Subgroups — #27098985

Order 12032.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257460	C₂	1	1	yes	maximal, characteristic, complemented
2	#20256372	C₂	1	1	yes	maximal, characteristic, complemented
3	#20256251	C₂	1	1	yes	maximal, characteristic, complemented
4	#20256215	C₂	1	1	yes	maximal, characteristic, complemented
5	#20256209	C₂	1	1	yes	maximal, characteristic, complemented
6	#20255814	C₂	1	1	yes	maximal, characteristic, complemented
7	#20255784	C₂	1	1	yes	maximal, characteristic, complemented
8	#20255750	C₂	1	1	yes	maximal, characteristic, complemented
9	#20255604	C₂	1	1	yes	maximal, characteristic, complemented
10	#20255598	C₂	1	1	yes	maximal, characteristic, complemented
11	#20255424	C₂	1	1	yes	maximal, characteristic, complemented
12	#20255418	C₂	1	1	yes	maximal, characteristic, complemented
13	#20255364	C₂	1	1	yes	maximal, characteristic, complemented
14	#20255358	C₂	1	1	yes	maximal, characteristic, complemented
15	#20255106	C₂	1	1	yes	maximal, characteristic, complemented
16	#20255069	C₂	1	1	yes	maximal, characteristic, complemented
17	#20255069	C₂	1	1	yes	maximal, characteristic, complemented
18	#20254041	C₂	1	1	yes	maximal, characteristic, complemented
19	#20254021	C₂	1	1	yes	maximal, characteristic, complemented
20	#20253952	C₂	1	1	yes	maximal, characteristic, complemented
21	#20253665	C₂	1	1	yes	maximal, characteristic, complemented
22	#20253659	C₂	1	1	yes	maximal, characteristic, complemented
23	#20253640	C₂	1	1	yes	maximal, characteristic, complemented
24	#20253635	C₂	1	1	yes	maximal, characteristic, complemented
25	#20253497	C₂	1	1	yes	maximal, characteristic, complemented
26	#20253491	C₂	1	1	yes	maximal, characteristic, complemented
27	#20252364	C₂	1	1	yes	maximal, characteristic, complemented
28	#20252261	C₂	1	1	yes	maximal, characteristic, complemented
29	#20252238	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13094044	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₇×#3521	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13094044	C₂²	1	1	yes	characteristic
33	C₂×#13094044	C₂²	1	1	yes	characteristic
34	C₂²×#10625334	C₂²	1	1	yes	characteristic
35	#15689846	C₂²	1	1	yes	characteristic, complemented
36	#15689843	C₂²	1	1	yes	characteristic
37	#15689833	C₂²	1	1	yes	characteristic, complemented
38	#15689819	C₂²	1	1	yes	characteristic, complemented
39	#15689818	—	2	1	no	—
40	#15689813	C₂²	1	1	yes	characteristic
41	#15689805	—	2	1	no	—
42	#15689803	—	2	1	no	—
43	#15689801	—	2	1	no	—
44	#15689778	C₂²	1	1	yes	characteristic, complemented
45	#15689769	C₂²	1	1	yes	characteristic
46	#15689769	C₂²	1	1	yes	characteristic
47	#15689744	C₂²	1	1	yes	characteristic, complemented
48	#15689735	C₂²	1	1	yes	characteristic
49	#15689719	—	2	1	no	—
50	#15689705	—	2	1	no	—
51	#15689657	C₂²	1	1	yes	characteristic, complemented
52	#15689656	—	2	1	no	—
53	#126×D₄₇	—	2	1	no	—
54	#15689603	C₂²	1	1	yes	characteristic, complemented
55	#15689597	C₂²	1	1	yes	characteristic
56	C₄×#10625350	C₂²	1	1	yes	characteristic, complemented
57	#15689526	C₂²	1	1	yes	characteristic, complemented
58	#15689522	C₂²	1	1	yes	characteristic, complemented
59	#15689522	C₂²	1	1	yes	characteristic, complemented
60	#15689505	C₂²	1	1	yes	characteristic
61	#15689505	C₂²	1	1	yes	characteristic
62	#15689502	C₂²	1	1	yes	characteristic, complemented
63	#15689493	C₂²	1	1	yes	characteristic, complemented
64	#15689491	C₂²	1	1	yes	characteristic, complemented
65	#15689485	C₂²	1	1	yes	characteristic, complemented
66	#15689482	C₂²	1	1	yes	characteristic, complemented
67	#15689480	C₂²	1	1	yes	characteristic, complemented
68	#15689477	C₂²	1	1	yes	characteristic, complemented
69	#15689464	C₂²	1	1	yes	characteristic
70	#15689464	C₂²	1	1	yes	characteristic
71	#15689464	C₂²	1	1	yes	characteristic, complemented
72	#15689461	C₂²	1	1	yes	characteristic
73	#15689461	C₂²	1	1	yes	characteristic
74	#15689461	C₂²	1	1	yes	characteristic, complemented
75	#15689453	C₂²	1	1	yes	characteristic, complemented
76	#15689451	C₂²	1	1	yes	characteristic, complemented
77	#15689447	C₂²	1	1	yes	characteristic, complemented
78	#15689444	C₂²	1	1	yes	characteristic, complemented
79	#15689441	C₂²	1	1	yes	characteristic, complemented
80	#15689439	C₂²	1	1	yes	characteristic, complemented
81	#15689430	C₂²	1	1	yes	characteristic, complemented
82	#15689427	C₂²	1	1	yes	characteristic, complemented
83	#15689423	C₂²	1	1	yes	characteristic, complemented
84	#15689423	C₂²	1	1	yes	characteristic, complemented
85	#15689423	C₂²	1	1	yes	characteristic, complemented
86	#15689420	C₂²	1	1	yes	characteristic, complemented
87	#15689420	C₂²	1	1	yes	characteristic, complemented
88	#15689420	C₂²	1	1	yes	characteristic, complemented
89	#15689413	C₂²	1	1	yes	characteristic, complemented
90	#15689410	C₂²	1	1	yes	characteristic, complemented
91	#15689408	C₂²	1	1	yes	characteristic, complemented
92	#15689405	C₂²	1	1	yes	characteristic, complemented
93	#15689379	C₂²	1	1	yes	characteristic
94	#15689379	C₂²	1	1	yes	characteristic
95	#15689371	C₂²	1	1	yes	characteristic, complemented
96	#15689367	C₂²	1	1	yes	characteristic, complemented
97	#15689362	C₂²	1	1	yes	characteristic
98	#15689362	C₂²	1	1	yes	characteristic
99	#15689362	C₂²	1	1	yes	characteristic, complemented
100	#15689362	C₂²	1	1	yes	characteristic, complemented
101	#15689357	C₂²	1	1	yes	characteristic
102	#15689357	C₂²	1	1	yes	characteristic
103	#15689354	C₂²	1	1	yes	characteristic, complemented
104	#15689350	C₂²	1	1	yes	characteristic, complemented
105	#15689345	C₂²	1	1	yes	characteristic, complemented
106	#15689345	C₂²	1	1	yes	characteristic, complemented
107	#15689342	C₂²	1	1	yes	characteristic, complemented
108	#15689342	C₂²	1	1	yes	characteristic, complemented
109	#15689338	C₂²	1	1	yes	characteristic
110	#15689338	C₂²	1	1	yes	characteristic
111	#15689335	C₂²	1	1	yes	characteristic
112	#15689335	C₂²	1	1	yes	characteristic
113	#15689328	C₂²	1	1	yes	characteristic, complemented
114	#15689328	C₂²	1	1	yes	characteristic, complemented
115	#15689325	C₂²	1	1	yes	characteristic, complemented
116	#15689325	C₂²	1	1	yes	characteristic, complemented
117	#15689285	C₂²	1	1	yes	characteristic, complemented
118	#15689285	C₂²	1	1	yes	characteristic, complemented
119	#15689283	C₂²	1	1	yes	characteristic, complemented
120	#15689283	C₂²	1	1	yes	characteristic, complemented
121	#15689274	C₂²	1	1	yes	characteristic
122	#15689274	C₂²	1	1	yes	characteristic
123	#15689273	C₂²	1	1	yes	characteristic
124	#15689273	C₂²	1	1	yes	characteristic
125	#15689268	C₂²	1	1	yes	characteristic
126	#15689268	C₂²	1	1	yes	characteristic
127	#15689266	C₂²	1	1	yes	characteristic
128	#15689266	C₂²	1	1	yes	characteristic
129	#15689254	C₂²	1	1	yes	characteristic, complemented
130	Q₈×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
131	#15689233	C₂²	1	1	yes	characteristic
132	#15689233	C₂²	1	1	yes	characteristic
133	#15689233	C₂²	1	1	yes	characteristic
134	#15689233	C₂²	1	1	yes	characteristic
135	#15689228	C₂²	1	1	yes	characteristic, complemented
136	#15689228	C₂²	1	1	yes	characteristic, complemented
137	#15689223	C₂²	1	1	yes	characteristic, complemented
138	#15689223	C₂²	1	1	yes	characteristic, complemented
139	#15689223	C₂²	1	1	yes	characteristic, complemented
140	#15689221	C₂²	1	1	yes	characteristic, complemented
141	#15689221	C₂²	1	1	yes	characteristic, complemented
142	#15689221	C₂²	1	1	yes	characteristic, complemented
143	C₄×#10625337	C₂²	1	1	yes	characteristic, complemented
144	C₄×#10625337	C₂²	1	1	yes	characteristic, complemented
145	C₄×#10625337	C₂²	1	1	yes	characteristic, complemented
146	C₄×#10625337	C₂²	1	1	yes	characteristic, complemented
147	C₄×#10625336	C₂²	1	1	yes	characteristic, complemented
148	C₄×#10625336	C₂²	1	1	yes	characteristic, complemented
149	C₄×#10625336	C₂²	1	1	yes	characteristic, complemented
150	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
151	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
152	C₄×#10625335	C₂²	1	1	yes	characteristic, complemented
153	C₄×#10625334	C₂²	1	1	yes	characteristic
154	C₄×#10625334	C₂²	1	1	yes	characteristic
155	C₄×#10625334	C₂²	1	1	yes	characteristic
156	C₄×#10625334	C₂²	1	1	yes	characteristic
157	C₄×#10625334	C₂²	1	1	yes	characteristic
158	C₄×#10625334	C₂²	1	1	yes	characteristic
159	#15689201	C₂²	1	1	yes	characteristic
160	#15689195	C₂²	1	1	yes	characteristic
161	#15689195	C₂²	1	1	yes	characteristic, complemented
162	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
163	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
164	D₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
165	#15689184	C₂²	1	1	yes	characteristic
166	#15689184	C₂²	1	1	yes	characteristic, complemented
167	#15689180	C₂²	1	1	yes	characteristic, complemented
168	#15689159	C₂²	1	1	yes	characteristic
169	#15689159	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13093957	C₂²	1	1	yes	characteristic, complemented
171	#15689128	C₂²	1	1	yes	characteristic
172	#15689127	C₂²	1	1	yes	characteristic
173	#15689124	C₂²	1	1	yes	characteristic, complemented
174	#15689122	C₂²	1	1	yes	characteristic, complemented
175	#15689119	C₂²	1	1	yes	characteristic, complemented
176	#15689117	C₂²	1	1	yes	characteristic, complemented
177	#15689079	C₂²	1	1	yes	characteristic
178	#15689079	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	C₄₇×#556	C₂²	1	1	yes	characteristic
181	C₄₇×#556	C₂²	1	1	yes	characteristic, complemented
182	C₄₇×#554	C₂²	1	1	yes	characteristic, complemented
183	C₄₇×#553	—	2	1	no	—
184	C₄₇×#553	C₂²	1	1	yes	characteristic, complemented
185	C₄₇×#552	—	2	1	no	—
186	C₄₇×#552	C₂²	1	1	yes	characteristic
187	C₄₇×#551	—	2	1	no	—
188	C₄₇×#551	—	2	1	no	—
189	C₄₇×#547	C₂²	1	1	yes	characteristic, complemented
190	C₄₇×#546	C₂²	1	1	yes	characteristic
191	C₄₇×#546	C₂²	1	1	yes	characteristic
192	C₄₇×#542	C₂²	1	1	yes	characteristic, complemented
193	C₄₇×#541	C₂²	1	1	yes	characteristic
194	C₄₇×#539	—	2	1	no	—
195	C₄₇×#538	—	2	1	no	—
196	C₄₇×#529	—	2	1	no	—
197	C₄₇×#529	C₂²	1	1	yes	characteristic
198	C₄₇×#529	C₂²	1	1	yes	characteristic, complemented
199	C₂×#126×C₄₇	—	2	1	no	—
200	C₄₇×#520	C₂²	1	1	yes	characteristic, complemented
201	C₄₇×#518	C₂²	1	1	yes	characteristic
202	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic, complemented
203	C₂×#10625350	C₂³	1	1	yes	characteristic
204	C₂×#10625350	C₂³	1	1	yes	characteristic
205	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
206	#13094044	—	2	4	no	—
207	#13094044	—	2	4	no	—
208	C₂×#10625337	C₂³	1	1	yes	characteristic
209	C₂×#10625337	C₂³	1	1	yes	characteristic
210	C₂×#10625337	C₂³	1	1	yes	characteristic
211	C₂×#10625337	C₂³	1	1	yes	characteristic
212	C₂×#10625335	C₂³	1	1	yes	characteristic
213	C₂×#10625335	C₂³	1	1	yes	characteristic
214	C₂×#10625335	C₂³	1	1	yes	characteristic
215	C₂×#10625335	C₂³	1	1	yes	characteristic
216	C₂×#10625336	C₂³	1	1	yes	characteristic
217	C₂×#10625336	C₂³	1	1	yes	characteristic
218	C₂×#10625336	C₂³	1	1	yes	characteristic
219	C₂×#10625336	C₂³	1	1	yes	characteristic
220	C₂×#10625334	—	2	4	no	—
221	C₂×#10625334	C₂³	1	1	yes	characteristic
222	C₂×#10625334	C₂³	1	1	yes	characteristic
223	C₂×#10625334	C₂³	1	1	yes	characteristic
224	C₂×#10625334	C₂³	1	1	yes	characteristic
225	C₂×#10625329	C₂³	1	1	yes	characteristic
226	C₂×#10625329	C₂³	1	1	yes	characteristic
227	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
229	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
230	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
231	#13094024	C₂³	1	1	yes	characteristic
232	#13094024	C₂³	1	1	yes	characteristic
233	#13094019	—	2	1	no	—
234	#13094019	—	2	1	no	—
235	#13094019	—	2	1	no	—
236	#13094019	—	2	1	no	—
237	#13094018	—	2	1	no	—
238	#13094017	—	2	1	no	—
239	#13094017	—	2	1	no	—
240	#13094017	—	2	1	no	—
241	#13094017	—	2	1	no	—
242	#13094017	—	2	1	no	—
243	#13094016	C₂³	1	1	yes	characteristic
244	#13094016	C₂³	1	1	yes	characteristic
245	#13094014	—	2	1	no	—
246	#13094014	—	2	1	no	—
247	#13094014	—	2	1	no	—
248	#13094012	C₂³	1	1	yes	characteristic
249	#13094012	C₂³	1	1	yes	characteristic
250	#13094011	—	2	1	no	—
251	#13094010	—	2	1	no	—
252	#13094009	—	2	1	no	—
253	#13094009	—	2	1	no	—
254	#13094007	—	2	1	no	—
255	#13094006	—	2	1	no	—
256	#13094006	—	2	1	no	—
257	#13094006	—	2	1	no	—
258	#13094006	—	2	1	no	—
259	#13094005	—	2	1	no	—
260	#13094003	C₂³	1	1	yes	characteristic
261	#13094003	C₂³	1	1	yes	characteristic
262	#13094003	C₂³	1	1	yes	characteristic
263	#13094003	C₂³	1	1	yes	characteristic
264	#13094002	—	2	1	no	—
265	#13094002	—	2	1	no	—
266	#13094002	—	2	1	no	—
267	#13094000	—	2	1	no	—
268	#13094000	—	2	1	no	—
269	#13093998	C₂³	1	1	yes	characteristic
270	#13093998	C₂³	1	1	yes	characteristic
271	#13093997	—	2	1	no	—
272	#13093997	—	2	1	no	—
273	#13093996	—	2	1	no	—
274	#13093995	—	2	1	no	—
275	#13093992	—	2	1	no	—
276	#13093992	—	2	1	no	—
277	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
278	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
279	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
280	C₄×Dic₉₄	C₂³	1	1	yes	characteristic
281	#13093989	—	2	1	no	—
282	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
283	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
284	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
285	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
286	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
287	C₄×D₁₈₈	C₂³	1	1	yes	characteristic
288	#13093986	—	2	1	no	—
289	#13093986	—	2	1	no	—
290	C₄×C₂²⋊D₄₇	—	2	1	no	—
291	C₄×C₂²⋊D₄₇	—	2	1	no	—
292	C₄×C₂²⋊D₄₇	—	2	1	no	—
293	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
294	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
295	(C₂²⋊D₄₇)⋊C₄	—	2	1	no	—
296	#13093983	C₂³	1	1	yes	characteristic
297	#13093983	C₂³	1	1	yes	characteristic
298	#13093982	—	2	1	no	—
299	#13093982	—	2	1	no	—
300	#13093981	—	2	1	no	—
301	#13093981	—	2	1	no	—
302	#13093980	—	2	1	no	—
303	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
304	C₄⋊C₄×D₄₇	—	2	1	no	—
305	C₄⋊C₄×D₄₇	—	2	1	no	—
306	C₄⋊C₄×D₄₇	—	2	1	no	—
307	C₂²⋊C₄×D₄₇	—	2	1	no	—
308	C₂²⋊C₄×D₄₇	—	2	1	no	—
309	C₂²⋊C₄×D₄₇	—	2	1	no	—
310	C₂²⋊C₄×D₄₇	—	2	1	no	—
311	C₄²×D₄₇	—	2	1	no	—
312	#13093957	C₂³	1	1	yes	characteristic
313	#13093957	C₂³	1	1	yes	characteristic
314	#13093957	C₂³	1	1	yes	characteristic
315	#13093957	C₂³	1	1	yes	characteristic
316	#13093957	C₂³	1	1	yes	characteristic
317	#13093957	C₂³	1	1	yes	characteristic
318	#13093957	C₂³	1	1	yes	characteristic
319	#13093957	C₂³	1	1	yes	characteristic
320	#13093955	C₂³	1	1	yes	characteristic
321	#13093955	C₂³	1	1	yes	characteristic
322	#13093955	C₂³	1	1	yes	characteristic
323	#13093955	C₂³	1	1	yes	characteristic
324	#13093955	C₂³	1	1	yes	characteristic
325	#13093955	C₂³	1	1	yes	characteristic
326	#13093955	C₂³	1	1	yes	characteristic
327	#13093955	C₂³	1	1	yes	characteristic
328	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
329	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
330	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
331	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
332	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
333	C₄⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
334	#13093948	C₂³	1	1	yes	characteristic
335	#13093948	C₂³	1	1	yes	characteristic
336	#13093948	C₂³	1	1	yes	characteristic
337	#13093948	C₂³	1	1	yes	characteristic
338	#13093948	C₂³	1	1	yes	characteristic
339	#13093948	C₂³	1	1	yes	characteristic
340	#13093948	C₂³	1	1	yes	characteristic
341	#13093948	C₂³	1	1	yes	characteristic
342	#13093947	C₂³	1	1	yes	characteristic
343	#13093947	C₂³	1	1	yes	characteristic
344	#13093947	C₂³	1	1	yes	characteristic
345	#13093947	C₂³	1	1	yes	characteristic
346	#13093947	C₂³	1	1	yes	characteristic
347	#13093947	C₂³	1	1	yes	characteristic
348	#13093947	C₂³	1	1	yes	characteristic
349	#13093947	C₂³	1	1	yes	characteristic
350	#13093945	C₂³	1	1	yes	characteristic
351	#13093945	C₂³	1	1	yes	characteristic
352	#13093945	C₂³	1	1	yes	characteristic
353	#13093945	C₂³	1	1	yes	characteristic
354	#13093945	C₂³	1	1	yes	characteristic
355	#13093945	C₂³	1	1	yes	characteristic
356	#13093945	C₂³	1	1	yes	characteristic
357	#13093945	C₂³	1	1	yes	characteristic
358	#13093944	C₂³	1	1	yes	characteristic
359	#13093944	C₂³	1	1	yes	characteristic
360	#13093944	C₂³	1	1	yes	characteristic
361	#13093944	C₂³	1	1	yes	characteristic
362	#13093944	C₂³	1	1	yes	characteristic
363	#13093944	C₂³	1	1	yes	characteristic
364	#13093944	C₂³	1	1	yes	characteristic
365	#13093944	C₂³	1	1	yes	characteristic
366	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
367	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
368	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
369	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
370	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
371	C₂²⋊(C₄₇⋊C₈)	C₂³	1	1	yes	characteristic
372	#13093935	C₂³	1	1	yes	characteristic
373	#13093935	C₂³	1	1	yes	characteristic
374	#13093935	C₂³	1	1	yes	characteristic
375	#13093935	C₂³	1	1	yes	characteristic
376	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
377	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
378	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
379	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
380	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
381	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
382	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
383	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
384	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
385	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
386	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
387	#126×C₄₇	—	2	1	no	—
388	#126×C₄₇	—	2	1	no	—
389	#126×C₄₇	—	2	1	no	—
390	#126×C₄₇	—	2	1	no	—
391	#126×C₄₇	—	2	1	no	—
392	#126×C₄₇	—	2	1	no	—
393	#126×C₄₇	—	2	1	no	—
394	#126×C₄₇	—	2	1	no	—
395	#126×C₄₇	—	2	1	no	—
396	#126×C₄₇	—	2	1	no	—
397	#126×C₄₇	D₄	1	1	yes	characteristic
398	#126×C₄₇	D₄	1	1	yes	characteristic
399	#125×C₄₇	—	2	1	no	—
400	#125×C₄₇	—	2	1	no	—
401	#125×C₄₇	—	2	1	no	—
402	#125×C₄₇	D₄	1	1	yes	characteristic
403	#125×C₄₇	C₂³	1	1	yes	characteristic
404	#125×C₄₇	C₂³	1	1	yes	characteristic
405	#124×C₄₇	—	2	1	no	—
406	#124×C₄₇	—	2	1	no	—
407	#124×C₄₇	D₄	1	1	yes	characteristic
408	#124×C₄₇	C₂³	1	1	yes	characteristic
409	#124×C₄₇	C₂³	1	1	yes	characteristic
410	#123×C₄₇	—	2	1	no	—
411	#123×C₄₇	—	2	1	no	—
412	#123×C₄₇	—	2	1	no	—
413	#123×C₄₇	—	2	1	no	—
414	#123×C₄₇	—	2	1	no	—
415	#123×C₄₇	—	2	1	no	—
416	#123×C₄₇	—	2	1	no	—
417	#123×C₄₇	—	2	1	no	—
418	#123×C₄₇	D₄	1	1	yes	characteristic
419	#123×C₄₇	D₄	1	1	yes	characteristic
420	C₂²⋊Q₈×C₄₇	—	2	1	no	—
421	C₂²⋊Q₈×C₄₇	—	2	1	no	—
422	C₂²⋊Q₈×C₄₇	—	2	1	no	—
423	C₂²⋊Q₈×C₄₇	—	2	1	no	—
424	C₂²⋊Q₈×C₄₇	—	2	1	no	—
425	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
426	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
427	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
428	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
429	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
430	#121×C₄₇	—	2	1	no	—
431	#121×C₄₇	—	2	1	no	—
432	#121×C₄₇	—	2	1	no	—
433	#121×C₄₇	—	2	1	no	—
434	#121×C₄₇	D₄	1	1	yes	characteristic
435	#121×C₄₇	C₂³	1	1	yes	characteristic
436	#121×C₄₇	C₂³	1	1	yes	characteristic
437	#120×C₄₇	—	2	1	no	—
438	#120×C₄₇	—	2	1	no	—
439	C₄×Q₈×C₄₇	—	2	1	no	—
440	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
441	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
442	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
443	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
444	C₄×Q₈×C₄₇	C₂³	1	1	yes	characteristic
445	C₄×D₄×C₄₇	—	2	1	no	—
446	C₄×D₄×C₄₇	—	2	1	no	—
447	C₄×D₄×C₄₇	—	2	1	no	—
448	C₄×D₄×C₄₇	—	2	1	no	—
449	C₄×D₄×C₄₇	—	2	1	no	—
450	C₄×D₄×C₄₇	—	2	1	no	—
451	C₄×D₄×C₄₇	—	2	1	no	—
452	C₄×D₄×C₄₇	—	2	1	no	—
453	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
454	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
458	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
459	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
460	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₄₇	C₂³	1	1	yes	characteristic
462	#117×C₄₇	—	2	1	no	—
463	#117×C₄₇	—	2	1	no	—
464	#117×C₄₇	—	2	1	no	—
465	#117×C₄₇	—	2	1	no	—
466	#117×C₄₇	—	2	1	no	—
467	#117×C₄₇	C₂³	1	1	yes	characteristic
468	#117×C₄₇	C₂³	1	1	yes	characteristic
469	#117×C₄₇	C₂³	1	1	yes	characteristic
470	#117×C₄₇	C₂³	1	1	yes	characteristic
471	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
472	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
473	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
474	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
475	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
476	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
477	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
478	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
479	C₂×C₄²×C₄₇	—	2	1	no	—
480	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
481	C₂⁴×C₄₇	—	2	1	no	—
482	C₂³×D₄₇	—	2	1	no	—
483	#41×C₄₇	—	2	2	no	—
484	#41×C₄₇	—	2	2	no	—
485	#41×C₄₇	—	4	1	no	—
486	#41×C₄₇	—	4	1	no	—
487	C₂×Q₈×C₄₇	—	2	1	no	—
488	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
489	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
490	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
491	C₂×D₄×C₄₇	—	2	2	no	—
492	C₂×D₄×C₄₇	—	2	1	no	—
493	C₂×D₄×C₄₇	—	2	1	no	—
494	C₂×D₄×C₄₇	—	2	1	no	—
495	C₂×D₄×C₄₇	—	2	1	no	—
496	C₂×D₄×C₄₇	—	2	1	no	—
497	C₂×D₄×C₄₇	—	4	1	no	—
498	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
499	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
500	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
501	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₄₇	—	2	1	no	—
504	C₂²×C₄×C₄₇	—	2	1	no	—
505	C₂²×C₄×C₄₇	—	2	1	no	—
506	C₂²×C₄×C₄₇	—	2	1	no	—
507	C₂²×C₄×C₄₇	—	2	1	no	—
508	C₂²×C₄×C₄₇	—	2	1	no	—
509	C₂²×C₄×C₄₇	—	2	1	no	—
510	C₂²×C₄×C₄₇	—	2	1	no	—
511	C₂²×C₄×C₄₇	—	2	1	no	—
512	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
517	C₂×C₂²⋊D₄₇	—	2	1	no	—
518	C₂×C₂²⋊D₄₇	—	2	1	no	—
519	C₂×C₂²⋊D₄₇	—	2	1	no	—
520	C₂×C₂²⋊D₄₇	—	2	1	no	—
521	C₂²×Dic₄₇	—	2	1	no	—
522	#10625350	—	2	2	no	—
523	#10625350	—	2	2	no	—
524	#10625350	—	4	1	no	—
525	#10625350	—	4	1	no	—
526	C₂×D₁₈₈	—	2	2	no	—
527	C₂×D₁₈₈	—	2	1	no	—
528	C₂×D₁₈₈	—	4	1	no	—
529	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
530	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₄₇	—	2	1	no	—
532	C₂×C₄×D₄₇	—	2	1	no	—
533	C₂×C₄×D₄₇	—	2	1	no	—
534	C₂×C₄×D₄₇	—	2	1	no	—
535	C₂×C₄×D₄₇	—	2	1	no	—
536	C₂×C₄×D₄₇	—	2	1	no	—
537	C₂×C₄×D₄₇	—	2	1	no	—
538	C₂×C₄×D₄₇	—	2	1	no	—
539	C₂×Dic₉₄	—	2	1	no	—
540	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
541	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
542	C₄⋊C₄×C₄₇	—	2	1	no	—
543	C₄⋊C₄×C₄₇	—	2	1	no	—
544	C₄⋊C₄×C₄₇	—	2	1	no	—
545	C₄⋊C₄×C₄₇	—	2	1	no	—
546	C₄⋊C₄×C₄₇	—	2	1	no	—
547	C₄⋊C₄×C₄₇	—	2	1	no	—
548	C₄⋊C₄×C₄₇	—	2	1	no	—
549	C₄⋊C₄×C₄₇	—	2	1	no	—
550	C₄⋊C₄×C₄₇	—	2	1	no	—
551	C₄⋊C₄×C₄₇	—	2	1	no	—
552	C₄⋊C₄×C₄₇	—	2	1	no	—
553	C₄⋊C₄×C₄₇	—	2	1	no	—
554	C₄⋊C₄×C₄₇	—	2	1	no	—
555	C₄⋊C₄×C₄₇	—	2	1	no	—
556	C₄⋊C₄×C₄₇	—	2	1	no	—
557	C₄⋊C₄×C₄₇	—	2	1	no	—
558	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
559	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
560	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
561	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
562	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
563	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
564	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
565	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
566	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
567	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
568	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
569	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
570	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
571	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
572	C₂²⋊C₄×C₄₇	—	2	1	no	—
573	C₂²⋊C₄×C₄₇	—	2	1	no	—
574	C₂²⋊C₄×C₄₇	—	2	1	no	—
575	C₂²⋊C₄×C₄₇	—	2	1	no	—
576	C₂²⋊C₄×C₄₇	—	2	1	no	—
577	C₂²⋊C₄×C₄₇	—	2	1	no	—
578	C₂²⋊C₄×C₄₇	—	2	1	no	—
579	C₂²⋊C₄×C₄₇	—	2	1	no	—
580	C₂²⋊C₄×C₄₇	—	2	1	no	—
581	C₂²⋊C₄×C₄₇	—	2	1	no	—
582	C₂²⋊C₄×C₄₇	—	2	1	no	—
583	C₂²⋊C₄×C₄₇	—	2	1	no	—
584	C₂²⋊C₄×C₄₇	—	2	1	no	—
585	C₂²⋊C₄×C₄₇	—	2	1	no	—
586	C₂²⋊C₄×C₄₇	—	2	1	no	—
587	C₂²⋊C₄×C₄₇	—	2	1	no	—
588	C₂²⋊C₄×C₄₇	—	2	1	no	—
589	C₂²⋊C₄×C₄₇	—	2	1	no	—
590	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
591	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
592	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
593	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
594	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
595	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
596	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
597	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
598	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
599	C₂²⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
600	C₄²×C₄₇	—	2	1	no	—
601	C₄²×C₄₇	—	2	1	no	—
602	C₄²×C₄₇	—	2	1	no	—
603	C₄²×C₄₇	—	2	1	no	—
604	C₄²×C₄₇	—	2	1	no	—
605	C₄²×C₄₇	—	2	1	no	—
606	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
609	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
610	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
611	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
612	C₂²⋊Dic₄₇	—	2	1	no	—
613	C₂²⋊Dic₄₇	—	2	1	no	—
614	C₂²⋊Dic₄₇	—	2	1	no	—
615	C₂²⋊Dic₄₇	—	2	1	no	—
616	C₂²⋊Dic₄₇	—	2	1	no	—
617	C₂²⋊Dic₄₇	—	2	1	no	—
618	#10625337	—	2	2	no	—
619	#10625337	—	2	2	no	—
620	#10625337	—	4	1	no	—
621	#10625337	—	4	1	no	—
622	#10625336	—	2	2	no	—
623	#10625336	—	2	2	no	—
624	#10625336	—	4	1	no	—
625	#10625336	—	4	1	no	—
626	#10625335	—	2	2	no	—
627	#10625335	—	2	2	no	—
628	#10625335	—	4	1	no	—
629	#10625335	—	4	1	no	—
630	#10625334	—	2	2	no	—
631	#10625334	—	2	2	no	—
632	#10625334	—	2	2	no	—
633	#10625334	#41	1	4	yes	—
634	(C₂×D₄₇)⋊C₄	—	2	1	no	—
635	(C₂×D₄₇)⋊C₄	—	2	1	no	—
636	(C₂×D₄₇)⋊C₄	—	2	1	no	—
637	(C₂×D₄₇)⋊C₄	—	2	1	no	—
638	(C₂×D₄₇)⋊C₄	—	2	1	no	—
639	(C₂×D₄₇)⋊C₄	—	2	1	no	—
640	(C₂×D₄₇)⋊C₄	—	2	1	no	—
641	(C₂×D₄₇)⋊C₄	—	2	1	no	—
642	(C₂×D₄₇)⋊C₄	—	2	1	no	—
643	(C₂×D₄₇)⋊C₄	—	2	1	no	—
644	(C₂×D₄₇)⋊C₄	—	2	1	no	—
645	(C₂×D₄₇)⋊C₄	—	2	1	no	—
646	C₄⋊Dic₄₇	—	2	1	no	—
647	C₄⋊Dic₄₇	—	2	1	no	—
648	C₄⋊Dic₄₇	—	2	1	no	—
649	C₄⋊Dic₄₇	—	2	1	no	—
650	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
654	Dic₄₇⋊C₄	—	2	1	no	—
655	Dic₄₇⋊C₄	—	2	1	no	—
656	Dic₄₇⋊C₄	—	2	1	no	—
657	Dic₄₇⋊C₄	—	2	1	no	—
658	Dic₄₇⋊C₄	—	2	1	no	—
659	Dic₄₇⋊C₄	—	2	1	no	—
660	Dic₄₇⋊C₄	—	2	1	no	—
661	Dic₄₇⋊C₄	—	2	1	no	—
662	Dic₄₇⋊C₄	—	2	1	no	—
663	Dic₄₇⋊C₄	—	2	1	no	—
664	Dic₄₇⋊C₄	—	2	1	no	—
665	Dic₄₇⋊C₄	—	2	1	no	—
666	C₄×Dic₄₇	—	2	1	no	—
667	C₄×Dic₄₇	—	2	1	no	—
668	C₄×Dic₄₇	—	2	1	no	—
669	C₄×Dic₄₇	—	2	1	no	—
670	C₄×Dic₄₇	—	2	1	no	—
671	C₄×Dic₄₇	—	2	1	no	—
672	#10625329	—	4	1	no	—
673	#10625329	—	4	1	no	—
674	C₂×C₄₇⋊C₈	—	2	2	no	—
675	C₂×C₄₇⋊C₈	—	2	2	no	—
676	C₂×C₄₇⋊C₈	—	2	2	no	—
677	C₂×C₄₇⋊C₈	—	4	1	no	—
678	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
679	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
680	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
681	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
682	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
683	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
684	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
685	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
686	C₂³×C₄₇	—	2	1	no	—
687	C₂³×C₄₇	—	2	1	no	—
688	C₂³×C₄₇	—	4	2	no	—
689	C₂³×C₄₇	—	8	1	no	—
690	C₂³×C₄₇	—	8	1	no	—
691	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
692	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
693	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
694	C₂²×D₄₇	—	2	1	no	—
695	C₂²×D₄₇	—	2	1	no	—
696	C₂²×D₄₇	—	4	2	no	—
697	C₂²×D₄₇	—	8	1	no	—
698	C₂²×D₄₇	—	8	1	no	—
699	Q₈×C₄₇	—	2	1	no	—
700	Q₈×C₄₇	—	2	1	no	—
701	Q₈×C₄₇	—	2	1	no	—
702	Q₈×C₄₇	—	2	1	no	—
703	Q₈×C₄₇	—	4	1	no	—
704	Q₈×C₄₇	—	8	1	no	—
705	D₄×C₄₇	—	2	1	no	—
706	D₄×C₄₇	—	2	1	no	—
707	D₄×C₄₇	—	2	1	no	—
708	D₄×C₄₇	—	4	1	no	—
709	D₄×C₄₇	—	4	1	no	—
710	D₄×C₄₇	—	4	1	no	—
711	D₄×C₄₇	—	4	2	no	—
712	D₄×C₄₇	—	4	2	no	—
713	D₄×C₄₇	—	4	2	no	—
714	D₄×C₄₇	—	8	1	no	—
715	D₄×C₄₇	—	8	1	no	—
716	D₄×C₄₇	C₂×#41	1	2	yes	—
717	C₂×C₄×C₄₇	—	2	1	no	—
718	C₂×C₄×C₄₇	—	2	1	no	—
719	C₂×C₄×C₄₇	—	2	1	no	—
720	C₂×C₄×C₄₇	—	2	1	no	—
721	C₂×C₄×C₄₇	—	2	1	no	—
722	C₂×C₄×C₄₇	—	2	1	no	—
723	C₂×C₄×C₄₇	—	2	1	no	—
724	C₂×C₄×C₄₇	—	2	1	no	—
725	C₂×C₄×C₄₇	—	2	1	no	—
726	C₂×C₄×C₄₇	—	2	1	no	—
727	C₂×C₄×C₄₇	—	2	1	no	—
728	C₂×C₄×C₄₇	—	2	1	no	—
729	C₂×C₄×C₄₇	—	4	1	no	—
730	C₂×C₄×C₄₇	—	4	1	no	—
731	C₂×C₄×C₄₇	—	4	2	no	—
732	C₂×C₄×C₄₇	—	4	2	no	—
733	C₂×C₄×C₄₇	—	8	1	no	—
734	C₂×C₄×C₄₇	—	8	1	no	—
735	C₂×C₄×C₄₇	—	8	1	no	—
736	C₂×C₄×C₄₇	—	8	1	no	—
737	C₂×C₄×C₄₇	—	8	1	no	—
738	C₂×C₄×C₄₇	—	8	1	no	—
739	C₂×C₄×C₄₇	—	8	1	no	—
740	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
741	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
742	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
743	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
744	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
745	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
747	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
749	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
752	C₂²⋊D₄₇	—	4	2	no	—
753	C₂²⋊D₄₇	—	4	2	no	—
754	C₂²⋊D₄₇	—	8	1	no	—
755	C₂²⋊D₄₇	—	8	1	no	—
756	C₂×Dic₄₇	—	2	1	no	—
757	C₂×Dic₄₇	—	2	1	no	—
758	C₂×Dic₄₇	—	2	1	no	—
759	C₂×Dic₄₇	—	2	1	no	—
760	C₂×Dic₄₇	—	2	1	no	—
761	C₂×Dic₄₇	—	2	1	no	—
762	C₂×Dic₄₇	—	8	1	no	—
763	D₁₈₈	—	2	1	no	—
764	D₁₈₈	—	2	1	no	—
765	D₁₈₈	—	2	1	no	—
766	D₁₈₈	—	4	2	no	—
767	D₁₈₈	C₂×#41	1	2	yes	—
768	C₄×D₄₇	—	4	2	no	—
769	C₄×D₄₇	—	4	2	no	—
770	C₄×D₄₇	—	8	1	no	—
771	C₄×D₄₇	—	8	1	no	—
772	C₄×D₄₇	—	8	1	no	—
773	C₄×D₄₇	—	8	1	no	—
774	C₄×D₄₇	—	8	1	no	—
775	C₄×D₄₇	—	8	1	no	—
776	Dic₉₄	—	2	1	no	—
777	Dic₉₄	—	2	1	no	—
778	Dic₉₄	—	2	1	no	—
779	Dic₉₄	—	2	1	no	—
780	Dic₉₄	—	8	1	no	—
781	C₄₇⋊C₈	—	2	1	no	—
782	C₄₇⋊C₈	—	2	1	no	—
783	C₄₇⋊C₈	—	2	1	no	—
784	C₄₇⋊C₈	—	2	1	no	—
785	C₄₇⋊C₈	—	2	1	no	—
786	C₄₇⋊C₈	—	2	1	no	—
787	C₄₇⋊C₈	—	2	1	no	—
788	C₄₇⋊C₈	C₂×#41	1	2	yes	—
789	#61487	—	47	1	no	maximal, Sylow
790	C₂²×C₄₇	—	2	1	no	—
791	C₂²×C₄₇	—	2	1	no	—
792	C₂²×C₄₇	—	2	1	no	—
793	C₂²×C₄₇	—	2	1	no	—
794	C₂²×C₄₇	—	2	1	no	—
795	C₂²×C₄₇	—	2	1	no	—
796	C₂²×C₄₇	—	2	1	no	—
797	C₂²×C₄₇	—	2	1	no	—
798	C₂²×C₄₇	—	2	1	no	—
799	C₂²×C₄₇	—	2	2	no	—
800	C₂²×C₄₇	—	4	1	no	—
801	C₂²×C₄₇	—	4	1	no	—
802	C₂²×C₄₇	—	4	1	no	—
803	C₂²×C₄₇	—	4	1	no	—
804	C₂²×C₄₇	—	4	1	no	—
805	C₂²×C₄₇	—	16	2	no	—
806	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
807	C₂×D₄₇	—	2	2	no	—
808	C₂×D₄₇	—	4	1	no	—
809	C₂×D₄₇	—	4	1	no	—
810	C₂×D₄₇	—	4	1	no	—
811	C₂×D₄₇	—	4	1	no	—
812	C₂×D₄₇	—	4	1	no	—
813	C₂×D₄₇	—	16	2	no	—
814	C₄×C₄₇	—	2	1	no	—
815	C₄×C₄₇	—	2	1	no	—
816	C₄×C₄₇	—	2	1	no	—
817	C₄×C₄₇	—	2	1	no	—
818	C₄×C₄₇	—	2	1	no	—
819	C₄×C₄₇	—	2	1	no	—
820	C₄×C₄₇	—	2	1	no	—
821	C₄×C₄₇	—	2	1	no	—
822	C₄×C₄₇	—	2	1	no	—
823	C₄×C₄₇	—	2	1	no	—
824	C₄×C₄₇	—	2	1	no	—
825	C₄×C₄₇	—	4	1	no	—
826	C₄×C₄₇	—	4	1	no	—
827	C₄×C₄₇	—	4	1	no	—
828	C₄×C₄₇	—	4	1	no	—
829	C₄×C₄₇	—	4	1	no	—
830	C₄×C₄₇	—	4	1	no	—
831	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
832	C₄×C₄₇	#585	1	1	yes	characteristic
833	Dic₄₇	—	4	1	no	—
834	Dic₄₇	—	4	1	no	—
835	Dic₄₇	—	4	1	no	—
836	Dic₄₇	—	4	1	no	—
837	Dic₄₇	—	4	1	no	—
838	Dic₄₇	—	4	1	no	—
839	#3521	—	47	1	no	—
840	#3521	D₄₇	1	1	yes	characteristic, complemented
841	#3393	—	47	1	no	—
842	#3380	—	47	1	no	—
843	#3376	—	47	1	no	—
844	#3376	—	47	1	no	—
845	#3342	—	47	1	no	—
846	#3339	—	47	1	no	—
847	#3336	—	47	1	no	—
848	#3323	—	47	1	no	—
849	#3323	—	47	1	no	—
850	#3311	—	47	1	no	—
851	#3311	—	47	1	no	—
852	#3307	—	47	1	no	—
853	#3307	—	47	1	no	—
854	#3283	—	47	1	no	—
855	#3280	—	47	1	no	—
856	#3280	—	47	1	no	—
857	#3177	—	47	1	no	—
858	#3175	—	47	1	no	—
859	#3168	—	47	1	no	—
860	#3125	—	47	1	no	—
861	#3125	—	47	1	no	—
862	#3123	—	47	1	no	—
863	#3123	—	47	1	no	—
864	#3111	—	47	1	no	—
865	#3111	—	47	1	no	—
866	#2966	—	47	1	no	—
867	#2951	—	47	1	no	—
868	#2948	—	47	1	no	—
869	C₄×#135	—	47	1	no	—
870	C₂×C₄₇	—	4	1	no	—
871	C₂×C₄₇	—	4	1	no	—
872	C₂×C₄₇	—	4	1	no	—
873	C₂×C₄₇	—	4	2	no	—
874	C₂×C₄₇	—	8	1	no	—
875	C₂×C₄₇	D₄×#41	1	1	yes	characteristic
876	C₂×C₄₇	#3584	1	1	yes	characteristic
877	C₂×C₄₇	#3584	1	1	yes	characteristic
878	D₄₇	—	4	2	no	—
879	D₄₇	—	8	1	no	—
880	C₂×#135	—	47	1	no	—
881	C₂×#135	—	47	1	no	—
882	C₂²×D₈	—	47	1	no	—
883	#556	—	47	1	no	—
884	#556	—	47	1	no	—
885	#556	C₂×D₄₇	1	1	yes	characteristic
886	#556	C₂×D₄₇	1	1	yes	characteristic, complemented
887	#554	—	47	1	no	—
888	#554	C₂×D₄₇	1	1	yes	characteristic, complemented
889	#553	—	2	1	no	—
890	#553	—	47	1	no	—
891	#553	—	94	1	no	—
892	#553	C₂×D₄₇	1	1	yes	characteristic, complemented
893	#552	—	2	1	no	—
894	#552	—	47	1	no	—
895	#552	—	94	1	no	—
896	#552	C₂×D₄₇	1	1	yes	characteristic
897	#551	—	2	1	no	—
898	#551	—	2	1	no	—
899	#551	—	94	1	no	—
900	#551	—	94	1	no	—
901	#547	—	47	1	no	—
902	#547	C₂×D₄₇	1	1	yes	characteristic, complemented
903	#546	—	47	1	no	—
904	#546	—	47	1	no	—
905	#546	C₂×D₄₇	1	1	yes	characteristic
906	#546	C₂×D₄₇	1	1	yes	characteristic
907	#542	—	47	1	no	—
908	#542	C₂×D₄₇	1	1	yes	characteristic, complemented
909	#541	—	47	1	no	—
910	#541	C₂×D₄₇	1	1	yes	characteristic
911	#539	—	2	1	no	—
912	#539	—	94	1	no	—
913	#538	—	2	1	no	—
914	#538	—	94	1	no	—
915	#529	—	2	1	no	—
916	#529	—	47	1	no	—
917	#529	—	94	1	no	—
918	#529	C₂×D₄₇	1	1	yes	characteristic
919	#529	C₂×D₄₇	1	1	yes	characteristic, complemented
920	C₂×#126	—	2	1	no	—
921	C₂×#126	—	94	1	no	—
922	#520	—	47	1	no	—
923	#520	C₂×D₄₇	1	1	yes	characteristic, complemented
924	#518	—	47	1	no	—
925	#518	C₂×D₄₇	1	1	yes	characteristic
926	C₄×#41	—	47	1	no	—
927	C₄×#41	C₂×D₄₇	1	1	yes	characteristic, complemented
928	#500	—	47	1	no	—
929	#499	—	47	1	no	—
930	#499	—	47	1	no	—
931	#495	—	47	1	no	—
932	#495	—	47	1	no	—
933	#494	—	47	1	no	—
934	#491	—	47	1	no	—
935	#491	—	47	1	no	—
936	#489	—	47	1	no	—
937	#489	—	47	1	no	—
938	#488	—	47	1	no	—
939	#488	—	47	1	no	—
940	#485	—	47	1	no	—
941	#485	—	47	1	no	—
942	#485	—	47	1	no	—
943	#485	—	47	1	no	—
944	#485	—	47	1	no	—
945	#485	—	47	1	no	—
946	#483	—	47	1	no	—
947	#483	—	47	1	no	—
948	#482	—	47	1	no	—
949	#482	—	47	1	no	—
950	#481	—	47	1	no	—
951	#481	—	47	1	no	—
952	#479	—	47	1	no	—
953	#479	—	47	1	no	—
954	#478	—	47	1	no	—
955	#478	—	47	1	no	—
956	#478	—	47	1	no	—
957	#478	—	47	1	no	—
958	#478	—	47	1	no	—
959	#478	—	47	1	no	—
960	#476	—	47	1	no	—
961	#476	—	47	1	no	—
962	#475	—	47	1	no	—
963	#475	—	47	1	no	—
964	#470	—	47	1	no	—
965	#470	—	47	1	no	—
966	#468	—	47	1	no	—
967	#468	—	47	1	no	—
968	#467	—	47	1	no	—
969	#467	—	47	1	no	—
970	#467	—	47	1	no	—
971	#467	—	47	1	no	—
972	#466	—	47	1	no	—
973	#466	—	47	1	no	—
974	#465	—	47	1	no	—
975	#465	—	47	1	no	—
976	#464	—	47	1	no	—
977	#464	—	47	1	no	—
978	#464	—	47	1	no	—
979	#464	—	47	1	no	—
980	#463	—	47	1	no	—
981	#463	—	47	1	no	—
982	#463	—	47	1	no	—
983	#463	—	47	1	no	—
984	#461	—	47	1	no	—
985	#461	—	47	1	no	—
986	#461	—	47	1	no	—
987	#461	—	47	1	no	—
988	#452	—	47	1	no	—
989	#452	—	47	1	no	—
990	#452	—	47	1	no	—
991	#452	—	47	1	no	—
992	#450	—	47	1	no	—
993	#450	—	47	1	no	—
994	#450	—	47	1	no	—
995	#450	—	47	1	no	—
996	#449	—	47	1	no	—
997	#449	—	47	1	no	—
998	#449	—	47	1	no	—
999	#449	—	47	1	no	—
1000	#446	—	47	1	no	—
1001	C₈×Q₈	—	47	1	no	—
1002	#442	—	47	1	no	—
1003	#442	—	47	1	no	—
1004	#442	—	47	1	no	—
1005	#442	—	47	1	no	—
1006	#441	—	47	1	no	—
1007	#441	—	47	1	no	—
1008	#440	—	47	1	no	—
1009	#440	—	47	1	no	—
1010	#440	—	47	1	no	—
1011	#440	—	47	1	no	—
1012	#440	—	47	1	no	—
1013	#440	—	47	1	no	—
1014	C₄×Q₁₆	—	47	1	no	—
1015	C₄×Q₁₆	—	47	1	no	—
1016	C₄×Q₁₆	—	47	1	no	—
1017	C₄×Q₁₆	—	47	1	no	—
1018	C₄×SD₁₆	—	47	1	no	—
1019	C₄×SD₁₆	—	47	1	no	—
1020	C₄×SD₁₆	—	47	1	no	—
1021	C₄×SD₁₆	—	47	1	no	—
1022	C₄×SD₁₆	—	47	1	no	—
1023	C₄×SD₁₆	—	47	1	no	—
1024	C₄×D₈	—	47	1	no	—
1025	C₄×D₈	—	47	1	no	—
1026	C₄×D₈	—	47	1	no	—
1027	C₄×D₈	—	47	1	no	—
1028	C₄×D₈	—	47	1	no	—
1029	C₄×D₈	—	47	1	no	—
1030	#436	—	47	1	no	—
1031	#435	—	47	1	no	—
1032	#435	—	47	1	no	—
1033	C₈×D₄	—	47	1	no	—
1034	C₈×D₄	—	47	1	no	—
1035	C₈×D₄	—	47	1	no	—
1036	#433	—	47	1	no	—
1037	#433	—	47	1	no	—
1038	#432	—	47	1	no	—
1039	#427	—	47	1	no	—
1040	#427	—	47	1	no	—
1041	C₂×#107	—	47	1	no	—
1042	#418	—	47	1	no	—
1043	#418	—	47	1	no	—
1044	#417	—	47	1	no	—
1045	#417	—	47	1	no	—
1046	#416	—	47	1	no	—
1047	#416	—	47	1	no	—
1048	#405	—	47	1	no	—
1049	#405	—	47	1	no	—
1050	C₂×C₄×C₈	—	47	1	no	—
1051	C₄₇	#61487	1	1	yes	characteristic, complemented, Sylow
1052	C₂×#41	—	47	1	no	—
1053	C₂×#41	—	47	1	no	—
1054	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1055	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
1056	C₂²×D₄	—	47	1	no	—
1057	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
1058	#135	—	94	4	no	—
1059	#135	—	94	4	no	—
1060	C₂×Q₁₆	—	47	1	no	—
1061	C₂×Q₁₆	—	47	1	no	—
1062	C₂×Q₁₆	—	47	1	no	—
1063	C₂×Q₁₆	—	47	1	no	—
1064	C₂×SD₁₆	—	47	1	no	—
1065	C₂×SD₁₆	—	47	1	no	—
1066	C₂×SD₁₆	—	47	1	no	—
1067	C₂×SD₁₆	—	47	1	no	—
1068	C₂×SD₁₆	—	47	1	no	—
1069	C₂×SD₁₆	—	47	1	no	—
1070	C₂×SD₁₆	—	47	1	no	—
1071	C₂×SD₁₆	—	47	1	no	—
1072	C₂×D₈	—	47	1	no	—
1073	C₂×D₈	—	47	1	no	—
1074	C₂×D₈	—	47	1	no	—
1075	C₂×D₈	—	47	1	no	—
1076	C₂×D₈	—	94	4	no	—
1077	C₂×M₁₆	—	47	1	no	—
1078	C₂×M₁₆	—	47	1	no	—
1079	C₂²×C₈	—	47	1	no	—
1080	C₂²×C₈	—	47	1	no	—
1081	C₂²×C₈	—	47	1	no	—
1082	C₂²×C₈	—	47	1	no	—
1083	C₄⋊Q₈	—	47	1	no	—
1084	C₄⋊Q₈	—	47	1	no	—
1085	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1086	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	—	2	1	no	—
1095	#126	—	2	1	no	—
1096	#126	—	2	1	no	—
1097	#126	—	94	1	no	—
1098	#126	—	94	1	no	—
1099	#126	—	94	1	no	—
1100	#126	—	94	1	no	—
1101	#126	—	94	1	no	—
1102	#126	—	94	1	no	—
1103	#126	—	94	1	no	—
1104	#126	—	94	1	no	—
1105	#126	—	94	1	no	—
1106	#126	—	94	1	no	—
1107	#126	C₂²⋊D₄₇	1	1	yes	characteristic
1108	#126	C₂²⋊D₄₇	1	1	yes	characteristic
1109	#125	—	2	1	no	—
1110	#125	—	2	1	no	—
1111	#125	—	2	1	no	—
1112	#125	—	47	1	no	—
1113	#125	—	47	1	no	—
1114	#125	—	94	1	no	—
1115	#125	—	94	1	no	—
1116	#125	—	94	1	no	—
1117	#125	C₂²⋊D₄₇	1	1	yes	characteristic
1118	#125	C₂²×D₄₇	1	1	yes	characteristic
1119	#125	C₂²×D₄₇	1	1	yes	characteristic
1120	#124	—	2	1	no	—
1121	#124	—	2	1	no	—
1122	#124	—	47	1	no	—
1123	#124	—	47	1	no	—
1124	#124	—	94	1	no	—
1125	#124	—	94	1	no	—
1126	#124	C₂²⋊D₄₇	1	1	yes	characteristic
1127	#124	C₂²×D₄₇	1	1	yes	characteristic
1128	#124	C₂²×D₄₇	1	1	yes	characteristic
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	94	1	no	—
1138	#123	—	94	1	no	—
1139	#123	—	94	1	no	—
1140	#123	—	94	1	no	—
1141	#123	—	94	1	no	—
1142	#123	—	94	1	no	—
1143	#123	—	94	1	no	—
1144	#123	—	94	1	no	—
1145	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1146	#123	C₂²⋊D₄₇	1	1	yes	characteristic
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	47	1	no	—
1153	C₂²⋊Q₈	—	47	1	no	—
1154	C₂²⋊Q₈	—	47	1	no	—
1155	C₂²⋊Q₈	—	47	1	no	—
1156	C₂²⋊Q₈	—	94	1	no	—
1157	C₂²⋊Q₈	—	94	1	no	—
1158	C₂²⋊Q₈	—	94	1	no	—
1159	C₂²⋊Q₈	—	94	1	no	—
1160	C₂²⋊Q₈	—	94	1	no	—
1161	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1165	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	47	1	no	—
1171	#121	—	47	1	no	—
1172	#121	—	94	1	no	—
1173	#121	—	94	1	no	—
1174	#121	—	94	1	no	—
1175	#121	—	94	1	no	—
1176	#121	C₂²⋊D₄₇	1	1	yes	characteristic
1177	#121	C₂²×D₄₇	1	1	yes	characteristic
1178	#121	C₂²×D₄₇	1	1	yes	characteristic
1179	#120	—	2	1	no	—
1180	#120	—	2	1	no	—
1181	#120	—	94	1	no	—
1182	#120	—	94	1	no	—
1183	C₄×Q₈	—	2	1	no	—
1184	C₄×Q₈	—	47	1	no	—
1185	C₄×Q₈	—	47	1	no	—
1186	C₄×Q₈	—	47	1	no	—
1187	C₄×Q₈	—	47	1	no	—
1188	C₄×Q₈	—	94	1	no	—
1189	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1190	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1191	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1193	C₄×Q₈	C₂²×D₄₇	1	1	yes	characteristic
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	2	1	no	—
1196	C₄×D₄	—	2	1	no	—
1197	C₄×D₄	—	2	1	no	—
1198	C₄×D₄	—	2	1	no	—
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	2	1	no	—
1202	C₄×D₄	—	47	1	no	—
1203	C₄×D₄	—	47	1	no	—
1204	C₄×D₄	—	47	1	no	—
1205	C₄×D₄	—	47	1	no	—
1206	C₄×D₄	—	47	1	no	—
1207	C₄×D₄	—	47	1	no	—
1208	C₄×D₄	—	94	1	no	—
1209	C₄×D₄	—	94	1	no	—
1210	C₄×D₄	—	94	1	no	—
1211	C₄×D₄	—	94	1	no	—
1212	C₄×D₄	—	94	1	no	—
1213	C₄×D₄	—	94	1	no	—
1214	C₄×D₄	—	94	1	no	—
1215	C₄×D₄	—	94	1	no	—
1216	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1217	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1218	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1219	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1220	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1221	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1222	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1223	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1224	C₄×D₄	C₂²×D₄₇	1	1	yes	characteristic
1225	#117	—	2	1	no	—
1226	#117	—	2	1	no	—
1227	#117	—	2	1	no	—
1228	#117	—	2	1	no	—
1229	#117	—	2	1	no	—
1230	#117	—	47	1	no	—
1231	#117	—	47	1	no	—
1232	#117	—	94	1	no	—
1233	#117	—	94	1	no	—
1234	#117	—	94	1	no	—
1235	#117	—	94	1	no	—
1236	#117	—	94	1	no	—
1237	#117	C₂²×D₄₇	1	1	yes	characteristic
1238	#117	C₂²×D₄₇	1	1	yes	characteristic
1239	#117	C₂²×D₄₇	1	1	yes	characteristic
1240	#117	C₂²×D₄₇	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	—	2	1	no	—
1243	C₂×C₄⋊C₄	—	2	1	no	—
1244	C₂×C₄⋊C₄	—	47	1	no	—
1245	C₂×C₄⋊C₄	—	94	1	no	—
1246	C₂×C₄⋊C₄	—	94	1	no	—
1247	C₂×C₄⋊C₄	—	94	1	no	—
1248	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
1249	C₂×C₂²⋊C₄	—	2	1	no	—
1250	C₂×C₂²⋊C₄	—	2	1	no	—
1251	C₂×C₂²⋊C₄	—	2	1	no	—
1252	C₂×C₂²⋊C₄	—	2	1	no	—
1253	C₂×C₂²⋊C₄	—	94	1	no	—
1254	C₂×C₂²⋊C₄	—	94	1	no	—
1255	C₂×C₂²⋊C₄	—	94	1	no	—
1256	C₂×C₂²⋊C₄	—	94	1	no	—
1257	C₂×C₄²	—	2	1	no	—
1258	C₂×C₄²	—	94	1	no	—
1259	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
1260	#107	—	47	1	no	—
1261	#107	—	47	1	no	—
1262	#107	—	47	1	no	—
1263	#107	—	47	1	no	—
1264	#107	—	47	1	no	—
1265	#107	—	47	1	no	—
1266	#107	—	47	1	no	—
1267	#107	—	47	1	no	—
1268	#106	—	47	1	no	—
1269	#106	—	47	1	no	—
1270	#106	—	47	1	no	—
1271	#106	—	47	1	no	—
1272	#106	—	47	1	no	—
1273	#106	—	47	1	no	—
1274	#106	—	47	1	no	—
1275	#106	—	47	1	no	—
1276	C₄⋊C₈	—	47	1	no	—
1277	C₄⋊C₈	—	47	1	no	—
1278	C₄⋊C₈	—	47	1	no	—
1279	C₄⋊C₈	—	47	1	no	—
1280	C₄⋊C₈	—	47	1	no	—
1281	C₄⋊C₈	—	47	1	no	—
1282	#103	—	47	1	no	—
1283	#103	—	47	1	no	—
1284	#103	—	47	1	no	—
1285	#103	—	47	1	no	—
1286	#103	—	47	1	no	—
1287	#103	—	47	1	no	—
1288	#103	—	47	1	no	—
1289	#103	—	47	1	no	—
1290	#103	—	47	1	no	—
1291	#103	—	47	1	no	—
1292	#103	—	47	1	no	—
1293	#103	—	47	1	no	—
1294	#103	—	47	1	no	—
1295	#103	—	47	1	no	—
1296	#103	—	47	1	no	—
1297	#103	—	47	1	no	—
1298	#102	—	47	1	no	—
1299	#102	—	47	1	no	—
1300	#102	—	47	1	no	—
1301	#102	—	47	1	no	—
1302	#102	—	47	1	no	—
1303	#102	—	47	1	no	—
1304	#102	—	47	1	no	—
1305	#102	—	47	1	no	—
1306	#102	—	47	1	no	—
1307	#102	—	47	1	no	—
1308	#102	—	47	1	no	—
1309	#102	—	47	1	no	—
1310	#102	—	47	1	no	—
1311	#102	—	47	1	no	—
1312	#102	—	47	1	no	—
1313	#102	—	47	1	no	—
1314	C₂²⋊C₈	—	47	1	no	—
1315	C₂²⋊C₈	—	47	1	no	—
1316	C₂²⋊C₈	—	47	1	no	—
1317	C₂²⋊C₈	—	47	1	no	—
1318	C₂²⋊C₈	—	47	1	no	—
1319	C₂²⋊C₈	—	47	1	no	—
1320	#97	—	47	1	no	—
1321	#97	—	47	1	no	—
1322	#97	—	47	1	no	—
1323	#97	—	47	1	no	—
1324	C₄×C₈	—	47	1	no	—
1325	C₄×C₈	—	47	1	no	—
1326	C₄×C₈	—	47	1	no	—
1327	C₄×C₈	—	47	1	no	—
1328	C₄×C₈	—	47	1	no	—
1329	C₄×C₈	—	47	1	no	—
1330	C₂⁴	—	2	1	no	—
1331	C₂⁴	—	94	1	no	—
1332	#41	—	2	2	no	—
1333	#41	—	2	2	no	—
1334	#41	—	4	1	no	—
1335	#41	—	4	1	no	—
1336	#41	—	94	2	no	—
1337	#41	—	94	2	no	—
1338	#41	—	188	1	no	—
1339	#41	—	188	1	no	—
1340	C₂×Q₈	—	2	1	no	—
1341	C₂×Q₈	—	47	1	no	—
1342	C₂×Q₈	—	47	1	no	—
1343	C₂×Q₈	—	94	1	no	—
1344	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1345	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1346	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
1347	C₂×D₄	—	2	2	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	2	1	no	—
1350	C₂×D₄	—	2	1	no	—
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	4	1	no	—
1354	C₂×D₄	—	47	1	no	—
1355	C₂×D₄	—	47	1	no	—
1356	C₂×D₄	—	94	2	no	—
1357	C₂×D₄	—	94	1	no	—
1358	C₂×D₄	—	94	1	no	—
1359	C₂×D₄	—	94	1	no	—
1360	C₂×D₄	—	94	1	no	—
1361	C₂×D₄	—	94	1	no	—
1362	C₂×D₄	—	188	1	no	—
1363	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1364	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1365	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1366	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1367	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1368	C₂²×C₄	—	2	1	no	—
1369	C₂²×C₄	—	2	1	no	—
1370	C₂²×C₄	—	2	1	no	—
1371	C₂²×C₄	—	2	1	no	—
1372	C₂²×C₄	—	2	1	no	—
1373	C₂²×C₄	—	2	1	no	—
1374	C₂²×C₄	—	2	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	94	1	no	—
1378	C₂²×C₄	—	94	1	no	—
1379	C₂²×C₄	—	94	1	no	—
1380	C₂²×C₄	—	94	1	no	—
1381	C₂²×C₄	—	94	1	no	—
1382	C₂²×C₄	—	94	1	no	—
1383	C₂²×C₄	—	94	1	no	—
1384	C₂²×C₄	—	94	1	no	—
1385	C₂²×C₄	—	94	1	no	—
1386	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1387	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1388	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1389	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1390	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1391	Q₁₆	—	94	2	no	—
1392	Q₁₆	—	94	2	no	—
1393	Q₁₆	—	188	1	no	—
1394	Q₁₆	—	188	1	no	—
1395	SD₁₆	—	94	2	no	—
1396	SD₁₆	—	94	2	no	—
1397	SD₁₆	—	94	2	no	—
1398	SD₁₆	—	94	2	no	—
1399	SD₁₆	—	188	1	no	—
1400	SD₁₆	—	188	1	no	—
1401	SD₁₆	—	188	1	no	—
1402	SD₁₆	—	188	1	no	—
1403	D₈	—	47	4	no	—
1404	D₈	—	94	2	no	—
1405	D₈	—	94	2	no	—
1406	D₈	—	94	2	no	—
1407	M₁₆	—	188	1	no	—
1408	M₁₆	—	188	1	no	—
1409	C₂×C₈	—	47	1	no	—
1410	C₂×C₈	—	47	1	no	—
1411	C₂×C₈	—	47	1	no	—
1412	C₂×C₈	—	47	1	no	—
1413	C₂×C₈	—	47	1	no	—
1414	C₂×C₈	—	47	1	no	—
1415	C₂×C₈	—	47	1	no	—
1416	C₂×C₈	—	47	1	no	—
1417	C₂×C₈	—	94	2	no	—
1418	C₂×C₈	—	94	2	no	—
1419	C₂×C₈	—	94	2	no	—
1420	C₂×C₈	—	188	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	47	1	no	—
1438	C₄⋊C₄	—	47	1	no	—
1439	C₄⋊C₄	—	47	1	no	—
1440	C₄⋊C₄	—	47	1	no	—
1441	C₄⋊C₄	—	94	1	no	—
1442	C₄⋊C₄	—	94	1	no	—
1443	C₄⋊C₄	—	94	1	no	—
1444	C₄⋊C₄	—	94	1	no	—
1445	C₄⋊C₄	—	94	1	no	—
1446	C₄⋊C₄	—	94	1	no	—
1447	C₄⋊C₄	—	94	1	no	—
1448	C₄⋊C₄	—	94	1	no	—
1449	C₄⋊C₄	—	94	1	no	—
1450	C₄⋊C₄	—	94	1	no	—
1451	C₄⋊C₄	—	94	1	no	—
1452	C₄⋊C₄	—	94	1	no	—
1453	C₄⋊C₄	—	94	1	no	—
1454	C₄⋊C₄	—	94	1	no	—
1455	C₄⋊C₄	—	94	1	no	—
1456	C₄⋊C₄	—	94	1	no	—
1457	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1458	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1459	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1460	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1461	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1465	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1467	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1468	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1469	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	94	1	no	—
1490	C₂²⋊C₄	—	94	1	no	—
1491	C₂²⋊C₄	—	94	1	no	—
1492	C₂²⋊C₄	—	94	1	no	—
1493	C₂²⋊C₄	—	94	1	no	—
1494	C₂²⋊C₄	—	94	1	no	—
1495	C₂²⋊C₄	—	94	1	no	—
1496	C₂²⋊C₄	—	94	1	no	—
1497	C₂²⋊C₄	—	94	1	no	—
1498	C₂²⋊C₄	—	94	1	no	—
1499	C₂²⋊C₄	—	94	1	no	—
1500	C₂²⋊C₄	—	94	1	no	—
1501	C₂²⋊C₄	—	94	1	no	—
1502	C₂²⋊C₄	—	94	1	no	—
1503	C₂²⋊C₄	—	94	1	no	—
1504	C₂²⋊C₄	—	94	1	no	—
1505	C₂²⋊C₄	—	94	1	no	—
1506	C₂²⋊C₄	—	94	1	no	—
1507	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1508	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1509	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1510	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1511	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1512	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1513	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1514	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	94	1	no	—
1524	C₄²	—	94	1	no	—
1525	C₄²	—	94	1	no	—
1526	C₄²	—	94	1	no	—
1527	C₄²	—	94	1	no	—
1528	C₄²	—	94	1	no	—
1529	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1530	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1531	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1532	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1533	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1534	C₄²	C₂³×D₄₇	1	1	yes	characteristic
1535	C₂³	—	2	1	no	—
1536	C₂³	—	2	1	no	—
1537	C₂³	—	4	2	no	—
1538	C₂³	—	8	1	no	—
1539	C₂³	—	8	1	no	—
1540	C₂³	—	94	1	no	—
1541	C₂³	—	94	1	no	—
1542	C₂³	—	376	1	no	—
1543	C₂³	—	376	1	no	—
1544	C₂³	—	188	2	no	—
1545	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1546	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1547	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	4	1	no	—
1553	Q₈	—	8	1	no	—
1554	Q₈	—	94	1	no	—
1555	Q₈	—	94	1	no	—
1556	Q₈	—	94	1	no	—
1557	Q₈	—	94	1	no	—
1558	Q₈	—	376	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	4	1	no	—
1564	D₄	—	4	1	no	—
1565	D₄	—	4	2	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	2	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	8	1	no	—
1570	D₄	—	47	2	no	—
1571	D₄	—	94	1	no	—
1572	D₄	—	94	1	no	—
1573	D₄	—	94	1	no	—
1574	D₄	—	376	1	no	—
1575	D₄	—	376	1	no	—
1576	D₄	—	188	2	no	—
1577	D₄	—	188	2	no	—
1578	D₄	—	188	2	no	—
1579	D₄	#41×D₄₇	1	2	yes	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	1	no	—
1594	C₂×C₄	—	4	2	no	—
1595	C₂×C₄	—	4	2	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	8	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	94	1	no	—
1604	C₂×C₄	—	94	1	no	—
1605	C₂×C₄	—	94	1	no	—
1606	C₂×C₄	—	94	1	no	—
1607	C₂×C₄	—	94	1	no	—
1608	C₂×C₄	—	94	1	no	—
1609	C₂×C₄	—	376	1	no	—
1610	C₂×C₄	—	376	1	no	—
1611	C₂×C₄	—	376	1	no	—
1612	C₂×C₄	—	376	1	no	—
1613	C₂×C₄	—	376	1	no	—
1614	C₂×C₄	—	376	1	no	—
1615	C₂×C₄	—	376	1	no	—
1616	C₂×C₄	—	188	2	no	—
1617	C₂×C₄	—	188	2	no	—
1618	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1619	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1620	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1621	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1622	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1623	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1627	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1628	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1629	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1630	C₈	—	47	2	no	—
1631	C₈	—	94	1	no	—
1632	C₈	—	94	1	no	—
1633	C₈	—	94	1	no	—
1634	C₈	—	94	1	no	—
1635	C₈	—	94	1	no	—
1636	C₈	—	94	1	no	—
1637	C₈	—	94	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	2	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	2	1	no	—
1647	C₂²	—	2	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	16	2	no	—
1654	C₂²	—	94	2	no	—
1655	C₂²	—	188	1	no	—
1656	C₂²	—	188	1	no	—
1657	C₂²	—	188	1	no	—
1658	C₂²	—	188	1	no	—
1659	C₂²	—	188	1	no	—
1660	C₂²	—	752	2	no	—
1661	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	188	1	no	—
1680	C₄	—	188	1	no	—
1681	C₄	—	188	1	no	—
1682	C₄	—	188	1	no	—
1683	C₄	—	188	1	no	—
1684	C₄	—	188	1	no	—
1685	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1686	C₄	#15689959	1	1	yes	characteristic
1687	C₂	—	4	1	no	—
1688	C₂	—	4	1	no	—
1689	C₂	—	4	1	no	—
1690	C₂	—	4	2	no	—
1691	C₂	—	8	1	no	—
1692	C₂	—	376	1	no	—
1693	C₂	—	188	2	no	—
1694	C₂	#41×C₂²⋊D₄₇	1	1	yes	characteristic
1695	C₂	#20258159	1	1	yes	characteristic
1696	C₂	#20258159	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₄₇×#3521	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3521	D₄₇
hypocenter	C₄₇	#61487
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3521

Complements

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

N	H ≅ G/N	type
1. #20257460	C₂	semidirect
2. #20256372	C₂	semidirect
3. #20256251	C₂	semidirect
4. #20256215	C₂	semidirect
5. #20256209	C₂	semidirect
6. #20255814	C₂	semidirect
7. #20255784	C₂	semidirect
8. #20255750	C₂	semidirect
9. #20255604	C₂	semidirect
10. #20255598	C₂	semidirect
11. #20255424	C₂	semidirect
12. #20255418	C₂	semidirect
13. #20255364	C₂	semidirect
14. #20255358	C₂	semidirect
15. #20255106	C₂	semidirect
16. #20255069	C₂	semidirect
17. #20255069	C₂	semidirect
18. #20254041	C₂	semidirect
19. #20254021	C₂	semidirect
20. #20253952	C₂	semidirect
21. #20253665	C₂	semidirect
22. #20253659	C₂	semidirect
23. #20253640	C₂	semidirect
24. #20253635	C₂	semidirect
25. #20253497	C₂	semidirect
26. #20253491	C₂	semidirect
27. #20252364	C₂	semidirect
28. #20252261	C₂	semidirect
29. #20252238	C₂	semidirect
30. C₄×#13094044	C₂	semidirect
31. C₄₇×#3521	C₂	semidirect
35. #15689846	C₂²	semidirect
37. #15689833	C₂²	semidirect
38. #15689819	C₂²	semidirect
44. #15689778	C₂²	semidirect
47. #15689744	C₂²	semidirect
51. #15689657	C₂²	semidirect
54. #15689603	C₂²	semidirect
56. C₄×#10625350	C₂²	semidirect
57. #15689526	C₂²	semidirect
58. #15689522	C₂²	semidirect
59. #15689522	C₂²	semidirect
62. #15689502	C₂²	semidirect
63. #15689493	C₂²	semidirect
64. #15689491	C₂²	semidirect
65. #15689485	C₂²	semidirect
66. #15689482	C₂²	semidirect
67. #15689480	C₂²	semidirect
68. #15689477	C₂²	semidirect
71. #15689464	C₂²	semidirect
74. #15689461	C₂²	semidirect
75. #15689453	C₂²	semidirect
76. #15689451	C₂²	semidirect
77. #15689447	C₂²	semidirect
78. #15689444	C₂²	semidirect
79. #15689441	C₂²	semidirect
80. #15689439	C₂²	semidirect
81. #15689430	C₂²	semidirect
82. #15689427	C₂²	semidirect
83. #15689423	C₂²	semidirect
84. #15689423	C₂²	semidirect
85. #15689423	C₂²	semidirect
86. #15689420	C₂²	semidirect
87. #15689420	C₂²	semidirect
88. #15689420	C₂²	semidirect
89. #15689413	C₂²	semidirect
90. #15689410	C₂²	semidirect
91. #15689408	C₂²	semidirect
92. #15689405	C₂²	semidirect
95. #15689371	C₂²	semidirect
96. #15689367	C₂²	semidirect
99. #15689362	C₂²	semidirect
100. #15689362	C₂²	semidirect
103. #15689354	C₂²	semidirect
104. #15689350	C₂²	semidirect
105. #15689345	C₂²	semidirect
106. #15689345	C₂²	semidirect
107. #15689342	C₂²	semidirect
108. #15689342	C₂²	semidirect
113. #15689328	C₂²	semidirect
114. #15689328	C₂²	semidirect
115. #15689325	C₂²	semidirect
116. #15689325	C₂²	semidirect
117. #15689285	C₂²	semidirect
118. #15689285	C₂²	semidirect
119. #15689283	C₂²	semidirect
120. #15689283	C₂²	semidirect
129. #15689254	C₂²	semidirect
130. Q₈×C₄₇⋊C₈	C₂²	semidirect
135. #15689228	C₂²	semidirect
136. #15689228	C₂²	semidirect
137. #15689223	C₂²	semidirect
138. #15689223	C₂²	semidirect
139. #15689223	C₂²	semidirect
140. #15689221	C₂²	semidirect
141. #15689221	C₂²	semidirect
142. #15689221	C₂²	semidirect
143. C₄×#10625337	C₂²	semidirect
144. C₄×#10625337	C₂²	semidirect
145. C₄×#10625337	C₂²	semidirect
146. C₄×#10625337	C₂²	semidirect
147. C₄×#10625336	C₂²	semidirect
148. C₄×#10625336	C₂²	semidirect
149. C₄×#10625336	C₂²	semidirect
150. C₄×#10625335	C₂²	semidirect
151. C₄×#10625335	C₂²	semidirect
152. C₄×#10625335	C₂²	semidirect
161. #15689195	C₂²	semidirect
164. D₄×C₄₇⋊C₈	C₂²	semidirect
166. #15689184	C₂²	semidirect
167. #15689180	C₂²	semidirect
169. #15689159	C₂²	semidirect
170. C₂×#13093957	C₂²	semidirect
173. #15689124	C₂²	semidirect
174. #15689122	C₂²	semidirect
175. #15689119	C₂²	semidirect
176. #15689117	C₂²	semidirect
178. #15689079	C₂²	semidirect
179. C₂×C₄×C₄₇⋊C₈	C₂²	semidirect
181. C₄₇×#556	C₂²	semidirect
182. C₄₇×#554	C₂²	semidirect
184. C₄₇×#553	C₂²	semidirect
189. C₄₇×#547	C₂²	semidirect
192. C₄₇×#542	C₂²	semidirect
198. C₄₇×#529	C₂²	semidirect
200. C₄₇×#520	C₂²	semidirect
202. C₄×#41×C₄₇	C₂²	semidirect
840. #3521	D₄₇	semidirect
886. #556	C₂×D₄₇	semidirect
888. #554	C₂×D₄₇	semidirect
892. #553	C₂×D₄₇	semidirect
902. #547	C₂×D₄₇	semidirect
908. #542	C₂×D₄₇	semidirect
919. #529	C₂×D₄₇	semidirect
923. #520	C₂×D₄₇	semidirect
927. C₄×#41	C₂×D₄₇	semidirect
1051. C₄₇	#61487	semidirect

Maximal subgroups

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

subgroup	index
#20257460	2
#20256372	2
#20256251	2
#20256215	2
#20256209	2
#20255814	2
#20255784	2
#20255750	2
#20255604	2
#20255598	2
#20255424	2
#20255418	2
#20255364	2
#20255358	2
#20255106	2
#20255069	2
#20254041	2
#20254021	2
#20253952	2
#20253665	2
#20253659	2
#20253640	2
#20253635	2
#20253497	2
#20253491	2
#20252364	2
#20252261	2
#20252238	2
C₄×#13094044	2
C₄₇×#3521	2
#61487	47