Subgroups — #15876839

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	#13125330	C₂	1	1	yes	maximal, characteristic
2	#13123754	C₂	1	1	yes	maximal, characteristic
3	#13123705	C₂	1	1	yes	maximal, characteristic, complemented
4	#13115751	C₂	1	1	yes	maximal, characteristic, complemented
5	#13115734	C₂	1	1	yes	maximal, characteristic
6	#13115372	C₂	1	2	yes	maximal, complemented
7	#13115357	C₂	1	2	yes	maximal, complemented
8	#13115331	C₂	1	2	yes	maximal, complemented
9	#13115310	C₂	1	2	yes	maximal, complemented
10	#13114960	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1747	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#88163	C₂²	1	2	yes	—
13	#11719450	C₂²	1	2	yes	—
14	C₂²×Dic₅₂	C₂²	1	1	yes	characteristic
15	C₂×#88158	C₂²	1	1	yes	characteristic
16	#11719231	C₂²	1	2	yes	—
17	#11719221	C₂²	1	2	yes	—
18	C₁₃×#405	C₂²	1	1	yes	characteristic
19	C₁₃×#405	C₂²	1	1	yes	characteristic
20	C₁₃×#405	C₂²	1	1	yes	characteristic
21	#11718800	C₂²	1	2	yes	—
22	C₂×#88064	C₂²	1	2	yes	—
23	#11718781	C₂²	1	2	yes	—
24	C₂×#88059	C₂²	1	1	yes	characteristic
25	#11718767	C₂²	1	1	yes	characteristic
26	#11718667	C₂²	1	2	yes	—
27	#11718666	C₂²	1	2	yes	—
28	#11718665	C₂²	1	2	yes	—
29	#11718378	—	2	2	no	—
30	#11718377	—	2	2	no	—
31	#11718376	C₄	1	4	yes	complemented
32	#11718361	—	2	2	no	—
33	#11718360	C₄	1	2	yes	complemented
34	C₄×Dic₅₂	—	2	2	no	—
35	#11718357	C₄	1	2	yes	complemented
36	C₁₃×#338	C₂²	1	1	yes	characteristic
37	C₁₃×H(3,ℤ/4)	C₂²	1	1	yes	characteristic
38	C₁₃×H(3,ℤ/4)	C₂²	1	1	yes	characteristic
39	C₁₃×H(3,ℤ/4)	C₂²	1	1	yes	characteristic
40	#11718148	C₂²	1	2	yes	—
41	#11718123	C₂²	1	2	yes	—
42	C₂×#6127	C₂³	1	2	yes	—
43	C₂²×Dic₂₆	C₂³	1	2	yes	—
44	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
45	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
46	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
48	C₁₃×#117	C₂³	1	1	yes	characteristic
49	C₁₃×#117	C₂³	1	1	yes	characteristic
50	C₁₃×#117	C₂³	1	1	yes	characteristic
51	#88180	C₂³	1	2	yes	—
52	C₂×#6099	C₂³	1	2	yes	—
53	#88163	—	4	2	no	—
54	#88163	—	4	2	no	—
55	#88161	—	4	2	no	—
56	M₁₆×D₁₃	—	4	2	no	—
57	C₂×Dic₅₂	—	2	1	no	—
58	C₂×Dic₅₂	—	2	1	no	—
59	C₂×Dic₅₂	—	2	1	no	—
60	C₂×Dic₅₂	—	2	1	no	—
61	C₂×Dic₅₂	C₂×C₄	1	1	yes	characteristic
62	C₂×Dic₅₂	C₂×C₄	1	2	yes	—
63	C₂×Dic₅₂	C₂×C₄	1	2	yes	—
64	C₂×Dic₅₂	C₂×C₄	1	4	yes	—
65	#88158	—	2	1	no	—
66	#88158	—	2	1	no	—
67	#88158	—	2	1	no	—
68	#88158	—	2	1	no	—
69	C₂×D₁₀₄	C₂×C₄	1	1	yes	characteristic
70	C₂×#6095	C₂×C₄	1	2	yes	—
71	C₂×#6095	C₂×C₄	1	4	yes	—
72	#88155	—	2	4	no	—
73	#88151	—	4	2	no	—
74	#88141	—	4	2	no	—
75	#88140	—	4	2	no	—
76	#88131	—	4	2	no	—
77	#88129	C₂×C₄	1	4	yes	—
78	#88123	C₂×C₄	1	4	yes	—
79	C₄×Dic₂₆	—	2	4	no	—
80	C₁₃×#97	—	2	1	no	—
81	C₁₃×#97	C₂×C₄	1	2	yes	—
82	C₁₃×#97	D₄	1	2	yes	—
83	C₄×C₈×C₁₃	—	2	1	no	—
84	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	—
85	C₄×C₈×C₁₃	D₄	1	2	yes	—
86	#88065	—	4	2	no	—
87	#88064	—	4	2	no	—
88	#88059	—	2	1	no	—
89	#88059	—	2	1	no	—
90	#88058	—	2	1	no	—
91	#88057	—	2	1	no	—
92	#88056	—	2	4	no	—
93	#88050	—	4	2	no	—
94	#88046	—	4	2	no	—
95	#88045	—	2	4	no	—
96	#22285	—	13	1	no	maximal, Sylow
97	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
98	C₂×C₂²⋊D₁₃	—	2	2	no	—
99	C₂²×Dic₁₃	—	2	2	no	—
100	#6127	—	2	2	no	—
101	#6127	—	2	2	no	—
102	#6127	—	2	2	no	—
103	#6127	—	2	2	no	—
104	C₂×D₅₂	C₂²×C₄	1	2	yes	—
105	C₂×C₄×D₁₃	—	2	2	no	—
106	C₂×Dic₂₆	—	2	2	no	—
107	C₂×Dic₂₆	—	2	2	no	—
108	C₂×Dic₂₆	—	2	2	no	—
109	C₂×Dic₂₆	—	2	2	no	—
110	C₂×Dic₂₆	—	2	2	no	—
111	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
112	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
113	C₁₃×M₁₆	—	2	1	no	—
114	C₁₃×M₁₆	—	2	1	no	—
115	C₁₃×M₁₆	—	2	1	no	—
116	C₁₃×M₁₆	—	2	1	no	—
117	C₁₃×M₁₆	—	2	1	no	—
118	C₁₃×M₁₆	—	2	1	no	—
119	C₂×C₈×C₁₃	—	2	1	no	—
120	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
121	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
122	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
123	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
124	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
127	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
128	C₁₃×C₄⋊C₄	—	2	1	no	—
129	C₁₃×C₄⋊C₄	—	2	1	no	—
130	C₁₃×C₄⋊C₄	—	2	1	no	—
131	C₁₃×C₂²⋊C₄	—	2	1	no	—
132	C₁₃×C₂²⋊C₄	—	2	1	no	—
133	C₁₃×C₂²⋊C₄	—	2	1	no	—
134	C₄²×C₁₃	—	2	1	no	—
135	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
136	C₄²×C₁₃	C₂×D₄	1	2	yes	—
137	C₂²⋊Dic₁₃	—	2	2	no	—
138	#6103	—	4	4	no	—
139	C₄⋊Dic₁₃	—	2	2	no	—
140	C₄⋊Dic₁₃	—	4	4	no	—
141	#6101	—	4	4	no	—
142	C₄×Dic₁₃	—	2	2	no	—
143	C₄×Dic₁₃	—	4	4	no	—
144	#6099	—	2	2	no	—
145	#6099	—	2	2	no	—
146	C₂×#1055	—	2	2	no	—
147	Dic₅₂	—	2	1	no	—
148	Dic₅₂	—	2	1	no	—
149	Dic₅₂	—	2	2	no	—
150	Dic₅₂	—	2	2	no	—
151	Dic₅₂	—	2	2	no	—
152	Dic₅₂	—	2	2	no	—
153	Dic₅₂	—	4	4	no	—
154	D₁₀₄	—	2	1	no	—
155	D₁₀₄	—	2	1	no	—
156	#6095	—	2	2	no	—
157	#6095	—	2	2	no	—
158	#6095	—	4	4	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	—	13	1	no	—
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	D₁₃	1	1	yes	characteristic, complemented
172	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
173	C₂²×D₁₃	—	2	2	no	—
174	C₂×C₄×C₁₃	—	2	2	no	—
175	C₂×C₄×C₁₃	—	2	2	no	—
176	C₂×C₄×C₁₃	—	4	1	no	—
177	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
178	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
179	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
180	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
181	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
182	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
183	C₂²⋊D₁₃	—	4	2	no	—
184	C₂²⋊D₁₃	—	4	2	no	—
185	C₂×Dic₁₃	—	2	2	no	—
186	C₂×Dic₁₃	—	2	4	no	—
187	C₂×Dic₁₃	—	4	2	no	—
188	C₂×Dic₁₃	—	4	2	no	—
189	C₂×Dic₁₃	—	4	2	no	—
190	D₅₂	—	2	2	no	—
191	D₅₂	—	2	2	no	—
192	C₄×D₁₃	—	4	2	no	—
193	C₄×D₁₃	—	4	2	no	—
194	Dic₂₆	—	2	2	no	—
195	Dic₂₆	—	2	4	no	—
196	Dic₂₆	—	2	4	no	—
197	Dic₂₆	—	2	2	no	—
198	Dic₂₆	—	4	2	no	—
199	Dic₂₆	—	4	2	no	—
200	C₈×C₁₃	—	2	2	no	—
201	C₈×C₁₃	—	2	2	no	—
202	C₈×C₁₃	—	4	1	no	—
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	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
207	#1055	—	4	2	no	—
208	C₂×#137	—	13	2	no	—
209	C₂×#135	—	13	1	no	—
210	C₂²×Q₁₆	—	13	1	no	—
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	—	13	1	no	—
222	#427	—	13	1	no	—
223	#421	—	13	2	no	—
224	#421	—	13	2	no	—
225	#419	—	13	2	no	—
226	#419	—	13	2	no	—
227	C₂×#101	—	13	2	no	—
228	#410	—	13	2	no	—
229	#405	C₂×D₁₃	1	1	yes	characteristic
230	#405	C₂×D₁₃	1	1	yes	characteristic
231	#405	C₂×D₁₃	1	1	yes	characteristic
232	#344	—	13	2	no	—
233	#338	C₂×D₁₃	1	1	yes	characteristic
234	H(3,ℤ/4)	—	13	2	no	—
235	H(3,ℤ/4)	C₂×D₁₃	1	1	yes	characteristic
236	H(3,ℤ/4)	C₂×D₁₃	1	1	yes	characteristic
237	H(3,ℤ/4)	C₂×D₁₃	1	1	yes	characteristic
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	2	no	—
245	C₄×C₁₃	—	4	2	no	—
246	C₄×C₁₃	—	8	1	no	—
247	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
248	C₄×C₁₃	#518	1	1	yes	characteristic
249	C₄×C₁₃	#535	1	1	yes	characteristic
250	C₄×C₁₃	#540	1	1	yes	characteristic
251	Dic₁₃	—	4	4	no	—
252	Dic₁₃	—	4	2	no	—
253	Dic₁₃	—	8	2	no	—
254	C₂×#41	—	13	2	no	—
255	C₂²×Q₈	—	13	2	no	—
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	—	13	2	no	—
263	C₂×Q₁₆	—	13	2	no	—
264	C₂×Q₁₆	—	13	1	no	—
265	C₂×Q₁₆	—	13	4	no	—
266	C₂×Q₁₆	—	26	1	no	—
267	C₂×Q₁₆	—	26	1	no	—
268	C₂×Q₁₆	—	26	1	no	—
269	C₂×Q₁₆	—	26	1	no	—
270	C₂×SD₁₆	—	13	2	no	—
271	C₂×SD₁₆	—	13	4	no	—
272	C₂×D₈	—	13	1	no	—
273	#131	—	26	4	no	—
274	#131	—	52	2	no	—
275	C₂×M₁₆	—	13	2	no	—
276	C₂×M₁₆	—	52	2	no	—
277	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
278	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
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	2	no	—
288	#117	—	52	2	no	—
289	#117	C₂²×D₁₃	1	1	yes	characteristic
290	#117	C₂²×D₁₃	1	1	yes	characteristic
291	#117	C₂²×D₁₃	1	1	yes	characteristic
292	#108	—	26	1	no	—
293	#108	—	26	1	no	—
294	#107	—	26	1	no	—
295	#106	—	26	1	no	—
296	#104	—	26	4	no	—
297	#104	—	52	2	no	—
298	#103	—	26	4	no	—
299	#103	—	52	2	no	—
300	#101	—	52	2	no	—
301	#99	—	52	2	no	—
302	#97	—	2	1	no	—
303	#97	C₄×D₁₃	1	2	yes	—
304	#97	D₅₂	1	2	yes	—
305	C₄×C₈	—	2	1	no	—
306	C₄×C₈	C₄×D₁₃	1	2	yes	—
307	C₄×C₈	D₅₂	1	2	yes	—
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	—	13	4	no	—
318	C₂×Q₈	—	13	2	no	—
319	C₂×Q₈	—	26	2	no	—
320	C₂×Q₈	—	26	2	no	—
321	C₂×Q₈	—	26	2	no	—
322	C₂×Q₈	—	26	2	no	—
323	C₂×Q₈	—	26	2	no	—
324	C₂×D₄	—	13	2	no	—
325	C₂×D₄	—	26	2	no	—
326	C₂²×C₄	—	26	2	no	—
327	C₂²×C₄	—	26	2	no	—
328	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
329	Q₁₆	—	26	2	no	—
330	Q₁₆	—	26	2	no	—
331	Q₁₆	—	26	2	no	—
332	Q₁₆	—	26	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	1	no	—
342	M₁₆	—	2	1	no	—
343	M₁₆	—	2	1	no	—
344	M₁₆	—	2	1	no	—
345	M₁₆	—	2	1	no	—
346	M₁₆	—	2	1	no	—
347	M₁₆	—	26	2	no	—
348	M₁₆	—	26	2	no	—
349	M₁₆	—	52	4	no	—
350	C₂×C₈	—	2	1	no	—
351	C₂×C₈	—	26	2	no	—
352	C₂×C₈	—	52	4	no	—
353	C₂×C₈	C₂×C₄×D₁₃	1	2	yes	—
354	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
355	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
356	C₂×C₈	C₂×D₅₂	1	2	yes	—
357	C₂×C₈	C₂×D₅₂	1	1	yes	characteristic
358	C₂×C₈	C₂×D₅₂	1	1	yes	characteristic
359	C₂×C₈	#6127	1	1	yes	characteristic
360	C₂×C₈	#6127	1	1	yes	characteristic
361	C₄⋊C₄	—	2	1	no	—
362	C₄⋊C₄	—	2	1	no	—
363	C₄⋊C₄	—	2	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	—	2	1	no	—
369	C₂²⋊C₄	—	2	1	no	—
370	C₂²⋊C₄	—	26	2	no	—
371	C₂²⋊C₄	—	52	4	no	—
372	C₄²	—	2	1	no	—
373	C₄²	—	26	2	no	—
374	C₄²	—	52	4	no	—
375	C₄²	C₂×C₄×D₁₃	1	2	yes	—
376	C₄²	C₂×D₅₂	1	2	yes	—
377	C₁₃	#22285	1	1	yes	characteristic, complemented, Sylow
378	C₂³	—	26	2	no	—
379	C₂³	#88256	1	1	yes	characteristic
380	Q₈	—	26	2	no	—
381	Q₈	—	26	4	no	—
382	Q₈	—	26	4	no	—
383	Q₈	—	26	2	no	—
384	Q₈	—	52	2	no	—
385	Q₈	—	52	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	2	no	—
391	C₂×C₄	—	2	2	no	—
392	C₂×C₄	—	4	1	no	—
393	C₂×C₄	—	26	4	no	—
394	C₂×C₄	—	26	2	no	—
395	C₂×C₄	—	52	2	no	—
396	C₂×C₄	—	52	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	C₂²×D₅₂	1	1	yes	characteristic
402	C₂×C₄	C₂×#6127	1	1	yes	characteristic
403	C₂×C₄	#88256	1	1	yes	characteristic
404	C₂×C₄	#88256	1	1	yes	characteristic
405	C₂×C₄	#88256	1	1	yes	characteristic
406	C₈	—	2	2	no	—
407	C₈	—	2	2	no	—
408	C₈	—	4	1	no	—
409	C₈	—	52	2	no	—
410	C₈	C₄×D₅₂	1	1	yes	characteristic
411	C₈	C₄×D₅₂	1	1	yes	characteristic
412	C₈	C₄×D₅₂	1	1	yes	characteristic
413	C₈	C₄×D₅₂	1	1	yes	characteristic
414	C₂²	—	4	1	no	—
415	C₂²	—	52	2	no	—
416	C₂²	—	104	2	no	—
417	C₂²	#11719226	1	1	yes	characteristic
418	C₂²	#11719230	1	1	yes	characteristic
419	C₂²	#11719240	1	1	yes	characteristic
420	C₄	—	4	2	no	—
421	C₄	—	4	2	no	—
422	C₄	—	8	1	no	—
423	C₄	—	52	2	no	—
424	C₄	—	52	4	no	—
425	C₄	—	104	2	no	—
426	C₄	C₂×C₄×D₅₂	1	1	yes	characteristic
427	C₄	#11719226	1	1	yes	characteristic
428	C₄	#11719230	1	1	yes	characteristic
429	C₄	#11719240	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	#13117561	1	1	yes	characteristic

	subgroup	G/H
center	C₂	#13117561
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₁₃
Fitting	C₁₃×#1747	C₂
socle	C₂×C₁₃	#2328
prime radical	C₂×#88158	C₂²
cosocle	C₂²×C₄×C₁₃	C₂⁴
hypercenter	#1747	D₁₃
hypocenter	C₁₃	#22285
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ #1747

Complements

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

N	H ≅ G/N	type
3. #13123705	C₂	semidirect
4. #13115751	C₂	semidirect
6. #13115372	C₂	semidirect
7. #13115357	C₂	semidirect
8. #13115331	C₂	semidirect
9. #13115310	C₂	semidirect
10. #13114960	C₂	semidirect
11. C₁₃×#1747	C₂	semidirect
31. #11718376	C₄	semidirect
33. #11718360	C₄	semidirect
35. #11718357	C₄	semidirect
171. #1747	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
#13125330	2
#13123754	2
#13123705	2
#13115751	2
#13115734	2
#13115372	2
#13115357	2
#13115331	2
#13115310	2
#13114960	2
C₁₃×#1747	2
#22285	13