Subgroups — #31720644

Order 17152.

2298 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#16863905	C₂	1	1	yes	maximal, characteristic
2	#22569262	C₂	1	2	yes	maximal, complemented
3	#22569260	C₂	1	2	yes	maximal, complemented
4	#22569256	C₂	1	2	yes	maximal, complemented
5	#22569253	C₂	1	2	yes	maximal, complemented
6	#22569245	C₂	1	1	yes	maximal, characteristic, complemented
7	#22569244	C₂	1	1	yes	maximal, characteristic, complemented
8	#22569240	C₂	1	1	yes	maximal, characteristic, complemented
9	#22569237	C₂	1	1	yes	maximal, characteristic, complemented
10	#22569236	C₂	1	1	yes	maximal, characteristic, complemented
11	#22569232	C₂	1	1	yes	maximal, characteristic, complemented
12	#22569231	C₂	1	1	yes	maximal, characteristic, complemented
13	#22568938	C₂	1	2	yes	maximal, complemented
14	#22568932	C₂	1	2	yes	maximal, complemented
15	#22568900	C₂	1	2	yes	maximal, complemented
16	#22568898	C₂	1	2	yes	maximal, complemented
17	#22568868	C₂	1	1	yes	maximal, characteristic, complemented
18	#22568862	C₂	1	1	yes	maximal, characteristic, complemented
19	#22568659	C₂	1	1	yes	maximal, characteristic, complemented
20	#22568655	C₂	1	1	yes	maximal, characteristic, complemented
21	#407×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₂²⋊C₈×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
23	C₆₇×#2974	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#11761628	C₂²	1	1	yes	characteristic
25	C₂³×C₄×D₆₇	C₂²	1	1	yes	characteristic
26	C₂×#14524051	C₂²	1	2	yes	complemented
27	C₂×#14524049	C₂²	1	2	yes	complemented
28	C₂×M₁₆×D₆₇	C₂²	1	2	yes	complemented
29	C₂²×C₈×D₆₇	C₂²	1	2	yes	complemented
30	#16863905	C₄	1	1	yes	characteristic
31	#16863905	C₄	1	1	yes	characteristic
32	#16863905	C₄	1	1	yes	characteristic
33	#16863905	C₄	1	1	yes	characteristic
34	#16863905	C₄	1	1	yes	characteristic
35	#16863905	C₄	1	1	yes	characteristic
36	#16863905	C₄	1	1	yes	characteristic
37	#16863905	C₄	1	1	yes	characteristic
38	#16863905	C₂²	1	1	yes	characteristic
39	#16863905	C₂²	1	1	yes	characteristic
40	#16863905	C₂²	1	1	yes	characteristic
41	#16863905	C₂²	1	1	yes	characteristic
42	#16863905	C₂²	1	1	yes	characteristic
43	#16863905	C₂²	1	1	yes	characteristic
44	#16863905	C₂²	1	1	yes	characteristic
45	#16863905	C₂²	1	1	yes	characteristic
46	C₂×#14524028	C₄	1	1	yes	characteristic
47	C₂×#14524025	C₄	1	1	yes	characteristic
48	C₂×#14524021	C₄	1	1	yes	characteristic
49	C₂×#14524020	C₄	1	1	yes	characteristic
50	C₂×#14524016	C₄	1	1	yes	characteristic
51	C₂×#14524015	C₄	1	1	yes	characteristic
52	C₂×#14524013	C₄	1	1	yes	characteristic
53	C₂×#14524011	C₄	1	1	yes	characteristic
54	C₂×C₄×D₂₆₈	C₂²	1	1	yes	characteristic
55	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
56	C₂×C₄×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic
57	C₂×#14524000	C₂²	1	1	yes	characteristic
58	#16863474	C₂²	1	2	yes	complemented
59	#16863472	C₂²	1	2	yes	complemented
60	#16863471	C₂²	1	2	yes	complemented
61	#16863470	C₂²	1	2	yes	complemented
62	#16863470	C₂²	1	2	yes	complemented
63	#16863470	C₂²	1	2	yes	complemented
64	#16863469	C₂²	1	2	yes	complemented
65	#16863469	C₂²	1	2	yes	complemented
66	#16863468	C₂²	1	2	yes	complemented
67	#16863468	C₂²	1	2	yes	complemented
68	#16863467	C₂²	1	2	yes	complemented
69	#16863466	C₂²	1	2	yes	complemented
70	#16863466	C₂²	1	2	yes	complemented
71	#16863465	C₂²	1	2	yes	complemented
72	#16863465	C₂²	1	2	yes	complemented
73	#16863465	C₂²	1	2	yes	complemented
74	#16863464	C₂²	1	2	yes	complemented
75	C₈×D₂₆₈	C₂²	1	2	yes	complemented
76	C₈×D₂₆₈	C₂²	1	2	yes	complemented
77	D₄×C₆₇⋊C₈	C₂²	1	2	yes	complemented
78	#16863461	C₂²	1	2	yes	complemented
79	#16863461	C₂²	1	2	yes	complemented
80	C₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
81	C₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
82	C₈×C₂²⋊D₆₇	C₂²	1	2	yes	complemented
83	(C₂²⋊D₆₇)⋊C₈	C₂²	1	2	yes	complemented
84	(C₂²⋊D₆₇)⋊C₈	C₂²	1	2	yes	complemented
85	(C₂²⋊D₆₇)⋊C₈	C₂²	1	2	yes	complemented
86	#16863458	C₂²	1	2	yes	complemented
87	#16863456	C₂²	1	2	yes	complemented
88	#16863456	C₂²	1	2	yes	complemented
89	#16863455	C₂²	1	2	yes	complemented
90	#16863453	C₂²	1	1	yes	characteristic, complemented
91	#16863450	C₂²	1	1	yes	characteristic, complemented
92	#16863450	C₂²	1	1	yes	characteristic, complemented
93	#16863449	C₂²	1	1	yes	characteristic, complemented
94	#16863446	C₂²	1	1	yes	characteristic, complemented
95	#16863446	C₂²	1	1	yes	characteristic, complemented
96	#16863421	C₂²	1	2	yes	complemented
97	#16863421	C₂²	1	2	yes	complemented
98	#16863364	C₂²	1	2	yes	complemented
99	#16863362	C₂²	1	2	yes	complemented
100	#16863361	C₂²	1	2	yes	complemented
101	#16863361	C₂²	1	2	yes	complemented
102	#16863361	C₂²	1	2	yes	complemented
103	#16863361	C₂²	1	2	yes	complemented
104	#16863360	C₂²	1	1	yes	characteristic
105	#16863360	C₂²	1	1	yes	characteristic, complemented
106	#16863359	C₂²	1	2	yes	complemented
107	#16863358	C₂²	1	1	yes	characteristic
108	#16863358	C₂²	1	1	yes	characteristic
109	#16863358	C₂²	1	2	yes	complemented
110	#16863358	C₂²	1	1	yes	characteristic, complemented
111	#16863358	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	1	1	yes	characteristic
113	C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
114	C₂×(C₂×D₆₇)⋊C₈	C₂²	1	2	yes	complemented
115	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
116	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
117	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
118	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
119	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
120	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic
121	C₂²⋊C₈×D₆₇	C₂²	1	2	yes	complemented
122	C₂²⋊C₈×D₆₇	C₂²	1	2	yes	complemented
123	C₂²⋊C₈×D₆₇	C₂²	1	2	yes	complemented
124	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
125	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
126	#16863353	C₂²	1	2	yes	complemented
127	#16863350	C₂²	1	2	yes	complemented
128	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
129	#436×C₆₇	C₂²	1	2	yes	complemented
130	#435×C₆₇	C₂²	1	2	yes	complemented
131	#435×C₆₇	C₂²	1	2	yes	complemented
132	C₈×D₄×C₆₇	C₂²	1	2	yes	complemented
133	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
134	#431×C₆₇	C₂²	1	1	yes	characteristic, complemented
135	#407×C₆₇	C₂²	1	1	yes	characteristic
136	#407×C₆₇	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic
138	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₆₇	C₂×C₄	1	1	yes	characteristic
140	C₂×#11761628	—	4	4	no	—
141	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
142	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
143	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
144	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
145	C₂×#11761628	C₂³	1	1	yes	characteristic
146	C₂×#11761628	C₂³	1	1	yes	characteristic
147	C₂×#11761628	C₂³	1	1	yes	characteristic
148	C₂×#11761628	C₂³	1	1	yes	characteristic
149	C₂²×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
150	C₂²×D₂₆₈	C₂×C₄	1	1	yes	characteristic
151	C₂²×D₂₆₈	C₂×C₄	1	1	yes	characteristic
152	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
153	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
154	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
155	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
156	C₂³×Dic₆₇	C₂×C₄	1	1	yes	characteristic
157	C₂²×C₄×D₆₇	—	4	4	no	—
158	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
159	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
160	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
161	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
162	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
163	C₂²×C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
164	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
165	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
166	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
168	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
171	#14524051	—	4	4	no	—
172	#14524049	—	4	4	no	—
173	C₂×#11761612	C₂³	1	2	yes	—
174	C₂×#11761612	C₂³	1	2	yes	complemented
175	C₂×#11761611	C₂³	1	2	yes	—
176	C₂×#11761611	C₂³	1	2	yes	—
177	C₂×#11761611	C₂³	1	2	yes	complemented
178	C₂×#11761611	C₂³	1	2	yes	complemented
179	M₁₆×D₆₇	—	4	4	no	—
180	C₂²×C₆₇⋊C₈	C₂³	1	2	yes	—
181	C₂²×C₆₇⋊C₈	C₂³	1	2	yes	complemented
182	C₂×C₈×D₆₇	—	4	4	no	—
183	C₂×C₈×D₆₇	C₂³	1	2	yes	—
184	C₂×C₈×D₆₇	C₂³	1	2	yes	—
185	C₂×C₈×D₆₇	C₂³	1	2	yes	—
186	C₂×C₈×D₆₇	C₂³	1	2	yes	—
187	C₂×C₈×D₆₇	C₂³	1	2	yes	—
188	C₂×C₈×D₆₇	C₂³	1	2	yes	—
189	C₂×C₈×D₆₇	C₂³	1	2	yes	complemented
190	C₂×C₈×D₆₇	C₂³	1	2	yes	complemented
191	#14524028	C₂×C₄	1	1	yes	characteristic
192	#14524028	C₂×C₄	1	1	yes	characteristic
193	#14524028	C₂×C₄	1	1	yes	characteristic
194	#14524028	C₂×C₄	1	1	yes	characteristic
195	#14524028	C₂×C₄	1	1	yes	characteristic
196	#14524028	C₂×C₄	1	1	yes	characteristic
197	#14524028	C₂×C₄	1	1	yes	characteristic
198	#14524028	C₂×C₄	1	1	yes	characteristic
199	#14524025	C₂×C₄	1	1	yes	characteristic
200	#14524025	C₂×C₄	1	1	yes	characteristic
201	#14524025	C₂×C₄	1	1	yes	characteristic
202	#14524025	C₂×C₄	1	1	yes	characteristic
203	#14524025	C₂×C₄	1	1	yes	characteristic
204	#14524025	C₂×C₄	1	1	yes	characteristic
205	#14524025	C₂×C₄	1	1	yes	characteristic
206	#14524025	C₂×C₄	1	1	yes	characteristic
207	#14524021	C₂×C₄	1	1	yes	characteristic
208	#14524021	C₂×C₄	1	1	yes	characteristic
209	#14524021	C₂×C₄	1	1	yes	characteristic
210	#14524021	C₂×C₄	1	1	yes	characteristic
211	#14524021	C₂×C₄	1	1	yes	characteristic
212	#14524021	C₂×C₄	1	1	yes	characteristic
213	#14524021	C₂×C₄	1	1	yes	characteristic
214	#14524021	C₂×C₄	1	1	yes	characteristic
215	#14524020	C₂×C₄	1	1	yes	characteristic
216	#14524020	C₂×C₄	1	1	yes	characteristic
217	#14524020	C₂×C₄	1	1	yes	characteristic
218	#14524020	C₂×C₄	1	1	yes	characteristic
219	#14524020	C₂×C₄	1	1	yes	characteristic
220	#14524020	C₂×C₄	1	1	yes	characteristic
221	#14524020	C₂×C₄	1	1	yes	characteristic
222	#14524020	C₂×C₄	1	1	yes	characteristic
223	#14524016	C₂×C₄	1	1	yes	characteristic
224	#14524016	C₂×C₄	1	1	yes	characteristic
225	#14524016	C₂×C₄	1	1	yes	characteristic
226	#14524016	C₂×C₄	1	1	yes	characteristic
227	#14524016	C₂×C₄	1	1	yes	characteristic
228	#14524016	C₂×C₄	1	1	yes	characteristic
229	#14524016	C₂×C₄	1	1	yes	characteristic
230	#14524016	C₂×C₄	1	1	yes	characteristic
231	#14524015	C₂×C₄	1	1	yes	characteristic
232	#14524015	C₂×C₄	1	1	yes	characteristic
233	#14524015	C₂×C₄	1	1	yes	characteristic
234	#14524015	C₂×C₄	1	1	yes	characteristic
235	#14524015	C₂×C₄	1	1	yes	characteristic
236	#14524015	C₂×C₄	1	1	yes	characteristic
237	#14524015	C₂×C₄	1	1	yes	characteristic
238	#14524015	C₂×C₄	1	1	yes	characteristic
239	#14524013	C₂×C₄	1	1	yes	characteristic
240	#14524013	C₂×C₄	1	1	yes	characteristic
241	#14524013	C₂×C₄	1	1	yes	characteristic
242	#14524013	C₂×C₄	1	1	yes	characteristic
243	#14524013	C₂×C₄	1	1	yes	characteristic
244	#14524013	C₂×C₄	1	1	yes	characteristic
245	#14524013	C₂×C₄	1	1	yes	characteristic
246	#14524013	C₂×C₄	1	1	yes	characteristic
247	#14524011	C₂×C₄	1	1	yes	characteristic
248	#14524011	C₂×C₄	1	1	yes	characteristic
249	#14524011	C₂×C₄	1	1	yes	characteristic
250	#14524011	C₂×C₄	1	1	yes	characteristic
251	#14524011	C₂×C₄	1	1	yes	characteristic
252	#14524011	C₂×C₄	1	1	yes	characteristic
253	#14524011	C₂×C₄	1	1	yes	characteristic
254	#14524011	C₂×C₄	1	1	yes	characteristic
255	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
256	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
257	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
258	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
259	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
260	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
261	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
262	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
263	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
264	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
265	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
266	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
267	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
268	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
269	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
270	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
271	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
272	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
273	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
274	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
275	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
277	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
278	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
279	#14524000	C₂×C₄	1	1	yes	characteristic
280	#14524000	C₂×C₄	1	1	yes	characteristic
281	#14524000	C₂×C₄	1	1	yes	characteristic
282	#14524000	C₂×C₄	1	1	yes	characteristic
283	#14524000	C₂³	1	1	yes	characteristic
284	#14524000	C₂³	1	1	yes	characteristic
285	#14524000	C₂³	1	1	yes	characteristic
286	#14524000	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
288	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
289	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
290	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
291	C₂×Dic₆₇⋊C₄	C₂×C₄	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
293	C₂×C₂²⋊Dic₆₇	C₂×C₄	1	1	yes	characteristic
294	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
295	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
297	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
298	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
299	C₂×(C₂×D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
300	C₂×C₄×Dic₆₇	C₂³	1	1	yes	characteristic
301	C₄⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
302	C₄⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
303	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
304	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
305	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
306	Dic₆₇⋊C₈	C₂³	1	2	yes	complemented
307	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
308	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
309	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
310	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
311	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	—
312	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	—
313	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
314	C₂²⋊(C₆₇⋊C₈)	C₂³	1	2	yes	complemented
315	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
316	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
317	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
318	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
319	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
320	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
321	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
322	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	—
323	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
324	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
325	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
326	(C₂×D₆₇)⋊C₈	C₂³	1	2	yes	complemented
327	#14523954	C₂³	1	2	yes	complemented
328	#14523953	C₂³	1	2	yes	complemented
329	#14523953	C₂³	1	2	yes	complemented
330	C₄×C₆₇⋊C₈	C₂³	1	2	yes	complemented
331	C₈×Dic₆₇	C₂³	1	2	yes	complemented
332	C₈×Dic₆₇	C₂³	1	2	yes	complemented
333	C₂²×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
334	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
336	C₂×M₁₆×C₆₇	C₂³	1	2	yes	—
337	C₂×M₁₆×C₆₇	C₂³	1	2	yes	complemented
338	C₂²×C₈×C₆₇	C₂³	1	2	yes	—
339	C₂²×C₈×C₆₇	C₂³	1	2	yes	complemented
340	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
341	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
342	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
343	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
344	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
345	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
346	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
347	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
351	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
352	C₄⋊C₈×C₆₇	C₂³	1	2	yes	complemented
353	C₄⋊C₈×C₆₇	C₂³	1	2	yes	complemented
354	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
355	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
356	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
357	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
358	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
359	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	—
360	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	complemented
361	C₂²⋊C₈×C₆₇	C₂³	1	2	yes	complemented
362	#97×C₆₇	C₂³	1	2	yes	complemented
363	C₄×C₈×C₆₇	C₂³	1	2	yes	complemented
364	C₂³×D₆₇	—	2	4	no	—
365	C₂³×D₆₇	—	4	2	no	—
366	C₂³×D₆₇	—	4	2	no	—
367	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
368	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
369	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
370	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
371	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
372	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
373	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
374	#11761628	—	2	4	no	—
375	#11761628	—	2	4	no	—
376	#11761628	—	4	2	no	—
377	#11761628	—	4	2	no	—
378	#11761628	—	4	2	no	—
379	#11761628	—	4	2	no	—
380	#11761628	—	4	2	no	—
381	#11761628	—	4	2	no	—
382	C₂×Dic₁₃₄	—	4	2	no	—
383	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
384	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
385	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
386	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
387	C₂×D₂₆₈	—	2	4	no	—
388	C₂×D₂₆₈	—	4	2	no	—
389	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
390	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
391	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
392	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
393	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
394	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
395	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
396	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
397	C₂×C₂²⋊D₆₇	—	2	4	no	—
398	C₂×C₂²⋊D₆₇	—	4	2	no	—
399	C₂×C₂²⋊D₆₇	—	4	2	no	—
400	C₂×C₂²⋊D₆₇	—	4	2	no	—
401	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
403	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
410	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
411	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
412	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
413	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
414	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
415	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
416	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
417	C₂²×Dic₆₇	—	4	2	no	—
418	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
419	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
420	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
421	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
422	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
423	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
424	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
425	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
426	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
427	C₂×C₄×D₆₇	—	2	4	no	—
428	C₂×C₄×D₆₇	—	2	4	no	—
429	C₂×C₄×D₆₇	—	2	4	no	—
430	C₂×C₄×D₆₇	—	4	2	no	—
431	C₂×C₄×D₆₇	—	4	2	no	—
432	C₂×C₄×D₆₇	—	4	2	no	—
433	C₂×C₄×D₆₇	—	4	2	no	—
434	C₂×C₄×D₆₇	—	4	2	no	—
435	C₂×C₄×D₆₇	—	4	2	no	—
436	C₂×C₄×D₆₇	—	4	2	no	—
437	C₂×C₄×D₆₇	—	4	2	no	—
438	C₂×C₄×D₆₇	—	4	2	no	—
439	C₂×C₄×D₆₇	—	4	2	no	—
440	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
441	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
442	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
443	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
444	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
445	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
446	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
447	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
448	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
449	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
450	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
451	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
452	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
453	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
454	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
455	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
456	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
457	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
458	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
459	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
460	#11761612	—	4	2	no	—
461	#11761612	—	4	2	no	—
462	#11761611	—	2	4	no	—
463	#11761611	—	2	4	no	—
464	#11761611	—	4	2	no	—
465	#11761611	—	4	2	no	—
466	C₂×C₆₇⋊C₈	—	4	2	no	—
467	C₂×C₆₇⋊C₈	—	4	2	no	—
468	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
469	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
470	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
471	C₂×C₆₇⋊C₈	C₂⁴	1	2	yes	—
472	C₈×D₆₇	—	2	4	no	—
473	C₈×D₆₇	—	2	4	no	—
474	C₈×D₆₇	—	4	2	no	—
475	C₈×D₆₇	—	4	2	no	—
476	C₈×D₆₇	—	4	2	no	—
477	C₈×D₆₇	—	4	2	no	—
478	C₈×D₆₇	—	4	2	no	—
479	C₈×D₆₇	—	4	2	no	—
480	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
481	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
482	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
483	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
484	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
485	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
486	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
487	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
488	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
489	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
490	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
491	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
492	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
493	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
494	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
495	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
496	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
497	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
498	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
499	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
500	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
501	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
502	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
503	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
504	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
505	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
506	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
507	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
508	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
509	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
510	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
511	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
512	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
513	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
514	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
515	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
516	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
517	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
518	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
519	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
520	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
521	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
522	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
523	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
524	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
533	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
534	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
535	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
536	C₂⁴×C₆₇	C₂²×C₄	1	1	yes	characteristic
537	C₂⁴×C₆₇	C₂²×C₄	1	1	yes	characteristic
538	C₂×D₄×C₆₇	—	4	2	no	—
539	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
540	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
541	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
542	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
543	C₂²×C₄×C₆₇	—	4	2	no	—
544	C₂²×C₄×C₆₇	—	4	2	no	—
545	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
546	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
547	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
548	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
549	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
550	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
551	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
552	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
553	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
558	M₁₆×C₆₇	—	4	2	no	—
559	M₁₆×C₆₇	—	4	2	no	—
560	C₂×C₈×C₆₇	—	4	2	no	—
561	C₂×C₈×C₆₇	—	4	2	no	—
562	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
563	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
564	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
565	C₂×C₈×C₆₇	C₂⁴	1	2	yes	—
566	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
567	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
568	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
569	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
570	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
571	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
572	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
573	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
574	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
575	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
576	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
577	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
578	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
579	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
580	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
581	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
582	C₂³×C₆₇	—	2	2	no	—
583	C₂³×C₆₇	—	2	2	no	—
584	C₂³×C₆₇	—	2	2	no	—
585	C₂³×C₆₇	—	4	1	no	—
586	C₂³×C₆₇	—	4	1	no	—
587	C₂³×C₆₇	—	4	1	no	—
588	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
589	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
590	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
591	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
592	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
593	C₂²×D₆₇	—	2	2	no	—
594	C₂²×D₆₇	—	2	2	no	—
595	C₂²×D₆₇	—	2	2	no	—
596	C₂²×D₆₇	—	2	2	no	—
597	C₂²×D₆₇	—	2	2	no	—
598	C₂²×D₆₇	—	2	2	no	—
599	C₂²×D₆₇	—	2	2	no	—
600	C₂²×D₆₇	—	2	2	no	—
601	C₂²×D₆₇	—	2	2	no	—
602	C₂²×D₆₇	—	2	2	no	—
603	C₂²×D₆₇	—	2	2	no	—
604	C₂²×D₆₇	—	4	1	no	—
605	C₂²×D₆₇	—	4	1	no	—
606	C₂²×D₆₇	—	4	1	no	—
607	C₂²×D₆₇	—	4	1	no	—
608	C₂²×D₆₇	—	4	1	no	—
609	C₂²×D₆₇	—	4	1	no	—
610	C₂²×D₆₇	—	4	1	no	—
611	C₂²×D₆₇	—	4	1	no	—
612	C₂²×D₆₇	—	4	1	no	—
613	C₂²×D₆₇	—	4	16	no	—
614	C₂²×D₆₇	#131	1	4	yes	complemented
615	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
616	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
617	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
618	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
619	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
620	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
621	D₄×C₆₇	—	2	2	no	—
622	D₄×C₆₇	—	2	2	no	—
623	D₄×C₆₇	—	4	1	no	—
624	D₄×C₆₇	—	4	1	no	—
625	C₂×C₄×C₆₇	—	2	2	no	—
626	C₂×C₄×C₆₇	—	2	2	no	—
627	C₂×C₄×C₆₇	—	2	2	no	—
628	C₂×C₄×C₆₇	—	2	2	no	—
629	C₂×C₄×C₆₇	—	2	2	no	—
630	C₂×C₄×C₆₇	—	2	2	no	—
631	C₂×C₄×C₆₇	—	4	1	no	—
632	C₂×C₄×C₆₇	—	4	1	no	—
633	C₂×C₄×C₆₇	—	4	1	no	—
634	C₂×C₄×C₆₇	—	4	1	no	—
635	C₂×C₄×C₆₇	—	4	1	no	—
636	C₂×C₄×C₆₇	—	4	1	no	—
637	C₂×C₄×C₆₇	—	4	1	no	—
638	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
639	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
640	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
641	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
642	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
643	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
644	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
645	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
646	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
647	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
648	C₂²⋊D₆₇	—	2	2	no	—
649	C₂²⋊D₆₇	—	2	2	no	—
650	C₂²⋊D₆₇	—	2	2	no	—
651	C₂²⋊D₆₇	—	2	2	no	—
652	C₂²⋊D₆₇	—	2	2	no	—
653	C₂²⋊D₆₇	—	2	2	no	—
654	C₂²⋊D₆₇	—	2	2	no	—
655	C₂²⋊D₆₇	—	2	2	no	—
656	C₂²⋊D₆₇	—	2	2	no	—
657	C₂²⋊D₆₇	—	2	2	no	—
658	C₂²⋊D₆₇	—	4	1	no	—
659	C₂²⋊D₆₇	—	4	1	no	—
660	C₂²⋊D₆₇	—	4	1	no	—
661	C₂²⋊D₆₇	—	4	1	no	—
662	C₂²⋊D₆₇	—	4	1	no	—
663	C₂²⋊D₆₇	—	4	1	no	—
664	C₂×Dic₆₇	—	2	2	no	—
665	C₂×Dic₆₇	—	2	2	no	—
666	C₂×Dic₆₇	—	2	2	no	—
667	C₂×Dic₆₇	—	2	2	no	—
668	C₂×Dic₆₇	—	4	1	no	—
669	C₂×Dic₆₇	—	4	1	no	—
670	C₂×Dic₆₇	—	4	1	no	—
671	C₂×Dic₆₇	—	4	1	no	—
672	C₂×Dic₆₇	—	4	1	no	—
673	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
674	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
675	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
676	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
677	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
678	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
679	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
680	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
681	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
682	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
683	D₂₆₈	—	2	2	no	—
684	D₂₆₈	—	2	2	no	—
685	D₂₆₈	—	2	2	no	—
686	D₂₆₈	—	2	2	no	—
687	D₂₆₈	—	2	2	no	—
688	D₂₆₈	—	2	2	no	—
689	D₂₆₈	—	4	1	no	—
690	D₂₆₈	—	4	1	no	—
691	C₄×D₆₇	—	2	2	no	—
692	C₄×D₆₇	—	2	2	no	—
693	C₄×D₆₇	—	2	2	no	—
694	C₄×D₆₇	—	2	2	no	—
695	C₄×D₆₇	—	2	2	no	—
696	C₄×D₆₇	—	2	2	no	—
697	C₄×D₆₇	—	2	2	no	—
698	C₄×D₆₇	—	2	2	no	—
699	C₄×D₆₇	—	2	2	no	—
700	C₄×D₆₇	—	2	2	no	—
701	C₄×D₆₇	—	2	2	no	—
702	C₄×D₆₇	—	4	1	no	—
703	C₄×D₆₇	—	4	1	no	—
704	C₄×D₆₇	—	4	1	no	—
705	C₄×D₆₇	—	4	1	no	—
706	C₄×D₆₇	—	4	1	no	—
707	C₄×D₆₇	—	4	1	no	—
708	C₄×D₆₇	—	4	1	no	—
709	C₄×D₆₇	—	4	1	no	—
710	C₄×D₆₇	H(5,𝔽₂)	1	4	yes	—
711	Dic₁₃₄	—	2	2	no	—
712	Dic₁₃₄	—	2	2	no	—
713	Dic₁₃₄	—	4	1	no	—
714	Dic₁₃₄	—	4	1	no	—
715	C₈×C₆₇	—	2	2	no	—
716	C₈×C₆₇	—	2	2	no	—
717	C₈×C₆₇	—	2	2	no	—
718	C₈×C₆₇	—	2	2	no	—
719	C₆₇⋊C₈	—	2	2	no	—
720	C₆₇⋊C₈	—	2	2	no	—
721	C₆₇⋊C₈	—	2	2	no	—
722	C₆₇⋊C₈	—	2	2	no	—
723	C₂²×C₆₇	—	2	1	no	—
724	C₂²×C₆₇	—	2	1	no	—
725	C₂²×C₆₇	—	2	1	no	—
726	C₂²×C₆₇	—	2	1	no	—
727	C₂²×C₆₇	—	2	1	no	—
728	C₂²×C₆₇	—	2	1	no	—
729	C₂²×C₆₇	—	2	1	no	—
730	C₂²×C₆₇	—	2	1	no	—
731	C₂²×C₆₇	—	2	1	no	—
732	C₂²×C₆₇	—	2	1	no	—
733	C₂²×C₆₇	—	2	1	no	—
734	C₂²×C₆₇	—	2	1	no	—
735	C₂²×C₆₇	—	2	1	no	—
736	C₂²×C₆₇	—	4	4	no	—
737	C₂²×C₆₇	—	8	2	no	—
738	C₂²×C₆₇	C₂×#131	1	2	yes	—
739	C₂²×C₆₇	#568	1	2	yes	—
740	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
741	C₂×D₆₇	—	2	8	no	—
742	C₂×D₆₇	—	2	1	no	—
743	C₂×D₆₇	—	2	1	no	—
744	C₂×D₆₇	—	2	1	no	—
745	C₂×D₆₇	—	2	1	no	—
746	C₂×D₆₇	—	2	1	no	—
747	C₂×D₆₇	—	2	1	no	—
748	C₂×D₆₇	—	2	1	no	—
749	C₂×D₆₇	—	2	1	no	—
750	C₂×D₆₇	—	2	1	no	—
751	C₂×D₆₇	—	2	1	no	—
752	C₂×D₆₇	—	2	1	no	—
753	C₂×D₆₇	—	2	1	no	—
754	C₂×D₆₇	—	2	1	no	—
755	C₂×D₆₇	—	2	1	no	—
756	C₂×D₆₇	—	2	1	no	—
757	C₂×D₆₇	—	4	4	no	—
758	C₂×D₆₇	—	4	4	no	—
759	C₂×D₆₇	—	4	4	no	—
760	C₂×D₆₇	—	4	4	no	—
761	C₂×D₆₇	—	4	4	no	—
762	C₂×D₆₇	—	8	2	no	—
763	C₂×D₆₇	#518	1	2	yes	—
764	C₂×D₆₇	C₂×#131	1	2	yes	—
765	C₂×D₆₇	C₂×#131	1	2	yes	—
766	C₄×C₆₇	—	2	1	no	—
767	C₄×C₆₇	—	2	1	no	—
768	C₄×C₆₇	—	2	1	no	—
769	C₄×C₆₇	—	2	1	no	—
770	C₄×C₆₇	—	2	1	no	—
771	C₄×C₆₇	—	2	1	no	—
772	C₄×C₆₇	—	2	1	no	—
773	C₄×C₆₇	—	2	1	no	—
774	C₄×C₆₇	—	2	1	no	—
775	C₄×C₆₇	C₂×H(5,𝔽₂)	1	2	yes	—
776	Dic₆₇	—	2	1	no	—
777	Dic₆₇	—	2	1	no	—
778	Dic₆₇	—	2	1	no	—
779	Dic₆₇	—	2	1	no	—
780	Dic₆₇	—	2	1	no	—
781	Dic₆₇	—	2	1	no	—
782	Dic₆₇	—	2	1	no	—
783	Dic₆₇	—	2	1	no	—
784	Dic₆₇	—	2	1	no	—
785	Dic₆₇	#518	1	2	yes	—
786	#60233	—	67	1	no	maximal, Sylow
787	C₂×C₆₇	—	2	2	no	—
788	C₂×C₆₇	—	2	2	no	—
789	C₂×C₆₇	—	4	1	no	—
790	C₂×C₆₇	—	4	1	no	—
791	C₂×C₆₇	—	4	1	no	—
792	C₂×C₆₇	C₂×#518	1	1	yes	characteristic
793	C₂×C₆₇	C₂²×#131	1	1	yes	characteristic
794	C₂×C₆₇	C₂×#568	1	1	yes	characteristic
795	D₆₇	—	2	2	no	—
796	D₆₇	—	2	2	no	—
797	D₆₇	—	2	2	no	—
798	D₆₇	—	4	1	no	—
799	D₆₇	—	4	1	no	—
800	D₆₇	—	4	1	no	—
801	C₂×#525	—	67	1	no	—
802	#2977	—	67	2	no	—
803	#2977	—	67	2	no	—
804	#2976	—	67	2	no	—
805	#2976	—	67	2	no	—
806	#2974	—	67	1	no	—
807	#2974	—	67	1	no	—
808	#2974	—	67	1	no	—
809	#2974	D₆₇	1	1	yes	characteristic, complemented
810	#2973	—	67	1	no	—
811	#2973	—	67	1	no	—
812	#2972	—	67	1	no	—
813	#2972	—	67	1	no	—
814	#2933	—	67	2	no	—
815	#2933	—	67	2	no	—
816	#2929	—	67	2	no	—
817	#2929	—	67	2	no	—
818	#2924	—	67	1	no	—
819	#2924	—	67	1	no	—
820	#2880	—	67	1	no	—
821	#2880	—	67	1	no	—
822	C₂×#407	—	67	1	no	—
823	C₂²×C₂²⋊C₈	—	67	1	no	—
824	C₆₇	#60233	1	1	yes	characteristic, complemented, Sylow
825	C₂²×#41	—	67	1	no	—
826	C₂⁴×C₄	—	67	1	no	—
827	C₂×#131	—	67	2	no	—
828	C₂×#131	—	67	2	no	—
829	C₂²×M₁₆	—	67	2	no	—
830	C₂³×C₈	—	67	2	no	—
831	#525	—	67	1	no	—
832	#525	—	67	1	no	—
833	#525	—	67	1	no	—
834	#525	—	67	1	no	—
835	#525	—	67	1	no	—
836	#525	—	67	1	no	—
837	#525	—	67	1	no	—
838	#525	—	67	1	no	—
839	#525	—	67	1	no	—
840	#525	—	67	1	no	—
841	#525	—	67	1	no	—
842	#525	—	67	1	no	—
843	#525	—	67	1	no	—
844	#525	—	67	1	no	—
845	#525	—	67	1	no	—
846	#525	—	67	1	no	—
847	C₂×#123	—	67	1	no	—
848	C₂×#123	—	67	1	no	—
849	C₂×C₂²⋊Q₈	—	67	1	no	—
850	C₂×C₂²⋊Q₈	—	67	1	no	—
851	C₂×#121	—	67	1	no	—
852	C₂×#121	—	67	1	no	—
853	C₂×#120	—	67	1	no	—
854	C₂×#120	—	67	1	no	—
855	C₂×C₄×D₄	—	67	1	no	—
856	C₂×C₄×D₄	—	67	1	no	—
857	C₂×C₄×D₄	—	67	1	no	—
858	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
859	C₂×#117	—	67	1	no	—
860	#436	—	67	2	no	—
861	#436	—	67	2	no	—
862	#436	—	67	2	no	—
863	#436	C₂×D₆₇	1	2	yes	complemented
864	#435	—	67	2	no	—
865	#435	—	67	2	no	—
866	#435	—	67	2	no	—
867	#435	—	67	2	no	—
868	#435	—	67	2	no	—
869	#435	—	67	2	no	—
870	#435	—	67	2	no	—
871	#435	—	67	2	no	—
872	#435	—	67	2	no	—
873	#435	—	67	2	no	—
874	#435	—	67	2	no	—
875	#435	—	67	2	no	—
876	#435	—	67	2	no	—
877	#435	—	67	2	no	—
878	#435	C₂×D₆₇	1	2	yes	complemented
879	#435	C₂×D₆₇	1	2	yes	complemented
880	C₈×D₄	—	67	2	no	—
881	C₈×D₄	—	67	2	no	—
882	C₈×D₄	—	67	2	no	—
883	C₈×D₄	—	67	2	no	—
884	C₈×D₄	—	67	2	no	—
885	C₈×D₄	—	67	2	no	—
886	C₈×D₄	—	67	2	no	—
887	C₈×D₄	—	67	2	no	—
888	C₈×D₄	—	67	2	no	—
889	C₈×D₄	—	67	2	no	—
890	C₈×D₄	—	67	2	no	—
891	C₈×D₄	C₂×D₆₇	1	2	yes	complemented
892	#433	—	67	2	no	—
893	#433	—	67	2	no	—
894	#433	—	67	2	no	—
895	#433	—	67	2	no	—
896	#432	—	67	1	no	—
897	#432	—	67	1	no	—
898	#432	—	67	1	no	—
899	#432	C₂×D₆₇	1	1	yes	characteristic, complemented
900	#431	—	67	1	no	—
901	#431	—	67	1	no	—
902	#431	—	67	1	no	—
903	#431	C₂×D₆₇	1	1	yes	characteristic, complemented
904	#424	—	67	2	no	—
905	#424	—	67	2	no	—
906	#408	—	67	2	no	—
907	#408	—	67	2	no	—
908	#408	—	67	2	no	—
909	#408	—	67	2	no	—
910	#408	—	67	2	no	—
911	#408	—	67	2	no	—
912	#407	—	67	1	no	—
913	#407	—	67	1	no	—
914	#407	—	67	2	no	—
915	#407	—	67	1	no	—
916	#407	—	67	1	no	—
917	#407	—	67	2	no	—
918	#407	—	67	1	no	—
919	#407	—	67	1	no	—
920	#407	C₂×D₆₇	1	1	yes	characteristic
921	#407	C₂×D₆₇	1	1	yes	characteristic, complemented
922	C₂×C₂²⋊C₈	—	67	1	no	—
923	C₂×C₂²⋊C₈	—	67	1	no	—
924	C₂×C₂²⋊C₈	—	67	2	no	—
925	C₂×C₂²⋊C₈	—	67	1	no	—
926	C₂×C₂²⋊C₈	—	67	1	no	—
927	C₂×C₂²⋊C₈	—	67	2	no	—
928	C₂×C₂²⋊C₈	—	67	1	no	—
929	C₂×C₂²⋊C₈	—	67	1	no	—
930	C₂×C₂²⋊C₈	—	67	2	no	—
931	C₂×C₂²⋊C₈	—	67	1	no	—
932	C₂×C₂²⋊C₈	—	67	1	no	—
933	C₂×C₂²⋊C₈	—	67	2	no	—
934	C₂×C₂²⋊C₈	—	67	1	no	—
935	C₂×C₂²⋊C₈	—	67	1	no	—
936	C₂×C₂²⋊C₈	C₂×D₆₇	1	1	yes	characteristic
937	C₂×C₂²⋊C₈	C₂×D₆₇	1	1	yes	characteristic, complemented
938	#405	—	67	2	no	—
939	#405	—	67	2	no	—
940	C₂⁵	—	67	1	no	—
941	C₂×#41	—	268	4	no	—
942	C₂×#41	—	67	1	no	—
943	C₂×#41	—	67	1	no	—
944	C₂×#41	—	67	1	no	—
945	C₂×#41	—	67	1	no	—
946	C₂×#41	—	67	1	no	—
947	C₂×#41	—	67	1	no	—
948	C₂×#41	—	67	1	no	—
949	C₂×#41	—	67	1	no	—
950	C₂²×Q₈	—	67	1	no	—
951	C₂²×D₄	—	67	1	no	—
952	C₂²×D₄	—	67	1	no	—
953	C₂²×D₄	—	67	1	no	—
954	C₂²×D₄	—	67	1	no	—
955	C₂²×D₄	—	67	1	no	—
956	C₂²×D₄	—	67	1	no	—
957	C₂²×D₄	C₄×D₆₇	1	1	yes	characteristic
958	C₂³×C₄	—	268	4	no	—
959	C₂³×C₄	—	67	1	no	—
960	C₂³×C₄	—	67	1	no	—
961	C₂³×C₄	—	67	1	no	—
962	C₂³×C₄	—	67	1	no	—
963	C₂³×C₄	—	67	1	no	—
964	C₂³×C₄	—	67	1	no	—
965	C₂³×C₄	—	67	1	no	—
966	C₂³×C₄	—	67	1	no	—
967	C₂³×C₄	—	67	1	no	—
968	C₂³×C₄	—	67	1	no	—
969	C₂³×C₄	—	67	1	no	—
970	C₂³×C₄	—	67	1	no	—
971	C₂³×C₄	—	67	1	no	—
972	C₂³×C₄	—	67	1	no	—
973	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
974	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
975	#131	—	268	4	no	—
976	#131	—	268	4	no	—
977	C₂×M₁₆	—	268	4	no	—
978	C₂×M₁₆	—	67	2	no	—
979	C₂×M₁₆	—	67	2	no	—
980	C₂×M₁₆	—	67	2	no	—
981	C₂×M₁₆	—	67	2	no	—
982	C₂×M₁₆	—	67	2	no	—
983	C₂×M₁₆	—	67	2	no	—
984	C₂×M₁₆	C₂²×D₆₇	1	2	yes	—
985	C₂×M₁₆	C₂²×D₆₇	1	2	yes	complemented
986	C₂²×C₈	—	268	4	no	—
987	C₂²×C₈	—	67	2	no	—
988	C₂²×C₈	—	67	2	no	—
989	C₂²×C₈	—	67	2	no	—
990	C₂²×C₈	—	67	2	no	—
991	C₂²×C₈	—	67	2	no	—
992	C₂²×C₈	—	67	2	no	—
993	C₂²×C₈	—	67	2	no	—
994	C₂²×C₈	—	67	2	no	—
995	C₂²×C₈	—	67	2	no	—
996	C₂²×C₈	—	67	2	no	—
997	C₂²×C₈	C₂²×D₆₇	1	2	yes	—
998	C₂²×C₈	C₂²×D₆₇	1	2	yes	complemented
999	#123	—	67	1	no	—
1000	#123	—	67	1	no	—
1001	#123	—	67	1	no	—
1002	#123	—	67	1	no	—
1003	#123	—	67	1	no	—
1004	#123	—	67	1	no	—
1005	#123	—	67	1	no	—
1006	#123	—	67	1	no	—
1007	#123	—	67	1	no	—
1008	#123	—	67	1	no	—
1009	#123	—	67	1	no	—
1010	#123	—	67	1	no	—
1011	#123	—	67	1	no	—
1012	#123	—	67	1	no	—
1013	#123	—	67	1	no	—
1014	#123	—	67	1	no	—
1015	C₂²⋊Q₈	—	67	1	no	—
1016	C₂²⋊Q₈	—	67	1	no	—
1017	C₂²⋊Q₈	—	67	1	no	—
1018	C₂²⋊Q₈	—	67	1	no	—
1019	C₂²⋊Q₈	—	67	1	no	—
1020	C₂²⋊Q₈	—	67	1	no	—
1021	C₂²⋊Q₈	—	67	1	no	—
1022	C₂²⋊Q₈	—	67	1	no	—
1023	C₂²⋊Q₈	—	67	1	no	—
1024	C₂²⋊Q₈	—	67	1	no	—
1025	C₂²⋊Q₈	—	67	1	no	—
1026	C₂²⋊Q₈	—	67	1	no	—
1027	C₂²⋊Q₈	—	67	1	no	—
1028	C₂²⋊Q₈	—	67	1	no	—
1029	C₂²⋊Q₈	—	67	1	no	—
1030	C₂²⋊Q₈	—	67	1	no	—
1031	#121	—	67	1	no	—
1032	#121	—	67	1	no	—
1033	#121	—	67	1	no	—
1034	#121	—	67	1	no	—
1035	#121	—	67	1	no	—
1036	#121	—	67	1	no	—
1037	#121	—	67	1	no	—
1038	#121	—	67	1	no	—
1039	#121	—	67	1	no	—
1040	#121	—	67	1	no	—
1041	#121	—	67	1	no	—
1042	#121	—	67	1	no	—
1043	#121	—	67	1	no	—
1044	#121	—	67	1	no	—
1045	#121	—	67	1	no	—
1046	#121	—	67	1	no	—
1047	#120	—	67	1	no	—
1048	#120	—	67	1	no	—
1049	#120	—	67	1	no	—
1050	#120	—	67	1	no	—
1051	#120	—	67	1	no	—
1052	#120	—	67	1	no	—
1053	#120	—	67	1	no	—
1054	#120	—	67	1	no	—
1055	#120	—	67	1	no	—
1056	#120	—	67	1	no	—
1057	#120	—	67	1	no	—
1058	#120	—	67	1	no	—
1059	#120	—	67	1	no	—
1060	#120	—	67	1	no	—
1061	#120	—	67	1	no	—
1062	#120	—	67	1	no	—
1063	C₄×D₄	—	67	1	no	—
1064	C₄×D₄	—	67	1	no	—
1065	C₄×D₄	—	67	1	no	—
1066	C₄×D₄	—	67	1	no	—
1067	C₄×D₄	—	67	1	no	—
1068	C₄×D₄	—	67	1	no	—
1069	C₄×D₄	—	67	1	no	—
1070	C₄×D₄	—	67	1	no	—
1071	C₄×D₄	—	67	1	no	—
1072	C₄×D₄	—	67	1	no	—
1073	C₄×D₄	—	67	1	no	—
1074	C₄×D₄	—	67	1	no	—
1075	C₄×D₄	—	67	1	no	—
1076	C₄×D₄	—	67	1	no	—
1077	C₄×D₄	—	67	1	no	—
1078	C₄×D₄	—	67	1	no	—
1079	C₄×D₄	—	67	1	no	—
1080	C₄×D₄	—	67	1	no	—
1081	C₄×D₄	—	67	1	no	—
1082	C₄×D₄	—	67	1	no	—
1083	C₄×D₄	—	67	1	no	—
1084	C₄×D₄	—	67	1	no	—
1085	C₄×D₄	—	67	1	no	—
1086	C₄×D₄	—	67	1	no	—
1087	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1088	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1089	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1090	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1091	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1092	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1093	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1094	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1095	#117	—	67	1	no	—
1096	#117	—	67	1	no	—
1097	#117	—	67	1	no	—
1098	#117	—	67	1	no	—
1099	#117	—	67	1	no	—
1100	#117	—	67	1	no	—
1101	#117	—	67	1	no	—
1102	#117	—	67	1	no	—
1103	C₂×C₄⋊C₄	—	67	1	no	—
1104	C₂×C₄⋊C₄	—	67	1	no	—
1105	C₂×C₄⋊C₄	—	67	1	no	—
1106	C₂×C₄⋊C₄	—	67	1	no	—
1107	C₂×C₄⋊C₄	—	67	1	no	—
1108	C₂×C₄⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	—	67	1	no	—
1110	C₂×C₂²⋊C₄	—	67	1	no	—
1111	C₂×C₂²⋊C₄	—	67	1	no	—
1112	C₂×C₂²⋊C₄	—	67	1	no	—
1113	C₂×C₂²⋊C₄	—	67	1	no	—
1114	C₂×C₂²⋊C₄	—	67	1	no	—
1115	C₂×C₂²⋊C₄	—	67	1	no	—
1116	C₂×C₂²⋊C₄	—	67	1	no	—
1117	C₂×C₂²⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1119	C₂×C₄²	—	67	1	no	—
1120	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1121	C₄⋊C₈	—	67	2	no	—
1122	C₄⋊C₈	—	67	2	no	—
1123	C₄⋊C₈	—	67	2	no	—
1124	C₄⋊C₈	—	67	2	no	—
1125	C₄⋊C₈	—	67	2	no	—
1126	C₄⋊C₈	—	67	2	no	—
1127	C₄⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1128	C₄⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1129	C₂²⋊C₈	—	67	1	no	—
1130	C₂²⋊C₈	—	67	1	no	—
1131	C₂²⋊C₈	—	67	2	no	—
1132	C₂²⋊C₈	—	67	1	no	—
1133	C₂²⋊C₈	—	67	1	no	—
1134	C₂²⋊C₈	—	67	2	no	—
1135	C₂²⋊C₈	—	67	2	no	—
1136	C₂²⋊C₈	—	67	2	no	—
1137	C₂²⋊C₈	—	67	2	no	—
1138	C₂²⋊C₈	—	67	2	no	—
1139	C₂²⋊C₈	—	67	2	no	—
1140	C₂²⋊C₈	—	67	2	no	—
1141	C₂²⋊C₈	—	67	2	no	—
1142	C₂²⋊C₈	—	67	2	no	—
1143	C₂²⋊C₈	—	67	2	no	—
1144	C₂²⋊C₈	—	67	2	no	—
1145	C₂²⋊C₈	—	67	2	no	—
1146	C₂²⋊C₈	—	67	2	no	—
1147	C₂²⋊C₈	—	67	2	no	—
1148	C₂²⋊C₈	—	67	2	no	—
1149	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1150	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1151	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	—
1152	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1153	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1154	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	—
1155	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1156	C₂²⋊C₈	C₂²×D₆₇	1	2	yes	complemented
1157	#97	—	67	2	no	—
1158	#97	—	67	2	no	—
1159	#97	—	67	2	no	—
1160	#97	C₂²×D₆₇	1	2	yes	complemented
1161	C₄×C₈	—	67	2	no	—
1162	C₄×C₈	—	67	2	no	—
1163	C₄×C₈	—	67	2	no	—
1164	C₄×C₈	C₂²×D₆₇	1	2	yes	complemented
1165	C₂⁴	—	268	2	no	—
1166	C₂⁴	—	268	2	no	—
1167	C₂⁴	—	67	1	no	—
1168	C₂⁴	—	67	1	no	—
1169	C₂⁴	—	67	1	no	—
1170	C₂⁴	—	67	1	no	—
1171	C₂⁴	—	67	1	no	—
1172	C₂⁴	—	67	1	no	—
1173	C₂⁴	—	67	1	no	—
1174	C₂⁴	—	134	4	no	—
1175	C₂⁴	C₂×C₄×D₆₇	1	1	yes	characteristic
1176	C₂⁴	C₂×C₄×D₆₇	1	1	yes	characteristic
1177	#41	—	268	2	no	—
1178	#41	—	268	2	no	—
1179	#41	—	268	2	no	—
1180	#41	—	268	2	no	—
1181	#41	—	268	2	no	—
1182	#41	—	268	2	no	—
1183	#41	—	134	4	no	—
1184	#41	—	134	4	no	—
1185	C₂×Q₈	—	268	2	no	—
1186	C₂×Q₈	—	67	1	no	—
1187	C₂×Q₈	—	67	1	no	—
1188	C₂×Q₈	—	67	1	no	—
1189	C₂×Q₈	—	67	1	no	—
1190	C₂×D₄	—	4	2	no	—
1191	C₂×D₄	—	268	2	no	—
1192	C₂×D₄	—	268	2	no	—
1193	C₂×D₄	—	268	2	no	—
1194	C₂×D₄	—	268	2	no	—
1195	C₂×D₄	—	67	1	no	—
1196	C₂×D₄	—	67	1	no	—
1197	C₂×D₄	—	67	1	no	—
1198	C₂×D₄	—	67	1	no	—
1199	C₂×D₄	—	67	1	no	—
1200	C₂×D₄	—	67	1	no	—
1201	C₂×D₄	—	67	1	no	—
1202	C₂×D₄	—	67	1	no	—
1203	C₂×D₄	—	67	1	no	—
1204	C₂×D₄	—	67	1	no	—
1205	C₂×D₄	—	67	1	no	—
1206	C₂×D₄	—	67	1	no	—
1207	C₂×D₄	—	67	1	no	—
1208	C₂×D₄	—	67	1	no	—
1209	C₂×D₄	—	67	1	no	—
1210	C₂×D₄	—	67	1	no	—
1211	C₂×D₄	—	67	1	no	—
1212	C₂×D₄	—	67	1	no	—
1213	C₂×D₄	—	67	1	no	—
1214	C₂×D₄	—	67	1	no	—
1215	C₂×D₄	—	67	1	no	—
1216	C₂×D₄	—	67	1	no	—
1217	C₂×D₄	—	67	1	no	—
1218	C₂×D₄	—	67	1	no	—
1219	C₂×D₄	—	134	4	no	—
1220	C₂×D₄	—	134	4	no	—
1221	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1222	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1223	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1224	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1225	C₂²×C₄	—	4	2	no	—
1226	C₂²×C₄	—	4	2	no	—
1227	C₂²×C₄	—	268	2	no	—
1228	C₂²×C₄	—	268	2	no	—
1229	C₂²×C₄	—	268	2	no	—
1230	C₂²×C₄	—	268	2	no	—
1231	C₂²×C₄	—	268	2	no	—
1232	C₂²×C₄	—	268	2	no	—
1233	C₂²×C₄	—	268	2	no	—
1234	C₂²×C₄	—	268	2	no	—
1235	C₂²×C₄	—	268	2	no	—
1236	C₂²×C₄	—	268	2	no	—
1237	C₂²×C₄	—	268	2	no	—
1238	C₂²×C₄	—	67	1	no	—
1239	C₂²×C₄	—	67	1	no	—
1240	C₂²×C₄	—	67	1	no	—
1241	C₂²×C₄	—	67	1	no	—
1242	C₂²×C₄	—	67	1	no	—
1243	C₂²×C₄	—	67	1	no	—
1244	C₂²×C₄	—	67	1	no	—
1245	C₂²×C₄	—	67	1	no	—
1246	C₂²×C₄	—	67	1	no	—
1247	C₂²×C₄	—	67	1	no	—
1248	C₂²×C₄	—	67	1	no	—
1249	C₂²×C₄	—	67	1	no	—
1250	C₂²×C₄	—	67	1	no	—
1251	C₂²×C₄	—	67	1	no	—
1252	C₂²×C₄	—	67	1	no	—
1253	C₂²×C₄	—	67	1	no	—
1254	C₂²×C₄	—	67	1	no	—
1255	C₂²×C₄	—	67	1	no	—
1256	C₂²×C₄	—	67	1	no	—
1257	C₂²×C₄	—	67	1	no	—
1258	C₂²×C₄	—	67	1	no	—
1259	C₂²×C₄	—	67	1	no	—
1260	C₂²×C₄	—	67	1	no	—
1261	C₂²×C₄	—	67	1	no	—
1262	C₂²×C₄	—	67	1	no	—
1263	C₂²×C₄	—	67	1	no	—
1264	C₂²×C₄	—	67	1	no	—
1265	C₂²×C₄	—	67	1	no	—
1266	C₂²×C₄	—	67	1	no	—
1267	C₂²×C₄	—	134	4	no	—
1268	C₂²×C₄	—	134	4	no	—
1269	C₂²×C₄	—	134	4	no	—
1270	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1271	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1272	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1273	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1274	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1275	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1276	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1277	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1278	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1279	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1280	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1282	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1283	M₁₆	—	4	2	no	—
1284	M₁₆	—	4	2	no	—
1285	M₁₆	—	268	2	no	—
1286	M₁₆	—	268	2	no	—
1287	M₁₆	—	268	2	no	—
1288	M₁₆	—	268	2	no	—
1289	M₁₆	—	134	4	no	—
1290	M₁₆	—	134	4	no	—
1291	C₂×C₈	—	4	2	no	—
1292	C₂×C₈	—	4	2	no	—
1293	C₂×C₈	—	268	2	no	—
1294	C₂×C₈	—	268	2	no	—
1295	C₂×C₈	—	268	2	no	—
1296	C₂×C₈	—	268	2	no	—
1297	C₂×C₈	—	268	2	no	—
1298	C₂×C₈	—	268	2	no	—
1299	C₂×C₈	—	268	2	no	—
1300	C₂×C₈	—	268	2	no	—
1301	C₂×C₈	—	67	2	no	—
1302	C₂×C₈	—	67	2	no	—
1303	C₂×C₈	—	67	2	no	—
1304	C₂×C₈	—	67	2	no	—
1305	C₂×C₈	—	134	4	no	—
1306	C₂×C₈	—	134	4	no	—
1307	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1308	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1309	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1310	C₂×C₈	C₂³×D₆₇	1	2	yes	—
1311	C₄⋊C₄	—	67	1	no	—
1312	C₄⋊C₄	—	67	1	no	—
1313	C₄⋊C₄	—	67	1	no	—
1314	C₄⋊C₄	—	67	1	no	—
1315	C₄⋊C₄	—	67	1	no	—
1316	C₄⋊C₄	—	67	1	no	—
1317	C₄⋊C₄	—	67	1	no	—
1318	C₄⋊C₄	—	67	1	no	—
1319	C₄⋊C₄	—	67	1	no	—
1320	C₄⋊C₄	—	67	1	no	—
1321	C₄⋊C₄	—	67	1	no	—
1322	C₄⋊C₄	—	67	1	no	—
1323	C₄⋊C₄	—	67	1	no	—
1324	C₄⋊C₄	—	67	1	no	—
1325	C₄⋊C₄	—	67	1	no	—
1326	C₄⋊C₄	—	67	1	no	—
1327	C₄⋊C₄	—	67	1	no	—
1328	C₄⋊C₄	—	67	1	no	—
1329	C₄⋊C₄	—	67	1	no	—
1330	C₄⋊C₄	—	67	1	no	—
1331	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1332	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1333	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1334	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1335	C₂²⋊C₄	—	67	1	no	—
1336	C₂²⋊C₄	—	67	1	no	—
1337	C₂²⋊C₄	—	67	1	no	—
1338	C₂²⋊C₄	—	67	1	no	—
1339	C₂²⋊C₄	—	67	1	no	—
1340	C₂²⋊C₄	—	67	1	no	—
1341	C₂²⋊C₄	—	67	1	no	—
1342	C₂²⋊C₄	—	67	1	no	—
1343	C₂²⋊C₄	—	67	1	no	—
1344	C₂²⋊C₄	—	67	1	no	—
1345	C₂²⋊C₄	—	67	1	no	—
1346	C₂²⋊C₄	—	67	1	no	—
1347	C₂²⋊C₄	—	67	1	no	—
1348	C₂²⋊C₄	—	67	1	no	—
1349	C₂²⋊C₄	—	67	1	no	—
1350	C₂²⋊C₄	—	67	1	no	—
1351	C₂²⋊C₄	—	67	1	no	—
1352	C₂²⋊C₄	—	67	1	no	—
1353	C₂²⋊C₄	—	67	1	no	—
1354	C₂²⋊C₄	—	67	1	no	—
1355	C₂²⋊C₄	—	67	1	no	—
1356	C₂²⋊C₄	—	67	1	no	—
1357	C₂²⋊C₄	—	67	1	no	—
1358	C₂²⋊C₄	—	67	1	no	—
1359	C₂²⋊C₄	—	67	1	no	—
1360	C₂²⋊C₄	—	67	1	no	—
1361	C₂²⋊C₄	—	67	1	no	—
1362	C₂²⋊C₄	—	67	1	no	—
1363	C₂²⋊C₄	—	67	1	no	—
1364	C₂²⋊C₄	—	67	1	no	—
1365	C₂²⋊C₄	—	67	1	no	—
1366	C₂²⋊C₄	—	67	1	no	—
1367	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1368	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1369	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1370	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1371	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1372	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1373	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1374	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1375	C₄²	—	67	1	no	—
1376	C₄²	—	67	1	no	—
1377	C₄²	—	67	1	no	—
1378	C₄²	—	67	1	no	—
1379	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1380	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1381	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1382	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1383	C₂³	—	2	2	no	—
1384	C₂³	—	2	2	no	—
1385	C₂³	—	2	2	no	—
1386	C₂³	—	4	1	no	—
1387	C₂³	—	4	1	no	—
1388	C₂³	—	4	1	no	—
1389	C₂³	—	268	1	no	—
1390	C₂³	—	268	1	no	—
1391	C₂³	—	268	1	no	—
1392	C₂³	—	268	1	no	—
1393	C₂³	—	268	1	no	—
1394	C₂³	—	268	1	no	—
1395	C₂³	—	268	1	no	—
1396	C₂³	—	268	1	no	—
1397	C₂³	—	268	1	no	—
1398	C₂³	—	268	16	no	—
1399	C₂³	—	67	4	no	—
1400	C₂³	—	67	1	no	—
1401	C₂³	—	67	1	no	—
1402	C₂³	—	67	1	no	—
1403	C₂³	—	67	1	no	—
1404	C₂³	—	67	1	no	—
1405	C₂³	—	67	1	no	—
1406	C₂³	—	134	2	no	—
1407	C₂³	—	134	2	no	—
1408	C₂³	—	134	2	no	—
1409	C₂³	—	134	2	no	—
1410	C₂³	—	134	2	no	—
1411	C₂³	—	134	2	no	—
1412	C₂³	—	134	2	no	—
1413	C₂³	—	134	2	no	—
1414	C₂³	—	134	2	no	—
1415	C₂³	—	134	2	no	—
1416	C₂³	—	134	2	no	—
1417	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1418	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1419	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1420	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1421	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1422	Q₈	—	268	1	no	—
1423	Q₈	—	268	1	no	—
1424	Q₈	—	134	2	no	—
1425	Q₈	—	134	2	no	—
1426	D₄	—	2	2	no	—
1427	D₄	—	2	2	no	—
1428	D₄	—	4	1	no	—
1429	D₄	—	4	1	no	—
1430	D₄	—	268	1	no	—
1431	D₄	—	268	1	no	—
1432	D₄	—	268	1	no	—
1433	D₄	—	268	1	no	—
1434	D₄	—	268	1	no	—
1435	D₄	—	268	1	no	—
1436	D₄	—	268	1	no	—
1437	D₄	—	268	1	no	—
1438	D₄	—	134	2	no	—
1439	D₄	—	134	2	no	—
1440	D₄	—	134	2	no	—
1441	D₄	—	134	2	no	—
1442	D₄	—	134	2	no	—
1443	D₄	—	134	2	no	—
1444	D₄	—	134	2	no	—
1445	D₄	—	134	2	no	—
1446	D₄	—	134	2	no	—
1447	D₄	—	134	2	no	—
1448	D₄	—	134	2	no	—
1449	D₄	—	134	2	no	—
1450	D₄	—	134	2	no	—
1451	D₄	—	134	2	no	—
1452	D₄	—	134	2	no	—
1453	D₄	—	134	2	no	—
1454	C₂×C₄	—	2	2	no	—
1455	C₂×C₄	—	2	2	no	—
1456	C₂×C₄	—	2	2	no	—
1457	C₂×C₄	—	2	2	no	—
1458	C₂×C₄	—	2	2	no	—
1459	C₂×C₄	—	2	2	no	—
1460	C₂×C₄	—	4	1	no	—
1461	C₂×C₄	—	4	1	no	—
1462	C₂×C₄	—	4	1	no	—
1463	C₂×C₄	—	4	1	no	—
1464	C₂×C₄	—	4	1	no	—
1465	C₂×C₄	—	4	1	no	—
1466	C₂×C₄	—	4	1	no	—
1467	C₂×C₄	—	268	1	no	—
1468	C₂×C₄	—	268	1	no	—
1469	C₂×C₄	—	268	1	no	—
1470	C₂×C₄	—	268	1	no	—
1471	C₂×C₄	—	268	1	no	—
1472	C₂×C₄	—	268	1	no	—
1473	C₂×C₄	—	268	1	no	—
1474	C₂×C₄	—	268	1	no	—
1475	C₂×C₄	—	268	1	no	—
1476	C₂×C₄	—	268	1	no	—
1477	C₂×C₄	—	268	1	no	—
1478	C₂×C₄	—	268	1	no	—
1479	C₂×C₄	—	268	1	no	—
1480	C₂×C₄	—	67	1	no	—
1481	C₂×C₄	—	67	4	no	—
1482	C₂×C₄	—	67	1	no	—
1483	C₂×C₄	—	67	1	no	—
1484	C₂×C₄	—	67	1	no	—
1485	C₂×C₄	—	67	1	no	—
1486	C₂×C₄	—	67	1	no	—
1487	C₂×C₄	—	67	1	no	—
1488	C₂×C₄	—	67	1	no	—
1489	C₂×C₄	—	67	1	no	—
1490	C₂×C₄	—	67	1	no	—
1491	C₂×C₄	—	134	2	no	—
1492	C₂×C₄	—	134	2	no	—
1493	C₂×C₄	—	134	2	no	—
1494	C₂×C₄	—	134	2	no	—
1495	C₂×C₄	—	134	2	no	—
1496	C₂×C₄	—	134	2	no	—
1497	C₂×C₄	—	134	2	no	—
1498	C₂×C₄	—	134	2	no	—
1499	C₂×C₄	—	134	2	no	—
1500	C₂×C₄	—	134	2	no	—
1501	C₂×C₄	—	134	2	no	—
1502	C₂×C₄	—	134	2	no	—
1503	C₂×C₄	—	134	2	no	—
1504	C₂×C₄	—	134	2	no	—
1505	C₂×C₄	—	134	2	no	—
1506	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1507	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1508	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1509	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1510	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1511	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1512	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1513	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1514	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1515	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1516	C₈	—	2	2	no	—
1517	C₈	—	2	2	no	—
1518	C₈	—	2	2	no	—
1519	C₈	—	2	2	no	—
1520	C₈	—	134	2	no	—
1521	C₈	—	134	2	no	—
1522	C₈	—	134	2	no	—
1523	C₈	—	134	2	no	—
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	1	no	—
1526	C₂²	—	2	1	no	—
1527	C₂²	—	2	1	no	—
1528	C₂²	—	2	1	no	—
1529	C₂²	—	2	1	no	—
1530	C₂²	—	2	1	no	—
1531	C₂²	—	2	1	no	—
1532	C₂²	—	2	1	no	—
1533	C₂²	—	2	1	no	—
1534	C₂²	—	2	1	no	—
1535	C₂²	—	2	1	no	—
1536	C₂²	—	2	1	no	—
1537	C₂²	—	4	4	no	—
1538	C₂²	—	8	2	no	—
1539	C₂²	—	268	4	no	—
1540	C₂²	—	268	4	no	—
1541	C₂²	—	268	4	no	—
1542	C₂²	—	268	4	no	—
1543	C₂²	—	268	4	no	—
1544	C₂²	—	536	2	no	—
1545	C₂²	—	67	2	no	—
1546	C₂²	—	67	2	no	—
1547	C₂²	—	67	2	no	—
1548	C₂²	—	134	8	no	—
1549	C₂²	—	134	1	no	—
1550	C₂²	—	134	1	no	—
1551	C₂²	—	134	1	no	—
1552	C₂²	—	134	1	no	—
1553	C₂²	—	134	1	no	—
1554	C₂²	—	134	1	no	—
1555	C₂²	—	134	1	no	—
1556	C₂²	—	134	1	no	—
1557	C₂²	—	134	1	no	—
1558	C₂²	—	134	1	no	—
1559	C₂²	—	134	1	no	—
1560	C₂²	—	134	1	no	—
1561	C₂²	—	134	1	no	—
1562	C₂²	—	134	1	no	—
1563	C₂²	—	134	1	no	—
1564	C₂²	#131×D₆₇	1	2	yes	—
1565	C₂²	#16864162	1	2	yes	—
1566	C₂²	C₂³×C₄×D₆₇	1	1	yes	characteristic
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	1	no	—
1576	C₄	—	67	2	no	—
1577	C₄	—	134	1	no	—
1578	C₄	—	134	1	no	—
1579	C₄	—	134	1	no	—
1580	C₄	—	134	1	no	—
1581	C₄	—	134	1	no	—
1582	C₄	—	134	1	no	—
1583	C₄	—	134	1	no	—
1584	C₄	—	134	1	no	—
1585	C₄	—	134	1	no	—
1586	C₄	H(5,𝔽₂)×D₆₇	1	2	yes	—
1587	C₂	—	2	2	no	—
1588	C₂	—	2	2	no	—
1589	C₂	—	4	1	no	—
1590	C₂	—	4	1	no	—
1591	C₂	—	4	1	no	—
1592	C₂	—	268	1	no	—
1593	C₂	—	268	1	no	—
1594	C₂	—	268	1	no	—
1595	C₂	—	134	2	no	—
1596	C₂	—	134	2	no	—
1597	C₂	—	134	2	no	—
1598	C₂	#518×D₆₇	1	1	yes	characteristic
1599	C₂	C₂×#131×D₆₇	1	1	yes	characteristic
1600	C₂	C₂×#16864162	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₆₇
commutator, socle	C₂²×C₆₇	C₂⁴×C₄
Fitting	C₆₇×#2974	C₂
prime radical	C₂×#16863905	C₂
cosocle	C₂×C₄×C₆₇	C₂⁵
hypercenter	#2974	D₆₇
hypocenter	C₆₇	#60233
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ #2974

Complements

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

N	H ≅ G/N	type
2. #22569262	C₂	semidirect
3. #22569260	C₂	semidirect
4. #22569256	C₂	semidirect
5. #22569253	C₂	semidirect
6. #22569245	C₂	semidirect
7. #22569244	C₂	semidirect
8. #22569240	C₂	semidirect
9. #22569237	C₂	semidirect
10. #22569236	C₂	semidirect
11. #22569232	C₂	semidirect
12. #22569231	C₂	semidirect
13. #22568938	C₂	semidirect
14. #22568932	C₂	semidirect
15. #22568900	C₂	semidirect
16. #22568898	C₂	semidirect
17. #22568868	C₂	semidirect
18. #22568862	C₂	semidirect
19. #22568659	C₂	semidirect
20. #22568655	C₂	semidirect
21. #407×D₆₇	C₂	semidirect
22. C₂×C₂²⋊C₈×D₆₇	C₂	semidirect
23. C₆₇×#2974	C₂	semidirect
26. C₂×#14524051	C₂²	semidirect
27. C₂×#14524049	C₂²	semidirect
28. C₂×M₁₆×D₆₇	C₂²	semidirect
29. C₂²×C₈×D₆₇	C₂²	semidirect
58. #16863474	C₂²	semidirect
59. #16863472	C₂²	semidirect
60. #16863471	C₂²	semidirect
61. #16863470	C₂²	semidirect
62. #16863470	C₂²	semidirect
63. #16863470	C₂²	semidirect
64. #16863469	C₂²	semidirect
65. #16863469	C₂²	semidirect
66. #16863468	C₂²	semidirect
67. #16863468	C₂²	semidirect
68. #16863467	C₂²	semidirect
69. #16863466	C₂²	semidirect
70. #16863466	C₂²	semidirect
71. #16863465	C₂²	semidirect
72. #16863465	C₂²	semidirect
73. #16863465	C₂²	semidirect
74. #16863464	C₂²	semidirect
75. C₈×D₂₆₈	C₂²	semidirect
76. C₈×D₂₆₈	C₂²	semidirect
77. D₄×C₆₇⋊C₈	C₂²	semidirect
78. #16863461	C₂²	semidirect
79. #16863461	C₂²	semidirect
80. C₈×C₂²⋊D₆₇	C₂²	semidirect
81. C₈×C₂²⋊D₆₇	C₂²	semidirect
82. C₈×C₂²⋊D₆₇	C₂²	semidirect
83. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
84. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
85. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
86. #16863458	C₂²	semidirect
87. #16863456	C₂²	semidirect
88. #16863456	C₂²	semidirect
89. #16863455	C₂²	semidirect
90. #16863453	C₂²	semidirect
91. #16863450	C₂²	semidirect
92. #16863450	C₂²	semidirect
93. #16863449	C₂²	semidirect
94. #16863446	C₂²	semidirect
95. #16863446	C₂²	semidirect
96. #16863421	C₂²	semidirect
97. #16863421	C₂²	semidirect
98. #16863364	C₂²	semidirect
99. #16863362	C₂²	semidirect
100. #16863361	C₂²	semidirect
101. #16863361	C₂²	semidirect
102. #16863361	C₂²	semidirect
103. #16863361	C₂²	semidirect
105. #16863360	C₂²	semidirect
106. #16863359	C₂²	semidirect
109. #16863358	C₂²	semidirect
110. #16863358	C₂²	semidirect
111. #16863358	C₂²	semidirect
113. C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	semidirect
114. C₂×(C₂×D₆₇)⋊C₈	C₂²	semidirect
121. C₂²⋊C₈×D₆₇	C₂²	semidirect
122. C₂²⋊C₈×D₆₇	C₂²	semidirect
123. C₂²⋊C₈×D₆₇	C₂²	semidirect
124. C₂²⋊C₈×D₆₇	C₂²	semidirect
125. C₂²⋊C₈×D₆₇	C₂²	semidirect
126. #16863353	C₂²	semidirect
127. #16863350	C₂²	semidirect
129. #436×C₆₇	C₂²	semidirect
130. #435×C₆₇	C₂²	semidirect
131. #435×C₆₇	C₂²	semidirect
132. C₈×D₄×C₆₇	C₂²	semidirect
133. #432×C₆₇	C₂²	semidirect
134. #431×C₆₇	C₂²	semidirect
136. #407×C₆₇	C₂²	semidirect
138. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
174. C₂×#11761612	C₂³	semidirect
177. C₂×#11761611	C₂³	semidirect
178. C₂×#11761611	C₂³	semidirect
181. C₂²×C₆₇⋊C₈	C₂³	semidirect
189. C₂×C₈×D₆₇	C₂³	semidirect
190. C₂×C₈×D₆₇	C₂³	semidirect
301. C₄⋊(C₆₇⋊C₈)	C₂³	semidirect
302. C₄⋊(C₆₇⋊C₈)	C₂³	semidirect
303. Dic₆₇⋊C₈	C₂³	semidirect
304. Dic₆₇⋊C₈	C₂³	semidirect
305. Dic₆₇⋊C₈	C₂³	semidirect
306. Dic₆₇⋊C₈	C₂³	semidirect
313. C₂²⋊(C₆₇⋊C₈)	C₂³	semidirect
314. C₂²⋊(C₆₇⋊C₈)	C₂³	semidirect
323. (C₂×D₆₇)⋊C₈	C₂³	semidirect
324. (C₂×D₆₇)⋊C₈	C₂³	semidirect
325. (C₂×D₆₇)⋊C₈	C₂³	semidirect
326. (C₂×D₆₇)⋊C₈	C₂³	semidirect
327. #14523954	C₂³	semidirect
328. #14523953	C₂³	semidirect
329. #14523953	C₂³	semidirect
330. C₄×C₆₇⋊C₈	C₂³	semidirect
331. C₈×Dic₆₇	C₂³	semidirect
332. C₈×Dic₆₇	C₂³	semidirect
337. C₂×M₁₆×C₆₇	C₂³	semidirect
339. C₂²×C₈×C₆₇	C₂³	semidirect
352. C₄⋊C₈×C₆₇	C₂³	semidirect
353. C₄⋊C₈×C₆₇	C₂³	semidirect
360. C₂²⋊C₈×C₆₇	C₂³	semidirect
361. C₂²⋊C₈×C₆₇	C₂³	semidirect
362. #97×C₆₇	C₂³	semidirect
363. C₄×C₈×C₆₇	C₂³	semidirect
614. C₂²×D₆₇	#131	semidirect
809. #2974	D₆₇	semidirect
824. C₆₇	#60233	semidirect
863. #436	C₂×D₆₇	semidirect
878. #435	C₂×D₆₇	semidirect
879. #435	C₂×D₆₇	semidirect
891. C₈×D₄	C₂×D₆₇	semidirect
899. #432	C₂×D₆₇	semidirect
903. #431	C₂×D₆₇	semidirect
921. #407	C₂×D₆₇	semidirect
937. C₂×C₂²⋊C₈	C₂×D₆₇	semidirect
985. C₂×M₁₆	C₂²×D₆₇	semidirect
998. C₂²×C₈	C₂²×D₆₇	semidirect
1127. C₄⋊C₈	C₂²×D₆₇	semidirect
1128. C₄⋊C₈	C₂²×D₆₇	semidirect
1155. C₂²⋊C₈	C₂²×D₆₇	semidirect
1156. C₂²⋊C₈	C₂²×D₆₇	semidirect
1160. #97	C₂²×D₆₇	semidirect
1164. C₄×C₈	C₂²×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#16863905	2
#22569262	2
#22569260	2
#22569256	2
#22569253	2
#22569245	2
#22569244	2
#22569240	2
#22569237	2
#22569236	2
#22569232	2
#22569231	2
#22568938	2
#22568932	2
#22568900	2
#22568898	2
#22568868	2
#22568862	2
#22568659	2
#22568655	2
#407×D₆₇	2
C₂×C₂²⋊C₈×D₆₇	2
C₆₇×#2974	2
#60233	67