Subgroups — D₁₁₃⋊#435 #28407282

Order 14464.

564 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₁₃⋊M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#14268655	C₂	1	1	yes	maximal, characteristic, complemented
3	#20299630	C₂	1	2	yes	maximal, complemented
4	#20299629	C₂	1	2	yes	maximal, complemented
5	#20299628	C₂	1	2	yes	maximal, complemented
6	#20299627	C₂	1	2	yes	maximal, complemented
7	#20299599	C₂	1	1	yes	maximal, characteristic, complemented
8	#20299566	C₂	1	1	yes	maximal, characteristic, complemented
9	#20299566	C₂	1	1	yes	maximal, characteristic, complemented
10	#20299557	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×D₄×D₁₁₃	C₂	1	1	yes	maximal, characteristic
12	C₂×#14268657	C₂²	1	2	yes	complemented
13	D₁₁₃⋊M₁₆	—	2	4	no	—
14	C₂×#14268656	C₂²	1	2	yes	complemented
15	C₂×#14268655	—	2	4	no	—
16	C₂×#14268655	C₂²	1	1	yes	characteristic
17	C₂×#14268655	C₂²	1	1	yes	characteristic
18	C₂×#14268655	C₂²	1	1	yes	characteristic
19	C₂×#14268655	C₂²	1	1	yes	characteristic
20	C₂×#14268655	C₂²	1	2	yes	complemented
21	C₂²×#11744753	C₂²	1	2	yes	complemented
22	#16813689	C₂²	1	2	yes	complemented
23	C₄⋊#11744753	C₂²	1	2	yes	complemented
24	#16813679	C₂²	1	2	yes	complemented
25	#16813679	C₂²	1	2	yes	complemented
26	C₂²⋊#11744753	C₂²	1	2	yes	complemented
27	C₂²⋊#11744753	C₂²	1	2	yes	complemented
28	#16813677	C₂²	1	2	yes	complemented
29	#16813677	C₂²	1	2	yes	complemented
30	C₂×D₄×D₁₁₃	C₄	1	1	yes	characteristic
31	C₂²×C₄×D₁₁₃	C₂²	1	1	yes	characteristic
32	C₂²×C₄×D₁₁₃	C₂²	1	1	yes	characteristic
33	C₄×D₄₅₂	C₄	1	1	yes	characteristic
34	D₄×Dic₁₁₃	C₂²	1	1	yes	characteristic
35	#16813584	C₂²	1	1	yes	characteristic
36	C₄×C₂²⋊D₁₁₃	C₄	1	1	yes	characteristic
37	C₄×C₂²⋊D₁₁₃	C₄	1	1	yes	characteristic
38	#16813582	C₂²	1	1	yes	characteristic
39	#16813582	C₂²	1	1	yes	characteristic
40	C₄⋊C₄×D₁₁₃	C₄	1	1	yes	characteristic
41	C₂²⋊C₄×D₁₁₃	C₄	1	1	yes	characteristic
42	C₂²⋊C₄×D₁₁₃	C₄	1	1	yes	characteristic
43	C₄²×D₁₁₃	C₂²	1	1	yes	characteristic
44	C₄×D₄×C₁₁₃	C₄	1	1	yes	characteristic
45	#14268657	—	2	4	no	—
46	#14268656	—	2	4	no	—
47	#14268655	—	2	2	no	—
48	#14268655	—	2	2	no	—
49	#14268655	—	2	2	no	—
50	#14268655	—	2	4	no	—
51	#14268655	D₄	1	4	yes	complemented
52	C₂×#11744753	—	2	4	no	—
53	C₂×#11744753	C₂³	1	2	yes	—
54	C₂×#11744753	C₂³	1	2	yes	—
55	C₂×#11744753	C₂³	1	2	yes	—
56	C₂×#11744753	C₂³	1	2	yes	—
57	C₂³×D₁₁₃	C₂×C₄	1	1	yes	characteristic
58	C₂³×D₁₁₃	C₂×C₄	1	1	yes	characteristic
59	C₂×D₄₅₂	C₂×C₄	1	1	yes	characteristic
60	C₂×C₂²⋊D₁₁₃	C₂×C₄	1	1	yes	characteristic
61	C₂×C₂²⋊D₁₁₃	C₂×C₄	1	1	yes	characteristic
62	D₄×D₁₁₃	—	2	4	no	—
63	C₂²×Dic₁₁₃	C₂³	1	1	yes	characteristic
64	C₂²×Dic₁₁₃	C₂³	1	1	yes	characteristic
65	C₂×C₄×D₁₁₃	—	2	2	no	—
66	C₂×C₄×D₁₁₃	—	2	2	no	—
67	C₂×C₄×D₁₁₃	—	2	2	no	—
68	C₂×C₄×D₁₁₃	—	2	2	no	—
69	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
70	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
71	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
72	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
73	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
74	C₂×C₄×D₁₁₃	C₂×C₄	1	1	yes	characteristic
75	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
76	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
77	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
78	C₄⋊Dic₁₁₃	C₂×C₄	1	1	yes	characteristic
79	#14268626	C₂×C₄	1	1	yes	characteristic
80	#14268626	C₂×C₄	1	1	yes	characteristic
81	C₂²⋊Dic₁₁₃	C₂×C₄	1	1	yes	characteristic
82	C₂²⋊Dic₁₁₃	C₂×C₄	1	1	yes	characteristic
83	#14268624	C₂×C₄	1	1	yes	characteristic
84	#14268624	C₂×C₄	1	1	yes	characteristic
85	#14268624	C₂×C₄	1	1	yes	characteristic
86	#14268624	C₂×C₄	1	1	yes	characteristic
87	C₄×Dic₁₁₃	C₂×C₄	1	1	yes	characteristic
88	C₄×Dic₁₁₃	C₂³	1	1	yes	characteristic
89	C₄×Dic₁₁₃	C₂³	1	1	yes	characteristic
90	C₂×D₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
93	C₄⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
94	C₂²⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
95	C₂²⋊C₄×C₁₁₃	C₂×C₄	1	1	yes	characteristic
96	C₄²×C₁₁₃	C₂×C₄	1	1	yes	characteristic
97	C₂³×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
98	C₂³×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
99	C₂²×D₁₁₃	—	2	2	no	—
100	C₂²×D₁₁₃	—	2	2	no	—
101	C₂²×D₁₁₃	—	2	2	no	—
102	C₂²×D₁₁₃	—	2	2	no	—
103	C₂²×D₁₁₃	—	2	2	no	—
104	C₂²×D₁₁₃	M₁₆	1	4	yes	complemented
105	C₂²×D₁₁₃	C₂²×C₄	1	1	yes	characteristic
106	C₂²×D₁₁₃	C₂²×C₄	1	1	yes	characteristic
107	C₂²×D₁₁₃	C₂²×C₄	1	1	yes	characteristic
108	D₄×C₁₁₃	—	2	2	no	—
109	C₂×C₄×C₁₁₃	—	2	2	no	—
110	C₂×C₄×C₁₁₃	—	2	2	no	—
111	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
114	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
115	C₂×C₄×C₁₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₂²⋊D₁₁₃	—	2	2	no	—
117	C₂²⋊D₁₁₃	—	2	2	no	—
118	C₂×Dic₁₁₃	—	2	1	no	—
119	C₂×Dic₁₁₃	—	2	1	no	—
120	C₂×Dic₁₁₃	—	2	1	no	—
121	C₂×Dic₁₁₃	—	2	1	no	—
122	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
123	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
124	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
125	C₂×Dic₁₁₃	C₂²×C₄	1	1	yes	characteristic
126	C₂×Dic₁₁₃	C₂⁴	1	1	yes	characteristic
127	D₄₅₂	—	2	2	no	—
128	C₄×D₁₁₃	—	2	2	no	—
129	C₄×D₁₁₃	—	2	2	no	—
130	C₄×D₁₁₃	—	2	2	no	—
131	C₄×D₁₁₃	—	2	2	no	—
132	C₄×D₁₁₃	—	2	2	no	—
133	C₄×D₁₁₃	—	2	2	no	—
134	C₄×D₁₁₃	—	2	1	no	—
135	C₄×D₁₁₃	—	2	1	no	—
136	C₄×D₁₁₃	—	2	1	no	—
137	C₄×D₁₁₃	—	2	1	no	—
138	C₄×D₁₁₃	C₂×D₄	1	2	yes	—
139	C₄×D₁₁₃	#41	1	2	yes	—
140	#11744753	—	2	2	no	—
141	#11744753	—	2	2	no	—
142	#11744753	—	2	2	no	—
143	#11744753	C₂×D₄	1	4	yes	complemented
144	C₂²×C₁₁₃	—	2	1	no	—
145	C₂²×C₁₁₃	—	2	1	no	—
146	C₂²×C₁₁₃	—	2	1	no	—
147	C₂²×C₁₁₃	—	2	1	no	—
148	C₂²×C₁₁₃	—	2	1	no	—
149	C₂²×C₁₁₃	C₂×M₁₆	1	2	yes	complemented
150	C₂²×C₁₁₃	C₂³×C₄	1	1	yes	characteristic
151	C₂×D₁₁₃	—	2	1	no	—
152	C₂×D₁₁₃	—	2	1	no	—
153	C₂×D₁₁₃	—	2	8	no	—
154	C₂×D₁₁₃	—	2	1	no	—
155	C₂×D₁₁₃	—	2	1	no	—
156	C₂×D₁₁₃	—	2	1	no	—
157	C₂×D₁₁₃	—	4	4	no	—
158	C₂×D₁₁₃	C₄×D₄	1	2	yes	—
159	C₂×D₁₁₃	C₂×M₁₆	1	2	yes	—
160	C₂×D₁₁₃	C₂×M₁₆	1	2	yes	complemented
161	C₂×D₁₁₃	#131	1	2	yes	—
162	C₄×C₁₁₃	—	2	1	no	—
163	C₄×C₁₁₃	—	2	1	no	—
164	C₄×C₁₁₃	—	2	1	no	—
165	C₄×C₁₁₃	—	2	1	no	—
166	C₄×C₁₁₃	C₄×D₄	1	2	yes	—
167	Dic₁₁₃	—	2	1	no	—
168	Dic₁₁₃	—	2	1	no	—
169	Dic₁₁₃	—	2	1	no	—
170	Dic₁₁₃	—	2	1	no	—
171	Dic₁₁₃	C₂²×D₄	1	1	yes	characteristic
172	Dic₁₁₃	C₂×#41	1	1	yes	characteristic
173	C₂×C₁₁₃	—	2	2	no	—
174	C₂×C₁₁₃	—	4	1	no	—
175	C₂×C₁₁₃	C₂×C₄×D₄	1	1	yes	characteristic
176	C₂×C₁₁₃	C₂²×M₁₆	1	1	yes	characteristic
177	C₂×C₁₁₃	C₂×#131	1	1	yes	characteristic
178	D₁₁₃	—	2	2	no	—
179	D₁₁₃	—	4	1	no	—
180	D₁₁₃	#435	1	4	yes	complemented
181	C₂×#435	—	113	1	no	maximal, Sylow
182	C₁₁₃	C₂×#435	1	1	yes	characteristic, complemented, Sylow
183	C₂²×M₁₆	—	113	1	no	—
184	C₂³×C₈	—	113	1	no	—
185	C₂×C₄×D₄	—	113	1	no	—
186	#435	—	113	2	no	—
187	#435	—	113	2	no	—
188	#435	—	113	2	no	—
189	#435	—	113	2	no	—
190	C₂×C₄⋊C₈	—	113	1	no	—
191	C₂×C₂²⋊C₈	—	113	1	no	—
192	C₂×C₂²⋊C₈	—	113	1	no	—
193	C₂×#97	—	113	1	no	—
194	C₂²×D₄	—	113	1	no	—
195	C₂³×C₄	—	113	1	no	—
196	C₂³×C₄	—	113	1	no	—
197	C₂×M₁₆	—	113	2	no	—
198	C₂×M₁₆	—	113	2	no	—
199	C₂×M₁₆	—	226	4	no	—
200	C₂²×C₈	—	113	1	no	—
201	C₂²×C₈	—	113	2	no	—
202	C₂²×C₈	—	113	1	no	—
203	C₂²×C₈	—	113	2	no	—
204	C₂²×C₈	—	113	1	no	—
205	C₂²×C₈	—	113	1	no	—
206	C₂²×C₈	—	226	4	no	—
207	C₄×D₄	—	113	1	no	—
208	C₄×D₄	—	113	1	no	—
209	C₄×D₄	—	113	1	no	—
210	C₄×D₄	—	113	1	no	—
211	C₄×D₄	—	113	1	no	—
212	C₄×D₄	—	113	1	no	—
213	C₄×D₄	—	113	1	no	—
214	C₄×D₄	#90673	1	1	yes	characteristic
215	C₂×C₄⋊C₄	—	113	1	no	—
216	C₂×C₂²⋊C₄	—	113	1	no	—
217	C₂×C₂²⋊C₄	—	113	1	no	—
218	C₂×C₄²	—	113	1	no	—
219	C₄⋊C₈	—	113	2	no	—
220	C₄⋊C₈	—	113	2	no	—
221	C₂²⋊C₈	—	113	2	no	—
222	C₂²⋊C₈	—	113	2	no	—
223	C₂²⋊C₈	—	113	2	no	—
224	C₂²⋊C₈	—	113	2	no	—
225	#97	—	113	2	no	—
226	#97	—	113	2	no	—
227	C₂⁴	—	113	1	no	—
228	C₂⁴	—	113	1	no	—
229	C₂×D₄	—	113	1	no	—
230	C₂×D₄	—	113	1	no	—
231	C₂×D₄	—	113	1	no	—
232	C₂×D₄	—	226	4	no	—
233	C₂×D₄	C₂×#90673	1	1	yes	characteristic
234	C₂²×C₄	—	113	1	no	—
235	C₂²×C₄	—	113	1	no	—
236	C₂²×C₄	—	113	1	no	—
237	C₂²×C₄	—	113	1	no	—
238	C₂²×C₄	—	113	1	no	—
239	C₂²×C₄	—	113	1	no	—
240	C₂²×C₄	—	113	1	no	—
241	C₂²×C₄	—	113	1	no	—
242	C₂²×C₄	—	113	1	no	—
243	C₂²×C₄	—	113	1	no	—
244	C₂²×C₄	—	113	1	no	—
245	C₂²×C₄	—	226	2	no	—
246	C₂²×C₄	—	226	2	no	—
247	C₂²×C₄	—	226	2	no	—
248	C₂²×C₄	—	226	2	no	—
249	C₂²×C₄	C₂×#90673	1	1	yes	characteristic
250	C₂²×C₄	C₂×#90673	1	1	yes	characteristic
251	M₁₆	—	226	4	no	—
252	M₁₆	—	226	4	no	—
253	C₂×C₈	—	113	2	no	—
254	C₂×C₈	—	113	4	no	—
255	C₂×C₈	—	113	2	no	—
256	C₂×C₈	—	113	2	no	—
257	C₂×C₈	—	113	2	no	—
258	C₂×C₈	—	226	4	no	—
259	C₂×C₈	—	226	4	no	—
260	C₂×C₈	—	226	2	no	—
261	C₂×C₈	—	226	2	no	—
262	C₂×C₈	—	226	2	no	—
263	C₄⋊C₄	—	113	1	no	—
264	C₄⋊C₄	—	113	1	no	—
265	C₄⋊C₄	—	113	1	no	—
266	C₄⋊C₄	C₂×#90673	1	1	yes	characteristic
267	C₂²⋊C₄	—	113	1	no	—
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	C₂×#90673	1	1	yes	characteristic
274	C₂²⋊C₄	C₂×#90673	1	1	yes	characteristic
275	C₄²	—	113	1	no	—
276	C₄²	—	113	1	no	—
277	C₄²	—	113	1	no	—
278	C₄²	C₂×#90673	1	1	yes	characteristic
279	C₂³	—	113	1	no	—
280	C₂³	—	113	4	no	—
281	C₂³	—	113	1	no	—
282	C₂³	—	113	1	no	—
283	C₂³	—	226	2	no	—
284	C₂³	—	226	2	no	—
285	C₂³	—	226	2	no	—
286	C₂³	—	226	2	no	—
287	C₂³	—	226	2	no	—
288	C₂³	C₂²×#90673	1	1	yes	characteristic
289	C₂³	C₂²×#90673	1	1	yes	characteristic
290	D₄	—	2	2	no	—
291	D₄	—	226	2	no	—
292	D₄	—	226	2	no	—
293	D₄	—	226	2	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	113	1	no	—
297	C₂×C₄	—	113	2	no	—
298	C₂×C₄	—	113	2	no	—
299	C₂×C₄	—	113	1	no	—
300	C₂×C₄	—	113	1	no	—
301	C₂×C₄	—	113	1	no	—
302	C₂×C₄	—	113	1	no	—
303	C₂×C₄	—	226	1	no	—
304	C₂×C₄	—	226	1	no	—
305	C₂×C₄	—	226	1	no	—
306	C₂×C₄	—	226	1	no	—
307	C₂×C₄	—	226	2	no	—
308	C₂×C₄	—	226	2	no	—
309	C₂×C₄	—	226	2	no	—
310	C₂×C₄	—	226	2	no	—
311	C₂×C₄	—	226	1	no	—
312	C₂×C₄	—	226	1	no	—
313	C₂×C₄	—	226	1	no	—
314	C₂×C₄	—	226	1	no	—
315	C₂×C₄	—	226	2	no	—
316	C₂×C₄	—	226	2	no	—
317	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
318	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
319	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
320	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
321	C₂×C₄	C₂²×#90673	1	1	yes	characteristic
322	C₈	—	113	4	no	—
323	C₈	—	226	2	no	—
324	C₈	—	226	2	no	—
325	C₈	—	226	2	no	—
326	C₂²	—	2	1	no	—
327	C₂²	—	2	1	no	—
328	C₂²	—	2	1	no	—
329	C₂²	—	2	1	no	—
330	C₂²	—	2	1	no	—
331	C₂²	—	113	2	no	—
332	C₂²	—	113	2	no	—
333	C₂²	—	113	2	no	—
334	C₂²	—	113	2	no	—
335	C₂²	—	452	4	no	—
336	C₂²	—	226	8	no	—
337	C₂²	—	226	1	no	—
338	C₂²	—	226	1	no	—
339	C₂²	—	226	1	no	—
340	C₂²	—	226	1	no	—
341	C₂²	—	226	1	no	—
342	C₂²	D₁₁₃⋊M₁₆	1	2	yes	complemented
343	C₂²	C₂³×#90673	1	1	yes	characteristic
344	C₄	—	2	1	no	—
345	C₄	—	2	1	no	—
346	C₄	—	2	1	no	—
347	C₄	—	2	1	no	—
348	C₄	—	113	1	no	—
349	C₄	—	113	1	no	—
350	C₄	—	226	1	no	—
351	C₄	—	226	1	no	—
352	C₄	—	226	1	no	—
353	C₄	—	226	1	no	—
354	C₄	D₄×#90673	1	2	yes	—
355	C₂	—	2	2	no	—
356	C₂	—	4	1	no	—
357	C₂	—	113	4	no	—
358	C₂	—	452	1	no	—
359	C₂	—	226	2	no	—
360	C₂	C₂×D₄×#90673	1	1	yes	characteristic
361	C₂	C₂×D₁₁₃⋊M₁₆	1	1	yes	characteristic
362	C₂	D₁₁₃⋊#131	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×#90673
commutator, socle	C₂²×C₁₁₃	C₂³×C₄
Frattini	C₂²	C₂³×#90673
Fitting	C₄×D₄×C₁₁₃	C₄
prime radical	C₂×D₄×D₁₁₃	C₄
cosocle	C₂×Dic₁₁₃	C₂⁴
hypercenter	C₄×D₄	#90673
hypocenter	C₁₁₃	C₂×#435
LCS	G ▷ C₂²×C₁₁₃ ▷ C₁₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂×D₁₁₃⋊M₁₆	C₂	semidirect
2. C₂²×#14268655	C₂	semidirect
3. #20299630	C₂	semidirect
4. #20299629	C₂	semidirect
5. #20299628	C₂	semidirect
6. #20299627	C₂	semidirect
7. #20299599	C₂	semidirect
8. #20299566	C₂	semidirect
9. #20299566	C₂	semidirect
10. #20299557	C₂	semidirect
12. C₂×#14268657	C₂²	semidirect
14. C₂×#14268656	C₂²	semidirect
20. C₂×#14268655	C₂²	semidirect
21. C₂²×#11744753	C₂²	semidirect
22. #16813689	C₂²	semidirect
23. C₄⋊#11744753	C₂²	semidirect
24. #16813679	C₂²	semidirect
25. #16813679	C₂²	semidirect
26. C₂²⋊#11744753	C₂²	semidirect
27. C₂²⋊#11744753	C₂²	semidirect
28. #16813677	C₂²	semidirect
29. #16813677	C₂²	semidirect
51. #14268655	D₄	semidirect
104. C₂²×D₁₁₃	M₁₆	semidirect
143. #11744753	C₂×D₄	semidirect
149. C₂²×C₁₁₃	C₂×M₁₆	semidirect
160. C₂×D₁₁₃	C₂×M₁₆	semidirect
180. D₁₁₃	#435	semidirect
182. C₁₁₃	C₂×#435	semidirect
342. C₂²	D₁₁₃⋊M₁₆	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₁₁₃⋊M₁₆	2
C₂²×#14268655	2
#20299630	2
#20299629	2
#20299628	2
#20299627	2
#20299599	2
#20299566	2
#20299557	2
C₄×D₄×D₁₁₃	2
C₂×#435	113

Subgroups — D113⋊#435 #28407282

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₁₃⋊#435 #28407282