Subgroups — #27093665

Order 12032.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20257021	C₂	1	1	yes	maximal, characteristic, complemented
2	#20255624	C₂	1	2	yes	maximal, complemented
3	#20255613	C₂	1	2	yes	maximal, complemented
4	#20255598	C₂	1	2	yes	maximal, complemented
5	#20255583	C₂	1	2	yes	maximal, complemented
6	#20255538	C₂	1	2	yes	maximal, complemented
7	#20255523	C₂	1	2	yes	maximal, complemented
8	#20255418	C₂	1	2	yes	maximal, complemented
9	#20255403	C₂	1	2	yes	maximal, complemented
10	#20253747	C₂	1	1	yes	maximal, characteristic, complemented
11	#20253346	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253319	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253213	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253070	C₂	1	1	yes	maximal, characteristic, complemented
15	#20252994	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252927	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252689	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252614	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252216	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252092	C₂	1	1	yes	maximal, characteristic, complemented
21	#20251911	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#15689127	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₇×#3493	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094070	C₂²	1	1	yes	characteristic
25	C₂³×D₁₈₈	C₂²	1	1	yes	characteristic
26	C₂×#13094049	C₂²	1	1	yes	characteristic
27	C₂×#13094049	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13094044	C₂²	1	1	yes	characteristic, complemented
29	C₂×#13094031	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#10625329	C₂²	1	1	yes	characteristic, complemented
31	#15689769	C₂²	1	2	yes	—
32	#15689769	C₂²	1	2	yes	—
33	#15689764	—	2	1	no	—
34	#15689764	—	2	1	no	—
35	D₄×D₁₈₈	C₂²	1	2	yes	—
36	D₄×D₁₈₈	C₂²	1	2	yes	—
37	#15689757	—	2	1	no	—
38	#15689757	—	2	1	no	—
39	#15689692	C₂²	1	1	yes	characteristic
40	#15689687	C₂²	1	1	yes	characteristic
41	#15689684	—	2	2	no	—
42	#15689634	C₂²	1	1	yes	characteristic
43	#120×D₄₇	—	2	2	no	—
44	#15689597	C₂²	1	1	yes	characteristic
45	#15689489	C₂²	1	2	yes	complemented
46	#15689485	C₂²	1	2	yes	complemented
47	#15689480	C₂²	1	2	yes	complemented
48	#15689471	C₂²	1	2	yes	complemented
49	#15689464	C₂²	1	2	yes	complemented
50	#15689464	C₂²	1	2	yes	complemented
51	#15689447	C₂²	1	2	yes	complemented
52	#15689447	C₂²	1	2	yes	complemented
53	#15689447	C₂²	1	2	yes	complemented
54	#15689447	C₂²	1	2	yes	complemented
55	#15689441	C₂²	1	2	yes	complemented
56	#15689436	C₂²	1	2	yes	complemented
57	#15689420	C₂²	1	2	yes	complemented
58	#15689420	C₂²	1	2	yes	complemented
59	#15689410	C₂²	1	2	yes	complemented
60	#15689400	C₂²	1	2	yes	complemented
61	#15689379	C₂²	1	1	yes	characteristic, complemented
62	#15689379	C₂²	1	1	yes	characteristic, complemented
63	#15689374	C₂²	1	1	yes	characteristic, complemented
64	#15689374	C₂²	1	1	yes	characteristic, complemented
65	#15689374	C₂²	1	2	yes	complemented
66	#15689371	C₂²	1	1	yes	characteristic, complemented
67	#15689371	C₂²	1	1	yes	characteristic, complemented
68	#15689371	C₂²	1	2	yes	complemented
69	#15689367	C₂²	1	1	yes	characteristic, complemented
70	#15689367	C₂²	1	1	yes	characteristic, complemented
71	#15689357	C₂²	1	2	yes	complemented
72	#15689354	C₂²	1	2	yes	complemented
73	#15689345	C₂²	1	2	yes	complemented
74	#15689338	C₂²	1	2	yes	complemented
75	#15689323	C₂²	1	2	yes	complemented
76	#15689318	C₂²	1	2	yes	complemented
77	#15689283	C₂²	1	2	yes	complemented
78	#15689273	C₂²	1	2	yes	complemented
79	#15689273	C₂²	1	2	yes	complemented
80	#15689273	C₂²	1	2	yes	complemented
81	#15689266	C₂²	1	2	yes	complemented
82	#15689256	C₂²	1	2	yes	complemented
83	#15689256	C₂²	1	2	yes	complemented
84	#15689256	C₂²	1	2	yes	complemented
85	#15689233	C₂²	1	2	yes	complemented
86	#15689221	C₂²	1	2	yes	complemented
87	C₄×#10625336	C₂²	1	2	yes	complemented
88	C₄×#10625334	C₂²	1	2	yes	complemented
89	#15689201	C₂²	1	2	yes	complemented
90	#15689201	C₂²	1	2	yes	complemented
91	#15689195	C₂²	1	2	yes	complemented
92	#15689195	C₂²	1	2	yes	complemented
93	#15689163	C₂²	1	1	yes	characteristic, complemented
94	#15689163	C₂²	1	1	yes	characteristic, complemented
95	#15689159	C₂²	1	1	yes	characteristic, complemented
96	#15689150	C₂²	1	1	yes	characteristic, complemented
97	#15689127	C₂²	1	1	yes	characteristic
98	#15689127	C₂²	1	2	yes	complemented
99	#15689127	C₂²	1	2	yes	complemented
100	#15689127	C₂²	1	1	yes	characteristic, complemented
101	#15689127	C₂²	1	2	yes	complemented
102	#15689127	C₂²	1	2	yes	complemented
103	#15689127	C₂²	1	2	yes	complemented
104	#15689122	C₂²	1	1	yes	characteristic, complemented
105	#15689122	C₂²	1	1	yes	characteristic, complemented
106	#15689122	C₂²	1	2	yes	complemented
107	#15689119	C₂²	1	1	yes	characteristic, complemented
108	#15689117	C₂²	1	1	yes	characteristic, complemented
109	#15689117	C₂²	1	2	yes	complemented
110	C₂×#13093944	C₂²	1	1	yes	characteristic
111	C₂×#13093944	C₂²	1	1	yes	characteristic
112	C₂×#13093944	C₂²	1	1	yes	characteristic, complemented
113	C₂×#13093944	C₂²	1	1	yes	characteristic, complemented
114	C₂×#13093944	C₂²	1	2	yes	complemented
115	#15689090	C₂²	1	1	yes	characteristic, complemented
116	#15689087	C₂²	1	1	yes	characteristic, complemented
117	#15689079	C₂²	1	1	yes	characteristic, complemented
118	C₄₇×#556	—	2	1	no	—
119	C₄₇×#556	C₂²	1	2	yes	complemented
120	C₄₇×#555	—	2	1	no	—
121	C₄₇×#555	C₂²	1	2	yes	complemented
122	C₄₇×#553	—	2	1	no	—
123	C₄₇×#553	C₂²	1	2	yes	complemented
124	C₄₇×#552	—	2	1	no	—
125	C₄₇×#552	C₂²	1	2	yes	complemented
126	C₄₇×#544	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#538	—	2	2	no	—
128	C₄₇×#537	C₂²	1	1	yes	characteristic, complemented
129	C₄₇×#529	—	2	2	no	—
130	C₄₇×#525	C₂²	1	1	yes	characteristic
131	C₄₇×#525	C₂²	1	1	yes	characteristic, complemented
132	C₄₇×#520	C₂²	1	1	yes	characteristic, complemented
133	C₄₇×#520	C₂²	1	1	yes	characteristic, complemented
134	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₄₇	—	2	1	no	—
136	#13094070	—	2	4	no	—
137	#13094070	—	4	2	no	—
138	C₂×#10625354	—	2	1	no	—
139	C₂×#10625350	C₂³	1	1	yes	characteristic
140	C₂×#10625350	C₂³	1	2	yes	—
141	C₂²×D₁₈₈	—	2	4	no	—
142	C₂²×D₁₈₈	—	2	1	no	—
143	C₂²×D₁₈₈	—	2	1	no	—
144	C₂²×D₁₈₈	—	2	1	no	—
145	C₂²×D₁₈₈	—	4	2	no	—
146	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
147	C₂²×D₁₈₈	C₂³	1	2	yes	—
148	C₂²×D₁₈₈	C₂³	1	2	yes	—
149	C₂²×D₁₈₈	C₂³	1	2	yes	—
150	C₂²×D₁₈₈	C₂³	1	1	yes	characteristic
151	C₂×D₄×D₄₇	—	2	1	no	—
152	C₂×D₄×D₄₇	—	2	2	no	—
153	C₂×D₄×D₄₇	—	2	2	no	—
154	C₂×D₄×D₄₇	—	2	2	no	—
155	#13094049	—	2	4	no	—
156	#13094049	—	4	2	no	—
157	#13094044	—	4	2	no	—
158	C₂×#10625337	C₂³	1	1	yes	characteristic, complemented
159	C₂×#10625335	C₂³	1	1	yes	characteristic, complemented
160	C₂×#10625336	C₂³	1	2	yes	—
161	C₂×#10625336	C₂³	1	2	yes	—
162	C₂×#10625336	C₂³	1	1	yes	characteristic, complemented
163	C₂×#10625334	C₂³	1	2	yes	—
164	C₂×#10625334	C₂³	1	2	yes	—
165	C₂×#10625334	C₂³	1	1	yes	characteristic, complemented
166	#13094031	—	4	2	no	—
167	C₂×#10625329	—	4	2	no	—
168	C₂×#10625329	C₂³	1	1	yes	characteristic
169	C₂×#10625329	C₂³	1	1	yes	characteristic
170	C₂×#10625329	C₂³	1	1	yes	characteristic
171	C₂×#10625329	C₂³	1	1	yes	characteristic
172	C₂×#10625329	C₂³	1	1	yes	characteristic
173	C₂×#10625329	C₂³	1	1	yes	characteristic
174	C₂×#10625329	C₂³	1	2	yes	complemented
175	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
176	C₂²×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
177	C₂²×C₄₇⋊C₈	C₂³	1	2	yes	complemented
178	#13094021	C₂³	1	2	yes	—
179	#13094020	—	2	1	no	—
180	#13094013	—	2	1	no	—
181	#13094012	C₂³	1	2	yes	—
182	#13094009	—	2	2	no	—
183	#13094009	—	2	2	no	—
184	#13094007	—	2	1	no	—
185	#13094003	C₂³	1	1	yes	characteristic
186	#13094003	C₂³	1	1	yes	characteristic
187	#13093999	—	2	1	no	—
188	#13093999	—	2	1	no	—
189	#13093999	—	2	2	no	—
190	#13093999	—	2	2	no	—
191	#13093998	C₂³	1	1	yes	characteristic
192	#13093998	C₂³	1	1	yes	characteristic
193	#13093998	C₂³	1	2	yes	—
194	#13093998	C₂³	1	2	yes	—
195	#13093997	—	2	2	no	—
196	#13093997	—	2	2	no	—
197	#13093994	—	2	2	no	—
198	#13093994	—	2	2	no	—
199	#13093994	—	2	2	no	—
200	#13093994	—	2	2	no	—
201	#13093994	—	2	2	no	—
202	#13093993	—	2	1	no	—
203	#13093992	—	2	2	no	—
204	#13093992	—	2	2	no	—
205	#13093992	—	2	2	no	—
206	C₄×D₁₈₈	C₂³	1	2	yes	—
207	C₄×D₁₈₈	C₂³	1	2	yes	—
208	#13093986	—	2	1	no	—
209	#13093986	—	2	1	no	—
210	C₄×C₂²⋊D₄₇	—	2	1	no	—
211	C₄×C₂²⋊D₄₇	—	2	1	no	—
212	#13093983	C₂³	1	1	yes	characteristic
213	C₂²⋊C₄×D₄₇	—	2	2	no	—
214	C₂²⋊C₄×D₄₇	—	2	2	no	—
215	C₂²⋊C₄×D₄₇	—	2	2	no	—
216	#13093957	C₂³	1	2	yes	complemented
217	#13093957	C₂³	1	2	yes	complemented
218	#13093957	C₂³	1	1	yes	characteristic, complemented
219	#13093957	C₂³	1	1	yes	characteristic, complemented
220	#13093955	C₂³	1	2	yes	complemented
221	#13093955	C₂³	1	2	yes	complemented
222	#13093955	C₂³	1	1	yes	characteristic, complemented
223	#13093955	C₂³	1	1	yes	characteristic, complemented
224	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	complemented
225	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	complemented
226	#13093948	C₂³	1	1	yes	characteristic, complemented
227	#13093948	C₂³	1	1	yes	characteristic, complemented
228	#13093947	C₂³	1	1	yes	characteristic, complemented
229	#13093947	C₂³	1	2	yes	complemented
230	#13093947	C₂³	1	1	yes	characteristic, complemented
231	#13093947	C₂³	1	2	yes	complemented
232	#13093945	C₂³	1	1	yes	characteristic, complemented
233	#13093945	C₂³	1	1	yes	characteristic, complemented
234	#13093944	C₂³	1	2	yes	—
235	#13093944	C₂³	1	2	yes	—
236	#13093944	C₂³	1	2	yes	—
237	#13093944	C₂³	1	2	yes	—
238	#13093944	C₂³	1	2	yes	—
239	#13093944	C₂³	1	2	yes	—
240	#13093944	C₂³	1	2	yes	—
241	#13093944	C₂³	1	2	yes	—
242	#13093944	C₂³	1	2	yes	—
243	#13093944	C₂³	1	2	yes	—
244	#13093944	C₂³	1	2	yes	—
245	#13093944	C₂³	1	2	yes	—
246	#13093944	C₂³	1	1	yes	characteristic, complemented
247	#13093944	C₂³	1	2	yes	complemented
248	#13093944	C₂³	1	2	yes	complemented
249	#13093944	C₂³	1	1	yes	characteristic, complemented
250	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
251	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
252	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	complemented
253	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	complemented
254	#13093935	C₂³	1	2	yes	complemented
255	C₄×C₄₇⋊C₈	C₂³	1	2	yes	complemented
256	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
257	C₂×#41×C₄₇	C₂³	1	1	yes	characteristic
258	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
259	C₄⋊Q₈×C₄₇	—	2	1	no	—
260	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	complemented
261	#126×C₄₇	—	2	2	no	—
262	#126×C₄₇	—	2	2	no	—
263	#126×C₄₇	—	2	2	no	—
264	#126×C₄₇	—	2	2	no	—
265	#125×C₄₇	—	2	2	no	—
266	#125×C₄₇	—	2	1	no	—
267	#125×C₄₇	C₂³	1	2	yes	complemented
268	#124×C₄₇	—	2	2	no	—
269	#124×C₄₇	—	2	2	no	—
270	#124×C₄₇	—	2	2	no	—
271	#123×C₄₇	—	2	2	no	—
272	#123×C₄₇	—	2	1	no	—
273	#123×C₄₇	—	2	2	no	—
274	#123×C₄₇	D₄	1	2	yes	—
275	C₂²⋊Q₈×C₄₇	—	2	1	no	—
276	C₂²⋊Q₈×C₄₇	—	2	2	no	—
277	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
278	C₂²⋊Q₈×C₄₇	D₄	1	1	yes	characteristic
279	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
280	C₂²⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
281	C₂²⋊Q₈×C₄₇	C₂³	1	2	yes	complemented
282	#121×C₄₇	—	2	2	no	—
283	#121×C₄₇	—	2	1	no	—
284	#121×C₄₇	—	2	2	no	—
285	#121×C₄₇	—	2	2	no	—
286	#121×C₄₇	D₄	1	1	yes	characteristic
287	#121×C₄₇	D₄	1	1	yes	characteristic
288	#121×C₄₇	C₂³	1	1	yes	characteristic
289	#121×C₄₇	C₂³	1	1	yes	characteristic
290	#121×C₄₇	C₂³	1	2	yes	complemented
291	#120×C₄₇	—	2	1	no	—
292	#120×C₄₇	D₄	1	2	yes	—
293	C₄×Q₈×C₄₇	—	2	1	no	—
294	C₄×Q₈×C₄₇	—	2	2	no	—
295	C₄×Q₈×C₄₇	C₂³	1	2	yes	complemented
296	C₄×D₄×C₄₇	—	2	2	no	—
297	C₄×D₄×C₄₇	—	2	1	no	—
298	C₄×D₄×C₄₇	—	2	1	no	—
299	C₄×D₄×C₄₇	—	2	1	no	—
300	C₄×D₄×C₄₇	—	2	2	no	—
301	C₄×D₄×C₄₇	—	2	2	no	—
302	C₄×D₄×C₄₇	C₂³	1	2	yes	—
303	C₄×D₄×C₄₇	C₂³	1	2	yes	—
304	C₄×D₄×C₄₇	C₂³	1	2	yes	complemented
305	#117×C₄₇	—	2	1	no	—
306	#117×C₄₇	—	2	1	no	—
307	#117×C₄₇	—	2	1	no	—
308	#117×C₄₇	—	2	2	no	—
309	#117×C₄₇	—	2	2	no	—
310	#117×C₄₇	C₂³	1	2	yes	—
311	#117×C₄₇	C₂³	1	2	yes	—
312	#117×C₄₇	C₂³	1	1	yes	characteristic
313	#117×C₄₇	C₂³	1	1	yes	characteristic
314	#117×C₄₇	C₂³	1	2	yes	complemented
315	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
316	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₄₇	C₂³	1	2	yes	complemented
319	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
320	C₂×C₄²×C₄₇	—	2	1	no	—
321	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
322	C₂³×D₄₇	—	2	1	no	—
323	C₂³×D₄₇	—	2	2	no	—
324	C₂³×D₄₇	—	2	2	no	—
325	C₂³×D₄₇	—	2	1	no	—
326	C₂³×D₄₇	—	2	2	no	—
327	C₂³×D₄₇	—	4	4	no	—
328	C₂³×D₄₇	—	8	2	no	—
329	C₂³×D₄₇	—	8	2	no	—
330	#41×C₄₇	—	2	2	no	—
331	#41×C₄₇	—	2	2	no	—
332	#41×C₄₇	—	2	2	no	—
333	#41×C₄₇	—	2	2	no	—
334	C₂×Q₈×C₄₇	—	2	2	no	—
335	C₂×Q₈×C₄₇	C₂×D₄	1	1	yes	characteristic
336	C₂×Q₈×C₄₇	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₄₇	—	2	1	no	—
338	C₂×D₄×C₄₇	—	2	1	no	—
339	C₂×D₄×C₄₇	—	2	1	no	—
340	C₂×D₄×C₄₇	—	2	2	no	—
341	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₄₇	C₂×D₄	1	1	yes	characteristic
343	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₄₇	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₄₇	—	2	2	no	—
347	C₂²×C₄×C₄₇	—	2	2	no	—
348	C₂²×C₄×C₄₇	—	2	1	no	—
349	C₂²×C₄×C₄₇	—	2	1	no	—
350	C₂²×C₄×C₄₇	—	2	2	no	—
351	C₂²×C₄×C₄₇	—	2	1	no	—
352	C₂²×C₄×C₄₇	—	2	2	no	—
353	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₄₇	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
360	C₂×C₂²⋊D₄₇	—	2	1	no	—
361	C₂×C₂²⋊D₄₇	—	2	1	no	—
362	C₂×C₂²⋊D₄₇	—	2	2	no	—
363	C₂×C₂²⋊D₄₇	—	2	1	no	—
364	C₂×C₂²⋊D₄₇	—	2	2	no	—
365	C₂×C₂²⋊D₄₇	—	2	2	no	—
366	#10625354	—	4	4	no	—
367	D₄×D₄₇	—	4	4	no	—
368	D₄×D₄₇	—	4	8	no	—
369	D₄×D₄₇	—	8	4	no	—
370	D₄×D₄₇	—	8	4	no	—
371	#10625350	—	2	2	no	—
372	#10625350	—	2	2	no	—
373	#10625350	—	2	4	no	—
374	#10625350	—	4	2	no	—
375	C₂×D₁₈₈	—	2	1	no	—
376	C₂×D₁₈₈	—	2	2	no	—
377	C₂×D₁₈₈	—	2	2	no	—
378	C₂×D₁₈₈	—	2	2	no	—
379	C₂×D₁₈₈	—	2	4	no	—
380	C₂×D₁₈₈	—	2	4	no	—
381	C₂×D₁₈₈	—	2	4	no	—
382	C₂×D₁₈₈	—	2	2	no	—
383	C₂×D₁₈₈	—	2	2	no	—
384	C₂×D₁₈₈	—	2	2	no	—
385	C₂×D₁₈₈	—	2	1	no	—
386	C₂×D₁₈₈	—	2	2	no	—
387	C₂×D₁₈₈	—	2	2	no	—
388	C₂×D₁₈₈	—	4	2	no	—
389	C₂×D₁₈₈	—	4	2	no	—
390	C₂×D₁₈₈	—	4	2	no	—
391	C₂×D₁₈₈	—	4	4	no	—
392	C₂×D₁₈₈	—	4	4	no	—
393	C₂×D₁₈₈	—	4	4	no	—
394	C₂×D₁₈₈	#41	1	4	yes	—
395	C₂×D₁₈₈	C₂⁴	1	2	yes	—
396	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
397	C₂×D₁₈₈	C₂⁴	1	2	yes	—
398	C₂×C₄×D₄₇	—	2	2	no	—
399	C₂×C₄×D₄₇	—	2	1	no	—
400	C₂×C₄×D₄₇	—	2	2	no	—
401	C₂×C₄×D₄₇	—	2	2	no	—
402	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₄₇	—	2	1	no	—
404	C₄⋊C₄×C₄₇	—	2	2	no	—
405	C₄⋊C₄×C₄₇	—	2	1	no	—
406	C₄⋊C₄×C₄₇	—	2	2	no	—
407	C₄⋊C₄×C₄₇	—	2	1	no	—
408	C₄⋊C₄×C₄₇	—	2	2	no	—
409	C₄⋊C₄×C₄₇	—	2	2	no	—
410	C₄⋊C₄×C₄₇	—	2	1	no	—
411	C₄⋊C₄×C₄₇	—	2	2	no	—
412	C₄⋊C₄×C₄₇	—	2	2	no	—
413	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
414	C₄⋊C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
415	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
416	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
417	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
418	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
419	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
420	C₄⋊C₄×C₄₇	C₂⁴	1	1	yes	characteristic
421	C₂²⋊C₄×C₄₇	—	2	2	no	—
422	C₂²⋊C₄×C₄₇	—	2	2	no	—
423	C₂²⋊C₄×C₄₇	—	2	2	no	—
424	C₂²⋊C₄×C₄₇	—	2	1	no	—
425	C₂²⋊C₄×C₄₇	—	2	2	no	—
426	C₂²⋊C₄×C₄₇	—	2	1	no	—
427	C₂²⋊C₄×C₄₇	—	2	1	no	—
428	C₂²⋊C₄×C₄₇	—	2	1	no	—
429	C₂²⋊C₄×C₄₇	—	2	2	no	—
430	C₂²⋊C₄×C₄₇	—	2	2	no	—
431	C₂²⋊C₄×C₄₇	—	2	1	no	—
432	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
433	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
434	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
435	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
436	C₂²⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
437	C₄²×C₄₇	—	2	2	no	—
438	C₄²×C₄₇	—	2	2	no	—
439	C₄²×C₄₇	—	2	2	no	—
440	C₄²×C₄₇	—	2	2	no	—
441	C₄²×C₄₇	—	2	1	no	—
442	C₄²×C₄₇	C₂⁴	1	2	yes	—
443	C₂²⋊Dic₄₇	—	2	1	no	—
444	C₂²⋊Dic₄₇	—	2	1	no	—
445	C₂²⋊Dic₄₇	—	2	1	no	—
446	#10625337	—	4	1	no	—
447	#10625336	—	2	4	no	—
448	#10625336	—	4	2	no	—
449	#10625336	—	4	1	no	—
450	#10625335	—	4	1	no	—
451	#10625334	—	2	4	no	—
452	#10625334	—	4	2	no	—
453	#10625334	—	4	1	no	—
454	(C₂×D₄₇)⋊C₄	—	2	2	no	—
455	(C₂×D₄₇)⋊C₄	—	2	2	no	—
456	(C₂×D₄₇)⋊C₄	—	2	2	no	—
457	(C₂×D₄₇)⋊C₄	—	2	2	no	—
458	(C₂×D₄₇)⋊C₄	—	2	2	no	—
459	(C₂×D₄₇)⋊C₄	—	2	2	no	—
460	(C₂×D₄₇)⋊C₄	—	2	1	no	—
461	(C₂×D₄₇)⋊C₄	—	2	1	no	—
462	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
463	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
464	Dic₄₇⋊C₄	—	2	1	no	—
465	Dic₄₇⋊C₄	—	2	1	no	—
466	C₄×Dic₄₇	—	2	1	no	—
467	#10625329	—	2	2	no	—
468	#10625329	—	2	2	no	—
469	#10625329	—	4	1	no	—
470	#10625329	—	4	1	no	—
471	#10625329	—	4	1	no	—
472	#10625329	—	4	1	no	—
473	#10625329	—	4	2	no	—
474	C₂×C₄₇⋊C₈	—	2	2	no	—
475	C₂×C₄₇⋊C₈	—	2	2	no	—
476	C₂×C₄₇⋊C₈	—	4	2	no	—
477	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
478	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
479	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
480	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
481	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
482	C₂×C₄₇⋊C₈	C₂⁴	1	1	yes	characteristic
483	C₂³×C₄₇	—	2	2	no	—
484	C₂³×C₄₇	—	2	1	no	—
485	C₂³×C₄₇	—	4	1	no	—
486	C₂³×C₄₇	—	4	1	no	—
487	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
488	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
489	C₂³×C₄₇	C₂²×D₄	1	2	yes	—
490	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
491	C₂²×D₄₇	—	2	2	no	—
492	C₂²×D₄₇	—	2	4	no	—
493	C₂²×D₄₇	—	2	2	no	—
494	C₂²×D₄₇	—	2	1	no	—
495	C₂²×D₄₇	—	4	4	no	—
496	C₂²×D₄₇	—	4	4	no	—
497	C₂²×D₄₇	—	4	4	no	—
498	C₂²×D₄₇	—	4	4	no	—
499	C₂²×D₄₇	—	4	4	no	—
500	C₂²×D₄₇	—	4	2	no	—
501	C₂²×D₄₇	—	8	1	no	—
502	C₂²×D₄₇	—	8	1	no	—
503	C₂²×D₄₇	—	8	2	no	—
504	C₂²×D₄₇	—	8	2	no	—
505	C₂²×D₄₇	—	8	1	no	—
506	C₂²×D₄₇	—	8	1	no	—
507	C₂²×D₄₇	—	8	2	no	—
508	C₂²×D₄₇	—	8	2	no	—
509	C₂²×D₄₇	—	8	16	no	—
510	Q₈×C₄₇	—	2	2	no	—
511	Q₈×C₄₇	—	2	1	no	—
512	Q₈×C₄₇	—	2	1	no	—
513	Q₈×C₄₇	—	8	2	no	—
514	D₄×C₄₇	—	2	4	no	—
515	D₄×C₄₇	—	2	2	no	—
516	D₄×C₄₇	—	2	1	no	—
517	D₄×C₄₇	—	2	1	no	—
518	D₄×C₄₇	—	4	2	no	—
519	D₄×C₄₇	—	4	2	no	—
520	D₄×C₄₇	—	4	2	no	—
521	D₄×C₄₇	—	8	1	no	—
522	D₄×C₄₇	—	8	2	no	—
523	D₄×C₄₇	—	8	1	no	—
524	C₂×C₄×C₄₇	—	2	2	no	—
525	C₂×C₄×C₄₇	—	2	2	no	—
526	C₂×C₄×C₄₇	—	2	2	no	—
527	C₂×C₄×C₄₇	—	2	1	no	—
528	C₂×C₄×C₄₇	—	2	1	no	—
529	C₂×C₄×C₄₇	—	2	2	no	—
530	C₂×C₄×C₄₇	—	2	2	no	—
531	C₂×C₄×C₄₇	—	2	1	no	—
532	C₂×C₄×C₄₇	—	2	1	no	—
533	C₂×C₄×C₄₇	—	2	2	no	—
534	C₂×C₄×C₄₇	—	2	1	no	—
535	C₂×C₄×C₄₇	—	2	1	no	—
536	C₂×C₄×C₄₇	—	2	2	no	—
537	C₂×C₄×C₄₇	—	2	1	no	—
538	C₂×C₄×C₄₇	—	4	2	no	—
539	C₂×C₄×C₄₇	—	8	2	no	—
540	C₂×C₄×C₄₇	—	8	1	no	—
541	C₂×C₄×C₄₇	—	8	2	no	—
542	C₂×C₄×C₄₇	—	8	1	no	—
543	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₄₇	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
550	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
551	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
552	C₂²⋊D₄₇	—	4	4	no	—
553	C₂²⋊D₄₇	—	4	2	no	—
554	C₂²⋊D₄₇	—	4	2	no	—
555	C₂²⋊D₄₇	—	4	2	no	—
556	C₂²⋊D₄₇	—	8	2	no	—
557	C₂²⋊D₄₇	—	8	2	no	—
558	C₂×Dic₄₇	—	2	1	no	—
559	C₂×Dic₄₇	—	2	1	no	—
560	C₂×Dic₄₇	—	2	1	no	—
561	D₁₈₈	—	2	4	no	—
562	D₁₈₈	—	2	2	no	—
563	D₁₈₈	—	2	1	no	—
564	D₁₈₈	—	2	2	no	—
565	D₁₈₈	—	2	2	no	—
566	D₁₈₈	—	2	1	no	—
567	D₁₈₈	—	4	4	no	—
568	D₁₈₈	—	4	4	no	—
569	D₁₈₈	—	4	4	no	—
570	D₁₈₈	—	4	2	no	—
571	D₁₈₈	—	8	2	no	—
572	D₁₈₈	—	8	2	no	—
573	D₁₈₈	C₂×#41	1	4	yes	—
574	C₄×D₄₇	—	4	4	no	—
575	C₄×D₄₇	—	4	2	no	—
576	C₄×D₄₇	—	8	2	no	—
577	C₄×D₄₇	—	8	2	no	—
578	Dic₉₄	—	2	1	no	—
579	Dic₉₄	—	2	1	no	—
580	C₄₇⋊C₈	—	2	2	no	—
581	C₄₇⋊C₈	—	2	1	no	—
582	C₄₇⋊C₈	—	2	1	no	—
583	C₄₇⋊C₈	—	2	1	no	—
584	C₄₇⋊C₈	—	2	1	no	—
585	C₄₇⋊C₈	—	2	2	no	—
586	#61175	—	47	1	no	maximal, Sylow
587	C₂²×C₄₇	—	2	1	no	—
588	C₂²×C₄₇	—	2	1	no	—
589	C₂²×C₄₇	—	2	1	no	—
590	C₂²×C₄₇	—	2	1	no	—
591	C₂²×C₄₇	—	2	2	no	—
592	C₂²×C₄₇	—	2	2	no	—
593	C₂²×C₄₇	—	2	1	no	—
594	C₂²×C₄₇	—	2	1	no	—
595	C₂²×C₄₇	—	2	2	no	—
596	C₂²×C₄₇	—	2	1	no	—
597	C₂²×C₄₇	—	2	1	no	—
598	C₂²×C₄₇	—	4	4	no	—
599	C₂²×C₄₇	—	4	1	no	—
600	C₂²×C₄₇	—	4	1	no	—
601	C₂²×C₄₇	—	4	1	no	—
602	C₂²×C₄₇	#546	1	2	yes	—
603	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
604	C₂×D₄₇	—	2	4	no	—
605	C₂×D₄₇	—	4	2	no	—
606	C₂×D₄₇	—	4	2	no	—
607	C₂×D₄₇	—	4	1	no	—
608	C₂×D₄₇	—	4	1	no	—
609	C₂×D₄₇	—	4	2	no	—
610	C₂×D₄₇	—	4	2	no	—
611	C₂×D₄₇	—	4	1	no	—
612	C₂×D₄₇	—	4	2	no	—
613	C₂×D₄₇	—	8	4	no	—
614	C₂×D₄₇	—	8	8	no	—
615	C₂×D₄₇	—	8	8	no	—
616	C₂×D₄₇	—	8	4	no	—
617	C₂×D₄₇	—	16	4	no	—
618	C₄×C₄₇	—	2	2	no	—
619	C₄×C₄₇	—	2	2	no	—
620	C₄×C₄₇	—	2	2	no	—
621	C₄×C₄₇	—	2	1	no	—
622	C₄×C₄₇	—	2	1	no	—
623	C₄×C₄₇	—	4	2	no	—
624	C₄×C₄₇	—	4	1	no	—
625	C₄×C₄₇	—	4	2	no	—
626	C₄×C₄₇	—	4	1	no	—
627	C₄×C₄₇	—	4	1	no	—
628	C₄×C₄₇	#546	1	2	yes	—
629	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
630	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
631	Dic₄₇	—	4	1	no	—
632	Dic₄₇	—	4	1	no	—
633	Dic₄₇	—	4	1	no	—
634	#3493	D₄₇	1	1	yes	characteristic, complemented
635	#3484	—	47	1	no	—
636	#3325	—	47	2	no	—
637	#3324	—	47	2	no	—
638	#3323	—	47	2	no	—
639	#3322	—	47	2	no	—
640	#3319	—	47	2	no	—
641	#3318	—	47	2	no	—
642	#3311	—	47	2	no	—
643	#3310	—	47	2	no	—
644	#3136	—	47	1	no	—
645	#3096	—	47	1	no	—
646	#3093	—	47	1	no	—
647	#3081	—	47	1	no	—
648	#3062	—	47	1	no	—
649	#3054	—	47	1	no	—
650	#3045	—	47	1	no	—
651	#3012	—	47	1	no	—
652	#3003	—	47	1	no	—
653	#2946	—	47	1	no	—
654	#2930	—	47	1	no	—
655	#2897	—	47	1	no	—
656	C₂×#418	—	47	1	no	—
657	C₂×C₄₇	—	2	2	no	—
658	C₂×C₄₇	—	4	1	no	—
659	C₂×C₄₇	—	4	1	no	—
660	C₂×C₄₇	—	4	2	no	—
661	C₂×C₄₇	—	8	1	no	—
662	C₂×C₄₇	C₂×#546	1	1	yes	characteristic
663	C₂×C₄₇	#3585	1	1	yes	characteristic
664	C₂×C₄₇	#3585	1	1	yes	characteristic
665	D₄₇	—	4	4	no	—
666	D₄₇	—	8	2	no	—
667	D₄₇	—	8	1	no	—
668	C₂×H(5,𝔽₂)	—	47	1	no	—
669	C₂³×D₄	—	47	1	no	—
670	C₂×AGL(1,ℤ/8)	—	47	1	no	—
671	C₂×AGL(1,ℤ/8)	—	47	1	no	—
672	C₂×#135	—	47	1	no	—
673	C₂×#131	—	47	1	no	—
674	C₂²×M₁₆	—	47	1	no	—
675	#556	—	2	1	no	—
676	#556	C₂×D₄₇	1	2	yes	complemented
677	#555	—	2	1	no	—
678	#555	C₂×D₄₇	1	2	yes	complemented
679	#553	—	2	1	no	—
680	#553	C₂×D₄₇	1	2	yes	complemented
681	#552	—	2	1	no	—
682	#552	C₂×D₄₇	1	2	yes	complemented
683	#546	—	47	2	no	—
684	#546	—	47	2	no	—
685	#546	—	94	1	no	—
686	#546	—	94	1	no	—
687	D₄²	—	47	2	no	—
688	D₄²	—	47	2	no	—
689	D₄²	—	94	1	no	—
690	D₄²	—	94	1	no	—
691	#544	C₂×D₄₇	1	1	yes	characteristic, complemented
692	#538	—	2	2	no	—
693	#537	C₂×D₄₇	1	1	yes	characteristic, complemented
694	#535	—	47	1	no	—
695	#535	—	47	1	no	—
696	#534	—	94	2	no	—
697	#529	—	2	2	no	—
698	#525	—	47	1	no	—
699	#525	C₂×D₄₇	1	1	yes	characteristic
700	#525	C₂×D₄₇	1	1	yes	characteristic, complemented
701	C₂×#120	—	94	2	no	—
702	#520	C₂×D₄₇	1	1	yes	characteristic, complemented
703	#520	C₂×D₄₇	1	1	yes	characteristic, complemented
704	#518	—	47	1	no	—
705	C₂×#117	C₂×D₄₇	1	1	yes	characteristic, complemented
706	#490	—	47	2	no	—
707	#489	—	47	2	no	—
708	#488	—	47	2	no	—
709	#486	—	47	2	no	—
710	#485	—	47	2	no	—
711	#485	—	47	2	no	—
712	#482	—	47	2	no	—
713	#482	—	47	2	no	—
714	#482	—	47	2	no	—
715	#482	—	47	2	no	—
716	#481	—	47	2	no	—
717	#480	—	47	2	no	—
718	#478	—	47	2	no	—
719	#478	—	47	2	no	—
720	#476	—	47	2	no	—
721	#474	—	47	2	no	—
722	#470	—	47	1	no	—
723	#470	—	47	1	no	—
724	#469	—	47	1	no	—
725	#469	—	47	1	no	—
726	#469	—	47	2	no	—
727	#468	—	47	1	no	—
728	#468	—	47	1	no	—
729	#468	—	47	2	no	—
730	#468	—	47	1	no	—
731	#468	—	47	1	no	—
732	#466	—	47	2	no	—
733	#465	—	47	2	no	—
734	#464	—	47	2	no	—
735	#463	—	47	2	no	—
736	#460	—	47	2	no	—
737	#459	—	47	2	no	—
738	#452	—	47	2	no	—
739	#450	—	47	2	no	—
740	#450	—	47	2	no	—
741	#450	—	47	2	no	—
742	#449	—	47	2	no	—
743	#447	—	47	2	no	—
744	#447	—	47	2	no	—
745	#447	—	47	2	no	—
746	#442	—	47	2	no	—
747	#440	—	47	2	no	—
748	C₄×SD₁₆	—	47	2	no	—
749	C₄×D₈	—	47	2	no	—
750	#436	—	47	2	no	—
751	#436	—	47	2	no	—
752	#435	—	47	2	no	—
753	#435	—	47	2	no	—
754	#428	—	47	1	no	—
755	#428	—	47	1	no	—
756	#427	—	47	1	no	—
757	#424	—	47	1	no	—
758	#418	—	47	1	no	—
759	#418	—	47	1	no	—
760	#418	—	47	2	no	—
761	#418	—	47	2	no	—
762	#418	—	47	2	no	—
763	#418	—	47	2	no	—
764	#418	—	47	2	no	—
765	#417	—	47	1	no	—
766	#417	—	47	1	no	—
767	#417	—	47	2	no	—
768	#416	—	47	1	no	—
769	#416	—	47	1	no	—
770	#416	—	47	2	no	—
771	C₂×#102	—	47	1	no	—
772	C₂×#102	—	47	1	no	—
773	C₂×#102	—	47	1	no	—
774	C₂×#102	—	47	1	no	—
775	C₂×#102	—	47	2	no	—
776	#408	—	47	1	no	—
777	#407	—	47	1	no	—
778	#405	—	47	1	no	—
779	C₄₇	#61175	1	1	yes	characteristic, complemented, Sylow
780	C₂⁵	—	94	1	no	—
781	H(5,𝔽₂)	—	94	4	no	—
782	H(5,𝔽₂)	—	188	2	no	—
783	C₂×#41	—	47	1	no	—
784	C₂×#41	—	47	2	no	—
785	C₂×#41	—	94	1	no	—
786	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
787	C₂×#41	C₂²×D₄₇	1	1	yes	characteristic
788	C₂²×D₄	—	47	1	no	—
789	C₂²×D₄	—	47	1	no	—
790	C₂²×D₄	—	47	2	no	—
791	C₂²×D₄	—	47	2	no	—
792	C₂²×D₄	—	47	2	no	—
793	C₂²×D₄	—	94	4	no	—
794	C₂²×D₄	—	94	2	no	—
795	C₂²×D₄	—	94	2	no	—
796	C₂²×D₄	—	94	2	no	—
797	C₂²×D₄	—	94	1	no	—
798	C₂²×D₄	—	94	1	no	—
799	C₂²×D₄	—	94	1	no	—
800	C₂²×D₄	—	94	1	no	—
801	C₂²×D₄	—	188	2	no	—
802	C₂³×C₄	C₂²×D₄₇	1	1	yes	characteristic
803	AGL(1,ℤ/8)	—	94	4	no	—
804	AGL(1,ℤ/8)	—	188	2	no	—
805	#135	—	188	2	no	—
806	C₂×Q₁₆	—	47	1	no	—
807	C₂×SD₁₆	—	47	2	no	—
808	C₂×SD₁₆	—	47	1	no	—
809	C₂×SD₁₆	—	47	2	no	—
810	C₂×SD₁₆	—	47	1	no	—
811	C₂×D₈	—	47	2	no	—
812	C₂×D₈	—	47	1	no	—
813	C₂×D₈	—	47	2	no	—
814	#131	—	188	2	no	—
815	C₂×M₁₆	—	47	1	no	—
816	C₂×M₁₆	—	47	1	no	—
817	C₂×M₁₆	—	47	1	no	—
818	C₂×M₁₆	—	47	1	no	—
819	C₂×M₁₆	—	47	1	no	—
820	C₂×M₁₆	—	47	1	no	—
821	C₂×M₁₆	—	47	2	no	—
822	C₂×M₁₆	—	188	2	no	—
823	C₂²×C₈	—	47	1	no	—
824	C₂²×C₈	—	47	1	no	—
825	C₂²×C₈	—	47	2	no	—
826	C₄⋊Q₈	—	2	1	no	—
827	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	complemented
828	#127	—	47	2	no	—
829	#127	—	94	1	no	—
830	#126	—	2	2	no	—
831	#126	—	2	2	no	—
832	#126	—	2	2	no	—
833	#126	—	2	2	no	—
834	#125	—	2	2	no	—
835	#125	—	2	1	no	—
836	#125	C₂²×D₄₇	1	2	yes	complemented
837	#124	—	2	2	no	—
838	#124	—	2	2	no	—
839	#124	—	2	2	no	—
840	#124	—	47	2	no	—
841	#124	—	94	1	no	—
842	#123	—	2	2	no	—
843	#123	—	2	1	no	—
844	#123	—	2	2	no	—
845	#123	—	94	1	no	—
846	#123	—	94	2	no	—
847	#123	—	94	2	no	—
848	#123	C₂²⋊D₄₇	1	2	yes	—
849	C₂²⋊Q₈	—	2	1	no	—
850	C₂²⋊Q₈	—	2	2	no	—
851	C₂²⋊Q₈	—	47	1	no	—
852	C₂²⋊Q₈	—	47	1	no	—
853	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
854	C₂²⋊Q₈	C₂²⋊D₄₇	1	1	yes	characteristic
855	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
856	C₂²⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
857	C₂²⋊Q₈	C₂²×D₄₇	1	2	yes	complemented
858	#121	—	2	2	no	—
859	#121	—	2	1	no	—
860	#121	—	2	2	no	—
861	#121	—	2	2	no	—
862	#121	—	47	1	no	—
863	#121	—	47	1	no	—
864	#121	—	47	2	no	—
865	#121	—	47	2	no	—
866	#121	—	94	2	no	—
867	#121	—	94	2	no	—
868	#121	—	94	1	no	—
869	#121	—	94	1	no	—
870	#121	—	94	2	no	—
871	#121	—	94	2	no	—
872	#121	C₂²⋊D₄₇	1	1	yes	characteristic
873	#121	C₂²⋊D₄₇	1	1	yes	characteristic
874	#121	C₂²×D₄₇	1	1	yes	characteristic
875	#121	C₂²×D₄₇	1	1	yes	characteristic
876	#121	C₂²×D₄₇	1	2	yes	complemented
877	#120	—	2	1	no	—
878	#120	—	94	1	no	—
879	#120	—	94	2	no	—
880	#120	—	94	2	no	—
881	#120	—	94	2	no	—
882	#120	—	94	2	no	—
883	#120	—	94	2	no	—
884	#120	—	94	2	no	—
885	#120	—	94	2	no	—
886	#120	—	94	2	no	—
887	#120	C₂²⋊D₄₇	1	2	yes	—
888	C₄×Q₈	—	2	1	no	—
889	C₄×Q₈	—	2	2	no	—
890	C₄×Q₈	C₂²×D₄₇	1	2	yes	complemented
891	C₄×D₄	—	2	2	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	2	no	—
896	C₄×D₄	—	2	2	no	—
897	C₄×D₄	—	47	2	no	—
898	C₄×D₄	—	47	2	no	—
899	C₄×D₄	—	94	1	no	—
900	C₄×D₄	—	94	1	no	—
901	C₄×D₄	—	94	1	no	—
902	C₄×D₄	—	94	1	no	—
903	C₄×D₄	C₂²×D₄₇	1	2	yes	—
904	C₄×D₄	C₂²×D₄₇	1	2	yes	—
905	C₄×D₄	C₂²×D₄₇	1	2	yes	complemented
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	2	no	—
910	#117	—	2	2	no	—
911	#117	—	47	1	no	—
912	#117	C₂²×D₄₇	1	2	yes	—
913	#117	C₂²×D₄₇	1	2	yes	—
914	#117	C₂²×D₄₇	1	1	yes	characteristic
915	#117	C₂²×D₄₇	1	1	yes	characteristic
916	#117	C₂²×D₄₇	1	2	yes	complemented
917	C₂×C₄⋊C₄	—	2	1	no	—
918	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₄₇	1	2	yes	complemented
921	C₂×C₂²⋊C₄	—	2	1	no	—
922	C₂×C₂²⋊C₄	—	94	2	no	—
923	C₂×C₂²⋊C₄	—	94	2	no	—
924	C₂×C₂²⋊C₄	—	94	2	no	—
925	C₂×C₄²	—	2	1	no	—
926	#107	—	47	1	no	—
927	#107	—	47	1	no	—
928	#107	—	47	2	no	—
929	#107	—	47	2	no	—
930	#106	—	47	1	no	—
931	#106	—	47	1	no	—
932	#106	—	47	2	no	—
933	#106	—	47	2	no	—
934	C₄⋊C₈	—	47	2	no	—
935	C₄⋊C₈	—	47	2	no	—
936	#103	—	47	1	no	—
937	#103	—	47	1	no	—
938	#103	—	47	1	no	—
939	#103	—	47	2	no	—
940	#103	—	47	1	no	—
941	#103	—	47	2	no	—
942	#102	—	47	1	no	—
943	#102	—	47	1	no	—
944	#102	—	47	2	no	—
945	#102	—	47	2	no	—
946	#102	—	47	2	no	—
947	#102	—	47	2	no	—
948	#102	—	47	2	no	—
949	#102	—	47	2	no	—
950	#102	—	47	2	no	—
951	#102	—	47	2	no	—
952	#102	—	47	2	no	—
953	#102	—	47	2	no	—
954	#102	—	47	2	no	—
955	#102	—	47	2	no	—
956	#102	—	47	1	no	—
957	#102	—	47	2	no	—
958	#102	—	47	1	no	—
959	#102	—	47	2	no	—
960	C₂²⋊C₈	—	47	2	no	—
961	C₂²⋊C₈	—	47	2	no	—
962	C₂²⋊C₈	—	47	2	no	—
963	C₂²⋊C₈	—	47	2	no	—
964	#97	—	47	2	no	—
965	C₄×C₈	—	47	2	no	—
966	C₂⁴	—	94	1	no	—
967	C₂⁴	—	94	1	no	—
968	C₂⁴	—	94	2	no	—
969	C₂⁴	—	94	2	no	—
970	C₂⁴	—	94	2	no	—
971	C₂⁴	—	376	2	no	—
972	C₂⁴	—	376	2	no	—
973	C₂⁴	—	188	4	no	—
974	C₂⁴	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
975	#41	—	2	2	no	—
976	#41	—	2	2	no	—
977	#41	—	2	2	no	—
978	#41	—	2	2	no	—
979	#41	—	94	4	no	—
980	#41	—	94	2	no	—
981	#41	—	94	2	no	—
982	#41	—	188	2	no	—
983	#41	—	188	4	no	—
984	C₂×Q₈	—	2	2	no	—
985	C₂×Q₈	—	47	1	no	—
986	C₂×Q₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
987	C₂×Q₈	C₂³×D₄₇	1	1	yes	characteristic
988	C₂×D₄	—	2	1	no	—
989	C₂×D₄	—	2	1	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	2	no	—
992	C₂×D₄	—	47	4	no	—
993	C₂×D₄	—	47	2	no	—
994	C₂×D₄	—	47	2	no	—
995	C₂×D₄	—	47	1	no	—
996	C₂×D₄	—	94	4	no	—
997	C₂×D₄	—	94	4	no	—
998	C₂×D₄	—	94	4	no	—
999	C₂×D₄	—	94	2	no	—
1000	C₂×D₄	—	94	2	no	—
1001	C₂×D₄	—	94	1	no	—
1002	C₂×D₄	—	94	1	no	—
1003	C₂×D₄	—	94	1	no	—
1004	C₂×D₄	—	94	2	no	—
1005	C₂×D₄	—	94	1	no	—
1006	C₂×D₄	—	94	2	no	—
1007	C₂×D₄	—	94	2	no	—
1008	C₂×D₄	—	94	2	no	—
1009	C₂×D₄	—	94	2	no	—
1010	C₂×D₄	—	94	2	no	—
1011	C₂×D₄	—	94	1	no	—
1012	C₂×D₄	—	94	2	no	—
1013	C₂×D₄	—	94	2	no	—
1014	C₂×D₄	—	94	2	no	—
1015	C₂×D₄	—	376	4	no	—
1016	C₂×D₄	—	376	4	no	—
1017	C₂×D₄	—	188	2	no	—
1018	C₂×D₄	—	188	2	no	—
1019	C₂×D₄	—	188	2	no	—
1020	C₂×D₄	—	188	4	no	—
1021	C₂×D₄	—	188	4	no	—
1022	C₂×D₄	—	188	4	no	—
1023	C₂×D₄	—	188	4	no	—
1024	C₂×D₄	—	188	8	no	—
1025	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1026	C₂×D₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1027	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1028	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1029	C₂×D₄	C₂³×D₄₇	1	1	yes	characteristic
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	94	2	no	—
1038	C₂²×C₄	—	94	2	no	—
1039	C₂²×C₄	—	94	2	no	—
1040	C₂²×C₄	—	94	1	no	—
1041	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1042	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1043	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₄₇	1	2	yes	—
1045	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
1048	Q₁₆	—	188	1	no	—
1049	SD₁₆	—	94	4	no	—
1050	SD₁₆	—	188	1	no	—
1051	SD₁₆	—	188	1	no	—
1052	SD₁₆	—	188	2	no	—
1053	D₈	—	94	4	no	—
1054	D₈	—	188	1	no	—
1055	D₈	—	188	2	no	—
1056	M₁₆	—	94	2	no	—
1057	M₁₆	—	94	2	no	—
1058	M₁₆	—	188	1	no	—
1059	M₁₆	—	188	1	no	—
1060	M₁₆	—	188	1	no	—
1061	M₁₆	—	188	1	no	—
1062	M₁₆	—	188	2	no	—
1063	C₂×C₈	—	47	1	no	—
1064	C₂×C₈	—	47	2	no	—
1065	C₂×C₈	—	47	1	no	—
1066	C₂×C₈	—	47	1	no	—
1067	C₂×C₈	—	47	1	no	—
1068	C₂×C₈	—	47	2	no	—
1069	C₂×C₈	—	94	2	no	—
1070	C₂×C₈	—	94	2	no	—
1071	C₂×C₈	—	188	2	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	1	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	1	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	—	2	2	no	—
1081	C₄⋊C₄	—	2	2	no	—
1082	C₄⋊C₄	—	47	1	no	—
1083	C₄⋊C₄	—	47	1	no	—
1084	C₄⋊C₄	—	94	1	no	—
1085	C₄⋊C₄	—	94	1	no	—
1086	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1087	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
1088	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1089	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1090	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1091	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1092	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1093	C₄⋊C₄	C₂³×D₄₇	1	1	yes	characteristic
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	2	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	94	1	no	—
1106	C₂²⋊C₄	—	94	1	no	—
1107	C₂²⋊C₄	—	94	1	no	—
1108	C₂²⋊C₄	—	94	2	no	—
1109	C₂²⋊C₄	—	94	2	no	—
1110	C₂²⋊C₄	—	94	2	no	—
1111	C₂²⋊C₄	—	94	2	no	—
1112	C₂²⋊C₄	—	94	2	no	—
1113	C₂²⋊C₄	—	94	2	no	—
1114	C₂²⋊C₄	—	94	1	no	—
1115	C₂²⋊C₄	—	94	1	no	—
1116	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1117	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1118	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1119	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1120	C₂²⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
1121	C₄²	—	2	2	no	—
1122	C₄²	—	2	2	no	—
1123	C₄²	—	2	2	no	—
1124	C₄²	—	2	2	no	—
1125	C₄²	—	2	1	no	—
1126	C₄²	—	94	1	no	—
1127	C₄²	C₂³×D₄₇	1	2	yes	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	4	1	no	—
1131	C₂³	—	4	1	no	—
1132	C₂³	—	94	4	no	—
1133	C₂³	—	94	2	no	—
1134	C₂³	—	94	2	no	—
1135	C₂³	—	94	1	no	—
1136	C₂³	—	376	1	no	—
1137	C₂³	—	376	1	no	—
1138	C₂³	—	376	1	no	—
1139	C₂³	—	376	1	no	—
1140	C₂³	—	376	2	no	—
1141	C₂³	—	376	2	no	—
1142	C₂³	—	376	2	no	—
1143	C₂³	—	376	2	no	—
1144	C₂³	—	376	16	no	—
1145	C₂³	—	188	4	no	—
1146	C₂³	—	188	4	no	—
1147	C₂³	—	188	4	no	—
1148	C₂³	—	188	4	no	—
1149	C₂³	—	188	4	no	—
1150	C₂³	—	188	2	no	—
1151	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1152	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1153	C₂³	C₂²×C₂²⋊D₄₇	1	2	yes	—
1154	C₂³	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1155	Q₈	—	2	2	no	—
1156	Q₈	—	2	1	no	—
1157	Q₈	—	2	1	no	—
1158	Q₈	—	8	2	no	—
1159	Q₈	—	94	1	no	—
1160	Q₈	—	94	1	no	—
1161	D₄	—	2	4	no	—
1162	D₄	—	2	2	no	—
1163	D₄	—	2	1	no	—
1164	D₄	—	2	1	no	—
1165	D₄	—	4	2	no	—
1166	D₄	—	4	2	no	—
1167	D₄	—	4	2	no	—
1168	D₄	—	8	1	no	—
1169	D₄	—	8	2	no	—
1170	D₄	—	8	1	no	—
1171	D₄	—	47	4	no	—
1172	D₄	—	94	4	no	—
1173	D₄	—	94	2	no	—
1174	D₄	—	94	1	no	—
1175	D₄	—	94	2	no	—
1176	D₄	—	94	2	no	—
1177	D₄	—	94	1	no	—
1178	D₄	—	376	2	no	—
1179	D₄	—	376	2	no	—
1180	D₄	—	376	2	no	—
1181	D₄	—	376	2	no	—
1182	D₄	—	188	4	no	—
1183	D₄	—	188	4	no	—
1184	D₄	—	188	4	no	—
1185	D₄	—	188	4	no	—
1186	D₄	—	188	2	no	—
1187	D₄	—	188	2	no	—
1188	D₄	—	188	2	no	—
1189	D₄	—	188	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	4	2	no	—
1205	C₂×C₄	—	8	2	no	—
1206	C₂×C₄	—	8	1	no	—
1207	C₂×C₄	—	8	2	no	—
1208	C₂×C₄	—	8	1	no	—
1209	C₂×C₄	—	94	1	no	—
1210	C₂×C₄	—	94	1	no	—
1211	C₂×C₄	—	94	1	no	—
1212	C₂×C₄	—	376	2	no	—
1213	C₂×C₄	—	376	2	no	—
1214	C₂×C₄	—	188	4	no	—
1215	C₂×C₄	—	188	2	no	—
1216	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1217	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1218	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1219	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1220	C₂×C₄	C₂²×C₂²⋊D₄₇	1	2	yes	—
1221	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
1222	C₂×C₄	#41×D₄₇	1	2	yes	—
1223	C₂×C₄	#13094070	1	2	yes	—
1224	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1225	C₈	—	94	2	no	—
1226	C₈	—	94	1	no	—
1227	C₈	—	94	1	no	—
1228	C₈	—	94	1	no	—
1229	C₈	—	94	1	no	—
1230	C₈	—	94	2	no	—
1231	C₂²	—	2	1	no	—
1232	C₂²	—	2	1	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	2	no	—
1236	C₂²	—	2	2	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	1	no	—
1241	C₂²	—	2	1	no	—
1242	C₂²	—	4	4	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	94	4	no	—
1247	C₂²	—	376	4	no	—
1248	C₂²	—	376	4	no	—
1249	C₂²	—	376	8	no	—
1250	C₂²	—	376	8	no	—
1251	C₂²	—	188	1	no	—
1252	C₂²	—	188	2	no	—
1253	C₂²	—	188	1	no	—
1254	C₂²	—	188	1	no	—
1255	C₂²	—	188	2	no	—
1256	C₂²	—	188	2	no	—
1257	C₂²	—	188	2	no	—
1258	C₂²	—	188	2	no	—
1259	C₂²	—	752	4	no	—
1260	C₂²	#15689761	1	2	yes	—
1261	C₂²	C₂³×C₂²⋊D₄₇	1	1	yes	characteristic
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	2	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	2	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	188	1	no	—
1273	C₄	—	188	1	no	—
1274	C₄	—	188	1	no	—
1275	C₄	#15689761	1	2	yes	—
1276	C₄	C₂×#41×D₄₇	1	1	yes	characteristic
1277	C₄	C₂×#13094070	1	1	yes	characteristic
1278	C₂	—	2	2	no	—
1279	C₂	—	4	1	no	—
1280	C₂	—	4	1	no	—
1281	C₂	—	4	2	no	—
1282	C₂	—	8	1	no	—
1283	C₂	—	376	2	no	—
1284	C₂	—	376	1	no	—
1285	C₂	—	188	4	no	—
1286	C₂	C₂×#15689761	1	1	yes	characteristic
1287	C₂	#20258167	1	1	yes	characteristic
1288	C₂	#20258167	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×#3493	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	#3493	D₄₇
hypocenter	C₄₇	#61175
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3493

Complements

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

N	H ≅ G/N	type
1. #20257021	C₂	semidirect
2. #20255624	C₂	semidirect
3. #20255613	C₂	semidirect
4. #20255598	C₂	semidirect
5. #20255583	C₂	semidirect
6. #20255538	C₂	semidirect
7. #20255523	C₂	semidirect
8. #20255418	C₂	semidirect
9. #20255403	C₂	semidirect
10. #20253747	C₂	semidirect
11. #20253346	C₂	semidirect
12. #20253319	C₂	semidirect
13. #20253213	C₂	semidirect
14. #20253070	C₂	semidirect
15. #20252994	C₂	semidirect
16. #20252927	C₂	semidirect
17. #20252689	C₂	semidirect
18. #20252614	C₂	semidirect
19. #20252216	C₂	semidirect
20. #20252092	C₂	semidirect
21. #20251911	C₂	semidirect
22. C₂×#15689127	C₂	semidirect
23. C₄₇×#3493	C₂	semidirect
27. C₂×#13094049	C₂²	semidirect
28. C₂×#13094044	C₂²	semidirect
29. C₂×#13094031	C₂²	semidirect
30. C₂²×#10625329	C₂²	semidirect
45. #15689489	C₂²	semidirect
46. #15689485	C₂²	semidirect
47. #15689480	C₂²	semidirect
48. #15689471	C₂²	semidirect
49. #15689464	C₂²	semidirect
50. #15689464	C₂²	semidirect
51. #15689447	C₂²	semidirect
52. #15689447	C₂²	semidirect
53. #15689447	C₂²	semidirect
54. #15689447	C₂²	semidirect
55. #15689441	C₂²	semidirect
56. #15689436	C₂²	semidirect
57. #15689420	C₂²	semidirect
58. #15689420	C₂²	semidirect
59. #15689410	C₂²	semidirect
60. #15689400	C₂²	semidirect
61. #15689379	C₂²	semidirect
62. #15689379	C₂²	semidirect
63. #15689374	C₂²	semidirect
64. #15689374	C₂²	semidirect
65. #15689374	C₂²	semidirect
66. #15689371	C₂²	semidirect
67. #15689371	C₂²	semidirect
68. #15689371	C₂²	semidirect
69. #15689367	C₂²	semidirect
70. #15689367	C₂²	semidirect
71. #15689357	C₂²	semidirect
72. #15689354	C₂²	semidirect
73. #15689345	C₂²	semidirect
74. #15689338	C₂²	semidirect
75. #15689323	C₂²	semidirect
76. #15689318	C₂²	semidirect
77. #15689283	C₂²	semidirect
78. #15689273	C₂²	semidirect
79. #15689273	C₂²	semidirect
80. #15689273	C₂²	semidirect
81. #15689266	C₂²	semidirect
82. #15689256	C₂²	semidirect
83. #15689256	C₂²	semidirect
84. #15689256	C₂²	semidirect
85. #15689233	C₂²	semidirect
86. #15689221	C₂²	semidirect
87. C₄×#10625336	C₂²	semidirect
88. C₄×#10625334	C₂²	semidirect
89. #15689201	C₂²	semidirect
90. #15689201	C₂²	semidirect
91. #15689195	C₂²	semidirect
92. #15689195	C₂²	semidirect
93. #15689163	C₂²	semidirect
94. #15689163	C₂²	semidirect
95. #15689159	C₂²	semidirect
96. #15689150	C₂²	semidirect
98. #15689127	C₂²	semidirect
99. #15689127	C₂²	semidirect
100. #15689127	C₂²	semidirect
101. #15689127	C₂²	semidirect
102. #15689127	C₂²	semidirect
103. #15689127	C₂²	semidirect
104. #15689122	C₂²	semidirect
105. #15689122	C₂²	semidirect
106. #15689122	C₂²	semidirect
107. #15689119	C₂²	semidirect
108. #15689117	C₂²	semidirect
109. #15689117	C₂²	semidirect
112. C₂×#13093944	C₂²	semidirect
113. C₂×#13093944	C₂²	semidirect
114. C₂×#13093944	C₂²	semidirect
115. #15689090	C₂²	semidirect
116. #15689087	C₂²	semidirect
117. #15689079	C₂²	semidirect
119. C₄₇×#556	C₂²	semidirect
121. C₄₇×#555	C₂²	semidirect
123. C₄₇×#553	C₂²	semidirect
125. C₄₇×#552	C₂²	semidirect
126. C₄₇×#544	C₂²	semidirect
128. C₄₇×#537	C₂²	semidirect
131. C₄₇×#525	C₂²	semidirect
132. C₄₇×#520	C₂²	semidirect
133. C₄₇×#520	C₂²	semidirect
134. C₂×#117×C₄₇	C₂²	semidirect
158. C₂×#10625337	C₂³	semidirect
159. C₂×#10625335	C₂³	semidirect
162. C₂×#10625336	C₂³	semidirect
165. C₂×#10625334	C₂³	semidirect
174. C₂×#10625329	C₂³	semidirect
177. C₂²×C₄₇⋊C₈	C₂³	semidirect
216. #13093957	C₂³	semidirect
217. #13093957	C₂³	semidirect
218. #13093957	C₂³	semidirect
219. #13093957	C₂³	semidirect
220. #13093955	C₂³	semidirect
221. #13093955	C₂³	semidirect
222. #13093955	C₂³	semidirect
223. #13093955	C₂³	semidirect
224. C₄⋊(C₄₇⋊C₈)	C₂³	semidirect
225. C₄⋊(C₄₇⋊C₈)	C₂³	semidirect
226. #13093948	C₂³	semidirect
227. #13093948	C₂³	semidirect
228. #13093947	C₂³	semidirect
229. #13093947	C₂³	semidirect
230. #13093947	C₂³	semidirect
231. #13093947	C₂³	semidirect
232. #13093945	C₂³	semidirect
233. #13093945	C₂³	semidirect
246. #13093944	C₂³	semidirect
247. #13093944	C₂³	semidirect
248. #13093944	C₂³	semidirect
249. #13093944	C₂³	semidirect
252. C₂²⋊(C₄₇⋊C₈)	C₂³	semidirect
253. C₂²⋊(C₄₇⋊C₈)	C₂³	semidirect
254. #13093935	C₂³	semidirect
255. C₄×C₄₇⋊C₈	C₂³	semidirect
260. C₄⋊Q₈×C₄₇	C₂³	semidirect
267. #125×C₄₇	C₂³	semidirect
281. C₂²⋊Q₈×C₄₇	C₂³	semidirect
290. #121×C₄₇	C₂³	semidirect
295. C₄×Q₈×C₄₇	C₂³	semidirect
304. C₄×D₄×C₄₇	C₂³	semidirect
314. #117×C₄₇	C₂³	semidirect
318. C₂×C₄⋊C₄×C₄₇	C₂³	semidirect
634. #3493	D₄₇	semidirect
676. #556	C₂×D₄₇	semidirect
678. #555	C₂×D₄₇	semidirect
680. #553	C₂×D₄₇	semidirect
682. #552	C₂×D₄₇	semidirect
691. #544	C₂×D₄₇	semidirect
693. #537	C₂×D₄₇	semidirect
700. #525	C₂×D₄₇	semidirect
702. #520	C₂×D₄₇	semidirect
703. #520	C₂×D₄₇	semidirect
705. C₂×#117	C₂×D₄₇	semidirect
779. C₄₇	#61175	semidirect
827. C₄⋊Q₈	C₂²×D₄₇	semidirect
836. #125	C₂²×D₄₇	semidirect
857. C₂²⋊Q₈	C₂²×D₄₇	semidirect
876. #121	C₂²×D₄₇	semidirect
890. C₄×Q₈	C₂²×D₄₇	semidirect
905. C₄×D₄	C₂²×D₄₇	semidirect
916. #117	C₂²×D₄₇	semidirect
920. C₂×C₄⋊C₄	C₂²×D₄₇	semidirect

Maximal subgroups

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

subgroup	index
#20257021	2
#20255624	2
#20255613	2
#20255598	2
#20255583	2
#20255538	2
#20255523	2
#20255418	2
#20255403	2
#20253747	2
#20253346	2
#20253319	2
#20253213	2
#20253070	2
#20252994	2
#20252927	2
#20252689	2
#20252614	2
#20252216	2
#20252092	2
#20251911	2
C₂×#15689127	2
C₄₇×#3493	2
#61175	47