Subgroups — #14244265

Order 1792.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11743667	C₂	1	1	yes	maximal, characteristic, complemented
2	#11743571	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇×#3242	C₂	1	1	yes	maximal, characteristic, complemented
4	#11740922	C₂	1	1	yes	maximal, characteristic, complemented
5	#11740892	C₂	1	1	yes	maximal, characteristic, complemented
6	#11739415	C₂	1	1	yes	maximal, characteristic, complemented
7	#11739409	C₂	1	1	yes	maximal, characteristic, complemented
8	#11739376	C₂	1	1	yes	maximal, characteristic, complemented
9	#11739357	C₂	1	1	yes	maximal, characteristic, complemented
10	#11739179	C₂	1	1	yes	maximal, characteristic, complemented
11	#11739179	C₂	1	1	yes	maximal, characteristic, complemented
12	#11739067	C₂	1	1	yes	maximal, characteristic, complemented
13	#11739066	C₂	1	1	yes	maximal, characteristic, complemented
14	#11738948	C₂	1	1	yes	maximal, characteristic, complemented
15	#11738946	C₂	1	1	yes	maximal, characteristic, complemented
16	#11738941	C₂	1	1	yes	maximal, characteristic, complemented
17	#11738941	C₂	1	1	yes	maximal, characteristic, complemented
18	#11738906	C₂	1	1	yes	maximal, characteristic, complemented
19	#11738898	C₂	1	1	yes	maximal, characteristic, complemented
20	#11738868	C₂	1	1	yes	maximal, characteristic, complemented
21	#11738860	C₂	1	1	yes	maximal, characteristic, complemented
22	#11738711	C₂	1	1	yes	maximal, characteristic, complemented
23	#11738666	C₂	1	1	yes	maximal, characteristic, complemented
24	#11738662	C₂	1	1	yes	maximal, characteristic, complemented
25	#11738662	C₂	1	1	yes	maximal, characteristic, complemented
26	#11738579	C₂	1	1	yes	maximal, characteristic, complemented
27	#11738548	C₂	1	1	yes	maximal, characteristic, complemented
28	#11738483	C₂	1	1	yes	maximal, characteristic, complemented
29	#11738453	C₂	1	1	yes	maximal, characteristic, complemented
30	#11736831	C₂	1	1	yes	maximal, characteristic
31	#11736804	C₂	1	1	yes	maximal, characteristic, complemented
32	C₇×#544	C₂²	1	1	yes	characteristic
33	C₇×#541	C₂²	1	1	yes	characteristic
34	#90423	C₂²	1	1	yes	characteristic, complemented
35	#90423	C₂²	1	1	yes	characteristic, complemented
36	#90421	—	2	1	no	—
37	#90421	C₂²	1	1	yes	characteristic
38	#90421	C₂²	1	1	yes	characteristic
39	#90418	—	2	1	no	—
40	#90418	C₂²	1	1	yes	characteristic
41	#90418	C₂²	1	1	yes	characteristic
42	#90401	—	2	1	no	—
43	#90401	—	2	1	no	—
44	#90398	—	2	1	no	—
45	#90398	—	2	1	no	—
46	#90390	—	2	1	no	—
47	#90390	—	2	1	no	—
48	#90385	—	2	1	no	—
49	#90385	—	2	1	no	—
50	#90381	—	2	1	no	—
51	#90381	—	2	1	no	—
52	#90381	C₂²	1	1	yes	characteristic
53	#90381	C₂²	1	1	yes	characteristic
54	#90381	C₂²	1	1	yes	characteristic
55	#90381	C₂²	1	1	yes	characteristic
56	#90381	C₂²	1	1	yes	characteristic, complemented
57	#90381	C₂²	1	1	yes	characteristic, complemented
58	#90334	C₂²	1	1	yes	characteristic
59	#90334	C₂²	1	1	yes	characteristic
60	#90325	—	2	1	no	—
61	#90325	—	2	1	no	—
62	D₇×C₂²⋊Q₈	—	2	1	no	—
63	D₇×C₂²⋊Q₈	—	2	1	no	—
64	#90315	C₂²	1	1	yes	characteristic
65	#90315	C₂²	1	1	yes	characteristic
66	#90276	C₂²	1	1	yes	characteristic, complemented
67	#90276	C₂²	1	1	yes	characteristic, complemented
68	#90260	C₂²	1	1	yes	characteristic, complemented
69	#90260	C₂²	1	1	yes	characteristic, complemented
70	#90226	C₂²	1	1	yes	characteristic
71	#90212	C₂²	1	1	yes	characteristic
72	#90212	C₂²	1	1	yes	characteristic
73	#90208	C₂²	1	1	yes	characteristic
74	#90208	C₂²	1	1	yes	characteristic
75	C₂×#6456	C₂²	1	1	yes	characteristic
76	#90191	C₂²	1	1	yes	characteristic
77	C₇×#501	C₂²	1	1	yes	characteristic, complemented
78	C₇×#499	C₂²	1	1	yes	characteristic, complemented
79	C₇×#491	C₂²	1	1	yes	characteristic, complemented
80	C₇×#487	C₂²	1	1	yes	characteristic, complemented
81	C₇×#485	C₂²	1	1	yes	characteristic
82	C₇×#485	C₂²	1	1	yes	characteristic
83	C₇×#484	C₂²	1	1	yes	characteristic
84	C₇×#483	C₂²	1	1	yes	characteristic
85	C₇×#479	C₂²	1	1	yes	characteristic, complemented
86	C₇×#479	C₂²	1	1	yes	characteristic, complemented
87	C₇×#477	C₂²	1	1	yes	characteristic, complemented
88	C₇×#475	C₂²	1	1	yes	characteristic, complemented
89	C₇×#433	C₂²	1	1	yes	characteristic
90	#89860	C₂²	1	1	yes	characteristic, complemented
91	#89859	C₂²	1	1	yes	characteristic, complemented
92	#89856	C₂²	1	1	yes	characteristic, complemented
93	#89855	C₂²	1	1	yes	characteristic
94	#89855	C₂²	1	1	yes	characteristic
95	#89852	C₂²	1	1	yes	characteristic, complemented
96	#89839	C₂²	1	1	yes	characteristic, complemented
97	#89838	C₂²	1	1	yes	characteristic
98	#89838	C₂²	1	1	yes	characteristic
99	#89838	C₂²	1	1	yes	characteristic, complemented
100	#89838	C₂²	1	1	yes	characteristic, complemented
101	#89836	C₂²	1	1	yes	characteristic, complemented
102	#89818	C₂²	1	1	yes	characteristic
103	#89818	C₂²	1	1	yes	characteristic
104	#89817	C₂²	1	1	yes	characteristic
105	#89817	C₂²	1	1	yes	characteristic
106	#89798	C₂²	1	1	yes	characteristic
107	#89798	C₂²	1	1	yes	characteristic
108	C₄×#1143	C₂²	1	1	yes	characteristic
109	C₄×#1143	C₂²	1	1	yes	characteristic
110	#89775	C₂²	1	1	yes	characteristic
111	#89775	C₂²	1	1	yes	characteristic
112	#89772	C₂²	1	1	yes	characteristic
113	#89740	C₂²	1	1	yes	characteristic
114	#89739	C₂²	1	1	yes	characteristic
115	#89663	C₂²	1	1	yes	characteristic
116	#89663	C₂²	1	1	yes	characteristic
117	#89663	C₂²	1	1	yes	characteristic, complemented
118	#89663	C₂²	1	1	yes	characteristic, complemented
119	#89662	C₂²	1	1	yes	characteristic
120	#89662	C₂²	1	1	yes	characteristic
121	#89662	C₂²	1	1	yes	characteristic, complemented
122	#89662	C₂²	1	1	yes	characteristic, complemented
123	#89650	C₂²	1	1	yes	characteristic, complemented
124	#89648	C₂²	1	1	yes	characteristic, complemented
125	#89648	C₂²	1	1	yes	characteristic, complemented
126	#89646	C₂²	1	1	yes	characteristic, complemented
127	#89644	C₂²	1	1	yes	characteristic
128	#89644	C₂²	1	1	yes	characteristic
129	#89644	C₂²	1	1	yes	characteristic
130	#89644	C₂²	1	1	yes	characteristic
131	#89643	C₂²	1	1	yes	characteristic
132	#89643	C₂²	1	1	yes	characteristic
133	#89643	C₂²	1	1	yes	characteristic, complemented
134	#89643	C₂²	1	1	yes	characteristic, complemented
135	#89642	C₂²	1	1	yes	characteristic
136	#89642	C₂²	1	1	yes	characteristic
137	#89642	C₂²	1	1	yes	characteristic, complemented
138	#89642	C₂²	1	1	yes	characteristic, complemented
139	#89641	C₂²	1	1	yes	characteristic
140	#89641	C₂²	1	1	yes	characteristic
141	#89641	C₂²	1	1	yes	characteristic
142	#89641	C₂²	1	1	yes	characteristic
143	#89630	C₂²	1	1	yes	characteristic, complemented
144	#89628	C₂²	1	1	yes	characteristic, complemented
145	#89628	C₂²	1	1	yes	characteristic, complemented
146	#89627	C₂²	1	1	yes	characteristic, complemented
147	#89619	C₂²	1	1	yes	characteristic
148	#89619	C₂²	1	1	yes	characteristic
149	#89615	C₂²	1	1	yes	characteristic
150	#89615	C₂²	1	1	yes	characteristic
151	#89603	C₂²	1	1	yes	characteristic, complemented
152	#89602	C₂²	1	1	yes	characteristic, complemented
153	#89600	C₂²	1	1	yes	characteristic, complemented
154	#89600	C₂²	1	1	yes	characteristic, complemented
155	#89591	C₂²	1	1	yes	characteristic
156	#89591	C₂²	1	1	yes	characteristic
157	#89591	C₂²	1	1	yes	characteristic
158	#89591	C₂²	1	1	yes	characteristic
159	#89591	C₂²	1	1	yes	characteristic
160	#89591	C₂²	1	1	yes	characteristic
161	#89591	C₂²	1	1	yes	characteristic
162	#89591	C₂²	1	1	yes	characteristic
163	#89589	C₂²	1	1	yes	characteristic
164	#89589	C₂²	1	1	yes	characteristic
165	#89589	C₂²	1	1	yes	characteristic
166	#89589	C₂²	1	1	yes	characteristic
167	#89572	C₂²	1	1	yes	characteristic, complemented
168	#89572	C₂²	1	1	yes	characteristic, complemented
169	#89572	C₂²	1	1	yes	characteristic, complemented
170	#89572	C₂²	1	1	yes	characteristic, complemented
171	#89571	C₂²	1	1	yes	characteristic, complemented
172	#89571	C₂²	1	1	yes	characteristic, complemented
173	#89568	C₂²	1	1	yes	characteristic, complemented
174	#89568	C₂²	1	1	yes	characteristic, complemented
175	#89567	C₂²	1	1	yes	characteristic, complemented
176	#89567	C₂²	1	1	yes	characteristic, complemented
177	#89567	C₂²	1	1	yes	characteristic, complemented
178	#89567	C₂²	1	1	yes	characteristic, complemented
179	#89566	C₂²	1	1	yes	characteristic, complemented
180	#89566	C₂²	1	1	yes	characteristic, complemented
181	#89563	C₂²	1	1	yes	characteristic, complemented
182	#89563	C₂²	1	1	yes	characteristic, complemented
183	#89560	C₂²	1	1	yes	characteristic
184	#89560	C₂²	1	1	yes	characteristic
185	#89560	C₂²	1	1	yes	characteristic
186	#89560	C₂²	1	1	yes	characteristic
187	#89509	C₂²	1	1	yes	characteristic
188	#89509	C₂²	1	1	yes	characteristic
189	#89504	C₂²	1	1	yes	characteristic
190	#89504	C₂²	1	1	yes	characteristic
191	#89492	C₂²	1	1	yes	characteristic
192	#89492	C₂²	1	1	yes	characteristic
193	#89491	C₂²	1	1	yes	characteristic
194	#89490	C₂²	1	1	yes	characteristic
195	#89483	C₂²	1	1	yes	characteristic
196	#89483	C₂²	1	1	yes	characteristic
197	#89473	C₂²	1	1	yes	characteristic, complemented
198	#89473	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₅₆	C₂²	1	1	yes	characteristic
200	C₄×D₅₆	C₂²	1	1	yes	characteristic
201	#89451	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
203	#61855	—	7	1	no	maximal, Sylow
204	C₂×Q₈×D₇	—	2	1	no	—
205	C₂×Q₈×D₇	—	2	1	no	—
206	C₂²×D₂₈	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₇	—	2	1	no	—
208	C₇×C₄⋊Q₈	—	2	1	no	—
209	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₇×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₇×#126	—	2	1	no	—
213	C₇×#126	—	2	1	no	—
214	C₇×#125	—	2	1	no	—
215	C₇×#125	—	2	1	no	—
216	C₇×#125	—	2	1	no	—
217	C₇×#125	C₂³	1	1	yes	characteristic
218	C₇×#125	C₂³	1	1	yes	characteristic
219	C₇×#125	C₂³	1	1	yes	characteristic
220	C₇×C₂²⋊Q₈	—	2	1	no	—
221	C₇×C₂²⋊Q₈	—	2	1	no	—
222	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₇×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₇×Q₈	C₂³	1	1	yes	characteristic
226	C₇×#117	C₂³	1	1	yes	characteristic
227	C₇×#117	C₂³	1	1	yes	characteristic
228	C₂×C₇×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	#6510	C₂³	1	1	yes	characteristic
230	#6510	C₂³	1	1	yes	characteristic
231	#6510	C₂³	1	1	yes	characteristic
232	#6510	C₂³	1	1	yes	characteristic
233	#6509	—	2	1	no	—
234	#6509	—	2	1	no	—
235	#6509	—	2	1	no	—
236	#6509	—	2	1	no	—
237	#6509	—	2	1	no	—
238	#6509	—	2	1	no	—
239	Q₈×Dic₇	C₂³	1	1	yes	characteristic
240	Q₈×Dic₇	C₂³	1	1	yes	characteristic
241	Q₈×Dic₇	C₂³	1	1	yes	characteristic
242	Q₈×Dic₇	C₂³	1	1	yes	characteristic
243	C₂×#1143	C₂³	1	1	yes	characteristic
244	C₂×#1143	C₂³	1	1	yes	characteristic
245	C₂×#1143	C₂³	1	1	yes	characteristic
246	C₂×#1143	C₂³	1	1	yes	characteristic
247	#6493	C₂³	1	1	yes	characteristic
248	#6493	C₂³	1	1	yes	characteristic
249	C₂×(C₂×D₇)⋊C₄	—	2	1	no	—
250	#6489	C₂³	1	1	yes	characteristic
251	#6489	C₂³	1	1	yes	characteristic
252	#6487	—	2	1	no	—
253	#6487	—	2	1	no	—
254	C₂×C₄×Dic₇	C₂³	1	1	yes	characteristic
255	C₂×D₅₆	C₂³	1	1	yes	characteristic
256	C₂×D₅₆	C₂³	1	1	yes	characteristic
257	C₂×D₅₆	C₂³	1	1	yes	characteristic
258	C₂×D₅₆	C₂³	1	1	yes	characteristic
259	#6461	—	2	1	no	—
260	#6461	—	2	1	no	—
261	#6461	—	2	1	no	—
262	#6461	—	2	1	no	—
263	#6461	—	2	1	no	—
264	#6461	—	2	1	no	—
265	#6461	—	2	1	no	—
266	#6461	—	2	1	no	—
267	#6460	—	2	1	no	—
268	#6460	—	2	1	no	—
269	#6460	—	2	1	no	—
270	#6460	—	2	1	no	—
271	#6460	—	2	1	no	—
272	#6460	—	2	1	no	—
273	#6460	—	2	1	no	—
274	#6460	—	2	1	no	—
275	#6460	—	2	1	no	—
276	#6460	—	2	1	no	—
277	#6460	—	2	1	no	—
278	#6460	—	2	1	no	—
279	#6459	—	2	1	no	—
280	#6459	—	2	1	no	—
281	#6459	—	2	1	no	—
282	#6459	—	2	1	no	—
283	#6459	—	2	1	no	—
284	#6459	—	2	1	no	—
285	#6459	—	2	1	no	—
286	#6459	—	2	1	no	—
287	#6459	—	2	1	no	—
288	#6459	—	2	1	no	—
289	#6459	—	2	1	no	—
290	#6459	—	2	1	no	—
291	#6459	—	2	1	no	—
292	#6459	—	2	1	no	—
293	#6459	—	2	1	no	—
294	#6459	—	2	1	no	—
295	#6457	—	2	1	no	—
296	#6457	—	2	1	no	—
297	#6457	—	2	1	no	—
298	#6457	—	2	1	no	—
299	#6457	—	2	1	no	—
300	#6457	—	2	1	no	—
301	#6456	—	2	1	no	—
302	#6456	—	2	1	no	—
303	#6456	—	2	1	no	—
304	#6456	—	2	1	no	—
305	#6456	C₂³	1	1	yes	characteristic
306	#6456	C₂³	1	1	yes	characteristic
307	#6456	C₂³	1	1	yes	characteristic
308	#6456	C₂³	1	1	yes	characteristic
309	#6456	C₂³	1	1	yes	characteristic
310	#6456	C₂³	1	1	yes	characteristic
311	#6456	C₂³	1	1	yes	characteristic
312	#6456	C₂³	1	1	yes	characteristic
313	#6456	C₂³	1	1	yes	characteristic
314	#6456	C₂³	1	1	yes	characteristic
315	#6456	C₂³	1	1	yes	characteristic
316	#6456	C₂³	1	1	yes	characteristic
317	#6455	—	2	1	no	—
318	#6455	—	2	1	no	—
319	#6455	—	2	1	no	—
320	#6455	—	2	1	no	—
321	D₇×C₄⋊C₄	—	2	1	no	—
322	D₇×C₄⋊C₄	—	2	1	no	—
323	D₇×C₄⋊C₄	—	2	1	no	—
324	D₇×C₄⋊C₄	—	2	1	no	—
325	D₇×C₄⋊C₄	—	2	1	no	—
326	D₇×C₄⋊C₄	—	2	1	no	—
327	D₇×C₄⋊C₄	—	2	1	no	—
328	D₇×C₄⋊C₄	—	2	1	no	—
329	#6453	—	2	1	no	—
330	#6453	—	2	1	no	—
331	#6453	—	2	1	no	—
332	#6453	D₄	1	1	yes	characteristic
333	#6453	D₄	1	1	yes	characteristic
334	#6453	C₂³	1	1	yes	characteristic
335	#6453	C₂³	1	1	yes	characteristic
336	#6453	C₂³	1	1	yes	characteristic
337	#6453	C₂³	1	1	yes	characteristic
338	#6453	C₂³	1	1	yes	characteristic
339	#6453	C₂³	1	1	yes	characteristic
340	#6451	—	2	1	no	—
341	#6451	—	2	1	no	—
342	#6451	—	2	1	no	—
343	#6451	D₄	1	1	yes	characteristic
344	#6451	D₄	1	1	yes	characteristic
345	#6451	C₂³	1	1	yes	characteristic
346	#6451	C₂³	1	1	yes	characteristic
347	#6451	C₂³	1	1	yes	characteristic
348	#6451	C₂³	1	1	yes	characteristic
349	#6451	C₂³	1	1	yes	characteristic
350	#6451	C₂³	1	1	yes	characteristic
351	#6449	—	2	1	no	—
352	#6449	—	2	1	no	—
353	#6448	—	2	1	no	—
354	#6448	—	2	1	no	—
355	#6447	—	2	1	no	—
356	#6447	—	2	1	no	—
357	#6446	—	2	1	no	—
358	#6446	—	2	1	no	—
359	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
360	(C₂²⋊D₇)⋊C₄	—	2	1	no	—
361	D₇×C₂²⋊C₄	—	2	1	no	—
362	D₇×C₂²⋊C₄	—	2	1	no	—
363	D₇×C₂²⋊C₄	—	2	1	no	—
364	D₇×C₂²⋊C₄	—	2	1	no	—
365	#6441	—	2	1	no	—
366	#6441	—	2	1	no	—
367	#6441	D₄	1	1	yes	characteristic
368	#6441	D₄	1	1	yes	characteristic
369	#6441	D₄	1	1	yes	characteristic
370	#6441	D₄	1	1	yes	characteristic
371	#6438	—	2	1	no	—
372	#6438	—	2	1	no	—
373	#6437	C₂³	1	1	yes	characteristic
374	C₄×D₂₈	—	2	1	no	—
375	C₄×D₂₈	—	2	1	no	—
376	C₄×D₂₈	—	2	1	no	—
377	C₄×D₂₈	—	2	1	no	—
378	C₄×D₂₈	C₂³	1	1	yes	characteristic
379	C₄×D₂₈	C₂³	1	1	yes	characteristic
380	C₄×D₂₈	C₂³	1	1	yes	characteristic
381	C₄×D₂₈	C₂³	1	1	yes	characteristic
382	C₄×D₂₈	C₂³	1	1	yes	characteristic
383	C₄×D₂₈	C₂³	1	1	yes	characteristic
384	#6433	—	2	1	no	—
385	#6433	—	2	1	no	—
386	#6433	C₂³	1	1	yes	characteristic
387	C₄×Dic₁₄	—	2	1	no	—
388	C₄×Dic₁₄	—	2	1	no	—
389	C₄×Dic₁₄	—	2	1	no	—
390	C₄×Dic₁₄	—	2	1	no	—
391	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
392	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₄	C₂³	1	1	yes	characteristic
395	C₇×#107	C₂³	1	1	yes	characteristic
396	C₇×#107	C₂³	1	1	yes	characteristic
397	C₇×#107	C₂³	1	1	yes	characteristic
398	C₇×#107	C₂³	1	1	yes	characteristic
399	C₇×#106	C₂³	1	1	yes	characteristic
400	C₇×#106	C₂³	1	1	yes	characteristic
401	C₇×#106	C₂³	1	1	yes	characteristic
402	C₇×#106	C₂³	1	1	yes	characteristic
403	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
404	C₇×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₇×#103	C₂³	1	1	yes	characteristic
406	C₇×#103	C₂³	1	1	yes	characteristic
407	C₇×#103	C₂³	1	1	yes	characteristic
408	C₇×#103	C₂³	1	1	yes	characteristic
409	C₇×#103	C₂³	1	1	yes	characteristic
410	C₇×#103	C₂³	1	1	yes	characteristic
411	C₇×#103	C₂³	1	1	yes	characteristic
412	C₇×#103	C₂³	1	1	yes	characteristic
413	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
414	C₇×C₂²⋊C₈	C₂³	1	1	yes	characteristic
415	C₇×#97	C₂³	1	1	yes	characteristic
416	C₄×C₇×C₈	C₂³	1	1	yes	characteristic
417	#6409	C₂³	1	1	yes	characteristic
418	#6409	C₂³	1	1	yes	characteristic
419	#6409	C₂³	1	1	yes	characteristic
420	#6409	C₂³	1	1	yes	characteristic
421	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
422	C₂²⋊(C₇⋊C₈)	C₂³	1	1	yes	characteristic
423	#6395	C₂³	1	1	yes	characteristic
424	#6395	C₂³	1	1	yes	characteristic
425	#6395	C₂³	1	1	yes	characteristic
426	#6395	C₂³	1	1	yes	characteristic
427	#6395	C₂³	1	1	yes	characteristic
428	#6395	C₂³	1	1	yes	characteristic
429	#6395	C₂³	1	1	yes	characteristic
430	#6395	C₂³	1	1	yes	characteristic
431	#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	#6389	C₂³	1	1	yes	characteristic
436	#6389	C₂³	1	1	yes	characteristic
437	#6389	C₂³	1	1	yes	characteristic
438	#6389	C₂³	1	1	yes	characteristic
439	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
440	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
441	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
442	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
443	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
444	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
445	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
446	Dic₇⋊C₈	C₂³	1	1	yes	characteristic
447	C₈×Dic₇	C₂³	1	1	yes	characteristic
448	C₈×Dic₇	C₂³	1	1	yes	characteristic
449	C₈×Dic₇	C₂³	1	1	yes	characteristic
450	C₈×Dic₇	C₂³	1	1	yes	characteristic
451	#6383	C₂³	1	1	yes	characteristic
452	#6383	C₂³	1	1	yes	characteristic
453	#6383	C₂³	1	1	yes	characteristic
454	#6383	C₂³	1	1	yes	characteristic
455	#6383	C₂³	1	1	yes	characteristic
456	#6383	C₂³	1	1	yes	characteristic
457	#6383	C₂³	1	1	yes	characteristic
458	#6383	C₂³	1	1	yes	characteristic
459	#6383	C₂³	1	1	yes	characteristic
460	#6383	C₂³	1	1	yes	characteristic
461	#6383	C₂³	1	1	yes	characteristic
462	#6383	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	#3557	—	7	1	no	—
480	#3501	—	7	1	no	—
481	#3389	—	7	1	no	—
482	#3389	—	7	1	no	—
483	#3388	—	7	1	no	—
484	#3388	—	7	1	no	—
485	#3386	—	7	1	no	—
486	#3384	—	7	1	no	—
487	#3381	—	7	1	no	—
488	#3380	—	7	1	no	—
489	#3376	—	7	1	no	—
490	#3376	—	7	1	no	—
491	#3373	—	7	1	no	—
492	#3370	—	7	1	no	—
493	#3370	—	7	1	no	—
494	#3367	—	7	1	no	—
495	#3361	—	7	1	no	—
496	#3360	—	7	1	no	—
497	#3244	—	7	1	no	—
498	#3243	—	7	1	no	—
499	#3242	D₇	1	1	yes	characteristic, complemented
500	#3241	—	7	1	no	—
501	#3240	—	7	1	no	—
502	#3233	—	7	1	no	—
503	#3123	—	7	1	no	—
504	#3122	—	7	1	no	—
505	#3118	—	7	1	no	—
506	#3118	—	7	1	no	—
507	#3114	—	7	1	no	—
508	#3105	—	7	1	no	—
509	#2985	—	7	1	no	—
510	C₂³×D₇	—	2	1	no	—
511	C₂×C₇×Q₈	—	2	1	no	—
512	C₂×C₇×Q₈	—	2	1	no	—
513	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₇×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₇	—	2	1	no	—
516	C₂²×C₄×C₇	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₇	—	2	1	no	—
518	C₂×C₂²⋊D₇	—	2	1	no	—
519	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
520	C₂²×Dic₇	C₂×D₄	1	1	yes	characteristic
521	Q₈×D₇	—	8	2	no	—
522	Q₈×D₇	—	8	2	no	—
523	C₂×D₂₈	—	2	1	no	—
524	C₂×D₂₈	—	2	2	no	—
525	C₂×D₂₈	—	2	2	no	—
526	C₂×D₂₈	—	2	1	no	—
527	C₂×D₂₈	—	2	1	no	—
528	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
529	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
530	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
531	C₂×D₂₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₄×D₇	—	2	1	no	—
533	C₂×C₄×D₇	—	2	1	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	—	2	1	no	—
543	C₂×C₄×D₇	—	2	1	no	—
544	C₂×C₄×D₇	—	2	1	no	—
545	C₂×C₄×D₇	—	2	1	no	—
546	C₂×C₄×D₇	—	2	1	no	—
547	C₂×C₄×D₇	—	2	1	no	—
548	C₂×C₄×D₇	—	2	1	no	—
549	C₂×C₄×D₇	—	2	1	no	—
550	C₂×C₄×D₇	—	8	2	no	—
551	C₂×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	C₂×D₄	1	1	yes	characteristic
558	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
559	C₂×Dic₁₄	C₂×D₄	1	1	yes	characteristic
560	C₂×Dic₁₄	C₂×D₄	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	—	2	1	no	—
576	C₇×C₄⋊C₄	—	2	1	no	—
577	C₇×C₄⋊C₄	—	2	1	no	—
578	C₇×C₄⋊C₄	—	2	1	no	—
579	C₇×C₄⋊C₄	—	2	1	no	—
580	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
581	C₇×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₇×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₇×C₂²⋊C₄	—	2	1	no	—
589	C₇×C₂²⋊C₄	—	2	1	no	—
590	C₇×C₂²⋊C₄	—	2	1	no	—
591	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₇×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₄²×C₇	—	2	1	no	—
594	C₄²×C₇	—	2	1	no	—
595	C₄²×C₇	—	2	1	no	—
596	C₄²×C₇	C₂⁴	1	1	yes	characteristic
597	C₄²×C₇	C₂⁴	1	1	yes	characteristic
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	#1143	—	2	2	no	—
602	#1143	—	2	2	no	—
603	#1143	—	2	2	no	—
604	#1143	—	2	2	no	—
605	(C₂×D₇)⋊C₄	—	2	1	no	—
606	(C₂×D₇)⋊C₄	—	2	1	no	—
607	(C₂×D₇)⋊C₄	—	2	1	no	—
608	(C₂×D₇)⋊C₄	—	2	1	no	—
609	(C₂×D₇)⋊C₄	—	2	1	no	—
610	(C₂×D₇)⋊C₄	—	2	1	no	—
611	(C₂×D₇)⋊C₄	—	2	1	no	—
612	(C₂×D₇)⋊C₄	—	2	1	no	—
613	(C₂×D₇)⋊C₄	—	2	1	no	—
614	(C₂×D₇)⋊C₄	—	2	1	no	—
615	(C₂×D₇)⋊C₄	—	2	1	no	—
616	(C₂×D₇)⋊C₄	—	2	1	no	—
617	(C₂×D₇)⋊C₄	—	2	1	no	—
618	(C₂×D₇)⋊C₄	—	2	1	no	—
619	(C₂×D₇)⋊C₄	—	2	1	no	—
620	(C₂×D₇)⋊C₄	—	2	1	no	—
621	(C₂×D₇)⋊C₄	—	2	1	no	—
622	(C₂×D₇)⋊C₄	—	2	1	no	—
623	(C₂×D₇)⋊C₄	—	2	1	no	—
624	(C₂×D₇)⋊C₄	—	2	1	no	—
625	(C₂×D₇)⋊C₄	—	2	1	no	—
626	(C₂×D₇)⋊C₄	—	2	1	no	—
627	(C₂×D₇)⋊C₄	—	2	1	no	—
628	(C₂×D₇)⋊C₄	—	2	1	no	—
629	(C₂×D₇)⋊C₄	—	2	1	no	—
630	(C₂×D₇)⋊C₄	—	2	1	no	—
631	(C₂×D₇)⋊C₄	—	2	1	no	—
632	(C₂×D₇)⋊C₄	—	2	1	no	—
633	C₄⋊Dic₇	—	2	1	no	—
634	C₄⋊Dic₇	—	2	1	no	—
635	C₄⋊Dic₇	—	2	1	no	—
636	C₄⋊Dic₇	—	2	1	no	—
637	C₄⋊Dic₇	—	2	1	no	—
638	C₄⋊Dic₇	—	2	1	no	—
639	C₄⋊Dic₇	—	2	1	no	—
640	C₄⋊Dic₇	—	2	1	no	—
641	C₄⋊Dic₇	—	2	1	no	—
642	C₄⋊Dic₇	—	2	1	no	—
643	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
646	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
647	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
648	C₄⋊Dic₇	C₂×D₄	1	1	yes	characteristic
649	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
650	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₇	C₂⁴	1	1	yes	characteristic
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	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
672	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
673	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
674	Dic₇⋊C₄	C₂×D₄	1	1	yes	characteristic
675	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	C₂⁴	1	1	yes	characteristic
683	C₄×Dic₇	C₂⁴	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	D₅₆	—	2	2	no	—
691	D₅₆	—	2	2	no	—
692	D₅₆	—	2	2	no	—
693	D₅₆	—	2	2	no	—
694	#563	—	14	1	no	—
695	#563	—	14	1	no	—
696	#559	—	7	1	no	—
697	#559	—	7	1	no	—
698	#557	—	7	1	no	—
699	#557	—	7	1	no	—
700	#556	—	7	1	no	—
701	#556	—	7	1	no	—
702	#554	—	7	1	no	—
703	#554	—	7	1	no	—
704	#554	—	7	1	no	—
705	#554	—	7	1	no	—
706	#554	—	7	1	no	—
707	#554	—	7	1	no	—
708	#554	—	7	1	no	—
709	#554	—	7	1	no	—
710	#554	—	14	1	no	—
711	#554	—	14	1	no	—
712	#554	—	14	1	no	—
713	#552	—	14	1	no	—
714	#552	—	14	1	no	—
715	D₄×Q₈	—	7	1	no	—
716	D₄×Q₈	—	7	1	no	—
717	D₄×Q₈	—	14	1	no	—
718	#544	—	7	1	no	—
719	#544	C₂×D₇	1	1	yes	characteristic
720	#543	—	14	1	no	—
721	#543	—	14	1	no	—
722	#542	—	7	1	no	—
723	#542	—	7	1	no	—
724	#542	—	14	1	no	—
725	#542	—	14	1	no	—
726	#541	C₂×D₇	1	1	yes	characteristic
727	#540	—	7	1	no	—
728	#539	—	14	1	no	—
729	#539	—	14	1	no	—
730	#533	—	7	1	no	—
731	#533	—	7	1	no	—
732	#529	—	7	1	no	—
733	#529	—	7	1	no	—
734	C₂×C₂²⋊Q₈	—	14	1	no	—
735	C₂×C₂²⋊Q₈	—	14	1	no	—
736	#518	—	7	1	no	—
737	#518	—	7	1	no	—
738	C₂×C₄×D₄	—	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	C₂×D₇	1	1	yes	characteristic, complemented
745	#500	—	7	1	no	—
746	#499	—	7	1	no	—
747	#499	—	7	1	no	—
748	#499	—	7	1	no	—
749	#499	C₂×D₇	1	1	yes	characteristic, complemented
750	#498	—	7	1	no	—
751	#491	C₂×D₇	1	1	yes	characteristic, complemented
752	#490	—	7	1	no	—
753	#489	—	7	1	no	—
754	#489	—	7	1	no	—
755	#489	—	7	1	no	—
756	#489	—	7	1	no	—
757	#488	—	7	1	no	—
758	#488	—	7	1	no	—
759	#488	—	7	1	no	—
760	#488	—	7	1	no	—
761	#487	C₂×D₇	1	1	yes	characteristic, complemented
762	#486	—	7	1	no	—
763	#485	—	7	1	no	—
764	#485	—	7	1	no	—
765	#485	C₂×D₇	1	1	yes	characteristic
766	#485	C₂×D₇	1	1	yes	characteristic
767	#484	C₂×D₇	1	1	yes	characteristic
768	#483	C₂×D₇	1	1	yes	characteristic
769	#482	—	7	1	no	—
770	#482	—	7	1	no	—
771	#482	—	7	1	no	—
772	#482	—	7	1	no	—
773	#481	—	7	1	no	—
774	#480	—	7	1	no	—
775	#479	—	7	1	no	—
776	#479	—	7	1	no	—
777	#479	—	7	1	no	—
778	#479	—	7	1	no	—
779	#479	C₂×D₇	1	1	yes	characteristic, complemented
780	#479	C₂×D₇	1	1	yes	characteristic, complemented
781	#478	—	7	1	no	—
782	#478	—	7	1	no	—
783	#478	—	7	1	no	—
784	#478	—	7	1	no	—
785	#478	—	7	1	no	—
786	#478	—	7	1	no	—
787	#478	—	7	1	no	—
788	#478	—	7	1	no	—
789	#478	—	7	1	no	—
790	#478	—	7	1	no	—
791	#478	—	7	1	no	—
792	#478	—	7	1	no	—
793	#478	—	7	1	no	—
794	#478	—	7	1	no	—
795	#477	—	7	1	no	—
796	#477	—	7	1	no	—
797	#477	C₂×D₇	1	1	yes	characteristic, complemented
798	#476	—	7	1	no	—
799	#476	—	7	1	no	—
800	#476	—	7	1	no	—
801	#476	—	7	1	no	—
802	#476	—	7	1	no	—
803	#475	—	7	1	no	—
804	#475	—	7	1	no	—
805	#475	C₂×D₇	1	1	yes	characteristic, complemented
806	#474	—	7	1	no	—
807	#474	—	7	1	no	—
808	#474	—	7	1	no	—
809	#474	—	7	1	no	—
810	#474	—	7	1	no	—
811	#463	—	7	1	no	—
812	#463	—	7	1	no	—
813	#463	—	7	1	no	—
814	#463	—	7	1	no	—
815	#463	—	7	1	no	—
816	#463	—	7	1	no	—
817	#463	—	7	1	no	—
818	#463	—	7	1	no	—
819	#461	—	7	1	no	—
820	#461	—	7	1	no	—
821	#459	—	7	1	no	—
822	#459	—	7	1	no	—
823	#450	—	7	1	no	—
824	#450	—	7	1	no	—
825	#447	—	7	1	no	—
826	#447	—	7	1	no	—
827	#446	—	7	1	no	—
828	#446	—	7	1	no	—
829	#446	—	7	1	no	—
830	#446	—	7	1	no	—
831	#446	—	7	1	no	—
832	#446	—	7	1	no	—
833	C₈×Q₈	—	7	1	no	—
834	C₈×Q₈	—	7	1	no	—
835	#442	—	7	1	no	—
836	#442	—	7	1	no	—
837	#442	—	7	1	no	—
838	#442	—	7	1	no	—
839	#442	—	7	1	no	—
840	#442	—	7	1	no	—
841	#440	—	7	1	no	—
842	#440	—	7	1	no	—
843	#440	—	7	1	no	—
844	#440	—	7	1	no	—
845	#440	—	7	1	no	—
846	#440	—	7	1	no	—
847	C₄×SD₁₆	—	7	1	no	—
848	C₄×SD₁₆	—	7	1	no	—
849	C₄×SD₁₆	—	7	1	no	—
850	C₄×SD₁₆	—	7	1	no	—
851	C₄×SD₁₆	—	7	1	no	—
852	C₄×SD₁₆	—	7	1	no	—
853	C₄×D₈	—	7	1	no	—
854	C₄×D₈	—	7	1	no	—
855	C₄×D₈	—	7	1	no	—
856	C₄×D₈	—	7	1	no	—
857	C₄×D₈	—	7	1	no	—
858	C₄×D₈	—	7	1	no	—
859	#433	—	7	1	no	—
860	#433	—	7	1	no	—
861	#433	—	7	1	no	—
862	#433	C₂×D₇	1	1	yes	characteristic
863	#432	—	7	1	no	—
864	#431	—	7	1	no	—
865	C₂³×C₇	C₂²×D₄	1	1	yes	characteristic
866	C₂²×D₇	—	2	1	no	—
867	C₂²×D₇	—	2	1	no	—
868	C₂²×D₇	—	2	4	no	—
869	C₂²×D₇	—	2	1	no	—
870	C₂²×D₇	—	2	1	no	—
871	C₂²×D₇	—	8	1	no	—
872	C₂²×D₇	—	8	1	no	—
873	C₇×Q₈	—	2	1	no	—
874	C₇×Q₈	—	2	1	no	—
875	C₇×Q₈	—	2	1	no	—
876	C₇×Q₈	—	2	1	no	—
877	C₇×Q₈	—	8	1	no	—
878	C₇×Q₈	—	8	1	no	—
879	C₂×C₄×C₇	—	2	1	no	—
880	C₂×C₄×C₇	—	2	1	no	—
881	C₂×C₄×C₇	—	2	1	no	—
882	C₂×C₄×C₇	—	2	1	no	—
883	C₂×C₄×C₇	—	2	1	no	—
884	C₂×C₄×C₇	—	2	1	no	—
885	C₂×C₄×C₇	—	2	1	no	—
886	C₂×C₄×C₇	—	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	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
896	C₂²⋊D₇	—	8	1	no	—
897	C₂²⋊D₇	—	8	1	no	—
898	C₂×Dic₇	—	2	1	no	—
899	C₂×Dic₇	—	2	1	no	—
900	C₂×Dic₇	—	2	1	no	—
901	C₂×Dic₇	—	2	1	no	—
902	C₂×Dic₇	—	4	1	no	—
903	C₂×Dic₇	—	4	1	no	—
904	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
905	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
906	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
907	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
908	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
909	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
910	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
911	C₂×Dic₇	C₂²×D₄	1	1	yes	characteristic
912	D₂₈	—	2	4	no	—
913	D₂₈	—	2	1	no	—
914	D₂₈	—	2	1	no	—
915	D₂₈	—	2	1	no	—
916	D₂₈	—	2	1	no	—
917	D₂₈	—	2	1	no	—
918	D₂₈	—	2	1	no	—
919	D₂₈	—	8	1	no	—
920	D₂₈	—	8	1	no	—
921	D₂₈	2₋¹⁺⁴	1	2	yes	—
922	D₂₈	2₋¹⁺⁴	1	2	yes	—
923	C₄×D₇	—	4	2	no	—
924	C₄×D₇	—	4	2	no	—
925	C₄×D₇	—	8	1	no	—
926	C₄×D₇	—	8	1	no	—
927	C₄×D₇	—	8	1	no	—
928	C₄×D₇	—	8	1	no	—
929	C₄×D₇	—	8	1	no	—
930	C₄×D₇	—	8	1	no	—
931	C₄×D₇	—	8	1	no	—
932	C₄×D₇	—	8	1	no	—
933	C₄×D₇	—	8	1	no	—
934	C₄×D₇	—	8	1	no	—
935	C₄×D₇	—	8	1	no	—
936	C₄×D₇	—	8	1	no	—
937	C₄×D₇	—	8	1	no	—
938	C₄×D₇	—	8	1	no	—
939	C₄×D₇	—	8	1	no	—
940	C₄×D₇	—	8	1	no	—
941	Dic₁₄	—	4	1	no	—
942	Dic₁₄	—	4	1	no	—
943	Dic₁₄	—	4	1	no	—
944	Dic₁₄	—	4	1	no	—
945	Dic₁₄	—	4	2	no	—
946	Dic₁₄	—	8	1	no	—
947	Dic₁₄	—	8	1	no	—
948	Dic₁₄	—	8	1	no	—
949	Dic₁₄	—	8	1	no	—
950	Dic₁₄	—	8	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	C₇⋊C₈	—	2	1	no	—
956	C₇⋊C₈	—	2	1	no	—
957	C₇⋊C₈	—	2	1	no	—
958	C₇⋊C₈	—	2	1	no	—
959	C₂²×Q₈	—	14	1	no	—
960	C₂²×Q₈	—	14	1	no	—
961	C₂²×D₄	—	7	1	no	—
962	C₂³×C₄	—	14	1	no	—
963	C₂×SD₁₆	—	7	1	no	—
964	C₂×SD₁₆	—	7	1	no	—
965	C₂×SD₁₆	—	7	1	no	—
966	C₂×SD₁₆	—	7	1	no	—
967	C₂×D₈	—	7	1	no	—
968	C₂×D₈	—	7	1	no	—
969	C₂×D₈	—	7	1	no	—
970	C₂×D₈	—	7	1	no	—
971	C₄⋊Q₈	—	2	1	no	—
972	C₄⋊Q₈	—	7	1	no	—
973	C₄⋊Q₈	—	7	1	no	—
974	C₄⋊Q₈	—	7	1	no	—
975	C₄⋊Q₈	—	7	1	no	—
976	C₄⋊Q₈	—	7	1	no	—
977	C₄⋊Q₈	—	7	1	no	—
978	C₄⋊Q₈	—	7	1	no	—
979	C₄⋊Q₈	—	7	1	no	—
980	C₄⋊Q₈	—	14	1	no	—
981	C₄⋊Q₈	—	14	1	no	—
982	C₄⋊Q₈	—	14	1	no	—
983	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
984	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
985	C₄⋊Q₈	C₂²×D₇	1	1	yes	characteristic
986	#127	—	7	1	no	—
987	#126	—	2	1	no	—
988	#126	—	2	1	no	—
989	#126	—	14	1	no	—
990	#126	—	14	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	#125	—	2	1	no	—
998	#125	—	2	1	no	—
999	#125	—	2	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	—	7	1	no	—
1008	#125	—	7	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	C₂²×D₇	1	1	yes	characteristic
1015	#125	C₂²×D₇	1	1	yes	characteristic
1016	#125	C₂²×D₇	1	1	yes	characteristic
1017	#124	—	7	1	no	—
1018	#124	—	7	1	no	—
1019	#124	—	7	1	no	—
1020	#124	—	7	1	no	—
1021	#124	—	14	1	no	—
1022	#124	—	14	1	no	—
1023	#124	—	14	1	no	—
1024	#124	—	14	1	no	—
1025	#123	—	14	1	no	—
1026	#123	—	14	1	no	—
1027	#123	—	14	1	no	—
1028	#123	—	14	1	no	—
1029	#123	—	14	1	no	—
1030	#123	—	14	1	no	—
1031	#123	—	14	1	no	—
1032	#123	—	14	1	no	—
1033	#123	—	14	1	no	—
1034	#123	—	14	1	no	—
1035	C₂²⋊Q₈	—	2	1	no	—
1036	C₂²⋊Q₈	—	2	1	no	—
1037	C₂²⋊Q₈	—	7	1	no	—
1038	C₂²⋊Q₈	—	7	1	no	—
1039	C₂²⋊Q₈	—	7	1	no	—
1040	C₂²⋊Q₈	—	7	1	no	—
1041	C₂²⋊Q₈	—	14	1	no	—
1042	C₂²⋊Q₈	—	14	1	no	—
1043	C₂²⋊Q₈	—	14	1	no	—
1044	C₂²⋊Q₈	—	14	1	no	—
1045	C₂²⋊Q₈	—	14	1	no	—
1046	C₂²⋊Q₈	—	14	1	no	—
1047	C₂²⋊Q₈	—	14	1	no	—
1048	C₂²⋊Q₈	—	14	1	no	—
1049	C₂²⋊Q₈	—	14	1	no	—
1050	C₂²⋊Q₈	—	14	1	no	—
1051	C₂²⋊Q₈	—	14	1	no	—
1052	C₂²⋊Q₈	—	14	1	no	—
1053	C₂²⋊Q₈	—	14	1	no	—
1054	C₂²⋊Q₈	—	14	1	no	—
1055	C₂²⋊Q₈	—	14	1	no	—
1056	C₂²⋊Q₈	—	14	1	no	—
1057	C₂²⋊Q₈	—	14	1	no	—
1058	C₂²⋊Q₈	—	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	—	14	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	C₂²×D₇	1	1	yes	characteristic
1080	C₂²⋊Q₈	C₂²×D₇	1	1	yes	characteristic
1081	#121	—	7	1	no	—
1082	#121	—	7	1	no	—
1083	#121	—	14	1	no	—
1084	#121	—	14	1	no	—
1085	C₄×Q₈	—	7	1	no	—
1086	C₄×Q₈	—	7	1	no	—
1087	C₄×Q₈	—	7	1	no	—
1088	C₄×Q₈	—	7	1	no	—
1089	C₄×Q₈	—	7	1	no	—
1090	C₄×Q₈	—	7	1	no	—
1091	C₄×Q₈	—	7	1	no	—
1092	C₄×Q₈	—	7	1	no	—
1093	C₄×Q₈	—	14	1	no	—
1094	C₄×Q₈	—	14	1	no	—
1095	C₄×Q₈	—	14	1	no	—
1096	C₄×Q₈	—	14	1	no	—
1097	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1098	C₄×Q₈	C₂²×D₇	1	1	yes	characteristic
1099	C₄×D₄	—	7	1	no	—
1100	C₄×D₄	—	7	1	no	—
1101	C₄×D₄	—	7	1	no	—
1102	C₄×D₄	—	7	1	no	—
1103	C₄×D₄	—	7	1	no	—
1104	C₄×D₄	—	7	1	no	—
1105	C₄×D₄	—	7	1	no	—
1106	C₄×D₄	—	7	1	no	—
1107	C₄×D₄	—	7	1	no	—
1108	C₄×D₄	—	7	1	no	—
1109	C₄×D₄	—	7	1	no	—
1110	C₄×D₄	—	7	1	no	—
1111	C₄×D₄	—	7	1	no	—
1112	C₄×D₄	—	7	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	—	14	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	—	14	1	no	—
1126	C₄×D₄	—	14	1	no	—
1127	#117	—	7	1	no	—
1128	#117	—	7	1	no	—
1129	#117	—	14	1	no	—
1130	#117	—	14	1	no	—
1131	#117	—	14	1	no	—
1132	#117	—	14	1	no	—
1133	#117	C₂²×D₇	1	1	yes	characteristic
1134	#117	C₂²×D₇	1	1	yes	characteristic
1135	C₂×C₄⋊C₄	—	14	1	no	—
1136	C₂×C₄⋊C₄	—	14	1	no	—
1137	C₂×C₄⋊C₄	—	14	1	no	—
1138	C₂×C₄⋊C₄	—	14	1	no	—
1139	C₂×C₄⋊C₄	—	14	1	no	—
1140	C₂×C₄⋊C₄	—	14	1	no	—
1141	C₂×C₄⋊C₄	—	14	1	no	—
1142	C₂×C₄⋊C₄	—	14	1	no	—
1143	C₂×C₄⋊C₄	C₂²×D₇	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	—	14	1	no	—
1145	C₂×C₂²⋊C₄	—	14	1	no	—
1146	C₂×C₂²⋊C₄	—	14	1	no	—
1147	C₂×C₂²⋊C₄	—	14	1	no	—
1148	C₂×C₂²⋊C₄	—	14	1	no	—
1149	C₂×C₄²	—	7	1	no	—
1150	#107	—	7	1	no	—
1151	#107	—	7	1	no	—
1152	#107	—	7	1	no	—
1153	#107	—	7	1	no	—
1154	#107	—	7	1	no	—
1155	#107	—	7	1	no	—
1156	#107	—	7	1	no	—
1157	#107	—	7	1	no	—
1158	#107	C₂²×D₇	1	1	yes	characteristic
1159	#107	C₂²×D₇	1	1	yes	characteristic
1160	#107	C₂²×D₇	1	1	yes	characteristic
1161	#107	C₂²×D₇	1	1	yes	characteristic
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	—	7	1	no	—
1169	#106	—	7	1	no	—
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	—	7	1	no	—
1181	C₄⋊C₈	—	7	1	no	—
1182	C₄⋊C₈	—	7	1	no	—
1183	C₄⋊C₈	—	7	1	no	—
1184	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1185	C₄⋊C₈	C₂²×D₇	1	1	yes	characteristic
1186	#103	—	7	1	no	—
1187	#103	—	7	1	no	—
1188	#103	—	7	1	no	—
1189	#103	—	7	1	no	—
1190	#103	C₂²×D₇	1	1	yes	characteristic
1191	#103	C₂²×D₇	1	1	yes	characteristic
1192	#103	C₂²×D₇	1	1	yes	characteristic
1193	#103	C₂²×D₇	1	1	yes	characteristic
1194	#103	C₂²×D₇	1	1	yes	characteristic
1195	#103	C₂²×D₇	1	1	yes	characteristic
1196	#103	C₂²×D₇	1	1	yes	characteristic
1197	#103	C₂²×D₇	1	1	yes	characteristic
1198	#102	—	7	1	no	—
1199	#102	—	7	1	no	—
1200	#102	—	7	1	no	—
1201	#102	—	7	1	no	—
1202	#102	—	7	1	no	—
1203	#102	—	7	1	no	—
1204	#102	—	7	1	no	—
1205	#102	—	7	1	no	—
1206	#102	—	7	1	no	—
1207	#102	—	7	1	no	—
1208	#102	—	7	1	no	—
1209	#102	—	7	1	no	—
1210	#102	—	7	1	no	—
1211	#102	—	7	1	no	—
1212	#102	—	7	1	no	—
1213	#102	—	7	1	no	—
1214	#102	—	7	1	no	—
1215	#102	—	7	1	no	—
1216	#102	—	7	1	no	—
1217	#102	—	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	—	7	1	no	—
1226	#97	—	7	1	no	—
1227	#97	C₂²×D₇	1	1	yes	characteristic
1228	C₄×C₈	—	7	1	no	—
1229	C₄×C₈	—	7	1	no	—
1230	C₄×C₈	—	7	1	no	—
1231	C₄×C₈	—	7	1	no	—
1232	C₄×C₈	—	7	1	no	—
1233	C₄×C₈	C₂²×D₇	1	1	yes	characteristic
1234	C₂²×C₇	—	2	1	no	—
1235	C₂²×C₇	—	2	1	no	—
1236	C₂²×C₇	—	2	1	no	—
1237	C₂²×C₇	C₂³×D₄	1	1	yes	characteristic
1238	C₂×D₇	—	2	2	no	—
1239	C₂×D₇	—	2	2	no	—
1240	C₂×D₇	—	4	1	no	—
1241	C₂×D₇	—	4	1	no	—
1242	C₂×D₇	—	4	1	no	—
1243	C₂×D₇	—	4	1	no	—
1244	C₂×D₇	—	4	1	no	—
1245	C₂×D₇	—	4	1	no	—
1246	C₂×D₇	—	4	1	no	—
1247	C₂×D₇	—	4	1	no	—
1248	C₂×D₇	—	4	1	no	—
1249	C₂×D₇	—	4	1	no	—
1250	C₂×D₇	—	8	4	no	—
1251	C₄×C₇	—	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	—	4	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	—	4	1	no	—
1264	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1265	C₄×C₇	C₂×2₋¹⁺⁴	1	1	yes	characteristic
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	—	2	1	no	—
1272	Dic₇	—	2	1	no	—
1273	Dic₇	—	2	1	no	—
1274	Dic₇	—	4	1	no	—
1275	Dic₇	—	4	1	no	—
1276	Dic₇	—	4	1	no	—
1277	Dic₇	—	4	1	no	—
1278	C₂⁴	—	14	1	no	—
1279	C₂×Q₈	—	2	1	no	—
1280	C₂×Q₈	—	2	1	no	—
1281	C₂×Q₈	—	7	1	no	—
1282	C₂×Q₈	—	7	1	no	—
1283	C₂×Q₈	—	7	1	no	—
1284	C₂×Q₈	—	7	1	no	—
1285	C₂×Q₈	—	14	1	no	—
1286	C₂×Q₈	—	14	1	no	—
1287	C₂×Q₈	—	14	1	no	—
1288	C₂×Q₈	—	14	1	no	—
1289	C₂×Q₈	—	14	1	no	—
1290	C₂×Q₈	—	14	1	no	—
1291	C₂×Q₈	—	56	2	no	—
1292	C₂×Q₈	—	56	2	no	—
1293	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1294	C₂×Q₈	C₂³×D₇	1	1	yes	characteristic
1295	C₂×D₄	—	7	1	no	—
1296	C₂×D₄	—	7	1	no	—
1297	C₂×D₄	—	7	1	no	—
1298	C₂×D₄	—	7	1	no	—
1299	C₂×D₄	—	14	2	no	—
1300	C₂×D₄	—	14	2	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	—	14	1	no	—
1306	C₂²×C₄	—	2	1	no	—
1307	C₂²×C₄	—	7	1	no	—
1308	C₂²×C₄	—	7	1	no	—
1309	C₂²×C₄	—	14	1	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	—	14	1	no	—
1322	C₂²×C₄	—	14	1	no	—
1323	C₂²×C₄	—	14	1	no	—
1324	C₂²×C₄	—	14	1	no	—
1325	C₂²×C₄	—	14	1	no	—
1326	C₂²×C₄	—	14	1	no	—
1327	C₂²×C₄	—	56	2	no	—
1328	C₂²×C₄	C₂³×D₇	1	1	yes	characteristic
1329	SD₁₆	—	14	2	no	—
1330	SD₁₆	—	14	2	no	—
1331	SD₁₆	—	14	2	no	—
1332	SD₁₆	—	14	2	no	—
1333	D₈	—	14	2	no	—
1334	D₈	—	14	2	no	—
1335	D₈	—	14	2	no	—
1336	D₈	—	14	2	no	—
1337	C₂×C₈	—	7	1	no	—
1338	C₂×C₈	—	7	1	no	—
1339	C₂×C₈	—	7	1	no	—
1340	C₂×C₈	—	7	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	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	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	—	7	1	no	—
1365	C₄⋊C₄	—	7	1	no	—
1366	C₄⋊C₄	—	7	1	no	—
1367	C₄⋊C₄	—	7	1	no	—
1368	C₄⋊C₄	—	7	1	no	—
1369	C₄⋊C₄	—	7	1	no	—
1370	C₄⋊C₄	—	7	1	no	—
1371	C₄⋊C₄	—	7	1	no	—
1372	C₄⋊C₄	—	7	1	no	—
1373	C₄⋊C₄	—	7	1	no	—
1374	C₄⋊C₄	—	7	1	no	—
1375	C₄⋊C₄	—	7	1	no	—
1376	C₄⋊C₄	—	7	1	no	—
1377	C₄⋊C₄	—	7	1	no	—
1378	C₄⋊C₄	—	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	—	7	1	no	—
1414	C₂²⋊C₄	—	7	1	no	—
1415	C₂²⋊C₄	—	14	1	no	—
1416	C₂²⋊C₄	—	14	1	no	—
1417	C₂²⋊C₄	—	14	1	no	—
1418	C₂²⋊C₄	—	14	1	no	—
1419	C₂²⋊C₄	—	14	1	no	—
1420	C₂²⋊C₄	—	14	1	no	—
1421	C₂²⋊C₄	—	14	1	no	—
1422	C₂²⋊C₄	—	14	1	no	—
1423	C₂²⋊C₄	—	14	1	no	—
1424	C₂²⋊C₄	—	14	1	no	—
1425	C₂²⋊C₄	—	14	1	no	—
1426	C₂²⋊C₄	—	14	1	no	—
1427	C₂²⋊C₄	—	14	1	no	—
1428	C₂²⋊C₄	—	14	1	no	—
1429	C₂²⋊C₄	—	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	D₄×D₇	1	1	yes	characteristic
1445	C₂²⋊C₄	D₄×D₇	1	1	yes	characteristic
1446	C₄²	—	2	1	no	—
1447	C₄²	—	2	1	no	—
1448	C₄²	—	2	1	no	—
1449	C₄²	—	7	1	no	—
1450	C₄²	—	7	1	no	—
1451	C₄²	—	7	1	no	—
1452	C₄²	—	7	1	no	—
1453	C₄²	—	7	1	no	—
1454	C₄²	—	7	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	C₂³×D₇	1	1	yes	characteristic
1461	C₄²	C₂³×D₇	1	1	yes	characteristic
1462	C₂×C₇	—	4	1	no	—
1463	C₂×C₇	#3486	1	1	yes	characteristic
1464	C₂×C₇	#3584	1	1	yes	characteristic
1465	C₂×C₇	#3585	1	1	yes	characteristic
1466	D₇	—	4	2	no	—
1467	D₇	—	4	2	no	—
1468	D₇	—	8	1	no	—
1469	D₇	—	8	1	no	—
1470	C₂³	—	14	4	no	—
1471	C₂³	—	14	1	no	—
1472	C₂³	—	14	1	no	—
1473	C₂³	—	14	1	no	—
1474	C₂³	—	14	1	no	—
1475	C₂³	—	56	1	no	—
1476	C₂³	—	56	1	no	—
1477	C₂³	C₂×D₄×D₇	1	1	yes	characteristic
1478	Q₈	—	2	1	no	—
1479	Q₈	—	2	1	no	—
1480	Q₈	—	2	1	no	—
1481	Q₈	—	2	1	no	—
1482	Q₈	—	8	1	no	—
1483	Q₈	—	8	1	no	—
1484	Q₈	—	28	1	no	—
1485	Q₈	—	28	1	no	—
1486	Q₈	—	28	1	no	—
1487	Q₈	—	28	1	no	—
1488	Q₈	—	28	2	no	—
1489	Q₈	—	56	1	no	—
1490	Q₈	—	56	1	no	—
1491	Q₈	—	56	1	no	—
1492	Q₈	—	56	1	no	—
1493	Q₈	—	56	1	no	—
1494	D₄	—	7	2	no	—
1495	D₄	—	7	2	no	—
1496	D₄	—	14	4	no	—
1497	D₄	—	14	1	no	—
1498	D₄	—	14	1	no	—
1499	D₄	—	14	1	no	—
1500	D₄	—	14	1	no	—
1501	D₄	—	14	1	no	—
1502	D₄	—	14	1	no	—
1503	D₄	—	56	1	no	—
1504	D₄	—	56	1	no	—
1505	D₄	—	56	1	no	—
1506	D₄	—	56	1	no	—
1507	C₂×C₄	—	2	1	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
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	—	7	1	no	—
1518	C₂×C₄	—	7	1	no	—
1519	C₂×C₄	—	7	1	no	—
1520	C₂×C₄	—	7	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	—	8	1	no	—
1526	C₂×C₄	—	14	1	no	—
1527	C₂×C₄	—	14	1	no	—
1528	C₂×C₄	—	14	1	no	—
1529	C₂×C₄	—	14	1	no	—
1530	C₂×C₄	—	28	2	no	—
1531	C₂×C₄	—	28	2	no	—
1532	C₂×C₄	—	28	1	no	—
1533	C₂×C₄	—	28	1	no	—
1534	C₂×C₄	—	56	1	no	—
1535	C₂×C₄	—	56	1	no	—
1536	C₂×C₄	—	56	1	no	—
1537	C₂×C₄	—	56	1	no	—
1538	C₂×C₄	—	56	1	no	—
1539	C₂×C₄	—	56	1	no	—
1540	C₂×C₄	—	56	1	no	—
1541	C₂×C₄	—	56	1	no	—
1542	C₂×C₄	—	56	1	no	—
1543	C₂×C₄	—	56	1	no	—
1544	C₂×C₄	—	56	1	no	—
1545	C₂×C₄	—	56	1	no	—
1546	C₂×C₄	—	56	1	no	—
1547	C₂×C₄	—	56	1	no	—
1548	C₂×C₄	—	56	1	no	—
1549	C₂×C₄	—	56	1	no	—
1550	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
1551	C₂×C₄	C₂×D₄×D₇	1	1	yes	characteristic
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	C₂⁴×D₇	1	1	yes	characteristic
1556	C₈	—	2	1	no	—
1557	C₈	—	2	1	no	—
1558	C₈	—	2	1	no	—
1559	C₈	—	2	1	no	—
1560	C₈	—	14	1	no	—
1561	C₈	—	14	1	no	—
1562	C₈	—	14	1	no	—
1563	C₈	—	14	1	no	—
1564	C₇	#61855	1	1	yes	characteristic, complemented, Sylow
1565	C₂²	—	2	1	no	—
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	14	2	no	—
1569	C₂²	—	14	2	no	—
1570	C₂²	—	28	1	no	—
1571	C₂²	—	28	1	no	—
1572	C₂²	—	28	1	no	—
1573	C₂²	—	28	1	no	—
1574	C₂²	—	28	1	no	—
1575	C₂²	—	28	1	no	—
1576	C₂²	—	28	1	no	—
1577	C₂²	—	28	1	no	—
1578	C₂²	—	28	1	no	—
1579	C₂²	—	28	1	no	—
1580	C₂²	—	56	4	no	—
1581	C₂²	C₂²×D₄×D₇	1	1	yes	characteristic
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	4	1	no	—
1588	C₄	—	4	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	—	14	1	no	—
1602	C₄	—	14	1	no	—
1603	C₄	—	28	1	no	—
1604	C₄	—	28	1	no	—
1605	C₄	—	28	1	no	—
1606	C₄	—	28	1	no	—
1607	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1608	C₄	D₇×2₋¹⁺⁴	1	1	yes	characteristic
1609	C₂	—	4	1	no	—
1610	C₂	—	28	2	no	—
1611	C₂	—	28	2	no	—
1612	C₂	—	56	1	no	—
1613	C₂	—	56	1	no	—
1614	C₂	#11743423	1	1	yes	characteristic
1615	C₂	#11744275	1	1	yes	characteristic
1616	C₂	#11744278	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇
commutator, cosocle	C₂×C₄×C₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇
Fitting	C₇×#3242	C₂
socle	C₂²×C₇	C₂³×D₄
prime radical	#11736831	C₂
hypercenter	#3242	D₇
hypocenter	C₇	#61855
LCS	G ▷ C₂×C₄×C₇ ▷ C₂×C₇ ▷ C₇
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3242

Complements

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

N	H ≅ G/N	type
1. #11743667	C₂	semidirect
2. #11743571	C₂	semidirect
3. C₇×#3242	C₂	semidirect
4. #11740922	C₂	semidirect
5. #11740892	C₂	semidirect
6. #11739415	C₂	semidirect
7. #11739409	C₂	semidirect
8. #11739376	C₂	semidirect
9. #11739357	C₂	semidirect
10. #11739179	C₂	semidirect
11. #11739179	C₂	semidirect
12. #11739067	C₂	semidirect
13. #11739066	C₂	semidirect
14. #11738948	C₂	semidirect
15. #11738946	C₂	semidirect
16. #11738941	C₂	semidirect
17. #11738941	C₂	semidirect
18. #11738906	C₂	semidirect
19. #11738898	C₂	semidirect
20. #11738868	C₂	semidirect
21. #11738860	C₂	semidirect
22. #11738711	C₂	semidirect
23. #11738666	C₂	semidirect
24. #11738662	C₂	semidirect
25. #11738662	C₂	semidirect
26. #11738579	C₂	semidirect
27. #11738548	C₂	semidirect
28. #11738483	C₂	semidirect
29. #11738453	C₂	semidirect
31. #11736804	C₂	semidirect
34. #90423	C₂²	semidirect
35. #90423	C₂²	semidirect
56. #90381	C₂²	semidirect
57. #90381	C₂²	semidirect
66. #90276	C₂²	semidirect
67. #90276	C₂²	semidirect
68. #90260	C₂²	semidirect
69. #90260	C₂²	semidirect
77. C₇×#501	C₂²	semidirect
78. C₇×#499	C₂²	semidirect
79. C₇×#491	C₂²	semidirect
80. C₇×#487	C₂²	semidirect
85. C₇×#479	C₂²	semidirect
86. C₇×#479	C₂²	semidirect
87. C₇×#477	C₂²	semidirect
88. C₇×#475	C₂²	semidirect
90. #89860	C₂²	semidirect
91. #89859	C₂²	semidirect
92. #89856	C₂²	semidirect
95. #89852	C₂²	semidirect
96. #89839	C₂²	semidirect
99. #89838	C₂²	semidirect
100. #89838	C₂²	semidirect
101. #89836	C₂²	semidirect
117. #89663	C₂²	semidirect
118. #89663	C₂²	semidirect
121. #89662	C₂²	semidirect
122. #89662	C₂²	semidirect
123. #89650	C₂²	semidirect
124. #89648	C₂²	semidirect
125. #89648	C₂²	semidirect
126. #89646	C₂²	semidirect
133. #89643	C₂²	semidirect
134. #89643	C₂²	semidirect
137. #89642	C₂²	semidirect
138. #89642	C₂²	semidirect
143. #89630	C₂²	semidirect
144. #89628	C₂²	semidirect
145. #89628	C₂²	semidirect
146. #89627	C₂²	semidirect
151. #89603	C₂²	semidirect
152. #89602	C₂²	semidirect
153. #89600	C₂²	semidirect
154. #89600	C₂²	semidirect
167. #89572	C₂²	semidirect
168. #89572	C₂²	semidirect
169. #89572	C₂²	semidirect
170. #89572	C₂²	semidirect
171. #89571	C₂²	semidirect
172. #89571	C₂²	semidirect
173. #89568	C₂²	semidirect
174. #89568	C₂²	semidirect
175. #89567	C₂²	semidirect
176. #89567	C₂²	semidirect
177. #89567	C₂²	semidirect
178. #89567	C₂²	semidirect
179. #89566	C₂²	semidirect
180. #89566	C₂²	semidirect
181. #89563	C₂²	semidirect
182. #89563	C₂²	semidirect
197. #89473	C₂²	semidirect
198. #89473	C₂²	semidirect
201. #89451	C₂²	semidirect
202. C₈×Dic₁₄	C₂²	semidirect
499. #3242	D₇	semidirect
744. #501	C₂×D₇	semidirect
749. #499	C₂×D₇	semidirect
751. #491	C₂×D₇	semidirect
761. #487	C₂×D₇	semidirect
779. #479	C₂×D₇	semidirect
780. #479	C₂×D₇	semidirect
797. #477	C₂×D₇	semidirect
805. #475	C₂×D₇	semidirect
1564. C₇	#61855	semidirect

Maximal subgroups

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

subgroup	index
#11743667	2
#11743571	2
C₇×#3242	2
#11740922	2
#11740892	2
#11739415	2
#11739409	2
#11739376	2
#11739357	2
#11739179	2
#11739067	2
#11739066	2
#11738948	2
#11738946	2
#11738941	2
#11738906	2
#11738898	2
#11738868	2
#11738860	2
#11738711	2
#11738666	2
#11738662	2
#11738579	2
#11738548	2
#11738483	2
#11738453	2
#11736831	2
#11736804	2
#61855	7