Subgroups — #28404248

Order 14464.

1522 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#16813669	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#41×D₁₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#20299263	C₂	1	1	yes	maximal, characteristic, complemented
4	#20299261	C₂	1	1	yes	maximal, characteristic, complemented
5	#20299258	C₂	1	1	yes	maximal, characteristic, complemented
6	#20299257	C₂	1	1	yes	maximal, characteristic, complemented
7	#20299249	C₂	1	2	yes	maximal, complemented
8	#20299247	C₂	1	1	yes	maximal, characteristic, complemented
9	#20299246	C₂	1	2	yes	maximal, complemented
10	#20299243	C₂	1	1	yes	maximal, characteristic, complemented
11	#20299240	C₂	1	2	yes	maximal, complemented
12	#20299237	C₂	1	2	yes	maximal, complemented
13	#20299236	C₂	1	1	yes	maximal, characteristic, complemented
14	#20299178	C₂	1	1	yes	maximal, characteristic, complemented
15	#20299175	C₂	1	2	yes	maximal, complemented
16	#20299173	C₂	1	1	yes	maximal, characteristic, complemented
17	#20299170	C₂	1	2	yes	maximal, complemented
18	#20299107	C₂	1	1	yes	maximal, characteristic, complemented
19	#20299106	C₂	1	2	yes	maximal, complemented
20	C₂×#16813600	C₂	1	2	yes	maximal, complemented
21	C₂²⋊Q₈×D₁₁₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#20299077	C₂	1	1	yes	maximal, characteristic, complemented
23	#547×C₁₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	#16813669	—	2	8	no	—
25	C₂×#14268648	C₂²	1	1	yes	characteristic
26	C₂×#14268647	C₂²	1	2	yes	—
27	C₂×#14268647	C₂²	1	1	yes	characteristic
28	C₂×#14268647	C₂²	1	1	yes	characteristic, complemented
29	C₂×#14268647	C₂²	1	2	yes	complemented
30	C₂×#14268646	C₂²	1	2	yes	—
31	C₂×#14268646	C₂²	1	1	yes	characteristic
32	C₂×#14268646	C₂²	1	2	yes	complemented
33	C₂×#14268646	C₂²	1	2	yes	complemented
34	C₂×#14268646	C₂²	1	1	yes	characteristic, complemented
35	#41×D₁₁₃	—	2	8	no	—
36	C₂²×Dic₂₂₆	C₂²	1	2	yes	complemented
37	C₂²×Dic₂₂₆	C₂²	1	1	yes	characteristic, complemented
38	C₂×Q₈×D₁₁₃	C₂²	1	1	yes	characteristic
39	C₂×Q₈×D₁₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×Q₈×D₁₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₁₁₃	C₂²	1	1	yes	characteristic
42	C₂×D₄×D₁₁₃	C₂²	1	2	yes	—
43	C₂²×C₄×D₁₁₃	C₂²	1	1	yes	characteristic
44	C₂²×C₄×D₁₁₃	C₂²	1	2	yes	—
45	#16813621	C₂²	1	2	yes	complemented
46	#16813621	C₂²	1	2	yes	complemented
47	#16813620	C₂²	1	1	yes	characteristic, complemented
48	#16813611	C₂²	1	1	yes	characteristic, complemented
49	#16813610	C₂²	1	1	yes	characteristic, complemented
50	#16813608	C₂²	1	2	yes	complemented
51	#16813608	C₂²	1	2	yes	complemented
52	#16813607	C₂²	1	1	yes	characteristic, complemented
53	#16813607	C₂²	1	2	yes	complemented
54	#16813607	C₂²	1	2	yes	complemented
55	#16813606	C₂²	1	2	yes	complemented
56	#16813605	C₂²	1	2	yes	complemented
57	#16813605	C₂²	1	2	yes	complemented
58	#16813604	C₂²	1	1	yes	characteristic, complemented
59	#16813603	C₂²	1	2	yes	complemented
60	#16813602	C₂²	1	1	yes	characteristic
61	#16813601	C₂²	1	1	yes	characteristic, complemented
62	#16813600	C₂²	1	2	yes	—
63	#16813600	C₂²	1	1	yes	characteristic
64	#16813600	C₂²	1	2	yes	—
65	#16813600	C₂²	1	2	yes	—
66	#16813600	C₂²	1	2	yes	complemented
67	#16813600	C₂²	1	2	yes	complemented
68	#16813600	C₂²	1	2	yes	complemented
69	#16813600	C₂²	1	2	yes	complemented
70	#16813600	C₂²	1	2	yes	complemented
71	#16813600	C₂²	1	2	yes	complemented
72	#16813599	C₂²	1	2	yes	complemented
73	#16813599	C₂²	1	1	yes	characteristic, complemented
74	#16813599	C₂²	1	2	yes	complemented
75	#16813598	C₂²	1	1	yes	characteristic
76	#16813598	C₂²	1	1	yes	characteristic, complemented
77	#16813597	C₂²	1	2	yes	complemented
78	#16813597	C₂²	1	1	yes	characteristic, complemented
79	#16813596	C₂²	1	2	yes	complemented
80	#16813596	C₂²	1	1	yes	characteristic, complemented
81	#16813595	C₂²	1	1	yes	characteristic
82	#16813595	C₂²	1	2	yes	complemented
83	#16813595	C₂²	1	2	yes	complemented
84	#16813595	C₂²	1	2	yes	complemented
85	#16813594	C₂²	1	1	yes	characteristic, complemented
86	#16813594	C₂²	1	2	yes	complemented
87	#16813594	C₂²	1	2	yes	complemented
88	#16813594	C₂²	1	2	yes	complemented
89	#16813592	C₂²	1	2	yes	—
90	#16813592	C₂²	1	1	yes	characteristic
91	#16813590	C₂²	1	2	yes	—
92	#16813590	C₂²	1	1	yes	characteristic
93	C₄×Dic₂₂₆	C₂²	1	1	yes	characteristic, complemented
94	#16813587	C₂²	1	1	yes	characteristic, complemented
95	C₄×D₄₅₂	C₂²	1	1	yes	characteristic
96	D₄×Dic₁₁₃	C₂²	1	1	yes	characteristic, complemented
97	#16813584	C₂²	1	2	yes	—
98	#16813584	C₂²	1	2	yes	complemented
99	C₄×C₂²⋊D₁₁₃	C₂²	1	1	yes	characteristic
100	C₄×C₂²⋊D₁₁₃	C₂²	1	2	yes	complemented
101	C₄×C₂²⋊D₁₁₃	C₂²	1	1	yes	characteristic, complemented
102	#16813582	C₂²	1	2	yes	—
103	#16813582	C₂²	1	2	yes	complemented
104	#16813582	C₂²	1	2	yes	complemented
105	#16813579	C₂²	1	1	yes	characteristic, complemented
106	#16813578	C₂²	1	2	yes	complemented
107	C₂×#14268626	C₂²	1	2	yes	complemented
108	C₂×#14268626	C₂²	1	2	yes	complemented
109	C₄⋊C₄×D₁₁₃	C₂²	1	1	yes	characteristic, complemented
110	C₄⋊C₄×D₁₁₃	C₂²	1	2	yes	complemented
111	C₂×#14268624	C₂²	1	2	yes	—
112	C₂×#14268624	C₂²	1	2	yes	—
113	C₂²⋊C₄×D₁₁₃	C₂²	1	2	yes	—
114	C₂×#41×C₁₁₃	C₂²	1	1	yes	characteristic
115	C₂×#41×C₁₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₄⋊Q₈×C₁₁₃	C₂²	1	1	yes	characteristic, complemented
117	#123×C₁₁₃	C₂²	1	2	yes	complemented
118	#123×C₁₁₃	C₂²	1	2	yes	complemented
119	C₂²⋊Q₈×C₁₁₃	C₂²	1	1	yes	characteristic, complemented
120	C₂²⋊Q₈×C₁₁₃	C₂²	1	1	yes	characteristic, complemented
121	#121×C₁₁₃	C₂²	1	2	yes	complemented
122	C₄×D₄×C₁₁₃	C₂²	1	1	yes	characteristic, complemented
123	C₄×D₄×C₁₁₃	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄⋊C₄×C₁₁₃	C₂²	1	2	yes	complemented
125	C₂³×D₁₁₃	C₂³	1	1	yes	characteristic
126	C₂³×D₁₁₃	C₂³	1	2	yes	—
127	#14268648	—	2	4	no	—
128	#14268647	—	2	8	no	—
129	#14268647	—	2	8	no	—
130	#14268647	—	2	4	no	—
131	#14268647	—	2	4	no	—
132	#14268646	—	2	4	no	—
133	#14268646	—	2	8	no	—
134	#14268646	—	2	8	no	—
135	#14268646	—	2	8	no	—
136	#14268646	D₄	1	8	yes	complemented
137	C₂×Dic₂₂₆	—	2	8	no	—
138	C₂×Dic₂₂₆	—	2	4	no	—
139	C₂×Dic₂₂₆	C₂³	1	2	yes	—
140	C₂×Dic₂₂₆	C₂³	1	1	yes	characteristic
141	C₂×Dic₂₂₆	C₂³	1	2	yes	—
142	C₂×Dic₂₂₆	C₂³	1	2	yes	—
143	C₂×Dic₂₂₆	C₂³	1	2	yes	—
144	C₂×Dic₂₂₆	C₂³	1	1	yes	characteristic
145	C₂×Dic₂₂₆	C₂³	1	1	yes	characteristic
146	Q₈×D₁₁₃	—	2	4	no	—
147	Q₈×D₁₁₃	—	2	4	no	—
148	Q₈×D₁₁₃	—	2	4	no	—
149	C₂×D₄₅₂	C₂³	1	1	yes	characteristic
150	C₂×D₄₅₂	C₂³	1	1	yes	characteristic
151	C₂×D₄₅₂	C₂³	1	2	yes	—
152	C₂×D₄₅₂	C₂³	1	1	yes	characteristic
153	C₂×D₄₅₂	C₂³	1	2	yes	—
154	C₂×C₂²⋊D₁₁₃	C₂³	1	1	yes	characteristic
155	C₂×C₂²⋊D₁₁₃	C₂³	1	1	yes	characteristic
156	C₂×C₂²⋊D₁₁₃	C₂³	1	2	yes	—
157	C₂×C₂²⋊D₁₁₃	C₂³	1	1	yes	characteristic
158	C₂×C₂²⋊D₁₁₃	C₂³	1	2	yes	—
159	C₂×C₂²⋊D₁₁₃	C₂³	1	2	yes	—
160	C₂×C₂²⋊D₁₁₃	C₂³	1	2	yes	—
161	C₂×C₂²⋊D₁₁₃	C₂³	1	1	yes	characteristic
162	C₂×C₂²⋊D₁₁₃	C₂³	1	2	yes	—
163	D₄×D₁₁₃	—	2	4	no	—
164	D₄×D₁₁₃	—	2	8	no	—
165	C₂²×Dic₁₁₃	C₂³	1	2	yes	—
166	C₂²×Dic₁₁₃	C₂³	1	2	yes	—
167	C₂²×Dic₁₁₃	C₂³	1	1	yes	characteristic
168	C₂²×Dic₁₁₃	C₂³	1	2	yes	—
169	C₂²×Dic₁₁₃	C₂³	1	2	yes	—
170	C₂×C₄×D₁₁₃	—	2	8	no	—
171	C₂×C₄×D₁₁₃	—	2	4	no	—
172	C₂×C₄×D₁₁₃	C₂³	1	2	yes	—
173	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
174	C₂×C₄×D₁₁₃	C₂³	1	2	yes	—
175	C₂×C₄×D₁₁₃	C₂³	1	2	yes	—
176	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
177	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
178	C₂×C₄×D₁₁₃	C₂³	1	2	yes	—
179	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
180	C₂×C₄×D₁₁₃	C₂³	1	2	yes	—
181	C₂×C₄×D₁₁₃	C₂³	1	2	yes	—
182	C₂×C₄×D₁₁₃	C₂³	1	1	yes	characteristic
183	C₄⋊Dic₁₁₃	C₂³	1	1	yes	characteristic
184	C₄⋊Dic₁₁₃	C₂³	1	2	yes	—
185	C₄⋊Dic₁₁₃	C₂³	1	1	yes	characteristic
186	#14268626	C₂³	1	2	yes	—
187	#14268626	C₂³	1	2	yes	—
188	#14268626	C₂³	1	2	yes	—
189	#14268626	C₂³	1	1	yes	characteristic
190	#14268626	C₂³	1	1	yes	characteristic
191	#14268626	C₂³	1	2	yes	—
192	#14268626	C₂³	1	2	yes	—
193	#14268626	C₂³	1	2	yes	—
194	#14268626	C₂³	1	2	yes	—
195	#14268626	C₂³	1	1	yes	characteristic
196	#14268626	C₂³	1	2	yes	—
197	#14268626	C₂³	1	1	yes	characteristic
198	C₂²⋊Dic₁₁₃	C₂³	1	2	yes	—
199	C₂²⋊Dic₁₁₃	C₂³	1	2	yes	—
200	C₂²⋊Dic₁₁₃	C₂³	1	1	yes	characteristic
201	C₂²⋊Dic₁₁₃	C₂³	1	1	yes	characteristic
202	#14268624	C₂³	1	2	yes	—
203	#14268624	C₂³	1	2	yes	—
204	#14268624	C₂³	1	1	yes	characteristic
205	#14268624	C₂³	1	1	yes	characteristic
206	#14268624	C₂³	1	2	yes	—
207	#14268624	C₂³	1	2	yes	—
208	#14268624	C₂³	1	2	yes	—
209	#14268624	C₂³	1	2	yes	—
210	#14268624	C₂³	1	1	yes	characteristic
211	#14268624	C₂³	1	1	yes	characteristic
212	#14268624	C₂³	1	2	yes	—
213	#14268624	C₂³	1	1	yes	characteristic
214	#14268624	C₂³	1	2	yes	—
215	#14268624	C₂³	1	2	yes	—
216	#14268624	C₂³	1	1	yes	characteristic
217	C₄×Dic₁₁₃	C₂³	1	2	yes	—
218	C₄×Dic₁₁₃	C₂³	1	2	yes	—
219	C₄×Dic₁₁₃	C₂³	1	1	yes	characteristic
220	#41×C₁₁₃	—	2	4	no	—
221	#41×C₁₁₃	—	2	4	no	—
222	C₂×Q₈×C₁₁₃	C₂³	1	1	yes	characteristic
223	C₂×Q₈×C₁₁₃	C₂³	1	1	yes	characteristic
224	C₂×D₄×C₁₁₃	C₂³	1	2	yes	—
225	C₂×D₄×C₁₁₃	C₂³	1	2	yes	—
226	C₂×D₄×C₁₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×C₁₁₃	C₂³	1	1	yes	characteristic
228	C₂²×C₄×C₁₁₃	C₂³	1	2	yes	—
229	C₂²×C₄×C₁₁₃	C₂³	1	2	yes	—
230	C₂²×C₄×C₁₁₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×C₁₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×C₁₁₃	C₂³	1	2	yes	—
233	C₄⋊C₄×C₁₁₃	C₂³	1	2	yes	—
234	C₄⋊C₄×C₁₁₃	C₂³	1	1	yes	characteristic
235	C₄⋊C₄×C₁₁₃	C₂³	1	2	yes	—
236	C₄⋊C₄×C₁₁₃	C₂³	1	2	yes	—
237	C₄⋊C₄×C₁₁₃	C₂³	1	1	yes	characteristic
238	C₄⋊C₄×C₁₁₃	C₂³	1	2	yes	—
239	C₂²⋊C₄×C₁₁₃	C₂³	1	2	yes	—
240	C₂²⋊C₄×C₁₁₃	C₂³	1	2	yes	—
241	C₂²⋊C₄×C₁₁₃	C₂³	1	2	yes	—
242	C₂²⋊C₄×C₁₁₃	C₂³	1	1	yes	characteristic
243	C₂²⋊C₄×C₁₁₃	C₂³	1	1	yes	characteristic
244	C₄²×C₁₁₃	C₂³	1	1	yes	characteristic
245	C₂³×C₁₁₃	C₂⁴	1	1	yes	characteristic
246	C₂³×C₁₁₃	C₂⁴	1	1	yes	characteristic
247	C₂³×C₁₁₃	C₂⁴	1	2	yes	—
248	C₂²×D₁₁₃	—	2	4	no	—
249	C₂²×D₁₁₃	—	2	2	no	—
250	C₂²×D₁₁₃	—	2	2	no	—
251	C₂²×D₁₁₃	—	2	4	no	—
252	C₂²×D₁₁₃	—	4	1	no	—
253	C₂²×D₁₁₃	—	4	2	no	—
254	C₂²×D₁₁₃	C₂⁴	1	2	yes	—
255	C₂²×D₁₁₃	C₂⁴	1	1	yes	characteristic
256	C₂²×D₁₁₃	C₂⁴	1	1	yes	characteristic
257	C₂²×D₁₁₃	C₂⁴	1	1	yes	characteristic
258	Q₈×C₁₁₃	—	2	2	no	—
259	Q₈×C₁₁₃	—	2	2	no	—
260	D₄×C₁₁₃	—	2	4	no	—
261	D₄×C₁₁₃	—	2	4	no	—
262	D₄×C₁₁₃	—	4	1	no	—
263	D₄×C₁₁₃	C₂×D₄	1	4	yes	—
264	C₂×C₄×C₁₁₃	—	2	4	no	—
265	C₂×C₄×C₁₁₃	—	2	4	no	—
266	C₂×C₄×C₁₁₃	—	2	2	no	—
267	C₂×C₄×C₁₁₃	—	2	2	no	—
268	C₂×C₄×C₁₁₃	—	4	2	no	—
269	C₂×C₄×C₁₁₃	C₂⁴	1	1	yes	characteristic
270	C₂×C₄×C₁₁₃	C₂⁴	1	1	yes	characteristic
271	C₂×C₄×C₁₁₃	C₂⁴	1	2	yes	—
272	C₂×C₄×C₁₁₃	C₂⁴	1	1	yes	characteristic
273	C₂×C₄×C₁₁₃	C₂⁴	1	1	yes	characteristic
274	C₂×C₄×C₁₁₃	C₂⁴	1	2	yes	—
275	C₂×C₄×C₁₁₃	C₂⁴	1	2	yes	—
276	C₂×C₄×C₁₁₃	C₂⁴	1	1	yes	characteristic
277	C₂²⋊D₁₁₃	—	2	4	no	—
278	C₂²⋊D₁₁₃	—	2	4	no	—
279	C₂²⋊D₁₁₃	—	2	2	no	—
280	C₂²⋊D₁₁₃	—	2	2	no	—
281	C₂²⋊D₁₁₃	—	2	4	no	—
282	C₂²⋊D₁₁₃	—	2	2	no	—
283	C₂²⋊D₁₁₃	—	4	2	no	—
284	C₂²⋊D₁₁₃	—	4	1	no	—
285	C₂²⋊D₁₁₃	C₂×D₄	1	8	yes	—
286	C₂×Dic₁₁₃	—	2	4	no	—
287	C₂×Dic₁₁₃	—	2	2	no	—
288	C₂×Dic₁₁₃	—	2	4	no	—
289	C₂×Dic₁₁₃	—	4	2	no	—
290	C₂×Dic₁₁₃	C₂×D₄	1	8	yes	—
291	C₂×Dic₁₁₃	C₂⁴	1	1	yes	characteristic
292	C₂×Dic₁₁₃	C₂⁴	1	1	yes	characteristic
293	C₂×Dic₁₁₃	C₂⁴	1	2	yes	—
294	C₂×Dic₁₁₃	C₂⁴	1	2	yes	—
295	C₂×Dic₁₁₃	C₂⁴	1	1	yes	characteristic
296	C₂×Dic₁₁₃	C₂⁴	1	1	yes	characteristic
297	C₂×Dic₁₁₃	C₂⁴	1	2	yes	—
298	C₂×Dic₁₁₃	C₂⁴	1	1	yes	characteristic
299	D₄₅₂	—	2	4	no	—
300	D₄₅₂	—	2	2	no	—
301	D₄₅₂	—	2	2	no	—
302	D₄₅₂	—	2	2	no	—
303	D₄₅₂	—	4	2	no	—
304	C₄×D₁₁₃	—	2	2	no	—
305	C₄×D₁₁₃	—	2	4	no	—
306	C₄×D₁₁₃	—	2	2	no	—
307	C₄×D₁₁₃	—	2	2	no	—
308	C₄×D₁₁₃	—	2	2	no	—
309	C₄×D₁₁₃	—	2	4	no	—
310	C₄×D₁₁₃	—	2	4	no	—
311	C₄×D₁₁₃	—	2	4	no	—
312	C₄×D₁₁₃	—	2	4	no	—
313	C₄×D₁₁₃	—	4	2	no	—
314	C₄×D₁₁₃	C₂×D₄	1	4	yes	—
315	Dic₂₂₆	—	2	2	no	—
316	Dic₂₂₆	—	2	4	no	—
317	Dic₂₂₆	—	2	4	no	—
318	Dic₂₂₆	—	2	4	no	—
319	Dic₂₂₆	—	2	4	no	—
320	Dic₂₂₆	—	2	2	no	—
321	Dic₂₂₆	C₂×D₄	1	4	yes	—
322	C₂²×C₁₁₃	—	2	2	no	—
323	C₂²×C₁₁₃	—	2	2	no	—
324	C₂²×C₁₁₃	—	2	1	no	—
325	C₂²×C₁₁₃	—	2	1	no	—
326	C₂²×C₁₁₃	—	2	1	no	—
327	C₂²×C₁₁₃	—	2	1	no	—
328	C₂²×C₁₁₃	—	2	1	no	—
329	C₂²×C₁₁₃	—	2	1	no	—
330	C₂²×C₁₁₃	C₂²×D₄	1	4	yes	—
331	C₂²×C₁₁₃	C₂⁵	1	1	yes	characteristic
332	C₂×D₁₁₃	—	2	1	no	—
333	C₂×D₁₁₃	—	2	1	no	—
334	C₂×D₁₁₃	—	2	1	no	—
335	C₂×D₁₁₃	—	2	1	no	—
336	C₂×D₁₁₃	—	2	1	no	—
337	C₂×D₁₁₃	—	2	2	no	—
338	C₂×D₁₁₃	—	2	1	no	—
339	C₂×D₁₁₃	—	2	2	no	—
340	C₂×D₁₁₃	—	2	1	no	—
341	C₂×D₁₁₃	—	2	2	no	—
342	C₂×D₁₁₃	—	4	4	no	—
343	C₂×D₁₁₃	—	4	8	no	—
344	C₂×D₁₁₃	C₂²×D₄	1	2	yes	—
345	C₂×D₁₁₃	2₋¹⁺⁴	1	2	yes	complemented
346	C₄×C₁₁₃	—	2	1	no	—
347	C₄×C₁₁₃	—	2	2	no	—
348	C₄×C₁₁₃	—	2	2	no	—
349	C₄×C₁₁₃	—	2	1	no	—
350	C₄×C₁₁₃	—	2	1	no	—
351	C₄×C₁₁₃	—	2	2	no	—
352	C₄×C₁₁₃	—	2	1	no	—
353	C₄×C₁₁₃	C₂²×D₄	1	2	yes	—
354	Dic₁₁₃	—	2	2	no	—
355	Dic₁₁₃	—	2	1	no	—
356	Dic₁₁₃	—	2	1	no	—
357	Dic₁₁₃	—	2	1	no	—
358	Dic₁₁₃	—	2	2	no	—
359	Dic₁₁₃	—	2	1	no	—
360	Dic₁₁₃	C₂²×D₄	1	4	yes	—
361	Dic₁₁₃	C₂²×D₄	1	2	yes	—
362	C₂×C₁₁₃	—	2	4	no	—
363	C₂×C₁₁₃	—	4	1	no	—
364	C₂×C₁₁₃	—	4	1	no	—
365	C₂×C₁₁₃	C₂³×D₄	1	1	yes	characteristic
366	C₂×C₁₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
367	C₂×C₁₁₃	#585	1	1	yes	characteristic
368	D₁₁₃	—	2	2	no	—
369	D₁₁₃	—	2	2	no	—
370	D₁₁₃	—	4	1	no	—
371	D₁₁₃	—	4	2	no	—
372	#3489	—	113	1	no	maximal, Sylow
373	C₁₁₃	#3489	1	1	yes	characteristic, complemented, Sylow
374	C₂×2₋¹⁺⁴	—	113	1	no	—
375	C₂²×#41	—	113	1	no	—
376	D₄×Q₈	—	113	1	no	—
377	D₄×Q₈	—	113	1	no	—
378	#548	—	113	1	no	—
379	#548	—	113	1	no	—
380	#547	—	113	1	no	—
381	#547	—	113	2	no	—
382	#547	—	113	2	no	—
383	#547	D₁₁₃	1	1	yes	characteristic, complemented
384	#546	—	113	1	no	—
385	#546	—	113	2	no	—
386	#546	—	113	2	no	—
387	#546	—	113	1	no	—
388	#537	—	113	1	no	—
389	#537	—	113	2	no	—
390	#536	—	113	1	no	—
391	#536	—	113	2	no	—
392	#525	—	113	2	no	—
393	#525	—	113	1	no	—
394	C₂×C₂²⋊Q₈	—	113	1	no	—
395	C₂×C₂²⋊Q₈	—	113	2	no	—
396	#520	—	113	1	no	—
397	2₋¹⁺⁴	—	226	8	no	—
398	C₂×#41	—	113	1	no	—
399	C₂×#41	—	113	1	no	—
400	C₂×#41	—	113	2	no	—
401	C₂×#41	—	113	2	no	—
402	C₂×#41	—	113	1	no	—
403	C₂×#41	—	113	2	no	—
404	C₂×#41	—	113	1	no	—
405	C₂×#41	—	113	2	no	—
406	C₂×#41	—	113	2	no	—
407	C₂×#41	—	113	1	no	—
408	C₂×#41	—	226	8	no	—
409	C₂×#41	C₂×D₁₁₃	1	1	yes	characteristic
410	C₂×#41	C₂×D₁₁₃	1	1	yes	characteristic, complemented
411	C₂²×Q₈	—	113	1	no	—
412	C₂²×Q₈	—	113	1	no	—
413	C₂²×Q₈	—	113	1	no	—
414	C₂²×Q₈	—	113	2	no	—
415	C₂²×Q₈	—	113	1	no	—
416	C₂²×D₄	—	113	2	no	—
417	C₂²×D₄	—	113	1	no	—
418	C₂³×C₄	—	113	2	no	—
419	C₂³×C₄	—	113	1	no	—
420	C₄⋊Q₈	—	113	1	no	—
421	C₄⋊Q₈	—	113	2	no	—
422	C₄⋊Q₈	—	113	2	no	—
423	C₄⋊Q₈	C₂×D₁₁₃	1	1	yes	characteristic, complemented
424	#124	—	113	1	no	—
425	#124	—	113	2	no	—
426	#124	—	113	2	no	—
427	#124	—	113	1	no	—
428	#123	—	113	2	no	—
429	#123	—	113	2	no	—
430	#123	—	113	2	no	—
431	#123	—	113	1	no	—
432	#123	—	113	2	no	—
433	#123	—	113	2	no	—
434	#123	—	113	1	no	—
435	#123	—	113	2	no	—
436	#123	C₂×D₁₁₃	1	2	yes	complemented
437	#123	C₂×D₁₁₃	1	2	yes	complemented
438	C₂²⋊Q₈	—	113	1	no	—
439	C₂²⋊Q₈	—	113	1	no	—
440	C₂²⋊Q₈	—	113	1	no	—
441	C₂²⋊Q₈	—	113	2	no	—
442	C₂²⋊Q₈	—	113	1	no	—
443	C₂²⋊Q₈	—	113	2	no	—
444	C₂²⋊Q₈	—	113	2	no	—
445	C₂²⋊Q₈	—	113	2	no	—
446	C₂²⋊Q₈	—	113	2	no	—
447	C₂²⋊Q₈	—	113	2	no	—
448	C₂²⋊Q₈	—	113	2	no	—
449	C₂²⋊Q₈	—	113	1	no	—
450	C₂²⋊Q₈	—	113	2	no	—
451	C₂²⋊Q₈	—	113	2	no	—
452	C₂²⋊Q₈	—	113	2	no	—
453	C₂²⋊Q₈	—	113	1	no	—
454	C₂²⋊Q₈	—	113	2	no	—
455	C₂²⋊Q₈	C₂×D₁₁₃	1	1	yes	characteristic, complemented
456	C₂²⋊Q₈	C₂×D₁₁₃	1	1	yes	characteristic, complemented
457	#121	—	113	1	no	—
458	#121	—	113	2	no	—
459	#121	—	113	2	no	—
460	#121	—	113	2	no	—
461	#121	—	113	2	no	—
462	#121	—	113	1	no	—
463	#121	—	113	2	no	—
464	#121	—	113	1	no	—
465	#121	—	113	1	no	—
466	#121	—	113	2	no	—
467	#121	—	113	2	no	—
468	#121	—	113	2	no	—
469	#121	C₂×D₁₁₃	1	2	yes	complemented
470	#120	—	113	2	no	—
471	#120	—	113	1	no	—
472	#120	—	113	1	no	—
473	#120	—	113	2	no	—
474	C₄×Q₈	—	113	1	no	—
475	C₄×Q₈	—	113	1	no	—
476	C₄×D₄	—	113	1	no	—
477	C₄×D₄	—	113	2	no	—
478	C₄×D₄	—	113	1	no	—
479	C₄×D₄	—	113	1	no	—
480	C₄×D₄	—	113	2	no	—
481	C₄×D₄	—	113	2	no	—
482	C₄×D₄	—	113	2	no	—
483	C₄×D₄	—	113	2	no	—
484	C₄×D₄	—	113	2	no	—
485	C₄×D₄	—	113	1	no	—
486	C₄×D₄	C₂×D₁₁₃	1	1	yes	characteristic, complemented
487	C₄×D₄	C₂×D₁₁₃	1	1	yes	characteristic, complemented
488	#117	—	113	2	no	—
489	#117	—	113	1	no	—
490	C₂×C₄⋊C₄	—	113	2	no	—
491	C₂×C₄⋊C₄	—	113	2	no	—
492	C₂×C₄⋊C₄	—	113	1	no	—
493	C₂×C₄⋊C₄	—	113	2	no	—
494	C₂×C₄⋊C₄	C₂×D₁₁₃	1	2	yes	complemented
495	C₂×C₂²⋊C₄	—	113	2	no	—
496	C₂×C₂²⋊C₄	—	113	2	no	—
497	C₂×C₂²⋊C₄	—	113	2	no	—
498	C₂⁴	—	113	1	no	—
499	C₂⁴	—	113	2	no	—
500	#41	—	2	4	no	—
501	#41	—	2	4	no	—
502	#41	—	113	8	no	—
503	#41	—	226	4	no	—
504	#41	—	226	8	no	—
505	#41	—	226	8	no	—
506	#41	—	226	4	no	—
507	#41	—	226	8	no	—
508	#41	—	226	8	no	—
509	#41	—	226	4	no	—
510	#41	—	226	8	no	—
511	#41	—	226	4	no	—
512	C₂×Q₈	—	113	1	no	—
513	C₂×Q₈	—	113	2	no	—
514	C₂×Q₈	—	113	1	no	—
515	C₂×Q₈	—	113	2	no	—
516	C₂×Q₈	—	113	2	no	—
517	C₂×Q₈	—	113	1	no	—
518	C₂×Q₈	—	113	2	no	—
519	C₂×Q₈	—	226	8	no	—
520	C₂×Q₈	—	226	4	no	—
521	C₂×Q₈	—	226	4	no	—
522	C₂×Q₈	—	226	4	no	—
523	C₂×Q₈	—	226	4	no	—
524	C₂×Q₈	C₂²×D₁₁₃	1	1	yes	characteristic
525	C₂×Q₈	C₂²×D₁₁₃	1	1	yes	characteristic
526	C₂×D₄	—	113	2	no	—
527	C₂×D₄	—	113	2	no	—
528	C₂×D₄	—	113	1	no	—
529	C₂×D₄	—	113	1	no	—
530	C₂×D₄	—	113	1	no	—
531	C₂×D₄	—	113	2	no	—
532	C₂×D₄	—	113	1	no	—
533	C₂×D₄	—	113	2	no	—
534	C₂×D₄	—	113	2	no	—
535	C₂×D₄	—	113	2	no	—
536	C₂×D₄	—	113	1	no	—
537	C₂×D₄	—	113	1	no	—
538	C₂×D₄	—	113	2	no	—
539	C₂×D₄	—	113	1	no	—
540	C₂×D₄	—	226	8	no	—
541	C₂×D₄	—	226	4	no	—
542	C₂×D₄	C₂²×D₁₁₃	1	2	yes	—
543	C₂×D₄	C₂²×D₁₁₃	1	2	yes	—
544	C₂×D₄	C₂²×D₁₁₃	1	1	yes	characteristic
545	C₂×D₄	C₂²×D₁₁₃	1	1	yes	characteristic
546	C₂²×C₄	—	113	2	no	—
547	C₂²×C₄	—	113	1	no	—
548	C₂²×C₄	—	113	2	no	—
549	C₂²×C₄	—	113	2	no	—
550	C₂²×C₄	—	113	2	no	—
551	C₂²×C₄	—	113	1	no	—
552	C₂²×C₄	—	113	2	no	—
553	C₂²×C₄	—	113	2	no	—
554	C₂²×C₄	—	113	1	no	—
555	C₂²×C₄	—	113	2	no	—
556	C₂²×C₄	—	113	1	no	—
557	C₂²×C₄	—	113	2	no	—
558	C₂²×C₄	—	113	1	no	—
559	C₂²×C₄	—	113	2	no	—
560	C₂²×C₄	—	113	1	no	—
561	C₂²×C₄	—	113	2	no	—
562	C₂²×C₄	—	226	8	no	—
563	C₂²×C₄	—	226	4	no	—
564	C₂²×C₄	C₂²×D₁₁₃	1	2	yes	—
565	C₂²×C₄	C₂²×D₁₁₃	1	2	yes	—
566	C₂²×C₄	C₂²×D₁₁₃	1	1	yes	characteristic
567	C₂²×C₄	C₂²×D₁₁₃	1	1	yes	characteristic
568	C₂²×C₄	C₂²×D₁₁₃	1	2	yes	—
569	C₄⋊C₄	—	113	2	no	—
570	C₄⋊C₄	—	113	1	no	—
571	C₄⋊C₄	—	113	1	no	—
572	C₄⋊C₄	—	113	2	no	—
573	C₄⋊C₄	—	113	2	no	—
574	C₄⋊C₄	—	113	2	no	—
575	C₄⋊C₄	—	113	1	no	—
576	C₄⋊C₄	—	113	2	no	—
577	C₄⋊C₄	—	113	2	no	—
578	C₄⋊C₄	—	113	2	no	—
579	C₄⋊C₄	—	113	2	no	—
580	C₄⋊C₄	—	113	1	no	—
581	C₄⋊C₄	—	113	2	no	—
582	C₄⋊C₄	—	113	1	no	—
583	C₄⋊C₄	—	113	1	no	—
584	C₄⋊C₄	C₂²×D₁₁₃	1	2	yes	—
585	C₄⋊C₄	C₂²×D₁₁₃	1	1	yes	characteristic
586	C₄⋊C₄	C₂²×D₁₁₃	1	1	yes	characteristic
587	C₄⋊C₄	C₂²×D₁₁₃	1	2	yes	—
588	C₄⋊C₄	C₂²×D₁₁₃	1	2	yes	—
589	C₄⋊C₄	C₂²×D₁₁₃	1	2	yes	—
590	C₂²⋊C₄	—	113	2	no	—
591	C₂²⋊C₄	—	113	2	no	—
592	C₂²⋊C₄	—	113	1	no	—
593	C₂²⋊C₄	—	113	1	no	—
594	C₂²⋊C₄	—	113	2	no	—
595	C₂²⋊C₄	—	113	1	no	—
596	C₂²⋊C₄	—	113	2	no	—
597	C₂²⋊C₄	—	113	1	no	—
598	C₂²⋊C₄	—	113	2	no	—
599	C₂²⋊C₄	—	113	2	no	—
600	C₂²⋊C₄	—	113	2	no	—
601	C₂²⋊C₄	—	113	2	no	—
602	C₂²⋊C₄	—	113	1	no	—
603	C₂²⋊C₄	—	113	1	no	—
604	C₂²⋊C₄	—	113	1	no	—
605	C₂²⋊C₄	—	113	2	no	—
606	C₂²⋊C₄	—	113	2	no	—
607	C₂²⋊C₄	—	113	2	no	—
608	C₂²⋊C₄	—	113	1	no	—
609	C₂²⋊C₄	C₂²×D₁₁₃	1	2	yes	—
610	C₂²⋊C₄	C₂²×D₁₁₃	1	2	yes	—
611	C₂²⋊C₄	C₂²×D₁₁₃	1	1	yes	characteristic
612	C₂²⋊C₄	C₂²×D₁₁₃	1	2	yes	—
613	C₂²⋊C₄	C₂²×D₁₁₃	1	1	yes	characteristic
614	C₄²	—	113	2	no	—
615	C₄²	—	113	2	no	—
616	C₄²	—	113	1	no	—
617	C₄²	C₂²×D₁₁₃	1	1	yes	characteristic
618	C₂³	—	113	1	no	—
619	C₂³	—	113	1	no	—
620	C₂³	—	113	2	no	—
621	C₂³	—	113	1	no	—
622	C₂³	—	452	2	no	—
623	C₂³	—	452	1	no	—
624	C₂³	—	226	2	no	—
625	C₂³	—	226	4	no	—
626	C₂³	—	226	2	no	—
627	C₂³	—	226	4	no	—
628	C₂³	C₂³×D₁₁₃	1	1	yes	characteristic
629	C₂³	C₂³×D₁₁₃	1	1	yes	characteristic
630	C₂³	C₂³×D₁₁₃	1	2	yes	—
631	Q₈	—	2	2	no	—
632	Q₈	—	2	2	no	—
633	Q₈	—	113	4	no	—
634	Q₈	—	226	2	no	—
635	Q₈	—	226	4	no	—
636	Q₈	—	226	4	no	—
637	Q₈	—	226	4	no	—
638	Q₈	—	226	4	no	—
639	Q₈	—	226	2	no	—
640	D₄	—	2	4	no	—
641	D₄	—	2	4	no	—
642	D₄	—	4	1	no	—
643	D₄	—	113	8	no	—
644	D₄	—	452	2	no	—
645	D₄	—	452	2	no	—
646	D₄	—	452	1	no	—
647	D₄	—	226	4	no	—
648	D₄	—	226	2	no	—
649	D₄	—	226	2	no	—
650	D₄	—	226	4	no	—
651	D₄	—	226	2	no	—
652	D₄	—	226	2	no	—
653	D₄	—	226	2	no	—
654	D₄	—	226	4	no	—
655	D₄	—	226	4	no	—
656	D₄	—	226	2	no	—
657	D₄	D₄×D₁₁₃	1	4	yes	—
658	C₂×C₄	—	2	4	no	—
659	C₂×C₄	—	2	4	no	—
660	C₂×C₄	—	2	2	no	—
661	C₂×C₄	—	2	2	no	—
662	C₂×C₄	—	4	2	no	—
663	C₂×C₄	—	113	8	no	—
664	C₂×C₄	—	113	2	no	—
665	C₂×C₄	—	113	1	no	—
666	C₂×C₄	—	113	4	no	—
667	C₂×C₄	—	113	1	no	—
668	C₂×C₄	—	113	2	no	—
669	C₂×C₄	—	113	1	no	—
670	C₂×C₄	—	113	2	no	—
671	C₂×C₄	—	113	1	no	—
672	C₂×C₄	—	113	1	no	—
673	C₂×C₄	—	452	2	no	—
674	C₂×C₄	—	452	2	no	—
675	C₂×C₄	—	226	2	no	—
676	C₂×C₄	—	226	4	no	—
677	C₂×C₄	—	226	4	no	—
678	C₂×C₄	—	226	4	no	—
679	C₂×C₄	—	226	4	no	—
680	C₂×C₄	—	226	2	no	—
681	C₂×C₄	—	226	4	no	—
682	C₂×C₄	—	226	2	no	—
683	C₂×C₄	—	226	4	no	—
684	C₂×C₄	—	226	4	no	—
685	C₂×C₄	—	226	2	no	—
686	C₂×C₄	—	226	2	no	—
687	C₂×C₄	C₂³×D₁₁₃	1	1	yes	characteristic
688	C₂×C₄	C₂³×D₁₁₃	1	2	yes	—
689	C₂×C₄	C₂³×D₁₁₃	1	1	yes	characteristic
690	C₂×C₄	C₂³×D₁₁₃	1	2	yes	—
691	C₂×C₄	C₂³×D₁₁₃	1	1	yes	characteristic
692	C₂×C₄	C₂³×D₁₁₃	1	1	yes	characteristic
693	C₂×C₄	C₂³×D₁₁₃	1	2	yes	—
694	C₂×C₄	C₂³×D₁₁₃	1	1	yes	characteristic
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	1	no	—
698	C₂²	—	2	1	no	—
699	C₂²	—	2	1	no	—
700	C₂²	—	2	1	no	—
701	C₂²	—	2	1	no	—
702	C₂²	—	2	1	no	—
703	C₂²	—	113	2	no	—
704	C₂²	—	113	2	no	—
705	C₂²	—	452	8	no	—
706	C₂²	—	452	4	no	—
707	C₂²	—	226	1	no	—
708	C₂²	—	226	2	no	—
709	C₂²	—	226	1	no	—
710	C₂²	—	226	2	no	—
711	C₂²	—	226	1	no	—
712	C₂²	—	226	2	no	—
713	C₂²	—	226	1	no	—
714	C₂²	—	226	1	no	—
715	C₂²	—	226	1	no	—
716	C₂²	—	226	1	no	—
717	C₂²	C₂×D₄×D₁₁₃	1	4	yes	—
718	C₂²	C₂⁴×D₁₁₃	1	1	yes	characteristic
719	C₄	—	2	1	no	—
720	C₄	—	2	1	no	—
721	C₄	—	2	2	no	—
722	C₄	—	2	2	no	—
723	C₄	—	2	1	no	—
724	C₄	—	2	1	no	—
725	C₄	—	2	2	no	—
726	C₄	—	113	2	no	—
727	C₄	—	113	4	no	—
728	C₄	—	226	1	no	—
729	C₄	—	226	2	no	—
730	C₄	—	226	1	no	—
731	C₄	—	226	1	no	—
732	C₄	—	226	2	no	—
733	C₄	—	226	1	no	—
734	C₄	C₂×D₄×D₁₁₃	1	2	yes	—
735	C₂	—	2	4	no	—
736	C₂	—	4	1	no	—
737	C₂	—	4	1	no	—
738	C₂	—	452	2	no	—
739	C₂	—	452	1	no	—
740	C₂	—	226	2	no	—
741	C₂	—	226	2	no	—
742	C₂	C₂²×D₄×D₁₁₃	1	1	yes	characteristic
743	C₂	2₋¹⁺⁴×D₁₁₃	1	1	yes	characteristic
744	C₂	#20299434	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₁₃
commutator, socle, cosocle	C₂²×C₁₁₃	C₂⁵
Fitting	#547×C₁₁₃	C₂
hypercenter	#547	D₁₁₃
hypocenter	C₁₁₃	#3489
LCS	G ▷ C₂²×C₁₁₃ ▷ C₁₁₃
UCS	C₁ ◁ C₂² ◁ #547

Complements

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

N	H ≅ G/N	type
1. C₂×#16813669	C₂	semidirect
2. C₂×#41×D₁₁₃	C₂	semidirect
3. #20299263	C₂	semidirect
4. #20299261	C₂	semidirect
5. #20299258	C₂	semidirect
6. #20299257	C₂	semidirect
7. #20299249	C₂	semidirect
8. #20299247	C₂	semidirect
9. #20299246	C₂	semidirect
10. #20299243	C₂	semidirect
11. #20299240	C₂	semidirect
12. #20299237	C₂	semidirect
13. #20299236	C₂	semidirect
14. #20299178	C₂	semidirect
15. #20299175	C₂	semidirect
16. #20299173	C₂	semidirect
17. #20299170	C₂	semidirect
18. #20299107	C₂	semidirect
19. #20299106	C₂	semidirect
20. C₂×#16813600	C₂	semidirect
21. C₂²⋊Q₈×D₁₁₃	C₂	semidirect
22. #20299077	C₂	semidirect
23. #547×C₁₁₃	C₂	semidirect
28. C₂×#14268647	C₂²	semidirect
29. C₂×#14268647	C₂²	semidirect
32. C₂×#14268646	C₂²	semidirect
33. C₂×#14268646	C₂²	semidirect
34. C₂×#14268646	C₂²	semidirect
36. C₂²×Dic₂₂₆	C₂²	semidirect
37. C₂²×Dic₂₂₆	C₂²	semidirect
39. C₂×Q₈×D₁₁₃	C₂²	semidirect
40. C₂×Q₈×D₁₁₃	C₂²	semidirect
45. #16813621	C₂²	semidirect
46. #16813621	C₂²	semidirect
47. #16813620	C₂²	semidirect
48. #16813611	C₂²	semidirect
49. #16813610	C₂²	semidirect
50. #16813608	C₂²	semidirect
51. #16813608	C₂²	semidirect
52. #16813607	C₂²	semidirect
53. #16813607	C₂²	semidirect
54. #16813607	C₂²	semidirect
55. #16813606	C₂²	semidirect
56. #16813605	C₂²	semidirect
57. #16813605	C₂²	semidirect
58. #16813604	C₂²	semidirect
59. #16813603	C₂²	semidirect
61. #16813601	C₂²	semidirect
66. #16813600	C₂²	semidirect
67. #16813600	C₂²	semidirect
68. #16813600	C₂²	semidirect
69. #16813600	C₂²	semidirect
70. #16813600	C₂²	semidirect
71. #16813600	C₂²	semidirect
72. #16813599	C₂²	semidirect
73. #16813599	C₂²	semidirect
74. #16813599	C₂²	semidirect
76. #16813598	C₂²	semidirect
77. #16813597	C₂²	semidirect
78. #16813597	C₂²	semidirect
79. #16813596	C₂²	semidirect
80. #16813596	C₂²	semidirect
82. #16813595	C₂²	semidirect
83. #16813595	C₂²	semidirect
84. #16813595	C₂²	semidirect
85. #16813594	C₂²	semidirect
86. #16813594	C₂²	semidirect
87. #16813594	C₂²	semidirect
88. #16813594	C₂²	semidirect
93. C₄×Dic₂₂₆	C₂²	semidirect
94. #16813587	C₂²	semidirect
96. D₄×Dic₁₁₃	C₂²	semidirect
98. #16813584	C₂²	semidirect
100. C₄×C₂²⋊D₁₁₃	C₂²	semidirect
101. C₄×C₂²⋊D₁₁₃	C₂²	semidirect
103. #16813582	C₂²	semidirect
104. #16813582	C₂²	semidirect
105. #16813579	C₂²	semidirect
106. #16813578	C₂²	semidirect
107. C₂×#14268626	C₂²	semidirect
108. C₂×#14268626	C₂²	semidirect
109. C₄⋊C₄×D₁₁₃	C₂²	semidirect
110. C₄⋊C₄×D₁₁₃	C₂²	semidirect
115. C₂×#41×C₁₁₃	C₂²	semidirect
116. C₄⋊Q₈×C₁₁₃	C₂²	semidirect
117. #123×C₁₁₃	C₂²	semidirect
118. #123×C₁₁₃	C₂²	semidirect
119. C₂²⋊Q₈×C₁₁₃	C₂²	semidirect
120. C₂²⋊Q₈×C₁₁₃	C₂²	semidirect
121. #121×C₁₁₃	C₂²	semidirect
122. C₄×D₄×C₁₁₃	C₂²	semidirect
123. C₄×D₄×C₁₁₃	C₂²	semidirect
124. C₂×C₄⋊C₄×C₁₁₃	C₂²	semidirect
136. #14268646	D₄	semidirect
345. C₂×D₁₁₃	2₋¹⁺⁴	semidirect
373. C₁₁₃	#3489	semidirect
383. #547	D₁₁₃	semidirect
410. C₂×#41	C₂×D₁₁₃	semidirect
423. C₄⋊Q₈	C₂×D₁₁₃	semidirect
436. #123	C₂×D₁₁₃	semidirect
437. #123	C₂×D₁₁₃	semidirect
455. C₂²⋊Q₈	C₂×D₁₁₃	semidirect
456. C₂²⋊Q₈	C₂×D₁₁₃	semidirect
469. #121	C₂×D₁₁₃	semidirect
486. C₄×D₄	C₂×D₁₁₃	semidirect
487. C₄×D₄	C₂×D₁₁₃	semidirect
494. C₂×C₄⋊C₄	C₂×D₁₁₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#16813669	2
C₂×#41×D₁₁₃	2
#20299263	2
#20299261	2
#20299258	2
#20299257	2
#20299249	2
#20299247	2
#20299246	2
#20299243	2
#20299240	2
#20299237	2
#20299236	2
#20299178	2
#20299175	2
#20299173	2
#20299170	2
#20299107	2
#20299106	2
C₂×#16813600	2
C₂²⋊Q₈×D₁₁₃	2
#20299077	2
#547×C₁₁₃	2
#3489	113