Subgroups — #26373054

Order 12032.

652 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20256532	C₂	1	2	yes	maximal, complemented
2	#20255188	C₂	1	1	yes	maximal, characteristic, complemented
3	#20245645	C₂	1	1	yes	maximal, characteristic, complemented
4	#20245520	C₂	1	2	yes	maximal, complemented
5	#20245466	C₂	1	1	yes	maximal, characteristic, complemented
6	#20245464	C₂	1	1	yes	maximal, characteristic, complemented
7	#20245357	C₂	1	2	yes	maximal, complemented
8	#20245352	C₂	1	2	yes	maximal, complemented
9	#20245267	C₂	1	1	yes	maximal, characteristic, complemented
10	#20245225	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3293	C₂	1	1	yes	maximal, characteristic, complemented
12	#15689928	C₂²	1	2	yes	—
13	#15689925	—	2	1	no	—
14	#15689564	—	2	2	no	—
15	#15689564	C₂²	1	2	yes	—
16	#15689558	—	2	2	no	—
17	#15689558	C₂²	1	2	yes	complemented
18	#15689553	—	2	2	no	—
19	#15689553	C₂²	1	1	yes	characteristic
20	C₂×#13093967	—	2	2	no	—
21	C₂×#13093967	C₂²	1	2	yes	complemented
22	C₂×#13093967	C₂²	1	2	yes	complemented
23	#15689540	C₂²	1	2	yes	complemented
24	#15689500	C₂²	1	1	yes	characteristic
25	#15689394	—	2	1	no	—
26	#15689393	C₂²	1	2	yes	—
27	#15689292	—	2	2	no	—
28	#15689241	C₂²	1	1	yes	characteristic
29	#15688952	C₂²	1	1	yes	characteristic, complemented
30	#15688944	C₂²	1	1	yes	characteristic, complemented
31	#15688939	C₂²	1	2	yes	complemented
32	#15688935	C₂²	1	2	yes	complemented
33	#15688930	C₂²	1	1	yes	characteristic, complemented
34	#15688929	C₂²	1	1	yes	characteristic
35	#15688907	C₂²	1	2	yes	complemented
36	C₄×C₄₇⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
37	C₄₇×#578	—	2	1	no	—
38	C₄₇×#578	C₂²	1	2	yes	complemented
39	C₄₇×#494	C₂²	1	1	yes	characteristic, complemented
40	C₄₇×#473	—	2	1	no	—
41	C₄₇×#473	C₂²	1	2	yes	complemented
42	C₄₇×#456	—	2	2	no	—
43	C₄₇×#443	C₂²	1	1	yes	characteristic
44	C₄₇×#443	C₂²	1	1	yes	characteristic, complemented
45	#13094070	—	2	2	no	—
46	#13094052	—	2	2	no	—
47	#13094052	—	4	2	no	—
48	#13094051	—	4	2	no	—
49	#13094049	—	2	2	no	—
50	#13094047	—	4	1	no	—
51	#13094046	—	2	2	no	—
52	#13094046	C₂³	1	1	yes	characteristic
53	C₂×D₃₇₆	—	2	2	no	—
54	C₂×D₃₇₆	—	2	1	no	—
55	C₂×D₃₇₆	C₂³	1	2	yes	—
56	D₈×D₄₇	—	4	1	no	—
57	#13094030	—	2	1	no	—
58	#13094021	—	2	1	no	—
59	#13093970	—	2	2	no	—
60	#13093970	D₄	1	1	yes	characteristic, complemented
61	#13093968	D₄	1	1	yes	characteristic, complemented
62	#13093967	—	2	2	no	—
63	#13093967	—	2	2	no	—
64	#13093967	—	2	2	no	—
65	#13093967	—	2	2	no	—
66	#13093967	—	4	2	no	—
67	#13093967	D₄	1	1	yes	characteristic, complemented
68	#13093965	—	2	2	no	—
69	#13093965	D₄	1	1	yes	characteristic, complemented
70	#13093964	—	2	2	no	—
71	#13093964	C₂³	1	2	yes	—
72	C₂×C₄₇⋊C₁₆	—	2	2	no	—
73	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
74	C₂×C₄₇⋊C₁₆	C₂³	1	1	yes	characteristic
75	#13093960	C₂³	1	1	yes	characteristic
76	#13093952	—	2	1	no	—
77	#13093940	—	2	2	no	—
78	2₋¹⁺⁴×C₄₇	—	2	2	no	—
79	#137×C₄₇	—	2	2	no	—
80	#137×C₄₇	—	2	2	no	—
81	#137×C₄₇	—	4	2	no	—
82	#137×C₄₇	—	4	2	no	—
83	#135×C₄₇	—	2	2	no	—
84	#135×C₄₇	—	4	1	no	—
85	#135×C₄₇	D₄	1	1	yes	characteristic
86	#135×C₄₇	C₂³	1	1	yes	characteristic
87	C₂×Q₁₆×C₄₇	—	2	2	no	—
88	C₂×Q₁₆×C₄₇	—	2	1	no	—
89	C₂×Q₁₆×C₄₇	—	4	1	no	—
90	C₂×Q₁₆×C₄₇	C₂³	1	2	yes	—
91	#131×C₄₇	—	2	1	no	—
92	#131×C₄₇	C₂³	1	2	yes	—
93	C₄⋊Q₈×C₄₇	—	2	1	no	—
94	#108×C₄₇	D₄	1	1	yes	characteristic
95	#108×C₄₇	C₂³	1	1	yes	characteristic
96	#104×C₄₇	—	2	1	no	—
97	#104×C₄₇	D₄	1	2	yes	—
98	#101×C₄₇	—	2	2	no	—
99	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
100	#41×C₄₇	—	2	1	no	—
101	#41×C₄₇	—	4	2	no	—
102	#41×C₄₇	—	4	2	no	—
103	#41×C₄₇	—	8	2	no	—
104	#41×C₄₇	C₂×D₄	1	2	yes	—
105	C₂×Q₈×C₄₇	—	2	2	no	—
106	C₂×Q₈×C₄₇	—	4	2	no	—
107	C₂×Q₈×C₄₇	—	4	2	no	—
108	#10625354	—	4	2	no	—
109	D₄×D₄₇	—	4	2	no	—
110	D₄×D₄₇	—	8	2	no	—
111	#10625350	—	2	1	no	—
112	#10625350	—	4	2	no	—
113	C₂×D₁₈₈	—	2	2	no	—
114	C₂×D₁₈₈	—	4	2	no	—
115	C₂×D₁₈₈	—	8	1	no	—
116	Q₁₆×C₄₇	—	2	2	no	—
117	Q₁₆×C₄₇	—	2	2	no	—
118	Q₁₆×C₄₇	—	4	2	no	—
119	Q₁₆×C₄₇	—	4	2	no	—
120	Q₁₆×C₄₇	—	4	1	no	—
121	Q₁₆×C₄₇	—	4	1	no	—
122	Q₁₆×C₄₇	D₈	1	1	yes	characteristic
123	Q₁₆×C₄₇	C₂×D₄	1	1	yes	characteristic
124	SD₁₆×C₄₇	—	2	1	no	—
125	SD₁₆×C₄₇	—	4	2	no	—
126	SD₁₆×C₄₇	—	4	2	no	—
127	SD₁₆×C₄₇	D₈	1	2	yes	—
128	D₈×C₄₇	D₈	1	1	yes	characteristic
129	D₈×C₄₇	C₂×D₄	1	1	yes	characteristic
130	M₁₆×C₄₇	—	2	2	no	—
131	M₁₆×C₄₇	—	2	1	no	—
132	M₁₆×C₄₇	—	4	1	no	—
133	M₁₆×C₄₇	C₂×D₄	1	2	yes	—
134	C₂×C₈×C₄₇	—	2	2	no	—
135	C₂×C₈×C₄₇	—	4	1	no	—
136	C₂×C₈×C₄₇	C₂×D₄	1	1	yes	characteristic
137	C₂×C₈×C₄₇	C₂⁴	1	1	yes	characteristic
138	C₄⋊C₄×C₄₇	—	8	1	no	—
139	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
140	#10625336	—	4	2	no	—
141	#10625334	—	4	2	no	—
142	#10625329	—	2	1	no	—
143	Dic₁₈₈	C₂×D₄	1	1	yes	characteristic
144	D₃₇₆	—	2	2	no	—
145	D₃₇₆	—	2	2	no	—
146	D₃₇₆	—	4	2	no	—
147	D₃₇₆	—	4	1	no	—
148	D₃₇₆	—	4	1	no	—
149	D₃₇₆	C₂×D₄	1	1	yes	characteristic
150	#10625325	—	2	1	no	—
151	#10625325	—	4	2	no	—
152	#10625324	—	4	1	no	—
153	C₈×D₄₇	—	4	1	no	—
154	C₄₇⋊C₁₆	—	2	2	no	—
155	C₄₇⋊C₁₆	—	2	1	no	—
156	C₄₇⋊C₁₆	C₂×D₄	1	1	yes	characteristic
157	C₄₇⋊C₁₆	C₂×D₄	1	1	yes	characteristic
158	C₂²×D₄₇	—	4	2	no	—
159	C₂²×D₄₇	—	8	2	no	—
160	Q₈×C₄₇	—	2	1	no	—
161	Q₈×C₄₇	—	4	2	no	—
162	Q₈×C₄₇	—	4	2	no	—
163	Q₈×C₄₇	—	8	2	no	—
164	Q₈×C₄₇	C₂×D₈	1	2	yes	—
165	D₄×C₄₇	—	2	2	no	—
166	D₄×C₄₇	—	2	1	no	—
167	D₄×C₄₇	—	4	1	no	—
168	D₄×C₄₇	—	8	2	no	—
169	D₄×C₄₇	C₂×D₈	1	2	yes	—
170	C₂×C₄×C₄₇	—	2	1	no	—
171	C₂×C₄×C₄₇	—	2	2	no	—
172	C₂×C₄×C₄₇	—	4	1	no	—
173	C₂×C₄×C₄₇	—	4	2	no	—
174	C₂×C₄×C₄₇	—	8	2	no	—
175	C₂×C₄×C₄₇	—	8	2	no	—
176	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
177	C₂²⋊D₄₇	—	4	1	no	—
178	C₂²⋊D₄₇	—	8	2	no	—
179	D₁₈₈	—	2	1	no	—
180	D₁₈₈	—	4	2	no	—
181	D₁₈₈	—	4	2	no	—
182	D₁₈₈	—	8	2	no	—
183	D₁₈₈	—	16	2	no	—
184	C₄×D₄₇	—	4	1	no	—
185	C₄×D₄₇	—	8	2	no	—
186	Dic₉₄	—	2	1	no	—
187	C₈×C₄₇	—	2	2	no	—
188	C₈×C₄₇	—	4	1	no	—
189	C₈×C₄₇	C₂×D₈	1	1	yes	characteristic
190	C₈×C₄₇	C₂×D₈	1	1	yes	characteristic
191	C₈×C₄₇	C₂²×D₄	1	1	yes	characteristic
192	C₈×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
193	C₄₇⋊C₈	—	4	1	no	—
194	#33856	—	47	1	no	maximal, Sylow
195	C₂²×C₄₇	—	2	2	no	—
196	C₂²×C₄₇	—	4	1	no	—
197	C₂²×C₄₇	#576	1	1	yes	characteristic
198	C₂×D₄₇	—	4	1	no	—
199	C₂×D₄₇	—	8	2	no	—
200	C₂×D₄₇	—	16	2	no	—
201	C₂×D₄₇	—	32	2	no	—
202	C₄×C₄₇	—	2	2	no	—
203	C₄×C₄₇	—	2	2	no	—
204	C₄×C₄₇	—	4	1	no	—
205	C₄×C₄₇	—	8	2	no	—
206	C₄×C₄₇	D₄²	1	1	yes	characteristic
207	C₄×C₄₇	C₂²×D₈	1	1	yes	characteristic
208	Dic₄₇	—	4	1	no	—
209	#3416	—	47	2	no	—
210	#3293	D₄₇	1	1	yes	characteristic, complemented
211	#3292	—	47	1	no	—
212	#2248	—	47	1	no	—
213	#2223	—	47	2	no	—
214	#2214	—	47	1	no	—
215	#2213	—	47	1	no	—
216	#2194	—	47	2	no	—
217	#2193	—	47	2	no	—
218	#2178	—	47	1	no	—
219	#2170	—	47	1	no	—
220	C₂×C₄₇	—	2	1	no	—
221	C₂×C₄₇	—	4	2	no	—
222	C₂×C₄₇	—	8	1	no	—
223	C₂×C₄₇	D₄×D₈	1	1	yes	characteristic
224	D₄₇	—	8	1	no	—
225	D₄₇	—	16	2	no	—
226	#578	—	2	1	no	—
227	#578	C₂×D₄₇	1	2	yes	complemented
228	#576	—	47	2	no	—
229	#576	—	94	1	no	—
230	#510	—	47	2	no	—
231	#510	—	94	2	no	—
232	#509	—	47	2	no	—
233	#509	—	94	2	no	—
234	#508	—	47	1	no	—
235	#508	—	94	2	no	—
236	C₂×SD₃₂	—	47	2	no	—
237	C₂×SD₃₂	—	47	2	no	—
238	C₂×SD₃₂	—	94	2	no	—
239	#504	—	47	2	no	—
240	#494	C₂×D₄₇	1	1	yes	characteristic, complemented
241	#493	—	47	1	no	—
242	#473	—	2	1	no	—
243	#473	C₂×D₄₇	1	2	yes	complemented
244	#472	—	47	2	no	—
245	#472	—	94	1	no	—
246	#456	—	2	2	no	—
247	#453	—	94	2	no	—
248	#443	—	47	1	no	—
249	#443	C₂×D₄₇	1	1	yes	characteristic
250	#443	C₂×D₄₇	1	1	yes	characteristic, complemented
251	#368	—	47	1	no	—
252	#364	—	47	1	no	—
253	#362	—	47	2	no	—
254	#361	—	47	2	no	—
255	#359	—	47	1	no	—
256	#359	—	47	1	no	—
257	#350	—	47	2	no	—
258	C₄×C₁₆	—	47	1	no	—
259	C₄₇	#33856	1	1	yes	characteristic, complemented, Sylow
260	2₋¹⁺⁴	—	2	2	no	—
261	H(5,𝔽₂)	—	94	2	no	—
262	#137	—	2	2	no	—
263	#137	—	2	2	no	—
264	#137	—	4	2	no	—
265	#137	—	4	2	no	—
266	AGL(1,ℤ/8)	—	94	2	no	—
267	AGL(1,ℤ/8)	—	94	2	no	—
268	AGL(1,ℤ/8)	—	188	2	no	—
269	AGL(1,ℤ/8)	—	188	2	no	—
270	#135	—	2	2	no	—
271	#135	—	4	1	no	—
272	#135	—	47	1	no	—
273	#135	—	94	2	no	—
274	#135	—	188	1	no	—
275	#135	C₂²⋊D₄₇	1	1	yes	characteristic
276	#135	C₂²×D₄₇	1	1	yes	characteristic
277	C₂×Q₁₆	—	2	2	no	—
278	C₂×Q₁₆	—	2	1	no	—
279	C₂×Q₁₆	—	4	1	no	—
280	C₂×Q₁₆	C₂²×D₄₇	1	2	yes	—
281	C₂×D₈	—	47	2	no	—
282	C₂×D₈	—	94	2	no	—
283	C₂×D₈	—	94	1	no	—
284	C₂×D₈	—	188	1	no	—
285	#131	—	2	1	no	—
286	#131	—	94	1	no	—
287	#131	C₂²×D₄₇	1	2	yes	—
288	C₄⋊Q₈	—	2	1	no	—
289	#127	—	94	1	no	—
290	Q₃₂	—	47	1	no	—
291	Q₃₂	—	94	2	no	—
292	SD₃₂	—	47	1	no	—
293	SD₃₂	—	47	1	no	—
294	SD₃₂	—	94	2	no	—
295	SD₃₂	—	94	2	no	—
296	SD₃₂	—	94	2	no	—
297	SD₃₂	—	94	2	no	—
298	SD₃₂	—	188	2	no	—
299	D₁₆	—	47	1	no	—
300	D₁₆	—	94	2	no	—
301	M₃₂	—	47	2	no	—
302	M₃₂	—	94	2	no	—
303	C₂×C₁₆	—	47	1	no	—
304	C₂×C₁₆	—	47	1	no	—
305	C₂×C₁₆	—	94	2	no	—
306	#108	—	47	1	no	—
307	#108	C₂²⋊D₄₇	1	1	yes	characteristic
308	#108	C₂²×D₄₇	1	1	yes	characteristic
309	#104	—	2	1	no	—
310	#104	—	94	1	no	—
311	#104	C₂²⋊D₄₇	1	2	yes	—
312	#101	—	2	2	no	—
313	#100	—	94	2	no	—
314	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
315	#41	—	2	1	no	—
316	#41	—	4	2	no	—
317	#41	—	4	2	no	—
318	#41	—	8	2	no	—
319	#41	—	94	1	no	—
320	#41	—	188	2	no	—
321	#41	—	188	2	no	—
322	#41	C₂×C₂²⋊D₄₇	1	2	yes	—
323	C₂×Q₈	—	2	2	no	—
324	C₂×Q₈	—	4	2	no	—
325	C₂×Q₈	—	4	2	no	—
326	C₂×D₄	—	94	2	no	—
327	C₂×D₄	—	376	1	no	—
328	C₂×D₄	—	376	2	no	—
329	C₂×D₄	—	188	2	no	—
330	C₂×D₄	—	188	2	no	—
331	Q₁₆	—	2	2	no	—
332	Q₁₆	—	2	2	no	—
333	Q₁₆	—	4	2	no	—
334	Q₁₆	—	4	2	no	—
335	Q₁₆	—	4	1	no	—
336	Q₁₆	—	4	1	no	—
337	Q₁₆	—	47	1	no	—
338	Q₁₆	#10625334	1	1	yes	characteristic
339	Q₁₆	D₄×D₄₇	1	1	yes	characteristic
340	SD₁₆	—	2	1	no	—
341	SD₁₆	—	4	2	no	—
342	SD₁₆	—	4	2	no	—
343	SD₁₆	—	94	1	no	—
344	SD₁₆	—	188	2	no	—
345	SD₁₆	—	188	2	no	—
346	SD₁₆	#10625334	1	2	yes	—
347	D₈	—	47	1	no	—
348	D₈	—	94	2	no	—
349	D₈	—	94	2	no	—
350	D₈	—	188	2	no	—
351	D₈	—	188	2	no	—
352	D₈	—	188	1	no	—
353	D₈	—	188	1	no	—
354	D₈	#10625334	1	1	yes	characteristic
355	D₈	D₄×D₄₇	1	1	yes	characteristic
356	M₁₆	—	2	2	no	—
357	M₁₆	—	2	1	no	—
358	M₁₆	—	4	1	no	—
359	M₁₆	—	94	1	no	—
360	M₁₆	—	188	1	no	—
361	M₁₆	C₂×C₂²⋊D₄₇	1	2	yes	—
362	C₂×C₈	—	2	2	no	—
363	C₂×C₈	—	4	1	no	—
364	C₂×C₈	—	188	1	no	—
365	C₂×C₈	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
366	C₂×C₈	C₂³×D₄₇	1	1	yes	characteristic
367	C₄⋊C₄	—	8	1	no	—
368	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
369	C₁₆	—	47	1	no	—
370	C₁₆	—	47	1	no	—
371	C₁₆	—	94	2	no	—
372	C₁₆	—	94	1	no	—
373	C₂³	—	376	2	no	—
374	C₂³	—	188	2	no	—
375	Q₈	—	2	1	no	—
376	Q₈	—	4	2	no	—
377	Q₈	—	4	2	no	—
378	Q₈	—	8	2	no	—
379	Q₈	—	94	1	no	—
380	Q₈	C₂×#10625334	1	2	yes	—
381	D₄	—	2	2	no	—
382	D₄	—	2	1	no	—
383	D₄	—	4	1	no	—
384	D₄	—	8	2	no	—
385	D₄	—	94	1	no	—
386	D₄	—	376	2	no	—
387	D₄	—	376	2	no	—
388	D₄	—	188	1	no	—
389	D₄	—	188	2	no	—
390	D₄	—	188	2	no	—
391	D₄	—	752	2	no	—
392	D₄	C₂×#10625334	1	2	yes	—
393	C₂×C₄	—	2	1	no	—
394	C₂×C₄	—	2	2	no	—
395	C₂×C₄	—	4	1	no	—
396	C₂×C₄	—	4	2	no	—
397	C₂×C₄	—	8	2	no	—
398	C₂×C₄	—	8	2	no	—
399	C₂×C₄	—	376	2	no	—
400	C₂×C₄	—	188	1	no	—
401	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
402	C₈	—	2	2	no	—
403	C₈	—	4	1	no	—
404	C₈	—	188	1	no	—
405	C₈	C₂×#10625334	1	1	yes	characteristic
406	C₈	C₂×#10625334	1	1	yes	characteristic
407	C₈	C₂×D₄×D₄₇	1	1	yes	characteristic
408	C₈	#13094069	1	1	yes	characteristic
409	C₂²	—	2	2	no	—
410	C₂²	—	4	1	no	—
411	C₂²	—	376	2	no	—
412	C₂²	—	188	1	no	—
413	C₂²	—	1504	2	no	—
414	C₂²	—	752	2	no	—
415	C₂²	#15689926	1	1	yes	characteristic
416	C₄	—	2	2	no	—
417	C₄	—	2	2	no	—
418	C₄	—	4	1	no	—
419	C₄	—	8	2	no	—
420	C₄	—	188	1	no	—
421	C₄	D₄×C₂²⋊D₄₇	1	1	yes	characteristic
422	C₄	C₂²×#10625334	1	1	yes	characteristic
423	C₂	—	2	1	no	—
424	C₂	—	4	2	no	—
425	C₂	—	8	1	no	—
426	C₂	—	376	1	no	—
427	C₂	—	752	2	no	—
428	C₂	D₄×#10625334	1	1	yes	characteristic

	subgroup	G/H
center	C₂	D₄×#10625334
commutator, cosocle	C₂×C₈×C₄₇	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₇
Fitting	C₄₇×#3293	C₂
socle	C₂×C₄₇	D₄×D₈
hypercenter	#3293	D₄₇
hypocenter	C₄₇	#33856
LCS	G ▷ C₂×C₈×C₄₇ ▷ C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #443 ◁ #3293

Complements

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

N	H ≅ G/N	type
1. #20256532	C₂	semidirect
2. #20255188	C₂	semidirect
3. #20245645	C₂	semidirect
4. #20245520	C₂	semidirect
5. #20245466	C₂	semidirect
6. #20245464	C₂	semidirect
7. #20245357	C₂	semidirect
8. #20245352	C₂	semidirect
9. #20245267	C₂	semidirect
10. #20245225	C₂	semidirect
11. C₄₇×#3293	C₂	semidirect
17. #15689558	C₂²	semidirect
21. C₂×#13093967	C₂²	semidirect
22. C₂×#13093967	C₂²	semidirect
23. #15689540	C₂²	semidirect
29. #15688952	C₂²	semidirect
30. #15688944	C₂²	semidirect
31. #15688939	C₂²	semidirect
32. #15688935	C₂²	semidirect
33. #15688930	C₂²	semidirect
35. #15688907	C₂²	semidirect
36. C₄×C₄₇⋊C₁₆	C₂²	semidirect
38. C₄₇×#578	C₂²	semidirect
39. C₄₇×#494	C₂²	semidirect
41. C₄₇×#473	C₂²	semidirect
44. C₄₇×#443	C₂²	semidirect
60. #13093970	D₄	semidirect
61. #13093968	D₄	semidirect
67. #13093967	D₄	semidirect
69. #13093965	D₄	semidirect
210. #3293	D₄₇	semidirect
227. #578	C₂×D₄₇	semidirect
240. #494	C₂×D₄₇	semidirect
243. #473	C₂×D₄₇	semidirect
250. #443	C₂×D₄₇	semidirect
259. C₄₇	#33856	semidirect

Maximal subgroups

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

subgroup	index
#20256532	2
#20255188	2
#20245645	2
#20245520	2
#20245466	2
#20245464	2
#20245357	2
#20245352	2
#20245267	2
#20245225	2
C₄₇×#3293	2
#33856	47