Subgroups — #14250920

Order 1792.

1652 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743658	C₂	1	1	yes	maximal, characteristic, complemented
2	#11742933	C₂	1	1	yes	maximal, characteristic
3	C₇×#3081	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740926	C₂	1	1	yes	maximal, characteristic, complemented
5	#11739990	C₂	1	1	yes	maximal, characteristic, complemented
6	#11738639	C₂	1	1	yes	maximal, characteristic, complemented
7	#11738635	C₂	1	1	yes	maximal, characteristic, complemented
8	#11738628	C₂	1	1	yes	maximal, characteristic, complemented
9	#11738620	C₂	1	1	yes	maximal, characteristic, complemented
10	#11738610	C₂	1	1	yes	maximal, characteristic, complemented
11	#11738605	C₂	1	1	yes	maximal, characteristic, complemented
12	#11738600	C₂	1	1	yes	maximal, characteristic, complemented
13	#11738590	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738536	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738529	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738508	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738492	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738426	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738421	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738419	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738405	C₂	1	1	yes	maximal, characteristic, complemented
22	#11736674	C₂	1	1	yes	maximal, characteristic, complemented
23	#11736669	C₂	1	1	yes	maximal, characteristic, complemented
24	#11736639	C₂	1	1	yes	maximal, characteristic, complemented
25	#11736636	C₂	1	1	yes	maximal, characteristic, complemented
26	#11736547	C₂	1	1	yes	maximal, characteristic, complemented
27	#11736527	C₂	1	1	yes	maximal, characteristic, complemented
28	#11736380	C₂	1	1	yes	maximal, characteristic, complemented
29	#11736380	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736208	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736204	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#518	C₂²	1	1	yes	characteristic
34	#90497	C₂²	1	1	yes	characteristic
35	#90497	C₂²	1	1	yes	characteristic
36	#90426	—	2	1	no	—
37	#90423	C₂²	1	1	yes	characteristic, complemented
38	#90420	C₂²	1	1	yes	characteristic, complemented
39	#90419	C₂²	1	1	yes	characteristic, complemented
40	#90413	C₂²	1	1	yes	characteristic, complemented
41	#90412	—	2	1	no	—
42	#90388	C₂²	1	1	yes	characteristic, complemented
43	#90387	—	2	1	no	—
44	#90387	—	2	1	no	—
45	#90385	C₂²	1	1	yes	characteristic, complemented
46	#90379	C₂²	1	1	yes	characteristic, complemented
47	#90376	C₂²	1	1	yes	characteristic, complemented
48	#90337	—	2	1	no	—
49	#90332	—	2	1	no	—
50	#90331	—	2	1	no	—
51	#90316	—	2	1	no	—
52	#90255	—	2	1	no	—
53	#90252	C₂²	1	1	yes	characteristic
54	#90249	C₂²	1	1	yes	characteristic
55	#90248	C₂²	1	1	yes	characteristic
56	#90246	C₂²	1	1	yes	characteristic
57	#90237	C₂²	1	1	yes	characteristic
58	#90233	C₂²	1	1	yes	characteristic
59	#90232	—	2	1	no	—
60	#90231	—	2	1	no	—
61	#90230	C₂²	1	1	yes	characteristic
62	#90229	—	2	1	no	—
63	C₄×#1159	C₂²	1	1	yes	characteristic
64	#90224	C₂²	1	1	yes	characteristic
65	#90224	C₂²	1	1	yes	characteristic
66	#90224	C₂²	1	1	yes	characteristic
67	#90220	C₂²	1	1	yes	characteristic
68	#90219	C₂²	1	1	yes	characteristic
69	#90209	C₂²	1	1	yes	characteristic
70	#90209	C₂²	1	1	yes	characteristic
71	#90204	C₂²	1	1	yes	characteristic
72	#90202	C₂²	1	1	yes	characteristic
73	#90186	—	2	1	no	—
74	#90186	—	2	1	no	—
75	#90185	—	2	1	no	—
76	C₂×#6442	—	2	1	no	—
77	C₇×#478	C₂²	1	1	yes	characteristic
78	C₇×#478	C₂²	1	1	yes	characteristic
79	C₇×#478	C₂²	1	1	yes	characteristic
80	C₇×#478	C₂²	1	1	yes	characteristic
81	C₇×#476	C₂²	1	1	yes	characteristic
82	C₇×#476	C₂²	1	1	yes	characteristic
83	C₇×#474	C₂²	1	1	yes	characteristic
84	C₇×#474	C₂²	1	1	yes	characteristic
85	C₇×#428	C₂²	1	1	yes	characteristic
86	C₇×#427	C₂²	1	1	yes	characteristic
87	C₇×#424	C₂²	1	1	yes	characteristic
88	C₇×#418	C₂²	1	1	yes	characteristic
89	C₂×C₇×#102	C₂²	1	1	yes	characteristic
90	#89990	C₂²	1	1	yes	characteristic
91	#89990	C₂²	1	1	yes	characteristic
92	#89909	C₂²	1	1	yes	characteristic
93	#89909	C₂²	1	1	yes	characteristic
94	#89899	C₂²	1	1	yes	characteristic
95	#89899	C₂²	1	1	yes	characteristic
96	#89888	C₂²	1	1	yes	characteristic
97	#89888	C₂²	1	1	yes	characteristic
98	#89883	C₂²	1	1	yes	characteristic
99	C₈×C₂²⋊D₇	C₂²	1	1	yes	characteristic
100	#89866	C₂²	1	1	yes	characteristic, complemented
101	#89865	C₂²	1	1	yes	characteristic, complemented
102	#89863	C₂²	1	1	yes	characteristic, complemented
103	#89852	C₂²	1	1	yes	characteristic, complemented
104	#89841	C₂²	1	1	yes	characteristic, complemented
105	#89836	C₂²	1	1	yes	characteristic, complemented
106	#89835	C₂²	1	1	yes	characteristic, complemented
107	#89835	C₂²	1	1	yes	characteristic, complemented
108	#89791	C₂²	1	1	yes	characteristic
109	#89791	C₂²	1	1	yes	characteristic
110	#89790	C₂²	1	1	yes	characteristic
111	#89790	C₂²	1	1	yes	characteristic
112	C₄×#1142	C₂²	1	1	yes	characteristic
113	C₄×#1142	C₂²	1	1	yes	characteristic
114	#89781	C₂²	1	1	yes	characteristic
115	#89781	C₂²	1	1	yes	characteristic
116	#89772	C₂²	1	1	yes	characteristic
117	#89768	C₂²	1	1	yes	characteristic
118	#89768	C₂²	1	1	yes	characteristic
119	#89768	C₂²	1	1	yes	characteristic
120	#89768	C₂²	1	1	yes	characteristic
121	#89743	C₂²	1	1	yes	characteristic
122	#89742	C₂²	1	1	yes	characteristic
123	#89660	C₂²	1	1	yes	characteristic, complemented
124	#89660	C₂²	1	1	yes	characteristic, complemented
125	#89659	C₂²	1	1	yes	characteristic, complemented
126	#89659	C₂²	1	1	yes	characteristic, complemented
127	#89659	C₂²	1	1	yes	characteristic, complemented
128	#89656	C₂²	1	1	yes	characteristic, complemented
129	#89656	C₂²	1	1	yes	characteristic, complemented
130	#89652	C₂²	1	1	yes	characteristic, complemented
131	#89649	C₂²	1	1	yes	characteristic, complemented
132	#89649	C₂²	1	1	yes	characteristic, complemented
133	#89648	C₂²	1	1	yes	characteristic, complemented
134	#89648	C₂²	1	1	yes	characteristic, complemented
135	#89647	C₂²	1	1	yes	characteristic, complemented
136	#89647	C₂²	1	1	yes	characteristic, complemented
137	#89646	C₂²	1	1	yes	characteristic, complemented
138	#89645	C₂²	1	1	yes	characteristic, complemented
139	#89640	C₂²	1	1	yes	characteristic, complemented
140	#89639	C₂²	1	1	yes	characteristic, complemented
141	#89639	C₂²	1	1	yes	characteristic, complemented
142	#89639	C₂²	1	1	yes	characteristic, complemented
143	#89634	C₂²	1	1	yes	characteristic, complemented
144	#89633	C₂²	1	1	yes	characteristic, complemented
145	#89632	C₂²	1	1	yes	characteristic, complemented
146	D₇×#106	C₂²	1	1	yes	characteristic, complemented
147	#89629	C₂²	1	1	yes	characteristic, complemented
148	#89628	C₂²	1	1	yes	characteristic, complemented
149	#89626	C₂²	1	1	yes	characteristic, complemented
150	#89626	C₂²	1	1	yes	characteristic, complemented
151	#89626	C₂²	1	1	yes	characteristic, complemented
152	#89625	C₂²	1	1	yes	characteristic, complemented
153	#89625	C₂²	1	1	yes	characteristic, complemented
154	#89625	C₂²	1	1	yes	characteristic, complemented
155	#89621	C₂²	1	1	yes	characteristic, complemented
156	#89621	C₂²	1	1	yes	characteristic, complemented
157	#89621	C₂²	1	1	yes	characteristic, complemented
158	#89621	C₂²	1	1	yes	characteristic, complemented
159	#89612	C₂²	1	1	yes	characteristic, complemented
160	#89611	C₂²	1	1	yes	characteristic, complemented
161	#89608	C₂²	1	1	yes	characteristic, complemented
162	#89607	C₂²	1	1	yes	characteristic, complemented
163	#89606	C₂²	1	1	yes	characteristic, complemented
164	D₇×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
165	#89603	C₂²	1	1	yes	characteristic, complemented
166	#89601	C₂²	1	1	yes	characteristic, complemented
167	#89601	C₂²	1	1	yes	characteristic, complemented
168	#89601	C₂²	1	1	yes	characteristic, complemented
169	#89601	C₂²	1	1	yes	characteristic, complemented
170	#89600	C₂²	1	1	yes	characteristic, complemented
171	#89556	C₂²	1	1	yes	characteristic
172	#89555	C₂²	1	1	yes	characteristic
173	#89555	C₂²	1	1	yes	characteristic
174	#89555	C₂²	1	1	yes	characteristic
175	#89555	C₂²	1	1	yes	characteristic
176	#89552	C₂²	1	1	yes	characteristic
177	#89551	C₂²	1	1	yes	characteristic
178	#89551	C₂²	1	1	yes	characteristic
179	#89550	C₂²	1	1	yes	characteristic
180	#89550	C₂²	1	1	yes	characteristic
181	#89550	C₂²	1	1	yes	characteristic
182	#89546	C₂²	1	1	yes	characteristic
183	#89544	C₂²	1	1	yes	characteristic
184	#89544	C₂²	1	1	yes	characteristic
185	#89544	C₂²	1	1	yes	characteristic
186	#89543	C₂²	1	1	yes	characteristic
187	#89540	C₂²	1	1	yes	characteristic
188	#89539	C₂²	1	1	yes	characteristic
189	#89539	C₂²	1	1	yes	characteristic
190	#89539	C₂²	1	1	yes	characteristic
191	#89539	C₂²	1	1	yes	characteristic
192	#89538	C₂²	1	1	yes	characteristic
193	#89537	C₂²	1	1	yes	characteristic
194	#89537	C₂²	1	1	yes	characteristic
195	#89537	C₂²	1	1	yes	characteristic
196	#89533	C₂²	1	1	yes	characteristic
197	#89533	C₂²	1	1	yes	characteristic
198	#89531	C₂²	1	1	yes	characteristic
199	#89530	C₂²	1	1	yes	characteristic
200	#89529	C₂²	1	1	yes	characteristic
201	#89529	C₂²	1	1	yes	characteristic
202	#89529	C₂²	1	1	yes	characteristic
203	#62172	—	7	1	no	maximal, Sylow
204	C₂²×C₇×D₄	C₂³	1	1	yes	characteristic
205	C₂×#1159	C₂³	1	1	yes	characteristic
206	C₂×#1159	C₂³	1	1	yes	characteristic
207	C₂×C₇×M₁₆	C₂³	1	1	yes	characteristic
208	C₂²×C₇×C₈	C₂³	1	1	yes	characteristic
209	C₇×C₄⋊Q₈	—	2	1	no	—
210	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×#125	—	2	1	no	—
213	C₇×#125	C₂³	1	1	yes	characteristic
214	C₇×#125	C₂³	1	1	yes	characteristic
215	C₇×C₂²⋊Q₈	—	2	1	no	—
216	C₇×C₂²⋊Q₈	—	2	1	no	—
217	C₄×C₇×D₄	—	2	1	no	—
218	C₄×C₇×D₄	—	2	1	no	—
219	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
220	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
221	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
222	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
223	C₇×#117	C₂³	1	1	yes	characteristic
224	C₇×#117	C₂³	1	1	yes	characteristic
225	C₇×#117	C₂³	1	1	yes	characteristic
226	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
228	C₂×C₇×C₂²⋊C₄	—	2	1	no	—
229	#6516	—	2	1	no	—
230	#6516	—	2	1	no	—
231	C₂×C₂²⋊Dic₇	—	2	1	no	—
232	C₂×C₂²⋊Dic₇	—	2	1	no	—
233	#6510	—	2	1	no	—
234	#6509	—	2	1	no	—
235	#6509	—	2	1	no	—
236	Q₈×Dic₇	—	2	1	no	—
237	Q₈×Dic₇	—	2	1	no	—
238	#6507	—	2	1	no	—
239	#6507	—	2	1	no	—
240	#6507	—	2	1	no	—
241	#6502	—	2	1	no	—
242	#6502	—	2	1	no	—
243	#6501	C₂³	1	1	yes	characteristic
244	#6501	C₂³	1	1	yes	characteristic
245	#6499	C₂³	1	1	yes	characteristic
246	#6499	C₂³	1	1	yes	characteristic
247	#6498	—	2	1	no	—
248	#6498	—	2	1	no	—
249	D₄×Dic₇	C₂³	1	1	yes	characteristic
250	D₄×Dic₇	C₂³	1	1	yes	characteristic
251	C₂×#1142	C₂³	1	1	yes	characteristic
252	C₂×#1142	C₂³	1	1	yes	characteristic
253	C₂×#1142	C₂³	1	1	yes	characteristic
254	C₂×#1142	C₂³	1	1	yes	characteristic
255	#6493	—	2	1	no	—
256	#6492	—	2	1	no	—
257	#6492	—	2	1	no	—
258	#6492	—	2	1	no	—
259	C₄×C₂²⋊D₇	—	2	1	no	—
260	C₄×C₂²⋊D₇	—	2	1	no	—
261	C₄×C₂²⋊D₇	—	2	1	no	—
262	C₄×C₂²⋊D₇	—	2	1	no	—
263	C₄×C₂²⋊D₇	—	2	1	no	—
264	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
265	C₄×C₂²⋊D₇	C₂³	1	1	yes	characteristic
266	#6489	—	2	1	no	—
267	#6489	—	2	1	no	—
268	#6489	—	2	1	no	—
269	C₂×C₄⋊Dic₇	—	2	1	no	—
270	#6487	—	2	1	no	—
271	#6487	—	2	1	no	—
272	#6487	—	2	1	no	—
273	#6487	—	2	1	no	—
274	#6487	C₂³	1	1	yes	characteristic
275	#6487	C₂³	1	1	yes	characteristic
276	#6487	C₂³	1	1	yes	characteristic
277	#6487	C₂³	1	1	yes	characteristic
278	C₂×Dic₇⋊C₄	—	2	1	no	—
279	C₂×Dic₇⋊C₄	—	2	1	no	—
280	C₂×C₄×Dic₇	—	2	1	no	—
281	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
282	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
283	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
284	C₂×Dic₂₈	C₂³	1	1	yes	characteristic
285	C₂×#1131	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
289	#6461	—	2	1	no	—
290	#6461	—	2	1	no	—
291	#6461	—	2	1	no	—
292	#6461	—	2	1	no	—
293	#6461	—	2	1	no	—
294	#6461	—	2	1	no	—
295	#6461	D₄	1	1	yes	characteristic
296	#6460	C₂³	1	1	yes	characteristic
297	#6460	C₂³	1	1	yes	characteristic
298	#6460	C₂³	1	1	yes	characteristic
299	#6460	C₂³	1	1	yes	characteristic
300	#6460	C₂³	1	1	yes	characteristic
301	#6460	C₂³	1	1	yes	characteristic
302	#6459	—	2	1	no	—
303	#6459	—	2	1	no	—
304	#6459	—	2	1	no	—
305	#6459	—	2	1	no	—
306	#6459	D₄	1	1	yes	characteristic
307	#6457	—	2	1	no	—
308	#6457	D₄	1	1	yes	characteristic
309	#6455	—	2	1	no	—
310	#6455	—	2	1	no	—
311	#6455	C₂³	1	1	yes	characteristic
312	#6455	C₂³	1	1	yes	characteristic
313	#6455	C₂³	1	1	yes	characteristic
314	#6455	C₂³	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	—	2	1	no	—
320	#6453	—	2	1	no	—
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	#6452	—	2	1	no	—
330	#6452	—	2	1	no	—
331	#6452	—	2	1	no	—
332	#6452	D₄	1	1	yes	characteristic
333	#6451	—	2	1	no	—
334	#6451	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
344	#6450	C₂³	1	1	yes	characteristic
345	#6450	C₂³	1	1	yes	characteristic
346	#6450	C₂³	1	1	yes	characteristic
347	#6450	C₂³	1	1	yes	characteristic
348	#6450	C₂³	1	1	yes	characteristic
349	#6449	—	2	1	no	—
350	#6449	—	2	1	no	—
351	#6448	—	2	1	no	—
352	#6448	—	2	1	no	—
353	#6448	—	2	1	no	—
354	#6448	—	2	1	no	—
355	#6448	D₄	1	1	yes	characteristic
356	#6447	—	2	1	no	—
357	#6447	D₄	1	1	yes	characteristic
358	#6446	—	2	1	no	—
359	#6446	—	2	1	no	—
360	#6446	D₄	1	1	yes	characteristic
361	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
362	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
363	#6442	—	2	1	no	—
364	#6442	—	2	1	no	—
365	#6442	—	2	1	no	—
366	#6442	—	2	1	no	—
367	#6442	—	2	1	no	—
368	#6442	—	2	1	no	—
369	#6442	—	2	1	no	—
370	#6442	—	2	1	no	—
371	#6442	—	2	1	no	—
372	#6442	—	2	1	no	—
373	#6442	—	2	1	no	—
374	#6442	—	2	1	no	—
375	#6442	—	2	1	no	—
376	#6442	D₄	1	1	yes	characteristic
377	#6441	—	2	1	no	—
378	#6441	—	2	1	no	—
379	#6440	—	2	1	no	—
380	#6440	—	2	1	no	—
381	#6439	—	2	1	no	—
382	#6439	—	2	1	no	—
383	#6439	—	2	1	no	—
384	C₄×D₂₈	C₂³	1	1	yes	characteristic
385	#6435	—	2	1	no	—
386	#6435	C₂³	1	1	yes	characteristic
387	C₄²×D₇	C₂³	1	1	yes	characteristic
388	#6433	—	2	1	no	—
389	#6433	C₂³	1	1	yes	characteristic
390	#6433	C₂³	1	1	yes	characteristic
391	#6432	C₂³	1	1	yes	characteristic
392	#6432	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₄	—	2	1	no	—
394	C₄×Dic₁₄	—	2	1	no	—
395	C₄×Dic₁₄	—	2	1	no	—
396	C₄×Dic₁₄	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×#106	C₂³	1	1	yes	characteristic
406	C₇×#106	C₂³	1	1	yes	characteristic
407	C₇×#106	C₂³	1	1	yes	characteristic
408	C₇×#106	C₂³	1	1	yes	characteristic
409	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₇×#102	C₂³	1	1	yes	characteristic
414	C₇×#102	C₂³	1	1	yes	characteristic
415	C₇×#102	C₂³	1	1	yes	characteristic
416	C₇×#102	C₂³	1	1	yes	characteristic
417	C₇×#102	C₂³	1	1	yes	characteristic
418	C₇×#102	C₂³	1	1	yes	characteristic
419	C₇×#102	C₂³	1	1	yes	characteristic
420	C₇×#102	C₂³	1	1	yes	characteristic
421	#6406	C₂³	1	1	yes	characteristic
422	#6406	C₂³	1	1	yes	characteristic
423	#6406	C₂³	1	1	yes	characteristic
424	#6406	C₂³	1	1	yes	characteristic
425	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
426	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
427	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
428	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
429	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
430	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
431	#6392	C₂³	1	1	yes	characteristic
432	#6392	C₂³	1	1	yes	characteristic
433	#6391	C₂³	1	1	yes	characteristic
434	#6391	C₂³	1	1	yes	characteristic
435	#6390	C₂³	1	1	yes	characteristic
436	#6390	C₂³	1	1	yes	characteristic
437	#6390	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	#6389	C₂³	1	1	yes	characteristic
444	#6389	C₂³	1	1	yes	characteristic
445	#6389	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	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	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	#6384	C₂³	1	1	yes	characteristic
459	#6384	C₂³	1	1	yes	characteristic
460	#6384	C₂³	1	1	yes	characteristic
461	#6384	C₂³	1	1	yes	characteristic
462	#6384	C₂³	1	1	yes	characteristic
463	#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	#6382	C₂³	1	1	yes	characteristic
468	#6382	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	#3555	—	7	1	no	—
480	#3521	—	7	1	no	—
481	#3388	—	7	1	no	—
482	#3385	—	7	1	no	—
483	#3377	—	7	1	no	—
484	#3369	—	7	1	no	—
485	#3350	—	7	1	no	—
486	#3349	—	7	1	no	—
487	#3349	—	7	1	no	—
488	#3344	—	7	1	no	—
489	#3342	—	7	1	no	—
490	#3337	—	7	1	no	—
491	#3315	—	7	1	no	—
492	#3314	—	7	1	no	—
493	#3311	—	7	1	no	—
494	#3311	—	7	1	no	—
495	#3302	—	7	1	no	—
496	#3296	—	7	1	no	—
497	#3261	—	7	1	no	—
498	#3258	—	7	1	no	—
499	#3248	—	7	1	no	—
500	#3243	—	7	1	no	—
501	#3242	—	7	1	no	—
502	#3240	—	7	1	no	—
503	#3123	—	7	1	no	—
504	#3120	—	7	1	no	—
505	#3116	—	7	1	no	—
506	#3084	—	7	1	no	—
507	#3081	D₇	1	1	yes	characteristic, complemented
508	#3076	—	7	1	no	—
509	#2992	—	7	1	no	—
510	C₂⁴×C₇	—	2	1	no	—
511	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×D₄	—	2	2	no	—
514	C₂×C₇×D₄	—	2	1	no	—
515	C₂×C₇×D₄	—	4	1	no	—
516	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
517	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₇	—	2	1	no	—
519	C₂²×C₄×C₇	—	2	1	no	—
520	C₂²×C₄×C₇	—	2	1	no	—
521	C₂²×C₄×C₇	—	2	1	no	—
522	C₂²×C₄×C₇	—	2	1	no	—
523	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₇	—	2	1	no	—
525	C₂×C₂²⋊D₇	—	2	1	no	—
526	C₂×C₂²⋊D₇	—	2	1	no	—
527	C₂×C₂²⋊D₇	—	2	1	no	—
528	C₂×C₂²⋊D₇	C₂×D₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₇	C₂×D₄	1	1	yes	characteristic
530	C₂²×Dic₇	—	2	1	no	—
531	C₂²×Dic₇	—	2	1	no	—
532	C₂²×Dic₇	—	2	1	no	—
533	C₂²×Dic₇	—	2	1	no	—
534	#1159	—	2	2	no	—
535	#1159	—	2	2	no	—
536	#1159	—	4	1	no	—
537	#1159	—	4	1	no	—
538	C₂×D₂₈	C₂×D₄	1	1	yes	characteristic
539	C₂×C₄×D₇	—	2	1	no	—
540	C₂×C₄×D₇	—	2	1	no	—
541	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
542	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
543	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
545	C₂×Dic₁₄	—	2	1	no	—
546	C₂×Dic₁₄	—	2	1	no	—
547	C₂×Dic₁₄	—	2	1	no	—
548	C₂×Dic₁₄	—	2	1	no	—
549	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
550	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
551	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
552	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
553	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
554	C₇×M₁₆	—	4	1	no	—
555	C₂×C₇×C₈	—	4	1	no	—
556	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
558	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
559	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
560	C₇×C₄⋊C₄	—	2	1	no	—
561	C₇×C₄⋊C₄	—	2	1	no	—
562	C₇×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
568	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
569	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
573	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
574	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
575	C₇×C₂²⋊C₄	—	2	1	no	—
576	C₇×C₂²⋊C₄	—	2	1	no	—
577	C₇×C₂²⋊C₄	—	2	1	no	—
578	C₇×C₂²⋊C₄	—	2	1	no	—
579	C₇×C₂²⋊C₄	—	2	1	no	—
580	C₇×C₂²⋊C₄	—	2	1	no	—
581	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₄²×C₇	—	2	1	no	—
584	C₄²×C₇	—	2	1	no	—
585	C₄²×C₇	C₂⁴	1	1	yes	characteristic
586	C₄²×C₇	C₂⁴	1	1	yes	characteristic
587	C₂²⋊Dic₇	—	2	1	no	—
588	C₂²⋊Dic₇	—	2	1	no	—
589	C₂²⋊Dic₇	—	2	1	no	—
590	C₂²⋊Dic₇	—	2	1	no	—
591	C₂²⋊Dic₇	—	2	1	no	—
592	C₂²⋊Dic₇	—	2	1	no	—
593	C₂²⋊Dic₇	—	2	1	no	—
594	C₂²⋊Dic₇	—	2	1	no	—
595	C₂²⋊Dic₇	—	2	1	no	—
596	C₂²⋊Dic₇	—	2	1	no	—
597	C₂²⋊Dic₇	—	2	1	no	—
598	C₂²⋊Dic₇	—	2	1	no	—
599	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
600	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
601	#1142	—	2	2	no	—
602	#1142	—	2	2	no	—
603	#1142	—	4	1	no	—
604	#1142	—	4	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	C₂×D₄	1	1	yes	characteristic
616	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
617	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
618	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
619	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
620	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₄⋊Dic₇	—	2	1	no	—
622	C₄⋊Dic₇	—	2	1	no	—
623	C₄⋊Dic₇	—	2	1	no	—
624	C₄⋊Dic₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
634	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₇	C₂⁴	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	Dic₇⋊C₄	—	2	1	no	—
640	Dic₇⋊C₄	—	2	1	no	—
641	Dic₇⋊C₄	—	2	1	no	—
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	—	2	1	no	—
663	Dic₇⋊C₄	—	2	1	no	—
664	Dic₇⋊C₄	—	2	1	no	—
665	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
666	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
667	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
668	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
669	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
670	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
678	C₄×Dic₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
689	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
690	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
691	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
692	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
693	Dic₂₈	—	4	1	no	—
694	Dic₂₈	—	4	1	no	—
695	Dic₂₈	—	4	1	no	—
696	Dic₂₈	—	4	1	no	—
697	#1131	—	4	1	no	—
698	C₈×D₇	—	4	1	no	—
699	C₈×D₇	—	4	1	no	—
700	C₈×D₇	—	4	1	no	—
701	#563	—	14	1	no	—
702	#563	—	14	1	no	—
703	Q₈²	—	7	1	no	—
704	#557	—	7	1	no	—
705	#557	—	14	1	no	—
706	#556	—	7	1	no	—
707	#556	—	7	1	no	—
708	#556	—	7	1	no	—
709	#556	—	7	1	no	—
710	#556	—	7	1	no	—
711	#556	—	14	1	no	—
712	#554	—	7	1	no	—
713	#554	—	7	1	no	—
714	#553	—	7	1	no	—
715	#553	—	14	1	no	—
716	#552	—	7	1	no	—
717	#552	—	7	1	no	—
718	#552	—	7	1	no	—
719	#552	—	14	1	no	—
720	#551	—	14	1	no	—
721	#551	—	14	1	no	—
722	#547	—	7	1	no	—
723	#546	—	7	1	no	—
724	#546	—	7	1	no	—
725	#544	—	7	1	no	—
726	#544	C₂×D₇	1	1	yes	characteristic
727	#542	—	7	1	no	—
728	#542	—	14	1	no	—
729	#541	—	7	1	no	—
730	#541	—	7	1	no	—
731	#541	—	7	1	no	—
732	#541	—	14	1	no	—
733	#541	—	14	1	no	—
734	#541	—	14	1	no	—
735	#539	—	14	1	no	—
736	#538	—	14	1	no	—
737	#533	—	7	1	no	—
738	#533	—	7	1	no	—
739	#529	—	7	1	no	—
740	#529	—	7	1	no	—
741	#529	—	14	1	no	—
742	C₂×#126	—	14	1	no	—
743	#520	—	7	1	no	—
744	#518	C₂×D₇	1	1	yes	characteristic
745	C₄×#41	—	7	1	no	—
746	#501	—	7	1	no	—
747	#501	—	7	1	no	—
748	#501	—	7	1	no	—
749	#501	—	7	1	no	—
750	#500	—	7	1	no	—
751	#499	—	7	1	no	—
752	#491	—	7	1	no	—
753	#489	—	7	1	no	—
754	#489	—	7	1	no	—
755	#489	—	7	1	no	—
756	#488	—	7	1	no	—
757	#487	—	7	1	no	—
758	#485	—	7	1	no	—
759	#485	—	7	1	no	—
760	#485	—	7	1	no	—
761	#485	—	7	1	no	—
762	#485	—	7	1	no	—
763	#485	—	7	1	no	—
764	#485	—	7	1	no	—
765	#485	—	7	1	no	—
766	#485	—	7	1	no	—
767	#484	—	7	1	no	—
768	#484	—	7	1	no	—
769	#484	—	7	1	no	—
770	#483	—	7	1	no	—
771	#483	—	7	1	no	—
772	#482	—	7	1	no	—
773	#482	—	7	1	no	—
774	#482	—	7	1	no	—
775	#480	—	7	1	no	—
776	#479	—	7	1	no	—
777	#479	—	7	1	no	—
778	#479	—	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	C₂×D₇	1	1	yes	characteristic
789	#478	C₂×D₇	1	1	yes	characteristic
790	#478	C₂×D₇	1	1	yes	characteristic
791	#478	C₂×D₇	1	1	yes	characteristic
792	#477	—	7	1	no	—
793	#477	—	7	1	no	—
794	#477	—	7	1	no	—
795	#476	—	7	1	no	—
796	#476	—	7	1	no	—
797	#476	C₂×D₇	1	1	yes	characteristic
798	#476	C₂×D₇	1	1	yes	characteristic
799	#475	—	7	1	no	—
800	#475	—	7	1	no	—
801	#475	—	7	1	no	—
802	#475	—	7	1	no	—
803	#474	—	7	1	no	—
804	#474	C₂×D₇	1	1	yes	characteristic
805	#474	C₂×D₇	1	1	yes	characteristic
806	#470	—	7	1	no	—
807	#470	—	7	1	no	—
808	#470	—	7	1	no	—
809	#468	—	7	1	no	—
810	#467	—	7	1	no	—
811	#467	—	7	1	no	—
812	#467	—	7	1	no	—
813	#467	—	7	1	no	—
814	#467	—	7	1	no	—
815	#465	—	7	1	no	—
816	#465	—	7	1	no	—
817	#465	—	7	1	no	—
818	#464	—	7	1	no	—
819	#464	—	7	1	no	—
820	#464	—	7	1	no	—
821	#464	—	7	1	no	—
822	#462	—	7	1	no	—
823	#462	—	7	1	no	—
824	#462	—	7	1	no	—
825	#462	—	7	1	no	—
826	#461	—	7	1	no	—
827	#461	—	7	1	no	—
828	#452	—	7	1	no	—
829	#452	—	7	1	no	—
830	#452	—	7	1	no	—
831	#452	—	7	1	no	—
832	#450	—	7	1	no	—
833	#450	—	7	1	no	—
834	#446	—	7	1	no	—
835	#446	—	7	1	no	—
836	#441	—	7	1	no	—
837	#441	—	7	1	no	—
838	#441	—	7	1	no	—
839	#440	—	7	1	no	—
840	#440	—	7	1	no	—
841	#440	—	7	1	no	—
842	#440	—	7	1	no	—
843	#440	—	7	1	no	—
844	C₄×Q₁₆	—	7	1	no	—
845	C₄×SD₁₆	—	7	1	no	—
846	C₄×SD₁₆	—	7	1	no	—
847	C₄×SD₁₆	—	7	1	no	—
848	#435	—	7	1	no	—
849	#435	—	7	1	no	—
850	#435	—	7	1	no	—
851	#435	—	7	1	no	—
852	C₈×D₄	—	7	1	no	—
853	C₈×D₄	—	7	1	no	—
854	#433	—	7	1	no	—
855	#433	—	7	1	no	—
856	#432	—	7	1	no	—
857	#428	—	7	1	no	—
858	#428	C₂×D₇	1	1	yes	characteristic
859	#427	—	7	1	no	—
860	#427	—	7	1	no	—
861	#427	C₂×D₇	1	1	yes	characteristic
862	C₂×#106	—	7	1	no	—
863	#424	—	7	1	no	—
864	#424	C₂×D₇	1	1	yes	characteristic
865	C₂×C₄⋊C₈	—	7	1	no	—
866	#418	C₂×D₇	1	1	yes	characteristic
867	#417	—	7	1	no	—
868	#416	—	7	1	no	—
869	#416	—	7	1	no	—
870	#416	—	7	1	no	—
871	C₂×#102	C₂×D₇	1	1	yes	characteristic
872	C₂³×C₇	—	2	1	no	—
873	C₂³×C₇	—	2	1	no	—
874	C₂³×C₇	—	4	2	no	—
875	C₂³×C₇	—	8	1	no	—
876	C₂³×C₇	—	8	1	no	—
877	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
878	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
879	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
880	C₇×Q₈	—	8	1	no	—
881	C₇×Q₈	—	8	1	no	—
882	C₇×D₄	—	2	1	no	—
883	C₇×D₄	—	2	1	no	—
884	C₇×D₄	—	2	1	no	—
885	C₇×D₄	—	4	2	no	—
886	C₇×D₄	2₋¹⁺⁴	1	2	yes	—
887	C₂×C₄×C₇	—	2	1	no	—
888	C₂×C₄×C₇	—	2	1	no	—
889	C₂×C₄×C₇	—	2	1	no	—
890	C₂×C₄×C₇	—	2	1	no	—
891	C₂×C₄×C₇	—	2	1	no	—
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	—	8	1	no	—
896	C₂×C₄×C₇	—	8	1	no	—
897	C₂×C₄×C₇	—	8	1	no	—
898	C₂×C₄×C₇	—	8	1	no	—
899	C₂×C₄×C₇	—	8	1	no	—
900	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
906	C₂²⋊D₇	—	4	1	no	—
907	C₂²⋊D₇	—	4	1	no	—
908	C₂²⋊D₇	—	4	2	no	—
909	C₂²⋊D₇	—	4	2	no	—
910	C₂²⋊D₇	—	8	1	no	—
911	C₂²⋊D₇	—	8	1	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	—	2	1	no	—
920	C₂×Dic₇	—	4	2	no	—
921	C₂×Dic₇	—	4	2	no	—
922	C₂×Dic₇	—	8	1	no	—
923	C₂×Dic₇	—	8	1	no	—
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	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
928	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
929	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
930	D₂₈	—	4	1	no	—
931	C₄×D₇	—	2	1	no	—
932	C₄×D₇	—	2	1	no	—
933	C₄×D₇	—	2	1	no	—
934	C₄×D₇	—	2	1	no	—
935	C₄×D₇	—	4	1	no	—
936	C₄×D₇	—	4	1	no	—
937	C₄×D₇	—	8	1	no	—
938	C₄×D₇	—	8	1	no	—
939	Dic₁₄	—	2	1	no	—
940	Dic₁₄	—	2	1	no	—
941	Dic₁₄	—	2	1	no	—
942	Dic₁₄	—	2	1	no	—
943	Dic₁₄	—	2	1	no	—
944	Dic₁₄	—	2	1	no	—
945	Dic₁₄	—	2	1	no	—
946	Dic₁₄	—	2	1	no	—
947	Dic₁₄	—	4	1	no	—
948	Dic₁₄	—	4	2	no	—
949	Dic₁₄	—	8	1	no	—
950	Dic₁₄	—	8	1	no	—
951	Dic₁₄	—	8	1	no	—
952	C₇×C₈	—	2	1	no	—
953	C₇×C₈	—	2	1	no	—
954	C₇×C₈	—	2	1	no	—
955	C₇×C₈	—	2	1	no	—
956	C₇⋊C₈	—	2	1	no	—
957	C₇⋊C₈	—	2	1	no	—
958	C₇⋊C₈	—	2	1	no	—
959	C₇⋊C₈	—	2	1	no	—
960	C₂×#41	—	7	1	no	—
961	C₂×#41	—	7	1	no	—
962	C₂²×D₄	C₂²×D₇	1	1	yes	characteristic
963	C₂×Q₁₆	—	7	1	no	—
964	C₂×Q₁₆	—	7	1	no	—
965	C₂×Q₁₆	—	7	1	no	—
966	C₂×Q₁₆	—	7	1	no	—
967	C₂×SD₁₆	—	7	1	no	—
968	C₂×SD₁₆	—	7	1	no	—
969	C₂×SD₁₆	—	7	1	no	—
970	C₂×SD₁₆	—	7	1	no	—
971	C₂×M₁₆	—	7	1	no	—
972	C₂×M₁₆	C₂²×D₇	1	1	yes	characteristic
973	C₂²×C₈	—	7	1	no	—
974	C₂²×C₈	—	7	1	no	—
975	C₂²×C₈	—	7	1	no	—
976	C₂²×C₈	C₂²×D₇	1	1	yes	characteristic
977	C₄⋊Q₈	—	2	1	no	—
978	C₄⋊Q₈	—	7	1	no	—
979	C₄⋊Q₈	—	7	1	no	—
980	C₄⋊Q₈	—	7	1	no	—
981	C₄⋊Q₈	—	7	1	no	—
982	C₄⋊Q₈	—	7	1	no	—
983	C₄⋊Q₈	—	7	1	no	—
984	C₄⋊Q₈	—	14	1	no	—
985	C₄⋊Q₈	—	14	1	no	—
986	C₄⋊Q₈	—	14	1	no	—
987	C₄⋊Q₈	—	14	1	no	—
988	C₄⋊Q₈	—	14	1	no	—
989	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
990	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
991	#126	—	7	1	no	—
992	#126	—	7	1	no	—
993	#126	—	14	1	no	—
994	#126	—	14	1	no	—
995	#126	—	14	1	no	—
996	#126	—	14	1	no	—
997	#126	—	14	1	no	—
998	#126	—	14	1	no	—
999	#126	—	14	1	no	—
1000	#126	—	14	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	#126	—	14	1	no	—
1014	#126	—	14	1	no	—
1015	#125	—	2	1	no	—
1016	#125	—	7	1	no	—
1017	#125	—	7	1	no	—
1018	#125	—	7	1	no	—
1019	#125	—	7	1	no	—
1020	#125	—	7	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	C₂²×D₇	1	1	yes	characteristic
1036	#125	C₂²×D₇	1	1	yes	characteristic
1037	#124	—	7	1	no	—
1038	#124	—	7	1	no	—
1039	#124	—	7	1	no	—
1040	#124	—	14	1	no	—
1041	#124	—	14	1	no	—
1042	#124	—	14	1	no	—
1043	#124	—	14	1	no	—
1044	#124	—	14	1	no	—
1045	#123	—	7	1	no	—
1046	#123	—	7	1	no	—
1047	#123	—	14	1	no	—
1048	#123	—	14	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	C₂²⋊Q₈	—	2	1	no	—
1058	C₂²⋊Q₈	—	2	1	no	—
1059	C₂²⋊Q₈	—	7	1	no	—
1060	C₂²⋊Q₈	—	7	1	no	—
1061	C₂²⋊Q₈	—	7	1	no	—
1062	C₂²⋊Q₈	—	7	1	no	—
1063	C₂²⋊Q₈	—	7	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	—	14	1	no	—
1071	C₂²⋊Q₈	—	14	1	no	—
1072	C₂²⋊Q₈	—	14	1	no	—
1073	C₂²⋊Q₈	—	14	1	no	—
1074	C₂²⋊Q₈	—	14	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	#121	—	7	1	no	—
1083	#121	—	7	1	no	—
1084	#121	—	7	1	no	—
1085	#121	—	14	1	no	—
1086	#121	—	14	1	no	—
1087	#121	—	14	1	no	—
1088	#121	—	14	1	no	—
1089	#120	—	14	1	no	—
1090	#120	—	14	1	no	—
1091	C₄×Q₈	—	7	1	no	—
1092	C₄×Q₈	—	7	1	no	—
1093	C₄×Q₈	—	7	1	no	—
1094	C₄×Q₈	—	7	1	no	—
1095	C₄×Q₈	—	7	1	no	—
1096	C₄×Q₈	—	7	1	no	—
1097	C₄×Q₈	—	7	1	no	—
1098	C₄×Q₈	—	7	1	no	—
1099	C₄×Q₈	—	7	1	no	—
1100	C₄×Q₈	—	7	1	no	—
1101	C₄×Q₈	—	7	1	no	—
1102	C₄×Q₈	—	14	1	no	—
1103	C₄×Q₈	—	14	1	no	—
1104	C₄×Q₈	—	14	1	no	—
1105	C₄×Q₈	—	14	1	no	—
1106	C₄×Q₈	—	14	1	no	—
1107	C₄×Q₈	—	14	1	no	—
1108	C₄×Q₈	—	14	1	no	—
1109	C₄×Q₈	—	14	1	no	—
1110	C₄×Q₈	—	14	1	no	—
1111	C₄×D₄	—	2	1	no	—
1112	C₄×D₄	—	2	1	no	—
1113	C₄×D₄	—	7	1	no	—
1114	C₄×D₄	—	7	1	no	—
1115	C₄×D₄	—	7	1	no	—
1116	C₄×D₄	—	7	1	no	—
1117	C₄×D₄	—	7	1	no	—
1118	C₄×D₄	—	14	1	no	—
1119	C₄×D₄	—	14	1	no	—
1120	C₄×D₄	—	14	1	no	—
1121	C₄×D₄	—	14	1	no	—
1122	C₄×D₄	—	14	1	no	—
1123	C₄×D₄	—	14	1	no	—
1124	C₄×D₄	—	14	1	no	—
1125	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1126	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1127	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1128	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1129	#117	—	7	1	no	—
1130	#117	—	7	1	no	—
1131	#117	—	7	1	no	—
1132	#117	—	7	1	no	—
1133	#117	—	7	1	no	—
1134	#117	—	14	1	no	—
1135	#117	—	14	1	no	—
1136	#117	—	14	1	no	—
1137	#117	—	14	1	no	—
1138	#117	—	14	1	no	—
1139	#117	—	14	1	no	—
1140	#117	—	14	1	no	—
1141	#117	—	14	1	no	—
1142	#117	C₂²×D₇	1	1	yes	characteristic
1143	#117	C₂²×D₇	1	1	yes	characteristic
1144	#117	C₂²×D₇	1	1	yes	characteristic
1145	C₂×C₄⋊C₄	—	7	1	no	—
1146	C₂×C₄⋊C₄	—	7	1	no	—
1147	C₂×C₄⋊C₄	—	14	1	no	—
1148	C₂×C₄⋊C₄	—	14	1	no	—
1149	C₂×C₄⋊C₄	—	14	1	no	—
1150	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	—	2	1	no	—
1152	C₂×C₂²⋊C₄	—	2	1	no	—
1153	C₂×C₂²⋊C₄	—	14	1	no	—
1154	C₂×C₂²⋊C₄	—	14	1	no	—
1155	C₂×C₄²	—	7	1	no	—
1156	C₂×C₄²	—	14	1	no	—
1157	#107	—	7	1	no	—
1158	#107	—	7	1	no	—
1159	#107	—	7	1	no	—
1160	#107	—	7	1	no	—
1161	#107	—	7	1	no	—
1162	#107	—	7	1	no	—
1163	#107	—	7	1	no	—
1164	#107	—	7	1	no	—
1165	#107	C₂²×D₇	1	1	yes	characteristic
1166	#107	C₂²×D₇	1	1	yes	characteristic
1167	#107	C₂²×D₇	1	1	yes	characteristic
1168	#107	C₂²×D₇	1	1	yes	characteristic
1169	#106	—	7	1	no	—
1170	#106	—	7	1	no	—
1171	#106	—	7	1	no	—
1172	#106	—	7	1	no	—
1173	#106	—	7	1	no	—
1174	#106	—	7	1	no	—
1175	#106	—	7	1	no	—
1176	#106	—	7	1	no	—
1177	#106	C₂²×D₇	1	1	yes	characteristic
1178	#106	C₂²×D₇	1	1	yes	characteristic
1179	#106	C₂²×D₇	1	1	yes	characteristic
1180	#106	C₂²×D₇	1	1	yes	characteristic
1181	C₄⋊C₈	—	7	1	no	—
1182	C₄⋊C₈	—	7	1	no	—
1183	C₄⋊C₈	—	7	1	no	—
1184	C₄⋊C₈	—	7	1	no	—
1185	C₄⋊C₈	—	7	1	no	—
1186	C₄⋊C₈	—	7	1	no	—
1187	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1188	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1189	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1190	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1191	#103	—	7	1	no	—
1192	#103	—	7	1	no	—
1193	#103	—	7	1	no	—
1194	#103	—	7	1	no	—
1195	#103	—	7	1	no	—
1196	#103	—	7	1	no	—
1197	#103	—	7	1	no	—
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	#102	—	7	1	no	—
1212	#102	—	7	1	no	—
1213	#102	—	7	1	no	—
1214	#102	—	7	1	no	—
1215	#102	C₂²×D₇	1	1	yes	characteristic
1216	#102	C₂²×D₇	1	1	yes	characteristic
1217	#102	C₂²×D₇	1	1	yes	characteristic
1218	#102	C₂²×D₇	1	1	yes	characteristic
1219	#102	C₂²×D₇	1	1	yes	characteristic
1220	#102	C₂²×D₇	1	1	yes	characteristic
1221	#102	C₂²×D₇	1	1	yes	characteristic
1222	#102	C₂²×D₇	1	1	yes	characteristic
1223	C₂²⋊C₈	—	7	1	no	—
1224	C₂²⋊C₈	—	7	1	no	—
1225	C₂²⋊C₈	—	7	1	no	—
1226	C₂²⋊C₈	—	7	1	no	—
1227	C₂²⋊C₈	—	7	1	no	—
1228	C₂²⋊C₈	—	7	1	no	—
1229	#97	—	7	1	no	—
1230	#97	—	7	1	no	—
1231	#97	—	7	1	no	—
1232	#97	—	7	1	no	—
1233	C₄×C₈	—	7	1	no	—
1234	C₄×C₈	—	7	1	no	—
1235	C₂²×C₇	—	2	1	no	—
1236	C₂²×C₇	—	2	1	no	—
1237	C₂²×C₇	—	2	2	no	—
1238	C₂²×C₇	—	2	1	no	—
1239	C₂²×C₇	—	4	1	no	—
1240	C₂²×C₇	—	4	1	no	—
1241	C₂²×C₇	—	4	1	no	—
1242	C₂²×C₇	—	4	1	no	—
1243	C₂²×C₇	—	4	1	no	—
1244	C₂²×C₇	—	16	2	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	C₄×C₇	—	2	1	no	—
1253	C₄×C₇	—	2	1	no	—
1254	C₄×C₇	—	2	1	no	—
1255	C₄×C₇	—	2	1	no	—
1256	C₄×C₇	—	2	1	no	—
1257	C₄×C₇	—	4	1	no	—
1258	C₄×C₇	—	4	1	no	—
1259	C₄×C₇	—	4	1	no	—
1260	C₄×C₇	—	4	1	no	—
1261	C₄×C₇	—	4	1	no	—
1262	C₄×C₇	—	4	1	no	—
1263	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1264	C₄×C₇	#585	1	1	yes	characteristic
1265	Dic₇	—	2	1	no	—
1266	Dic₇	—	2	1	no	—
1267	Dic₇	—	2	1	no	—
1268	Dic₇	—	2	1	no	—
1269	Dic₇	—	2	1	no	—
1270	Dic₇	—	2	1	no	—
1271	Dic₇	—	4	1	no	—
1272	Dic₇	—	4	1	no	—
1273	Dic₇	—	4	1	no	—
1274	Dic₇	—	4	1	no	—
1275	Dic₇	—	4	1	no	—
1276	Dic₇	—	4	1	no	—
1277	Dic₇	—	4	1	no	—
1278	Dic₇	—	4	1	no	—
1279	C₂⁴	—	2	1	no	—
1280	#41	—	14	2	no	—
1281	#41	—	14	2	no	—
1282	#41	—	28	1	no	—
1283	#41	—	28	1	no	—
1284	C₂×Q₈	—	2	1	no	—
1285	C₂×Q₈	—	2	1	no	—
1286	C₂×Q₈	—	7	1	no	—
1287	C₂×Q₈	—	7	1	no	—
1288	C₂×Q₈	—	7	1	no	—
1289	C₂×Q₈	—	7	1	no	—
1290	C₂×Q₈	—	7	1	no	—
1291	C₂×Q₈	—	14	1	no	—
1292	C₂×Q₈	—	14	1	no	—
1293	C₂×Q₈	—	14	1	no	—
1294	C₂×Q₈	—	14	1	no	—
1295	C₂×D₄	—	2	2	no	—
1296	C₂×D₄	—	2	1	no	—
1297	C₂×D₄	—	4	1	no	—
1298	C₂×D₄	—	7	1	no	—
1299	C₂×D₄	—	7	1	no	—
1300	C₂×D₄	—	7	1	no	—
1301	C₂×D₄	—	14	1	no	—
1302	C₂×D₄	—	14	1	no	—
1303	C₂×D₄	—	14	1	no	—
1304	C₂×D₄	—	14	1	no	—
1305	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1306	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	2	1	no	—
1309	C₂²×C₄	—	2	1	no	—
1310	C₂²×C₄	—	2	1	no	—
1311	C₂²×C₄	—	2	1	no	—
1312	C₂²×C₄	—	7	1	no	—
1313	C₂²×C₄	—	7	1	no	—
1314	C₂²×C₄	—	7	1	no	—
1315	C₂²×C₄	—	7	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	—	14	1	no	—
1321	C₂²×C₄	—	14	1	no	—
1322	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1323	Q₁₆	—	28	1	no	—
1324	Q₁₆	—	28	1	no	—
1325	Q₁₆	—	28	1	no	—
1326	Q₁₆	—	28	1	no	—
1327	SD₁₆	—	14	2	no	—
1328	SD₁₆	—	14	2	no	—
1329	SD₁₆	—	28	1	no	—
1330	SD₁₆	—	28	1	no	—
1331	M₁₆	—	4	1	no	—
1332	M₁₆	—	28	1	no	—
1333	C₂×C₈	—	4	1	no	—
1334	C₂×C₈	—	7	1	no	—
1335	C₂×C₈	—	7	1	no	—
1336	C₂×C₈	—	7	1	no	—
1337	C₂×C₈	—	7	1	no	—
1338	C₂×C₈	—	28	1	no	—
1339	C₂×C₈	—	28	1	no	—
1340	C₂×C₈	—	28	1	no	—
1341	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1342	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1343	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1344	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	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	—	7	1	no	—
1361	C₄⋊C₄	—	7	1	no	—
1362	C₄⋊C₄	—	7	1	no	—
1363	C₄⋊C₄	—	7	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	—	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	D₄×D₇	1	1	yes	characteristic
1403	C₄⋊C₄	D₄×D₇	1	1	yes	characteristic
1404	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1405	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1406	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1407	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1408	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1409	C₄⋊C₄	C₂³×D₇	1	1	yes	characteristic
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	7	1	no	—
1417	C₂²⋊C₄	—	7	1	no	—
1418	C₂²⋊C₄	—	7	1	no	—
1419	C₂²⋊C₄	—	7	1	no	—
1420	C₂²⋊C₄	—	7	1	no	—
1421	C₂²⋊C₄	—	7	1	no	—
1422	C₂²⋊C₄	—	7	1	no	—
1423	C₂²⋊C₄	—	7	1	no	—
1424	C₂²⋊C₄	—	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	—	14	1	no	—
1430	C₂²⋊C₄	—	14	1	no	—
1431	C₂²⋊C₄	—	14	1	no	—
1432	C₂²⋊C₄	—	14	1	no	—
1433	C₂²⋊C₄	—	14	1	no	—
1434	C₂²⋊C₄	—	14	1	no	—
1435	C₂²⋊C₄	—	14	1	no	—
1436	C₂²⋊C₄	—	14	1	no	—
1437	C₂²⋊C₄	—	14	1	no	—
1438	C₂²⋊C₄	—	14	1	no	—
1439	C₂²⋊C₄	—	14	1	no	—
1440	C₂²⋊C₄	—	14	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	D₄×D₇	1	1	yes	characteristic
1447	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1448	C₄²	—	2	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	7	1	no	—
1451	C₄²	—	7	1	no	—
1452	C₄²	—	7	1	no	—
1453	C₄²	—	7	1	no	—
1454	C₄²	—	14	1	no	—
1455	C₄²	—	14	1	no	—
1456	C₄²	—	14	1	no	—
1457	C₄²	—	14	1	no	—
1458	C₄²	—	14	1	no	—
1459	C₄²	—	14	1	no	—
1460	C₄²	—	14	1	no	—
1461	C₄²	—	14	1	no	—
1462	C₄²	—	14	1	no	—
1463	C₄²	—	14	1	no	—
1464	C₄²	—	14	1	no	—
1465	C₄²	—	14	1	no	—
1466	C₄²	—	14	1	no	—
1467	C₄²	—	14	1	no	—
1468	C₄²	C₂³×D₇	1	1	yes	characteristic
1469	C₄²	C₂³×D₇	1	1	yes	characteristic
1470	C₂×C₇	—	4	1	no	—
1471	C₂×C₇	—	4	2	no	—
1472	C₂×C₇	—	8	1	no	—
1473	C₂×C₇	#3489	1	1	yes	characteristic
1474	C₂×C₇	#3584	1	1	yes	characteristic
1475	C₂×C₇	#3586	1	1	yes	characteristic
1476	D₇	—	4	1	no	—
1477	D₇	—	4	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	4	2	no	—
1481	C₂³	—	7	1	no	—
1482	C₂³	—	7	1	no	—
1483	C₂³	—	8	1	no	—
1484	C₂³	—	8	1	no	—
1485	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1486	Q₈	—	8	1	no	—
1487	Q₈	—	8	1	no	—
1488	Q₈	—	14	1	no	—
1489	Q₈	—	14	1	no	—
1490	Q₈	—	14	1	no	—
1491	Q₈	—	14	1	no	—
1492	Q₈	—	14	1	no	—
1493	Q₈	—	14	1	no	—
1494	Q₈	—	14	1	no	—
1495	Q₈	—	14	1	no	—
1496	Q₈	—	28	1	no	—
1497	Q₈	—	28	2	no	—
1498	Q₈	—	56	1	no	—
1499	Q₈	—	56	1	no	—
1500	Q₈	—	56	1	no	—
1501	D₄	—	2	1	no	—
1502	D₄	—	2	1	no	—
1503	D₄	—	2	1	no	—
1504	D₄	—	4	2	no	—
1505	D₄	—	28	1	no	—
1506	D₄	—	28	1	no	—
1507	D₄	—	28	1	no	—
1508	D₄	—	28	2	no	—
1509	D₄	—	28	2	no	—
1510	D₄	—	56	1	no	—
1511	D₄	—	56	1	no	—
1512	D₄	#6551	1	2	yes	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	7	1	no	—
1522	C₂×C₄	—	7	1	no	—
1523	C₂×C₄	—	7	1	no	—
1524	C₂×C₄	—	7	1	no	—
1525	C₂×C₄	—	7	1	no	—
1526	C₂×C₄	—	7	1	no	—
1527	C₂×C₄	—	8	1	no	—
1528	C₂×C₄	—	8	1	no	—
1529	C₂×C₄	—	8	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	8	1	no	—
1532	C₂×C₄	—	14	1	no	—
1533	C₂×C₄	—	14	1	no	—
1534	C₂×C₄	—	14	1	no	—
1535	C₂×C₄	—	14	1	no	—
1536	C₂×C₄	—	14	1	no	—
1537	C₂×C₄	—	14	1	no	—
1538	C₂×C₄	—	14	1	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	—	28	1	no	—
1545	C₂×C₄	—	28	1	no	—
1546	C₂×C₄	—	28	2	no	—
1547	C₂×C₄	—	28	2	no	—
1548	C₂×C₄	—	56	1	no	—
1549	C₂×C₄	—	56	1	no	—
1550	C₂×C₄	—	56	1	no	—
1551	C₂×C₄	—	56	1	no	—
1552	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1553	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1554	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1555	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1556	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1557	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	2	1	no	—
1561	C₈	—	2	1	no	—
1562	C₈	—	14	1	no	—
1563	C₈	—	14	1	no	—
1564	C₈	—	14	1	no	—
1565	C₈	—	14	1	no	—
1566	C₇	#62172	1	1	yes	characteristic, complemented, Sylow
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	1	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	14	1	no	—
1577	C₂²	—	14	1	no	—
1578	C₂²	—	14	1	no	—
1579	C₂²	—	14	1	no	—
1580	C₂²	—	14	1	no	—
1581	C₂²	—	14	1	no	—
1582	C₂²	—	16	2	no	—
1583	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	4	1	no	—
1590	C₄	—	4	1	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	14	1	no	—
1596	C₄	—	14	1	no	—
1597	C₄	—	14	1	no	—
1598	C₄	—	14	1	no	—
1599	C₄	—	14	1	no	—
1600	C₄	—	14	1	no	—
1601	C₄	—	28	1	no	—
1602	C₄	—	28	1	no	—
1603	C₄	—	28	1	no	—
1604	C₄	—	28	1	no	—
1605	C₄	—	28	1	no	—
1606	C₄	—	28	1	no	—
1607	C₄	—	28	1	no	—
1608	C₄	—	28	1	no	—
1609	C₄	C₂×#6551	1	1	yes	characteristic
1610	C₄	#90616	1	1	yes	characteristic
1611	C₂	—	4	1	no	—
1612	C₂	—	4	2	no	—
1613	C₂	—	8	1	no	—
1614	C₂	—	28	1	no	—
1615	C₂	—	28	1	no	—
1616	C₂	#11743053	1	1	yes	characteristic
1617	C₂	#11744271	1	1	yes	characteristic
1618	C₂	#11744276	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×#3081	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11742933	C₂
hypercenter	#3081	D₇
hypocenter	C₇	#62172
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3081

Complements

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

N	H ≅ G/N	type
1. #11743658	C₂	semidirect
3. C₇×#3081	C₂	semidirect
4. #11740926	C₂	semidirect
5. #11739990	C₂	semidirect
6. #11738639	C₂	semidirect
7. #11738635	C₂	semidirect
8. #11738628	C₂	semidirect
9. #11738620	C₂	semidirect
10. #11738610	C₂	semidirect
11. #11738605	C₂	semidirect
12. #11738600	C₂	semidirect
13. #11738590	C₂	semidirect
14. #11738536	C₂	semidirect
15. #11738529	C₂	semidirect
16. #11738508	C₂	semidirect
17. #11738492	C₂	semidirect
18. #11738426	C₂	semidirect
19. #11738421	C₂	semidirect
20. #11738419	C₂	semidirect
21. #11738405	C₂	semidirect
22. #11736674	C₂	semidirect
23. #11736669	C₂	semidirect
24. #11736639	C₂	semidirect
25. #11736636	C₂	semidirect
26. #11736547	C₂	semidirect
27. #11736527	C₂	semidirect
28. #11736380	C₂	semidirect
29. #11736380	C₂	semidirect
30. #11736208	C₂	semidirect
31. #11736204	C₂	semidirect
37. #90423	C₂²	semidirect
38. #90420	C₂²	semidirect
39. #90419	C₂²	semidirect
40. #90413	C₂²	semidirect
42. #90388	C₂²	semidirect
45. #90385	C₂²	semidirect
46. #90379	C₂²	semidirect
47. #90376	C₂²	semidirect
100. #89866	C₂²	semidirect
101. #89865	C₂²	semidirect
102. #89863	C₂²	semidirect
103. #89852	C₂²	semidirect
104. #89841	C₂²	semidirect
105. #89836	C₂²	semidirect
106. #89835	C₂²	semidirect
107. #89835	C₂²	semidirect
123. #89660	C₂²	semidirect
124. #89660	C₂²	semidirect
125. #89659	C₂²	semidirect
126. #89659	C₂²	semidirect
127. #89659	C₂²	semidirect
128. #89656	C₂²	semidirect
129. #89656	C₂²	semidirect
130. #89652	C₂²	semidirect
131. #89649	C₂²	semidirect
132. #89649	C₂²	semidirect
133. #89648	C₂²	semidirect
134. #89648	C₂²	semidirect
135. #89647	C₂²	semidirect
136. #89647	C₂²	semidirect
137. #89646	C₂²	semidirect
138. #89645	C₂²	semidirect
139. #89640	C₂²	semidirect
140. #89639	C₂²	semidirect
141. #89639	C₂²	semidirect
142. #89639	C₂²	semidirect
143. #89634	C₂²	semidirect
144. #89633	C₂²	semidirect
145. #89632	C₂²	semidirect
146. D₇×#106	C₂²	semidirect
147. #89629	C₂²	semidirect
148. #89628	C₂²	semidirect
149. #89626	C₂²	semidirect
150. #89626	C₂²	semidirect
151. #89626	C₂²	semidirect
152. #89625	C₂²	semidirect
153. #89625	C₂²	semidirect
154. #89625	C₂²	semidirect
155. #89621	C₂²	semidirect
156. #89621	C₂²	semidirect
157. #89621	C₂²	semidirect
158. #89621	C₂²	semidirect
159. #89612	C₂²	semidirect
160. #89611	C₂²	semidirect
161. #89608	C₂²	semidirect
162. #89607	C₂²	semidirect
163. #89606	C₂²	semidirect
164. D₇×C₄⋊C₈	C₂²	semidirect
165. #89603	C₂²	semidirect
166. #89601	C₂²	semidirect
167. #89601	C₂²	semidirect
168. #89601	C₂²	semidirect
169. #89601	C₂²	semidirect
170. #89600	C₂²	semidirect
507. #3081	D₇	semidirect
1566. C₇	#62172	semidirect

Maximal subgroups

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

subgroup	index
#11743658	2
#11742933	2
C₇×#3081	2
#11740926	2
#11739990	2
#11738639	2
#11738635	2
#11738628	2
#11738620	2
#11738610	2
#11738605	2
#11738600	2
#11738590	2
#11738536	2
#11738529	2
#11738508	2
#11738492	2
#11738426	2
#11738421	2
#11738419	2
#11738405	2
#11736674	2
#11736669	2
#11736639	2
#11736636	2
#11736547	2
#11736527	2
#11736380	2
#11736208	2
#11736204	2
#62172	7