Subgroups — #14219613

Order 1792.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743088	C₂	1	1	yes	maximal, characteristic
2	C₇×#2933	C₂	1	1	yes	maximal, characteristic, complemented
3	#11741233	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741232	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#89899	C₂	1	1	yes	maximal, characteristic, complemented
6	#11741202	C₂	1	1	yes	maximal, characteristic, complemented
7	#11740365	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736992	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736986	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736973	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736964	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736936	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736932	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736925	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736923	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736908	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736907	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736905	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736902	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736873	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736866	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736851	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736849	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736530	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736527	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736114	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736113	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736050	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736047	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736003	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736002	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₇×#131	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₇×M₁₆	C₂²	1	1	yes	characteristic
34	C₇×#525	C₂²	1	1	yes	characteristic
35	#90523	C₂²	1	1	yes	characteristic
36	#90523	C₂²	1	1	yes	characteristic
37	#90482	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₂²⋊D₇	C₂²	1	1	yes	characteristic
39	C₂×#6470	C₂²	1	1	yes	characteristic, complemented
40	C₂×#6470	C₂²	1	1	yes	characteristic, complemented
41	C₂×#6464	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₈×D₇	C₂²	1	1	yes	characteristic
43	#90354	C₄	1	1	yes	characteristic
44	#90354	C₄	1	1	yes	characteristic
45	#90353	C₄	1	1	yes	characteristic
46	#90353	C₄	1	1	yes	characteristic
47	#90335	C₄	1	1	yes	characteristic
48	#90331	C₄	1	1	yes	characteristic
49	#90331	C₄	1	1	yes	characteristic
50	#90314	C₄	1	1	yes	characteristic
51	#90308	C₄	1	1	yes	characteristic
52	#90306	C₄	1	1	yes	characteristic
53	#90306	C₄	1	1	yes	characteristic
54	#90288	C₄	1	1	yes	characteristic
55	#90284	C₄	1	1	yes	characteristic
56	#90284	C₄	1	1	yes	characteristic
57	#90283	C₄	1	1	yes	characteristic
58	#90283	C₄	1	1	yes	characteristic
59	#90239	C₂²	1	1	yes	characteristic
60	#90239	C₂²	1	1	yes	characteristic
61	#90238	C₂²	1	1	yes	characteristic
62	#90238	C₂²	1	1	yes	characteristic
63	#90229	C₂²	1	1	yes	characteristic
64	#90229	C₂²	1	1	yes	characteristic
65	C₄×#1159	C₂²	1	1	yes	characteristic
66	C₄×#1159	C₂²	1	1	yes	characteristic
67	#90219	C₂²	1	1	yes	characteristic
68	#90219	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
76	C₇×C₈×D₄	C₂²	1	1	yes	characteristic
77	C₇×#424	C₂²	1	1	yes	characteristic, complemented
78	C₇×#408	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
80	C₇×#405	C₂²	1	1	yes	characteristic, complemented
81	#90006	C₂²	1	1	yes	characteristic, complemented
82	#90006	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₂²⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic
84	C₂×C₂²⋊(C₇⋊C₈)	C₂²	1	1	yes	characteristic
85	#89901	C₂²	1	1	yes	characteristic, complemented
86	#89901	C₂²	1	1	yes	characteristic, complemented
87	#89900	C₂²	1	1	yes	characteristic, complemented
88	#89900	C₂²	1	1	yes	characteristic, complemented
89	#89900	C₂²	1	1	yes	characteristic, complemented
90	#89899	C₂²	1	1	yes	characteristic
91	#89899	C₂²	1	1	yes	characteristic
92	#89899	C₂²	1	1	yes	characteristic
93	#89899	C₂²	1	1	yes	characteristic
94	#89899	C₂²	1	1	yes	characteristic
95	#89899	C₂²	1	1	yes	characteristic
96	#89899	C₂²	1	1	yes	characteristic
97	#89899	C₂²	1	1	yes	characteristic
98	#89899	C₂²	1	1	yes	characteristic, complemented
99	#89899	C₂²	1	1	yes	characteristic, complemented
100	#89899	C₂²	1	1	yes	characteristic, complemented
101	#89899	C₂²	1	1	yes	characteristic, complemented
102	#89899	C₂²	1	1	yes	characteristic, complemented
103	#89894	C₂²	1	1	yes	characteristic, complemented
104	#89891	C₂²	1	1	yes	characteristic, complemented
105	#89890	C₂²	1	1	yes	characteristic, complemented
106	M₁₆×Dic₇	C₂²	1	1	yes	characteristic, complemented
107	#89883	C₂²	1	1	yes	characteristic
108	#89883	C₂²	1	1	yes	characteristic
109	#89883	C₂²	1	1	yes	characteristic
110	#89883	C₂²	1	1	yes	characteristic
111	#89883	C₂²	1	1	yes	characteristic
112	#89883	C₂²	1	1	yes	characteristic
113	#89883	C₂²	1	1	yes	characteristic, complemented
114	#89883	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	#89882	C₂²	1	1	yes	characteristic, complemented
119	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
120	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
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
125	C₂×#6389	C₂²	1	1	yes	characteristic
126	C₂×#6389	C₂²	1	1	yes	characteristic, complemented
127	C₂×Dic₇⋊C₈	C₂²	1	1	yes	characteristic
128	C₂×Dic₇⋊C₈	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	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
134	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
135	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	#89772	C₂²	1	1	yes	characteristic, complemented
138	#89772	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	#89610	C₂²	1	1	yes	characteristic, complemented
144	#89609	C₂²	1	1	yes	characteristic, complemented
145	#89608	C₂²	1	1	yes	characteristic, complemented
146	#89608	C₂²	1	1	yes	characteristic, complemented
147	#89607	C₂²	1	1	yes	characteristic, complemented
148	#89607	C₂²	1	1	yes	characteristic, complemented
149	#89606	C₂²	1	1	yes	characteristic, complemented
150	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#89603	C₂²	1	1	yes	characteristic, complemented
152	#89603	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
156	#89502	C₂²	1	1	yes	characteristic
157	#89502	C₂²	1	1	yes	characteristic
158	#89502	C₂²	1	1	yes	characteristic
159	#89502	C₂²	1	1	yes	characteristic
160	#89502	C₂²	1	1	yes	characteristic
161	#89502	C₂²	1	1	yes	characteristic, complemented
162	#89502	C₂²	1	1	yes	characteristic, complemented
163	#89502	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	#89500	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	#89499	C₂²	1	1	yes	characteristic, complemented
172	#89499	C₂²	1	1	yes	characteristic, complemented
173	#89499	C₂²	1	1	yes	characteristic, complemented
174	#89498	C₂²	1	1	yes	characteristic
175	#89498	C₂²	1	1	yes	characteristic
176	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
177	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
178	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	#89492	C₂²	1	1	yes	characteristic, complemented
180	#89492	C₂²	1	1	yes	characteristic, complemented
181	#89491	C₂²	1	1	yes	characteristic
182	#89491	C₂²	1	1	yes	characteristic
183	#89491	C₂²	1	1	yes	characteristic, complemented
184	#89491	C₂²	1	1	yes	characteristic, complemented
185	#89491	C₂²	1	1	yes	characteristic, complemented
186	#89490	C₂²	1	1	yes	characteristic, complemented
187	#89481	C₂²	1	1	yes	characteristic, complemented
188	#89480	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	D₇×#97	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	#89461	C₂²	1	1	yes	characteristic, complemented
197	#89460	C₂²	1	1	yes	characteristic, complemented
198	C₄×#1131	C₂²	1	1	yes	characteristic, complemented
199	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
200	#89457	C₂²	1	1	yes	characteristic, complemented
201	#89451	C₂²	1	1	yes	characteristic, complemented
202	#89451	C₂²	1	1	yes	characteristic, complemented
203	#60316	—	7	1	no	maximal, Sylow
204	C₂×C₇×#41	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₇	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
207	C₂×#1159	C₂×C₄	1	1	yes	characteristic
208	C₂×#1159	C₂×C₄	1	1	yes	characteristic
209	C₂×#1157	C₂³	1	1	yes	characteristic
210	C₂×#1157	C₂³	1	1	yes	characteristic
211	C₂×#1157	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
213	C₇×#131	—	4	2	no	—
214	C₂×C₇×M₁₆	—	4	2	no	—
215	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
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	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
222	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
223	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
224	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
225	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
226	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
227	C₇×#123	C₂×C₄	1	1	yes	characteristic
228	C₇×#123	C₂×C₄	1	1	yes	characteristic
229	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
230	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
231	C₇×#121	C₂×C₄	1	1	yes	characteristic
232	C₇×#121	C₂×C₄	1	1	yes	characteristic
233	C₇×#120	C₂×C₄	1	1	yes	characteristic
234	C₇×#120	C₂×C₄	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	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
239	C₇×#117	C₂³	1	1	yes	characteristic
240	#6516	C₂×C₄	1	1	yes	characteristic
241	#6516	C₂×C₄	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₇	C₂×C₄	1	1	yes	characteristic
243	#6510	C₂×C₄	1	1	yes	characteristic
244	#6510	C₂×C₄	1	1	yes	characteristic
245	#6507	C₂×C₄	1	1	yes	characteristic
246	#6507	C₂×C₄	1	1	yes	characteristic
247	#6503	C₂×C₄	1	1	yes	characteristic
248	#6503	C₂×C₄	1	1	yes	characteristic
249	#6503	C₂×C₄	1	1	yes	characteristic
250	#6503	C₂×C₄	1	1	yes	characteristic
251	#6502	C₂×C₄	1	1	yes	characteristic
252	#6502	C₂×C₄	1	1	yes	characteristic
253	#6502	C₂×C₄	1	1	yes	characteristic
254	#6502	C₂×C₄	1	1	yes	characteristic
255	#6502	C₂×C₄	1	1	yes	characteristic
256	#6502	C₂×C₄	1	1	yes	characteristic
257	#6502	C₂×C₄	1	1	yes	characteristic
258	#6502	C₂×C₄	1	1	yes	characteristic
259	#6502	C₂×C₄	1	1	yes	characteristic
260	#6502	C₂×C₄	1	1	yes	characteristic
261	#6502	C₂×C₄	1	1	yes	characteristic
262	#6502	C₂×C₄	1	1	yes	characteristic
263	#6501	C₂×C₄	1	1	yes	characteristic
264	#6501	C₂×C₄	1	1	yes	characteristic
265	#6500	C₂×C₄	1	1	yes	characteristic
266	#6500	C₂×C₄	1	1	yes	characteristic
267	#6499	C₂×C₄	1	1	yes	characteristic
268	#6499	C₂×C₄	1	1	yes	characteristic
269	#6498	C₂×C₄	1	1	yes	characteristic
270	#6498	C₂×C₄	1	1	yes	characteristic
271	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
272	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
273	#6493	C₂×C₄	1	1	yes	characteristic
274	#6493	C₂×C₄	1	1	yes	characteristic
275	#6492	C₂×C₄	1	1	yes	characteristic
276	#6492	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	C₂³	1	1	yes	characteristic
282	C₄×C₂²⋊D₇	C₂³	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	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
294	#6489	C₂³	1	1	yes	characteristic
295	#6487	C₂×C₄	1	1	yes	characteristic
296	#6487	C₂×C₄	1	1	yes	characteristic
297	C₂×Dic₇⋊C₄	C₂×C₄	1	1	yes	characteristic
298	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
301	C₂×#1136	C₂³	1	1	yes	characteristic
302	C₂×#1136	C₂³	1	1	yes	characteristic
303	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
304	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
305	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
306	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
307	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
308	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
309	#6470	—	4	2	no	—
310	#6470	—	4	2	no	—
311	#6464	—	4	2	no	—
312	C₂×#1131	C₂³	1	1	yes	characteristic
313	C₂×#1131	C₂³	1	1	yes	characteristic
314	C₂×#1131	C₂³	1	1	yes	characteristic
315	C₂×#1131	C₂³	1	1	yes	characteristic
316	C₂×#1131	C₂³	1	1	yes	characteristic
317	C₂×#1131	C₂³	1	1	yes	characteristic
318	C₂×#1131	C₂³	1	1	yes	characteristic
319	C₂×#1131	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₇	—	4	2	no	—
321	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
326	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
328	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
329	#6461	C₂×C₄	1	1	yes	characteristic
330	#6461	C₂×C₄	1	1	yes	characteristic
331	#6461	C₂×C₄	1	1	yes	characteristic
332	#6461	C₂×C₄	1	1	yes	characteristic
333	#6459	C₂×C₄	1	1	yes	characteristic
334	#6459	C₂×C₄	1	1	yes	characteristic
335	#6459	C₂×C₄	1	1	yes	characteristic
336	#6459	C₂×C₄	1	1	yes	characteristic
337	#6458	C₂×C₄	1	1	yes	characteristic
338	#6458	C₂×C₄	1	1	yes	characteristic
339	#6457	C₂×C₄	1	1	yes	characteristic
340	#6457	C₂×C₄	1	1	yes	characteristic
341	#6457	C₂×C₄	1	1	yes	characteristic
342	#6457	C₂×C₄	1	1	yes	characteristic
343	#6455	C₂×C₄	1	1	yes	characteristic
344	#6455	C₂×C₄	1	1	yes	characteristic
345	#6452	C₂×C₄	1	1	yes	characteristic
346	#6452	C₂×C₄	1	1	yes	characteristic
347	#6452	C₂×C₄	1	1	yes	characteristic
348	#6452	C₂×C₄	1	1	yes	characteristic
349	#6451	C₂×C₄	1	1	yes	characteristic
350	#6451	C₂×C₄	1	1	yes	characteristic
351	#6450	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	#6448	C₂×C₄	1	1	yes	characteristic
360	#6448	C₂×C₄	1	1	yes	characteristic
361	#6448	C₂×C₄	1	1	yes	characteristic
362	#6448	C₂×C₄	1	1	yes	characteristic
363	#6447	C₂×C₄	1	1	yes	characteristic
364	#6447	C₂×C₄	1	1	yes	characteristic
365	#6447	C₂×C₄	1	1	yes	characteristic
366	#6447	C₂×C₄	1	1	yes	characteristic
367	#6447	C₂×C₄	1	1	yes	characteristic
368	#6447	C₂×C₄	1	1	yes	characteristic
369	#6447	C₂×C₄	1	1	yes	characteristic
370	#6447	C₂×C₄	1	1	yes	characteristic
371	#6446	C₂×C₄	1	1	yes	characteristic
372	#6446	C₂×C₄	1	1	yes	characteristic
373	#6446	C₂×C₄	1	1	yes	characteristic
374	#6446	C₂×C₄	1	1	yes	characteristic
375	#6445	C₂×C₄	1	1	yes	characteristic
376	#6445	C₂×C₄	1	1	yes	characteristic
377	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
378	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
379	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
380	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
381	#6442	C₂×C₄	1	1	yes	characteristic
382	#6442	C₂×C₄	1	1	yes	characteristic
383	#6442	C₂×C₄	1	1	yes	characteristic
384	#6442	C₂×C₄	1	1	yes	characteristic
385	#6441	C₂×C₄	1	1	yes	characteristic
386	#6441	C₂×C₄	1	1	yes	characteristic
387	#6441	C₂×C₄	1	1	yes	characteristic
388	#6441	C₂×C₄	1	1	yes	characteristic
389	#6440	C₂×C₄	1	1	yes	characteristic
390	#6440	C₂×C₄	1	1	yes	characteristic
391	#6440	C₂×C₄	1	1	yes	characteristic
392	#6440	C₂×C₄	1	1	yes	characteristic
393	C₄×D₂₈	C₂³	1	1	yes	characteristic
394	C₄×D₂₈	C₂³	1	1	yes	characteristic
395	#6435	C₂³	1	1	yes	characteristic
396	#6435	C₂³	1	1	yes	characteristic
397	C₄²×D₇	C₂³	1	1	yes	characteristic
398	C₄²×D₇	C₂³	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	#6389	C₂³	1	1	yes	characteristic
452	#6389	C₂³	1	1	yes	characteristic
453	#6389	C₂³	1	1	yes	characteristic
454	#6389	C₂³	1	1	yes	characteristic
455	#6389	C₂³	1	1	yes	characteristic
456	#6389	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	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
468	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
469	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
470	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
471	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
472	Dic₇⋊C₈	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	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
485	#3460	—	7	1	no	—
486	#2995	—	7	1	no	—
487	#2995	—	7	1	no	—
488	#2992	—	7	1	no	—
489	#2992	—	7	1	no	—
490	#2990	—	7	1	no	—
491	#2990	—	7	1	no	—
492	#2981	—	7	1	no	—
493	#2981	—	7	1	no	—
494	#2980	—	7	1	no	—
495	#2980	—	7	1	no	—
496	#2977	—	7	1	no	—
497	#2977	—	7	1	no	—
498	#2976	—	7	1	no	—
499	#2976	—	7	1	no	—
500	#2973	—	7	1	no	—
501	#2970	—	7	1	no	—
502	#2970	—	7	1	no	—
503	#2968	—	7	1	no	—
504	#2968	—	7	1	no	—
505	#2967	—	7	1	no	—
506	#2967	—	7	1	no	—
507	#2935	—	7	1	no	—
508	#2935	—	7	1	no	—
509	#2933	—	7	1	no	—
510	#2933	D₇	1	1	yes	characteristic, complemented
511	#2932	—	7	1	no	—
512	#2932	—	7	1	no	—
513	#2929	—	7	1	no	—
514	#2929	—	7	1	no	—
515	C₂×#435	—	7	1	no	—
516	C₂⁴×C₇	C₂²×C₄	1	1	yes	characteristic
517	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
518	C₇×#41	—	4	1	no	—
519	C₇×#41	—	4	1	no	—
520	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
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	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
528	C₂²×C₄×C₇	—	4	1	no	—
529	C₂²×C₄×C₇	—	4	1	no	—
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	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
538	C₂×C₂²⋊D₇	—	4	2	no	—
539	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
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	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
558	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
559	C₂²×Dic₇	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	#1159	—	4	2	no	—
565	#1159	—	4	2	no	—
566	#1157	—	4	1	no	—
567	#1157	—	4	1	no	—
568	#1157	—	4	1	no	—
569	#1157	—	4	1	no	—
570	#1157	—	4	1	no	—
571	#1157	—	4	1	no	—
572	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
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	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
589	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
590	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
591	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
592	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
593	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
594	C₇×M₁₆	—	2	2	no	—
595	C₇×M₁₆	—	2	2	no	—
596	C₇×M₁₆	—	2	2	no	—
597	C₇×M₁₆	—	4	1	no	—
598	C₇×M₁₆	—	4	1	no	—
599	C₇×M₁₆	—	4	1	no	—
600	C₂×C₇×C₈	—	2	2	no	—
601	C₂×C₇×C₈	—	2	2	no	—
602	C₂×C₇×C₈	—	4	1	no	—
603	C₂×C₇×C₈	—	4	1	no	—
604	C₂×C₇×C₈	—	4	1	no	—
605	C₂×C₇×C₈	—	4	1	no	—
606	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
607	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
608	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
615	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
616	C₇×C₄⋊C₄	C₂²×C₄	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×C₂²⋊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	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₄²×C₇	C₂⁴	1	1	yes	characteristic
631	C₄²×C₇	C₂⁴	1	1	yes	characteristic
632	C₂²⋊Dic₇	C₂²×C₄	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	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
647	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
648	(C₂×D₇)⋊C₄	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	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
667	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
668	C₄⋊Dic₇	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	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	Dic₇⋊C₄	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	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
693	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
694	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
695	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
696	C₄×Dic₇	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	C₂⁴	1	1	yes	characteristic
703	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
704	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
705	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
706	#1136	—	4	1	no	—
707	#1136	—	4	1	no	—
708	C₂×C₇⋊C₈	—	4	1	no	—
709	C₂×C₇⋊C₈	—	4	1	no	—
710	C₂×C₇⋊C₈	—	4	1	no	—
711	C₂×C₇⋊C₈	—	4	1	no	—
712	C₂×C₇⋊C₈	—	4	1	no	—
713	C₂×C₇⋊C₈	—	4	1	no	—
714	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
715	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
716	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
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	#1131	—	2	2	no	—
723	#1131	—	4	1	no	—
724	#1131	—	4	1	no	—
725	#1131	—	4	1	no	—
726	#1131	—	4	1	no	—
727	#1131	—	4	1	no	—
728	#1131	—	4	1	no	—
729	#1131	—	4	1	no	—
730	C₈×D₇	—	2	2	no	—
731	C₈×D₇	—	2	2	no	—
732	C₈×D₇	—	2	2	no	—
733	C₈×D₇	—	4	1	no	—
734	C₈×D₇	—	4	1	no	—
735	C₈×D₇	—	4	1	no	—
736	C₈×D₇	—	4	1	no	—
737	C₈×D₇	—	4	1	no	—
738	C₂×#131	—	7	1	no	—
739	C₂×#131	—	7	1	no	—
740	C₂×#131	—	7	1	no	—
741	C₂×#131	C₂×D₇	1	1	yes	characteristic, complemented
742	C₂²×M₁₆	C₂×D₇	1	1	yes	characteristic
743	C₂³×C₈	—	7	1	no	—
744	#544	—	7	1	no	—
745	#542	—	7	1	no	—
746	#542	—	7	1	no	—
747	#542	—	7	1	no	—
748	#542	—	7	1	no	—
749	#540	—	7	1	no	—
750	#540	—	7	1	no	—
751	#540	—	7	1	no	—
752	#540	—	7	1	no	—
753	#538	—	7	1	no	—
754	#538	—	7	1	no	—
755	#538	—	7	1	no	—
756	#538	—	7	1	no	—
757	#537	—	7	1	no	—
758	#535	—	7	1	no	—
759	#535	—	7	1	no	—
760	#532	—	7	1	no	—
761	#532	—	7	1	no	—
762	#532	—	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	C₂×D₇	1	1	yes	characteristic
772	C₄×#41	—	7	1	no	—
773	C₄×#41	—	7	1	no	—
774	C₂×C₄×D₄	—	7	1	no	—
775	#446	—	7	1	no	—
776	#446	—	7	1	no	—
777	#446	—	7	1	no	—
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	#436	—	7	1	no	—
784	#436	—	7	1	no	—
785	#436	—	7	1	no	—
786	#436	—	7	1	no	—
787	#436	—	7	1	no	—
788	#436	—	7	1	no	—
789	#436	C₂×D₇	1	1	yes	characteristic, complemented
790	#436	C₂×D₇	1	1	yes	characteristic, complemented
791	#435	—	7	1	no	—
792	#435	—	7	1	no	—
793	#435	—	7	1	no	—
794	#435	—	7	1	no	—
795	#435	—	7	1	no	—
796	#435	—	7	1	no	—
797	#435	—	7	1	no	—
798	#435	—	7	1	no	—
799	#435	—	7	1	no	—
800	#435	—	7	1	no	—
801	#435	—	7	1	no	—
802	#435	—	7	1	no	—
803	#435	—	7	1	no	—
804	#435	—	7	1	no	—
805	#435	—	7	1	no	—
806	#435	—	7	1	no	—
807	#435	—	7	1	no	—
808	#435	—	7	1	no	—
809	#435	—	7	1	no	—
810	#435	—	7	1	no	—
811	#435	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
836	#435	C₂×D₇	1	1	yes	characteristic
837	#435	C₂×D₇	1	1	yes	characteristic, complemented
838	#435	C₂×D₇	1	1	yes	characteristic, complemented
839	C₈×D₄	—	7	1	no	—
840	C₈×D₄	—	7	1	no	—
841	C₈×D₄	—	7	1	no	—
842	C₈×D₄	—	7	1	no	—
843	C₈×D₄	—	7	1	no	—
844	C₈×D₄	—	7	1	no	—
845	C₈×D₄	—	7	1	no	—
846	C₈×D₄	—	7	1	no	—
847	C₈×D₄	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
854	C₈×D₄	C₂×D₇	1	1	yes	characteristic
855	#433	—	7	1	no	—
856	#433	—	7	1	no	—
857	#433	—	7	1	no	—
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	#432	—	7	1	no	—
864	#432	—	7	1	no	—
865	#432	—	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	#431	—	7	1	no	—
872	#431	—	7	1	no	—
873	#424	—	7	1	no	—
874	#424	—	7	1	no	—
875	#424	—	7	1	no	—
876	#424	C₂×D₇	1	1	yes	characteristic, complemented
877	#423	—	7	1	no	—
878	#423	—	7	1	no	—
879	C₂×C₄⋊C₈	—	7	1	no	—
880	C₂×C₄⋊C₈	—	7	1	no	—
881	C₂×C₄⋊C₈	—	7	1	no	—
882	#408	—	7	1	no	—
883	#408	—	7	1	no	—
884	#408	—	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	#408	—	7	1	no	—
892	#408	—	7	1	no	—
893	#408	C₂×D₇	1	1	yes	characteristic, complemented
894	#407	—	7	1	no	—
895	#407	—	7	1	no	—
896	C₂×C₂²⋊C₈	—	7	1	no	—
897	C₂×C₂²⋊C₈	—	7	1	no	—
898	C₂×C₂²⋊C₈	—	7	1	no	—
899	C₂×C₂²⋊C₈	C₂×D₇	1	1	yes	characteristic
900	#405	—	7	1	no	—
901	#405	—	7	1	no	—
902	#405	—	7	1	no	—
903	#405	C₂×D₇	1	1	yes	characteristic, complemented
904	C₄×M₁₆	—	7	1	no	—
905	C₄×M₁₆	—	7	1	no	—
906	C₂×#97	—	7	1	no	—
907	C₂×#97	—	7	1	no	—
908	C₂×#97	—	7	1	no	—
909	C₂³×C₇	—	2	2	no	—
910	C₂³×C₇	—	4	1	no	—
911	C₂³×C₇	—	4	1	no	—
912	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
913	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
914	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
915	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
916	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
917	C₂²×D₇	—	2	2	no	—
918	C₂²×D₇	—	4	1	no	—
919	C₂²×D₇	—	4	1	no	—
920	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
921	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
922	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
923	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
924	C₇×Q₈	—	4	1	no	—
925	C₇×D₄	—	2	2	no	—
926	C₇×D₄	—	2	2	no	—
927	C₇×D₄	—	4	1	no	—
928	C₇×D₄	—	4	1	no	—
929	C₇×D₄	—	4	1	no	—
930	C₇×D₄	—	4	1	no	—
931	C₇×D₄	—	4	1	no	—
932	C₂×C₄×C₇	—	2	1	no	—
933	C₂×C₄×C₇	—	2	1	no	—
934	C₂×C₄×C₇	—	2	1	no	—
935	C₂×C₄×C₇	—	2	1	no	—
936	C₂×C₄×C₇	—	2	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	—	4	1	no	—
943	C₂×C₄×C₇	—	4	1	no	—
944	C₂×C₄×C₇	—	4	1	no	—
945	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
946	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
947	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
948	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
949	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
950	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
951	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
952	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
953	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
954	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
955	C₂²⋊D₇	—	2	2	no	—
956	C₂²⋊D₇	—	2	2	no	—
957	C₂²⋊D₇	—	4	1	no	—
958	C₂²⋊D₇	—	4	1	no	—
959	C₂²⋊D₇	—	4	1	no	—
960	C₂²⋊D₇	—	4	1	no	—
961	C₂²⋊D₇	—	4	1	no	—
962	C₂²⋊D₇	—	4	1	no	—
963	C₂²⋊D₇	—	4	1	no	—
964	C₂²⋊D₇	—	4	1	no	—
965	C₂²⋊D₇	—	4	1	no	—
966	C₂²⋊D₇	—	4	1	no	—
967	C₂²⋊D₇	—	4	1	no	—
968	C₂²⋊D₇	—	4	1	no	—
969	C₂²⋊D₇	—	4	1	no	—
970	C₂²⋊D₇	—	4	1	no	—
971	C₂²⋊D₇	—	4	1	no	—
972	C₂²⋊D₇	—	4	1	no	—
973	C₂×Dic₇	—	2	2	no	—
974	C₂×Dic₇	—	4	1	no	—
975	C₂×Dic₇	—	4	1	no	—
976	C₂×Dic₇	—	4	1	no	—
977	C₂×Dic₇	—	4	1	no	—
978	C₂×Dic₇	—	4	1	no	—
979	C₂×Dic₇	—	4	1	no	—
980	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
981	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
982	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
983	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
984	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
985	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
986	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
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	D₂₈	—	4	1	no	—
993	D₂₈	—	4	1	no	—
994	D₂₈	—	4	1	no	—
995	D₂₈	—	4	1	no	—
996	D₂₈	—	4	1	no	—
997	C₄×D₇	—	2	1	no	—
998	C₄×D₇	—	2	1	no	—
999	C₄×D₇	—	2	1	no	—
1000	C₄×D₇	—	2	1	no	—
1001	C₄×D₇	—	2	1	no	—
1002	C₄×D₇	—	2	1	no	—
1003	C₄×D₇	—	2	1	no	—
1004	C₄×D₇	—	2	1	no	—
1005	C₄×D₇	—	4	1	no	—
1006	C₄×D₇	—	4	1	no	—
1007	C₄×D₇	—	4	1	no	—
1008	C₄×D₇	—	4	1	no	—
1009	C₄×D₇	—	4	1	no	—
1010	C₄×D₇	—	4	1	no	—
1011	Dic₁₄	—	4	1	no	—
1012	Dic₁₄	—	4	1	no	—
1013	Dic₁₄	—	4	1	no	—
1014	Dic₁₄	—	4	1	no	—
1015	Dic₁₄	—	4	1	no	—
1016	C₇×C₈	—	2	1	no	—
1017	C₇×C₈	—	2	1	no	—
1018	C₇×C₈	—	2	1	no	—
1019	C₇×C₈	—	2	1	no	—
1020	C₇×C₈	—	2	1	no	—
1021	C₇×C₈	—	2	1	no	—
1022	C₇×C₈	—	2	1	no	—
1023	C₇×C₈	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
1031	C₇⋊C₈	—	2	1	no	—
1032	C₂×#41	—	7	1	no	—
1033	C₂×#41	—	7	1	no	—
1034	C₂×#41	—	7	1	no	—
1035	C₂×#41	—	7	1	no	—
1036	C₂×#41	—	7	1	no	—
1037	C₂×#41	C₂²×D₇	1	1	yes	characteristic
1038	C₂²×D₄	—	7	1	no	—
1039	C₂³×C₄	—	7	1	no	—
1040	C₂³×C₄	C₂²×D₇	1	1	yes	characteristic
1041	#131	—	4	2	no	—
1042	#131	—	28	2	no	—
1043	#131	—	28	2	no	—
1044	#131	—	28	2	no	—
1045	C₂×M₁₆	—	4	2	no	—
1046	C₂×M₁₆	—	7	1	no	—
1047	C₂×M₁₆	—	7	1	no	—
1048	C₂×M₁₆	—	7	1	no	—
1049	C₂×M₁₆	—	7	1	no	—
1050	C₂×M₁₆	—	7	1	no	—
1051	C₂×M₁₆	—	7	1	no	—
1052	C₂×M₁₆	—	7	1	no	—
1053	C₂×M₁₆	—	7	1	no	—
1054	C₂×M₁₆	—	7	1	no	—
1055	C₂×M₁₆	—	7	1	no	—
1056	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1057	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1058	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1059	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1060	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1061	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1062	C₂²×C₈	—	7	1	no	—
1063	C₂²×C₈	—	7	1	no	—
1064	C₂²×C₈	—	7	1	no	—
1065	C₂²×C₈	—	7	1	no	—
1066	C₂²×C₈	—	7	1	no	—
1067	C₂²×C₈	—	7	1	no	—
1068	C₂²×C₈	—	7	1	no	—
1069	C₂²×C₈	—	7	1	no	—
1070	C₂²×C₈	—	7	1	no	—
1071	C₂²×C₈	—	7	1	no	—
1072	C₂²×C₈	—	7	1	no	—
1073	C₂²×C₈	—	7	1	no	—
1074	C₂²×C₈	—	7	1	no	—
1075	C₂²×C₈	—	7	1	no	—
1076	C₂²×C₈	—	28	2	no	—
1077	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1078	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1079	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1080	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1081	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1082	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1083	C₄⋊Q₈	—	7	1	no	—
1084	C₄⋊Q₈	—	7	1	no	—
1085	C₄⋊Q₈	—	7	1	no	—
1086	C₄⋊Q₈	—	7	1	no	—
1087	#127	—	7	1	no	—
1088	#127	—	7	1	no	—
1089	#127	—	7	1	no	—
1090	#127	—	7	1	no	—
1091	#126	—	7	1	no	—
1092	#126	—	7	1	no	—
1093	#126	—	7	1	no	—
1094	#126	—	7	1	no	—
1095	#126	—	7	1	no	—
1096	#126	—	7	1	no	—
1097	#126	—	7	1	no	—
1098	#126	—	7	1	no	—
1099	#125	—	7	1	no	—
1100	#125	—	7	1	no	—
1101	#125	—	7	1	no	—
1102	#125	—	7	1	no	—
1103	#124	—	7	1	no	—
1104	#124	—	7	1	no	—
1105	#124	—	7	1	no	—
1106	#124	—	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	#124	—	7	1	no	—
1114	#124	—	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	#123	C₄×D₇	1	1	yes	characteristic
1130	#123	C₄×D₇	1	1	yes	characteristic
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	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1142	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
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	#121	—	7	1	no	—
1158	#121	—	7	1	no	—
1159	#121	—	7	1	no	—
1160	#121	—	7	1	no	—
1161	#121	—	7	1	no	—
1162	#121	—	7	1	no	—
1163	#121	—	7	1	no	—
1164	#121	—	7	1	no	—
1165	#121	—	7	1	no	—
1166	#121	—	7	1	no	—
1167	#121	—	7	1	no	—
1168	#121	—	7	1	no	—
1169	#121	C₄×D₇	1	1	yes	characteristic
1170	#121	C₄×D₇	1	1	yes	characteristic
1171	#120	—	7	1	no	—
1172	#120	—	7	1	no	—
1173	#120	—	7	1	no	—
1174	#120	—	7	1	no	—
1175	#120	—	7	1	no	—
1176	#120	—	7	1	no	—
1177	#120	C₄×D₇	1	1	yes	characteristic
1178	#120	C₄×D₇	1	1	yes	characteristic
1179	C₄×Q₈	—	7	1	no	—
1180	C₄×Q₈	—	7	1	no	—
1181	C₄×Q₈	—	7	1	no	—
1182	C₄×Q₈	—	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	—	7	1	no	—
1202	C₄×D₄	—	7	1	no	—
1203	C₄×D₄	—	7	1	no	—
1204	C₄×D₄	—	7	1	no	—
1205	C₄×D₄	—	7	1	no	—
1206	C₄×D₄	—	7	1	no	—
1207	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1208	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1209	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1210	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
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	#117	—	7	1	no	—
1220	#117	C₂²×D₇	1	1	yes	characteristic
1221	C₂×C₄⋊C₄	—	7	1	no	—
1222	C₂×C₂²⋊C₄	—	7	1	no	—
1223	C₂×C₂²⋊C₄	—	7	1	no	—
1224	C₂×C₄²	—	7	1	no	—
1225	C₂×C₄²	—	7	1	no	—
1226	C₂×C₄²	—	7	1	no	—
1227	C₂×C₄²	—	7	1	no	—
1228	C₂×C₄²	—	7	1	no	—
1229	C₄⋊C₈	—	7	1	no	—
1230	C₄⋊C₈	—	7	1	no	—
1231	C₄⋊C₈	—	7	1	no	—
1232	C₄⋊C₈	—	7	1	no	—
1233	C₄⋊C₈	—	7	1	no	—
1234	C₄⋊C₈	—	7	1	no	—
1235	C₄⋊C₈	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1250	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1251	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1252	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1253	C₂²⋊C₈	—	7	1	no	—
1254	C₂²⋊C₈	—	7	1	no	—
1255	C₂²⋊C₈	—	7	1	no	—
1256	C₂²⋊C₈	—	7	1	no	—
1257	C₂²⋊C₈	—	7	1	no	—
1258	C₂²⋊C₈	—	7	1	no	—
1259	C₂²⋊C₈	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1282	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1283	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1284	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1285	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1286	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1287	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1289	#97	—	7	1	no	—
1290	#97	—	7	1	no	—
1291	#97	—	7	1	no	—
1292	#97	—	7	1	no	—
1293	#97	—	7	1	no	—
1294	#97	—	7	1	no	—
1295	#97	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1304	#97	C₂²×D₇	1	1	yes	characteristic
1305	C₄×C₈	—	7	1	no	—
1306	C₄×C₈	—	7	1	no	—
1307	C₄×C₈	—	7	1	no	—
1308	C₄×C₈	—	7	1	no	—
1309	C₄×C₈	—	7	1	no	—
1310	C₄×C₈	—	7	1	no	—
1311	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1312	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1313	C₂²×C₇	—	2	1	no	—
1314	C₂²×C₇	—	2	1	no	—
1315	C₂²×C₇	—	2	1	no	—
1316	C₂²×C₇	—	2	1	no	—
1317	C₂²×C₇	—	2	1	no	—
1318	C₂²×C₇	—	2	1	no	—
1319	C₂²×C₇	—	2	1	no	—
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	—	8	2	no	—
1328	C₂²×C₇	#568	1	2	yes	—
1329	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1330	C₂×D₇	—	2	1	no	—
1331	C₂×D₇	—	2	1	no	—
1332	C₂×D₇	—	2	1	no	—
1333	C₂×D₇	—	2	1	no	—
1334	C₂×D₇	—	2	1	no	—
1335	C₂×D₇	—	2	1	no	—
1336	C₂×D₇	—	2	1	no	—
1337	C₂×D₇	—	2	1	no	—
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	—	4	4	no	—
1343	C₄×C₇	—	2	1	no	—
1344	C₄×C₇	—	2	1	no	—
1345	C₄×C₇	—	2	1	no	—
1346	C₄×C₇	—	2	1	no	—
1347	C₄×C₇	—	2	1	no	—
1348	C₄×C₇	—	2	1	no	—
1349	C₄×C₇	—	2	1	no	—
1350	C₄×C₇	—	2	1	no	—
1351	C₄×C₇	—	2	1	no	—
1352	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1353	C₄×C₇	#585	1	1	yes	characteristic
1354	Dic₇	—	2	1	no	—
1355	Dic₇	—	2	1	no	—
1356	Dic₇	—	2	1	no	—
1357	Dic₇	—	2	1	no	—
1358	Dic₇	—	2	1	no	—
1359	Dic₇	—	2	1	no	—
1360	Dic₇	—	2	1	no	—
1361	Dic₇	—	2	1	no	—
1362	Dic₇	—	2	1	no	—
1363	Dic₇	—	2	1	no	—
1364	Dic₇	—	2	1	no	—
1365	Dic₇	—	2	1	no	—
1366	C₂⁴	—	7	1	no	—
1367	C₂⁴	C₂×C₄×D₇	1	1	yes	characteristic
1368	#41	—	4	1	no	—
1369	#41	—	4	1	no	—
1370	#41	—	28	1	no	—
1371	#41	—	28	1	no	—
1372	#41	—	28	1	no	—
1373	#41	—	28	1	no	—
1374	#41	—	28	1	no	—
1375	#41	—	28	1	no	—
1376	#41	—	28	2	no	—
1377	#41	—	28	2	no	—
1378	C₂×Q₈	—	7	1	no	—
1379	C₂×Q₈	—	7	1	no	—
1380	C₂×Q₈	—	7	1	no	—
1381	C₂×Q₈	—	7	1	no	—
1382	C₂×Q₈	—	7	1	no	—
1383	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1384	C₂×D₄	—	7	1	no	—
1385	C₂×D₄	—	7	1	no	—
1386	C₂×D₄	—	7	1	no	—
1387	C₂×D₄	—	7	1	no	—
1388	C₂×D₄	—	7	1	no	—
1389	C₂×D₄	—	7	1	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	—	28	2	no	—
1408	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1409	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1410	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1411	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1412	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1413	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1414	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1415	C₂²×C₄	—	4	1	no	—
1416	C₂²×C₄	—	4	1	no	—
1417	C₂²×C₄	—	7	1	no	—
1418	C₂²×C₄	—	7	1	no	—
1419	C₂²×C₄	—	7	1	no	—
1420	C₂²×C₄	—	7	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	—	28	1	no	—
1435	C₂²×C₄	—	28	1	no	—
1436	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1437	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1438	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1439	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1440	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1441	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1442	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1443	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1444	M₁₆	—	2	2	no	—
1445	M₁₆	—	2	2	no	—
1446	M₁₆	—	2	2	no	—
1447	M₁₆	—	4	1	no	—
1448	M₁₆	—	4	1	no	—
1449	M₁₆	—	4	1	no	—
1450	M₁₆	—	14	2	no	—
1451	M₁₆	—	28	1	no	—
1452	M₁₆	—	28	1	no	—
1453	M₁₆	—	28	1	no	—
1454	M₁₆	—	28	1	no	—
1455	M₁₆	—	28	1	no	—
1456	M₁₆	—	28	1	no	—
1457	M₁₆	—	28	1	no	—
1458	M₁₆	—	28	1	no	—
1459	M₁₆	—	28	1	no	—
1460	C₂×C₈	—	2	2	no	—
1461	C₂×C₈	—	2	2	no	—
1462	C₂×C₈	—	4	1	no	—
1463	C₂×C₈	—	4	1	no	—
1464	C₂×C₈	—	4	1	no	—
1465	C₂×C₈	—	4	1	no	—
1466	C₂×C₈	—	7	1	no	—
1467	C₂×C₈	—	7	1	no	—
1468	C₂×C₈	—	7	1	no	—
1469	C₂×C₈	—	7	1	no	—
1470	C₂×C₈	—	7	1	no	—
1471	C₂×C₈	—	7	1	no	—
1472	C₂×C₈	—	7	1	no	—
1473	C₂×C₈	—	7	1	no	—
1474	C₂×C₈	—	14	2	no	—
1475	C₂×C₈	—	14	2	no	—
1476	C₂×C₈	—	14	2	no	—
1477	C₂×C₈	—	28	1	no	—
1478	C₂×C₈	—	28	1	no	—
1479	C₂×C₈	—	28	1	no	—
1480	C₂×C₈	—	28	1	no	—
1481	C₂×C₈	—	28	1	no	—
1482	C₂×C₈	—	28	1	no	—
1483	C₂×C₈	—	28	1	no	—
1484	C₂×C₈	—	28	1	no	—
1485	C₂×C₈	—	28	1	no	—
1486	C₂×C₈	—	28	1	no	—
1487	C₂×C₈	—	28	1	no	—
1488	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1489	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1490	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1491	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1492	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1493	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1494	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1495	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1496	C₄⋊C₄	—	7	1	no	—
1497	C₄⋊C₄	—	7	1	no	—
1498	C₄⋊C₄	—	7	1	no	—
1499	C₄⋊C₄	—	7	1	no	—
1500	C₄⋊C₄	—	7	1	no	—
1501	C₄⋊C₄	—	7	1	no	—
1502	C₄⋊C₄	—	7	1	no	—
1503	C₄⋊C₄	—	7	1	no	—
1504	C₄⋊C₄	—	7	1	no	—
1505	C₄⋊C₄	—	7	1	no	—
1506	C₄⋊C₄	—	7	1	no	—
1507	C₄⋊C₄	—	7	1	no	—
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	C₂×C₄×D₇	1	1	yes	characteristic
1523	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1524	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1525	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1526	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1527	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1528	C₂²⋊C₄	—	7	1	no	—
1529	C₂²⋊C₄	—	7	1	no	—
1530	C₂²⋊C₄	—	7	1	no	—
1531	C₂²⋊C₄	—	7	1	no	—
1532	C₂²⋊C₄	—	7	1	no	—
1533	C₂²⋊C₄	—	7	1	no	—
1534	C₂²⋊C₄	—	7	1	no	—
1535	C₂²⋊C₄	—	7	1	no	—
1536	C₂²⋊C₄	—	7	1	no	—
1537	C₂²⋊C₄	—	7	1	no	—
1538	C₂²⋊C₄	—	7	1	no	—
1539	C₂²⋊C₄	—	7	1	no	—
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	C₂×C₄×D₇	1	1	yes	characteristic
1563	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1564	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1565	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1566	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1567	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1568	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1569	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1570	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1571	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1572	C₄²	—	7	1	no	—
1573	C₄²	—	7	1	no	—
1574	C₄²	—	7	1	no	—
1575	C₄²	—	7	1	no	—
1576	C₄²	—	7	1	no	—
1577	C₄²	—	7	1	no	—
1578	C₄²	—	7	1	no	—
1579	C₄²	—	7	1	no	—
1580	C₄²	—	7	1	no	—
1581	C₄²	—	7	1	no	—
1582	C₄²	—	7	1	no	—
1583	C₄²	—	7	1	no	—
1584	C₄²	—	7	1	no	—
1585	C₄²	—	7	1	no	—
1586	C₄²	C₂³×D₇	1	1	yes	characteristic
1587	C₄²	C₂³×D₇	1	1	yes	characteristic
1588	C₂×C₇	—	2	2	no	—
1589	C₂×C₇	—	4	1	no	—
1590	C₂×C₇	—	4	1	no	—
1591	C₂×C₇	—	4	1	no	—
1592	C₂×C₇	—	4	1	no	—
1593	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1594	C₂×C₇	C₂×#568	1	1	yes	characteristic
1595	C₂×C₇	#3573	1	1	yes	characteristic
1596	D₇	—	4	1	no	—
1597	D₇	—	4	1	no	—
1598	D₇	—	4	1	no	—
1599	D₇	—	4	1	no	—
1600	C₂³	—	2	2	no	—
1601	C₂³	—	4	1	no	—
1602	C₂³	—	4	1	no	—
1603	C₂³	—	7	1	no	—
1604	C₂³	—	7	1	no	—
1605	C₂³	—	7	1	no	—
1606	C₂³	—	7	1	no	—
1607	C₂³	—	14	2	no	—
1608	C₂³	—	28	1	no	—
1609	C₂³	—	28	1	no	—
1610	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1611	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1612	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1613	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1614	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1615	Q₈	—	4	1	no	—
1616	Q₈	—	28	1	no	—
1617	Q₈	—	28	1	no	—
1618	Q₈	—	28	1	no	—
1619	Q₈	—	28	1	no	—
1620	Q₈	—	28	1	no	—
1621	D₄	—	2	2	no	—
1622	D₄	—	2	2	no	—
1623	D₄	—	4	1	no	—
1624	D₄	—	4	1	no	—
1625	D₄	—	4	1	no	—
1626	D₄	—	4	1	no	—
1627	D₄	—	4	1	no	—
1628	D₄	—	14	2	no	—
1629	D₄	—	14	2	no	—
1630	D₄	—	28	1	no	—
1631	D₄	—	28	1	no	—
1632	D₄	—	28	1	no	—
1633	D₄	—	28	1	no	—
1634	D₄	—	28	1	no	—
1635	D₄	—	28	1	no	—
1636	D₄	—	28	1	no	—
1637	D₄	—	28	1	no	—
1638	D₄	—	28	1	no	—
1639	D₄	—	28	1	no	—
1640	D₄	—	28	1	no	—
1641	D₄	—	28	1	no	—
1642	D₄	—	28	1	no	—
1643	D₄	—	28	1	no	—
1644	D₄	—	28	1	no	—
1645	D₄	—	28	1	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	C₂×C₄	—	2	1	no	—
1652	C₂×C₄	—	2	1	no	—
1653	C₂×C₄	—	2	1	no	—
1654	C₂×C₄	—	2	1	no	—
1655	C₂×C₄	—	2	1	no	—
1656	C₂×C₄	—	2	1	no	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	4	1	no	—
1662	C₂×C₄	—	4	1	no	—
1663	C₂×C₄	—	4	1	no	—
1664	C₂×C₄	—	7	1	no	—
1665	C₂×C₄	—	7	1	no	—
1666	C₂×C₄	—	7	1	no	—
1667	C₂×C₄	—	7	1	no	—
1668	C₂×C₄	—	7	1	no	—
1669	C₂×C₄	—	7	1	no	—
1670	C₂×C₄	—	7	1	no	—
1671	C₂×C₄	—	7	1	no	—
1672	C₂×C₄	—	7	1	no	—
1673	C₂×C₄	—	7	1	no	—
1674	C₂×C₄	—	7	1	no	—
1675	C₂×C₄	—	7	1	no	—
1676	C₂×C₄	—	14	2	no	—
1677	C₂×C₄	—	14	1	no	—
1678	C₂×C₄	—	14	1	no	—
1679	C₂×C₄	—	14	1	no	—
1680	C₂×C₄	—	14	1	no	—
1681	C₂×C₄	—	14	1	no	—
1682	C₂×C₄	—	14	1	no	—
1683	C₂×C₄	—	14	1	no	—
1684	C₂×C₄	—	14	1	no	—
1685	C₂×C₄	—	28	1	no	—
1686	C₂×C₄	—	28	1	no	—
1687	C₂×C₄	—	28	1	no	—
1688	C₂×C₄	—	28	1	no	—
1689	C₂×C₄	—	28	1	no	—
1690	C₂×C₄	—	28	1	no	—
1691	C₂×C₄	—	28	1	no	—
1692	C₂×C₄	—	28	1	no	—
1693	C₂×C₄	—	28	1	no	—
1694	C₂×C₄	—	28	1	no	—
1695	C₂×C₄	—	28	1	no	—
1696	C₂×C₄	—	28	1	no	—
1697	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1698	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1699	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1700	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1701	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1702	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1703	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1704	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1705	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1706	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1707	C₈	—	2	1	no	—
1708	C₈	—	2	1	no	—
1709	C₈	—	2	1	no	—
1710	C₈	—	2	1	no	—
1711	C₈	—	2	1	no	—
1712	C₈	—	2	1	no	—
1713	C₈	—	2	1	no	—
1714	C₈	—	14	1	no	—
1715	C₈	—	14	1	no	—
1716	C₈	—	14	1	no	—
1717	C₈	—	14	1	no	—
1718	C₈	—	14	1	no	—
1719	C₈	—	14	1	no	—
1720	C₈	—	14	1	no	—
1721	C₈	—	14	1	no	—
1722	C₈	#6548	1	2	yes	—
1723	C₇	#60316	1	1	yes	characteristic, complemented, Sylow
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	1	no	—
1727	C₂²	—	2	1	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	2	1	no	—
1730	C₂²	—	2	1	no	—
1731	C₂²	—	2	1	no	—
1732	C₂²	—	2	1	no	—
1733	C₂²	—	2	1	no	—
1734	C₂²	—	2	1	no	—
1735	C₂²	—	2	1	no	—
1736	C₂²	—	2	1	no	—
1737	C₂²	—	2	1	no	—
1738	C₂²	—	8	2	no	—
1739	C₂²	—	14	1	no	—
1740	C₂²	—	14	1	no	—
1741	C₂²	—	14	1	no	—
1742	C₂²	—	14	1	no	—
1743	C₂²	—	14	1	no	—
1744	C₂²	—	14	1	no	—
1745	C₂²	—	14	1	no	—
1746	C₂²	—	14	1	no	—
1747	C₂²	—	14	1	no	—
1748	C₂²	—	14	1	no	—
1749	C₂²	—	14	1	no	—
1750	C₂²	—	14	1	no	—
1751	C₂²	—	28	4	no	—
1752	C₂²	#90441	1	2	yes	—
1753	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	2	1	no	—
1762	C₄	—	2	1	no	—
1763	C₄	—	14	1	no	—
1764	C₄	—	14	1	no	—
1765	C₄	—	14	1	no	—
1766	C₄	—	14	1	no	—
1767	C₄	—	14	1	no	—
1768	C₄	—	14	1	no	—
1769	C₄	—	14	1	no	—
1770	C₄	—	14	1	no	—
1771	C₄	—	14	1	no	—
1772	C₄	—	14	1	no	—
1773	C₄	—	14	1	no	—
1774	C₄	—	14	1	no	—
1775	C₄	C₂×#6548	1	1	yes	characteristic
1776	C₄	#90616	1	1	yes	characteristic
1777	C₂	—	2	2	no	—
1778	C₂	—	4	1	no	—
1779	C₂	—	4	1	no	—
1780	C₂	—	4	1	no	—
1781	C₂	—	4	1	no	—
1782	C₂	—	28	1	no	—
1783	C₂	—	28	1	no	—
1784	C₂	—	28	1	no	—
1785	C₂	—	28	1	no	—
1786	C₂	C₄×#6548	1	1	yes	characteristic
1787	C₂	C₂×#90441	1	1	yes	characteristic
1788	C₂	#11744234	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2933	C₂
prime radical	#11743088	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2933	D₇
hypocenter	C₇	#60316
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2933

Complements

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

N	H ≅ G/N	type
2. C₇×#2933	C₂	semidirect
3. #11741233	C₂	semidirect
4. #11741232	C₂	semidirect
5. C₂×#89899	C₂	semidirect
6. #11741202	C₂	semidirect
7. #11740365	C₂	semidirect
8. #11736992	C₂	semidirect
9. #11736986	C₂	semidirect
10. #11736973	C₂	semidirect
11. #11736964	C₂	semidirect
12. #11736936	C₂	semidirect
13. #11736932	C₂	semidirect
14. #11736925	C₂	semidirect
15. #11736923	C₂	semidirect
16. #11736908	C₂	semidirect
17. #11736907	C₂	semidirect
18. #11736905	C₂	semidirect
19. #11736902	C₂	semidirect
20. #11736873	C₂	semidirect
21. #11736866	C₂	semidirect
22. #11736851	C₂	semidirect
23. #11736849	C₂	semidirect
24. #11736530	C₂	semidirect
25. #11736527	C₂	semidirect
26. #11736114	C₂	semidirect
27. #11736113	C₂	semidirect
28. #11736050	C₂	semidirect
29. #11736047	C₂	semidirect
30. #11736003	C₂	semidirect
31. #11736002	C₂	semidirect
32. C₂×C₇×#131	C₂²	semidirect
39. C₂×#6470	C₂²	semidirect
40. C₂×#6470	C₂²	semidirect
41. C₂×#6464	C₂²	semidirect
69. C₇×#436	C₂²	semidirect
70. C₇×#436	C₂²	semidirect
73. C₇×#435	C₂²	semidirect
74. C₇×#435	C₂²	semidirect
77. C₇×#424	C₂²	semidirect
78. C₇×#408	C₂²	semidirect
80. C₇×#405	C₂²	semidirect
81. #90006	C₂²	semidirect
82. #90006	C₂²	semidirect
85. #89901	C₂²	semidirect
86. #89901	C₂²	semidirect
87. #89900	C₂²	semidirect
88. #89900	C₂²	semidirect
89. #89900	C₂²	semidirect
98. #89899	C₂²	semidirect
99. #89899	C₂²	semidirect
100. #89899	C₂²	semidirect
101. #89899	C₂²	semidirect
102. #89899	C₂²	semidirect
103. #89894	C₂²	semidirect
104. #89891	C₂²	semidirect
105. #89890	C₂²	semidirect
106. M₁₆×Dic₇	C₂²	semidirect
113. #89883	C₂²	semidirect
114. #89883	C₂²	semidirect
115. #89883	C₂²	semidirect
116. #89883	C₂²	semidirect
117. #89883	C₂²	semidirect
118. #89882	C₂²	semidirect
121. C₈×C₂²⋊D₇	C₂²	semidirect
122. C₈×C₂²⋊D₇	C₂²	semidirect
123. C₈×C₂²⋊D₇	C₂²	semidirect
126. C₂×#6389	C₂²	semidirect
128. C₂×Dic₇⋊C₈	C₂²	semidirect
131. #89783	C₂²	semidirect
132. #89783	C₂²	semidirect
135. D₄×C₇⋊C₈	C₂²	semidirect
136. D₄×C₇⋊C₈	C₂²	semidirect
137. #89772	C₂²	semidirect
138. #89772	C₂²	semidirect
139. #89612	C₂²	semidirect
140. #89612	C₂²	semidirect
141. #89611	C₂²	semidirect
142. #89611	C₂²	semidirect
143. #89610	C₂²	semidirect
144. #89609	C₂²	semidirect
145. #89608	C₂²	semidirect
146. #89608	C₂²	semidirect
147. #89607	C₂²	semidirect
148. #89607	C₂²	semidirect
149. #89606	C₂²	semidirect
150. D₇×C₄⋊C₈	C₂²	semidirect
151. #89603	C₂²	semidirect
152. #89603	C₂²	semidirect
153. #89600	C₂²	semidirect
154. #89600	C₂²	semidirect
161. #89502	C₂²	semidirect
162. #89502	C₂²	semidirect
163. #89502	C₂²	semidirect
164. #89501	C₂²	semidirect
165. #89500	C₂²	semidirect
166. #89500	C₂²	semidirect
167. #89500	C₂²	semidirect
168. #89499	C₂²	semidirect
169. #89499	C₂²	semidirect
170. #89499	C₂²	semidirect
171. #89499	C₂²	semidirect
172. #89499	C₂²	semidirect
173. #89499	C₂²	semidirect
178. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
179. #89492	C₂²	semidirect
180. #89492	C₂²	semidirect
183. #89491	C₂²	semidirect
184. #89491	C₂²	semidirect
185. #89491	C₂²	semidirect
186. #89490	C₂²	semidirect
187. #89481	C₂²	semidirect
188. #89480	C₂²	semidirect
189. #89478	C₂²	semidirect
190. #89478	C₂²	semidirect
191. #89477	C₂²	semidirect
192. D₇×#97	C₂²	semidirect
193. #89473	C₂²	semidirect
194. #89473	C₂²	semidirect
195. #89462	C₂²	semidirect
196. #89461	C₂²	semidirect
197. #89460	C₂²	semidirect
198. C₄×#1131	C₂²	semidirect
199. C₈×D₂₈	C₂²	semidirect
200. #89457	C₂²	semidirect
201. #89451	C₂²	semidirect
202. #89451	C₂²	semidirect
510. #2933	D₇	semidirect
741. C₂×#131	C₂×D₇	semidirect
789. #436	C₂×D₇	semidirect
790. #436	C₂×D₇	semidirect
837. #435	C₂×D₇	semidirect
838. #435	C₂×D₇	semidirect
876. #424	C₂×D₇	semidirect
893. #408	C₂×D₇	semidirect
903. #405	C₂×D₇	semidirect
1723. C₇	#60316	semidirect

Maximal subgroups

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

subgroup	index
#11743088	2
C₇×#2933	2
#11741233	2
#11741232	2
C₂×#89899	2
#11741202	2
#11740365	2
#11736992	2
#11736986	2
#11736973	2
#11736964	2
#11736936	2
#11736932	2
#11736925	2
#11736923	2
#11736908	2
#11736907	2
#11736905	2
#11736902	2
#11736873	2
#11736866	2
#11736851	2
#11736849	2
#11736530	2
#11736527	2
#11736114	2
#11736113	2
#11736050	2
#11736047	2
#11736003	2
#11736002	2
#60316	7