Subgroups — #14233895

Order 1792.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11744131	C₂	1	1	yes	maximal, characteristic
2	#11744114	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741163	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741153	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739125	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739124	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739122	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739120	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739035	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739008	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738556	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738546	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738440	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738413	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738410	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738401	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738045	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738043	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738031	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738029	C₂	1	1	yes	maximal, characteristic, complemented
22	#11737830	C₂	1	1	yes	maximal, characteristic, complemented
23	#11737817	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737427	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737404	C₂	1	1	yes	maximal, characteristic, complemented
26	#11737221	C₂	1	1	yes	maximal, characteristic, complemented
27	D₇×#440	C₂	1	1	yes	maximal, characteristic, complemented
28	#11737199	C₂	1	1	yes	maximal, characteristic, complemented
29	#11737197	C₂	1	1	yes	maximal, characteristic, complemented
30	#11737164	C₂	1	1	yes	maximal, characteristic, complemented
31	#11737149	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#559	C₂²	1	1	yes	characteristic
33	C₇×Q₈²	C₂²	1	1	yes	characteristic, complemented
34	C₂×#6481	C₂²	1	1	yes	characteristic
35	C₂×#6478	C₂²	1	1	yes	characteristic
36	C₂×D₇×SD₁₆	C₂²	1	1	yes	characteristic
37	#90420	—	2	1	no	—
38	#90420	—	2	1	no	—
39	#90420	C₂²	1	1	yes	characteristic
40	#90420	C₂²	1	1	yes	characteristic
41	#90419	—	2	1	no	—
42	#90419	C₂²	1	1	yes	characteristic
43	#90413	—	2	1	no	—
44	#90413	C₂²	1	1	yes	characteristic, complemented
45	#90412	—	2	1	no	—
46	#90412	—	2	1	no	—
47	#90412	C₂²	1	1	yes	characteristic, complemented
48	#90412	C₂²	1	1	yes	characteristic, complemented
49	#90409	C₂²	1	1	yes	characteristic
50	#90406	C₂²	1	1	yes	characteristic
51	#90372	C₂²	1	1	yes	characteristic
52	#90369	—	2	1	no	—
53	#90365	C₂²	1	1	yes	characteristic
54	#90362	C₂²	1	1	yes	characteristic
55	#90361	—	2	1	no	—
56	#90359	C₂²	1	1	yes	characteristic
57	#90352	—	2	1	no	—
58	#90348	—	2	1	no	—
59	#90347	—	2	1	no	—
60	#90346	—	2	1	no	—
61	#90276	C₂²	1	1	yes	characteristic
62	#90269	—	2	1	no	—
63	#90269	C₂²	1	1	yes	characteristic
64	#90265	C₂²	1	1	yes	characteristic
65	#90263	C₂²	1	1	yes	characteristic
66	#90263	C₂²	1	1	yes	characteristic
67	C₄×Q₈×D₇	C₂²	1	1	yes	characteristic
68	#90261	C₂²	1	1	yes	characteristic, complemented
69	#90260	C₂²	1	1	yes	characteristic, complemented
70	#90260	C₂²	1	1	yes	characteristic, complemented
71	#90259	C₂²	1	1	yes	characteristic
72	#90258	—	2	1	no	—
73	#90258	C₂²	1	1	yes	characteristic, complemented
74	#90250	C₂²	1	1	yes	characteristic
75	#90244	C₂²	1	1	yes	characteristic
76	#90238	—	2	1	no	—
77	#90237	C₂²	1	1	yes	characteristic
78	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
79	#90231	—	2	1	no	—
80	C₇×#489	C₂²	1	1	yes	characteristic
81	C₇×#489	C₂²	1	1	yes	characteristic, complemented
82	C₇×#486	C₂²	1	1	yes	characteristic
83	C₇×#477	C₂²	1	1	yes	characteristic, complemented
84	C₇×#474	C₂²	1	1	yes	characteristic
85	C₇×#474	C₂²	1	1	yes	characteristic, complemented
86	C₇×#464	C₂²	1	1	yes	characteristic
87	C₇×#464	C₂²	1	1	yes	characteristic, complemented
88	C₇×#460	C₂²	1	1	yes	characteristic
89	C₇×#446	C₂²	1	1	yes	characteristic, complemented
90	C₇×#440	C₂²	1	1	yes	characteristic
91	C₇×#440	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₇×Q₁₆	C₂²	1	1	yes	characteristic, complemented
93	#89957	C₂²	1	1	yes	characteristic
94	#89956	C₂²	1	1	yes	characteristic, complemented
95	#89954	C₂²	1	1	yes	characteristic, complemented
96	#89938	C₂²	1	1	yes	characteristic
97	#89936	C₂²	1	1	yes	characteristic
98	#89935	C₂²	1	1	yes	characteristic
99	#89935	C₂²	1	1	yes	characteristic
100	#89935	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₇	C₂²	1	1	yes	characteristic, complemented
102	#89863	C₂²	1	1	yes	characteristic, complemented
103	#89861	C₂²	1	1	yes	characteristic
104	#89861	C₂²	1	1	yes	characteristic, complemented
105	#89860	C₂²	1	1	yes	characteristic
106	#89859	C₂²	1	1	yes	characteristic
107	#89859	C₂²	1	1	yes	characteristic, complemented
108	#89847	C₂²	1	1	yes	characteristic
109	#89843	C₂²	1	1	yes	characteristic
110	#89828	C₂²	1	1	yes	characteristic
111	#89827	C₂²	1	1	yes	characteristic, complemented
112	#89826	C₂²	1	1	yes	characteristic
113	#89826	C₂²	1	1	yes	characteristic, complemented
114	#89802	C₂²	1	1	yes	characteristic, complemented
115	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
116	#89800	C₂²	1	1	yes	characteristic
117	#89800	C₂²	1	1	yes	characteristic, complemented
118	#89799	C₂²	1	1	yes	characteristic
119	#89798	C₂²	1	1	yes	characteristic
120	#89798	C₂²	1	1	yes	characteristic, complemented
121	#89796	C₂²	1	1	yes	characteristic, complemented
122	#89794	C₂²	1	1	yes	characteristic, complemented
123	#89790	C₂²	1	1	yes	characteristic
124	C₄×#1142	C₂²	1	1	yes	characteristic, complemented
125	#89781	C₂²	1	1	yes	characteristic, complemented
126	#89780	C₂²	1	1	yes	characteristic
127	#89663	C₂²	1	1	yes	characteristic
128	#89663	C₂²	1	1	yes	characteristic
129	#89663	C₂²	1	1	yes	characteristic, complemented
130	#89662	C₂²	1	1	yes	characteristic, complemented
131	#89661	C₂²	1	1	yes	characteristic
132	#89661	C₂²	1	1	yes	characteristic, complemented
133	#89653	C₂²	1	1	yes	characteristic
134	#89653	C₂²	1	1	yes	characteristic
135	D₇×#107	C₂²	1	1	yes	characteristic
136	#89649	C₂²	1	1	yes	characteristic, complemented
137	#89647	C₂²	1	1	yes	characteristic, complemented
138	#89645	C₂²	1	1	yes	characteristic, complemented
139	#89620	C₂²	1	1	yes	characteristic
140	#89619	C₂²	1	1	yes	characteristic, complemented
141	#89617	C₂²	1	1	yes	characteristic
142	#89617	C₂²	1	1	yes	characteristic, complemented
143	#89614	C₂²	1	1	yes	characteristic
144	#89611	C₂²	1	1	yes	characteristic
145	#89611	C₂²	1	1	yes	characteristic
146	#89609	C₂²	1	1	yes	characteristic
147	#89603	C₂²	1	1	yes	characteristic, complemented
148	#89601	C₂²	1	1	yes	characteristic, complemented
149	#89600	C₂²	1	1	yes	characteristic, complemented
150	#89600	C₂²	1	1	yes	characteristic, complemented
151	#89589	C₂²	1	1	yes	characteristic
152	#89576	C₂²	1	1	yes	characteristic
153	#89576	C₂²	1	1	yes	characteristic
154	#89575	C₂²	1	1	yes	characteristic
155	D₇×#103	C₂²	1	1	yes	characteristic
156	#89572	C₂²	1	1	yes	characteristic
157	#89571	C₂²	1	1	yes	characteristic, complemented
158	#89570	C₂²	1	1	yes	characteristic
159	#89569	C₂²	1	1	yes	characteristic, complemented
160	#89569	C₂²	1	1	yes	characteristic, complemented
161	#89567	C₂²	1	1	yes	characteristic
162	#89566	C₂²	1	1	yes	characteristic, complemented
163	#89565	C₂²	1	1	yes	characteristic, complemented
164	#89562	C₂²	1	1	yes	characteristic, complemented
165	#89561	C₂²	1	1	yes	characteristic, complemented
166	#89560	C₂²	1	1	yes	characteristic, complemented
167	#89544	C₂²	1	1	yes	characteristic
168	#89544	C₂²	1	1	yes	characteristic
169	#89543	C₂²	1	1	yes	characteristic
170	#89542	C₂²	1	1	yes	characteristic
171	#89542	C₂²	1	1	yes	characteristic
172	D₇×#102	C₂²	1	1	yes	characteristic
173	#89540	C₂²	1	1	yes	characteristic
174	#89539	C₂²	1	1	yes	characteristic
175	#89537	C₂²	1	1	yes	characteristic
176	#89536	C₂²	1	1	yes	characteristic
177	#89536	C₂²	1	1	yes	characteristic
178	#89536	C₂²	1	1	yes	characteristic, complemented
179	#89536	C₂²	1	1	yes	characteristic, complemented
180	#89535	C₂²	1	1	yes	characteristic
181	#89535	C₂²	1	1	yes	characteristic
182	#89535	C₂²	1	1	yes	characteristic, complemented
183	#89534	C₂²	1	1	yes	characteristic
184	#89534	C₂²	1	1	yes	characteristic
185	#89534	C₂²	1	1	yes	characteristic, complemented
186	#89532	C₂²	1	1	yes	characteristic
187	#89532	C₂²	1	1	yes	characteristic
188	#89531	C₂²	1	1	yes	characteristic, complemented
189	#89529	C₂²	1	1	yes	characteristic
190	#89529	C₂²	1	1	yes	characteristic, complemented
191	#89488	C₂²	1	1	yes	characteristic, complemented
192	#89486	C₂²	1	1	yes	characteristic, complemented
193	#89485	C₂²	1	1	yes	characteristic
194	#89482	C₂²	1	1	yes	characteristic
195	#89480	C₂²	1	1	yes	characteristic
196	D₇×#97	C₂²	1	1	yes	characteristic
197	#89473	C₂²	1	1	yes	characteristic, complemented
198	#89473	C₂²	1	1	yes	characteristic, complemented
199	#89469	C₂²	1	1	yes	characteristic
200	C₄×#1132	C₂²	1	1	yes	characteristic, complemented
201	#89461	C₂²	1	1	yes	characteristic
202	#89451	C₂²	1	1	yes	characteristic, complemented
203	#61334	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
206	C₂×#1159	—	2	1	no	—
207	C₂×#1159	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
209	C₂×#1157	—	2	1	no	—
210	C₂²×C₄×D₇	—	2	1	no	—
211	C₂×C₇×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
214	C₇×C₄⋊Q₈	—	2	1	no	—
215	C₇×C₄⋊Q₈	—	2	1	no	—
216	C₇×C₄⋊Q₈	—	2	1	no	—
217	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₇×#127	C₂³	1	1	yes	characteristic
221	C₇×#124	—	2	1	no	—
222	C₇×#124	C₂³	1	1	yes	characteristic
223	C₇×#124	C₂³	1	1	yes	characteristic
224	C₇×#123	—	2	1	no	—
225	C₇×#123	—	2	1	no	—
226	C₄×C₇×Q₈	—	2	1	no	—
227	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₇×D₄	—	2	1	no	—
233	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
235	#6510	—	2	1	no	—
236	#6510	C₂³	1	1	yes	characteristic
237	#6509	—	2	1	no	—
238	#6509	—	2	1	no	—
239	#6509	—	2	1	no	—
240	#6509	D₄	1	1	yes	characteristic
241	Q₈×Dic₇	—	2	1	no	—
242	Q₈×Dic₇	—	2	1	no	—
243	Q₈×Dic₇	—	2	1	no	—
244	Q₈×Dic₇	C₂³	1	1	yes	characteristic
245	Q₈×Dic₇	C₂³	1	1	yes	characteristic
246	Q₈×Dic₇	C₂³	1	1	yes	characteristic
247	Q₈×Dic₇	C₂³	1	1	yes	characteristic
248	#6507	—	2	1	no	—
249	#6507	—	2	1	no	—
250	#6507	—	2	1	no	—
251	#6507	—	2	1	no	—
252	#6507	—	2	1	no	—
253	#6507	—	2	1	no	—
254	#6507	—	2	1	no	—
255	#6507	D₄	1	1	yes	characteristic
256	#6507	C₂³	1	1	yes	characteristic
257	C₂×#1144	C₂³	1	1	yes	characteristic
258	C₂×#1144	C₂³	1	1	yes	characteristic
259	C₂×#1143	C₂³	1	1	yes	characteristic
260	C₂×#1143	C₂³	1	1	yes	characteristic
261	#6503	C₂³	1	1	yes	characteristic
262	#6503	C₂³	1	1	yes	characteristic
263	#6503	C₂³	1	1	yes	characteristic
264	#6502	—	2	1	no	—
265	#6502	—	2	1	no	—
266	#6502	—	2	1	no	—
267	#6502	—	2	1	no	—
268	#6501	—	2	1	no	—
269	#6500	—	2	1	no	—
270	#6500	—	2	1	no	—
271	#6499	C₂³	1	1	yes	characteristic
272	D₄×Dic₇	C₂³	1	1	yes	characteristic
273	D₄×Dic₇	C₂³	1	1	yes	characteristic
274	C₂×#1142	C₂³	1	1	yes	characteristic
275	C₂×#1142	C₂³	1	1	yes	characteristic
276	#6493	—	2	1	no	—
277	#6492	—	2	1	no	—
278	C₄×C₂²⋊D₇	—	2	1	no	—
279	C₄×C₂²⋊D₇	—	2	1	no	—
280	C₄×C₂²⋊D₇	—	2	1	no	—
281	C₂×Dic₇⋊C₄	—	2	1	no	—
282	#6481	—	2	4	no	—
283	#6478	—	2	4	no	—
284	D₇×SD₁₆	—	2	4	no	—
285	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
286	C₂×#1132	C₂³	1	1	yes	characteristic
287	C₂×#1132	C₂³	1	1	yes	characteristic
288	C₂×#1131	C₂³	1	1	yes	characteristic
289	C₂×#1131	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
292	#6461	—	2	1	no	—
293	#6460	—	2	1	no	—
294	#6460	D₄	1	1	yes	characteristic
295	#6459	—	2	1	no	—
296	#6459	—	2	1	no	—
297	#6459	—	2	1	no	—
298	#6459	D₄	1	1	yes	characteristic
299	#6459	D₄	1	1	yes	characteristic
300	#6457	—	2	1	no	—
301	#6457	—	2	1	no	—
302	#6456	—	2	1	no	—
303	#6456	—	2	1	no	—
304	#6456	C₂³	1	1	yes	characteristic
305	#6456	C₂³	1	1	yes	characteristic
306	#6455	—	2	1	no	—
307	#6455	—	2	1	no	—
308	#6455	C₂³	1	1	yes	characteristic
309	#6455	C₂³	1	1	yes	characteristic
310	D₇×C₄⋊C₄	—	2	1	no	—
311	D₇×C₄⋊C₄	—	2	1	no	—
312	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	#6453	—	2	1	no	—
315	#6453	—	2	1	no	—
316	#6453	—	2	1	no	—
317	#6453	—	2	1	no	—
318	#6453	C₂³	1	1	yes	characteristic
319	#6453	C₂³	1	1	yes	characteristic
320	#6453	C₂³	1	1	yes	characteristic
321	#6453	C₂³	1	1	yes	characteristic
322	#6452	—	2	1	no	—
323	#6452	—	2	1	no	—
324	#6452	—	2	1	no	—
325	#6452	—	2	1	no	—
326	#6452	—	2	1	no	—
327	#6452	—	2	1	no	—
328	#6452	—	2	1	no	—
329	#6452	—	2	1	no	—
330	#6452	D₄	1	1	yes	characteristic
331	#6452	D₄	1	1	yes	characteristic
332	#6451	—	2	1	no	—
333	#6451	—	2	1	no	—
334	#6451	—	2	1	no	—
335	#6451	D₄	1	1	yes	characteristic
336	#6451	C₂³	1	1	yes	characteristic
337	#6451	C₂³	1	1	yes	characteristic
338	#6450	—	2	1	no	—
339	#6450	—	2	1	no	—
340	#6450	—	2	1	no	—
341	#6450	—	2	1	no	—
342	#6450	—	2	1	no	—
343	#6450	—	2	1	no	—
344	#6450	C₂³	1	1	yes	characteristic
345	#6450	C₂³	1	1	yes	characteristic
346	#6450	C₂³	1	1	yes	characteristic
347	#6450	C₂³	1	1	yes	characteristic
348	#6449	—	2	1	no	—
349	#6448	—	2	1	no	—
350	#6448	—	2	1	no	—
351	#6447	—	2	1	no	—
352	#6447	—	2	1	no	—
353	#6447	—	2	1	no	—
354	#6447	—	2	1	no	—
355	#6447	—	2	1	no	—
356	#6447	—	2	1	no	—
357	#6446	—	2	1	no	—
358	#6446	—	2	1	no	—
359	#6445	—	2	1	no	—
360	#6445	—	2	1	no	—
361	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
362	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
363	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
364	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
365	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
366	D₇×C₂²⋊C₄	—	2	1	no	—
367	#6442	—	2	1	no	—
368	#6442	—	2	1	no	—
369	#6441	—	2	1	no	—
370	#6440	—	2	1	no	—
371	#6440	—	2	1	no	—
372	#6439	—	2	1	no	—
373	#6438	C₂³	1	1	yes	characteristic
374	#6438	C₂³	1	1	yes	characteristic
375	#6437	C₂³	1	1	yes	characteristic
376	C₄×D₂₈	—	2	1	no	—
377	C₄×D₂₈	C₂³	1	1	yes	characteristic
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	#6435	—	2	1	no	—
380	#6435	—	2	1	no	—
381	#6435	—	2	1	no	—
382	#6435	—	2	1	no	—
383	#6435	C₂³	1	1	yes	characteristic
384	#6435	C₂³	1	1	yes	characteristic
385	C₄²×D₇	—	2	1	no	—
386	C₄²×D₇	C₂³	1	1	yes	characteristic
387	#6433	—	2	1	no	—
388	#6433	—	2	1	no	—
389	#6433	C₂³	1	1	yes	characteristic
390	#6433	C₂³	1	1	yes	characteristic
391	#6432	—	2	1	no	—
392	#6432	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₄	—	2	1	no	—
394	C₄×Dic₁₄	—	2	1	no	—
395	C₄×Dic₁₄	—	2	1	no	—
396	C₄×Dic₁₄	—	2	1	no	—
397	C₄×Dic₁₄	—	2	1	no	—
398	C₄×Dic₁₄	—	2	1	no	—
399	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
401	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
406	C₇×#107	C₂³	1	1	yes	characteristic
407	C₇×#107	C₂³	1	1	yes	characteristic
408	C₇×#107	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₇×#103	C₂³	1	1	yes	characteristic
413	C₇×#103	C₂³	1	1	yes	characteristic
414	C₇×#103	C₂³	1	1	yes	characteristic
415	C₇×#103	C₂³	1	1	yes	characteristic
416	C₇×#102	C₂³	1	1	yes	characteristic
417	C₇×#102	C₂³	1	1	yes	characteristic
418	C₇×#102	C₂³	1	1	yes	characteristic
419	C₇×#102	C₂³	1	1	yes	characteristic
420	C₇×#102	C₂³	1	1	yes	characteristic
421	C₇×#102	C₂³	1	1	yes	characteristic
422	C₇×#97	C₂³	1	1	yes	characteristic
423	C₇×#97	C₂³	1	1	yes	characteristic
424	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
425	#6409	C₂³	1	1	yes	characteristic
426	#6409	C₂³	1	1	yes	characteristic
427	#6409	C₂³	1	1	yes	characteristic
428	#6409	C₂³	1	1	yes	characteristic
429	#6406	C₂³	1	1	yes	characteristic
430	#6406	C₂³	1	1	yes	characteristic
431	#6406	C₂³	1	1	yes	characteristic
432	#6406	C₂³	1	1	yes	characteristic
433	#6406	C₂³	1	1	yes	characteristic
434	#6406	C₂³	1	1	yes	characteristic
435	#6395	C₂³	1	1	yes	characteristic
436	#6395	C₂³	1	1	yes	characteristic
437	#6395	C₂³	1	1	yes	characteristic
438	#6395	C₂³	1	1	yes	characteristic
439	#6395	C₂³	1	1	yes	characteristic
440	#6395	C₂³	1	1	yes	characteristic
441	#6392	C₂³	1	1	yes	characteristic
442	#6391	C₂³	1	1	yes	characteristic
443	#6391	C₂³	1	1	yes	characteristic
444	#6390	C₂³	1	1	yes	characteristic
445	#6390	C₂³	1	1	yes	characteristic
446	#6390	C₂³	1	1	yes	characteristic
447	#6390	C₂³	1	1	yes	characteristic
448	#6389	C₂³	1	1	yes	characteristic
449	#6389	C₂³	1	1	yes	characteristic
450	#6389	C₂³	1	1	yes	characteristic
451	#6389	C₂³	1	1	yes	characteristic
452	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	C₈×Dic₇	C₂³	1	1	yes	characteristic
459	C₈×Dic₇	C₂³	1	1	yes	characteristic
460	#6384	C₂³	1	1	yes	characteristic
461	#6384	C₂³	1	1	yes	characteristic
462	#6384	C₂³	1	1	yes	characteristic
463	#6384	C₂³	1	1	yes	characteristic
464	#6383	C₂³	1	1	yes	characteristic
465	#6383	C₂³	1	1	yes	characteristic
466	#6383	C₂³	1	1	yes	characteristic
467	#6383	C₂³	1	1	yes	characteristic
468	#6383	C₂³	1	1	yes	characteristic
469	#6383	C₂³	1	1	yes	characteristic
470	#6382	C₂³	1	1	yes	characteristic
471	#6382	C₂³	1	1	yes	characteristic
472	#6381	C₂³	1	1	yes	characteristic
473	#6381	C₂³	1	1	yes	characteristic
474	#6381	C₂³	1	1	yes	characteristic
475	#6381	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
478	C₄⋊(C₇⋊C₈)	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	#3506	—	7	1	no	—
483	#3502	—	7	1	no	—
484	#3377	—	7	1	no	—
485	#3377	—	7	1	no	—
486	#3377	—	7	1	no	—
487	#3377	—	7	1	no	—
488	#3375	—	7	1	no	—
489	#3375	—	7	1	no	—
490	#3375	—	7	1	no	—
491	#3375	D₇	1	1	yes	characteristic, complemented
492	#3371	—	7	1	no	—
493	#3371	—	7	1	no	—
494	#3371	—	7	1	no	—
495	#3371	—	7	1	no	—
496	#3368	—	7	1	no	—
497	#3368	—	7	1	no	—
498	#3368	—	7	1	no	—
499	#3368	—	7	1	no	—
500	#3136	—	7	1	no	—
501	#3136	—	7	1	no	—
502	#3135	—	7	1	no	—
503	#3083	—	7	1	no	—
504	#3083	—	7	1	no	—
505	#3077	—	7	1	no	—
506	#3043	—	7	1	no	—
507	#3043	—	7	1	no	—
508	#3037	—	7	1	no	—
509	#2961	—	7	1	no	—
510	#2947	—	7	1	no	—
511	#2947	—	7	1	no	—
512	C₂×#440	—	7	1	no	—
513	C₂³×D₇	—	2	1	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×Q₈	—	2	1	no	—
516	C₂×C₇×Q₈	—	2	1	no	—
517	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
518	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₇×D₄	—	2	1	no	—
521	C₂×C₇×D₄	—	2	1	no	—
522	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
523	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₇	—	2	1	no	—
525	C₂²×C₄×C₇	—	2	1	no	—
526	C₂×C₂²⋊D₇	—	2	1	no	—
527	C₂×C₂²⋊D₇	—	2	1	no	—
528	C₂×C₂²⋊D₇	—	2	1	no	—
529	C₂×C₂²⋊D₇	—	2	1	no	—
530	C₂×C₂²⋊D₇	—	2	1	no	—
531	C₂×C₂²⋊D₇	—	2	1	no	—
532	C₂×C₂²⋊D₇	—	2	1	no	—
533	C₂×C₂²⋊D₇	—	2	1	no	—
534	C₂²×Dic₇	—	2	1	no	—
535	C₂²×Dic₇	—	2	1	no	—
536	C₂²×Dic₇	—	2	1	no	—
537	#1161	—	2	2	no	—
538	#1161	—	2	2	no	—
539	Q₈×D₇	—	2	2	no	—
540	Q₈×D₇	#41	1	4	yes	complemented
541	#1159	—	2	2	no	—
542	#1159	—	2	2	no	—
543	#1159	—	8	2	no	—
544	D₄×D₇	—	2	2	no	—
545	D₄×D₇	—	2	2	no	—
546	#1157	—	8	2	no	—
547	C₂×D₂₈	—	2	1	no	—
548	C₂×D₂₈	—	2	1	no	—
549	C₂×D₂₈	—	2	1	no	—
550	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
551	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₇	—	2	1	no	—
553	C₂×C₄×D₇	—	2	1	no	—
554	C₂×C₄×D₇	—	2	1	no	—
555	C₂×C₄×D₇	—	2	1	no	—
556	C₂×C₄×D₇	—	2	1	no	—
557	C₂×C₄×D₇	—	2	1	no	—
558	C₂×C₄×D₇	—	2	1	no	—
559	C₂×C₄×D₇	—	2	1	no	—
560	C₂×C₄×D₇	—	8	2	no	—
561	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
564	C₂×Dic₁₄	—	2	1	no	—
565	C₂×Dic₁₄	—	2	1	no	—
566	C₂×Dic₁₄	—	2	1	no	—
567	C₂×Dic₁₄	—	2	1	no	—
568	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
570	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
571	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
573	C₇×Q₁₆	—	2	2	no	—
574	C₇×SD₁₆	—	2	2	no	—
575	C₇×SD₁₆	—	2	2	no	—
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	C₇×C₄⋊C₄	—	2	1	no	—
581	C₇×C₄⋊C₄	—	2	1	no	—
582	C₇×C₄⋊C₄	—	2	1	no	—
583	C₇×C₄⋊C₄	—	2	1	no	—
584	C₇×C₄⋊C₄	—	2	1	no	—
585	C₇×C₄⋊C₄	—	2	1	no	—
586	C₇×C₄⋊C₄	—	2	1	no	—
587	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₇×C₂²⋊C₄	—	2	1	no	—
595	C₇×C₂²⋊C₄	—	2	1	no	—
596	C₇×C₂²⋊C₄	—	2	1	no	—
597	C₇×C₂²⋊C₄	—	2	1	no	—
598	C₇×C₂²⋊C₄	—	2	1	no	—
599	C₇×C₂²⋊C₄	—	2	1	no	—
600	C₄²×C₇	—	2	1	no	—
601	C₄²×C₇	—	2	1	no	—
602	C₄²×C₇	—	2	1	no	—
603	C₄²×C₇	—	2	1	no	—
604	C₄²×C₇	C₂⁴	1	1	yes	characteristic
605	C₄²×C₇	C₂⁴	1	1	yes	characteristic
606	C₄²×C₇	C₂⁴	1	1	yes	characteristic
607	C₂²⋊Dic₇	—	2	1	no	—
608	C₂²⋊Dic₇	—	2	1	no	—
609	C₂²⋊Dic₇	—	2	1	no	—
610	C₂²⋊Dic₇	—	2	1	no	—
611	#1144	—	2	2	no	—
612	#1144	—	2	2	no	—
613	#1143	—	2	2	no	—
614	#1143	—	2	2	no	—
615	#1142	—	2	2	no	—
616	#1142	—	2	2	no	—
617	(C₂×D₇)⋊C₄	—	2	1	no	—
618	(C₂×D₇)⋊C₄	—	2	1	no	—
619	(C₂×D₇)⋊C₄	—	2	1	no	—
620	(C₂×D₇)⋊C₄	—	2	1	no	—
621	(C₂×D₇)⋊C₄	—	2	1	no	—
622	(C₂×D₇)⋊C₄	—	2	1	no	—
623	(C₂×D₇)⋊C₄	—	2	1	no	—
624	(C₂×D₇)⋊C₄	—	2	1	no	—
625	(C₂×D₇)⋊C₄	—	2	1	no	—
626	(C₂×D₇)⋊C₄	—	2	1	no	—
627	(C₂×D₇)⋊C₄	—	2	1	no	—
628	(C₂×D₇)⋊C₄	—	2	1	no	—
629	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
630	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
631	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
632	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₄⋊Dic₇	—	2	1	no	—
634	C₄⋊Dic₇	—	2	1	no	—
635	C₄⋊Dic₇	—	2	1	no	—
636	C₄⋊Dic₇	—	2	1	no	—
637	C₄⋊Dic₇	—	2	1	no	—
638	C₄⋊Dic₇	—	2	1	no	—
639	C₄⋊Dic₇	—	2	1	no	—
640	C₄⋊Dic₇	—	2	1	no	—
641	C₄⋊Dic₇	—	2	1	no	—
642	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
643	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
646	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
647	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
649	Dic₇⋊C₄	—	2	1	no	—
650	Dic₇⋊C₄	—	2	1	no	—
651	Dic₇⋊C₄	—	2	1	no	—
652	Dic₇⋊C₄	—	2	1	no	—
653	Dic₇⋊C₄	—	2	1	no	—
654	Dic₇⋊C₄	—	2	1	no	—
655	Dic₇⋊C₄	—	2	1	no	—
656	Dic₇⋊C₄	—	2	1	no	—
657	Dic₇⋊C₄	—	2	1	no	—
658	Dic₇⋊C₄	—	2	1	no	—
659	Dic₇⋊C₄	—	2	1	no	—
660	Dic₇⋊C₄	—	2	1	no	—
661	Dic₇⋊C₄	—	2	1	no	—
662	Dic₇⋊C₄	—	2	1	no	—
663	Dic₇⋊C₄	—	2	1	no	—
664	Dic₇⋊C₄	—	2	1	no	—
665	Dic₇⋊C₄	—	2	1	no	—
666	Dic₇⋊C₄	—	2	1	no	—
667	Dic₇⋊C₄	—	2	1	no	—
668	Dic₇⋊C₄	—	2	1	no	—
669	Dic₇⋊C₄	—	2	1	no	—
670	Dic₇⋊C₄	—	2	1	no	—
671	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
672	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
673	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
674	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
675	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
676	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
677	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
678	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
679	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
680	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₇	—	2	1	no	—
682	C₄×Dic₇	—	2	1	no	—
683	C₄×Dic₇	—	2	1	no	—
684	C₄×Dic₇	—	2	1	no	—
685	C₄×Dic₇	—	2	1	no	—
686	C₄×Dic₇	—	2	1	no	—
687	C₄×Dic₇	—	2	1	no	—
688	C₄×Dic₇	—	2	1	no	—
689	C₄×Dic₇	—	2	1	no	—
690	C₄×Dic₇	—	2	1	no	—
691	C₄×Dic₇	—	2	1	no	—
692	C₄×Dic₇	—	2	1	no	—
693	C₄×Dic₇	—	2	1	no	—
694	C₄×Dic₇	—	2	1	no	—
695	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
699	C₄×Dic₇	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	Dic₂₈	—	2	2	no	—
705	#1132	—	2	2	no	—
706	#1132	—	2	2	no	—
707	#1131	—	2	2	no	—
708	#1131	—	2	2	no	—
709	C₈×D₇	—	2	2	no	—
710	C₈×D₇	—	2	2	no	—
711	C₂×#137	—	7	1	no	—
712	C₂×#137	—	7	1	no	—
713	C₂²×SD₁₆	—	7	1	no	—
714	#559	—	7	1	no	—
715	#559	—	7	1	no	—
716	#559	—	7	1	no	—
717	#559	C₂×D₇	1	1	yes	characteristic
718	Q₈²	—	7	1	no	—
719	Q₈²	—	14	1	no	—
720	Q₈²	C₂×D₇	1	1	yes	characteristic, complemented
721	#557	—	7	1	no	—
722	#557	—	7	1	no	—
723	#557	—	7	1	no	—
724	#557	—	7	1	no	—
725	#557	—	7	1	no	—
726	#557	—	7	1	no	—
727	#557	—	14	1	no	—
728	#557	—	14	1	no	—
729	#557	—	14	1	no	—
730	#556	—	7	1	no	—
731	#556	—	7	1	no	—
732	#555	—	14	1	no	—
733	#553	—	14	1	no	—
734	#553	—	14	1	no	—
735	#550	—	7	1	no	—
736	#550	—	7	1	no	—
737	#547	—	14	1	no	—
738	#544	—	7	1	no	—
739	#544	—	7	1	no	—
740	#544	—	14	1	no	—
741	#544	—	14	1	no	—
742	#538	—	14	1	no	—
743	#538	—	14	1	no	—
744	#535	—	7	1	no	—
745	#535	—	7	1	no	—
746	#533	—	7	1	no	—
747	#533	—	7	1	no	—
748	#533	—	14	1	no	—
749	#533	—	14	1	no	—
750	#532	—	7	1	no	—
751	#525	—	14	1	no	—
752	#525	—	14	1	no	—
753	#520	—	7	1	no	—
754	#520	—	7	1	no	—
755	#519	—	7	1	no	—
756	#519	—	7	1	no	—
757	C₂×C₄×Q₈	—	7	1	no	—
758	C₂×C₄×D₄	—	7	1	no	—
759	#491	—	7	1	no	—
760	#491	—	7	1	no	—
761	#490	—	7	1	no	—
762	#490	—	7	1	no	—
763	#490	—	7	1	no	—
764	#490	—	7	1	no	—
765	#490	—	7	1	no	—
766	#490	—	7	1	no	—
767	#489	—	7	1	no	—
768	#489	—	7	1	no	—
769	#489	—	7	1	no	—
770	#489	—	7	1	no	—
771	#489	—	7	1	no	—
772	#489	—	7	1	no	—
773	#489	C₂×D₇	1	1	yes	characteristic
774	#489	C₂×D₇	1	1	yes	characteristic, complemented
775	#488	—	7	1	no	—
776	#488	—	7	1	no	—
777	#488	—	7	1	no	—
778	#488	—	7	1	no	—
779	#486	—	7	1	no	—
780	#486	—	7	1	no	—
781	#486	—	7	1	no	—
782	#486	C₂×D₇	1	1	yes	characteristic
783	#479	—	7	1	no	—
784	#479	—	7	1	no	—
785	#479	—	7	1	no	—
786	#479	—	7	1	no	—
787	#478	—	7	1	no	—
788	#478	—	7	1	no	—
789	#478	—	7	1	no	—
790	#478	—	7	1	no	—
791	#478	—	7	1	no	—
792	#478	—	7	1	no	—
793	#478	—	7	1	no	—
794	#478	—	7	1	no	—
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	—	7	1	no	—
798	#477	C₂×D₇	1	1	yes	characteristic, complemented
799	#476	—	7	1	no	—
800	#476	—	7	1	no	—
801	#474	—	7	1	no	—
802	#474	—	7	1	no	—
803	#474	—	7	1	no	—
804	#474	—	7	1	no	—
805	#474	C₂×D₇	1	1	yes	characteristic
806	#474	C₂×D₇	1	1	yes	characteristic, complemented
807	#464	—	7	1	no	—
808	#464	—	7	1	no	—
809	#464	—	7	1	no	—
810	#464	—	7	1	no	—
811	#464	—	7	1	no	—
812	#464	—	7	1	no	—
813	#464	—	7	1	no	—
814	#464	—	7	1	no	—
815	#464	—	7	1	no	—
816	#464	—	7	1	no	—
817	#464	C₂×D₇	1	1	yes	characteristic
818	#464	C₂×D₇	1	1	yes	characteristic, complemented
819	#462	—	7	1	no	—
820	#462	—	7	1	no	—
821	#460	—	7	1	no	—
822	#460	—	7	1	no	—
823	#460	—	7	1	no	—
824	#460	—	7	1	no	—
825	#460	—	7	1	no	—
826	#460	—	7	1	no	—
827	#460	—	7	1	no	—
828	#460	—	7	1	no	—
829	#460	—	7	1	no	—
830	#460	C₂×D₇	1	1	yes	characteristic
831	#446	—	7	1	no	—
832	#446	—	7	1	no	—
833	#446	—	7	1	no	—
834	#446	—	7	1	no	—
835	#446	—	7	1	no	—
836	#446	—	7	1	no	—
837	#446	—	7	1	no	—
838	#446	C₂×D₇	1	1	yes	characteristic, complemented
839	#441	—	7	1	no	—
840	#441	—	7	1	no	—
841	#441	—	7	1	no	—
842	#441	—	7	1	no	—
843	#440	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	—	7	1	no	—
846	#440	—	7	1	no	—
847	#440	—	7	1	no	—
848	#440	—	7	1	no	—
849	#440	—	7	1	no	—
850	#440	—	7	1	no	—
851	#440	—	7	1	no	—
852	#440	—	7	1	no	—
853	#440	C₂×D₇	1	1	yes	characteristic
854	#440	C₂×D₇	1	1	yes	characteristic, complemented
855	C₄×Q₁₆	—	7	1	no	—
856	C₄×Q₁₆	—	7	1	no	—
857	C₄×Q₁₆	—	7	1	no	—
858	C₄×Q₁₆	C₂×D₇	1	1	yes	characteristic, complemented
859	C₄×SD₁₆	—	7	1	no	—
860	C₄×SD₁₆	—	7	1	no	—
861	C₄×SD₁₆	—	7	1	no	—
862	C₄×SD₁₆	—	7	1	no	—
863	#428	—	7	1	no	—
864	#428	—	7	1	no	—
865	C₂×#107	—	7	1	no	—
866	#424	—	7	1	no	—
867	#424	—	7	1	no	—
868	#423	—	7	1	no	—
869	#418	—	7	1	no	—
870	#418	—	7	1	no	—
871	#417	—	7	1	no	—
872	#417	—	7	1	no	—
873	#416	—	7	1	no	—
874	#416	—	7	1	no	—
875	#416	—	7	1	no	—
876	#416	—	7	1	no	—
877	C₂×#103	—	7	1	no	—
878	C₂×#102	—	7	1	no	—
879	#405	—	7	1	no	—
880	#405	—	7	1	no	—
881	C₂×#97	—	7	1	no	—
882	C₂³×C₇	—	2	1	no	—
883	C₂³×C₇	—	2	1	no	—
884	C₂²×D₇	—	2	1	no	—
885	C₂²×D₇	—	2	1	no	—
886	C₂²×D₇	—	4	2	no	—
887	C₂²×D₇	—	8	1	no	—
888	C₂²×D₇	—	8	1	no	—
889	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
890	C₇×Q₈	—	2	1	no	—
891	C₇×Q₈	—	2	1	no	—
892	C₇×Q₈	—	2	1	no	—
893	C₇×Q₈	—	4	1	no	—
894	C₇×Q₈	—	8	1	no	—
895	C₇×Q₈	—	8	1	no	—
896	C₇×Q₈	—	8	1	no	—
897	C₇×Q₈	C₂×#41	1	2	yes	—
898	C₇×D₄	—	2	1	no	—
899	C₇×D₄	—	2	1	no	—
900	C₇×D₄	—	2	1	no	—
901	C₇×D₄	—	2	1	no	—
902	C₇×D₄	—	8	1	no	—
903	C₇×D₄	—	8	1	no	—
904	C₂×C₄×C₇	—	2	1	no	—
905	C₂×C₄×C₇	—	2	1	no	—
906	C₂×C₄×C₇	—	2	1	no	—
907	C₂×C₄×C₇	—	2	1	no	—
908	C₂×C₄×C₇	—	2	1	no	—
909	C₂×C₄×C₇	—	2	1	no	—
910	C₂×C₄×C₇	—	8	1	no	—
911	C₂×C₄×C₇	—	8	1	no	—
912	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
919	C₂²⋊D₇	—	4	2	no	—
920	C₂²⋊D₇	—	4	2	no	—
921	C₂²⋊D₇	—	4	2	no	—
922	C₂²⋊D₇	—	8	1	no	—
923	C₂²⋊D₇	—	8	1	no	—
924	C₂²⋊D₇	—	8	1	no	—
925	C₂²⋊D₇	—	8	1	no	—
926	C₂²⋊D₇	—	8	1	no	—
927	C₂×Dic₇	—	2	1	no	—
928	C₂×Dic₇	—	2	1	no	—
929	C₂×Dic₇	—	2	1	no	—
930	C₂×Dic₇	—	2	1	no	—
931	C₂×Dic₇	—	2	1	no	—
932	C₂×Dic₇	—	2	1	no	—
933	C₂×Dic₇	—	4	2	no	—
934	C₂×Dic₇	—	4	2	no	—
935	C₂×Dic₇	—	8	1	no	—
936	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
937	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
938	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
939	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
941	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
942	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
943	D₂₈	—	2	1	no	—
944	D₂₈	—	2	1	no	—
945	D₂₈	—	2	1	no	—
946	D₂₈	—	2	1	no	—
947	D₂₈	—	4	2	no	—
948	D₂₈	—	8	1	no	—
949	D₂₈	—	8	1	no	—
950	C₄×D₇	—	2	4	no	—
951	C₄×D₇	—	4	1	no	—
952	C₄×D₇	—	4	1	no	—
953	C₄×D₇	—	4	2	no	—
954	C₄×D₇	—	4	2	no	—
955	C₄×D₇	—	8	1	no	—
956	C₄×D₇	—	8	1	no	—
957	C₄×D₇	—	8	1	no	—
958	C₄×D₇	—	8	1	no	—
959	C₄×D₇	—	8	1	no	—
960	C₄×D₇	C₂×#41	1	2	yes	—
961	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
962	Dic₁₄	—	2	1	no	—
963	Dic₁₄	—	2	4	no	—
964	Dic₁₄	—	2	1	no	—
965	Dic₁₄	—	2	1	no	—
966	Dic₁₄	—	4	1	no	—
967	Dic₁₄	—	4	1	no	—
968	Dic₁₄	—	4	1	no	—
969	Dic₁₄	—	4	2	no	—
970	Dic₁₄	—	8	1	no	—
971	Dic₁₄	—	8	1	no	—
972	Dic₁₄	C₂×#41	1	2	yes	—
973	C₇×C₈	—	2	1	no	—
974	C₇×C₈	—	2	1	no	—
975	C₇×C₈	—	2	1	no	—
976	C₇×C₈	—	2	1	no	—
977	C₇⋊C₈	—	2	1	no	—
978	C₇⋊C₈	—	2	1	no	—
979	C₇⋊C₈	—	2	1	no	—
980	C₇⋊C₈	—	2	1	no	—
981	C₂×#41	—	7	1	no	—
982	C₂×#41	—	7	1	no	—
983	C₂×#41	—	14	1	no	—
984	C₂×#41	—	14	1	no	—
985	C₂²×Q₈	—	7	1	no	—
986	C₂²×D₄	—	7	1	no	—
987	C₂³×C₄	—	14	1	no	—
988	#137	—	14	4	no	—
989	#137	—	14	4	no	—
990	C₂×Q₁₆	—	7	1	no	—
991	C₂×Q₁₆	—	7	1	no	—
992	C₂×Q₁₆	—	7	1	no	—
993	C₂×Q₁₆	C₂²×D₇	1	1	yes	characteristic
994	C₂×SD₁₆	—	7	1	no	—
995	C₂×SD₁₆	—	7	1	no	—
996	C₂×SD₁₆	—	7	1	no	—
997	C₂×SD₁₆	—	7	1	no	—
998	C₂×SD₁₆	—	7	1	no	—
999	C₂×SD₁₆	—	7	1	no	—
1000	C₂×SD₁₆	—	14	4	no	—
1001	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
1002	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
1003	C₂×M₁₆	—	7	1	no	—
1004	C₂×M₁₆	—	7	1	no	—
1005	C₂²×C₈	—	7	1	no	—
1006	C₂²×C₈	—	7	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	—	2	1	no	—
1009	C₄⋊Q₈	—	2	1	no	—
1010	C₄⋊Q₈	—	7	1	no	—
1011	C₄⋊Q₈	—	7	1	no	—
1012	C₄⋊Q₈	—	7	1	no	—
1013	C₄⋊Q₈	—	7	1	no	—
1014	C₄⋊Q₈	—	7	1	no	—
1015	C₄⋊Q₈	—	7	1	no	—
1016	C₄⋊Q₈	—	14	1	no	—
1017	C₄⋊Q₈	—	14	1	no	—
1018	C₄⋊Q₈	—	14	1	no	—
1019	C₄⋊Q₈	—	14	1	no	—
1020	C₄⋊Q₈	—	14	1	no	—
1021	C₄⋊Q₈	—	14	1	no	—
1022	C₄⋊Q₈	—	14	1	no	—
1023	C₄⋊Q₈	—	14	1	no	—
1024	C₄⋊Q₈	—	14	1	no	—
1025	C₄⋊Q₈	—	14	1	no	—
1026	C₄⋊Q₈	—	14	1	no	—
1027	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1028	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1029	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1030	#127	—	7	1	no	—
1031	#127	—	7	1	no	—
1032	#127	—	7	1	no	—
1033	#127	—	7	1	no	—
1034	#127	C₂²×D₇	1	1	yes	characteristic
1035	#126	—	14	1	no	—
1036	#126	—	14	1	no	—
1037	#126	—	14	1	no	—
1038	#126	—	14	1	no	—
1039	#125	—	7	1	no	—
1040	#125	—	7	1	no	—
1041	#125	—	7	1	no	—
1042	#125	—	7	1	no	—
1043	#125	—	7	1	no	—
1044	#125	—	7	1	no	—
1045	#125	—	7	1	no	—
1046	#125	—	7	1	no	—
1047	#125	—	14	1	no	—
1048	#125	—	14	1	no	—
1049	#125	—	14	1	no	—
1050	#125	—	14	1	no	—
1051	#125	—	14	1	no	—
1052	#125	—	14	1	no	—
1053	#125	—	14	1	no	—
1054	#125	—	14	1	no	—
1055	#125	—	14	1	no	—
1056	#125	—	14	1	no	—
1057	#125	—	14	1	no	—
1058	#125	—	14	1	no	—
1059	#125	—	14	1	no	—
1060	#125	—	14	1	no	—
1061	#124	—	2	1	no	—
1062	#124	—	7	1	no	—
1063	#124	—	7	1	no	—
1064	#124	—	7	1	no	—
1065	#124	—	7	1	no	—
1066	#124	—	14	1	no	—
1067	#124	—	14	1	no	—
1068	#124	—	14	1	no	—
1069	#124	C₂²×D₇	1	1	yes	characteristic
1070	#124	C₂²×D₇	1	1	yes	characteristic
1071	#123	—	2	1	no	—
1072	#123	—	2	1	no	—
1073	#123	—	14	1	no	—
1074	#123	—	14	1	no	—
1075	#123	—	14	1	no	—
1076	#123	—	14	1	no	—
1077	#123	—	14	1	no	—
1078	#123	—	14	1	no	—
1079	C₂²⋊Q₈	—	7	1	no	—
1080	C₂²⋊Q₈	—	7	1	no	—
1081	C₂²⋊Q₈	—	7	1	no	—
1082	C₂²⋊Q₈	—	7	1	no	—
1083	C₂²⋊Q₈	—	14	1	no	—
1084	C₂²⋊Q₈	—	14	1	no	—
1085	C₂²⋊Q₈	—	14	1	no	—
1086	C₂²⋊Q₈	—	14	1	no	—
1087	C₂²⋊Q₈	—	14	1	no	—
1088	C₂²⋊Q₈	—	14	1	no	—
1089	C₂²⋊Q₈	—	14	1	no	—
1090	C₂²⋊Q₈	—	14	1	no	—
1091	#121	—	14	1	no	—
1092	#121	—	14	1	no	—
1093	#121	—	14	1	no	—
1094	#121	—	14	1	no	—
1095	#121	—	14	1	no	—
1096	#121	—	14	1	no	—
1097	#121	—	14	1	no	—
1098	#121	—	14	1	no	—
1099	#121	—	14	1	no	—
1100	#121	—	14	1	no	—
1101	#121	—	14	1	no	—
1102	#121	—	14	1	no	—
1103	#120	—	14	1	no	—
1104	#120	—	14	1	no	—
1105	#120	—	14	1	no	—
1106	#120	—	14	1	no	—
1107	C₄×Q₈	—	2	1	no	—
1108	C₄×Q₈	—	7	1	no	—
1109	C₄×Q₈	—	7	1	no	—
1110	C₄×Q₈	—	7	1	no	—
1111	C₄×Q₈	—	7	1	no	—
1112	C₄×Q₈	—	7	1	no	—
1113	C₄×Q₈	—	7	1	no	—
1114	C₄×Q₈	—	7	1	no	—
1115	C₄×Q₈	—	7	1	no	—
1116	C₄×Q₈	—	7	1	no	—
1117	C₄×Q₈	—	7	1	no	—
1118	C₄×Q₈	—	7	1	no	—
1119	C₄×Q₈	—	7	1	no	—
1120	C₄×Q₈	—	7	1	no	—
1121	C₄×Q₈	—	7	1	no	—
1122	C₄×Q₈	—	7	1	no	—
1123	C₄×Q₈	—	14	1	no	—
1124	C₄×Q₈	—	14	1	no	—
1125	C₄×Q₈	—	14	1	no	—
1126	C₄×Q₈	—	14	1	no	—
1127	C₄×Q₈	—	14	1	no	—
1128	C₄×Q₈	—	14	1	no	—
1129	C₄×Q₈	—	14	1	no	—
1130	C₄×Q₈	—	14	1	no	—
1131	C₄×Q₈	—	14	1	no	—
1132	C₄×Q₈	—	14	1	no	—
1133	C₄×Q₈	—	14	1	no	—
1134	C₄×Q₈	—	14	1	no	—
1135	C₄×Q₈	—	14	1	no	—
1136	C₄×Q₈	—	14	1	no	—
1137	C₄×Q₈	—	14	1	no	—
1138	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1140	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1141	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1142	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1143	C₄×D₄	—	2	1	no	—
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	—	14	1	no	—
1151	C₄×D₄	—	14	1	no	—
1152	C₄×D₄	—	14	1	no	—
1153	C₄×D₄	—	14	1	no	—
1154	C₄×D₄	—	14	1	no	—
1155	C₄×D₄	—	14	1	no	—
1156	C₄×D₄	—	14	1	no	—
1157	C₄×D₄	—	14	1	no	—
1158	C₄×D₄	—	14	1	no	—
1159	C₄×D₄	—	14	1	no	—
1160	C₄×D₄	—	14	1	no	—
1161	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1162	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1163	#117	—	7	1	no	—
1164	#117	—	7	1	no	—
1165	#117	—	7	1	no	—
1166	#117	—	7	1	no	—
1167	#117	—	14	1	no	—
1168	#117	—	14	1	no	—
1169	#117	—	14	1	no	—
1170	#117	—	14	1	no	—
1171	#117	—	14	1	no	—
1172	#117	—	14	1	no	—
1173	#117	—	14	1	no	—
1174	#117	—	14	1	no	—
1175	C₂×C₄⋊C₄	—	7	1	no	—
1176	C₂×C₄⋊C₄	—	7	1	no	—
1177	C₂×C₄⋊C₄	—	14	1	no	—
1178	C₂×C₄⋊C₄	—	14	1	no	—
1179	C₂×C₄⋊C₄	—	14	1	no	—
1180	C₂×C₂²⋊C₄	—	14	1	no	—
1181	C₂×C₄²	—	7	1	no	—
1182	C₂×C₄²	—	14	1	no	—
1183	#107	—	7	1	no	—
1184	#107	—	7	1	no	—
1185	#107	—	7	1	no	—
1186	#107	—	7	1	no	—
1187	#107	—	7	1	no	—
1188	#107	C₂²×D₇	1	1	yes	characteristic
1189	#107	C₂²×D₇	1	1	yes	characteristic
1190	#107	C₂²×D₇	1	1	yes	characteristic
1191	#106	—	7	1	no	—
1192	#106	—	7	1	no	—
1193	#106	—	7	1	no	—
1194	#106	—	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	C₂²×D₇	1	1	yes	characteristic
1205	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1206	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1207	#103	—	7	1	no	—
1208	#103	—	7	1	no	—
1209	#103	—	7	1	no	—
1210	#103	—	7	1	no	—
1211	#103	—	7	1	no	—
1212	#103	—	7	1	no	—
1213	#103	—	7	1	no	—
1214	#103	—	7	1	no	—
1215	#103	—	7	1	no	—
1216	#103	—	7	1	no	—
1217	#103	—	7	1	no	—
1218	#103	—	7	1	no	—
1219	#103	C₂²×D₇	1	1	yes	characteristic
1220	#103	C₂²×D₇	1	1	yes	characteristic
1221	#103	C₂²×D₇	1	1	yes	characteristic
1222	#103	C₂²×D₇	1	1	yes	characteristic
1223	#102	—	7	1	no	—
1224	#102	—	7	1	no	—
1225	#102	—	7	1	no	—
1226	#102	—	7	1	no	—
1227	#102	—	7	1	no	—
1228	#102	—	7	1	no	—
1229	#102	—	7	1	no	—
1230	#102	—	7	1	no	—
1231	#102	—	7	1	no	—
1232	#102	—	7	1	no	—
1233	#102	—	7	1	no	—
1234	#102	—	7	1	no	—
1235	#102	—	7	1	no	—
1236	#102	—	7	1	no	—
1237	#102	—	7	1	no	—
1238	#102	—	7	1	no	—
1239	#102	—	7	1	no	—
1240	#102	—	7	1	no	—
1241	#102	C₂²×D₇	1	1	yes	characteristic
1242	#102	C₂²×D₇	1	1	yes	characteristic
1243	#102	C₂²×D₇	1	1	yes	characteristic
1244	#102	C₂²×D₇	1	1	yes	characteristic
1245	#102	C₂²×D₇	1	1	yes	characteristic
1246	#102	C₂²×D₇	1	1	yes	characteristic
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	C₂²×D₇	1	1	yes	characteristic
1254	#97	C₂²×D₇	1	1	yes	characteristic
1255	C₄×C₈	—	7	1	no	—
1256	C₄×C₈	—	7	1	no	—
1257	C₄×C₈	—	7	1	no	—
1258	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1259	C₂²×C₇	—	4	1	no	—
1260	C₂²×C₇	—	4	1	no	—
1261	C₂²×C₇	—	4	1	no	—
1262	C₂²×C₇	—	4	1	no	—
1263	C₂²×C₇	—	4	1	no	—
1264	C₂²×C₇	—	4	1	no	—
1265	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1266	C₂×D₇	—	2	1	no	—
1267	C₂×D₇	—	2	1	no	—
1268	C₂×D₇	—	4	1	no	—
1269	C₂×D₇	—	4	1	no	—
1270	C₂×D₇	—	4	1	no	—
1271	C₂×D₇	—	4	1	no	—
1272	C₂×D₇	—	4	1	no	—
1273	C₂×D₇	—	4	1	no	—
1274	C₂×D₇	—	8	4	no	—
1275	C₂×D₇	#548	1	2	yes	—
1276	C₄×C₇	—	2	1	no	—
1277	C₄×C₇	—	2	1	no	—
1278	C₄×C₇	—	2	1	no	—
1279	C₄×C₇	—	2	1	no	—
1280	C₄×C₇	—	2	1	no	—
1281	C₄×C₇	—	2	1	no	—
1282	C₄×C₇	—	2	2	no	—
1283	C₄×C₇	—	4	1	no	—
1284	C₄×C₇	—	4	1	no	—
1285	C₄×C₇	—	4	1	no	—
1286	C₄×C₇	—	4	1	no	—
1287	C₄×C₇	—	4	1	no	—
1288	C₄×C₇	C₂²×#41	1	1	yes	characteristic
1289	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1290	Dic₇	—	2	1	no	—
1291	Dic₇	—	2	1	no	—
1292	Dic₇	—	2	1	no	—
1293	Dic₇	—	2	1	no	—
1294	Dic₇	—	2	1	no	—
1295	Dic₇	—	2	1	no	—
1296	Dic₇	—	2	2	no	—
1297	Dic₇	—	4	1	no	—
1298	Dic₇	—	4	1	no	—
1299	Dic₇	—	4	1	no	—
1300	Dic₇	—	4	1	no	—
1301	Dic₇	—	4	1	no	—
1302	Dic₇	#548	1	2	yes	—
1303	C₂⁴	—	14	1	no	—
1304	#41	—	14	2	no	—
1305	#41	—	14	2	no	—
1306	#41	—	14	2	no	—
1307	#41	—	14	2	no	—
1308	#41	—	56	2	no	—
1309	#41	—	56	2	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	2	1	no	—
1313	C₂×Q₈	—	7	1	no	—
1314	C₂×Q₈	—	7	1	no	—
1315	C₂×Q₈	—	7	1	no	—
1316	C₂×Q₈	—	7	4	no	—
1317	C₂×Q₈	—	7	1	no	—
1318	C₂×Q₈	—	7	1	no	—
1319	C₂×Q₈	—	14	1	no	—
1320	C₂×Q₈	—	14	1	no	—
1321	C₂×Q₈	—	14	1	no	—
1322	C₂×Q₈	—	14	2	no	—
1323	C₂×Q₈	—	14	1	no	—
1324	C₂×Q₈	D₄×D₇	1	1	yes	characteristic
1325	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1326	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	7	1	no	—
1330	C₂×D₄	—	7	1	no	—
1331	C₂×D₄	—	14	1	no	—
1332	C₂×D₄	—	14	2	no	—
1333	C₂×D₄	—	14	2	no	—
1334	C₂×D₄	—	14	1	no	—
1335	C₂×D₄	—	14	1	no	—
1336	C₂×D₄	—	14	1	no	—
1337	C₂×D₄	—	14	1	no	—
1338	C₂×D₄	—	14	1	no	—
1339	C₂×D₄	—	14	1	no	—
1340	C₂×D₄	—	14	1	no	—
1341	C₂×D₄	—	14	1	no	—
1342	C₂×D₄	—	14	1	no	—
1343	C₂×D₄	—	14	1	no	—
1344	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1345	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	7	1	no	—
1349	C₂²×C₄	—	7	1	no	—
1350	C₂²×C₄	—	7	1	no	—
1351	C₂²×C₄	—	14	1	no	—
1352	C₂²×C₄	—	14	1	no	—
1353	C₂²×C₄	—	14	1	no	—
1354	C₂²×C₄	—	14	1	no	—
1355	C₂²×C₄	—	14	1	no	—
1356	C₂²×C₄	—	14	1	no	—
1357	C₂²×C₄	—	14	1	no	—
1358	C₂²×C₄	—	14	1	no	—
1359	C₂²×C₄	—	14	1	no	—
1360	C₂²×C₄	—	14	1	no	—
1361	C₂²×C₄	—	14	1	no	—
1362	C₂²×C₄	—	56	2	no	—
1363	Q₁₆	—	2	2	no	—
1364	Q₁₆	—	14	2	no	—
1365	Q₁₆	—	14	2	no	—
1366	Q₁₆	—	14	2	no	—
1367	SD₁₆	—	2	2	no	—
1368	SD₁₆	—	2	2	no	—
1369	SD₁₆	—	14	2	no	—
1370	SD₁₆	—	14	2	no	—
1371	SD₁₆	—	14	2	no	—
1372	SD₁₆	—	14	2	no	—
1373	SD₁₆	—	14	2	no	—
1374	SD₁₆	—	14	2	no	—
1375	M₁₆	—	14	2	no	—
1376	M₁₆	—	14	2	no	—
1377	C₂×C₈	—	7	1	no	—
1378	C₂×C₈	—	7	1	no	—
1379	C₂×C₈	—	7	1	no	—
1380	C₂×C₈	—	7	1	no	—
1381	C₂×C₈	—	14	2	no	—
1382	C₂×C₈	—	14	2	no	—
1383	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1384	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1385	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1386	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	7	1	no	—
1395	C₄⋊C₄	—	7	1	no	—
1396	C₄⋊C₄	—	7	1	no	—
1397	C₄⋊C₄	—	7	1	no	—
1398	C₄⋊C₄	—	7	1	no	—
1399	C₄⋊C₄	—	7	1	no	—
1400	C₄⋊C₄	—	7	1	no	—
1401	C₄⋊C₄	—	7	1	no	—
1402	C₄⋊C₄	—	7	1	no	—
1403	C₄⋊C₄	—	7	1	no	—
1404	C₄⋊C₄	—	7	1	no	—
1405	C₄⋊C₄	—	7	1	no	—
1406	C₄⋊C₄	—	7	1	no	—
1407	C₄⋊C₄	—	7	1	no	—
1408	C₄⋊C₄	—	7	1	no	—
1409	C₄⋊C₄	—	7	1	no	—
1410	C₄⋊C₄	—	7	1	no	—
1411	C₄⋊C₄	—	14	1	no	—
1412	C₄⋊C₄	—	14	1	no	—
1413	C₄⋊C₄	—	14	1	no	—
1414	C₄⋊C₄	—	14	1	no	—
1415	C₄⋊C₄	—	14	1	no	—
1416	C₄⋊C₄	—	14	1	no	—
1417	C₄⋊C₄	—	14	1	no	—
1418	C₄⋊C₄	—	14	1	no	—
1419	C₄⋊C₄	—	14	1	no	—
1420	C₄⋊C₄	—	14	1	no	—
1421	C₄⋊C₄	—	14	1	no	—
1422	C₄⋊C₄	—	14	1	no	—
1423	C₄⋊C₄	—	14	1	no	—
1424	C₄⋊C₄	—	14	1	no	—
1425	C₄⋊C₄	—	14	1	no	—
1426	C₄⋊C₄	—	14	1	no	—
1427	C₄⋊C₄	—	14	1	no	—
1428	C₄⋊C₄	—	14	1	no	—
1429	C₄⋊C₄	—	14	1	no	—
1430	C₄⋊C₄	—	14	1	no	—
1431	C₄⋊C₄	—	14	1	no	—
1432	C₄⋊C₄	—	14	1	no	—
1433	C₄⋊C₄	—	14	1	no	—
1434	C₄⋊C₄	—	14	1	no	—
1435	C₄⋊C₄	—	14	1	no	—
1436	C₄⋊C₄	—	14	1	no	—
1437	C₄⋊C₄	—	14	1	no	—
1438	C₄⋊C₄	—	14	1	no	—
1439	C₄⋊C₄	—	14	1	no	—
1440	C₄⋊C₄	—	14	1	no	—
1441	C₄⋊C₄	—	14	1	no	—
1442	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1443	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1444	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1445	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	7	1	no	—
1456	C₂²⋊C₄	—	7	1	no	—
1457	C₂²⋊C₄	—	7	1	no	—
1458	C₂²⋊C₄	—	7	1	no	—
1459	C₂²⋊C₄	—	14	1	no	—
1460	C₂²⋊C₄	—	14	1	no	—
1461	C₂²⋊C₄	—	14	1	no	—
1462	C₂²⋊C₄	—	14	1	no	—
1463	C₂²⋊C₄	—	14	1	no	—
1464	C₂²⋊C₄	—	14	1	no	—
1465	C₂²⋊C₄	—	14	1	no	—
1466	C₂²⋊C₄	—	14	1	no	—
1467	C₂²⋊C₄	—	14	1	no	—
1468	C₂²⋊C₄	—	14	1	no	—
1469	C₂²⋊C₄	—	14	1	no	—
1470	C₂²⋊C₄	—	14	1	no	—
1471	C₂²⋊C₄	—	14	1	no	—
1472	C₂²⋊C₄	—	14	1	no	—
1473	C₂²⋊C₄	—	14	1	no	—
1474	C₂²⋊C₄	—	14	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	7	1	no	—
1480	C₄²	—	7	1	no	—
1481	C₄²	—	7	1	no	—
1482	C₄²	—	7	1	no	—
1483	C₄²	—	7	1	no	—
1484	C₄²	—	14	1	no	—
1485	C₄²	—	14	1	no	—
1486	C₄²	—	14	1	no	—
1487	C₄²	—	14	1	no	—
1488	C₄²	—	14	1	no	—
1489	C₄²	—	14	1	no	—
1490	C₄²	—	14	1	no	—
1491	C₄²	—	14	1	no	—
1492	C₄²	—	14	1	no	—
1493	C₄²	—	14	1	no	—
1494	C₄²	—	14	1	no	—
1495	C₄²	—	14	1	no	—
1496	C₄²	—	14	1	no	—
1497	C₄²	—	14	1	no	—
1498	C₄²	C₂³×D₇	1	1	yes	characteristic
1499	C₄²	C₂³×D₇	1	1	yes	characteristic
1500	C₄²	C₂³×D₇	1	1	yes	characteristic
1501	C₂×C₇	—	8	1	no	—
1502	C₂×C₇	—	8	1	no	—
1503	C₂×C₇	C₂×#548	1	1	yes	characteristic
1504	C₂×C₇	#3585	1	1	yes	characteristic
1505	C₂×C₇	#3586	1	1	yes	characteristic
1506	D₇	—	2	2	no	—
1507	D₇	—	8	1	no	—
1508	D₇	—	8	1	no	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	7	1	no	—
1512	C₂³	—	14	1	no	—
1513	C₂³	—	14	1	no	—
1514	C₂³	—	28	2	no	—
1515	C₂³	—	56	1	no	—
1516	C₂³	—	56	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	4	1	no	—
1521	Q₈	—	7	2	no	—
1522	Q₈	—	8	1	no	—
1523	Q₈	—	8	1	no	—
1524	Q₈	—	8	1	no	—
1525	Q₈	—	14	4	no	—
1526	Q₈	—	14	1	no	—
1527	Q₈	—	14	1	no	—
1528	Q₈	—	14	1	no	—
1529	Q₈	—	28	1	no	—
1530	Q₈	—	28	1	no	—
1531	Q₈	—	28	1	no	—
1532	Q₈	—	28	2	no	—
1533	Q₈	—	56	1	no	—
1534	Q₈	—	56	1	no	—
1535	Q₈	D₇×#41	1	2	yes	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	8	1	no	—
1541	D₄	—	8	1	no	—
1542	D₄	—	14	1	no	—
1543	D₄	—	14	1	no	—
1544	D₄	—	14	1	no	—
1545	D₄	—	14	1	no	—
1546	D₄	—	28	2	no	—
1547	D₄	—	28	2	no	—
1548	D₄	—	28	2	no	—
1549	D₄	—	28	2	no	—
1550	D₄	—	56	1	no	—
1551	D₄	—	56	1	no	—
1552	D₄	—	56	1	no	—
1553	D₄	—	56	1	no	—
1554	D₄	—	56	1	no	—
1555	D₄	—	56	1	no	—
1556	D₄	—	56	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	7	1	no	—
1564	C₂×C₄	—	7	2	no	—
1565	C₂×C₄	—	7	2	no	—
1566	C₂×C₄	—	7	1	no	—
1567	C₂×C₄	—	7	1	no	—
1568	C₂×C₄	—	7	1	no	—
1569	C₂×C₄	—	7	1	no	—
1570	C₂×C₄	—	7	1	no	—
1571	C₂×C₄	—	7	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	14	4	no	—
1575	C₂×C₄	—	14	1	no	—
1576	C₂×C₄	—	14	1	no	—
1577	C₂×C₄	—	14	1	no	—
1578	C₂×C₄	—	14	1	no	—
1579	C₂×C₄	—	14	1	no	—
1580	C₂×C₄	—	14	1	no	—
1581	C₂×C₄	—	28	1	no	—
1582	C₂×C₄	—	28	1	no	—
1583	C₂×C₄	—	28	2	no	—
1584	C₂×C₄	—	28	2	no	—
1585	C₂×C₄	—	28	2	no	—
1586	C₂×C₄	—	28	2	no	—
1587	C₂×C₄	—	56	1	no	—
1588	C₂×C₄	—	56	1	no	—
1589	C₂×C₄	—	56	1	no	—
1590	C₂×C₄	—	56	1	no	—
1591	C₂×C₄	—	56	1	no	—
1592	C₂×C₄	—	56	1	no	—
1593	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1594	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1595	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1597	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1598	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1599	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	14	1	no	—
1605	C₈	—	14	1	no	—
1606	C₈	—	14	1	no	—
1607	C₈	—	14	1	no	—
1608	C₇	#61334	1	1	yes	characteristic, complemented, Sylow
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	7	2	no	—
1616	C₂²	—	14	1	no	—
1617	C₂²	—	14	1	no	—
1618	C₂²	—	28	1	no	—
1619	C₂²	—	28	1	no	—
1620	C₂²	—	28	1	no	—
1621	C₂²	—	28	1	no	—
1622	C₂²	—	28	1	no	—
1623	C₂²	—	28	1	no	—
1624	C₂²	—	56	4	no	—
1625	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1626	C₄	—	2	1	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	2	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	7	2	no	—
1639	C₄	—	14	1	no	—
1640	C₄	—	14	1	no	—
1641	C₄	—	14	1	no	—
1642	C₄	—	14	1	no	—
1643	C₄	—	14	1	no	—
1644	C₄	—	14	1	no	—
1645	C₄	—	14	2	no	—
1646	C₄	—	28	1	no	—
1647	C₄	—	28	1	no	—
1648	C₄	—	28	1	no	—
1649	C₄	—	28	1	no	—
1650	C₄	—	28	1	no	—
1651	C₄	C₂×D₇×#41	1	1	yes	characteristic
1652	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1653	C₂	—	8	1	no	—
1654	C₂	—	8	1	no	—
1655	C₂	—	14	2	no	—
1656	C₂	—	56	1	no	—
1657	C₂	—	56	1	no	—
1658	C₂	D₇×#548	1	1	yes	characteristic
1659	C₂	#11744265	1	1	yes	characteristic
1660	C₂	#11744272	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3375	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11744131	C₂
hypercenter	#3375	D₇
hypocenter	C₇	#61334
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3375

Complements

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

N	H ≅ G/N	type
2. #11744114	C₂	semidirect
3. C₇×#3375	C₂	semidirect
4. #11741163	C₂	semidirect
5. #11741153	C₂	semidirect
6. #11739125	C₂	semidirect
7. #11739124	C₂	semidirect
8. #11739122	C₂	semidirect
9. #11739120	C₂	semidirect
10. #11739035	C₂	semidirect
11. #11739008	C₂	semidirect
12. #11738556	C₂	semidirect
13. #11738546	C₂	semidirect
14. #11738440	C₂	semidirect
15. #11738413	C₂	semidirect
16. #11738410	C₂	semidirect
17. #11738401	C₂	semidirect
18. #11738045	C₂	semidirect
19. #11738043	C₂	semidirect
20. #11738031	C₂	semidirect
21. #11738029	C₂	semidirect
22. #11737830	C₂	semidirect
23. #11737817	C₂	semidirect
24. #11737427	C₂	semidirect
25. #11737404	C₂	semidirect
26. #11737221	C₂	semidirect
27. D₇×#440	C₂	semidirect
28. #11737199	C₂	semidirect
29. #11737197	C₂	semidirect
30. #11737164	C₂	semidirect
31. #11737149	C₂	semidirect
33. C₇×Q₈²	C₂²	semidirect
44. #90413	C₂²	semidirect
47. #90412	C₂²	semidirect
48. #90412	C₂²	semidirect
68. #90261	C₂²	semidirect
69. #90260	C₂²	semidirect
70. #90260	C₂²	semidirect
73. #90258	C₂²	semidirect
81. C₇×#489	C₂²	semidirect
83. C₇×#477	C₂²	semidirect
85. C₇×#474	C₂²	semidirect
87. C₇×#464	C₂²	semidirect
89. C₇×#446	C₂²	semidirect
91. C₇×#440	C₂²	semidirect
92. C₄×C₇×Q₁₆	C₂²	semidirect
94. #89956	C₂²	semidirect
95. #89954	C₂²	semidirect
100. #89935	C₂²	semidirect
101. SD₁₆×Dic₇	C₂²	semidirect
102. #89863	C₂²	semidirect
104. #89861	C₂²	semidirect
107. #89859	C₂²	semidirect
111. #89827	C₂²	semidirect
113. #89826	C₂²	semidirect
114. #89802	C₂²	semidirect
115. C₄×#1144	C₂²	semidirect
117. #89800	C₂²	semidirect
120. #89798	C₂²	semidirect
121. #89796	C₂²	semidirect
122. #89794	C₂²	semidirect
124. C₄×#1142	C₂²	semidirect
125. #89781	C₂²	semidirect
129. #89663	C₂²	semidirect
130. #89662	C₂²	semidirect
132. #89661	C₂²	semidirect
136. #89649	C₂²	semidirect
137. #89647	C₂²	semidirect
138. #89645	C₂²	semidirect
140. #89619	C₂²	semidirect
142. #89617	C₂²	semidirect
147. #89603	C₂²	semidirect
148. #89601	C₂²	semidirect
149. #89600	C₂²	semidirect
150. #89600	C₂²	semidirect
157. #89571	C₂²	semidirect
159. #89569	C₂²	semidirect
160. #89569	C₂²	semidirect
162. #89566	C₂²	semidirect
163. #89565	C₂²	semidirect
164. #89562	C₂²	semidirect
165. #89561	C₂²	semidirect
166. #89560	C₂²	semidirect
178. #89536	C₂²	semidirect
179. #89536	C₂²	semidirect
182. #89535	C₂²	semidirect
185. #89534	C₂²	semidirect
188. #89531	C₂²	semidirect
190. #89529	C₂²	semidirect
191. #89488	C₂²	semidirect
192. #89486	C₂²	semidirect
197. #89473	C₂²	semidirect
198. #89473	C₂²	semidirect
200. C₄×#1132	C₂²	semidirect
202. #89451	C₂²	semidirect
491. #3375	D₇	semidirect
540. Q₈×D₇	#41	semidirect
720. Q₈²	C₂×D₇	semidirect
774. #489	C₂×D₇	semidirect
798. #477	C₂×D₇	semidirect
806. #474	C₂×D₇	semidirect
818. #464	C₂×D₇	semidirect
838. #446	C₂×D₇	semidirect
854. #440	C₂×D₇	semidirect
858. C₄×Q₁₆	C₂×D₇	semidirect
1608. C₇	#61334	semidirect

Maximal subgroups

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

subgroup	index
#11744131	2
#11744114	2
C₇×#3375	2
#11741163	2
#11741153	2
#11739125	2
#11739124	2
#11739122	2
#11739120	2
#11739035	2
#11739008	2
#11738556	2
#11738546	2
#11738440	2
#11738413	2
#11738410	2
#11738401	2
#11738045	2
#11738043	2
#11738031	2
#11738029	2
#11737830	2
#11737817	2
#11737427	2
#11737404	2
#11737221	2
D₇×#440	2
#11737199	2
#11737197	2
#11737164	2
#11737149	2
#61334	7