Subgroups — #26201516

Order 12032.

728 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254506	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15689328	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252412	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242823	C₂	1	4	yes	maximal, complemented
5	#20242775	C₂	1	4	yes	maximal, complemented
6	#20242164	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242061	C₂	1	1	yes	maximal, characteristic, complemented
8	#20242037	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#3036	C₂	1	1	yes	maximal, characteristic
10	C₂²×#10625335	—	2	1	no	—
11	C₂×#13094024	C₂²	1	1	yes	characteristic
12	#15689526	C₂²	1	2	yes	complemented
13	#15689469	C₂²	1	2	yes	complemented
14	#15689434	—	2	2	no	—
15	#15689403	—	2	2	no	—
16	#15689328	—	2	2	no	—
17	#15689328	C₂²	1	4	yes	—
18	D₄×C₄₇⋊C₈	—	2	2	no	—
19	D₄×C₄₇⋊C₈	C₂²	1	4	yes	—
20	#15689176	C₂²	1	1	yes	characteristic
21	#15689176	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
23	C₂×#13093947	—	2	1	no	—
24	C₂×C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
25	#15688875	C₂²	1	4	yes	complemented
26	#15688870	C₂²	1	4	yes	complemented
27	#15688869	C₂²	1	2	yes	complemented
28	#15688867	C₂²	1	2	yes	complemented
29	C₂×AGL(1,ℤ/8)×C₄₇	—	2	1	no	—
30	C₄₇×#532	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
32	C₄₇×#463	—	2	2	no	—
33	C₄₇×#461	C₂²	1	2	yes	—
34	C₄₇×#459	C₂²	1	2	yes	—
35	C₄₇×#423	C₂²	1	1	yes	characteristic
36	C₄₇×#417	—	2	1	no	—
37	C₂²×Dic₉₄	—	2	1	no	—
38	C₂×#10625335	—	2	4	no	—
39	C₂×#10625335	—	4	4	no	—
40	C₂²×C₄₇⋊C₈	—	2	1	no	—
41	C₂²×C₄₇⋊C₈	—	2	4	no	—
42	#13094024	—	2	1	no	—
43	#13094024	—	2	1	no	—
44	#13094024	—	2	1	no	—
45	#13094024	C₂³	1	2	yes	—
46	C₂×C₄⋊Dic₄₇	—	2	1	no	—
47	C₂×C₄⋊Dic₄₇	—	2	1	no	—
48	#13093957	—	2	4	no	—
49	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
50	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
51	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
52	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
53	#13093947	—	2	4	no	—
54	#13093945	—	2	4	no	—
55	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
56	C₂²⋊(C₄₇⋊C₈)	—	2	4	no	—
57	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
58	C₄×C₄₇⋊C₈	—	2	1	no	—
59	C₄×C₄₇⋊C₈	C₂³	1	2	yes	—
60	C₂×#41×C₄₇	—	2	1	no	—
61	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
62	C₂³×C₄×C₄₇	—	2	1	no	—
63	AGL(1,ℤ/8)×C₄₇	—	4	4	no	—
64	C₂×SD₁₆×C₄₇	—	2	2	no	—
65	C₂×D₈×C₄₇	—	2	2	no	—
66	C₂×M₁₆×C₄₇	—	2	1	no	—
67	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
68	#127×C₄₇	C₂³	1	1	yes	characteristic
69	#124×C₄₇	—	2	1	no	—
70	#121×C₄₇	—	2	1	no	—
71	#121×C₄₇	—	2	1	no	—
72	C₄×D₄×C₄₇	—	2	1	no	—
73	C₄×D₄×C₄₇	—	2	1	no	—
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	#103×C₄₇	—	2	2	no	—
84	#102×C₄₇	—	2	2	no	—
85	C₂⁴×C₄₇	—	2	1	no	—
86	#41×C₄₇	—	4	2	no	—
87	#41×C₄₇	—	4	2	no	—
88	C₂×Q₈×C₄₇	—	2	1	no	—
89	C₂×D₄×C₄₇	—	2	1	no	—
90	C₂×D₄×C₄₇	—	2	2	no	—
91	C₂×D₄×C₄₇	—	2	1	no	—
92	C₂×D₄×C₄₇	—	2	1	no	—
93	C₂×D₄×C₄₇	—	2	1	no	—
94	C₂×D₄×C₄₇	—	4	1	no	—
95	C₂×D₄×C₄₇	D₈	1	4	yes	—
96	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₄₇	—	2	1	no	—
98	C₂²×C₄×C₄₇	—	2	2	no	—
99	C₂²×C₄×C₄₇	—	2	2	no	—
100	C₂²×C₄×C₄₇	—	4	1	no	—
101	C₂²×C₄×C₄₇	—	8	2	no	—
102	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
105	C₂²×Dic₄₇	—	4	1	no	—
106	C₂×Dic₉₄	—	2	2	no	—
107	C₂×Dic₉₄	—	4	2	no	—
108	C₂×Dic₉₄	—	4	2	no	—
109	C₂×Dic₉₄	—	4	1	no	—
110	SD₁₆×C₄₇	—	4	4	no	—
111	D₈×C₄₇	—	4	4	no	—
112	M₁₆×C₄₇	—	4	2	no	—
113	C₂×C₈×C₄₇	—	2	2	no	—
114	C₄⋊C₄×C₄₇	—	2	1	no	—
115	C₄⋊C₄×C₄₇	—	2	1	no	—
116	C₄⋊C₄×C₄₇	—	2	1	no	—
117	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
118	C₂²⋊C₄×C₄₇	—	2	2	no	—
119	C₂²⋊C₄×C₄₇	—	2	2	no	—
120	C₂²⋊C₄×C₄₇	—	4	1	no	—
121	C₂²⋊C₄×C₄₇	—	4	1	no	—
122	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
123	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₄₇	#41	1	1	yes	characteristic
125	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
126	#10625335	—	4	8	no	—
127	C₄⋊Dic₄₇	—	2	2	no	—
128	C₄⋊Dic₄₇	—	2	2	no	—
129	C₄⋊Dic₄₇	—	4	1	no	—
130	C₄⋊Dic₄₇	—	4	1	no	—
131	C₂×C₄₇⋊C₈	—	2	2	no	—
132	C₂×C₄₇⋊C₈	—	2	2	no	—
133	C₂×C₄₇⋊C₈	—	4	2	no	—
134	C₂×C₄₇⋊C₈	—	8	4	no	—
135	C₂×C₄₇⋊C₈	C₂×D₄	1	4	yes	—
136	C₂³×C₄₇	—	2	2	no	—
137	C₂³×C₄₇	—	2	4	no	—
138	C₂³×C₄₇	—	4	1	no	—
139	C₂³×C₄₇	—	8	1	no	—
140	C₂³×C₄₇	—	8	1	no	—
141	C₂³×C₄₇	#121	1	1	yes	characteristic
142	Q₈×C₄₇	—	4	1	no	—
143	Q₈×C₄₇	—	4	1	no	—
144	D₄×C₄₇	—	2	2	no	—
145	D₄×C₄₇	—	2	4	no	—
146	D₄×C₄₇	—	4	1	no	—
147	D₄×C₄₇	—	4	1	no	—
148	D₄×C₄₇	—	4	2	no	—
149	D₄×C₄₇	—	8	1	no	—
150	D₄×C₄₇	—	8	2	no	—
151	D₄×C₄₇	C₂×D₈	1	4	yes	—
152	C₂×C₄×C₄₇	—	2	2	no	—
153	C₂×C₄×C₄₇	—	2	2	no	—
154	C₂×C₄×C₄₇	—	4	1	no	—
155	C₂×C₄×C₄₇	—	4	4	no	—
156	C₂×C₄×C₄₇	—	4	1	no	—
157	C₂×C₄×C₄₇	—	8	2	no	—
158	C₂×C₄×C₄₇	—	8	1	no	—
159	C₂×C₄×C₄₇	—	8	2	no	—
160	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
161	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
162	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
163	C₂×C₄×C₄₇	C₂×D₈	1	2	yes	—
164	C₂×C₄×C₄₇	#135	1	2	yes	—
165	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
168	C₂×Dic₄₇	—	4	2	no	—
169	C₂×Dic₄₇	—	8	2	no	—
170	Dic₉₄	—	4	2	no	—
171	Dic₉₄	—	4	2	no	—
172	Dic₉₄	—	8	2	no	—
173	C₈×C₄₇	—	4	2	no	—
174	C₄₇⋊C₈	—	2	4	no	—
175	C₄₇⋊C₈	—	4	2	no	—
176	C₄₇⋊C₈	—	4	2	no	—
177	#19392	—	47	1	no	maximal, Sylow
178	C₂²×C₄₇	—	2	1	no	—
179	C₂²×C₄₇	—	2	1	no	—
180	C₂²×C₄₇	—	2	4	no	—
181	C₂²×C₄₇	—	4	2	no	—
182	C₂²×C₄₇	—	4	2	no	—
183	C₂²×C₄₇	—	8	4	no	—
184	C₂²×C₄₇	—	8	1	no	—
185	C₂²×C₄₇	—	8	1	no	—
186	C₂²×C₄₇	—	8	1	no	—
187	C₂²×C₄₇	#466	1	2	yes	—
188	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
189	C₄×C₄₇	—	2	1	no	—
190	C₄×C₄₇	—	2	1	no	—
191	C₄×C₄₇	—	2	1	no	—
192	C₄×C₄₇	—	4	2	no	—
193	C₄×C₄₇	—	8	1	no	—
194	C₄×C₄₇	#466	1	2	yes	—
195	C₄×C₄₇	C₂²×D₈	1	1	yes	characteristic
196	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
197	C₄×C₄₇	#577	1	2	yes	—
198	Dic₄₇	—	8	2	no	—
199	#3226	—	47	1	no	—
200	#3036	D₄₇	1	1	yes	characteristic
201	C₂×#461	—	47	1	no	—
202	#2972	—	47	1	no	—
203	#1681	—	47	4	no	—
204	#1673	—	47	4	no	—
205	#1571	—	47	1	no	—
206	#1546	—	47	1	no	—
207	#1540	—	47	1	no	—
208	C₂×C₄₇	—	2	2	no	—
209	C₂×C₄₇	—	4	4	no	—
210	C₂×C₄₇	—	16	1	no	—
211	C₂×C₄₇	#3042	1	1	yes	characteristic
212	C₂×C₄₇	C₂×#466	1	1	yes	characteristic
213	C₂×C₄₇	#3069	1	1	yes	characteristic
214	C₂×AGL(1,ℤ/8)	—	2	1	no	—
215	C₂²×SD₁₆	—	94	1	no	—
216	#532	C₂×D₄₇	1	1	yes	characteristic
217	C₂×C₄⋊Q₈	—	47	1	no	—
218	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
219	#500	—	47	2	no	—
220	#486	—	47	2	no	—
221	#480	—	94	2	no	—
222	#474	—	94	2	no	—
223	#463	—	2	2	no	—
224	#461	—	47	4	no	—
225	#461	—	94	2	no	—
226	#461	C₂×D₄₇	1	2	yes	—
227	#459	C₂×D₄₇	1	2	yes	—
228	C₈×D₄	—	47	4	no	—
229	C₈×D₄	—	94	2	no	—
230	#431	—	47	1	no	—
231	#431	—	47	1	no	—
232	#423	C₂×D₄₇	1	1	yes	characteristic
233	C₂×C₄⋊C₈	—	47	1	no	—
234	#417	—	2	1	no	—
235	C₂×#103	—	94	1	no	—
236	C₂×C₂²⋊C₈	—	94	2	no	—
237	#335	—	47	4	no	—
238	#332	—	47	2	no	—
239	#332	—	47	4	no	—
240	#331	—	47	2	no	—
241	C₄₇	#19392	1	1	yes	characteristic, complemented, Sylow
242	C₂×#41	—	2	1	no	—
243	C₂²×Q₈	—	94	1	no	—
244	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
245	C₂³×C₄	—	2	1	no	—
246	AGL(1,ℤ/8)	—	4	4	no	—
247	C₂×SD₁₆	—	2	2	no	—
248	C₂×SD₁₆	—	94	4	no	—
249	C₂×SD₁₆	—	188	4	no	—
250	C₂×D₈	—	2	2	no	—
251	C₂×M₁₆	—	2	1	no	—
252	C₂²×C₈	—	94	4	no	—
253	C₂²×C₈	—	94	1	no	—
254	C₄⋊Q₈	—	47	2	no	—
255	C₄⋊Q₈	—	94	1	no	—
256	C₄⋊Q₈	—	94	1	no	—
257	C₄⋊Q₈	—	94	1	no	—
258	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
259	#127	C₂²×D₄₇	1	1	yes	characteristic
260	#124	—	2	1	no	—
261	#121	—	2	1	no	—
262	#121	—	2	1	no	—
263	C₄×D₄	—	2	1	no	—
264	C₄×D₄	—	2	1	no	—
265	C₄×D₄	—	2	1	no	—
266	C₄×D₄	—	2	1	no	—
267	C₄×D₄	C₂²⋊D₄₇	1	2	yes	—
268	C₄×D₄	C₂²×D₄₇	1	2	yes	—
269	C₂×C₄⋊C₄	—	94	1	no	—
270	C₂×C₄⋊C₄	—	94	1	no	—
271	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
272	C₂×C₂²⋊C₄	—	2	1	no	—
273	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
274	#107	—	94	4	no	—
275	C₄⋊C₈	—	2	1	no	—
276	C₄⋊C₈	—	47	2	no	—
277	C₄⋊C₈	—	47	2	no	—
278	C₄⋊C₈	—	47	2	no	—
279	C₄⋊C₈	—	94	1	no	—
280	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
281	#103	—	2	2	no	—
282	#103	—	94	4	no	—
283	#102	—	2	2	no	—
284	#102	—	94	4	no	—
285	C₂²⋊C₈	—	47	2	no	—
286	C₂²⋊C₈	—	94	4	no	—
287	C₂²⋊C₈	—	94	1	no	—
288	C₄×C₈	—	47	2	no	—
289	C₄×C₈	—	94	1	no	—
290	C₂⁴	—	2	1	no	—
291	#41	—	4	2	no	—
292	#41	—	4	2	no	—
293	C₂×Q₈	—	2	1	no	—
294	C₂×Q₈	—	94	2	no	—
295	C₂×Q₈	—	188	2	no	—
296	C₂×Q₈	—	188	2	no	—
297	C₂×Q₈	—	188	1	no	—
298	C₂×D₄	—	2	1	no	—
299	C₂×D₄	—	2	2	no	—
300	C₂×D₄	—	2	1	no	—
301	C₂×D₄	—	2	1	no	—
302	C₂×D₄	—	2	1	no	—
303	C₂×D₄	—	4	1	no	—
304	C₂×D₄	#10625334	1	4	yes	—
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	—	4	1	no	—
310	C₂²×C₄	—	8	2	no	—
311	C₂²×C₄	—	188	1	no	—
312	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
313	C₂²×C₄	#10625352	1	1	yes	characteristic
314	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
315	SD₁₆	—	4	4	no	—
316	SD₁₆	—	188	8	no	—
317	D₈	—	4	4	no	—
318	M₁₆	—	4	2	no	—
319	C₂×C₈	—	2	2	no	—
320	C₂×C₈	—	47	4	no	—
321	C₂×C₈	—	94	2	no	—
322	C₂×C₈	—	94	2	no	—
323	C₂×C₈	—	376	4	no	—
324	C₂×C₈	—	188	2	no	—
325	C₄⋊C₄	—	2	1	no	—
326	C₄⋊C₄	—	2	1	no	—
327	C₄⋊C₄	—	2	1	no	—
328	C₄⋊C₄	—	94	2	no	—
329	C₄⋊C₄	—	94	2	no	—
330	C₄⋊C₄	—	188	1	no	—
331	C₄⋊C₄	—	188	1	no	—
332	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
333	C₂²⋊C₄	—	2	2	no	—
334	C₂²⋊C₄	—	2	2	no	—
335	C₂²⋊C₄	—	4	1	no	—
336	C₂²⋊C₄	—	4	1	no	—
337	C₄²	D₄×D₄₇	1	1	yes	characteristic
338	C₄²	#10625352	1	1	yes	characteristic
339	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
340	C₄²	C₂³×D₄₇	1	1	yes	characteristic
341	C₂³	—	2	2	no	—
342	C₂³	—	2	4	no	—
343	C₂³	—	4	1	no	—
344	C₂³	—	8	1	no	—
345	C₂³	—	8	1	no	—
346	C₂³	#13093996	1	1	yes	characteristic
347	Q₈	—	4	1	no	—
348	Q₈	—	4	1	no	—
349	Q₈	—	376	2	no	—
350	Q₈	—	188	2	no	—
351	Q₈	—	188	2	no	—
352	D₄	—	2	4	no	—
353	D₄	—	2	2	no	—
354	D₄	—	4	1	no	—
355	D₄	—	4	1	no	—
356	D₄	—	4	2	no	—
357	D₄	—	8	1	no	—
358	D₄	—	8	2	no	—
359	D₄	C₂×#10625334	1	4	yes	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	4	1	no	—
363	C₂×C₄	—	4	4	no	—
364	C₂×C₄	—	4	1	no	—
365	C₂×C₄	—	8	2	no	—
366	C₂×C₄	—	8	1	no	—
367	C₂×C₄	—	8	2	no	—
368	C₂×C₄	—	376	2	no	—
369	C₂×C₄	—	188	2	no	—
370	C₂×C₄	#13093996	1	1	yes	characteristic
371	C₂×C₄	#13093996	1	1	yes	characteristic
372	C₂×C₄	#13093996	1	1	yes	characteristic
373	C₂×C₄	C₂×#10625334	1	2	yes	—
374	C₂×C₄	#13094044	1	2	yes	—
375	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
376	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
377	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
378	C₈	—	4	2	no	—
379	C₈	—	94	4	no	—
380	C₈	—	188	2	no	—
381	C₈	—	188	2	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	4	no	—
385	C₂²	—	4	2	no	—
386	C₂²	—	4	2	no	—
387	C₂²	—	8	4	no	—
388	C₂²	—	8	1	no	—
389	C₂²	—	8	1	no	—
390	C₂²	—	8	1	no	—
391	C₂²	#15689357	1	2	yes	—
392	C₂²	C₂×#13093996	1	1	yes	characteristic
393	C₄	—	2	1	no	—
394	C₄	—	2	1	no	—
395	C₄	—	2	1	no	—
396	C₄	—	4	2	no	—
397	C₄	—	8	1	no	—
398	C₄	—	376	2	no	—
399	C₄	#15689357	1	2	yes	—
400	C₄	C₂²×#10625334	1	1	yes	characteristic
401	C₄	C₂×#13094044	1	1	yes	characteristic
402	C₄	#15689933	1	2	yes	—
403	C₂	—	2	2	no	—
404	C₂	—	4	4	no	—
405	C₂	—	16	1	no	—
406	C₂	#20252902	1	1	yes	characteristic
407	C₂	C₂×#15689357	1	1	yes	characteristic
408	C₂	#20253127	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093996
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting, prime radical	C₄₇×#3036	C₂
socle	C₂²×C₄₇	C₂×#121
hypercenter	#3036	D₄₇
hypocenter	C₄₇	#19392
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3036

Complements

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

N	H ≅ G/N	type
1. #20254506	C₂	semidirect
2. C₂×#15689328	C₂	semidirect
3. #20252412	C₂	semidirect
4. #20242823	C₂	semidirect
5. #20242775	C₂	semidirect
6. #20242164	C₂	semidirect
7. #20242061	C₂	semidirect
8. #20242037	C₂	semidirect
12. #15689526	C₂²	semidirect
13. #15689469	C₂²	semidirect
25. #15688875	C₂²	semidirect
26. #15688870	C₂²	semidirect
27. #15688869	C₂²	semidirect
28. #15688867	C₂²	semidirect
241. C₄₇	#19392	semidirect

Maximal subgroups

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

subgroup	index
#20254506	2
C₂×#15689328	2
#20252412	2
#20242823	2
#20242775	2
#20242164	2
#20242061	2
#20242037	2
C₄₇×#3036	2
#19392	47