Subgroups — #14226050

Order 1792.

1654 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743649	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743563	C₂	1	1	yes	maximal, characteristic
3	C₇×#3242	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740922	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740887	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739431	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739418	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739367	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739361	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739192	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739182	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739056	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739043	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738960	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738960	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738952	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738951	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738912	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738906	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738871	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738868	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738688	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738687	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738674	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738674	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738562	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738552	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738465	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738455	C₂	1	1	yes	maximal, characteristic, complemented
30	D₇×#433	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736807	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#541	C₂²	1	1	yes	characteristic
34	#90422	C₂²	1	1	yes	characteristic
35	#90420	—	2	1	no	—
36	#90420	C₂²	1	1	yes	characteristic
37	#90420	C₂²	1	1	yes	characteristic
38	#90419	—	2	1	no	—
39	#90419	C₂²	1	1	yes	characteristic
40	#90419	C₂²	1	1	yes	characteristic
41	#90416	C₂²	1	1	yes	characteristic
42	#90397	—	2	1	no	—
43	#90397	—	2	1	no	—
44	#90395	—	2	1	no	—
45	#90395	—	2	1	no	—
46	#90389	C₂²	1	1	yes	characteristic
47	#90383	—	2	1	no	—
48	#90383	—	2	1	no	—
49	#90382	—	2	1	no	—
50	#90382	—	2	1	no	—
51	#90380	—	2	1	no	—
52	#90380	C₂²	1	1	yes	characteristic
53	#90380	C₂²	1	1	yes	characteristic
54	#90379	—	2	1	no	—
55	#90379	C₂²	1	1	yes	characteristic
56	#90379	C₂²	1	1	yes	characteristic
57	#90379	C₂²	1	1	yes	characteristic
58	#90334	C₂²	1	1	yes	characteristic
59	#90334	C₂²	1	1	yes	characteristic
60	#90325	—	2	1	no	—
61	#90325	—	2	1	no	—
62	#90318	C₂²	1	1	yes	characteristic
63	#90318	C₂²	1	1	yes	characteristic
64	#90313	—	2	1	no	—
65	#90313	—	2	1	no	—
66	#90273	C₂²	1	1	yes	characteristic
67	#90273	C₂²	1	1	yes	characteristic
68	C₄×#1161	C₂²	1	1	yes	characteristic
69	C₄×#1161	C₂²	1	1	yes	characteristic
70	#90226	C₂²	1	1	yes	characteristic
71	D₇×#117	C₂²	1	1	yes	characteristic
72	D₇×#117	C₂²	1	1	yes	characteristic
73	#90210	C₂²	1	1	yes	characteristic
74	#90210	C₂²	1	1	yes	characteristic
75	C₂×#6455	C₂²	1	1	yes	characteristic
76	#90191	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#499	C₂²	1	1	yes	characteristic, complemented
79	C₇×#491	C₂²	1	1	yes	characteristic, complemented
80	C₇×#487	C₂²	1	1	yes	characteristic, complemented
81	C₇×#485	C₂²	1	1	yes	characteristic
82	C₇×#485	C₂²	1	1	yes	characteristic
83	C₇×#484	C₂²	1	1	yes	characteristic
84	C₇×#483	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#479	C₂²	1	1	yes	characteristic, complemented
87	C₇×#477	C₂²	1	1	yes	characteristic, complemented
88	C₇×#475	C₂²	1	1	yes	characteristic, complemented
89	C₇×#433	C₂²	1	1	yes	characteristic
90	#89860	C₂²	1	1	yes	characteristic, complemented
91	#89859	C₂²	1	1	yes	characteristic, complemented
92	#89856	C₂²	1	1	yes	characteristic, complemented
93	#89854	C₂²	1	1	yes	characteristic, complemented
94	#89853	C₂²	1	1	yes	characteristic, complemented
95	#89852	C₂²	1	1	yes	characteristic, complemented
96	#89839	C₂²	1	1	yes	characteristic, complemented
97	#89838	C₂²	1	1	yes	characteristic, complemented
98	#89838	C₂²	1	1	yes	characteristic, complemented
99	#89837	C₂²	1	1	yes	characteristic, complemented
100	#89836	C₂²	1	1	yes	characteristic, complemented
101	#89836	C₂²	1	1	yes	characteristic, complemented
102	#89817	C₂²	1	1	yes	characteristic
103	#89817	C₂²	1	1	yes	characteristic
104	#89816	C₂²	1	1	yes	characteristic
105	#89815	C₂²	1	1	yes	characteristic
106	#89794	C₂²	1	1	yes	characteristic, complemented
107	#89794	C₂²	1	1	yes	characteristic, complemented
108	#89793	C₂²	1	1	yes	characteristic, complemented
109	#89792	C₂²	1	1	yes	characteristic, complemented
110	#89775	C₂²	1	1	yes	characteristic
111	#89775	C₂²	1	1	yes	characteristic
112	#89772	C₂²	1	1	yes	characteristic
113	#89740	C₂²	1	1	yes	characteristic
114	#89739	C₂²	1	1	yes	characteristic
115	#89663	C₂²	1	1	yes	characteristic, complemented
116	#89663	C₂²	1	1	yes	characteristic, complemented
117	#89662	C₂²	1	1	yes	characteristic, complemented
118	#89662	C₂²	1	1	yes	characteristic, complemented
119	#89657	C₂²	1	1	yes	characteristic
120	#89657	C₂²	1	1	yes	characteristic
121	#89654	C₂²	1	1	yes	characteristic
122	#89654	C₂²	1	1	yes	characteristic
123	#89652	C₂²	1	1	yes	characteristic
124	#89652	C₂²	1	1	yes	characteristic
125	#89652	C₂²	1	1	yes	characteristic
126	#89652	C₂²	1	1	yes	characteristic
127	#89648	C₂²	1	1	yes	characteristic, complemented
128	#89648	C₂²	1	1	yes	characteristic, complemented
129	#89646	C₂²	1	1	yes	characteristic, complemented
130	#89646	C₂²	1	1	yes	characteristic, complemented
131	#89643	C₂²	1	1	yes	characteristic, complemented
132	#89643	C₂²	1	1	yes	characteristic, complemented
133	#89642	C₂²	1	1	yes	characteristic, complemented
134	#89642	C₂²	1	1	yes	characteristic, complemented
135	#89638	C₂²	1	1	yes	characteristic
136	#89638	C₂²	1	1	yes	characteristic
137	#89635	C₂²	1	1	yes	characteristic
138	#89635	C₂²	1	1	yes	characteristic
139	#89632	C₂²	1	1	yes	characteristic
140	#89632	C₂²	1	1	yes	characteristic
141	#89632	C₂²	1	1	yes	characteristic
142	#89632	C₂²	1	1	yes	characteristic
143	#89628	C₂²	1	1	yes	characteristic, complemented
144	#89628	C₂²	1	1	yes	characteristic, complemented
145	#89627	C₂²	1	1	yes	characteristic, complemented
146	#89627	C₂²	1	1	yes	characteristic, complemented
147	#89619	C₂²	1	1	yes	characteristic, complemented
148	#89619	C₂²	1	1	yes	characteristic, complemented
149	#89618	C₂²	1	1	yes	characteristic, complemented
150	#89614	C₂²	1	1	yes	characteristic, complemented
151	#89612	C₂²	1	1	yes	characteristic
152	#89612	C₂²	1	1	yes	characteristic
153	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
154	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
155	#89587	C₂²	1	1	yes	characteristic
156	#89587	C₂²	1	1	yes	characteristic
157	#89586	C₂²	1	1	yes	characteristic
158	#89586	C₂²	1	1	yes	characteristic
159	#89581	C₂²	1	1	yes	characteristic
160	#89581	C₂²	1	1	yes	characteristic
161	#89577	C₂²	1	1	yes	characteristic
162	#89577	C₂²	1	1	yes	characteristic
163	#89576	C₂²	1	1	yes	characteristic
164	#89576	C₂²	1	1	yes	characteristic
165	#89576	C₂²	1	1	yes	characteristic
166	#89576	C₂²	1	1	yes	characteristic
167	#89576	C₂²	1	1	yes	characteristic
168	#89576	C₂²	1	1	yes	characteristic
169	#89576	C₂²	1	1	yes	characteristic
170	#89576	C₂²	1	1	yes	characteristic
171	#89572	C₂²	1	1	yes	characteristic, complemented
172	#89572	C₂²	1	1	yes	characteristic, complemented
173	#89572	C₂²	1	1	yes	characteristic, complemented
174	#89572	C₂²	1	1	yes	characteristic, complemented
175	#89571	C₂²	1	1	yes	characteristic, complemented
176	#89571	C₂²	1	1	yes	characteristic, complemented
177	#89568	C₂²	1	1	yes	characteristic, complemented
178	#89568	C₂²	1	1	yes	characteristic, complemented
179	#89567	C₂²	1	1	yes	characteristic, complemented
180	#89567	C₂²	1	1	yes	characteristic, complemented
181	#89567	C₂²	1	1	yes	characteristic, complemented
182	#89567	C₂²	1	1	yes	characteristic, complemented
183	#89566	C₂²	1	1	yes	characteristic, complemented
184	#89566	C₂²	1	1	yes	characteristic, complemented
185	#89563	C₂²	1	1	yes	characteristic, complemented
186	#89563	C₂²	1	1	yes	characteristic, complemented
187	#89509	C₂²	1	1	yes	characteristic
188	#89509	C₂²	1	1	yes	characteristic
189	#89508	C₂²	1	1	yes	characteristic
190	#89507	C₂²	1	1	yes	characteristic
191	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#89492	C₂²	1	1	yes	characteristic
194	#89492	C₂²	1	1	yes	characteristic
195	#89485	C₂²	1	1	yes	characteristic, complemented
196	#89481	C₂²	1	1	yes	characteristic
197	D₇×#97	C₂²	1	1	yes	characteristic
198	#89474	C₂²	1	1	yes	characteristic, complemented
199	#89466	C₂²	1	1	yes	characteristic, complemented
200	#89462	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₇	C₂²	1	1	yes	characteristic
202	#89455	C₂²	1	1	yes	characteristic, complemented
203	#60859	—	7	1	no	maximal, Sylow
204	C₂×#1161	C₂³	1	1	yes	characteristic
205	C₂×#1161	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
207	C₇×C₄⋊Q₈	—	2	1	no	—
208	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₇×#126	—	2	1	no	—
212	C₇×#126	—	2	1	no	—
213	C₇×#125	—	2	1	no	—
214	C₇×#125	—	2	1	no	—
215	C₇×#125	—	2	1	no	—
216	C₇×#125	C₂³	1	1	yes	characteristic
217	C₇×#125	C₂³	1	1	yes	characteristic
218	C₇×#125	C₂³	1	1	yes	characteristic
219	C₇×C₂²⋊Q₈	—	2	1	no	—
220	C₇×C₂²⋊Q₈	—	2	1	no	—
221	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₇×#117	C₂³	1	1	yes	characteristic
226	C₇×#117	C₂³	1	1	yes	characteristic
227	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	#6510	C₂³	1	1	yes	characteristic
229	#6510	C₂³	1	1	yes	characteristic
230	#6509	—	2	1	no	—
231	#6509	—	2	1	no	—
232	#6509	—	2	1	no	—
233	#6509	—	2	1	no	—
234	#6509	C₂³	1	1	yes	characteristic
235	#6509	C₂³	1	1	yes	characteristic
236	Q₈×Dic₇	—	2	1	no	—
237	Q₈×Dic₇	—	2	1	no	—
238	Q₈×Dic₇	C₂³	1	1	yes	characteristic
239	Q₈×Dic₇	C₂³	1	1	yes	characteristic
240	#6507	—	2	1	no	—
241	#6507	—	2	1	no	—
242	#6493	C₂³	1	1	yes	characteristic
243	#6493	C₂³	1	1	yes	characteristic
244	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
245	#6489	C₂³	1	1	yes	characteristic
246	#6489	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
248	#6487	—	2	1	no	—
249	#6487	—	2	1	no	—
250	C₂×C₄×Dic₇	—	2	1	no	—
251	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
252	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
253	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
254	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
255	#6461	—	2	1	no	—
256	#6461	—	2	1	no	—
257	#6461	—	2	1	no	—
258	#6461	—	2	1	no	—
259	#6460	—	2	1	no	—
260	#6460	—	2	1	no	—
261	#6460	—	2	1	no	—
262	#6460	—	2	1	no	—
263	#6460	—	2	1	no	—
264	#6460	—	2	1	no	—
265	#6459	—	2	1	no	—
266	#6459	—	2	1	no	—
267	#6459	—	2	1	no	—
268	#6459	—	2	1	no	—
269	#6459	—	2	1	no	—
270	#6459	—	2	1	no	—
271	#6459	—	2	1	no	—
272	#6459	—	2	1	no	—
273	#6459	—	2	1	no	—
274	#6459	—	2	1	no	—
275	#6459	—	2	1	no	—
276	#6459	—	2	1	no	—
277	#6458	—	2	1	no	—
278	#6458	—	2	1	no	—
279	#6458	—	2	1	no	—
280	#6458	—	2	1	no	—
281	#6458	C₂³	1	1	yes	characteristic
282	#6458	C₂³	1	1	yes	characteristic
283	#6457	—	2	1	no	—
284	#6457	—	2	1	no	—
285	#6457	—	2	1	no	—
286	#6457	—	2	1	no	—
287	#6457	—	2	1	no	—
288	#6457	—	2	1	no	—
289	#6457	—	2	1	no	—
290	#6457	—	2	1	no	—
291	#6456	—	2	1	no	—
292	#6456	—	2	1	no	—
293	#6456	—	2	1	no	—
294	#6456	—	2	1	no	—
295	#6456	—	2	1	no	—
296	#6456	—	2	1	no	—
297	#6456	C₂³	1	1	yes	characteristic
298	#6456	C₂³	1	1	yes	characteristic
299	#6455	—	2	1	no	—
300	#6455	—	2	1	no	—
301	#6455	—	2	1	no	—
302	#6455	—	2	1	no	—
303	#6455	D₄	1	1	yes	characteristic
304	#6455	D₄	1	1	yes	characteristic
305	#6455	C₂³	1	1	yes	characteristic
306	#6455	C₂³	1	1	yes	characteristic
307	#6455	C₂³	1	1	yes	characteristic
308	#6455	C₂³	1	1	yes	characteristic
309	#6455	C₂³	1	1	yes	characteristic
310	#6455	C₂³	1	1	yes	characteristic
311	#6455	C₂³	1	1	yes	characteristic
312	#6455	C₂³	1	1	yes	characteristic
313	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
314	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
315	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	#6453	—	2	1	no	—
318	#6453	—	2	1	no	—
319	#6453	C₂³	1	1	yes	characteristic
320	#6453	C₂³	1	1	yes	characteristic
321	#6453	C₂³	1	1	yes	characteristic
322	#6453	C₂³	1	1	yes	characteristic
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	#6451	—	2	1	no	—
330	#6451	—	2	1	no	—
331	#6451	—	2	1	no	—
332	#6451	—	2	1	no	—
333	#6451	C₂³	1	1	yes	characteristic
334	#6451	C₂³	1	1	yes	characteristic
335	#6451	C₂³	1	1	yes	characteristic
336	#6451	C₂³	1	1	yes	characteristic
337	#6451	C₂³	1	1	yes	characteristic
338	#6451	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
345	#6450	—	2	1	no	—
346	#6450	—	2	1	no	—
347	#6448	—	2	1	no	—
348	#6448	—	2	1	no	—
349	#6447	—	2	1	no	—
350	#6447	—	2	1	no	—
351	#6446	—	2	1	no	—
352	#6446	—	2	1	no	—
353	#6445	—	2	1	no	—
354	#6445	—	2	1	no	—
355	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
356	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
357	D₇×C₂²⋊C₄	—	2	1	no	—
358	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
359	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
360	#6441	—	2	1	no	—
361	#6441	—	2	1	no	—
362	#6441	—	2	1	no	—
363	#6441	—	2	1	no	—
364	#6440	—	2	1	no	—
365	#6440	D₄	1	1	yes	characteristic
366	#6440	D₄	1	1	yes	characteristic
367	#6439	—	2	1	no	—
368	#6439	—	2	1	no	—
369	#6438	—	2	1	no	—
370	#6438	—	2	1	no	—
371	#6437	C₂³	1	1	yes	characteristic
372	C₄×D₂₈	—	2	1	no	—
373	C₄×D₂₈	—	2	1	no	—
374	C₄×D₂₈	C₂³	1	1	yes	characteristic
375	C₄×D₂₈	C₂³	1	1	yes	characteristic
376	#6435	—	2	1	no	—
377	#6435	C₂³	1	1	yes	characteristic
378	#6435	C₂³	1	1	yes	characteristic
379	C₄²×D₇	—	2	1	no	—
380	C₄²×D₇	—	2	1	no	—
381	C₄²×D₇	—	2	1	no	—
382	C₄²×D₇	C₂³	1	1	yes	characteristic
383	C₄²×D₇	C₂³	1	1	yes	characteristic
384	#6433	—	2	1	no	—
385	#6433	C₂³	1	1	yes	characteristic
386	#6433	C₂³	1	1	yes	characteristic
387	#6433	C₂³	1	1	yes	characteristic
388	#6432	—	2	1	no	—
389	#6432	C₂³	1	1	yes	characteristic
390	#6432	C₂³	1	1	yes	characteristic
391	C₇×#107	C₂³	1	1	yes	characteristic
392	C₇×#107	C₂³	1	1	yes	characteristic
393	C₇×#107	C₂³	1	1	yes	characteristic
394	C₇×#107	C₂³	1	1	yes	characteristic
395	C₇×#106	C₂³	1	1	yes	characteristic
396	C₇×#106	C₂³	1	1	yes	characteristic
397	C₇×#106	C₂³	1	1	yes	characteristic
398	C₇×#106	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×#103	C₂³	1	1	yes	characteristic
402	C₇×#103	C₂³	1	1	yes	characteristic
403	C₇×#103	C₂³	1	1	yes	characteristic
404	C₇×#103	C₂³	1	1	yes	characteristic
405	C₇×#103	C₂³	1	1	yes	characteristic
406	C₇×#103	C₂³	1	1	yes	characteristic
407	C₇×#103	C₂³	1	1	yes	characteristic
408	C₇×#103	C₂³	1	1	yes	characteristic
409	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₇×#97	C₂³	1	1	yes	characteristic
412	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
413	#6409	C₂³	1	1	yes	characteristic
414	#6409	C₂³	1	1	yes	characteristic
415	#6409	C₂³	1	1	yes	characteristic
416	#6409	C₂³	1	1	yes	characteristic
417	#6409	C₂³	1	1	yes	characteristic
418	#6409	C₂³	1	1	yes	characteristic
419	#6409	C₂³	1	1	yes	characteristic
420	#6409	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	#6395	C₂³	1	1	yes	characteristic
424	#6395	C₂³	1	1	yes	characteristic
425	#6395	C₂³	1	1	yes	characteristic
426	#6395	C₂³	1	1	yes	characteristic
427	#6395	C₂³	1	1	yes	characteristic
428	#6395	C₂³	1	1	yes	characteristic
429	#6395	C₂³	1	1	yes	characteristic
430	#6395	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	#6392	C₂³	1	1	yes	characteristic
436	#6392	C₂³	1	1	yes	characteristic
437	#6392	C₂³	1	1	yes	characteristic
438	#6392	C₂³	1	1	yes	characteristic
439	#6391	C₂³	1	1	yes	characteristic
440	#6391	C₂³	1	1	yes	characteristic
441	#6391	C₂³	1	1	yes	characteristic
442	#6391	C₂³	1	1	yes	characteristic
443	#6389	C₂³	1	1	yes	characteristic
444	#6389	C₂³	1	1	yes	characteristic
445	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	C₈×Dic₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	C₂³	1	1	yes	characteristic
451	#6383	C₂³	1	1	yes	characteristic
452	#6383	C₂³	1	1	yes	characteristic
453	#6383	C₂³	1	1	yes	characteristic
454	#6383	C₂³	1	1	yes	characteristic
455	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6382	C₂³	1	1	yes	characteristic
460	#6382	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6382	C₂³	1	1	yes	characteristic
466	#6382	C₂³	1	1	yes	characteristic
467	#6381	C₂³	1	1	yes	characteristic
468	#6381	C₂³	1	1	yes	characteristic
469	#6381	C₂³	1	1	yes	characteristic
470	#6381	C₂³	1	1	yes	characteristic
471	#6381	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	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3458	—	7	1	no	—
480	#3455	—	7	1	no	—
481	#3244	—	7	1	no	—
482	#3244	—	7	1	no	—
483	#3244	—	7	1	no	—
484	#3244	—	7	1	no	—
485	#3243	—	7	1	no	—
486	#3243	—	7	1	no	—
487	#3243	—	7	1	no	—
488	#3243	—	7	1	no	—
489	#3242	—	7	1	no	—
490	#3242	—	7	1	no	—
491	#3242	—	7	1	no	—
492	#3242	D₇	1	1	yes	characteristic, complemented
493	#3241	—	7	1	no	—
494	#3241	—	7	1	no	—
495	#3241	—	7	1	no	—
496	#3241	—	7	1	no	—
497	#3162	—	7	1	no	—
498	#3160	—	7	1	no	—
499	#3135	—	7	1	no	—
500	#3131	—	7	1	no	—
501	#3091	—	7	1	no	—
502	#3091	—	7	1	no	—
503	#3091	—	7	1	no	—
504	#3091	—	7	1	no	—
505	#3076	—	7	1	no	—
506	#3076	—	7	1	no	—
507	#3076	—	7	1	no	—
508	#3076	—	7	1	no	—
509	C₂×#433	—	7	1	no	—
510	C₂³×D₇	C₂×D₄	1	1	yes	characteristic
511	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₇	—	2	1	no	—
516	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₇	—	2	1	no	—
518	C₂×C₂²⋊D₇	—	2	1	no	—
519	C₂²×Dic₇	—	2	1	no	—
520	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
521	#1161	—	2	2	no	—
522	#1161	—	2	2	no	—
523	#1161	—	2	2	no	—
524	#1161	—	2	2	no	—
525	C₂×D₂₈	—	2	1	no	—
526	C₂×D₂₈	—	2	1	no	—
527	C₂×D₂₈	—	2	1	no	—
528	C₂×D₂₈	—	2	1	no	—
529	C₂×D₂₈	—	2	1	no	—
530	C₂×D₂₈	—	2	1	no	—
531	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
532	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₄×D₇	—	2	2	no	—
534	C₂×C₄×D₇	—	2	2	no	—
535	C₂×C₄×D₇	—	2	1	no	—
536	C₂×C₄×D₇	—	2	1	no	—
537	C₂×C₄×D₇	—	2	1	no	—
538	C₂×C₄×D₇	—	2	1	no	—
539	C₂×C₄×D₇	—	2	1	no	—
540	C₂×C₄×D₇	—	2	1	no	—
541	C₂×C₄×D₇	—	2	1	no	—
542	C₂×C₄×D₇	—	2	1	no	—
543	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
544	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
545	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
546	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
547	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
548	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
549	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
551	C₂×Dic₁₄	—	2	1	no	—
552	C₂×Dic₁₄	—	2	1	no	—
553	C₂×Dic₁₄	—	2	1	no	—
554	C₂×Dic₁₄	—	2	1	no	—
555	C₂×Dic₁₄	—	2	1	no	—
556	C₂×Dic₁₄	—	2	1	no	—
557	C₂×Dic₁₄	—	2	1	no	—
558	C₂×Dic₁₄	—	2	1	no	—
559	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
560	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
561	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
562	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
563	C₇×C₄⋊C₄	—	2	1	no	—
564	C₇×C₄⋊C₄	—	2	1	no	—
565	C₇×C₄⋊C₄	—	2	1	no	—
566	C₇×C₄⋊C₄	—	2	1	no	—
567	C₇×C₄⋊C₄	—	2	1	no	—
568	C₇×C₄⋊C₄	—	2	1	no	—
569	C₇×C₄⋊C₄	—	2	1	no	—
570	C₇×C₄⋊C₄	—	2	1	no	—
571	C₇×C₄⋊C₄	—	2	1	no	—
572	C₇×C₄⋊C₄	—	2	1	no	—
573	C₇×C₄⋊C₄	—	2	1	no	—
574	C₇×C₄⋊C₄	—	2	1	no	—
575	C₇×C₄⋊C₄	—	2	1	no	—
576	C₇×C₄⋊C₄	—	2	1	no	—
577	C₇×C₄⋊C₄	—	2	1	no	—
578	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
579	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₇×C₂²⋊C₄	—	2	1	no	—
587	C₇×C₂²⋊C₄	—	2	1	no	—
588	C₇×C₂²⋊C₄	—	2	1	no	—
589	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₄²×C₇	—	2	1	no	—
592	C₄²×C₇	—	2	1	no	—
593	C₄²×C₇	—	2	1	no	—
594	C₄²×C₇	C₂⁴	1	1	yes	characteristic
595	C₄²×C₇	C₂⁴	1	1	yes	characteristic
596	C₂²⋊Dic₇	—	2	1	no	—
597	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
598	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
599	(C₂×D₇)⋊C₄	—	2	1	no	—
600	(C₂×D₇)⋊C₄	—	2	1	no	—
601	(C₂×D₇)⋊C₄	—	2	1	no	—
602	(C₂×D₇)⋊C₄	—	2	1	no	—
603	(C₂×D₇)⋊C₄	—	2	1	no	—
604	(C₂×D₇)⋊C₄	—	2	1	no	—
605	(C₂×D₇)⋊C₄	—	2	1	no	—
606	(C₂×D₇)⋊C₄	—	2	1	no	—
607	(C₂×D₇)⋊C₄	—	2	1	no	—
608	(C₂×D₇)⋊C₄	—	2	1	no	—
609	(C₂×D₇)⋊C₄	—	2	1	no	—
610	(C₂×D₇)⋊C₄	—	2	1	no	—
611	(C₂×D₇)⋊C₄	—	2	1	no	—
612	(C₂×D₇)⋊C₄	—	2	1	no	—
613	(C₂×D₇)⋊C₄	—	2	1	no	—
614	(C₂×D₇)⋊C₄	—	2	1	no	—
615	(C₂×D₇)⋊C₄	—	2	1	no	—
616	(C₂×D₇)⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
622	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
623	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
624	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₄⋊Dic₇	—	2	1	no	—
626	C₄⋊Dic₇	—	2	1	no	—
627	C₄⋊Dic₇	—	2	1	no	—
628	C₄⋊Dic₇	—	2	1	no	—
629	C₄⋊Dic₇	—	2	1	no	—
630	C₄⋊Dic₇	—	2	1	no	—
631	C₄⋊Dic₇	—	2	1	no	—
632	C₄⋊Dic₇	—	2	1	no	—
633	C₄⋊Dic₇	—	2	1	no	—
634	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
636	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
641	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
642	Dic₇⋊C₄	—	2	1	no	—
643	Dic₇⋊C₄	—	2	1	no	—
644	Dic₇⋊C₄	—	2	1	no	—
645	Dic₇⋊C₄	—	2	1	no	—
646	Dic₇⋊C₄	—	2	1	no	—
647	Dic₇⋊C₄	—	2	1	no	—
648	Dic₇⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
663	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
664	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
665	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₄×Dic₇	—	2	1	no	—
667	C₄×Dic₇	—	2	1	no	—
668	C₄×Dic₇	—	2	1	no	—
669	C₄×Dic₇	—	2	1	no	—
670	C₄×Dic₇	—	2	1	no	—
671	C₄×Dic₇	—	2	1	no	—
672	C₄×Dic₇	—	2	1	no	—
673	C₄×Dic₇	—	2	1	no	—
674	C₄×Dic₇	—	2	1	no	—
675	C₄×Dic₇	—	2	1	no	—
676	C₄×Dic₇	—	2	1	no	—
677	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
679	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
680	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
682	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
683	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
684	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
685	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
686	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
687	C₈×D₇	—	2	2	no	—
688	C₈×D₇	—	2	2	no	—
689	C₈×D₇	—	2	2	no	—
690	C₈×D₇	—	2	2	no	—
691	#544	—	7	1	no	—
692	#544	—	7	1	no	—
693	#544	—	7	1	no	—
694	#544	—	7	1	no	—
695	#544	—	7	1	no	—
696	#544	—	7	1	no	—
697	#544	—	7	1	no	—
698	#544	—	14	1	no	—
699	#544	—	14	1	no	—
700	#544	C₂×D₇	1	1	yes	characteristic
701	#543	—	14	1	no	—
702	#543	—	14	1	no	—
703	#542	—	7	1	no	—
704	#542	—	7	1	no	—
705	#542	—	7	1	no	—
706	#542	—	7	1	no	—
707	#541	—	7	1	no	—
708	#541	C₂×D₇	1	1	yes	characteristic
709	#540	—	7	1	no	—
710	#540	—	7	1	no	—
711	#539	—	14	1	no	—
712	#539	—	14	1	no	—
713	#538	—	14	1	no	—
714	#538	—	14	1	no	—
715	#533	—	7	1	no	—
716	#533	—	7	1	no	—
717	#533	—	7	1	no	—
718	#533	—	7	1	no	—
719	#533	—	7	1	no	—
720	#533	—	14	1	no	—
721	#533	—	14	1	no	—
722	#533	—	14	1	no	—
723	#533	—	14	1	no	—
724	#532	—	7	1	no	—
725	#529	—	14	1	no	—
726	#529	—	14	1	no	—
727	#529	—	14	1	no	—
728	#529	—	14	1	no	—
729	#525	—	7	1	no	—
730	#525	—	7	1	no	—
731	C₄×#41	—	7	1	no	—
732	C₄×#41	—	7	1	no	—
733	C₂×#117	—	7	1	no	—
734	C₂×#117	—	7	1	no	—
735	C₂×#117	—	7	1	no	—
736	#501	—	7	1	no	—
737	#501	—	7	1	no	—
738	#501	—	7	1	no	—
739	#501	—	7	1	no	—
740	#501	—	7	1	no	—
741	#501	—	7	1	no	—
742	#501	—	7	1	no	—
743	#501	C₂×D₇	1	1	yes	characteristic, complemented
744	#500	—	7	1	no	—
745	#500	—	7	1	no	—
746	#499	—	7	1	no	—
747	#499	—	7	1	no	—
748	#499	—	7	1	no	—
749	#499	C₂×D₇	1	1	yes	characteristic, complemented
750	#498	—	7	1	no	—
751	#498	—	7	1	no	—
752	#491	—	7	1	no	—
753	#491	C₂×D₇	1	1	yes	characteristic, complemented
754	#490	—	7	1	no	—
755	#490	—	7	1	no	—
756	#489	—	7	1	no	—
757	#489	—	7	1	no	—
758	#489	—	7	1	no	—
759	#489	—	7	1	no	—
760	#488	—	7	1	no	—
761	#488	—	7	1	no	—
762	#488	—	7	1	no	—
763	#488	—	7	1	no	—
764	#487	—	7	1	no	—
765	#487	C₂×D₇	1	1	yes	characteristic, complemented
766	#486	—	7	1	no	—
767	#486	—	7	1	no	—
768	#485	—	7	1	no	—
769	#485	—	7	1	no	—
770	#485	—	7	1	no	—
771	#485	—	7	1	no	—
772	#485	—	7	1	no	—
773	#485	—	7	1	no	—
774	#485	C₂×D₇	1	1	yes	characteristic
775	#485	C₂×D₇	1	1	yes	characteristic
776	#484	—	7	1	no	—
777	#484	—	7	1	no	—
778	#484	—	7	1	no	—
779	#484	C₂×D₇	1	1	yes	characteristic
780	#483	—	7	1	no	—
781	#483	—	7	1	no	—
782	#483	—	7	1	no	—
783	#483	C₂×D₇	1	1	yes	characteristic
784	#482	—	7	1	no	—
785	#482	—	7	1	no	—
786	#482	—	7	1	no	—
787	#482	—	7	1	no	—
788	#482	—	7	1	no	—
789	#482	—	7	1	no	—
790	#482	—	7	1	no	—
791	#482	—	7	1	no	—
792	#481	—	7	1	no	—
793	#481	—	7	1	no	—
794	#481	—	7	1	no	—
795	#481	—	7	1	no	—
796	#480	—	7	1	no	—
797	#480	—	7	1	no	—
798	#480	—	7	1	no	—
799	#480	—	7	1	no	—
800	#479	—	7	1	no	—
801	#479	—	7	1	no	—
802	#479	—	7	1	no	—
803	#479	—	7	1	no	—
804	#479	—	7	1	no	—
805	#479	—	7	1	no	—
806	#479	C₂×D₇	1	1	yes	characteristic, complemented
807	#479	C₂×D₇	1	1	yes	characteristic, complemented
808	#478	—	7	1	no	—
809	#478	—	7	1	no	—
810	#478	—	7	1	no	—
811	#478	—	7	1	no	—
812	#478	—	7	1	no	—
813	#478	—	7	1	no	—
814	#478	—	7	1	no	—
815	#478	—	7	1	no	—
816	#477	—	7	1	no	—
817	#477	—	7	1	no	—
818	#477	—	7	1	no	—
819	#477	C₂×D₇	1	1	yes	characteristic, complemented
820	#476	—	7	1	no	—
821	#476	—	7	1	no	—
822	#476	—	7	1	no	—
823	#476	—	7	1	no	—
824	#475	—	7	1	no	—
825	#475	—	7	1	no	—
826	#475	—	7	1	no	—
827	#475	C₂×D₇	1	1	yes	characteristic, complemented
828	#474	—	7	1	no	—
829	#474	—	7	1	no	—
830	#474	—	7	1	no	—
831	#474	—	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	C₂×D₇	1	1	yes	characteristic
840	#427	—	7	1	no	—
841	#427	—	7	1	no	—
842	#427	—	7	1	no	—
843	#427	—	7	1	no	—
844	#427	—	7	1	no	—
845	#427	—	7	1	no	—
846	#427	—	7	1	no	—
847	#427	—	7	1	no	—
848	C₂×C₄⋊C₈	—	7	1	no	—
849	C₂×C₄⋊C₈	—	7	1	no	—
850	#416	—	7	1	no	—
851	#416	—	7	1	no	—
852	#416	—	7	1	no	—
853	#416	—	7	1	no	—
854	#416	—	7	1	no	—
855	#416	—	7	1	no	—
856	#416	—	7	1	no	—
857	#416	—	7	1	no	—
858	C₂×C₂²⋊C₈	—	7	1	no	—
859	C₂×C₂²⋊C₈	—	7	1	no	—
860	C₂×#97	—	7	1	no	—
861	C₂×C₄×C₈	—	7	1	no	—
862	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
863	C₂²×D₇	—	2	2	no	—
864	C₂²×D₇	—	2	1	no	—
865	C₂²×D₇	—	2	1	no	—
866	C₂²×D₇	—	4	1	no	—
867	C₂²×D₇	—	4	1	no	—
868	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
869	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
870	C₇×Q₈	—	2	1	no	—
871	C₇×Q₈	—	2	1	no	—
872	C₇×Q₈	—	2	1	no	—
873	C₇×Q₈	—	2	1	no	—
874	C₇×Q₈	—	8	1	no	—
875	C₇×Q₈	—	8	1	no	—
876	C₂×C₄×C₇	—	2	1	no	—
877	C₂×C₄×C₇	—	2	1	no	—
878	C₂×C₄×C₇	—	2	1	no	—
879	C₂×C₄×C₇	—	2	1	no	—
880	C₂×C₄×C₇	—	2	1	no	—
881	C₂×C₄×C₇	—	2	1	no	—
882	C₂×C₄×C₇	—	2	1	no	—
883	C₂×C₄×C₇	—	2	1	no	—
884	C₂×C₄×C₇	—	2	1	no	—
885	C₂×C₄×C₇	—	2	1	no	—
886	C₂×C₄×C₇	—	8	1	no	—
887	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
888	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
889	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
890	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
891	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
892	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
893	C₂²⋊D₇	—	8	1	no	—
894	C₂²⋊D₇	—	8	1	no	—
895	C₂×Dic₇	—	2	2	no	—
896	C₂×Dic₇	—	2	1	no	—
897	C₂×Dic₇	—	2	1	no	—
898	C₂×Dic₇	—	2	1	no	—
899	C₂×Dic₇	—	2	1	no	—
900	C₂×Dic₇	—	2	1	no	—
901	C₂×Dic₇	—	2	1	no	—
902	C₂×Dic₇	—	8	1	no	—
903	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
904	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
905	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
906	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
907	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
908	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
909	D₂₈	—	2	1	no	—
910	D₂₈	—	2	1	no	—
911	D₂₈	—	2	1	no	—
912	D₂₈	—	2	1	no	—
913	D₂₈	—	4	2	no	—
914	D₂₈	—	4	2	no	—
915	D₂₈	—	8	1	no	—
916	D₂₈	—	8	1	no	—
917	D₂₈	—	8	1	no	—
918	D₂₈	—	8	1	no	—
919	C₄×D₇	—	2	2	no	—
920	C₄×D₇	—	2	1	no	—
921	C₄×D₇	—	2	1	no	—
922	C₄×D₇	—	2	2	no	—
923	C₄×D₇	—	4	1	no	—
924	C₄×D₇	—	4	1	no	—
925	C₄×D₇	—	4	1	no	—
926	C₄×D₇	—	4	1	no	—
927	C₄×D₇	—	4	2	no	—
928	C₄×D₇	—	4	2	no	—
929	C₄×D₇	—	8	1	no	—
930	C₄×D₇	—	8	1	no	—
931	C₄×D₇	—	8	1	no	—
932	C₄×D₇	—	8	1	no	—
933	C₄×D₇	—	8	1	no	—
934	C₄×D₇	—	8	1	no	—
935	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
936	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
937	Dic₁₄	—	8	1	no	—
938	Dic₁₄	—	8	1	no	—
939	Dic₁₄	—	8	1	no	—
940	Dic₁₄	—	8	1	no	—
941	Dic₁₄	—	8	1	no	—
942	Dic₁₄	—	8	1	no	—
943	Dic₁₄	—	8	1	no	—
944	Dic₁₄	—	8	1	no	—
945	C₇×C₈	—	2	1	no	—
946	C₇×C₈	—	2	1	no	—
947	C₇×C₈	—	2	1	no	—
948	C₇×C₈	—	2	1	no	—
949	C₇⋊C₈	—	2	1	no	—
950	C₇⋊C₈	—	2	1	no	—
951	C₇⋊C₈	—	2	1	no	—
952	C₇⋊C₈	—	2	1	no	—
953	C₂×#41	—	7	1	no	—
954	C₂×#41	—	7	1	no	—
955	C₂³×C₄	—	7	1	no	—
956	C₂²×C₈	—	7	1	no	—
957	C₂²×C₈	—	7	1	no	—
958	C₂²×C₈	—	7	1	no	—
959	C₂²×C₈	—	7	1	no	—
960	C₄⋊Q₈	—	2	1	no	—
961	C₄⋊Q₈	—	7	1	no	—
962	C₄⋊Q₈	—	7	1	no	—
963	C₄⋊Q₈	—	7	1	no	—
964	C₄⋊Q₈	—	7	1	no	—
965	C₄⋊Q₈	—	7	1	no	—
966	C₄⋊Q₈	—	7	1	no	—
967	C₄⋊Q₈	—	7	1	no	—
968	C₄⋊Q₈	—	7	1	no	—
969	C₄⋊Q₈	—	14	1	no	—
970	C₄⋊Q₈	—	14	1	no	—
971	C₄⋊Q₈	—	14	1	no	—
972	C₄⋊Q₈	—	14	1	no	—
973	C₄⋊Q₈	—	14	1	no	—
974	C₄⋊Q₈	—	14	1	no	—
975	C₄⋊Q₈	—	14	1	no	—
976	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
977	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
978	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
979	#127	—	7	1	no	—
980	#126	—	2	1	no	—
981	#126	—	2	1	no	—
982	#126	—	14	1	no	—
983	#126	—	14	1	no	—
984	#126	—	14	1	no	—
985	#126	—	14	1	no	—
986	#126	—	14	1	no	—
987	#126	—	14	1	no	—
988	#125	—	2	1	no	—
989	#125	—	2	1	no	—
990	#125	—	2	1	no	—
991	#125	—	7	1	no	—
992	#125	—	7	1	no	—
993	#125	—	7	1	no	—
994	#125	—	7	1	no	—
995	#125	—	7	1	no	—
996	#125	—	7	1	no	—
997	#125	—	7	1	no	—
998	#125	—	14	1	no	—
999	#125	—	14	1	no	—
1000	#125	—	14	1	no	—
1001	#125	—	14	1	no	—
1002	#125	—	14	1	no	—
1003	#125	—	14	1	no	—
1004	#125	—	14	1	no	—
1005	#125	—	14	1	no	—
1006	#125	—	14	1	no	—
1007	#125	C₂²×D₇	1	1	yes	characteristic
1008	#125	C₂²×D₇	1	1	yes	characteristic
1009	#125	C₂²×D₇	1	1	yes	characteristic
1010	#124	—	7	1	no	—
1011	#124	—	7	1	no	—
1012	#124	—	14	1	no	—
1013	#124	—	14	1	no	—
1014	#124	—	14	1	no	—
1015	#124	—	14	1	no	—
1016	#123	—	14	1	no	—
1017	#123	—	14	1	no	—
1018	#123	—	14	1	no	—
1019	#123	—	14	1	no	—
1020	#123	—	14	1	no	—
1021	#123	—	14	1	no	—
1022	#123	—	14	1	no	—
1023	#123	—	14	1	no	—
1024	#123	—	14	1	no	—
1025	#123	—	14	1	no	—
1026	C₂²⋊Q₈	—	2	1	no	—
1027	C₂²⋊Q₈	—	2	1	no	—
1028	C₂²⋊Q₈	—	7	1	no	—
1029	C₂²⋊Q₈	—	7	1	no	—
1030	C₂²⋊Q₈	—	14	1	no	—
1031	C₂²⋊Q₈	—	14	1	no	—
1032	C₂²⋊Q₈	—	14	1	no	—
1033	C₂²⋊Q₈	—	14	1	no	—
1034	C₂²⋊Q₈	—	14	1	no	—
1035	C₂²⋊Q₈	—	14	1	no	—
1036	C₂²⋊Q₈	—	14	1	no	—
1037	C₂²⋊Q₈	—	14	1	no	—
1038	C₂²⋊Q₈	—	14	1	no	—
1039	C₂²⋊Q₈	—	14	1	no	—
1040	C₂²⋊Q₈	—	14	1	no	—
1041	C₂²⋊Q₈	—	14	1	no	—
1042	C₂²⋊Q₈	—	14	1	no	—
1043	C₂²⋊Q₈	—	14	1	no	—
1044	C₂²⋊Q₈	—	14	1	no	—
1045	C₂²⋊Q₈	—	14	1	no	—
1046	C₂²⋊Q₈	—	14	1	no	—
1047	C₂²⋊Q₈	—	14	1	no	—
1048	C₂²⋊Q₈	—	14	1	no	—
1049	C₂²⋊Q₈	—	14	1	no	—
1050	C₂²⋊Q₈	—	14	1	no	—
1051	C₂²⋊Q₈	—	14	1	no	—
1052	C₂²⋊Q₈	—	14	1	no	—
1053	C₂²⋊Q₈	—	14	1	no	—
1054	C₂²⋊Q₈	—	14	1	no	—
1055	C₂²⋊Q₈	—	14	1	no	—
1056	C₂²⋊Q₈	—	14	1	no	—
1057	C₂²⋊Q₈	—	14	1	no	—
1058	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1059	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1060	#121	—	7	1	no	—
1061	#121	—	7	1	no	—
1062	#121	—	7	1	no	—
1063	#121	—	7	1	no	—
1064	#121	—	14	1	no	—
1065	#121	—	14	1	no	—
1066	#121	—	14	1	no	—
1067	#121	—	14	1	no	—
1068	#121	—	14	1	no	—
1069	#121	—	14	1	no	—
1070	#120	—	14	1	no	—
1071	#120	—	14	1	no	—
1072	C₄×Q₈	—	7	1	no	—
1073	C₄×Q₈	—	7	1	no	—
1074	C₄×Q₈	—	14	1	no	—
1075	C₄×Q₈	—	14	1	no	—
1076	C₄×Q₈	—	14	1	no	—
1077	C₄×Q₈	—	14	1	no	—
1078	C₄×Q₈	—	14	1	no	—
1079	C₄×Q₈	—	14	1	no	—
1080	C₄×Q₈	—	14	1	no	—
1081	C₄×Q₈	—	14	1	no	—
1082	C₄×Q₈	—	14	1	no	—
1083	C₄×Q₈	—	14	1	no	—
1084	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1085	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1086	C₄×D₄	—	7	1	no	—
1087	C₄×D₄	—	7	1	no	—
1088	C₄×D₄	—	7	1	no	—
1089	C₄×D₄	—	7	1	no	—
1090	C₄×D₄	—	14	1	no	—
1091	C₄×D₄	—	14	1	no	—
1092	C₄×D₄	—	14	1	no	—
1093	C₄×D₄	—	14	1	no	—
1094	C₄×D₄	—	14	1	no	—
1095	C₄×D₄	—	14	1	no	—
1096	C₄×D₄	—	14	1	no	—
1097	C₄×D₄	—	14	1	no	—
1098	C₄×D₄	—	14	1	no	—
1099	C₄×D₄	—	14	1	no	—
1100	#117	—	7	1	no	—
1101	#117	—	7	1	no	—
1102	#117	—	7	1	no	—
1103	#117	—	7	1	no	—
1104	#117	—	7	1	no	—
1105	#117	—	7	1	no	—
1106	#117	—	7	1	no	—
1107	#117	—	7	1	no	—
1108	#117	—	7	1	no	—
1109	#117	—	7	1	no	—
1110	#117	—	7	1	no	—
1111	#117	—	7	1	no	—
1112	#117	—	7	1	no	—
1113	#117	—	7	1	no	—
1114	#117	—	7	1	no	—
1115	#117	—	7	1	no	—
1116	#117	—	14	1	no	—
1117	#117	—	14	1	no	—
1118	#117	—	14	1	no	—
1119	#117	—	14	1	no	—
1120	#117	—	14	1	no	—
1121	#117	—	14	1	no	—
1122	#117	C₂²×D₇	1	1	yes	characteristic
1123	#117	C₂²×D₇	1	1	yes	characteristic
1124	C₂×C₄⋊C₄	—	7	1	no	—
1125	C₂×C₄⋊C₄	—	7	1	no	—
1126	C₂×C₄⋊C₄	—	7	1	no	—
1127	C₂×C₄⋊C₄	—	7	1	no	—
1128	C₂×C₄⋊C₄	—	7	1	no	—
1129	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	—	7	1	no	—
1131	C₂×C₂²⋊C₄	—	7	1	no	—
1132	C₂×C₂²⋊C₄	—	14	1	no	—
1133	C₂×C₂²⋊C₄	—	14	1	no	—
1134	C₂×C₄²	—	7	1	no	—
1135	C₂×C₄²	—	7	1	no	—
1136	C₂×C₄²	—	14	1	no	—
1137	C₂×C₄²	—	14	1	no	—
1138	C₂×C₄²	—	14	1	no	—
1139	C₂×C₄²	—	14	1	no	—
1140	#107	—	7	1	no	—
1141	#107	—	7	1	no	—
1142	#107	—	7	1	no	—
1143	#107	—	7	1	no	—
1144	#107	—	7	1	no	—
1145	#107	—	7	1	no	—
1146	#107	—	7	1	no	—
1147	#107	—	7	1	no	—
1148	#107	—	7	1	no	—
1149	#107	—	7	1	no	—
1150	#107	—	7	1	no	—
1151	#107	—	7	1	no	—
1152	#107	C₂²×D₇	1	1	yes	characteristic
1153	#107	C₂²×D₇	1	1	yes	characteristic
1154	#107	C₂²×D₇	1	1	yes	characteristic
1155	#107	C₂²×D₇	1	1	yes	characteristic
1156	#106	—	7	1	no	—
1157	#106	—	7	1	no	—
1158	#106	—	7	1	no	—
1159	#106	—	7	1	no	—
1160	#106	—	7	1	no	—
1161	#106	—	7	1	no	—
1162	#106	—	7	1	no	—
1163	#106	—	7	1	no	—
1164	#106	—	7	1	no	—
1165	#106	—	7	1	no	—
1166	#106	—	7	1	no	—
1167	#106	—	7	1	no	—
1168	#106	C₂²×D₇	1	1	yes	characteristic
1169	#106	C₂²×D₇	1	1	yes	characteristic
1170	#106	C₂²×D₇	1	1	yes	characteristic
1171	#106	C₂²×D₇	1	1	yes	characteristic
1172	C₄⋊C₈	—	7	1	no	—
1173	C₄⋊C₈	—	7	1	no	—
1174	C₄⋊C₈	—	7	1	no	—
1175	C₄⋊C₈	—	7	1	no	—
1176	C₄⋊C₈	—	7	1	no	—
1177	C₄⋊C₈	—	7	1	no	—
1178	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1179	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1180	#103	—	7	1	no	—
1181	#103	—	7	1	no	—
1182	#103	—	7	1	no	—
1183	#103	—	7	1	no	—
1184	#103	—	7	1	no	—
1185	#103	—	7	1	no	—
1186	#103	—	7	1	no	—
1187	#103	—	7	1	no	—
1188	#103	C₂²×D₇	1	1	yes	characteristic
1189	#103	C₂²×D₇	1	1	yes	characteristic
1190	#103	C₂²×D₇	1	1	yes	characteristic
1191	#103	C₂²×D₇	1	1	yes	characteristic
1192	#103	C₂²×D₇	1	1	yes	characteristic
1193	#103	C₂²×D₇	1	1	yes	characteristic
1194	#103	C₂²×D₇	1	1	yes	characteristic
1195	#103	C₂²×D₇	1	1	yes	characteristic
1196	#102	—	7	1	no	—
1197	#102	—	7	1	no	—
1198	#102	—	7	1	no	—
1199	#102	—	7	1	no	—
1200	#102	—	7	1	no	—
1201	#102	—	7	1	no	—
1202	#102	—	7	1	no	—
1203	#102	—	7	1	no	—
1204	#102	—	7	1	no	—
1205	#102	—	7	1	no	—
1206	#102	—	7	1	no	—
1207	#102	—	7	1	no	—
1208	#102	—	7	1	no	—
1209	#102	—	7	1	no	—
1210	#102	—	7	1	no	—
1211	#102	—	7	1	no	—
1212	C₂²⋊C₈	—	7	1	no	—
1213	C₂²⋊C₈	—	7	1	no	—
1214	C₂²⋊C₈	—	7	1	no	—
1215	C₂²⋊C₈	—	7	1	no	—
1216	C₂²⋊C₈	—	7	1	no	—
1217	C₂²⋊C₈	—	7	1	no	—
1218	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1219	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1220	#97	—	7	1	no	—
1221	#97	—	7	1	no	—
1222	#97	—	7	1	no	—
1223	#97	C₂²×D₇	1	1	yes	characteristic
1224	C₄×C₈	—	7	1	no	—
1225	C₄×C₈	—	7	1	no	—
1226	C₄×C₈	—	7	1	no	—
1227	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1228	C₂²×C₇	—	2	1	no	—
1229	C₂²×C₇	—	2	1	no	—
1230	C₂²×C₇	—	2	1	no	—
1231	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1232	C₂×D₇	—	2	1	no	—
1233	C₂×D₇	—	2	1	no	—
1234	C₂×D₇	—	2	1	no	—
1235	C₂×D₇	—	2	1	no	—
1236	C₂×D₇	—	2	1	no	—
1237	C₂×D₇	—	4	1	no	—
1238	C₂×D₇	—	4	1	no	—
1239	C₂×D₇	—	4	1	no	—
1240	C₂×D₇	—	4	1	no	—
1241	C₂×D₇	—	4	1	no	—
1242	C₂×D₇	—	4	1	no	—
1243	C₂×D₇	—	8	2	no	—
1244	C₂×D₇	#536	1	2	yes	—
1245	C₄×C₇	—	2	1	no	—
1246	C₄×C₇	—	2	1	no	—
1247	C₄×C₇	—	2	1	no	—
1248	C₄×C₇	—	2	1	no	—
1249	C₄×C₇	—	2	1	no	—
1250	C₄×C₇	—	4	1	no	—
1251	C₄×C₇	—	4	1	no	—
1252	C₄×C₇	—	4	1	no	—
1253	C₄×C₇	—	4	1	no	—
1254	C₄×C₇	—	4	1	no	—
1255	C₄×C₇	—	4	1	no	—
1256	C₄×C₇	—	4	1	no	—
1257	C₄×C₇	—	4	1	no	—
1258	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1259	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1260	Dic₇	—	2	1	no	—
1261	Dic₇	—	2	1	no	—
1262	Dic₇	—	2	1	no	—
1263	Dic₇	—	2	1	no	—
1264	Dic₇	—	2	1	no	—
1265	Dic₇	—	4	1	no	—
1266	Dic₇	—	4	1	no	—
1267	Dic₇	—	4	1	no	—
1268	Dic₇	—	4	1	no	—
1269	Dic₇	—	4	1	no	—
1270	Dic₇	—	4	1	no	—
1271	Dic₇	#536	1	2	yes	—
1272	C₂⁴	—	7	1	no	—
1273	#41	—	14	2	no	—
1274	#41	—	14	2	no	—
1275	#41	—	14	2	no	—
1276	#41	—	14	2	no	—
1277	C₂×Q₈	—	2	1	no	—
1278	C₂×Q₈	—	2	1	no	—
1279	C₂×Q₈	—	14	1	no	—
1280	C₂×Q₈	—	14	1	no	—
1281	C₂×Q₈	—	14	1	no	—
1282	C₂×Q₈	—	14	1	no	—
1283	C₂×Q₈	—	14	1	no	—
1284	C₂×Q₈	—	14	1	no	—
1285	C₂×Q₈	—	14	1	no	—
1286	C₂×Q₈	—	14	1	no	—
1287	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1288	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1289	C₂×D₄	—	7	1	no	—
1290	C₂×D₄	—	7	1	no	—
1291	C₂×D₄	—	14	1	no	—
1292	C₂×D₄	—	14	1	no	—
1293	C₂×D₄	—	14	1	no	—
1294	C₂×D₄	—	14	1	no	—
1295	C₂×D₄	—	14	1	no	—
1296	C₂×D₄	—	14	1	no	—
1297	C₂×D₄	—	14	1	no	—
1298	C₂×D₄	—	14	1	no	—
1299	C₂²×C₄	—	2	1	no	—
1300	C₂²×C₄	—	7	1	no	—
1301	C₂²×C₄	—	7	1	no	—
1302	C₂²×C₄	—	7	1	no	—
1303	C₂²×C₄	—	7	1	no	—
1304	C₂²×C₄	—	7	1	no	—
1305	C₂²×C₄	—	7	1	no	—
1306	C₂²×C₄	—	7	1	no	—
1307	C₂²×C₄	—	7	1	no	—
1308	C₂²×C₄	—	7	1	no	—
1309	C₂²×C₄	—	14	2	no	—
1310	C₂²×C₄	—	14	2	no	—
1311	C₂²×C₄	—	14	1	no	—
1312	C₂²×C₄	—	14	1	no	—
1313	C₂²×C₄	—	14	1	no	—
1314	C₂²×C₄	—	14	1	no	—
1315	C₂²×C₄	—	14	1	no	—
1316	C₂²×C₄	—	14	1	no	—
1317	C₂²×C₄	—	14	1	no	—
1318	C₂²×C₄	—	14	1	no	—
1319	C₂²×C₄	—	14	1	no	—
1320	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1321	C₂×C₈	—	7	1	no	—
1322	C₂×C₈	—	7	1	no	—
1323	C₂×C₈	—	7	1	no	—
1324	C₂×C₈	—	7	1	no	—
1325	C₂×C₈	—	14	2	no	—
1326	C₂×C₈	—	14	2	no	—
1327	C₂×C₈	—	14	2	no	—
1328	C₂×C₈	—	14	2	no	—
1329	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1330	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1331	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1332	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	7	1	no	—
1349	C₄⋊C₄	—	7	1	no	—
1350	C₄⋊C₄	—	7	1	no	—
1351	C₄⋊C₄	—	7	1	no	—
1352	C₄⋊C₄	—	7	1	no	—
1353	C₄⋊C₄	—	7	1	no	—
1354	C₄⋊C₄	—	7	1	no	—
1355	C₄⋊C₄	—	7	1	no	—
1356	C₄⋊C₄	—	7	1	no	—
1357	C₄⋊C₄	—	7	1	no	—
1358	C₄⋊C₄	—	7	1	no	—
1359	C₄⋊C₄	—	7	1	no	—
1360	C₄⋊C₄	—	14	1	no	—
1361	C₄⋊C₄	—	14	1	no	—
1362	C₄⋊C₄	—	14	1	no	—
1363	C₄⋊C₄	—	14	1	no	—
1364	C₄⋊C₄	—	14	1	no	—
1365	C₄⋊C₄	—	14	1	no	—
1366	C₄⋊C₄	—	14	1	no	—
1367	C₄⋊C₄	—	14	1	no	—
1368	C₄⋊C₄	—	14	1	no	—
1369	C₄⋊C₄	—	14	1	no	—
1370	C₄⋊C₄	—	14	1	no	—
1371	C₄⋊C₄	—	14	1	no	—
1372	C₄⋊C₄	—	14	1	no	—
1373	C₄⋊C₄	—	14	1	no	—
1374	C₄⋊C₄	—	14	1	no	—
1375	C₄⋊C₄	—	14	1	no	—
1376	C₄⋊C₄	—	14	1	no	—
1377	C₄⋊C₄	—	14	1	no	—
1378	C₄⋊C₄	—	14	1	no	—
1379	C₄⋊C₄	—	14	1	no	—
1380	C₄⋊C₄	—	14	1	no	—
1381	C₄⋊C₄	—	14	1	no	—
1382	C₄⋊C₄	—	14	1	no	—
1383	C₄⋊C₄	—	14	1	no	—
1384	C₄⋊C₄	—	14	1	no	—
1385	C₄⋊C₄	—	14	1	no	—
1386	C₄⋊C₄	—	14	1	no	—
1387	C₄⋊C₄	—	14	1	no	—
1388	C₄⋊C₄	—	14	1	no	—
1389	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1390	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1391	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1392	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1393	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1394	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1395	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1396	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1397	C₂²⋊C₄	—	2	1	no	—
1398	C₂²⋊C₄	—	2	1	no	—
1399	C₂²⋊C₄	—	2	1	no	—
1400	C₂²⋊C₄	—	7	1	no	—
1401	C₂²⋊C₄	—	7	1	no	—
1402	C₂²⋊C₄	—	7	1	no	—
1403	C₂²⋊C₄	—	7	1	no	—
1404	C₂²⋊C₄	—	7	1	no	—
1405	C₂²⋊C₄	—	7	1	no	—
1406	C₂²⋊C₄	—	14	1	no	—
1407	C₂²⋊C₄	—	14	1	no	—
1408	C₂²⋊C₄	—	14	1	no	—
1409	C₂²⋊C₄	—	14	1	no	—
1410	C₂²⋊C₄	—	14	1	no	—
1411	C₂²⋊C₄	—	14	1	no	—
1412	C₂²⋊C₄	—	14	1	no	—
1413	C₂²⋊C₄	—	14	1	no	—
1414	C₂²⋊C₄	—	14	1	no	—
1415	C₂²⋊C₄	—	14	1	no	—
1416	C₂²⋊C₄	—	14	1	no	—
1417	C₂²⋊C₄	—	14	1	no	—
1418	C₂²⋊C₄	—	14	1	no	—
1419	C₂²⋊C₄	—	14	1	no	—
1420	C₂²⋊C₄	—	14	1	no	—
1421	C₂²⋊C₄	—	14	1	no	—
1422	C₂²⋊C₄	—	14	1	no	—
1423	C₂²⋊C₄	—	14	1	no	—
1424	C₂²⋊C₄	—	14	1	no	—
1425	C₂²⋊C₄	—	14	1	no	—
1426	C₂²⋊C₄	—	14	1	no	—
1427	C₂²⋊C₄	—	14	1	no	—
1428	C₂²⋊C₄	—	14	1	no	—
1429	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1430	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	7	1	no	—
1435	C₄²	—	7	1	no	—
1436	C₄²	—	7	1	no	—
1437	C₄²	—	7	1	no	—
1438	C₄²	—	7	1	no	—
1439	C₄²	—	7	1	no	—
1440	C₄²	—	14	1	no	—
1441	C₄²	—	14	1	no	—
1442	C₄²	—	14	1	no	—
1443	C₄²	—	14	1	no	—
1444	C₄²	—	14	1	no	—
1445	C₄²	—	14	1	no	—
1446	C₄²	—	14	1	no	—
1447	C₄²	—	14	1	no	—
1448	C₄²	—	14	1	no	—
1449	C₄²	—	14	1	no	—
1450	C₄²	—	14	1	no	—
1451	C₄²	C₂³×D₇	1	1	yes	characteristic
1452	C₄²	C₂³×D₇	1	1	yes	characteristic
1453	C₂×C₇	—	4	1	no	—
1454	C₂×C₇	C₂×#536	1	1	yes	characteristic
1455	C₂×C₇	#3584	1	1	yes	characteristic
1456	C₂×C₇	#3584	1	1	yes	characteristic
1457	D₇	—	2	2	no	—
1458	D₇	—	4	1	no	—
1459	D₇	—	8	1	no	—
1460	D₇	—	8	1	no	—
1461	C₂³	—	7	1	no	—
1462	C₂³	—	7	1	no	—
1463	C₂³	—	14	2	no	—
1464	C₂³	—	14	1	no	—
1465	C₂³	—	14	1	no	—
1466	C₂³	—	28	1	no	—
1467	C₂³	—	28	1	no	—
1468	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1469	Q₈	—	2	1	no	—
1470	Q₈	—	2	1	no	—
1471	Q₈	—	2	1	no	—
1472	Q₈	—	2	1	no	—
1473	Q₈	—	8	1	no	—
1474	Q₈	—	8	1	no	—
1475	Q₈	—	56	1	no	—
1476	Q₈	—	56	1	no	—
1477	Q₈	—	56	1	no	—
1478	Q₈	—	56	1	no	—
1479	Q₈	—	56	1	no	—
1480	Q₈	—	56	1	no	—
1481	Q₈	—	56	1	no	—
1482	Q₈	—	56	1	no	—
1483	D₄	—	14	1	no	—
1484	D₄	—	14	1	no	—
1485	D₄	—	14	1	no	—
1486	D₄	—	14	1	no	—
1487	D₄	—	28	2	no	—
1488	D₄	—	28	2	no	—
1489	D₄	—	56	1	no	—
1490	D₄	—	56	1	no	—
1491	D₄	—	56	1	no	—
1492	D₄	—	56	1	no	—
1493	D₄	—	56	1	no	—
1494	D₄	—	56	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	2	1	no	—
1504	C₂×C₄	—	2	1	no	—
1505	C₂×C₄	—	7	1	no	—
1506	C₂×C₄	—	7	2	no	—
1507	C₂×C₄	—	7	2	no	—
1508	C₂×C₄	—	7	1	no	—
1509	C₂×C₄	—	7	1	no	—
1510	C₂×C₄	—	7	1	no	—
1511	C₂×C₄	—	7	1	no	—
1512	C₂×C₄	—	7	1	no	—
1513	C₂×C₄	—	8	1	no	—
1514	C₂×C₄	—	14	2	no	—
1515	C₂×C₄	—	14	2	no	—
1516	C₂×C₄	—	14	2	no	—
1517	C₂×C₄	—	14	1	no	—
1518	C₂×C₄	—	14	1	no	—
1519	C₂×C₄	—	14	1	no	—
1520	C₂×C₄	—	14	1	no	—
1521	C₂×C₄	—	14	1	no	—
1522	C₂×C₄	—	14	1	no	—
1523	C₂×C₄	—	14	1	no	—
1524	C₂×C₄	—	14	1	no	—
1525	C₂×C₄	—	28	1	no	—
1526	C₂×C₄	—	28	1	no	—
1527	C₂×C₄	—	28	1	no	—
1528	C₂×C₄	—	28	1	no	—
1529	C₂×C₄	—	28	2	no	—
1530	C₂×C₄	—	28	2	no	—
1531	C₂×C₄	—	56	1	no	—
1532	C₂×C₄	—	56	1	no	—
1533	C₂×C₄	—	56	1	no	—
1534	C₂×C₄	—	56	1	no	—
1535	C₂×C₄	—	56	1	no	—
1536	C₂×C₄	—	56	1	no	—
1537	C₂×C₄	—	56	1	no	—
1538	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1539	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1540	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1541	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1542	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1543	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1544	C₈	—	2	1	no	—
1545	C₈	—	2	1	no	—
1546	C₈	—	2	1	no	—
1547	C₈	—	2	1	no	—
1548	C₈	—	14	1	no	—
1549	C₈	—	14	1	no	—
1550	C₈	—	14	1	no	—
1551	C₈	—	14	1	no	—
1552	C₇	#60859	1	1	yes	characteristic, complemented, Sylow
1553	C₂²	—	2	1	no	—
1554	C₂²	—	2	1	no	—
1555	C₂²	—	2	1	no	—
1556	C₂²	—	7	2	no	—
1557	C₂²	—	14	1	no	—
1558	C₂²	—	14	1	no	—
1559	C₂²	—	14	1	no	—
1560	C₂²	—	14	1	no	—
1561	C₂²	—	14	1	no	—
1562	C₂²	—	28	1	no	—
1563	C₂²	—	28	1	no	—
1564	C₂²	—	28	1	no	—
1565	C₂²	—	28	1	no	—
1566	C₂²	—	28	1	no	—
1567	C₂²	—	28	1	no	—
1568	C₂²	—	56	2	no	—
1569	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	4	1	no	—
1581	C₄	—	4	1	no	—
1582	C₄	—	4	1	no	—
1583	C₄	—	7	2	no	—
1584	C₄	—	14	1	no	—
1585	C₄	—	14	1	no	—
1586	C₄	—	14	1	no	—
1587	C₄	—	14	1	no	—
1588	C₄	—	14	1	no	—
1589	C₄	—	28	1	no	—
1590	C₄	—	28	1	no	—
1591	C₄	—	28	1	no	—
1592	C₄	—	28	1	no	—
1593	C₄	—	28	1	no	—
1594	C₄	—	28	1	no	—
1595	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1596	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1597	C₂	—	4	1	no	—
1598	C₂	—	14	2	no	—
1599	C₂	—	28	1	no	—
1600	C₂	—	56	1	no	—
1601	C₂	—	56	1	no	—
1602	C₂	D₇×#536	1	1	yes	characteristic
1603	C₂	#11744274	1	1	yes	characteristic
1604	C₂	#11744278	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×#3242	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743563	C₂
hypercenter	#3242	D₇
hypocenter	C₇	#60859
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3242

Complements

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

N	H ≅ G/N	type
1. #11743649	C₂	semidirect
3. C₇×#3242	C₂	semidirect
4. #11740922	C₂	semidirect
5. #11740887	C₂	semidirect
6. #11739431	C₂	semidirect
7. #11739418	C₂	semidirect
8. #11739367	C₂	semidirect
9. #11739361	C₂	semidirect
10. #11739192	C₂	semidirect
11. #11739182	C₂	semidirect
12. #11739056	C₂	semidirect
13. #11739043	C₂	semidirect
14. #11738960	C₂	semidirect
15. #11738960	C₂	semidirect
16. #11738952	C₂	semidirect
17. #11738951	C₂	semidirect
18. #11738912	C₂	semidirect
19. #11738906	C₂	semidirect
20. #11738871	C₂	semidirect
21. #11738868	C₂	semidirect
22. #11738688	C₂	semidirect
23. #11738687	C₂	semidirect
24. #11738674	C₂	semidirect
25. #11738674	C₂	semidirect
26. #11738562	C₂	semidirect
27. #11738552	C₂	semidirect
28. #11738465	C₂	semidirect
29. #11738455	C₂	semidirect
30. D₇×#433	C₂	semidirect
31. #11736807	C₂	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#499	C₂²	semidirect
79. C₇×#491	C₂²	semidirect
80. C₇×#487	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#479	C₂²	semidirect
87. C₇×#477	C₂²	semidirect
88. C₇×#475	C₂²	semidirect
90. #89860	C₂²	semidirect
91. #89859	C₂²	semidirect
92. #89856	C₂²	semidirect
93. #89854	C₂²	semidirect
94. #89853	C₂²	semidirect
95. #89852	C₂²	semidirect
96. #89839	C₂²	semidirect
97. #89838	C₂²	semidirect
98. #89838	C₂²	semidirect
99. #89837	C₂²	semidirect
100. #89836	C₂²	semidirect
101. #89836	C₂²	semidirect
106. #89794	C₂²	semidirect
107. #89794	C₂²	semidirect
108. #89793	C₂²	semidirect
109. #89792	C₂²	semidirect
115. #89663	C₂²	semidirect
116. #89663	C₂²	semidirect
117. #89662	C₂²	semidirect
118. #89662	C₂²	semidirect
127. #89648	C₂²	semidirect
128. #89648	C₂²	semidirect
129. #89646	C₂²	semidirect
130. #89646	C₂²	semidirect
131. #89643	C₂²	semidirect
132. #89643	C₂²	semidirect
133. #89642	C₂²	semidirect
134. #89642	C₂²	semidirect
143. #89628	C₂²	semidirect
144. #89628	C₂²	semidirect
145. #89627	C₂²	semidirect
146. #89627	C₂²	semidirect
147. #89619	C₂²	semidirect
148. #89619	C₂²	semidirect
149. #89618	C₂²	semidirect
150. #89614	C₂²	semidirect
171. #89572	C₂²	semidirect
172. #89572	C₂²	semidirect
173. #89572	C₂²	semidirect
174. #89572	C₂²	semidirect
175. #89571	C₂²	semidirect
176. #89571	C₂²	semidirect
177. #89568	C₂²	semidirect
178. #89568	C₂²	semidirect
179. #89567	C₂²	semidirect
180. #89567	C₂²	semidirect
181. #89567	C₂²	semidirect
182. #89567	C₂²	semidirect
183. #89566	C₂²	semidirect
184. #89566	C₂²	semidirect
185. #89563	C₂²	semidirect
186. #89563	C₂²	semidirect
195. #89485	C₂²	semidirect
198. #89474	C₂²	semidirect
199. #89466	C₂²	semidirect
202. #89455	C₂²	semidirect
492. #3242	D₇	semidirect
743. #501	C₂×D₇	semidirect
749. #499	C₂×D₇	semidirect
753. #491	C₂×D₇	semidirect
765. #487	C₂×D₇	semidirect
806. #479	C₂×D₇	semidirect
807. #479	C₂×D₇	semidirect
819. #477	C₂×D₇	semidirect
827. #475	C₂×D₇	semidirect
1552. C₇	#60859	semidirect

Maximal subgroups

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

subgroup	index
#11743649	2
#11743563	2
C₇×#3242	2
#11740922	2
#11740887	2
#11739431	2
#11739418	2
#11739367	2
#11739361	2
#11739192	2
#11739182	2
#11739056	2
#11739043	2
#11738960	2
#11738952	2
#11738951	2
#11738912	2
#11738906	2
#11738871	2
#11738868	2
#11738688	2
#11738687	2
#11738674	2
#11738562	2
#11738552	2
#11738465	2
#11738455	2
D₇×#433	2
#11736807	2
#60859	7