Subgroups — #28407442

Order 14464.

412 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20299632	C₂	1	1	yes	maximal, characteristic, complemented
2	#20299631	C₂	1	1	yes	maximal, characteristic, complemented
3	#20299630	C₂	1	1	yes	maximal, characteristic, complemented
4	#20299628	C₂	1	1	yes	maximal, characteristic, complemented
5	#20299628	C₂	1	1	yes	maximal, characteristic, complemented
6	#20299627	C₂	1	1	yes	maximal, characteristic, complemented
7	#20299626	C₂	1	1	yes	maximal, characteristic, complemented
8	#20299625	C₂	1	1	yes	maximal, characteristic, complemented
9	#20299622	C₂	1	1	yes	maximal, characteristic, complemented
10	#20299622	C₂	1	1	yes	maximal, characteristic, complemented
11	#20299572	C₂	1	1	yes	maximal, characteristic, complemented
12	#20299571	C₂	1	1	yes	maximal, characteristic, complemented
13	#20299569	C₂	1	1	yes	maximal, characteristic, complemented
14	#20299566	C₂	1	1	yes	maximal, characteristic, complemented
15	#20299106	C₂	1	1	yes	maximal, characteristic
16	C₂×#14268657	C₂²	1	1	yes	characteristic
17	C₂×#14268657	C₂²	1	1	yes	characteristic
18	C₂×#14268657	C₂²	1	1	yes	characteristic, complemented
19	C₂×#14268656	C₂²	1	1	yes	characteristic, complemented
20	C₂×#14268655	C₂²	1	1	yes	characteristic
21	C₂×#14268655	C₂²	1	1	yes	characteristic
22	C₂×#14268655	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#11744753	C₂²	1	1	yes	characteristic, complemented
24	#16813689	C₂²	1	1	yes	characteristic, complemented
25	#16813689	C₂²	1	1	yes	characteristic, complemented
26	C₄⋊#11744753	C₂²	1	1	yes	characteristic, complemented
27	C₄⋊#11744753	C₂²	1	1	yes	characteristic, complemented
28	#16813679	C₂²	1	1	yes	characteristic
29	#16813679	C₂²	1	1	yes	characteristic
30	#16813679	C₂²	1	1	yes	characteristic
31	#16813679	C₂²	1	1	yes	characteristic
32	#16813679	C₂²	1	1	yes	characteristic, complemented
33	#16813679	C₂²	1	1	yes	characteristic, complemented
34	C₂²⋊#11744753	C₂²	1	1	yes	characteristic
35	C₂²⋊#11744753	C₂²	1	1	yes	characteristic
36	C₂²⋊#11744753	C₂²	1	1	yes	characteristic
37	C₂²⋊#11744753	C₂²	1	1	yes	characteristic
38	C₂²⋊#11744753	C₂²	1	1	yes	characteristic, complemented
39	C₂²⋊#11744753	C₂²	1	1	yes	characteristic, complemented
40	#16813677	C₂²	1	1	yes	characteristic, complemented
41	#16813677	C₂²	1	1	yes	characteristic, complemented
42	C₄×#11744753	C₂²	1	1	yes	characteristic, complemented
43	C₄×#11744753	C₂²	1	1	yes	characteristic, complemented
44	C₂×#14268646	C₂²	1	1	yes	characteristic
45	C₂²×C₄×D₁₁₃	C₂²	1	1	yes	characteristic
46	#16813605	C₄	1	1	yes	characteristic
47	#16813600	C₄	1	1	yes	characteristic
48	#16813600	C₄	1	1	yes	characteristic
49	#16813595	C₄	1	1	yes	characteristic
50	#16813595	C₄	1	1	yes	characteristic
51	#16813592	C₄	1	1	yes	characteristic
52	#16813590	C₄	1	1	yes	characteristic
53	#16813584	C₂²	1	1	yes	characteristic
54	#16813584	C₂²	1	1	yes	characteristic
55	#16813582	C₂²	1	1	yes	characteristic
56	#16813582	C₂²	1	1	yes	characteristic
57	#16813578	C₂²	1	1	yes	characteristic
58	#123×C₁₁₃	C₄	1	1	yes	characteristic
59	#14268657	—	4	1	no	—
60	#14268657	—	4	1	no	—
61	#14268657	—	4	1	no	—
62	#14268656	—	4	1	no	—
63	#14268655	—	4	1	no	—
64	#14268655	—	4	1	no	—
65	#14268655	—	4	1	no	—
66	C₂×#11744753	—	4	1	no	—
67	C₂×#11744753	C₂³	1	1	yes	characteristic
68	C₂×#11744753	C₂³	1	1	yes	characteristic
69	C₂×#11744753	C₂³	1	1	yes	characteristic
70	C₂×#11744753	C₂³	1	1	yes	characteristic
71	C₂×#11744753	C₂³	1	1	yes	characteristic
72	C₂×#11744753	C₂³	1	1	yes	characteristic
73	C₂×#11744753	C₂³	1	1	yes	characteristic
74	C₂×#11744753	C₂³	1	1	yes	characteristic
75	C₂³×D₁₁₃	C₂×C₄	1	1	yes	characteristic
76	#14268646	—	4	1	no	—
77	#14268646	—	4	1	no	—
78	C₂×Dic₂₂₆	C₂×C₄	1	1	yes	characteristic
79	C₂×D₄₅₂	C₂×C₄	1	1	yes	characteristic
80	C₂×D₄₅₂	C₂×C₄	1	1	yes	characteristic
81	C₂×C₂²⋊D₁₁₃	C₂×C₄	1	1	yes	characteristic
82	C₂×C₂²⋊D₁₁₃	C₂×C₄	1	1	yes	characteristic
83	C₂×C₂²⋊D₁₁₃	C₂×C₄	1	1	yes	characteristic
84	C₂×C₂²⋊D₁₁₃	C₂×C₄	1	1	yes	characteristic
85	C₂²×Dic₁₁₃	C₂³	1	1	yes	characteristic
86	C₂²×Dic₁₁₃	C₂³	1	1	yes	characteristic
87	C₂×C₄×D₁₁₃	—	4	1	no	—
88	C₂×C₄×D₁₁₃	—	4	1	no	—
89	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
90	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
91	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
92	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
93	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
94	#14268626	C₂×C₄	1	1	yes	characteristic
95	#14268626	C₂×C₄	1	1	yes	characteristic
96	#14268626	C₂×C₄	1	1	yes	characteristic
97	#14268626	C₂×C₄	1	1	yes	characteristic
98	C₂²⋊Dic₁₁₃	C₂×C₄	1	1	yes	characteristic
99	#14268624	C₂×C₄	1	1	yes	characteristic
100	#14268624	C₂×C₄	1	1	yes	characteristic
101	#14268624	C₂×C₄	1	1	yes	characteristic
102	#14268624	C₂×C₄	1	1	yes	characteristic
103	#14268624	C₂×C₄	1	1	yes	characteristic
104	#14268624	C₂×C₄	1	1	yes	characteristic
105	C₄×Dic₁₁₃	C₂³	1	1	yes	characteristic
106	C₄×Dic₁₁₃	C₂³	1	1	yes	characteristic
107	C₂×D₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
108	C₂²×C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
109	C₄⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
110	C₄⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
111	C₂²⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
112	C₂²⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
113	C₂²⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
114	C₂³×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
115	C₂³×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₂²×D₁₁₃	—	2	2	no	—
117	C₂²×D₁₁₃	—	4	1	no	—
118	C₂²×D₁₁₃	—	4	1	no	—
119	C₂²×D₁₁₃	C₂²×C₄	1	1	yes	characteristic
120	C₂²×D₁₁₃	C₂²×C₄	1	1	yes	characteristic
121	C₂²×D₁₁₃	C₂²×C₄	1	1	yes	characteristic
122	D₄×C₁₁₃	—	4	1	no	—
123	C₂×C₄×C₁₁₃	—	4	1	no	—
124	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
125	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
126	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
127	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
128	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
129	C₂²⋊D₁₁₃	—	2	2	no	—
130	C₂²⋊D₁₁₃	—	4	1	no	—
131	C₂²⋊D₁₁₃	—	4	1	no	—
132	C₂²⋊D₁₁₃	—	4	1	no	—
133	C₂×Dic₁₁₃	—	2	1	no	—
134	C₂×Dic₁₁₃	—	2	1	no	—
135	C₂×Dic₁₁₃	—	2	1	no	—
136	C₂×Dic₁₁₃	—	2	1	no	—
137	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
138	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
139	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
140	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
141	C₂×Dic₁₁₃	C₂⁴	1	1	yes	characteristic
142	D₄₅₂	—	2	2	no	—
143	D₄₅₂	—	4	1	no	—
144	C₄×D₁₁₃	—	2	1	no	—
145	C₄×D₁₁₃	—	2	1	no	—
146	C₄×D₁₁₃	—	2	1	no	—
147	C₄×D₁₁₃	—	2	1	no	—
148	C₄×D₁₁₃	—	2	1	no	—
149	C₄×D₁₁₃	—	2	1	no	—
150	C₄×D₁₁₃	—	4	1	no	—
151	C₄×D₁₁₃	—	4	1	no	—
152	Dic₂₂₆	—	4	1	no	—
153	#11744753	—	2	1	no	—
154	#11744753	—	2	1	no	—
155	#11744753	—	2	1	no	—
156	#11744753	—	2	1	no	—
157	#11744753	—	2	1	no	—
158	#11744753	—	2	1	no	—
159	#11744753	—	2	1	no	—
160	#11744753	—	2	1	no	—
161	C₂²×C₁₁₃	—	2	1	no	—
162	C₂²×C₁₁₃	—	2	1	no	—
163	C₂²×C₁₁₃	—	2	1	no	—
164	C₂²×C₁₁₃	—	2	1	no	—
165	C₂²×C₁₁₃	—	2	1	no	—
166	C₂²×C₁₁₃	—	2	1	no	—
167	C₂²×C₁₁₃	C₂³×C₄	1	1	yes	characteristic
168	C₂×D₁₁₃	—	2	1	no	—
169	C₂×D₁₁₃	—	2	1	no	—
170	C₂×D₁₁₃	—	2	1	no	—
171	C₂×D₁₁₃	—	2	1	no	—
172	C₂×D₁₁₃	—	2	1	no	—
173	C₂×D₁₁₃	—	2	1	no	—
174	C₂×D₁₁₃	—	2	1	no	—
175	C₂×D₁₁₃	—	2	1	no	—
176	C₂×D₁₁₃	—	4	4	no	—
177	C₂×D₁₁₃	#131	1	2	yes	—
178	C₄×C₁₁₃	—	2	1	no	—
179	C₄×C₁₁₃	—	2	1	no	—
180	C₄×C₁₁₃	—	2	1	no	—
181	C₄×C₁₁₃	—	2	1	no	—
182	C₄×C₁₁₃	—	2	1	no	—
183	Dic₁₁₃	—	2	1	no	—
184	Dic₁₁₃	—	2	1	no	—
185	Dic₁₁₃	—	2	1	no	—
186	Dic₁₁₃	—	2	1	no	—
187	Dic₁₁₃	H(5,𝔽₂)	1	1	yes	characteristic
188	Dic₁₁₃	H(5,𝔽₂)	1	1	yes	characteristic
189	C₂×C₁₁₃	—	4	1	no	—
190	C₂×C₁₁₃	—	4	1	no	—
191	C₂×C₁₁₃	#518	1	1	yes	characteristic
192	C₂×C₁₁₃	C₂×#131	1	1	yes	characteristic
193	C₂×C₁₁₃	#568	1	1	yes	characteristic
194	D₁₁₃	—	2	2	no	—
195	D₁₁₃	—	4	1	no	—
196	D₁₁₃	—	4	1	no	—
197	#2976	—	113	1	no	maximal, Sylow
198	C₁₁₃	#2976	1	1	yes	characteristic, complemented, Sylow
199	#525	—	113	1	no	—
200	#436	—	113	1	no	—
201	#436	—	113	1	no	—
202	#435	—	113	1	no	—
203	#435	—	113	1	no	—
204	#435	—	113	1	no	—
205	#435	—	113	1	no	—
206	C₈×D₄	—	113	1	no	—
207	C₈×D₄	—	113	1	no	—
208	#433	—	113	1	no	—
209	#433	—	113	1	no	—
210	#408	—	113	1	no	—
211	#408	—	113	1	no	—
212	#407	—	113	1	no	—
213	C₂×C₂²⋊C₈	—	113	1	no	—
214	C₂×#41	—	113	1	no	—
215	C₂³×C₄	—	113	1	no	—
216	C₂×M₁₆	—	113	1	no	—
217	C₂×M₁₆	—	113	1	no	—
218	C₂×M₁₆	—	113	1	no	—
219	C₂×M₁₆	—	113	1	no	—
220	C₂²×C₈	—	113	1	no	—
221	C₂²×C₈	—	113	1	no	—
222	C₂²×C₈	—	113	1	no	—
223	C₂²×C₈	—	113	1	no	—
224	#123	—	113	1	no	—
225	#123	#90673	1	1	yes	characteristic
226	C₂²⋊Q₈	—	113	1	no	—
227	C₂²⋊Q₈	—	113	1	no	—
228	#121	—	113	1	no	—
229	#121	—	113	1	no	—
230	#120	—	113	1	no	—
231	#120	—	113	1	no	—
232	C₄×D₄	—	113	1	no	—
233	C₄×D₄	—	113	1	no	—
234	C₄×D₄	—	113	1	no	—
235	C₄×D₄	—	113	1	no	—
236	#117	—	113	1	no	—
237	C₄⋊C₈	—	113	1	no	—
238	C₄⋊C₈	—	113	1	no	—
239	C₄⋊C₈	—	113	1	no	—
240	C₄⋊C₈	—	113	1	no	—
241	C₂²⋊C₈	—	113	1	no	—
242	C₂²⋊C₈	—	113	1	no	—
243	C₂²⋊C₈	—	113	1	no	—
244	C₂²⋊C₈	—	113	1	no	—
245	C₂²⋊C₈	—	113	1	no	—
246	C₂²⋊C₈	—	113	1	no	—
247	C₂²⋊C₈	—	113	1	no	—
248	C₂²⋊C₈	—	113	1	no	—
249	C₂²⋊C₈	—	113	1	no	—
250	C₂²⋊C₈	—	113	1	no	—
251	C₂²⋊C₈	—	113	1	no	—
252	C₂²⋊C₈	—	113	1	no	—
253	#97	—	113	1	no	—
254	#97	—	113	1	no	—
255	C₄×C₈	—	113	1	no	—
256	C₄×C₈	—	113	1	no	—
257	C₂⁴	—	113	1	no	—
258	#41	—	452	1	no	—
259	#41	—	452	1	no	—
260	C₂×Q₈	—	113	1	no	—
261	C₂×D₄	—	113	1	no	—
262	C₂×D₄	—	113	1	no	—
263	C₂×D₄	—	113	1	no	—
264	C₂×D₄	—	113	1	no	—
265	C₂×D₄	—	113	1	no	—
266	C₂×D₄	—	113	1	no	—
267	C₂×D₄	C₂×#90673	1	1	yes	characteristic
268	C₂²×C₄	—	113	1	no	—
269	C₂²×C₄	—	113	1	no	—
270	C₂²×C₄	—	113	1	no	—
271	C₂²×C₄	—	113	1	no	—
272	C₂²×C₄	—	113	1	no	—
273	C₂²×C₄	—	113	1	no	—
274	C₂²×C₄	—	113	1	no	—
275	C₂²×C₄	—	452	1	no	—
276	C₂²×C₄	—	452	1	no	—
277	C₂²×C₄	C₂×#90673	1	1	yes	characteristic
278	M₁₆	—	452	1	no	—
279	M₁₆	—	452	1	no	—
280	M₁₆	—	452	1	no	—
281	M₁₆	—	452	1	no	—
282	C₂×C₈	—	113	1	no	—
283	C₂×C₈	—	113	1	no	—
284	C₂×C₈	—	113	1	no	—
285	C₂×C₈	—	113	1	no	—
286	C₂×C₈	—	113	1	no	—
287	C₂×C₈	—	113	1	no	—
288	C₂×C₈	—	113	1	no	—
289	C₂×C₈	—	113	1	no	—
290	C₂×C₈	—	452	1	no	—
291	C₂×C₈	—	452	1	no	—
292	C₂×C₈	—	452	1	no	—
293	C₂×C₈	—	452	1	no	—
294	C₄⋊C₄	—	113	1	no	—
295	C₄⋊C₄	—	113	1	no	—
296	C₄⋊C₄	—	113	1	no	—
297	C₄⋊C₄	—	113	1	no	—
298	C₄⋊C₄	C₂×#90673	1	1	yes	characteristic
299	C₄⋊C₄	C₂×#90673	1	1	yes	characteristic
300	C₂²⋊C₄	—	113	1	no	—
301	C₂²⋊C₄	—	113	1	no	—
302	C₂²⋊C₄	—	113	1	no	—
303	C₂²⋊C₄	—	113	1	no	—
304	C₂²⋊C₄	—	113	1	no	—
305	C₂²⋊C₄	—	113	1	no	—
306	C₂²⋊C₄	—	113	1	no	—
307	C₂²⋊C₄	C₂×#90673	1	1	yes	characteristic
308	C₂²⋊C₄	C₂×#90673	1	1	yes	characteristic
309	C₂²⋊C₄	C₂×#90673	1	1	yes	characteristic
310	C₄²	—	113	1	no	—
311	C₄²	—	113	1	no	—
312	C₂³	—	113	1	no	—
313	C₂³	—	113	1	no	—
314	C₂³	—	113	1	no	—
315	C₂³	—	452	1	no	—
316	C₂³	—	452	1	no	—
317	C₂³	—	226	2	no	—
318	C₂³	C₂²×#90673	1	1	yes	characteristic
319	C₂³	C₂²×#90673	1	1	yes	characteristic
320	Q₈	—	452	1	no	—
321	D₄	—	4	1	no	—
322	D₄	—	452	1	no	—
323	D₄	—	452	1	no	—
324	D₄	—	452	1	no	—
325	D₄	—	452	1	no	—
326	D₄	—	226	2	no	—
327	D₄	—	226	2	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	113	1	no	—
330	C₂×C₄	—	113	1	no	—
331	C₂×C₄	—	113	1	no	—
332	C₂×C₄	—	113	1	no	—
333	C₂×C₄	—	113	1	no	—
334	C₂×C₄	—	452	1	no	—
335	C₂×C₄	—	452	1	no	—
336	C₂×C₄	—	226	1	no	—
337	C₂×C₄	—	226	1	no	—
338	C₂×C₄	—	226	1	no	—
339	C₂×C₄	—	226	1	no	—
340	C₂×C₄	—	226	1	no	—
341	C₂×C₄	—	226	1	no	—
342	C₂×C₄	—	226	1	no	—
343	C₂×C₄	—	226	1	no	—
344	C₂×C₄	—	226	1	no	—
345	C₂×C₄	—	226	1	no	—
346	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
347	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
348	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
349	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
350	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
351	C₈	—	226	1	no	—
352	C₈	—	226	1	no	—
353	C₈	—	226	1	no	—
354	C₈	—	226	1	no	—
355	C₈	—	226	1	no	—
356	C₈	—	226	1	no	—
357	C₈	—	226	1	no	—
358	C₈	—	226	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	113	2	no	—
366	C₂²	—	452	4	no	—
367	C₂²	—	226	1	no	—
368	C₂²	—	226	1	no	—
369	C₂²	—	226	1	no	—
370	C₂²	—	226	1	no	—
371	C₂²	—	226	1	no	—
372	C₂²	—	226	1	no	—
373	C₂²	—	226	1	no	—
374	C₂²	—	226	1	no	—
375	C₂²	C₂³×#90673	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	2	1	no	—
379	C₄	—	2	1	no	—
380	C₄	—	2	1	no	—
381	C₄	—	113	1	no	—
382	C₄	—	113	1	no	—
383	C₄	—	226	1	no	—
384	C₄	—	226	1	no	—
385	C₄	—	226	1	no	—
386	C₄	—	226	1	no	—
387	C₂	—	4	1	no	—
388	C₂	—	4	1	no	—
389	C₂	—	452	1	no	—
390	C₂	—	452	1	no	—
391	C₂	—	226	2	no	—
392	C₂	#20299665	1	1	yes	characteristic
393	C₂	D₁₁₃⋊#131	1	1	yes	characteristic
394	C₂	#20299677	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×#90673
commutator, socle	C₂²×C₁₁₃	C₂³×C₄
Fitting	#123×C₁₁₃	C₄
prime radical	#20299106	C₂
cosocle	C₂×Dic₁₁₃	C₂⁴
hypercenter	#123	#90673
hypocenter	C₁₁₃	#2976
LCS	G ▷ C₂²×C₁₁₃ ▷ C₁₁₃
UCS	C₁ ◁ C₂² ◁ #123

Complements

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

N	H ≅ G/N	type
1. #20299632	C₂	semidirect
2. #20299631	C₂	semidirect
3. #20299630	C₂	semidirect
4. #20299628	C₂	semidirect
5. #20299628	C₂	semidirect
6. #20299627	C₂	semidirect
7. #20299626	C₂	semidirect
8. #20299625	C₂	semidirect
9. #20299622	C₂	semidirect
10. #20299622	C₂	semidirect
11. #20299572	C₂	semidirect
12. #20299571	C₂	semidirect
13. #20299569	C₂	semidirect
14. #20299566	C₂	semidirect
18. C₂×#14268657	C₂²	semidirect
19. C₂×#14268656	C₂²	semidirect
22. C₂×#14268655	C₂²	semidirect
23. C₂²×#11744753	C₂²	semidirect
24. #16813689	C₂²	semidirect
25. #16813689	C₂²	semidirect
26. C₄⋊#11744753	C₂²	semidirect
27. C₄⋊#11744753	C₂²	semidirect
32. #16813679	C₂²	semidirect
33. #16813679	C₂²	semidirect
38. C₂²⋊#11744753	C₂²	semidirect
39. C₂²⋊#11744753	C₂²	semidirect
40. #16813677	C₂²	semidirect
41. #16813677	C₂²	semidirect
42. C₄×#11744753	C₂²	semidirect
43. C₄×#11744753	C₂²	semidirect
198. C₁₁₃	#2976	semidirect

Maximal subgroups

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

subgroup	index
#20299632	2
#20299631	2
#20299630	2
#20299628	2
#20299627	2
#20299626	2
#20299625	2
#20299622	2
#20299572	2
#20299571	2
#20299569	2
#20299566	2
#20299106	2
#2976	113