Subgroups — #15750883

Order 3328.

596 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×C₂²⋊#1055	C₂	1	1	yes	maximal, characteristic
2	C₂×#11718116	C₂	1	1	yes	maximal, characteristic
3	#13112662	C₂	1	2	yes	maximal, complemented
4	#13112659	C₂	1	2	yes	maximal, complemented
5	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic
6	C₂×C₁₃×C₂²⋊Q₈	C₄	1	1	yes	characteristic
7	C₂×C₄×Q₈×C₁₃	C₄	1	1	yes	characteristic
8	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
9	C₂³×#1055	—	2	1	no	—
10	C₁₃×#391	C₂²	1	1	yes	characteristic
11	C₁₃×#389	C₂²	1	1	yes	characteristic
12	C₁₃×#387	—	2	1	no	—
13	C₁₃×#385	—	2	1	no	—
14	C₁₃×#380	C₄	1	1	yes	characteristic
15	C₄×C₁₃×C₄⋊C₄	—	2	1	no	—
16	C₄×C₁₃×C₄⋊C₄	C₄	1	1	yes	characteristic
17	C₄×C₁₃×C₂²⋊C₄	—	2	1	no	—
18	C₂×C₂²⋊#1055	—	2	1	no	—
19	C₂×C₄×#1055	—	2	1	no	—
20	#11718116	—	2	1	no	—
21	#11718116	C₂²	1	2	yes	—
22	#11718116	C₂²	1	2	yes	—
23	C₂²×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
24	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
25	C₂³×C₄×C₁₃	D₄	1	1	yes	characteristic
26	C₂³×C₄×C₁₃	D₄	1	1	yes	characteristic
27	C₁₃×C₂²⋊Q₈	—	2	2	no	—
28	C₁₃×C₂²⋊Q₈	C₈	1	4	yes	complemented
29	C₄×Q₈×C₁₃	—	4	2	no	—
30	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
31	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
32	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
33	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
34	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
35	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
37	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
38	C₂×C₄²×C₁₃	—	2	1	no	—
39	C₂×C₄²×C₁₃	—	2	1	no	—
40	C₂×C₄²×C₁₃	—	4	2	no	—
41	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
42	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
43	C₂×C₄²×C₁₃	D₄	1	1	yes	characteristic
44	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
45	C₂²×#1055	—	2	4	no	—
46	C₂²×#1055	—	2	2	no	—
47	C₂²×#1055	—	2	2	no	—
48	C₂²×#1055	—	4	2	no	—
49	C₂²×#1055	—	4	2	no	—
50	C₁₃×#95	—	2	1	no	—
51	C₁₃×#95	—	2	1	no	—
52	C₁₃×#95	—	2	1	no	—
53	C₁₃×#95	—	2	1	no	—
54	C₁₃×#95	—	2	1	no	—
55	C₂²⋊#1055	—	2	4	no	—
56	C₄×#1055	—	4	2	no	—
57	#7566	—	13	1	no	maximal, Sylow
58	C₂⁴×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
59	C₂×Q₈×C₁₃	—	2	1	no	—
60	C₂×Q₈×C₁₃	—	4	1	no	—
61	C₂×Q₈×C₁₃	—	4	1	no	—
62	C₂×Q₈×C₁₃	C₂×C₈	1	2	yes	complemented
63	C₂²×C₄×C₁₃	—	2	2	no	—
64	C₂²×C₄×C₁₃	—	2	2	no	—
65	C₂²×C₄×C₁₃	—	2	2	no	—
66	C₂²×C₄×C₁₃	—	2	1	no	—
67	C₂²×C₄×C₁₃	—	2	1	no	—
68	C₂²×C₄×C₁₃	—	2	2	no	—
69	C₂²×C₄×C₁₃	—	2	1	no	—
70	C₂²×C₄×C₁₃	—	2	1	no	—
71	C₂²×C₄×C₁₃	—	4	1	no	—
72	C₂²×C₄×C₁₃	—	4	1	no	—
73	C₂²×C₄×C₁₃	—	4	1	no	—
74	C₂²×C₄×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₃	C₂²⋊C₄	1	1	yes	characteristic
77	C₂²×C₄×C₁₃	C₂×C₈	1	2	yes	—
78	C₂²×C₄×C₁₃	M₁₆	1	2	yes	—
79	C₂²×C₄×C₁₃	SD₁₆	1	2	yes	—
80	C₂²×C₄×C₁₃	Q₁₆	1	2	yes	—
81	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
84	C₁₃×C₄⋊C₄	—	2	4	no	—
85	C₁₃×C₄⋊C₄	—	2	1	no	—
86	C₁₃×C₄⋊C₄	—	4	1	no	—
87	C₁₃×C₄⋊C₄	—	4	1	no	—
88	C₁₃×C₄⋊C₄	—	4	2	no	—
89	C₁₃×C₄⋊C₄	—	4	2	no	—
90	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	complemented
91	C₁₃×C₂²⋊C₄	—	2	4	no	—
92	C₁₃×C₂²⋊C₄	—	4	2	no	—
93	C₄²×C₁₃	—	2	2	no	—
94	C₄²×C₁₃	—	2	2	no	—
95	C₄²×C₁₃	—	4	1	no	—
96	C₄²×C₁₃	—	4	1	no	—
97	C₄²×C₁₃	—	4	2	no	—
98	C₄²×C₁₃	—	4	2	no	—
99	C₂×#1055	—	2	4	no	—
100	C₂×#1055	—	2	4	no	—
101	C₂×#1055	—	4	2	no	—
102	C₂×#1055	—	4	8	no	—
103	C₂×#1055	—	4	2	no	—
104	C₂×#1055	—	4	2	no	—
105	C₂×#1055	—	4	2	no	—
106	C₄×C₂²⋊Q₈	D₁₃	1	1	yes	characteristic
107	C₄×C₂²⋊C₈	—	13	1	no	—
108	C₂×#336	—	13	1	no	—
109	#1272	—	13	2	no	—
110	#1271	—	13	2	no	—
111	C₂³×C₁₃	—	2	1	no	—
112	C₂³×C₁₃	—	2	1	no	—
113	C₂³×C₁₃	—	2	1	no	—
114	C₂³×C₁₃	—	2	1	no	—
115	C₂³×C₁₃	C₂²⋊C₈	1	2	yes	—
116	C₂³×C₁₃	#103	1	2	yes	—
117	C₂³×C₁₃	#104	1	2	yes	—
118	C₂³×C₁₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
119	Q₈×C₁₃	—	4	2	no	—
120	Q₈×C₁₃	—	4	2	no	—
121	C₂×C₄×C₁₃	—	2	1	no	—
122	C₂×C₄×C₁₃	—	2	1	no	—
123	C₂×C₄×C₁₃	—	2	1	no	—
124	C₂×C₄×C₁₃	—	2	1	no	—
125	C₂×C₄×C₁₃	—	2	1	no	—
126	C₂×C₄×C₁₃	—	2	1	no	—
127	C₂×C₄×C₁₃	—	2	1	no	—
128	C₂×C₄×C₁₃	—	2	1	no	—
129	C₂×C₄×C₁₃	—	2	4	no	—
130	C₂×C₄×C₁₃	—	2	4	no	—
131	C₂×C₄×C₁₃	—	2	2	no	—
132	C₂×C₄×C₁₃	—	2	2	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	2	1	no	—
135	C₂×C₄×C₁₃	—	2	1	no	—
136	C₂×C₄×C₁₃	—	4	2	no	—
137	C₂×C₄×C₁₃	—	4	2	no	—
138	C₂×C₄×C₁₃	—	4	4	no	—
139	C₂×C₄×C₁₃	—	4	1	no	—
140	C₂×C₄×C₁₃	—	4	1	no	—
141	C₂×C₄×C₁₃	—	4	1	no	—
142	C₂×C₄×C₁₃	—	4	1	no	—
143	C₂×C₄×C₁₃	—	4	1	no	—
144	C₂×C₄×C₁₃	—	4	1	no	—
145	C₂×C₄×C₁₃	—	4	1	no	—
146	C₂×C₄×C₁₃	—	4	1	no	—
147	C₂×C₄×C₁₃	—	4	1	no	—
148	C₂×C₄×C₁₃	—	4	1	no	—
149	C₂×C₄×C₁₃	C₂²⋊C₈	1	2	yes	—
150	C₂×C₄×C₁₃	#99	1	2	yes	—
151	C₂×C₄×C₁₃	#103	1	2	yes	—
152	C₂×C₄×C₁₃	#104	1	2	yes	—
153	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
154	C₂×C₄×C₁₃	C₂×M₁₆	1	1	yes	characteristic
155	C₂×C₄×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
156	C₂×C₄×C₁₃	C₂×Q₁₆	1	1	yes	characteristic
157	C₂×C₄×C₁₃	#135	1	2	yes	—
158	#1055	—	4	4	no	—
159	#1055	—	4	4	no	—
160	C₂³×C₈	—	26	1	no	—
161	C₂×C₂²⋊Q₈	Dic₁₃	1	1	yes	characteristic
162	C₂×C₄×Q₈	Dic₁₃	1	1	yes	characteristic
163	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
164	C₂×C₂²⋊C₈	—	26	1	no	—
165	C₂×C₄×C₈	—	26	1	no	—
166	#391	C₂×D₁₃	1	1	yes	characteristic
167	#389	C₂×D₁₃	1	1	yes	characteristic
168	#387	—	2	1	no	—
169	#385	—	2	1	no	—
170	#380	Dic₁₃	1	1	yes	characteristic
171	C₄×C₄⋊C₄	—	2	1	no	—
172	C₄×C₄⋊C₄	Dic₁₃	1	1	yes	characteristic
173	C₄×C₂²⋊C₄	—	2	1	no	—
174	#336	—	13	2	no	—
175	#336	—	13	2	no	—
176	#336	—	26	1	no	—
177	C₂²×C₁₃	—	2	2	no	—
178	C₂²×C₁₃	—	2	2	no	—
179	C₂²×C₁₃	—	2	2	no	—
180	C₂²×C₁₃	—	2	2	no	—
181	C₂²×C₁₃	—	2	2	no	—
182	C₂²×C₁₃	—	2	2	no	—
183	C₂²×C₁₃	Q₈⋊C₈	1	4	yes	—
184	C₂²×C₁₃	C₂×C₂²⋊C₈	1	1	yes	characteristic
185	C₂²×C₁₃	C₂×#99	1	1	yes	characteristic
186	C₂²×C₁₃	#413	1	1	yes	characteristic
187	C₂²×C₁₃	C₂×#103	1	1	yes	characteristic
188	C₂²×C₁₃	#416	1	1	yes	characteristic
189	C₂²×C₁₃	C₂×#104	1	1	yes	characteristic
190	C₂²×C₁₃	C₂×#104	1	1	yes	characteristic
191	C₄×C₁₃	—	2	2	no	—
192	C₄×C₁₃	—	2	1	no	—
193	C₄×C₁₃	—	2	1	no	—
194	C₄×C₁₃	—	2	1	no	—
195	C₄×C₁₃	—	2	1	no	—
196	C₄×C₁₃	—	2	2	no	—
197	C₄×C₁₃	—	4	2	no	—
198	C₄×C₁₃	—	4	2	no	—
199	C₄×C₁₃	—	4	1	no	—
200	C₄×C₁₃	—	8	1	no	—
201	C₄×C₁₃	—	8	1	no	—
202	C₄×C₁₃	#328	1	4	yes	—
203	C₂²×Q₈	C₂×Dic₁₃	1	1	yes	characteristic
204	C₂³×C₄	C₂×Dic₁₃	1	1	yes	characteristic
205	C₂³×C₄	C₂²⋊D₁₃	1	1	yes	characteristic
206	C₂³×C₄	C₂²⋊D₁₃	1	1	yes	characteristic
207	C₂²×C₈	—	26	4	no	—
208	C₂²×C₈	—	26	2	no	—
209	C₂²×C₈	—	26	2	no	—
210	C₂²×C₈	—	52	2	no	—
211	C₂²×C₈	—	52	2	no	—
212	C₂²⋊Q₈	—	2	2	no	—
213	C₂²⋊Q₈	#1055	1	4	yes	complemented
214	C₄×Q₈	—	4	2	no	—
215	C₂×C₄⋊C₄	—	2	1	no	—
216	C₂×C₄⋊C₄	—	2	1	no	—
217	C₂×C₄⋊C₄	—	2	1	no	—
218	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
219	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
220	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
221	C₂×C₂²⋊C₄	—	2	1	no	—
222	C₂×C₂²⋊C₄	—	2	1	no	—
223	C₂×C₄²	—	2	1	no	—
224	C₂×C₄²	—	2	1	no	—
225	C₂×C₄²	—	4	2	no	—
226	C₂×C₄²	C₂×Dic₁₃	1	1	yes	characteristic
227	C₂×C₄²	C₂²⋊D₁₃	1	1	yes	characteristic
228	C₂×C₄²	C₂²⋊D₁₃	1	1	yes	characteristic
229	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
230	C₂²⋊C₈	—	26	4	no	—
231	C₄×C₈	—	52	2	no	—
232	#95	—	2	1	no	—
233	#95	—	2	1	no	—
234	#95	—	2	1	no	—
235	#95	—	2	1	no	—
236	#95	—	2	1	no	—
237	C₂×C₁₃	—	2	4	no	—
238	C₂×C₁₃	#1459	1	1	yes	characteristic
239	C₂×C₁₃	C₂×Q₈⋊C₈	1	1	yes	characteristic
240	C₂×C₁₃	#1476	1	1	yes	characteristic
241	C₂×C₁₃	C₂×#328	1	1	yes	characteristic
242	C₂×C₁₃	#1501	1	1	yes	characteristic
243	C₂×C₁₃	#1524	1	1	yes	characteristic
244	C₂×C₁₃	#1542	1	1	yes	characteristic
245	C₂⁴	C₂²⋊Dic₁₃	1	1	yes	characteristic
246	C₂×Q₈	—	2	1	no	—
247	C₂×Q₈	—	4	1	no	—
248	C₂×Q₈	—	4	1	no	—
249	C₂×Q₈	C₂×#1055	1	2	yes	complemented
250	C₂²×C₄	—	2	2	no	—
251	C₂²×C₄	—	2	2	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	—	2	1	no	—
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	—	2	1	no	—
257	C₂²×C₄	—	2	1	no	—
258	C₂²×C₄	—	4	1	no	—
259	C₂²×C₄	—	4	1	no	—
260	C₂²×C₄	—	4	1	no	—
261	C₂²×C₄	C₂×#1055	1	2	yes	—
262	C₂²×C₄	#6099	1	2	yes	—
263	C₂²×C₄	#6106	1	2	yes	—
264	C₂²×C₄	#6107	1	2	yes	—
265	C₂²×C₄	C₂²⋊Dic₁₃	1	1	yes	characteristic
266	C₂²×C₄	C₂²⋊Dic₁₃	1	1	yes	characteristic
267	C₂²×C₄	C₂²⋊Dic₁₃	1	1	yes	characteristic
268	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
269	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
270	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
271	C₂×C₈	—	26	4	no	—
272	C₂×C₈	—	26	4	no	—
273	C₂×C₈	—	52	2	no	—
274	C₂×C₈	—	52	2	no	—
275	C₂×C₈	—	52	8	no	—
276	C₂×C₈	—	52	2	no	—
277	C₂×C₈	—	52	2	no	—
278	C₄⋊C₄	—	2	4	no	—
279	C₄⋊C₄	—	2	1	no	—
280	C₄⋊C₄	—	4	1	no	—
281	C₄⋊C₄	—	4	1	no	—
282	C₄⋊C₄	—	4	2	no	—
283	C₄⋊C₄	—	4	2	no	—
284	C₄⋊C₄	C₂×#1055	1	2	yes	complemented
285	C₂²⋊C₄	—	2	4	no	—
286	C₂²⋊C₄	—	4	2	no	—
287	C₄²	—	2	2	no	—
288	C₄²	—	2	2	no	—
289	C₄²	—	4	1	no	—
290	C₄²	—	4	1	no	—
291	C₄²	—	4	2	no	—
292	C₄²	—	4	2	no	—
293	C₁₃	#7566	1	1	yes	characteristic, complemented, Sylow
294	C₂³	—	2	1	no	—
295	C₂³	—	2	1	no	—
296	C₂³	—	2	1	no	—
297	C₂³	—	2	1	no	—
298	C₂³	C₂²⋊#1055	1	2	yes	—
299	C₂³	#88075	1	2	yes	—
300	C₂³	#88077	1	2	yes	—
301	C₂³	C₂×C₂²⋊Dic₁₃	1	1	yes	characteristic
302	Q₈	—	4	2	no	—
303	Q₈	—	4	2	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	—	4	2	no	—
321	C₂×C₄	—	4	4	no	—
322	C₂×C₄	—	4	1	no	—
323	C₂×C₄	—	4	1	no	—
324	C₂×C₄	—	4	1	no	—
325	C₂×C₄	—	4	1	no	—
326	C₂×C₄	—	4	1	no	—
327	C₂×C₄	—	4	1	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	C₂²⋊#1055	1	2	yes	—
333	C₂×C₄	#88074	1	2	yes	—
334	C₂×C₄	#88075	1	2	yes	—
335	C₂×C₄	#88077	1	2	yes	—
336	C₂×C₄	C₂²×#1055	1	1	yes	characteristic
337	C₂×C₄	C₂×#6099	1	1	yes	characteristic
338	C₂×C₄	C₂×#6106	1	1	yes	characteristic
339	C₂×C₄	C₂×#6107	1	1	yes	characteristic
340	C₂×C₄	#88204	1	2	yes	—
341	C₈	—	52	4	no	—
342	C₈	—	52	4	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	2	2	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	2	2	no	—
347	C₂²	—	2	2	no	—
348	C₂²	—	2	2	no	—
349	C₂²	Q₈⋊#1055	1	4	yes	—
350	C₂²	C₂×C₂²⋊#1055	1	1	yes	characteristic
351	C₂²	C₂×#88074	1	1	yes	characteristic
352	C₂²	C₂×#88075	1	1	yes	characteristic
353	C₂²	#11718894	1	1	yes	characteristic
354	C₂²	C₂×#88077	1	1	yes	characteristic
355	C₂²	C₂×#88077	1	1	yes	characteristic
356	C₂²	#11718898	1	1	yes	characteristic
357	C₄	—	2	2	no	—
358	C₄	—	2	1	no	—
359	C₄	—	2	1	no	—
360	C₄	—	2	1	no	—
361	C₄	—	2	1	no	—
362	C₄	—	2	2	no	—
363	C₄	—	4	2	no	—
364	C₄	—	4	2	no	—
365	C₄	—	4	1	no	—
366	C₄	—	8	1	no	—
367	C₄	—	8	1	no	—
368	C₄	#11718130	1	4	yes	—
369	C₂	—	2	4	no	—
370	C₂	#13113154	1	1	yes	characteristic
371	C₂	C₂×Q₈⋊#1055	1	1	yes	characteristic
372	C₂	#13113218	1	1	yes	characteristic
373	C₂	C₂×#11718130	1	1	yes	characteristic
374	C₂	#13113327	1	1	yes	characteristic
375	C₂	#13113424	1	1	yes	characteristic
376	C₂	#13113493	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂²⋊Dic₁₃
commutator	C₂×C₄×C₁₃	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₁₃
Fitting	C₄×C₁₃×C₂²⋊Q₈	C₂
socle	C₂³×C₁₃	C₂×C₂²⋊C₄
prime radical	C₂⁴×C₁₃	C₂²⋊C₄
cosocle	C₂×C₄²×C₁₃	C₂³
hypercenter	C₄×C₂²⋊Q₈	D₁₃
hypocenter	C₁₃	#7566
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂²×C₄² ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
3. #13112662	C₂	semidirect
4. #13112659	C₂	semidirect
28. C₁₃×C₂²⋊Q₈	C₈	semidirect
62. C₂×Q₈×C₁₃	C₂×C₈	semidirect
90. C₁₃×C₄⋊C₄	C₂×C₈	semidirect
213. C₂²⋊Q₈	#1055	semidirect
249. C₂×Q₈	C₂×#1055	semidirect
284. C₄⋊C₄	C₂×#1055	semidirect
293. C₁₃	#7566	semidirect

Maximal subgroups

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

subgroup	index
C₄×C₂²⋊#1055	2
C₂×#11718116	2
#13112662	2
#13112659	2
C₄×C₁₃×C₂²⋊Q₈	2
#7566	13