Subgroups — #14219749

Order 1792.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11742853	C₂	1	1	yes	maximal, characteristic
2	C₇×D₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	M₁₆×C₂²⋊D₇	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741202	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741201	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#89900	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739747	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736990	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736982	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736970	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736965	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736937	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736930	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736929	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736928	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736913	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736907	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736901	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736898	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736873	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736868	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736854	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736845	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736499	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736495	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736081	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736080	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736079	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736078	C₂	1	1	yes	maximal, characteristic, complemented
30	#11735957	C₂	1	1	yes	maximal, characteristic, complemented
31	#11735955	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₄×C₇×D₄	C₂²	1	1	yes	characteristic
35	#90497	C₄	1	1	yes	characteristic
36	D₄×C₂²⋊D₇	C₄	1	1	yes	characteristic
37	#90482	C₂²	1	1	yes	characteristic
38	#90482	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
41	C₂×#6470	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
43	C₂×#6464	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#1131	C₂²	1	1	yes	characteristic, complemented
45	#90250	C₄	1	1	yes	characteristic
46	#90249	C₄	1	1	yes	characteristic
47	#90248	C₂²	1	1	yes	characteristic
48	#90247	C₄	1	1	yes	characteristic
49	#90247	C₄	1	1	yes	characteristic
50	#90245	C₄	1	1	yes	characteristic
51	#90239	C₂²	1	1	yes	characteristic
52	#90238	C₂²	1	1	yes	characteristic
53	#90238	C₂²	1	1	yes	characteristic
54	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
55	#90231	C₄	1	1	yes	characteristic
56	#90231	C₄	1	1	yes	characteristic
57	#90230	C₄	1	1	yes	characteristic
58	#90229	C₂²	1	1	yes	characteristic
59	#90229	C₂²	1	1	yes	characteristic
60	C₄×#1159	C₂²	1	1	yes	characteristic
61	#90205	C₄	1	1	yes	characteristic
62	#90202	C₄	1	1	yes	characteristic
63	#90186	C₄	1	1	yes	characteristic
64	#90186	C₄	1	1	yes	characteristic
65	#90181	C₄	1	1	yes	characteristic
66	#90181	C₄	1	1	yes	characteristic
67	#90170	C₂²	1	1	yes	characteristic
68	C₄×#1157	C₂²	1	1	yes	characteristic
69	C₇×#436	C₂²	1	1	yes	characteristic, complemented
70	C₇×#436	C₂²	1	1	yes	characteristic, complemented
71	C₇×#435	C₂²	1	1	yes	characteristic
72	C₇×#435	C₂²	1	1	yes	characteristic
73	C₇×#435	C₂²	1	1	yes	characteristic, complemented
74	C₇×#435	C₂²	1	1	yes	characteristic, complemented
75	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
76	C₇×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
77	C₇×#423	C₂²	1	1	yes	characteristic, complemented
78	C₇×#407	C₂²	1	1	yes	characteristic, complemented
79	C₇×#407	C₂²	1	1	yes	characteristic, complemented
80	C₄×C₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
81	#89979	C₂²	1	1	yes	characteristic, complemented
82	#89979	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₂²⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₂²⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic, complemented
85	#89901	C₂²	1	1	yes	characteristic, complemented
86	#89900	C₂²	1	1	yes	characteristic
87	#89900	C₂²	1	1	yes	characteristic
88	#89900	C₂²	1	1	yes	characteristic
89	#89900	C₂²	1	1	yes	characteristic
90	#89900	C₂²	1	1	yes	characteristic, complemented
91	#89900	C₂²	1	1	yes	characteristic, complemented
92	#89900	C₂²	1	1	yes	characteristic, complemented
93	#89900	C₂²	1	1	yes	characteristic, complemented
94	#89900	C₂²	1	1	yes	characteristic, complemented
95	#89900	C₂²	1	1	yes	characteristic, complemented
96	#89900	C₂²	1	1	yes	characteristic, complemented
97	#89900	C₂²	1	1	yes	characteristic, complemented
98	#89900	C₂²	1	1	yes	characteristic, complemented
99	#89900	C₂²	1	1	yes	characteristic, complemented
100	#89900	C₂²	1	1	yes	characteristic, complemented
101	#89900	C₂²	1	1	yes	characteristic, complemented
102	#89899	C₂²	1	1	yes	characteristic, complemented
103	#89899	C₂²	1	1	yes	characteristic, complemented
104	#89899	C₂²	1	1	yes	characteristic, complemented
105	#89899	C₂²	1	1	yes	characteristic, complemented
106	#89899	C₂²	1	1	yes	characteristic, complemented
107	#89899	C₂²	1	1	yes	characteristic, complemented
108	#89899	C₂²	1	1	yes	characteristic, complemented
109	#89899	C₂²	1	1	yes	characteristic, complemented
110	#89898	C₂²	1	1	yes	characteristic, complemented
111	#89894	C₂²	1	1	yes	characteristic, complemented
112	#89891	C₂²	1	1	yes	characteristic, complemented
113	#89890	C₂²	1	1	yes	characteristic, complemented
114	M₁₆×Dic₇	C₂²	1	1	yes	characteristic, complemented
115	#89883	C₂²	1	1	yes	characteristic, complemented
116	#89883	C₂²	1	1	yes	characteristic, complemented
117	#89883	C₂²	1	1	yes	characteristic, complemented
118	#89883	C₂²	1	1	yes	characteristic, complemented
119	#89882	C₂²	1	1	yes	characteristic, complemented
120	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
121	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
122	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
123	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
124	C₂×(C₂×D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
125	#89874	C₂²	1	1	yes	characteristic, complemented
126	#89873	C₂²	1	1	yes	characteristic, complemented
127	C₂×Dic₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₈×Dic₇	C₂²	1	1	yes	characteristic, complemented
129	#89783	C₂²	1	1	yes	characteristic
130	#89783	C₂²	1	1	yes	characteristic
131	#89783	C₂²	1	1	yes	characteristic, complemented
132	#89783	C₂²	1	1	yes	characteristic, complemented
133	#89783	C₂²	1	1	yes	characteristic, complemented
134	#89783	C₂²	1	1	yes	characteristic, complemented
135	#89783	C₂²	1	1	yes	characteristic, complemented
136	#89783	C₂²	1	1	yes	characteristic, complemented
137	#89698	C₂²	1	1	yes	characteristic, complemented
138	#89698	C₂²	1	1	yes	characteristic, complemented
139	#89612	C₂²	1	1	yes	characteristic, complemented
140	#89612	C₂²	1	1	yes	characteristic, complemented
141	#89611	C₂²	1	1	yes	characteristic, complemented
142	#89611	C₂²	1	1	yes	characteristic, complemented
143	#89609	C₂²	1	1	yes	characteristic, complemented
144	#89608	C₂²	1	1	yes	characteristic, complemented
145	#89608	C₂²	1	1	yes	characteristic, complemented
146	#89608	C₂²	1	1	yes	characteristic, complemented
147	#89608	C₂²	1	1	yes	characteristic, complemented
148	#89607	C₂²	1	1	yes	characteristic, complemented
149	#89605	C₂²	1	1	yes	characteristic, complemented
150	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#89600	C₂²	1	1	yes	characteristic, complemented
152	#89600	C₂²	1	1	yes	characteristic, complemented
153	#89600	C₂²	1	1	yes	characteristic, complemented
154	#89600	C₂²	1	1	yes	characteristic, complemented
155	#89502	C₂²	1	1	yes	characteristic, complemented
156	#89502	C₂²	1	1	yes	characteristic, complemented
157	#89502	C₂²	1	1	yes	characteristic, complemented
158	#89502	C₂²	1	1	yes	characteristic, complemented
159	#89501	C₂²	1	1	yes	characteristic, complemented
160	#89501	C₂²	1	1	yes	characteristic, complemented
161	#89501	C₂²	1	1	yes	characteristic, complemented
162	#89501	C₂²	1	1	yes	characteristic, complemented
163	#89501	C₂²	1	1	yes	characteristic, complemented
164	#89501	C₂²	1	1	yes	characteristic, complemented
165	#89500	C₂²	1	1	yes	characteristic, complemented
166	#89500	C₂²	1	1	yes	characteristic, complemented
167	#89499	C₂²	1	1	yes	characteristic, complemented
168	#89499	C₂²	1	1	yes	characteristic, complemented
169	#89499	C₂²	1	1	yes	characteristic, complemented
170	#89499	C₂²	1	1	yes	characteristic, complemented
171	#89498	C₂²	1	1	yes	characteristic, complemented
172	#89498	C₂²	1	1	yes	characteristic, complemented
173	#89498	C₂²	1	1	yes	characteristic, complemented
174	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
175	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
176	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	#89492	C₂²	1	1	yes	characteristic, complemented
180	#89492	C₂²	1	1	yes	characteristic, complemented
181	#89492	C₂²	1	1	yes	characteristic, complemented
182	#89492	C₂²	1	1	yes	characteristic, complemented
183	#89491	C₂²	1	1	yes	characteristic, complemented
184	#89490	C₂²	1	1	yes	characteristic, complemented
185	#89490	C₂²	1	1	yes	characteristic, complemented
186	#89490	C₂²	1	1	yes	characteristic, complemented
187	#89479	C₂²	1	1	yes	characteristic, complemented
188	#89479	C₂²	1	1	yes	characteristic, complemented
189	#89478	C₂²	1	1	yes	characteristic, complemented
190	#89478	C₂²	1	1	yes	characteristic, complemented
191	#89477	C₂²	1	1	yes	characteristic, complemented
192	#89477	C₂²	1	1	yes	characteristic, complemented
193	#89473	C₂²	1	1	yes	characteristic, complemented
194	#89473	C₂²	1	1	yes	characteristic, complemented
195	#89462	C₂²	1	1	yes	characteristic, complemented
196	#89462	C₂²	1	1	yes	characteristic, complemented
197	#89461	C₂²	1	1	yes	characteristic, complemented
198	#89461	C₂²	1	1	yes	characteristic, complemented
199	#89460	C₂²	1	1	yes	characteristic, complemented
200	#89460	C₂²	1	1	yes	characteristic, complemented
201	C₈×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
203	#60324	—	7	1	no	maximal, Sylow
204	C₂²×C₇×D₄	C₂×C₄	1	1	yes	characteristic
205	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
208	C₂²×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
209	C₂×#1159	C₂×C₄	1	1	yes	characteristic
210	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
211	C₂×#1157	C₂×C₄	1	1	yes	characteristic
212	C₂×#1157	C₂³	1	1	yes	characteristic
213	C₂×#1157	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
216	C₂×C₇×M₁₆	—	4	2	no	—
217	C₂×C₇×M₁₆	—	4	2	no	—
218	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
226	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
227	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
229	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
230	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
231	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
232	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
233	C₄×C₇×D₄	C₂×C₄	1	1	yes	characteristic
234	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
239	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
240	C₂×C₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
241	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
242	#6516	C₂×C₄	1	1	yes	characteristic
243	#6516	C₂×C₄	1	1	yes	characteristic
244	#6516	C₂×C₄	1	1	yes	characteristic
245	#6516	C₂×C₄	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₇	C₂×C₄	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₇	C₂×C₄	1	1	yes	characteristic
248	#6503	C₂×C₄	1	1	yes	characteristic
249	#6502	C₂×C₄	1	1	yes	characteristic
250	#6502	C₂×C₄	1	1	yes	characteristic
251	#6502	C₂×C₄	1	1	yes	characteristic
252	#6502	C₂×C₄	1	1	yes	characteristic
253	#6501	C₂×C₄	1	1	yes	characteristic
254	#6501	C₂×C₄	1	1	yes	characteristic
255	#6500	C₂×C₄	1	1	yes	characteristic
256	#6500	C₂×C₄	1	1	yes	characteristic
257	#6499	C₂×C₄	1	1	yes	characteristic
258	#6498	C₂×C₄	1	1	yes	characteristic
259	#6498	C₂×C₄	1	1	yes	characteristic
260	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
261	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
262	#6493	C₂×C₄	1	1	yes	characteristic
263	#6493	C₂×C₄	1	1	yes	characteristic
264	#6493	C₂×C₄	1	1	yes	characteristic
265	#6493	C₂×C₄	1	1	yes	characteristic
266	#6493	C₂×C₄	1	1	yes	characteristic
267	#6492	C₂×C₄	1	1	yes	characteristic
268	#6492	C₂×C₄	1	1	yes	characteristic
269	#6492	C₂×C₄	1	1	yes	characteristic
270	#6492	C₂×C₄	1	1	yes	characteristic
271	#6492	C₂×C₄	1	1	yes	characteristic
272	#6492	C₂×C₄	1	1	yes	characteristic
273	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
274	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
275	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
276	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
277	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
278	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
279	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
280	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
281	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
282	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
283	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
284	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
285	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
286	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
287	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
288	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
289	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
290	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
291	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
292	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
293	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
294	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
296	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
297	#6489	C₂×C₄	1	1	yes	characteristic
298	#6489	C₂³	1	1	yes	characteristic
299	#6489	C₂³	1	1	yes	characteristic
300	#6487	C₂×C₄	1	1	yes	characteristic
301	#6487	C₂×C₄	1	1	yes	characteristic
302	#6487	C₂×C₄	1	1	yes	characteristic
303	#6487	C₂×C₄	1	1	yes	characteristic
304	#6487	C₂×C₄	1	1	yes	characteristic
305	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
306	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
307	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
309	C₂×#1136	C₂³	1	1	yes	characteristic
310	C₂×#1136	C₂³	1	1	yes	characteristic
311	C₂×#1136	C₂³	1	1	yes	characteristic
312	C₂×#1136	C₂³	1	1	yes	characteristic
313	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
314	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
315	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
316	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
317	#6470	—	4	2	no	—
318	D₇×M₁₆	—	4	2	no	—
319	#6464	—	4	2	no	—
320	C₂×#1131	—	4	2	no	—
321	C₂×#1131	C₂³	1	1	yes	characteristic
322	C₂×#1131	C₂³	1	1	yes	characteristic
323	C₂×#1131	C₂³	1	1	yes	characteristic
324	C₂×#1131	C₂³	1	1	yes	characteristic
325	C₂×#1131	C₂³	1	1	yes	characteristic
326	C₂×#1131	C₂³	1	1	yes	characteristic
327	C₂×#1131	C₂³	1	1	yes	characteristic
328	C₂×#1131	C₂³	1	1	yes	characteristic
329	C₂×#1131	C₂³	1	1	yes	characteristic
330	C₂×#1131	C₂³	1	1	yes	characteristic
331	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
332	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
337	#6461	C₂×C₄	1	1	yes	characteristic
338	#6461	C₂×C₄	1	1	yes	characteristic
339	#6460	C₂×C₄	1	1	yes	characteristic
340	#6459	C₂×C₄	1	1	yes	characteristic
341	#6459	C₂×C₄	1	1	yes	characteristic
342	#6458	C₂×C₄	1	1	yes	characteristic
343	#6457	C₂×C₄	1	1	yes	characteristic
344	#6457	C₂×C₄	1	1	yes	characteristic
345	#6456	C₂×C₄	1	1	yes	characteristic
346	#6455	C₂×C₄	1	1	yes	characteristic
347	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
348	#6453	C₂×C₄	1	1	yes	characteristic
349	#6452	C₂×C₄	1	1	yes	characteristic
350	#6452	C₂×C₄	1	1	yes	characteristic
351	#6451	C₂×C₄	1	1	yes	characteristic
352	#6450	C₂×C₄	1	1	yes	characteristic
353	#6449	C₂×C₄	1	1	yes	characteristic
354	#6449	C₂×C₄	1	1	yes	characteristic
355	#6448	C₂×C₄	1	1	yes	characteristic
356	#6448	C₂×C₄	1	1	yes	characteristic
357	#6448	C₂×C₄	1	1	yes	characteristic
358	#6448	C₂×C₄	1	1	yes	characteristic
359	#6447	C₂×C₄	1	1	yes	characteristic
360	#6447	C₂×C₄	1	1	yes	characteristic
361	#6447	C₂×C₄	1	1	yes	characteristic
362	#6447	C₂×C₄	1	1	yes	characteristic
363	#6446	C₂×C₄	1	1	yes	characteristic
364	#6446	C₂×C₄	1	1	yes	characteristic
365	#6446	C₂×C₄	1	1	yes	characteristic
366	#6446	C₂×C₄	1	1	yes	characteristic
367	#6445	C₂×C₄	1	1	yes	characteristic
368	#6445	C₂×C₄	1	1	yes	characteristic
369	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
370	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
371	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
372	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
373	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
374	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
375	#6442	C₂×C₄	1	1	yes	characteristic
376	#6442	C₂×C₄	1	1	yes	characteristic
377	#6442	C₂×C₄	1	1	yes	characteristic
378	#6442	C₂×C₄	1	1	yes	characteristic
379	#6441	C₂×C₄	1	1	yes	characteristic
380	#6441	C₂×C₄	1	1	yes	characteristic
381	#6441	C₂×C₄	1	1	yes	characteristic
382	#6441	C₂×C₄	1	1	yes	characteristic
383	#6440	C₂×C₄	1	1	yes	characteristic
384	#6440	C₂×C₄	1	1	yes	characteristic
385	#6439	C₂×C₄	1	1	yes	characteristic
386	#6439	C₂×C₄	1	1	yes	characteristic
387	#6438	C₂×C₄	1	1	yes	characteristic
388	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
389	C₄×D₂₈	C₂³	1	1	yes	characteristic
390	C₄×D₂₈	C₂³	1	1	yes	characteristic
391	#6435	C₂×C₄	1	1	yes	characteristic
392	#6435	C₂×C₄	1	1	yes	characteristic
393	#6435	C₂³	1	1	yes	characteristic
394	#6435	C₂³	1	1	yes	characteristic
395	C₄²×D₇	C₂³	1	1	yes	characteristic
396	C₄²×D₇	C₂³	1	1	yes	characteristic
397	#6433	C₂×C₄	1	1	yes	characteristic
398	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
399	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
401	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
402	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
403	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
406	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
407	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
408	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
409	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
412	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
413	C₇×#97	C₂³	1	1	yes	characteristic
414	C₇×#97	C₂³	1	1	yes	characteristic
415	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
416	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
417	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
418	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
419	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
420	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
424	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
425	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
426	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
427	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
428	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
429	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
430	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
431	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
432	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
433	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
434	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
435	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
436	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
437	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
438	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
439	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
440	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
441	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
442	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
443	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
444	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
445	#6389	C₂³	1	1	yes	characteristic
446	#6389	C₂³	1	1	yes	characteristic
447	#6389	C₂³	1	1	yes	characteristic
448	#6389	C₂³	1	1	yes	characteristic
449	#6389	C₂³	1	1	yes	characteristic
450	#6389	C₂³	1	1	yes	characteristic
451	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
452	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
453	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
454	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
455	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
456	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
457	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
458	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
459	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
460	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
461	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
462	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
463	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
464	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
465	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
466	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
467	C₈×Dic₇	C₂³	1	1	yes	characteristic
468	C₈×Dic₇	C₂³	1	1	yes	characteristic
469	C₈×Dic₇	C₂³	1	1	yes	characteristic
470	C₈×Dic₇	C₂³	1	1	yes	characteristic
471	C₈×Dic₇	C₂³	1	1	yes	characteristic
472	C₈×Dic₇	C₂³	1	1	yes	characteristic
473	C₈×Dic₇	C₂³	1	1	yes	characteristic
474	C₈×Dic₇	C₂³	1	1	yes	characteristic
475	C₈×Dic₇	C₂³	1	1	yes	characteristic
476	C₈×Dic₇	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
479	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
480	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
481	#6377	C₂³	1	1	yes	characteristic
482	#6377	C₂³	1	1	yes	characteristic
483	#6377	C₂³	1	1	yes	characteristic
484	#6377	C₂³	1	1	yes	characteristic
485	#3481	—	7	1	no	—
486	#2995	—	7	1	no	—
487	#2995	—	7	1	no	—
488	#2994	—	7	1	no	—
489	#2993	—	7	1	no	—
490	#2990	—	7	1	no	—
491	#2989	—	7	1	no	—
492	#2981	—	7	1	no	—
493	#2978	—	7	1	no	—
494	#2978	—	7	1	no	—
495	#2976	—	7	1	no	—
496	#2976	—	7	1	no	—
497	#2975	—	7	1	no	—
498	#2974	—	7	1	no	—
499	#2973	—	7	1	no	—
500	#2973	—	7	1	no	—
501	#2971	—	7	1	no	—
502	#2969	—	7	1	no	—
503	#2967	—	7	1	no	—
504	#2967	—	7	1	no	—
505	#2966	—	7	1	no	—
506	#2965	—	7	1	no	—
507	#2935	—	7	1	no	—
508	D₄×M₁₆	—	7	1	no	—
509	D₄×M₁₆	—	7	1	no	—
510	D₄×M₁₆	D₇	1	1	yes	characteristic, complemented
511	#2933	—	7	1	no	—
512	#2933	—	7	1	no	—
513	#2930	—	7	1	no	—
514	#2930	—	7	1	no	—
515	C₂×#436	—	7	1	no	—
516	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
517	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
518	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
519	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₇×D₄	—	4	2	no	—
521	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
525	C₂²×C₄×C₇	—	4	1	no	—
526	C₂²×C₄×C₇	—	4	1	no	—
527	C₂²×C₄×C₇	—	4	1	no	—
528	C₂²×C₄×C₇	—	4	1	no	—
529	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
530	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
531	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
532	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
533	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
534	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
535	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
536	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
537	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
542	C₂×C₂²⋊D₇	—	4	2	no	—
543	C₂×C₂²⋊D₇	—	4	2	no	—
544	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
560	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
561	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
562	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
563	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
564	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
565	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
566	#1159	—	4	2	no	—
567	D₄×D₇	—	4	2	no	—
568	#1157	—	4	2	no	—
569	#1157	—	4	1	no	—
570	#1157	—	4	1	no	—
571	#1157	—	4	1	no	—
572	#1157	—	4	1	no	—
573	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
574	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
575	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
576	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₄×D₇	—	4	1	no	—
578	C₂×C₄×D₇	—	4	1	no	—
579	C₂×C₄×D₇	—	4	1	no	—
580	C₂×C₄×D₇	—	4	1	no	—
581	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
586	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
587	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
588	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
589	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
591	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
594	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
595	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
596	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
597	C₇×M₁₆	—	2	2	no	—
598	C₇×M₁₆	—	2	2	no	—
599	C₇×M₁₆	—	2	2	no	—
600	C₇×M₁₆	—	4	1	no	—
601	C₇×M₁₆	—	4	1	no	—
602	C₇×M₁₆	—	4	1	no	—
603	C₇×M₁₆	—	4	1	no	—
604	C₇×M₁₆	—	4	1	no	—
605	C₂×C₇×C₈	—	2	2	no	—
606	C₂×C₇×C₈	—	2	2	no	—
607	C₂×C₇×C₈	—	4	1	no	—
608	C₂×C₇×C₈	—	4	1	no	—
609	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
610	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
611	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
612	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
613	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
614	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
615	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
616	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
617	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
618	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
619	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
630	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
631	C₄²×C₇	C₂⁴	1	1	yes	characteristic
632	C₄²×C₇	C₂⁴	1	1	yes	characteristic
633	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
636	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
637	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
638	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
639	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
640	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
641	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
649	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
650	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
651	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
652	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
653	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
670	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
671	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
677	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
681	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
682	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
683	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
684	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
685	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
686	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
698	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
699	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
700	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
701	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
702	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
703	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
704	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
705	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
707	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
708	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
709	#1136	—	4	1	no	—
710	#1136	—	4	1	no	—
711	#1136	—	4	1	no	—
712	#1136	—	4	1	no	—
713	C₂×C₇⋊C₈	—	4	1	no	—
714	C₂×C₇⋊C₈	—	4	1	no	—
715	C₂×C₇⋊C₈	—	4	1	no	—
716	C₂×C₇⋊C₈	—	4	1	no	—
717	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
718	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
719	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
720	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
721	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
722	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
723	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
724	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
725	#1131	—	2	2	no	—
726	#1131	—	2	2	no	—
727	#1131	—	2	2	no	—
728	#1131	—	4	1	no	—
729	#1131	—	4	1	no	—
730	#1131	—	4	1	no	—
731	#1131	—	4	1	no	—
732	#1131	—	4	1	no	—
733	#1131	—	4	1	no	—
734	#1131	—	4	1	no	—
735	C₈×D₇	—	2	2	no	—
736	C₈×D₇	—	4	1	no	—
737	C₈×D₇	—	4	1	no	—
738	C₈×D₇	—	4	1	no	—
739	C₈×D₇	—	4	1	no	—
740	C₈×D₇	—	4	1	no	—
741	C₂×#131	—	7	1	no	—
742	C₂×#131	—	7	1	no	—
743	C₂²×M₁₆	—	7	1	no	—
744	C₂²×M₁₆	—	7	1	no	—
745	C₂²×M₁₆	C₂×D₇	1	1	yes	characteristic, complemented
746	C₂²×M₁₆	C₂×D₇	1	1	yes	characteristic, complemented
747	#559	—	7	1	no	—
748	#554	—	7	1	no	—
749	#554	—	7	1	no	—
750	#553	—	7	1	no	—
751	#553	—	7	1	no	—
752	#553	—	7	1	no	—
753	#553	—	7	1	no	—
754	#551	—	7	1	no	—
755	#551	—	7	1	no	—
756	#551	—	7	1	no	—
757	#551	—	7	1	no	—
758	#546	—	7	1	no	—
759	#546	—	7	1	no	—
760	#546	—	7	1	no	—
761	#546	—	7	1	no	—
762	D₄²	—	7	1	no	—
763	#532	—	7	1	no	—
764	#529	—	7	1	no	—
765	#529	—	7	1	no	—
766	#529	—	7	1	no	—
767	#529	—	7	1	no	—
768	#525	—	7	1	no	—
769	#525	—	7	1	no	—
770	#525	—	7	1	no	—
771	#525	—	7	1	no	—
772	C₄×#41	—	7	1	no	—
773	C₄×#41	—	7	1	no	—
774	C₂×C₄×D₄	—	7	1	no	—
775	C₂×C₄×D₄	—	7	1	no	—
776	C₂×C₄×D₄	—	7	1	no	—
777	C₂×C₄×D₄	C₂×D₇	1	1	yes	characteristic
778	#446	—	7	1	no	—
779	#446	—	7	1	no	—
780	#446	—	7	1	no	—
781	#446	—	7	1	no	—
782	#446	—	7	1	no	—
783	#446	—	7	1	no	—
784	C₈×Q₈	—	7	1	no	—
785	C₈×Q₈	—	7	1	no	—
786	#436	—	7	1	no	—
787	#436	—	7	1	no	—
788	#436	—	7	1	no	—
789	#436	—	7	1	no	—
790	#436	—	7	1	no	—
791	#436	—	7	1	no	—
792	#436	—	7	1	no	—
793	#436	—	7	1	no	—
794	#436	—	7	1	no	—
795	#436	—	7	1	no	—
796	#436	—	7	1	no	—
797	#436	—	7	1	no	—
798	#436	—	7	1	no	—
799	#436	—	7	1	no	—
800	#436	—	7	1	no	—
801	#436	—	7	1	no	—
802	#436	—	7	1	no	—
803	#436	—	7	1	no	—
804	#436	—	7	1	no	—
805	#436	—	7	1	no	—
806	#436	—	7	1	no	—
807	#436	—	7	1	no	—
808	#436	—	7	1	no	—
809	#436	—	7	1	no	—
810	#436	C₂×D₇	1	1	yes	characteristic, complemented
811	#436	C₂×D₇	1	1	yes	characteristic, complemented
812	#435	—	7	1	no	—
813	#435	—	7	1	no	—
814	#435	—	7	1	no	—
815	#435	—	7	1	no	—
816	#435	—	7	1	no	—
817	#435	—	7	1	no	—
818	#435	—	7	1	no	—
819	#435	—	7	1	no	—
820	#435	—	7	1	no	—
821	#435	—	7	1	no	—
822	#435	—	7	1	no	—
823	#435	—	7	1	no	—
824	#435	—	7	1	no	—
825	#435	—	7	1	no	—
826	#435	—	7	1	no	—
827	#435	—	7	1	no	—
828	#435	—	7	1	no	—
829	#435	—	7	1	no	—
830	#435	—	7	1	no	—
831	#435	—	7	1	no	—
832	#435	—	7	1	no	—
833	#435	—	7	1	no	—
834	#435	—	7	1	no	—
835	#435	—	7	1	no	—
836	#435	—	7	1	no	—
837	#435	—	7	1	no	—
838	#435	—	7	1	no	—
839	#435	—	7	1	no	—
840	#435	—	7	1	no	—
841	#435	—	7	1	no	—
842	#435	—	7	1	no	—
843	#435	—	7	1	no	—
844	#435	C₂×D₇	1	1	yes	characteristic
845	#435	C₂×D₇	1	1	yes	characteristic
846	#435	C₂×D₇	1	1	yes	characteristic, complemented
847	#435	C₂×D₇	1	1	yes	characteristic, complemented
848	C₈×D₄	—	7	1	no	—
849	C₈×D₄	—	7	1	no	—
850	C₈×D₄	—	7	1	no	—
851	C₈×D₄	—	7	1	no	—
852	C₈×D₄	—	7	1	no	—
853	C₈×D₄	—	7	1	no	—
854	C₈×D₄	—	7	1	no	—
855	C₈×D₄	—	7	1	no	—
856	C₈×D₄	C₂×D₇	1	1	yes	characteristic, complemented
857	C₈×D₄	C₂×D₇	1	1	yes	characteristic, complemented
858	#433	—	7	1	no	—
859	#433	—	7	1	no	—
860	#433	—	7	1	no	—
861	#433	—	7	1	no	—
862	#433	—	7	1	no	—
863	#433	—	7	1	no	—
864	#433	—	7	1	no	—
865	#433	—	7	1	no	—
866	#432	—	7	1	no	—
867	#432	—	7	1	no	—
868	#432	—	7	1	no	—
869	#432	—	7	1	no	—
870	#432	—	7	1	no	—
871	#432	—	7	1	no	—
872	#431	—	7	1	no	—
873	#431	—	7	1	no	—
874	#431	—	7	1	no	—
875	#431	—	7	1	no	—
876	#424	—	7	1	no	—
877	#424	—	7	1	no	—
878	#424	—	7	1	no	—
879	#424	—	7	1	no	—
880	#423	—	7	1	no	—
881	#423	—	7	1	no	—
882	#423	C₂×D₇	1	1	yes	characteristic, complemented
883	C₂×C₄⋊C₈	—	7	1	no	—
884	C₂×C₄⋊C₈	—	7	1	no	—
885	#408	—	7	1	no	—
886	#408	—	7	1	no	—
887	#408	—	7	1	no	—
888	#408	—	7	1	no	—
889	#408	—	7	1	no	—
890	#408	—	7	1	no	—
891	#407	—	7	1	no	—
892	#407	—	7	1	no	—
893	#407	—	7	1	no	—
894	#407	—	7	1	no	—
895	#407	—	7	1	no	—
896	#407	—	7	1	no	—
897	#407	C₂×D₇	1	1	yes	characteristic, complemented
898	#407	C₂×D₇	1	1	yes	characteristic, complemented
899	C₂×C₂²⋊C₈	—	7	1	no	—
900	C₂×C₂²⋊C₈	—	7	1	no	—
901	C₂×C₂²⋊C₈	—	7	1	no	—
902	C₂×C₂²⋊C₈	—	7	1	no	—
903	#405	—	7	1	no	—
904	#405	—	7	1	no	—
905	#405	—	7	1	no	—
906	#405	—	7	1	no	—
907	C₄×M₁₆	—	7	1	no	—
908	C₄×M₁₆	—	7	1	no	—
909	C₄×M₁₆	—	7	1	no	—
910	C₄×M₁₆	C₂×D₇	1	1	yes	characteristic, complemented
911	C₂×C₄×C₈	—	7	1	no	—
912	C₂³×C₇	—	2	2	no	—
913	C₂³×C₇	—	4	1	no	—
914	C₂³×C₇	—	4	1	no	—
915	C₂³×C₇	—	4	1	no	—
916	C₂³×C₇	—	4	1	no	—
917	C₂³×C₇	—	4	1	no	—
918	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
919	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
920	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
921	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
922	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
923	C₂²×D₇	—	2	2	no	—
924	C₂²×D₇	—	4	1	no	—
925	C₂²×D₇	—	4	1	no	—
926	C₂²×D₇	—	4	1	no	—
927	C₂²×D₇	—	4	1	no	—
928	C₂²×D₇	—	4	1	no	—
929	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
930	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
931	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
932	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
933	C₇×D₄	—	2	2	no	—
934	C₇×D₄	—	2	2	no	—
935	C₇×D₄	—	4	1	no	—
936	C₇×D₄	—	4	1	no	—
937	C₂×C₄×C₇	—	2	1	no	—
938	C₂×C₄×C₇	—	2	1	no	—
939	C₂×C₄×C₇	—	2	1	no	—
940	C₂×C₄×C₇	—	2	1	no	—
941	C₂×C₄×C₇	—	2	1	no	—
942	C₂×C₄×C₇	—	2	1	no	—
943	C₂×C₄×C₇	—	2	1	no	—
944	C₂×C₄×C₇	—	2	1	no	—
945	C₂×C₄×C₇	—	2	1	no	—
946	C₂×C₄×C₇	—	2	1	no	—
947	C₂×C₄×C₇	—	4	1	no	—
948	C₂×C₄×C₇	—	4	1	no	—
949	C₂×C₄×C₇	—	4	1	no	—
950	C₂×C₄×C₇	—	4	1	no	—
951	C₂×C₄×C₇	—	4	1	no	—
952	C₂×C₄×C₇	—	4	1	no	—
953	C₂×C₄×C₇	—	4	1	no	—
954	C₂×C₄×C₇	—	4	1	no	—
955	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
956	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
957	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
958	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
959	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
960	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
961	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
962	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
963	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
964	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
965	C₂²⋊D₇	—	2	2	no	—
966	C₂²⋊D₇	—	2	2	no	—
967	C₂²⋊D₇	—	2	2	no	—
968	C₂²⋊D₇	—	2	2	no	—
969	C₂²⋊D₇	—	2	2	no	—
970	C₂²⋊D₇	—	4	1	no	—
971	C₂²⋊D₇	—	4	1	no	—
972	C₂²⋊D₇	—	4	1	no	—
973	C₂²⋊D₇	—	4	1	no	—
974	C₂²⋊D₇	—	4	1	no	—
975	C₂²⋊D₇	—	4	1	no	—
976	C₂²⋊D₇	—	4	1	no	—
977	C₂²⋊D₇	—	4	1	no	—
978	C₂²⋊D₇	—	4	1	no	—
979	C₂²⋊D₇	—	4	1	no	—
980	C₂²⋊D₇	—	4	1	no	—
981	C₂×Dic₇	—	2	2	no	—
982	C₂×Dic₇	—	2	2	no	—
983	C₂×Dic₇	—	2	2	no	—
984	C₂×Dic₇	—	4	1	no	—
985	C₂×Dic₇	—	4	1	no	—
986	C₂×Dic₇	—	4	1	no	—
987	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
988	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
989	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
990	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
991	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
992	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
993	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
994	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
995	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
996	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
997	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
998	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
999	D₂₈	—	4	1	no	—
1000	D₂₈	—	4	1	no	—
1001	D₂₈	—	4	1	no	—
1002	D₂₈	—	4	1	no	—
1003	C₄×D₇	—	2	1	no	—
1004	C₄×D₇	—	2	1	no	—
1005	C₄×D₇	—	2	1	no	—
1006	C₄×D₇	—	2	1	no	—
1007	C₄×D₇	—	2	1	no	—
1008	C₄×D₇	—	2	1	no	—
1009	C₄×D₇	—	2	1	no	—
1010	C₄×D₇	—	2	1	no	—
1011	C₄×D₇	—	2	2	no	—
1012	C₄×D₇	—	4	1	no	—
1013	C₄×D₇	—	4	1	no	—
1014	C₄×D₇	—	4	1	no	—
1015	C₄×D₇	—	4	1	no	—
1016	C₄×D₇	—	4	1	no	—
1017	C₄×D₇	—	4	1	no	—
1018	C₄×D₇	—	4	1	no	—
1019	Dic₁₄	—	2	2	no	—
1020	Dic₁₄	—	4	1	no	—
1021	Dic₁₄	—	4	1	no	—
1022	Dic₁₄	—	4	1	no	—
1023	C₇×C₈	—	2	1	no	—
1024	C₇×C₈	—	2	1	no	—
1025	C₇×C₈	—	2	1	no	—
1026	C₇×C₈	—	2	1	no	—
1027	C₇×C₈	—	2	1	no	—
1028	C₇×C₈	—	2	1	no	—
1029	C₇×C₈	—	2	1	no	—
1030	C₇×C₈	H(5,𝔽₂)	1	2	yes	—
1031	C₇⋊C₈	—	2	1	no	—
1032	C₇⋊C₈	—	2	1	no	—
1033	C₇⋊C₈	—	2	1	no	—
1034	C₇⋊C₈	—	2	1	no	—
1035	C₇⋊C₈	—	2	1	no	—
1036	C₇⋊C₈	—	2	1	no	—
1037	C₇⋊C₈	—	2	1	no	—
1038	C₇⋊C₈	—	2	1	no	—
1039	C₂×#41	—	7	1	no	—
1040	C₂×#41	—	7	1	no	—
1041	C₂×#41	—	7	1	no	—
1042	C₂×#41	—	7	1	no	—
1043	C₂²×D₄	—	7	1	no	—
1044	C₂²×D₄	—	7	1	no	—
1045	C₂²×D₄	—	7	1	no	—
1046	C₂²×D₄	C₄×D₇	1	1	yes	characteristic
1047	C₂³×C₄	—	7	1	no	—
1048	C₂³×C₄	—	7	1	no	—
1049	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1050	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1051	#131	—	28	2	no	—
1052	#131	—	28	2	no	—
1053	C₂×M₁₆	—	4	2	no	—
1054	C₂×M₁₆	—	4	2	no	—
1055	C₂×M₁₆	—	7	1	no	—
1056	C₂×M₁₆	—	7	1	no	—
1057	C₂×M₁₆	—	7	1	no	—
1058	C₂×M₁₆	—	7	1	no	—
1059	C₂×M₁₆	—	7	1	no	—
1060	C₂×M₁₆	—	7	1	no	—
1061	C₂×M₁₆	—	7	1	no	—
1062	C₂×M₁₆	—	7	1	no	—
1063	C₂×M₁₆	—	7	1	no	—
1064	C₂×M₁₆	—	7	1	no	—
1065	C₂×M₁₆	—	7	1	no	—
1066	C₂×M₁₆	—	7	1	no	—
1067	C₂×M₁₆	—	7	1	no	—
1068	C₂×M₁₆	—	7	1	no	—
1069	C₂×M₁₆	—	28	2	no	—
1070	C₂×M₁₆	—	28	2	no	—
1071	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1072	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1073	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1074	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1075	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1076	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1077	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1078	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1079	C₂²×C₈	—	7	1	no	—
1080	C₂²×C₈	—	7	1	no	—
1081	C₂²×C₈	—	7	1	no	—
1082	C₂²×C₈	—	7	1	no	—
1083	C₂²×C₈	—	7	1	no	—
1084	C₂²×C₈	—	7	1	no	—
1085	C₂²×C₈	—	7	1	no	—
1086	C₂²×C₈	—	7	1	no	—
1087	C₂²×C₈	—	7	1	no	—
1088	C₂²×C₈	—	7	1	no	—
1089	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1090	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1091	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1092	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1093	C₄⋊Q₈	—	7	1	no	—
1094	#127	—	7	1	no	—
1095	#126	—	7	1	no	—
1096	#126	—	7	1	no	—
1097	#126	—	7	1	no	—
1098	#126	—	7	1	no	—
1099	#126	—	7	1	no	—
1100	#126	—	7	1	no	—
1101	#126	—	7	1	no	—
1102	#126	—	7	1	no	—
1103	#125	—	7	1	no	—
1104	#125	—	7	1	no	—
1105	#125	—	7	1	no	—
1106	#125	—	7	1	no	—
1107	#124	—	7	1	no	—
1108	#124	—	7	1	no	—
1109	#124	—	7	1	no	—
1110	#124	—	7	1	no	—
1111	#124	—	7	1	no	—
1112	#124	—	7	1	no	—
1113	#123	—	7	1	no	—
1114	#123	—	7	1	no	—
1115	#123	—	7	1	no	—
1116	#123	—	7	1	no	—
1117	#123	—	7	1	no	—
1118	#123	—	7	1	no	—
1119	#123	—	7	1	no	—
1120	#123	—	7	1	no	—
1121	#123	—	7	1	no	—
1122	#123	—	7	1	no	—
1123	#123	—	7	1	no	—
1124	#123	—	7	1	no	—
1125	#123	—	7	1	no	—
1126	#123	—	7	1	no	—
1127	#123	—	7	1	no	—
1128	#123	—	7	1	no	—
1129	C₂²⋊Q₈	—	7	1	no	—
1130	C₂²⋊Q₈	—	7	1	no	—
1131	C₂²⋊Q₈	—	7	1	no	—
1132	C₂²⋊Q₈	—	7	1	no	—
1133	C₂²⋊Q₈	—	7	1	no	—
1134	C₂²⋊Q₈	—	7	1	no	—
1135	C₂²⋊Q₈	—	7	1	no	—
1136	C₂²⋊Q₈	—	7	1	no	—
1137	C₂²⋊Q₈	—	7	1	no	—
1138	C₂²⋊Q₈	—	7	1	no	—
1139	C₂²⋊Q₈	—	7	1	no	—
1140	C₂²⋊Q₈	—	7	1	no	—
1141	#121	—	7	1	no	—
1142	#121	—	7	1	no	—
1143	#121	—	7	1	no	—
1144	#121	—	7	1	no	—
1145	#121	—	7	1	no	—
1146	#121	—	7	1	no	—
1147	#121	—	7	1	no	—
1148	#121	—	7	1	no	—
1149	#121	—	7	1	no	—
1150	#121	—	7	1	no	—
1151	#121	—	7	1	no	—
1152	#121	—	7	1	no	—
1153	#121	—	7	1	no	—
1154	#121	—	7	1	no	—
1155	#121	—	7	1	no	—
1156	#121	—	7	1	no	—
1157	#120	—	7	1	no	—
1158	#120	—	7	1	no	—
1159	#120	—	7	1	no	—
1160	#120	—	7	1	no	—
1161	#120	—	7	1	no	—
1162	#120	—	7	1	no	—
1163	#120	—	7	1	no	—
1164	#120	—	7	1	no	—
1165	C₄×Q₈	—	7	1	no	—
1166	C₄×Q₈	—	7	1	no	—
1167	C₄×Q₈	—	7	1	no	—
1168	C₄×Q₈	—	7	1	no	—
1169	C₄×D₄	—	7	1	no	—
1170	C₄×D₄	—	7	1	no	—
1171	C₄×D₄	—	7	1	no	—
1172	C₄×D₄	—	7	1	no	—
1173	C₄×D₄	—	7	1	no	—
1174	C₄×D₄	—	7	1	no	—
1175	C₄×D₄	—	7	1	no	—
1176	C₄×D₄	—	7	1	no	—
1177	C₄×D₄	—	7	1	no	—
1178	C₄×D₄	—	7	1	no	—
1179	C₄×D₄	—	7	1	no	—
1180	C₄×D₄	—	7	1	no	—
1181	C₄×D₄	—	7	1	no	—
1182	C₄×D₄	—	7	1	no	—
1183	C₄×D₄	—	7	1	no	—
1184	C₄×D₄	—	7	1	no	—
1185	C₄×D₄	—	7	1	no	—
1186	C₄×D₄	—	7	1	no	—
1187	C₄×D₄	—	7	1	no	—
1188	C₄×D₄	—	7	1	no	—
1189	C₄×D₄	—	7	1	no	—
1190	C₄×D₄	—	7	1	no	—
1191	C₄×D₄	—	7	1	no	—
1192	C₄×D₄	—	7	1	no	—
1193	C₄×D₄	—	7	1	no	—
1194	C₄×D₄	—	7	1	no	—
1195	C₄×D₄	—	7	1	no	—
1196	C₄×D₄	—	7	1	no	—
1197	C₄×D₄	—	7	1	no	—
1198	C₄×D₄	—	7	1	no	—
1199	C₄×D₄	—	7	1	no	—
1200	C₄×D₄	—	7	1	no	—
1201	C₄×D₄	C₄×D₇	1	1	yes	characteristic
1202	C₄×D₄	C₄×D₇	1	1	yes	characteristic
1203	C₄×D₄	C₄×D₇	1	1	yes	characteristic
1204	C₄×D₄	C₄×D₇	1	1	yes	characteristic
1205	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1206	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1207	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1208	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1209	#117	—	7	1	no	—
1210	#117	—	7	1	no	—
1211	#117	—	7	1	no	—
1212	#117	—	7	1	no	—
1213	#117	—	7	1	no	—
1214	#117	—	7	1	no	—
1215	#117	—	7	1	no	—
1216	#117	—	7	1	no	—
1217	#117	—	7	1	no	—
1218	#117	—	7	1	no	—
1219	C₂×C₄⋊C₄	—	7	1	no	—
1220	C₂×C₄⋊C₄	—	7	1	no	—
1221	C₂×C₄⋊C₄	—	7	1	no	—
1222	C₂×C₄⋊C₄	C₄×D₇	1	1	yes	characteristic
1223	C₂×C₂²⋊C₄	—	7	1	no	—
1224	C₂×C₂²⋊C₄	—	7	1	no	—
1225	C₂×C₂²⋊C₄	—	7	1	no	—
1226	C₂×C₂²⋊C₄	—	7	1	no	—
1227	C₂×C₂²⋊C₄	—	7	1	no	—
1228	C₂×C₂²⋊C₄	—	7	1	no	—
1229	C₂×C₂²⋊C₄	C₄×D₇	1	1	yes	characteristic
1230	C₂×C₂²⋊C₄	C₄×D₇	1	1	yes	characteristic
1231	C₂×C₄²	—	7	1	no	—
1232	C₂×C₄²	—	7	1	no	—
1233	C₂×C₄²	—	7	1	no	—
1234	C₂×C₄²	—	7	1	no	—
1235	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1236	C₄⋊C₈	—	7	1	no	—
1237	C₄⋊C₈	—	7	1	no	—
1238	C₄⋊C₈	—	7	1	no	—
1239	C₄⋊C₈	—	7	1	no	—
1240	C₄⋊C₈	—	7	1	no	—
1241	C₄⋊C₈	—	7	1	no	—
1242	C₄⋊C₈	—	7	1	no	—
1243	C₄⋊C₈	—	7	1	no	—
1244	C₄⋊C₈	—	7	1	no	—
1245	C₄⋊C₈	—	7	1	no	—
1246	C₄⋊C₈	—	7	1	no	—
1247	C₄⋊C₈	—	7	1	no	—
1248	C₄⋊C₈	—	7	1	no	—
1249	C₄⋊C₈	—	7	1	no	—
1250	C₄⋊C₈	—	7	1	no	—
1251	C₄⋊C₈	—	7	1	no	—
1252	C₄⋊C₈	—	7	1	no	—
1253	C₄⋊C₈	—	7	1	no	—
1254	C₄⋊C₈	—	7	1	no	—
1255	C₄⋊C₈	—	7	1	no	—
1256	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1257	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1258	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1259	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1260	C₂²⋊C₈	—	7	1	no	—
1261	C₂²⋊C₈	—	7	1	no	—
1262	C₂²⋊C₈	—	7	1	no	—
1263	C₂²⋊C₈	—	7	1	no	—
1264	C₂²⋊C₈	—	7	1	no	—
1265	C₂²⋊C₈	—	7	1	no	—
1266	C₂²⋊C₈	—	7	1	no	—
1267	C₂²⋊C₈	—	7	1	no	—
1268	C₂²⋊C₈	—	7	1	no	—
1269	C₂²⋊C₈	—	7	1	no	—
1270	C₂²⋊C₈	—	7	1	no	—
1271	C₂²⋊C₈	—	7	1	no	—
1272	C₂²⋊C₈	—	7	1	no	—
1273	C₂²⋊C₈	—	7	1	no	—
1274	C₂²⋊C₈	—	7	1	no	—
1275	C₂²⋊C₈	—	7	1	no	—
1276	C₂²⋊C₈	—	7	1	no	—
1277	C₂²⋊C₈	—	7	1	no	—
1278	C₂²⋊C₈	—	7	1	no	—
1279	C₂²⋊C₈	—	7	1	no	—
1280	C₂²⋊C₈	—	7	1	no	—
1281	C₂²⋊C₈	—	7	1	no	—
1282	C₂²⋊C₈	—	7	1	no	—
1283	C₂²⋊C₈	—	7	1	no	—
1284	C₂²⋊C₈	—	7	1	no	—
1285	C₂²⋊C₈	—	7	1	no	—
1286	C₂²⋊C₈	—	7	1	no	—
1287	C₂²⋊C₈	—	7	1	no	—
1288	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1289	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1290	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1291	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1292	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1293	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1294	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1296	#97	—	7	1	no	—
1297	#97	—	7	1	no	—
1298	#97	—	7	1	no	—
1299	#97	—	7	1	no	—
1300	#97	—	7	1	no	—
1301	#97	—	7	1	no	—
1302	#97	—	7	1	no	—
1303	#97	—	7	1	no	—
1304	#97	—	7	1	no	—
1305	#97	—	7	1	no	—
1306	#97	C₂²×D₇	1	1	yes	characteristic
1307	#97	C₂²×D₇	1	1	yes	characteristic
1308	C₄×C₈	—	7	1	no	—
1309	C₄×C₈	—	7	1	no	—
1310	C₄×C₈	—	7	1	no	—
1311	C₄×C₈	—	7	1	no	—
1312	C₄×C₈	—	7	1	no	—
1313	C₄×C₈	—	7	1	no	—
1314	C₄×C₈	—	7	1	no	—
1315	C₄×C₈	—	7	1	no	—
1316	C₄×C₈	—	7	1	no	—
1317	C₄×C₈	—	7	1	no	—
1318	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1319	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1320	C₂²×C₇	—	2	1	no	—
1321	C₂²×C₇	—	2	1	no	—
1322	C₂²×C₇	—	2	1	no	—
1323	C₂²×C₇	—	2	1	no	—
1324	C₂²×C₇	—	2	1	no	—
1325	C₂²×C₇	—	2	1	no	—
1326	C₂²×C₇	—	2	1	no	—
1327	C₂²×C₇	—	2	1	no	—
1328	C₂²×C₇	—	2	1	no	—
1329	C₂²×C₇	—	2	1	no	—
1330	C₂²×C₇	—	2	1	no	—
1331	C₂²×C₇	—	2	1	no	—
1332	C₂²×C₇	—	2	1	no	—
1333	C₂²×C₇	—	2	1	no	—
1334	C₂²×C₇	—	8	2	no	—
1335	C₂²×C₇	—	8	2	no	—
1336	C₂²×C₇	#568	1	2	yes	—
1337	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1338	C₂×D₇	—	2	1	no	—
1339	C₂×D₇	—	2	1	no	—
1340	C₂×D₇	—	2	1	no	—
1341	C₂×D₇	—	2	1	no	—
1342	C₂×D₇	—	2	1	no	—
1343	C₂×D₇	—	2	1	no	—
1344	C₂×D₇	—	2	1	no	—
1345	C₂×D₇	—	2	1	no	—
1346	C₂×D₇	—	2	1	no	—
1347	C₂×D₇	—	2	1	no	—
1348	C₂×D₇	—	2	1	no	—
1349	C₂×D₇	—	2	1	no	—
1350	C₂×D₇	—	8	2	no	—
1351	C₂×D₇	—	8	2	no	—
1352	C₄×C₇	—	2	1	no	—
1353	C₄×C₇	—	2	1	no	—
1354	C₄×C₇	—	2	1	no	—
1355	C₄×C₇	—	2	1	no	—
1356	C₄×C₇	—	2	1	no	—
1357	C₄×C₇	—	2	1	no	—
1358	C₄×C₇	—	2	1	no	—
1359	C₄×C₇	—	2	1	no	—
1360	C₄×C₇	—	2	1	no	—
1361	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1362	C₄×C₇	#585	1	1	yes	characteristic
1363	Dic₇	—	2	1	no	—
1364	Dic₇	—	2	1	no	—
1365	Dic₇	—	2	1	no	—
1366	Dic₇	—	2	1	no	—
1367	Dic₇	—	2	1	no	—
1368	Dic₇	—	2	1	no	—
1369	Dic₇	—	2	1	no	—
1370	Dic₇	—	2	1	no	—
1371	Dic₇	—	2	1	no	—
1372	Dic₇	—	2	1	no	—
1373	Dic₇	—	2	1	no	—
1374	Dic₇	#568	1	2	yes	—
1375	C₂⁴	—	7	1	no	—
1376	C₂⁴	—	7	1	no	—
1377	C₂⁴	C₂×C₄×D₇	1	1	yes	characteristic
1378	C₂⁴	C₂×C₄×D₇	1	1	yes	characteristic
1379	#41	—	28	1	no	—
1380	#41	—	28	1	no	—
1381	#41	—	28	1	no	—
1382	#41	—	28	1	no	—
1383	#41	—	28	2	no	—
1384	#41	—	28	2	no	—
1385	C₂×Q₈	—	7	1	no	—
1386	C₂×Q₈	—	7	1	no	—
1387	C₂×Q₈	—	7	1	no	—
1388	C₂×Q₈	—	7	1	no	—
1389	C₂×D₄	—	4	2	no	—
1390	C₂×D₄	—	7	1	no	—
1391	C₂×D₄	—	7	1	no	—
1392	C₂×D₄	—	7	1	no	—
1393	C₂×D₄	—	7	1	no	—
1394	C₂×D₄	—	7	1	no	—
1395	C₂×D₄	—	7	1	no	—
1396	C₂×D₄	—	7	1	no	—
1397	C₂×D₄	—	7	1	no	—
1398	C₂×D₄	—	7	1	no	—
1399	C₂×D₄	—	7	1	no	—
1400	C₂×D₄	—	7	1	no	—
1401	C₂×D₄	—	7	1	no	—
1402	C₂×D₄	—	7	1	no	—
1403	C₂×D₄	—	7	1	no	—
1404	C₂×D₄	—	7	1	no	—
1405	C₂×D₄	—	7	1	no	—
1406	C₂×D₄	—	7	1	no	—
1407	C₂×D₄	—	7	1	no	—
1408	C₂×D₄	—	7	1	no	—
1409	C₂×D₄	—	7	1	no	—
1410	C₂×D₄	—	28	2	no	—
1411	C₂×D₄	—	28	2	no	—
1412	C₂×D₄	—	28	2	no	—
1413	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1414	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1415	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1416	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1417	C₂²×C₄	—	4	1	no	—
1418	C₂²×C₄	—	4	1	no	—
1419	C₂²×C₄	—	4	1	no	—
1420	C₂²×C₄	—	4	1	no	—
1421	C₂²×C₄	—	7	1	no	—
1422	C₂²×C₄	—	7	1	no	—
1423	C₂²×C₄	—	7	1	no	—
1424	C₂²×C₄	—	7	1	no	—
1425	C₂²×C₄	—	7	1	no	—
1426	C₂²×C₄	—	7	1	no	—
1427	C₂²×C₄	—	7	1	no	—
1428	C₂²×C₄	—	7	1	no	—
1429	C₂²×C₄	—	7	1	no	—
1430	C₂²×C₄	—	7	1	no	—
1431	C₂²×C₄	—	7	1	no	—
1432	C₂²×C₄	—	7	1	no	—
1433	C₂²×C₄	—	7	1	no	—
1434	C₂²×C₄	—	7	1	no	—
1435	C₂²×C₄	—	7	1	no	—
1436	C₂²×C₄	—	7	1	no	—
1437	C₂²×C₄	—	7	1	no	—
1438	C₂²×C₄	—	7	1	no	—
1439	C₂²×C₄	—	28	1	no	—
1440	C₂²×C₄	—	28	1	no	—
1441	C₂²×C₄	—	28	1	no	—
1442	C₂²×C₄	—	28	1	no	—
1443	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1444	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1445	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1446	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1447	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1448	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1449	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1450	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1451	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1452	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1453	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1454	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1455	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1456	M₁₆	—	2	2	no	—
1457	M₁₆	—	2	2	no	—
1458	M₁₆	—	2	2	no	—
1459	M₁₆	—	4	1	no	—
1460	M₁₆	—	4	1	no	—
1461	M₁₆	—	4	1	no	—
1462	M₁₆	—	4	1	no	—
1463	M₁₆	—	4	1	no	—
1464	M₁₆	—	14	2	no	—
1465	M₁₆	—	14	2	no	—
1466	M₁₆	—	14	2	no	—
1467	M₁₆	—	28	1	no	—
1468	M₁₆	—	28	1	no	—
1469	M₁₆	—	28	1	no	—
1470	M₁₆	—	28	1	no	—
1471	M₁₆	—	28	1	no	—
1472	M₁₆	—	28	1	no	—
1473	M₁₆	—	28	1	no	—
1474	M₁₆	—	28	1	no	—
1475	M₁₆	—	28	1	no	—
1476	M₁₆	—	28	1	no	—
1477	M₁₆	—	28	1	no	—
1478	C₂×C₈	—	2	2	no	—
1479	C₂×C₈	—	2	2	no	—
1480	C₂×C₈	—	4	1	no	—
1481	C₂×C₈	—	4	1	no	—
1482	C₂×C₈	—	7	1	no	—
1483	C₂×C₈	—	7	1	no	—
1484	C₂×C₈	—	7	1	no	—
1485	C₂×C₈	—	7	1	no	—
1486	C₂×C₈	—	7	1	no	—
1487	C₂×C₈	—	7	1	no	—
1488	C₂×C₈	—	7	1	no	—
1489	C₂×C₈	—	7	1	no	—
1490	C₂×C₈	—	14	2	no	—
1491	C₂×C₈	—	28	1	no	—
1492	C₂×C₈	—	28	1	no	—
1493	C₂×C₈	—	28	1	no	—
1494	C₂×C₈	—	28	1	no	—
1495	C₂×C₈	—	28	1	no	—
1496	C₂×C₈	—	28	1	no	—
1497	C₂×C₈	—	28	1	no	—
1498	C₂×C₈	—	28	1	no	—
1499	C₂×C₈	—	28	1	no	—
1500	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1501	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1502	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1503	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1504	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1505	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1506	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1508	C₄⋊C₄	—	7	1	no	—
1509	C₄⋊C₄	—	7	1	no	—
1510	C₄⋊C₄	—	7	1	no	—
1511	C₄⋊C₄	—	7	1	no	—
1512	C₄⋊C₄	—	7	1	no	—
1513	C₄⋊C₄	—	7	1	no	—
1514	C₄⋊C₄	—	7	1	no	—
1515	C₄⋊C₄	—	7	1	no	—
1516	C₄⋊C₄	—	7	1	no	—
1517	C₄⋊C₄	—	7	1	no	—
1518	C₄⋊C₄	—	7	1	no	—
1519	C₄⋊C₄	—	7	1	no	—
1520	C₄⋊C₄	—	7	1	no	—
1521	C₄⋊C₄	—	7	1	no	—
1522	C₄⋊C₄	—	7	1	no	—
1523	C₄⋊C₄	—	7	1	no	—
1524	C₄⋊C₄	—	7	1	no	—
1525	C₄⋊C₄	—	7	1	no	—
1526	C₄⋊C₄	—	7	1	no	—
1527	C₄⋊C₄	—	7	1	no	—
1528	C₄⋊C₄	—	7	1	no	—
1529	C₄⋊C₄	—	7	1	no	—
1530	C₄⋊C₄	—	7	1	no	—
1531	C₄⋊C₄	—	7	1	no	—
1532	C₄⋊C₄	—	7	1	no	—
1533	C₄⋊C₄	—	7	1	no	—
1534	C₄⋊C₄	—	7	1	no	—
1535	C₄⋊C₄	—	7	1	no	—
1536	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1537	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1538	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1539	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1540	C₂²⋊C₄	—	7	1	no	—
1541	C₂²⋊C₄	—	7	1	no	—
1542	C₂²⋊C₄	—	7	1	no	—
1543	C₂²⋊C₄	—	7	1	no	—
1544	C₂²⋊C₄	—	7	1	no	—
1545	C₂²⋊C₄	—	7	1	no	—
1546	C₂²⋊C₄	—	7	1	no	—
1547	C₂²⋊C₄	—	7	1	no	—
1548	C₂²⋊C₄	—	7	1	no	—
1549	C₂²⋊C₄	—	7	1	no	—
1550	C₂²⋊C₄	—	7	1	no	—
1551	C₂²⋊C₄	—	7	1	no	—
1552	C₂²⋊C₄	—	7	1	no	—
1553	C₂²⋊C₄	—	7	1	no	—
1554	C₂²⋊C₄	—	7	1	no	—
1555	C₂²⋊C₄	—	7	1	no	—
1556	C₂²⋊C₄	—	7	1	no	—
1557	C₂²⋊C₄	—	7	1	no	—
1558	C₂²⋊C₄	—	7	1	no	—
1559	C₂²⋊C₄	—	7	1	no	—
1560	C₂²⋊C₄	—	7	1	no	—
1561	C₂²⋊C₄	—	7	1	no	—
1562	C₂²⋊C₄	—	7	1	no	—
1563	C₂²⋊C₄	—	7	1	no	—
1564	C₂²⋊C₄	—	7	1	no	—
1565	C₂²⋊C₄	—	7	1	no	—
1566	C₂²⋊C₄	—	7	1	no	—
1567	C₂²⋊C₄	—	7	1	no	—
1568	C₂²⋊C₄	—	7	1	no	—
1569	C₂²⋊C₄	—	7	1	no	—
1570	C₂²⋊C₄	—	7	1	no	—
1571	C₂²⋊C₄	—	7	1	no	—
1572	C₂²⋊C₄	—	7	1	no	—
1573	C₂²⋊C₄	—	7	1	no	—
1574	C₂²⋊C₄	—	7	1	no	—
1575	C₂²⋊C₄	—	7	1	no	—
1576	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1577	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1578	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1584	C₄²	—	7	1	no	—
1585	C₄²	—	7	1	no	—
1586	C₄²	—	7	1	no	—
1587	C₄²	—	7	1	no	—
1588	C₄²	—	7	1	no	—
1589	C₄²	—	7	1	no	—
1590	C₄²	—	7	1	no	—
1591	C₄²	—	7	1	no	—
1592	C₄²	—	7	1	no	—
1593	C₄²	—	7	1	no	—
1594	C₄²	—	7	1	no	—
1595	C₄²	—	7	1	no	—
1596	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1597	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1598	C₄²	C₂³×D₇	1	1	yes	characteristic
1599	C₄²	C₂³×D₇	1	1	yes	characteristic
1600	C₂×C₇	—	2	2	no	—
1601	C₂×C₇	—	4	1	no	—
1602	C₂×C₇	—	4	1	no	—
1603	C₂×C₇	—	4	1	no	—
1604	C₂×C₇	—	4	1	no	—
1605	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1606	C₂×C₇	C₂×#568	1	1	yes	characteristic
1607	C₂×C₇	C₂×#568	1	1	yes	characteristic
1608	D₇	—	4	1	no	—
1609	D₇	—	4	1	no	—
1610	D₇	—	4	1	no	—
1611	D₇	—	4	1	no	—
1612	C₂³	—	2	2	no	—
1613	C₂³	—	4	1	no	—
1614	C₂³	—	4	1	no	—
1615	C₂³	—	4	1	no	—
1616	C₂³	—	4	1	no	—
1617	C₂³	—	4	1	no	—
1618	C₂³	—	7	1	no	—
1619	C₂³	—	7	1	no	—
1620	C₂³	—	7	1	no	—
1621	C₂³	—	7	1	no	—
1622	C₂³	—	14	2	no	—
1623	C₂³	—	28	1	no	—
1624	C₂³	—	28	1	no	—
1625	C₂³	—	28	1	no	—
1626	C₂³	—	28	1	no	—
1627	C₂³	—	28	1	no	—
1628	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1629	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1630	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1631	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1632	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1633	Q₈	—	14	2	no	—
1634	Q₈	—	28	1	no	—
1635	Q₈	—	28	1	no	—
1636	Q₈	—	28	1	no	—
1637	D₄	—	2	2	no	—
1638	D₄	—	2	2	no	—
1639	D₄	—	4	1	no	—
1640	D₄	—	4	1	no	—
1641	D₄	—	14	2	no	—
1642	D₄	—	14	2	no	—
1643	D₄	—	14	2	no	—
1644	D₄	—	14	2	no	—
1645	D₄	—	14	2	no	—
1646	D₄	—	28	1	no	—
1647	D₄	—	28	1	no	—
1648	D₄	—	28	1	no	—
1649	D₄	—	28	1	no	—
1650	D₄	—	28	1	no	—
1651	D₄	—	28	1	no	—
1652	D₄	—	28	1	no	—
1653	D₄	—	28	1	no	—
1654	D₄	—	28	1	no	—
1655	D₄	—	28	1	no	—
1656	D₄	—	28	1	no	—
1657	D₄	—	28	1	no	—
1658	D₄	—	28	1	no	—
1659	D₄	—	28	1	no	—
1660	D₄	—	28	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	2	1	no	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	4	1	no	—
1672	C₂×C₄	—	4	1	no	—
1673	C₂×C₄	—	4	1	no	—
1674	C₂×C₄	—	4	1	no	—
1675	C₂×C₄	—	4	1	no	—
1676	C₂×C₄	—	4	1	no	—
1677	C₂×C₄	—	4	1	no	—
1678	C₂×C₄	—	4	1	no	—
1679	C₂×C₄	—	7	1	no	—
1680	C₂×C₄	—	7	1	no	—
1681	C₂×C₄	—	7	1	no	—
1682	C₂×C₄	—	7	1	no	—
1683	C₂×C₄	—	7	1	no	—
1684	C₂×C₄	—	7	1	no	—
1685	C₂×C₄	—	7	1	no	—
1686	C₂×C₄	—	7	1	no	—
1687	C₂×C₄	—	7	1	no	—
1688	C₂×C₄	—	7	1	no	—
1689	C₂×C₄	—	7	1	no	—
1690	C₂×C₄	—	7	1	no	—
1691	C₂×C₄	—	14	2	no	—
1692	C₂×C₄	—	14	2	no	—
1693	C₂×C₄	—	14	2	no	—
1694	C₂×C₄	—	14	2	no	—
1695	C₂×C₄	—	14	1	no	—
1696	C₂×C₄	—	14	1	no	—
1697	C₂×C₄	—	14	1	no	—
1698	C₂×C₄	—	14	1	no	—
1699	C₂×C₄	—	14	1	no	—
1700	C₂×C₄	—	14	1	no	—
1701	C₂×C₄	—	14	1	no	—
1702	C₂×C₄	—	14	1	no	—
1703	C₂×C₄	—	28	1	no	—
1704	C₂×C₄	—	28	1	no	—
1705	C₂×C₄	—	28	1	no	—
1706	C₂×C₄	—	28	1	no	—
1707	C₂×C₄	—	28	1	no	—
1708	C₂×C₄	—	28	1	no	—
1709	C₂×C₄	—	28	1	no	—
1710	C₂×C₄	—	28	1	no	—
1711	C₂×C₄	—	28	1	no	—
1712	C₂×C₄	—	28	1	no	—
1713	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1714	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1715	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1716	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1717	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1718	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1719	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1720	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1721	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1722	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1723	C₈	—	2	1	no	—
1724	C₈	—	2	1	no	—
1725	C₈	—	2	1	no	—
1726	C₈	—	2	1	no	—
1727	C₈	—	2	1	no	—
1728	C₈	—	2	1	no	—
1729	C₈	—	2	1	no	—
1730	C₈	—	14	1	no	—
1731	C₈	—	14	1	no	—
1732	C₈	—	14	1	no	—
1733	C₈	—	14	1	no	—
1734	C₈	—	14	1	no	—
1735	C₈	—	14	1	no	—
1736	C₈	—	14	1	no	—
1737	C₈	—	14	1	no	—
1738	C₈	#6548	1	2	yes	—
1739	C₇	#60324	1	1	yes	characteristic, complemented, Sylow
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	8	2	no	—
1755	C₂²	—	8	2	no	—
1756	C₂²	—	14	1	no	—
1757	C₂²	—	14	1	no	—
1758	C₂²	—	14	1	no	—
1759	C₂²	—	14	1	no	—
1760	C₂²	—	14	1	no	—
1761	C₂²	—	14	1	no	—
1762	C₂²	—	14	1	no	—
1763	C₂²	—	14	1	no	—
1764	C₂²	—	14	1	no	—
1765	C₂²	—	14	1	no	—
1766	C₂²	—	14	1	no	—
1767	C₂²	—	14	1	no	—
1768	C₂²	—	56	2	no	—
1769	C₂²	—	56	2	no	—
1770	C₂²	#90436	1	2	yes	—
1771	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	7	2	no	—
1782	C₄	—	14	1	no	—
1783	C₄	—	14	1	no	—
1784	C₄	—	14	1	no	—
1785	C₄	—	14	1	no	—
1786	C₄	—	14	1	no	—
1787	C₄	—	14	1	no	—
1788	C₄	—	14	1	no	—
1789	C₄	—	14	1	no	—
1790	C₄	—	14	1	no	—
1791	C₄	—	14	1	no	—
1792	C₄	—	14	1	no	—
1793	C₄	C₂×#6548	1	1	yes	characteristic
1794	C₄	#90616	1	1	yes	characteristic
1795	C₂	—	2	2	no	—
1796	C₂	—	4	1	no	—
1797	C₂	—	4	1	no	—
1798	C₂	—	4	1	no	—
1799	C₂	—	4	1	no	—
1800	C₂	—	28	1	no	—
1801	C₂	—	28	1	no	—
1802	C₂	—	28	1	no	—
1803	C₂	—	28	1	no	—
1804	C₂	C₄×#6548	1	1	yes	characteristic
1805	C₂	C₂×#90436	1	1	yes	characteristic
1806	C₂	D₇×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×D₄×M₁₆	C₂
prime radical	#11742853	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	D₄×M₁₆	D₇
hypocenter	C₇	#60324
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ D₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. C₇×D₄×M₁₆	C₂	semidirect
3. M₁₆×C₂²⋊D₇	C₂	semidirect
4. #11741202	C₂	semidirect
5. #11741201	C₂	semidirect
6. C₂×#89900	C₂	semidirect
7. #11739747	C₂	semidirect
8. #11736990	C₂	semidirect
9. #11736982	C₂	semidirect
10. #11736970	C₂	semidirect
11. #11736965	C₂	semidirect
12. #11736937	C₂	semidirect
13. #11736930	C₂	semidirect
14. #11736929	C₂	semidirect
15. #11736928	C₂	semidirect
16. #11736913	C₂	semidirect
17. #11736907	C₂	semidirect
18. #11736901	C₂	semidirect
19. #11736898	C₂	semidirect
20. #11736873	C₂	semidirect
21. #11736868	C₂	semidirect
22. #11736854	C₂	semidirect
23. #11736845	C₂	semidirect
24. #11736499	C₂	semidirect
25. #11736495	C₂	semidirect
26. #11736081	C₂	semidirect
27. #11736080	C₂	semidirect
28. #11736079	C₂	semidirect
29. #11736078	C₂	semidirect
30. #11735957	C₂	semidirect
31. #11735955	C₂	semidirect
32. C₂²×C₇×M₁₆	C₂²	semidirect
33. C₂²×C₇×M₁₆	C₂²	semidirect
41. C₂×#6470	C₂²	semidirect
42. C₂×D₇×M₁₆	C₂²	semidirect
43. C₂×#6464	C₂²	semidirect
44. C₂²×#1131	C₂²	semidirect
69. C₇×#436	C₂²	semidirect
70. C₇×#436	C₂²	semidirect
73. C₇×#435	C₂²	semidirect
74. C₇×#435	C₂²	semidirect
75. C₇×C₈×D₄	C₂²	semidirect
76. C₇×C₈×D₄	C₂²	semidirect
77. C₇×#423	C₂²	semidirect
78. C₇×#407	C₂²	semidirect
79. C₇×#407	C₂²	semidirect
80. C₄×C₇×M₁₆	C₂²	semidirect
81. #89979	C₂²	semidirect
82. #89979	C₂²	semidirect
83. C₂×C₂²⋊(C₇⋊C₈)	C₂²	semidirect
84. C₂×C₂²⋊(C₇⋊C₈)	C₂²	semidirect
85. #89901	C₂²	semidirect
90. #89900	C₂²	semidirect
91. #89900	C₂²	semidirect
92. #89900	C₂²	semidirect
93. #89900	C₂²	semidirect
94. #89900	C₂²	semidirect
95. #89900	C₂²	semidirect
96. #89900	C₂²	semidirect
97. #89900	C₂²	semidirect
98. #89900	C₂²	semidirect
99. #89900	C₂²	semidirect
100. #89900	C₂²	semidirect
101. #89900	C₂²	semidirect
102. #89899	C₂²	semidirect
103. #89899	C₂²	semidirect
104. #89899	C₂²	semidirect
105. #89899	C₂²	semidirect
106. #89899	C₂²	semidirect
107. #89899	C₂²	semidirect
108. #89899	C₂²	semidirect
109. #89899	C₂²	semidirect
110. #89898	C₂²	semidirect
111. #89894	C₂²	semidirect
112. #89891	C₂²	semidirect
113. #89890	C₂²	semidirect
114. M₁₆×Dic₇	C₂²	semidirect
115. #89883	C₂²	semidirect
116. #89883	C₂²	semidirect
117. #89883	C₂²	semidirect
118. #89883	C₂²	semidirect
119. #89882	C₂²	semidirect
120. C₈×C₂²⋊D₇	C₂²	semidirect
121. C₈×C₂²⋊D₇	C₂²	semidirect
122. C₈×C₂²⋊D₇	C₂²	semidirect
123. C₈×C₂²⋊D₇	C₂²	semidirect
124. C₂×(C₂×D₇)⋊C₈	C₂²	semidirect
125. #89874	C₂²	semidirect
126. #89873	C₂²	semidirect
127. C₂×Dic₇⋊C₈	C₂²	semidirect
128. C₂×C₈×Dic₇	C₂²	semidirect
131. #89783	C₂²	semidirect
132. #89783	C₂²	semidirect
133. #89783	C₂²	semidirect
134. #89783	C₂²	semidirect
135. #89783	C₂²	semidirect
136. #89783	C₂²	semidirect
137. #89698	C₂²	semidirect
138. #89698	C₂²	semidirect
139. #89612	C₂²	semidirect
140. #89612	C₂²	semidirect
141. #89611	C₂²	semidirect
142. #89611	C₂²	semidirect
143. #89609	C₂²	semidirect
144. #89608	C₂²	semidirect
145. #89608	C₂²	semidirect
146. #89608	C₂²	semidirect
147. #89608	C₂²	semidirect
148. #89607	C₂²	semidirect
149. #89605	C₂²	semidirect
150. D₇×C₄⋊C₈	C₂²	semidirect
151. #89600	C₂²	semidirect
152. #89600	C₂²	semidirect
153. #89600	C₂²	semidirect
154. #89600	C₂²	semidirect
155. #89502	C₂²	semidirect
156. #89502	C₂²	semidirect
157. #89502	C₂²	semidirect
158. #89502	C₂²	semidirect
159. #89501	C₂²	semidirect
160. #89501	C₂²	semidirect
161. #89501	C₂²	semidirect
162. #89501	C₂²	semidirect
163. #89501	C₂²	semidirect
164. #89501	C₂²	semidirect
165. #89500	C₂²	semidirect
166. #89500	C₂²	semidirect
167. #89499	C₂²	semidirect
168. #89499	C₂²	semidirect
169. #89499	C₂²	semidirect
170. #89499	C₂²	semidirect
171. #89498	C₂²	semidirect
172. #89498	C₂²	semidirect
173. #89498	C₂²	semidirect
174. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
175. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
176. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
177. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
178. D₇×C₂²⋊C₈	C₂²	semidirect
179. #89492	C₂²	semidirect
180. #89492	C₂²	semidirect
181. #89492	C₂²	semidirect
182. #89492	C₂²	semidirect
183. #89491	C₂²	semidirect
184. #89490	C₂²	semidirect
185. #89490	C₂²	semidirect
186. #89490	C₂²	semidirect
187. #89479	C₂²	semidirect
188. #89479	C₂²	semidirect
189. #89478	C₂²	semidirect
190. #89478	C₂²	semidirect
191. #89477	C₂²	semidirect
192. #89477	C₂²	semidirect
193. #89473	C₂²	semidirect
194. #89473	C₂²	semidirect
195. #89462	C₂²	semidirect
196. #89462	C₂²	semidirect
197. #89461	C₂²	semidirect
198. #89461	C₂²	semidirect
199. #89460	C₂²	semidirect
200. #89460	C₂²	semidirect
201. C₈×Dic₁₄	C₂²	semidirect
202. C₈×Dic₁₄	C₂²	semidirect
510. D₄×M₁₆	D₇	semidirect
745. C₂²×M₁₆	C₂×D₇	semidirect
746. C₂²×M₁₆	C₂×D₇	semidirect
810. #436	C₂×D₇	semidirect
811. #436	C₂×D₇	semidirect
846. #435	C₂×D₇	semidirect
847. #435	C₂×D₇	semidirect
856. C₈×D₄	C₂×D₇	semidirect
857. C₈×D₄	C₂×D₇	semidirect
882. #423	C₂×D₇	semidirect
897. #407	C₂×D₇	semidirect
898. #407	C₂×D₇	semidirect
910. C₄×M₁₆	C₂×D₇	semidirect
1739. C₇	#60324	semidirect

Maximal subgroups

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

subgroup	index
#11742853	2
C₇×D₄×M₁₆	2
M₁₆×C₂²⋊D₇	2
#11741202	2
#11741201	2
C₂×#89900	2
#11739747	2
#11736990	2
#11736982	2
#11736970	2
#11736965	2
#11736937	2
#11736930	2
#11736929	2
#11736928	2
#11736913	2
#11736907	2
#11736901	2
#11736898	2
#11736873	2
#11736868	2
#11736854	2
#11736845	2
#11736499	2
#11736495	2
#11736081	2
#11736080	2
#11736079	2
#11736078	2
#11735957	2
#11735955	2
#60324	7