Subgroups — #27093669

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	#20257108	C₂	1	1	yes	maximal, characteristic, complemented
2	#20257023	C₂	1	1	yes	maximal, characteristic, complemented
3	#20255626	C₂	1	2	yes	maximal, complemented
4	#20255615	C₂	1	2	yes	maximal, complemented
5	#20255600	C₂	1	2	yes	maximal, complemented
6	#20255585	C₂	1	2	yes	maximal, complemented
7	#20255545	C₂	1	2	yes	maximal, complemented
8	#20255530	C₂	1	2	yes	maximal, complemented
9	#20255425	C₂	1	2	yes	maximal, complemented
10	#20255410	C₂	1	2	yes	maximal, complemented
11	#20253740	C₂	1	1	yes	maximal, characteristic, complemented
12	#20253342	C₂	1	1	yes	maximal, characteristic, complemented
13	#20253319	C₂	1	1	yes	maximal, characteristic, complemented
14	#20253215	C₂	1	1	yes	maximal, characteristic, complemented
15	#20253066	C₂	1	1	yes	maximal, characteristic, complemented
16	#20252997	C₂	1	1	yes	maximal, characteristic, complemented
17	#20252932	C₂	1	1	yes	maximal, characteristic, complemented
18	#20252697	C₂	1	1	yes	maximal, characteristic, complemented
19	#20252615	C₂	1	1	yes	maximal, characteristic, complemented
20	#20252214	C₂	1	1	yes	maximal, characteristic, complemented
21	#20252091	C₂	1	1	yes	maximal, characteristic, complemented
22	#20251909	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₇×#418	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13094069	C₂²	1	1	yes	characteristic
25	C₂×#13094050	C₂²	1	1	yes	characteristic
26	C₂×#13094050	C₂²	1	1	yes	characteristic, complemented
27	C₂×#13094046	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13094030	C₂²	1	1	yes	characteristic, complemented
29	#15689841	—	2	1	no	—
30	#15689841	C₂²	1	2	yes	complemented
31	#15689836	—	2	1	no	—
32	#15689836	C₂²	1	2	yes	complemented
33	#15689817	—	2	1	no	—
34	#15689817	C₂²	1	2	yes	complemented
35	#15689812	—	2	1	no	—
36	#15689812	C₂²	1	2	yes	complemented
37	#15689767	—	2	1	no	—
38	#15689767	—	2	1	no	—
39	#15689767	C₂²	1	2	yes	—
40	#15689767	C₂²	1	2	yes	—
41	D₄×C₂²⋊D₄₇	—	2	1	no	—
42	D₄×C₂²⋊D₄₇	—	2	1	no	—
43	D₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
44	D₄×C₂²⋊D₄₇	C₂²	1	2	yes	—
45	#15689754	C₂²	1	1	yes	characteristic, complemented
46	#15689711	—	2	2	no	—
47	#15689704	C₂²	1	1	yes	characteristic, complemented
48	#15689690	C₂²	1	1	yes	characteristic
49	#15689690	C₂²	1	1	yes	characteristic
50	#15689682	—	2	2	no	—
51	#15689657	—	2	2	no	—
52	#15689634	C₂²	1	1	yes	characteristic
53	#15689634	C₂²	1	1	yes	characteristic
54	#15689634	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13093993	—	2	2	no	—
56	#15689604	C₂²	1	1	yes	characteristic, complemented
57	#15689604	C₂²	1	1	yes	characteristic, complemented
58	#15689598	C₂²	1	1	yes	characteristic
59	#15689486	C₂²	1	2	yes	complemented
60	#15689481	C₂²	1	2	yes	complemented
61	#15689476	C₂²	1	2	yes	complemented
62	#15689468	C₂²	1	2	yes	complemented
63	#15689464	C₂²	1	2	yes	complemented
64	#15689464	C₂²	1	2	yes	complemented
65	#15689447	C₂²	1	2	yes	complemented
66	#15689447	C₂²	1	2	yes	complemented
67	#15689446	C₂²	1	2	yes	complemented
68	#15689445	C₂²	1	2	yes	complemented
69	#15689440	C₂²	1	2	yes	complemented
70	#15689435	C₂²	1	2	yes	complemented
71	#15689425	C₂²	1	2	yes	complemented
72	#15689421	C₂²	1	2	yes	complemented
73	#15689411	C₂²	1	2	yes	complemented
74	#15689401	C₂²	1	2	yes	complemented
75	#15689381	C₂²	1	1	yes	characteristic, complemented
76	#15689381	C₂²	1	1	yes	characteristic, complemented
77	#15689376	C₂²	1	1	yes	characteristic, complemented
78	#15689376	C₂²	1	1	yes	characteristic, complemented
79	#15689375	C₂²	1	2	yes	complemented
80	#15689369	C₂²	1	1	yes	characteristic, complemented
81	#15689369	C₂²	1	1	yes	characteristic, complemented
82	#15689369	C₂²	1	1	yes	characteristic, complemented
83	#15689369	C₂²	1	1	yes	characteristic, complemented
84	#15689368	C₂²	1	2	yes	complemented
85	#15689358	C₂²	1	2	yes	complemented
86	#15689351	C₂²	1	2	yes	complemented
87	#15689344	C₂²	1	2	yes	complemented
88	#15689337	C₂²	1	2	yes	complemented
89	#15689322	C₂²	1	2	yes	complemented
90	#15689317	C₂²	1	2	yes	complemented
91	#15689286	C₂²	1	2	yes	complemented
92	#15689275	C₂²	1	2	yes	complemented
93	#15689274	C₂²	1	2	yes	complemented
94	#15689274	C₂²	1	2	yes	complemented
95	#15689269	C₂²	1	2	yes	complemented
96	#15689258	C₂²	1	2	yes	complemented
97	#15689257	C₂²	1	2	yes	complemented
98	#15689257	C₂²	1	2	yes	complemented
99	#15689232	C₂²	1	2	yes	complemented
100	#15689220	C₂²	1	2	yes	complemented
101	#15689214	C₂²	1	2	yes	complemented
102	#15689203	C₂²	1	2	yes	complemented
103	#15689199	C₂²	1	2	yes	complemented
104	#15689199	C₂²	1	2	yes	complemented
105	#15689192	C₂²	1	2	yes	complemented
106	#15689192	C₂²	1	2	yes	complemented
107	#15689163	C₂²	1	1	yes	characteristic, complemented
108	#15689163	C₂²	1	1	yes	characteristic, complemented
109	#15689161	C₂²	1	1	yes	characteristic, complemented
110	#15689149	C₂²	1	1	yes	characteristic, complemented
111	#15689128	C₂²	1	1	yes	characteristic
112	#15689128	C₂²	1	1	yes	characteristic, complemented
113	#15689126	C₂²	1	2	yes	complemented
114	#15689122	C₂²	1	1	yes	characteristic, complemented
115	#15689122	C₂²	1	1	yes	characteristic, complemented
116	#15689121	C₂²	1	2	yes	complemented
117	#15689120	C₂²	1	1	yes	characteristic, complemented
118	#15689120	C₂²	1	1	yes	characteristic, complemented
119	#15689116	C₂²	1	2	yes	complemented
120	#102×D₄₇	C₂²	1	2	yes	complemented
121	#15689089	C₂²	1	1	yes	characteristic, complemented
122	#15689087	C₂²	1	1	yes	characteristic, complemented
123	#15689078	C₂²	1	1	yes	characteristic, complemented
124	C₂³×D₄×C₄₇	C₂²	1	1	yes	characteristic
125	C₂²×M₁₆×C₄₇	C₂²	1	1	yes	characteristic, complemented
126	C₂×#117×C₄₇	C₂²	1	1	yes	characteristic, complemented
127	C₄₇×#418	C₂²	1	2	yes	complemented
128	C₄₇×#418	C₂²	1	2	yes	complemented
129	C₄₇×#418	C₂²	1	2	yes	complemented
130	C₄₇×#418	C₂²	1	2	yes	complemented
131	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic
132	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic
133	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic, complemented
134	C₂×#102×C₄₇	C₂²	1	1	yes	characteristic, complemented
135	#13094069	—	2	4	no	—
136	#13094069	—	4	2	no	—
137	C₂×#10625350	C₂³	1	1	yes	characteristic
138	C₂×#10625350	C₂³	1	1	yes	characteristic
139	C₂×#10625350	C₂³	1	1	yes	characteristic
140	C₂×#10625352	—	2	1	no	—
141	C₂×#10625352	C₂³	1	2	yes	—
142	C₂²×C₂²⋊D₄₇	—	2	2	no	—
143	C₂²×C₂²⋊D₄₇	—	2	2	no	—
144	C₂²×C₂²⋊D₄₇	—	2	2	no	—
145	C₂×D₄×D₄₇	—	2	1	no	—
146	C₂×D₄×D₄₇	C₂³	1	2	yes	—
147	#13094050	—	2	4	no	—
148	#13094050	—	4	2	no	—
149	#13094046	—	4	2	no	—
150	C₂×Dic₁₈₈	C₂³	1	1	yes	characteristic, complemented
151	C₂×#10625325	C₂³	1	1	yes	characteristic, complemented
152	C₂×#10625325	C₂³	1	1	yes	characteristic, complemented
153	C₂×#10625335	C₂³	1	2	yes	—
154	C₂×#10625335	C₂³	1	2	yes	—
155	C₂×D₃₇₆	C₂³	1	1	yes	characteristic, complemented
156	C₂×#10625334	C₂³	1	2	yes	—
157	C₂×#10625334	C₂³	1	2	yes	—
158	#13094030	—	4	2	no	—
159	C₂×#10625329	C₂³	1	1	yes	characteristic
160	C₂×#10625329	C₂³	1	1	yes	characteristic
161	C₂×#10625324	C₂³	1	2	yes	complemented
162	C₂×C₈×D₄₇	C₂³	1	2	yes	complemented
163	#13094023	—	2	1	no	—
164	#13094023	C₂³	1	2	yes	complemented
165	#13094020	—	2	1	no	—
166	#13094020	C₂³	1	2	yes	—
167	#13094018	—	2	2	no	—
168	#13094018	—	2	2	no	—
169	#13094017	—	2	2	no	—
170	#13094017	—	2	2	no	—
171	#13094016	—	2	2	no	—
172	#13094015	—	2	1	no	—
173	#13094015	C₂³	1	2	yes	complemented
174	#13094012	—	2	2	no	—
175	#13094011	—	2	1	no	—
176	#13094011	C₂³	1	2	yes	—
177	#13094010	—	2	2	no	—
178	#13094010	—	2	2	no	—
179	#13094007	—	2	1	no	—
180	#13094007	—	2	1	no	—
181	#13094007	D₄	1	2	yes	—
182	#13094006	—	2	2	no	—
183	#13094006	—	2	2	no	—
184	#13094005	—	2	2	no	—
185	#13094005	—	2	2	no	—
186	#13094004	—	2	1	no	—
187	#13094004	C₂³	1	2	yes	complemented
188	#13094003	—	2	2	no	—
189	#13094003	D₄	1	1	yes	characteristic
190	#13094003	D₄	1	1	yes	characteristic
191	#13094003	C₂³	1	1	yes	characteristic
192	#13094003	C₂³	1	1	yes	characteristic
193	#13094003	C₂³	1	1	yes	characteristic
194	#13094003	C₂³	1	1	yes	characteristic
195	#13093999	—	2	1	no	—
196	#13093999	C₂³	1	2	yes	complemented
197	#13093998	—	2	2	no	—
198	#13093998	D₄	1	1	yes	characteristic
199	#13093998	D₄	1	1	yes	characteristic
200	#13093998	C₂³	1	1	yes	characteristic
201	#13093998	C₂³	1	1	yes	characteristic
202	#13093998	C₂³	1	1	yes	characteristic
203	#13093998	C₂³	1	1	yes	characteristic
204	#13093997	—	2	2	no	—
205	#13093997	—	2	2	no	—
206	#13093996	—	2	2	no	—
207	#13093996	—	2	2	no	—
208	#13093996	—	2	2	no	—
209	#13093996	—	2	2	no	—
210	#13093995	—	2	1	no	—
211	#13093995	—	2	1	no	—
212	#13093995	C₂³	1	2	yes	—
213	#13093995	C₂³	1	2	yes	—
214	#13093993	—	2	1	no	—
215	#13093993	—	2	1	no	—
216	#13093993	—	2	2	no	—
217	#13093993	—	2	2	no	—
218	#13093993	—	2	2	no	—
219	#13093993	—	2	2	no	—
220	#13093993	—	2	2	no	—
221	#13093993	—	2	2	no	—
222	#13093993	D₄	1	2	yes	—
223	#13093992	—	2	2	no	—
224	#13093992	—	2	2	no	—
225	C₄×Dic₉₄	—	2	2	no	—
226	#13093989	—	2	1	no	—
227	#13093989	C₂³	1	2	yes	complemented
228	C₄×D₁₈₈	—	2	2	no	—
229	D₄×Dic₄₇	—	2	1	no	—
230	D₄×Dic₄₇	—	2	1	no	—
231	D₄×Dic₄₇	C₂³	1	2	yes	—
232	D₄×Dic₄₇	C₂³	1	2	yes	—
233	#13093986	—	2	1	no	—
234	#13093986	C₂³	1	2	yes	complemented
235	C₄×C₂²⋊D₄₇	—	2	1	no	—
236	C₄×C₂²⋊D₄₇	—	2	1	no	—
237	C₄×C₂²⋊D₄₇	—	2	1	no	—
238	C₄×C₂²⋊D₄₇	—	2	1	no	—
239	C₄×C₂²⋊D₄₇	—	2	2	no	—
240	C₄×C₂²⋊D₄₇	—	2	2	no	—
241	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
242	C₄×C₂²⋊D₄₇	C₂³	1	2	yes	—
243	#13093983	C₂³	1	1	yes	characteristic
244	#13093983	C₂³	1	1	yes	characteristic
245	#13093983	C₂³	1	1	yes	characteristic
246	#13093982	—	2	1	no	—
247	#13093982	C₂³	1	2	yes	complemented
248	#13093981	—	2	2	no	—
249	#13093981	—	2	2	no	—
250	C₄⋊C₄×D₄₇	—	2	1	no	—
251	C₄⋊C₄×D₄₇	C₂³	1	2	yes	complemented
252	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
253	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
254	C₂×C₂²⋊Dic₄₇	—	2	2	no	—
255	#13093958	C₂³	1	1	yes	characteristic, complemented
256	#13093958	C₂³	1	1	yes	characteristic, complemented
257	#13093957	C₂³	1	2	yes	complemented
258	#13093957	C₂³	1	2	yes	complemented
259	#13093956	C₂³	1	1	yes	characteristic, complemented
260	#13093956	C₂³	1	1	yes	characteristic, complemented
261	#13093955	C₂³	1	2	yes	complemented
262	#13093955	C₂³	1	2	yes	complemented
263	Dic₄₇⋊C₈	C₂³	1	2	yes	complemented
264	Dic₄₇⋊C₈	C₂³	1	2	yes	complemented
265	#13093949	C₂³	1	1	yes	characteristic, complemented
266	#13093949	C₂³	1	1	yes	characteristic, complemented
267	#13093949	C₂³	1	1	yes	characteristic, complemented
268	#13093949	C₂³	1	1	yes	characteristic, complemented
269	#13093947	C₂³	1	2	yes	complemented
270	#13093947	C₂³	1	2	yes	complemented
271	#13093946	C₂³	1	1	yes	characteristic, complemented
272	#13093946	C₂³	1	1	yes	characteristic, complemented
273	#13093946	C₂³	1	1	yes	characteristic, complemented
274	#13093946	C₂³	1	1	yes	characteristic, complemented
275	#13093945	C₂³	1	2	yes	—
276	#13093945	C₂³	1	2	yes	—
277	#13093945	C₂³	1	2	yes	—
278	#13093945	C₂³	1	2	yes	—
279	#13093944	C₂³	1	2	yes	complemented
280	#13093944	C₂³	1	2	yes	complemented
281	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
282	C₂²⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
283	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	complemented
284	(C₂×D₄₇)⋊C₈	C₂³	1	2	yes	complemented
285	#13093934	C₂³	1	2	yes	complemented
286	C₈×Dic₄₇	C₂³	1	2	yes	complemented
287	C₂⁵×C₄₇	—	2	1	no	—
288	C₂²×D₄×C₄₇	—	2	4	no	—
289	C₂²×D₄×C₄₇	—	2	1	no	—
290	C₂²×D₄×C₄₇	—	2	1	no	—
291	C₂²×D₄×C₄₇	—	2	1	no	—
292	C₂²×D₄×C₄₇	—	4	2	no	—
293	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
294	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
295	C₂²×D₄×C₄₇	C₂³	1	2	yes	—
296	C₂²×D₄×C₄₇	C₂³	1	1	yes	characteristic
297	C₂³×C₄×C₄₇	C₂³	1	1	yes	characteristic
298	C₂×M₁₆×C₄₇	—	4	2	no	—
299	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
300	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
301	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
302	C₂×M₁₆×C₄₇	C₂³	1	1	yes	characteristic
303	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
304	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
305	#117×C₄₇	—	2	1	no	—
306	#117×C₄₇	—	2	1	no	—
307	#117×C₄₇	C₂³	1	2	yes	—
308	#117×C₄₇	C₂³	1	2	yes	—
309	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₄×C₄₇	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
312	C₂×C₄²×C₄₇	—	2	1	no	—
313	#102×C₄₇	C₂³	1	2	yes	—
314	#102×C₄₇	C₂³	1	2	yes	—
315	#102×C₄₇	C₂³	1	2	yes	—
316	#102×C₄₇	C₂³	1	2	yes	—
317	#102×C₄₇	C₂³	1	2	yes	—
318	#102×C₄₇	C₂³	1	2	yes	—
319	#102×C₄₇	C₂³	1	2	yes	—
320	#102×C₄₇	C₂³	1	2	yes	—
321	C₂⁴×C₄₇	—	2	1	no	—
322	C₂⁴×C₄₇	—	2	2	no	—
323	C₂⁴×C₄₇	—	2	2	no	—
324	C₂⁴×C₄₇	—	2	1	no	—
325	C₂⁴×C₄₇	—	4	4	no	—
326	C₂⁴×C₄₇	—	8	2	no	—
327	C₂⁴×C₄₇	—	8	2	no	—
328	C₂⁴×C₄₇	C₂×D₄	1	1	yes	characteristic
329	C₂³×D₄₇	—	2	2	no	—
330	C₂×D₄×C₄₇	—	2	4	no	—
331	C₂×D₄×C₄₇	—	2	4	no	—
332	C₂×D₄×C₄₇	—	2	1	no	—
333	C₂×D₄×C₄₇	—	2	2	no	—
334	C₂×D₄×C₄₇	—	2	2	no	—
335	C₂×D₄×C₄₇	—	2	1	no	—
336	C₂×D₄×C₄₇	—	2	2	no	—
337	C₂×D₄×C₄₇	—	2	2	no	—
338	C₂×D₄×C₄₇	—	2	2	no	—
339	C₂×D₄×C₄₇	—	4	2	no	—
340	C₂×D₄×C₄₇	—	4	2	no	—
341	C₂×D₄×C₄₇	—	4	4	no	—
342	C₂×D₄×C₄₇	—	4	4	no	—
343	C₂×D₄×C₄₇	—	4	4	no	—
344	C₂×D₄×C₄₇	#41	1	4	yes	—
345	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
346	C₂×D₄×C₄₇	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₄₇	—	2	2	no	—
348	C₂²×C₄×C₄₇	—	2	2	no	—
349	C₂²×C₄×C₄₇	—	2	1	no	—
350	C₂²×C₄×C₄₇	—	2	1	no	—
351	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
357	C₂×C₂²⋊D₄₇	—	2	1	no	—
358	C₂×C₂²⋊D₄₇	—	2	1	no	—
359	C₂×C₂²⋊D₄₇	—	2	1	no	—
360	C₂×C₂²⋊D₄₇	—	2	1	no	—
361	C₂×C₂²⋊D₄₇	—	2	2	no	—
362	C₂×C₂²⋊D₄₇	—	2	1	no	—
363	C₂×C₂²⋊D₄₇	—	2	1	no	—
364	C₂×C₂²⋊D₄₇	—	2	2	no	—
365	C₂×C₂²⋊D₄₇	—	2	2	no	—
366	C₂×C₂²⋊D₄₇	—	2	2	no	—
367	C₂×C₂²⋊D₄₇	—	2	2	no	—
368	C₂×C₂²⋊D₄₇	—	2	2	no	—
369	C₂×C₂²⋊D₄₇	—	4	8	no	—
370	C₂×C₂²⋊D₄₇	—	8	4	no	—
371	C₂×C₂²⋊D₄₇	—	8	4	no	—
372	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
373	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
374	C₂×C₂²⋊D₄₇	C₂×D₄	1	2	yes	—
375	C₂²×Dic₄₇	—	2	2	no	—
376	C₂²×Dic₄₇	—	2	2	no	—
377	C₂²×Dic₄₇	—	2	2	no	—
378	#10625352	—	2	4	no	—
379	#10625352	—	4	2	no	—
380	#10625352	—	4	4	no	—
381	D₄×D₄₇	—	2	4	no	—
382	D₄×D₄₇	—	4	2	no	—
383	D₄×D₄₇	—	4	4	no	—
384	#10625350	—	2	2	no	—
385	#10625350	—	2	2	no	—
386	#10625350	—	2	2	no	—
387	#10625350	—	2	2	no	—
388	#10625350	—	2	2	no	—
389	#10625350	—	2	2	no	—
390	C₂×D₁₈₈	—	2	2	no	—
391	C₂×D₁₈₈	C₂×D₄	1	1	yes	characteristic
392	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
393	C₂×D₁₈₈	C₂⁴	1	1	yes	characteristic
394	C₂×C₄×D₄₇	—	2	1	no	—
395	C₂×C₄×D₄₇	—	2	1	no	—
396	C₂×C₄×D₄₇	—	2	2	no	—
397	C₂×C₄×D₄₇	—	2	2	no	—
398	C₂×C₄×D₄₇	C₂⁴	1	2	yes	—
399	C₂×Dic₉₄	—	2	2	no	—
400	C₂×Dic₉₄	C₂×D₄	1	1	yes	characteristic
401	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
402	C₂×Dic₉₄	C₂⁴	1	1	yes	characteristic
403	M₁₆×C₄₇	—	4	1	no	—
404	M₁₆×C₄₇	—	4	1	no	—
405	M₁₆×C₄₇	—	4	1	no	—
406	M₁₆×C₄₇	—	4	1	no	—
407	C₂×C₈×C₄₇	—	2	2	no	—
408	C₂×C₈×C₄₇	—	2	2	no	—
409	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
410	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
411	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
412	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
413	C₄⋊C₄×C₄₇	—	2	1	no	—
414	C₄⋊C₄×C₄₇	—	2	1	no	—
415	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
416	C₄⋊C₄×C₄₇	C₂⁴	1	2	yes	—
417	C₂²⋊C₄×C₄₇	—	2	2	no	—
418	C₂²⋊C₄×C₄₇	—	2	2	no	—
419	C₄²×C₄₇	—	2	2	no	—
420	C₄²×C₄₇	—	2	2	no	—
421	C₂²⋊Dic₄₇	—	2	1	no	—
422	C₂²⋊Dic₄₇	—	2	1	no	—
423	C₂²⋊Dic₄₇	—	2	1	no	—
424	C₂²⋊Dic₄₇	—	2	1	no	—
425	C₂²⋊Dic₄₇	—	2	1	no	—
426	C₂²⋊Dic₄₇	—	2	1	no	—
427	C₂²⋊Dic₄₇	—	2	2	no	—
428	C₂²⋊Dic₄₇	—	2	2	no	—
429	C₂²⋊Dic₄₇	—	2	2	no	—
430	C₂²⋊Dic₄₇	—	2	2	no	—
431	C₂²⋊Dic₄₇	—	2	2	no	—
432	C₂²⋊Dic₄₇	—	2	2	no	—
433	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
434	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
435	C₂²⋊Dic₄₇	C₂×D₄	1	2	yes	—
436	#10625335	—	2	4	no	—
437	#10625335	—	4	2	no	—
438	#10625334	—	2	4	no	—
439	#10625334	—	4	2	no	—
440	(C₂×D₄₇)⋊C₄	—	2	2	no	—
441	(C₂×D₄₇)⋊C₄	—	2	2	no	—
442	(C₂×D₄₇)⋊C₄	—	2	1	no	—
443	(C₂×D₄₇)⋊C₄	—	2	1	no	—
444	(C₂×D₄₇)⋊C₄	—	2	1	no	—
445	(C₂×D₄₇)⋊C₄	—	2	1	no	—
446	(C₂×D₄₇)⋊C₄	—	2	2	no	—
447	(C₂×D₄₇)⋊C₄	—	2	2	no	—
448	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
449	(C₂×D₄₇)⋊C₄	C₂×D₄	1	2	yes	—
450	C₄⋊Dic₄₇	—	2	2	no	—
451	C₄⋊Dic₄₇	—	2	2	no	—
452	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
453	C₄⋊Dic₄₇	C₂×D₄	1	1	yes	characteristic
454	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
455	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
456	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
457	C₄⋊Dic₄₇	C₂⁴	1	1	yes	characteristic
458	Dic₄₇⋊C₄	—	2	1	no	—
459	Dic₄₇⋊C₄	—	2	1	no	—
460	Dic₄₇⋊C₄	—	2	1	no	—
461	Dic₄₇⋊C₄	—	2	1	no	—
462	Dic₄₇⋊C₄	—	2	2	no	—
463	Dic₄₇⋊C₄	—	2	2	no	—
464	Dic₄₇⋊C₄	—	2	2	no	—
465	Dic₄₇⋊C₄	—	2	2	no	—
466	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
467	Dic₄₇⋊C₄	C₂×D₄	1	2	yes	—
468	C₄×Dic₄₇	—	2	1	no	—
469	C₄×Dic₄₇	—	2	1	no	—
470	C₄×Dic₄₇	—	2	2	no	—
471	C₄×Dic₄₇	—	2	2	no	—
472	C₄×Dic₄₇	C₂⁴	1	2	yes	—
473	#10625329	—	2	2	no	—
474	#10625329	—	2	2	no	—
475	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
476	C₂×C₄₇⋊C₈	C₂⁴	1	2	yes	—
477	Dic₁₈₈	—	4	1	no	—
478	D₃₇₆	—	4	1	no	—
479	#10625325	—	4	1	no	—
480	#10625325	—	4	1	no	—
481	#10625324	—	4	2	no	—
482	C₈×D₄₇	—	4	2	no	—
483	C₂³×C₄₇	—	2	2	no	—
484	C₂³×C₄₇	—	2	2	no	—
485	C₂³×C₄₇	—	2	4	no	—
486	C₂³×C₄₇	—	2	2	no	—
487	C₂³×C₄₇	—	4	1	no	—
488	C₂³×C₄₇	—	4	1	no	—
489	C₂³×C₄₇	—	4	4	no	—
490	C₂³×C₄₇	—	4	4	no	—
491	C₂³×C₄₇	—	4	4	no	—
492	C₂³×C₄₇	—	4	4	no	—
493	C₂³×C₄₇	—	4	2	no	—
494	C₂³×C₄₇	—	8	1	no	—
495	C₂³×C₄₇	—	8	1	no	—
496	C₂³×C₄₇	—	8	1	no	—
497	C₂³×C₄₇	—	8	1	no	—
498	C₂³×C₄₇	—	8	2	no	—
499	C₂³×C₄₇	—	8	2	no	—
500	C₂³×C₄₇	—	8	16	no	—
501	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
502	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
503	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
504	C₂²×D₄₇	—	2	1	no	—
505	C₂²×D₄₇	—	2	1	no	—
506	C₂²×D₄₇	—	4	4	no	—
507	C₂²×D₄₇	—	8	2	no	—
508	C₂²×D₄₇	—	8	2	no	—
509	C₂²×D₄₇	C₂²×D₄	1	2	yes	—
510	D₄×C₄₇	—	2	4	no	—
511	D₄×C₄₇	—	2	2	no	—
512	D₄×C₄₇	—	2	2	no	—
513	D₄×C₄₇	—	2	2	no	—
514	D₄×C₄₇	—	4	4	no	—
515	D₄×C₄₇	—	4	4	no	—
516	D₄×C₄₇	—	4	2	no	—
517	D₄×C₄₇	C₂×#41	1	4	yes	—
518	C₂×C₄×C₄₇	—	2	2	no	—
519	C₂×C₄×C₄₇	—	2	2	no	—
520	C₂×C₄×C₄₇	—	2	2	no	—
521	C₂×C₄×C₄₇	—	2	1	no	—
522	C₂×C₄×C₄₇	—	2	1	no	—
523	C₂×C₄×C₄₇	—	2	1	no	—
524	C₂×C₄×C₄₇	—	2	1	no	—
525	C₂×C₄×C₄₇	—	2	2	no	—
526	C₂×C₄×C₄₇	—	2	2	no	—
527	C₂×C₄×C₄₇	—	8	1	no	—
528	C₂×C₄×C₄₇	—	8	1	no	—
529	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₄₇	C₂×#41	1	2	yes	—
533	C₂×C₄×C₄₇	H(5,𝔽₂)	1	2	yes	—
534	C₂×C₄×C₄₇	C₂⁵	1	1	yes	characteristic
535	C₂²⋊D₄₇	—	2	4	no	—
536	C₂²⋊D₄₇	—	4	2	no	—
537	C₂²⋊D₄₇	—	4	2	no	—
538	C₂²⋊D₄₇	—	4	4	no	—
539	C₂²⋊D₄₇	—	4	4	no	—
540	C₂²⋊D₄₇	—	4	2	no	—
541	C₂²⋊D₄₇	—	4	2	no	—
542	C₂²⋊D₄₇	—	4	2	no	—
543	C₂²⋊D₄₇	—	4	2	no	—
544	C₂²⋊D₄₇	—	8	2	no	—
545	C₂²⋊D₄₇	—	8	2	no	—
546	C₂²⋊D₄₇	—	8	2	no	—
547	C₂²⋊D₄₇	—	8	2	no	—
548	C₂²⋊D₄₇	—	8	1	no	—
549	C₂²⋊D₄₇	—	8	1	no	—
550	C₂×Dic₄₇	—	2	1	no	—
551	C₂×Dic₄₇	—	2	1	no	—
552	C₂×Dic₄₇	—	2	1	no	—
553	C₂×Dic₄₇	—	2	1	no	—
554	C₂×Dic₄₇	—	2	1	no	—
555	C₂×Dic₄₇	—	2	1	no	—
556	C₂×Dic₄₇	—	4	4	no	—
557	C₂×Dic₄₇	—	8	2	no	—
558	C₂×Dic₄₇	—	8	2	no	—
559	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
560	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
561	C₂×Dic₄₇	C₂²×D₄	1	2	yes	—
562	D₁₈₈	—	2	2	no	—
563	D₁₈₈	—	2	1	no	—
564	D₁₈₈	—	2	1	no	—
565	D₁₈₈	—	2	1	no	—
566	D₁₈₈	—	2	1	no	—
567	D₁₈₈	—	8	2	no	—
568	C₄×D₄₇	—	2	2	no	—
569	C₄×D₄₇	—	2	2	no	—
570	C₄×D₄₇	—	4	2	no	—
571	C₄×D₄₇	—	4	2	no	—
572	C₄×D₄₇	—	8	2	no	—
573	C₄×D₄₇	—	8	2	no	—
574	Dic₉₄	—	2	2	no	—
575	Dic₉₄	—	2	1	no	—
576	Dic₉₄	—	2	1	no	—
577	Dic₉₄	—	2	1	no	—
578	Dic₉₄	—	2	1	no	—
579	Dic₉₄	—	8	2	no	—
580	C₈×C₄₇	—	2	1	no	—
581	C₈×C₄₇	—	2	1	no	—
582	C₈×C₄₇	—	2	1	no	—
583	C₈×C₄₇	—	2	1	no	—
584	C₄₇⋊C₈	—	2	2	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	1	no	—
592	C₂²×C₄₇	—	2	1	no	—
593	C₂²×C₄₇	—	2	4	no	—
594	C₂²×C₄₇	—	2	1	no	—
595	C₂²×C₄₇	—	2	1	no	—
596	C₂²×C₄₇	—	4	4	no	—
597	C₂²×C₄₇	—	4	2	no	—
598	C₂²×C₄₇	—	4	2	no	—
599	C₂²×C₄₇	—	4	2	no	—
600	C₂²×C₄₇	—	4	2	no	—
601	C₂²×C₄₇	—	4	2	no	—
602	C₂²×C₄₇	—	8	4	no	—
603	C₂²×C₄₇	—	8	4	no	—
604	C₂²×C₄₇	—	8	8	no	—
605	C₂²×C₄₇	—	8	8	no	—
606	C₂²×C₄₇	#546	1	2	yes	—
607	C₂²×C₄₇	C₂³×D₄	1	1	yes	characteristic
608	C₂×D₄₇	—	2	2	no	—
609	C₂×D₄₇	—	2	2	no	—
610	C₂×D₄₇	—	2	2	no	—
611	C₂×D₄₇	—	4	1	no	—
612	C₂×D₄₇	—	4	1	no	—
613	C₂×D₄₇	—	4	1	no	—
614	C₂×D₄₇	—	4	1	no	—
615	C₂×D₄₇	—	4	1	no	—
616	C₂×D₄₇	—	4	1	no	—
617	C₂×D₄₇	—	16	4	no	—
618	C₄×C₄₇	—	2	1	no	—
619	C₄×C₄₇	—	2	1	no	—
620	C₄×C₄₇	—	4	2	no	—
621	C₄×C₄₇	—	4	2	no	—
622	C₄×C₄₇	#546	1	2	yes	—
623	C₄×C₄₇	C₂²×#41	1	1	yes	characteristic
624	C₄×C₄₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
625	Dic₄₇	—	2	2	no	—
626	Dic₄₇	—	2	2	no	—
627	Dic₄₇	—	2	2	no	—
628	Dic₄₇	—	4	1	no	—
629	Dic₄₇	—	4	1	no	—
630	Dic₄₇	—	4	1	no	—
631	Dic₄₇	—	4	1	no	—
632	Dic₄₇	—	4	1	no	—
633	Dic₄₇	—	4	1	no	—
634	#3493	—	47	1	no	—
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	D₄₇	1	1	yes	characteristic, complemented
657	C₂×C₄₇	—	2	2	no	—
658	C₂×C₄₇	—	4	4	no	—
659	C₂×C₄₇	—	4	1	no	—
660	C₂×C₄₇	—	4	1	no	—
661	C₂×C₄₇	—	8	2	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	2	no	—
666	D₄₇	—	8	1	no	—
667	D₄₇	—	8	1	no	—
668	C₂×H(5,𝔽₂)	—	47	1	no	—
669	C₂³×D₄	C₂×D₄₇	1	1	yes	characteristic
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	C₂×D₄₇	1	1	yes	characteristic, complemented
675	#556	—	47	2	no	—
676	#556	—	94	1	no	—
677	#555	—	47	2	no	—
678	#555	—	94	1	no	—
679	#553	—	47	2	no	—
680	#553	—	94	1	no	—
681	#552	—	47	2	no	—
682	#552	—	94	1	no	—
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	—	47	1	no	—
692	#538	—	94	2	no	—
693	#537	—	47	1	no	—
694	#535	—	47	1	no	—
695	#535	—	47	1	no	—
696	#534	—	94	2	no	—
697	#529	—	94	2	no	—
698	#525	—	47	1	no	—
699	#525	—	47	1	no	—
700	#525	—	47	1	no	—
701	C₂×#120	—	94	2	no	—
702	#520	—	47	1	no	—
703	#520	—	47	1	no	—
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	1	no	—
730	#468	—	47	1	no	—
731	#468	—	47	2	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	C₂×D₄₇	1	2	yes	complemented
762	#418	C₂×D₄₇	1	2	yes	complemented
763	#418	C₂×D₄₇	1	2	yes	complemented
764	#418	C₂×D₄₇	1	2	yes	complemented
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	2	no	—
772	C₂×#102	C₂×D₄₇	1	1	yes	characteristic
773	C₂×#102	C₂×D₄₇	1	1	yes	characteristic
774	C₂×#102	C₂×D₄₇	1	1	yes	characteristic, complemented
775	C₂×#102	C₂×D₄₇	1	1	yes	characteristic, complemented
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	—	2	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	—	47	1	no	—
786	C₂×#41	—	47	1	no	—
787	C₂×#41	—	94	1	no	—
788	C₂²×D₄	—	2	4	no	—
789	C₂²×D₄	—	2	1	no	—
790	C₂²×D₄	—	2	1	no	—
791	C₂²×D₄	—	2	1	no	—
792	C₂²×D₄	—	4	2	no	—
793	C₂²×D₄	—	47	2	no	—
794	C₂²×D₄	—	94	1	no	—
795	C₂²×D₄	—	94	2	no	—
796	C₂²×D₄	—	94	2	no	—
797	C₂²×D₄	—	94	2	no	—
798	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
799	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
800	C₂²×D₄	C₂²×D₄₇	1	2	yes	—
801	C₂²×D₄	C₂²×D₄₇	1	1	yes	characteristic
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	2	no	—
809	C₂×SD₁₆	—	47	1	no	—
810	C₂×SD₁₆	—	47	1	no	—
811	C₂×D₈	—	47	2	no	—
812	C₂×D₈	—	47	2	no	—
813	C₂×D₈	—	47	1	no	—
814	#131	—	188	2	no	—
815	C₂×M₁₆	—	4	2	no	—
816	C₂×M₁₆	—	47	1	no	—
817	C₂×M₁₆	—	47	1	no	—
818	C₂×M₁₆	—	47	2	no	—
819	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
820	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
821	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
822	C₂×M₁₆	C₂²×D₄₇	1	1	yes	characteristic
823	C₂²×C₈	—	47	2	no	—
824	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
825	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
826	C₄⋊Q₈	—	47	2	no	—
827	C₄⋊Q₈	—	94	1	no	—
828	#127	—	47	2	no	—
829	#127	—	94	1	no	—
830	#126	—	94	2	no	—
831	#126	—	94	2	no	—
832	#126	—	94	2	no	—
833	#126	—	94	2	no	—
834	#125	—	47	2	no	—
835	#125	—	94	2	no	—
836	#125	—	94	1	no	—
837	#124	—	47	2	no	—
838	#124	—	94	2	no	—
839	#124	—	94	2	no	—
840	#124	—	94	2	no	—
841	#124	—	94	1	no	—
842	#123	—	47	2	no	—
843	#123	—	94	2	no	—
844	#123	—	94	2	no	—
845	#123	—	94	2	no	—
846	#123	—	94	2	no	—
847	#123	—	94	1	no	—
848	#123	—	94	1	no	—
849	C₂²⋊Q₈	—	47	1	no	—
850	C₂²⋊Q₈	—	47	1	no	—
851	C₂²⋊Q₈	—	47	1	no	—
852	C₂²⋊Q₈	—	47	1	no	—
853	C₂²⋊Q₈	—	47	1	no	—
854	C₂²⋊Q₈	—	47	1	no	—
855	C₂²⋊Q₈	—	47	2	no	—
856	C₂²⋊Q₈	—	94	2	no	—
857	C₂²⋊Q₈	—	94	1	no	—
858	#121	—	47	1	no	—
859	#121	—	47	1	no	—
860	#121	—	47	2	no	—
861	#121	—	47	2	no	—
862	#121	—	47	1	no	—
863	#121	—	47	1	no	—
864	#121	—	47	1	no	—
865	#121	—	47	1	no	—
866	#121	—	47	2	no	—
867	#121	—	94	2	no	—
868	#121	—	94	2	no	—
869	#121	—	94	2	no	—
870	#121	—	94	2	no	—
871	#121	—	94	1	no	—
872	#121	—	94	2	no	—
873	#121	—	94	2	no	—
874	#121	—	94	1	no	—
875	#121	—	94	1	no	—
876	#121	—	94	2	no	—
877	#120	—	47	2	no	—
878	#120	—	94	2	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	1	no	—
887	#120	—	94	1	no	—
888	C₄×Q₈	—	47	2	no	—
889	C₄×Q₈	—	94	2	no	—
890	C₄×Q₈	—	94	1	no	—
891	C₄×D₄	—	47	2	no	—
892	C₄×D₄	—	47	2	no	—
893	C₄×D₄	—	47	2	no	—
894	C₄×D₄	—	47	2	no	—
895	C₄×D₄	—	47	2	no	—
896	C₄×D₄	—	94	2	no	—
897	C₄×D₄	—	94	2	no	—
898	C₄×D₄	—	94	1	no	—
899	C₄×D₄	—	94	1	no	—
900	C₄×D₄	—	94	1	no	—
901	C₄×D₄	—	94	2	no	—
902	C₄×D₄	—	94	1	no	—
903	C₄×D₄	—	94	1	no	—
904	C₄×D₄	—	94	1	no	—
905	C₄×D₄	—	94	1	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	47	1	no	—
909	#117	—	47	1	no	—
910	#117	—	47	1	no	—
911	#117	—	47	2	no	—
912	#117	—	94	2	no	—
913	#117	—	94	2	no	—
914	#117	—	94	1	no	—
915	#117	C₂²×D₄₇	1	2	yes	—
916	#117	C₂²×D₄₇	1	2	yes	—
917	C₂×C₄⋊C₄	—	47	2	no	—
918	C₂×C₄⋊C₄	—	94	1	no	—
919	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₄₇	1	1	yes	characteristic
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	1	no	—
940	#103	—	47	2	no	—
941	#103	—	47	2	no	—
942	#102	—	47	2	no	—
943	#102	—	47	2	no	—
944	#102	—	47	2	no	—
945	#102	—	47	2	no	—
946	#102	—	47	1	no	—
947	#102	—	47	1	no	—
948	#102	—	47	1	no	—
949	#102	—	47	1	no	—
950	#102	—	47	2	no	—
951	#102	—	47	2	no	—
952	#102	C₂²×D₄₇	1	2	yes	—
953	#102	C₂²×D₄₇	1	2	yes	—
954	#102	C₂²×D₄₇	1	2	yes	—
955	#102	C₂²×D₄₇	1	2	yes	—
956	#102	C₂²×D₄₇	1	2	yes	—
957	#102	C₂²×D₄₇	1	2	yes	—
958	#102	C₂²×D₄₇	1	2	yes	—
959	#102	C₂²×D₄₇	1	2	yes	—
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	—	2	1	no	—
967	C₂⁴	—	2	2	no	—
968	C₂⁴	—	2	2	no	—
969	C₂⁴	—	2	1	no	—
970	C₂⁴	—	4	4	no	—
971	C₂⁴	—	8	2	no	—
972	C₂⁴	—	8	2	no	—
973	C₂⁴	—	94	2	no	—
974	C₂⁴	D₄×D₄₇	1	1	yes	characteristic
975	#41	—	94	2	no	—
976	#41	—	94	2	no	—
977	#41	—	94	4	no	—
978	#41	—	94	2	no	—
979	#41	—	94	2	no	—
980	#41	—	94	2	no	—
981	#41	—	94	2	no	—
982	#41	—	188	2	no	—
983	#41	—	188	4	no	—
984	C₂×Q₈	—	47	1	no	—
985	C₂×Q₈	—	47	1	no	—
986	C₂×Q₈	—	47	1	no	—
987	C₂×Q₈	—	94	2	no	—
988	C₂×D₄	—	2	4	no	—
989	C₂×D₄	—	2	4	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	2	no	—
992	C₂×D₄	—	2	2	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	2	no	—
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	2	no	—
997	C₂×D₄	—	4	2	no	—
998	C₂×D₄	—	4	2	no	—
999	C₂×D₄	—	4	4	no	—
1000	C₂×D₄	—	4	4	no	—
1001	C₂×D₄	—	4	4	no	—
1002	C₂×D₄	—	47	2	no	—
1003	C₂×D₄	—	47	2	no	—
1004	C₂×D₄	—	47	2	no	—
1005	C₂×D₄	—	47	1	no	—
1006	C₂×D₄	—	47	1	no	—
1007	C₂×D₄	—	47	1	no	—
1008	C₂×D₄	—	94	2	no	—
1009	C₂×D₄	—	94	2	no	—
1010	C₂×D₄	—	94	2	no	—
1011	C₂×D₄	—	94	2	no	—
1012	C₂×D₄	—	94	4	no	—
1013	C₂×D₄	—	94	2	no	—
1014	C₂×D₄	—	94	2	no	—
1015	C₂×D₄	—	94	1	no	—
1016	C₂×D₄	—	94	1	no	—
1017	C₂×D₄	—	94	2	no	—
1018	C₂×D₄	—	94	1	no	—
1019	C₂×D₄	—	94	1	no	—
1020	C₂×D₄	—	94	1	no	—
1021	C₂×D₄	—	94	1	no	—
1022	C₂×D₄	—	376	4	no	—
1023	C₂×D₄	—	376	4	no	—
1024	C₂×D₄	—	188	2	no	—
1025	C₂×D₄	—	188	4	no	—
1026	C₂×D₄	—	188	8	no	—
1027	C₂×D₄	#10625350	1	4	yes	—
1028	C₂×D₄	C₂³×D₄₇	1	2	yes	—
1029	C₂×D₄	C₂³×D₄₇	1	2	yes	—
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	—	47	2	no	—
1035	C₂²×C₄	—	94	2	no	—
1036	C₂²×C₄	—	94	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	—	94	1	no	—
1042	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1043	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
1044	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
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	—	4	1	no	—
1057	M₁₆	—	4	1	no	—
1058	M₁₆	—	4	1	no	—
1059	M₁₆	—	4	1	no	—
1060	M₁₆	—	94	2	no	—
1061	M₁₆	—	94	2	no	—
1062	M₁₆	—	188	2	no	—
1063	C₂×C₈	—	2	2	no	—
1064	C₂×C₈	—	2	2	no	—
1065	C₂×C₈	—	47	2	no	—
1066	C₂×C₈	—	47	2	no	—
1067	C₂×C₈	—	188	2	no	—
1068	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1069	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1070	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1071	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	47	2	no	—
1075	C₄⋊C₄	—	47	2	no	—
1076	C₄⋊C₄	—	47	1	no	—
1077	C₄⋊C₄	—	47	1	no	—
1078	C₄⋊C₄	—	47	1	no	—
1079	C₄⋊C₄	—	47	1	no	—
1080	C₄⋊C₄	—	47	1	no	—
1081	C₄⋊C₄	—	47	1	no	—
1082	C₄⋊C₄	—	94	2	no	—
1083	C₄⋊C₄	—	94	2	no	—
1084	C₄⋊C₄	—	94	2	no	—
1085	C₄⋊C₄	—	94	2	no	—
1086	C₄⋊C₄	—	94	2	no	—
1087	C₄⋊C₄	—	94	2	no	—
1088	C₄⋊C₄	—	94	1	no	—
1089	C₄⋊C₄	—	94	1	no	—
1090	C₄⋊C₄	—	94	1	no	—
1091	C₄⋊C₄	—	94	1	no	—
1092	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1093	C₄⋊C₄	C₂³×D₄₇	1	2	yes	—
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	47	2	no	—
1097	C₂²⋊C₄	—	47	2	no	—
1098	C₂²⋊C₄	—	47	2	no	—
1099	C₂²⋊C₄	—	47	2	no	—
1100	C₂²⋊C₄	—	47	2	no	—
1101	C₂²⋊C₄	—	94	2	no	—
1102	C₂²⋊C₄	—	94	2	no	—
1103	C₂²⋊C₄	—	94	2	no	—
1104	C₂²⋊C₄	—	94	2	no	—
1105	C₂²⋊C₄	—	94	2	no	—
1106	C₂²⋊C₄	—	94	2	no	—
1107	C₂²⋊C₄	—	94	2	no	—
1108	C₂²⋊C₄	—	94	2	no	—
1109	C₂²⋊C₄	—	94	2	no	—
1110	C₂²⋊C₄	—	94	2	no	—
1111	C₂²⋊C₄	—	94	1	no	—
1112	C₂²⋊C₄	—	94	1	no	—
1113	C₂²⋊C₄	—	94	1	no	—
1114	C₂²⋊C₄	—	94	1	no	—
1115	C₂²⋊C₄	—	94	1	no	—
1116	C₂²⋊C₄	—	94	1	no	—
1117	C₂²⋊C₄	—	94	1	no	—
1118	C₂²⋊C₄	—	94	1	no	—
1119	C₂²⋊C₄	—	94	1	no	—
1120	C₂²⋊C₄	—	94	1	no	—
1121	C₄²	—	2	2	no	—
1122	C₄²	—	2	2	no	—
1123	C₄²	—	47	2	no	—
1124	C₄²	—	94	2	no	—
1125	C₄²	—	94	2	no	—
1126	C₄²	—	94	1	no	—
1127	C₄²	—	94	1	no	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	2	no	—
1130	C₂³	—	2	4	no	—
1131	C₂³	—	2	2	no	—
1132	C₂³	—	4	1	no	—
1133	C₂³	—	4	1	no	—
1134	C₂³	—	4	4	no	—
1135	C₂³	—	4	4	no	—
1136	C₂³	—	4	4	no	—
1137	C₂³	—	4	4	no	—
1138	C₂³	—	4	2	no	—
1139	C₂³	—	8	1	no	—
1140	C₂³	—	8	1	no	—
1141	C₂³	—	8	1	no	—
1142	C₂³	—	8	1	no	—
1143	C₂³	—	8	2	no	—
1144	C₂³	—	8	2	no	—
1145	C₂³	—	8	16	no	—
1146	C₂³	—	47	2	no	—
1147	C₂³	—	94	1	no	—
1148	C₂³	—	94	1	no	—
1149	C₂³	—	376	2	no	—
1150	C₂³	—	376	2	no	—
1151	C₂³	—	188	4	no	—
1152	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1153	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1154	C₂³	C₂×D₄×D₄₇	1	1	yes	characteristic
1155	Q₈	—	94	2	no	—
1156	Q₈	—	94	1	no	—
1157	Q₈	—	94	1	no	—
1158	Q₈	—	94	1	no	—
1159	Q₈	—	94	1	no	—
1160	Q₈	—	376	2	no	—
1161	D₄	—	2	4	no	—
1162	D₄	—	2	2	no	—
1163	D₄	—	2	2	no	—
1164	D₄	—	2	2	no	—
1165	D₄	—	4	4	no	—
1166	D₄	—	4	4	no	—
1167	D₄	—	4	2	no	—
1168	D₄	—	94	4	no	—
1169	D₄	—	94	2	no	—
1170	D₄	—	94	1	no	—
1171	D₄	—	94	1	no	—
1172	D₄	—	94	1	no	—
1173	D₄	—	94	1	no	—
1174	D₄	—	376	2	no	—
1175	D₄	—	376	2	no	—
1176	D₄	—	376	2	no	—
1177	D₄	—	376	1	no	—
1178	D₄	—	376	1	no	—
1179	D₄	—	376	2	no	—
1180	D₄	—	376	2	no	—
1181	D₄	—	188	2	no	—
1182	D₄	—	188	2	no	—
1183	D₄	—	188	4	no	—
1184	D₄	—	188	4	no	—
1185	D₄	—	188	2	no	—
1186	D₄	—	188	2	no	—
1187	D₄	—	188	2	no	—
1188	D₄	—	188	2	no	—
1189	D₄	C₂×#10625350	1	4	yes	—
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	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	8	1	no	—
1200	C₂×C₄	—	8	1	no	—
1201	C₂×C₄	—	47	2	no	—
1202	C₂×C₄	—	47	2	no	—
1203	C₂×C₄	—	47	2	no	—
1204	C₂×C₄	—	94	2	no	—
1205	C₂×C₄	—	94	2	no	—
1206	C₂×C₄	—	94	1	no	—
1207	C₂×C₄	—	94	1	no	—
1208	C₂×C₄	—	94	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	—	376	2	no	—
1215	C₂×C₄	—	376	2	no	—
1216	C₂×C₄	—	188	4	no	—
1217	C₂×C₄	—	188	2	no	—
1218	C₂×C₄	—	188	2	no	—
1219	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1220	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1221	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
1222	C₂×C₄	C₂×#10625350	1	2	yes	—
1223	C₂×C₄	#13094069	1	2	yes	—
1224	C₂×C₄	C₂⁴×D₄₇	1	1	yes	characteristic
1225	C₈	—	2	1	no	—
1226	C₈	—	2	1	no	—
1227	C₈	—	2	1	no	—
1228	C₈	—	2	1	no	—
1229	C₈	—	94	2	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	4	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	2	1	no	—
1240	C₂²	—	4	4	no	—
1241	C₂²	—	4	2	no	—
1242	C₂²	—	4	2	no	—
1243	C₂²	—	4	2	no	—
1244	C₂²	—	4	2	no	—
1245	C₂²	—	4	2	no	—
1246	C₂²	—	8	4	no	—
1247	C₂²	—	8	4	no	—
1248	C₂²	—	8	8	no	—
1249	C₂²	—	8	8	no	—
1250	C₂²	—	94	2	no	—
1251	C₂²	—	94	2	no	—
1252	C₂²	—	94	2	no	—
1253	C₂²	—	188	1	no	—
1254	C₂²	—	188	1	no	—
1255	C₂²	—	188	1	no	—
1256	C₂²	—	188	1	no	—
1257	C₂²	—	188	1	no	—
1258	C₂²	—	188	1	no	—
1259	C₂²	—	752	4	no	—
1260	C₂²	#15689763	1	2	yes	—
1261	C₂²	C₂²×D₄×D₄₇	1	1	yes	characteristic
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	4	2	no	—
1265	C₄	—	4	2	no	—
1266	C₄	—	94	2	no	—
1267	C₄	—	94	2	no	—
1268	C₄	—	94	2	no	—
1269	C₄	—	188	1	no	—
1270	C₄	—	188	1	no	—
1271	C₄	—	188	1	no	—
1272	C₄	—	188	1	no	—
1273	C₄	—	188	1	no	—
1274	C₄	—	188	1	no	—
1275	C₄	#15689763	1	2	yes	—
1276	C₄	C₂²×#10625350	1	1	yes	characteristic
1277	C₄	C₂×#13094069	1	1	yes	characteristic
1278	C₂	—	2	2	no	—
1279	C₂	—	4	1	no	—
1280	C₂	—	4	1	no	—
1281	C₂	—	4	4	no	—
1282	C₂	—	8	2	no	—
1283	C₂	—	376	1	no	—
1284	C₂	—	376	1	no	—
1285	C₂	—	188	2	no	—
1286	C₂	C₂×#15689763	1	1	yes	characteristic
1287	C₂	#20258164	1	1	yes	characteristic
1288	C₂	#20258164	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₇
commutator, cosocle	C₂×C₄×C₄₇	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₇
Fitting	C₂×C₄₇×#418	C₂
socle	C₂²×C₄₇	C₂³×D₄
hypercenter	C₂×#418	D₄₇
hypocenter	C₄₇	#61175
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂×#418

Complements

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

N	H ≅ G/N	type
1. #20257108	C₂	semidirect
2. #20257023	C₂	semidirect
3. #20255626	C₂	semidirect
4. #20255615	C₂	semidirect
5. #20255600	C₂	semidirect
6. #20255585	C₂	semidirect
7. #20255545	C₂	semidirect
8. #20255530	C₂	semidirect
9. #20255425	C₂	semidirect
10. #20255410	C₂	semidirect
11. #20253740	C₂	semidirect
12. #20253342	C₂	semidirect
13. #20253319	C₂	semidirect
14. #20253215	C₂	semidirect
15. #20253066	C₂	semidirect
16. #20252997	C₂	semidirect
17. #20252932	C₂	semidirect
18. #20252697	C₂	semidirect
19. #20252615	C₂	semidirect
20. #20252214	C₂	semidirect
21. #20252091	C₂	semidirect
22. #20251909	C₂	semidirect
23. C₂×C₄₇×#418	C₂	semidirect
26. C₂×#13094050	C₂²	semidirect
27. C₂×#13094046	C₂²	semidirect
28. C₂×#13094030	C₂²	semidirect
30. #15689841	C₂²	semidirect
32. #15689836	C₂²	semidirect
34. #15689817	C₂²	semidirect
36. #15689812	C₂²	semidirect
45. #15689754	C₂²	semidirect
47. #15689704	C₂²	semidirect
54. #15689634	C₂²	semidirect
56. #15689604	C₂²	semidirect
57. #15689604	C₂²	semidirect
59. #15689486	C₂²	semidirect
60. #15689481	C₂²	semidirect
61. #15689476	C₂²	semidirect
62. #15689468	C₂²	semidirect
63. #15689464	C₂²	semidirect
64. #15689464	C₂²	semidirect
65. #15689447	C₂²	semidirect
66. #15689447	C₂²	semidirect
67. #15689446	C₂²	semidirect
68. #15689445	C₂²	semidirect
69. #15689440	C₂²	semidirect
70. #15689435	C₂²	semidirect
71. #15689425	C₂²	semidirect
72. #15689421	C₂²	semidirect
73. #15689411	C₂²	semidirect
74. #15689401	C₂²	semidirect
75. #15689381	C₂²	semidirect
76. #15689381	C₂²	semidirect
77. #15689376	C₂²	semidirect
78. #15689376	C₂²	semidirect
79. #15689375	C₂²	semidirect
80. #15689369	C₂²	semidirect
81. #15689369	C₂²	semidirect
82. #15689369	C₂²	semidirect
83. #15689369	C₂²	semidirect
84. #15689368	C₂²	semidirect
85. #15689358	C₂²	semidirect
86. #15689351	C₂²	semidirect
87. #15689344	C₂²	semidirect
88. #15689337	C₂²	semidirect
89. #15689322	C₂²	semidirect
90. #15689317	C₂²	semidirect
91. #15689286	C₂²	semidirect
92. #15689275	C₂²	semidirect
93. #15689274	C₂²	semidirect
94. #15689274	C₂²	semidirect
95. #15689269	C₂²	semidirect
96. #15689258	C₂²	semidirect
97. #15689257	C₂²	semidirect
98. #15689257	C₂²	semidirect
99. #15689232	C₂²	semidirect
100. #15689220	C₂²	semidirect
101. #15689214	C₂²	semidirect
102. #15689203	C₂²	semidirect
103. #15689199	C₂²	semidirect
104. #15689199	C₂²	semidirect
105. #15689192	C₂²	semidirect
106. #15689192	C₂²	semidirect
107. #15689163	C₂²	semidirect
108. #15689163	C₂²	semidirect
109. #15689161	C₂²	semidirect
110. #15689149	C₂²	semidirect
112. #15689128	C₂²	semidirect
113. #15689126	C₂²	semidirect
114. #15689122	C₂²	semidirect
115. #15689122	C₂²	semidirect
116. #15689121	C₂²	semidirect
117. #15689120	C₂²	semidirect
118. #15689120	C₂²	semidirect
119. #15689116	C₂²	semidirect
120. #102×D₄₇	C₂²	semidirect
121. #15689089	C₂²	semidirect
122. #15689087	C₂²	semidirect
123. #15689078	C₂²	semidirect
125. C₂²×M₁₆×C₄₇	C₂²	semidirect
126. C₂×#117×C₄₇	C₂²	semidirect
127. C₄₇×#418	C₂²	semidirect
128. C₄₇×#418	C₂²	semidirect
129. C₄₇×#418	C₂²	semidirect
130. C₄₇×#418	C₂²	semidirect
133. C₂×#102×C₄₇	C₂²	semidirect
134. C₂×#102×C₄₇	C₂²	semidirect
150. C₂×Dic₁₈₈	C₂³	semidirect
151. C₂×#10625325	C₂³	semidirect
152. C₂×#10625325	C₂³	semidirect
155. C₂×D₃₇₆	C₂³	semidirect
161. C₂×#10625324	C₂³	semidirect
162. C₂×C₈×D₄₇	C₂³	semidirect
164. #13094023	C₂³	semidirect
173. #13094015	C₂³	semidirect
187. #13094004	C₂³	semidirect
196. #13093999	C₂³	semidirect
227. #13093989	C₂³	semidirect
234. #13093986	C₂³	semidirect
247. #13093982	C₂³	semidirect
251. C₄⋊C₄×D₄₇	C₂³	semidirect
255. #13093958	C₂³	semidirect
256. #13093958	C₂³	semidirect
257. #13093957	C₂³	semidirect
258. #13093957	C₂³	semidirect
259. #13093956	C₂³	semidirect
260. #13093956	C₂³	semidirect
261. #13093955	C₂³	semidirect
262. #13093955	C₂³	semidirect
263. Dic₄₇⋊C₈	C₂³	semidirect
264. Dic₄₇⋊C₈	C₂³	semidirect
265. #13093949	C₂³	semidirect
266. #13093949	C₂³	semidirect
267. #13093949	C₂³	semidirect
268. #13093949	C₂³	semidirect
269. #13093947	C₂³	semidirect
270. #13093947	C₂³	semidirect
271. #13093946	C₂³	semidirect
272. #13093946	C₂³	semidirect
273. #13093946	C₂³	semidirect
274. #13093946	C₂³	semidirect
279. #13093944	C₂³	semidirect
280. #13093944	C₂³	semidirect
283. (C₂×D₄₇)⋊C₈	C₂³	semidirect
284. (C₂×D₄₇)⋊C₈	C₂³	semidirect
285. #13093934	C₂³	semidirect
286. C₈×Dic₄₇	C₂³	semidirect
656. C₂×#418	D₄₇	semidirect
674. C₂²×M₁₆	C₂×D₄₇	semidirect
705. C₂×#117	C₂×D₄₇	semidirect
761. #418	C₂×D₄₇	semidirect
762. #418	C₂×D₄₇	semidirect
763. #418	C₂×D₄₇	semidirect
764. #418	C₂×D₄₇	semidirect
774. C₂×#102	C₂×D₄₇	semidirect
775. C₂×#102	C₂×D₄₇	semidirect
779. C₄₇	#61175	semidirect

Maximal subgroups

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

subgroup	index
#20257108	2
#20257023	2
#20255626	2
#20255615	2
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#20255585	2
#20255545	2
#20255530	2
#20255425	2
#20255410	2
#20253740	2
#20253342	2
#20253319	2
#20253215	2
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#20252997	2
#20252932	2
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#20252615	2
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#20252091	2
#20251909	2
C₂×C₄₇×#418	2
#61175	47