C₂³	1	8	yes	—
220	#14524017	C₂³	1	16	yes	complemented
221	#14524016	C₂³	1	16	yes	complemented
222	#14524016	C₂³	1	16	yes	complemented
223	#14524016	C₂³	1	16	yes	complemented
224	#14524016	C₂³	1	16	yes	complemented
225	#14524015	C₂³	1	16	yes	—
226	#14524015	C₂³	1	16	yes	complemented
227	#14524014	C₂³	1	8	yes	—
228	#14524014	C₂³	1	8	yes	—
229	#14524013	C₂³	1	16	yes	complemented
230	#14524012	C₂³	1	16	yes	—
231	#14524012	C₂³	1	16	yes	complemented
232	#14524011	C₂³	1	16	yes	—
233	Q₈×Dic₆₇	C₂³	1	8	yes	complemented
234	Q₈×Dic₆₇	C₂³	1	8	yes	complemented
235	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
236	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
237	C₄×Dic₁₃₄	C₂³	1	8	yes	complemented
238	C₄×D₂₆₈	C₂³	1	8	yes	complemented
239	C₄×D₂₆₈	C₂³	1	8	yes	complemented
240	C₄×D₂₆₈	C₂³	1	8	yes	complemented
241	D₄×Dic₆₇	C₂³	1	8	yes	—
242	D₄×Dic₆₇	C₂³	1	8	yes	complemented
243	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
244	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	—
245	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	—
246	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
247	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
248	C₄×C₂²⋊D₆₇	C₂³	1	8	yes	complemented
249	C₄×C₂²⋊D₆₇	C₂³	1	16	yes	complemented
250	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
251	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
252	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
253	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
254	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
255	(C₂²⋊D₆₇)⋊C₄	C₂³	1	16	yes	complemented
256	#14524002	C₂³	1	8	yes	complemented
257	#14524000	C₂³	1	8	yes	complemented
258	#14524000	C₂³	1	16	yes	complemented
259	#14524000	C₂³	1	8	yes	complemented
260	#14523999	C₂³	1	16	yes	complemented
261	#14523999	C₂³	1	16	yes	complemented
262	#14523999	C₂³	1	16	yes	complemented
263	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₆₇	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
268	C₂×C₄⋊Dic₆₇	C₂³	1	2	yes	—
269	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
274	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
275	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₆₇⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₆₇⋊C₄	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₆₇	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₆₇	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₆₇	C₂³	1	16	yes	complemented
291	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₆₇)⋊C₄	C₂³	1	2	yes	—
303	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
304	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
305	C₂²⋊C₄×D₆₇	C₂³	1	16	yes	complemented
306	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
313	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
314	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
315	C₄²×D₆₇	C₂³	1	8	yes	complemented
316	C₄²×D₆₇	C₂³	1	8	yes	complemented
317	C₂⁵×C₆₇	C₂³	1	2	yes	—
318	C₂²×Q₈×C₆₇	—	4	4	no	—
319	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
320	C₂²×Q₈×C₆₇	C₂³	1	1	yes	characteristic
321	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
322	C₂²×Q₈×C₆₇	C₂³	1	8	yes	complemented
323	C₂²×D₄×C₆₇	—	4	4	no	—
324	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₆₇	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₆₇	C₂³	1	8	yes	—
327	C₂²×D₄×C₆₇	C₂³	1	2	yes	—
328	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₆₇	C₂³	1	2	yes	—
332	#124×C₆₇	C₂³	1	8	yes	—
333	#124×C₆₇	C₂³	1	8	yes	—
334	#124×C₆₇	C₂³	1	16	yes	complemented
335	#124×C₆₇	C₂³	1	8	yes	complemented
336	#124×C₆₇	C₂³	1	16	yes	complemented
337	#124×C₆₇	C₂³	1	8	yes	complemented
338	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
340	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₆₇	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₆₇	C₂³	1	16	yes	complemented
347	C₂×C₂²⋊C₄×C₆₇	C₂³	1	16	yes	complemented
348	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₆₇	C₂³	1	8	yes	complemented
353	C₂³×D₆₇	—	2	8	no	—
354	C₂³×D₆₇	—	4	4	no	—
355	C₂³×D₆₇	—	4	4	no	—
356	C₂³×D₆₇	C₂⁴	1	2	yes	—
357	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
358	C₂³×D₆₇	C₂⁴	1	1	yes	characteristic
359	C₂³×D₆₇	C₂⁴	1	8	yes	—
360	#11761629	—	4	16	no	—
361	#11761628	—	2	32	no	—
362	#11761627	—	4	16	no	—
363	C₂×Dic₁₃₄	—	2	4	no	—
364	C₂×Dic₁₃₄	—	2	4	no	—
365	C₂×Dic₁₃₄	—	4	4	no	—
366	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
367	C₂×Dic₁₃₄	C₂⁴	1	4	yes	—
368	C₂×Dic₁₃₄	C₂⁴	1	8	yes	—
369	Q₈×D₆₇	—	4	16	no	—
370	C₂×D₂₆₈	—	2	4	no	—
371	C₂×D₂₆₈	—	2	4	no	—
372	C₂×D₂₆₈	—	4	4	no	—
373	C₂×D₂₆₈	C₂⁴	1	4	yes	—
374	C₂×D₂₆₈	C₂⁴	1	4	yes	—
375	C₂×D₂₆₈	C₂⁴	1	8	yes	—
376	C₂×C₂²⋊D₆₇	—	2	8	no	—
377	C₂×C₂²⋊D₆₇	—	2	4	no	—
378	C₂×C₂²⋊D₆₇	—	2	8	no	—
379	C₂×C₂²⋊D₆₇	—	2	64	no	—
380	C₂×C₂²⋊D₆₇	—	2	8	no	—
381	C₂×C₂²⋊D₆₇	—	4	4	no	—
382	C₂×C₂²⋊D₆₇	—	4	4	no	—
383	C₂×C₂²⋊D₆₇	—	4	4	no	—
384	C₂×C₂²⋊D₆₇	—	4	4	no	—
385	C₂×C₂²⋊D₆₇	#41	1	8	yes	complemented
386	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
387	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
388	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
390	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₆₇	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₆₇	C₂⁴	1	4	yes	—
395	D₄×D₆₇	—	4	16	no	—
396	C₂²×Dic₆₇	—	2	8	no	—
397	C₂²×Dic₆₇	—	4	4	no	—
398	C₂²×Dic₆₇	—	4	4	no	—
399	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
402	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
406	C₂²×Dic₆₇	C₂⁴	1	2	yes	—
407	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
408	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
409	C₂²×Dic₆₇	C₂⁴	1	8	yes	—
410	C₂²×Dic₆₇	C₂⁴	1	1	yes	characteristic
411	C₂×C₄×D₆₇	—	2	4	no	—
412	C₂×C₄×D₆₇	—	2	4	no	—
413	C₂×C₄×D₆₇	—	2	4	no	—
414	C₂×C₄×D₆₇	—	2	4	no	—
415	C₂×C₄×D₆₇	—	4	2	no	—
416	C₂×C₄×D₆₇	—	4	4	no	—
417	C₂×C₄×D₆₇	—	4	2	no	—
418	C₂×C₄×D₆₇	—	4	4	no	—
419	C₂×C₄×D₆₇	—	4	4	no	—
420	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
421	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
422	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
423	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
424	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
425	C₂×C₄×D₆₇	C₂⁴	1	4	yes	—
426	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
427	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
428	C₂×C₄×D₆₇	C₂⁴	1	8	yes	—
429	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
430	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
431	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
432	C₄⋊Dic₆₇	C₂⁴	1	4	yes	—
433	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
434	C₄⋊Dic₆₇	C₂⁴	1	8	yes	—
435	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
436	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
437	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
438	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
439	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
440	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
441	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
442	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
443	Dic₆₇⋊C₄	C₂⁴	1	4	yes	—
444	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
445	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
446	Dic₆₇⋊C₄	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
449	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
451	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
452	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
453	C₂²⋊Dic₆₇	C₂⁴	1	4	yes	—
454	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₆₇	C₂⁴	1	8	yes	—
456	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
457	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
459	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
461	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
463	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
464	(C₂×D₆₇)⋊C₄	C₂⁴	1	4	yes	—
465	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
466	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
467	(C₂×D₆₇)⋊C₄	C₂⁴	1	8	yes	—
468	C₄×Dic₆₇	C₂⁴	1	4	yes	—
469	C₄×Dic₆₇	C₂⁴	1	4	yes	—
470	C₄×Dic₆₇	C₂⁴	1	4	yes	—
471	C₄×Dic₆₇	C₂⁴	1	4	yes	—
472	C₄×Dic₆₇	C₂⁴	1	4	yes	—
473	C₄×Dic₆₇	C₂⁴	1	4	yes	—
474	C₄×Dic₆₇	C₂⁴	1	8	yes	—
475	C₄×Dic₆₇	C₂⁴	1	8	yes	—
476	C₄×Dic₆₇	C₂⁴	1	8	yes	—
477	C₂⁴×C₆₇	—	2	8	no	—
478	C₂⁴×C₆₇	—	4	4	no	—
479	C₂⁴×C₆₇	—	4	4	no	—
480	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
481	C₂⁴×C₆₇	C₂⁴	1	2	yes	—
482	C₂⁴×C₆₇	C₂⁴	1	1	yes	characteristic
483	C₂⁴×C₆₇	C₂⁴	1	8	yes	—
484	C₂×Q₈×C₆₇	—	2	4	no	—
485	C₂×Q₈×C₆₇	—	2	4	no	—
486	C₂×Q₈×C₆₇	—	4	4	no	—
487	C₂×Q₈×C₆₇	—	4	16	no	—
488	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
489	C₂×Q₈×C₆₇	C₂⁴	1	4	yes	—
490	C₂×Q₈×C₆₇	C₂⁴	1	8	yes	—
491	C₂×D₄×C₆₇	—	2	4	no	—
492	C₂×D₄×C₆₇	—	2	4	no	—
493	C₂×D₄×C₆₇	—	4	16	no	—
494	C₂×D₄×C₆₇	—	4	4	no	—
495	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
496	C₂×D₄×C₆₇	C₂⁴	1	4	yes	—
497	C₂×D₄×C₆₇	C₂⁴	1	8	yes	—
498	C₂²×C₄×C₆₇	—	2	4	no	—
499	C₂²×C₄×C₆₇	—	2	4	no	—
500	C₂²×C₄×C₆₇	—	4	2	no	—
501	C₂²×C₄×C₆₇	—	4	4	no	—
502	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
508	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₆₇	C₂⁴	1	2	yes	—
511	C₂²×C₄×C₆₇	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₆₇	C₂⁴	1	8	yes	—
513	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
514	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
515	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
516	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
517	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
518	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
519	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
520	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₆₇	C₂⁴	1	8	yes	—
522	C₄²×C₆₇	C₂⁴	1	4	yes	—
523	C₄²×C₆₇	C₂⁴	1	4	yes	—
524	C₄²×C₆₇	C₂⁴	1	4	yes	—
525	C₄²×C₆₇	C₂⁴	1	4	yes	—
526	C₂³×C₆₇	—	2	2	no	—
527	C₂³×C₆₇	—	2	2	no	—
528	C₂³×C₆₇	—	2	4	no	—
529	C₂³×C₆₇	—	2	4	no	—
530	C₂³×C₆₇	—	2	4	no	—
531	C₂³×C₆₇	—	2	4	no	—
532	C₂³×C₆₇	—	2	4	no	—
533	C₂³×C₆₇	—	2	4	no	—
534	C₂³×C₆₇	—	2	16	no	—
535	C₂³×C₆₇	—	4	8	no	—
536	C₂³×C₆₇	—	4	8	no	—
537	C₂³×C₆₇	—	8	16	no	—
538	C₂³×C₆₇	C₂×#41	1	4	yes	—
539	C₂³×C₆₇	C₂⁵	1	4	yes	—
540	C₂³×C₆₇	C₂⁵	1	4	yes	—
541	C₂³×C₆₇	C₂⁵	1	2	yes	—
542	C₂³×C₆₇	C₂⁵	1	1	yes	characteristic
543	C₂²×D₆₇	—	2	2	no	—
544	C₂²×D₆₇	—	2	2	no	—
545	C₂²×D₆₇	—	2	2	no	—
546	C₂²×D₆₇	—	2	4	no	—
547	C₂²×D₆₇	—	2	2	no	—
548	C₂²×D₆₇	—	2	4	no	—
549	C₂²×D₆₇	—	2	2	no	—
550	C₂²×D₆₇	—	2	4	no	—
551	C₂²×D₆₇	—	2	16	no	—
552	C₂²×D₆₇	—	4	8	no	—
553	C₂²×D₆₇	—	4	8	no	—
554	C₂²×D₆₇	—	8	16	no	—
555	C₂²×D₆₇	C₂×#41	1	4	yes	—
556	C₂²×D₆₇	C₂⁵	1	4	yes	—
557	C₂²×D₆₇	C₂⁵	1	2	yes	—
558	C₂²×D₆₇	C₂⁵	1	2	yes	—
559	Q₈×C₆₇	—	2	8	no	—
560	Q₈×C₆₇	—	2	8	no	—
561	Q₈×C₆₇	—	4	8	no	—
562	D₄×C₆₇	—	2	8	no	—
563	D₄×C₆₇	—	2	8	no	—
564	D₄×C₆₇	—	4	8	no	—
565	C₂×C₄×C₆₇	—	2	2	no	—
566	C₂×C₄×C₆₇	—	2	2	no	—
567	C₂×C₄×C₆₇	—	2	8	no	—
568	C₂×C₄×C₆₇	—	2	2	no	—
569	C₂×C₄×C₆₇	—	2	4	no	—
570	C₂×C₄×C₆₇	—	2	4	no	—
571	C₂×C₄×C₆₇	—	2	2	no	—
572	C₂×C₄×C₆₇	—	2	2	no	—
573	C₂×C₄×C₆₇	—	2	8	no	—
574	C₂×C₄×C₆₇	—	4	4	no	—
575	C₂×C₄×C₆₇	—	4	8	no	—
576	C₂×C₄×C₆₇	H(5,𝔽₂)	1	4	yes	—
577	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
578	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
579	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
580	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
581	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
582	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
583	C₂×C₄×C₆₇	C₂⁵	1	4	yes	—
584	C₂×C₄×C₆₇	C₂⁵	1	2	yes	—
585	C₂²⋊D₆₇	—	2	16	no	—
586	C₂²⋊D₆₇	—	2	8	no	—
587	C₂²⋊D₆₇	—	2	16	no	—
588	C₂²⋊D₆₇	—	2	16	no	—
589	C₂²⋊D₆₇	—	4	8	no	—
590	C₂²⋊D₆₇	—	4	8	no	—
591	C₂²⋊D₆₇	—	4	8	no	—
592	C₂²⋊D₆₇	—	4	8	no	—
593	C₂²⋊D₆₇	C₂×#41	1	16	yes	complemented
594	C₂×Dic₆₇	—	2	2	no	—
595	C₂×Dic₆₇	—	2	4	no	—
596	C₂×Dic₆₇	—	2	2	no	—
597	C₂×Dic₆₇	—	2	2	no	—
598	C₂×Dic₆₇	—	2	4	no	—
599	C₂×Dic₆₇	—	2	2	no	—
600	C₂×Dic₆₇	—	2	4	no	—
601	C₂×Dic₆₇	—	2	2	no	—
602	C₂×Dic₆₇	—	2	16	no	—
603	C₂×Dic₆₇	—	4	8	no	—
604	C₂×Dic₆₇	—	4	8	no	—
605	C₂×Dic₆₇	C₂×#41	1	4	yes	—
606	C₂×Dic₆₇	C₂⁵	1	2	yes	—
607	C₂×Dic₆₇	C₂⁵	1	2	yes	—
608	C₂×Dic₆₇	C₂⁵	1	4	yes	—
609	C₂×Dic₆₇	C₂⁵	1	2	yes	—
610	C₂×Dic₆₇	C₂⁵	1	2	yes	—
611	C₂×Dic₆₇	C₂⁵	1	2	yes	—
612	C₂×Dic₆₇	C₂⁵	1	4	yes	—
613	C₂×Dic₆₇	C₂⁵	1	4	yes	—
614	C₂×Dic₆₇	C₂⁵	1	2	yes	—
615	D₂₆₈	—	2	8	no	—
616	D₂₆₈	—	2	8	no	—
617	D₂₆₈	—	4	8	no	—
618	C₄×D₆₇	—	2	8	no	—
619	C₄×D₆₇	—	2	8	no	—
620	C₄×D₆₇	—	2	8	no	—
621	C₄×D₆₇	—	2	8	no	—
622	C₄×D₆₇	—	4	4	no	—
623	C₄×D₆₇	—	4	8	no	—
624	C₄×D₆₇	—	4	4	no	—
625	C₄×D₆₇	—	4	8	no	—
626	C₄×D₆₇	—	4	8	no	—
627	Dic₁₃₄	—	2	8	no	—
628	Dic₁₃₄	—	2	8	no	—
629	Dic₁₃₄	—	4	8	no	—
630	C₂²×C₆₇	—	2	2	no	—
631	C₂²×C₆₇	—	2	2	no	—
632	C₂²×C₆₇	—	2	8	no	—
633	C₂²×C₆₇	—	2	4	no	—
634	C₂²×C₆₇	—	2	4	no	—
635	C₂²×C₆₇	—	2	4	no	—
636	C₂²×C₆₇	—	2	4	no	—
637	C₂²×C₆₇	—	2	4	no	—
638	C₂²×C₆₇	—	2	4	no	—
639	C₂²×C₆₇	—	4	8	no	—
640	C₂²×C₆₇	—	4	8	no	—
641	C₂²×C₆₇	—	8	16	no	—
642	C₂²×C₆₇	C₂²×#41	1	4	yes	—
643	C₂²×C₆₇	C₂²×#41	1	2	yes	—
644	C₂²×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
645	C₂²×C₆₇	#585	1	2	yes	—
646	C₂²×C₆₇	C₂⁶	1	1	yes	characteristic
647	C₂×D₆₇	—	2	2	no	—
648	C₂×D₆₇	—	2	2	no	—
649	C₂×D₆₇	—	2	8	no	—
650	C₂×D₆₇	—	2	2	no	—
651	C₂×D₆₇	—	2	4	no	—
652	C₂×D₆₇	—	2	2	no	—
653	C₂×D₆₇	—	2	4	no	—
654	C₂×D₆₇	—	2	2	no	—
655	C₂×D₆₇	—	2	4	no	—
656	C₂×D₆₇	—	4	4	no	—
657	C₂×D₆₇	—	4	8	no	—
658	C₂×D₆₇	—	8	16	no	—
659	C₂×D₆₇	C₂²×#41	1	4	yes	—
660	C₄×C₆₇	—	2	2	no	—
661	C₄×C₆₇	—	2	2	no	—
662	C₄×C₆₇	—	2	4	no	—
663	C₄×C₆₇	—	2	4	no	—
664	C₄×C₆₇	—	2	2	no	—
665	C₄×C₆₇	—	2	2	no	—
666	C₄×C₆₇	—	2	2	no	—
667	C₄×C₆₇	C₂×H(5,𝔽₂)	1	4	yes	—
668	Dic₆₇	—	2	2	no	—
669	Dic₆₇	—	2	4	no	—
670	Dic₆₇	—	2	4	no	—
671	Dic₆₇	—	2	2	no	—
672	Dic₆₇	—	2	2	no	—
673	Dic₆₇	—	2	2	no	—
674	Dic₆₇	—	2	4	no	—
675	Dic₆₇	—	2	2	no	—
676	Dic₆₇	C₂²×#41	1	4	yes	—
677	C₂×#3514	—	67	1	no	maximal, Sylow
678	C₂×C₆₇	—	2	4	no	—
679	C₂×C₆₇	—	4	4	no	—
680	C₂×C₆₇	—	4	4	no	—
681	C₂×C₆₇	#3514	1	4	yes	complemented
682	C₂×C₆₇	C₂³×#41	1	1	yes	characteristic
683	C₂×C₆₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
684	C₂×C₆₇	C₂×#585	1	1	yes	characteristic
685	D₆₇	—	2	4	no	—
686	D₆₇	—	4	2	no	—
687	D₆₇	—	4	4	no	—
688	#3514	—	67	32	no	—
689	C₂×#559	—	67	1	no	—
690	C₂×#556	—	67	1	no	—
691	C₂×#555	—	67	2	no	—
692	C₂×#551	—	67	2	no	—
693	C₂×#551	—	67	2	no	—
694	C₂×D₄×Q₈	—	67	1	no	—
695	C₂×#548	—	67	1	no	—
696	C₂×#548	—	67	1	no	—
697	C₂×#546	—	67	1	no	—
698	C₂×#546	—	67	1	no	—
699	C₂×#546	—	67	2	no	—
700	C₂×D₄²	—	67	1	no	—
701	C₂×#542	—	67	2	no	—
702	C₂×#538	—	67	2	no	—
703	C₂×#538	—	67	2	no	—
704	C₂×#532	—	67	1	no	—
705	C₂×#529	—	67	1	no	—
706	C₂×#529	—	67	1	no	—
707	C₂×#529	—	67	1	no	—
708	C₂²×#124	—	67	1	no	—
709	C₂²×#124	D₆₇	1	1	yes	characteristic, complemented
710	C₂×#518	—	67	2	no	—
711	C₂×C₄×#41	—	67	1	no	—
712	C₆₇	C₂×#3514	1	1	yes	characteristic, complemented, Sylow
713	C₂²×#41	—	67	1	no	—
714	C₂²×#41	—	67	1	no	—
715	C₂²×#41	—	67	1	no	—
716	C₂³×Q₈	—	67	1	no	—
717	C₂³×Q₈	C₂×D₆₇	1	1	yes	characteristic, complemented
718	C₂³×D₄	—	67	1	no	—
719	C₂³×D₄	—	67	2	no	—
720	C₂³×D₄	C₂×D₆₇	1	1	yes	characteristic
721	#559	—	67	16	no	—
722	#556	—	67	16	no	—
723	#555	—	67	32	no	—
724	#551	—	67	32	no	—
725	#551	—	67	32	no	—
726	D₄×Q₈	—	67	16	no	—
727	#548	—	67	16	no	—
728	#548	—	67	16	no	—
729	#546	—	67	16	no	—
730	#546	—	67	16	no	—
731	#546	—	67	32	no	—
732	D₄²	—	67	16	no	—
733	#542	—	67	32	no	—
734	#538	—	67	32	no	—
735	#538	—	67	32	no	—
736	#532	—	67	16	no	—
737	C₂×C₄⋊Q₈	—	67	1	no	—
738	C₂×C₄⋊Q₈	—	67	2	no	—
739	C₂×#127	—	67	1	no	—
740	#529	—	67	16	no	—
741	#529	—	67	16	no	—
742	#529	—	67	16	no	—
743	C₂×#126	—	67	2	no	—
744	C₂×#126	—	67	2	no	—
745	C₂×#126	—	67	2	no	—
746	C₂×#126	—	67	2	no	—
747	C₂×#126	—	67	2	no	—
748	C₂×#125	—	67	1	no	—
749	C₂×#124	—	67	1	no	—
750	C₂×#124	—	67	2	no	—
751	C₂×#124	—	67	1	no	—
752	C₂×#124	—	67	16	no	—
753	C₂×#124	—	67	2	no	—
754	C₂×#124	—	67	2	no	—
755	C₂×#124	—	67	2	no	—
756	C₂×#124	—	67	2	no	—
757	C₂×#124	—	67	1	no	—
758	C₂×#124	C₂×D₆₇	1	1	yes	characteristic
759	C₂×#124	C₂×D₆₇	1	1	yes	characteristic
760	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
761	C₂×#124	C₂×D₆₇	1	2	yes	complemented
762	C₂×#124	C₂×D₆₇	1	1	yes	characteristic, complemented
763	C₂×#124	C₂×D₆₇	1	2	yes	complemented
764	C₂×#124	C₂×D₆₇	1	16	yes	complemented
765	C₂×#123	—	67	2	no	—
766	C₂×#123	—	67	2	no	—
767	C₂×#123	—	67	2	no	—
768	C₂×#123	—	67	2	no	—
769	C₂×#123	—	67	2	no	—
770	C₂×#123	—	67	2	no	—
771	C₂×#123	—	67	2	no	—
772	C₂×C₂²⋊Q₈	—	67	1	no	—
773	C₂×C₂²⋊Q₈	—	67	1	no	—
774	C₂×C₂²⋊Q₈	—	67	2	no	—
775	C₂×C₂²⋊Q₈	—	67	2	no	—
776	C₂×C₂²⋊Q₈	—	67	1	no	—
777	C₂×C₂²⋊Q₈	—	67	2	no	—
778	C₂×C₂²⋊Q₈	—	67	2	no	—
779	C₂×C₂²⋊Q₈	—	67	2	no	—
780	C₂×#121	—	67	1	no	—
781	C₂×#121	—	67	1	no	—
782	C₂×#121	—	67	2	no	—
783	C₂×#121	—	67	2	no	—
784	C₂×#121	—	67	1	no	—
785	C₂×#121	—	67	2	no	—
786	C₂×#121	—	67	2	no	—
787	C₂×#121	—	67	2	no	—
788	C₂×#121	—	67	2	no	—
789	C₂×#121	—	67	2	no	—
790	C₂×#120	—	67	2	no	—
791	C₂×#120	—	67	2	no	—
792	C₂×#120	—	67	2	no	—
793	C₂×#120	—	67	2	no	—
794	#518	—	67	32	no	—
795	C₄×#41	—	67	16	no	—
796	C₂×C₄×Q₈	—	67	1	no	—
797	C₂×C₄×Q₈	—	67	1	no	—
798	C₂×C₄×Q₈	—	67	1	no	—
799	C₂×C₄×Q₈	—	67	1	no	—
800	C₂×C₄×Q₈	—	67	1	no	—
801	C₂×C₄×D₄	—	67	1	no	—
802	C₂×C₄×D₄	—	67	1	no	—
803	C₂×C₄×D₄	—	67	1	no	—
804	C₂×C₄×D₄	—	67	1	no	—
805	C₂×C₄×D₄	—	67	1	no	—
806	C₂×C₄×D₄	—	67	1	no	—
807	C₂×C₄×D₄	—	67	2	no	—
808	C₂×C₄×D₄	—	67	2	no	—
809	C₂×C₄×D₄	—	67	2	no	—
810	C₂×C₄×D₄	—	67	2	no	—
811	C₂×C₄×D₄	—	67	2	no	—
812	C₂×C₄×D₄	—	67	2	no	—
813	C₂×C₄×D₄	—	67	2	no	—
814	C₂×C₄×D₄	—	67	2	no	—
815	C₂×C₄×D₄	—	67	2	no	—
816	C₂×C₄×D₄	—	67	1	no	—
817	C₂×C₄×D₄	—	67	1	no	—
818	C₂×C₄×D₄	—	67	1	no	—
819	C₂×#117	—	67	1	no	—
820	C₂×#117	—	67	2	no	—
821	C₂×#117	—	67	2	no	—
822	C₂×#117	—	67	2	no	—
823	C₂×#117	—	67	1	no	—
824	C₂×#117	—	67	1	no	—
825	C₂×#117	—	67	2	no	—
826	C₂²×C₂²⋊C₄	—	67	2	no	—
827	C₂²×C₂²⋊C₄	—	67	2	no	—
828	C₂²×C₂²⋊C₄	—	67	2	no	—
829	C₂²×C₂²⋊C₄	—	67	2	no	—
830	C₂²×C₂²⋊C₄	C₂×D₆₇	1	2	yes	complemented
831	C₂²×C₂²⋊C₄	C₂×D₆₇	1	2	yes	complemented
832	C₂²×C₄²	—	67	1	no	—
833	C₂²×C₄²	—	67	1	no	—
834	C₂²×C₄²	C₂×D₆₇	1	1	yes	characteristic, complemented
835	C₂⁵	—	67	2	no	—
836	C₂⁵	C₂²×D₆₇	1	2	yes	—
837	C₂×#41	—	268	4	no	—
838	C₂×#41	—	268	4	no	—
839	C₂×#41	—	67	8	no	—
840	C₂×#41	—	67	8	no	—
841	C₂×#41	—	67	8	no	—
842	C₂×#41	—	134	8	no	—
843	C₂²×Q₈	—	4	4	no	—
844	C₂²×Q₈	—	268	4	no	—
845	C₂²×Q₈	—	67	8	no	—
846	C₂²×Q₈	—	67	2	no	—
847	C₂²×Q₈	—	67	1	no	—
848	C₂²×Q₈	—	67	1	no	—
849	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
850	C₂²×Q₈	C₂²×D₆₇	1	1	yes	characteristic
851	C₂²×Q₈	C₂²×D₆₇	1	2	yes	—
852	C₂²×Q₈	C₂²×D₆₇	1	8	yes	complemented
853	C₂²×D₄	—	4	4	no	—
854	C₂²×D₄	—	268	4	no	—
855	C₂²×D₄	—	67	2	no	—
856	C₂²×D₄	—	67	2	no	—
857	C₂²×D₄	—	67	2	no	—
858	C₂²×D₄	—	67	2	no	—
859	C₂²×D₄	—	67	8	no	—
860	C₂²×D₄	—	67	1	no	—
861	C₂²×D₄	—	67	1	no	—
862	C₂²×D₄	—	67	2	no	—
863	C₂²×D₄	—	67	2	no	—
864	C₂²×D₄	—	67	2	no	—
865	C₂²×D₄	—	67	16	no	—
866	C₂²×D₄	—	67	2	no	—
867	C₂²×D₄	—	67	1	no	—
868	C₂²×D₄	—	67	1	no	—
869	C₂²×D₄	—	134	16	no	—
870	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
871	C₂²×D₄	C₂²×D₆₇	1	1	yes	characteristic
872	C₂²×D₄	C₂²×D₆₇	1	2	yes	—
873	C₂²×D₄	C₂²×D₆₇	1	8	yes	—
874	C₂³×C₄	—	67	2	no	—
875	C₂³×C₄	—	67	2	no	—
876	C₂³×C₄	—	67	1	no	—
877	C₂³×C₄	—	67	2	no	—
878	C₂³×C₄	—	67	2	no	—
879	C₂³×C₄	—	67	2	no	—
880	C₂³×C₄	—	67	1	no	—
881	C₂³×C₄	—	67	2	no	—
882	C₂³×C₄	—	67	1	no	—
883	C₂³×C₄	—	67	1	no	—
884	C₂³×C₄	—	67	1	no	—
885	C₂³×C₄	—	67	1	no	—
886	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
887	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
888	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
889	C₂³×C₄	C₂²×D₆₇	1	2	yes	—
890	C₄⋊Q₈	—	67	8	no	—
891	C₄⋊Q₈	—	67	16	no	—
892	#127	—	67	8	no	—
893	#126	—	67	16	no	—
894	#126	—	67	16	no	—
895	#126	—	67	16	no	—
896	#126	—	67	16	no	—
897	#126	—	67	16	no	—
898	#125	—	67	8	no	—
899	#124	—	67	8	no	—
900	#124	—	67	16	no	—
901	#124	—	67	8	no	—
902	#124	—	67	16	no	—
903	#124	—	67	16	no	—
904	#124	—	67	16	no	—
905	#124	—	67	16	no	—
906	#124	—	67	8	no	—
907	#124	C₂²×D₆₇	1	8	yes	—
908	#124	C₂²×D₆₇	1	8	yes	—
909	#124	C₂²×D₆₇	1	8	yes	complemented
910	#124	C₂²×D₆₇	1	16	yes	complemented
911	#124	C₂²×D₆₇	1	8	yes	complemented
912	#124	C₂²×D₆₇	1	16	yes	complemented
913	#123	—	67	16	no	—
914	#123	—	67	16	no	—
915	#123	—	67	16	no	—
916	#123	—	67	16	no	—
917	#123	—	67	16	no	—
918	#123	—	67	16	no	—
919	#123	—	67	16	no	—
920	C₂²⋊Q₈	—	67	8	no	—
921	C₂²⋊Q₈	—	67	8	no	—
922	C₂²⋊Q₈	—	67	16	no	—
923	C₂²⋊Q₈	—	67	16	no	—
924	C₂²⋊Q₈	—	67	8	no	—
925	C₂²⋊Q₈	—	67	16	no	—
926	C₂²⋊Q₈	—	67	16	no	—
927	C₂²⋊Q₈	—	67	16	no	—
928	#121	—	67	8	no	—
929	#121	—	67	8	no	—
930	#121	—	67	16	no	—
931	#121	—	67	16	no	—
932	#121	—	67	8	no	—
933	#121	—	67	16	no	—
934	#121	—	67	16	no	—
935	#121	—	67	16	no	—
936	#121	—	67	16	no	—
937	#121	—	67	16	no	—
938	#120	—	67	16	no	—
939	#120	—	67	16	no	—
940	#120	—	67	16	no	—
941	#120	—	67	16	no	—
942	C₄×Q₈	—	67	8	no	—
943	C₄×Q₈	—	67	8	no	—
944	C₄×Q₈	—	67	8	no	—
945	C₄×Q₈	—	67	8	no	—
946	C₄×Q₈	—	67	8	no	—
947	C₄×D₄	—	67	8	no	—
948	C₄×D₄	—	67	8	no	—
949	C₄×D₄	—	67	8	no	—
950	C₄×D₄	—	67	8	no	—
951	C₄×D₄	—	67	8	no	—
952	C₄×D₄	—	67	8	no	—
953	C₄×D₄	—	67	16	no	—
954	C₄×D₄	—	67	16	no	—
955	C₄×D₄	—	67	16	no	—
956	C₄×D₄	—	67	16	no	—
957	C₄×D₄	—	67	16	no	—
958	C₄×D₄	—	67	16	no	—
959	C₄×D₄	—	67	16	no	—
960	C₄×D₄	—	67	16	no	—
961	C₄×D₄	—	67	16	no	—
962	C₄×D₄	—	67	8	no	—
963	C₄×D₄	—	67	8	no	—
964	C₄×D₄	—	67	8	no	—
965	#117	—	67	8	no	—
966	#117	—	67	16	no	—
967	#117	—	67	16	no	—
968	#117	—	67	16	no	—
969	#117	—	67	8	no	—
970	#117	—	67	8	no	—
971	#117	—	67	16	no	—
972	C₂×C₄⋊C₄	—	67	1	no	—
973	C₂×C₄⋊C₄	—	67	2	no	—
974	C₂×C₄⋊C₄	—	67	2	no	—
975	C₂×C₄⋊C₄	—	67	2	no	—
976	C₂×C₄⋊C₄	—	67	2	no	—
977	C₂×C₄⋊C₄	—	67	1	no	—
978	C₂×C₄⋊C₄	—	67	1	no	—
979	C₂×C₄⋊C₄	—	67	1	no	—
980	C₂×C₄⋊C₄	—	67	1	no	—
981	C₂×C₄⋊C₄	—	67	1	no	—
982	C₂×C₄⋊C₄	—	67	2	no	—
983	C₂×C₄⋊C₄	—	67	2	no	—
984	C₂×C₄⋊C₄	—	67	1	no	—
985	C₂×C₄⋊C₄	—	67	1	no	—
986	C₂×C₄⋊C₄	—	67	2	no	—
987	C₂×C₄⋊C₄	—	67	2	no	—
988	C₂×C₄⋊C₄	—	67	2	no	—
989	C₂×C₄⋊C₄	—	67	2	no	—
990	C₂×C₂²⋊C₄	—	67	1	no	—
991	C₂×C₂²⋊C₄	—	67	2	no	—
992	C₂×C₂²⋊C₄	—	67	2	no	—
993	C₂×C₂²⋊C₄	—	67	2	no	—
994	C₂×C₂²⋊C₄	—	67	16	no	—
995	C₂×C₂²⋊C₄	—	67	2	no	—
996	C₂×C₂²⋊C₄	—	67	1	no	—
997	C₂×C₂²⋊C₄	—	67	2	no	—
998	C₂×C₂²⋊C₄	—	67	2	no	—
999	C₂×C₂²⋊C₄	—	67	2	no	—
1000	C₂×C₂²⋊C₄	—	67	1	no	—
1001	C₂×C₂²⋊C₄	—	67	2	no	—
1002	C₂×C₂²⋊C₄	—	67	2	no	—
1003	C₂×C₂²⋊C₄	—	67	2	no	—
1004	C₂×C₂²⋊C₄	—	67	2	no	—
1005	C₂×C₂²⋊C₄	—	67	2	no	—
1006	C₂×C₂²⋊C₄	—	67	1	no	—
1007	C₂×C₂²⋊C₄	—	67	1	no	—
1008	C₂×C₂²⋊C₄	—	67	1	no	—
1009	C₂×C₂²⋊C₄	—	67	2	no	—
1010	C₂×C₂²⋊C₄	—	67	2	no	—
1011	C₂×C₂²⋊C₄	—	67	2	no	—
1012	C₂×C₂²⋊C₄	—	67	16	no	—
1013	C₂×C₂²⋊C₄	—	67	16	no	—
1014	C₂×C₂²⋊C₄	—	67	16	no	—
1015	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1016	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1017	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1018	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1019	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1020	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1021	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1022	C₂×C₂²⋊C₄	C₂²×D₆₇	1	2	yes	—
1023	C₂×C₂²⋊C₄	C₂²×D₆₇	1	16	yes	complemented
1024	C₂×C₂²⋊C₄	C₂²×D₆₇	1	16	yes	complemented
1025	C₂×C₄²	—	67	1	no	—
1026	C₂×C₄²	—	67	1	no	—
1027	C₂×C₄²	—	67	2	no	—
1028	C₂×C₄²	—	67	2	no	—
1029	C₂×C₄²	—	67	1	no	—
1030	C₂×C₄²	—	67	2	no	—
1031	C₂×C₄²	—	67	1	no	—
1032	C₂×C₄²	—	67	1	no	—
1033	C₂×C₄²	—	67	1	no	—
1034	C₂×C₄²	—	67	8	no	—
1035	C₂×C₄²	—	67	8	no	—
1036	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1037	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1038	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1039	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1040	C₂×C₄²	C₂²×D₆₇	1	8	yes	complemented
1041	C₂⁴	—	2	8	no	—
1042	C₂⁴	—	4	4	no	—
1043	C₂⁴	—	4	4	no	—
1044	C₂⁴	—	268	4	no	—
1045	C₂⁴	—	268	4	no	—
1046	C₂⁴	—	67	8	no	—
1047	C₂⁴	—	67	1	no	—
1048	C₂⁴	—	67	2	no	—
1049	C₂⁴	—	67	1	no	—
1050	C₂⁴	—	134	8	no	—
1051	C₂⁴	C₂³×D₆₇	1	2	yes	—
1052	C₂⁴	C₂³×D₆₇	1	2	yes	—
1053	C₂⁴	C₂³×D₆₇	1	1	yes	characteristic
1054	C₂⁴	C₂³×D₆₇	1	8	yes	—
1055	#41	—	268	16	no	—
1056	#41	—	268	16	no	—
1057	#41	—	134	32	no	—
1058	C₂×Q₈	—	2	4	no	—
1059	C₂×Q₈	—	2	4	no	—
1060	C₂×Q₈	—	4	4	no	—
1061	C₂×Q₈	—	4	16	no	—
1062	C₂×Q₈	—	268	4	no	—
1063	C₂×Q₈	—	268	16	no	—
1064	C₂×Q₈	—	67	8	no	—
1065	C₂×Q₈	—	67	4	no	—
1066	C₂×Q₈	—	67	4	no	—
1067	C₂×Q₈	—	134	4	no	—
1068	C₂×Q₈	—	134	4	no	—
1069	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1070	C₂×Q₈	C₂³×D₆₇	1	4	yes	—
1071	C₂×Q₈	C₂³×D₆₇	1	8	yes	—
1072	C₂×D₄	—	2	4	no	—
1073	C₂×D₄	—	2	4	no	—
1074	C₂×D₄	—	4	16	no	—
1075	C₂×D₄	—	4	4	no	—
1076	C₂×D₄	—	268	4	no	—
1077	C₂×D₄	—	268	16	no	—
1078	C₂×D₄	—	268	4	no	—
1079	C₂×D₄	—	268	4	no	—
1080	C₂×D₄	—	268	4	no	—
1081	C₂×D₄	—	268	4	no	—
1082	C₂×D₄	—	67	8	no	—
1083	C₂×D₄	—	67	8	no	—
1084	C₂×D₄	—	67	8	no	—
1085	C₂×D₄	—	67	8	no	—
1086	C₂×D₄	—	67	8	no	—
1087	C₂×D₄	—	67	4	no	—
1088	C₂×D₄	—	67	4	no	—
1089	C₂×D₄	—	67	8	no	—
1090	C₂×D₄	—	67	8	no	—
1091	C₂×D₄	—	67	8	no	—
1092	C₂×D₄	—	67	8	no	—
1093	C₂×D₄	—	67	4	no	—
1094	C₂×D₄	—	67	4	no	—
1095	C₂×D₄	—	134	4	no	—
1096	C₂×D₄	—	134	8	no	—
1097	C₂×D₄	—	134	64	no	—
1098	C₂×D₄	—	134	8	no	—
1099	C₂×D₄	—	134	8	no	—
1100	C₂×D₄	—	134	4	no	—
1101	C₂×D₄	—	134	4	no	—
1102	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1103	C₂×D₄	C₂³×D₆₇	1	4	yes	—
1104	C₂×D₄	C₂³×D₆₇	1	8	yes	—
1105	C₂²×C₄	—	2	4	no	—
1106	C₂²×C₄	—	2	4	no	—
1107	C₂²×C₄	—	4	4	no	—
1108	C₂²×C₄	—	4	2	no	—
1109	C₂²×C₄	—	268	4	no	—
1110	C₂²×C₄	—	268	4	no	—
1111	C₂²×C₄	—	268	2	no	—
1112	C₂²×C₄	—	268	4	no	—
1113	C₂²×C₄	—	268	2	no	—
1114	C₂²×C₄	—	268	4	no	—
1115	C₂²×C₄	—	268	4	no	—
1116	C₂²×C₄	—	67	8	no	—
1117	C₂²×C₄	—	67	8	no	—
1118	C₂²×C₄	—	67	4	no	—
1119	C₂²×C₄	—	67	4	no	—
1120	C₂²×C₄	—	67	8	no	—
1121	C₂²×C₄	—	67	8	no	—
1122	C₂²×C₄	—	67	8	no	—
1123	C₂²×C₄	—	67	1	no	—
1124	C₂²×C₄	—	67	8	no	—
1125	C₂²×C₄	—	67	1	no	—
1126	C₂²×C₄	—	67	1	no	—
1127	C₂²×C₄	—	67	2	no	—
1128	C₂²×C₄	—	67	1	no	—
1129	C₂²×C₄	—	67	1	no	—
1130	C₂²×C₄	—	67	1	no	—
1131	C₂²×C₄	—	67	2	no	—
1132	C₂²×C₄	—	67	2	no	—
1133	C₂²×C₄	—	67	4	no	—
1134	C₂²×C₄	—	67	4	no	—
1135	C₂²×C₄	—	67	4	no	—
1136	C₂²×C₄	—	67	4	no	—
1137	C₂²×C₄	—	134	4	no	—
1138	C₂²×C₄	—	134	4	no	—
1139	C₂²×C₄	—	134	8	no	—
1140	C₂²×C₄	—	134	4	no	—
1141	C₂²×C₄	—	134	4	no	—
1142	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1143	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1144	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1148	C₂²×C₄	C₂³×D₆₇	1	2	yes	—
1149	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₆₇	1	4	yes	—
1152	C₂²×C₄	C₂³×D₆₇	1	8	yes	—
1153	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1154	C₄⋊C₄	—	67	4	no	—
1155	C₄⋊C₄	—	67	8	no	—
1156	C₄⋊C₄	—	67	8	no	—
1157	C₄⋊C₄	—	67	8	no	—
1158	C₄⋊C₄	—	67	8	no	—
1159	C₄⋊C₄	—	67	4	no	—
1160	C₄⋊C₄	—	67	4	no	—
1161	C₄⋊C₄	—	67	4	no	—
1162	C₄⋊C₄	—	67	4	no	—
1163	C₄⋊C₄	—	67	4	no	—
1164	C₄⋊C₄	—	67	8	no	—
1165	C₄⋊C₄	—	67	8	no	—
1166	C₄⋊C₄	—	67	4	no	—
1167	C₄⋊C₄	—	67	4	no	—
1168	C₄⋊C₄	—	67	8	no	—
1169	C₄⋊C₄	—	67	8	no	—
1170	C₄⋊C₄	—	67	8	no	—
1171	C₄⋊C₄	—	67	8	no	—
1172	C₂²⋊C₄	—	67	4	no	—
1173	C₂²⋊C₄	—	67	8	no	—
1174	C₂²⋊C₄	—	67	8	no	—
1175	C₂²⋊C₄	—	67	8	no	—
1176	C₂²⋊C₄	—	67	8	no	—
1177	C₂²⋊C₄	—	67	4	no	—
1178	C₂²⋊C₄	—	67	8	no	—
1179	C₂²⋊C₄	—	67	8	no	—
1180	C₂²⋊C₄	—	67	8	no	—
1181	C₂²⋊C₄	—	67	4	no	—
1182	C₂²⋊C₄	—	67	8	no	—
1183	C₂²⋊C₄	—	67	8	no	—
1184	C₂²⋊C₄	—	67	8	no	—
1185	C₂²⋊C₄	—	67	8	no	—
1186	C₂²⋊C₄	—	67	8	no	—
1187	C₂²⋊C₄	—	67	4	no	—
1188	C₂²⋊C₄	—	67	4	no	—
1189	C₂²⋊C₄	—	67	4	no	—
1190	C₂²⋊C₄	—	67	8	no	—
1191	C₂²⋊C₄	—	67	8	no	—
1192	C₂²⋊C₄	—	67	8	no	—
1193	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1194	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1195	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1196	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1197	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1198	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1199	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1200	C₂²⋊C₄	C₂³×D₆₇	1	8	yes	—
1201	C₄²	—	67	4	no	—
1202	C₄²	—	67	4	no	—
1203	C₄²	—	67	4	no	—
1204	C₄²	—	67	4	no	—
1205	C₄²	—	67	4	no	—
1206	C₄²	—	67	4	no	—
1207	C₄²	—	67	8	no	—
1208	C₄²	—	67	8	no	—
1209	C₄²	—	67	8	no	—
1210	C₄²	C₂³×D₆₇	1	4	yes	—
1211	C₄²	C₂³×D₆₇	1	4	yes	—
1212	C₄²	C₂³×D₆₇	1	4	yes	—
1213	C₄²	C₂³×D₆₇	1	4	yes	—
1214	C₂³	—	2	2	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	4	no	—
1219	C₂³	—	2	4	no	—
1220	C₂³	—	2	4	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	16	no	—
1223	C₂³	—	4	8	no	—
1224	C₂³	—	4	8	no	—
1225	C₂³	—	8	16	no	—
1226	C₂³	—	268	8	no	—
1227	C₂³	—	268	8	no	—
1228	C₂³	—	536	16	no	—
1229	C₂³	—	67	4	no	—
1230	C₂³	—	67	2	no	—
1231	C₂³	—	67	4	no	—
1232	C₂³	—	67	2	no	—
1233	C₂³	—	134	16	no	—
1234	C₂³	—	134	2	no	—
1235	C₂³	—	134	4	no	—
1236	C₂³	—	134	4	no	—
1237	C₂³	—	134	2	no	—
1238	C₂³	—	134	2	no	—
1239	C₂³	—	134	4	no	—
1240	C₂³	—	134	2	no	—
1241	C₂³	—	134	2	no	—
1242	C₂³	#41×D₆₇	1	4	yes	—
1243	C₂³	C₂⁴×D₆₇	1	4	yes	—
1244	C₂³	C₂⁴×D₆₇	1	4	yes	—
1245	C₂³	C₂⁴×D₆₇	1	2	yes	—
1246	C₂³	C₂⁴×D₆₇	1	1	yes	characteristic
1247	Q₈	—	2	8	no	—
1248	Q₈	—	2	8	no	—
1249	Q₈	—	4	8	no	—
1250	Q₈	—	268	8	no	—
1251	Q₈	—	134	8	no	—
1252	Q₈	—	134	8	no	—
1253	D₄	—	2	8	no	—
1254	D₄	—	2	8	no	—
1255	D₄	—	4	8	no	—
1256	D₄	—	268	8	no	—
1257	D₄	—	268	8	no	—
1258	D₄	—	268	8	no	—
1259	D₄	—	268	8	no	—
1260	D₄	—	268	8	no	—
1261	D₄	—	67	16	no	—
1262	D₄	—	134	8	no	—
1263	D₄	—	134	16	no	—
1264	D₄	—	134	16	no	—
1265	D₄	—	134	16	no	—
1266	D₄	—	134	8	no	—
1267	D₄	—	134	8	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	8	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	8	no	—
1277	C₂×C₄	—	4	8	no	—
1278	C₂×C₄	—	4	4	no	—
1279	C₂×C₄	—	268	8	no	—
1280	C₂×C₄	—	268	8	no	—
1281	C₂×C₄	—	268	4	no	—
1282	C₂×C₄	—	268	8	no	—
1283	C₂×C₄	—	268	4	no	—
1284	C₂×C₄	—	268	8	no	—
1285	C₂×C₄	—	268	8	no	—
1286	C₂×C₄	—	67	4	no	—
1287	C₂×C₄	—	67	2	no	—
1288	C₂×C₄	—	67	2	no	—
1289	C₂×C₄	—	67	2	no	—
1290	C₂×C₄	—	67	4	no	—
1291	C₂×C₄	—	67	2	no	—
1292	C₂×C₄	—	67	2	no	—
1293	C₂×C₄	—	67	2	no	—
1294	C₂×C₄	—	67	4	no	—
1295	C₂×C₄	—	67	4	no	—
1296	C₂×C₄	—	134	8	no	—
1297	C₂×C₄	—	134	8	no	—
1298	C₂×C₄	—	134	16	no	—
1299	C₂×C₄	—	134	4	no	—
1300	C₂×C₄	—	134	2	no	—
1301	C₂×C₄	—	134	2	no	—
1302	C₂×C₄	—	134	4	no	—
1303	C₂×C₄	—	134	2	no	—
1304	C₂×C₄	—	134	2	no	—
1305	C₂×C₄	—	134	4	no	—
1306	C₂×C₄	—	134	2	no	—
1307	C₂×C₄	—	134	8	no	—
1308	C₂×C₄	—	134	8	no	—
1309	C₂×C₄	#14524088	1	4	yes	—
1310	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1311	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1312	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1313	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1314	C₂×C₄	C₂⁴×D₆₇	1	4	yes	—
1315	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1316	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1317	C₂×C₄	C₂⁴×D₆₇	1	2	yes	—
1318	C₂²	—	2	8	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	2	no	—
1321	C₂²	—	2	4	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	4	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	4	no	—
1326	C₂²	—	2	4	no	—
1327	C₂²	—	4	8	no	—
1328	C₂²	—	4	8	no	—
1329	C₂²	—	8	16	no	—
1330	C₂²	—	268	8	no	—
1331	C₂²	—	268	4	no	—
1332	C₂²	—	536	16	no	—
1333	C₂²	—	67	4	no	—
1334	C₂²	—	134	2	no	—
1335	C₂²	—	134	4	no	—
1336	C₂²	—	134	4	no	—
1337	C₂²	—	134	2	no	—
1338	C₂²	—	134	2	no	—
1339	C₂²	—	134	4	no	—
1340	C₂²	—	134	8	no	—
1341	C₂²	—	134	2	no	—
1342	C₂²	—	134	2	no	—
1343	C₂²	C₂×#41×D₆₇	1	4	yes	—
1344	C₂²	C₂×#41×D₆₇	1	2	yes	—
1345	C₂²	C₂×#14524088	1	2	yes	—
1346	C₂²	#16864232	1	2	yes	—
1347	C₂²	C₂⁵×D₆₇	1	1	yes	characteristic
1348	C₄	—	2	2	no	—
1349	C₄	—	2	2	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	4	no	—
1352	C₄	—	2	4	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	67	4	no	—
1356	C₄	—	134	4	no	—
1357	C₄	—	134	2	no	—
1358	C₄	—	134	2	no	—
1359	C₄	—	134	4	no	—
1360	C₄	—	134	2	no	—
1361	C₄	—	134	2	no	—
1362	C₄	—	134	4	no	—
1363	C₄	—	134	2	no	—
1364	C₄	C₂×#14524088	1	4	yes	—
1365	C₂	—	2	4	no	—
1366	C₂	—	4	4	no	—
1367	C₂	—	4	4	no	—
1368	C₂	—	268	4	no	—
1369	C₂	—	268	2	no	—
1370	C₂	—	134	4	no	—
1371	C₂	#22574164	1	4	yes	direct product factor
1372	C₂	C₂²×#41×D₆₇	1	1	yes	characteristic
1373	C₂	C₂²×#14524088	1	1	yes	characteristic
1374	C₂	C₂×#16864232	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₆₇
commutator, cosocle	C₂²×C₆₇	C₂⁶
Frattini	C₂²	C₂⁵×D₆₇
Fitting	C₂²×#124×C₆₇	C₂
socle	C₂³×C₆₇	C₂⁵
hypercenter	C₂²×#124	D₆₇
hypocenter	C₆₇	C₂×#3514
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂³ ◁ C₂²×#124

Complements

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

N	H ≅ G/N	type
1. #22574164	C₂	direct (N × H)
2. C₂×#16864128	C₂	semidirect
3. C₂×#16864115	C₂	semidirect
4. C₂×#16864108	C₂	semidirect
5. C₂×#16864076	C₂	semidirect
6. C₂×#16864072	C₂	semidirect
7. C₂×Q₈×C₂²⋊D₆₇	C₂	semidirect
8. C₂×#16864057	C₂	semidirect
9. C₂×#16864054	C₂	semidirect
10. C₂×#16864040	C₂	semidirect
11. C₂×#16864039	C₂	semidirect
12. C₂×#16864036	C₂	semidirect
13. C₂×D₄×C₂²⋊D₆₇	C₂	semidirect
14. C₂×#16864010	C₂	semidirect
15. C₂×#16863984	C₂	semidirect
16. C₂×#16863980	C₂	semidirect
17. C₂×#16863945	C₂	semidirect
18. C₂×#16863930	C₂	semidirect
19. C₂×#16863925	C₂	semidirect
20. C₂×#16863925	C₂	semidirect
21. C₂×#124×D₆₇	C₂	semidirect
22. C₂×#16863869	C₂	semidirect
23. C₂×C₄×#11761628	C₂	semidirect
24. C₂²×#124×C₆₇	C₂	semidirect
25. C₂²×#11761629	C₂²	semidirect
27. C₂²×#11761627	C₂²	semidirect
28. C₂²×Q₈×D₆₇	C₂²	semidirect
31. #16864128	C₂²	semidirect
32. #16864115	C₂²	semidirect
33. #16864108	C₂²	semidirect
34. #16864076	C₂²	semidirect
35. #16864072	C₂²	semidirect
36. Q₈×C₂²⋊D₆₇	C₂²	semidirect
37. #16864057	C₂²	semidirect
38. #16864054	C₂²	semidirect
39. #16864040	C₂²	semidirect
40. #16864039	C₂²	semidirect
41. #16864036	C₂²	semidirect
42. D₄×C₂²⋊D₆₇	C₂²	semidirect
43. #16864010	C₂²	semidirect
44. #16863984	C₂²	semidirect
45. #16863980	C₂²	semidirect
46. #16863945	C₂²	semidirect
47. C₂×#14524041	C₂²	semidirect
48. C₂×#14524041	C₂²	semidirect
50. #16863930	C₂²	semidirect
51. #16863925	C₂²	semidirect
52. #16863925	C₂²	semidirect
53. C₂×#14524037	C₂²	semidirect
54. C₂×#14524036	C₂²	semidirect
55. C₂×#14524036	C₂²	semidirect
56. C₂×#14524036	C₂²	semidirect
57. C₂×#14524036	C₂²	semidirect
58. C₂×#14524035	C₂²	semidirect
59. C₂×#14524032	C₂²	semidirect
60. C₂×#14524032	C₂²	semidirect
61. C₂×#14524031	C₂²	semidirect
63. C₂×#14524029	C₂²	semidirect
64. C₂×#14524029	C₂²	semidirect
65. C₂×#14524029	C₂²	semidirect
66. C₂×#14524029	C₂²	semidirect
67. #124×D₆₇	C₂²	semidirect
68. C₂×#14524027	C₂²	semidirect
69. C₂×#14524026	C₂²	semidirect
70. C₂×#14524025	C₂²	semidirect
71. C₂×#14524025	C₂²	semidirect
72. C₂×#14524025	C₂²	semidirect
73. C₂×#14524025	C₂²	semidirect
74. C₂×#14524024	C₂²	semidirect
75. C₂×#14524022	C₂²	semidirect
76. C₂×#14524022	C₂²	semidirect
77. C₂×#14524020	C₂²	semidirect
78. C₂×#14524020	C₂²	semidirect
79. C₂×#14524019	C₂²	semidirect
80. C₂×#14524019	C₂²	semidirect
81. C₂×#14524019	C₂²	semidirect
82. C₂×#14524019	C₂²	semidirect
84. C₂×#14524017	C₂²	semidirect
85. C₂×#14524016	C₂²	semidirect
86. C₂×#14524016	C₂²	semidirect
87. C₂×#14524016	C₂²	semidirect
88. C₂×#14524016	C₂²	semidirect
90. C₂×#14524015	C₂²	semidirect
93. C₂×#14524013	C₂²	semidirect
95. C₂×#14524012	C₂²	semidirect
97. #16863869	C₂²	semidirect
98. C₄×#11761628	C₂²	semidirect
99. C₂×Q₈×Dic₆₇	C₂²	semidirect
100. C₂×Q₈×Dic₆₇	C₂²	semidirect
101. C₂×C₄×Dic₁₃₄	C₂²	semidirect
102. C₂×C₄×Dic₁₃₄	C₂²	semidirect
103. C₂×C₄×Dic₁₃₄	C₂²	semidirect
104. C₂×C₄×D₂₆₈	C₂²	semidirect
105. C₂×C₄×D₂₆₈	C₂²	semidirect
106. C₂×C₄×D₂₆₈	C₂²	semidirect
108. C₂×D₄×Dic₆₇	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
114. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
115. C₂×C₄×C₂²⋊D₆₇	C₂²	semidirect
116. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
117. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
118. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
119. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
120. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
121. C₂×(C₂²⋊D₆₇)⋊C₄	C₂²	semidirect
122. C₂×#14524002	C₂²	semidirect
123. C₂×#14524000	C₂²	semidirect
124. C₂×#14524000	C₂²	semidirect
125. C₂×#14524000	C₂²	semidirect
126. C₂×#14523999	C₂²	semidirect
127. C₂×#14523999	C₂²	semidirect
128. C₂×#14523999	C₂²	semidirect
129. C₂²×C₂²⋊Dic₆₇	C₂²	semidirect
130. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₆₇	C₂²	semidirect
133. C₂×C₄²×D₆₇	C₂²	semidirect
134. C₂×C₄²×D₆₇	C₂²	semidirect
135. C₂³×Q₈×C₆₇	C₂²	semidirect
139. C₂×#124×C₆₇	C₂²	semidirect
140. C₂×#124×C₆₇	C₂²	semidirect
141. C₂×#124×C₆₇	C₂²	semidirect
142. C₂×#124×C₆₇	C₂²	semidirect
143. C₂×#124×C₆₇	C₂²	semidirect
144. C₂²×C₂²⋊C₄×C₆₇	C₂²	semidirect
145. C₂²×C₂²⋊C₄×C₆₇	C₂²	semidirect
146. C₂²×C₄²×C₆₇	C₂²	semidirect
149. C₂×#11761629	C₂³	semidirect
153. C₂×#11761627	C₂³	semidirect
158. C₂×Q₈×D₆₇	C₂³	semidirect
187. #14524041	C₂³	semidirect
188. #14524041	C₂³	semidirect
190. #14524037	C₂³	semidirect
191. #14524036	C₂³	semidirect
192. #14524036	C₂³	semidirect
193. #14524036	C₂³	semidirect
194. #14524036	C₂³	semidirect
195. #14524035	C₂³	semidirect
196. #14524032	C₂³	semidirect
197. #14524032	C₂³	semidirect
198. #14524031	C₂³	semidirect
200. #14524029	C₂³	semidirect
201. #14524029	C₂³	semidirect
202. #14524029	C₂³	semidirect
203. #14524029	C₂³	semidirect
204. #14524027	C₂³	semidirect
205. #14524026	C₂³	semidirect
206. #14524025	C₂³	semidirect
207. #14524025	C₂³	semidirect
208. #14524025	C₂³	semidirect
209. #14524025	C₂³	semidirect
210. #14524024	C₂³	semidirect
211. #14524022	C₂³	semidirect
212. #14524022	C₂³	semidirect
213. #14524020	C₂³	semidirect
214. #14524020	C₂³	semidirect
215. #14524019	C₂³	semidirect
216. #14524019	C₂³	semidirect
217. #14524019	C₂³	semidirect
218. #14524019	C₂³	semidirect
220. #14524017	C₂³	semidirect
221. #14524016	C₂³	semidirect
222. #14524016	C₂³	semidirect
223. #14524016	C₂³	semidirect
224. #14524016	C₂³	semidirect
226. #14524015	C₂³	semidirect
229. #14524013	C₂³	semidirect
231. #14524012	C₂³	semidirect
233. Q₈×Dic₆₇	C₂³	semidirect
234. Q₈×Dic₆₇	C₂³	semidirect
235. C₄×Dic₁₃₄	C₂³	semidirect
236. C₄×Dic₁₃₄	C₂³	semidirect
237. C₄×Dic₁₃₄	C₂³	semidirect
238. C₄×D₂₆₈	C₂³	semidirect
239. C₄×D₂₆₈	C₂³	semidirect
240. C₄×D₂₆₈	C₂³	semidirect
242. D₄×Dic₆₇	C₂³	semidirect
246. C₄×C₂²⋊D₆₇	C₂³	semidirect
247. C₄×C₂²⋊D₆₇	C₂³	semidirect
248. C₄×C₂²⋊D₆₇	C₂³	semidirect
249. C₄×C₂²⋊D₆₇	C₂³	semidirect
250. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
251. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
252. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
253. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
254. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
255. (C₂²⋊D₆₇)⋊C₄	C₂³	semidirect
256. #14524002	C₂³	semidirect
257. #14524000	C₂³	semidirect
258. #14524000	C₂³	semidirect
259. #14524000	C₂³	semidirect
260. #14523999	C₂³	semidirect
261. #14523999	C₂³	semidirect
262. #14523999	C₂³	semidirect
290. C₂×C₂²⋊Dic₆₇	C₂³	semidirect
303. C₂²⋊C₄×D₆₇	C₂³	semidirect
304. C₂²⋊C₄×D₆₇	C₂³	semidirect
305. C₂²⋊C₄×D₆₇	C₂³	semidirect
315. C₄²×D₆₇	C₂³	semidirect
316. C₄²×D₆₇	C₂³	semidirect
322. C₂²×Q₈×C₆₇	C₂³	semidirect
334. #124×C₆₇	C₂³	semidirect
335. #124×C₆₇	C₂³	semidirect
336. #124×C₆₇	C₂³	semidirect
337. #124×C₆₇	C₂³	semidirect
346. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
347. C₂×C₂²⋊C₄×C₆₇	C₂³	semidirect
352. C₂×C₄²×C₆₇	C₂³	semidirect
385. C₂×C₂²⋊D₆₇	#41	semidirect
593. C₂²⋊D₆₇	C₂×#41	semidirect
681. C₂×C₆₇	#3514	semidirect
709. C₂²×#124	D₆₇	semidirect
712. C₆₇	C₂×#3514	semidirect
717. C₂³×Q₈	C₂×D₆₇	semidirect
760. C₂×#124	C₂×D₆₇	semidirect
761. C₂×#124	C₂×D₆₇	semidirect
762. C₂×#124	C₂×D₆₇	semidirect
763. C₂×#124	C₂×D₆₇	semidirect
764. C₂×#124	C₂×D₆₇	semidirect
830. C₂²×C₂²⋊C₄	C₂×D₆₇	semidirect
831. C₂²×C₂²⋊C₄	C₂×D₆₇	semidirect
834. C₂²×C₄²	C₂×D₆₇	semidirect
852. C₂²×Q₈	C₂²×D₆₇	semidirect
909. #124	C₂²×D₆₇	semidirect
910. #124	C₂²×D₆₇	semidirect
911. #124	C₂²×D₆₇	semidirect
912. #124	C₂²×D₆₇	semidirect
1023. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1024. C₂×C₂²⋊C₄	C₂²×D₆₇	semidirect
1040. C₂×C₄²	C₂²×D₆₇	semidirect
1371. C₂	#22574164	direct (N × H)

Maximal subgroups

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

subgroup	index
#22574164	2
C₂×#16864128	2
C₂×#16864115	2
C₂×#16864108	2
C₂×#16864076	2
C₂×#16864072	2
C₂×Q₈×C₂²⋊D₆₇	2
C₂×#16864057	2
C₂×#16864054	2
C₂×#16864040	2
C₂×#16864039	2
C₂×#16864036	2
C₂×D₄×C₂²⋊D₆₇	2
C₂×#16864010	2
C₂×#16863984	2
C₂×#16863980	2
C₂×#16863945	2
C₂×#16863930	2
C₂×#16863925	2
C₂×#124×D₆₇	2
C₂×#16863869	2
C₂×C₄×#11761628	2
C₂²×#124×C₆₇	2
C₂×#3514	67

Subgroups — C2×#22574164 #31763917

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22574164 #31763917