Subgroups — #14226202

Order 1792.

1682 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₇×#544	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743619	C₂	1	1	yes	maximal, characteristic
3	C₇×#3244	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740926	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740900	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739425	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739419	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739341	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739337	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739135	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739126	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739093	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739084	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738962	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738949	C₂	1	1	yes	maximal, characteristic, complemented
16	D₇×#483	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738867	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738816	C₂	1	1	yes	maximal, characteristic
19	#11738808	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738770	C₂	1	1	yes	maximal, characteristic
21	#11738762	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738683	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738677	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738618	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738616	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738512	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738508	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738460	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738458	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736819	C₂	1	1	yes	maximal, characteristic, complemented
31	#11736808	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#542	C₂²	1	1	yes	characteristic
34	#90420	—	2	1	no	—
35	#90420	C₂²	1	1	yes	characteristic
36	#90420	C₂²	1	1	yes	characteristic
37	#90420	C₂²	1	1	yes	characteristic
38	#90419	C₂²	1	1	yes	characteristic
39	D₇×C₄⋊Q₈	—	2	1	no	—
40	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	D₇×C₄⋊Q₈	C₂²	1	1	yes	characteristic
42	#90399	—	2	1	no	—
43	#90399	—	2	1	no	—
44	#90380	—	2	1	no	—
45	#90380	C₂²	1	1	yes	characteristic
46	#90380	C₂²	1	1	yes	characteristic
47	D₇×#125	—	2	1	no	—
48	D₇×#125	C₂²	1	1	yes	characteristic
49	D₇×#125	C₂²	1	1	yes	characteristic
50	#90371	C₂²	1	1	yes	characteristic
51	#90370	—	2	1	no	—
52	#90366	C₂²	1	1	yes	characteristic
53	#90362	—	2	1	no	—
54	#90350	—	2	1	no	—
55	#90341	—	2	1	no	—
56	#90330	—	2	1	no	—
57	#90327	—	2	1	no	—
58	D₇×C₂²⋊Q₈	—	2	1	no	—
59	D₇×C₂²⋊Q₈	—	2	1	no	—
60	D₇×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
61	#90316	C₂²	1	1	yes	characteristic
62	#90314	—	2	1	no	—
63	#90314	—	2	1	no	—
64	#90297	C₂²	1	1	yes	characteristic
65	#90294	C₂²	1	1	yes	characteristic
66	#90269	C₂²	1	1	yes	characteristic
67	#90263	C₂²	1	1	yes	characteristic
68	#90248	C₂²	1	1	yes	characteristic
69	#90237	C₂²	1	1	yes	characteristic
70	D₇×#117	C₂²	1	1	yes	characteristic
71	D₇×#117	C₂²	1	1	yes	characteristic
72	#90210	C₂²	1	1	yes	characteristic
73	#90210	C₂²	1	1	yes	characteristic
74	#90209	C₂²	1	1	yes	characteristic
75	C₂×D₇×C₄⋊C₄	C₂²	1	1	yes	characteristic
76	#90191	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#498	C₂²	1	1	yes	characteristic, complemented
79	C₇×#489	C₂²	1	1	yes	characteristic, complemented
80	C₇×#488	C₂²	1	1	yes	characteristic, complemented
81	C₇×#485	C₂²	1	1	yes	characteristic
82	C₇×#483	C₂²	1	1	yes	characteristic
83	C₇×#482	C₂²	1	1	yes	characteristic
84	C₇×#481	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#478	C₂²	1	1	yes	characteristic, complemented
87	C₇×#476	C₂²	1	1	yes	characteristic, complemented
88	C₇×#475	C₂²	1	1	yes	characteristic, complemented
89	C₇×#433	C₂²	1	1	yes	characteristic
90	#89866	C₂²	1	1	yes	characteristic, complemented
91	#89865	C₂²	1	1	yes	characteristic, complemented
92	#89863	C₂²	1	1	yes	characteristic, complemented
93	#89852	C₂²	1	1	yes	characteristic, complemented
94	#89852	C₂²	1	1	yes	characteristic, complemented
95	#89851	C₂²	1	1	yes	characteristic, complemented
96	#89841	C₂²	1	1	yes	characteristic, complemented
97	#89836	C₂²	1	1	yes	characteristic, complemented
98	#89835	C₂²	1	1	yes	characteristic, complemented
99	#89835	C₂²	1	1	yes	characteristic, complemented
100	#89828	C₂²	1	1	yes	characteristic, complemented
101	#89827	C₂²	1	1	yes	characteristic, complemented
102	#89817	C₂²	1	1	yes	characteristic
103	#89815	C₂²	1	1	yes	characteristic
104	#89807	C₂²	1	1	yes	characteristic
105	#89806	C₂²	1	1	yes	characteristic
106	#89794	C₂²	1	1	yes	characteristic, complemented
107	#89792	C₂²	1	1	yes	characteristic, complemented
108	#89781	C₂²	1	1	yes	characteristic, complemented
109	#89780	C₂²	1	1	yes	characteristic, complemented
110	#89772	C₂²	1	1	yes	characteristic
111	#89768	C₂²	1	1	yes	characteristic
112	#89768	C₂²	1	1	yes	characteristic
113	#89743	C₂²	1	1	yes	characteristic
114	#89742	C₂²	1	1	yes	characteristic
115	#89656	C₂²	1	1	yes	characteristic
116	#89656	C₂²	1	1	yes	characteristic
117	#89653	C₂²	1	1	yes	characteristic
118	#89652	C₂²	1	1	yes	characteristic
119	#89650	C₂²	1	1	yes	characteristic, complemented
120	#89649	C₂²	1	1	yes	characteristic, complemented
121	#89649	C₂²	1	1	yes	characteristic, complemented
122	#89648	C₂²	1	1	yes	characteristic, complemented
123	#89634	C₂²	1	1	yes	characteristic
124	#89634	C₂²	1	1	yes	characteristic
125	#89634	C₂²	1	1	yes	characteristic
126	#89634	C₂²	1	1	yes	characteristic
127	#89634	C₂²	1	1	yes	characteristic
128	#89634	C₂²	1	1	yes	characteristic
129	#89633	C₂²	1	1	yes	characteristic
130	#89633	C₂²	1	1	yes	characteristic
131	#89633	C₂²	1	1	yes	characteristic
132	#89632	C₂²	1	1	yes	characteristic
133	D₇×#106	C₂²	1	1	yes	characteristic
134	D₇×#106	C₂²	1	1	yes	characteristic
135	#89630	C₂²	1	1	yes	characteristic, complemented
136	#89629	C₂²	1	1	yes	characteristic, complemented
137	#89629	C₂²	1	1	yes	characteristic, complemented
138	#89628	C₂²	1	1	yes	characteristic, complemented
139	#89628	C₂²	1	1	yes	characteristic, complemented
140	#89628	C₂²	1	1	yes	characteristic, complemented
141	#89627	C₂²	1	1	yes	characteristic, complemented
142	#89627	C₂²	1	1	yes	characteristic, complemented
143	#89626	C₂²	1	1	yes	characteristic, complemented
144	#89626	C₂²	1	1	yes	characteristic, complemented
145	#89626	C₂²	1	1	yes	characteristic, complemented
146	#89626	C₂²	1	1	yes	characteristic, complemented
147	#89623	C₂²	1	1	yes	characteristic, complemented
148	#89622	C₂²	1	1	yes	characteristic, complemented
149	#89611	C₂²	1	1	yes	characteristic
150	#89611	C₂²	1	1	yes	characteristic
151	#89607	C₂²	1	1	yes	characteristic
152	#89605	C₂²	1	1	yes	characteristic
153	#89601	C₂²	1	1	yes	characteristic, complemented
154	#89601	C₂²	1	1	yes	characteristic, complemented
155	#89581	C₂²	1	1	yes	characteristic
156	#89577	C₂²	1	1	yes	characteristic
157	#89577	C₂²	1	1	yes	characteristic
158	#89577	C₂²	1	1	yes	characteristic
159	#89574	C₂²	1	1	yes	characteristic
160	#89574	C₂²	1	1	yes	characteristic
161	D₇×#103	C₂²	1	1	yes	characteristic
162	D₇×#103	C₂²	1	1	yes	characteristic
163	#89571	C₂²	1	1	yes	characteristic, complemented
164	#89569	C₂²	1	1	yes	characteristic, complemented
165	#89569	C₂²	1	1	yes	characteristic, complemented
166	#89568	C₂²	1	1	yes	characteristic, complemented
167	#89566	C₂²	1	1	yes	characteristic, complemented
168	#89566	C₂²	1	1	yes	characteristic, complemented
169	#89564	C₂²	1	1	yes	characteristic, complemented
170	#89564	C₂²	1	1	yes	characteristic, complemented
171	#89549	C₂²	1	1	yes	characteristic
172	#89546	C₂²	1	1	yes	characteristic
173	#89546	C₂²	1	1	yes	characteristic
174	#89546	C₂²	1	1	yes	characteristic
175	#89544	C₂²	1	1	yes	characteristic
176	#89544	C₂²	1	1	yes	characteristic
177	#89543	C₂²	1	1	yes	characteristic
178	#89543	C₂²	1	1	yes	characteristic
179	#89540	C₂²	1	1	yes	characteristic, complemented
180	#89540	C₂²	1	1	yes	characteristic, complemented
181	#89538	C₂²	1	1	yes	characteristic, complemented
182	#89537	C₂²	1	1	yes	characteristic, complemented
183	#89537	C₂²	1	1	yes	characteristic, complemented
184	#89535	C₂²	1	1	yes	characteristic, complemented
185	#89533	C₂²	1	1	yes	characteristic, complemented
186	#89533	C₂²	1	1	yes	characteristic, complemented
187	#89498	C₂²	1	1	yes	characteristic
188	D₇×C₂²⋊C₈	C₂²	1	1	yes	characteristic
189	#89495	C₂²	1	1	yes	characteristic
190	#89495	C₂²	1	1	yes	characteristic
191	#89494	C₂²	1	1	yes	characteristic
192	#89493	C₂²	1	1	yes	characteristic
193	#89492	C₂²	1	1	yes	characteristic
194	#89492	C₂²	1	1	yes	characteristic
195	#89480	C₂²	1	1	yes	characteristic
196	#89477	C₂²	1	1	yes	characteristic
197	#89475	C₂²	1	1	yes	characteristic, complemented
198	#89474	C₂²	1	1	yes	characteristic, complemented
199	#89461	C₂²	1	1	yes	characteristic
200	#89457	C₂²	1	1	yes	characteristic
201	#89455	C₂²	1	1	yes	characteristic, complemented
202	#89453	C₂²	1	1	yes	characteristic, complemented
203	#60872	—	7	1	no	maximal, Sylow
204	C₂×Q₈×D₇	—	2	1	no	—
205	C₂×Q₈×D₇	—	2	1	no	—
206	C₂×Q₈×D₇	C₂³	1	1	yes	characteristic
207	C₂×#1159	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₇	—	2	1	no	—
209	C₂²×C₄×D₇	C₂³	1	1	yes	characteristic
210	C₇×C₄⋊Q₈	—	2	1	no	—
211	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₇×#126	—	2	1	no	—
215	C₇×#125	—	2	1	no	—
216	C₇×#125	C₂³	1	1	yes	characteristic
217	C₇×#125	C₂³	1	1	yes	characteristic
218	C₇×#124	—	2	1	no	—
219	C₇×#124	C₂³	1	1	yes	characteristic
220	C₇×#123	—	2	1	no	—
221	C₇×C₂²⋊Q₈	—	2	1	no	—
222	C₇×C₂²⋊Q₈	—	2	1	no	—
223	C₇×C₂²⋊Q₈	—	2	1	no	—
224	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₇×#121	C₂³	1	1	yes	characteristic
226	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₇×D₄	C₂³	1	1	yes	characteristic
228	C₇×#117	C₂³	1	1	yes	characteristic
229	C₇×#117	C₂³	1	1	yes	characteristic
230	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	#6509	—	2	1	no	—
232	#6509	—	2	1	no	—
233	#6509	—	2	1	no	—
234	#6509	—	2	1	no	—
235	#6509	C₂³	1	1	yes	characteristic
236	Q₈×Dic₇	—	2	1	no	—
237	Q₈×Dic₇	C₂³	1	1	yes	characteristic
238	#6507	—	2	1	no	—
239	#6507	—	2	1	no	—
240	#6507	—	2	1	no	—
241	#6507	—	2	1	no	—
242	#6507	—	2	1	no	—
243	#6507	C₂³	1	1	yes	characteristic
244	#6501	C₂³	1	1	yes	characteristic
245	#6500	—	2	1	no	—
246	#6499	—	2	1	no	—
247	#6499	C₂³	1	1	yes	characteristic
248	#6498	—	2	1	no	—
249	D₄×Dic₇	—	2	1	no	—
250	D₄×Dic₇	C₂³	1	1	yes	characteristic
251	C₄×C₂²⋊D₇	—	2	1	no	—
252	C₄×C₂²⋊D₇	—	2	1	no	—
253	#6489	—	2	1	no	—
254	#6489	C₂³	1	1	yes	characteristic
255	#6489	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₇	C₂³	1	1	yes	characteristic
257	#6487	—	2	1	no	—
258	#6487	—	2	1	no	—
259	#6487	C₂³	1	1	yes	characteristic
260	#6487	C₂³	1	1	yes	characteristic
261	C₂×Dic₇⋊C₄	—	2	1	no	—
262	C₂×Dic₇⋊C₄	—	2	1	no	—
263	C₂×#1131	C₂³	1	1	yes	characteristic
264	C₂×#1131	C₂³	1	1	yes	characteristic
265	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
266	C₂×C₈×D₇	C₂³	1	1	yes	characteristic
267	#6460	—	2	1	no	—
268	#6460	—	2	1	no	—
269	#6460	C₂³	1	1	yes	characteristic
270	#6460	C₂³	1	1	yes	characteristic
271	#6459	—	2	1	no	—
272	#6459	—	2	1	no	—
273	#6459	—	2	1	no	—
274	#6459	—	2	1	no	—
275	#6459	—	2	1	no	—
276	#6459	—	2	1	no	—
277	#6459	—	2	1	no	—
278	#6455	—	2	1	no	—
279	#6455	—	2	1	no	—
280	#6455	D₄	1	1	yes	characteristic
281	#6455	D₄	1	1	yes	characteristic
282	#6455	C₂³	1	1	yes	characteristic
283	#6455	C₂³	1	1	yes	characteristic
284	#6455	C₂³	1	1	yes	characteristic
285	D₇×C₄⋊C₄	—	2	1	no	—
286	D₇×C₄⋊C₄	—	2	1	no	—
287	D₇×C₄⋊C₄	—	2	1	no	—
288	D₇×C₄⋊C₄	—	2	1	no	—
289	D₇×C₄⋊C₄	—	2	1	no	—
290	D₇×C₄⋊C₄	—	2	1	no	—
291	D₇×C₄⋊C₄	—	2	1	no	—
292	D₇×C₄⋊C₄	—	2	1	no	—
293	D₇×C₄⋊C₄	—	2	1	no	—
294	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
295	D₇×C₄⋊C₄	D₄	1	1	yes	characteristic
296	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	D₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	#6453	—	2	1	no	—
304	#6453	—	2	1	no	—
305	#6453	—	2	1	no	—
306	#6453	—	2	1	no	—
307	#6453	C₂³	1	1	yes	characteristic
308	#6453	C₂³	1	1	yes	characteristic
309	#6453	C₂³	1	1	yes	characteristic
310	#6453	C₂³	1	1	yes	characteristic
311	#6453	C₂³	1	1	yes	characteristic
312	#6452	—	2	1	no	—
313	#6452	—	2	1	no	—
314	#6452	—	2	1	no	—
315	#6452	—	2	1	no	—
316	#6452	—	2	1	no	—
317	#6452	—	2	1	no	—
318	#6452	—	2	1	no	—
319	#6452	—	2	1	no	—
320	#6452	—	2	1	no	—
321	#6452	—	2	1	no	—
322	#6452	—	2	1	no	—
323	#6452	—	2	1	no	—
324	#6452	—	2	1	no	—
325	#6451	—	2	1	no	—
326	#6451	—	2	1	no	—
327	#6451	—	2	1	no	—
328	#6451	—	2	1	no	—
329	#6451	—	2	1	no	—
330	#6451	—	2	1	no	—
331	#6451	C₂³	1	1	yes	characteristic
332	#6451	C₂³	1	1	yes	characteristic
333	#6451	C₂³	1	1	yes	characteristic
334	#6451	C₂³	1	1	yes	characteristic
335	#6451	C₂³	1	1	yes	characteristic
336	#6450	—	2	1	no	—
337	#6450	C₂³	1	1	yes	characteristic
338	#6450	C₂³	1	1	yes	characteristic
339	#6446	—	2	1	no	—
340	#6446	—	2	1	no	—
341	#6446	—	2	1	no	—
342	#6446	—	2	1	no	—
343	#6446	—	2	1	no	—
344	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
345	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
346	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
347	D₇×C₂²⋊C₄	—	2	1	no	—
348	D₇×C₂²⋊C₄	—	2	1	no	—
349	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
350	D₇×C₂²⋊C₄	D₄	1	1	yes	characteristic
351	#6442	—	2	1	no	—
352	#6442	—	2	1	no	—
353	#6442	—	2	1	no	—
354	#6442	—	2	1	no	—
355	#6442	—	2	1	no	—
356	#6442	—	2	1	no	—
357	#6442	—	2	1	no	—
358	#6441	—	2	1	no	—
359	#6441	—	2	1	no	—
360	#6441	—	2	1	no	—
361	#6441	—	2	1	no	—
362	#6441	—	2	1	no	—
363	#6441	—	2	1	no	—
364	#6441	—	2	1	no	—
365	#6441	—	2	1	no	—
366	#6440	—	2	1	no	—
367	#6440	—	2	1	no	—
368	#6440	—	2	1	no	—
369	#6440	D₄	1	1	yes	characteristic
370	#6440	D₄	1	1	yes	characteristic
371	#6435	—	2	1	no	—
372	#6435	—	2	1	no	—
373	#6435	—	2	1	no	—
374	#6435	C₂³	1	1	yes	characteristic
375	#6435	C₂³	1	1	yes	characteristic
376	C₄²×D₇	—	2	1	no	—
377	C₄²×D₇	C₂³	1	1	yes	characteristic
378	C₄²×D₇	C₂³	1	1	yes	characteristic
379	#6433	—	2	1	no	—
380	#6433	C₂³	1	1	yes	characteristic
381	#6433	C₂³	1	1	yes	characteristic
382	#6433	C₂³	1	1	yes	characteristic
383	#6432	—	2	1	no	—
384	#6432	C₂³	1	1	yes	characteristic
385	#6432	C₂³	1	1	yes	characteristic
386	#6432	C₂³	1	1	yes	characteristic
387	C₄×Dic₁₄	—	2	1	no	—
388	C₄×Dic₁₄	—	2	1	no	—
389	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
390	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
391	C₇×#107	C₂³	1	1	yes	characteristic
392	C₇×#107	C₂³	1	1	yes	characteristic
393	C₇×#106	C₂³	1	1	yes	characteristic
394	C₇×#106	C₂³	1	1	yes	characteristic
395	C₇×#106	C₂³	1	1	yes	characteristic
396	C₇×#106	C₂³	1	1	yes	characteristic
397	C₇×#106	C₂³	1	1	yes	characteristic
398	C₇×#106	C₂³	1	1	yes	characteristic
399	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₇×#103	C₂³	1	1	yes	characteristic
402	C₇×#103	C₂³	1	1	yes	characteristic
403	C₇×#103	C₂³	1	1	yes	characteristic
404	C₇×#103	C₂³	1	1	yes	characteristic
405	C₇×#102	C₂³	1	1	yes	characteristic
406	C₇×#102	C₂³	1	1	yes	characteristic
407	C₇×#102	C₂³	1	1	yes	characteristic
408	C₇×#102	C₂³	1	1	yes	characteristic
409	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
410	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
411	C₇×#97	C₂³	1	1	yes	characteristic
412	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
413	#6409	C₂³	1	1	yes	characteristic
414	#6409	C₂³	1	1	yes	characteristic
415	#6409	C₂³	1	1	yes	characteristic
416	#6409	C₂³	1	1	yes	characteristic
417	#6406	C₂³	1	1	yes	characteristic
418	#6406	C₂³	1	1	yes	characteristic
419	#6406	C₂³	1	1	yes	characteristic
420	#6406	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
424	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
425	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
426	(C₂×D₇)⋊C₈	C₂³	1	1	yes	characteristic
427	#6392	C₂³	1	1	yes	characteristic
428	#6392	C₂³	1	1	yes	characteristic
429	#6392	C₂³	1	1	yes	characteristic
430	#6392	C₂³	1	1	yes	characteristic
431	#6391	C₂³	1	1	yes	characteristic
432	#6391	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	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
448	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
449	C₈×Dic₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	C₂³	1	1	yes	characteristic
451	#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	#6382	C₂³	1	1	yes	characteristic
460	#6382	C₂³	1	1	yes	characteristic
461	#6382	C₂³	1	1	yes	characteristic
462	#6382	C₂³	1	1	yes	characteristic
463	#6382	C₂³	1	1	yes	characteristic
464	#6382	C₂³	1	1	yes	characteristic
465	#6382	C₂³	1	1	yes	characteristic
466	#6382	C₂³	1	1	yes	characteristic
467	#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	#3495	—	7	1	no	—
480	C₂×#544	—	7	1	no	—
481	#3244	—	7	1	no	—
482	#3244	—	7	1	no	—
483	#3244	—	7	1	no	—
484	#3244	D₇	1	1	yes	characteristic, complemented
485	#3242	—	7	1	no	—
486	#3242	—	7	1	no	—
487	#3242	—	7	1	no	—
488	#3242	—	7	1	no	—
489	#3238	—	7	1	no	—
490	#3238	—	7	1	no	—
491	#3236	—	7	1	no	—
492	#3236	—	7	1	no	—
493	#3232	—	7	1	no	—
494	#3232	—	7	1	no	—
495	#3229	—	7	1	no	—
496	#3229	—	7	1	no	—
497	#3163	—	7	1	no	—
498	#3163	—	7	1	no	—
499	#3137	—	7	1	no	—
500	#3137	—	7	1	no	—
501	#3095	—	7	1	no	—
502	#3092	—	7	1	no	—
503	#3091	—	7	1	no	—
504	C₂×#483	—	7	1	no	—
505	#3084	—	7	1	no	—
506	#3084	—	7	1	no	—
507	#3082	—	7	1	no	—
508	#3082	—	7	1	no	—
509	#2924	—	7	1	no	—
510	C₂³×D₇	C₂×D₄	1	1	yes	characteristic
511	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	—	2	1	no	—
514	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₇×D₄	—	2	1	no	—
516	C₂×C₇×D₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₇	—	2	1	no	—
518	C₂²×C₄×C₇	—	2	1	no	—
519	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₇	—	2	1	no	—
521	C₂×C₂²⋊D₇	—	2	1	no	—
522	C₂²×Dic₇	—	2	1	no	—
523	C₂²×Dic₇	—	2	1	no	—
524	C₂²×Dic₇	—	2	1	no	—
525	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
526	Q₈×D₇	—	2	2	no	—
527	Q₈×D₇	—	2	2	no	—
528	Q₈×D₇	—	8	2	no	—
529	Q₈×D₇	—	8	2	no	—
530	#1159	—	2	2	no	—
531	#1159	—	2	2	no	—
532	C₂×C₄×D₇	—	2	2	no	—
533	C₂×C₄×D₇	—	2	2	no	—
534	C₂×C₄×D₇	—	2	1	no	—
535	C₂×C₄×D₇	—	2	1	no	—
536	C₂×C₄×D₇	—	2	1	no	—
537	C₂×C₄×D₇	—	2	1	no	—
538	C₂×C₄×D₇	—	2	1	no	—
539	C₂×C₄×D₇	—	2	1	no	—
540	C₂×C₄×D₇	—	2	1	no	—
541	C₂×C₄×D₇	—	2	1	no	—
542	C₂×C₄×D₇	—	8	2	no	—
543	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
544	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
545	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
546	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
547	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
548	C₂×C₄×D₇	C₂×D₄	1	1	yes	characteristic
549	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₇	C₂⁴	1	1	yes	characteristic
551	C₂×Dic₁₄	—	2	1	no	—
552	C₂×Dic₁₄	—	2	1	no	—
553	C₂×Dic₁₄	—	2	1	no	—
554	C₂×Dic₁₄	—	2	1	no	—
555	C₂×Dic₁₄	—	2	1	no	—
556	C₂×Dic₁₄	—	2	1	no	—
557	C₂×Dic₁₄	—	2	1	no	—
558	C₂×Dic₁₄	—	2	1	no	—
559	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
560	C₂×Dic₁₄	C₂⁴	1	1	yes	characteristic
561	C₂×C₇×C₈	C₂⁴	1	1	yes	characteristic
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	C₇×C₄⋊C₄	—	2	1	no	—
566	C₇×C₄⋊C₄	—	2	1	no	—
567	C₇×C₄⋊C₄	—	2	1	no	—
568	C₇×C₄⋊C₄	—	2	1	no	—
569	C₇×C₄⋊C₄	—	2	1	no	—
570	C₇×C₄⋊C₄	—	2	1	no	—
571	C₇×C₄⋊C₄	—	2	1	no	—
572	C₇×C₄⋊C₄	—	2	1	no	—
573	C₇×C₄⋊C₄	—	2	1	no	—
574	C₇×C₄⋊C₄	—	2	1	no	—
575	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
578	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₇×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
584	C₇×C₂²⋊C₄	—	2	1	no	—
585	C₇×C₂²⋊C₄	—	2	1	no	—
586	C₇×C₂²⋊C₄	—	2	1	no	—
587	C₇×C₂²⋊C₄	—	2	1	no	—
588	C₇×C₂²⋊C₄	—	2	1	no	—
589	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₄²×C₇	—	2	1	no	—
592	C₄²×C₇	—	2	1	no	—
593	C₄²×C₇	C₂⁴	1	1	yes	characteristic
594	C₄²×C₇	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
600	C₂²⋊Dic₇	—	2	1	no	—
601	C₂²⋊Dic₇	—	2	1	no	—
602	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
603	C₂²⋊Dic₇	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
611	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
612	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
613	(C₂×D₇)⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₄⋊Dic₇	—	2	1	no	—
615	C₄⋊Dic₇	—	2	1	no	—
616	C₄⋊Dic₇	—	2	1	no	—
617	C₄⋊Dic₇	—	2	1	no	—
618	C₄⋊Dic₇	—	2	1	no	—
619	C₄⋊Dic₇	—	2	1	no	—
620	C₄⋊Dic₇	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
628	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
629	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
630	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
631	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
632	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
633	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
634	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
635	Dic₇⋊C₄	—	2	1	no	—
636	Dic₇⋊C₄	—	2	1	no	—
637	Dic₇⋊C₄	—	2	1	no	—
638	Dic₇⋊C₄	—	2	1	no	—
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	—	2	1	no	—
666	Dic₇⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₇	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
685	C₄×Dic₇	C₂⁴	1	1	yes	characteristic
686	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
687	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
688	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
689	C₂×C₇⋊C₈	C₂⁴	1	1	yes	characteristic
690	#1131	—	2	2	no	—
691	#1131	—	2	2	no	—
692	C₈×D₇	—	2	2	no	—
693	C₈×D₇	—	2	2	no	—
694	#556	—	14	1	no	—
695	#554	—	14	1	no	—
696	#552	—	14	1	no	—
697	#552	—	14	1	no	—
698	#552	—	14	1	no	—
699	#552	—	14	1	no	—
700	#551	—	14	1	no	—
701	#551	—	14	1	no	—
702	#544	—	7	1	no	—
703	#544	—	7	1	no	—
704	#544	—	7	1	no	—
705	#544	—	7	1	no	—
706	#544	—	7	1	no	—
707	#544	—	7	1	no	—
708	#544	—	7	1	no	—
709	#544	—	7	1	no	—
710	#544	—	14	1	no	—
711	#544	—	14	1	no	—
712	#544	—	14	1	no	—
713	#544	—	14	1	no	—
714	#544	C₂×D₇	1	1	yes	characteristic
715	#542	—	7	1	no	—
716	#542	C₂×D₇	1	1	yes	characteristic
717	#541	—	7	1	no	—
718	#541	—	7	1	no	—
719	#536	—	7	1	no	—
720	#533	—	7	1	no	—
721	#533	—	7	1	no	—
722	C₂×C₄⋊Q₈	—	7	1	no	—
723	C₂×C₄⋊Q₈	—	7	1	no	—
724	C₂×C₄⋊Q₈	—	14	1	no	—
725	#529	—	7	1	no	—
726	#529	—	7	1	no	—
727	C₂×#125	—	7	1	no	—
728	C₂×#125	—	7	1	no	—
729	C₂×#125	—	14	1	no	—
730	#525	—	7	1	no	—
731	C₂×C₂²⋊Q₈	—	7	1	no	—
732	C₂×C₂²⋊Q₈	—	14	1	no	—
733	C₂×C₂²⋊Q₈	—	14	1	no	—
734	#520	—	7	1	no	—
735	#519	—	7	1	no	—
736	C₂×#117	—	7	1	no	—
737	C₂×#117	—	7	1	no	—
738	C₂²×C₄⋊C₄	—	7	1	no	—
739	#501	—	7	1	no	—
740	#501	—	7	1	no	—
741	#501	—	7	1	no	—
742	#501	—	7	1	no	—
743	#501	—	7	1	no	—
744	#501	—	7	1	no	—
745	#501	—	7	1	no	—
746	#501	C₂×D₇	1	1	yes	characteristic, complemented
747	#499	—	7	1	no	—
748	#499	—	7	1	no	—
749	#499	—	7	1	no	—
750	#499	—	7	1	no	—
751	#498	—	7	1	no	—
752	#498	—	7	1	no	—
753	#498	—	7	1	no	—
754	#498	C₂×D₇	1	1	yes	characteristic, complemented
755	#491	—	7	1	no	—
756	#491	—	7	1	no	—
757	#491	—	7	1	no	—
758	#491	—	7	1	no	—
759	#489	—	7	1	no	—
760	#489	—	7	1	no	—
761	#489	—	7	1	no	—
762	#489	C₂×D₇	1	1	yes	characteristic, complemented
763	#488	—	7	1	no	—
764	#488	—	7	1	no	—
765	#488	—	7	1	no	—
766	#488	C₂×D₇	1	1	yes	characteristic, complemented
767	#487	—	7	1	no	—
768	#487	—	7	1	no	—
769	#487	—	7	1	no	—
770	#487	—	7	1	no	—
771	#485	—	7	1	no	—
772	#485	—	7	1	no	—
773	#485	—	7	1	no	—
774	#485	—	7	1	no	—
775	#485	—	7	1	no	—
776	#485	C₂×D₇	1	1	yes	characteristic
777	#484	—	7	1	no	—
778	#484	—	7	1	no	—
779	#484	—	7	1	no	—
780	#484	—	7	1	no	—
781	#484	—	7	1	no	—
782	#483	—	7	1	no	—
783	#483	—	7	1	no	—
784	#483	—	7	1	no	—
785	#483	—	7	1	no	—
786	#483	—	7	1	no	—
787	#483	—	7	1	no	—
788	#483	—	7	1	no	—
789	#483	—	7	1	no	—
790	#483	—	7	1	no	—
791	#483	—	7	1	no	—
792	#483	—	7	1	no	—
793	#483	—	7	1	no	—
794	#483	C₂×D₇	1	1	yes	characteristic
795	#482	—	7	1	no	—
796	#482	C₂×D₇	1	1	yes	characteristic
797	#481	—	7	1	no	—
798	#481	—	7	1	no	—
799	#481	C₂×D₇	1	1	yes	characteristic
800	#480	—	7	1	no	—
801	#480	—	7	1	no	—
802	#480	—	7	1	no	—
803	#479	—	7	1	no	—
804	#479	—	7	1	no	—
805	#479	—	7	1	no	—
806	#479	—	7	1	no	—
807	#479	—	7	1	no	—
808	#479	—	7	1	no	—
809	#479	—	7	1	no	—
810	#479	—	7	1	no	—
811	#479	—	7	1	no	—
812	#479	—	7	1	no	—
813	#479	—	7	1	no	—
814	#479	C₂×D₇	1	1	yes	characteristic, complemented
815	#478	—	7	1	no	—
816	#478	—	7	1	no	—
817	#478	—	7	1	no	—
818	#478	C₂×D₇	1	1	yes	characteristic, complemented
819	#477	—	7	1	no	—
820	#477	—	7	1	no	—
821	#477	—	7	1	no	—
822	#477	—	7	1	no	—
823	#476	—	7	1	no	—
824	#476	—	7	1	no	—
825	#476	—	7	1	no	—
826	#476	C₂×D₇	1	1	yes	characteristic, complemented
827	#475	—	7	1	no	—
828	#475	—	7	1	no	—
829	#475	—	7	1	no	—
830	#475	—	7	1	no	—
831	#475	—	7	1	no	—
832	#475	—	7	1	no	—
833	#475	—	7	1	no	—
834	#475	C₂×D₇	1	1	yes	characteristic, complemented
835	#433	—	7	1	no	—
836	#433	—	7	1	no	—
837	#433	—	7	1	no	—
838	#433	C₂×D₇	1	1	yes	characteristic
839	#432	—	7	1	no	—
840	#432	—	7	1	no	—
841	#431	—	7	1	no	—
842	#431	—	7	1	no	—
843	#428	—	7	1	no	—
844	#428	—	7	1	no	—
845	#428	—	7	1	no	—
846	#428	—	7	1	no	—
847	#427	—	7	1	no	—
848	#427	—	7	1	no	—
849	C₂×#106	—	7	1	no	—
850	C₂×#106	—	7	1	no	—
851	#424	—	7	1	no	—
852	#424	—	7	1	no	—
853	#419	—	7	1	no	—
854	#419	—	7	1	no	—
855	#417	—	7	1	no	—
856	#417	—	7	1	no	—
857	#416	—	7	1	no	—
858	#416	—	7	1	no	—
859	C₂×#103	—	7	1	no	—
860	C₂×#103	—	7	1	no	—
861	#407	—	7	1	no	—
862	C₂×C₂²⋊C₈	—	7	1	no	—
863	#405	—	7	1	no	—
864	#405	—	7	1	no	—
865	C₂³×C₇	—	2	1	no	—
866	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
867	C₂²×D₇	—	2	2	no	—
868	C₂²×D₇	—	2	2	no	—
869	C₂²×D₇	—	4	1	no	—
870	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
871	C₂²×D₇	C₂²×D₄	1	1	yes	characteristic
872	C₇×Q₈	—	2	1	no	—
873	C₇×Q₈	—	2	1	no	—
874	C₇×Q₈	—	8	1	no	—
875	C₇×Q₈	—	8	1	no	—
876	C₇×Q₈	—	8	1	no	—
877	C₇×D₄	—	2	1	no	—
878	C₇×D₄	—	2	1	no	—
879	C₇×D₄	—	8	1	no	—
880	C₂×C₄×C₇	—	2	1	no	—
881	C₂×C₄×C₇	—	2	1	no	—
882	C₂×C₄×C₇	—	2	1	no	—
883	C₂×C₄×C₇	—	2	1	no	—
884	C₂×C₄×C₇	—	2	1	no	—
885	C₂×C₄×C₇	—	2	1	no	—
886	C₂×C₄×C₇	—	2	1	no	—
887	C₂×C₄×C₇	—	2	1	no	—
888	C₂×C₄×C₇	—	2	1	no	—
889	C₂×C₄×C₇	—	8	1	no	—
890	C₂×C₄×C₇	—	8	1	no	—
891	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
892	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
893	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
894	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
895	C₂×C₄×C₇	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₇	C₂⁵	1	1	yes	characteristic
897	C₂²⋊D₇	—	4	2	no	—
898	C₂²⋊D₇	—	4	2	no	—
899	C₂×Dic₇	—	2	2	no	—
900	C₂×Dic₇	—	2	1	no	—
901	C₂×Dic₇	—	2	1	no	—
902	C₂×Dic₇	—	2	1	no	—
903	C₂×Dic₇	—	2	1	no	—
904	C₂×Dic₇	—	2	1	no	—
905	C₂×Dic₇	—	2	1	no	—
906	C₂×Dic₇	—	2	1	no	—
907	C₂×Dic₇	—	2	1	no	—
908	C₂×Dic₇	—	4	2	no	—
909	C₂×Dic₇	—	8	1	no	—
910	C₂×Dic₇	—	8	1	no	—
911	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
912	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
913	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
914	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
915	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
916	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
917	C₄×D₇	—	2	2	no	—
918	C₄×D₇	—	2	2	no	—
919	C₄×D₇	—	2	2	no	—
920	C₄×D₇	—	2	1	no	—
921	C₄×D₇	—	2	1	no	—
922	C₄×D₇	—	2	2	no	—
923	C₄×D₇	—	4	1	no	—
924	C₄×D₇	—	4	1	no	—
925	C₄×D₇	—	4	2	no	—
926	C₄×D₇	—	4	2	no	—
927	C₄×D₇	—	4	2	no	—
928	C₄×D₇	—	4	2	no	—
929	C₄×D₇	—	4	2	no	—
930	C₄×D₇	—	8	1	no	—
931	C₄×D₇	—	8	1	no	—
932	C₄×D₇	—	8	1	no	—
933	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
934	C₄×D₇	2₋¹⁺⁴	1	2	yes	—
935	Dic₁₄	—	2	1	no	—
936	Dic₁₄	—	2	1	no	—
937	Dic₁₄	—	2	1	no	—
938	Dic₁₄	—	2	1	no	—
939	Dic₁₄	—	4	2	no	—
940	Dic₁₄	—	8	1	no	—
941	Dic₁₄	—	8	1	no	—
942	Dic₁₄	—	8	1	no	—
943	Dic₁₄	—	8	1	no	—
944	Dic₁₄	—	8	1	no	—
945	Dic₁₄	—	8	1	no	—
946	Dic₁₄	—	8	1	no	—
947	C₇×C₈	—	2	1	no	—
948	C₇×C₈	—	2	1	no	—
949	C₇×C₈	—	2	1	no	—
950	C₇×C₈	—	2	1	no	—
951	C₇⋊C₈	—	2	1	no	—
952	C₇⋊C₈	—	2	1	no	—
953	C₇⋊C₈	—	2	1	no	—
954	C₇⋊C₈	—	2	1	no	—
955	C₂×#41	—	7	1	no	—
956	C₂²×Q₈	—	7	1	no	—
957	C₂²×Q₈	—	14	1	no	—
958	C₂²×Q₈	—	14	1	no	—
959	C₂³×C₄	—	7	1	no	—
960	C₂³×C₄	—	14	1	no	—
961	C₂×M₁₆	—	7	1	no	—
962	C₂×M₁₆	—	7	1	no	—
963	C₂²×C₈	—	7	1	no	—
964	C₂²×C₈	—	7	1	no	—
965	C₄⋊Q₈	—	2	1	no	—
966	C₄⋊Q₈	—	7	1	no	—
967	C₄⋊Q₈	—	7	1	no	—
968	C₄⋊Q₈	—	7	1	no	—
969	C₄⋊Q₈	—	7	1	no	—
970	C₄⋊Q₈	—	7	1	no	—
971	C₄⋊Q₈	—	7	1	no	—
972	C₄⋊Q₈	—	7	1	no	—
973	C₄⋊Q₈	—	7	1	no	—
974	C₄⋊Q₈	—	7	1	no	—
975	C₄⋊Q₈	—	14	1	no	—
976	C₄⋊Q₈	—	14	1	no	—
977	C₄⋊Q₈	—	14	1	no	—
978	C₄⋊Q₈	—	14	1	no	—
979	C₄⋊Q₈	—	14	1	no	—
980	C₄⋊Q₈	—	14	1	no	—
981	C₄⋊Q₈	—	14	1	no	—
982	C₄⋊Q₈	—	14	1	no	—
983	C₄⋊Q₈	—	14	1	no	—
984	C₄⋊Q₈	—	14	1	no	—
985	C₄⋊Q₈	—	14	1	no	—
986	C₄⋊Q₈	—	14	1	no	—
987	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
988	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
989	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
990	#126	—	2	1	no	—
991	#126	—	14	1	no	—
992	#126	—	14	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	#125	—	2	1	no	—
999	#125	—	7	1	no	—
1000	#125	—	7	1	no	—
1001	#125	—	7	1	no	—
1002	#125	—	7	1	no	—
1003	#125	—	7	1	no	—
1004	#125	—	7	1	no	—
1005	#125	—	7	1	no	—
1006	#125	—	7	1	no	—
1007	#125	—	14	1	no	—
1008	#125	—	14	1	no	—
1009	#125	—	14	1	no	—
1010	#125	—	14	1	no	—
1011	#125	—	14	1	no	—
1012	#125	—	14	1	no	—
1013	#125	—	14	1	no	—
1014	#125	—	14	1	no	—
1015	#125	—	14	1	no	—
1016	#125	—	14	1	no	—
1017	#125	—	14	1	no	—
1018	#125	—	14	1	no	—
1019	#125	—	14	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	C₂²×D₇	1	1	yes	characteristic
1026	#125	C₂²×D₇	1	1	yes	characteristic
1027	#124	—	2	1	no	—
1028	#124	—	7	1	no	—
1029	#124	—	14	1	no	—
1030	#124	C₂²×D₇	1	1	yes	characteristic
1031	#123	—	2	1	no	—
1032	#123	—	14	1	no	—
1033	#123	—	14	1	no	—
1034	#123	—	14	1	no	—
1035	#123	—	14	1	no	—
1036	#123	—	14	1	no	—
1037	#123	—	14	1	no	—
1038	C₂²⋊Q₈	—	2	1	no	—
1039	C₂²⋊Q₈	—	2	1	no	—
1040	C₂²⋊Q₈	—	2	1	no	—
1041	C₂²⋊Q₈	—	7	1	no	—
1042	C₂²⋊Q₈	—	7	1	no	—
1043	C₂²⋊Q₈	—	7	1	no	—
1044	C₂²⋊Q₈	—	7	1	no	—
1045	C₂²⋊Q₈	—	7	1	no	—
1046	C₂²⋊Q₈	—	14	1	no	—
1047	C₂²⋊Q₈	—	14	1	no	—
1048	C₂²⋊Q₈	—	14	1	no	—
1049	C₂²⋊Q₈	—	14	1	no	—
1050	C₂²⋊Q₈	—	14	1	no	—
1051	C₂²⋊Q₈	—	14	1	no	—
1052	C₂²⋊Q₈	—	14	1	no	—
1053	C₂²⋊Q₈	—	14	1	no	—
1054	C₂²⋊Q₈	—	14	1	no	—
1055	C₂²⋊Q₈	—	14	1	no	—
1056	C₂²⋊Q₈	—	14	1	no	—
1057	C₂²⋊Q₈	—	14	1	no	—
1058	C₂²⋊Q₈	—	14	1	no	—
1059	C₂²⋊Q₈	—	14	1	no	—
1060	C₂²⋊Q₈	—	14	1	no	—
1061	C₂²⋊Q₈	—	14	1	no	—
1062	C₂²⋊Q₈	—	14	1	no	—
1063	C₂²⋊Q₈	—	14	1	no	—
1064	C₂²⋊Q₈	—	14	1	no	—
1065	C₂²⋊Q₈	—	14	1	no	—
1066	C₂²⋊Q₈	—	14	1	no	—
1067	C₂²⋊Q₈	—	14	1	no	—
1068	C₂²⋊Q₈	—	14	1	no	—
1069	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1070	#121	—	7	1	no	—
1071	#121	C₂²×D₇	1	1	yes	characteristic
1072	#120	—	14	1	no	—
1073	C₄×Q₈	—	7	1	no	—
1074	C₄×Q₈	—	7	1	no	—
1075	C₄×Q₈	—	7	1	no	—
1076	C₄×Q₈	—	7	1	no	—
1077	C₄×Q₈	—	7	1	no	—
1078	C₄×Q₈	—	14	1	no	—
1079	C₄×Q₈	—	14	1	no	—
1080	C₄×Q₈	—	14	1	no	—
1081	C₄×Q₈	—	14	1	no	—
1082	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1083	C₄×D₄	—	7	1	no	—
1084	C₄×D₄	—	14	1	no	—
1085	C₄×D₄	—	14	1	no	—
1086	C₄×D₄	—	14	1	no	—
1087	C₄×D₄	—	14	1	no	—
1088	C₄×D₄	—	14	1	no	—
1089	C₄×D₄	—	14	1	no	—
1090	C₄×D₄	C₂²×D₇	1	1	yes	characteristic
1091	#117	—	7	1	no	—
1092	#117	—	7	1	no	—
1093	#117	—	7	1	no	—
1094	#117	—	7	1	no	—
1095	#117	—	7	1	no	—
1096	#117	—	7	1	no	—
1097	#117	—	7	1	no	—
1098	#117	—	7	1	no	—
1099	#117	—	7	1	no	—
1100	#117	—	7	1	no	—
1101	#117	—	7	1	no	—
1102	#117	—	14	1	no	—
1103	#117	—	14	1	no	—
1104	#117	—	14	1	no	—
1105	#117	—	14	1	no	—
1106	#117	—	14	1	no	—
1107	#117	—	14	1	no	—
1108	#117	—	14	1	no	—
1109	#117	—	14	1	no	—
1110	#117	—	14	1	no	—
1111	#117	C₂²×D₇	1	1	yes	characteristic
1112	#117	C₂²×D₇	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	—	7	1	no	—
1114	C₂×C₄⋊C₄	—	7	1	no	—
1115	C₂×C₄⋊C₄	—	7	1	no	—
1116	C₂×C₄⋊C₄	—	7	1	no	—
1117	C₂×C₄⋊C₄	—	7	1	no	—
1118	C₂×C₄⋊C₄	—	7	1	no	—
1119	C₂×C₄⋊C₄	—	7	1	no	—
1120	C₂×C₄⋊C₄	—	7	1	no	—
1121	C₂×C₄⋊C₄	—	7	1	no	—
1122	C₂×C₄⋊C₄	—	7	1	no	—
1123	C₂×C₄⋊C₄	—	14	1	no	—
1124	C₂×C₄⋊C₄	—	14	1	no	—
1125	C₂×C₄⋊C₄	—	14	1	no	—
1126	C₂×C₄⋊C₄	—	14	1	no	—
1127	C₂×C₄⋊C₄	—	14	1	no	—
1128	C₂×C₄⋊C₄	—	14	1	no	—
1129	C₂×C₄⋊C₄	—	14	1	no	—
1130	C₂×C₄⋊C₄	—	14	1	no	—
1131	C₂×C₄⋊C₄	—	14	1	no	—
1132	C₂×C₄⋊C₄	—	14	1	no	—
1133	C₂×C₄⋊C₄	—	14	1	no	—
1134	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	—	7	1	no	—
1136	C₂×C₂²⋊C₄	—	7	1	no	—
1137	C₂×C₂²⋊C₄	—	14	1	no	—
1138	C₂×C₂²⋊C₄	—	14	1	no	—
1139	C₂×C₄²	—	7	1	no	—
1140	C₂×C₄²	—	7	1	no	—
1141	C₂×C₄²	—	14	1	no	—
1142	#107	—	7	1	no	—
1143	#107	—	7	1	no	—
1144	#107	—	7	1	no	—
1145	#107	—	7	1	no	—
1146	#107	—	7	1	no	—
1147	#107	—	7	1	no	—
1148	#107	—	7	1	no	—
1149	#107	—	7	1	no	—
1150	#107	—	7	1	no	—
1151	#107	—	7	1	no	—
1152	#107	C₂²×D₇	1	1	yes	characteristic
1153	#107	C₂²×D₇	1	1	yes	characteristic
1154	#106	—	7	1	no	—
1155	#106	—	7	1	no	—
1156	#106	—	7	1	no	—
1157	#106	—	7	1	no	—
1158	#106	—	7	1	no	—
1159	#106	—	7	1	no	—
1160	#106	—	7	1	no	—
1161	#106	—	7	1	no	—
1162	#106	—	7	1	no	—
1163	#106	—	7	1	no	—
1164	#106	—	7	1	no	—
1165	#106	—	7	1	no	—
1166	#106	—	7	1	no	—
1167	#106	—	7	1	no	—
1168	#106	C₂²×D₇	1	1	yes	characteristic
1169	#106	C₂²×D₇	1	1	yes	characteristic
1170	#106	C₂²×D₇	1	1	yes	characteristic
1171	#106	C₂²×D₇	1	1	yes	characteristic
1172	#106	C₂²×D₇	1	1	yes	characteristic
1173	#106	C₂²×D₇	1	1	yes	characteristic
1174	C₄⋊C₈	—	7	1	no	—
1175	C₄⋊C₈	—	7	1	no	—
1176	C₄⋊C₈	—	7	1	no	—
1177	C₄⋊C₈	—	7	1	no	—
1178	C₄⋊C₈	—	7	1	no	—
1179	C₄⋊C₈	—	7	1	no	—
1180	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1181	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1182	#103	—	7	1	no	—
1183	#103	—	7	1	no	—
1184	#103	—	7	1	no	—
1185	#103	—	7	1	no	—
1186	#103	—	7	1	no	—
1187	#103	—	7	1	no	—
1188	#103	—	7	1	no	—
1189	#103	—	7	1	no	—
1190	#103	—	7	1	no	—
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	C₂²×D₇	1	1	yes	characteristic
1203	#103	C₂²×D₇	1	1	yes	characteristic
1204	#103	C₂²×D₇	1	1	yes	characteristic
1205	#103	C₂²×D₇	1	1	yes	characteristic
1206	#102	—	7	1	no	—
1207	#102	—	7	1	no	—
1208	#102	—	7	1	no	—
1209	#102	—	7	1	no	—
1210	#102	C₂²×D₇	1	1	yes	characteristic
1211	#102	C₂²×D₇	1	1	yes	characteristic
1212	#102	C₂²×D₇	1	1	yes	characteristic
1213	#102	C₂²×D₇	1	1	yes	characteristic
1214	C₂²⋊C₈	—	7	1	no	—
1215	C₂²⋊C₈	—	7	1	no	—
1216	C₂²⋊C₈	—	7	1	no	—
1217	C₂²⋊C₈	—	7	1	no	—
1218	C₂²⋊C₈	—	7	1	no	—
1219	C₂²⋊C₈	—	7	1	no	—
1220	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1221	C₂²⋊C₈	C₂²×D₇	1	1	yes	characteristic
1222	#97	—	7	1	no	—
1223	#97	—	7	1	no	—
1224	#97	—	7	1	no	—
1225	#97	C₂²×D₇	1	1	yes	characteristic
1226	C₄×C₈	—	7	1	no	—
1227	C₄×C₈	—	7	1	no	—
1228	C₄×C₈	—	7	1	no	—
1229	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1230	C₂²×C₇	—	2	1	no	—
1231	C₂²×C₇	—	2	1	no	—
1232	C₂²×C₇	—	2	1	no	—
1233	C₂²×C₇	—	4	1	no	—
1234	C₂²×C₇	—	4	1	no	—
1235	C₂²×C₇	—	4	1	no	—
1236	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1237	C₂×D₇	—	2	1	no	—
1238	C₂×D₇	—	2	1	no	—
1239	C₂×D₇	—	2	1	no	—
1240	C₂×D₇	—	2	1	no	—
1241	C₂×D₇	—	4	4	no	—
1242	C₂×D₇	#536	1	2	yes	—
1243	C₂×D₇	#577	1	2	yes	—
1244	C₄×C₇	—	2	1	no	—
1245	C₄×C₇	—	2	1	no	—
1246	C₄×C₇	—	2	1	no	—
1247	C₄×C₇	—	2	1	no	—
1248	C₄×C₇	—	2	1	no	—
1249	C₄×C₇	—	4	1	no	—
1250	C₄×C₇	—	4	1	no	—
1251	C₄×C₇	—	4	1	no	—
1252	C₄×C₇	—	4	1	no	—
1253	C₄×C₇	—	4	1	no	—
1254	C₄×C₇	—	4	1	no	—
1255	C₄×C₇	—	4	1	no	—
1256	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1257	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1258	Dic₇	—	2	1	no	—
1259	Dic₇	—	2	1	no	—
1260	Dic₇	—	2	1	no	—
1261	Dic₇	—	2	1	no	—
1262	Dic₇	—	2	1	no	—
1263	Dic₇	—	4	1	no	—
1264	Dic₇	—	4	1	no	—
1265	Dic₇	—	4	1	no	—
1266	Dic₇	—	4	1	no	—
1267	Dic₇	—	4	1	no	—
1268	Dic₇	—	4	1	no	—
1269	Dic₇	—	4	1	no	—
1270	Dic₇	—	4	1	no	—
1271	Dic₇	#536	1	2	yes	—
1272	C₂⁴	—	7	1	no	—
1273	#41	—	14	2	no	—
1274	#41	—	14	2	no	—
1275	C₂×Q₈	—	2	1	no	—
1276	C₂×Q₈	—	2	1	no	—
1277	C₂×Q₈	—	2	1	no	—
1278	C₂×Q₈	—	7	1	no	—
1279	C₂×Q₈	—	7	1	no	—
1280	C₂×Q₈	—	14	1	no	—
1281	C₂×Q₈	—	14	1	no	—
1282	C₂×Q₈	—	14	1	no	—
1283	C₂×Q₈	—	14	1	no	—
1284	C₂×Q₈	—	14	1	no	—
1285	C₂×Q₈	—	14	1	no	—
1286	C₂×Q₈	—	14	2	no	—
1287	C₂×Q₈	—	14	2	no	—
1288	C₂×Q₈	—	14	1	no	—
1289	C₂×Q₈	—	14	1	no	—
1290	C₂×Q₈	—	56	2	no	—
1291	C₂×Q₈	—	56	2	no	—
1292	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1293	C₂×D₄	—	2	1	no	—
1294	C₂×D₄	—	14	1	no	—
1295	C₂×D₄	—	14	1	no	—
1296	C₂×D₄	C₂³×D₇	1	1	yes	characteristic
1297	C₂²×C₄	—	2	1	no	—
1298	C₂²×C₄	—	2	1	no	—
1299	C₂²×C₄	—	7	1	no	—
1300	C₂²×C₄	—	7	1	no	—
1301	C₂²×C₄	—	7	1	no	—
1302	C₂²×C₄	—	7	1	no	—
1303	C₂²×C₄	—	7	1	no	—
1304	C₂²×C₄	—	7	1	no	—
1305	C₂²×C₄	—	7	1	no	—
1306	C₂²×C₄	—	7	1	no	—
1307	C₂²×C₄	—	7	1	no	—
1308	C₂²×C₄	—	14	2	no	—
1309	C₂²×C₄	—	14	2	no	—
1310	C₂²×C₄	—	14	1	no	—
1311	C₂²×C₄	—	14	1	no	—
1312	C₂²×C₄	—	14	1	no	—
1313	C₂²×C₄	—	14	1	no	—
1314	C₂²×C₄	—	14	1	no	—
1315	C₂²×C₄	—	14	1	no	—
1316	C₂²×C₄	—	14	1	no	—
1317	C₂²×C₄	—	14	1	no	—
1318	C₂²×C₄	—	14	1	no	—
1319	C₂²×C₄	—	14	1	no	—
1320	C₂²×C₄	—	14	1	no	—
1321	C₂²×C₄	—	56	2	no	—
1322	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1323	M₁₆	—	14	2	no	—
1324	M₁₆	—	14	2	no	—
1325	C₂×C₈	—	7	1	no	—
1326	C₂×C₈	—	7	1	no	—
1327	C₂×C₈	—	7	1	no	—
1328	C₂×C₈	—	7	1	no	—
1329	C₂×C₈	—	14	2	no	—
1330	C₂×C₈	—	14	2	no	—
1331	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1332	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1333	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1334	C₂×C₈	C₂³×D₇	1	1	yes	characteristic
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	7	1	no	—
1346	C₄⋊C₄	—	7	1	no	—
1347	C₄⋊C₄	—	7	1	no	—
1348	C₄⋊C₄	—	7	1	no	—
1349	C₄⋊C₄	—	7	1	no	—
1350	C₄⋊C₄	—	7	1	no	—
1351	C₄⋊C₄	—	7	1	no	—
1352	C₄⋊C₄	—	7	1	no	—
1353	C₄⋊C₄	—	7	1	no	—
1354	C₄⋊C₄	—	7	1	no	—
1355	C₄⋊C₄	—	7	1	no	—
1356	C₄⋊C₄	—	7	1	no	—
1357	C₄⋊C₄	—	14	1	no	—
1358	C₄⋊C₄	—	14	1	no	—
1359	C₄⋊C₄	—	14	1	no	—
1360	C₄⋊C₄	—	14	1	no	—
1361	C₄⋊C₄	—	14	1	no	—
1362	C₄⋊C₄	—	14	1	no	—
1363	C₄⋊C₄	—	14	1	no	—
1364	C₄⋊C₄	—	14	1	no	—
1365	C₄⋊C₄	—	14	1	no	—
1366	C₄⋊C₄	—	14	1	no	—
1367	C₄⋊C₄	—	14	1	no	—
1368	C₄⋊C₄	—	14	1	no	—
1369	C₄⋊C₄	—	14	1	no	—
1370	C₄⋊C₄	—	14	1	no	—
1371	C₄⋊C₄	—	14	1	no	—
1372	C₄⋊C₄	—	14	1	no	—
1373	C₄⋊C₄	—	14	1	no	—
1374	C₄⋊C₄	—	14	1	no	—
1375	C₄⋊C₄	—	14	1	no	—
1376	C₄⋊C₄	—	14	1	no	—
1377	C₄⋊C₄	—	14	1	no	—
1378	C₄⋊C₄	—	14	1	no	—
1379	C₄⋊C₄	—	14	1	no	—
1380	C₄⋊C₄	—	14	1	no	—
1381	C₄⋊C₄	—	14	1	no	—
1382	C₄⋊C₄	—	14	1	no	—
1383	C₄⋊C₄	—	14	1	no	—
1384	C₄⋊C₄	—	14	1	no	—
1385	C₄⋊C₄	—	14	1	no	—
1386	C₄⋊C₄	—	14	1	no	—
1387	C₄⋊C₄	—	14	1	no	—
1388	C₄⋊C₄	—	14	1	no	—
1389	C₄⋊C₄	—	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	—	14	1	no	—
1423	C₂²⋊C₄	—	14	1	no	—
1424	C₂²⋊C₄	—	14	1	no	—
1425	C₂²⋊C₄	—	14	1	no	—
1426	C₂²⋊C₄	—	14	1	no	—
1427	C₂²⋊C₄	—	14	1	no	—
1428	C₂²⋊C₄	—	14	1	no	—
1429	C₂²⋊C₄	—	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	D₄×D₇	1	1	yes	characteristic
1436	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1437	C₄²	—	2	1	no	—
1438	C₄²	—	2	1	no	—
1439	C₄²	—	7	1	no	—
1440	C₄²	—	7	1	no	—
1441	C₄²	—	7	1	no	—
1442	C₄²	—	7	1	no	—
1443	C₄²	—	7	1	no	—
1444	C₄²	—	7	1	no	—
1445	C₄²	—	14	1	no	—
1446	C₄²	—	14	1	no	—
1447	C₄²	—	14	1	no	—
1448	C₄²	—	14	1	no	—
1449	C₄²	—	14	1	no	—
1450	C₄²	—	14	1	no	—
1451	C₄²	—	14	1	no	—
1452	C₄²	—	14	1	no	—
1453	C₄²	—	14	1	no	—
1454	C₄²	C₂³×D₇	1	1	yes	characteristic
1455	C₄²	C₂³×D₇	1	1	yes	characteristic
1456	C₂×C₇	—	4	1	no	—
1457	C₂×C₇	—	8	1	no	—
1458	C₂×C₇	C₂×#536	1	1	yes	characteristic
1459	C₂×C₇	C₂×#577	1	1	yes	characteristic
1460	C₂×C₇	#3586	1	1	yes	characteristic
1461	D₇	—	2	2	no	—
1462	D₇	—	2	2	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	7	1	no	—
1465	C₂³	—	7	1	no	—
1466	C₂³	—	14	2	no	—
1467	C₂³	—	14	2	no	—
1468	C₂³	—	28	1	no	—
1469	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1470	Q₈	—	2	1	no	—
1471	Q₈	—	2	1	no	—
1472	Q₈	—	8	1	no	—
1473	Q₈	—	8	1	no	—
1474	Q₈	—	8	1	no	—
1475	Q₈	—	14	1	no	—
1476	Q₈	—	14	1	no	—
1477	Q₈	—	14	1	no	—
1478	Q₈	—	14	1	no	—
1479	Q₈	—	28	2	no	—
1480	Q₈	—	56	1	no	—
1481	Q₈	—	56	1	no	—
1482	Q₈	—	56	1	no	—
1483	Q₈	—	56	1	no	—
1484	Q₈	—	56	1	no	—
1485	Q₈	—	56	1	no	—
1486	Q₈	—	56	1	no	—
1487	D₄	—	2	1	no	—
1488	D₄	—	2	1	no	—
1489	D₄	—	8	1	no	—
1490	D₄	—	28	2	no	—
1491	D₄	—	28	2	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	7	1	no	—
1502	C₂×C₄	—	7	2	no	—
1503	C₂×C₄	—	7	2	no	—
1504	C₂×C₄	—	7	1	no	—
1505	C₂×C₄	—	7	1	no	—
1506	C₂×C₄	—	7	1	no	—
1507	C₂×C₄	—	7	1	no	—
1508	C₂×C₄	—	7	1	no	—
1509	C₂×C₄	—	8	1	no	—
1510	C₂×C₄	—	8	1	no	—
1511	C₂×C₄	—	14	2	no	—
1512	C₂×C₄	—	14	2	no	—
1513	C₂×C₄	—	14	2	no	—
1514	C₂×C₄	—	14	2	no	—
1515	C₂×C₄	—	14	2	no	—
1516	C₂×C₄	—	14	1	no	—
1517	C₂×C₄	—	14	1	no	—
1518	C₂×C₄	—	14	1	no	—
1519	C₂×C₄	—	14	1	no	—
1520	C₂×C₄	—	14	1	no	—
1521	C₂×C₄	—	14	1	no	—
1522	C₂×C₄	—	14	1	no	—
1523	C₂×C₄	—	14	1	no	—
1524	C₂×C₄	—	14	1	no	—
1525	C₂×C₄	—	14	1	no	—
1526	C₂×C₄	—	28	1	no	—
1527	C₂×C₄	—	28	1	no	—
1528	C₂×C₄	—	28	2	no	—
1529	C₂×C₄	—	28	2	no	—
1530	C₂×C₄	—	28	2	no	—
1531	C₂×C₄	—	28	2	no	—
1532	C₂×C₄	—	28	2	no	—
1533	C₂×C₄	—	28	2	no	—
1534	C₂×C₄	—	56	1	no	—
1535	C₂×C₄	—	56	1	no	—
1536	C₂×C₄	—	56	1	no	—
1537	C₂×C₄	—	56	1	no	—
1538	C₂×C₄	—	56	1	no	—
1539	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1540	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1541	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1542	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1543	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1544	C₂×C₄	C₂⁴×D₇	1	1	yes	characteristic
1545	C₈	—	2	1	no	—
1546	C₈	—	2	1	no	—
1547	C₈	—	2	1	no	—
1548	C₈	—	2	1	no	—
1549	C₈	—	14	1	no	—
1550	C₈	—	14	1	no	—
1551	C₈	—	14	1	no	—
1552	C₈	—	14	1	no	—
1553	C₇	#60872	1	1	yes	characteristic, complemented, Sylow
1554	C₂²	—	2	1	no	—
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	4	1	no	—
1558	C₂²	—	4	1	no	—
1559	C₂²	—	4	1	no	—
1560	C₂²	—	7	2	no	—
1561	C₂²	—	7	2	no	—
1562	C₂²	—	14	1	no	—
1563	C₂²	—	14	1	no	—
1564	C₂²	—	14	1	no	—
1565	C₂²	—	14	1	no	—
1566	C₂²	—	28	4	no	—
1567	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1568	C₄	—	2	1	no	—
1569	C₄	—	2	1	no	—
1570	C₄	—	2	1	no	—
1571	C₄	—	2	1	no	—
1572	C₄	—	2	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	4	1	no	—
1580	C₄	—	7	2	no	—
1581	C₄	—	14	1	no	—
1582	C₄	—	14	1	no	—
1583	C₄	—	14	1	no	—
1584	C₄	—	14	1	no	—
1585	C₄	—	14	1	no	—
1586	C₄	—	28	1	no	—
1587	C₄	—	28	1	no	—
1588	C₄	—	28	1	no	—
1589	C₄	—	28	1	no	—
1590	C₄	—	28	1	no	—
1591	C₄	—	28	1	no	—
1592	C₄	—	28	1	no	—
1593	C₄	—	28	1	no	—
1594	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1595	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1596	C₂	—	4	1	no	—
1597	C₂	—	8	1	no	—
1598	C₂	—	14	2	no	—
1599	C₂	—	14	2	no	—
1600	C₂	D₇×#536	1	1	yes	characteristic
1601	C₂	D₇×#577	1	1	yes	characteristic
1602	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×#3244	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#90297	C₂²
hypercenter	#3244	D₇
hypocenter	C₇	#60872
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3244

Complements

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

N	H ≅ G/N	type
1. D₇×#544	C₂	semidirect
3. C₇×#3244	C₂	semidirect
4. #11740926	C₂	semidirect
5. #11740900	C₂	semidirect
6. #11739425	C₂	semidirect
7. #11739419	C₂	semidirect
8. #11739341	C₂	semidirect
9. #11739337	C₂	semidirect
10. #11739135	C₂	semidirect
11. #11739126	C₂	semidirect
12. #11739093	C₂	semidirect
13. #11739084	C₂	semidirect
14. #11738962	C₂	semidirect
15. #11738949	C₂	semidirect
16. D₇×#483	C₂	semidirect
17. #11738867	C₂	semidirect
19. #11738808	C₂	semidirect
21. #11738762	C₂	semidirect
22. #11738683	C₂	semidirect
23. #11738677	C₂	semidirect
24. #11738618	C₂	semidirect
25. #11738616	C₂	semidirect
26. #11738512	C₂	semidirect
27. #11738508	C₂	semidirect
28. #11738460	C₂	semidirect
29. #11738458	C₂	semidirect
30. #11736819	C₂	semidirect
31. #11736808	C₂	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#498	C₂²	semidirect
79. C₇×#489	C₂²	semidirect
80. C₇×#488	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#478	C₂²	semidirect
87. C₇×#476	C₂²	semidirect
88. C₇×#475	C₂²	semidirect
90. #89866	C₂²	semidirect
91. #89865	C₂²	semidirect
92. #89863	C₂²	semidirect
93. #89852	C₂²	semidirect
94. #89852	C₂²	semidirect
95. #89851	C₂²	semidirect
96. #89841	C₂²	semidirect
97. #89836	C₂²	semidirect
98. #89835	C₂²	semidirect
99. #89835	C₂²	semidirect
100. #89828	C₂²	semidirect
101. #89827	C₂²	semidirect
106. #89794	C₂²	semidirect
107. #89792	C₂²	semidirect
108. #89781	C₂²	semidirect
109. #89780	C₂²	semidirect
119. #89650	C₂²	semidirect
120. #89649	C₂²	semidirect
121. #89649	C₂²	semidirect
122. #89648	C₂²	semidirect
135. #89630	C₂²	semidirect
136. #89629	C₂²	semidirect
137. #89629	C₂²	semidirect
138. #89628	C₂²	semidirect
139. #89628	C₂²	semidirect
140. #89628	C₂²	semidirect
141. #89627	C₂²	semidirect
142. #89627	C₂²	semidirect
143. #89626	C₂²	semidirect
144. #89626	C₂²	semidirect
145. #89626	C₂²	semidirect
146. #89626	C₂²	semidirect
147. #89623	C₂²	semidirect
148. #89622	C₂²	semidirect
153. #89601	C₂²	semidirect
154. #89601	C₂²	semidirect
163. #89571	C₂²	semidirect
164. #89569	C₂²	semidirect
165. #89569	C₂²	semidirect
166. #89568	C₂²	semidirect
167. #89566	C₂²	semidirect
168. #89566	C₂²	semidirect
169. #89564	C₂²	semidirect
170. #89564	C₂²	semidirect
179. #89540	C₂²	semidirect
180. #89540	C₂²	semidirect
181. #89538	C₂²	semidirect
182. #89537	C₂²	semidirect
183. #89537	C₂²	semidirect
184. #89535	C₂²	semidirect
185. #89533	C₂²	semidirect
186. #89533	C₂²	semidirect
197. #89475	C₂²	semidirect
198. #89474	C₂²	semidirect
201. #89455	C₂²	semidirect
202. #89453	C₂²	semidirect
484. #3244	D₇	semidirect
746. #501	C₂×D₇	semidirect
754. #498	C₂×D₇	semidirect
762. #489	C₂×D₇	semidirect
766. #488	C₂×D₇	semidirect
814. #479	C₂×D₇	semidirect
818. #478	C₂×D₇	semidirect
826. #476	C₂×D₇	semidirect
834. #475	C₂×D₇	semidirect
1553. C₇	#60872	semidirect

Maximal subgroups

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

subgroup	index
D₇×#544	2
#11743619	2
C₇×#3244	2
#11740926	2
#11740900	2
#11739425	2
#11739419	2
#11739341	2
#11739337	2
#11739135	2
#11739126	2
#11739093	2
#11739084	2
#11738962	2
#11738949	2
D₇×#483	2
#11738867	2
#11738816	2
#11738808	2
#11738770	2
#11738762	2
#11738683	2
#11738677	2
#11738618	2
#11738616	2
#11738512	2
#11738508	2
#11738460	2
#11738458	2
#11736819	2
#11736808	2
#60872	7