Subgroups — #14250767

Order 1792.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11744106	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743819	C₂	1	1	yes	maximal, characteristic
3	C₇×#3386	C₂	1	1	yes	maximal, characteristic, complemented
4	#11741145	C₂	1	1	yes	maximal, characteristic, complemented
5	#11741003	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739436	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739435	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739433	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739425	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739392	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739390	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738635	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738631	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738615	C₂	1	1	yes	maximal, characteristic, complemented
15	D₇×#478	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738572	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738570	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738563	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738544	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738475	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738448	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738427	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738413	C₂	1	1	yes	maximal, characteristic, complemented
24	#11737430	C₂	1	1	yes	maximal, characteristic, complemented
25	#11737391	C₂	1	1	yes	maximal, characteristic, complemented
26	#11737248	C₂	1	1	yes	maximal, characteristic, complemented
27	#11737247	C₂	1	1	yes	maximal, characteristic, complemented
28	#11737231	C₂	1	1	yes	maximal, characteristic, complemented
29	#11737224	C₂	1	1	yes	maximal, characteristic, complemented
30	#11737122	C₂	1	1	yes	maximal, characteristic, complemented
31	#11737102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#557	C₂²	1	1	yes	characteristic, complemented
33	C₇×D₄×Q₈	C₂²	1	1	yes	characteristic
34	#90508	—	2	1	no	—
35	C₂×#6509	—	2	1	no	—
36	#90426	—	2	1	no	—
37	#90424	C₂²	1	1	yes	characteristic
38	#90424	C₂²	1	1	yes	characteristic
39	#90421	C₂²	1	1	yes	characteristic
40	#90421	C₂²	1	1	yes	characteristic
41	#90421	C₂²	1	1	yes	characteristic
42	#90420	—	2	1	no	—
43	#90420	C₂²	1	1	yes	characteristic, complemented
44	#90419	C₂²	1	1	yes	characteristic
45	#90417	C₂²	1	1	yes	characteristic
46	#90387	—	2	1	no	—
47	#90385	C₂²	1	1	yes	characteristic
48	#90385	C₂²	1	1	yes	characteristic, complemented
49	#90384	—	2	1	no	—
50	#90383	—	2	1	no	—
51	#90380	C₂²	1	1	yes	characteristic, complemented
52	D₇×#125	C₂²	1	1	yes	characteristic
53	C₇⋊#564	—	2	1	no	—
54	#90336	—	2	1	no	—
55	#90336	—	2	1	no	—
56	#90333	—	2	1	no	—
57	#90328	—	2	1	no	—
58	#90328	—	2	1	no	—
59	#90318	—	2	1	no	—
60	#90275	C₂²	1	1	yes	characteristic
61	#90274	—	2	1	no	—
62	#90274	C₂²	1	1	yes	characteristic, complemented
63	#90274	C₂²	1	1	yes	characteristic, complemented
64	#90272	—	2	1	no	—
65	#90272	C₂²	1	1	yes	characteristic
66	#90272	C₂²	1	1	yes	characteristic, complemented
67	#90271	C₂²	1	1	yes	characteristic
68	#90270	C₂²	1	1	yes	characteristic
69	#90269	C₂²	1	1	yes	characteristic
70	#90258	C₂²	1	1	yes	characteristic, complemented
71	#90246	C₂²	1	1	yes	characteristic
72	#90245	C₂²	1	1	yes	characteristic
73	#90245	C₂²	1	1	yes	characteristic
74	#90237	C₂²	1	1	yes	characteristic
75	#90237	C₂²	1	1	yes	characteristic
76	C₄×D₄×D₇	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#501	C₂²	1	1	yes	characteristic, complemented
79	C₇×#500	C₂²	1	1	yes	characteristic, complemented
80	C₇×#478	C₂²	1	1	yes	characteristic
81	C₇×#478	C₂²	1	1	yes	characteristic
82	C₇×#477	C₂²	1	1	yes	characteristic, complemented
83	C₇×#477	C₂²	1	1	yes	characteristic, complemented
84	C₇×#475	C₂²	1	1	yes	characteristic, complemented
85	C₇×#474	C₂²	1	1	yes	characteristic
86	C₇×#446	C₂²	1	1	yes	characteristic, complemented
87	C₇×#440	C₂²	1	1	yes	characteristic
88	C₇×#440	C₂²	1	1	yes	characteristic
89	C₄×C₇×SD₁₆	C₂²	1	1	yes	characteristic
90	#89945	C₂²	1	1	yes	characteristic
91	#89945	C₂²	1	1	yes	characteristic
92	#89941	C₂²	1	1	yes	characteristic
93	#89934	C₂²	1	1	yes	characteristic
94	#89866	C₂²	1	1	yes	characteristic, complemented
95	#89863	C₂²	1	1	yes	characteristic, complemented
96	#89863	C₂²	1	1	yes	characteristic, complemented
97	#89863	C₂²	1	1	yes	characteristic, complemented
98	#89861	C₂²	1	1	yes	characteristic
99	#89852	C₂²	1	1	yes	characteristic, complemented
100	#89852	C₂²	1	1	yes	characteristic, complemented
101	#89850	C₂²	1	1	yes	characteristic, complemented
102	#89841	C₂²	1	1	yes	characteristic, complemented
103	#89840	C₂²	1	1	yes	characteristic
104	#89838	C₂²	1	1	yes	characteristic
105	#89835	C₂²	1	1	yes	characteristic, complemented
106	#89803	C₂²	1	1	yes	characteristic, complemented
107	#89802	C₂²	1	1	yes	characteristic, complemented
108	C₄×#1144	C₂²	1	1	yes	characteristic, complemented
109	#89800	C₂²	1	1	yes	characteristic
110	#89800	C₂²	1	1	yes	characteristic
111	#89798	C₂²	1	1	yes	characteristic
112	#89796	C₂²	1	1	yes	characteristic, complemented
113	#89790	C₂²	1	1	yes	characteristic
114	#89790	C₂²	1	1	yes	characteristic
115	C₄×#1142	C₂²	1	1	yes	characteristic
116	#89781	C₂²	1	1	yes	characteristic
117	#89781	C₂²	1	1	yes	characteristic
118	#89779	C₂²	1	1	yes	characteristic
119	#89663	C₂²	1	1	yes	characteristic
120	#89662	C₂²	1	1	yes	characteristic
121	#89660	C₂²	1	1	yes	characteristic, complemented
122	#89659	C₂²	1	1	yes	characteristic
123	#89659	C₂²	1	1	yes	characteristic
124	#89659	C₂²	1	1	yes	characteristic, complemented
125	#89658	C₂²	1	1	yes	characteristic
126	#89657	C₂²	1	1	yes	characteristic
127	#89656	C₂²	1	1	yes	characteristic
128	#89656	C₂²	1	1	yes	characteristic
129	#89656	C₂²	1	1	yes	characteristic
130	#89656	C₂²	1	1	yes	characteristic, complemented
131	#89656	C₂²	1	1	yes	characteristic, complemented
132	#89656	C₂²	1	1	yes	characteristic, complemented
133	#89654	C₂²	1	1	yes	characteristic
134	#89654	C₂²	1	1	yes	characteristic
135	#89653	C₂²	1	1	yes	characteristic, complemented
136	D₇×#107	C₂²	1	1	yes	characteristic
137	D₇×#107	C₂²	1	1	yes	characteristic, complemented
138	D₇×#107	C₂²	1	1	yes	characteristic, complemented
139	#89649	C₂²	1	1	yes	characteristic, complemented
140	#89649	C₂²	1	1	yes	characteristic, complemented
141	#89647	C₂²	1	1	yes	characteristic, complemented
142	#89647	C₂²	1	1	yes	characteristic, complemented
143	#89643	C₂²	1	1	yes	characteristic
144	#89640	C₂²	1	1	yes	characteristic, complemented
145	#89639	C₂²	1	1	yes	characteristic, complemented
146	#89638	C₂²	1	1	yes	characteristic
147	#89636	C₂²	1	1	yes	characteristic
148	#89634	C₂²	1	1	yes	characteristic
149	#89634	C₂²	1	1	yes	characteristic
150	#89634	C₂²	1	1	yes	characteristic, complemented
151	#89633	C₂²	1	1	yes	characteristic, complemented
152	D₇×#106	C₂²	1	1	yes	characteristic
153	#89629	C₂²	1	1	yes	characteristic, complemented
154	#89629	C₂²	1	1	yes	characteristic, complemented
155	#89622	C₂²	1	1	yes	characteristic, complemented
156	#89621	C₂²	1	1	yes	characteristic, complemented
157	#89619	C₂²	1	1	yes	characteristic
158	#89617	C₂²	1	1	yes	characteristic
159	#89617	C₂²	1	1	yes	characteristic
160	#89611	C₂²	1	1	yes	characteristic, complemented
161	#89611	C₂²	1	1	yes	characteristic, complemented
162	#89608	C₂²	1	1	yes	characteristic
163	#89608	C₂²	1	1	yes	characteristic, complemented
164	#89606	C₂²	1	1	yes	characteristic
165	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic
166	#89601	C₂²	1	1	yes	characteristic, complemented
167	#89590	C₂²	1	1	yes	characteristic
168	#89588	C₂²	1	1	yes	characteristic, complemented
169	#89585	C₂²	1	1	yes	characteristic
170	#89585	C₂²	1	1	yes	characteristic
171	#89585	C₂²	1	1	yes	characteristic, complemented
172	#89584	C₂²	1	1	yes	characteristic
173	#89581	C₂²	1	1	yes	characteristic
174	#89581	C₂²	1	1	yes	characteristic, complemented
175	#89579	C₂²	1	1	yes	characteristic
176	#89577	C₂²	1	1	yes	characteristic, complemented
177	#89565	C₂²	1	1	yes	characteristic, complemented
178	#89565	C₂²	1	1	yes	characteristic, complemented
179	#89555	C₂²	1	1	yes	characteristic
180	#89555	C₂²	1	1	yes	characteristic
181	#89548	C₂²	1	1	yes	characteristic
182	#89544	C₂²	1	1	yes	characteristic
183	#89544	C₂²	1	1	yes	characteristic
184	#89543	C₂²	1	1	yes	characteristic
185	#89543	C₂²	1	1	yes	characteristic
186	D₇×#102	C₂²	1	1	yes	characteristic
187	D₇×#102	C₂²	1	1	yes	characteristic
188	#89538	C₂²	1	1	yes	characteristic
189	#89535	C₂²	1	1	yes	characteristic
190	#89531	C₂²	1	1	yes	characteristic
191	#89488	C₂²	1	1	yes	characteristic, complemented
192	#89486	C₂²	1	1	yes	characteristic
193	#89482	C₂²	1	1	yes	characteristic
194	#89481	C₂²	1	1	yes	characteristic, complemented
195	#89478	C₂²	1	1	yes	characteristic
196	#89478	C₂²	1	1	yes	characteristic, complemented
197	#89477	C₂²	1	1	yes	characteristic
198	#89475	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₈	C₂²	1	1	yes	characteristic, complemented
200	#89469	C₂²	1	1	yes	characteristic
201	#89462	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₈	C₂²	1	1	yes	characteristic
203	#62165	—	7	1	no	maximal, Sylow
204	C₂²×C₇×Q₈	—	2	1	no	—
205	C₂×#1161	—	2	1	no	—
206	C₂×#1159	C₂³	1	1	yes	characteristic
207	C₂×#1159	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₇	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₇	—	2	1	no	—
210	C₂×C₇×SD₁₆	C₂³	1	1	yes	characteristic
211	C₇×C₄⋊Q₈	—	2	1	no	—
212	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₇×#125	—	2	1	no	—
217	C₇×#125	—	2	1	no	—
218	C₇×#125	C₂³	1	1	yes	characteristic
219	C₇×#125	C₂³	1	1	yes	characteristic
220	C₇×C₂²⋊Q₈	—	2	1	no	—
221	C₇×C₂²⋊Q₈	—	2	1	no	—
222	C₇×C₂²⋊Q₈	—	2	1	no	—
223	C₄×C₇×Q₈	—	2	1	no	—
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
231	#6510	—	2	1	no	—
232	#6510	—	2	1	no	—
233	#6510	D₄	1	1	yes	characteristic
234	#6509	—	2	1	no	—
235	#6509	—	2	1	no	—
236	#6509	—	2	1	no	—
237	#6509	—	2	1	no	—
238	#6509	—	2	1	no	—
239	#6509	—	2	1	no	—
240	#6509	—	2	1	no	—
241	#6509	—	2	1	no	—
242	#6509	—	2	1	no	—
243	#6509	—	2	1	no	—
244	#6509	—	2	1	no	—
245	#6509	—	2	1	no	—
246	#6509	D₄	1	1	yes	characteristic
247	#6509	C₂³	1	1	yes	characteristic
248	#6509	C₂³	1	1	yes	characteristic
249	#6509	C₂³	1	1	yes	characteristic
250	Q₈×Dic₇	—	2	1	no	—
251	#6507	—	2	1	no	—
252	#6507	—	2	1	no	—
253	#6507	C₂³	1	1	yes	characteristic
254	C₂×#1144	C₂³	1	1	yes	characteristic
255	C₂×#1144	C₂³	1	1	yes	characteristic
256	C₂×#1143	C₂³	1	1	yes	characteristic
257	D₄×Dic₇	C₂³	1	1	yes	characteristic
258	C₂×#1142	C₂³	1	1	yes	characteristic
259	#6493	—	2	1	no	—
260	#6493	—	2	1	no	—
261	#6493	—	2	1	no	—
262	C₄×C₂²⋊D₇	—	2	1	no	—
263	C₄×C₂²⋊D₇	—	2	1	no	—
264	C₄×C₂²⋊D₇	—	2	1	no	—
265	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
266	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
267	C₂×C₄⋊Dic₇	—	2	1	no	—
268	C₂×Dic₇⋊C₄	—	2	1	no	—
269	C₂×Dic₇⋊C₄	—	2	1	no	—
270	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
271	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
272	C₂×#1132	C₂³	1	1	yes	characteristic
273	C₂×#1131	C₂³	1	1	yes	characteristic
274	C₂×#1131	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
276	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
277	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
278	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
279	#6461	—	2	1	no	—
280	#6461	—	2	1	no	—
281	#6461	—	2	1	no	—
282	#6461	—	2	1	no	—
283	#6461	—	2	1	no	—
284	#6461	—	2	1	no	—
285	#6461	—	2	1	no	—
286	#6461	—	2	1	no	—
287	#6461	D₄	1	1	yes	characteristic
288	#6461	D₄	1	1	yes	characteristic
289	#6460	—	2	1	no	—
290	#6460	C₂³	1	1	yes	characteristic
291	#6460	C₂³	1	1	yes	characteristic
292	#6460	C₂³	1	1	yes	characteristic
293	#6460	C₂³	1	1	yes	characteristic
294	#6460	C₂³	1	1	yes	characteristic
295	#6460	C₂³	1	1	yes	characteristic
296	#6460	C₂³	1	1	yes	characteristic
297	#6459	—	2	1	no	—
298	#6459	—	2	1	no	—
299	#6459	—	2	1	no	—
300	#6459	—	2	1	no	—
301	#6459	—	2	1	no	—
302	#6458	D₄	1	1	yes	characteristic
303	#6458	C₂³	1	1	yes	characteristic
304	#6458	C₂³	1	1	yes	characteristic
305	#6457	—	2	1	no	—
306	#6457	—	2	1	no	—
307	#6457	—	2	1	no	—
308	#6457	—	2	1	no	—
309	#6457	—	2	1	no	—
310	#6457	—	2	1	no	—
311	#6457	—	2	1	no	—
312	#6457	—	2	1	no	—
313	#6457	D₄	1	1	yes	characteristic
314	#6457	D₄	1	1	yes	characteristic
315	#6456	—	2	1	no	—
316	#6456	—	2	1	no	—
317	#6456	—	2	1	no	—
318	#6456	C₂³	1	1	yes	characteristic
319	#6455	—	2	1	no	—
320	#6455	—	2	1	no	—
321	#6455	—	2	1	no	—
322	#6455	—	2	1	no	—
323	#6455	C₂³	1	1	yes	characteristic
324	#6455	C₂³	1	1	yes	characteristic
325	D₇×C₄⋊C₄	—	2	1	no	—
326	D₇×C₄⋊C₄	—	2	1	no	—
327	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	#6453	—	2	1	no	—
335	#6453	—	2	1	no	—
336	#6453	—	2	1	no	—
337	#6453	—	2	1	no	—
338	#6453	—	2	1	no	—
339	#6453	—	2	1	no	—
340	#6453	D₄	1	1	yes	characteristic
341	#6453	C₂³	1	1	yes	characteristic
342	#6453	C₂³	1	1	yes	characteristic
343	#6452	—	2	1	no	—
344	#6452	—	2	1	no	—
345	#6452	—	2	1	no	—
346	#6452	—	2	1	no	—
347	#6452	—	2	1	no	—
348	#6452	—	2	1	no	—
349	#6452	—	2	1	no	—
350	#6452	—	2	1	no	—
351	#6452	—	2	1	no	—
352	#6452	—	2	1	no	—
353	#6452	—	2	1	no	—
354	#6451	—	2	1	no	—
355	#6451	C₂³	1	1	yes	characteristic
356	#6450	—	2	1	no	—
357	#6450	C₂³	1	1	yes	characteristic
358	#6450	C₂³	1	1	yes	characteristic
359	#6449	—	2	1	no	—
360	#6449	—	2	1	no	—
361	#6449	—	2	1	no	—
362	#6449	—	2	1	no	—
363	#6445	—	2	1	no	—
364	#6445	—	2	1	no	—
365	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
366	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
367	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
368	D₇×C₂²⋊C₄	—	2	1	no	—
369	#6440	—	2	1	no	—
370	#6440	—	2	1	no	—
371	#6439	—	2	1	no	—
372	#6439	—	2	1	no	—
373	#6439	—	2	1	no	—
374	#6439	—	2	1	no	—
375	#6438	C₂³	1	1	yes	characteristic
376	#6438	C₂³	1	1	yes	characteristic
377	C₄×D₂₈	—	2	1	no	—
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	C₄×D₂₈	C₂³	1	1	yes	characteristic
380	C₄×D₂₈	C₂³	1	1	yes	characteristic
381	C₄×D₂₈	C₂³	1	1	yes	characteristic
382	#6435	—	2	1	no	—
383	#6435	—	2	1	no	—
384	#6435	—	2	1	no	—
385	#6435	C₂³	1	1	yes	characteristic
386	#6435	C₂³	1	1	yes	characteristic
387	C₄²×D₇	C₂³	1	1	yes	characteristic
388	#6433	—	2	1	no	—
389	#6433	—	2	1	no	—
390	#6433	—	2	1	no	—
391	#6433	C₂³	1	1	yes	characteristic
392	#6433	C₂³	1	1	yes	characteristic
393	#6432	C₂³	1	1	yes	characteristic
394	#6432	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₄	—	2	1	no	—
396	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
397	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
401	C₇×#107	C₂³	1	1	yes	characteristic
402	C₇×#107	C₂³	1	1	yes	characteristic
403	C₇×#107	C₂³	1	1	yes	characteristic
404	C₇×#107	C₂³	1	1	yes	characteristic
405	C₇×#107	C₂³	1	1	yes	characteristic
406	C₇×#107	C₂³	1	1	yes	characteristic
407	C₇×#106	C₂³	1	1	yes	characteristic
408	C₇×#106	C₂³	1	1	yes	characteristic
409	C₇×#106	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×C₄⋊C₈	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×#97	C₂³	1	1	yes	characteristic
420	C₇×#97	C₂³	1	1	yes	characteristic
421	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
422	#6409	C₂³	1	1	yes	characteristic
423	#6406	C₂³	1	1	yes	characteristic
424	#6406	C₂³	1	1	yes	characteristic
425	#6406	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	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
430	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
431	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
432	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
433	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
434	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
435	#6392	C₂³	1	1	yes	characteristic
436	#6392	C₂³	1	1	yes	characteristic
437	#6391	C₂³	1	1	yes	characteristic
438	#6390	C₂³	1	1	yes	characteristic
439	#6390	C₂³	1	1	yes	characteristic
440	#6390	C₂³	1	1	yes	characteristic
441	#6390	C₂³	1	1	yes	characteristic
442	#6390	C₂³	1	1	yes	characteristic
443	#6390	C₂³	1	1	yes	characteristic
444	#6390	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	#6384	C₂³	1	1	yes	characteristic
450	#6384	C₂³	1	1	yes	characteristic
451	#6384	C₂³	1	1	yes	characteristic
452	#6384	C₂³	1	1	yes	characteristic
453	#6384	C₂³	1	1	yes	characteristic
454	#6384	C₂³	1	1	yes	characteristic
455	#6384	C₂³	1	1	yes	characteristic
456	#6384	C₂³	1	1	yes	characteristic
457	#6384	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	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	#6381	C₂³	1	1	yes	characteristic
466	#6381	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	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
474	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
475	C₄⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
476	#6377	C₂³	1	1	yes	characteristic
477	#6377	C₂³	1	1	yes	characteristic
478	C₄×C₇⋊C₈	C₂³	1	1	yes	characteristic
479	#3563	—	7	1	no	—
480	#3520	—	7	1	no	—
481	#3386	—	7	1	no	—
482	#3386	D₇	1	1	yes	characteristic, complemented
483	#3377	—	7	1	no	—
484	#3377	—	7	1	no	—
485	#3344	—	7	1	no	—
486	#3344	—	7	1	no	—
487	#3343	—	7	1	no	—
488	#3343	—	7	1	no	—
489	#3338	—	7	1	no	—
490	#3338	—	7	1	no	—
491	#3315	—	7	1	no	—
492	#3315	—	7	1	no	—
493	#3314	—	7	1	no	—
494	#3314	—	7	1	no	—
495	#3296	—	7	1	no	—
496	#3296	—	7	1	no	—
497	#3258	—	7	1	no	—
498	#3258	—	7	1	no	—
499	#3249	—	7	1	no	—
500	#3243	—	7	1	no	—
501	#3243	—	7	1	no	—
502	#3236	—	7	1	no	—
503	#3120	—	7	1	no	—
504	#3120	—	7	1	no	—
505	#3110	—	7	1	no	—
506	#3083	—	7	1	no	—
507	#3083	—	7	1	no	—
508	C₂×#478	—	7	1	no	—
509	#2992	—	7	1	no	—
510	C₂³×D₇	—	2	1	no	—
511	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	—	2	1	no	—
514	C₂×C₇×Q₈	—	2	1	no	—
515	C₂×C₇×Q₈	—	8	2	no	—
516	C₂×C₇×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₇	—	2	1	no	—
520	C₂²×C₄×C₇	—	2	1	no	—
521	C₂²×C₄×C₇	—	2	1	no	—
522	C₂×C₂²⋊D₇	—	2	1	no	—
523	C₂×C₂²⋊D₇	—	2	1	no	—
524	C₂×C₂²⋊D₇	—	2	1	no	—
525	C₂²×Dic₇	—	2	1	no	—
526	C₂²×Dic₇	—	2	1	no	—
527	C₂²×Dic₇	—	2	1	no	—
528	#1161	—	8	2	no	—
529	#1159	—	2	2	no	—
530	#1159	—	2	2	no	—
531	#1159	—	4	1	no	—
532	#1159	—	4	1	no	—
533	D₄×D₇	—	2	2	no	—
534	D₄×D₇	—	4	1	no	—
535	C₂×D₂₈	—	2	1	no	—
536	C₂×D₂₈	—	2	1	no	—
537	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
538	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
539	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
540	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
541	C₂×C₄×D₇	—	2	1	no	—
542	C₂×C₄×D₇	—	2	1	no	—
543	C₂×C₄×D₇	—	2	1	no	—
544	C₂×C₄×D₇	—	2	1	no	—
545	C₂×C₄×D₇	—	2	1	no	—
546	C₂×C₄×D₇	—	2	1	no	—
547	C₂×C₄×D₇	—	2	1	no	—
548	C₂×C₄×D₇	—	2	1	no	—
549	C₂×C₄×D₇	—	2	1	no	—
550	C₂×C₄×D₇	—	8	2	no	—
551	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
556	C₂×Dic₁₄	—	2	1	no	—
557	C₂×Dic₁₄	—	2	1	no	—
558	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
559	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
560	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
561	C₇×SD₁₆	—	2	2	no	—
562	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
563	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₇	—	2	1	no	—
590	C₄²×C₇	—	2	1	no	—
591	C₄²×C₇	—	2	1	no	—
592	C₄²×C₇	C₂⁴	1	1	yes	characteristic
593	C₄²×C₇	C₂⁴	1	1	yes	characteristic
594	C₄²×C₇	C₂⁴	1	1	yes	characteristic
595	C₂²⋊Dic₇	—	2	1	no	—
596	#1144	—	4	1	no	—
597	#1144	—	4	1	no	—
598	#1143	—	4	1	no	—
599	#1142	—	2	2	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	C₂×D₄	1	1	yes	characteristic
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	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
626	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
627	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
628	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
629	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	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	—	2	1	no	—
672	Dic₇⋊C₄	—	2	1	no	—
673	Dic₇⋊C₄	—	2	1	no	—
674	Dic₇⋊C₄	—	2	1	no	—
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	C₄×Dic₇	—	2	1	no	—
680	C₄×Dic₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
691	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
693	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
694	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
695	Dic₂₈	—	4	1	no	—
696	Dic₂₈	—	4	1	no	—
697	#1132	—	4	1	no	—
698	#1131	—	4	1	no	—
699	#1131	—	4	1	no	—
700	C₈×D₇	—	4	1	no	—
701	C₈×D₇	—	4	1	no	—
702	C₈×D₇	—	4	1	no	—
703	C₈×D₇	—	4	1	no	—
704	#564	—	14	1	no	—
705	#563	—	14	1	no	—
706	#557	—	7	1	no	—
707	#557	C₂×D₇	1	1	yes	characteristic, complemented
708	#556	—	7	1	no	—
709	#554	—	7	1	no	—
710	#554	—	7	1	no	—
711	#554	—	7	1	no	—
712	#554	—	7	1	no	—
713	#552	—	7	1	no	—
714	#552	—	7	1	no	—
715	#552	—	7	1	no	—
716	#552	—	7	1	no	—
717	#552	—	14	1	no	—
718	#552	—	14	1	no	—
719	#552	—	14	1	no	—
720	#551	—	14	1	no	—
721	#551	—	14	1	no	—
722	D₄×Q₈	C₂×D₇	1	1	yes	characteristic
723	#548	—	14	1	no	—
724	#547	—	7	1	no	—
725	#547	—	7	1	no	—
726	#546	—	7	1	no	—
727	#546	—	7	1	no	—
728	#544	—	7	1	no	—
729	#544	—	7	1	no	—
730	#544	—	14	1	no	—
731	#542	—	7	1	no	—
732	#542	—	7	1	no	—
733	#541	—	7	1	no	—
734	#541	—	7	1	no	—
735	#541	—	14	1	no	—
736	#541	—	14	1	no	—
737	#539	—	14	1	no	—
738	#539	—	14	1	no	—
739	#539	—	14	1	no	—
740	#533	—	7	1	no	—
741	#533	—	7	1	no	—
742	#529	—	7	1	no	—
743	C₂×#125	—	7	1	no	—
744	#525	—	14	1	no	—
745	C₂×C₂²⋊Q₈	—	14	1	no	—
746	#520	—	7	1	no	—
747	#520	—	7	1	no	—
748	C₂×C₄×D₄	—	7	1	no	—
749	#501	—	7	1	no	—
750	#501	—	7	1	no	—
751	#501	C₂×D₇	1	1	yes	characteristic, complemented
752	#501	C₂×D₇	1	1	yes	characteristic, complemented
753	#500	—	7	1	no	—
754	#500	C₂×D₇	1	1	yes	characteristic, complemented
755	#491	—	7	1	no	—
756	#491	—	7	1	no	—
757	#489	—	7	1	no	—
758	#489	—	7	1	no	—
759	#488	—	7	1	no	—
760	#488	—	7	1	no	—
761	#485	—	7	1	no	—
762	#485	—	7	1	no	—
763	#484	—	7	1	no	—
764	#484	—	7	1	no	—
765	#484	—	7	1	no	—
766	#484	—	7	1	no	—
767	#484	—	7	1	no	—
768	#484	—	7	1	no	—
769	#484	—	7	1	no	—
770	#484	—	7	1	no	—
771	#483	—	7	1	no	—
772	#483	—	7	1	no	—
773	#483	—	7	1	no	—
774	#483	—	7	1	no	—
775	#482	—	7	1	no	—
776	#482	—	7	1	no	—
777	#480	—	7	1	no	—
778	#480	—	7	1	no	—
779	#479	—	7	1	no	—
780	#479	—	7	1	no	—
781	#479	—	7	1	no	—
782	#479	—	7	1	no	—
783	#479	—	7	1	no	—
784	#479	—	7	1	no	—
785	#478	—	7	1	no	—
786	#478	—	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	C₂×D₇	1	1	yes	characteristic
794	#478	C₂×D₇	1	1	yes	characteristic
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	—	7	1	no	—
798	#477	—	7	1	no	—
799	#477	—	7	1	no	—
800	#477	—	7	1	no	—
801	#477	C₂×D₇	1	1	yes	characteristic, complemented
802	#477	C₂×D₇	1	1	yes	characteristic, complemented
803	#475	—	7	1	no	—
804	#475	C₂×D₇	1	1	yes	characteristic, complemented
805	#474	—	7	1	no	—
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#474	C₂×D₇	1	1	yes	characteristic
809	#470	—	7	1	no	—
810	#470	—	7	1	no	—
811	#468	—	7	1	no	—
812	#468	—	7	1	no	—
813	#467	—	7	1	no	—
814	#467	—	7	1	no	—
815	#467	—	7	1	no	—
816	#467	—	7	1	no	—
817	#467	—	7	1	no	—
818	#467	—	7	1	no	—
819	#465	—	7	1	no	—
820	#465	—	7	1	no	—
821	#464	—	7	1	no	—
822	#464	—	7	1	no	—
823	#464	—	7	1	no	—
824	#464	—	7	1	no	—
825	#462	—	7	1	no	—
826	#462	—	7	1	no	—
827	#462	—	7	1	no	—
828	#462	—	7	1	no	—
829	#461	—	7	1	no	—
830	#461	—	7	1	no	—
831	#452	—	7	1	no	—
832	#452	—	7	1	no	—
833	#452	—	7	1	no	—
834	#452	—	7	1	no	—
835	#450	—	7	1	no	—
836	#450	—	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	#440	—	7	1	no	—
842	#440	—	7	1	no	—
843	#440	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	C₂×D₇	1	1	yes	characteristic
846	#440	C₂×D₇	1	1	yes	characteristic
847	C₄×Q₁₆	—	7	1	no	—
848	C₄×Q₁₆	—	7	1	no	—
849	C₄×SD₁₆	—	7	1	no	—
850	C₄×SD₁₆	C₂×D₇	1	1	yes	characteristic
851	#435	—	7	1	no	—
852	#435	—	7	1	no	—
853	#435	—	7	1	no	—
854	#435	—	7	1	no	—
855	C₈×D₄	—	7	1	no	—
856	C₈×D₄	—	7	1	no	—
857	#433	—	7	1	no	—
858	#433	—	7	1	no	—
859	#432	—	7	1	no	—
860	#428	—	7	1	no	—
861	#428	—	7	1	no	—
862	C₂×#107	—	7	1	no	—
863	C₂×#107	—	7	1	no	—
864	C₂×#107	—	7	1	no	—
865	C₂×#106	—	7	1	no	—
866	#424	—	7	1	no	—
867	#424	—	7	1	no	—
868	C₂×C₄⋊C₈	—	7	1	no	—
869	#417	—	7	1	no	—
870	#417	—	7	1	no	—
871	#416	—	7	1	no	—
872	#416	—	7	1	no	—
873	C₂×#102	—	7	1	no	—
874	C₂×#102	—	7	1	no	—
875	C₂³×C₇	—	2	1	no	—
876	C₂²×D₇	—	2	1	no	—
877	C₂²×D₇	—	4	2	no	—
878	C₂²×D₇	—	4	2	no	—
879	C₂²×D₇	—	8	1	no	—
880	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
881	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
882	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
883	C₇×Q₈	—	2	1	no	—
884	C₇×Q₈	—	2	1	no	—
885	C₇×Q₈	—	4	1	no	—
886	C₇×Q₈	—	4	2	no	—
887	C₇×Q₈	—	8	1	no	—
888	C₇×Q₈	—	8	1	no	—
889	C₇×Q₈	—	8	1	no	—
890	C₇×D₄	—	2	1	no	—
891	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
892	C₂×C₄×C₇	—	2	1	no	—
893	C₂×C₄×C₇	—	2	1	no	—
894	C₂×C₄×C₇	—	2	1	no	—
895	C₂×C₄×C₇	—	2	1	no	—
896	C₂×C₄×C₇	—	2	1	no	—
897	C₂×C₄×C₇	—	2	1	no	—
898	C₂×C₄×C₇	—	2	1	no	—
899	C₂×C₄×C₇	—	4	2	no	—
900	C₂×C₄×C₇	—	8	1	no	—
901	C₂×C₄×C₇	—	8	1	no	—
902	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
904	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
905	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
906	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
907	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
909	C₂²⋊D₇	—	4	2	no	—
910	C₂²⋊D₇	—	4	2	no	—
911	C₂²⋊D₇	—	4	2	no	—
912	C₂×Dic₇	—	2	1	no	—
913	C₂×Dic₇	—	2	1	no	—
914	C₂×Dic₇	—	2	1	no	—
915	C₂×Dic₇	—	2	1	no	—
916	C₂×Dic₇	—	2	1	no	—
917	C₂×Dic₇	—	2	1	no	—
918	C₂×Dic₇	—	2	1	no	—
919	C₂×Dic₇	—	4	2	no	—
920	C₂×Dic₇	—	4	2	no	—
921	C₂×Dic₇	—	8	1	no	—
922	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
923	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
924	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
925	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
926	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
927	D₂₈	—	2	2	no	—
928	D₂₈	—	2	2	no	—
929	D₂₈	—	2	1	no	—
930	D₂₈	—	2	1	no	—
931	D₂₈	—	4	1	no	—
932	D₂₈	—	8	1	no	—
933	D₂₈	—	8	1	no	—
934	C₄×D₇	—	2	2	no	—
935	C₄×D₇	—	2	1	no	—
936	C₄×D₇	—	2	1	no	—
937	C₄×D₇	—	2	1	no	—
938	C₄×D₇	—	2	1	no	—
939	C₄×D₇	—	2	1	no	—
940	C₄×D₇	—	2	1	no	—
941	C₄×D₇	—	4	1	no	—
942	C₄×D₇	—	4	2	no	—
943	C₄×D₇	—	4	2	no	—
944	C₄×D₇	—	8	1	no	—
945	C₄×D₇	—	8	1	no	—
946	C₄×D₇	—	8	1	no	—
947	C₄×D₇	—	8	1	no	—
948	C₄×D₇	—	8	1	no	—
949	C₄×D₇	—	8	1	no	—
950	C₄×D₇	—	8	1	no	—
951	Dic₁₄	—	2	1	no	—
952	Dic₁₄	—	2	1	no	—
953	Dic₁₄	—	2	1	no	—
954	Dic₁₄	—	2	1	no	—
955	Dic₁₄	—	2	1	no	—
956	Dic₁₄	—	2	1	no	—
957	Dic₁₄	—	8	1	no	—
958	Dic₁₄	—	8	1	no	—
959	C₇×C₈	—	2	1	no	—
960	C₇×C₈	—	2	1	no	—
961	C₇×C₈	—	2	1	no	—
962	C₇×C₈	—	2	1	no	—
963	C₇⋊C₈	—	2	1	no	—
964	C₇⋊C₈	—	2	1	no	—
965	C₇⋊C₈	—	2	1	no	—
966	C₇⋊C₈	—	2	1	no	—
967	C₂×#41	—	7	1	no	—
968	C₂×#41	—	7	1	no	—
969	C₂×#41	—	14	1	no	—
970	C₂²×Q₈	—	2	1	no	—
971	C₂²×D₄	—	7	1	no	—
972	C₂³×C₄	—	14	1	no	—
973	C₂×Q₁₆	—	7	1	no	—
974	C₂×Q₁₆	—	7	1	no	—
975	C₂×Q₁₆	—	7	1	no	—
976	C₂×Q₁₆	—	7	1	no	—
977	C₂×SD₁₆	—	7	1	no	—
978	C₂×SD₁₆	—	7	1	no	—
979	C₂×SD₁₆	—	7	1	no	—
980	C₂×SD₁₆	C₂²×D₇	1	1	yes	characteristic
981	C₂×M₁₆	—	7	1	no	—
982	C₂×M₁₆	—	7	1	no	—
983	C₂²×C₈	—	7	1	no	—
984	C₂²×C₈	—	7	1	no	—
985	C₂²×C₈	—	7	1	no	—
986	C₂²×C₈	—	7	1	no	—
987	C₄⋊Q₈	—	2	1	no	—
988	C₄⋊Q₈	—	7	1	no	—
989	C₄⋊Q₈	—	7	1	no	—
990	C₄⋊Q₈	—	7	1	no	—
991	C₄⋊Q₈	—	7	1	no	—
992	C₄⋊Q₈	—	14	1	no	—
993	C₄⋊Q₈	—	14	1	no	—
994	C₄⋊Q₈	—	14	1	no	—
995	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
996	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
997	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
998	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
999	#126	—	7	1	no	—
1000	#126	—	7	1	no	—
1001	#126	—	14	1	no	—
1002	#126	—	14	1	no	—
1003	#126	—	14	1	no	—
1004	#126	—	14	1	no	—
1005	#126	—	14	1	no	—
1006	#126	—	14	1	no	—
1007	#126	—	14	1	no	—
1008	#126	—	14	1	no	—
1009	#126	—	14	1	no	—
1010	#126	—	14	1	no	—
1011	#126	—	14	1	no	—
1012	#126	—	14	1	no	—
1013	#125	—	2	1	no	—
1014	#125	—	2	1	no	—
1015	#125	—	7	1	no	—
1016	#125	—	7	1	no	—
1017	#125	—	7	1	no	—
1018	#125	—	7	1	no	—
1019	#125	—	7	1	no	—
1020	#125	—	14	1	no	—
1021	#125	—	14	1	no	—
1022	#125	—	14	1	no	—
1023	#125	—	14	1	no	—
1024	#125	—	14	1	no	—
1025	#125	—	14	1	no	—
1026	#125	—	14	1	no	—
1027	#125	—	14	1	no	—
1028	#125	—	14	1	no	—
1029	#125	—	14	1	no	—
1030	#125	—	14	1	no	—
1031	#125	—	14	1	no	—
1032	#125	—	14	1	no	—
1033	#125	—	14	1	no	—
1034	#125	—	14	1	no	—
1035	#125	—	14	1	no	—
1036	#125	—	14	1	no	—
1037	#125	—	14	1	no	—
1038	#125	—	14	1	no	—
1039	#125	—	14	1	no	—
1040	#125	C₂²×D₇	1	1	yes	characteristic
1041	#125	C₂²×D₇	1	1	yes	characteristic
1042	#124	—	7	1	no	—
1043	#124	—	7	1	no	—
1044	#124	—	7	1	no	—
1045	#124	—	14	1	no	—
1046	#124	—	14	1	no	—
1047	#123	—	7	1	no	—
1048	#123	—	7	1	no	—
1049	#123	—	14	1	no	—
1050	#123	—	14	1	no	—
1051	#123	—	14	1	no	—
1052	#123	—	14	1	no	—
1053	#123	—	14	1	no	—
1054	#123	—	14	1	no	—
1055	#123	—	14	1	no	—
1056	#123	—	14	1	no	—
1057	#123	—	14	1	no	—
1058	#123	—	14	1	no	—
1059	#123	—	14	1	no	—
1060	#123	—	14	1	no	—
1061	C₂²⋊Q₈	—	2	1	no	—
1062	C₂²⋊Q₈	—	2	1	no	—
1063	C₂²⋊Q₈	—	2	1	no	—
1064	C₂²⋊Q₈	—	7	1	no	—
1065	C₂²⋊Q₈	—	7	1	no	—
1066	C₂²⋊Q₈	—	7	1	no	—
1067	C₂²⋊Q₈	—	7	1	no	—
1068	C₂²⋊Q₈	—	7	1	no	—
1069	C₂²⋊Q₈	—	7	1	no	—
1070	C₂²⋊Q₈	—	7	1	no	—
1071	C₂²⋊Q₈	—	7	1	no	—
1072	C₂²⋊Q₈	—	7	1	no	—
1073	C₂²⋊Q₈	—	7	1	no	—
1074	C₂²⋊Q₈	—	7	1	no	—
1075	C₂²⋊Q₈	—	14	1	no	—
1076	C₂²⋊Q₈	—	14	1	no	—
1077	C₂²⋊Q₈	—	14	1	no	—
1078	C₂²⋊Q₈	—	14	1	no	—
1079	C₂²⋊Q₈	—	14	1	no	—
1080	C₂²⋊Q₈	—	14	1	no	—
1081	C₂²⋊Q₈	—	14	1	no	—
1082	C₂²⋊Q₈	—	14	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	C₂²⋊Q₈	—	14	1	no	—
1092	C₂²⋊Q₈	—	14	1	no	—
1093	#121	—	7	1	no	—
1094	#121	—	7	1	no	—
1095	#121	—	7	1	no	—
1096	#121	—	14	1	no	—
1097	#121	—	14	1	no	—
1098	#121	—	14	1	no	—
1099	#120	—	14	1	no	—
1100	#120	—	14	1	no	—
1101	C₄×Q₈	—	2	1	no	—
1102	C₄×Q₈	—	7	1	no	—
1103	C₄×Q₈	—	7	1	no	—
1104	C₄×Q₈	—	7	1	no	—
1105	C₄×Q₈	—	7	1	no	—
1106	C₄×Q₈	—	7	1	no	—
1107	C₄×Q₈	—	7	1	no	—
1108	C₄×Q₈	—	7	1	no	—
1109	C₄×Q₈	—	14	1	no	—
1110	C₄×Q₈	—	14	1	no	—
1111	C₄×Q₈	—	14	1	no	—
1112	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1113	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1114	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1115	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1116	C₄×D₄	—	7	1	no	—
1117	C₄×D₄	—	7	1	no	—
1118	C₄×D₄	—	7	1	no	—
1119	C₄×D₄	—	7	1	no	—
1120	C₄×D₄	—	7	1	no	—
1121	C₄×D₄	—	7	1	no	—
1122	C₄×D₄	—	14	1	no	—
1123	C₄×D₄	—	14	1	no	—
1124	C₄×D₄	—	14	1	no	—
1125	C₄×D₄	—	14	1	no	—
1126	C₄×D₄	—	14	1	no	—
1127	C₄×D₄	—	14	1	no	—
1128	C₄×D₄	—	14	1	no	—
1129	C₄×D₄	—	14	1	no	—
1130	C₄×D₄	—	14	1	no	—
1131	C₄×D₄	—	14	1	no	—
1132	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1133	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1134	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1135	#117	—	7	1	no	—
1136	#117	—	7	1	no	—
1137	#117	—	7	1	no	—
1138	#117	—	7	1	no	—
1139	#117	—	14	1	no	—
1140	#117	—	14	1	no	—
1141	#117	—	14	1	no	—
1142	#117	—	14	1	no	—
1143	#117	—	14	1	no	—
1144	#117	—	14	1	no	—
1145	#117	—	14	1	no	—
1146	#117	—	14	1	no	—
1147	#117	—	14	1	no	—
1148	C₂×C₄⋊C₄	—	7	1	no	—
1149	C₂×C₄⋊C₄	—	7	1	no	—
1150	C₂×C₄⋊C₄	—	7	1	no	—
1151	C₂×C₄⋊C₄	—	7	1	no	—
1152	C₂×C₄⋊C₄	—	7	1	no	—
1153	C₂×C₄⋊C₄	—	7	1	no	—
1154	C₂×C₄⋊C₄	—	7	1	no	—
1155	C₂×C₄⋊C₄	—	14	1	no	—
1156	C₂×C₄⋊C₄	—	14	1	no	—
1157	C₂×C₄⋊C₄	—	14	1	no	—
1158	C₂×C₄⋊C₄	—	14	1	no	—
1159	C₂×C₄⋊C₄	—	14	1	no	—
1160	C₂×C₂²⋊C₄	—	14	1	no	—
1161	C₂×C₂²⋊C₄	—	14	1	no	—
1162	C₂×C₂²⋊C₄	—	14	1	no	—
1163	C₂×C₄²	—	7	1	no	—
1164	#107	—	7	1	no	—
1165	#107	—	7	1	no	—
1166	#107	—	7	1	no	—
1167	#107	—	7	1	no	—
1168	#107	—	7	1	no	—
1169	#107	—	7	1	no	—
1170	#107	—	7	1	no	—
1171	#107	—	7	1	no	—
1172	#107	—	7	1	no	—
1173	#107	—	7	1	no	—
1174	#107	C₂²×D₇	1	1	yes	characteristic
1175	#107	C₂²×D₇	1	1	yes	characteristic
1176	#107	C₂²×D₇	1	1	yes	characteristic
1177	#107	C₂²×D₇	1	1	yes	characteristic
1178	#107	C₂²×D₇	1	1	yes	characteristic
1179	#107	C₂²×D₇	1	1	yes	characteristic
1180	#106	—	7	1	no	—
1181	#106	—	7	1	no	—
1182	#106	—	7	1	no	—
1183	#106	—	7	1	no	—
1184	#106	—	7	1	no	—
1185	#106	C₂²×D₇	1	1	yes	characteristic
1186	#106	C₂²×D₇	1	1	yes	characteristic
1187	#106	C₂²×D₇	1	1	yes	characteristic
1188	C₄⋊C₈	—	7	1	no	—
1189	C₄⋊C₈	—	7	1	no	—
1190	C₄⋊C₈	—	7	1	no	—
1191	C₄⋊C₈	—	7	1	no	—
1192	C₄⋊C₈	—	7	1	no	—
1193	C₄⋊C₈	—	7	1	no	—
1194	C₄⋊C₈	—	7	1	no	—
1195	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1196	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1197	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1198	#103	—	7	1	no	—
1199	#103	—	7	1	no	—
1200	#103	—	7	1	no	—
1201	#103	—	7	1	no	—
1202	#103	—	7	1	no	—
1203	#103	—	7	1	no	—
1204	#103	—	7	1	no	—
1205	#103	—	7	1	no	—
1206	#103	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1216	#103	C₂²×D₇	1	1	yes	characteristic
1217	#103	C₂²×D₇	1	1	yes	characteristic
1218	#102	—	7	1	no	—
1219	#102	—	7	1	no	—
1220	#102	—	7	1	no	—
1221	#102	—	7	1	no	—
1222	#102	—	7	1	no	—
1223	#102	—	7	1	no	—
1224	#102	—	7	1	no	—
1225	#102	—	7	1	no	—
1226	#102	—	7	1	no	—
1227	#102	C₂²×D₇	1	1	yes	characteristic
1228	#102	C₂²×D₇	1	1	yes	characteristic
1229	#102	C₂²×D₇	1	1	yes	characteristic
1230	C₂²⋊C₈	—	7	1	no	—
1231	C₂²⋊C₈	—	7	1	no	—
1232	C₂²⋊C₈	—	7	1	no	—
1233	C₂²⋊C₈	—	7	1	no	—
1234	C₂²⋊C₈	—	7	1	no	—
1235	C₂²⋊C₈	—	7	1	no	—
1236	#97	—	7	1	no	—
1237	#97	—	7	1	no	—
1238	#97	C₂²×D₇	1	1	yes	characteristic
1239	#97	C₂²×D₇	1	1	yes	characteristic
1240	C₄×C₈	—	7	1	no	—
1241	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1242	C₂²×C₇	—	2	2	no	—
1243	C₂²×C₇	—	4	1	no	—
1244	C₂²×C₇	—	4	1	no	—
1245	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1246	C₂×D₇	—	2	1	no	—
1247	C₂×D₇	—	2	1	no	—
1248	C₂×D₇	—	2	1	no	—
1249	C₂×D₇	—	2	1	no	—
1250	C₂×D₇	—	2	1	no	—
1251	C₂×D₇	—	2	1	no	—
1252	C₂×D₇	—	2	1	no	—
1253	C₂×D₇	—	2	1	no	—
1254	C₂×D₇	—	4	1	no	—
1255	C₂×D₇	—	4	1	no	—
1256	C₂×D₇	—	4	1	no	—
1257	C₂×D₇	—	8	4	no	—
1258	C₂×D₇	#578	1	2	yes	—
1259	C₄×C₇	—	2	1	no	—
1260	C₄×C₇	—	2	1	no	—
1261	C₄×C₇	—	2	1	no	—
1262	C₄×C₇	—	2	1	no	—
1263	C₄×C₇	—	2	1	no	—
1264	C₄×C₇	—	2	1	no	—
1265	C₄×C₇	—	4	1	no	—
1266	C₄×C₇	—	4	1	no	—
1267	C₄×C₇	—	4	1	no	—
1268	C₄×C₇	—	4	1	no	—
1269	C₄×C₇	—	4	1	no	—
1270	C₄×C₇	—	4	1	no	—
1271	C₄×C₇	—	4	1	no	—
1272	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1273	C₄×C₇	#585	1	1	yes	characteristic
1274	Dic₇	—	2	1	no	—
1275	Dic₇	—	2	1	no	—
1276	Dic₇	—	2	1	no	—
1277	Dic₇	—	2	1	no	—
1278	Dic₇	—	2	1	no	—
1279	Dic₇	—	4	1	no	—
1280	Dic₇	—	4	1	no	—
1281	Dic₇	—	4	1	no	—
1282	Dic₇	—	4	1	no	—
1283	Dic₇	—	4	1	no	—
1284	Dic₇	—	4	1	no	—
1285	Dic₇	—	4	1	no	—
1286	C₂⁴	—	14	1	no	—
1287	#41	—	14	2	no	—
1288	#41	—	14	2	no	—
1289	#41	—	28	1	no	—
1290	#41	—	28	1	no	—
1291	#41	—	56	2	no	—
1292	C₂×Q₈	—	2	1	no	—
1293	C₂×Q₈	—	2	1	no	—
1294	C₂×Q₈	—	2	1	no	—
1295	C₂×Q₈	—	2	1	no	—
1296	C₂×Q₈	—	7	1	no	—
1297	C₂×Q₈	—	7	1	no	—
1298	C₂×Q₈	—	7	1	no	—
1299	C₂×Q₈	—	8	2	no	—
1300	C₂×Q₈	—	14	1	no	—
1301	C₂×Q₈	—	14	1	no	—
1302	C₂×Q₈	D₄×D₇	1	1	yes	characteristic
1303	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1304	C₂×D₄	—	7	1	no	—
1305	C₂×D₄	—	7	1	no	—
1306	C₂×D₄	—	7	1	no	—
1307	C₂×D₄	—	7	1	no	—
1308	C₂×D₄	—	14	1	no	—
1309	C₂×D₄	—	14	1	no	—
1310	C₂×D₄	—	14	1	no	—
1311	C₂×D₄	—	14	2	no	—
1312	C₂×D₄	—	14	1	no	—
1313	C₂×D₄	—	14	1	no	—
1314	C₂×D₄	—	28	1	no	—
1315	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	7	1	no	—
1320	C₂²×C₄	—	7	1	no	—
1321	C₂²×C₄	—	7	1	no	—
1322	C₂²×C₄	—	7	1	no	—
1323	C₂²×C₄	—	7	1	no	—
1324	C₂²×C₄	—	14	1	no	—
1325	C₂²×C₄	—	14	1	no	—
1326	C₂²×C₄	—	14	1	no	—
1327	C₂²×C₄	—	14	1	no	—
1328	C₂²×C₄	—	14	1	no	—
1329	C₂²×C₄	—	14	1	no	—
1330	C₂²×C₄	—	14	1	no	—
1331	C₂²×C₄	—	14	1	no	—
1332	C₂²×C₄	—	14	1	no	—
1333	C₂²×C₄	—	14	1	no	—
1334	C₂²×C₄	—	14	1	no	—
1335	C₂²×C₄	—	14	1	no	—
1336	C₂²×C₄	—	56	2	no	—
1337	Q₁₆	—	28	1	no	—
1338	Q₁₆	—	28	1	no	—
1339	Q₁₆	—	28	1	no	—
1340	Q₁₆	—	28	1	no	—
1341	SD₁₆	—	2	2	no	—
1342	SD₁₆	—	14	2	no	—
1343	SD₁₆	—	28	1	no	—
1344	SD₁₆	—	28	1	no	—
1345	M₁₆	—	28	1	no	—
1346	M₁₆	—	28	1	no	—
1347	C₂×C₈	—	7	1	no	—
1348	C₂×C₈	—	7	1	no	—
1349	C₂×C₈	—	7	1	no	—
1350	C₂×C₈	—	7	1	no	—
1351	C₂×C₈	—	28	1	no	—
1352	C₂×C₈	—	28	1	no	—
1353	C₂×C₈	—	28	1	no	—
1354	C₂×C₈	—	28	1	no	—
1355	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	7	1	no	—
1371	C₄⋊C₄	—	7	1	no	—
1372	C₄⋊C₄	—	7	1	no	—
1373	C₄⋊C₄	—	7	1	no	—
1374	C₄⋊C₄	—	7	1	no	—
1375	C₄⋊C₄	—	7	1	no	—
1376	C₄⋊C₄	—	7	1	no	—
1377	C₄⋊C₄	—	7	1	no	—
1378	C₄⋊C₄	—	7	1	no	—
1379	C₄⋊C₄	—	7	1	no	—
1380	C₄⋊C₄	—	7	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	—	14	1	no	—
1390	C₄⋊C₄	—	14	1	no	—
1391	C₄⋊C₄	—	14	1	no	—
1392	C₄⋊C₄	—	14	1	no	—
1393	C₄⋊C₄	—	14	1	no	—
1394	C₄⋊C₄	—	14	1	no	—
1395	C₄⋊C₄	—	14	1	no	—
1396	C₄⋊C₄	—	14	1	no	—
1397	C₄⋊C₄	—	14	1	no	—
1398	C₄⋊C₄	—	14	1	no	—
1399	C₄⋊C₄	—	14	1	no	—
1400	C₄⋊C₄	—	14	1	no	—
1401	C₄⋊C₄	—	14	1	no	—
1402	C₄⋊C₄	—	14	1	no	—
1403	C₄⋊C₄	—	14	1	no	—
1404	C₄⋊C₄	—	14	1	no	—
1405	C₄⋊C₄	—	14	1	no	—
1406	C₄⋊C₄	—	14	1	no	—
1407	C₄⋊C₄	—	14	1	no	—
1408	C₄⋊C₄	—	14	1	no	—
1409	C₄⋊C₄	—	14	1	no	—
1410	C₄⋊C₄	—	14	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	D₄×D₇	1	1	yes	characteristic
1420	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1421	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1422	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1423	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1424	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1425	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	7	1	no	—
1432	C₂²⋊C₄	—	7	1	no	—
1433	C₂²⋊C₄	—	7	1	no	—
1434	C₂²⋊C₄	—	7	1	no	—
1435	C₂²⋊C₄	—	7	1	no	—
1436	C₂²⋊C₄	—	7	1	no	—
1437	C₂²⋊C₄	—	7	1	no	—
1438	C₂²⋊C₄	—	7	1	no	—
1439	C₂²⋊C₄	—	7	1	no	—
1440	C₂²⋊C₄	—	7	1	no	—
1441	C₂²⋊C₄	—	14	1	no	—
1442	C₂²⋊C₄	—	14	1	no	—
1443	C₂²⋊C₄	—	14	1	no	—
1444	C₂²⋊C₄	—	14	1	no	—
1445	C₂²⋊C₄	—	14	1	no	—
1446	C₂²⋊C₄	—	14	1	no	—
1447	C₂²⋊C₄	—	14	1	no	—
1448	C₂²⋊C₄	—	14	1	no	—
1449	C₂²⋊C₄	—	14	1	no	—
1450	C₂²⋊C₄	—	14	1	no	—
1451	C₂²⋊C₄	—	14	1	no	—
1452	C₂²⋊C₄	—	14	1	no	—
1453	C₂²⋊C₄	—	14	1	no	—
1454	C₂²⋊C₄	—	14	1	no	—
1455	C₂²⋊C₄	—	14	1	no	—
1456	C₂²⋊C₄	—	14	1	no	—
1457	C₂²⋊C₄	—	14	1	no	—
1458	C₂²⋊C₄	—	14	1	no	—
1459	C₂²⋊C₄	—	14	1	no	—
1460	C₂²⋊C₄	—	14	1	no	—
1461	C₂²⋊C₄	—	14	1	no	—
1462	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	2	1	no	—
1465	C₄²	—	7	1	no	—
1466	C₄²	—	7	1	no	—
1467	C₄²	—	7	1	no	—
1468	C₄²	—	14	1	no	—
1469	C₄²	—	14	1	no	—
1470	C₄²	—	14	1	no	—
1471	C₄²	—	14	1	no	—
1472	C₄²	—	14	1	no	—
1473	C₄²	—	14	1	no	—
1474	C₄²	—	14	1	no	—
1475	C₄²	—	14	1	no	—
1476	C₄²	—	14	1	no	—
1477	C₄²	C₂³×D₇	1	1	yes	characteristic
1478	C₄²	C₂³×D₇	1	1	yes	characteristic
1479	C₄²	C₂³×D₇	1	1	yes	characteristic
1480	C₂×C₇	—	4	2	no	—
1481	C₂×C₇	#3489	1	1	yes	characteristic
1482	C₂×C₇	C₂×#578	1	1	yes	characteristic
1483	C₂×C₇	#3585	1	1	yes	characteristic
1484	D₇	—	2	2	no	—
1485	D₇	—	4	1	no	—
1486	D₇	—	4	1	no	—
1487	D₇	—	8	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	7	1	no	—
1490	C₂³	—	7	1	no	—
1491	C₂³	—	7	1	no	—
1492	C₂³	—	14	1	no	—
1493	C₂³	—	28	2	no	—
1494	C₂³	—	28	2	no	—
1495	C₂³	—	56	1	no	—
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	4	1	no	—
1499	Q₈	—	4	2	no	—
1500	Q₈	—	8	1	no	—
1501	Q₈	—	8	1	no	—
1502	Q₈	—	8	1	no	—
1503	Q₈	—	14	1	no	—
1504	Q₈	—	14	1	no	—
1505	Q₈	—	14	1	no	—
1506	Q₈	—	14	1	no	—
1507	Q₈	—	14	1	no	—
1508	Q₈	—	14	1	no	—
1509	Q₈	—	56	1	no	—
1510	Q₈	—	56	1	no	—
1511	D₄	—	2	1	no	—
1512	D₄	—	14	2	no	—
1513	D₄	—	14	2	no	—
1514	D₄	—	14	1	no	—
1515	D₄	—	14	1	no	—
1516	D₄	—	28	1	no	—
1517	D₄	—	28	2	no	—
1518	D₄	—	28	2	no	—
1519	D₄	—	28	2	no	—
1520	D₄	—	56	1	no	—
1521	D₄	—	56	1	no	—
1522	D₄	#6551	1	2	yes	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	4	2	no	—
1531	C₂×C₄	—	7	1	no	—
1532	C₂×C₄	—	7	1	no	—
1533	C₂×C₄	—	7	1	no	—
1534	C₂×C₄	—	7	1	no	—
1535	C₂×C₄	—	7	1	no	—
1536	C₂×C₄	—	8	1	no	—
1537	C₂×C₄	—	8	1	no	—
1538	C₂×C₄	—	14	2	no	—
1539	C₂×C₄	—	14	1	no	—
1540	C₂×C₄	—	14	1	no	—
1541	C₂×C₄	—	14	1	no	—
1542	C₂×C₄	—	14	1	no	—
1543	C₂×C₄	—	14	1	no	—
1544	C₂×C₄	—	14	1	no	—
1545	C₂×C₄	—	14	1	no	—
1546	C₂×C₄	—	14	1	no	—
1547	C₂×C₄	—	14	1	no	—
1548	C₂×C₄	—	14	1	no	—
1549	C₂×C₄	—	14	1	no	—
1550	C₂×C₄	—	14	1	no	—
1551	C₂×C₄	—	14	1	no	—
1552	C₂×C₄	—	28	1	no	—
1553	C₂×C₄	—	28	2	no	—
1554	C₂×C₄	—	28	2	no	—
1555	C₂×C₄	—	28	2	no	—
1556	C₂×C₄	—	28	2	no	—
1557	C₂×C₄	—	56	1	no	—
1558	C₂×C₄	—	56	1	no	—
1559	C₂×C₄	—	56	1	no	—
1560	C₂×C₄	—	56	1	no	—
1561	C₂×C₄	—	56	1	no	—
1562	C₂×C₄	—	56	1	no	—
1563	C₂×C₄	—	56	1	no	—
1564	C₂×C₄	—	56	1	no	—
1565	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1566	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1567	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1568	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1569	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1570	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1571	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	14	1	no	—
1577	C₈	—	14	1	no	—
1578	C₈	—	14	1	no	—
1579	C₈	—	14	1	no	—
1580	C₇	#62165	1	1	yes	characteristic, complemented, Sylow
1581	C₂²	—	2	2	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	7	2	no	—
1585	C₂²	—	14	1	no	—
1586	C₂²	—	14	1	no	—
1587	C₂²	—	14	1	no	—
1588	C₂²	—	14	1	no	—
1589	C₂²	—	14	1	no	—
1590	C₂²	—	14	1	no	—
1591	C₂²	—	14	1	no	—
1592	C₂²	—	14	1	no	—
1593	C₂²	—	28	1	no	—
1594	C₂²	—	28	1	no	—
1595	C₂²	—	28	1	no	—
1596	C₂²	—	56	4	no	—
1597	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	14	1	no	—
1612	C₄	—	14	1	no	—
1613	C₄	—	14	1	no	—
1614	C₄	—	14	1	no	—
1615	C₄	—	14	1	no	—
1616	C₄	—	28	1	no	—
1617	C₄	—	28	1	no	—
1618	C₄	—	28	1	no	—
1619	C₄	—	28	1	no	—
1620	C₄	—	28	1	no	—
1621	C₄	—	28	1	no	—
1622	C₄	—	28	1	no	—
1623	C₄	C₂×#6551	1	1	yes	characteristic
1624	C₄	#90620	1	1	yes	characteristic
1625	C₂	—	4	2	no	—
1626	C₂	—	14	2	no	—
1627	C₂	—	28	1	no	—
1628	C₂	—	28	1	no	—
1629	C₂	—	56	1	no	—
1630	C₂	#11743813	1	1	yes	characteristic
1631	C₂	#11744260	1	1	yes	characteristic
1632	C₂	D₇×#578	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×#3386	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11743819	C₂
hypercenter	#3386	D₇
hypocenter	C₇	#62165
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3386

Complements

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

N	H ≅ G/N	type
1. #11744106	C₂	semidirect
3. C₇×#3386	C₂	semidirect
4. #11741145	C₂	semidirect
5. #11741003	C₂	semidirect
6. #11739436	C₂	semidirect
7. #11739435	C₂	semidirect
8. #11739433	C₂	semidirect
9. #11739425	C₂	semidirect
10. #11739392	C₂	semidirect
11. #11739390	C₂	semidirect
12. #11738635	C₂	semidirect
13. #11738631	C₂	semidirect
14. #11738615	C₂	semidirect
15. D₇×#478	C₂	semidirect
16. #11738572	C₂	semidirect
17. #11738570	C₂	semidirect
18. #11738563	C₂	semidirect
19. #11738544	C₂	semidirect
20. #11738475	C₂	semidirect
21. #11738448	C₂	semidirect
22. #11738427	C₂	semidirect
23. #11738413	C₂	semidirect
24. #11737430	C₂	semidirect
25. #11737391	C₂	semidirect
26. #11737248	C₂	semidirect
27. #11737247	C₂	semidirect
28. #11737231	C₂	semidirect
29. #11737224	C₂	semidirect
30. #11737122	C₂	semidirect
31. #11737102	C₂	semidirect
32. C₇×#557	C₂²	semidirect
43. #90420	C₂²	semidirect
48. #90385	C₂²	semidirect
51. #90380	C₂²	semidirect
62. #90274	C₂²	semidirect
63. #90274	C₂²	semidirect
66. #90272	C₂²	semidirect
70. #90258	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#501	C₂²	semidirect
79. C₇×#500	C₂²	semidirect
82. C₇×#477	C₂²	semidirect
83. C₇×#477	C₂²	semidirect
84. C₇×#475	C₂²	semidirect
86. C₇×#446	C₂²	semidirect
94. #89866	C₂²	semidirect
95. #89863	C₂²	semidirect
96. #89863	C₂²	semidirect
97. #89863	C₂²	semidirect
99. #89852	C₂²	semidirect
100. #89852	C₂²	semidirect
101. #89850	C₂²	semidirect
102. #89841	C₂²	semidirect
105. #89835	C₂²	semidirect
106. #89803	C₂²	semidirect
107. #89802	C₂²	semidirect
108. C₄×#1144	C₂²	semidirect
112. #89796	C₂²	semidirect
121. #89660	C₂²	semidirect
124. #89659	C₂²	semidirect
130. #89656	C₂²	semidirect
131. #89656	C₂²	semidirect
132. #89656	C₂²	semidirect
135. #89653	C₂²	semidirect
137. D₇×#107	C₂²	semidirect
138. D₇×#107	C₂²	semidirect
139. #89649	C₂²	semidirect
140. #89649	C₂²	semidirect
141. #89647	C₂²	semidirect
142. #89647	C₂²	semidirect
144. #89640	C₂²	semidirect
145. #89639	C₂²	semidirect
150. #89634	C₂²	semidirect
151. #89633	C₂²	semidirect
153. #89629	C₂²	semidirect
154. #89629	C₂²	semidirect
155. #89622	C₂²	semidirect
156. #89621	C₂²	semidirect
160. #89611	C₂²	semidirect
161. #89611	C₂²	semidirect
163. #89608	C₂²	semidirect
166. #89601	C₂²	semidirect
168. #89588	C₂²	semidirect
171. #89585	C₂²	semidirect
174. #89581	C₂²	semidirect
176. #89577	C₂²	semidirect
177. #89565	C₂²	semidirect
178. #89565	C₂²	semidirect
191. #89488	C₂²	semidirect
194. #89481	C₂²	semidirect
196. #89478	C₂²	semidirect
198. #89475	C₂²	semidirect
199. C₄×Dic₂₈	C₂²	semidirect
201. #89462	C₂²	semidirect
482. #3386	D₇	semidirect
707. #557	C₂×D₇	semidirect
751. #501	C₂×D₇	semidirect
752. #501	C₂×D₇	semidirect
754. #500	C₂×D₇	semidirect
801. #477	C₂×D₇	semidirect
802. #477	C₂×D₇	semidirect
804. #475	C₂×D₇	semidirect
838. #446	C₂×D₇	semidirect
1580. C₇	#62165	semidirect

Maximal subgroups

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

subgroup	index
#11744106	2
#11743819	2
C₇×#3386	2
#11741145	2
#11741003	2
#11739436	2
#11739435	2
#11739433	2
#11739425	2
#11739392	2
#11739390	2
#11738635	2
#11738631	2
#11738615	2
D₇×#478	2
#11738572	2
#11738570	2
#11738563	2
#11738544	2
#11738475	2
#11738448	2
#11738427	2
#11738413	2
#11737430	2
#11737391	2
#11737248	2
#11737247	2
#11737231	2
#11737224	2
#11737122	2
#11737102	2
#62165	7