Subgroups — #16797652

Order 3328.

1118 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃⋊#435	C₂	1	1	yes	maximal, characteristic
2	C₄×D₄×#261	C₂	1	1	yes	maximal, characteristic
3	#13130637	C₂	1	1	yes	maximal, characteristic, complemented
4	#13130634	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄⋊C₈×#261	C₂	1	1	yes	maximal, characteristic, complemented
6	#13130579	C₂	1	1	yes	maximal, characteristic, complemented
7	#13130576	C₂	1	1	yes	maximal, characteristic, complemented
8	#13130571	C₂	1	1	yes	maximal, characteristic, complemented
9	C₈×C₂²⋊#261	C₂	1	1	yes	maximal, characteristic, complemented
10	#13130564	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²⋊C₈×#261	C₂	1	1	yes	maximal, characteristic, complemented
12	#13130552	C₂	1	1	yes	maximal, characteristic, complemented
13	#13130498	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×(C₂×#261)⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
15	D₁₃×#435	C₂	1	1	yes	maximal, characteristic
16	C₂×D₄×#261	C₄	1	2	yes	—
17	C₂²×C₄×#261	C₂²	1	1	yes	characteristic
18	C₂²×C₄×#261	C₂²	1	1	yes	characteristic
19	C₂×D₁₃⋊M₁₆	C₂²	1	1	yes	characteristic
20	C₂²×D₁₃⋊C₈	C₂²	1	1	yes	characteristic
21	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
22	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
23	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
24	#11719144	C₄	1	2	yes	complemented
25	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
26	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
27	D₁₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic
28	D₁₃⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic
29	C₂×#88100	C₂²	1	1	yes	characteristic
30	C₂×#88100	C₂²	1	1	yes	characteristic
31	C₂×C₈×#261	C₂²	1	1	yes	characteristic
32	C₂×C₈×#261	C₂²	1	1	yes	characteristic
33	C₂×C₈×#261	C₂²	1	1	yes	characteristic
34	C₂×C₈×#261	C₂²	1	1	yes	characteristic
35	C₄⋊C₄×#261	C₄	1	2	yes	—
36	#11719075	C₄	1	2	yes	complemented
37	C₂²⋊C₄×#261	C₄	1	2	yes	—
38	C₂²⋊C₄×#261	C₄	1	2	yes	—
39	#11719065	C₄	1	2	yes	complemented
40	#11719064	C₄	1	2	yes	complemented
41	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
42	C₄²×#261	C₂²	1	1	yes	characteristic
43	D₁₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
44	#11719047	C₂²	1	1	yes	characteristic
45	C₁₃×#435	C₄	1	1	yes	characteristic, complemented
46	#11718788	C₄	1	1	yes	characteristic, complemented
47	#11718772	C₄	1	1	yes	characteristic, complemented
48	#11718672	C₄	1	1	yes	characteristic, complemented
49	#11718497	C₄	1	1	yes	characteristic, complemented
50	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
51	#11718391	C₄	1	1	yes	characteristic, complemented
52	#11718389	C₄	1	1	yes	characteristic, complemented
53	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
54	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
55	#11718367	C₄	1	1	yes	characteristic, complemented
56	D₁₃×#97	C₂²	1	1	yes	characteristic
57	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
58	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
59	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
60	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
61	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
62	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
63	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
64	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
65	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
66	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
67	C₂³×#261	C₂×C₄	1	2	yes	—
68	C₂³×#261	C₂×C₄	1	2	yes	—
69	C₂×D₄×D₁₃	C₂×C₄	1	1	yes	characteristic
70	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
71	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
72	C₂×C₂²⋊#261	C₂×C₄	1	2	yes	—
73	C₂×C₂²⋊#261	C₂×C₄	1	2	yes	—
74	C₂×#6122	C₂×C₄	1	2	yes	complemented
75	C₂²×#1057	C₂×C₄	1	2	yes	complemented
76	D₄×#261	—	2	8	no	—
77	C₂×C₄⋊#261	C₂×C₄	1	2	yes	—
78	C₂×C₄×#261	—	4	1	no	—
79	C₂×C₄×#261	—	4	1	no	—
80	C₂×C₄×#261	—	4	1	no	—
81	C₂×C₄×#261	—	4	1	no	—
82	C₂×C₄×#261	C₂×C₄	1	2	yes	—
83	C₂×C₄×#261	C₂×C₄	1	2	yes	—
84	C₂×C₄×#261	C₂×C₄	1	2	yes	—
85	C₂×C₄×#261	C₂×C₄	1	2	yes	—
86	C₂×C₄×#261	C₂³	1	1	yes	characteristic
87	C₂×C₄×#261	C₂³	1	1	yes	characteristic
88	C₂×C₄×#261	C₂³	1	1	yes	characteristic
89	C₂×C₄×#261	C₂³	1	1	yes	characteristic
90	D₁₃⋊M₁₆	—	4	1	no	—
91	D₁₃⋊M₁₆	—	4	1	no	—
92	C₂×#6118	C₂×C₄	1	2	yes	complemented
93	C₂×D₁₃⋊C₈	—	4	1	no	—
94	C₂×D₁₃⋊C₈	—	4	1	no	—
95	C₂×D₁₃⋊C₈	C₂×C₄	1	2	yes	complemented
96	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
97	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
98	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
99	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
100	C₂×C₁₃×M₁₆	C₂×C₄	1	1	yes	characteristic, complemented
101	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
102	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
103	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
104	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
105	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
106	C₂×#6099	C₂×C₄	1	1	yes	characteristic, complemented
107	C₂²×#1055	C₂×C₄	1	1	yes	characteristic, complemented
108	M₁₆×D₁₃	—	4	1	no	—
109	M₁₆×D₁₃	—	4	1	no	—
110	C₂×#6094	C₂×C₄	1	1	yes	characteristic, complemented
111	C₂×#6094	C₂×C₄	1	1	yes	characteristic, complemented
112	C₂×C₈×D₁₃	—	4	1	no	—
113	C₂×C₈×D₁₃	—	4	1	no	—
114	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
115	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
116	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
117	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
118	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
119	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
120	#88147	C₂×C₄	1	1	yes	characteristic
121	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
122	#88135	C₂×C₄	1	1	yes	characteristic
123	#88135	C₂×C₄	1	1	yes	characteristic
124	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
125	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
126	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
127	C₄²×D₁₃	C₂³	1	1	yes	characteristic
128	C₂²⋊#1057	C₂×C₄	1	2	yes	complemented
129	C₂²⋊#1057	C₂×C₄	1	2	yes	complemented
130	(C₂×#261)⋊C₄	C₂×C₄	1	2	yes	—
131	(C₂×#261)⋊C₄	C₂×C₄	1	2	yes	—
132	(C₂×#261)⋊C₄	C₂×C₄	1	2	yes	—
133	#88112	C₂×C₄	1	2	yes	complemented
134	#88111	C₂×C₄	1	2	yes	complemented
135	#88111	C₂×C₄	1	2	yes	complemented
136	#88110	C₂×C₄	1	2	yes	complemented
137	#88110	C₂×C₄	1	2	yes	complemented
138	C₄⋊#1057	C₂×C₄	1	2	yes	complemented
139	#88100	—	4	1	no	—
140	#88100	—	4	1	no	—
141	C₈×#261	—	4	1	no	—
142	C₈×#261	—	4	1	no	—
143	C₈×#261	—	4	1	no	—
144	C₈×#261	—	4	1	no	—
145	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic, complemented
146	C₁₃×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic, complemented
147	C₁₃×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic, complemented
148	C₁₃×#97	C₂×C₄	1	1	yes	characteristic, complemented
149	C₂²⋊#1055	C₂×C₄	1	1	yes	characteristic, complemented
150	C₂²⋊#1055	C₂×C₄	1	1	yes	characteristic, complemented
151	#88060	C₂×C₄	1	1	yes	characteristic, complemented
152	#88060	C₂×C₄	1	1	yes	characteristic, complemented
153	#88060	C₂×C₄	1	1	yes	characteristic, complemented
154	#88060	C₂×C₄	1	1	yes	characteristic, complemented
155	#88055	C₂×C₄	1	1	yes	characteristic, complemented
156	#88055	C₂×C₄	1	1	yes	characteristic, complemented
157	#88054	C₂×C₄	1	1	yes	characteristic, complemented
158	#88054	C₂×C₄	1	1	yes	characteristic, complemented
159	C₄⋊#1055	C₂×C₄	1	1	yes	characteristic, complemented
160	#88043	C₂×C₄	1	1	yes	characteristic, complemented
161	#20559	—	13	1	no	maximal, Sylow
162	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
163	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
164	C₂²×#261	—	2	4	no	—
165	C₂²×#261	—	2	4	no	—
166	C₂²×#261	—	2	4	no	—
167	C₂²×#261	—	2	4	no	—
168	C₂²×#261	—	4	2	no	—
169	C₂²×#261	—	4	2	no	—
170	C₂²×#261	C₂²×C₄	1	2	yes	—
171	C₂²×#261	C₂²×C₄	1	2	yes	—
172	C₂²×#261	C₂²×C₄	1	2	yes	—
173	C₂²×#261	C₂²×C₄	1	2	yes	—
174	C₂×D₄×C₁₃	C₄²	1	1	yes	characteristic
175	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
176	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
177	C₂×C₂²⋊D₁₃	C₄²	1	1	yes	characteristic
178	C₂×C₂²⋊D₁₃	C₄²	1	1	yes	characteristic
179	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
180	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
181	D₄×D₁₃	—	2	4	no	—
182	C₂×D₅₂	C₄²	1	1	yes	characteristic
183	C₂×C₄×D₁₃	—	2	1	no	—
184	C₂×C₄×D₁₃	—	2	1	no	—
185	C₂×C₄×D₁₃	—	2	1	no	—
186	C₂×C₄×D₁₃	—	2	1	no	—
187	C₂×C₄×D₁₃	—	2	1	no	—
188	C₂×C₄×D₁₃	—	2	1	no	—
189	C₂×C₄×D₁₃	—	2	1	no	—
190	C₂×C₄×D₁₃	—	2	1	no	—
191	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
192	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
193	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
194	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
195	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
196	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
197	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
198	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
199	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
200	C₂²⋊#261	—	2	4	no	—
201	C₂²⋊#261	M₁₆	1	8	yes	complemented
202	#6122	—	4	2	no	—
203	C₂×#1057	—	4	2	no	—
204	C₂×#1057	C₂²×C₄	1	2	yes	—
205	C₂×#1057	C₂²×C₄	1	2	yes	—
206	C₂×#1057	C₂²×C₄	1	2	yes	—
207	C₂×#1057	C₂²×C₄	1	2	yes	—
208	C₄⋊#261	—	2	4	no	—
209	C₄×#261	—	2	4	no	—
210	C₄×#261	—	2	4	no	—
211	C₄×#261	—	2	1	no	—
212	C₄×#261	—	2	1	no	—
213	C₄×#261	—	2	1	no	—
214	C₄×#261	—	2	1	no	—
215	C₄×#261	—	2	1	no	—
216	C₄×#261	—	2	1	no	—
217	C₄×#261	—	2	1	no	—
218	C₄×#261	—	2	1	no	—
219	C₄×#261	—	4	2	no	—
220	C₄×#261	—	4	2	no	—
221	#6118	—	4	2	no	—
222	D₁₃⋊C₈	—	2	1	no	—
223	D₁₃⋊C₈	—	2	1	no	—
224	D₁₃⋊C₈	—	2	1	no	—
225	D₁₃⋊C₈	—	2	1	no	—
226	D₁₃⋊C₈	—	2	1	no	—
227	D₁₃⋊C₈	—	2	1	no	—
228	D₁₃⋊C₈	—	2	1	no	—
229	D₁₃⋊C₈	—	2	1	no	—
230	D₁₃⋊C₈	—	4	2	no	—
231	C₁₃×M₁₆	—	4	1	no	—
232	C₂×C₈×C₁₃	—	4	1	no	—
233	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
234	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
235	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
236	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
237	C₁₃×C₄⋊C₄	C₄²	1	1	yes	characteristic
238	C₁₃×C₂²⋊C₄	C₄²	1	1	yes	characteristic
239	C₁₃×C₂²⋊C₄	C₄²	1	1	yes	characteristic
240	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
241	C₂²⋊Dic₁₃	C₄²	1	1	yes	characteristic
242	C₂²⋊Dic₁₃	C₄²	1	1	yes	characteristic
243	#6103	C₄²	1	1	yes	characteristic
244	#6103	C₄²	1	1	yes	characteristic
245	#6103	C₄²	1	1	yes	characteristic
246	#6103	C₄²	1	1	yes	characteristic
247	C₄⋊Dic₁₃	C₄²	1	1	yes	characteristic
248	#6101	C₄²	1	1	yes	characteristic
249	#6101	C₄²	1	1	yes	characteristic
250	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
251	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
252	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
253	#6099	—	4	1	no	—
254	C₂×#1055	—	4	1	no	—
255	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
256	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
257	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
258	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
259	#6094	—	4	1	no	—
260	#6094	—	4	1	no	—
261	C₈×D₁₃	—	2	1	no	—
262	C₈×D₁₃	—	2	1	no	—
263	C₈×D₁₃	—	2	1	no	—
264	C₈×D₁₃	—	2	1	no	—
265	C₈×D₁₃	—	2	1	no	—
266	C₈×D₁₃	—	2	1	no	—
267	C₈×D₁₃	—	2	1	no	—
268	C₈×D₁₃	—	2	1	no	—
269	C₈×D₁₃	—	4	1	no	—
270	C₈×D₁₃	—	4	1	no	—
271	C₂×#435	—	13	1	no	—
272	C₂×#435	—	13	1	no	—
273	C₄²×D₄	—	13	1	no	—
274	#1771	—	13	1	no	—
275	#1771	—	13	1	no	—
276	C₄×C₄⋊C₈	—	13	1	no	—
277	#1753	—	13	1	no	—
278	#1753	—	13	1	no	—
279	C₈×C₂²⋊C₄	—	13	1	no	—
280	C₈×C₂²⋊C₄	—	13	1	no	—
281	#1749	—	13	1	no	—
282	C₄×C₂²⋊C₈	—	13	1	no	—
283	#1745	—	13	1	no	—
284	#1728	—	13	1	no	—
285	C₂×#336	—	13	1	no	—
286	C₂³×C₁₃	C₂×C₄²	1	1	yes	characteristic
287	C₂³×C₁₃	C₂×C₄²	1	1	yes	characteristic
288	C₂²×D₁₃	—	2	1	no	—
289	C₂²×D₁₃	—	2	1	no	—
290	C₂²×D₁₃	—	2	2	no	—
291	C₂²×D₁₃	—	2	1	no	—
292	C₂²×D₁₃	—	2	1	no	—
293	C₂²×D₁₃	—	2	2	no	—
294	C₂²×D₁₃	—	2	2	no	—
295	C₂²×D₁₃	C₂×C₄²	1	1	yes	characteristic
296	C₂²×D₁₃	C₂×C₄²	1	1	yes	characteristic
297	C₂²×D₁₃	C₂×M₁₆	1	4	yes	—
298	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
299	C₂×#261	—	2	2	no	—
300	C₂×#261	—	2	2	no	—
301	C₂×#261	—	2	2	no	—
302	C₂×#261	—	2	2	no	—
303	C₂×#261	—	2	2	no	—
304	C₂×#261	—	2	2	no	—
305	C₂×#261	—	2	2	no	—
306	C₂×#261	—	2	2	no	—
307	C₂×#261	—	2	2	no	—
308	C₂×#261	—	4	8	no	—
309	C₂×#261	—	4	8	no	—
310	C₂×#261	C₂×M₁₆	1	4	yes	—
311	C₂×#261	C₂×M₁₆	1	4	yes	—
312	C₂×#261	#131	1	4	yes	—
313	D₄×C₁₃	—	2	2	no	—
314	C₂×C₄×C₁₃	—	2	1	no	—
315	C₂×C₄×C₁₃	—	2	1	no	—
316	C₂×C₄×C₁₃	—	2	1	no	—
317	C₂×C₄×C₁₃	—	2	1	no	—
318	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
319	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
320	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
321	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
322	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
323	C₂²⋊D₁₃	—	2	2	no	—
324	C₂²⋊D₁₃	—	2	2	no	—
325	C₂×Dic₁₃	—	2	1	no	—
326	C₂×Dic₁₃	—	2	1	no	—
327	C₂×Dic₁₃	—	2	1	no	—
328	C₂×Dic₁₃	—	2	1	no	—
329	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
330	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
331	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
332	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
333	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
334	D₅₂	—	2	2	no	—
335	C₄×D₁₃	—	2	1	no	—
336	C₄×D₁₃	—	2	1	no	—
337	C₄×D₁₃	—	2	1	no	—
338	C₄×D₁₃	—	2	1	no	—
339	C₄×D₁₃	—	2	2	no	—
340	C₄×D₁₃	—	2	2	no	—
341	C₄×D₁₃	—	2	1	no	—
342	C₄×D₁₃	—	2	1	no	—
343	C₄×D₁₃	—	2	1	no	—
344	C₄×D₁₃	—	2	1	no	—
345	C₄×D₁₃	—	2	1	no	—
346	C₄×D₁₃	—	2	1	no	—
347	C₄×D₁₃	—	2	1	no	—
348	C₄×D₁₃	—	2	1	no	—
349	C₄×D₁₃	H(5,𝔽₂)	1	1	yes	characteristic
350	C₄×D₁₃	H(5,𝔽₂)	1	1	yes	characteristic
351	C₄×D₁₃	H(5,𝔽₂)	1	1	yes	characteristic
352	C₄×D₁₃	2₋¹⁺⁴	1	1	yes	characteristic
353	#1057	—	2	2	no	—
354	#1057	—	2	2	no	—
355	#1057	—	2	2	no	—
356	#1057	—	2	2	no	—
357	C₈×C₁₃	—	2	1	no	—
358	C₈×C₁₃	—	2	1	no	—
359	C₈×C₁₃	—	2	1	no	—
360	C₈×C₁₃	—	2	1	no	—
361	#1055	—	2	1	no	—
362	#1055	—	2	1	no	—
363	#1055	—	2	1	no	—
364	#1055	—	2	1	no	—
365	C₂²×M₁₆	—	13	1	no	—
366	C₂²×M₁₆	—	13	1	no	—
367	C₂³×C₈	—	13	1	no	—
368	C₂³×C₈	—	13	1	no	—
369	C₂×C₄×D₄	—	13	1	no	—
370	C₂×C₄×D₄	—	13	2	no	—
371	C₂²×C₄²	—	13	1	no	—
372	C₂²×C₄²	—	13	1	no	—
373	#435	—	13	2	no	—
374	#435	—	13	2	no	—
375	#435	—	13	2	no	—
376	#435	—	13	2	no	—
377	#435	—	13	1	no	—
378	#435	—	13	1	no	—
379	#435	—	13	1	no	—
380	#435	—	13	1	no	—
381	#435	—	13	1	no	—
382	#435	—	13	1	no	—
383	#435	—	13	1	no	—
384	#435	#261	1	1	yes	characteristic, complemented
385	C₂×C₄⋊C₈	—	13	1	no	—
386	C₂×C₄⋊C₈	—	13	1	no	—
387	C₂×C₂²⋊C₈	—	13	1	no	—
388	C₂×C₂²⋊C₈	—	13	1	no	—
389	C₂×C₂²⋊C₈	—	13	1	no	—
390	C₂×C₂²⋊C₈	—	13	1	no	—
391	C₂×#97	—	13	1	no	—
392	C₂×#97	—	13	1	no	—
393	C₂×#97	—	13	1	no	—
394	C₂×#97	—	13	1	no	—
395	C₂×C₄×C₈	—	13	1	no	—
396	C₂×C₄×C₈	—	13	1	no	—
397	C₂×C₄×C₈	—	13	1	no	—
398	C₂×C₄×C₈	—	13	1	no	—
399	C₄×C₄⋊C₄	—	13	1	no	—
400	C₄×C₄⋊C₄	—	13	2	no	—
401	C₄×C₂²⋊C₄	—	13	2	no	—
402	C₄×C₂²⋊C₄	—	13	2	no	—
403	C₄×C₂²⋊C₄	—	13	1	no	—
404	C₄×C₂²⋊C₄	—	13	1	no	—
405	C₄³	—	13	1	no	—
406	#336	—	13	1	no	—
407	#336	—	13	1	no	—
408	#336	—	13	1	no	—
409	#336	—	13	1	no	—
410	#336	—	13	1	no	—
411	#336	—	13	1	no	—
412	#336	—	13	1	no	—
413	#336	—	13	1	no	—
414	#336	—	13	1	no	—
415	#336	—	13	1	no	—
416	C₂²×C₁₃	—	2	1	no	—
417	C₂²×C₁₃	—	2	1	no	—
418	C₂²×C₁₃	—	2	1	no	—
419	C₂²×C₁₃	—	2	1	no	—
420	C₂²×C₁₃	—	2	1	no	—
421	C₂²×C₁₃	C₄×M₁₆	1	2	yes	—
422	C₂²×C₁₃	C₂²×C₄²	1	1	yes	characteristic
423	C₂×D₁₃	—	2	1	no	—
424	C₂×D₁₃	—	2	1	no	—
425	C₂×D₁₃	—	2	4	no	—
426	C₂×D₁₃	—	2	4	no	—
427	C₂×D₁₃	—	2	1	no	—
428	C₂×D₁₃	—	2	1	no	—
429	C₂×D₁₃	—	2	1	no	—
430	C₂×D₁₃	—	4	2	no	—
431	C₂×D₁₃	—	4	2	no	—
432	C₂×D₁₃	C₄×M₁₆	1	2	yes	—
433	C₂×D₁₃	#518	1	1	yes	characteristic
434	C₂×D₁₃	#520	1	1	yes	characteristic
435	C₂×D₁₃	C₂²×M₁₆	1	2	yes	—
436	C₂×D₁₃	C₂×#131	1	2	yes	—
437	#261	—	2	4	no	—
438	#261	—	2	4	no	—
439	#261	—	2	4	no	—
440	#261	—	4	2	no	—
441	C₄×C₁₃	—	2	1	no	—
442	C₄×C₁₃	—	2	1	no	—
443	C₄×C₁₃	—	2	1	no	—
444	C₄×C₁₃	—	2	1	no	—
445	C₄×C₁₃	#518	1	1	yes	characteristic
446	C₄×C₁₃	#520	1	1	yes	characteristic
447	Dic₁₃	—	2	1	no	—
448	Dic₁₃	—	2	1	no	—
449	Dic₁₃	—	2	1	no	—
450	Dic₁₃	—	2	1	no	—
451	Dic₁₃	#518	1	1	yes	characteristic
452	Dic₁₃	#520	1	1	yes	characteristic
453	C₂²×D₄	—	13	1	no	—
454	C₂³×C₄	—	13	1	no	—
455	C₂³×C₄	—	13	1	no	—
456	C₂³×C₄	—	13	2	no	—
457	C₂³×C₄	—	13	2	no	—
458	C₂×M₁₆	—	13	2	no	—
459	C₂×M₁₆	—	13	2	no	—
460	C₂×M₁₆	—	13	1	no	—
461	C₂×M₁₆	—	13	1	no	—
462	C₂×M₁₆	—	13	1	no	—
463	C₂×M₁₆	—	52	1	no	—
464	C₂×M₁₆	—	52	1	no	—
465	C₂×M₁₆	—	52	1	no	—
466	C₂×M₁₆	—	52	1	no	—
467	C₂×M₁₆	C₂×#261	1	1	yes	characteristic, complemented
468	C₂²×C₈	—	13	1	no	—
469	C₂²×C₈	—	13	1	no	—
470	C₂²×C₈	—	13	1	no	—
471	C₂²×C₈	—	13	1	no	—
472	C₂²×C₈	—	13	2	no	—
473	C₂²×C₈	—	13	2	no	—
474	C₂²×C₈	—	13	1	no	—
475	C₂²×C₈	—	13	1	no	—
476	C₂²×C₈	—	13	1	no	—
477	C₂²×C₈	—	13	1	no	—
478	C₂²×C₈	—	13	1	no	—
479	C₂²×C₈	—	13	1	no	—
480	C₂²×C₈	—	13	1	no	—
481	C₂²×C₈	—	52	1	no	—
482	C₂²×C₈	—	52	1	no	—
483	C₂²×C₈	—	52	1	no	—
484	C₂²×C₈	—	52	1	no	—
485	C₂²×C₈	C₂×#261	1	1	yes	characteristic, complemented
486	C₄×D₄	—	13	1	no	—
487	C₄×D₄	—	13	1	no	—
488	C₄×D₄	—	13	1	no	—
489	C₄×D₄	—	13	1	no	—
490	C₄×D₄	—	13	1	no	—
491	C₄×D₄	—	13	1	no	—
492	C₄×D₄	—	13	1	no	—
493	C₄×D₄	—	26	8	no	—
494	C₄×D₄	C₂×#261	1	1	yes	characteristic
495	C₂×C₄⋊C₄	—	13	1	no	—
496	C₂×C₄⋊C₄	—	13	2	no	—
497	C₂×C₂²⋊C₄	—	13	2	no	—
498	C₂×C₂²⋊C₄	—	13	1	no	—
499	C₂×C₂²⋊C₄	—	13	1	no	—
500	C₂×C₂²⋊C₄	—	13	2	no	—
501	C₂×C₄²	—	13	1	no	—
502	C₂×C₄²	—	13	2	no	—
503	C₂×C₄²	—	13	1	no	—
504	C₂×C₄²	—	13	1	no	—
505	C₂×C₄²	—	13	1	no	—
506	C₂×C₄²	—	13	1	no	—
507	C₂×C₄²	—	13	2	no	—
508	C₂×C₄²	—	13	2	no	—
509	C₂×C₄²	—	13	2	no	—
510	C₂×C₄²	—	52	1	no	—
511	C₂×C₄²	—	52	1	no	—
512	C₂×C₄²	—	52	1	no	—
513	C₂×C₄²	—	52	1	no	—
514	C₄⋊C₈	—	13	2	no	—
515	C₄⋊C₈	—	13	2	no	—
516	C₄⋊C₈	—	13	1	no	—
517	C₄⋊C₈	—	13	1	no	—
518	C₄⋊C₈	—	13	1	no	—
519	C₄⋊C₈	C₂×#261	1	1	yes	characteristic, complemented
520	C₂²⋊C₈	—	13	2	no	—
521	C₂²⋊C₈	—	13	2	no	—
522	C₂²⋊C₈	—	13	2	no	—
523	C₂²⋊C₈	—	13	2	no	—
524	C₂²⋊C₈	—	13	1	no	—
525	C₂²⋊C₈	—	13	1	no	—
526	C₂²⋊C₈	—	13	1	no	—
527	C₂²⋊C₈	—	13	1	no	—
528	C₂²⋊C₈	—	13	1	no	—
529	C₂²⋊C₈	—	13	1	no	—
530	C₂²⋊C₈	C₂×#261	1	1	yes	characteristic, complemented
531	C₂²⋊C₈	C₂×#261	1	1	yes	characteristic, complemented
532	#97	—	13	2	no	—
533	#97	—	13	2	no	—
534	#97	—	13	1	no	—
535	#97	—	13	1	no	—
536	#97	—	13	1	no	—
537	#97	—	52	1	no	—
538	#97	—	52	1	no	—
539	#97	C₂×#261	1	1	yes	characteristic, complemented
540	C₄×C₈	—	52	1	no	—
541	C₄×C₈	—	52	1	no	—
542	C₄×C₈	—	52	1	no	—
543	C₄×C₈	—	52	1	no	—
544	#95	—	13	2	no	—
545	#95	—	13	2	no	—
546	#95	—	13	2	no	—
547	C₂×C₁₃	—	2	2	no	—
548	C₂×C₁₃	—	4	1	no	—
549	C₂×C₁₃	#2275	1	1	yes	characteristic
550	C₂×C₁₃	C₂×C₄×M₁₆	1	1	yes	characteristic
551	C₂×C₁₃	C₄×#131	1	1	yes	characteristic
552	D₁₃	—	2	2	no	—
553	D₁₃	—	4	1	no	—
554	D₁₃	#2974	1	2	yes	—
555	D₁₃	#2990	1	2	yes	—
556	C₂⁴	—	13	1	no	—
557	C₂⁴	—	13	1	no	—
558	C₂×D₄	—	13	1	no	—
559	C₂×D₄	—	13	1	no	—
560	C₂×D₄	—	13	1	no	—
561	C₂×D₄	—	26	4	no	—
562	C₂×D₄	C₄×#261	1	1	yes	characteristic
563	C₂²×C₄	—	13	1	no	—
564	C₂²×C₄	—	13	2	no	—
565	C₂²×C₄	—	13	2	no	—
566	C₂²×C₄	—	13	2	no	—
567	C₂²×C₄	—	13	1	no	—
568	C₂²×C₄	—	13	1	no	—
569	C₂²×C₄	—	13	1	no	—
570	C₂²×C₄	—	13	1	no	—
571	C₂²×C₄	—	13	1	no	—
572	C₂²×C₄	—	13	1	no	—
573	C₂²×C₄	—	13	1	no	—
574	C₂²×C₄	—	13	1	no	—
575	C₂²×C₄	—	13	1	no	—
576	C₂²×C₄	—	13	1	no	—
577	C₂²×C₄	—	13	2	no	—
578	C₂²×C₄	—	26	1	no	—
579	C₂²×C₄	—	26	1	no	—
580	C₂²×C₄	—	26	1	no	—
581	C₂²×C₄	—	26	1	no	—
582	C₂²×C₄	—	26	1	no	—
583	C₂²×C₄	—	26	1	no	—
584	C₂²×C₄	—	26	1	no	—
585	C₂²×C₄	—	26	1	no	—
586	C₂²×C₄	—	26	4	no	—
587	C₂²×C₄	—	26	4	no	—
588	C₂²×C₄	—	26	4	no	—
589	C₂²×C₄	—	26	4	no	—
590	C₂²×C₄	—	52	2	no	—
591	C₂²×C₄	—	52	2	no	—
592	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
593	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
594	M₁₆	—	4	1	no	—
595	M₁₆	—	52	1	no	—
596	M₁₆	—	52	1	no	—
597	M₁₆	—	52	1	no	—
598	M₁₆	—	52	2	no	—
599	M₁₆	—	52	2	no	—
600	C₂×C₈	—	4	1	no	—
601	C₂×C₈	—	13	2	no	—
602	C₂×C₈	—	13	2	no	—
603	C₂×C₈	—	13	2	no	—
604	C₂×C₈	—	13	2	no	—
605	C₂×C₈	—	13	1	no	—
606	C₂×C₈	—	13	1	no	—
607	C₂×C₈	—	13	1	no	—
608	C₂×C₈	—	13	1	no	—
609	C₂×C₈	—	26	1	no	—
610	C₂×C₈	—	26	1	no	—
611	C₂×C₈	—	26	1	no	—
612	C₂×C₈	—	26	1	no	—
613	C₂×C₈	—	26	1	no	—
614	C₂×C₈	—	26	1	no	—
615	C₂×C₈	—	26	1	no	—
616	C₂×C₈	—	26	1	no	—
617	C₂×C₈	—	26	1	no	—
618	C₂×C₈	—	26	1	no	—
619	C₂×C₈	—	26	1	no	—
620	C₂×C₈	—	26	1	no	—
621	C₂×C₈	—	26	1	no	—
622	C₂×C₈	—	26	1	no	—
623	C₂×C₈	—	26	1	no	—
624	C₂×C₈	—	26	1	no	—
625	C₂×C₈	—	52	1	no	—
626	C₂×C₈	—	52	1	no	—
627	C₂×C₈	—	52	1	no	—
628	C₂×C₈	—	52	2	no	—
629	C₂×C₈	—	52	2	no	—
630	C₂×C₈	C₂²×#261	1	1	yes	characteristic
631	C₂×C₈	C₂²×#261	1	1	yes	characteristic
632	C₂×C₈	C₂²×#261	1	1	yes	characteristic
633	C₂×C₈	C₂²×#261	1	1	yes	characteristic
634	C₄⋊C₄	—	13	1	no	—
635	C₄⋊C₄	—	13	1	no	—
636	C₄⋊C₄	—	13	1	no	—
637	C₄⋊C₄	—	26	4	no	—
638	C₄⋊C₄	C₄×#261	1	1	yes	characteristic
639	C₂²⋊C₄	—	13	8	no	—
640	C₂²⋊C₄	—	13	1	no	—
641	C₂²⋊C₄	—	13	1	no	—
642	C₂²⋊C₄	—	13	1	no	—
643	C₂²⋊C₄	—	13	1	no	—
644	C₂²⋊C₄	—	13	1	no	—
645	C₂²⋊C₄	—	13	1	no	—
646	C₂²⋊C₄	—	26	4	no	—
647	C₂²⋊C₄	C₄×#261	1	1	yes	characteristic
648	C₂²⋊C₄	C₄×#261	1	1	yes	characteristic
649	C₄²	—	13	1	no	—
650	C₄²	—	13	1	no	—
651	C₄²	—	13	1	no	—
652	C₄²	—	26	1	no	—
653	C₄²	—	26	1	no	—
654	C₄²	—	26	1	no	—
655	C₄²	—	26	1	no	—
656	C₄²	—	26	1	no	—
657	C₄²	—	26	1	no	—
658	C₄²	—	26	1	no	—
659	C₄²	—	26	4	no	—
660	C₄²	—	26	1	no	—
661	C₄²	—	26	4	no	—
662	C₄²	—	52	2	no	—
663	C₄²	—	52	2	no	—
664	C₄²	C₂²×#261	1	1	yes	characteristic
665	C₁₃	#20559	1	1	yes	characteristic, complemented, Sylow
666	C₂³	—	13	1	no	—
667	C₂³	—	13	4	no	—
668	C₂³	—	13	1	no	—
669	C₂³	—	13	1	no	—
670	C₂³	—	26	1	no	—
671	C₂³	—	26	1	no	—
672	C₂³	—	26	2	no	—
673	C₂³	—	26	2	no	—
674	C₂³	—	26	1	no	—
675	C₂³	—	26	1	no	—
676	C₂³	—	26	2	no	—
677	C₂³	C₂×C₄×#261	1	1	yes	characteristic
678	C₂³	C₂×C₄×#261	1	1	yes	characteristic
679	D₄	—	2	2	no	—
680	D₄	—	26	2	no	—
681	D₄	—	26	2	no	—
682	D₄	—	26	2	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	13	1	no	—
688	C₂×C₄	—	13	1	no	—
689	C₂×C₄	—	13	1	no	—
690	C₂×C₄	—	13	1	no	—
691	C₂×C₄	—	13	1	no	—
692	C₂×C₄	—	13	4	no	—
693	C₂×C₄	—	13	4	no	—
694	C₂×C₄	—	13	4	no	—
695	C₂×C₄	—	13	1	no	—
696	C₂×C₄	—	13	1	no	—
697	C₂×C₄	—	13	1	no	—
698	C₂×C₄	—	13	1	no	—
699	C₂×C₄	—	26	1	no	—
700	C₂×C₄	—	26	1	no	—
701	C₂×C₄	—	26	1	no	—
702	C₂×C₄	—	26	1	no	—
703	C₂×C₄	—	26	2	no	—
704	C₂×C₄	—	26	2	no	—
705	C₂×C₄	—	26	1	no	—
706	C₂×C₄	—	26	1	no	—
707	C₂×C₄	—	26	1	no	—
708	C₂×C₄	—	26	1	no	—
709	C₂×C₄	—	26	1	no	—
710	C₂×C₄	—	26	1	no	—
711	C₂×C₄	—	26	1	no	—
712	C₂×C₄	—	26	1	no	—
713	C₂×C₄	—	26	2	no	—
714	C₂×C₄	—	26	2	no	—
715	C₂×C₄	—	26	2	no	—
716	C₂×C₄	—	26	2	no	—
717	C₂×C₄	—	26	2	no	—
718	C₂×C₄	—	26	2	no	—
719	C₂×C₄	—	26	1	no	—
720	C₂×C₄	—	26	1	no	—
721	C₂×C₄	—	26	1	no	—
722	C₂×C₄	—	26	1	no	—
723	C₂×C₄	—	26	2	no	—
724	C₂×C₄	—	26	2	no	—
725	C₂×C₄	—	26	2	no	—
726	C₂×C₄	—	52	8	no	—
727	C₂×C₄	—	52	8	no	—
728	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
729	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
730	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
731	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
732	C₂×C₄	C₂³×#261	1	1	yes	characteristic
733	C₈	—	2	1	no	—
734	C₈	—	2	1	no	—
735	C₈	—	2	1	no	—
736	C₈	—	2	1	no	—
737	C₈	—	26	2	no	—
738	C₈	—	26	2	no	—
739	C₈	—	26	2	no	—
740	C₈	—	26	2	no	—
741	C₈	—	26	1	no	—
742	C₈	—	26	1	no	—
743	C₈	—	26	1	no	—
744	C₈	—	26	1	no	—
745	C₂²	—	2	1	no	—
746	C₂²	—	2	1	no	—
747	C₂²	—	2	1	no	—
748	C₂²	—	2	1	no	—
749	C₂²	—	2	1	no	—
750	C₂²	—	13	1	no	—
751	C₂²	—	13	1	no	—
752	C₂²	—	13	2	no	—
753	C₂²	—	13	2	no	—
754	C₂²	—	13	2	no	—
755	C₂²	—	26	4	no	—
756	C₂²	—	26	4	no	—
757	C₂²	—	26	1	no	—
758	C₂²	—	26	1	no	—
759	C₂²	—	26	1	no	—
760	C₂²	—	26	1	no	—
761	C₂²	—	26	1	no	—
762	C₂²	—	52	2	no	—
763	C₂²	—	52	2	no	—
764	C₂²	M₁₆×#261	1	2	yes	—
765	C₂²	C₂²×C₄×#261	1	1	yes	characteristic
766	C₄	—	2	1	no	—
767	C₄	—	2	1	no	—
768	C₄	—	2	1	no	—
769	C₄	—	2	1	no	—
770	C₄	—	13	1	no	—
771	C₄	—	13	1	no	—
772	C₄	—	26	4	no	—
773	C₄	—	26	4	no	—
774	C₄	—	26	4	no	—
775	C₄	—	26	1	no	—
776	C₄	—	26	1	no	—
777	C₄	—	26	1	no	—
778	C₄	—	26	1	no	—
779	C₄	—	52	2	no	—
780	C₄	#11719623	1	1	yes	characteristic
781	C₄	#11719631	1	1	yes	characteristic
782	C₂	—	2	2	no	—
783	C₂	—	4	1	no	—
784	C₂	—	13	2	no	—
785	C₂	—	13	2	no	—
786	C₂	—	26	2	no	—
787	C₂	—	52	1	no	—
788	C₂	#13131275	1	1	yes	characteristic
789	C₂	C₂×M₁₆×#261	1	1	yes	characteristic
790	C₂	#131×#261	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×#261
commutator, socle	C₂²×C₁₃	C₂²×C₄²
Fitting	C₁₃×#435	C₄
prime radical	C₂×D₄×D₁₃	C₂×C₄
cosocle	C₂×C₄×D₁₃	C₂⁴
hypercenter	#435	#261
hypocenter	C₁₃	#20559
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #435

Complements

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

N	H ≅ G/N	type
3. #13130637	C₂	semidirect
4. #13130634	C₂	semidirect
5. C₄⋊C₈×#261	C₂	semidirect
6. #13130579	C₂	semidirect
7. #13130576	C₂	semidirect
8. #13130571	C₂	semidirect
9. C₈×C₂²⋊#261	C₂	semidirect
10. #13130564	C₂	semidirect
11. C₂²⋊C₈×#261	C₂	semidirect
12. #13130552	C₂	semidirect
13. #13130498	C₂	semidirect
14. C₂×(C₂×#261)⋊C₈	C₂	semidirect
24. #11719144	C₄	semidirect
36. #11719075	C₄	semidirect
39. #11719065	C₄	semidirect
40. #11719064	C₄	semidirect
45. C₁₃×#435	C₄	semidirect
46. #11718788	C₄	semidirect
47. #11718772	C₄	semidirect
48. #11718672	C₄	semidirect
49. #11718497	C₄	semidirect
51. #11718391	C₄	semidirect
52. #11718389	C₄	semidirect
55. #11718367	C₄	semidirect
74. C₂×#6122	C₂×C₄	semidirect
75. C₂²×#1057	C₂×C₄	semidirect
92. C₂×#6118	C₂×C₄	semidirect
95. C₂×D₁₃⋊C₈	C₂×C₄	semidirect
100. C₂×C₁₃×M₁₆	C₂×C₄	semidirect
101. C₂²×C₈×C₁₃	C₂×C₄	semidirect
106. C₂×#6099	C₂×C₄	semidirect
107. C₂²×#1055	C₂×C₄	semidirect
110. C₂×#6094	C₂×C₄	semidirect
111. C₂×#6094	C₂×C₄	semidirect
114. C₂×C₈×D₁₃	C₂×C₄	semidirect
115. C₂×C₈×D₁₃	C₂×C₄	semidirect
128. C₂²⋊#1057	C₂×C₄	semidirect
129. C₂²⋊#1057	C₂×C₄	semidirect
133. #88112	C₂×C₄	semidirect
134. #88111	C₂×C₄	semidirect
135. #88111	C₂×C₄	semidirect
136. #88110	C₂×C₄	semidirect
137. #88110	C₂×C₄	semidirect
138. C₄⋊#1057	C₂×C₄	semidirect
145. C₁₃×C₄⋊C₈	C₂×C₄	semidirect
146. C₁₃×C₂²⋊C₈	C₂×C₄	semidirect
147. C₁₃×C₂²⋊C₈	C₂×C₄	semidirect
148. C₁₃×#97	C₂×C₄	semidirect
149. C₂²⋊#1055	C₂×C₄	semidirect
150. C₂²⋊#1055	C₂×C₄	semidirect
151. #88060	C₂×C₄	semidirect
152. #88060	C₂×C₄	semidirect
153. #88060	C₂×C₄	semidirect
154. #88060	C₂×C₄	semidirect
155. #88055	C₂×C₄	semidirect
156. #88055	C₂×C₄	semidirect
157. #88054	C₂×C₄	semidirect
158. #88054	C₂×C₄	semidirect
159. C₄⋊#1055	C₂×C₄	semidirect
160. #88043	C₂×C₄	semidirect
201. C₂²⋊#261	M₁₆	semidirect
384. #435	#261	semidirect
467. C₂×M₁₆	C₂×#261	semidirect
485. C₂²×C₈	C₂×#261	semidirect
519. C₄⋊C₈	C₂×#261	semidirect
530. C₂²⋊C₈	C₂×#261	semidirect
531. C₂²⋊C₈	C₂×#261	semidirect
539. #97	C₂×#261	semidirect
665. C₁₃	#20559	semidirect

Maximal subgroups

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

subgroup	index
D₁₃⋊#435	2
C₄×D₄×#261	2
#13130637	2
#13130634	2
C₄⋊C₈×#261	2
#13130579	2
#13130576	2
#13130571	2
C₈×C₂²⋊#261	2
#13130564	2
C₂²⋊C₈×#261	2
#13130552	2
#13130498	2
C₂×(C₂×#261)⋊C₈	2
D₁₃×#435	2
#20559	13