Subgroups — #26204172

Order 12032.

720 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254509	C₂	1	1	yes	maximal, characteristic
2	#20254336	C₂	1	1	yes	maximal, characteristic, complemented
3	#20253947	C₂	1	1	yes	maximal, characteristic
4	#20253784	C₂	1	1	yes	maximal, characteristic
5	#20253768	C₂	1	1	yes	maximal, characteristic, complemented
6	#20243046	C₂	1	2	yes	maximal, complemented
7	#20243032	C₂	1	2	yes	maximal, complemented
8	#20242990	C₂	1	2	yes	maximal, complemented
9	#20242983	C₂	1	2	yes	maximal, complemented
10	C₈×#10625329	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₄₇×#498	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689680	C₂²	1	1	yes	characteristic
13	#15689673	C₂²	1	1	yes	characteristic
14	#15689526	C₂²	1	2	yes	—
15	#15689521	C₂²	1	1	yes	characteristic
16	#15689502	C₂²	1	2	yes	—
17	#15689496	C₂²	1	1	yes	characteristic
18	#15689491	—	2	2	no	—
19	#15689485	—	2	2	no	—
20	#15689475	C₂²	1	2	yes	—
21	#15689474	C₂²	1	1	yes	characteristic
22	#15689473	C₂²	1	2	yes	—
23	#15689473	C₂²	1	2	yes	—
24	#15689473	C₂²	1	2	yes	—
25	#15689471	C₂²	1	2	yes	—
26	#15689471	C₂²	1	2	yes	—
27	#15689470	C₂²	1	1	yes	characteristic
28	#15689436	—	2	2	no	—
29	#15689400	—	2	2	no	—
30	#15689352	—	2	2	no	—
31	#15689330	—	2	2	no	—
32	#15689279	—	2	2	no	—
33	C₄×#10625325	—	2	2	no	—
34	#15689176	C₂²	1	1	yes	characteristic
35	#15689132	—	2	2	no	—
36	#15689122	—	2	2	no	—
37	C₄×#10625329	C₂²	1	1	yes	characteristic
38	#15688845	C₂²	1	2	yes	—
39	C₈×C₄₇⋊C₈	C₂²	1	2	yes	—
40	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
42	C₄₇×#498	—	2	2	no	—
43	C₄₇×#498	C₂²	1	2	yes	—
44	C₄₇×#498	C₂²	1	2	yes	—
45	C₂×#106×C₄₇	—	2	2	no	—
46	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
47	C₂×#10625350	—	2	1	no	—
48	C₂×#10625337	—	2	4	no	—
49	C₂×#10625325	—	2	2	no	—
50	C₂×#10625329	D₄	1	2	yes	—
51	#13094024	C₂³	1	1	yes	characteristic
52	#13094024	C₂³	1	1	yes	characteristic
53	#13094024	C₂³	1	1	yes	characteristic
54	#13094021	C₂³	1	1	yes	characteristic
55	#13094016	—	2	1	no	—
56	#13094012	—	2	1	no	—
57	#13094003	—	2	1	no	—
58	#13094003	—	2	1	no	—
59	#13093998	—	2	1	no	—
60	#13093998	—	2	1	no	—
61	C₄×Dic₉₄	—	2	1	no	—
62	C₄×Dic₉₄	—	2	1	no	—
63	C₄×D₁₈₈	—	2	1	no	—
64	C₄×D₁₈₈	—	2	1	no	—
65	#13093983	—	2	1	no	—
66	#13093957	—	2	4	no	—
67	#13093956	—	2	2	no	—
68	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
69	#13093949	—	2	2	no	—
70	#13093948	—	2	4	no	—
71	#13093948	—	2	4	no	—
72	#13093948	—	2	4	no	—
73	#13093947	—	2	4	no	—
74	#13093946	—	2	2	no	—
75	#13093944	—	2	4	no	—
76	#13093944	—	2	4	no	—
77	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
78	#13093935	D₄	1	2	yes	—
79	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
80	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
81	C₂²×Q₈×C₄₇	—	2	1	no	—
82	C₂²×Q₈×C₄₇	—	2	1	no	—
83	C₂²×C₈×C₄₇	D₄	1	2	yes	—
84	C₄⋊Q₈×C₄₇	—	2	1	no	—
85	C₄⋊Q₈×C₄₇	—	2	1	no	—
86	C₄⋊Q₈×C₄₇	—	2	1	no	—
87	C₄⋊Q₈×C₄₇	—	2	1	no	—
88	C₄⋊Q₈×C₄₇	—	2	1	no	—
89	C₄⋊Q₈×C₄₇	—	2	1	no	—
90	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	—
91	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	—
92	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
93	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
94	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
95	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
96	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
97	#106×C₄₇	—	2	4	no	—
98	#106×C₄₇	—	2	4	no	—
99	C₄×C₈×C₄₇	D₄	1	2	yes	—
100	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
102	C₂×Q₈×C₄₇	—	2	2	no	—
103	C₂×Q₈×C₄₇	—	2	2	no	—
104	C₂×Q₈×C₄₇	—	4	1	no	—
105	C₂×Q₈×C₄₇	—	4	1	no	—
106	C₂×Q₈×C₄₇	—	4	4	no	—
107	C₂×Q₈×C₄₇	—	8	2	no	—
108	C₂²×C₄×C₄₇	—	4	1	no	—
109	C₂²×C₄×C₄₇	—	4	1	no	—
110	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
111	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
113	C₂×C₂²⋊D₄₇	—	4	1	no	—
114	#10625350	—	4	4	no	—
115	C₂×D₁₈₈	—	2	1	no	—
116	C₂×D₁₈₈	—	2	1	no	—
117	C₂×D₁₈₈	—	2	1	no	—
118	C₂×C₄×D₄₇	—	4	1	no	—
119	C₂×Dic₉₄	—	2	1	no	—
120	C₂×Dic₉₄	—	2	1	no	—
121	C₂×Dic₉₄	—	2	1	no	—
122	C₂×C₈×C₄₇	—	2	4	no	—
123	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
124	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
125	C₄⋊C₄×C₄₇	—	2	2	no	—
126	C₄⋊C₄×C₄₇	—	2	2	no	—
127	C₄⋊C₄×C₄₇	—	2	2	no	—
128	C₄⋊C₄×C₄₇	—	2	2	no	—
129	C₄⋊C₄×C₄₇	—	4	1	no	—
130	C₄⋊C₄×C₄₇	—	4	1	no	—
131	C₄⋊C₄×C₄₇	—	4	1	no	—
132	C₄⋊C₄×C₄₇	—	4	1	no	—
133	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
135	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
136	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
137	C₂²⋊Dic₄₇	—	4	1	no	—
138	#10625337	—	8	4	no	—
139	(C₂×D₄₇)⋊C₄	—	4	1	no	—
140	(C₂×D₄₇)⋊C₄	—	4	1	no	—
141	C₄⋊Dic₄₇	—	2	1	no	—
142	C₄⋊Dic₄₇	—	2	1	no	—
143	C₄⋊Dic₄₇	—	2	1	no	—
144	C₄⋊Dic₄₇	—	2	1	no	—
145	C₄⋊Dic₄₇	—	2	1	no	—
146	C₄⋊Dic₄₇	—	2	1	no	—
147	Dic₄₇⋊C₄	—	4	1	no	—
148	Dic₄₇⋊C₄	—	4	1	no	—
149	C₄×Dic₄₇	—	4	1	no	—
150	#10625329	—	2	4	no	—
151	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
152	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
153	#10625325	—	4	4	no	—
154	C₂³×C₄₇	#127	1	1	yes	characteristic
155	C₂²×D₄₇	—	4	1	no	—
156	Q₈×C₄₇	—	4	4	no	—
157	Q₈×C₄₇	—	4	4	no	—
158	Q₈×C₄₇	—	8	2	no	—
159	Q₈×C₄₇	—	8	2	no	—
160	C₂×C₄×C₄₇	—	2	2	no	—
161	C₂×C₄×C₄₇	—	2	2	no	—
162	C₂×C₄×C₄₇	—	4	2	no	—
163	C₂×C₄×C₄₇	—	4	2	no	—
164	C₂×C₄×C₄₇	—	8	2	no	—
165	C₂×C₄×C₄₇	—	8	2	no	—
166	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
167	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
168	C₂×C₄×C₄₇	#127	1	1	yes	characteristic
169	C₂×C₄×C₄₇	#135	1	4	yes	—
170	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
173	C₂²⋊D₄₇	—	8	2	no	—
174	C₂×Dic₄₇	—	4	1	no	—
175	C₂×Dic₄₇	—	4	1	no	—
176	C₂×Dic₄₇	—	4	1	no	—
177	D₁₈₈	—	4	2	no	—
178	D₁₈₈	—	4	2	no	—
179	D₁₈₈	—	4	2	no	—
180	C₄×D₄₇	—	8	2	no	—
181	Dic₉₄	—	4	2	no	—
182	Dic₉₄	—	4	2	no	—
183	Dic₉₄	—	4	2	no	—
184	C₈×C₄₇	—	2	2	no	—
185	C₈×C₄₇	#137	1	4	yes	—
186	C₄₇⋊C₈	—	2	4	no	—
187	C₄₇⋊C₈	—	2	4	no	—
188	#19626	—	47	1	no	maximal, Sylow
189	C₂²×C₄₇	—	2	1	no	—
190	C₂²×C₄₇	—	2	1	no	—
191	C₂²×C₄₇	#495	1	2	yes	—
192	C₂²×C₄₇	C₂×#127	1	1	yes	characteristic
193	C₂×D₄₇	—	8	1	no	—
194	C₂×D₄₇	—	8	1	no	—
195	C₂×D₄₇	—	8	1	no	—
196	C₄×C₄₇	—	2	1	no	—
197	C₄×C₄₇	—	2	1	no	—
198	C₄×C₄₇	—	8	2	no	—
199	C₄×C₄₇	—	8	2	no	—
200	C₄×C₄₇	#495	1	2	yes	—
201	C₄×C₄₇	C₂×#135	1	2	yes	—
202	C₄×C₄₇	C₂×#137	1	2	yes	—
203	C₄×C₄₇	#577	1	2	yes	—
204	Dic₄₇	—	8	1	no	—
205	Dic₄₇	—	8	1	no	—
206	Dic₄₇	—	8	1	no	—
207	#3226	—	47	1	no	—
208	#3209	—	47	1	no	—
209	#3167	—	47	1	no	—
210	C₂×#498	D₄₇	1	1	yes	characteristic, complemented
211	#3141	—	47	1	no	—
212	#3139	—	47	1	no	—
213	#1720	—	47	2	no	—
214	#1718	—	47	2	no	—
215	#1708	—	47	2	no	—
216	#1707	—	47	2	no	—
217	C₈×M₁₆	—	47	1	no	—
218	C₂×C₄₇	—	2	2	no	—
219	C₂×C₄₇	C₂×#495	1	1	yes	characteristic
220	C₂×C₄₇	#3152	1	1	yes	characteristic
221	C₂×C₄₇	#3154	1	1	yes	characteristic
222	D₄₇	—	16	1	no	—
223	#533	—	47	1	no	—
224	#532	—	47	1	no	—
225	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
226	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
227	#500	—	47	2	no	—
228	#498	—	2	2	no	—
229	#498	—	47	1	no	—
230	#498	C₂×D₄₇	1	2	yes	—
231	#498	C₂×D₄₇	1	2	yes	—
232	#494	—	47	2	no	—
233	#492	—	47	1	no	—
234	#491	—	94	2	no	—
235	#489	—	94	2	no	—
236	#487	—	47	2	no	—
237	#487	—	47	2	no	—
238	#487	—	47	2	no	—
239	#487	—	47	2	no	—
240	#487	—	47	1	no	—
241	#486	—	47	2	no	—
242	#486	—	47	2	no	—
243	#486	—	47	1	no	—
244	#480	—	94	2	no	—
245	#474	—	94	2	no	—
246	#465	—	94	2	no	—
247	#462	—	94	2	no	—
248	#451	—	94	2	no	—
249	C₄×SD₁₆	—	94	2	no	—
250	#431	—	47	1	no	—
251	C₂×#106	—	2	2	no	—
252	#419	—	94	2	no	—
253	#417	—	94	2	no	—
254	C₄×M₁₆	—	47	1	no	—
255	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
256	#322	—	47	2	no	—
257	C₈²	—	47	2	no	—
258	C₄₇	#19626	1	1	yes	characteristic, complemented, Sylow
259	C₂×#41	—	94	1	no	—
260	C₂²×Q₈	—	2	1	no	—
261	C₂²×Q₈	—	2	1	no	—
262	C₂×Q₁₆	—	94	4	no	—
263	C₂×SD₁₆	—	94	2	no	—
264	C₂×M₁₆	—	47	2	no	—
265	C₂²×C₈	C₂²⋊D₄₇	1	2	yes	—
266	C₄⋊Q₈	—	2	1	no	—
267	C₄⋊Q₈	—	2	1	no	—
268	C₄⋊Q₈	—	2	1	no	—
269	C₄⋊Q₈	—	2	1	no	—
270	C₄⋊Q₈	—	2	1	no	—
271	C₄⋊Q₈	—	2	1	no	—
272	C₄⋊Q₈	—	47	1	no	—
273	C₄⋊Q₈	—	47	1	no	—
274	C₄⋊Q₈	—	47	1	no	—
275	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	—
276	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	—
277	#127	—	47	1	no	—
278	#125	—	94	1	no	—
279	#124	—	94	1	no	—
280	C₂²⋊Q₈	—	94	1	no	—
281	C₂²⋊Q₈	—	94	1	no	—
282	#121	—	94	1	no	—
283	#121	—	94	1	no	—
284	C₄×Q₈	—	94	1	no	—
285	C₄×Q₈	—	94	1	no	—
286	C₄×D₄	—	94	1	no	—
287	C₄×D₄	—	94	1	no	—
288	#117	—	94	1	no	—
289	C₂×C₄⋊C₄	—	2	1	no	—
290	C₂×C₄⋊C₄	—	2	1	no	—
291	C₂×C₄⋊C₄	—	2	1	no	—
292	C₂×C₄⋊C₄	—	2	1	no	—
293	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
294	#107	—	94	4	no	—
295	#106	—	2	4	no	—
296	#106	—	2	4	no	—
297	#106	—	94	2	no	—
298	C₄⋊C₈	—	47	2	no	—
299	#103	—	94	4	no	—
300	#103	—	94	4	no	—
301	#103	—	94	4	no	—
302	#103	—	94	4	no	—
303	#103	—	94	2	no	—
304	#102	—	94	4	no	—
305	#102	—	94	4	no	—
306	#102	—	94	2	no	—
307	C₂²⋊C₈	—	47	2	no	—
308	#97	—	47	2	no	—
309	C₄×C₈	—	47	2	no	—
310	C₄×C₈	—	47	2	no	—
311	C₄×C₈	C₂²⋊D₄₇	1	2	yes	—
312	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
313	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
314	#41	—	188	4	no	—
315	C₂×Q₈	—	2	2	no	—
316	C₂×Q₈	—	2	2	no	—
317	C₂×Q₈	—	4	1	no	—
318	C₂×Q₈	—	4	1	no	—
319	C₂×Q₈	—	4	4	no	—
320	C₂×Q₈	—	8	2	no	—
321	C₂×Q₈	—	94	1	no	—
322	C₂×Q₈	—	94	1	no	—
323	C₂×Q₈	—	94	1	no	—
324	C₂×D₄	—	94	1	no	—
325	C₂×D₄	—	94	1	no	—
326	C₂×D₄	—	94	1	no	—
327	C₂×D₄	—	188	1	no	—
328	C₂²×C₄	—	4	1	no	—
329	C₂²×C₄	—	4	1	no	—
330	C₂²×C₄	—	188	1	no	—
331	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
332	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
333	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
334	Q₁₆	—	376	4	no	—
335	SD₁₆	—	188	4	no	—
336	M₁₆	—	94	4	no	—
337	C₂×C₈	—	2	4	no	—
338	C₂×C₈	—	47	4	no	—
339	C₂×C₈	—	47	4	no	—
340	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
341	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
342	C₄⋊C₄	—	2	2	no	—
343	C₄⋊C₄	—	2	2	no	—
344	C₄⋊C₄	—	2	2	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	4	1	no	—
347	C₄⋊C₄	—	4	1	no	—
348	C₄⋊C₄	—	4	1	no	—
349	C₄⋊C₄	—	4	1	no	—
350	C₄⋊C₄	—	94	1	no	—
351	C₄⋊C₄	—	94	1	no	—
352	C₄⋊C₄	—	94	1	no	—
353	C₄⋊C₄	—	94	1	no	—
354	C₄⋊C₄	—	94	1	no	—
355	C₄⋊C₄	—	94	1	no	—
356	C₄⋊C₄	—	188	1	no	—
357	C₄⋊C₄	—	188	1	no	—
358	C₂²⋊C₄	—	188	1	no	—
359	C₂²⋊C₄	—	188	1	no	—
360	C₂²⋊C₄	—	188	1	no	—
361	C₄²	—	188	1	no	—
362	C₄²	D₄×D₄₇	1	1	yes	characteristic
363	C₄²	D₄×D₄₇	1	1	yes	characteristic
364	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
365	C₄²	C₂³×D₄₇	1	1	yes	characteristic
366	C₂³	—	188	1	no	—
367	C₂³	#13094020	1	1	yes	characteristic
368	Q₈	—	4	4	no	—
369	Q₈	—	4	4	no	—
370	Q₈	—	8	2	no	—
371	Q₈	—	8	2	no	—
372	Q₈	—	188	2	no	—
373	Q₈	—	188	2	no	—
374	Q₈	—	188	2	no	—
375	D₄	—	376	2	no	—
376	D₄	—	188	2	no	—
377	D₄	—	188	2	no	—
378	D₄	—	188	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	4	2	no	—
382	C₂×C₄	—	4	2	no	—
383	C₂×C₄	—	8	2	no	—
384	C₂×C₄	—	8	2	no	—
385	C₂×C₄	—	376	2	no	—
386	C₂×C₄	—	188	1	no	—
387	C₂×C₄	—	188	1	no	—
388	C₂×C₄	—	188	1	no	—
389	C₂×C₄	#13094020	1	1	yes	characteristic
390	C₂×C₄	#13094020	1	1	yes	characteristic
391	C₂×C₄	#13094020	1	1	yes	characteristic
392	C₂×C₄	#13094045	1	4	yes	—
393	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
394	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
395	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
396	C₈	—	2	2	no	—
397	C₈	—	94	4	no	—
398	C₈	—	94	4	no	—
399	C₈	#13094055	1	4	yes	—
400	C₂²	—	2	1	no	—
401	C₂²	—	2	1	no	—
402	C₂²	—	376	1	no	—
403	C₂²	—	376	1	no	—
404	C₂²	—	376	1	no	—
405	C₂²	#15689504	1	2	yes	—
406	C₂²	C₂×#13094020	1	1	yes	characteristic
407	C₄	—	2	1	no	—
408	C₄	—	2	1	no	—
409	C₄	—	8	2	no	—
410	C₄	—	8	2	no	—
411	C₄	—	376	1	no	—
412	C₄	—	376	1	no	—
413	C₄	—	376	1	no	—
414	C₄	#15689504	1	2	yes	—
415	C₄	C₂×#13094045	1	2	yes	—
416	C₄	C₂×#13094055	1	2	yes	—
417	C₄	#15689929	1	2	yes	—
418	C₂	—	2	2	no	—
419	C₂	—	752	1	no	—
420	C₂	C₂×#15689504	1	1	yes	characteristic
421	C₂	#20253845	1	1	yes	characteristic
422	C₂	#20253858	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13094020
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₂×C₄₇×#498	C₂
socle	C₂²×C₄₇	C₂×#127
prime radical	#15689673	C₂²
hypercenter	C₂×#498	D₄₇
hypocenter	C₄₇	#19626
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#498

Complements

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

N	H ≅ G/N	type
2. #20254336	C₂	semidirect
5. #20253768	C₂	semidirect
6. #20243046	C₂	semidirect
7. #20243032	C₂	semidirect
8. #20242990	C₂	semidirect
9. #20242983	C₂	semidirect
10. C₈×#10625329	C₂	semidirect
11. C₂×C₄₇×#498	C₂	semidirect
210. C₂×#498	D₄₇	semidirect
258. C₄₇	#19626	semidirect

Maximal subgroups

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

subgroup	index
#20254509	2
#20254336	2
#20253947	2
#20253784	2
#20253768	2
#20243046	2
#20243032	2
#20242990	2
#20242983	2
C₈×#10625329	2
C₂×C₄₇×#498	2
#19626	47