Subgroups — #15834672

Order 3328.

722 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13125412	C₂	1	1	yes	maximal, characteristic
2	#13123575	C₂	1	2	yes	maximal, complemented
3	#13113722	C₂	1	1	yes	maximal, characteristic, complemented
4	#13113721	C₂	1	1	yes	maximal, characteristic, complemented
5	#13113668	C₂	1	2	yes	maximal, complemented
6	#13113665	C₂	1	2	yes	maximal, complemented
7	#13113630	C₂	1	1	yes	maximal, characteristic, complemented
8	D₁₃×#335	C₂	1	1	yes	maximal, characteristic, complemented
9	#13113233	C₂	1	2	yes	maximal, complemented
10	C₈×#6094	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈×C₁₃×D₈	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#88155	—	2	2	no	—
13	#11719253	C₂²	1	2	yes	—
14	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
15	C₈×D₄×C₁₃	C₂²	1	2	yes	—
16	#11718818	C₄	1	1	yes	characteristic
17	#11718812	C₄	1	1	yes	characteristic
18	#11718772	—	2	2	no	—
19	C₄×#6104	C₂²	1	2	yes	—
20	#11718673	C₂²	1	2	yes	—
21	#11718544	C₄	1	1	yes	characteristic
22	#11718535	C₄	1	1	yes	characteristic
23	#11718495	C₂²	1	2	yes	—
24	D₁₃×C₄⋊C₈	C₂²	1	2	yes	—
25	#11718436	C₄	1	2	yes	—
26	#11718421	C₄	1	2	yes	—
27	#11718389	—	2	2	no	—
28	#11718388	—	2	2	no	—
29	C₄×D₁₀₄	C₂²	1	1	yes	characteristic
30	#11718349	C₂²	1	2	yes	—
31	C₄×#6094	C₂²	1	1	yes	characteristic
32	#11718346	C₂²	1	1	yes	characteristic
33	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#335	C₂²	1	1	yes	characteristic
35	C₁₃×D₄⋊C₈	C₂²	1	2	yes	—
36	C₈²×C₁₃	C₂²	1	1	yes	characteristic
37	D₄⋊#1055	C₂²	1	2	yes	—
38	#11718075	C₂²	1	2	yes	—
39	#11718071	C₂²	1	2	yes	—
40	#11718051	C₂²	1	2	yes	—
41	#11718050	C₂²	1	1	yes	characteristic
42	#11718047	C₂²	1	1	yes	characteristic
43	#11718046	C₂²	1	1	yes	characteristic
44	C₈×#1055	C₂²	1	1	yes	characteristic
45	C₂×#6127	—	2	2	no	—
46	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	—	2	2	no	—
48	C₄×D₄×C₁₃	C₂³	1	2	yes	—
49	#88194	C₂×C₄	1	2	yes	—
50	#88192	C₂×C₄	1	2	yes	—
51	C₂×#6104	C₂×C₄	1	2	yes	—
52	C₄×C₂²⋊D₁₃	—	2	2	no	—
53	C₂×#6099	—	2	2	no	—
54	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic
55	#88155	—	4	8	no	—
56	C₂×#6094	—	2	2	no	—
57	C₂×#6094	D₄	1	1	yes	characteristic
58	C₂×#6094	D₄	1	1	yes	characteristic
59	C₂×C₈×D₁₃	—	2	2	no	—
60	C₂×C₈×D₁₃	—	2	2	no	—
61	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
62	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
63	#88149	C₂×C₄	1	2	yes	—
64	#88142	C₂×C₄	1	2	yes	—
65	#88139	—	2	2	no	—
66	#88138	—	2	2	no	—
67	C₄×D₅₂	C₂³	1	2	yes	—
68	C₄²×D₁₃	C₂³	1	1	yes	characteristic
69	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
70	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
71	C₁₃×#102	C₂×C₄	1	2	yes	—
72	C₁₃×C₂²⋊C₈	—	2	2	no	—
73	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
75	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
76	#88072	C₂×C₄	1	2	yes	—
77	C₂²⋊#1055	—	2	2	no	—
78	#88061	C₂×C₄	1	2	yes	—
79	#88060	—	2	1	no	—
80	#88060	—	2	2	no	—
81	#88060	—	2	2	no	—
82	#88058	C₂×C₄	1	1	yes	characteristic
83	#88055	D₄	1	1	yes	characteristic
84	#88055	D₄	1	1	yes	characteristic
85	#88054	—	2	2	no	—
86	#88054	—	2	1	no	—
87	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
88	C₈×Dic₁₃	C₂×C₄	1	1	yes	characteristic
89	#88049	C₂×C₄	1	2	yes	—
90	#88047	C₂×C₄	1	2	yes	—
91	C₄⋊#1055	C₂³	1	2	yes	—
92	C₄×#1055	C₂³	1	1	yes	characteristic
93	C₄×#1055	C₂³	1	1	yes	characteristic
94	C₄×#1055	C₂³	1	1	yes	characteristic
95	#18066	—	13	1	no	maximal, Sylow
96	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
97	C₂²×C₄×C₁₃	—	2	2	no	—
98	C₂×C₂²⋊D₁₃	—	2	2	no	—
99	C₂×C₂²⋊D₁₃	—	2	2	no	—
100	C₂×C₂²⋊D₁₃	—	2	2	no	—
101	#6127	—	4	4	no	—
102	#6127	—	4	4	no	—
103	C₂×D₅₂	—	2	2	no	—
104	C₂×D₅₂	C₂²×C₄	1	2	yes	—
105	C₂×C₄×D₁₃	—	2	2	no	—
106	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
108	C₂×C₄×D₁₃	#41	1	1	yes	characteristic
109	C₂×Dic₂₆	—	2	2	no	—
110	C₁₃×D₈	—	2	2	no	—
111	C₂×C₈×C₁₃	—	2	2	no	—
112	C₂×C₈×C₁₃	—	2	1	no	—
113	C₂×C₈×C₁₃	—	4	4	no	—
114	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
115	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
118	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
119	C₁₃×C₂²⋊C₄	—	2	2	no	—
120	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
121	C₂²⋊Dic₁₃	—	2	2	no	—
122	#6104	—	4	2	no	—
123	#6103	—	2	2	no	—
124	#6103	—	2	2	no	—
125	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
126	#6101	—	2	2	no	—
127	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
128	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
129	C₄×Dic₁₃	#41	1	1	yes	characteristic
130	#6099	—	4	4	no	—
131	C₂×#1055	—	2	2	no	—
132	C₂×#1055	—	2	1	no	—
133	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
134	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
135	C₂×#1055	C₂×D₄	1	1	yes	characteristic
136	C₂×#1055	C₂×D₄	1	1	yes	characteristic
137	D₁₀₄	—	2	2	no	—
138	#6094	—	2	2	no	—
139	#6094	—	4	4	no	—
140	#6094	D₈	1	4	yes	complemented
141	C₈×D₁₃	—	2	2	no	—
142	C₈×D₁₃	—	4	1	no	—
143	C₈×D₁₃	—	4	4	no	—
144	C₈×D₁₃	—	4	4	no	—
145	#3169	—	13	1	no	—
146	#2935	—	13	2	no	—
147	#1589	—	13	1	no	—
148	#1589	—	13	1	no	—
149	#1581	—	13	2	no	—
150	#1581	—	13	2	no	—
151	C₈×D₈	—	13	1	no	—
152	C₈×D₈	D₁₃	1	1	yes	characteristic, complemented
153	C₂×#335	—	13	1	no	—
154	#1480	—	13	2	no	—
155	C₈×M₁₆	—	13	1	no	—
156	C₂³×C₁₃	—	2	2	no	—
157	C₂²×D₁₃	—	2	2	no	—
158	C₂²×D₁₃	C₄×D₄	1	1	yes	characteristic
159	D₄×C₁₃	—	2	2	no	—
160	D₄×C₁₃	—	2	2	no	—
161	C₂×C₄×C₁₃	—	2	2	no	—
162	C₂×C₄×C₁₃	—	4	2	no	—
163	C₂×C₄×C₁₃	—	4	2	no	—
164	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
167	C₂²⋊D₁₃	—	4	4	no	—
168	C₂²⋊D₁₃	—	4	4	no	—
169	C₂²⋊D₁₃	—	8	2	no	—
170	C₂×Dic₁₃	—	2	2	no	—
171	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
172	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
173	C₂×Dic₁₃	C₄×D₄	1	1	yes	characteristic
174	D₅₂	—	2	2	no	—
175	D₅₂	—	2	2	no	—
176	D₅₂	—	4	4	no	—
177	C₄×D₁₃	—	2	1	no	—
178	C₄×D₁₃	—	2	1	no	—
179	C₄×D₁₃	—	4	1	no	—
180	C₄×D₁₃	—	4	2	no	—
181	C₄×D₁₃	—	4	2	no	—
182	C₄×D₁₃	C₂×D₈	1	2	yes	—
183	C₄×D₁₃	#135	1	2	yes	—
184	Dic₂₆	—	4	4	no	—
185	C₈×C₁₃	—	2	1	no	—
186	C₈×C₁₃	—	2	1	no	—
187	C₈×C₁₃	—	4	1	no	—
188	C₈×C₁₃	—	4	2	no	—
189	C₈×C₁₃	#131	1	2	yes	complemented
190	C₈×C₁₃	C₂×D₈	1	2	yes	—
191	#1055	—	2	1	no	—
192	#1055	—	2	1	no	—
193	#1055	—	2	1	no	—
194	#1055	—	4	1	no	—
195	#1055	—	4	2	no	—
196	#1055	C₂×D₈	1	2	yes	—
197	C₂×#131	—	26	2	no	—
198	#532	—	13	2	no	—
199	#500	—	13	1	no	—
200	#493	—	13	1	no	—
201	#486	—	13	2	no	—
202	#466	—	13	1	no	—
203	#466	—	13	1	no	—
204	#466	—	13	2	no	—
205	C₄×D₈	—	13	2	no	—
206	C₄×D₈	—	13	1	no	—
207	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic
208	#436	—	13	2	no	—
209	#436	—	13	2	no	—
210	#435	—	26	2	no	—
211	#435	—	26	2	no	—
212	C₈×D₄	—	13	2	no	—
213	C₈×D₄	C₂×D₁₃	1	2	yes	—
214	#431	—	13	1	no	—
215	C₂×C₄⋊C₈	—	13	2	no	—
216	#408	—	26	2	no	—
217	C₄×M₁₆	—	13	1	no	—
218	C₂×C₄×C₈	—	13	1	no	—
219	#335	—	13	2	no	—
220	#335	—	13	1	no	—
221	#335	C₂×D₁₃	1	1	yes	characteristic
222	D₄⋊C₈	—	13	2	no	—
223	D₄⋊C₈	—	13	2	no	—
224	D₄⋊C₈	—	13	2	no	—
225	D₄⋊C₈	C₂×D₁₃	1	2	yes	—
226	#322	—	13	1	no	—
227	#322	—	13	1	no	—
228	C₈²	—	13	1	no	—
229	C₈²	C₂×D₁₃	1	1	yes	characteristic
230	C₂²×C₁₃	—	4	2	no	—
231	C₂²×C₁₃	—	4	2	no	—
232	C₂²×C₁₃	—	4	2	no	—
233	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
234	C₂×D₁₃	—	2	1	no	—
235	C₂×D₁₃	—	2	1	no	—
236	C₂×D₁₃	—	4	2	no	—
237	C₂×D₁₃	—	4	2	no	—
238	C₂×D₁₃	—	4	2	no	—
239	C₂×D₁₃	C₄×D₈	1	2	yes	—
240	C₄×C₁₃	—	2	1	no	—
241	C₄×C₁₃	—	4	2	no	—
242	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
243	C₄×C₁₃	#568	1	1	yes	characteristic
244	C₄×C₁₃	C₂²×D₈	1	1	yes	characteristic
245	C₄×C₁₃	C₂×#135	1	1	yes	characteristic
246	Dic₁₃	—	2	1	no	—
247	Dic₁₃	—	2	1	no	—
248	Dic₁₃	—	4	2	no	—
249	Dic₁₃	C₄×D₈	1	2	yes	—
250	C₂×#41	—	26	2	no	—
251	C₂×D₈	—	13	2	no	—
252	C₂×D₈	—	13	1	no	—
253	C₂×D₈	C₄×D₁₃	1	1	yes	characteristic
254	#131	—	52	8	no	—
255	C₂×M₁₆	—	13	1	no	—
256	C₂×M₁₆	—	13	1	no	—
257	C₂×M₁₆	—	26	2	no	—
258	C₂×M₁₆	—	26	2	no	—
259	C₂²×C₈	—	2	2	no	—
260	C₂²×C₈	—	13	1	no	—
261	C₂²×C₈	—	13	1	no	—
262	C₂²×C₈	—	26	2	no	—
263	C₂²×C₈	—	26	2	no	—
264	C₄⋊Q₈	—	13	2	no	—
265	#127	—	13	2	no	—
266	#124	—	26	2	no	—
267	#121	—	13	2	no	—
268	#121	—	13	2	no	—
269	#121	—	26	2	no	—
270	C₄×D₄	—	13	2	no	—
271	C₄×D₄	—	26	2	no	—
272	C₄×D₄	C₂²×D₁₃	1	2	yes	—
273	C₂×C₄²	—	13	1	no	—
274	#107	—	13	1	no	—
275	#107	—	13	2	no	—
276	#107	C₄×D₁₃	1	1	yes	characteristic
277	C₄⋊C₈	—	13	2	no	—
278	C₄⋊C₈	—	26	2	no	—
279	C₄⋊C₈	—	26	1	no	—
280	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
281	#102	—	13	2	no	—
282	#102	—	13	2	no	—
283	#102	—	13	2	no	—
284	#102	C₄×D₁₃	1	2	yes	—
285	C₂²⋊C₈	—	2	2	no	—
286	C₂²⋊C₈	—	26	2	no	—
287	C₂²⋊C₈	—	26	1	no	—
288	C₂²⋊C₈	—	26	2	no	—
289	C₂²⋊C₈	—	26	2	no	—
290	#97	—	13	1	no	—
291	#97	—	13	1	no	—
292	C₄×C₈	—	13	1	no	—
293	C₄×C₈	—	13	1	no	—
294	C₄×C₈	—	13	1	no	—
295	C₄×C₈	—	13	1	no	—
296	C₄×C₈	—	13	1	no	—
297	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
298	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
299	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
300	C₂×C₁₃	—	8	2	no	—
301	C₂×C₁₃	#2935	1	1	yes	characteristic
302	C₂×C₁₃	C₂×C₄×D₈	1	1	yes	characteristic
303	C₂×C₁₃	#2957	1	1	yes	characteristic
304	D₁₃	—	2	2	no	—
305	D₁₃	—	8	2	no	—
306	#41	—	52	4	no	—
307	#41	—	52	4	no	—
308	C₂×Q₈	—	26	2	no	—
309	C₂×D₄	—	13	2	no	—
310	C₂×D₄	—	26	2	no	—
311	C₂×D₄	—	26	2	no	—
312	C₂×D₄	—	26	2	no	—
313	C₂×D₄	—	26	2	no	—
314	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
315	C₂²×C₄	—	2	2	no	—
316	C₂²×C₄	—	13	1	no	—
317	C₂²×C₄	—	13	1	no	—
318	C₂²×C₄	—	13	1	no	—
319	C₂²×C₄	—	26	2	no	—
320	D₈	—	2	2	no	—
321	D₈	—	26	2	no	—
322	D₈	—	52	2	no	—
323	M₁₆	—	13	4	no	—
324	M₁₆	—	26	2	no	—
325	M₁₆	—	52	4	no	—
326	M₁₆	—	52	4	no	—
327	C₂×C₈	—	2	2	no	—
328	C₂×C₈	—	2	1	no	—
329	C₂×C₈	—	4	4	no	—
330	C₂×C₈	—	13	1	no	—
331	C₂×C₈	—	13	1	no	—
332	C₂×C₈	—	13	1	no	—
333	C₂×C₈	—	13	1	no	—
334	C₂×C₈	—	26	2	no	—
335	C₂×C₈	—	26	2	no	—
336	C₂×C₈	—	26	1	no	—
337	C₂×C₈	—	52	1	no	—
338	C₂×C₈	—	52	4	no	—
339	C₂×C₈	—	52	4	no	—
340	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
341	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
342	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
343	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
344	C₄⋊C₄	—	13	2	no	—
345	C₄⋊C₄	—	26	2	no	—
346	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
347	C₂²⋊C₄	—	2	2	no	—
348	C₂²⋊C₄	—	26	2	no	—
349	C₂²⋊C₄	—	26	2	no	—
350	C₂²⋊C₄	—	26	2	no	—
351	C₄²	—	13	1	no	—
352	C₄²	—	13	1	no	—
353	C₄²	—	13	1	no	—
354	C₄²	C₂³×D₁₃	1	1	yes	characteristic
355	C₁₃	#18066	1	1	yes	characteristic, complemented, Sylow
356	C₂³	—	2	2	no	—
357	C₂³	—	13	1	no	—
358	C₂³	—	26	2	no	—
359	Q₈	—	52	4	no	—
360	D₄	—	2	2	no	—
361	D₄	—	2	2	no	—
362	D₄	—	26	2	no	—
363	D₄	—	26	2	no	—
364	D₄	—	52	4	no	—
365	D₄	—	52	4	no	—
366	D₄	—	52	4	no	—
367	D₄	—	104	2	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	13	1	no	—
372	C₂×C₄	—	13	2	no	—
373	C₂×C₄	—	13	2	no	—
374	C₂×C₄	—	13	1	no	—
375	C₂×C₄	—	13	1	no	—
376	C₂×C₄	—	26	1	no	—
377	C₂×C₄	—	26	1	no	—
378	C₂×C₄	—	26	2	no	—
379	C₂×C₄	—	52	1	no	—
380	C₂×C₄	—	52	2	no	—
381	C₂×C₄	—	52	2	no	—
382	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
383	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
384	C₂×C₄	#41×D₁₃	1	1	yes	characteristic
385	C₈	—	2	1	no	—
386	C₈	—	2	1	no	—
387	C₈	—	4	1	no	—
388	C₈	—	4	2	no	—
389	C₈	—	13	2	no	—
390	C₈	—	26	1	no	—
391	C₈	—	26	1	no	—
392	C₈	—	26	1	no	—
393	C₈	—	52	1	no	—
394	C₈	—	52	2	no	—
395	C₈	#88155	1	2	yes	complemented
396	C₈	D₈×D₁₃	1	2	yes	—
397	C₂²	—	4	2	no	—
398	C₂²	—	4	2	no	—
399	C₂²	—	4	2	no	—
400	C₂²	—	13	2	no	—
401	C₂²	—	26	1	no	—
402	C₂²	—	26	1	no	—
403	C₂²	—	52	2	no	—
404	C₂²	—	52	2	no	—
405	C₂²	—	52	2	no	—
406	C₂²	C₄×D₄×D₁₃	1	1	yes	characteristic
407	C₄	—	2	1	no	—
408	C₄	—	4	2	no	—
409	C₄	—	13	2	no	—
410	C₄	—	26	1	no	—
411	C₄	—	26	1	no	—
412	C₄	—	52	2	no	—
413	C₄	C₂×#88155	1	1	yes	characteristic
414	C₄	#11719455	1	1	yes	characteristic
415	C₄	C₂×D₈×D₁₃	1	1	yes	characteristic
416	C₄	D₁₃×#135	1	1	yes	characteristic
417	C₂	—	8	2	no	—
418	C₂	—	26	2	no	—
419	C₂	—	104	2	no	—
420	C₂	#13123575	1	1	yes	characteristic
421	C₂	C₄×D₈×D₁₃	1	1	yes	characteristic
422	C₂	#13123748	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₈×C₁₃×D₈	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	#13125412	C₂
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	C₈×D₈	D₁₃
hypocenter	C₁₃	#18066
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×C₈ ◁ C₈×D₈

Complements

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

N	H ≅ G/N	type
2. #13123575	C₂	semidirect
3. #13113722	C₂	semidirect
4. #13113721	C₂	semidirect
5. #13113668	C₂	semidirect
6. #13113665	C₂	semidirect
7. #13113630	C₂	semidirect
8. D₁₃×#335	C₂	semidirect
9. #13113233	C₂	semidirect
10. C₈×#6094	C₂	semidirect
11. C₈×C₁₃×D₈	C₂	semidirect
140. #6094	D₈	semidirect
152. C₈×D₈	D₁₃	semidirect
189. C₈×C₁₃	#131	semidirect
355. C₁₃	#18066	semidirect
395. C₈	#88155	semidirect

Maximal subgroups

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

subgroup	index
#13125412	2
#13123575	2
#13113722	2
#13113721	2
#13113668	2
#13113665	2
#13113630	2
D₁₃×#335	2
#13113233	2
C₈×#6094	2
C₈×C₁₃×D₈	2
#18066	13