Subgroups — #14218356

Order 1792.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743214	C₂	1	1	yes	maximal, characteristic
2	C₇×#2968	C₂	1	1	yes	maximal, characteristic, complemented
3	#11740574	C₂	1	1	yes	maximal, characteristic, complemented
4	#11737404	C₂	1	1	yes	maximal, characteristic, complemented
5	#11737403	C₂	1	1	yes	maximal, characteristic, complemented
6	#11737387	C₂	1	1	yes	maximal, characteristic, complemented
7	#11737386	C₂	1	1	yes	maximal, characteristic, complemented
8	#11736925	C₂	1	1	yes	maximal, characteristic, complemented
9	#11736924	C₂	1	1	yes	maximal, characteristic, complemented
10	#11736924	C₂	1	1	yes	maximal, characteristic, complemented
11	#11736923	C₂	1	1	yes	maximal, characteristic, complemented
12	#11736904	C₂	1	1	yes	maximal, characteristic, complemented
13	#11736904	C₂	1	1	yes	maximal, characteristic, complemented
14	#11736903	C₂	1	1	yes	maximal, characteristic, complemented
15	#11736902	C₂	1	1	yes	maximal, characteristic, complemented
16	#11736867	C₂	1	1	yes	maximal, characteristic, complemented
17	#11736866	C₂	1	1	yes	maximal, characteristic, complemented
18	#11736848	C₂	1	1	yes	maximal, characteristic, complemented
19	#11736847	C₂	1	1	yes	maximal, characteristic, complemented
20	#11736817	C₂	1	1	yes	maximal, characteristic, complemented
21	#11736816	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736814	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736814	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736728	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736725	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736003	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736003	C₂	1	1	yes	maximal, characteristic, complemented
28	#11735995	C₂	1	1	yes	maximal, characteristic, complemented
29	D₇×#405	C₂	1	1	yes	maximal, characteristic, complemented
30	#11735931	C₂	1	1	yes	maximal, characteristic, complemented
31	#11735926	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#529	C₂²	1	1	yes	characteristic
33	C₂×#6470	C₂²	1	1	yes	characteristic
34	C₂×D₇×M₁₆	C₂²	1	1	yes	characteristic
35	C₂×#6464	C₂²	1	1	yes	characteristic
36	C₂×#6464	C₂²	1	1	yes	characteristic
37	C₂×#6464	C₂²	1	1	yes	characteristic
38	C₂²×C₈×D₇	C₂²	1	1	yes	characteristic
39	#90401	C₄	1	1	yes	characteristic
40	#90398	C₄	1	1	yes	characteristic
41	#90395	C₄	1	1	yes	characteristic
42	#90392	C₄	1	1	yes	characteristic
43	#90387	C₄	1	1	yes	characteristic
44	#90383	C₄	1	1	yes	characteristic
45	#90369	C₄	1	1	yes	characteristic
46	#90360	C₄	1	1	yes	characteristic
47	#90354	C₄	1	1	yes	characteristic
48	#90353	C₄	1	1	yes	characteristic
49	#90351	C₄	1	1	yes	characteristic
50	#90348	C₄	1	1	yes	characteristic
51	#90331	C₄	1	1	yes	characteristic
52	#90329	C₄	1	1	yes	characteristic
53	#90306	C₄	1	1	yes	characteristic
54	#90304	C₄	1	1	yes	characteristic
55	#90271	C₂²	1	1	yes	characteristic
56	#90269	C₂²	1	1	yes	characteristic
57	#90248	C₂²	1	1	yes	characteristic
58	#90239	C₂²	1	1	yes	characteristic
59	#90238	C₂²	1	1	yes	characteristic
60	#90238	C₂²	1	1	yes	characteristic
61	#90229	C₂²	1	1	yes	characteristic
62	#90229	C₂²	1	1	yes	characteristic
63	#90219	C₂²	1	1	yes	characteristic
64	#90219	C₂²	1	1	yes	characteristic
65	#90213	C₂²	1	1	yes	characteristic
66	D₇×#117	C₂²	1	1	yes	characteristic
67	#90170	C₂²	1	1	yes	characteristic
68	C₄×#1157	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×#435	C₂²	1	1	yes	characteristic
72	C₇×#435	C₂²	1	1	yes	characteristic
73	C₇×#435	C₂²	1	1	yes	characteristic
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, complemented
77	C₇×#433	C₂²	1	1	yes	characteristic
78	C₇×#433	C₂²	1	1	yes	characteristic, complemented
79	C₇×#431	C₂²	1	1	yes	characteristic, complemented
80	C₇×#405	C₂²	1	1	yes	characteristic
81	C₇×#405	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₇×#97	C₂²	1	1	yes	characteristic, complemented
83	#89899	C₂²	1	1	yes	characteristic
84	#89899	C₂²	1	1	yes	characteristic
85	#89899	C₂²	1	1	yes	characteristic
86	#89899	C₂²	1	1	yes	characteristic, complemented
87	#89894	C₂²	1	1	yes	characteristic
88	M₁₆×Dic₇	C₂²	1	1	yes	characteristic, complemented
89	#89883	C₂²	1	1	yes	characteristic
90	#89883	C₂²	1	1	yes	characteristic
91	#89883	C₂²	1	1	yes	characteristic
92	#89883	C₂²	1	1	yes	characteristic, complemented
93	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
94	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
95	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
96	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic, complemented
97	#89873	C₂²	1	1	yes	characteristic
98	#89873	C₂²	1	1	yes	characteristic, complemented
99	#89873	C₂²	1	1	yes	characteristic, complemented
100	C₂×#6389	C₂²	1	1	yes	characteristic, complemented
101	#89796	C₂²	1	1	yes	characteristic, complemented
102	Q₈×C₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
103	#89784	C₂²	1	1	yes	characteristic
104	#89784	C₂²	1	1	yes	characteristic
105	#89784	C₂²	1	1	yes	characteristic, complemented
106	#89783	C₂²	1	1	yes	characteristic
107	#89783	C₂²	1	1	yes	characteristic, complemented
108	D₄×C₇⋊C₈	C₂²	1	1	yes	characteristic
109	#89772	C₂²	1	1	yes	characteristic
110	#89772	C₂²	1	1	yes	characteristic, complemented
111	#89769	C₂²	1	1	yes	characteristic
112	#89769	C₂²	1	1	yes	characteristic, complemented
113	#89697	C₂²	1	1	yes	characteristic, complemented
114	C₄×#1136	C₂²	1	1	yes	characteristic, complemented
115	#89612	C₂²	1	1	yes	characteristic
116	#89612	C₂²	1	1	yes	characteristic
117	#89612	C₂²	1	1	yes	characteristic, complemented
118	#89612	C₂²	1	1	yes	characteristic, complemented
119	#89611	C₂²	1	1	yes	characteristic
120	#89611	C₂²	1	1	yes	characteristic
121	#89611	C₂²	1	1	yes	characteristic
122	#89611	C₂²	1	1	yes	characteristic
123	#89610	C₂²	1	1	yes	characteristic
124	#89610	C₂²	1	1	yes	characteristic
125	#89610	C₂²	1	1	yes	characteristic, complemented
126	#89609	C₂²	1	1	yes	characteristic
127	#89609	C₂²	1	1	yes	characteristic
128	#89608	C₂²	1	1	yes	characteristic
129	#89608	C₂²	1	1	yes	characteristic, complemented
130	#89606	C₂²	1	1	yes	characteristic
131	#89605	C₂²	1	1	yes	characteristic, complemented
132	#89605	C₂²	1	1	yes	characteristic, complemented
133	#89603	C₂²	1	1	yes	characteristic, complemented
134	#89602	C₂²	1	1	yes	characteristic, complemented
135	#89602	C₂²	1	1	yes	characteristic, complemented
136	#89602	C₂²	1	1	yes	characteristic, complemented
137	#89600	C₂²	1	1	yes	characteristic, complemented
138	#89600	C₂²	1	1	yes	characteristic, complemented
139	#89502	C₂²	1	1	yes	characteristic
140	#89502	C₂²	1	1	yes	characteristic, complemented
141	#89501	C₂²	1	1	yes	characteristic
142	#89501	C₂²	1	1	yes	characteristic
143	#89501	C₂²	1	1	yes	characteristic
144	#89501	C₂²	1	1	yes	characteristic
145	#89501	C₂²	1	1	yes	characteristic, complemented
146	#89501	C₂²	1	1	yes	characteristic, complemented
147	#89500	C₂²	1	1	yes	characteristic
148	#89500	C₂²	1	1	yes	characteristic, complemented
149	#89499	C₂²	1	1	yes	characteristic
150	#89499	C₂²	1	1	yes	characteristic
151	#89499	C₂²	1	1	yes	characteristic
152	#89499	C₂²	1	1	yes	characteristic
153	#89498	C₂²	1	1	yes	characteristic
154	#89498	C₂²	1	1	yes	characteristic
155	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
156	(C₂²⋊D₇)⋊C₈	C₂²	1	1	yes	characteristic
157	#89492	C₂²	1	1	yes	characteristic
158	#89492	C₂²	1	1	yes	characteristic
159	#89492	C₂²	1	1	yes	characteristic, complemented
160	#89492	C₂²	1	1	yes	characteristic, complemented
161	#89490	C₂²	1	1	yes	characteristic, complemented
162	#89490	C₂²	1	1	yes	characteristic, complemented
163	#89481	C₂²	1	1	yes	characteristic
164	#89481	C₂²	1	1	yes	characteristic, complemented
165	#89480	C₂²	1	1	yes	characteristic
166	#89480	C₂²	1	1	yes	characteristic
167	#89480	C₂²	1	1	yes	characteristic
168	#89480	C₂²	1	1	yes	characteristic
169	#89480	C₂²	1	1	yes	characteristic
170	#89480	C₂²	1	1	yes	characteristic, complemented
171	#89480	C₂²	1	1	yes	characteristic, complemented
172	#89480	C₂²	1	1	yes	characteristic, complemented
173	#89479	C₂²	1	1	yes	characteristic
174	#89479	C₂²	1	1	yes	characteristic, complemented
175	#89478	C₂²	1	1	yes	characteristic
176	#89478	C₂²	1	1	yes	characteristic
177	#89478	C₂²	1	1	yes	characteristic
178	#89478	C₂²	1	1	yes	characteristic, complemented
179	D₇×#97	C₂²	1	1	yes	characteristic
180	D₇×#97	C₂²	1	1	yes	characteristic
181	D₇×#97	C₂²	1	1	yes	characteristic, complemented
182	D₇×#97	C₂²	1	1	yes	characteristic, complemented
183	#89473	C₂²	1	1	yes	characteristic, complemented
184	#89473	C₂²	1	1	yes	characteristic, complemented
185	#89473	C₂²	1	1	yes	characteristic, complemented
186	#89473	C₂²	1	1	yes	characteristic, complemented
187	#89462	C₂²	1	1	yes	characteristic
188	#89462	C₂²	1	1	yes	characteristic, complemented
189	#89461	C₂²	1	1	yes	characteristic
190	#89461	C₂²	1	1	yes	characteristic
191	#89461	C₂²	1	1	yes	characteristic
192	#89461	C₂²	1	1	yes	characteristic, complemented
193	C₄×#1131	C₂²	1	1	yes	characteristic
194	C₄×#1131	C₂²	1	1	yes	characteristic, complemented
195	C₈×D₂₈	C₂²	1	1	yes	characteristic
196	C₈×D₂₈	C₂²	1	1	yes	characteristic, complemented
197	#89457	C₂²	1	1	yes	characteristic, complemented
198	#89457	C₂²	1	1	yes	characteristic, complemented
199	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
200	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
201	#89451	C₂²	1	1	yes	characteristic, complemented
202	#89451	C₂²	1	1	yes	characteristic, complemented
203	#60209	—	7	1	no	maximal, Sylow
204	C₂×#1157	C₂³	1	1	yes	characteristic
205	C₂×#1157	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
207	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
208	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
209	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
210	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
211	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
212	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
213	C₇×#126	C₂×C₄	1	1	yes	characteristic
214	C₇×#126	C₂×C₄	1	1	yes	characteristic
215	C₇×#125	C₂×C₄	1	1	yes	characteristic
216	C₇×#124	C₂×C₄	1	1	yes	characteristic
217	C₇×#123	C₂×C₄	1	1	yes	characteristic
218	C₇×#123	C₂×C₄	1	1	yes	characteristic
219	C₇×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
220	C₇×#121	C₂×C₄	1	1	yes	characteristic
221	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
222	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
223	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
224	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
225	C₇×#117	C₂³	1	1	yes	characteristic
226	C₇×#117	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₇	C₂³	1	1	yes	characteristic
228	#6510	C₂×C₄	1	1	yes	characteristic
229	#6509	C₂×C₄	1	1	yes	characteristic
230	#6509	C₂×C₄	1	1	yes	characteristic
231	#6507	C₂×C₄	1	1	yes	characteristic
232	#6503	C₂×C₄	1	1	yes	characteristic
233	#6502	C₂×C₄	1	1	yes	characteristic
234	#6502	C₂×C₄	1	1	yes	characteristic
235	#6502	C₂×C₄	1	1	yes	characteristic
236	#6502	C₂×C₄	1	1	yes	characteristic
237	#6501	C₂×C₄	1	1	yes	characteristic
238	#6501	C₂×C₄	1	1	yes	characteristic
239	#6500	C₂×C₄	1	1	yes	characteristic
240	#6500	C₂×C₄	1	1	yes	characteristic
241	#6499	C₂×C₄	1	1	yes	characteristic
242	#6498	C₂×C₄	1	1	yes	characteristic
243	#6498	C₂×C₄	1	1	yes	characteristic
244	#6493	C₂×C₄	1	1	yes	characteristic
245	#6492	C₂×C₄	1	1	yes	characteristic
246	#6492	C₂×C₄	1	1	yes	characteristic
247	C₄×C₂²⋊D₇	C₂×C₄	1	1	yes	characteristic
248	C₄×C₂²⋊D₇	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	#6489	C₂³	1	1	yes	characteristic
258	#6489	C₂³	1	1	yes	characteristic
259	#6487	C₂×C₄	1	1	yes	characteristic
260	C₂×C₄×Dic₇	C₂³	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	—	2	4	no	—
268	D₇×M₁₆	—	2	4	no	—
269	#6464	—	2	4	no	—
270	#6464	—	2	4	no	—
271	#6464	—	2	4	no	—
272	C₂×#1131	C₂³	1	1	yes	characteristic
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×C₈×D₇	—	2	4	no	—
283	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
284	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
285	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₇	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	#6461	C₂×C₄	1	1	yes	characteristic
294	#6461	C₂×C₄	1	1	yes	characteristic
295	#6461	C₂×C₄	1	1	yes	characteristic
296	#6461	C₂×C₄	1	1	yes	characteristic
297	#6461	C₂×C₄	1	1	yes	characteristic
298	#6461	C₂×C₄	1	1	yes	characteristic
299	#6460	C₂×C₄	1	1	yes	characteristic
300	#6460	C₂×C₄	1	1	yes	characteristic
301	#6459	C₂×C₄	1	1	yes	characteristic
302	#6459	C₂×C₄	1	1	yes	characteristic
303	#6459	C₂×C₄	1	1	yes	characteristic
304	#6459	C₂×C₄	1	1	yes	characteristic
305	#6459	C₂×C₄	1	1	yes	characteristic
306	#6459	C₂×C₄	1	1	yes	characteristic
307	#6458	C₂×C₄	1	1	yes	characteristic
308	#6458	C₂×C₄	1	1	yes	characteristic
309	#6457	C₂×C₄	1	1	yes	characteristic
310	#6457	C₂×C₄	1	1	yes	characteristic
311	#6457	C₂×C₄	1	1	yes	characteristic
312	#6457	C₂×C₄	1	1	yes	characteristic
313	#6457	C₂×C₄	1	1	yes	characteristic
314	#6457	C₂×C₄	1	1	yes	characteristic
315	#6456	C₂×C₄	1	1	yes	characteristic
316	#6456	C₂×C₄	1	1	yes	characteristic
317	#6455	C₂×C₄	1	1	yes	characteristic
318	#6455	C₂×C₄	1	1	yes	characteristic
319	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
320	D₇×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
321	#6453	C₂×C₄	1	1	yes	characteristic
322	#6453	C₂×C₄	1	1	yes	characteristic
323	#6452	C₂×C₄	1	1	yes	characteristic
324	#6452	C₂×C₄	1	1	yes	characteristic
325	#6452	C₂×C₄	1	1	yes	characteristic
326	#6452	C₂×C₄	1	1	yes	characteristic
327	#6452	C₂×C₄	1	1	yes	characteristic
328	#6452	C₂×C₄	1	1	yes	characteristic
329	#6451	C₂×C₄	1	1	yes	characteristic
330	#6451	C₂×C₄	1	1	yes	characteristic
331	#6450	C₂×C₄	1	1	yes	characteristic
332	#6450	C₂×C₄	1	1	yes	characteristic
333	#6449	C₂×C₄	1	1	yes	characteristic
334	#6449	C₂×C₄	1	1	yes	characteristic
335	#6448	C₂×C₄	1	1	yes	characteristic
336	#6448	C₂×C₄	1	1	yes	characteristic
337	#6448	C₂×C₄	1	1	yes	characteristic
338	#6448	C₂×C₄	1	1	yes	characteristic
339	#6448	C₂×C₄	1	1	yes	characteristic
340	#6448	C₂×C₄	1	1	yes	characteristic
341	#6447	C₂×C₄	1	1	yes	characteristic
342	#6447	C₂×C₄	1	1	yes	characteristic
343	#6447	C₂×C₄	1	1	yes	characteristic
344	#6447	C₂×C₄	1	1	yes	characteristic
345	#6447	C₂×C₄	1	1	yes	characteristic
346	#6447	C₂×C₄	1	1	yes	characteristic
347	#6446	C₂×C₄	1	1	yes	characteristic
348	#6446	C₂×C₄	1	1	yes	characteristic
349	#6446	C₂×C₄	1	1	yes	characteristic
350	#6446	C₂×C₄	1	1	yes	characteristic
351	#6446	C₂×C₄	1	1	yes	characteristic
352	#6446	C₂×C₄	1	1	yes	characteristic
353	#6445	C₂×C₄	1	1	yes	characteristic
354	#6445	C₂×C₄	1	1	yes	characteristic
355	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
356	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
357	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
358	(C₂²⋊D₇)⋊C₄	C₂×C₄	1	1	yes	characteristic
359	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
360	D₇×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
361	#6442	C₂×C₄	1	1	yes	characteristic
362	#6442	C₂×C₄	1	1	yes	characteristic
363	#6442	C₂×C₄	1	1	yes	characteristic
364	#6442	C₂×C₄	1	1	yes	characteristic
365	#6442	C₂×C₄	1	1	yes	characteristic
366	#6442	C₂×C₄	1	1	yes	characteristic
367	#6441	C₂×C₄	1	1	yes	characteristic
368	#6441	C₂×C₄	1	1	yes	characteristic
369	#6441	C₂×C₄	1	1	yes	characteristic
370	#6441	C₂×C₄	1	1	yes	characteristic
371	#6440	C₂×C₄	1	1	yes	characteristic
372	#6440	C₂×C₄	1	1	yes	characteristic
373	#6439	C₂×C₄	1	1	yes	characteristic
374	#6439	C₂×C₄	1	1	yes	characteristic
375	#6438	C₂×C₄	1	1	yes	characteristic
376	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
377	C₄×D₂₈	C₂×C₄	1	1	yes	characteristic
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	C₄×D₂₈	C₂³	1	1	yes	characteristic
380	C₄×D₂₈	C₂³	1	1	yes	characteristic
381	#6435	C₂³	1	1	yes	characteristic
382	#6435	C₂³	1	1	yes	characteristic
383	#6435	C₂³	1	1	yes	characteristic
384	#6435	C₂³	1	1	yes	characteristic
385	#6435	C₂³	1	1	yes	characteristic
386	#6435	C₂³	1	1	yes	characteristic
387	C₄²×D₇	C₂³	1	1	yes	characteristic
388	C₄²×D₇	C₂³	1	1	yes	characteristic
389	C₄²×D₇	C₂³	1	1	yes	characteristic
390	C₄²×D₇	C₂³	1	1	yes	characteristic
391	#6433	C₂×C₄	1	1	yes	characteristic
392	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
393	C₄×Dic₁₄	C₂×C₄	1	1	yes	characteristic
394	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
396	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
397	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
398	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₇×C₄⋊C₈	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
404	C₇×C₂²⋊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×#97	C₂³	1	1	yes	characteristic
410	C₇×#97	C₂³	1	1	yes	characteristic
411	C₇×#97	C₂³	1	1	yes	characteristic
412	C₇×#97	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	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
418	C₄×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	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
426	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
427	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
428	(C₂×D₇)⋊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	#6389	C₂³	1	1	yes	characteristic
438	#6389	C₂³	1	1	yes	characteristic
439	#6389	C₂³	1	1	yes	characteristic
440	#6389	C₂³	1	1	yes	characteristic
441	#6389	C₂³	1	1	yes	characteristic
442	#6389	C₂³	1	1	yes	characteristic
443	#6389	C₂³	1	1	yes	characteristic
444	#6389	C₂³	1	1	yes	characteristic
445	#6389	C₂³	1	1	yes	characteristic
446	#6389	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
450	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
451	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
452	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
453	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
454	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
455	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
456	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
457	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
458	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
459	C₈×Dic₇	C₂³	1	1	yes	characteristic
460	C₈×Dic₇	C₂³	1	1	yes	characteristic
461	C₈×Dic₇	C₂³	1	1	yes	characteristic
462	C₈×Dic₇	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	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
480	C₄×C₇⋊C₈	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	#3455	—	7	1	no	—
486	#2969	—	7	1	no	—
487	#2969	—	7	1	no	—
488	#2969	—	7	1	no	—
489	#2969	—	7	1	no	—
490	#2969	—	7	1	no	—
491	#2969	—	7	1	no	—
492	#2969	—	7	1	no	—
493	#2969	—	7	1	no	—
494	#2968	—	7	1	no	—
495	#2968	—	7	1	no	—
496	#2968	—	7	1	no	—
497	#2968	—	7	1	no	—
498	#2968	—	7	1	no	—
499	#2968	—	7	1	no	—
500	#2968	—	7	1	no	—
501	#2968	D₇	1	1	yes	characteristic, complemented
502	#2961	—	7	1	no	—
503	#2960	—	7	1	no	—
504	#2932	—	7	1	no	—
505	#2931	—	7	1	no	—
506	#2930	—	7	1	no	—
507	#2930	—	7	1	no	—
508	#2929	—	7	1	no	—
509	#2929	—	7	1	no	—
510	#2922	—	7	1	no	—
511	#2922	—	7	1	no	—
512	#2921	—	7	1	no	—
513	#2875	—	7	1	no	—
514	#2875	—	7	1	no	—
515	C₂×#405	—	7	1	no	—
516	C₂³×D₇	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₇×Q₈	C₂²×C₄	1	1	yes	characteristic
518	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
519	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
520	C₂×C₇×D₄	C₂²×C₄	1	1	yes	characteristic
521	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
522	C₂²×C₄×C₇	C₂²×C₄	1	1	yes	characteristic
523	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
526	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₇	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₂²⋊D₇	C₂²×C₄	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	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
537	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
538	C₂²×Dic₇	C₂²×C₄	1	1	yes	characteristic
539	#1157	—	2	2	no	—
540	#1157	—	2	2	no	—
541	#1157	—	2	2	no	—
542	#1157	—	2	2	no	—
543	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
544	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
545	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
546	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
547	C₂×D₂₈	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄×D₇	—	2	2	no	—
549	C₂×C₄×D₇	—	2	2	no	—
550	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₄×D₇	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
561	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
562	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
564	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
565	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
566	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
567	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
568	C₂×Dic₁₄	C₂²×C₄	1	1	yes	characteristic
569	C₇×M₁₆	—	2	2	no	—
570	C₇×M₁₆	—	2	2	no	—
571	C₂×C₇×C₈	—	2	2	no	—
572	C₂×C₇×C₈	—	2	2	no	—
573	C₂×C₇×C₈	—	2	2	no	—
574	C₂×C₇×C₈	—	2	2	no	—
575	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
577	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
578	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
579	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
583	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
586	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
587	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
588	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
589	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
592	C₇×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
593	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
594	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
595	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
596	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
597	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
598	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
599	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
600	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
601	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
602	C₇×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
603	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
604	C₄²×C₇	C₂²×C₄	1	1	yes	characteristic
605	C₄²×C₇	C₂⁴	1	1	yes	characteristic
606	C₄²×C₇	C₂⁴	1	1	yes	characteristic
607	C₄²×C₇	C₂⁴	1	1	yes	characteristic
608	C₄²×C₇	C₂⁴	1	1	yes	characteristic
609	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
610	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
611	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
612	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
613	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
614	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
615	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
616	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
617	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
619	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
620	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
621	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
622	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
623	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
624	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
625	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
626	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
627	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
628	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
629	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
630	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
631	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
632	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
633	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
634	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
635	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
636	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
637	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
638	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
639	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
640	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
641	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
642	(C₂×D₇)⋊C₄	C₂²×C₄	1	1	yes	characteristic
643	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
644	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
645	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
646	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
647	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
648	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
649	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
650	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
651	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
652	C₄⋊Dic₇	C₂²×C₄	1	1	yes	characteristic
653	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
654	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
655	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
656	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
657	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
658	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
659	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
660	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
661	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
662	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
663	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
664	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
665	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
666	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
667	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
668	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	Dic₇⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	Dic₇⋊C₄	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	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	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
682	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
683	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
684	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
685	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
686	C₄×Dic₇	C₂²×C₄	1	1	yes	characteristic
687	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
691	#1136	—	2	2	no	—
692	#1136	—	2	2	no	—
693	#1136	—	2	2	no	—
694	#1136	—	2	2	no	—
695	C₂×C₇⋊C₈	—	2	2	no	—
696	C₂×C₇⋊C₈	—	2	2	no	—
697	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
698	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
699	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
700	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
701	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
702	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
703	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
704	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
705	#1131	—	2	2	no	—
706	#1131	—	2	2	no	—
707	#1131	—	2	2	no	—
708	#1131	—	2	2	no	—
709	#1131	—	2	2	no	—
710	#1131	—	2	2	no	—
711	#1131	—	2	2	no	—
712	#1131	—	2	2	no	—
713	#1131	—	2	2	no	—
714	#1131	—	2	2	no	—
715	C₈×D₇	—	2	2	no	—
716	C₈×D₇	—	2	2	no	—
717	C₈×D₇	—	2	2	no	—
718	C₈×D₇	—	2	2	no	—
719	C₈×D₇	—	2	2	no	—
720	C₈×D₇	—	2	2	no	—
721	C₈×D₇	—	2	2	no	—
722	C₈×D₇	—	2	2	no	—
723	C₈×D₇	#41	1	4	yes	—
724	C₈×D₇	#41	1	4	yes	—
725	C₂×#131	—	7	1	no	—
726	C₂×#131	—	7	1	no	—
727	C₂×#131	—	7	1	no	—
728	C₂×#131	—	7	1	no	—
729	C₂²×M₁₆	—	7	1	no	—
730	C₂³×C₈	—	7	1	no	—
731	#542	—	7	1	no	—
732	#542	—	7	1	no	—
733	#542	—	7	1	no	—
734	#542	—	7	1	no	—
735	#541	—	7	1	no	—
736	#541	—	7	1	no	—
737	#540	—	7	1	no	—
738	#540	—	7	1	no	—
739	#539	—	7	1	no	—
740	#539	—	7	1	no	—
741	#539	—	7	1	no	—
742	#539	—	7	1	no	—
743	#538	—	7	1	no	—
744	#538	—	7	1	no	—
745	#538	—	7	1	no	—
746	#538	—	7	1	no	—
747	#533	—	7	1	no	—
748	#532	—	7	1	no	—
749	#529	—	7	1	no	—
750	#529	—	7	1	no	—
751	#529	—	7	1	no	—
752	#529	—	7	1	no	—
753	#529	—	7	1	no	—
754	#529	—	7	1	no	—
755	#529	—	7	1	no	—
756	#529	C₂×D₇	1	1	yes	characteristic
757	#525	—	7	1	no	—
758	#525	—	7	1	no	—
759	C₄×#41	—	7	1	no	—
760	C₄×#41	—	7	1	no	—
761	C₂×#117	—	7	1	no	—
762	#446	—	7	1	no	—
763	#446	—	7	1	no	—
764	#446	—	7	1	no	—
765	#446	—	7	1	no	—
766	#446	—	7	1	no	—
767	#446	—	7	1	no	—
768	#446	—	7	1	no	—
769	#446	—	7	1	no	—
770	#446	—	7	1	no	—
771	#446	—	7	1	no	—
772	#446	C₂×D₇	1	1	yes	characteristic, complemented
773	#446	C₂×D₇	1	1	yes	characteristic, complemented
774	C₈×Q₈	—	7	1	no	—
775	C₈×Q₈	—	7	1	no	—
776	C₈×Q₈	—	7	1	no	—
777	C₈×Q₈	—	7	1	no	—
778	#436	—	7	1	no	—
779	#436	—	7	1	no	—
780	#436	—	7	1	no	—
781	#436	—	7	1	no	—
782	#436	—	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	—	7	1	no	—
790	#435	—	7	1	no	—
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	C₂×D₇	1	1	yes	characteristic
811	#435	C₂×D₇	1	1	yes	characteristic
812	#435	C₂×D₇	1	1	yes	characteristic
813	#435	C₂×D₇	1	1	yes	characteristic, complemented
814	C₈×D₄	—	7	1	no	—
815	C₈×D₄	—	7	1	no	—
816	C₈×D₄	—	7	1	no	—
817	C₈×D₄	—	7	1	no	—
818	C₈×D₄	—	7	1	no	—
819	C₈×D₄	—	7	1	no	—
820	C₈×D₄	—	7	1	no	—
821	C₈×D₄	—	7	1	no	—
822	C₈×D₄	—	7	1	no	—
823	C₈×D₄	—	7	1	no	—
824	C₈×D₄	C₂×D₇	1	1	yes	characteristic
825	C₈×D₄	C₂×D₇	1	1	yes	characteristic, complemented
826	#433	—	7	1	no	—
827	#433	—	7	1	no	—
828	#433	—	7	1	no	—
829	#433	—	7	1	no	—
830	#433	—	7	1	no	—
831	#433	—	7	1	no	—
832	#433	—	7	1	no	—
833	#433	—	7	1	no	—
834	#433	—	7	1	no	—
835	#433	—	7	1	no	—
836	#433	—	7	1	no	—
837	#433	—	7	1	no	—
838	#433	—	7	1	no	—
839	#433	—	7	1	no	—
840	#433	C₂×D₇	1	1	yes	characteristic
841	#433	C₂×D₇	1	1	yes	characteristic, complemented
842	#431	—	7	1	no	—
843	#431	—	7	1	no	—
844	#431	—	7	1	no	—
845	#431	—	7	1	no	—
846	#431	—	7	1	no	—
847	#431	—	7	1	no	—
848	#431	—	7	1	no	—
849	#431	C₂×D₇	1	1	yes	characteristic, complemented
850	#424	—	7	1	no	—
851	#424	—	7	1	no	—
852	#424	—	7	1	no	—
853	#424	—	7	1	no	—
854	#423	—	7	1	no	—
855	#423	—	7	1	no	—
856	#408	—	7	1	no	—
857	#408	—	7	1	no	—
858	#408	—	7	1	no	—
859	#408	—	7	1	no	—
860	#407	—	7	1	no	—
861	#407	—	7	1	no	—
862	#405	—	7	1	no	—
863	#405	—	7	1	no	—
864	#405	—	7	1	no	—
865	#405	—	7	1	no	—
866	#405	—	7	1	no	—
867	#405	—	7	1	no	—
868	#405	—	7	1	no	—
869	#405	—	7	1	no	—
870	#405	—	7	1	no	—
871	#405	—	7	1	no	—
872	#405	—	7	1	no	—
873	#405	—	7	1	no	—
874	#405	—	7	1	no	—
875	#405	—	7	1	no	—
876	#405	—	7	1	no	—
877	#405	—	7	1	no	—
878	#405	—	7	1	no	—
879	#405	—	7	1	no	—
880	#405	C₂×D₇	1	1	yes	characteristic
881	#405	C₂×D₇	1	1	yes	characteristic, complemented
882	C₄×M₁₆	—	7	1	no	—
883	C₄×M₁₆	—	7	1	no	—
884	C₄×M₁₆	—	7	1	no	—
885	C₄×M₁₆	—	7	1	no	—
886	C₄×M₁₆	—	7	1	no	—
887	C₄×M₁₆	—	7	1	no	—
888	C₂×#97	—	7	1	no	—
889	C₂×#97	—	7	1	no	—
890	C₂×#97	—	7	1	no	—
891	C₂×#97	—	7	1	no	—
892	C₂×#97	—	7	1	no	—
893	C₂×#97	C₂×D₇	1	1	yes	characteristic, complemented
894	C₂×C₄×C₈	—	7	1	no	—
895	C₂×C₄×C₈	—	7	1	no	—
896	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
897	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
898	C₂³×C₇	C₂³×C₄	1	1	yes	characteristic
899	C₂²×D₇	—	2	2	no	—
900	C₂²×D₇	—	4	1	no	—
901	C₂²×D₇	—	4	1	no	—
902	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
903	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
904	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
905	C₂²×D₇	C₂³×C₄	1	1	yes	characteristic
906	C₇×Q₈	—	4	1	no	—
907	C₇×D₄	—	4	1	no	—
908	C₇×D₄	—	4	1	no	—
909	C₇×D₄	—	4	1	no	—
910	C₂×C₄×C₇	—	2	1	no	—
911	C₂×C₄×C₇	—	2	1	no	—
912	C₂×C₄×C₇	—	2	1	no	—
913	C₂×C₄×C₇	—	2	1	no	—
914	C₂×C₄×C₇	—	2	1	no	—
915	C₂×C₄×C₇	—	2	1	no	—
916	C₂×C₄×C₇	—	4	1	no	—
917	C₂×C₄×C₇	—	4	1	no	—
918	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
919	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
920	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
921	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
922	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
923	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
924	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
925	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
926	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
927	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
928	C₂×C₄×C₇	C₂³×C₄	1	1	yes	characteristic
929	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
930	C₂²⋊D₇	—	2	2	no	—
931	C₂²⋊D₇	—	2	2	no	—
932	C₂²⋊D₇	—	2	2	no	—
933	C₂²⋊D₇	—	2	2	no	—
934	C₂²⋊D₇	—	4	1	no	—
935	C₂²⋊D₇	—	4	1	no	—
936	C₂²⋊D₇	—	4	1	no	—
937	C₂²⋊D₇	—	4	1	no	—
938	C₂²⋊D₇	—	4	1	no	—
939	C₂²⋊D₇	—	4	1	no	—
940	C₂×Dic₇	—	2	2	no	—
941	C₂×Dic₇	—	4	1	no	—
942	C₂×Dic₇	—	4	1	no	—
943	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
944	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
945	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
946	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
947	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
948	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
949	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
950	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
951	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
952	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
953	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
954	C₂×Dic₇	C₂³×C₄	1	1	yes	characteristic
955	D₂₈	—	2	2	no	—
956	D₂₈	—	2	2	no	—
957	D₂₈	—	4	1	no	—
958	D₂₈	—	4	1	no	—
959	D₂₈	—	4	1	no	—
960	C₄×D₇	—	2	2	no	—
961	C₄×D₇	—	2	1	no	—
962	C₄×D₇	—	2	1	no	—
963	C₄×D₇	—	2	1	no	—
964	C₄×D₇	—	2	1	no	—
965	C₄×D₇	—	2	1	no	—
966	C₄×D₇	—	2	1	no	—
967	C₄×D₇	—	2	2	no	—
968	C₄×D₇	—	4	1	no	—
969	C₄×D₇	—	4	1	no	—
970	C₄×D₇	—	4	1	no	—
971	C₄×D₇	—	4	1	no	—
972	C₄×D₇	—	4	1	no	—
973	C₄×D₇	—	4	1	no	—
974	C₄×D₇	—	4	1	no	—
975	C₄×D₇	—	4	1	no	—
976	C₄×D₇	C₂×#41	1	2	yes	—
977	C₄×D₇	C₂×#41	1	2	yes	—
978	Dic₁₄	—	2	2	no	—
979	Dic₁₄	—	2	2	no	—
980	Dic₁₄	—	4	1	no	—
981	Dic₁₄	—	4	1	no	—
982	Dic₁₄	—	4	1	no	—
983	C₇×C₈	—	2	1	no	—
984	C₇×C₈	—	2	1	no	—
985	C₇×C₈	—	2	1	no	—
986	C₇×C₈	—	2	1	no	—
987	C₇×C₈	—	2	1	no	—
988	C₇×C₈	—	2	1	no	—
989	C₇×C₈	C₂×#41	1	2	yes	—
990	C₇×C₈	C₂×#41	1	2	yes	—
991	C₇⋊C₈	—	2	1	no	—
992	C₇⋊C₈	—	2	1	no	—
993	C₇⋊C₈	—	2	1	no	—
994	C₇⋊C₈	—	2	1	no	—
995	C₇⋊C₈	—	2	1	no	—
996	C₇⋊C₈	—	2	1	no	—
997	C₇⋊C₈	C₂×#41	1	2	yes	—
998	C₇⋊C₈	C₂×#41	1	2	yes	—
999	C₂×#41	—	7	1	no	—
1000	C₂×#41	—	7	1	no	—
1001	C₂³×C₄	—	7	1	no	—
1002	#131	—	14	4	no	—
1003	#131	—	14	4	no	—
1004	#131	—	14	4	no	—
1005	#131	—	14	4	no	—
1006	C₂×M₁₆	—	7	1	no	—
1007	C₂×M₁₆	—	7	1	no	—
1008	C₂×M₁₆	—	7	1	no	—
1009	C₂×M₁₆	—	7	1	no	—
1010	C₂×M₁₆	—	7	1	no	—
1011	C₂×M₁₆	—	7	1	no	—
1012	C₂×M₁₆	—	7	1	no	—
1013	C₂×M₁₆	—	7	1	no	—
1014	C₂×M₁₆	—	7	1	no	—
1015	C₂×M₁₆	—	7	1	no	—
1016	C₂×M₁₆	—	7	1	no	—
1017	C₂×M₁₆	—	7	1	no	—
1018	C₂×M₁₆	—	7	1	no	—
1019	C₂×M₁₆	—	7	1	no	—
1020	C₂×M₁₆	—	14	4	no	—
1021	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1022	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
1023	C₂²×C₈	—	7	1	no	—
1024	C₂²×C₈	—	7	1	no	—
1025	C₂²×C₈	—	7	1	no	—
1026	C₂²×C₈	—	7	1	no	—
1027	C₂²×C₈	—	7	1	no	—
1028	C₂²×C₈	—	7	1	no	—
1029	C₂²×C₈	—	7	1	no	—
1030	C₂²×C₈	—	7	1	no	—
1031	C₂²×C₈	—	7	1	no	—
1032	C₂²×C₈	—	7	1	no	—
1033	C₂²×C₈	—	7	1	no	—
1034	C₂²×C₈	—	7	1	no	—
1035	C₂²×C₈	—	14	4	no	—
1036	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1037	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1038	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1039	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
1040	C₄⋊Q₈	—	7	1	no	—
1041	C₄⋊Q₈	—	7	1	no	—
1042	C₄⋊Q₈	—	7	1	no	—
1043	#127	—	7	1	no	—
1044	#126	—	7	1	no	—
1045	#126	—	7	1	no	—
1046	#126	—	7	1	no	—
1047	#126	—	7	1	no	—
1048	#126	—	7	1	no	—
1049	#126	—	7	1	no	—
1050	#126	—	7	1	no	—
1051	#126	—	7	1	no	—
1052	#126	—	7	1	no	—
1053	#126	—	7	1	no	—
1054	#126	—	7	1	no	—
1055	#126	—	7	1	no	—
1056	#126	—	7	1	no	—
1057	#126	—	7	1	no	—
1058	#126	C₄×D₇	1	1	yes	characteristic
1059	#126	C₄×D₇	1	1	yes	characteristic
1060	#125	—	7	1	no	—
1061	#125	—	7	1	no	—
1062	#125	—	7	1	no	—
1063	#125	—	7	1	no	—
1064	#125	—	7	1	no	—
1065	#125	—	7	1	no	—
1066	#125	—	7	1	no	—
1067	#125	—	7	1	no	—
1068	#125	—	7	1	no	—
1069	#125	C₄×D₇	1	1	yes	characteristic
1070	#124	—	7	1	no	—
1071	#124	—	7	1	no	—
1072	#124	—	7	1	no	—
1073	#124	—	7	1	no	—
1074	#124	—	7	1	no	—
1075	#124	—	7	1	no	—
1076	#124	—	7	1	no	—
1077	#124	—	7	1	no	—
1078	#124	—	7	1	no	—
1079	#124	C₄×D₇	1	1	yes	characteristic
1080	#123	—	7	1	no	—
1081	#123	—	7	1	no	—
1082	#123	—	7	1	no	—
1083	#123	—	7	1	no	—
1084	#123	—	7	1	no	—
1085	#123	—	7	1	no	—
1086	#123	—	7	1	no	—
1087	#123	—	7	1	no	—
1088	#123	—	7	1	no	—
1089	#123	—	7	1	no	—
1090	#123	—	7	1	no	—
1091	#123	—	7	1	no	—
1092	#123	—	7	1	no	—
1093	#123	—	7	1	no	—
1094	#123	—	7	1	no	—
1095	#123	—	7	1	no	—
1096	#123	—	7	1	no	—
1097	#123	—	7	1	no	—
1098	#123	C₄×D₇	1	1	yes	characteristic
1099	#123	C₄×D₇	1	1	yes	characteristic
1100	C₂²⋊Q₈	—	7	1	no	—
1101	C₂²⋊Q₈	—	7	1	no	—
1102	C₂²⋊Q₈	—	7	1	no	—
1103	C₂²⋊Q₈	—	7	1	no	—
1104	C₂²⋊Q₈	—	7	1	no	—
1105	C₂²⋊Q₈	—	7	1	no	—
1106	C₂²⋊Q₈	—	7	1	no	—
1107	C₂²⋊Q₈	—	7	1	no	—
1108	C₂²⋊Q₈	—	7	1	no	—
1109	C₂²⋊Q₈	—	7	1	no	—
1110	C₂²⋊Q₈	—	7	1	no	—
1111	C₂²⋊Q₈	—	7	1	no	—
1112	C₂²⋊Q₈	—	7	1	no	—
1113	C₂²⋊Q₈	—	7	1	no	—
1114	C₂²⋊Q₈	—	7	1	no	—
1115	C₂²⋊Q₈	C₄×D₇	1	1	yes	characteristic
1116	#121	—	7	1	no	—
1117	#121	—	7	1	no	—
1118	#121	—	7	1	no	—
1119	#121	—	7	1	no	—
1120	#121	—	7	1	no	—
1121	#121	—	7	1	no	—
1122	#121	—	7	1	no	—
1123	#121	—	7	1	no	—
1124	#121	—	7	1	no	—
1125	#121	—	7	1	no	—
1126	#121	—	7	1	no	—
1127	#121	—	7	1	no	—
1128	#121	—	7	1	no	—
1129	#121	—	7	1	no	—
1130	#121	—	7	1	no	—
1131	#121	C₄×D₇	1	1	yes	characteristic
1132	#120	—	7	1	no	—
1133	#120	—	7	1	no	—
1134	#120	—	7	1	no	—
1135	#120	—	7	1	no	—
1136	C₄×Q₈	—	7	1	no	—
1137	C₄×Q₈	—	7	1	no	—
1138	C₄×Q₈	—	7	1	no	—
1139	C₄×Q₈	—	7	1	no	—
1140	C₄×Q₈	—	7	1	no	—
1141	C₄×Q₈	—	7	1	no	—
1142	C₄×Q₈	—	7	1	no	—
1143	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1144	C₄×D₄	—	7	1	no	—
1145	C₄×D₄	—	7	1	no	—
1146	C₄×D₄	—	7	1	no	—
1147	C₄×D₄	—	7	1	no	—
1148	C₄×D₄	—	7	1	no	—
1149	C₄×D₄	—	7	1	no	—
1150	C₄×D₄	—	7	1	no	—
1151	C₄×D₄	—	7	1	no	—
1152	C₄×D₄	—	7	1	no	—
1153	C₄×D₄	—	7	1	no	—
1154	C₄×D₄	—	7	1	no	—
1155	C₄×D₄	—	7	1	no	—
1156	C₄×D₄	—	7	1	no	—
1157	C₄×D₄	—	7	1	no	—
1158	C₄×D₄	—	7	1	no	—
1159	C₄×D₄	—	7	1	no	—
1160	C₄×D₄	—	7	1	no	—
1161	C₄×D₄	—	7	1	no	—
1162	C₄×D₄	—	7	1	no	—
1163	C₄×D₄	—	7	1	no	—
1164	C₄×D₄	—	7	1	no	—
1165	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1166	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1167	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1168	#117	—	7	1	no	—
1169	#117	—	7	1	no	—
1170	#117	—	7	1	no	—
1171	#117	—	7	1	no	—
1172	#117	—	7	1	no	—
1173	#117	—	7	1	no	—
1174	#117	—	7	1	no	—
1175	#117	—	7	1	no	—
1176	#117	—	7	1	no	—
1177	#117	—	7	1	no	—
1178	#117	—	7	1	no	—
1179	#117	—	7	1	no	—
1180	#117	C₂²×D₇	1	1	yes	characteristic
1181	#117	C₂²×D₇	1	1	yes	characteristic
1182	C₂×C₄⋊C₄	—	7	1	no	—
1183	C₂×C₄⋊C₄	—	7	1	no	—
1184	C₂×C₂²⋊C₄	—	7	1	no	—
1185	C₂×C₂²⋊C₄	—	7	1	no	—
1186	C₂×C₄²	—	7	1	no	—
1187	C₂×C₄²	—	7	1	no	—
1188	C₂×C₄²	—	7	1	no	—
1189	C₂×C₄²	—	7	1	no	—
1190	C₂×C₄²	—	7	1	no	—
1191	C₂×C₄²	C₂²×D₇	1	1	yes	characteristic
1192	C₄⋊C₈	—	7	1	no	—
1193	C₄⋊C₈	—	7	1	no	—
1194	C₄⋊C₈	—	7	1	no	—
1195	C₄⋊C₈	—	7	1	no	—
1196	C₄⋊C₈	—	7	1	no	—
1197	C₄⋊C₈	—	7	1	no	—
1198	C₄⋊C₈	—	7	1	no	—
1199	C₄⋊C₈	—	7	1	no	—
1200	C₄⋊C₈	—	7	1	no	—
1201	C₄⋊C₈	—	7	1	no	—
1202	C₄⋊C₈	—	7	1	no	—
1203	C₄⋊C₈	—	7	1	no	—
1204	C₄⋊C₈	—	7	1	no	—
1205	C₄⋊C₈	—	7	1	no	—
1206	C₄⋊C₈	—	7	1	no	—
1207	C₄⋊C₈	—	7	1	no	—
1208	C₄⋊C₈	—	7	1	no	—
1209	C₄⋊C₈	—	7	1	no	—
1210	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1211	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1212	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1213	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1215	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1216	C₂²⋊C₈	—	7	1	no	—
1217	C₂²⋊C₈	—	7	1	no	—
1218	C₂²⋊C₈	—	7	1	no	—
1219	C₂²⋊C₈	—	7	1	no	—
1220	C₂²⋊C₈	—	7	1	no	—
1221	C₂²⋊C₈	—	7	1	no	—
1222	C₂²⋊C₈	—	7	1	no	—
1223	C₂²⋊C₈	—	7	1	no	—
1224	C₂²⋊C₈	—	7	1	no	—
1225	C₂²⋊C₈	—	7	1	no	—
1226	C₂²⋊C₈	—	7	1	no	—
1227	C₂²⋊C₈	—	7	1	no	—
1228	C₂²⋊C₈	—	7	1	no	—
1229	C₂²⋊C₈	—	7	1	no	—
1230	C₂²⋊C₈	—	7	1	no	—
1231	C₂²⋊C₈	—	7	1	no	—
1232	C₂²⋊C₈	—	7	1	no	—
1233	C₂²⋊C₈	—	7	1	no	—
1234	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1235	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1236	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1237	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1238	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1239	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1240	#97	—	7	1	no	—
1241	#97	—	7	1	no	—
1242	#97	—	7	1	no	—
1243	#97	—	7	1	no	—
1244	#97	—	7	1	no	—
1245	#97	—	7	1	no	—
1246	#97	—	7	1	no	—
1247	#97	—	7	1	no	—
1248	#97	—	7	1	no	—
1249	#97	—	7	1	no	—
1250	#97	—	7	1	no	—
1251	#97	—	7	1	no	—
1252	#97	—	7	1	no	—
1253	#97	—	7	1	no	—
1254	#97	C₂²×D₇	1	1	yes	characteristic
1255	#97	C₂²×D₇	1	1	yes	characteristic
1256	#97	C₂²×D₇	1	1	yes	characteristic
1257	#97	C₂²×D₇	1	1	yes	characteristic
1258	#97	C₂²×D₇	1	1	yes	characteristic
1259	#97	C₂²×D₇	1	1	yes	characteristic
1260	C₄×C₈	—	7	1	no	—
1261	C₄×C₈	—	7	1	no	—
1262	C₄×C₈	—	7	1	no	—
1263	C₄×C₈	—	7	1	no	—
1264	C₄×C₈	—	7	1	no	—
1265	C₄×C₈	—	7	1	no	—
1266	C₄×C₈	—	7	1	no	—
1267	C₄×C₈	—	7	1	no	—
1268	C₄×C₈	—	7	1	no	—
1269	C₄×C₈	—	7	1	no	—
1270	C₄×C₈	—	7	1	no	—
1271	C₄×C₈	—	7	1	no	—
1272	C₄×C₈	—	7	1	no	—
1273	C₄×C₈	—	7	1	no	—
1274	C₄×C₈	—	7	1	no	—
1275	C₄×C₈	—	7	1	no	—
1276	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1277	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1278	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1279	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1280	C₂²×C₇	—	2	1	no	—
1281	C₂²×C₇	—	2	1	no	—
1282	C₂²×C₇	—	2	1	no	—
1283	C₂²×C₇	—	2	1	no	—
1284	C₂²×C₇	—	2	1	no	—
1285	C₂²×C₇	—	2	1	no	—
1286	C₂²×C₇	—	2	1	no	—
1287	C₂²×C₇	—	2	1	no	—
1288	C₂²×C₇	—	2	1	no	—
1289	C₂²×C₇	C₂⁴×C₄	1	1	yes	characteristic
1290	C₂×D₇	—	2	1	no	—
1291	C₂×D₇	—	2	1	no	—
1292	C₂×D₇	—	2	1	no	—
1293	C₂×D₇	—	2	1	no	—
1294	C₂×D₇	—	2	1	no	—
1295	C₂×D₇	—	2	1	no	—
1296	C₂×D₇	—	2	1	no	—
1297	C₂×D₇	—	2	1	no	—
1298	C₂×D₇	—	2	1	no	—
1299	C₂×D₇	—	2	1	no	—
1300	C₂×D₇	—	2	1	no	—
1301	C₂×D₇	—	4	4	no	—
1302	C₂×D₇	C₄×#41	1	2	yes	—
1303	C₄×C₇	—	2	1	no	—
1304	C₄×C₇	—	2	1	no	—
1305	C₄×C₇	—	2	1	no	—
1306	C₄×C₇	—	2	1	no	—
1307	C₄×C₇	—	2	1	no	—
1308	C₄×C₇	—	2	1	no	—
1309	C₄×C₇	—	2	1	no	—
1310	C₄×C₇	—	2	1	no	—
1311	C₄×C₇	—	2	1	no	—
1312	C₄×C₇	—	2	1	no	—
1313	C₄×C₇	—	2	1	no	—
1314	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1315	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1316	Dic₇	—	2	1	no	—
1317	Dic₇	—	2	1	no	—
1318	Dic₇	—	2	1	no	—
1319	Dic₇	—	2	1	no	—
1320	Dic₇	—	2	1	no	—
1321	Dic₇	—	2	1	no	—
1322	Dic₇	—	2	1	no	—
1323	Dic₇	—	2	1	no	—
1324	Dic₇	—	2	1	no	—
1325	Dic₇	—	2	1	no	—
1326	Dic₇	—	2	1	no	—
1327	Dic₇	C₄×#41	1	2	yes	—
1328	C₂⁴	—	7	1	no	—
1329	#41	—	14	2	no	—
1330	#41	—	14	2	no	—
1331	#41	—	14	2	no	—
1332	#41	—	14	2	no	—
1333	C₂×Q₈	—	7	1	no	—
1334	C₂×Q₈	—	7	1	no	—
1335	C₂×Q₈	—	7	1	no	—
1336	C₂×Q₈	—	7	1	no	—
1337	C₂×Q₈	—	7	1	no	—
1338	C₂×Q₈	C₂×C₄×D₇	1	1	yes	characteristic
1339	C₂×D₄	—	7	1	no	—
1340	C₂×D₄	—	7	1	no	—
1341	C₂×D₄	—	7	1	no	—
1342	C₂×D₄	—	7	1	no	—
1343	C₂×D₄	—	7	1	no	—
1344	C₂×D₄	—	7	1	no	—
1345	C₂×D₄	—	7	1	no	—
1346	C₂×D₄	—	7	1	no	—
1347	C₂×D₄	—	7	1	no	—
1348	C₂×D₄	—	7	1	no	—
1349	C₂×D₄	—	7	1	no	—
1350	C₂×D₄	—	7	1	no	—
1351	C₂×D₄	—	7	1	no	—
1352	C₂×D₄	—	7	1	no	—
1353	C₂×D₄	—	7	1	no	—
1354	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1355	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1356	C₂×D₄	C₂×C₄×D₇	1	1	yes	characteristic
1357	C₂²×C₄	—	7	1	no	—
1358	C₂²×C₄	—	7	1	no	—
1359	C₂²×C₄	—	7	1	no	—
1360	C₂²×C₄	—	7	1	no	—
1361	C₂²×C₄	—	7	1	no	—
1362	C₂²×C₄	—	7	1	no	—
1363	C₂²×C₄	—	7	1	no	—
1364	C₂²×C₄	—	7	1	no	—
1365	C₂²×C₄	—	7	1	no	—
1366	C₂²×C₄	—	7	1	no	—
1367	C₂²×C₄	—	7	1	no	—
1368	C₂²×C₄	—	7	1	no	—
1369	C₂²×C₄	—	7	1	no	—
1370	C₂²×C₄	—	7	1	no	—
1371	C₂²×C₄	—	7	1	no	—
1372	C₂²×C₄	—	7	1	no	—
1373	C₂²×C₄	—	7	1	no	—
1374	C₂²×C₄	—	14	2	no	—
1375	C₂²×C₄	—	14	2	no	—
1376	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1377	C₂²×C₄	C₂×C₄×D₇	1	1	yes	characteristic
1378	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1379	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1380	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1381	M₁₆	—	2	2	no	—
1382	M₁₆	—	2	2	no	—
1383	M₁₆	—	14	2	no	—
1384	M₁₆	—	14	2	no	—
1385	M₁₆	—	14	2	no	—
1386	M₁₆	—	14	2	no	—
1387	M₁₆	—	14	2	no	—
1388	M₁₆	—	14	2	no	—
1389	M₁₆	—	14	2	no	—
1390	M₁₆	—	14	2	no	—
1391	M₁₆	—	14	2	no	—
1392	M₁₆	—	14	2	no	—
1393	M₁₆	—	14	2	no	—
1394	M₁₆	—	14	2	no	—
1395	M₁₆	—	14	2	no	—
1396	M₁₆	—	14	2	no	—
1397	C₂×C₈	—	2	2	no	—
1398	C₂×C₈	—	2	2	no	—
1399	C₂×C₈	—	2	2	no	—
1400	C₂×C₈	—	2	2	no	—
1401	C₂×C₈	—	7	1	no	—
1402	C₂×C₈	—	7	1	no	—
1403	C₂×C₈	—	7	4	no	—
1404	C₂×C₈	—	7	4	no	—
1405	C₂×C₈	—	7	1	no	—
1406	C₂×C₈	—	7	1	no	—
1407	C₂×C₈	—	7	1	no	—
1408	C₂×C₈	—	7	1	no	—
1409	C₂×C₈	—	7	1	no	—
1410	C₂×C₈	—	7	1	no	—
1411	C₂×C₈	—	14	2	no	—
1412	C₂×C₈	—	14	2	no	—
1413	C₂×C₈	—	14	2	no	—
1414	C₂×C₈	—	14	2	no	—
1415	C₂×C₈	—	14	2	no	—
1416	C₂×C₈	—	14	2	no	—
1417	C₂×C₈	—	14	2	no	—
1418	C₂×C₈	—	14	2	no	—
1419	C₂×C₈	—	14	2	no	—
1420	C₂×C₈	—	14	2	no	—
1421	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1422	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1423	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1424	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1425	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1426	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1427	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1428	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1429	C₄⋊C₄	—	7	1	no	—
1430	C₄⋊C₄	—	7	1	no	—
1431	C₄⋊C₄	—	7	1	no	—
1432	C₄⋊C₄	—	7	1	no	—
1433	C₄⋊C₄	—	7	1	no	—
1434	C₄⋊C₄	—	7	1	no	—
1435	C₄⋊C₄	—	7	1	no	—
1436	C₄⋊C₄	—	7	1	no	—
1437	C₄⋊C₄	—	7	1	no	—
1438	C₄⋊C₄	—	7	1	no	—
1439	C₄⋊C₄	—	7	1	no	—
1440	C₄⋊C₄	—	7	1	no	—
1441	C₄⋊C₄	—	7	1	no	—
1442	C₄⋊C₄	—	7	1	no	—
1443	C₄⋊C₄	—	7	1	no	—
1444	C₄⋊C₄	—	7	1	no	—
1445	C₄⋊C₄	—	7	1	no	—
1446	C₄⋊C₄	—	7	1	no	—
1447	C₄⋊C₄	—	7	1	no	—
1448	C₄⋊C₄	—	7	1	no	—
1449	C₄⋊C₄	—	7	1	no	—
1450	C₄⋊C₄	—	7	1	no	—
1451	C₄⋊C₄	—	7	1	no	—
1452	C₄⋊C₄	—	7	1	no	—
1453	C₄⋊C₄	—	7	1	no	—
1454	C₄⋊C₄	—	7	1	no	—
1455	C₄⋊C₄	—	7	1	no	—
1456	C₄⋊C₄	—	7	1	no	—
1457	C₄⋊C₄	—	7	1	no	—
1458	C₄⋊C₄	—	7	1	no	—
1459	C₄⋊C₄	—	7	1	no	—
1460	C₄⋊C₄	—	7	1	no	—
1461	C₄⋊C₄	—	7	1	no	—
1462	C₄⋊C₄	—	7	1	no	—
1463	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1465	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1471	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1473	C₂²⋊C₄	—	7	1	no	—
1474	C₂²⋊C₄	—	7	1	no	—
1475	C₂²⋊C₄	—	7	1	no	—
1476	C₂²⋊C₄	—	7	1	no	—
1477	C₂²⋊C₄	—	7	1	no	—
1478	C₂²⋊C₄	—	7	1	no	—
1479	C₂²⋊C₄	—	7	1	no	—
1480	C₂²⋊C₄	—	7	1	no	—
1481	C₂²⋊C₄	—	7	1	no	—
1482	C₂²⋊C₄	—	7	1	no	—
1483	C₂²⋊C₄	—	7	1	no	—
1484	C₂²⋊C₄	—	7	1	no	—
1485	C₂²⋊C₄	—	7	1	no	—
1486	C₂²⋊C₄	—	7	1	no	—
1487	C₂²⋊C₄	—	7	1	no	—
1488	C₂²⋊C₄	—	7	1	no	—
1489	C₂²⋊C₄	—	7	1	no	—
1490	C₂²⋊C₄	—	7	1	no	—
1491	C₂²⋊C₄	—	7	1	no	—
1492	C₂²⋊C₄	—	7	1	no	—
1493	C₂²⋊C₄	—	7	1	no	—
1494	C₂²⋊C₄	—	7	1	no	—
1495	C₂²⋊C₄	—	7	1	no	—
1496	C₂²⋊C₄	—	7	1	no	—
1497	C₂²⋊C₄	—	7	1	no	—
1498	C₂²⋊C₄	—	7	1	no	—
1499	C₂²⋊C₄	—	7	1	no	—
1500	C₂²⋊C₄	—	7	1	no	—
1501	C₂²⋊C₄	—	7	1	no	—
1502	C₂²⋊C₄	—	7	1	no	—
1503	C₂²⋊C₄	—	7	1	no	—
1504	C₂²⋊C₄	—	7	1	no	—
1505	C₂²⋊C₄	—	7	1	no	—
1506	C₂²⋊C₄	—	7	1	no	—
1507	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×C₄×D₇	1	1	yes	characteristic
1517	C₄²	—	7	1	no	—
1518	C₄²	—	7	1	no	—
1519	C₄²	—	7	1	no	—
1520	C₄²	—	7	1	no	—
1521	C₄²	—	7	1	no	—
1522	C₄²	—	7	1	no	—
1523	C₄²	—	7	1	no	—
1524	C₄²	—	7	1	no	—
1525	C₄²	—	7	1	no	—
1526	C₄²	—	7	1	no	—
1527	C₄²	—	7	1	no	—
1528	C₄²	—	7	1	no	—
1529	C₄²	—	7	1	no	—
1530	C₄²	—	7	1	no	—
1531	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1532	C₄²	C₂×C₄×D₇	1	1	yes	characteristic
1533	C₄²	C₂³×D₇	1	1	yes	characteristic
1534	C₄²	C₂³×D₇	1	1	yes	characteristic
1535	C₄²	C₂³×D₇	1	1	yes	characteristic
1536	C₄²	C₂³×D₇	1	1	yes	characteristic
1537	C₂×C₇	—	4	1	no	—
1538	C₂×C₇	—	4	1	no	—
1539	C₂×C₇	—	4	1	no	—
1540	C₂×C₇	C₂×C₄×#41	1	1	yes	characteristic
1541	C₂×C₇	#3573	1	1	yes	characteristic
1542	C₂×C₇	#3573	1	1	yes	characteristic
1543	D₇	—	2	2	no	—
1544	D₇	—	4	1	no	—
1545	D₇	—	4	1	no	—
1546	D₇	—	4	1	no	—
1547	C₂³	—	7	1	no	—
1548	C₂³	—	7	1	no	—
1549	C₂³	—	7	1	no	—
1550	C₂³	—	7	1	no	—
1551	C₂³	—	14	2	no	—
1552	C₂³	—	28	1	no	—
1553	C₂³	—	28	1	no	—
1554	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1555	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1556	C₂³	C₂²×C₄×D₇	1	1	yes	characteristic
1557	Q₈	—	4	1	no	—
1558	Q₈	—	14	2	no	—
1559	Q₈	—	14	2	no	—
1560	Q₈	—	28	1	no	—
1561	Q₈	—	28	1	no	—
1562	Q₈	—	28	1	no	—
1563	D₄	—	4	1	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	1	no	—
1566	D₄	—	14	2	no	—
1567	D₄	—	14	2	no	—
1568	D₄	—	14	2	no	—
1569	D₄	—	14	2	no	—
1570	D₄	—	14	2	no	—
1571	D₄	—	14	2	no	—
1572	D₄	—	28	1	no	—
1573	D₄	—	28	1	no	—
1574	D₄	—	28	1	no	—
1575	D₄	—	28	1	no	—
1576	D₄	—	28	1	no	—
1577	D₄	—	28	1	no	—
1578	D₄	—	28	1	no	—
1579	D₄	—	28	1	no	—
1580	D₄	—	28	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	4	1	no	—
1588	C₂×C₄	—	4	1	no	—
1589	C₂×C₄	—	7	1	no	—
1590	C₂×C₄	—	7	2	no	—
1591	C₂×C₄	—	7	2	no	—
1592	C₂×C₄	—	7	1	no	—
1593	C₂×C₄	—	7	1	no	—
1594	C₂×C₄	—	7	1	no	—
1595	C₂×C₄	—	7	1	no	—
1596	C₂×C₄	—	7	1	no	—
1597	C₂×C₄	—	7	1	no	—
1598	C₂×C₄	—	7	1	no	—
1599	C₂×C₄	—	7	1	no	—
1600	C₂×C₄	—	7	1	no	—
1601	C₂×C₄	—	7	1	no	—
1602	C₂×C₄	—	7	1	no	—
1603	C₂×C₄	—	14	2	no	—
1604	C₂×C₄	—	14	2	no	—
1605	C₂×C₄	—	14	2	no	—
1606	C₂×C₄	—	14	1	no	—
1607	C₂×C₄	—	14	1	no	—
1608	C₂×C₄	—	14	1	no	—
1609	C₂×C₄	—	14	1	no	—
1610	C₂×C₄	—	14	1	no	—
1611	C₂×C₄	—	14	1	no	—
1612	C₂×C₄	—	28	1	no	—
1613	C₂×C₄	—	28	1	no	—
1614	C₂×C₄	—	28	1	no	—
1615	C₂×C₄	—	28	1	no	—
1616	C₂×C₄	—	28	1	no	—
1617	C₂×C₄	—	28	1	no	—
1618	C₂×C₄	—	28	1	no	—
1619	C₂×C₄	—	28	1	no	—
1620	C₂×C₄	—	28	1	no	—
1621	C₂×C₄	—	28	1	no	—
1622	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1623	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1627	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1628	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1629	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1630	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1631	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1632	C₂×C₄	C₂²×C₄×D₇	1	1	yes	characteristic
1633	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1634	C₈	—	2	1	no	—
1635	C₈	—	2	1	no	—
1636	C₈	—	2	1	no	—
1637	C₈	—	2	1	no	—
1638	C₈	—	2	1	no	—
1639	C₈	—	2	1	no	—
1640	C₈	—	7	2	no	—
1641	C₈	—	7	2	no	—
1642	C₈	—	14	1	no	—
1643	C₈	—	14	1	no	—
1644	C₈	—	14	1	no	—
1645	C₈	—	14	1	no	—
1646	C₈	—	14	1	no	—
1647	C₈	—	14	1	no	—
1648	C₈	D₇×#41	1	2	yes	—
1649	C₈	D₇×#41	1	2	yes	—
1650	C₇	#60209	1	1	yes	characteristic, complemented, Sylow
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	7	2	no	—
1661	C₂²	—	14	1	no	—
1662	C₂²	—	14	1	no	—
1663	C₂²	—	14	1	no	—
1664	C₂²	—	14	1	no	—
1665	C₂²	—	14	1	no	—
1666	C₂²	—	14	1	no	—
1667	C₂²	—	14	1	no	—
1668	C₂²	—	14	1	no	—
1669	C₂²	—	14	1	no	—
1670	C₂²	—	14	1	no	—
1671	C₂²	—	14	1	no	—
1672	C₂²	—	28	4	no	—
1673	C₂²	C₂³×C₄×D₇	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	7	2	no	—
1686	C₄	—	14	1	no	—
1687	C₄	—	14	1	no	—
1688	C₄	—	14	1	no	—
1689	C₄	—	14	1	no	—
1690	C₄	—	14	1	no	—
1691	C₄	—	14	1	no	—
1692	C₄	—	14	1	no	—
1693	C₄	—	14	1	no	—
1694	C₄	—	14	1	no	—
1695	C₄	—	14	1	no	—
1696	C₄	—	14	1	no	—
1697	C₄	C₂×D₇×#41	1	1	yes	characteristic
1698	C₄	C₂×D₇×#41	1	1	yes	characteristic
1699	C₂	—	4	1	no	—
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	14	2	no	—
1703	C₂	—	28	1	no	—
1704	C₂	—	28	1	no	—
1705	C₂	—	28	1	no	—
1706	C₂	C₄×D₇×#41	1	1	yes	characteristic
1707	C₂	#11744228	1	1	yes	characteristic
1708	C₂	#11744234	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇
commutator, socle	C₂²×C₇	C₂⁴×C₄
Fitting	C₇×#2968	C₂
prime radical	#11743214	C₂
cosocle	C₂×C₄×C₇	C₂⁵
hypercenter	#2968	D₇
hypocenter	C₇	#60209
LCS	G ▷ C₂²×C₇ ▷ C₇
UCS	C₁ ◁ C₂×C₄ ◁ #2968

Complements

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

N	H ≅ G/N	type
2. C₇×#2968	C₂	semidirect
3. #11740574	C₂	semidirect
4. #11737404	C₂	semidirect
5. #11737403	C₂	semidirect
6. #11737387	C₂	semidirect
7. #11737386	C₂	semidirect
8. #11736925	C₂	semidirect
9. #11736924	C₂	semidirect
10. #11736924	C₂	semidirect
11. #11736923	C₂	semidirect
12. #11736904	C₂	semidirect
13. #11736904	C₂	semidirect
14. #11736903	C₂	semidirect
15. #11736902	C₂	semidirect
16. #11736867	C₂	semidirect
17. #11736866	C₂	semidirect
18. #11736848	C₂	semidirect
19. #11736847	C₂	semidirect
20. #11736817	C₂	semidirect
21. #11736816	C₂	semidirect
22. #11736814	C₂	semidirect
23. #11736814	C₂	semidirect
24. #11736728	C₂	semidirect
25. #11736725	C₂	semidirect
26. #11736003	C₂	semidirect
27. #11736003	C₂	semidirect
28. #11735995	C₂	semidirect
29. D₇×#405	C₂	semidirect
30. #11735931	C₂	semidirect
31. #11735926	C₂	semidirect
69. C₇×#446	C₂²	semidirect
70. C₇×#446	C₂²	semidirect
74. C₇×#435	C₂²	semidirect
76. C₇×C₈×D₄	C₂²	semidirect
78. C₇×#433	C₂²	semidirect
79. C₇×#431	C₂²	semidirect
81. C₇×#405	C₂²	semidirect
82. C₂×C₇×#97	C₂²	semidirect
86. #89899	C₂²	semidirect
88. M₁₆×Dic₇	C₂²	semidirect
92. #89883	C₂²	semidirect
95. C₈×C₂²⋊D₇	C₂²	semidirect
96. C₈×C₂²⋊D₇	C₂²	semidirect
98. #89873	C₂²	semidirect
99. #89873	C₂²	semidirect
100. C₂×#6389	C₂²	semidirect
101. #89796	C₂²	semidirect
102. Q₈×C₇⋊C₈	C₂²	semidirect
105. #89784	C₂²	semidirect
107. #89783	C₂²	semidirect
110. #89772	C₂²	semidirect
112. #89769	C₂²	semidirect
113. #89697	C₂²	semidirect
114. C₄×#1136	C₂²	semidirect
117. #89612	C₂²	semidirect
118. #89612	C₂²	semidirect
125. #89610	C₂²	semidirect
129. #89608	C₂²	semidirect
131. #89605	C₂²	semidirect
132. #89605	C₂²	semidirect
133. #89603	C₂²	semidirect
134. #89602	C₂²	semidirect
135. #89602	C₂²	semidirect
136. #89602	C₂²	semidirect
137. #89600	C₂²	semidirect
138. #89600	C₂²	semidirect
140. #89502	C₂²	semidirect
145. #89501	C₂²	semidirect
146. #89501	C₂²	semidirect
148. #89500	C₂²	semidirect
159. #89492	C₂²	semidirect
160. #89492	C₂²	semidirect
161. #89490	C₂²	semidirect
162. #89490	C₂²	semidirect
164. #89481	C₂²	semidirect
170. #89480	C₂²	semidirect
171. #89480	C₂²	semidirect
172. #89480	C₂²	semidirect
174. #89479	C₂²	semidirect
178. #89478	C₂²	semidirect
181. D₇×#97	C₂²	semidirect
182. D₇×#97	C₂²	semidirect
183. #89473	C₂²	semidirect
184. #89473	C₂²	semidirect
185. #89473	C₂²	semidirect
186. #89473	C₂²	semidirect
188. #89462	C₂²	semidirect
192. #89461	C₂²	semidirect
194. C₄×#1131	C₂²	semidirect
196. C₈×D₂₈	C₂²	semidirect
197. #89457	C₂²	semidirect
198. #89457	C₂²	semidirect
201. #89451	C₂²	semidirect
202. #89451	C₂²	semidirect
501. #2968	D₇	semidirect
772. #446	C₂×D₇	semidirect
773. #446	C₂×D₇	semidirect
813. #435	C₂×D₇	semidirect
825. C₈×D₄	C₂×D₇	semidirect
841. #433	C₂×D₇	semidirect
849. #431	C₂×D₇	semidirect
881. #405	C₂×D₇	semidirect
893. C₂×#97	C₂×D₇	semidirect
1650. C₇	#60209	semidirect

Maximal subgroups

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

subgroup	index
#11743214	2
C₇×#2968	2
#11740574	2
#11737404	2
#11737403	2
#11737387	2
#11737386	2
#11736925	2
#11736924	2
#11736923	2
#11736904	2
#11736903	2
#11736902	2
#11736867	2
#11736866	2
#11736848	2
#11736847	2
#11736817	2
#11736816	2
#11736814	2
#11736728	2
#11736725	2
#11736003	2
#11735995	2
D₇×#405	2
#11735931	2
#11735926	2
#60209	7