Subgroups — #15876842

Order 3328.

772 conjugacy classes of subgroups.

The subgroup lattice has 436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13125325	C₂	1	1	yes	maximal, characteristic
2	#13123752	C₂	1	1	yes	maximal, characteristic
3	#13123704	C₂	1	1	yes	maximal, characteristic, complemented
4	#13115734	C₂	1	1	yes	maximal, characteristic
5	#13115371	C₂	1	2	yes	maximal, complemented
6	#13115355	C₂	1	2	yes	maximal, complemented
7	#13115328	C₂	1	2	yes	maximal, complemented
8	#13115312	C₂	1	2	yes	maximal, complemented
9	#13114961	C₂	1	1	yes	maximal, characteristic, complemented
10	#13114591	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1979	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
13	#11719521	C₂²	1	2	yes	—
14	#11719517	C₂²	1	2	yes	—
15	C₂×#88196	C₂²	1	2	yes	—
16	#11719450	C₂²	1	2	yes	—
17	C₂×#88158	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
19	C₁₃×#419	C₂²	1	2	yes	—
20	C₂×C₁₃×#101	C₂²	1	2	yes	—
21	C₁₃×#405	C₂²	1	1	yes	characteristic
22	#11718886	C₂²	1	2	yes	—
23	#11718852	C₄	1	2	yes	complemented
24	#11718851	C₄	1	4	yes	complemented
25	#11718845	—	2	2	no	—
26	Q₁₆×Dic₁₃	—	2	2	no	—
27	#11718842	C₄	1	2	yes	complemented
28	#11718800	C₂²	1	2	yes	—
29	#11718800	C₂²	1	2	yes	—
30	#11718767	C₂²	1	1	yes	characteristic
31	#11718762	C₂²	1	1	yes	characteristic
32	#11718762	C₂²	1	1	yes	characteristic
33	#11718667	C₂²	1	2	yes	—
34	#11718556	—	2	2	no	—
35	#11718555	—	2	2	no	—
36	#11718152	C₂²	1	1	yes	characteristic
37	#11718151	C₂²	1	2	yes	—
38	#11718149	C₂²	1	2	yes	—
39	#11718149	C₂²	1	1	yes	characteristic
40	#11718123	C₂²	1	1	yes	characteristic
41	#11718123	C₂²	1	1	yes	characteristic
42	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
43	C₂×#6127	C₂³	1	2	yes	—
44	C₂×C₁₃×Q₁₆	—	2	1	no	—
45	C₂×C₁₃×Q₁₆	—	2	1	no	—
46	C₂×C₁₃×Q₁₆	—	2	1	no	—
47	C₂×C₁₃×Q₁₆	—	2	1	no	—
48	C₂×C₁₃×Q₁₆	C₂×C₄	1	2	yes	—
49	C₂×C₁₃×Q₁₆	C₂×C₄	1	2	yes	—
50	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
51	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
52	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
53	C₁₃×#117	C₂³	1	1	yes	characteristic
54	#88201	C₂×C₄	1	4	yes	—
55	#88200	—	4	2	no	—
56	Q₈×Dic₁₃	—	2	4	no	—
57	Q₈×Dic₁₃	—	4	2	no	—
58	#88198	C₂×C₄	1	4	yes	—
59	C₂×#6107	C₂×C₄	1	4	yes	—
60	#88196	—	4	2	no	—
61	#88196	—	4	2	no	—
62	C₂×#6106	C₂×C₄	1	4	yes	—
63	#88183	—	4	2	no	—
64	#88180	—	4	2	no	—
65	#88180	C₂³	1	2	yes	—
66	#88180	C₂³	1	1	yes	characteristic
67	#88180	C₂³	1	1	yes	characteristic
68	C₂×#6099	C₂³	1	1	yes	characteristic
69	C₂×#6099	C₂³	1	1	yes	characteristic
70	#88161	—	2	4	no	—
71	M₁₆×D₁₃	—	4	2	no	—
72	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic
73	#88158	—	2	1	no	—
74	#88158	—	2	1	no	—
75	#88158	—	2	1	no	—
76	#88158	—	2	1	no	—
77	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic
78	C₂×#6095	C₂×C₄	1	2	yes	—
79	#88155	—	4	2	no	—
80	C₁₃×#108	—	2	1	no	—
81	C₁₃×#108	—	2	1	no	—
82	C₁₃×#103	—	4	2	no	—
83	C₁₃×#101	—	4	2	no	—
84	C₁₃×#97	—	2	1	no	—
85	C₄×C₈×C₁₃	—	2	1	no	—
86	#88075	—	2	4	no	—
87	#88065	—	2	4	no	—
88	#88065	—	4	2	no	—
89	#88058	—	2	1	no	—
90	#88057	—	2	1	no	—
91	#88055	C₂×C₄	1	2	yes	—
92	#88055	D₄	1	2	yes	—
93	C₈×Dic₁₃	C₂×C₄	1	2	yes	—
94	C₈×Dic₁₃	D₄	1	2	yes	—
95	#88046	—	4	2	no	—
96	#22285	—	13	1	no	maximal, Sylow
97	C₂×Q₈×C₁₃	—	2	2	no	—
98	C₂×Q₈×C₁₃	—	2	2	no	—
99	C₂×Q₈×C₁₃	—	2	2	no	—
100	C₂×Q₈×C₁₃	—	2	2	no	—
101	C₂×Q₈×C₁₃	—	2	2	no	—
102	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
103	C₂²×C₄×C₁₃	—	2	2	no	—
104	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
105	C₂×C₂²⋊D₁₃	—	2	2	no	—
106	#6127	—	2	2	no	—
107	#6127	—	2	2	no	—
108	#6127	—	2	2	no	—
109	#6127	—	2	2	no	—
110	C₂×D₅₂	C₂²×C₄	1	2	yes	—
111	C₂×C₄×D₁₃	—	2	2	no	—
112	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
113	C₁₃×Q₁₆	—	2	2	no	—
114	C₁₃×Q₁₆	—	2	2	no	—
115	C₁₃×Q₁₆	—	2	2	no	—
116	C₁₃×Q₁₆	—	2	2	no	—
117	C₁₃×M₁₆	—	2	2	no	—
118	C₁₃×M₁₆	—	2	1	no	—
119	C₁₃×M₁₆	—	2	1	no	—
120	C₁₃×M₁₆	—	2	2	no	—
121	C₂×C₈×C₁₃	—	2	1	no	—
122	C₂×C₈×C₁₃	—	2	2	no	—
123	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
124	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
125	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
128	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
129	C₁₃×C₄⋊C₄	—	2	1	no	—
130	C₁₃×C₂²⋊C₄	—	2	1	no	—
131	C₄²×C₁₃	—	2	1	no	—
132	C₂²⋊Dic₁₃	—	2	1	no	—
133	C₂²⋊Dic₁₃	—	2	1	no	—
134	C₂²⋊Dic₁₃	—	2	2	no	—
135	#6107	—	4	4	no	—
136	#6106	—	4	4	no	—
137	#6103	—	4	4	no	—
138	C₄⋊Dic₁₃	—	2	1	no	—
139	C₄⋊Dic₁₃	—	2	1	no	—
140	C₄⋊Dic₁₃	—	2	2	no	—
141	C₄⋊Dic₁₃	—	4	4	no	—
142	#6101	—	4	4	no	—
143	C₄×Dic₁₃	—	2	2	no	—
144	C₄×Dic₁₃	—	4	4	no	—
145	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
146	C₄×Dic₁₃	C₂×D₄	1	2	yes	—
147	#6099	—	2	1	no	—
148	#6099	—	2	1	no	—
149	#6099	—	2	1	no	—
150	#6099	—	2	1	no	—
151	C₂×#1055	C₂²×C₄	1	2	yes	—
152	C₂×#1055	C₂×D₄	1	2	yes	—
153	Dic₅₂	—	2	1	no	—
154	Dic₅₂	—	2	1	no	—
155	D₁₀₄	—	2	1	no	—
156	D₁₀₄	—	2	1	no	—
157	#6095	—	2	2	no	—
158	#6095	—	2	2	no	—
159	#6094	—	4	4	no	—
160	C₈×D₁₃	—	4	4	no	—
161	#3156	—	13	1	no	—
162	#2957	—	13	1	no	—
163	#2950	—	13	1	no	—
164	#1979	D₁₃	1	1	yes	characteristic, complemented
165	#1976	—	13	1	no	—
166	#1912	—	13	2	no	—
167	#1909	—	13	2	no	—
168	#1905	—	13	2	no	—
169	#1902	—	13	2	no	—
170	#1833	—	13	1	no	—
171	#1747	—	13	1	no	—
172	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
173	C₂²×D₁₃	—	2	2	no	—
174	Q₈×C₁₃	—	2	4	no	—
175	Q₈×C₁₃	—	2	4	no	—
176	Q₈×C₁₃	—	4	2	no	—
177	Q₈×C₁₃	—	4	2	no	—
178	C₂×C₄×C₁₃	—	2	4	no	—
179	C₂×C₄×C₁₃	—	4	2	no	—
180	C₂×C₄×C₁₃	—	4	2	no	—
181	C₂×C₄×C₁₃	—	4	1	no	—
182	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
183	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
184	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
185	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
186	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
187	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
188	C₂²⋊D₁₃	—	4	2	no	—
189	C₂²⋊D₁₃	—	4	2	no	—
190	C₂×Dic₁₃	—	2	2	no	—
191	C₂×Dic₁₃	—	2	2	no	—
192	C₂×Dic₁₃	—	2	2	no	—
193	C₂×Dic₁₃	—	4	2	no	—
194	D₅₂	—	2	2	no	—
195	D₅₂	—	2	2	no	—
196	C₄×D₁₃	—	4	2	no	—
197	C₄×D₁₃	—	4	2	no	—
198	Dic₂₆	—	2	2	no	—
199	Dic₂₆	—	2	2	no	—
200	C₈×C₁₃	—	4	2	no	—
201	C₈×C₁₃	—	4	1	no	—
202	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
203	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
204	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
205	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
206	#1055	—	2	2	no	—
207	#1055	—	2	2	no	—
208	C₂×#137	—	13	2	no	—
209	C₂×#135	—	13	1	no	—
210	C₂²×Q₁₆	C₂×D₁₃	1	1	yes	characteristic
211	#568	—	13	2	no	—
212	#536	—	13	2	no	—
213	#519	—	13	2	no	—
214	#497	—	13	4	no	—
215	#495	—	13	2	no	—
216	#494	—	13	2	no	—
217	#444	—	26	2	no	—
218	#443	—	26	2	no	—
219	#441	—	26	2	no	—
220	C₄×Q₁₆	—	26	2	no	—
221	C₂×#108	C₂×D₁₃	1	1	yes	characteristic
222	#427	—	13	1	no	—
223	#421	—	13	2	no	—
224	#421	—	13	2	no	—
225	#419	—	13	2	no	—
226	#419	C₂×D₁₃	1	2	yes	—
227	C₂×#101	C₂×D₁₃	1	2	yes	—
228	#410	—	13	2	no	—
229	#405	—	13	1	no	—
230	#405	—	13	1	no	—
231	#405	C₂×D₁₃	1	1	yes	characteristic
232	#344	—	13	2	no	—
233	#338	—	13	1	no	—
234	H(3,ℤ/4)	—	13	2	no	—
235	H(3,ℤ/4)	—	13	1	no	—
236	H(3,ℤ/4)	—	13	1	no	—
237	H(3,ℤ/4)	—	13	1	no	—
238	C₂²×C₁₃	—	4	1	no	—
239	C₂²×C₁₃	#518	1	1	yes	characteristic
240	C₂²×C₁₃	#535	1	1	yes	characteristic
241	C₂²×C₁₃	#540	1	1	yes	characteristic
242	C₂×D₁₃	—	4	2	no	—
243	C₂×D₁₃	—	8	2	no	—
244	C₄×C₁₃	—	4	4	no	—
245	C₄×C₁₃	—	8	1	no	—
246	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
247	C₄×C₁₃	#518	1	1	yes	characteristic
248	C₄×C₁₃	#535	1	1	yes	characteristic
249	C₄×C₁₃	#540	1	1	yes	characteristic
250	Dic₁₃	—	4	2	no	—
251	Dic₁₃	—	4	2	no	—
252	Dic₁₃	—	4	2	no	—
253	Dic₁₃	—	8	2	no	—
254	C₂×#41	—	13	2	no	—
255	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
256	#137	—	52	2	no	—
257	#137	—	52	2	no	—
258	#135	—	26	1	no	—
259	#135	—	26	1	no	—
260	#135	—	26	1	no	—
261	#135	—	26	1	no	—
262	C₂×Q₁₆	—	2	1	no	—
263	C₂×Q₁₆	—	2	1	no	—
264	C₂×Q₁₆	—	2	1	no	—
265	C₂×Q₁₆	—	2	1	no	—
266	C₂×Q₁₆	—	13	4	no	—
267	C₂×Q₁₆	—	13	1	no	—
268	C₂×Q₁₆	C₄×D₁₃	1	2	yes	—
269	C₂×Q₁₆	C₄×D₁₃	1	2	yes	—
270	C₂×SD₁₆	—	13	4	no	—
271	C₂×SD₁₆	—	13	2	no	—
272	C₂×D₈	—	13	1	no	—
273	#131	—	26	4	no	—
274	#131	—	52	2	no	—
275	C₂×M₁₆	—	13	1	no	—
276	C₂×M₁₆	—	13	1	no	—
277	C₂×M₁₆	—	52	2	no	—
278	C₂×M₁₆	C₂²×D₁₃	1	2	yes	—
279	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
280	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
281	C₄⋊Q₈	—	13	4	no	—
282	#124	—	13	4	no	—
283	#123	—	52	2	no	—
284	C₂²⋊Q₈	—	52	2	no	—
285	C₄×Q₈	—	26	4	no	—
286	C₄×Q₈	—	52	2	no	—
287	#117	—	13	1	no	—
288	#117	—	13	1	no	—
289	#117	—	13	2	no	—
290	#117	—	52	2	no	—
291	#117	C₂²×D₁₃	1	1	yes	characteristic
292	#108	—	2	1	no	—
293	#108	—	2	1	no	—
294	#107	—	26	1	no	—
295	#106	—	26	1	no	—
296	#104	—	26	4	no	—
297	#104	—	52	2	no	—
298	#103	—	4	2	no	—
299	#103	—	26	4	no	—
300	#101	—	4	2	no	—
301	#99	—	52	2	no	—
302	#97	—	2	1	no	—
303	#97	—	13	2	no	—
304	#97	—	13	2	no	—
305	C₄×C₈	—	2	1	no	—
306	C₄×C₈	—	13	2	no	—
307	C₄×C₈	—	13	2	no	—
308	C₂×C₁₃	—	2	1	no	—
309	C₂×C₁₃	—	2	1	no	—
310	C₂×C₁₃	—	2	1	no	—
311	C₂×C₁₃	#2328	1	1	yes	characteristic
312	D₁₃	—	8	2	no	—
313	#41	—	26	2	no	—
314	#41	—	26	2	no	—
315	#41	—	26	2	no	—
316	#41	—	26	2	no	—
317	C₂×Q₈	—	2	2	no	—
318	C₂×Q₈	—	2	2	no	—
319	C₂×Q₈	—	2	2	no	—
320	C₂×Q₈	—	2	2	no	—
321	C₂×Q₈	—	2	2	no	—
322	C₂×Q₈	—	13	2	no	—
323	C₂×Q₈	C₂×C₄×D₁₃	1	4	yes	—
324	C₂×D₄	—	13	2	no	—
325	C₂×D₄	—	26	2	no	—
326	C₂²×C₄	—	2	2	no	—
327	C₂²×C₄	—	26	2	no	—
328	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
329	Q₁₆	—	2	2	no	—
330	Q₁₆	—	2	2	no	—
331	Q₁₆	—	2	2	no	—
332	Q₁₆	—	2	2	no	—
333	Q₁₆	—	26	1	no	—
334	Q₁₆	—	26	1	no	—
335	Q₁₆	—	52	4	no	—
336	SD₁₆	—	26	2	no	—
337	SD₁₆	—	26	2	no	—
338	SD₁₆	—	52	4	no	—
339	D₈	—	26	1	no	—
340	D₈	—	26	1	no	—
341	M₁₆	—	2	2	no	—
342	M₁₆	—	2	1	no	—
343	M₁₆	—	2	2	no	—
344	M₁₆	—	2	1	no	—
345	M₁₆	—	26	1	no	—
346	M₁₆	—	26	1	no	—
347	M₁₆	—	26	1	no	—
348	M₁₆	—	26	1	no	—
349	M₁₆	—	52	4	no	—
350	C₂×C₈	—	2	1	no	—
351	C₂×C₈	—	2	2	no	—
352	C₂×C₈	—	13	2	no	—
353	C₂×C₈	—	13	2	no	—
354	C₂×C₈	—	52	4	no	—
355	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
356	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
357	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
358	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
359	C₂×C₈	#6129	1	1	yes	characteristic
360	C₂×C₈	#6129	1	1	yes	characteristic
361	C₄⋊C₄	—	2	1	no	—
362	C₄⋊C₄	—	26	1	no	—
363	C₄⋊C₄	—	26	1	no	—
364	C₄⋊C₄	—	26	2	no	—
365	C₄⋊C₄	—	52	4	no	—
366	C₄⋊C₄	—	52	4	no	—
367	C₂²⋊C₄	—	2	1	no	—
368	C₂²⋊C₄	—	26	1	no	—
369	C₂²⋊C₄	—	26	1	no	—
370	C₂²⋊C₄	—	26	2	no	—
371	C₂²⋊C₄	—	52	4	no	—
372	C₄²	—	2	1	no	—
373	C₄²	—	13	2	no	—
374	C₄²	—	13	2	no	—
375	C₄²	—	26	2	no	—
376	C₄²	—	52	4	no	—
377	C₁₃	#22285	1	1	yes	characteristic, complemented, Sylow
378	C₂³	—	26	2	no	—
379	C₂³	#88256	1	1	yes	characteristic
380	Q₈	—	2	4	no	—
381	Q₈	—	2	4	no	—
382	Q₈	—	4	2	no	—
383	Q₈	—	4	2	no	—
384	Q₈	—	26	2	no	—
385	Q₈	—	26	2	no	—
386	D₄	—	26	2	no	—
387	D₄	—	26	2	no	—
388	D₄	—	52	2	no	—
389	D₄	—	52	2	no	—
390	C₂×C₄	—	2	4	no	—
391	C₂×C₄	—	4	2	no	—
392	C₂×C₄	—	4	2	no	—
393	C₂×C₄	—	4	1	no	—
394	C₂×C₄	—	26	2	no	—
395	C₂×C₄	—	26	2	no	—
396	C₂×C₄	—	26	2	no	—
397	C₂×C₄	—	52	2	no	—
398	C₂×C₄	—	52	2	no	—
399	C₂×C₄	—	52	2	no	—
400	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
401	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
402	C₂×C₄	C₂×#6129	1	1	yes	characteristic
403	C₂×C₄	#88251	1	1	yes	characteristic
404	C₂×C₄	#88251	1	1	yes	characteristic
405	C₂×C₄	#88256	1	1	yes	characteristic
406	C₈	—	4	1	no	—
407	C₈	—	4	2	no	—
408	C₈	—	26	2	no	—
409	C₈	—	26	2	no	—
410	C₈	#88135	1	1	yes	characteristic
411	C₈	#88135	1	1	yes	characteristic
412	C₈	#88135	1	1	yes	characteristic
413	C₈	#88135	1	1	yes	characteristic
414	C₂²	—	4	1	no	—
415	C₂²	—	52	2	no	—
416	C₂²	—	104	2	no	—
417	C₂²	#11719250	1	1	yes	characteristic
418	C₂²	#11719324	1	1	yes	characteristic
419	C₂²	#11719379	1	1	yes	characteristic
420	C₄	—	4	4	no	—
421	C₄	—	8	1	no	—
422	C₄	—	52	2	no	—
423	C₄	—	52	2	no	—
424	C₄	—	52	2	no	—
425	C₄	—	104	2	no	—
426	C₄	C₂×#88135	1	1	yes	characteristic
427	C₄	#11719250	1	1	yes	characteristic
428	C₄	#11719324	1	1	yes	characteristic
429	C₄	#11719420	1	1	yes	characteristic
430	C₂	—	2	1	no	—
431	C₂	—	2	1	no	—
432	C₂	—	2	1	no	—
433	C₂	—	104	2	no	—
434	C₂	#13117560	1	1	yes	characteristic

	subgroup	G/H
center	C₂	#13117560
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₁₃
Fitting	C₁₃×#1979	C₂
socle	C₂×C₁₃	#2328
prime radical	C₂×#88158	C₂²
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	#1979	D₁₃
hypocenter	C₁₃	#22285
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ #1979

Complements

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

N	H ≅ G/N	type
3. #13123704	C₂	semidirect
5. #13115371	C₂	semidirect
6. #13115355	C₂	semidirect
7. #13115328	C₂	semidirect
8. #13115312	C₂	semidirect
9. #13114961	C₂	semidirect
10. #13114591	C₂	semidirect
11. C₁₃×#1979	C₂	semidirect
23. #11718852	C₄	semidirect
24. #11718851	C₄	semidirect
27. #11718842	C₄	semidirect
164. #1979	D₁₃	semidirect
377. C₁₃	#22285	semidirect

Maximal subgroups

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

subgroup	index
#13125325	2
#13123752	2
#13123704	2
#13115734	2
#13115371	2
#13115355	2
#13115328	2
#13115312	2
#13114961	2
#13114591	2
C₁₃×#1979	2
#22285	13