Subgroups — #16797375

Order 3328.

1246 conjugacy classes of subgroups.

The subgroup lattice has 804 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	C₂×M₁₆×#261	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#88100	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×D₄×#261	C₂	1	1	yes	maximal, characteristic
5	#13130637	C₂	1	1	yes	maximal, characteristic, complemented
6	#13130634	C₂	1	1	yes	maximal, characteristic, complemented
7	#13130623	C₂	1	1	yes	maximal, characteristic, complemented
8	#13130579	C₂	1	1	yes	maximal, characteristic, complemented
9	#13130576	C₂	1	1	yes	maximal, characteristic, complemented
10	#13130571	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×C₂²⋊#261	C₂	1	1	yes	maximal, characteristic, complemented
12	#13130564	C₂	1	1	yes	maximal, characteristic, complemented
13	#13130564	C₂	1	1	yes	maximal, characteristic, complemented
14	#97×#261	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	M₁₆×#261	—	2	4	no	—
30	C₂×#88100	—	2	4	no	—
31	C₂×#88100	C₂²	1	1	yes	characteristic
32	C₂×#88100	C₂²	1	1	yes	characteristic
33	C₂×#88100	C₂²	1	1	yes	characteristic
34	C₂×#88100	C₂²	1	1	yes	characteristic
35	C₂×#88100	C₂²	1	1	yes	characteristic
36	C₂×#88100	C₂²	1	1	yes	characteristic
37	C₂×C₈×#261	C₂²	1	1	yes	characteristic
38	C₂×C₈×#261	C₂²	1	1	yes	characteristic
39	C₂×C₈×#261	C₂²	1	1	yes	characteristic
40	C₂×C₈×#261	C₂²	1	1	yes	characteristic
41	C₄⋊C₄×#261	C₄	1	2	yes	—
42	#11719075	C₄	1	2	yes	complemented
43	C₂²⋊C₄×#261	C₄	1	2	yes	—
44	C₂²⋊C₄×#261	C₄	1	2	yes	—
45	#11719065	C₄	1	2	yes	complemented
46	#11719064	C₄	1	2	yes	complemented
47	C₄×C₄⋊#261	C₂²	1	1	yes	characteristic
48	C₄²×#261	C₂²	1	1	yes	characteristic
49	D₁₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
50	#11719047	C₂²	1	1	yes	characteristic
51	C₁₃×#435	C₄	1	1	yes	characteristic, complemented
52	#11718788	C₄	1	1	yes	characteristic, complemented
53	#11718772	C₄	1	1	yes	characteristic, complemented
54	#11718672	C₄	1	1	yes	characteristic, complemented
55	#11718497	C₄	1	1	yes	characteristic, complemented
56	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
57	#11718391	C₄	1	1	yes	characteristic, complemented
58	#11718389	C₄	1	1	yes	characteristic, complemented
59	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
60	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
61	#11718367	C₄	1	1	yes	characteristic, complemented
62	D₁₃×#97	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	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
68	(C₂×#261)⋊C₈	C₂²	1	1	yes	characteristic
69	C₂³×#261	C₂×C₄	1	2	yes	—
70	C₂³×#261	C₂×C₄	1	2	yes	—
71	C₂×D₄×D₁₃	C₂×C₄	1	1	yes	characteristic
72	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
73	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
74	C₂×C₂²⋊#261	C₂×C₄	1	2	yes	—
75	C₂×C₂²⋊#261	C₂×C₄	1	2	yes	—
76	C₂×#6122	C₂×C₄	1	2	yes	complemented
77	C₂²×#1057	C₂×C₄	1	2	yes	complemented
78	D₄×#261	—	2	8	no	—
79	C₂×C₄⋊#261	C₂×C₄	1	2	yes	—
80	C₂×C₄×#261	—	2	2	no	—
81	C₂×C₄×#261	—	2	2	no	—
82	C₂×C₄×#261	—	2	2	no	—
83	C₂×C₄×#261	—	2	2	no	—
84	C₂×C₄×#261	C₂×C₄	1	2	yes	—
85	C₂×C₄×#261	C₂×C₄	1	2	yes	—
86	C₂×C₄×#261	C₂×C₄	1	2	yes	—
87	C₂×C₄×#261	C₂×C₄	1	2	yes	—
88	C₂×C₄×#261	C₂³	1	1	yes	characteristic
89	C₂×C₄×#261	C₂³	1	1	yes	characteristic
90	C₂×C₄×#261	C₂³	1	1	yes	characteristic
91	C₂×C₄×#261	C₂³	1	1	yes	characteristic
92	D₁₃⋊M₁₆	—	2	2	no	—
93	D₁₃⋊M₁₆	—	2	2	no	—
94	C₂×#6118	C₂×C₄	1	2	yes	complemented
95	C₂×D₁₃⋊C₈	—	2	2	no	—
96	C₂×D₁₃⋊C₈	—	2	2	no	—
97	C₂×D₁₃⋊C₈	C₂×C₄	1	2	yes	complemented
98	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
99	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
100	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
101	C₂×D₁₃⋊C₈	C₂³	1	1	yes	characteristic
102	C₂×C₁₃×M₁₆	C₂×C₄	1	1	yes	characteristic, complemented
103	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic, complemented
104	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
105	D₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
106	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
107	C₄×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
108	C₂×#6099	C₂×C₄	1	1	yes	characteristic, complemented
109	C₂²×#1055	C₂×C₄	1	1	yes	characteristic, complemented
110	M₁₆×D₁₃	—	2	2	no	—
111	M₁₆×D₁₃	—	2	2	no	—
112	C₂×#6094	C₂×C₄	1	1	yes	characteristic, complemented
113	C₂×#6094	C₂×C₄	1	1	yes	characteristic, complemented
114	C₂×C₈×D₁₃	—	2	2	no	—
115	C₂×C₈×D₁₃	—	2	2	no	—
116	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
117	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic, complemented
118	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
119	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
120	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
121	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
122	#88147	C₂×C₄	1	1	yes	characteristic
123	C₄⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
124	#88135	C₂×C₄	1	1	yes	characteristic
125	#88135	C₂×C₄	1	1	yes	characteristic
126	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
127	C₂²⋊C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
128	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
129	C₄²×D₁₃	C₂³	1	1	yes	characteristic
130	C₂²⋊#1057	C₂×C₄	1	2	yes	complemented
131	C₂²⋊#1057	C₂×C₄	1	2	yes	complemented
132	(C₂×#261)⋊C₄	C₂×C₄	1	2	yes	—
133	(C₂×#261)⋊C₄	C₂×C₄	1	2	yes	—
134	(C₂×#261)⋊C₄	C₂×C₄	1	2	yes	—
135	#88112	C₂×C₄	1	2	yes	complemented
136	#88111	C₂×C₄	1	2	yes	complemented
137	#88111	C₂×C₄	1	2	yes	complemented
138	#88110	C₂×C₄	1	2	yes	complemented
139	#88110	C₂×C₄	1	2	yes	complemented
140	C₄⋊#1057	C₂×C₄	1	2	yes	complemented
141	#88100	—	2	2	no	—
142	#88100	—	2	2	no	—
143	#88100	—	2	2	no	—
144	#88100	—	2	2	no	—
145	#88100	—	2	2	no	—
146	#88100	D₄	1	4	yes	complemented
147	C₈×#261	—	2	2	no	—
148	C₈×#261	—	2	2	no	—
149	C₈×#261	—	2	2	no	—
150	C₈×#261	—	2	2	no	—
151	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic, complemented
152	C₁₃×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic, complemented
153	C₁₃×C₂²⋊C₈	C₂×C₄	1	1	yes	characteristic, complemented
154	C₁₃×#97	C₂×C₄	1	1	yes	characteristic, complemented
155	C₂²⋊#1055	C₂×C₄	1	1	yes	characteristic, complemented
156	C₂²⋊#1055	C₂×C₄	1	1	yes	characteristic, complemented
157	#88060	C₂×C₄	1	1	yes	characteristic, complemented
158	#88060	C₂×C₄	1	1	yes	characteristic, complemented
159	#88060	C₂×C₄	1	1	yes	characteristic, complemented
160	#88060	C₂×C₄	1	1	yes	characteristic, complemented
161	#88055	C₂×C₄	1	1	yes	characteristic, complemented
162	#88055	C₂×C₄	1	1	yes	characteristic, complemented
163	#88054	C₂×C₄	1	1	yes	characteristic, complemented
164	#88054	C₂×C₄	1	1	yes	characteristic, complemented
165	C₄⋊#1055	C₂×C₄	1	1	yes	characteristic, complemented
166	#88043	C₂×C₄	1	1	yes	characteristic, complemented
167	#20491	—	13	1	no	maximal, Sylow
168	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
169	C₂³×D₁₃	C₂²×C₄	1	1	yes	characteristic
170	C₂²×#261	—	2	4	no	—
171	C₂²×#261	—	2	4	no	—
172	C₂²×#261	—	2	4	no	—
173	C₂²×#261	—	2	4	no	—
174	C₂²×#261	—	4	2	no	—
175	C₂²×#261	—	4	2	no	—
176	C₂²×#261	C₂²×C₄	1	2	yes	—
177	C₂²×#261	C₂²×C₄	1	2	yes	—
178	C₂²×#261	C₂²×C₄	1	2	yes	—
179	C₂²×#261	C₂²×C₄	1	2	yes	—
180	C₂×D₄×C₁₃	C₄²	1	1	yes	characteristic
181	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
182	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
183	C₂×C₂²⋊D₁₃	C₄²	1	1	yes	characteristic
184	C₂×C₂²⋊D₁₃	C₄²	1	1	yes	characteristic
185	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
186	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
187	D₄×D₁₃	—	2	4	no	—
188	C₂×D₅₂	C₄²	1	1	yes	characteristic
189	C₂×C₄×D₁₃	—	2	1	no	—
190	C₂×C₄×D₁₃	—	2	1	no	—
191	C₂×C₄×D₁₃	—	2	1	no	—
192	C₂×C₄×D₁₃	—	2	1	no	—
193	C₂×C₄×D₁₃	—	2	1	no	—
194	C₂×C₄×D₁₃	—	2	1	no	—
195	C₂×C₄×D₁₃	—	2	1	no	—
196	C₂×C₄×D₁₃	—	2	1	no	—
197	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
198	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
199	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
200	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
201	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
202	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
203	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
204	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
205	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
206	C₂²⋊#261	—	2	4	no	—
207	C₂²⋊#261	M₁₆	1	8	yes	complemented
208	#6122	—	2	4	no	—
209	C₂×#1057	—	2	4	no	—
210	C₂×#1057	C₂²×C₄	1	2	yes	—
211	C₂×#1057	C₂²×C₄	1	2	yes	—
212	C₂×#1057	C₂²×C₄	1	2	yes	—
213	C₂×#1057	C₂²×C₄	1	2	yes	—
214	C₄⋊#261	—	2	4	no	—
215	C₄×#261	—	2	4	no	—
216	C₄×#261	—	2	4	no	—
217	C₄×#261	—	2	4	no	—
218	C₄×#261	—	2	1	no	—
219	C₄×#261	—	2	1	no	—
220	C₄×#261	—	2	1	no	—
221	C₄×#261	—	2	1	no	—
222	C₄×#261	—	2	1	no	—
223	C₄×#261	—	2	1	no	—
224	C₄×#261	—	4	2	no	—
225	C₄×#261	C₂×D₄	1	2	yes	—
226	C₄×#261	#41	1	2	yes	—
227	#6118	—	2	4	no	—
228	D₁₃⋊C₈	—	2	1	no	—
229	D₁₃⋊C₈	—	2	1	no	—
230	D₁₃⋊C₈	—	2	1	no	—
231	D₁₃⋊C₈	—	2	1	no	—
232	D₁₃⋊C₈	—	2	1	no	—
233	D₁₃⋊C₈	—	2	1	no	—
234	D₁₃⋊C₈	—	2	4	no	—
235	D₁₃⋊C₈	C₂×D₄	1	2	yes	—
236	D₁₃⋊C₈	#41	1	2	yes	—
237	C₁₃×M₁₆	—	2	2	no	—
238	C₂×C₈×C₁₃	—	2	2	no	—
239	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
240	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
241	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
242	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
243	C₁₃×C₄⋊C₄	C₄²	1	1	yes	characteristic
244	C₁₃×C₂²⋊C₄	C₄²	1	1	yes	characteristic
245	C₁₃×C₂²⋊C₄	C₄²	1	1	yes	characteristic
246	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
247	C₂²⋊Dic₁₃	C₄²	1	1	yes	characteristic
248	C₂²⋊Dic₁₃	C₄²	1	1	yes	characteristic
249	#6103	C₄²	1	1	yes	characteristic
250	#6103	C₄²	1	1	yes	characteristic
251	#6103	C₄²	1	1	yes	characteristic
252	#6103	C₄²	1	1	yes	characteristic
253	C₄⋊Dic₁₃	C₄²	1	1	yes	characteristic
254	#6101	C₄²	1	1	yes	characteristic
255	#6101	C₄²	1	1	yes	characteristic
256	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
257	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
258	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
259	#6099	—	2	2	no	—
260	C₂×#1055	—	2	2	no	—
261	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
262	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
263	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
264	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
265	#6094	—	2	2	no	—
266	#6094	—	2	2	no	—
267	C₈×D₁₃	—	2	1	no	—
268	C₈×D₁₃	—	2	1	no	—
269	C₈×D₁₃	—	2	1	no	—
270	C₈×D₁₃	—	2	1	no	—
271	C₈×D₁₃	—	2	1	no	—
272	C₈×D₁₃	—	2	1	no	—
273	C₈×D₁₃	—	2	2	no	—
274	C₈×D₁₃	—	2	2	no	—
275	C₈×D₁₃	C₂×D₄	1	2	yes	—
276	C₈×D₁₃	#41	1	2	yes	—
277	C₂×#435	—	13	1	no	—
278	C₂×#435	—	13	1	no	—
279	C₂×C₄×M₁₆	—	13	1	no	—
280	C₂²×#97	—	13	1	no	—
281	C₄²×D₄	—	13	1	no	—
282	#1771	—	13	1	no	—
283	#1771	—	13	1	no	—
284	#1767	—	13	1	no	—
285	#1753	—	13	1	no	—
286	#1753	—	13	1	no	—
287	C₈×C₂²⋊C₄	—	13	1	no	—
288	C₈×C₂²⋊C₄	—	13	1	no	—
289	#1749	—	13	1	no	—
290	#1749	—	13	1	no	—
291	C₄×#97	—	13	1	no	—
292	C₂³×C₁₃	C₂×C₄²	1	1	yes	characteristic
293	C₂³×C₁₃	C₂×C₄²	1	1	yes	characteristic
294	C₂²×D₁₃	—	2	1	no	—
295	C₂²×D₁₃	—	2	1	no	—
296	C₂²×D₁₃	—	2	2	no	—
297	C₂²×D₁₃	—	2	1	no	—
298	C₂²×D₁₃	—	2	1	no	—
299	C₂²×D₁₃	—	2	2	no	—
300	C₂²×D₁₃	—	2	2	no	—
301	C₂²×D₁₃	C₂×C₄²	1	1	yes	characteristic
302	C₂²×D₁₃	C₂×C₄²	1	1	yes	characteristic
303	C₂²×D₁₃	C₂×M₁₆	1	4	yes	—
304	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
305	C₂×#261	—	2	2	no	—
306	C₂×#261	—	2	2	no	—
307	C₂×#261	—	2	2	no	—
308	C₂×#261	—	2	2	no	—
309	C₂×#261	—	2	2	no	—
310	C₂×#261	—	2	2	no	—
311	C₂×#261	—	2	2	no	—
312	C₂×#261	—	2	2	no	—
313	C₂×#261	—	2	2	no	—
314	C₂×#261	—	4	8	no	—
315	C₂×#261	—	4	8	no	—
316	C₂×#261	C₄×D₄	1	4	yes	—
317	C₂×#261	C₂×M₁₆	1	4	yes	—
318	C₂×#261	C₂×M₁₆	1	4	yes	—
319	D₄×C₁₃	—	2	2	no	—
320	C₂×C₄×C₁₃	—	2	1	no	—
321	C₂×C₄×C₁₃	—	2	1	no	—
322	C₂×C₄×C₁₃	—	2	1	no	—
323	C₂×C₄×C₁₃	—	2	1	no	—
324	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
325	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
326	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
327	C₂×C₄×C₁₃	C₂×C₄²	1	1	yes	characteristic
328	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
329	C₂²⋊D₁₃	—	2	2	no	—
330	C₂²⋊D₁₃	—	2	2	no	—
331	C₂×Dic₁₃	—	2	1	no	—
332	C₂×Dic₁₃	—	2	1	no	—
333	C₂×Dic₁₃	—	2	1	no	—
334	C₂×Dic₁₃	—	2	1	no	—
335	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
336	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
337	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
338	C₂×Dic₁₃	C₂×C₄²	1	1	yes	characteristic
339	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
340	D₅₂	—	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	2	no	—
346	C₄×D₁₃	—	2	2	no	—
347	C₄×D₁₃	—	2	1	no	—
348	C₄×D₁₃	—	2	1	no	—
349	C₄×D₁₃	—	2	1	no	—
350	C₄×D₁₃	—	2	1	no	—
351	C₄×D₁₃	—	2	1	no	—
352	C₄×D₁₃	—	2	1	no	—
353	C₄×D₁₃	—	2	1	no	—
354	C₄×D₁₃	—	2	1	no	—
355	C₄×D₁₃	C₂²×D₄	1	1	yes	characteristic
356	C₄×D₁₃	C₂×#41	1	1	yes	characteristic
357	C₄×D₁₃	C₂×#41	1	1	yes	characteristic
358	C₄×D₁₃	C₂×#41	1	1	yes	characteristic
359	#1057	—	2	2	no	—
360	#1057	—	2	2	no	—
361	#1057	—	2	2	no	—
362	#1057	C₄×D₄	1	4	yes	complemented
363	C₈×C₁₃	—	2	1	no	—
364	C₈×C₁₃	—	2	1	no	—
365	C₈×C₁₃	—	2	1	no	—
366	C₈×C₁₃	C₄×D₄	1	2	yes	complemented
367	#1055	—	2	1	no	—
368	#1055	—	2	1	no	—
369	#1055	—	2	1	no	—
370	#1055	C₄×D₄	1	2	yes	complemented
371	C₂²×M₁₆	—	13	1	no	—
372	C₂²×M₁₆	—	13	1	no	—
373	C₂³×C₈	—	13	1	no	—
374	C₂³×C₈	—	13	1	no	—
375	C₂×C₄×D₄	—	13	1	no	—
376	C₂×C₄×D₄	—	13	2	no	—
377	C₂²×C₄²	—	13	1	no	—
378	C₂²×C₄²	—	13	1	no	—
379	#435	—	13	2	no	—
380	#435	—	13	2	no	—
381	#435	—	13	2	no	—
382	#435	—	13	2	no	—
383	#435	—	13	1	no	—
384	#435	—	13	1	no	—
385	#435	—	13	1	no	—
386	#435	—	13	1	no	—
387	#435	—	13	1	no	—
388	#435	—	13	1	no	—
389	#435	—	13	1	no	—
390	#435	#261	1	1	yes	characteristic, complemented
391	C₂×C₄⋊C₈	—	13	1	no	—
392	C₂×C₄⋊C₈	—	13	1	no	—
393	C₂×C₂²⋊C₈	—	13	1	no	—
394	C₂×C₂²⋊C₈	—	13	1	no	—
395	C₂×C₂²⋊C₈	—	13	1	no	—
396	C₂×C₂²⋊C₈	—	13	1	no	—
397	C₄×M₁₆	—	26	4	no	—
398	C₂×#97	—	13	1	no	—
399	C₂×#97	—	13	1	no	—
400	C₂×#97	—	13	1	no	—
401	C₂×#97	—	13	1	no	—
402	C₂×#97	—	13	1	no	—
403	C₂×#97	—	13	1	no	—
404	C₂×#97	—	13	1	no	—
405	C₂×#97	—	13	1	no	—
406	C₂×#97	—	26	4	no	—
407	C₂×C₄×C₈	—	13	1	no	—
408	C₂×C₄×C₈	—	13	1	no	—
409	C₂×C₄×C₈	—	13	1	no	—
410	C₂×C₄×C₈	—	13	1	no	—
411	C₄×C₄⋊C₄	—	13	1	no	—
412	C₄×C₄⋊C₄	—	13	2	no	—
413	C₄×C₂²⋊C₄	—	13	2	no	—
414	C₄×C₂²⋊C₄	—	13	2	no	—
415	C₄×C₂²⋊C₄	—	13	1	no	—
416	C₄×C₂²⋊C₄	—	13	1	no	—
417	C₄³	—	13	1	no	—
418	#336	—	13	1	no	—
419	#336	—	13	1	no	—
420	#336	—	13	1	no	—
421	#336	—	13	1	no	—
422	#336	—	13	1	no	—
423	#336	—	13	1	no	—
424	C₂²×C₁₃	—	2	1	no	—
425	C₂²×C₁₃	—	2	1	no	—
426	C₂²×C₁₃	—	2	1	no	—
427	C₂²×C₁₃	—	2	1	no	—
428	C₂²×C₁₃	—	2	1	no	—
429	C₂²×C₁₃	C₄×M₁₆	1	2	yes	complemented
430	C₂²×C₁₃	C₂²×C₄²	1	1	yes	characteristic
431	C₂×D₁₃	—	2	1	no	—
432	C₂×D₁₃	—	2	1	no	—
433	C₂×D₁₃	—	2	4	no	—
434	C₂×D₁₃	—	2	4	no	—
435	C₂×D₁₃	—	2	1	no	—
436	C₂×D₁₃	—	2	1	no	—
437	C₂×D₁₃	—	2	1	no	—
438	C₂×D₁₃	—	4	2	no	—
439	C₂×D₁₃	—	4	2	no	—
440	C₂×D₁₃	C₄×M₁₆	1	2	yes	complemented
441	C₂×D₁₃	C₂×C₄×D₄	1	1	yes	characteristic
442	C₂×D₁₃	C₄×#41	1	1	yes	characteristic
443	C₂×D₁₃	C₂²×M₁₆	1	2	yes	—
444	C₂×D₁₃	#568	1	2	yes	—
445	#261	—	2	4	no	—
446	#261	—	2	4	no	—
447	#261	—	2	4	no	—
448	#261	—	4	2	no	—
449	C₄×C₁₃	—	2	1	no	—
450	C₄×C₁₃	—	2	1	no	—
451	C₄×C₁₃	—	2	1	no	—
452	C₄×C₁₃	—	2	1	no	—
453	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
454	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
455	Dic₁₃	—	2	1	no	—
456	Dic₁₃	—	2	1	no	—
457	Dic₁₃	—	2	1	no	—
458	Dic₁₃	—	2	1	no	—
459	Dic₁₃	C₂×C₄×D₄	1	1	yes	characteristic
460	Dic₁₃	C₄×#41	1	1	yes	characteristic
461	C₂²×D₄	—	13	1	no	—
462	C₂³×C₄	—	13	1	no	—
463	C₂³×C₄	—	13	1	no	—
464	C₂³×C₄	—	13	2	no	—
465	C₂³×C₄	—	13	2	no	—
466	C₂×M₁₆	—	13	2	no	—
467	C₂×M₁₆	—	13	2	no	—
468	C₂×M₁₆	—	13	1	no	—
469	C₂×M₁₆	—	13	1	no	—
470	C₂×M₁₆	—	13	1	no	—
471	C₂×M₁₆	—	26	2	no	—
472	C₂×M₁₆	—	26	2	no	—
473	C₂×M₁₆	—	26	2	no	—
474	C₂×M₁₆	—	26	2	no	—
475	C₂×M₁₆	C₂×#261	1	1	yes	characteristic, complemented
476	C₂²×C₈	—	13	1	no	—
477	C₂²×C₈	—	13	1	no	—
478	C₂²×C₈	—	13	1	no	—
479	C₂²×C₈	—	13	2	no	—
480	C₂²×C₈	—	13	2	no	—
481	C₂²×C₈	—	13	1	no	—
482	C₂²×C₈	—	13	1	no	—
483	C₂²×C₈	—	13	1	no	—
484	C₂²×C₈	—	13	1	no	—
485	C₂²×C₈	—	13	1	no	—
486	C₂²×C₈	—	13	1	no	—
487	C₂²×C₈	—	13	1	no	—
488	C₂²×C₈	—	13	1	no	—
489	C₂²×C₈	—	26	2	no	—
490	C₂²×C₈	—	26	2	no	—
491	C₂²×C₈	—	26	2	no	—
492	C₂²×C₈	—	26	2	no	—
493	C₂²×C₈	C₂×#261	1	1	yes	characteristic, complemented
494	C₄×D₄	—	13	1	no	—
495	C₄×D₄	—	13	1	no	—
496	C₄×D₄	—	13	1	no	—
497	C₄×D₄	—	13	1	no	—
498	C₄×D₄	—	13	1	no	—
499	C₄×D₄	—	13	1	no	—
500	C₄×D₄	—	13	1	no	—
501	C₄×D₄	—	26	8	no	—
502	C₄×D₄	C₂×#261	1	1	yes	characteristic
503	C₂×C₄⋊C₄	—	13	1	no	—
504	C₂×C₄⋊C₄	—	13	2	no	—
505	C₂×C₂²⋊C₄	—	13	2	no	—
506	C₂×C₂²⋊C₄	—	13	1	no	—
507	C₂×C₂²⋊C₄	—	13	1	no	—
508	C₂×C₂²⋊C₄	—	13	2	no	—
509	C₂×C₄²	—	13	1	no	—
510	C₂×C₄²	—	13	1	no	—
511	C₂×C₄²	—	13	2	no	—
512	C₂×C₄²	—	13	1	no	—
513	C₂×C₄²	—	13	1	no	—
514	C₂×C₄²	—	13	1	no	—
515	C₂×C₄²	—	13	2	no	—
516	C₂×C₄²	—	13	2	no	—
517	C₂×C₄²	—	13	2	no	—
518	C₂×C₄²	—	26	2	no	—
519	C₂×C₄²	—	26	2	no	—
520	C₂×C₄²	—	26	2	no	—
521	C₂×C₄²	—	26	2	no	—
522	C₄⋊C₈	—	13	2	no	—
523	C₄⋊C₈	—	13	2	no	—
524	C₄⋊C₈	—	13	1	no	—
525	C₄⋊C₈	—	13	1	no	—
526	C₄⋊C₈	—	13	1	no	—
527	C₄⋊C₈	C₂×#261	1	1	yes	characteristic, complemented
528	C₂²⋊C₈	—	13	2	no	—
529	C₂²⋊C₈	—	13	2	no	—
530	C₂²⋊C₈	—	13	2	no	—
531	C₂²⋊C₈	—	13	2	no	—
532	C₂²⋊C₈	—	13	1	no	—
533	C₂²⋊C₈	—	13	1	no	—
534	C₂²⋊C₈	—	13	1	no	—
535	C₂²⋊C₈	—	13	1	no	—
536	C₂²⋊C₈	—	13	1	no	—
537	C₂²⋊C₈	—	13	1	no	—
538	C₂²⋊C₈	C₂×#261	1	1	yes	characteristic, complemented
539	C₂²⋊C₈	C₂×#261	1	1	yes	characteristic, complemented
540	#97	—	13	4	no	—
541	#97	—	13	2	no	—
542	#97	—	13	2	no	—
543	#97	—	13	1	no	—
544	#97	—	13	1	no	—
545	#97	—	13	1	no	—
546	#97	—	26	2	no	—
547	#97	—	26	2	no	—
548	#97	—	26	2	no	—
549	#97	—	26	2	no	—
550	#97	—	26	2	no	—
551	#97	C₂×#261	1	1	yes	characteristic, complemented
552	C₄×C₈	—	26	2	no	—
553	C₄×C₈	—	26	2	no	—
554	C₄×C₈	—	26	2	no	—
555	C₄×C₈	—	26	2	no	—
556	#95	—	13	2	no	—
557	#95	—	13	2	no	—
558	#95	—	13	2	no	—
559	C₂×C₁₃	—	2	2	no	—
560	C₂×C₁₃	—	4	1	no	—
561	C₂×C₁₃	C₄²×D₄	1	1	yes	characteristic
562	C₂×C₁₃	C₂×C₄×M₁₆	1	1	yes	characteristic
563	C₂×C₁₃	#2875	1	1	yes	characteristic
564	D₁₃	—	2	2	no	—
565	D₁₃	—	4	1	no	—
566	D₁₃	D₄×M₁₆	1	2	yes	—
567	D₁₃	#2970	1	2	yes	—
568	C₂⁴	—	13	1	no	—
569	C₂⁴	—	13	1	no	—
570	C₂×D₄	—	13	1	no	—
571	C₂×D₄	—	13	1	no	—
572	C₂×D₄	—	13	1	no	—
573	C₂×D₄	—	26	4	no	—
574	C₂×D₄	C₄×#261	1	1	yes	characteristic
575	C₂²×C₄	—	13	1	no	—
576	C₂²×C₄	—	13	2	no	—
577	C₂²×C₄	—	13	2	no	—
578	C₂²×C₄	—	13	2	no	—
579	C₂²×C₄	—	13	1	no	—
580	C₂²×C₄	—	13	1	no	—
581	C₂²×C₄	—	13	1	no	—
582	C₂²×C₄	—	13	1	no	—
583	C₂²×C₄	—	13	1	no	—
584	C₂²×C₄	—	13	1	no	—
585	C₂²×C₄	—	13	1	no	—
586	C₂²×C₄	—	13	1	no	—
587	C₂²×C₄	—	13	1	no	—
588	C₂²×C₄	—	13	1	no	—
589	C₂²×C₄	—	13	2	no	—
590	C₂²×C₄	—	26	1	no	—
591	C₂²×C₄	—	26	1	no	—
592	C₂²×C₄	—	26	1	no	—
593	C₂²×C₄	—	26	1	no	—
594	C₂²×C₄	—	26	1	no	—
595	C₂²×C₄	—	26	1	no	—
596	C₂²×C₄	—	26	1	no	—
597	C₂²×C₄	—	26	1	no	—
598	C₂²×C₄	—	26	4	no	—
599	C₂²×C₄	—	26	4	no	—
600	C₂²×C₄	—	26	4	no	—
601	C₂²×C₄	—	26	4	no	—
602	C₂²×C₄	—	52	2	no	—
603	C₂²×C₄	—	52	2	no	—
604	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
605	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
606	M₁₆	—	2	2	no	—
607	M₁₆	—	26	2	no	—
608	M₁₆	—	26	2	no	—
609	M₁₆	—	26	4	no	—
610	M₁₆	—	26	4	no	—
611	M₁₆	—	26	2	no	—
612	C₂×C₈	—	2	2	no	—
613	C₂×C₈	—	13	2	no	—
614	C₂×C₈	—	13	2	no	—
615	C₂×C₈	—	13	2	no	—
616	C₂×C₈	—	13	1	no	—
617	C₂×C₈	—	13	2	no	—
618	C₂×C₈	—	13	2	no	—
619	C₂×C₈	—	13	2	no	—
620	C₂×C₈	—	13	2	no	—
621	C₂×C₈	—	13	2	no	—
622	C₂×C₈	—	13	1	no	—
623	C₂×C₈	—	13	1	no	—
624	C₂×C₈	—	13	1	no	—
625	C₂×C₈	—	26	2	no	—
626	C₂×C₈	—	26	1	no	—
627	C₂×C₈	—	26	1	no	—
628	C₂×C₈	—	26	1	no	—
629	C₂×C₈	—	26	1	no	—
630	C₂×C₈	—	26	1	no	—
631	C₂×C₈	—	26	1	no	—
632	C₂×C₈	—	26	2	no	—
633	C₂×C₈	—	26	4	no	—
634	C₂×C₈	—	26	4	no	—
635	C₂×C₈	—	26	1	no	—
636	C₂×C₈	—	26	1	no	—
637	C₂×C₈	—	26	1	no	—
638	C₂×C₈	—	26	1	no	—
639	C₂×C₈	—	26	1	no	—
640	C₂×C₈	—	26	1	no	—
641	C₂×C₈	—	26	2	no	—
642	C₂×C₈	C₂²×#261	1	1	yes	characteristic
643	C₂×C₈	C₂²×#261	1	1	yes	characteristic
644	C₂×C₈	C₂²×#261	1	1	yes	characteristic
645	C₂×C₈	C₂²×#261	1	1	yes	characteristic
646	C₄⋊C₄	—	13	1	no	—
647	C₄⋊C₄	—	13	1	no	—
648	C₄⋊C₄	—	13	1	no	—
649	C₄⋊C₄	—	26	4	no	—
650	C₄⋊C₄	C₄×#261	1	1	yes	characteristic
651	C₂²⋊C₄	—	13	8	no	—
652	C₂²⋊C₄	—	13	1	no	—
653	C₂²⋊C₄	—	13	1	no	—
654	C₂²⋊C₄	—	13	1	no	—
655	C₂²⋊C₄	—	13	1	no	—
656	C₂²⋊C₄	—	13	1	no	—
657	C₂²⋊C₄	—	13	1	no	—
658	C₂²⋊C₄	—	26	4	no	—
659	C₂²⋊C₄	C₄×#261	1	1	yes	characteristic
660	C₂²⋊C₄	C₄×#261	1	1	yes	characteristic
661	C₄²	—	13	2	no	—
662	C₄²	—	13	2	no	—
663	C₄²	—	13	1	no	—
664	C₄²	—	13	1	no	—
665	C₄²	—	13	1	no	—
666	C₄²	—	26	1	no	—
667	C₄²	—	26	1	no	—
668	C₄²	—	26	1	no	—
669	C₄²	—	26	1	no	—
670	C₄²	—	26	1	no	—
671	C₄²	—	26	1	no	—
672	C₄²	—	26	4	no	—
673	C₄²	—	26	4	no	—
674	C₄²	—	26	4	no	—
675	C₄²	—	52	2	no	—
676	C₄²	C₂²×#261	1	1	yes	characteristic
677	C₁₃	#20491	1	1	yes	characteristic, complemented, Sylow
678	C₂³	—	13	1	no	—
679	C₂³	—	13	4	no	—
680	C₂³	—	13	1	no	—
681	C₂³	—	13	1	no	—
682	C₂³	—	26	1	no	—
683	C₂³	—	26	1	no	—
684	C₂³	—	26	2	no	—
685	C₂³	—	26	2	no	—
686	C₂³	—	26	1	no	—
687	C₂³	—	26	1	no	—
688	C₂³	—	26	2	no	—
689	C₂³	C₂×C₄×#261	1	1	yes	characteristic
690	C₂³	C₂×C₄×#261	1	1	yes	characteristic
691	D₄	—	2	2	no	—
692	D₄	—	26	2	no	—
693	D₄	—	26	2	no	—
694	D₄	—	26	2	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	13	1	no	—
700	C₂×C₄	—	13	1	no	—
701	C₂×C₄	—	13	1	no	—
702	C₂×C₄	—	13	1	no	—
703	C₂×C₄	—	13	1	no	—
704	C₂×C₄	—	13	4	no	—
705	C₂×C₄	—	13	4	no	—
706	C₂×C₄	—	13	4	no	—
707	C₂×C₄	—	13	1	no	—
708	C₂×C₄	—	13	1	no	—
709	C₂×C₄	—	13	1	no	—
710	C₂×C₄	—	13	1	no	—
711	C₂×C₄	—	26	1	no	—
712	C₂×C₄	—	26	1	no	—
713	C₂×C₄	—	26	1	no	—
714	C₂×C₄	—	26	1	no	—
715	C₂×C₄	—	26	1	no	—
716	C₂×C₄	—	26	1	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	1	no	—
724	C₂×C₄	—	26	1	no	—
725	C₂×C₄	—	26	2	no	—
726	C₂×C₄	—	26	2	no	—
727	C₂×C₄	—	26	2	no	—
728	C₂×C₄	—	26	2	no	—
729	C₂×C₄	—	26	2	no	—
730	C₂×C₄	—	26	2	no	—
731	C₂×C₄	—	26	1	no	—
732	C₂×C₄	—	26	1	no	—
733	C₂×C₄	—	26	1	no	—
734	C₂×C₄	—	26	1	no	—
735	C₂×C₄	—	26	2	no	—
736	C₂×C₄	—	26	2	no	—
737	C₂×C₄	—	26	2	no	—
738	C₂×C₄	—	52	8	no	—
739	C₂×C₄	—	52	8	no	—
740	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
741	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
742	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
743	C₂×C₄	C₂×C₄×#261	1	1	yes	characteristic
744	C₂×C₄	C₂³×#261	1	1	yes	characteristic
745	C₈	—	2	1	no	—
746	C₈	—	2	1	no	—
747	C₈	—	2	1	no	—
748	C₈	—	13	4	no	—
749	C₈	—	13	2	no	—
750	C₈	—	26	2	no	—
751	C₈	—	26	2	no	—
752	C₈	—	26	2	no	—
753	C₈	—	26	1	no	—
754	C₈	—	26	1	no	—
755	C₈	—	26	1	no	—
756	C₈	D₄×#261	1	2	yes	complemented
757	C₂²	—	2	1	no	—
758	C₂²	—	2	1	no	—
759	C₂²	—	2	1	no	—
760	C₂²	—	2	1	no	—
761	C₂²	—	2	1	no	—
762	C₂²	—	13	1	no	—
763	C₂²	—	13	1	no	—
764	C₂²	—	13	2	no	—
765	C₂²	—	13	2	no	—
766	C₂²	—	13	2	no	—
767	C₂²	—	26	4	no	—
768	C₂²	—	26	4	no	—
769	C₂²	—	26	1	no	—
770	C₂²	—	26	1	no	—
771	C₂²	—	26	1	no	—
772	C₂²	—	26	1	no	—
773	C₂²	—	26	1	no	—
774	C₂²	—	52	2	no	—
775	C₂²	—	52	2	no	—
776	C₂²	M₁₆×#261	1	2	yes	complemented
777	C₂²	C₂²×C₄×#261	1	1	yes	characteristic
778	C₄	—	2	1	no	—
779	C₄	—	2	1	no	—
780	C₄	—	2	1	no	—
781	C₄	—	2	1	no	—
782	C₄	—	13	1	no	—
783	C₄	—	13	1	no	—
784	C₄	—	26	4	no	—
785	C₄	—	26	4	no	—
786	C₄	—	26	4	no	—
787	C₄	—	26	1	no	—
788	C₄	—	26	1	no	—
789	C₄	—	26	1	no	—
790	C₄	—	26	1	no	—
791	C₄	—	52	2	no	—
792	C₄	C₂×D₄×#261	1	1	yes	characteristic
793	C₄	#41×#261	1	1	yes	characteristic
794	C₂	—	2	2	no	—
795	C₂	—	4	1	no	—
796	C₂	—	13	2	no	—
797	C₂	—	13	2	no	—
798	C₂	—	26	2	no	—
799	C₂	—	52	1	no	—
800	C₂	C₄×D₄×#261	1	1	yes	characteristic
801	C₂	C₂×M₁₆×#261	1	1	yes	characteristic
802	C₂	#13131406	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	#20491
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
2. C₂×M₁₆×#261	C₂	semidirect
3. C₂²×#88100	C₂	semidirect
5. #13130637	C₂	semidirect
6. #13130634	C₂	semidirect
7. #13130623	C₂	semidirect
8. #13130579	C₂	semidirect
9. #13130576	C₂	semidirect
10. #13130571	C₂	semidirect
11. C₈×C₂²⋊#261	C₂	semidirect
12. #13130564	C₂	semidirect
13. #13130564	C₂	semidirect
14. #97×#261	C₂	semidirect
24. #11719144	C₄	semidirect
42. #11719075	C₄	semidirect
45. #11719065	C₄	semidirect
46. #11719064	C₄	semidirect
51. C₁₃×#435	C₄	semidirect
52. #11718788	C₄	semidirect
53. #11718772	C₄	semidirect
54. #11718672	C₄	semidirect
55. #11718497	C₄	semidirect
57. #11718391	C₄	semidirect
58. #11718389	C₄	semidirect
61. #11718367	C₄	semidirect
76. C₂×#6122	C₂×C₄	semidirect
77. C₂²×#1057	C₂×C₄	semidirect
94. C₂×#6118	C₂×C₄	semidirect
97. C₂×D₁₃⋊C₈	C₂×C₄	semidirect
102. C₂×C₁₃×M₁₆	C₂×C₄	semidirect
103. C₂²×C₈×C₁₃	C₂×C₄	semidirect
108. C₂×#6099	C₂×C₄	semidirect
109. C₂²×#1055	C₂×C₄	semidirect
112. C₂×#6094	C₂×C₄	semidirect
113. C₂×#6094	C₂×C₄	semidirect
116. C₂×C₈×D₁₃	C₂×C₄	semidirect
117. C₂×C₈×D₁₃	C₂×C₄	semidirect
130. C₂²⋊#1057	C₂×C₄	semidirect
131. C₂²⋊#1057	C₂×C₄	semidirect
135. #88112	C₂×C₄	semidirect
136. #88111	C₂×C₄	semidirect
137. #88111	C₂×C₄	semidirect
138. #88110	C₂×C₄	semidirect
139. #88110	C₂×C₄	semidirect
140. C₄⋊#1057	C₂×C₄	semidirect
146. #88100	D₄	semidirect
151. C₁₃×C₄⋊C₈	C₂×C₄	semidirect
152. C₁₃×C₂²⋊C₈	C₂×C₄	semidirect
153. C₁₃×C₂²⋊C₈	C₂×C₄	semidirect
154. C₁₃×#97	C₂×C₄	semidirect
155. C₂²⋊#1055	C₂×C₄	semidirect
156. C₂²⋊#1055	C₂×C₄	semidirect
157. #88060	C₂×C₄	semidirect
158. #88060	C₂×C₄	semidirect
159. #88060	C₂×C₄	semidirect
160. #88060	C₂×C₄	semidirect
161. #88055	C₂×C₄	semidirect
162. #88055	C₂×C₄	semidirect
163. #88054	C₂×C₄	semidirect
164. #88054	C₂×C₄	semidirect
165. C₄⋊#1055	C₂×C₄	semidirect
166. #88043	C₂×C₄	semidirect
207. C₂²⋊#261	M₁₆	semidirect
362. #1057	C₄×D₄	semidirect
366. C₈×C₁₃	C₄×D₄	semidirect
370. #1055	C₄×D₄	semidirect
390. #435	#261	semidirect
429. C₂²×C₁₃	C₄×M₁₆	semidirect
440. C₂×D₁₃	C₄×M₁₆	semidirect
475. C₂×M₁₆	C₂×#261	semidirect
493. C₂²×C₈	C₂×#261	semidirect
527. C₄⋊C₈	C₂×#261	semidirect
538. C₂²⋊C₈	C₂×#261	semidirect
539. C₂²⋊C₈	C₂×#261	semidirect
551. #97	C₂×#261	semidirect
677. C₁₃	#20491	semidirect
756. C₈	D₄×#261	semidirect
776. C₂²	M₁₆×#261	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
C₂×M₁₆×#261	2
C₂²×#88100	2
C₄×D₄×#261	2
#13130637	2
#13130634	2
#13130623	2
#13130579	2
#13130576	2
#13130571	2
C₈×C₂²⋊#261	2
#13130564	2
#97×#261	2
D₁₃×#435	2
#20491	13