Subgroups — #14219752

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	#11743221	C₂	1	1	yes	maximal, characteristic
2	C₇×#2995	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740572	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737394	C₂	1	1	yes	maximal, characteristic, complemented
5	#11737390	C₂	1	1	yes	maximal, characteristic, complemented
6	#11737385	C₂	1	1	yes	maximal, characteristic, complemented
7	#11737383	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736990	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736988	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736984	C₂	1	1	yes	maximal, characteristic, complemented
11	D₇×#436	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736937	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736933	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736931	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736930	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736929	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736928	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736928	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736924	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736823	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736821	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736814	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736811	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736780	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736774	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736529	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736528	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736520	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736519	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736495	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736488	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#529	C₂²	1	1	yes	characteristic
33	C₂×#6470	C₂²	1	1	yes	characteristic, complemented
34	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic, complemented
37	C₂×#6464	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#1131	C₂²	1	1	yes	characteristic, complemented
39	#90400	C₄	1	1	yes	characteristic
40	#90400	C₄	1	1	yes	characteristic
41	#90396	C₄	1	1	yes	characteristic
42	#90396	C₄	1	1	yes	characteristic
43	#90386	C₄	1	1	yes	characteristic
44	#90381	C₄	1	1	yes	characteristic
45	#90372	C₄	1	1	yes	characteristic
46	#90367	C₄	1	1	yes	characteristic
47	#90349	C₄	1	1	yes	characteristic
48	#90349	C₄	1	1	yes	characteristic
49	#90345	C₄	1	1	yes	characteristic
50	#90345	C₄	1	1	yes	characteristic
51	#90326	C₄	1	1	yes	characteristic
52	#90321	C₄	1	1	yes	characteristic
53	#90309	C₄	1	1	yes	characteristic
54	#90300	C₄	1	1	yes	characteristic
55	#90271	C₂²	1	1	yes	characteristic
56	C₄×#1161	C₂²	1	1	yes	characteristic
57	#90239	C₂²	1	1	yes	characteristic
58	#90238	C₂²	1	1	yes	characteristic
59	#90238	C₂²	1	1	yes	characteristic
60	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
61	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
62	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
63	#90219	C₂²	1	1	yes	characteristic
64	#90219	C₂²	1	1	yes	characteristic
65	#90215	C₂²	1	1	yes	characteristic
66	#90215	C₂²	1	1	yes	characteristic
67	C₄×#1157	C₂²	1	1	yes	characteristic
68	C₂×C₄×D₂₈	C₂²	1	1	yes	characteristic
69	C₇×#446	C₂²	1	1	yes	characteristic, complemented
70	C₇×#446	C₂²	1	1	yes	characteristic, complemented
71	C₇×#436	C₂²	1	1	yes	characteristic, complemented
72	C₇×#436	C₂²	1	1	yes	characteristic, complemented
73	C₇×#435	C₂²	1	1	yes	characteristic, complemented
74	C₇×#435	C₂²	1	1	yes	characteristic, complemented
75	C₇×#435	C₂²	1	1	yes	characteristic, complemented
76	C₇×#435	C₂²	1	1	yes	characteristic, complemented
77	C₇×#433	C₂²	1	1	yes	characteristic, complemented
78	C₇×#433	C₂²	1	1	yes	characteristic, complemented
79	C₇×#432	C₂²	1	1	yes	characteristic, complemented
80	C₇×#424	C₂²	1	1	yes	characteristic, complemented
81	C₇×#424	C₂²	1	1	yes	characteristic, complemented
82	C₇×#423	C₂²	1	1	yes	characteristic, complemented
83	#89901	C₂²	1	1	yes	characteristic, complemented
84	#89900	C₂²	1	1	yes	characteristic
85	#89900	C₂²	1	1	yes	characteristic
86	#89900	C₂²	1	1	yes	characteristic, complemented
87	#89900	C₂²	1	1	yes	characteristic, complemented
88	#89900	C₂²	1	1	yes	characteristic, complemented
89	#89899	C₂²	1	1	yes	characteristic, complemented
90	#89899	C₂²	1	1	yes	characteristic, complemented
91	#89899	C₂²	1	1	yes	characteristic, complemented
92	#89898	C₂²	1	1	yes	characteristic, complemented
93	#89898	C₂²	1	1	yes	characteristic, complemented
94	#89898	C₂²	1	1	yes	characteristic, complemented
95	#89883	C₂²	1	1	yes	characteristic, complemented
96	#89882	C₂²	1	1	yes	characteristic, complemented
97	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
98	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
99	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
100	C₂×(C₂×D₇)⋊C₈	C₂²	1	1	yes	characteristic, complemented
101	#89796	C₂²	1	1	yes	characteristic, complemented
102	#89796	C₂²	1	1	yes	characteristic, complemented
103	#89784	C₂²	1	1	yes	characteristic, complemented
104	#89784	C₂²	1	1	yes	characteristic, complemented
105	#89783	C₂²	1	1	yes	characteristic, complemented
106	#89783	C₂²	1	1	yes	characteristic, complemented
107	#89783	C₂²	1	1	yes	characteristic, complemented
108	#89783	C₂²	1	1	yes	characteristic, complemented
109	#89772	C₂²	1	1	yes	characteristic, complemented
110	#89772	C₂²	1	1	yes	characteristic, complemented
111	#89769	C₂²	1	1	yes	characteristic, complemented
112	#89769	C₂²	1	1	yes	characteristic, complemented
113	#89698	C₂²	1	1	yes	characteristic, complemented
114	C₄×#1136	C₂²	1	1	yes	characteristic, complemented
115	#89612	C₂²	1	1	yes	characteristic, complemented
116	#89612	C₂²	1	1	yes	characteristic, complemented
117	#89611	C₂²	1	1	yes	characteristic, complemented
118	#89611	C₂²	1	1	yes	characteristic, complemented
119	#89610	C₂²	1	1	yes	characteristic, complemented
120	#89610	C₂²	1	1	yes	characteristic, complemented
121	#89610	C₂²	1	1	yes	characteristic, complemented
122	#89610	C₂²	1	1	yes	characteristic, complemented
123	#89610	C₂²	1	1	yes	characteristic, complemented
124	#89610	C₂²	1	1	yes	characteristic, complemented
125	#89610	C₂²	1	1	yes	characteristic, complemented
126	#89609	C₂²	1	1	yes	characteristic, complemented
127	#89609	C₂²	1	1	yes	characteristic, complemented
128	#89608	C₂²	1	1	yes	characteristic
129	#89608	C₂²	1	1	yes	characteristic
130	#89608	C₂²	1	1	yes	characteristic, complemented
131	#89608	C₂²	1	1	yes	characteristic, complemented
132	#89608	C₂²	1	1	yes	characteristic, complemented
133	#89608	C₂²	1	1	yes	characteristic, complemented
134	#89608	C₂²	1	1	yes	characteristic, complemented
135	#89608	C₂²	1	1	yes	characteristic, complemented
136	#89608	C₂²	1	1	yes	characteristic, complemented
137	#89608	C₂²	1	1	yes	characteristic, complemented
138	#89608	C₂²	1	1	yes	characteristic, complemented
139	#89608	C₂²	1	1	yes	characteristic, complemented
140	#89608	C₂²	1	1	yes	characteristic, complemented
141	#89608	C₂²	1	1	yes	characteristic, complemented
142	#89607	C₂²	1	1	yes	characteristic, complemented
143	#89606	C₂²	1	1	yes	characteristic, complemented
144	#89606	C₂²	1	1	yes	characteristic, complemented
145	#89606	C₂²	1	1	yes	characteristic, complemented
146	#89605	C₂²	1	1	yes	characteristic, complemented
147	#89605	C₂²	1	1	yes	characteristic, complemented
148	#89605	C₂²	1	1	yes	characteristic, complemented
149	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
150	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#89602	C₂²	1	1	yes	characteristic, complemented
152	#89602	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	#89501	C₂²	1	1	yes	characteristic
157	#89501	C₂²	1	1	yes	characteristic
158	#89501	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	#89500	C₂²	1	1	yes	characteristic, complemented
164	#89499	C₂²	1	1	yes	characteristic, complemented
165	#89499	C₂²	1	1	yes	characteristic, complemented
166	#89499	C₂²	1	1	yes	characteristic, complemented
167	#89499	C₂²	1	1	yes	characteristic, complemented
168	#89498	C₂²	1	1	yes	characteristic, complemented
169	#89498	C₂²	1	1	yes	characteristic, complemented
170	#89498	C₂²	1	1	yes	characteristic, complemented
171	#89498	C₂²	1	1	yes	characteristic, complemented
172	#89498	C₂²	1	1	yes	characteristic, complemented
173	(C₂²⋊D₇)⋊C₈	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	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	#89481	C₂²	1	1	yes	characteristic, complemented
180	#89480	C₂²	1	1	yes	characteristic, complemented
181	#89479	C₂²	1	1	yes	characteristic, complemented
182	#89479	C₂²	1	1	yes	characteristic, complemented
183	#89479	C₂²	1	1	yes	characteristic, complemented
184	#89478	C₂²	1	1	yes	characteristic
185	#89478	C₂²	1	1	yes	characteristic
186	#89478	C₂²	1	1	yes	characteristic, complemented
187	#89478	C₂²	1	1	yes	characteristic, complemented
188	#89478	C₂²	1	1	yes	characteristic, complemented
189	#89478	C₂²	1	1	yes	characteristic, complemented
190	#89478	C₂²	1	1	yes	characteristic, complemented
191	#89478	C₂²	1	1	yes	characteristic, complemented
192	#89477	C₂²	1	1	yes	characteristic, complemented
193	#89477	C₂²	1	1	yes	characteristic, complemented
194	#89477	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	#89460	C₂²	1	1	yes	characteristic, complemented
199	#89460	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
201	#89457	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₇	C₂²	1	1	yes	characteristic, complemented
203	#60324	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂×C₄	1	1	yes	characteristic
205	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
206	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
207	C₂×D₄×D₇	C₂×C₄	1	1	yes	characteristic
208	C₂×#1157	C₂×C₄	1	1	yes	characteristic
209	C₂×#1157	C₂³	1	1	yes	characteristic
210	C₂×#1157	C₂³	1	1	yes	characteristic
211	C₂²×D₂₈	C₂×C₄	1	1	yes	characteristic
212	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₇	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	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	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
221	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
222	C₇×#126	C₂×C₄	1	1	yes	characteristic
223	C₇×#126	C₂×C₄	1	1	yes	characteristic
224	C₇×#125	C₂×C₄	1	1	yes	characteristic
225	C₇×#124	C₂×C₄	1	1	yes	characteristic
226	C₇×#123	C₂×C₄	1	1	yes	characteristic
227	C₇×#123	C₂×C₄	1	1	yes	characteristic
228	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
229	C₇×#121	C₂×C₄	1	1	yes	characteristic
230	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
234	C₇×#117	C₂³	1	1	yes	characteristic
235	C₇×#117	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
237	#6510	C₂×C₄	1	1	yes	characteristic
238	#6509	C₂×C₄	1	1	yes	characteristic
239	Q₈×Dic₇	C₂×C₄	1	1	yes	characteristic
240	#6503	C₂×C₄	1	1	yes	characteristic
241	#6502	C₂×C₄	1	1	yes	characteristic
242	#6502	C₂×C₄	1	1	yes	characteristic
243	#6501	C₂×C₄	1	1	yes	characteristic
244	#6500	C₂×C₄	1	1	yes	characteristic
245	#6500	C₂×C₄	1	1	yes	characteristic
246	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
247	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
248	D₄×Dic₇	C₂×C₄	1	1	yes	characteristic
249	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
250	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
251	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
252	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
253	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
254	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
255	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
256	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
258	C₂×(C₂×D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
259	#6489	C₂×C₄	1	1	yes	characteristic
260	C₂×C₄⋊Dic₇	C₂×C₄	1	1	yes	characteristic
261	C₂×#1136	C₂³	1	1	yes	characteristic
262	C₂×#1136	C₂³	1	1	yes	characteristic
263	C₂×#1136	C₂³	1	1	yes	characteristic
264	C₂×#1136	C₂³	1	1	yes	characteristic
265	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
266	C₂²×C₇⋊C₈	C₂³	1	1	yes	characteristic
267	#6470	—	4	2	no	—
268	D₇×M₁₆	—	4	2	no	—
269	D₇×M₁₆	—	4	2	no	—
270	D₇×M₁₆	—	4	2	no	—
271	#6464	—	4	2	no	—
272	C₂×#1131	—	4	2	no	—
273	C₂×#1131	C₂³	1	1	yes	characteristic
274	C₂×#1131	C₂³	1	1	yes	characteristic
275	C₂×#1131	C₂³	1	1	yes	characteristic
276	C₂×#1131	C₂³	1	1	yes	characteristic
277	C₂×#1131	C₂³	1	1	yes	characteristic
278	C₂×#1131	C₂³	1	1	yes	characteristic
279	C₂×#1131	C₂³	1	1	yes	characteristic
280	C₂×#1131	C₂³	1	1	yes	characteristic
281	C₂×#1131	C₂³	1	1	yes	characteristic
282	C₂×#1131	C₂³	1	1	yes	characteristic
283	C₂×#1131	C₂³	1	1	yes	characteristic
284	C₂×#1131	C₂³	1	1	yes	characteristic
285	C₂×#1131	C₂³	1	1	yes	characteristic
286	C₂×#1131	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
295	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
297	#6461	C₂×C₄	1	1	yes	characteristic
298	#6461	C₂×C₄	1	1	yes	characteristic
299	#6461	C₂×C₄	1	1	yes	characteristic
300	#6461	C₂×C₄	1	1	yes	characteristic
301	#6460	C₂×C₄	1	1	yes	characteristic
302	#6460	C₂×C₄	1	1	yes	characteristic
303	#6460	C₂×C₄	1	1	yes	characteristic
304	#6460	C₂×C₄	1	1	yes	characteristic
305	#6459	C₂×C₄	1	1	yes	characteristic
306	#6459	C₂×C₄	1	1	yes	characteristic
307	#6459	C₂×C₄	1	1	yes	characteristic
308	#6459	C₂×C₄	1	1	yes	characteristic
309	#6458	C₂×C₄	1	1	yes	characteristic
310	#6458	C₂×C₄	1	1	yes	characteristic
311	#6458	C₂×C₄	1	1	yes	characteristic
312	#6458	C₂×C₄	1	1	yes	characteristic
313	#6458	C₂×C₄	1	1	yes	characteristic
314	#6458	C₂×C₄	1	1	yes	characteristic
315	#6457	C₂×C₄	1	1	yes	characteristic
316	#6457	C₂×C₄	1	1	yes	characteristic
317	#6457	C₂×C₄	1	1	yes	characteristic
318	#6457	C₂×C₄	1	1	yes	characteristic
319	#6457	C₂×C₄	1	1	yes	characteristic
320	#6457	C₂×C₄	1	1	yes	characteristic
321	#6456	C₂×C₄	1	1	yes	characteristic
322	#6456	C₂×C₄	1	1	yes	characteristic
323	#6456	C₂×C₄	1	1	yes	characteristic
324	#6456	C₂×C₄	1	1	yes	characteristic
325	#6456	C₂×C₄	1	1	yes	characteristic
326	#6456	C₂×C₄	1	1	yes	characteristic
327	#6455	C₂×C₄	1	1	yes	characteristic
328	#6455	C₂×C₄	1	1	yes	characteristic
329	#6455	C₂×C₄	1	1	yes	characteristic
330	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
331	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
332	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
333	#6453	C₂×C₄	1	1	yes	characteristic
334	#6452	C₂×C₄	1	1	yes	characteristic
335	#6452	C₂×C₄	1	1	yes	characteristic
336	#6451	C₂×C₄	1	1	yes	characteristic
337	#6449	C₂×C₄	1	1	yes	characteristic
338	#6449	C₂×C₄	1	1	yes	characteristic
339	#6449	C₂×C₄	1	1	yes	characteristic
340	#6449	C₂×C₄	1	1	yes	characteristic
341	#6448	C₂×C₄	1	1	yes	characteristic
342	#6448	C₂×C₄	1	1	yes	characteristic
343	#6448	C₂×C₄	1	1	yes	characteristic
344	#6448	C₂×C₄	1	1	yes	characteristic
345	#6447	C₂×C₄	1	1	yes	characteristic
346	#6447	C₂×C₄	1	1	yes	characteristic
347	#6447	C₂×C₄	1	1	yes	characteristic
348	#6447	C₂×C₄	1	1	yes	characteristic
349	#6447	C₂×C₄	1	1	yes	characteristic
350	#6447	C₂×C₄	1	1	yes	characteristic
351	#6446	C₂×C₄	1	1	yes	characteristic
352	#6446	C₂×C₄	1	1	yes	characteristic
353	#6446	C₂×C₄	1	1	yes	characteristic
354	#6446	C₂×C₄	1	1	yes	characteristic
355	#6445	C₂×C₄	1	1	yes	characteristic
356	#6445	C₂×C₄	1	1	yes	characteristic
357	#6445	C₂×C₄	1	1	yes	characteristic
358	#6445	C₂×C₄	1	1	yes	characteristic
359	#6445	C₂×C₄	1	1	yes	characteristic
360	#6445	C₂×C₄	1	1	yes	characteristic
361	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
362	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
363	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
364	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
365	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
366	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
367	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
368	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
369	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
370	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
371	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
372	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
373	#6442	C₂×C₄	1	1	yes	characteristic
374	#6442	C₂×C₄	1	1	yes	characteristic
375	#6441	C₂×C₄	1	1	yes	characteristic
376	#6441	C₂×C₄	1	1	yes	characteristic
377	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
378	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
379	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
380	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
381	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
382	C₄×D₂₈	C₂³	1	1	yes	characteristic
383	C₄×D₂₈	C₂³	1	1	yes	characteristic
384	C₄×D₂₈	C₂³	1	1	yes	characteristic
385	C₄×D₂₈	C₂³	1	1	yes	characteristic
386	C₄×D₂₈	C₂³	1	1	yes	characteristic
387	C₄×D₂₈	C₂³	1	1	yes	characteristic
388	C₄×D₂₈	C₂³	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	C₄²×D₇	C₂³	1	1	yes	characteristic
398	C₄²×D₇	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₄	C₂×C₄	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₄⋊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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
414	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
415	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₇×#97	C₂³	1	1	yes	characteristic
418	C₇×#97	C₂³	1	1	yes	characteristic
419	C₇×#97	C₂³	1	1	yes	characteristic
420	C₇×#97	C₂³	1	1	yes	characteristic
421	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
422	C₄×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	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
446	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
447	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
448	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
449	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
450	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
451	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
452	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
453	#6389	C₂³	1	1	yes	characteristic
454	#6389	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	C₈×Dic₇	C₂³	1	1	yes	characteristic
464	C₈×Dic₇	C₂³	1	1	yes	characteristic
465	C₈×Dic₇	C₂³	1	1	yes	characteristic
466	C₈×Dic₇	C₂³	1	1	yes	characteristic
467	C₈×Dic₇	C₂³	1	1	yes	characteristic
468	C₈×Dic₇	C₂³	1	1	yes	characteristic
469	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
470	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
471	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
472	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
473	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	#6377	C₂³	1	1	yes	characteristic
476	#6377	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	#6377	C₂³	1	1	yes	characteristic
479	#6377	C₂³	1	1	yes	characteristic
480	#6377	C₂³	1	1	yes	characteristic
481	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
482	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
483	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
484	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
485	#3481	—	7	1	no	—
486	#2995	—	7	1	no	—
487	#2995	D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
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	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
517	C₂³×D₇	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×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	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
525	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
526	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
529	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
539	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
540	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
541	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
542	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
543	#1161	—	4	2	no	—
544	D₄×D₇	—	4	2	no	—
545	D₄×D₇	—	4	2	no	—
546	D₄×D₇	—	4	2	no	—
547	#1157	—	4	2	no	—
548	#1157	—	4	1	no	—
549	#1157	—	4	1	no	—
550	#1157	—	4	1	no	—
551	#1157	—	4	1	no	—
552	C₂×D₂₈	—	4	2	no	—
553	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
554	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
555	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
556	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
557	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
558	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
559	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
560	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
561	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
562	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
563	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄×D₇	—	4	1	no	—
565	C₂×C₄×D₇	—	4	1	no	—
566	C₂×C₄×D₇	—	4	1	no	—
567	C₂×C₄×D₇	—	4	1	no	—
568	C₂×C₄×D₇	—	4	1	no	—
569	C₂×C₄×D₇	—	4	1	no	—
570	C₂×C₄×D₇	—	4	1	no	—
571	C₂×C₄×D₇	—	4	1	no	—
572	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
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	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	C₂⁴	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×C₄×D₇	C₂⁴	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	—	4	1	no	—
598	C₇×M₁₆	—	4	1	no	—
599	C₇×M₁₆	—	4	1	no	—
600	C₇×M₁₆	—	4	1	no	—
601	C₂×C₇×C₈	—	4	1	no	—
602	C₂×C₇×C₈	—	4	1	no	—
603	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
604	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
605	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
612	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
613	C₇×C₄⋊C₄	C₂²×C₄	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×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	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
632	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
633	C₄²×C₇	C₂⁴	1	1	yes	characteristic
634	C₄²×C₇	C₂⁴	1	1	yes	characteristic
635	C₄²×C₇	C₂⁴	1	1	yes	characteristic
636	C₄²×C₇	C₂⁴	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	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
644	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
645	(C₂×D₇)⋊C₄	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	(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	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	(C₂×D₇)⋊C₄	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	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
680	C₄⋊Dic₇	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	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	C₂⁴	1	1	yes	characteristic
702	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
703	#1136	—	2	2	no	—
704	#1136	—	2	2	no	—
705	#1136	—	4	1	no	—
706	#1136	—	4	1	no	—
707	C₂×C₇⋊C₈	—	2	2	no	—
708	C₂×C₇⋊C₈	—	4	1	no	—
709	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
710	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
711	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
712	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
713	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
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	#1131	—	2	2	no	—
718	#1131	—	2	2	no	—
719	#1131	—	2	2	no	—
720	#1131	—	2	2	no	—
721	#1131	—	4	1	no	—
722	#1131	—	4	1	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	#1131	—	4	1	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	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	—	7	1	no	—
746	C₂²×M₁₆	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
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	—	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	C₂×D₇	1	1	yes	characteristic, complemented
783	#446	C₂×D₇	1	1	yes	characteristic, complemented
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, complemented
845	#435	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
857	C₈×D₄	—	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	#433	—	7	1	no	—
864	#433	C₂×D₇	1	1	yes	characteristic, complemented
865	#433	C₂×D₇	1	1	yes	characteristic, complemented
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	C₂×D₇	1	1	yes	characteristic, complemented
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	C₂×D₇	1	1	yes	characteristic, complemented
879	#424	C₂×D₇	1	1	yes	characteristic, complemented
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	—	7	1	no	—
898	#407	—	7	1	no	—
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	—	7	1	no	—
911	C₂×C₄×C₈	—	7	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	C₂²×D₇	—	2	2	no	—
916	C₂²×D₇	—	2	2	no	—
917	C₂²×D₇	—	4	1	no	—
918	C₂²×D₇	—	4	1	no	—
919	C₂²×D₇	—	4	1	no	—
920	C₂²×D₇	—	4	1	no	—
921	C₂²×D₇	—	4	1	no	—
922	C₂²×D₇	—	4	1	no	—
923	C₂²×D₇	—	4	1	no	—
924	C₂²×D₇	—	4	1	no	—
925	C₂²×D₇	—	4	1	no	—
926	C₂²×D₇	—	4	1	no	—
927	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
928	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
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×Q₈	—	4	1	no	—
934	C₇×D₄	—	4	1	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	—	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	C₂³×C₄	1	1	yes	characteristic
955	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
956	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
957	C₂²⋊D₇	—	2	2	no	—
958	C₂²⋊D₇	—	2	2	no	—
959	C₂²⋊D₇	—	2	2	no	—
960	C₂²⋊D₇	—	2	2	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	C₂×Dic₇	—	4	1	no	—
968	C₂×Dic₇	—	4	1	no	—
969	C₂×Dic₇	—	4	1	no	—
970	C₂×Dic₇	—	4	1	no	—
971	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
972	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
973	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
974	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
975	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
976	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
977	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
978	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
979	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
980	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
981	D₂₈	—	2	2	no	—
982	D₂₈	—	2	2	no	—
983	D₂₈	—	2	2	no	—
984	D₂₈	—	4	1	no	—
985	D₂₈	—	4	1	no	—
986	D₂₈	—	4	1	no	—
987	D₂₈	—	4	1	no	—
988	D₂₈	—	4	1	no	—
989	D₂₈	—	4	1	no	—
990	D₂₈	—	4	1	no	—
991	D₂₈	—	4	1	no	—
992	C₄×D₇	—	2	2	no	—
993	C₄×D₇	—	2	1	no	—
994	C₄×D₇	—	2	1	no	—
995	C₄×D₇	—	2	1	no	—
996	C₄×D₇	—	2	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	—	2	2	no	—
1006	C₄×D₇	—	2	2	no	—
1007	C₄×D₇	—	2	2	no	—
1008	C₄×D₇	—	4	1	no	—
1009	C₄×D₇	—	4	1	no	—
1010	C₄×D₇	—	4	1	no	—
1011	C₄×D₇	—	4	1	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	C₄×D₇	—	4	1	no	—
1020	Dic₁₄	—	2	2	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	—	2	1	no	—
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	H(5,𝔽₂)	1	2	yes	—
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	—	7	1	no	—
1047	C₂³×C₄	—	7	1	no	—
1048	C₂³×C₄	—	7	1	no	—
1049	C₂³×C₄	—	7	1	no	—
1050	C₂³×C₄	—	7	1	no	—
1051	#131	—	28	2	no	—
1052	#131	—	28	2	no	—
1053	C₂×M₁₆	—	7	1	no	—
1054	C₂×M₁₆	—	7	1	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	—	7	1	no	—
1070	C₂×M₁₆	—	7	1	no	—
1071	C₂×M₁₆	—	28	2	no	—
1072	C₂×M₁₆	—	28	2	no	—
1073	C₂×M₁₆	—	28	2	no	—
1074	C₂×M₁₆	—	28	2	no	—
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	—	7	1	no	—
1090	C₂²×C₈	—	7	1	no	—
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	C₄×D₇	1	1	yes	characteristic
1102	#126	C₄×D₇	1	1	yes	characteristic
1103	#125	—	7	1	no	—
1104	#125	—	7	1	no	—
1105	#125	—	7	1	no	—
1106	#125	C₄×D₇	1	1	yes	characteristic
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	C₄×D₇	1	1	yes	characteristic
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	C₄×D₇	1	1	yes	characteristic
1128	#123	C₄×D₇	1	1	yes	characteristic
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	C₄×D₇	1	1	yes	characteristic
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	C₄×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
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	—	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	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	C₂²×D₇	1	1	yes	characteristic
1218	#117	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
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	—	7	1	no	—
1230	C₂×C₂²⋊C₄	—	7	1	no	—
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	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	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1254	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1255	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1289	C₂²⋊C₈	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1305	#97	C₂²×D₇	1	1	yes	characteristic
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	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	—	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	—	8	2	no	—
1348	C₂×D₇	—	8	2	no	—
1349	C₂×D₇	—	8	2	no	—
1350	C₂×D₇	—	8	2	no	—
1351	C₂×D₇	#568	1	2	yes	—
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	—	2	1	no	—
1362	C₄×C₇	—	2	1	no	—
1363	C₄×C₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1364	C₄×C₇	#585	1	1	yes	characteristic
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	—	7	1	no	—
1378	C₂⁴	—	7	1	no	—
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	C₂×C₄×D₇	1	1	yes	characteristic
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	—	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	—	28	2	no	—
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	—	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	—	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	—	7	1	no	—
1440	C₂²×C₄	—	7	1	no	—
1441	C₂²×C₄	—	7	1	no	—
1442	C₂²×C₄	—	7	1	no	—
1443	C₂²×C₄	—	28	1	no	—
1444	C₂²×C₄	—	28	1	no	—
1445	C₂²×C₄	—	28	1	no	—
1446	C₂²×C₄	—	28	1	no	—
1447	C₂²×C₄	—	28	1	no	—
1448	C₂²×C₄	—	28	1	no	—
1449	C₂²×C₄	—	28	1	no	—
1450	C₂²×C₄	—	28	1	no	—
1451	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1452	C₂²×C₄	C₂×C₄×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	—	4	1	no	—
1457	M₁₆	—	4	1	no	—
1458	M₁₆	—	4	1	no	—
1459	M₁₆	—	4	1	no	—
1460	M₁₆	—	14	2	no	—
1461	M₁₆	—	14	2	no	—
1462	M₁₆	—	14	2	no	—
1463	M₁₆	—	14	2	no	—
1464	M₁₆	—	14	2	no	—
1465	M₁₆	—	14	2	no	—
1466	M₁₆	—	28	1	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	—	4	1	no	—
1479	C₂×C₈	—	4	1	no	—
1480	C₂×C₈	—	7	1	no	—
1481	C₂×C₈	—	7	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	—	14	2	no	—
1489	C₂×C₈	—	14	2	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	C₂×C₄×D₇	1	1	yes	characteristic
1531	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1532	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1533	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1534	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1535	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
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	C₂×C₄×D₇	1	1	yes	characteristic
1575	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
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	C₂×C₄×D₇	1	1	yes	characteristic
1595	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1596	C₄²	C₂³×D₇	1	1	yes	characteristic
1597	C₄²	C₂³×D₇	1	1	yes	characteristic
1598	C₄²	C₂³×D₇	1	1	yes	characteristic
1599	C₄²	C₂³×D₇	1	1	yes	characteristic
1600	C₂×C₇	—	4	1	no	—
1601	C₂×C₇	—	4	1	no	—
1602	C₂×C₇	—	4	1	no	—
1603	C₂×C₇	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1604	C₂×C₇	C₂×#568	1	1	yes	characteristic
1605	C₂×C₇	C₂×#568	1	1	yes	characteristic
1606	D₇	—	2	2	no	—
1607	D₇	—	4	1	no	—
1608	D₇	—	4	1	no	—
1609	D₇	—	4	1	no	—
1610	D₇	—	4	1	no	—
1611	D₇	—	4	1	no	—
1612	C₂³	—	7	1	no	—
1613	C₂³	—	7	1	no	—
1614	C₂³	—	7	1	no	—
1615	C₂³	—	7	1	no	—
1616	C₂³	—	7	1	no	—
1617	C₂³	—	7	1	no	—
1618	C₂³	—	14	2	no	—
1619	C₂³	—	14	2	no	—
1620	C₂³	—	28	1	no	—
1621	C₂³	—	28	1	no	—
1622	C₂³	—	28	1	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	—	28	1	no	—
1629	C₂³	—	28	1	no	—
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	—	4	1	no	—
1634	Q₈	—	14	2	no	—
1635	Q₈	—	28	1	no	—
1636	Q₈	—	28	1	no	—
1637	D₄	—	4	1	no	—
1638	D₄	—	4	1	no	—
1639	D₄	—	4	1	no	—
1640	D₄	—	14	2	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	—	14	2	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	—	4	1	no	—
1668	C₂×C₄	—	4	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	—	7	1	no	—
1677	C₂×C₄	—	7	1	no	—
1678	C₂×C₄	—	7	1	no	—
1679	C₂×C₄	—	14	2	no	—
1680	C₂×C₄	—	14	2	no	—
1681	C₂×C₄	—	14	2	no	—
1682	C₂×C₄	—	14	2	no	—
1683	C₂×C₄	—	14	1	no	—
1684	C₂×C₄	—	14	1	no	—
1685	C₂×C₄	—	14	1	no	—
1686	C₂×C₄	—	14	1	no	—
1687	C₂×C₄	—	14	1	no	—
1688	C₂×C₄	—	14	1	no	—
1689	C₂×C₄	—	14	1	no	—
1690	C₂×C₄	—	14	1	no	—
1691	C₂×C₄	—	14	1	no	—
1692	C₂×C₄	—	14	1	no	—
1693	C₂×C₄	—	14	1	no	—
1694	C₂×C₄	—	14	1	no	—
1695	C₂×C₄	—	28	1	no	—
1696	C₂×C₄	—	28	1	no	—
1697	C₂×C₄	—	28	1	no	—
1698	C₂×C₄	—	28	1	no	—
1699	C₂×C₄	—	28	1	no	—
1700	C₂×C₄	—	28	1	no	—
1701	C₂×C₄	—	28	1	no	—
1702	C₂×C₄	—	28	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	C₂²×C₄×D₇	1	1	yes	characteristic
1712	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
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	—	2	1	no	—
1731	C₈	—	7	2	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	—	14	1	no	—
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	—	7	2	no	—
1750	C₂²	—	14	1	no	—
1751	C₂²	—	14	1	no	—
1752	C₂²	—	14	1	no	—
1753	C₂²	—	14	1	no	—
1754	C₂²	—	14	1	no	—
1755	C₂²	—	14	1	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	—	56	2	no	—
1768	C₂²	—	56	2	no	—
1769	C₂²	—	56	2	no	—
1770	C₂²	—	56	2	no	—
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	—	2	1	no	—
1782	C₄	—	2	1	no	—
1783	C₄	—	7	2	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	D₇×H(5,𝔽₂)	1	1	yes	characteristic
1794	C₄	#90620	1	1	yes	characteristic
1795	C₂	—	4	1	no	—
1796	C₂	—	4	1	no	—
1797	C₂	—	4	1	no	—
1798	C₂	—	14	2	no	—
1799	C₂	—	28	1	no	—
1800	C₂	—	28	1	no	—
1801	C₂	—	28	1	no	—
1802	C₂	—	28	1	no	—
1803	C₂	—	28	1	no	—
1804	C₂	#11742954	1	1	yes	characteristic
1805	C₂	D₇×#568	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×#2995	C₂
prime radical	#11743221	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2995	D₇
hypocenter	C₇	#60324
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2995

Complements

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

N	H ≅ G/N	type
2. C₇×#2995	C₂	semidirect
3. #11740572	C₂	semidirect
4. #11737394	C₂	semidirect
5. #11737390	C₂	semidirect
6. #11737385	C₂	semidirect
7. #11737383	C₂	semidirect
8. #11736990	C₂	semidirect
9. #11736988	C₂	semidirect
10. #11736984	C₂	semidirect
11. D₇×#436	C₂	semidirect
12. #11736937	C₂	semidirect
13. #11736933	C₂	semidirect
14. #11736931	C₂	semidirect
15. #11736930	C₂	semidirect
16. #11736929	C₂	semidirect
17. #11736928	C₂	semidirect
18. #11736928	C₂	semidirect
19. #11736924	C₂	semidirect
20. #11736823	C₂	semidirect
21. #11736821	C₂	semidirect
22. #11736814	C₂	semidirect
23. #11736811	C₂	semidirect
24. #11736780	C₂	semidirect
25. #11736774	C₂	semidirect
26. #11736529	C₂	semidirect
27. #11736528	C₂	semidirect
28. #11736520	C₂	semidirect
29. #11736519	C₂	semidirect
30. #11736495	C₂	semidirect
31. #11736488	C₂	semidirect
33. C₂×#6470	C₂²	semidirect
34. C₂×D₇×M₁₆	C₂²	semidirect
35. C₂×D₇×M₁₆	C₂²	semidirect
36. C₂×D₇×M₁₆	C₂²	semidirect
37. C₂×#6464	C₂²	semidirect
38. C₂²×#1131	C₂²	semidirect
69. C₇×#446	C₂²	semidirect
70. C₇×#446	C₂²	semidirect
71. C₇×#436	C₂²	semidirect
72. C₇×#436	C₂²	semidirect
73. C₇×#435	C₂²	semidirect
74. C₇×#435	C₂²	semidirect
75. C₇×#435	C₂²	semidirect
76. C₇×#435	C₂²	semidirect
77. C₇×#433	C₂²	semidirect
78. C₇×#433	C₂²	semidirect
79. C₇×#432	C₂²	semidirect
80. C₇×#424	C₂²	semidirect
81. C₇×#424	C₂²	semidirect
82. C₇×#423	C₂²	semidirect
83. #89901	C₂²	semidirect
86. #89900	C₂²	semidirect
87. #89900	C₂²	semidirect
88. #89900	C₂²	semidirect
89. #89899	C₂²	semidirect
90. #89899	C₂²	semidirect
91. #89899	C₂²	semidirect
92. #89898	C₂²	semidirect
93. #89898	C₂²	semidirect
94. #89898	C₂²	semidirect
95. #89883	C₂²	semidirect
96. #89882	C₂²	semidirect
97. C₈×C₂²⋊D₇	C₂²	semidirect
98. C₈×C₂²⋊D₇	C₂²	semidirect
99. C₈×C₂²⋊D₇	C₂²	semidirect
100. C₂×(C₂×D₇)⋊C₈	C₂²	semidirect
101. #89796	C₂²	semidirect
102. #89796	C₂²	semidirect
103. #89784	C₂²	semidirect
104. #89784	C₂²	semidirect
105. #89783	C₂²	semidirect
106. #89783	C₂²	semidirect
107. #89783	C₂²	semidirect
108. #89783	C₂²	semidirect
109. #89772	C₂²	semidirect
110. #89772	C₂²	semidirect
111. #89769	C₂²	semidirect
112. #89769	C₂²	semidirect
113. #89698	C₂²	semidirect
114. C₄×#1136	C₂²	semidirect
115. #89612	C₂²	semidirect
116. #89612	C₂²	semidirect
117. #89611	C₂²	semidirect
118. #89611	C₂²	semidirect
119. #89610	C₂²	semidirect
120. #89610	C₂²	semidirect
121. #89610	C₂²	semidirect
122. #89610	C₂²	semidirect
123. #89610	C₂²	semidirect
124. #89610	C₂²	semidirect
125. #89610	C₂²	semidirect
126. #89609	C₂²	semidirect
127. #89609	C₂²	semidirect
130. #89608	C₂²	semidirect
131. #89608	C₂²	semidirect
132. #89608	C₂²	semidirect
133. #89608	C₂²	semidirect
134. #89608	C₂²	semidirect
135. #89608	C₂²	semidirect
136. #89608	C₂²	semidirect
137. #89608	C₂²	semidirect
138. #89608	C₂²	semidirect
139. #89608	C₂²	semidirect
140. #89608	C₂²	semidirect
141. #89608	C₂²	semidirect
142. #89607	C₂²	semidirect
143. #89606	C₂²	semidirect
144. #89606	C₂²	semidirect
145. #89606	C₂²	semidirect
146. #89605	C₂²	semidirect
147. #89605	C₂²	semidirect
148. #89605	C₂²	semidirect
149. D₇×C₄⋊C₈	C₂²	semidirect
150. D₇×C₄⋊C₈	C₂²	semidirect
151. #89602	C₂²	semidirect
152. #89602	C₂²	semidirect
153. #89600	C₂²	semidirect
154. #89600	C₂²	semidirect
155. #89502	C₂²	semidirect
158. #89501	C₂²	semidirect
159. #89501	C₂²	semidirect
160. #89501	C₂²	semidirect
161. #89501	C₂²	semidirect
162. #89501	C₂²	semidirect
163. #89500	C₂²	semidirect
164. #89499	C₂²	semidirect
165. #89499	C₂²	semidirect
166. #89499	C₂²	semidirect
167. #89499	C₂²	semidirect
168. #89498	C₂²	semidirect
169. #89498	C₂²	semidirect
170. #89498	C₂²	semidirect
171. #89498	C₂²	semidirect
172. #89498	C₂²	semidirect
173. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
174. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
175. (C₂²⋊D₇)⋊C₈	C₂²	semidirect
176. D₇×C₂²⋊C₈	C₂²	semidirect
177. D₇×C₂²⋊C₈	C₂²	semidirect
178. D₇×C₂²⋊C₈	C₂²	semidirect
179. #89481	C₂²	semidirect
180. #89480	C₂²	semidirect
181. #89479	C₂²	semidirect
182. #89479	C₂²	semidirect
183. #89479	C₂²	semidirect
186. #89478	C₂²	semidirect
187. #89478	C₂²	semidirect
188. #89478	C₂²	semidirect
189. #89478	C₂²	semidirect
190. #89478	C₂²	semidirect
191. #89478	C₂²	semidirect
192. #89477	C₂²	semidirect
193. #89477	C₂²	semidirect
194. #89477	C₂²	semidirect
195. #89462	C₂²	semidirect
196. #89461	C₂²	semidirect
197. #89460	C₂²	semidirect
198. #89460	C₂²	semidirect
199. #89460	C₂²	semidirect
200. C₈×D₂₈	C₂²	semidirect
201. #89457	C₂²	semidirect
202. C₄×C₈×D₇	C₂²	semidirect
487. #2995	D₇	semidirect
782. #446	C₂×D₇	semidirect
783. #446	C₂×D₇	semidirect
810. #436	C₂×D₇	semidirect
811. #436	C₂×D₇	semidirect
844. #435	C₂×D₇	semidirect
845. #435	C₂×D₇	semidirect
846. #435	C₂×D₇	semidirect
847. #435	C₂×D₇	semidirect
864. #433	C₂×D₇	semidirect
865. #433	C₂×D₇	semidirect
871. #432	C₂×D₇	semidirect
878. #424	C₂×D₇	semidirect
879. #424	C₂×D₇	semidirect
882. #423	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
#11743221	2
C₇×#2995	2
#11740572	2
#11737394	2
#11737390	2
#11737385	2
#11737383	2
#11736990	2
#11736988	2
#11736984	2
D₇×#436	2
#11736937	2
#11736933	2
#11736931	2
#11736930	2
#11736929	2
#11736928	2
#11736924	2
#11736823	2
#11736821	2
#11736814	2
#11736811	2
#11736780	2
#11736774	2
#11736529	2
#11736528	2
#11736520	2
#11736519	2
#11736495	2
#11736488	2
#60324	7