Subgroups — #13123882

Order 1664.

412 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11719229	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
3	#11718661	C₂	1	1	yes	maximal, characteristic, complemented
4	#11718499	C₂	1	1	yes	maximal, characteristic, complemented
5	#11718497	C₂	1	1	yes	maximal, characteristic, complemented
6	#11718497	C₂	1	1	yes	maximal, characteristic, complemented
7	#11718495	C₂	1	1	yes	maximal, characteristic, complemented
8	#11718388	C₂	1	1	yes	maximal, characteristic, complemented
9	#11718388	C₂	1	1	yes	maximal, characteristic, complemented
10	#11718387	C₂	1	1	yes	maximal, characteristic, complemented
11	D₁₃×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
12	#11718367	C₂	1	1	yes	maximal, characteristic, complemented
13	#11718367	C₂	1	1	yes	maximal, characteristic, complemented
14	#11718349	C₂	1	1	yes	maximal, characteristic, complemented
15	C₈×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#6127	C₂²	1	1	yes	characteristic
17	C₂²×C₄×D₁₃	C₂²	1	1	yes	characteristic
18	C₁₃×#117	C₂²	1	1	yes	characteristic
19	C₂×#6094	C₂²	1	1	yes	characteristic
20	C₂×#6094	C₂²	1	1	yes	characteristic
21	C₂×#6094	C₂²	1	1	yes	characteristic, complemented
22	C₂×#6094	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₈×D₁₃	C₂²	1	1	yes	characteristic
24	C₂×C₈×D₁₃	C₂²	1	1	yes	characteristic
25	C₂×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
27	#88151	C₄	1	1	yes	characteristic
28	#88151	C₄	1	1	yes	characteristic
29	#88149	C₄	1	1	yes	characteristic
30	#88149	C₄	1	1	yes	characteristic
31	#88140	C₄	1	1	yes	characteristic
32	#88140	C₄	1	1	yes	characteristic
33	#88136	C₄	1	1	yes	characteristic
34	#88136	C₄	1	1	yes	characteristic
35	C₄×D₅₂	C₂²	1	1	yes	characteristic
36	C₄×D₅₂	C₂²	1	1	yes	characteristic
37	C₄×D₅₂	C₂²	1	1	yes	characteristic
38	C₄×D₅₂	C₂²	1	1	yes	characteristic
39	C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
42	C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
43	C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
44	C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²⋊#1055	C₂²	1	1	yes	characteristic
46	C₂²⋊#1055	C₂²	1	1	yes	characteristic
47	#88060	C₂²	1	1	yes	characteristic
48	#88060	C₂²	1	1	yes	characteristic
49	#88060	C₂²	1	1	yes	characteristic
50	#88060	C₂²	1	1	yes	characteristic
51	#88060	C₂²	1	1	yes	characteristic, complemented
52	#88060	C₂²	1	1	yes	characteristic, complemented
53	#88060	C₂²	1	1	yes	characteristic, complemented
54	#88060	C₂²	1	1	yes	characteristic, complemented
55	C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
56	C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
57	#88043	C₂²	1	1	yes	characteristic, complemented
58	C₄×#1055	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₃	C₂×C₄	1	1	yes	characteristic
60	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
61	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
62	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
63	C₂²×Dic₁₃	C₂×C₄	1	1	yes	characteristic
64	#6127	—	4	1	no	—
65	#6127	—	4	1	no	—
66	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
67	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
68	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
69	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
70	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
71	C₂×C₄×D₁₃	—	4	1	no	—
72	C₂×C₄×D₁₃	—	4	1	no	—
73	C₂×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
74	C₂×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
75	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
76	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
77	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
78	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
79	C₂×Dic₂₆	C₂×C₄	1	1	yes	characteristic
80	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
84	C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
85	C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
86	C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
87	C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
88	C₄²×C₁₃	C₂³	1	1	yes	characteristic
89	C₄²×C₁₃	C₂³	1	1	yes	characteristic
90	#6103	C₂×C₄	1	1	yes	characteristic
91	#6103	C₂×C₄	1	1	yes	characteristic
92	#6103	C₂×C₄	1	1	yes	characteristic
93	#6103	C₂×C₄	1	1	yes	characteristic
94	#6103	C₂×C₄	1	1	yes	characteristic
95	#6103	C₂×C₄	1	1	yes	characteristic
96	#6103	C₂×C₄	1	1	yes	characteristic
97	#6103	C₂×C₄	1	1	yes	characteristic
98	C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
99	C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
100	C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
101	C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
102	C₂×#1055	C₂³	1	1	yes	characteristic
103	C₂×#1055	C₂³	1	1	yes	characteristic
104	C₂×#1055	C₂³	1	1	yes	characteristic
105	C₂×#1055	C₂³	1	1	yes	characteristic
106	#6094	—	4	1	no	—
107	#6094	—	4	1	no	—
108	#6094	—	4	1	no	—
109	#6094	—	4	1	no	—
110	C₈×D₁₃	—	4	1	no	—
111	C₈×D₁₃	—	4	1	no	—
112	C₈×D₁₃	—	4	1	no	—
113	C₈×D₁₃	—	4	1	no	—
114	#2976	—	13	1	no	maximal, Sylow
115	C₂³×C₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₂²×D₁₃	—	2	2	no	—
117	C₂²×D₁₃	—	4	1	no	—
118	C₂²×D₁₃	—	4	1	no	—
119	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
120	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
121	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
122	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
123	C₂×C₄×C₁₃	—	2	1	no	—
124	C₂×C₄×C₁₃	—	2	1	no	—
125	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
126	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
127	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
128	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
129	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
130	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
131	C₂²⋊D₁₃	—	4	1	no	—
132	C₂²⋊D₁₃	—	4	1	no	—
133	C₂×Dic₁₃	—	4	1	no	—
134	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
135	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
136	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
137	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
138	D₅₂	—	2	2	no	—
139	D₅₂	—	2	2	no	—
140	D₅₂	—	4	1	no	—
141	D₅₂	—	4	1	no	—
142	D₅₂	—	4	1	no	—
143	C₄×D₁₃	—	2	1	no	—
144	C₄×D₁₃	—	2	1	no	—
145	C₄×D₁₃	—	2	1	no	—
146	C₄×D₁₃	—	2	1	no	—
147	C₄×D₁₃	—	2	1	no	—
148	C₄×D₁₃	—	2	1	no	—
149	C₄×D₁₃	—	2	1	no	—
150	C₄×D₁₃	—	2	1	no	—
151	C₄×D₁₃	—	4	1	no	—
152	C₄×D₁₃	—	4	1	no	—
153	Dic₂₆	—	4	1	no	—
154	C₈×C₁₃	—	2	1	no	—
155	C₈×C₁₃	—	2	1	no	—
156	C₈×C₁₃	—	2	1	no	—
157	C₈×C₁₃	—	2	1	no	—
158	#1055	—	2	1	no	—
159	#1055	—	2	1	no	—
160	#1055	—	2	1	no	—
161	#1055	—	2	1	no	—
162	#525	—	13	1	no	—
163	#436	—	13	1	no	—
164	#436	—	13	1	no	—
165	#435	—	13	1	no	—
166	#435	—	13	1	no	—
167	#435	—	13	1	no	—
168	#435	—	13	1	no	—
169	C₈×D₄	—	13	1	no	—
170	C₈×D₄	—	13	1	no	—
171	#433	—	13	1	no	—
172	#433	D₁₃	1	1	yes	characteristic, complemented
173	#408	—	13	1	no	—
174	#408	—	13	1	no	—
175	#407	—	13	1	no	—
176	C₂×C₂²⋊C₈	—	13	1	no	—
177	C₂²×C₁₃	—	2	1	no	—
178	C₂²×C₁₃	—	2	1	no	—
179	C₂²×C₁₃	—	2	1	no	—
180	C₂²×C₁₃	C₂³×C₄	1	1	yes	characteristic
181	C₂×D₁₃	—	2	1	no	—
182	C₂×D₁₃	—	2	1	no	—
183	C₂×D₁₃	—	2	1	no	—
184	C₂×D₁₃	—	2	1	no	—
185	C₂×D₁₃	—	2	1	no	—
186	C₂×D₁₃	—	2	1	no	—
187	C₂×D₁₃	—	2	1	no	—
188	C₂×D₁₃	—	2	1	no	—
189	C₂×D₁₃	—	2	1	no	—
190	C₂×D₁₃	—	2	1	no	—
191	C₂×D₁₃	—	2	1	no	—
192	C₂×D₁₃	—	4	4	no	—
193	C₂×D₁₃	#131	1	2	yes	—
194	C₄×C₁₃	—	2	1	no	—
195	C₄×C₁₃	—	2	1	no	—
196	C₄×C₁₃	—	2	1	no	—
197	C₄×C₁₃	—	2	1	no	—
198	C₄×C₁₃	—	2	1	no	—
199	C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
200	C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
201	Dic₁₃	—	2	1	no	—
202	Dic₁₃	—	2	1	no	—
203	Dic₁₃	—	2	1	no	—
204	Dic₁₃	—	2	1	no	—
205	C₂×#41	—	13	1	no	—
206	C₂³×C₄	—	13	1	no	—
207	C₂×M₁₆	—	13	1	no	—
208	C₂×M₁₆	—	13	1	no	—
209	C₂×M₁₆	—	13	1	no	—
210	C₂×M₁₆	—	13	1	no	—
211	C₂²×C₈	—	13	1	no	—
212	C₂²×C₈	—	13	1	no	—
213	C₂²×C₈	—	13	1	no	—
214	C₂²×C₈	—	13	1	no	—
215	#123	—	13	1	no	—
216	#123	—	13	1	no	—
217	C₂²⋊Q₈	—	13	1	no	—
218	C₂²⋊Q₈	—	13	1	no	—
219	#121	—	13	1	no	—
220	#121	—	13	1	no	—
221	#120	—	13	1	no	—
222	#120	—	13	1	no	—
223	C₄×D₄	—	13	1	no	—
224	C₄×D₄	—	13	1	no	—
225	C₄×D₄	—	13	1	no	—
226	C₄×D₄	—	13	1	no	—
227	#117	C₂×D₁₃	1	1	yes	characteristic
228	C₄⋊C₈	—	13	1	no	—
229	C₄⋊C₈	—	13	1	no	—
230	C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
231	C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
232	C₂²⋊C₈	—	13	1	no	—
233	C₂²⋊C₈	—	13	1	no	—
234	C₂²⋊C₈	—	13	1	no	—
235	C₂²⋊C₈	—	13	1	no	—
236	C₂²⋊C₈	—	13	1	no	—
237	C₂²⋊C₈	—	13	1	no	—
238	C₂²⋊C₈	—	13	1	no	—
239	C₂²⋊C₈	—	13	1	no	—
240	C₂²⋊C₈	—	13	1	no	—
241	C₂²⋊C₈	—	13	1	no	—
242	C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic
243	C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic
244	#97	—	13	1	no	—
245	#97	C₂×D₁₃	1	1	yes	characteristic, complemented
246	C₄×C₈	—	13	1	no	—
247	C₄×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
248	C₂×C₁₃	—	4	1	no	—
249	C₂×C₁₃	#518	1	1	yes	characteristic
250	C₂×C₁₃	C₂×#131	1	1	yes	characteristic
251	C₂×C₁₃	#568	1	1	yes	characteristic
252	D₁₃	—	2	2	no	—
253	D₁₃	—	4	1	no	—
254	D₁₃	—	4	1	no	—
255	D₁₃	—	4	1	no	—
256	C₂⁴	—	13	1	no	—
257	#41	—	52	1	no	—
258	#41	—	52	1	no	—
259	C₂×Q₈	—	13	1	no	—
260	C₂×D₄	—	13	1	no	—
261	C₂×D₄	—	13	1	no	—
262	C₂×D₄	—	13	1	no	—
263	C₂×D₄	—	13	1	no	—
264	C₂×D₄	—	13	1	no	—
265	C₂×D₄	—	13	1	no	—
266	C₂×D₄	—	13	1	no	—
267	C₂²×C₄	—	13	1	no	—
268	C₂²×C₄	—	13	1	no	—
269	C₂²×C₄	—	13	1	no	—
270	C₂²×C₄	—	13	1	no	—
271	C₂²×C₄	—	13	1	no	—
272	C₂²×C₄	—	13	1	no	—
273	C₂²×C₄	—	13	1	no	—
274	C₂²×C₄	—	52	1	no	—
275	C₂²×C₄	—	52	1	no	—
276	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
277	M₁₆	—	52	1	no	—
278	M₁₆	—	52	1	no	—
279	M₁₆	—	52	1	no	—
280	M₁₆	—	52	1	no	—
281	C₂×C₈	—	13	1	no	—
282	C₂×C₈	—	13	1	no	—
283	C₂×C₈	—	13	1	no	—
284	C₂×C₈	—	13	1	no	—
285	C₂×C₈	—	52	1	no	—
286	C₂×C₈	—	52	1	no	—
287	C₂×C₈	—	52	1	no	—
288	C₂×C₈	—	52	1	no	—
289	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
290	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
291	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
292	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
293	C₄⋊C₄	—	13	1	no	—
294	C₄⋊C₄	—	13	1	no	—
295	C₄⋊C₄	—	13	1	no	—
296	C₄⋊C₄	—	13	1	no	—
297	C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
298	C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
299	C₂²⋊C₄	—	13	1	no	—
300	C₂²⋊C₄	—	13	1	no	—
301	C₂²⋊C₄	—	13	1	no	—
302	C₂²⋊C₄	—	13	1	no	—
303	C₂²⋊C₄	—	13	1	no	—
304	C₂²⋊C₄	—	13	1	no	—
305	C₂²⋊C₄	—	13	1	no	—
306	C₂²⋊C₄	—	13	1	no	—
307	C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
308	C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
309	C₄²	C₂²×D₁₃	1	1	yes	characteristic
310	C₄²	C₂²×D₁₃	1	1	yes	characteristic
311	C₁₃	#2976	1	1	yes	characteristic, complemented, Sylow
312	C₂³	—	13	1	no	—
313	C₂³	—	13	1	no	—
314	C₂³	—	13	1	no	—
315	C₂³	—	13	1	no	—
316	C₂³	—	26	2	no	—
317	C₂³	—	52	1	no	—
318	C₂³	—	52	1	no	—
319	C₂³	C₂×C₄×D₁₃	1	1	yes	characteristic
320	Q₈	—	52	1	no	—
321	D₄	—	26	2	no	—
322	D₄	—	26	2	no	—
323	D₄	—	52	1	no	—
324	D₄	—	52	1	no	—
325	D₄	—	52	1	no	—
326	D₄	—	52	1	no	—
327	D₄	—	52	1	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	13	1	no	—
331	C₂×C₄	—	13	1	no	—
332	C₂×C₄	—	13	1	no	—
333	C₂×C₄	—	13	1	no	—
334	C₂×C₄	—	26	1	no	—
335	C₂×C₄	—	26	1	no	—
336	C₂×C₄	—	26	1	no	—
337	C₂×C₄	—	26	1	no	—
338	C₂×C₄	—	26	1	no	—
339	C₂×C₄	—	26	1	no	—
340	C₂×C₄	—	26	1	no	—
341	C₂×C₄	—	26	1	no	—
342	C₂×C₄	—	52	1	no	—
343	C₂×C₄	—	52	1	no	—
344	C₂×C₄	—	52	1	no	—
345	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
346	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
347	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
348	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
349	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
350	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
351	C₈	—	2	1	no	—
352	C₈	—	2	1	no	—
353	C₈	—	2	1	no	—
354	C₈	—	2	1	no	—
355	C₈	—	26	1	no	—
356	C₈	—	26	1	no	—
357	C₈	—	26	1	no	—
358	C₈	—	26	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	13	2	no	—
363	C₂²	—	26	1	no	—
364	C₂²	—	26	1	no	—
365	C₂²	—	26	1	no	—
366	C₂²	—	26	1	no	—
367	C₂²	—	26	1	no	—
368	C₂²	—	26	1	no	—
369	C₂²	—	26	1	no	—
370	C₂²	—	26	1	no	—
371	C₂²	—	26	1	no	—
372	C₂²	—	26	1	no	—
373	C₂²	—	26	1	no	—
374	C₂²	—	52	4	no	—
375	C₂²	C₂²×C₄×D₁₃	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	2	1	no	—
379	C₄	—	2	1	no	—
380	C₄	—	2	1	no	—
381	C₄	—	26	1	no	—
382	C₄	—	26	1	no	—
383	C₄	—	26	1	no	—
384	C₄	—	26	1	no	—
385	C₄	#88256	1	1	yes	characteristic
386	C₄	#88256	1	1	yes	characteristic
387	C₂	—	4	1	no	—
388	C₂	—	26	2	no	—
389	C₂	—	52	1	no	—
390	C₂	—	52	1	no	—
391	C₂	—	52	1	no	—
392	C₂	#11719226	1	1	yes	characteristic
393	C₂	D₁₃×#131	1	1	yes	characteristic
394	C₂	#11719455	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×D₁₃
commutator, socle	C₂²×C₁₃	C₂³×C₄
Fitting	C₁₃×#433	C₂
prime radical	#11719229	C₂
cosocle	C₂×C₄×C₁₃	C₂⁴
hypercenter	#433	D₁₃
hypocenter	C₁₃	#2976
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #433

Complements

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

N	H ≅ G/N	type
2. C₁₃×#433	C₂	semidirect
3. #11718661	C₂	semidirect
4. #11718499	C₂	semidirect
5. #11718497	C₂	semidirect
6. #11718497	C₂	semidirect
7. #11718495	C₂	semidirect
8. #11718388	C₂	semidirect
9. #11718388	C₂	semidirect
10. #11718387	C₂	semidirect
11. D₁₃×C₂²⋊C₈	C₂	semidirect
12. #11718367	C₂	semidirect
13. #11718367	C₂	semidirect
14. #11718349	C₂	semidirect
15. C₈×D₅₂	C₂	semidirect
21. C₂×#6094	C₂²	semidirect
22. C₂×#6094	C₂²	semidirect
25. C₂×C₈×D₁₃	C₂²	semidirect
26. C₂×C₈×D₁₃	C₂²	semidirect
39. C₁₃×C₄⋊C₈	C₂²	semidirect
40. C₁₃×C₄⋊C₈	C₂²	semidirect
43. C₁₃×#97	C₂²	semidirect
44. C₄×C₈×C₁₃	C₂²	semidirect
51. #88060	C₂²	semidirect
52. #88060	C₂²	semidirect
53. #88060	C₂²	semidirect
54. #88060	C₂²	semidirect
55. C₄⋊#1055	C₂²	semidirect
56. C₄⋊#1055	C₂²	semidirect
57. #88043	C₂²	semidirect
58. C₄×#1055	C₂²	semidirect
172. #433	D₁₃	semidirect
230. C₄⋊C₈	C₂×D₁₃	semidirect
231. C₄⋊C₈	C₂×D₁₃	semidirect
245. #97	C₂×D₁₃	semidirect
247. C₄×C₈	C₂×D₁₃	semidirect
311. C₁₃	#2976	semidirect

Maximal subgroups

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

subgroup	index
#11719229	2
C₁₃×#433	2
#11718661	2
#11718499	2
#11718497	2
#11718495	2
#11718388	2
#11718387	2
D₁₃×C₂²⋊C₈	2
#11718367	2
#11718349	2
C₈×D₅₂	2
#2976	13