Subgroups — #26201435

Order 12032.

738 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254329	C₂	1	1	yes	maximal, characteristic, complemented
2	#20253185	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252412	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242795	C₂	1	4	yes	maximal, complemented
5	#20242727	C₂	1	4	yes	maximal, complemented
6	#20242158	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242056	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242046	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄₇×#459	C₂	1	1	yes	maximal, characteristic
10	#15689680	C₂²	1	1	yes	characteristic
11	#15689495	C₂²	1	2	yes	complemented
12	#15689469	C₂²	1	2	yes	complemented
13	#15689423	—	2	2	no	—
14	#15689413	C₂²	1	2	yes	complemented
15	#15689403	C₂²	1	2	yes	complemented
16	#15689320	—	2	2	no	—
17	#15689274	—	2	2	no	—
18	D₄×C₄₇⋊C₈	—	2	2	no	—
19	D₄×C₄₇⋊C₈	C₂²	1	4	yes	complemented
20	#15689176	C₂²	1	1	yes	characteristic
21	#15689176	C₂²	1	1	yes	characteristic
22	#15689163	—	2	1	no	—
23	#15689147	C₂²	1	1	yes	characteristic
24	#15689128	—	2	1	no	—
25	C₂×C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
26	#15688873	C₂²	1	4	yes	complemented
27	#15688871	C₂²	1	2	yes	complemented
28	#15688868	C₂²	1	2	yes	complemented
29	#15688867	C₂²	1	4	yes	complemented
30	C₂²×D₈×C₄₇	—	2	1	no	—
31	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
33	C₄₇×#459	—	2	2	no	—
34	C₄₇×#459	C₂²	1	4	yes	—
35	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
36	C₂×#102×C₄₇	—	2	1	no	—
37	C₂×#10625335	—	2	4	no	—
38	C₂×#10625329	—	2	1	no	—
39	C₂²×C₄₇⋊C₈	—	2	4	no	—
40	#13094024	C₂³	1	1	yes	characteristic
41	#13094024	C₂³	1	1	yes	characteristic
42	#13094016	—	2	1	no	—
43	#13094003	—	2	1	no	—
44	#13094003	—	2	1	no	—
45	C₄×Dic₉₄	—	2	1	no	—
46	C₄×Dic₉₄	—	2	1	no	—
47	#13093983	—	2	1	no	—
48	#13093957	—	2	2	no	—
49	#13093955	—	2	2	no	—
50	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
51	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
52	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
53	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
54	#13093945	—	2	2	no	—
55	#13093945	—	2	2	no	—
56	#13093945	—	2	4	no	—
57	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
58	C₂²⋊(C₄₇⋊C₈)	—	2	4	no	—
59	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
60	C₄×C₄₇⋊C₈	—	2	1	no	—
61	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
62	C₂²×D₄×C₄₇	—	2	1	no	—
63	C₂²×D₄×C₄₇	—	2	1	no	—
64	C₂²×D₄×C₄₇	—	2	1	no	—
65	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
66	C₂³×C₄×C₄₇	—	2	1	no	—
67	C₂×D₈×C₄₇	—	2	4	no	—
68	C₂×D₈×C₄₇	—	4	4	no	—
69	C₂²×C₈×C₄₇	—	2	1	no	—
70	#127×C₄₇	—	2	1	no	—
71	#127×C₄₇	—	2	1	no	—
72	#127×C₄₇	—	2	1	no	—
73	#127×C₄₇	C₂³	1	2	yes	—
74	C₄×D₄×C₄₇	—	2	1	no	—
75	C₄×D₄×C₄₇	—	2	1	no	—
76	C₄×D₄×C₄₇	D₄	1	2	yes	—
77	C₄×D₄×C₄₇	C₂³	1	2	yes	—
78	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
79	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
80	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
81	C₄⋊C₈×C₄₇	—	2	1	no	—
82	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
83	#102×C₄₇	—	2	4	no	—
84	C₂⁴×C₄₇	—	2	1	no	—
85	C₂⁴×C₄₇	—	4	1	no	—
86	C₂×D₄×C₄₇	—	2	1	no	—
87	C₂×D₄×C₄₇	—	2	2	no	—
88	C₂×D₄×C₄₇	—	2	2	no	—
89	C₂×D₄×C₄₇	—	2	2	no	—
90	C₂×D₄×C₄₇	—	2	2	no	—
91	C₂×D₄×C₄₇	—	4	1	no	—
92	C₂×D₄×C₄₇	—	4	1	no	—
93	C₂×D₄×C₄₇	—	4	1	no	—
94	C₂×D₄×C₄₇	—	4	2	no	—
95	C₂×D₄×C₄₇	—	4	2	no	—
96	C₂×D₄×C₄₇	—	8	2	no	—
97	C₂×D₄×C₄₇	—	8	2	no	—
98	C₂×D₄×C₄₇	SD₁₆	1	4	yes	complemented
99	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
100	C₂²×C₄×C₄₇	—	2	1	no	—
101	C₂²×C₄×C₄₇	—	2	2	no	—
102	C₂²×C₄×C₄₇	—	2	2	no	—
103	C₂²×C₄×C₄₇	—	8	2	no	—
104	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
106	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
107	C₂×Dic₉₄	—	2	1	no	—
108	C₂×Dic₉₄	—	2	1	no	—
109	D₈×C₄₇	—	4	8	no	—
110	C₂×C₈×C₄₇	—	2	2	no	—
111	C₂×C₈×C₄₇	—	4	2	no	—
112	C₄⋊C₄×C₄₇	—	2	1	no	—
113	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
114	C₂²⋊C₄×C₄₇	—	2	2	no	—
115	C₂²⋊C₄×C₄₇	—	2	2	no	—
116	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
118	C₄²×C₄₇	#41	1	1	yes	characteristic
119	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
120	C₂²⋊Dic₄₇	—	4	1	no	—
121	#10625335	—	8	4	no	—
122	C₄⋊Dic₄₇	—	2	1	no	—
123	C₄⋊Dic₄₇	—	2	1	no	—
124	C₄⋊Dic₄₇	—	2	1	no	—
125	C₄⋊Dic₄₇	—	2	1	no	—
126	Dic₄₇⋊C₄	—	4	1	no	—
127	Dic₄₇⋊C₄	—	4	1	no	—
128	C₄×Dic₄₇	—	4	1	no	—
129	#10625329	—	4	2	no	—
130	C₂×C₄₇⋊C₈	—	2	2	no	—
131	C₂×C₄₇⋊C₈	—	2	2	no	—
132	C₂×C₄₇⋊C₈	—	8	4	no	—
133	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
134	C₂³×C₄₇	—	2	2	no	—
135	C₂³×C₄₇	—	2	4	no	—
136	C₂³×C₄₇	—	4	2	no	—
137	C₂³×C₄₇	—	8	1	no	—
138	C₂³×C₄₇	—	8	1	no	—
139	C₂³×C₄₇	—	8	2	no	—
140	C₂³×C₄₇	—	8	2	no	—
141	C₂³×C₄₇	—	8	2	no	—
142	C₂³×C₄₇	#121	1	1	yes	characteristic
143	D₄×C₄₇	—	2	2	no	—
144	D₄×C₄₇	—	2	4	no	—
145	D₄×C₄₇	—	4	2	no	—
146	D₄×C₄₇	—	4	2	no	—
147	D₄×C₄₇	—	4	4	no	—
148	D₄×C₄₇	—	8	2	no	—
149	D₄×C₄₇	—	8	2	no	—
150	D₄×C₄₇	—	8	2	no	—
151	D₄×C₄₇	—	8	2	no	—
152	D₄×C₄₇	C₂×SD₁₆	1	4	yes	—
153	C₂×C₄×C₄₇	—	2	2	no	—
154	C₂×C₄×C₄₇	—	2	2	no	—
155	C₂×C₄×C₄₇	—	4	1	no	—
156	C₂×C₄×C₄₇	—	4	4	no	—
157	C₂×C₄×C₄₇	—	8	2	no	—
158	C₂×C₄×C₄₇	—	8	1	no	—
159	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
160	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
161	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
162	C₂×C₄×C₄₇	C₂×SD₁₆	1	2	yes	—
163	C₂×C₄×C₄₇	#135	1	2	yes	—
164	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
165	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
167	C₂×Dic₄₇	—	4	1	no	—
168	C₂×Dic₄₇	—	4	1	no	—
169	Dic₉₄	—	4	2	no	—
170	Dic₉₄	—	8	1	no	—
171	C₈×C₄₇	—	4	2	no	—
172	C₄₇⋊C₈	—	2	4	no	—
173	C₄₇⋊C₈	—	4	2	no	—
174	C₄₇⋊C₈	—	4	2	no	—
175	#19384	—	47	1	no	maximal, Sylow
176	C₂²×C₄₇	—	2	1	no	—
177	C₂²×C₄₇	—	2	1	no	—
178	C₂²×C₄₇	—	2	4	no	—
179	C₂²×C₄₇	—	4	2	no	—
180	C₂²×C₄₇	—	4	2	no	—
181	C₂²×C₄₇	—	8	4	no	—
182	C₂²×C₄₇	—	8	2	no	—
183	C₂²×C₄₇	—	8	2	no	—
184	C₂²×C₄₇	—	8	2	no	—
185	C₂²×C₄₇	—	16	4	no	—
186	C₂²×C₄₇	#465	1	2	yes	—
187	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
188	C₄×C₄₇	—	2	1	no	—
189	C₄×C₄₇	—	2	1	no	—
190	C₄×C₄₇	—	2	1	no	—
191	C₄×C₄₇	—	4	2	no	—
192	C₄×C₄₇	#465	1	2	yes	—
193	C₄×C₄₇	C₂²×SD₁₆	1	1	yes	characteristic
194	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
195	C₄×C₄₇	#576	1	2	yes	—
196	Dic₄₇	—	8	1	no	—
197	Dic₄₇	—	8	1	no	—
198	#3208	—	47	1	no	—
199	#3077	—	47	1	no	—
200	C₂×#459	D₄₇	1	1	yes	characteristic
201	#2972	—	47	1	no	—
202	#1677	—	47	4	no	—
203	#1665	—	47	4	no	—
204	#1570	—	47	1	no	—
205	#1545	—	47	1	no	—
206	#1542	—	47	1	no	—
207	C₂×C₄₇	—	2	2	no	—
208	C₂×C₄₇	—	4	4	no	—
209	C₂×C₄₇	—	16	2	no	—
210	C₂×C₄₇	#3041	1	1	yes	characteristic
211	C₂×C₄₇	C₂×#465	1	1	yes	characteristic
212	C₂×C₄₇	#3068	1	1	yes	characteristic
213	C₂²×D₈	—	2	1	no	—
214	#533	—	47	1	no	—
215	C₂×#127	C₂×D₄₇	1	1	yes	characteristic
216	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
217	#492	—	47	2	no	—
218	#486	—	47	2	no	—
219	#478	—	94	2	no	—
220	#476	—	47	2	no	—
221	#474	—	47	2	no	—
222	#460	—	94	2	no	—
223	#459	—	2	2	no	—
224	#459	C₂×D₄₇	1	4	yes	—
225	#450	—	94	2	no	—
226	C₈×D₄	—	47	4	no	—
227	C₈×D₄	—	94	2	no	—
228	#431	—	47	1	no	—
229	#431	—	47	1	no	—
230	#428	—	94	1	no	—
231	#423	—	47	1	no	—
232	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
233	#418	—	94	1	no	—
234	C₂×#102	—	2	1	no	—
235	C₂×C₂²⋊C₈	—	94	2	no	—
236	#334	—	47	4	no	—
237	#333	—	47	2	no	—
238	#332	—	47	2	no	—
239	#331	—	47	4	no	—
240	C₄₇	#19384	1	1	yes	characteristic, complemented, Sylow
241	C₂²×D₄	—	2	1	no	—
242	C₂²×D₄	—	2	1	no	—
243	C₂²×D₄	—	2	1	no	—
244	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
245	C₂³×C₄	—	2	1	no	—
246	C₂×SD₁₆	—	94	4	no	—
247	C₂×D₈	—	2	4	no	—
248	C₂×D₈	—	4	4	no	—
249	C₂×M₁₆	—	94	1	no	—
250	C₂²×C₈	—	2	1	no	—
251	C₂²×C₈	—	94	4	no	—
252	C₄⋊Q₈	—	47	1	no	—
253	C₄⋊Q₈	—	47	1	no	—
254	#127	—	2	1	no	—
255	#127	—	2	1	no	—
256	#127	—	2	1	no	—
257	#127	C₂²×D₄₇	1	2	yes	—
258	#125	—	94	1	no	—
259	C₂²⋊Q₈	—	94	1	no	—
260	C₂²⋊Q₈	—	94	1	no	—
261	C₄×Q₈	—	94	1	no	—
262	C₄×Q₈	—	94	1	no	—
263	C₄×D₄	—	2	1	no	—
264	C₄×D₄	—	2	1	no	—
265	C₄×D₄	C₂²⋊D₄₇	1	2	yes	—
266	C₄×D₄	C₂²×D₄₇	1	2	yes	—
267	#117	—	94	1	no	—
268	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
269	C₂×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
271	#107	—	94	2	no	—
272	#106	—	94	2	no	—
273	C₄⋊C₈	—	2	1	no	—
274	C₄⋊C₈	—	47	2	no	—
275	C₄⋊C₈	—	47	2	no	—
276	C₄⋊C₈	—	47	2	no	—
277	C₄⋊C₈	—	94	1	no	—
278	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
279	#102	—	2	4	no	—
280	#102	—	94	4	no	—
281	#102	—	94	2	no	—
282	#102	—	94	2	no	—
283	C₂²⋊C₈	—	47	2	no	—
284	C₂²⋊C₈	—	94	4	no	—
285	C₂²⋊C₈	—	94	1	no	—
286	C₄×C₈	—	47	2	no	—
287	C₄×C₈	—	94	1	no	—
288	C₂⁴	—	2	1	no	—
289	C₂⁴	—	4	1	no	—
290	C₂×Q₈	—	94	1	no	—
291	C₂×Q₈	—	94	1	no	—
292	C₂×D₄	—	2	1	no	—
293	C₂×D₄	—	2	2	no	—
294	C₂×D₄	—	2	2	no	—
295	C₂×D₄	—	2	2	no	—
296	C₂×D₄	—	2	2	no	—
297	C₂×D₄	—	4	1	no	—
298	C₂×D₄	—	4	1	no	—
299	C₂×D₄	—	4	1	no	—
300	C₂×D₄	—	4	2	no	—
301	C₂×D₄	—	4	2	no	—
302	C₂×D₄	—	8	2	no	—
303	C₂×D₄	—	8	2	no	—
304	C₂×D₄	#10625335	1	4	yes	complemented
305	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
306	C₂²×C₄	—	2	1	no	—
307	C₂²×C₄	—	2	2	no	—
308	C₂²×C₄	—	2	2	no	—
309	C₂²×C₄	—	8	2	no	—
310	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
311	C₂²×C₄	#10625352	1	1	yes	characteristic
312	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
313	SD₁₆	—	376	4	no	—
314	D₈	—	4	8	no	—
315	M₁₆	—	188	2	no	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	4	2	no	—
318	C₂×C₈	—	47	4	no	—
319	C₂×C₈	—	94	2	no	—
320	C₂×C₈	—	94	2	no	—
321	C₂×C₈	—	376	4	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	94	1	no	—
324	C₄⋊C₄	—	94	1	no	—
325	C₄⋊C₄	—	94	1	no	—
326	C₄⋊C₄	—	94	1	no	—
327	C₄⋊C₄	—	188	1	no	—
328	C₄⋊C₄	—	188	1	no	—
329	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
330	C₂²⋊C₄	—	2	2	no	—
331	C₂²⋊C₄	—	2	2	no	—
332	C₂²⋊C₄	—	188	1	no	—
333	C₄²	—	188	1	no	—
334	C₄²	D₄×D₄₇	1	1	yes	characteristic
335	C₄²	#10625352	1	1	yes	characteristic
336	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
337	C₄²	C₂³×D₄₇	1	1	yes	characteristic
338	C₂³	—	2	2	no	—
339	C₂³	—	2	4	no	—
340	C₂³	—	4	2	no	—
341	C₂³	—	8	1	no	—
342	C₂³	—	8	1	no	—
343	C₂³	—	8	2	no	—
344	C₂³	—	8	2	no	—
345	C₂³	—	8	2	no	—
346	C₂³	#13093996	1	1	yes	characteristic
347	Q₈	—	376	1	no	—
348	Q₈	—	188	2	no	—
349	D₄	—	2	4	no	—
350	D₄	—	2	2	no	—
351	D₄	—	4	2	no	—
352	D₄	—	4	2	no	—
353	D₄	—	4	4	no	—
354	D₄	—	8	2	no	—
355	D₄	—	8	2	no	—
356	D₄	—	8	2	no	—
357	D₄	—	8	2	no	—
358	D₄	C₂×#10625335	1	4	yes	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	4	1	no	—
362	C₂×C₄	—	4	4	no	—
363	C₂×C₄	—	8	2	no	—
364	C₂×C₄	—	8	1	no	—
365	C₂×C₄	—	188	1	no	—
366	C₂×C₄	—	188	1	no	—
367	C₂×C₄	#13093996	1	1	yes	characteristic
368	C₂×C₄	#13093996	1	1	yes	characteristic
369	C₂×C₄	#13093996	1	1	yes	characteristic
370	C₂×C₄	C₂×#10625335	1	2	yes	—
371	C₂×C₄	#13094044	1	2	yes	—
372	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
374	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
375	C₈	—	4	2	no	—
376	C₈	—	94	4	no	—
377	C₈	—	188	2	no	—
378	C₈	—	188	2	no	—
379	C₂²	—	2	1	no	—
380	C₂²	—	2	1	no	—
381	C₂²	—	2	4	no	—
382	C₂²	—	4	2	no	—
383	C₂²	—	4	2	no	—
384	C₂²	—	8	4	no	—
385	C₂²	—	8	2	no	—
386	C₂²	—	8	2	no	—
387	C₂²	—	8	2	no	—
388	C₂²	—	16	4	no	—
389	C₂²	#15689350	1	2	yes	—
390	C₂²	C₂×#13093996	1	1	yes	characteristic
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	4	2	no	—
395	C₄	—	376	1	no	—
396	C₄	—	376	1	no	—
397	C₄	#15689350	1	2	yes	—
398	C₄	C₂²×#10625335	1	1	yes	characteristic
399	C₄	C₂×#13094044	1	1	yes	characteristic
400	C₄	#15689924	1	2	yes	—
401	C₂	—	2	2	no	—
402	C₂	—	4	4	no	—
403	C₂	—	16	2	no	—
404	C₂	#20252888	1	1	yes	characteristic
405	C₂	C₂×#15689350	1	1	yes	characteristic
406	C₂	#20253113	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093996
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting, prime radical	C₂×C₄₇×#459	C₂
socle	C₂²×C₄₇	C₂×#121
hypercenter	C₂×#459	D₄₇
hypocenter	C₄₇	#19384
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#459

Complements

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

N	H ≅ G/N	type
1. #20254329	C₂	semidirect
2. #20253185	C₂	semidirect
3. #20252412	C₂	semidirect
4. #20242795	C₂	semidirect
5. #20242727	C₂	semidirect
6. #20242158	C₂	semidirect
7. #20242056	C₂	semidirect
8. #20242046	C₂	semidirect
11. #15689495	C₂²	semidirect
12. #15689469	C₂²	semidirect
14. #15689413	C₂²	semidirect
15. #15689403	C₂²	semidirect
19. D₄×C₄₇⋊C₈	C₂²	semidirect
26. #15688873	C₂²	semidirect
27. #15688871	C₂²	semidirect
28. #15688868	C₂²	semidirect
29. #15688867	C₂²	semidirect
98. C₂×D₄×C₄₇	SD₁₆	semidirect
240. C₄₇	#19384	semidirect
304. C₂×D₄	#10625335	semidirect

Maximal subgroups

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

subgroup	index
#20254329	2
#20253185	2
#20252412	2
#20242795	2
#20242727	2
#20242158	2
#20242056	2
#20242046	2
C₂×C₄₇×#459	2
#19384	47