Subgroups — #31720727

Order 17152.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#11761628	C₂	1	1	yes	maximal, characteristic
2	#22569287	C₂	1	1	yes	maximal, characteristic, complemented
3	#22569281	C₂	1	1	yes	maximal, characteristic, complemented
4	#22569279	C₂	1	1	yes	maximal, characteristic, complemented
5	#22569277	C₂	1	1	yes	maximal, characteristic, complemented
6	#22569269	C₂	1	1	yes	maximal, characteristic, complemented
7	#22569268	C₂	1	1	yes	maximal, characteristic, complemented
8	#22569263	C₂	1	1	yes	maximal, characteristic, complemented
9	#22569260	C₂	1	1	yes	maximal, characteristic, complemented
10	#22569259	C₂	1	1	yes	maximal, characteristic, complemented
11	#22569258	C₂	1	1	yes	maximal, characteristic, complemented
12	#22569256	C₂	1	1	yes	maximal, characteristic, complemented
13	#22569254	C₂	1	1	yes	maximal, characteristic, complemented
14	#22569244	C₂	1	1	yes	maximal, characteristic, complemented
15	#22569239	C₂	1	1	yes	maximal, characteristic, complemented
16	#22569234	C₂	1	1	yes	maximal, characteristic, complemented
17	#22568950	C₂	1	1	yes	maximal, characteristic, complemented
18	#22568942	C₂	1	1	yes	maximal, characteristic, complemented
19	#22568935	C₂	1	1	yes	maximal, characteristic, complemented
20	#22568932	C₂	1	1	yes	maximal, characteristic, complemented
21	#22568923	C₂	1	1	yes	maximal, characteristic, complemented
22	#22568907	C₂	1	1	yes	maximal, characteristic, complemented
23	#22568900	C₂	1	1	yes	maximal, characteristic, complemented
24	#435×D₆₇	C₂	1	1	yes	maximal, characteristic, complemented
25	#22568876	C₂	1	1	yes	maximal, characteristic, complemented
26	#22568855	C₂	1	1	yes	maximal, characteristic, complemented
27	#22568659	C₂	1	1	yes	maximal, characteristic, complemented
28	#22568655	C₂	1	1	yes	maximal, characteristic, complemented
29	#22568652	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16863361	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₇×#2973	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11761628	C₂²	1	1	yes	characteristic
33	C₂²×#11761628	C₂²	1	1	yes	characteristic
34	C₂×#14524051	C₂²	1	1	yes	characteristic, complemented
35	C₂×#14524051	C₂²	1	1	yes	characteristic, complemented
36	C₂×#14524049	C₂²	1	1	yes	characteristic, complemented
37	C₂×#14524049	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#11761611	C₂²	1	1	yes	characteristic, complemented
39	C₂×M₁₆×D₆₇	C₂²	1	1	yes	characteristic, complemented
40	C₂×M₁₆×D₆₇	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
42	#16864067	C₄	1	1	yes	characteristic
43	D₄×Dic₁₃₄	C₄	1	1	yes	characteristic
44	#16864055	C₄	1	1	yes	characteristic
45	#16864055	C₄	1	1	yes	characteristic
46	#16864051	C₄	1	1	yes	characteristic
47	#16864047	C₄	1	1	yes	characteristic
48	#16864047	C₄	1	1	yes	characteristic
49	#16864042	C₄	1	1	yes	characteristic
50	#16864042	C₄	1	1	yes	characteristic
51	#16864036	C₄	1	1	yes	characteristic
52	#16864036	C₄	1	1	yes	characteristic
53	#16864036	C₄	1	1	yes	characteristic
54	#16864036	C₄	1	1	yes	characteristic
55	D₄×D₂₆₈	C₄	1	1	yes	characteristic
56	D₄×C₂²⋊D₆₇	C₄	1	1	yes	characteristic
57	D₄×C₂²⋊D₆₇	C₄	1	1	yes	characteristic
58	#16863946	C₂²	1	1	yes	characteristic
59	#16863943	C₂²	1	1	yes	characteristic
60	#16863943	C₂²	1	1	yes	characteristic
61	#16863907	C₂²	1	1	yes	characteristic
62	#16863907	C₂²	1	1	yes	characteristic
63	#16863905	C₂²	1	1	yes	characteristic
64	#16863905	C₂²	1	1	yes	characteristic
65	#16863905	C₂²	1	1	yes	characteristic
66	#16863905	C₂²	1	1	yes	characteristic
67	C₄×#11761628	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₆₇	C₂²	1	1	yes	characteristic
70	#16863474	C₂²	1	1	yes	characteristic, complemented
71	#16863474	C₂²	1	1	yes	characteristic, complemented
72	#16863473	C₂²	1	1	yes	characteristic, complemented
73	#16863473	C₂²	1	1	yes	characteristic, complemented
74	#16863472	C₂²	1	1	yes	characteristic, complemented
75	#16863472	C₂²	1	1	yes	characteristic, complemented
76	#16863472	C₂²	1	1	yes	characteristic, complemented
77	#16863472	C₂²	1	1	yes	characteristic, complemented
78	#16863471	C₂²	1	1	yes	characteristic, complemented
79	#16863471	C₂²	1	1	yes	characteristic, complemented
80	#16863471	C₂²	1	1	yes	characteristic, complemented
81	#16863471	C₂²	1	1	yes	characteristic, complemented
82	#16863470	C₂²	1	1	yes	characteristic, complemented
83	#16863470	C₂²	1	1	yes	characteristic, complemented
84	#16863470	C₂²	1	1	yes	characteristic, complemented
85	#16863470	C₂²	1	1	yes	characteristic, complemented
86	#16863469	C₂²	1	1	yes	characteristic, complemented
87	#16863469	C₂²	1	1	yes	characteristic, complemented
88	#16863469	C₂²	1	1	yes	characteristic, complemented
89	#16863469	C₂²	1	1	yes	characteristic, complemented
90	#16863469	C₂²	1	1	yes	characteristic, complemented
91	#16863469	C₂²	1	1	yes	characteristic, complemented
92	#16863469	C₂²	1	1	yes	characteristic, complemented
93	#16863469	C₂²	1	1	yes	characteristic, complemented
94	#16863468	C₂²	1	1	yes	characteristic
95	#16863468	C₂²	1	1	yes	characteristic
96	#16863468	C₂²	1	1	yes	characteristic, complemented
97	#16863468	C₂²	1	1	yes	characteristic, complemented
98	#16863467	C₂²	1	1	yes	characteristic, complemented
99	#16863467	C₂²	1	1	yes	characteristic, complemented
100	#16863467	C₂²	1	1	yes	characteristic, complemented
101	#16863467	C₂²	1	1	yes	characteristic, complemented
102	#16863466	C₂²	1	1	yes	characteristic, complemented
103	#16863466	C₂²	1	1	yes	characteristic, complemented
104	#16863466	C₂²	1	1	yes	characteristic, complemented
105	#16863466	C₂²	1	1	yes	characteristic, complemented
106	#16863465	C₂²	1	1	yes	characteristic, complemented
107	#16863465	C₂²	1	1	yes	characteristic, complemented
108	#16863465	C₂²	1	1	yes	characteristic, complemented
109	#16863465	C₂²	1	1	yes	characteristic, complemented
110	#16863464	C₂²	1	1	yes	characteristic, complemented
111	#16863464	C₂²	1	1	yes	characteristic, complemented
112	#16863464	C₂²	1	1	yes	characteristic, complemented
113	#16863464	C₂²	1	1	yes	characteristic, complemented
114	D₄×C₆₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
115	D₄×C₆₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
116	#16863461	C₂²	1	1	yes	characteristic, complemented
117	#16863461	C₂²	1	1	yes	characteristic, complemented
118	C₈×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
119	C₈×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
120	C₈×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
121	C₈×C₂²⋊D₆₇	C₂²	1	1	yes	characteristic, complemented
122	(C₂²⋊D₆₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
123	(C₂²⋊D₆₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
124	(C₂²⋊D₆₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
125	(C₂²⋊D₆₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
126	#16863458	C₂²	1	1	yes	characteristic, complemented
127	#16863458	C₂²	1	1	yes	characteristic, complemented
128	#16863456	C₂²	1	1	yes	characteristic, complemented
129	#16863456	C₂²	1	1	yes	characteristic, complemented
130	#16863454	C₂²	1	1	yes	characteristic, complemented
131	#16863454	C₂²	1	1	yes	characteristic, complemented
132	#16863454	C₂²	1	1	yes	characteristic, complemented
133	#16863454	C₂²	1	1	yes	characteristic, complemented
134	#16863453	C₂²	1	1	yes	characteristic, complemented
135	#16863452	C₂²	1	1	yes	characteristic, complemented
136	#16863451	C₂²	1	1	yes	characteristic, complemented
137	#16863451	C₂²	1	1	yes	characteristic, complemented
138	#16863449	C₂²	1	1	yes	characteristic, complemented
139	#16863448	C₂²	1	1	yes	characteristic, complemented
140	#16863421	C₂²	1	1	yes	characteristic, complemented
141	#16863421	C₂²	1	1	yes	characteristic, complemented
142	#16863418	C₂²	1	1	yes	characteristic, complemented
143	C₄⋊C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
144	#16863364	C₂²	1	1	yes	characteristic, complemented
145	#16863364	C₂²	1	1	yes	characteristic, complemented
146	#16863362	C₂²	1	1	yes	characteristic, complemented
147	#16863362	C₂²	1	1	yes	characteristic, complemented
148	#16863361	C₂²	1	1	yes	characteristic
149	#16863361	C₂²	1	1	yes	characteristic
150	#16863361	C₂²	1	1	yes	characteristic
151	#16863361	C₂²	1	1	yes	characteristic
152	#16863361	C₂²	1	1	yes	characteristic, complemented
153	#16863361	C₂²	1	1	yes	characteristic, complemented
154	#16863361	C₂²	1	1	yes	characteristic, complemented
155	#16863361	C₂²	1	1	yes	characteristic, complemented
156	#16863361	C₂²	1	1	yes	characteristic, complemented
157	#16863361	C₂²	1	1	yes	characteristic, complemented
158	#16863361	C₂²	1	1	yes	characteristic, complemented
159	#16863361	C₂²	1	1	yes	characteristic, complemented
160	#16863361	C₂²	1	1	yes	characteristic, complemented
161	#16863361	C₂²	1	1	yes	characteristic, complemented
162	#16863361	C₂²	1	1	yes	characteristic, complemented
163	#16863361	C₂²	1	1	yes	characteristic, complemented
164	#16863361	C₂²	1	1	yes	characteristic, complemented
165	#16863361	C₂²	1	1	yes	characteristic, complemented
166	#16863361	C₂²	1	1	yes	characteristic, complemented
167	#16863361	C₂²	1	1	yes	characteristic, complemented
168	#16863360	C₂²	1	1	yes	characteristic, complemented
169	#16863360	C₂²	1	1	yes	characteristic, complemented
170	#16863359	C₂²	1	1	yes	characteristic, complemented
171	#16863359	C₂²	1	1	yes	characteristic, complemented
172	#16863358	C₂²	1	1	yes	characteristic, complemented
173	#16863358	C₂²	1	1	yes	characteristic, complemented
174	#16863358	C₂²	1	1	yes	characteristic, complemented
175	#16863358	C₂²	1	1	yes	characteristic, complemented
176	C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
178	C₂×(C₂×D₆₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	C₂×(C₂×D₆₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
183	C₂²⋊C₈×D₆₇	C₂²	1	1	yes	characteristic, complemented
184	#16863353	C₂²	1	1	yes	characteristic, complemented
185	#16863353	C₂²	1	1	yes	characteristic, complemented
186	#16863348	C₂²	1	1	yes	characteristic, complemented
187	#97×D₆₇	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₄×D₄×C₆₇	C₂²	1	1	yes	characteristic
189	#435×C₆₇	C₂²	1	1	yes	characteristic
190	#435×C₆₇	C₂²	1	1	yes	characteristic
191	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
192	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
193	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
194	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
195	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
196	#435×C₆₇	C₂²	1	1	yes	characteristic, complemented
197	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
198	#432×C₆₇	C₂²	1	1	yes	characteristic, complemented
199	#407×C₆₇	C₂²	1	1	yes	characteristic, complemented
200	#407×C₆₇	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₈×C₆₇	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11761628	—	4	2	no	—
204	C₂×#11761628	—	4	2	no	—
205	C₂×#11761628	—	4	2	no	—
206	C₂×#11761628	—	4	2	no	—
207	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
208	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
209	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
210	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
211	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
212	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
213	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
214	C₂×#11761628	C₂×C₄	1	1	yes	characteristic
215	C₂×#11761628	C₂³	1	1	yes	characteristic
216	C₂×#11761628	C₂³	1	1	yes	characteristic
217	C₂×#11761628	C₂³	1	1	yes	characteristic
218	C₂×#11761628	C₂³	1	1	yes	characteristic
219	C₂×#11761628	C₂³	1	1	yes	characteristic
220	C₂×#11761628	C₂³	1	1	yes	characteristic
221	C₂×#11761628	C₂³	1	1	yes	characteristic
222	C₂²×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
223	C₂²×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
224	C₂²×D₂₆₈	C₂×C₄	1	1	yes	characteristic
225	C₂²×D₂₆₈	C₂×C₄	1	1	yes	characteristic
226	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
227	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
228	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
229	C₂²×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
230	C₂×D₄×D₆₇	C₂×C₄	1	1	yes	characteristic
231	C₂×D₄×D₆₇	C₂×C₄	1	1	yes	characteristic
232	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₆₇	C₂³	1	1	yes	characteristic
236	#14524051	—	4	2	no	—
237	#14524051	—	4	2	no	—
238	#14524049	—	4	2	no	—
239	#14524049	—	4	2	no	—
240	C₂×#11761612	C₂³	1	1	yes	characteristic
241	C₂×#11761612	C₂³	1	1	yes	characteristic
242	C₂×#11761612	C₂³	1	1	yes	characteristic
243	C₂×#11761612	C₂³	1	1	yes	characteristic
244	C₂×#11761611	—	4	2	no	—
245	C₂×#11761611	C₂³	1	1	yes	characteristic
246	C₂×#11761611	C₂³	1	1	yes	characteristic
247	C₂×#11761611	C₂³	1	1	yes	characteristic
248	C₂×#11761611	C₂³	1	1	yes	characteristic
249	C₂×#11761611	C₂³	1	1	yes	characteristic
250	C₂×#11761611	C₂³	1	1	yes	characteristic
251	C₂×#11761611	C₂³	1	1	yes	characteristic
252	C₂×#11761611	C₂³	1	1	yes	characteristic
253	C₂×#11761611	C₂³	1	1	yes	characteristic
254	C₂×#11761611	C₂³	1	1	yes	characteristic
255	C₂×#11761611	C₂³	1	1	yes	characteristic
256	C₂×#11761611	C₂³	1	1	yes	characteristic
257	M₁₆×D₆₇	—	4	2	no	—
258	M₁₆×D₆₇	—	4	2	no	—
259	C₂²×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
260	C₂²×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
261	C₂²×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
262	C₂²×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
263	C₂×C₈×D₆₇	—	4	2	no	—
264	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
265	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
266	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
267	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
268	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
269	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
270	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
271	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
272	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
273	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
274	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₆₇	C₂³	1	1	yes	characteristic
276	#14524043	C₂×C₄	1	1	yes	characteristic
277	#14524042	C₂×C₄	1	1	yes	characteristic
278	#14524042	C₂×C₄	1	1	yes	characteristic
279	#14524040	C₂×C₄	1	1	yes	characteristic
280	#14524039	C₂×C₄	1	1	yes	characteristic
281	#14524039	C₂×C₄	1	1	yes	characteristic
282	#14524031	C₂×C₄	1	1	yes	characteristic
283	#14524031	C₂×C₄	1	1	yes	characteristic
284	#14524029	C₂×C₄	1	1	yes	characteristic
285	#14524029	C₂×C₄	1	1	yes	characteristic
286	#14524029	C₂×C₄	1	1	yes	characteristic
287	#14524029	C₂×C₄	1	1	yes	characteristic
288	#14524028	C₂×C₄	1	1	yes	characteristic
289	#14524028	C₂×C₄	1	1	yes	characteristic
290	#14524028	C₂×C₄	1	1	yes	characteristic
291	#14524028	C₂×C₄	1	1	yes	characteristic
292	#14524026	C₂×C₄	1	1	yes	characteristic
293	#14524026	C₂×C₄	1	1	yes	characteristic
294	#14524026	C₂×C₄	1	1	yes	characteristic
295	#14524026	C₂×C₄	1	1	yes	characteristic
296	#14524025	C₂×C₄	1	1	yes	characteristic
297	#14524025	C₂×C₄	1	1	yes	characteristic
298	#14524025	C₂×C₄	1	1	yes	characteristic
299	#14524025	C₂×C₄	1	1	yes	characteristic
300	#14524022	C₂×C₄	1	1	yes	characteristic
301	#14524022	C₂×C₄	1	1	yes	characteristic
302	#14524022	C₂×C₄	1	1	yes	characteristic
303	#14524022	C₂×C₄	1	1	yes	characteristic
304	#14524021	C₂×C₄	1	1	yes	characteristic
305	#14524021	C₂×C₄	1	1	yes	characteristic
306	#14524021	C₂×C₄	1	1	yes	characteristic
307	#14524021	C₂×C₄	1	1	yes	characteristic
308	#14524020	C₂×C₄	1	1	yes	characteristic
309	#14524020	C₂×C₄	1	1	yes	characteristic
310	#14524020	C₂×C₄	1	1	yes	characteristic
311	#14524020	C₂×C₄	1	1	yes	characteristic
312	#14524018	C₂×C₄	1	1	yes	characteristic
313	#14524018	C₂×C₄	1	1	yes	characteristic
314	#14524017	C₂×C₄	1	1	yes	characteristic
315	#14524017	C₂×C₄	1	1	yes	characteristic
316	#14524017	C₂×C₄	1	1	yes	characteristic
317	#14524017	C₂×C₄	1	1	yes	characteristic
318	#14524017	C₂×C₄	1	1	yes	characteristic
319	#14524017	C₂×C₄	1	1	yes	characteristic
320	#14524017	C₂×C₄	1	1	yes	characteristic
321	#14524017	C₂×C₄	1	1	yes	characteristic
322	#14524016	C₂×C₄	1	1	yes	characteristic
323	#14524016	C₂×C₄	1	1	yes	characteristic
324	#14524016	C₂×C₄	1	1	yes	characteristic
325	#14524016	C₂×C₄	1	1	yes	characteristic
326	#14524016	C₂×C₄	1	1	yes	characteristic
327	#14524016	C₂×C₄	1	1	yes	characteristic
328	#14524016	C₂×C₄	1	1	yes	characteristic
329	#14524016	C₂×C₄	1	1	yes	characteristic
330	#14524015	C₂×C₄	1	1	yes	characteristic
331	#14524015	C₂×C₄	1	1	yes	characteristic
332	#14524015	C₂×C₄	1	1	yes	characteristic
333	#14524015	C₂×C₄	1	1	yes	characteristic
334	#14524014	C₂×C₄	1	1	yes	characteristic
335	#14524014	C₂×C₄	1	1	yes	characteristic
336	#14524013	C₂×C₄	1	1	yes	characteristic
337	#14524013	C₂×C₄	1	1	yes	characteristic
338	#14524013	C₂×C₄	1	1	yes	characteristic
339	#14524013	C₂×C₄	1	1	yes	characteristic
340	#14524012	C₂×C₄	1	1	yes	characteristic
341	#14524012	C₂×C₄	1	1	yes	characteristic
342	#14524012	C₂×C₄	1	1	yes	characteristic
343	#14524012	C₂×C₄	1	1	yes	characteristic
344	#14524011	C₂×C₄	1	1	yes	characteristic
345	#14524011	C₂×C₄	1	1	yes	characteristic
346	#14524011	C₂×C₄	1	1	yes	characteristic
347	#14524011	C₂×C₄	1	1	yes	characteristic
348	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
349	C₄×Dic₁₃₄	C₂×C₄	1	1	yes	characteristic
350	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
351	C₄×D₂₆₈	C₂×C₄	1	1	yes	characteristic
352	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
353	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
354	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
355	C₄×D₂₆₈	C₂³	1	1	yes	characteristic
356	D₄×Dic₆₇	C₂×C₄	1	1	yes	characteristic
357	D₄×Dic₆₇	C₂×C₄	1	1	yes	characteristic
358	#14524005	C₂×C₄	1	1	yes	characteristic
359	#14524005	C₂×C₄	1	1	yes	characteristic
360	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
361	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
362	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
363	C₄×C₂²⋊D₆₇	C₂×C₄	1	1	yes	characteristic
364	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
365	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
366	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
367	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
368	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
369	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
370	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
371	C₄×C₂²⋊D₆₇	C₂³	1	1	yes	characteristic
372	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
373	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
374	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
375	(C₂²⋊D₆₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
376	#14524002	C₂³	1	1	yes	characteristic
377	#14524000	C₂³	1	1	yes	characteristic
378	#14524000	C₂³	1	1	yes	characteristic
379	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
380	C₄⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
381	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
382	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
383	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
384	C₂²⋊C₄×D₆₇	C₂×C₄	1	1	yes	characteristic
385	C₄²×D₆₇	C₂³	1	1	yes	characteristic
386	C₄²×D₆₇	C₂³	1	1	yes	characteristic
387	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
388	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
389	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
390	C₄⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
391	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
392	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
393	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
394	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
395	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
396	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
397	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
398	Dic₆₇⋊C₈	C₂³	1	1	yes	characteristic
399	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
400	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
401	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
402	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
403	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
404	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
405	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
406	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
407	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
408	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
409	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
410	C₂²⋊(C₆₇⋊C₈)	C₂³	1	1	yes	characteristic
411	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
412	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
413	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
414	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
415	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
416	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
417	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
418	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
419	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
420	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
421	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
422	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
423	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
424	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
425	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
426	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
427	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
428	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
429	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
430	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
431	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
432	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
433	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
434	(C₂×D₆₇)⋊C₈	C₂³	1	1	yes	characteristic
435	#14523954	C₂³	1	1	yes	characteristic
436	#14523954	C₂³	1	1	yes	characteristic
437	#14523953	C₂³	1	1	yes	characteristic
438	#14523953	C₂³	1	1	yes	characteristic
439	#14523953	C₂³	1	1	yes	characteristic
440	#14523953	C₂³	1	1	yes	characteristic
441	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
442	C₄×C₆₇⋊C₈	C₂³	1	1	yes	characteristic
443	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
444	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
445	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
446	C₈×Dic₆₇	C₂³	1	1	yes	characteristic
447	C₂²×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
448	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
449	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
450	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
451	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
452	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
453	C₂×M₁₆×C₆₇	C₂³	1	1	yes	characteristic
454	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
455	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
456	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
457	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
459	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
460	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
461	C₄×D₄×C₆₇	C₂×C₄	1	1	yes	characteristic
462	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
463	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
464	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
465	C₄×D₄×C₆₇	C₂³	1	1	yes	characteristic
466	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
467	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
468	C₂×C₂²⋊C₄×C₆₇	C₂×C₄	1	1	yes	characteristic
469	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
470	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
471	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
472	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
473	C₄⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
474	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
475	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
476	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
477	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
478	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
479	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
480	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
481	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
482	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
483	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
484	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
485	C₂²⋊C₈×C₆₇	C₂³	1	1	yes	characteristic
486	#97×C₆₇	C₂³	1	1	yes	characteristic
487	#97×C₆₇	C₂³	1	1	yes	characteristic
488	#97×C₆₇	C₂³	1	1	yes	characteristic
489	#97×C₆₇	C₂³	1	1	yes	characteristic
490	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
491	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
492	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
493	C₂³×D₆₇	C₂²×C₄	1	1	yes	characteristic
494	#11761628	—	2	2	no	—
495	#11761628	—	2	2	no	—
496	#11761628	—	2	2	no	—
497	#11761628	—	2	2	no	—
498	#11761628	—	2	2	no	—
499	#11761628	—	2	2	no	—
500	#11761628	—	4	2	no	—
501	#11761628	—	4	2	no	—
502	#11761628	—	4	2	no	—
503	#11761628	—	4	2	no	—
504	#11761628	—	4	1	no	—
505	#11761628	—	4	1	no	—
506	#11761628	—	4	1	no	—
507	#11761628	—	4	1	no	—
508	#11761628	—	4	1	no	—
509	#11761628	—	4	1	no	—
510	#11761628	—	4	1	no	—
511	#11761628	—	4	1	no	—
512	#11761628	—	4	2	no	—
513	#11761628	—	4	2	no	—
514	#11761628	—	4	2	no	—
515	#11761628	—	4	2	no	—
516	C₂×Dic₁₃₄	—	4	2	no	—
517	C₂×Dic₁₃₄	—	4	2	no	—
518	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
519	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
520	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
521	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
522	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
523	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
524	C₂×Dic₁₃₄	C₂²×C₄	1	1	yes	characteristic
525	C₂×D₂₆₈	—	4	2	no	—
526	C₂×D₂₆₈	—	4	2	no	—
527	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
528	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
529	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
530	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
531	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
532	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
533	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
534	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
535	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
536	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
537	C₂×D₂₆₈	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₆₇	—	4	2	no	—
539	C₂×C₂²⋊D₆₇	—	4	2	no	—
540	C₂×C₂²⋊D₆₇	—	4	2	no	—
541	C₂×C₂²⋊D₆₇	—	4	2	no	—
542	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₆₇	C₂²×C₄	1	1	yes	characteristic
564	D₄×D₆₇	—	4	2	no	—
565	D₄×D₆₇	—	4	2	no	—
566	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
567	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
568	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
569	C₂²×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₄×D₆₇	—	2	2	no	—
571	C₂×C₄×D₆₇	—	2	2	no	—
572	C₂×C₄×D₆₇	—	2	2	no	—
573	C₂×C₄×D₆₇	—	2	2	no	—
574	C₂×C₄×D₆₇	—	4	1	no	—
575	C₂×C₄×D₆₇	—	4	1	no	—
576	C₂×C₄×D₆₇	—	4	1	no	—
577	C₂×C₄×D₆₇	—	4	1	no	—
578	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×D₆₇	C₂²×C₄	1	1	yes	characteristic
590	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
591	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
593	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₆₇	C₂⁴	1	1	yes	characteristic
596	#11761612	—	4	1	no	—
597	#11761612	—	4	1	no	—
598	#11761612	—	4	1	no	—
599	#11761612	—	4	1	no	—
600	#11761611	—	2	2	no	—
601	#11761611	—	2	2	no	—
602	#11761611	—	2	2	no	—
603	#11761611	—	2	2	no	—
604	#11761611	—	4	1	no	—
605	#11761611	—	4	1	no	—
606	#11761611	—	4	1	no	—
607	#11761611	—	4	1	no	—
608	#11761611	—	4	1	no	—
609	#11761611	—	4	1	no	—
610	#11761611	—	4	1	no	—
611	#11761611	—	4	1	no	—
612	C₂×C₆₇⋊C₈	—	4	1	no	—
613	C₂×C₆₇⋊C₈	—	4	1	no	—
614	C₂×C₆₇⋊C₈	—	4	1	no	—
615	C₂×C₆₇⋊C₈	—	4	1	no	—
616	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
617	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
618	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
619	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
620	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
621	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
622	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
623	C₂×C₆₇⋊C₈	C₂⁴	1	1	yes	characteristic
624	C₈×D₆₇	—	2	2	no	—
625	C₈×D₆₇	—	2	2	no	—
626	C₈×D₆₇	—	2	2	no	—
627	C₈×D₆₇	—	2	2	no	—
628	C₈×D₆₇	—	4	1	no	—
629	C₈×D₆₇	—	4	1	no	—
630	C₈×D₆₇	—	4	1	no	—
631	C₈×D₆₇	—	4	1	no	—
632	C₈×D₆₇	—	4	1	no	—
633	C₈×D₆₇	—	4	1	no	—
634	C₈×D₆₇	—	4	1	no	—
635	C₈×D₆₇	—	4	1	no	—
636	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
637	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
638	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
639	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
640	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
641	C₄⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
642	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
646	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
649	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	Dic₆₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
655	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
656	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
657	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
658	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
659	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
660	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
661	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
662	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
663	C₂²⋊Dic₆₇	C₂²×C₄	1	1	yes	characteristic
664	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	(C₂×D₆₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
685	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
686	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
687	C₄×Dic₆₇	C₂²×C₄	1	1	yes	characteristic
688	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₆₇	C₂⁴	1	1	yes	characteristic
690	C₂⁴×C₆₇	C₂²×C₄	1	1	yes	characteristic
691	C₂⁴×C₆₇	C₂²×C₄	1	1	yes	characteristic
692	C₂×D₄×C₆₇	—	4	2	no	—
693	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
694	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
695	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
696	C₂×D₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
697	C₂²×C₄×C₆₇	—	4	1	no	—
698	C₂²×C₄×C₆₇	—	4	1	no	—
699	C₂²×C₄×C₆₇	—	4	1	no	—
700	C₂²×C₄×C₆₇	—	4	1	no	—
701	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
702	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
703	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
704	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
705	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
706	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
707	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
708	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
709	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
710	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
711	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
712	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
713	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
714	M₁₆×C₆₇	—	4	1	no	—
715	M₁₆×C₆₇	—	4	1	no	—
716	M₁₆×C₆₇	—	4	1	no	—
717	M₁₆×C₆₇	—	4	1	no	—
718	C₂×C₈×C₆₇	—	4	1	no	—
719	C₂×C₈×C₆₇	—	4	1	no	—
720	C₂×C₈×C₆₇	—	4	1	no	—
721	C₂×C₈×C₆₇	—	4	1	no	—
722	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
723	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
724	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
725	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
726	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
727	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
728	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
729	C₂×C₈×C₆₇	C₂⁴	1	1	yes	characteristic
730	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
731	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
732	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
733	C₄⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
734	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
735	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
736	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
737	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
738	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
739	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
740	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
741	C₂²⋊C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
742	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
743	C₄²×C₆₇	C₂²×C₄	1	1	yes	characteristic
744	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
745	C₄²×C₆₇	C₂⁴	1	1	yes	characteristic
746	C₂³×C₆₇	—	2	2	no	—
747	C₂³×C₆₇	—	4	1	no	—
748	C₂³×C₆₇	—	4	1	no	—
749	C₂³×C₆₇	—	4	1	no	—
750	C₂³×C₆₇	—	4	1	no	—
751	C₂³×C₆₇	—	4	1	no	—
752	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
753	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
754	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
755	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
756	C₂³×C₆₇	C₂³×C₄	1	1	yes	characteristic
757	C₂²×D₆₇	—	2	2	no	—
758	C₂²×D₆₇	—	2	2	no	—
759	C₂²×D₆₇	—	2	2	no	—
760	C₂²×D₆₇	—	2	2	no	—
761	C₂²×D₆₇	—	4	1	no	—
762	C₂²×D₆₇	—	4	1	no	—
763	C₂²×D₆₇	—	4	1	no	—
764	C₂²×D₆₇	—	4	1	no	—
765	C₂²×D₆₇	—	4	1	no	—
766	C₂²×D₆₇	—	4	1	no	—
767	C₂²×D₆₇	—	4	1	no	—
768	C₂²×D₆₇	—	4	1	no	—
769	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
770	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
771	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
772	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
773	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
774	C₂²×D₆₇	C₂³×C₄	1	1	yes	characteristic
775	D₄×C₆₇	—	2	2	no	—
776	D₄×C₆₇	—	2	2	no	—
777	D₄×C₆₇	—	4	1	no	—
778	D₄×C₆₇	—	4	1	no	—
779	C₂×C₄×C₆₇	—	2	1	no	—
780	C₂×C₄×C₆₇	—	2	1	no	—
781	C₂×C₄×C₆₇	—	2	1	no	—
782	C₂×C₄×C₆₇	—	2	1	no	—
783	C₂×C₄×C₆₇	—	2	1	no	—
784	C₂×C₄×C₆₇	—	2	1	no	—
785	C₂×C₄×C₆₇	—	2	1	no	—
786	C₂×C₄×C₆₇	—	2	1	no	—
787	C₂×C₄×C₆₇	—	2	1	no	—
788	C₂×C₄×C₆₇	—	2	1	no	—
789	C₂×C₄×C₆₇	—	4	1	no	—
790	C₂×C₄×C₆₇	—	4	1	no	—
791	C₂×C₄×C₆₇	—	4	1	no	—
792	C₂×C₄×C₆₇	—	4	1	no	—
793	C₂×C₄×C₆₇	—	4	1	no	—
794	C₂×C₄×C₆₇	—	4	1	no	—
795	C₂×C₄×C₆₇	—	4	1	no	—
796	C₂×C₄×C₆₇	—	4	1	no	—
797	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
798	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
799	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
800	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
801	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
802	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
803	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
804	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
805	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
806	C₂×C₄×C₆₇	C₂⁵	1	1	yes	characteristic
807	C₂²⋊D₆₇	—	2	2	no	—
808	C₂²⋊D₆₇	—	2	2	no	—
809	C₂²⋊D₆₇	—	2	2	no	—
810	C₂²⋊D₆₇	—	2	2	no	—
811	C₂²⋊D₆₇	—	2	2	no	—
812	C₂²⋊D₆₇	—	2	2	no	—
813	C₂²⋊D₆₇	—	2	2	no	—
814	C₂²⋊D₆₇	—	2	2	no	—
815	C₂²⋊D₆₇	—	4	1	no	—
816	C₂²⋊D₆₇	—	4	1	no	—
817	C₂²⋊D₆₇	—	4	1	no	—
818	C₂²⋊D₆₇	—	4	1	no	—
819	C₂²⋊D₆₇	—	4	1	no	—
820	C₂²⋊D₆₇	—	4	1	no	—
821	C₂²⋊D₆₇	—	4	1	no	—
822	C₂²⋊D₆₇	—	4	1	no	—
823	C₂²⋊D₆₇	—	4	1	no	—
824	C₂²⋊D₆₇	—	4	1	no	—
825	C₂²⋊D₆₇	—	4	1	no	—
826	C₂²⋊D₆₇	—	4	1	no	—
827	C₂²⋊D₆₇	—	4	1	no	—
828	C₂²⋊D₆₇	—	4	1	no	—
829	C₂×Dic₆₇	—	2	2	no	—
830	C₂×Dic₆₇	—	2	2	no	—
831	C₂×Dic₆₇	—	4	1	no	—
832	C₂×Dic₆₇	—	4	1	no	—
833	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
834	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
835	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
836	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
837	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
838	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
839	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
840	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
841	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
842	C₂×Dic₆₇	C₂³×C₄	1	1	yes	characteristic
843	D₂₆₈	—	2	2	no	—
844	D₂₆₈	—	2	2	no	—
845	D₂₆₈	—	2	2	no	—
846	D₂₆₈	—	4	1	no	—
847	D₂₆₈	—	4	1	no	—
848	D₂₆₈	—	4	1	no	—
849	D₂₆₈	—	4	1	no	—
850	D₂₆₈	—	4	1	no	—
851	D₂₆₈	—	4	1	no	—
852	D₂₆₈	—	4	1	no	—
853	D₂₆₈	—	4	1	no	—
854	C₄×D₆₇	—	2	2	no	—
855	C₄×D₆₇	—	2	2	no	—
856	C₄×D₆₇	—	2	1	no	—
857	C₄×D₆₇	—	2	1	no	—
858	C₄×D₆₇	—	2	1	no	—
859	C₄×D₆₇	—	2	1	no	—
860	C₄×D₆₇	—	2	1	no	—
861	C₄×D₆₇	—	2	1	no	—
862	C₄×D₆₇	—	2	1	no	—
863	C₄×D₆₇	—	2	1	no	—
864	C₄×D₆₇	—	2	1	no	—
865	C₄×D₆₇	—	2	1	no	—
866	C₄×D₆₇	—	2	2	no	—
867	C₄×D₆₇	—	2	2	no	—
868	C₄×D₆₇	—	4	1	no	—
869	C₄×D₆₇	—	4	1	no	—
870	C₄×D₆₇	—	4	1	no	—
871	C₄×D₆₇	—	4	1	no	—
872	C₄×D₆₇	—	4	1	no	—
873	C₄×D₆₇	—	4	1	no	—
874	C₄×D₆₇	—	4	1	no	—
875	C₄×D₆₇	—	4	1	no	—
876	C₄×D₆₇	H(5,𝔽₂)	1	2	yes	—
877	C₄×D₆₇	H(5,𝔽₂)	1	2	yes	—
878	Dic₁₃₄	—	2	2	no	—
879	Dic₁₃₄	—	2	2	no	—
880	Dic₁₃₄	—	2	2	no	—
881	Dic₁₃₄	—	4	1	no	—
882	Dic₁₃₄	—	4	1	no	—
883	Dic₁₃₄	—	4	1	no	—
884	Dic₁₃₄	—	4	1	no	—
885	C₈×C₆₇	—	2	1	no	—
886	C₈×C₆₇	—	2	1	no	—
887	C₈×C₆₇	—	2	1	no	—
888	C₈×C₆₇	—	2	1	no	—
889	C₈×C₆₇	—	2	1	no	—
890	C₈×C₆₇	—	2	1	no	—
891	C₈×C₆₇	—	2	1	no	—
892	C₈×C₆₇	—	2	1	no	—
893	C₆₇⋊C₈	—	2	1	no	—
894	C₆₇⋊C₈	—	2	1	no	—
895	C₆₇⋊C₈	—	2	1	no	—
896	C₆₇⋊C₈	—	2	1	no	—
897	C₆₇⋊C₈	—	2	1	no	—
898	C₆₇⋊C₈	—	2	1	no	—
899	C₆₇⋊C₈	—	2	1	no	—
900	C₆₇⋊C₈	—	2	1	no	—
901	C₂²×C₆₇	—	2	1	no	—
902	C₂²×C₆₇	—	2	1	no	—
903	C₂²×C₆₇	—	2	1	no	—
904	C₂²×C₆₇	—	2	1	no	—
905	C₂²×C₆₇	—	2	1	no	—
906	C₂²×C₆₇	—	2	1	no	—
907	C₂²×C₆₇	—	2	1	no	—
908	C₂²×C₆₇	—	2	1	no	—
909	C₂²×C₆₇	—	2	1	no	—
910	C₂²×C₆₇	—	2	1	no	—
911	C₂²×C₆₇	—	2	1	no	—
912	C₂²×C₆₇	—	2	1	no	—
913	C₂²×C₆₇	—	2	1	no	—
914	C₂²×C₆₇	—	2	1	no	—
915	C₂²×C₆₇	—	8	2	no	—
916	C₂²×C₆₇	—	8	2	no	—
917	C₂²×C₆₇	#568	1	2	yes	—
918	C₂²×C₆₇	C₂⁴×C₄	1	1	yes	characteristic
919	C₂×D₆₇	—	2	1	no	—
920	C₂×D₆₇	—	2	1	no	—
921	C₂×D₆₇	—	2	1	no	—
922	C₂×D₆₇	—	2	1	no	—
923	C₂×D₆₇	—	2	1	no	—
924	C₂×D₆₇	—	2	1	no	—
925	C₂×D₆₇	—	2	1	no	—
926	C₂×D₆₇	—	2	1	no	—
927	C₂×D₆₇	—	2	1	no	—
928	C₂×D₆₇	—	2	1	no	—
929	C₂×D₆₇	—	2	1	no	—
930	C₂×D₆₇	—	2	1	no	—
931	C₂×D₆₇	—	2	1	no	—
932	C₂×D₆₇	—	2	1	no	—
933	C₂×D₆₇	—	2	1	no	—
934	C₂×D₆₇	—	2	1	no	—
935	C₂×D₆₇	—	2	1	no	—
936	C₂×D₆₇	—	4	4	no	—
937	C₂×D₆₇	—	8	2	no	—
938	C₂×D₆₇	—	8	2	no	—
939	C₂×D₆₇	—	8	2	no	—
940	C₂×D₆₇	#518	1	2	yes	—
941	C₄×C₆₇	—	2	1	no	—
942	C₄×C₆₇	—	2	1	no	—
943	C₄×C₆₇	—	2	1	no	—
944	C₄×C₆₇	—	2	1	no	—
945	C₄×C₆₇	—	2	1	no	—
946	C₄×C₆₇	—	2	1	no	—
947	C₄×C₆₇	—	2	1	no	—
948	C₄×C₆₇	—	2	1	no	—
949	C₄×C₆₇	—	2	1	no	—
950	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
951	C₄×C₆₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
952	Dic₆₇	—	2	1	no	—
953	Dic₆₇	—	2	1	no	—
954	Dic₆₇	—	2	1	no	—
955	Dic₆₇	—	2	1	no	—
956	Dic₆₇	—	2	1	no	—
957	Dic₆₇	—	2	1	no	—
958	Dic₆₇	—	2	1	no	—
959	Dic₆₇	—	2	1	no	—
960	Dic₆₇	—	2	1	no	—
961	Dic₆₇	#518	1	2	yes	—
962	#60240	—	67	1	no	maximal, Sylow
963	C₂×C₆₇	—	2	2	no	—
964	C₂×C₆₇	—	4	1	no	—
965	C₂×C₆₇	—	4	1	no	—
966	C₂×C₆₇	—	4	1	no	—
967	C₂×C₆₇	—	4	1	no	—
968	C₂×C₆₇	C₂×#518	1	1	yes	characteristic
969	C₂×C₆₇	C₂×#568	1	1	yes	characteristic
970	C₂×C₆₇	#3573	1	1	yes	characteristic
971	D₆₇	—	2	2	no	—
972	D₆₇	—	4	1	no	—
973	D₆₇	—	4	1	no	—
974	D₆₇	—	4	1	no	—
975	D₆₇	—	4	1	no	—
976	D₆₇	—	4	1	no	—
977	D₄×#41	—	67	1	no	—
978	#2981	—	67	1	no	—
979	#2981	—	67	1	no	—
980	#2980	—	67	1	no	—
981	#2980	—	67	1	no	—
982	#2978	—	67	1	no	—
983	#2978	—	67	1	no	—
984	#2977	—	67	1	no	—
985	#2977	—	67	1	no	—
986	#2976	—	67	1	no	—
987	#2976	—	67	1	no	—
988	#2976	—	67	1	no	—
989	#2976	—	67	1	no	—
990	#2974	—	67	1	no	—
991	#2974	—	67	1	no	—
992	#2973	—	67	1	no	—
993	#2973	D₆₇	1	1	yes	characteristic, complemented
994	#2935	—	67	1	no	—
995	D₄×M₁₆	—	67	1	no	—
996	#2933	—	67	1	no	—
997	#2933	—	67	1	no	—
998	#2932	—	67	1	no	—
999	#2930	—	67	1	no	—
1000	#2929	—	67	1	no	—
1001	C₂×#435	—	67	1	no	—
1002	#2925	—	67	1	no	—
1003	#2923	—	67	1	no	—
1004	#2880	—	67	1	no	—
1005	#2880	—	67	1	no	—
1006	#2879	—	67	1	no	—
1007	C₂×#408	—	67	1	no	—
1008	C₆₇	#60240	1	1	yes	characteristic, complemented, Sylow
1009	C₂²×#41	—	67	1	no	—
1010	C₂²×#41	—	67	1	no	—
1011	C₂×#131	—	67	1	no	—
1012	C₂×#131	—	67	1	no	—
1013	C₂×#131	—	67	1	no	—
1014	C₂×#131	—	67	1	no	—
1015	C₂²×M₁₆	—	67	1	no	—
1016	C₂²×M₁₆	—	67	1	no	—
1017	C₂²×M₁₆	—	67	1	no	—
1018	C₂³×C₈	—	67	1	no	—
1019	#550	—	67	1	no	—
1020	D₄×Q₈	—	67	1	no	—
1021	#548	—	67	1	no	—
1022	#548	—	67	1	no	—
1023	#547	—	67	1	no	—
1024	#547	—	67	1	no	—
1025	#547	—	67	1	no	—
1026	#546	—	67	1	no	—
1027	#546	—	67	1	no	—
1028	#546	—	67	1	no	—
1029	#546	—	67	1	no	—
1030	#546	—	67	1	no	—
1031	#546	—	67	1	no	—
1032	D₄²	—	67	1	no	—
1033	D₄²	—	67	1	no	—
1034	D₄²	—	67	1	no	—
1035	#532	—	67	1	no	—
1036	#532	—	67	1	no	—
1037	#532	—	67	1	no	—
1038	#525	—	67	1	no	—
1039	#525	—	67	1	no	—
1040	#525	—	67	1	no	—
1041	#525	—	67	1	no	—
1042	#525	—	67	1	no	—
1043	#525	—	67	1	no	—
1044	C₄×#41	—	67	1	no	—
1045	C₂×C₄×D₄	—	67	1	no	—
1046	C₂×C₄×D₄	—	67	1	no	—
1047	C₂×C₄×D₄	C₂×D₆₇	1	1	yes	characteristic
1048	#436	—	67	1	no	—
1049	#436	—	67	1	no	—
1050	#436	—	67	1	no	—
1051	#436	—	67	1	no	—
1052	#436	—	67	1	no	—
1053	#436	—	67	1	no	—
1054	#436	—	67	1	no	—
1055	#436	—	67	1	no	—
1056	#436	—	67	1	no	—
1057	#436	—	67	1	no	—
1058	#436	—	67	1	no	—
1059	#436	—	67	1	no	—
1060	#435	—	67	1	no	—
1061	#435	—	67	1	no	—
1062	#435	—	67	1	no	—
1063	#435	—	67	1	no	—
1064	#435	—	67	1	no	—
1065	#435	—	67	1	no	—
1066	#435	—	67	1	no	—
1067	#435	—	67	1	no	—
1068	#435	—	67	1	no	—
1069	#435	—	67	1	no	—
1070	#435	—	67	1	no	—
1071	#435	—	67	1	no	—
1072	#435	—	67	1	no	—
1073	#435	—	67	1	no	—
1074	#435	—	67	1	no	—
1075	#435	—	67	1	no	—
1076	#435	—	67	1	no	—
1077	#435	—	67	1	no	—
1078	#435	—	67	1	no	—
1079	#435	—	67	1	no	—
1080	#435	—	67	1	no	—
1081	#435	—	67	1	no	—
1082	#435	—	67	1	no	—
1083	#435	—	67	1	no	—
1084	#435	—	67	1	no	—
1085	#435	—	67	1	no	—
1086	#435	—	67	1	no	—
1087	#435	—	67	1	no	—
1088	#435	—	67	1	no	—
1089	#435	—	67	1	no	—
1090	#435	—	67	1	no	—
1091	#435	—	67	1	no	—
1092	#435	C₂×D₆₇	1	1	yes	characteristic
1093	#435	C₂×D₆₇	1	1	yes	characteristic
1094	#435	C₂×D₆₇	1	1	yes	characteristic, complemented
1095	#435	C₂×D₆₇	1	1	yes	characteristic, complemented
1096	#435	C₂×D₆₇	1	1	yes	characteristic, complemented
1097	#435	C₂×D₆₇	1	1	yes	characteristic, complemented
1098	#435	C₂×D₆₇	1	1	yes	characteristic, complemented
1099	#435	C₂×D₆₇	1	1	yes	characteristic, complemented
1100	C₈×D₄	—	67	1	no	—
1101	C₈×D₄	—	67	1	no	—
1102	C₈×D₄	—	67	1	no	—
1103	C₈×D₄	—	67	1	no	—
1104	C₈×D₄	—	67	1	no	—
1105	C₈×D₄	—	67	1	no	—
1106	C₈×D₄	—	67	1	no	—
1107	C₈×D₄	—	67	1	no	—
1108	C₈×D₄	—	67	1	no	—
1109	C₈×D₄	—	67	1	no	—
1110	C₈×D₄	—	67	1	no	—
1111	C₈×D₄	—	67	1	no	—
1112	#433	—	67	1	no	—
1113	#433	—	67	1	no	—
1114	#433	—	67	1	no	—
1115	#433	—	67	1	no	—
1116	#433	—	67	1	no	—
1117	#433	—	67	1	no	—
1118	#433	—	67	1	no	—
1119	#433	—	67	1	no	—
1120	#432	—	67	1	no	—
1121	#432	—	67	1	no	—
1122	#432	—	67	1	no	—
1123	#432	—	67	1	no	—
1124	#432	C₂×D₆₇	1	1	yes	characteristic, complemented
1125	#432	C₂×D₆₇	1	1	yes	characteristic, complemented
1126	#431	—	67	1	no	—
1127	#431	—	67	1	no	—
1128	#424	—	67	1	no	—
1129	#424	—	67	1	no	—
1130	#423	—	67	1	no	—
1131	C₂×C₄⋊C₈	—	67	1	no	—
1132	#408	—	67	1	no	—
1133	#408	—	67	1	no	—
1134	#408	—	67	1	no	—
1135	#408	—	67	1	no	—
1136	#408	—	67	1	no	—
1137	#408	—	67	1	no	—
1138	#408	—	67	1	no	—
1139	#408	—	67	1	no	—
1140	#408	—	67	1	no	—
1141	#408	—	67	1	no	—
1142	#408	—	67	1	no	—
1143	#408	—	67	1	no	—
1144	#408	—	67	1	no	—
1145	#408	—	67	1	no	—
1146	#408	—	67	1	no	—
1147	#408	—	67	1	no	—
1148	#408	—	67	1	no	—
1149	#408	—	67	1	no	—
1150	#408	—	67	1	no	—
1151	#408	—	67	1	no	—
1152	#408	—	67	1	no	—
1153	#408	—	67	1	no	—
1154	#408	—	67	1	no	—
1155	#408	—	67	1	no	—
1156	#407	—	67	1	no	—
1157	#407	—	67	1	no	—
1158	#407	—	67	1	no	—
1159	#407	—	67	1	no	—
1160	#407	—	67	1	no	—
1161	#407	—	67	1	no	—
1162	#407	—	67	1	no	—
1163	#407	—	67	1	no	—
1164	#407	C₂×D₆₇	1	1	yes	characteristic, complemented
1165	#407	C₂×D₆₇	1	1	yes	characteristic, complemented
1166	C₂×C₂²⋊C₈	—	67	1	no	—
1167	C₂×C₂²⋊C₈	—	67	1	no	—
1168	C₂×C₂²⋊C₈	—	67	1	no	—
1169	C₂×C₂²⋊C₈	—	67	1	no	—
1170	C₂×C₂²⋊C₈	—	67	1	no	—
1171	C₂×C₂²⋊C₈	—	67	1	no	—
1172	C₂×C₂²⋊C₈	—	67	1	no	—
1173	C₂×C₂²⋊C₈	—	67	1	no	—
1174	C₂×C₂²⋊C₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1175	C₂×C₂²⋊C₈	C₂×D₆₇	1	1	yes	characteristic, complemented
1176	#405	—	67	1	no	—
1177	#405	—	67	1	no	—
1178	C₄×M₁₆	—	67	1	no	—
1179	C₂×#97	—	67	1	no	—
1180	C₂×#41	—	268	2	no	—
1181	C₂×#41	—	268	2	no	—
1182	C₂×#41	—	268	2	no	—
1183	C₂×#41	—	268	2	no	—
1184	C₂×#41	—	67	1	no	—
1185	C₂×#41	—	67	1	no	—
1186	C₂×#41	—	67	1	no	—
1187	C₂×#41	—	67	1	no	—
1188	C₂×#41	—	67	1	no	—
1189	C₂×#41	—	67	1	no	—
1190	C₂×#41	—	67	1	no	—
1191	C₂×#41	—	67	1	no	—
1192	C₂×#41	—	67	1	no	—
1193	C₂×#41	—	67	1	no	—
1194	C₂×#41	—	67	1	no	—
1195	C₂×#41	—	67	1	no	—
1196	C₂×#41	—	67	1	no	—
1197	C₂×#41	—	67	1	no	—
1198	C₂×#41	—	67	1	no	—
1199	C₂²×Q₈	—	67	1	no	—
1200	C₂²×Q₈	—	67	1	no	—
1201	C₂²×D₄	—	67	1	no	—
1202	C₂²×D₄	—	67	1	no	—
1203	C₂²×D₄	—	67	1	no	—
1204	C₂²×D₄	—	67	1	no	—
1205	C₂²×D₄	—	67	1	no	—
1206	C₂²×D₄	—	67	1	no	—
1207	C₂²×D₄	—	67	1	no	—
1208	C₂²×D₄	—	67	1	no	—
1209	C₂²×D₄	C₄×D₆₇	1	1	yes	characteristic
1210	C₂³×C₄	—	67	1	no	—
1211	C₂³×C₄	—	67	1	no	—
1212	C₂³×C₄	—	67	1	no	—
1213	C₂³×C₄	—	67	1	no	—
1214	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1215	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
1216	#131	—	268	2	no	—
1217	#131	—	268	2	no	—
1218	#131	—	268	2	no	—
1219	#131	—	268	2	no	—
1220	C₂×M₁₆	—	268	2	no	—
1221	C₂×M₁₆	—	268	2	no	—
1222	C₂×M₁₆	—	268	2	no	—
1223	C₂×M₁₆	—	67	1	no	—
1224	C₂×M₁₆	—	67	1	no	—
1225	C₂×M₁₆	—	67	1	no	—
1226	C₂×M₁₆	—	67	1	no	—
1227	C₂×M₁₆	—	67	1	no	—
1228	C₂×M₁₆	—	67	1	no	—
1229	C₂×M₁₆	—	67	1	no	—
1230	C₂×M₁₆	—	67	1	no	—
1231	C₂×M₁₆	—	67	1	no	—
1232	C₂×M₁₆	—	67	1	no	—
1233	C₂×M₁₆	—	67	1	no	—
1234	C₂×M₁₆	—	67	1	no	—
1235	C₂×M₁₆	—	67	1	no	—
1236	C₂×M₁₆	—	67	1	no	—
1237	C₂×M₁₆	—	67	1	no	—
1238	C₂×M₁₆	—	67	1	no	—
1239	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1240	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1241	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1242	C₂×M₁₆	C₂²×D₆₇	1	1	yes	characteristic
1243	C₂²×C₈	—	268	2	no	—
1244	C₂²×C₈	—	67	1	no	—
1245	C₂²×C₈	—	67	1	no	—
1246	C₂²×C₈	—	67	1	no	—
1247	C₂²×C₈	—	67	1	no	—
1248	C₂²×C₈	—	67	1	no	—
1249	C₂²×C₈	—	67	1	no	—
1250	C₂²×C₈	—	67	1	no	—
1251	C₂²×C₈	—	67	1	no	—
1252	C₂²×C₈	—	67	1	no	—
1253	C₂²×C₈	—	67	1	no	—
1254	C₂²×C₈	—	67	1	no	—
1255	C₂²×C₈	—	67	1	no	—
1256	C₂²×C₈	—	67	1	no	—
1257	C₂²×C₈	—	67	1	no	—
1258	C₂²×C₈	—	67	1	no	—
1259	C₂²×C₈	—	67	1	no	—
1260	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
1261	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
1262	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
1263	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
1264	C₄⋊Q₈	—	67	1	no	—
1265	C₄⋊Q₈	—	67	1	no	—
1266	C₄⋊Q₈	—	67	1	no	—
1267	#127	—	67	1	no	—
1268	#127	—	67	1	no	—
1269	#127	—	67	1	no	—
1270	#124	—	67	1	no	—
1271	#124	—	67	1	no	—
1272	#124	—	67	1	no	—
1273	#124	—	67	1	no	—
1274	#124	—	67	1	no	—
1275	#124	—	67	1	no	—
1276	#123	—	67	1	no	—
1277	#123	—	67	1	no	—
1278	#123	—	67	1	no	—
1279	#123	—	67	1	no	—
1280	#123	—	67	1	no	—
1281	#123	—	67	1	no	—
1282	#123	—	67	1	no	—
1283	#123	—	67	1	no	—
1284	#123	—	67	1	no	—
1285	#123	—	67	1	no	—
1286	#123	—	67	1	no	—
1287	#123	—	67	1	no	—
1288	C₂²⋊Q₈	—	67	1	no	—
1289	C₂²⋊Q₈	—	67	1	no	—
1290	C₂²⋊Q₈	—	67	1	no	—
1291	C₂²⋊Q₈	—	67	1	no	—
1292	C₂²⋊Q₈	—	67	1	no	—
1293	C₂²⋊Q₈	—	67	1	no	—
1294	C₂²⋊Q₈	—	67	1	no	—
1295	C₂²⋊Q₈	—	67	1	no	—
1296	C₂²⋊Q₈	—	67	1	no	—
1297	C₂²⋊Q₈	—	67	1	no	—
1298	C₂²⋊Q₈	—	67	1	no	—
1299	C₂²⋊Q₈	—	67	1	no	—
1300	#121	—	67	1	no	—
1301	#121	—	67	1	no	—
1302	#121	—	67	1	no	—
1303	#121	—	67	1	no	—
1304	#121	—	67	1	no	—
1305	#121	—	67	1	no	—
1306	#121	—	67	1	no	—
1307	#121	—	67	1	no	—
1308	#121	—	67	1	no	—
1309	#121	—	67	1	no	—
1310	#121	—	67	1	no	—
1311	#121	—	67	1	no	—
1312	#121	—	67	1	no	—
1313	#121	—	67	1	no	—
1314	#121	—	67	1	no	—
1315	#121	—	67	1	no	—
1316	#121	—	67	1	no	—
1317	#121	—	67	1	no	—
1318	#121	—	67	1	no	—
1319	#121	—	67	1	no	—
1320	#121	—	67	1	no	—
1321	#121	—	67	1	no	—
1322	#121	—	67	1	no	—
1323	#121	—	67	1	no	—
1324	#120	—	67	1	no	—
1325	#120	—	67	1	no	—
1326	#120	—	67	1	no	—
1327	#120	—	67	1	no	—
1328	#120	—	67	1	no	—
1329	#120	—	67	1	no	—
1330	#120	—	67	1	no	—
1331	#120	—	67	1	no	—
1332	#120	—	67	1	no	—
1333	#120	—	67	1	no	—
1334	#120	—	67	1	no	—
1335	#120	—	67	1	no	—
1336	C₄×Q₈	—	67	1	no	—
1337	C₄×Q₈	—	67	1	no	—
1338	C₄×D₄	—	67	1	no	—
1339	C₄×D₄	—	67	1	no	—
1340	C₄×D₄	—	67	1	no	—
1341	C₄×D₄	—	67	1	no	—
1342	C₄×D₄	—	67	1	no	—
1343	C₄×D₄	—	67	1	no	—
1344	C₄×D₄	—	67	1	no	—
1345	C₄×D₄	—	67	1	no	—
1346	C₄×D₄	—	67	1	no	—
1347	C₄×D₄	—	67	1	no	—
1348	C₄×D₄	—	67	1	no	—
1349	C₄×D₄	—	67	1	no	—
1350	C₄×D₄	—	67	1	no	—
1351	C₄×D₄	—	67	1	no	—
1352	C₄×D₄	—	67	1	no	—
1353	C₄×D₄	—	67	1	no	—
1354	C₄×D₄	—	67	1	no	—
1355	C₄×D₄	—	67	1	no	—
1356	C₄×D₄	—	67	1	no	—
1357	C₄×D₄	—	67	1	no	—
1358	C₄×D₄	—	67	1	no	—
1359	C₄×D₄	—	67	1	no	—
1360	C₄×D₄	—	67	1	no	—
1361	C₄×D₄	—	67	1	no	—
1362	C₄×D₄	—	67	1	no	—
1363	C₄×D₄	—	67	1	no	—
1364	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1365	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1366	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1367	C₄×D₄	C₄×D₆₇	1	1	yes	characteristic
1368	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1369	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1370	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1371	C₄×D₄	C₂²×D₆₇	1	1	yes	characteristic
1372	#117	—	67	1	no	—
1373	#117	—	67	1	no	—
1374	#117	—	67	1	no	—
1375	C₂×C₄⋊C₄	—	67	1	no	—
1376	C₂×C₄⋊C₄	—	67	1	no	—
1377	C₂×C₄⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1378	C₂×C₂²⋊C₄	—	67	1	no	—
1379	C₂×C₂²⋊C₄	—	67	1	no	—
1380	C₂×C₂²⋊C₄	—	67	1	no	—
1381	C₂×C₂²⋊C₄	—	67	1	no	—
1382	C₂×C₂²⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1383	C₂×C₂²⋊C₄	C₄×D₆₇	1	1	yes	characteristic
1384	C₂×C₄²	—	67	1	no	—
1385	C₂×C₄²	—	67	1	no	—
1386	C₂×C₄²	C₂²×D₆₇	1	1	yes	characteristic
1387	C₄⋊C₈	—	67	1	no	—
1388	C₄⋊C₈	—	67	1	no	—
1389	C₄⋊C₈	—	67	1	no	—
1390	C₄⋊C₈	—	67	1	no	—
1391	C₄⋊C₈	—	67	1	no	—
1392	C₄⋊C₈	—	67	1	no	—
1393	C₄⋊C₈	—	67	1	no	—
1394	C₄⋊C₈	—	67	1	no	—
1395	C₄⋊C₈	—	67	1	no	—
1396	C₄⋊C₈	—	67	1	no	—
1397	C₄⋊C₈	—	67	1	no	—
1398	C₄⋊C₈	—	67	1	no	—
1399	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1400	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1401	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1402	C₄⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1403	C₂²⋊C₈	—	67	1	no	—
1404	C₂²⋊C₈	—	67	1	no	—
1405	C₂²⋊C₈	—	67	1	no	—
1406	C₂²⋊C₈	—	67	1	no	—
1407	C₂²⋊C₈	—	67	1	no	—
1408	C₂²⋊C₈	—	67	1	no	—
1409	C₂²⋊C₈	—	67	1	no	—
1410	C₂²⋊C₈	—	67	1	no	—
1411	C₂²⋊C₈	—	67	1	no	—
1412	C₂²⋊C₈	—	67	1	no	—
1413	C₂²⋊C₈	—	67	1	no	—
1414	C₂²⋊C₈	—	67	1	no	—
1415	C₂²⋊C₈	—	67	1	no	—
1416	C₂²⋊C₈	—	67	1	no	—
1417	C₂²⋊C₈	—	67	1	no	—
1418	C₂²⋊C₈	—	67	1	no	—
1419	C₂²⋊C₈	—	67	1	no	—
1420	C₂²⋊C₈	—	67	1	no	—
1421	C₂²⋊C₈	—	67	1	no	—
1422	C₂²⋊C₈	—	67	1	no	—
1423	C₂²⋊C₈	—	67	1	no	—
1424	C₂²⋊C₈	—	67	1	no	—
1425	C₂²⋊C₈	—	67	1	no	—
1426	C₂²⋊C₈	—	67	1	no	—
1427	C₂²⋊C₈	—	67	1	no	—
1428	C₂²⋊C₈	—	67	1	no	—
1429	C₂²⋊C₈	—	67	1	no	—
1430	C₂²⋊C₈	—	67	1	no	—
1431	C₂²⋊C₈	—	67	1	no	—
1432	C₂²⋊C₈	—	67	1	no	—
1433	C₂²⋊C₈	—	67	1	no	—
1434	C₂²⋊C₈	—	67	1	no	—
1435	C₂²⋊C₈	—	67	1	no	—
1436	C₂²⋊C₈	—	67	1	no	—
1437	C₂²⋊C₈	—	67	1	no	—
1438	C₂²⋊C₈	—	67	1	no	—
1439	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1440	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1441	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1442	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1443	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1444	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1445	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1446	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1447	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1448	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1449	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1450	C₂²⋊C₈	C₂²×D₆₇	1	1	yes	characteristic
1451	#97	—	67	1	no	—
1452	#97	—	67	1	no	—
1453	#97	—	67	1	no	—
1454	#97	—	67	1	no	—
1455	#97	—	67	1	no	—
1456	#97	—	67	1	no	—
1457	#97	C₂²×D₆₇	1	1	yes	characteristic
1458	#97	C₂²×D₆₇	1	1	yes	characteristic
1459	#97	C₂²×D₆₇	1	1	yes	characteristic
1460	#97	C₂²×D₆₇	1	1	yes	characteristic
1461	C₄×C₈	—	67	1	no	—
1462	C₄×C₈	—	67	1	no	—
1463	C₄×C₈	—	67	1	no	—
1464	C₄×C₈	—	67	1	no	—
1465	C₄×C₈	—	67	1	no	—
1466	C₄×C₈	—	67	1	no	—
1467	C₂⁴	—	67	1	no	—
1468	C₂⁴	—	67	1	no	—
1469	C₂⁴	—	67	1	no	—
1470	C₂⁴	—	67	1	no	—
1471	C₂⁴	C₂×C₄×D₆₇	1	1	yes	characteristic
1472	C₂⁴	C₂×C₄×D₆₇	1	1	yes	characteristic
1473	#41	—	268	1	no	—
1474	#41	—	268	1	no	—
1475	#41	—	268	1	no	—
1476	#41	—	268	1	no	—
1477	#41	—	268	1	no	—
1478	#41	—	268	1	no	—
1479	#41	—	268	1	no	—
1480	#41	—	268	1	no	—
1481	#41	—	268	2	no	—
1482	#41	—	268	2	no	—
1483	#41	—	268	2	no	—
1484	#41	—	268	2	no	—
1485	#41	—	268	2	no	—
1486	#41	—	268	2	no	—
1487	#41	—	268	2	no	—
1488	#41	—	268	2	no	—
1489	#41	—	134	2	no	—
1490	#41	—	134	2	no	—
1491	#41	—	134	2	no	—
1492	#41	—	134	2	no	—
1493	#41	—	134	2	no	—
1494	#41	—	134	2	no	—
1495	C₂×Q₈	—	268	2	no	—
1496	C₂×Q₈	—	268	2	no	—
1497	C₂×Q₈	—	67	1	no	—
1498	C₂×Q₈	—	67	1	no	—
1499	C₂×Q₈	—	67	1	no	—
1500	C₂×Q₈	—	67	1	no	—
1501	C₂×Q₈	—	67	1	no	—
1502	C₂×Q₈	—	67	1	no	—
1503	C₂×Q₈	—	67	1	no	—
1504	C₂×D₄	—	4	2	no	—
1505	C₂×D₄	—	268	2	no	—
1506	C₂×D₄	—	268	2	no	—
1507	C₂×D₄	—	268	2	no	—
1508	C₂×D₄	—	268	2	no	—
1509	C₂×D₄	—	268	2	no	—
1510	C₂×D₄	—	268	2	no	—
1511	C₂×D₄	—	268	2	no	—
1512	C₂×D₄	—	268	2	no	—
1513	C₂×D₄	—	67	1	no	—
1514	C₂×D₄	—	67	1	no	—
1515	C₂×D₄	—	67	1	no	—
1516	C₂×D₄	—	67	1	no	—
1517	C₂×D₄	—	67	1	no	—
1518	C₂×D₄	—	67	1	no	—
1519	C₂×D₄	—	67	1	no	—
1520	C₂×D₄	—	67	1	no	—
1521	C₂×D₄	—	67	1	no	—
1522	C₂×D₄	—	67	1	no	—
1523	C₂×D₄	—	67	1	no	—
1524	C₂×D₄	—	67	1	no	—
1525	C₂×D₄	—	67	1	no	—
1526	C₂×D₄	—	67	1	no	—
1527	C₂×D₄	—	67	1	no	—
1528	C₂×D₄	—	67	1	no	—
1529	C₂×D₄	—	67	1	no	—
1530	C₂×D₄	—	67	1	no	—
1531	C₂×D₄	—	67	1	no	—
1532	C₂×D₄	—	67	1	no	—
1533	C₂×D₄	—	67	1	no	—
1534	C₂×D₄	—	67	1	no	—
1535	C₂×D₄	—	67	1	no	—
1536	C₂×D₄	—	67	1	no	—
1537	C₂×D₄	—	67	1	no	—
1538	C₂×D₄	—	67	1	no	—
1539	C₂×D₄	—	67	1	no	—
1540	C₂×D₄	—	67	1	no	—
1541	C₂×D₄	—	67	1	no	—
1542	C₂×D₄	—	67	1	no	—
1543	C₂×D₄	—	67	1	no	—
1544	C₂×D₄	—	67	1	no	—
1545	C₂×D₄	—	67	1	no	—
1546	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1547	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1548	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1549	C₂×D₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1550	C₂²×C₄	—	4	1	no	—
1551	C₂²×C₄	—	4	1	no	—
1552	C₂²×C₄	—	4	1	no	—
1553	C₂²×C₄	—	4	1	no	—
1554	C₂²×C₄	—	268	1	no	—
1555	C₂²×C₄	—	268	1	no	—
1556	C₂²×C₄	—	268	1	no	—
1557	C₂²×C₄	—	268	1	no	—
1558	C₂²×C₄	—	67	1	no	—
1559	C₂²×C₄	—	67	1	no	—
1560	C₂²×C₄	—	67	1	no	—
1561	C₂²×C₄	—	67	1	no	—
1562	C₂²×C₄	—	67	1	no	—
1563	C₂²×C₄	—	67	1	no	—
1564	C₂²×C₄	—	67	1	no	—
1565	C₂²×C₄	—	67	1	no	—
1566	C₂²×C₄	—	67	1	no	—
1567	C₂²×C₄	—	67	1	no	—
1568	C₂²×C₄	—	67	1	no	—
1569	C₂²×C₄	—	67	1	no	—
1570	C₂²×C₄	—	67	1	no	—
1571	C₂²×C₄	—	67	1	no	—
1572	C₂²×C₄	—	67	1	no	—
1573	C₂²×C₄	—	67	1	no	—
1574	C₂²×C₄	—	67	1	no	—
1575	C₂²×C₄	—	67	1	no	—
1576	C₂²×C₄	—	67	1	no	—
1577	C₂²×C₄	—	67	1	no	—
1578	C₂²×C₄	—	67	1	no	—
1579	C₂²×C₄	—	67	1	no	—
1580	C₂²×C₄	—	134	2	no	—
1581	C₂²×C₄	—	134	2	no	—
1582	C₂²×C₄	—	134	2	no	—
1583	C₂²×C₄	—	134	2	no	—
1584	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1585	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1586	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1587	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1588	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1589	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1590	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1591	C₂²×C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1592	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1593	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1594	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1595	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1596	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
1597	M₁₆	—	4	1	no	—
1598	M₁₆	—	4	1	no	—
1599	M₁₆	—	4	1	no	—
1600	M₁₆	—	4	1	no	—
1601	M₁₆	—	268	1	no	—
1602	M₁₆	—	268	1	no	—
1603	M₁₆	—	268	1	no	—
1604	M₁₆	—	268	1	no	—
1605	M₁₆	—	268	1	no	—
1606	M₁₆	—	268	1	no	—
1607	M₁₆	—	268	1	no	—
1608	M₁₆	—	268	1	no	—
1609	M₁₆	—	268	1	no	—
1610	M₁₆	—	268	1	no	—
1611	M₁₆	—	268	1	no	—
1612	M₁₆	—	268	1	no	—
1613	M₁₆	—	134	2	no	—
1614	M₁₆	—	134	2	no	—
1615	M₁₆	—	134	2	no	—
1616	M₁₆	—	134	2	no	—
1617	C₂×C₈	—	4	1	no	—
1618	C₂×C₈	—	4	1	no	—
1619	C₂×C₈	—	4	1	no	—
1620	C₂×C₈	—	4	1	no	—
1621	C₂×C₈	—	268	1	no	—
1622	C₂×C₈	—	268	1	no	—
1623	C₂×C₈	—	268	1	no	—
1624	C₂×C₈	—	268	1	no	—
1625	C₂×C₈	—	268	1	no	—
1626	C₂×C₈	—	268	1	no	—
1627	C₂×C₈	—	268	1	no	—
1628	C₂×C₈	—	268	1	no	—
1629	C₂×C₈	—	268	1	no	—
1630	C₂×C₈	—	268	1	no	—
1631	C₂×C₈	—	268	1	no	—
1632	C₂×C₈	—	268	1	no	—
1633	C₂×C₈	—	67	1	no	—
1634	C₂×C₈	—	67	1	no	—
1635	C₂×C₈	—	67	1	no	—
1636	C₂×C₈	—	67	1	no	—
1637	C₂×C₈	—	67	1	no	—
1638	C₂×C₈	—	67	1	no	—
1639	C₂×C₈	—	67	1	no	—
1640	C₂×C₈	—	67	1	no	—
1641	C₂×C₈	—	134	2	no	—
1642	C₂×C₈	—	134	2	no	—
1643	C₂×C₈	—	134	2	no	—
1644	C₂×C₈	—	134	2	no	—
1645	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1646	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1647	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1648	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1649	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1650	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1651	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1652	C₂×C₈	C₂³×D₆₇	1	1	yes	characteristic
1653	C₄⋊C₄	—	67	1	no	—
1654	C₄⋊C₄	—	67	1	no	—
1655	C₄⋊C₄	—	67	1	no	—
1656	C₄⋊C₄	—	67	1	no	—
1657	C₄⋊C₄	—	67	1	no	—
1658	C₄⋊C₄	—	67	1	no	—
1659	C₄⋊C₄	—	67	1	no	—
1660	C₄⋊C₄	—	67	1	no	—
1661	C₄⋊C₄	—	67	1	no	—
1662	C₄⋊C₄	—	67	1	no	—
1663	C₄⋊C₄	—	67	1	no	—
1664	C₄⋊C₄	—	67	1	no	—
1665	C₄⋊C₄	—	67	1	no	—
1666	C₄⋊C₄	—	67	1	no	—
1667	C₄⋊C₄	—	67	1	no	—
1668	C₄⋊C₄	—	67	1	no	—
1669	C₄⋊C₄	—	67	1	no	—
1670	C₄⋊C₄	—	67	1	no	—
1671	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1672	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1673	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1674	C₄⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1675	C₂²⋊C₄	—	67	1	no	—
1676	C₂²⋊C₄	—	67	1	no	—
1677	C₂²⋊C₄	—	67	1	no	—
1678	C₂²⋊C₄	—	67	1	no	—
1679	C₂²⋊C₄	—	67	1	no	—
1680	C₂²⋊C₄	—	67	1	no	—
1681	C₂²⋊C₄	—	67	1	no	—
1682	C₂²⋊C₄	—	67	1	no	—
1683	C₂²⋊C₄	—	67	1	no	—
1684	C₂²⋊C₄	—	67	1	no	—
1685	C₂²⋊C₄	—	67	1	no	—
1686	C₂²⋊C₄	—	67	1	no	—
1687	C₂²⋊C₄	—	67	1	no	—
1688	C₂²⋊C₄	—	67	1	no	—
1689	C₂²⋊C₄	—	67	1	no	—
1690	C₂²⋊C₄	—	67	1	no	—
1691	C₂²⋊C₄	—	67	1	no	—
1692	C₂²⋊C₄	—	67	1	no	—
1693	C₂²⋊C₄	—	67	1	no	—
1694	C₂²⋊C₄	—	67	1	no	—
1695	C₂²⋊C₄	—	67	1	no	—
1696	C₂²⋊C₄	—	67	1	no	—
1697	C₂²⋊C₄	—	67	1	no	—
1698	C₂²⋊C₄	—	67	1	no	—
1699	C₂²⋊C₄	—	67	1	no	—
1700	C₂²⋊C₄	—	67	1	no	—
1701	C₂²⋊C₄	—	67	1	no	—
1702	C₂²⋊C₄	—	67	1	no	—
1703	C₂²⋊C₄	—	67	1	no	—
1704	C₂²⋊C₄	—	67	1	no	—
1705	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1706	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1707	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1708	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1709	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1710	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1711	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1712	C₂²⋊C₄	C₂×C₄×D₆₇	1	1	yes	characteristic
1713	C₄²	—	67	1	no	—
1714	C₄²	—	67	1	no	—
1715	C₄²	—	67	1	no	—
1716	C₄²	—	67	1	no	—
1717	C₄²	—	67	1	no	—
1718	C₄²	—	67	1	no	—
1719	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1720	C₄²	C₂×C₄×D₆₇	1	1	yes	characteristic
1721	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1722	C₄²	C₂³×D₆₇	1	1	yes	characteristic
1723	C₂³	—	2	2	no	—
1724	C₂³	—	4	1	no	—
1725	C₂³	—	4	1	no	—
1726	C₂³	—	4	1	no	—
1727	C₂³	—	4	1	no	—
1728	C₂³	—	4	1	no	—
1729	C₂³	—	268	1	no	—
1730	C₂³	—	268	1	no	—
1731	C₂³	—	268	1	no	—
1732	C₂³	—	268	1	no	—
1733	C₂³	—	268	1	no	—
1734	C₂³	—	268	1	no	—
1735	C₂³	—	268	1	no	—
1736	C₂³	—	268	1	no	—
1737	C₂³	—	67	1	no	—
1738	C₂³	—	67	1	no	—
1739	C₂³	—	67	1	no	—
1740	C₂³	—	67	1	no	—
1741	C₂³	—	67	1	no	—
1742	C₂³	—	67	1	no	—
1743	C₂³	—	134	2	no	—
1744	C₂³	—	134	2	no	—
1745	C₂³	—	134	2	no	—
1746	C₂³	—	134	2	no	—
1747	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1748	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1749	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1750	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1751	C₂³	C₂²×C₄×D₆₇	1	1	yes	characteristic
1752	Q₈	—	268	1	no	—
1753	Q₈	—	268	1	no	—
1754	Q₈	—	268	1	no	—
1755	Q₈	—	268	1	no	—
1756	Q₈	—	134	2	no	—
1757	Q₈	—	134	2	no	—
1758	Q₈	—	134	2	no	—
1759	D₄	—	2	2	no	—
1760	D₄	—	2	2	no	—
1761	D₄	—	4	1	no	—
1762	D₄	—	4	1	no	—
1763	D₄	—	268	1	no	—
1764	D₄	—	268	1	no	—
1765	D₄	—	268	1	no	—
1766	D₄	—	268	1	no	—
1767	D₄	—	268	1	no	—
1768	D₄	—	268	1	no	—
1769	D₄	—	268	1	no	—
1770	D₄	—	268	1	no	—
1771	D₄	—	268	1	no	—
1772	D₄	—	268	1	no	—
1773	D₄	—	268	1	no	—
1774	D₄	—	268	1	no	—
1775	D₄	—	268	1	no	—
1776	D₄	—	268	1	no	—
1777	D₄	—	268	1	no	—
1778	D₄	—	268	1	no	—
1779	D₄	—	268	1	no	—
1780	D₄	—	268	1	no	—
1781	D₄	—	268	1	no	—
1782	D₄	—	268	1	no	—
1783	D₄	—	268	1	no	—
1784	D₄	—	268	1	no	—
1785	D₄	—	134	2	no	—
1786	D₄	—	134	2	no	—
1787	D₄	—	134	2	no	—
1788	D₄	—	134	2	no	—
1789	D₄	—	134	2	no	—
1790	D₄	—	134	2	no	—
1791	D₄	—	134	2	no	—
1792	D₄	—	134	2	no	—
1793	D₄	—	134	2	no	—
1794	D₄	—	134	2	no	—
1795	D₄	—	134	2	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	4	1	no	—
1807	C₂×C₄	—	4	1	no	—
1808	C₂×C₄	—	4	1	no	—
1809	C₂×C₄	—	4	1	no	—
1810	C₂×C₄	—	4	1	no	—
1811	C₂×C₄	—	4	1	no	—
1812	C₂×C₄	—	4	1	no	—
1813	C₂×C₄	—	4	1	no	—
1814	C₂×C₄	—	268	1	no	—
1815	C₂×C₄	—	268	1	no	—
1816	C₂×C₄	—	268	1	no	—
1817	C₂×C₄	—	268	1	no	—
1818	C₂×C₄	—	268	1	no	—
1819	C₂×C₄	—	268	1	no	—
1820	C₂×C₄	—	268	1	no	—
1821	C₂×C₄	—	268	1	no	—
1822	C₂×C₄	—	268	1	no	—
1823	C₂×C₄	—	268	1	no	—
1824	C₂×C₄	—	67	1	no	—
1825	C₂×C₄	—	67	2	no	—
1826	C₂×C₄	—	67	2	no	—
1827	C₂×C₄	—	67	1	no	—
1828	C₂×C₄	—	67	1	no	—
1829	C₂×C₄	—	67	1	no	—
1830	C₂×C₄	—	67	1	no	—
1831	C₂×C₄	—	67	1	no	—
1832	C₂×C₄	—	67	1	no	—
1833	C₂×C₄	—	67	1	no	—
1834	C₂×C₄	—	67	1	no	—
1835	C₂×C₄	—	67	1	no	—
1836	C₂×C₄	—	134	2	no	—
1837	C₂×C₄	—	134	2	no	—
1838	C₂×C₄	—	134	2	no	—
1839	C₂×C₄	—	134	2	no	—
1840	C₂×C₄	—	134	2	no	—
1841	C₂×C₄	—	134	2	no	—
1842	C₂×C₄	—	134	1	no	—
1843	C₂×C₄	—	134	1	no	—
1844	C₂×C₄	—	134	1	no	—
1845	C₂×C₄	—	134	1	no	—
1846	C₂×C₄	—	134	1	no	—
1847	C₂×C₄	—	134	1	no	—
1848	C₂×C₄	—	134	1	no	—
1849	C₂×C₄	—	134	1	no	—
1850	C₂×C₄	—	134	1	no	—
1851	C₂×C₄	—	134	1	no	—
1852	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1853	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1854	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1855	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1856	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1857	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1858	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1859	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1860	C₂×C₄	C₂²×C₄×D₆₇	1	1	yes	characteristic
1861	C₂×C₄	C₂⁴×D₆₇	1	1	yes	characteristic
1862	C₈	—	2	1	no	—
1863	C₈	—	2	1	no	—
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	2	1	no	—
1869	C₈	—	2	1	no	—
1870	C₈	—	134	1	no	—
1871	C₈	—	134	1	no	—
1872	C₈	—	134	1	no	—
1873	C₈	—	134	1	no	—
1874	C₈	—	134	1	no	—
1875	C₈	—	134	1	no	—
1876	C₈	—	134	1	no	—
1877	C₈	—	134	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	1	no	—
1884	C₂²	—	2	1	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	2	1	no	—
1888	C₂²	—	2	1	no	—
1889	C₂²	—	2	1	no	—
1890	C₂²	—	2	1	no	—
1891	C₂²	—	2	1	no	—
1892	C₂²	—	8	2	no	—
1893	C₂²	—	8	2	no	—
1894	C₂²	—	268	4	no	—
1895	C₂²	—	536	2	no	—
1896	C₂²	—	536	2	no	—
1897	C₂²	—	536	2	no	—
1898	C₂²	—	67	2	no	—
1899	C₂²	—	134	1	no	—
1900	C₂²	—	134	1	no	—
1901	C₂²	—	134	1	no	—
1902	C₂²	—	134	1	no	—
1903	C₂²	—	134	1	no	—
1904	C₂²	—	134	1	no	—
1905	C₂²	—	134	1	no	—
1906	C₂²	—	134	1	no	—
1907	C₂²	—	134	1	no	—
1908	C₂²	—	134	1	no	—
1909	C₂²	—	134	1	no	—
1910	C₂²	—	134	1	no	—
1911	C₂²	—	134	1	no	—
1912	C₂²	—	134	1	no	—
1913	C₂²	—	134	1	no	—
1914	C₂²	—	134	1	no	—
1915	C₂²	—	134	1	no	—
1916	C₂²	#16864162	1	2	yes	—
1917	C₂²	C₂³×C₄×D₆₇	1	1	yes	characteristic
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	2	1	no	—
1927	C₄	—	67	2	no	—
1928	C₄	—	134	1	no	—
1929	C₄	—	134	1	no	—
1930	C₄	—	134	1	no	—
1931	C₄	—	134	1	no	—
1932	C₄	—	134	1	no	—
1933	C₄	—	134	1	no	—
1934	C₄	—	134	1	no	—
1935	C₄	—	134	1	no	—
1936	C₄	—	134	1	no	—
1937	C₄	H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1938	C₄	H(5,𝔽₂)×D₆₇	1	1	yes	characteristic
1939	C₂	—	2	2	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	1	no	—
1942	C₂	—	4	1	no	—
1943	C₂	—	4	1	no	—
1944	C₂	—	268	1	no	—
1945	C₂	—	268	1	no	—
1946	C₂	—	268	1	no	—
1947	C₂	—	268	1	no	—
1948	C₂	—	268	1	no	—
1949	C₂	—	134	2	no	—
1950	C₂	#518×D₆₇	1	1	yes	characteristic
1951	C₂	C₂×#16864162	1	1	yes	characteristic
1952	C₂	#22574922	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₆₇
commutator, socle	C₂²×C₆₇	C₂⁴×C₄
Fitting	C₆₇×#2973	C₂
prime radical	D₄×#11761628	C₂
cosocle	C₂×C₄×C₆₇	C₂⁵
hypercenter	#2973	D₆₇
hypocenter	C₆₇	#60240
LCS	G ▷ C₂²×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ #2973

Complements

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

N	H ≅ G/N	type
2. #22569287	C₂	semidirect
3. #22569281	C₂	semidirect
4. #22569279	C₂	semidirect
5. #22569277	C₂	semidirect
6. #22569269	C₂	semidirect
7. #22569268	C₂	semidirect
8. #22569263	C₂	semidirect
9. #22569260	C₂	semidirect
10. #22569259	C₂	semidirect
11. #22569258	C₂	semidirect
12. #22569256	C₂	semidirect
13. #22569254	C₂	semidirect
14. #22569244	C₂	semidirect
15. #22569239	C₂	semidirect
16. #22569234	C₂	semidirect
17. #22568950	C₂	semidirect
18. #22568942	C₂	semidirect
19. #22568935	C₂	semidirect
20. #22568932	C₂	semidirect
21. #22568923	C₂	semidirect
22. #22568907	C₂	semidirect
23. #22568900	C₂	semidirect
24. #435×D₆₇	C₂	semidirect
25. #22568876	C₂	semidirect
26. #22568855	C₂	semidirect
27. #22568659	C₂	semidirect
28. #22568655	C₂	semidirect
29. #22568652	C₂	semidirect
30. C₂×#16863361	C₂	semidirect
31. C₆₇×#2973	C₂	semidirect
34. C₂×#14524051	C₂²	semidirect
35. C₂×#14524051	C₂²	semidirect
36. C₂×#14524049	C₂²	semidirect
37. C₂×#14524049	C₂²	semidirect
38. C₂²×#11761611	C₂²	semidirect
39. C₂×M₁₆×D₆₇	C₂²	semidirect
40. C₂×M₁₆×D₆₇	C₂²	semidirect
41. C₂²×C₈×D₆₇	C₂²	semidirect
70. #16863474	C₂²	semidirect
71. #16863474	C₂²	semidirect
72. #16863473	C₂²	semidirect
73. #16863473	C₂²	semidirect
74. #16863472	C₂²	semidirect
75. #16863472	C₂²	semidirect
76. #16863472	C₂²	semidirect
77. #16863472	C₂²	semidirect
78. #16863471	C₂²	semidirect
79. #16863471	C₂²	semidirect
80. #16863471	C₂²	semidirect
81. #16863471	C₂²	semidirect
82. #16863470	C₂²	semidirect
83. #16863470	C₂²	semidirect
84. #16863470	C₂²	semidirect
85. #16863470	C₂²	semidirect
86. #16863469	C₂²	semidirect
87. #16863469	C₂²	semidirect
88. #16863469	C₂²	semidirect
89. #16863469	C₂²	semidirect
90. #16863469	C₂²	semidirect
91. #16863469	C₂²	semidirect
92. #16863469	C₂²	semidirect
93. #16863469	C₂²	semidirect
96. #16863468	C₂²	semidirect
97. #16863468	C₂²	semidirect
98. #16863467	C₂²	semidirect
99. #16863467	C₂²	semidirect
100. #16863467	C₂²	semidirect
101. #16863467	C₂²	semidirect
102. #16863466	C₂²	semidirect
103. #16863466	C₂²	semidirect
104. #16863466	C₂²	semidirect
105. #16863466	C₂²	semidirect
106. #16863465	C₂²	semidirect
107. #16863465	C₂²	semidirect
108. #16863465	C₂²	semidirect
109. #16863465	C₂²	semidirect
110. #16863464	C₂²	semidirect
111. #16863464	C₂²	semidirect
112. #16863464	C₂²	semidirect
113. #16863464	C₂²	semidirect
114. D₄×C₆₇⋊C₈	C₂²	semidirect
115. D₄×C₆₇⋊C₈	C₂²	semidirect
116. #16863461	C₂²	semidirect
117. #16863461	C₂²	semidirect
118. C₈×C₂²⋊D₆₇	C₂²	semidirect
119. C₈×C₂²⋊D₆₇	C₂²	semidirect
120. C₈×C₂²⋊D₆₇	C₂²	semidirect
121. C₈×C₂²⋊D₆₇	C₂²	semidirect
122. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
123. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
124. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
125. (C₂²⋊D₆₇)⋊C₈	C₂²	semidirect
126. #16863458	C₂²	semidirect
127. #16863458	C₂²	semidirect
128. #16863456	C₂²	semidirect
129. #16863456	C₂²	semidirect
130. #16863454	C₂²	semidirect
131. #16863454	C₂²	semidirect
132. #16863454	C₂²	semidirect
133. #16863454	C₂²	semidirect
134. #16863453	C₂²	semidirect
135. #16863452	C₂²	semidirect
136. #16863451	C₂²	semidirect
137. #16863451	C₂²	semidirect
138. #16863449	C₂²	semidirect
139. #16863448	C₂²	semidirect
140. #16863421	C₂²	semidirect
141. #16863421	C₂²	semidirect
142. #16863418	C₂²	semidirect
143. C₄⋊C₈×D₆₇	C₂²	semidirect
144. #16863364	C₂²	semidirect
145. #16863364	C₂²	semidirect
146. #16863362	C₂²	semidirect
147. #16863362	C₂²	semidirect
152. #16863361	C₂²	semidirect
153. #16863361	C₂²	semidirect
154. #16863361	C₂²	semidirect
155. #16863361	C₂²	semidirect
156. #16863361	C₂²	semidirect
157. #16863361	C₂²	semidirect
158. #16863361	C₂²	semidirect
159. #16863361	C₂²	semidirect
160. #16863361	C₂²	semidirect
161. #16863361	C₂²	semidirect
162. #16863361	C₂²	semidirect
163. #16863361	C₂²	semidirect
164. #16863361	C₂²	semidirect
165. #16863361	C₂²	semidirect
166. #16863361	C₂²	semidirect
167. #16863361	C₂²	semidirect
168. #16863360	C₂²	semidirect
169. #16863360	C₂²	semidirect
170. #16863359	C₂²	semidirect
171. #16863359	C₂²	semidirect
172. #16863358	C₂²	semidirect
173. #16863358	C₂²	semidirect
174. #16863358	C₂²	semidirect
175. #16863358	C₂²	semidirect
176. C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	semidirect
177. C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	semidirect
178. C₂×(C₂×D₆₇)⋊C₈	C₂²	semidirect
179. C₂×(C₂×D₆₇)⋊C₈	C₂²	semidirect
180. C₂²⋊C₈×D₆₇	C₂²	semidirect
181. C₂²⋊C₈×D₆₇	C₂²	semidirect
182. C₂²⋊C₈×D₆₇	C₂²	semidirect
183. C₂²⋊C₈×D₆₇	C₂²	semidirect
184. #16863353	C₂²	semidirect
185. #16863353	C₂²	semidirect
186. #16863348	C₂²	semidirect
187. #97×D₆₇	C₂²	semidirect
191. #435×C₆₇	C₂²	semidirect
192. #435×C₆₇	C₂²	semidirect
193. #435×C₆₇	C₂²	semidirect
194. #435×C₆₇	C₂²	semidirect
195. #435×C₆₇	C₂²	semidirect
196. #435×C₆₇	C₂²	semidirect
197. #432×C₆₇	C₂²	semidirect
198. #432×C₆₇	C₂²	semidirect
199. #407×C₆₇	C₂²	semidirect
200. #407×C₆₇	C₂²	semidirect
201. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
202. C₂×C₂²⋊C₈×C₆₇	C₂²	semidirect
993. #2973	D₆₇	semidirect
1008. C₆₇	#60240	semidirect
1094. #435	C₂×D₆₇	semidirect
1095. #435	C₂×D₆₇	semidirect
1096. #435	C₂×D₆₇	semidirect
1097. #435	C₂×D₆₇	semidirect
1098. #435	C₂×D₆₇	semidirect
1099. #435	C₂×D₆₇	semidirect
1124. #432	C₂×D₆₇	semidirect
1125. #432	C₂×D₆₇	semidirect
1164. #407	C₂×D₆₇	semidirect
1165. #407	C₂×D₆₇	semidirect
1174. C₂×C₂²⋊C₈	C₂×D₆₇	semidirect
1175. C₂×C₂²⋊C₈	C₂×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
D₄×#11761628	2
#22569287	2
#22569281	2
#22569279	2
#22569277	2
#22569269	2
#22569268	2
#22569263	2
#22569260	2
#22569259	2
#22569258	2
#22569256	2
#22569254	2
#22569244	2
#22569239	2
#22569234	2
#22568950	2
#22568942	2
#22568935	2
#22568932	2
#22568923	2
#22568907	2
#22568900	2
#435×D₆₇	2
#22568876	2
#22568855	2
#22568659	2
#22568655	2
#22568652	2
C₂×#16863361	2
C₆₇×#2973	2
#60240	67