Subgroups — #15834729

Order 3328.

646 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13125396	C₂	1	1	yes	maximal, characteristic
2	#13123785	C₂	1	1	yes	maximal, characteristic, complemented
3	#13123579	C₂	1	1	yes	maximal, characteristic
4	#13113741	C₂	1	2	yes	maximal, complemented
5	#13113711	C₂	1	2	yes	maximal, complemented
6	#13113696	C₂	1	2	yes	maximal, complemented
7	#13113651	C₂	1	2	yes	maximal, complemented
8	C₂×#11718071	C₂	1	1	yes	maximal, characteristic, complemented
9	#13113236	C₂	1	1	yes	maximal, characteristic
10	#13113126	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1481	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#533	C₂²	1	1	yes	characteristic
13	C₂×#88155	—	2	1	no	—
14	#11719182	C₂²	1	1	yes	characteristic
15	C₁₃×#431	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	#11718771	—	2	1	no	—
18	#11718749	C₄	1	1	yes	characteristic
19	#11718746	C₄	1	1	yes	characteristic
20	#11718742	C₄	1	1	yes	characteristic
21	#11718740	C₄	1	1	yes	characteristic
22	#11718709	C₄	1	2	yes	—
23	#11718709	C₄	1	2	yes	—
24	C₄×#6106	C₂²	1	2	yes	—
25	C₄×#6106	C₂²	1	2	yes	—
26	#11718685	—	2	2	no	—
27	#11718685	C₂²	1	2	yes	—
28	Q₈×#1055	C₂²	1	2	yes	—
29	#11718660	—	2	1	no	—
30	#11718658	—	2	1	no	—
31	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
32	C₄×#6099	C₂²	1	1	yes	characteristic
33	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
34	#11718499	C₂²	1	2	yes	—
35	#11718497	—	2	2	no	—
36	#11718495	C₂²	1	2	yes	—
37	C₁₃×Q₈⋊C₈	C₂²	1	2	yes	—
38	C₁₃×Q₈⋊C₈	C₂²	1	2	yes	—
39	#11718071	C₂²	1	1	yes	characteristic
40	#11718071	C₂²	1	1	yes	characteristic
41	#11718071	C₂²	1	1	yes	characteristic
42	#11718071	C₂²	1	1	yes	characteristic
43	#11718051	C₂²	1	2	yes	—
44	#11718051	C₂²	1	2	yes	—
45	#11718047	C₂²	1	2	yes	—
46	#11718046	C₂²	1	2	yes	—
47	C₂×#6127	—	2	1	no	—
48	C₂²×C₈×C₁₃	—	2	1	no	—
49	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
50	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
51	C₁₃×#125	—	2	1	no	—
52	C₁₃×C₂²⋊Q₈	—	2	1	no	—
53	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
54	C₄×Q₈×C₁₃	—	2	1	no	—
55	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
56	C₁₃×#117	—	2	1	no	—
57	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
58	C₂×#6106	C₂×C₄	1	2	yes	—
59	C₂×#6106	C₂×C₄	1	2	yes	—
60	#88184	—	2	1	no	—
61	#88184	C₂×C₄	1	2	yes	—
62	C₂×#6099	D₄	1	1	yes	characteristic
63	C₂×#6099	D₄	1	1	yes	characteristic
64	C₂²×#1055	—	2	1	no	—
65	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
66	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
67	#88155	—	4	4	no	—
68	C₂×#6094	—	2	2	no	—
69	C₂×C₈×D₁₃	—	2	2	no	—
70	#88129	—	2	1	no	—
71	#88128	C₂×C₄	1	1	yes	characteristic
72	C₄×D₅₂	—	2	1	no	—
73	C₄×D₅₂	C₂³	1	2	yes	—
74	#88123	C₂×C₄	1	1	yes	characteristic
75	C₁₃×C₄⋊C₈	—	2	1	no	—
76	C₁₃×C₄⋊C₈	—	2	1	no	—
77	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
78	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
79	C₁₃×C₂²⋊C₈	—	2	1	no	—
80	C₄×C₈×C₁₃	C₂³	1	2	yes	—
81	#88075	C₂×C₄	1	2	yes	—
82	#88075	C₂×C₄	1	2	yes	—
83	#88060	—	2	2	no	—
84	#88060	—	2	2	no	—
85	#88049	C₂×C₄	1	2	yes	—
86	#88049	C₂×C₄	1	2	yes	—
87	#88048	C₂×C₄	1	2	yes	—
88	#88048	C₂×C₄	1	2	yes	—
89	C₄⋊#1055	—	2	1	no	—
90	C₄⋊#1055	—	2	2	no	—
91	C₄⋊#1055	—	2	2	no	—
92	C₄⋊#1055	C₂³	1	1	yes	characteristic
93	C₄⋊#1055	C₂³	1	1	yes	characteristic
94	#88043	—	2	2	no	—
95	#88043	D₄	1	2	yes	—
96	C₄×#1055	—	2	2	no	—
97	C₄×#1055	C₂×C₄	1	1	yes	characteristic
98	C₄×#1055	C₂×C₄	1	1	yes	characteristic
99	C₄×#1055	C₂³	1	1	yes	characteristic
100	C₄×#1055	C₂³	1	1	yes	characteristic
101	C₄×#1055	C₂³	1	2	yes	—
102	#18071	—	13	1	no	maximal, Sylow
103	C₂×Q₈×C₁₃	—	2	1	no	—
104	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
105	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
106	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
107	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
108	C₂×C₂²⋊D₁₃	—	2	2	no	—
109	#6127	—	4	2	no	—
110	#6127	—	4	2	no	—
111	C₂×D₅₂	—	2	1	no	—
112	C₂×D₅₂	—	2	1	no	—
113	C₂×D₅₂	C₂²×C₄	1	2	yes	—
114	C₂×C₄×D₁₃	—	2	2	no	—
115	C₂×Dic₂₆	—	2	1	no	—
116	C₂×C₈×C₁₃	—	2	1	no	—
117	C₂×C₈×C₁₃	—	2	1	no	—
118	C₂×C₈×C₁₃	—	2	2	no	—
119	C₂×C₈×C₁₃	—	4	2	no	—
120	C₁₃×C₄⋊C₄	—	2	1	no	—
121	C₁₃×C₄⋊C₄	—	2	1	no	—
122	C₁₃×C₄⋊C₄	—	2	1	no	—
123	C₁₃×C₄⋊C₄	—	2	2	no	—
124	C₁₃×C₄⋊C₄	—	2	2	no	—
125	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
126	C₁₃×C₂²⋊C₄	—	2	2	no	—
127	C₄²×C₁₃	—	2	2	no	—
128	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
129	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₁₃	#41	1	1	yes	characteristic
131	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
132	#6106	—	2	4	no	—
133	#6106	—	4	2	no	—
134	#6103	—	2	2	no	—
135	#6103	—	2	2	no	—
136	C₄⋊Dic₁₃	—	2	1	no	—
137	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
138	#6099	—	2	2	no	—
139	#6099	—	2	2	no	—
140	C₂×#1055	—	2	2	no	—
141	C₂×#1055	—	2	1	no	—
142	C₂×#1055	—	2	1	no	—
143	C₂×#1055	—	4	1	no	—
144	C₂×#1055	—	4	2	no	—
145	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
146	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
147	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
148	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
149	C₂×#1055	C₂×D₄	1	2	yes	—
150	C₂×#1055	C₂×D₄	1	2	yes	—
151	#6094	—	4	4	no	—
152	C₈×D₁₃	—	4	4	no	—
153	#3167	—	13	1	no	—
154	#2962	—	13	1	no	—
155	#2935	—	13	1	no	—
156	#1592	—	13	2	no	—
157	#1588	—	13	2	no	—
158	#1585	—	13	2	no	—
159	SD₁₆⋊C₈	—	13	2	no	—
160	C₂×#335	—	13	1	no	—
161	#1481	D₁₃	1	1	yes	characteristic, complemented
162	#1480	—	13	1	no	—
163	#1451	—	13	1	no	—
164	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
165	C₂²×D₁₃	—	2	2	no	—
166	Q₈×C₁₃	—	2	2	no	—
167	Q₈×C₁₃	—	2	2	no	—
168	Q₈×C₁₃	—	8	1	no	—
169	C₂×C₄×C₁₃	—	2	1	no	—
170	C₂×C₄×C₁₃	—	2	1	no	—
171	C₂×C₄×C₁₃	—	2	2	no	—
172	C₂×C₄×C₁₃	—	2	2	no	—
173	C₂×C₄×C₁₃	—	4	1	no	—
174	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
175	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
176	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
177	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
178	C₂×C₄×C₁₃	#137	1	2	yes	—
179	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
180	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
181	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
182	C₂²⋊D₁₃	—	4	4	no	—
183	C₂×Dic₁₃	—	2	2	no	—
184	D₅₂	—	2	2	no	—
185	D₅₂	—	2	2	no	—
186	D₅₂	—	4	2	no	—
187	D₅₂	—	8	1	no	—
188	C₄×D₁₃	—	4	2	no	—
189	C₄×D₁₃	—	4	2	no	—
190	Dic₂₆	—	4	2	no	—
191	C₈×C₁₃	—	4	2	no	—
192	C₈×C₁₃	—	4	1	no	—
193	C₈×C₁₃	—	4	1	no	—
194	#1055	—	2	1	no	—
195	#1055	—	2	1	no	—
196	#1055	—	2	1	no	—
197	#1055	—	2	2	no	—
198	#1055	—	2	2	no	—
199	#1055	—	4	1	no	—
200	#1055	—	4	1	no	—
201	#1055	#131	1	2	yes	complemented
202	C₂×#131	—	26	1	no	—
203	#533	C₂×D₁₃	1	1	yes	characteristic
204	#532	—	13	1	no	—
205	#498	—	13	1	no	—
206	#492	—	13	1	no	—
207	#487	—	13	1	no	—
208	#486	—	13	1	no	—
209	#465	—	13	2	no	—
210	#465	—	13	2	no	—
211	#446	—	13	2	no	—
212	#446	—	26	2	no	—
213	C₈×Q₈	—	13	2	no	—
214	C₄×SD₁₆	—	13	2	no	—
215	C₄×SD₁₆	—	13	2	no	—
216	#436	—	13	2	no	—
217	#435	—	26	2	no	—
218	C₈×D₄	—	13	2	no	—
219	#431	C₂×D₁₃	1	1	yes	characteristic
220	#424	—	26	1	no	—
221	C₂×C₄⋊C₈	—	13	1	no	—
222	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
223	#408	—	26	1	no	—
224	#405	—	26	1	no	—
225	C₄×M₁₆	—	13	1	no	—
226	C₂×C₄×C₈	—	13	1	no	—
227	#335	—	13	1	no	—
228	#335	—	13	1	no	—
229	#335	—	13	1	no	—
230	#335	—	13	1	no	—
231	Q₈⋊C₈	C₂×D₁₃	1	2	yes	—
232	Q₈⋊C₈	C₂×D₁₃	1	2	yes	—
233	D₄⋊C₈	—	13	2	no	—
234	D₄⋊C₈	—	13	2	no	—
235	#322	—	13	2	no	—
236	#322	—	13	2	no	—
237	C₂²×C₁₃	—	2	1	no	—
238	C₂²×C₁₃	—	2	1	no	—
239	C₂²×C₁₃	#440	1	2	yes	—
240	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
241	C₂×D₁₃	—	4	2	no	—
242	C₂×D₁₃	—	4	2	no	—
243	C₂×D₁₃	—	4	2	no	—
244	C₄×C₁₃	—	2	1	no	—
245	C₄×C₁₃	—	2	1	no	—
246	C₄×C₁₃	—	2	1	no	—
247	C₄×C₁₃	—	4	2	no	—
248	C₄×C₁₃	—	4	2	no	—
249	C₄×C₁₃	#440	1	2	yes	—
250	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
251	C₄×C₁₃	#568	1	1	yes	characteristic
252	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
253	C₄×C₁₃	C₂×#137	1	1	yes	characteristic
254	Dic₁₃	—	4	2	no	—
255	C₂×#41	—	26	1	no	—
256	C₂×SD₁₆	—	13	2	no	—
257	C₂×SD₁₆	—	13	2	no	—
258	#131	—	52	4	no	—
259	C₂×M₁₆	—	13	1	no	—
260	C₂×M₁₆	—	13	1	no	—
261	C₂×M₁₆	—	26	2	no	—
262	C₂²×C₈	—	2	1	no	—
263	C₂²×C₈	—	13	1	no	—
264	C₂²×C₈	—	13	1	no	—
265	C₂²×C₈	—	26	2	no	—
266	C₂²×C₈	—	26	1	no	—
267	C₄⋊Q₈	—	13	1	no	—
268	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
269	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
270	#127	—	13	1	no	—
271	#125	—	2	1	no	—
272	#124	—	26	1	no	—
273	C₂²⋊Q₈	—	2	1	no	—
274	C₂²⋊Q₈	C₄×D₁₃	1	2	yes	—
275	#121	—	13	2	no	—
276	#121	—	26	1	no	—
277	C₄×Q₈	—	2	1	no	—
278	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
279	C₄×D₄	—	13	2	no	—
280	C₄×D₄	—	26	1	no	—
281	#117	—	2	1	no	—
282	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
283	#106	—	13	2	no	—
284	#106	—	13	2	no	—
285	C₄⋊C₈	—	2	1	no	—
286	C₄⋊C₈	—	2	1	no	—
287	C₄⋊C₈	—	13	1	no	—
288	C₄⋊C₈	—	13	1	no	—
289	C₄⋊C₈	—	26	2	no	—
290	C₄⋊C₈	—	26	2	no	—
291	C₄⋊C₈	—	26	1	no	—
292	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
293	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
294	#103	—	13	2	no	—
295	#103	—	13	2	no	—
296	#102	—	13	2	no	—
297	#102	—	13	2	no	—
298	C₂²⋊C₈	—	2	1	no	—
299	C₂²⋊C₈	—	26	2	no	—
300	C₂²⋊C₈	—	26	2	no	—
301	#97	—	13	2	no	—
302	#97	—	26	2	no	—
303	C₄×C₈	—	13	1	no	—
304	C₄×C₈	—	13	1	no	—
305	C₄×C₈	—	13	1	no	—
306	C₄×C₈	—	13	1	no	—
307	C₄×C₈	—	13	2	no	—
308	C₄×C₈	—	26	2	no	—
309	C₄×C₈	C₂²×D₁₃	1	2	yes	—
310	C₂×C₁₃	—	2	2	no	—
311	C₂×C₁₃	#2935	1	1	yes	characteristic
312	C₂×C₁₃	C₂×#440	1	1	yes	characteristic
313	C₂×C₁₃	#2957	1	1	yes	characteristic
314	D₁₃	—	8	2	no	—
315	#41	—	52	2	no	—
316	#41	—	52	2	no	—
317	C₂×Q₈	—	2	1	no	—
318	C₂×Q₈	—	26	1	no	—
319	C₂×Q₈	C₂×C₄×D₁₃	1	2	yes	—
320	C₂×D₄	—	13	2	no	—
321	C₂×D₄	—	26	2	no	—
322	C₂×D₄	—	26	1	no	—
323	C₂×D₄	—	26	1	no	—
324	C₂²×C₄	—	26	2	no	—
325	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
326	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
327	C₂²×C₄	#6129	1	1	yes	characteristic
328	SD₁₆	—	26	4	no	—
329	SD₁₆	—	52	2	no	—
330	M₁₆	—	26	2	no	—
331	M₁₆	—	26	2	no	—
332	M₁₆	—	52	4	no	—
333	C₂×C₈	—	2	1	no	—
334	C₂×C₈	—	2	1	no	—
335	C₂×C₈	—	2	2	no	—
336	C₂×C₈	—	4	2	no	—
337	C₂×C₈	—	13	1	no	—
338	C₂×C₈	—	13	1	no	—
339	C₂×C₈	—	13	1	no	—
340	C₂×C₈	—	13	1	no	—
341	C₂×C₈	—	13	2	no	—
342	C₂×C₈	—	13	2	no	—
343	C₂×C₈	—	26	2	no	—
344	C₂×C₈	—	26	1	no	—
345	C₂×C₈	—	26	1	no	—
346	C₂×C₈	—	52	4	no	—
347	C₂×C₈	—	52	1	no	—
348	C₂×C₈	—	52	2	no	—
349	C₄⋊C₄	—	2	1	no	—
350	C₄⋊C₄	—	2	1	no	—
351	C₄⋊C₄	—	2	1	no	—
352	C₄⋊C₄	—	2	2	no	—
353	C₄⋊C₄	—	2	2	no	—
354	C₄⋊C₄	—	13	2	no	—
355	C₄⋊C₄	—	26	1	no	—
356	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
357	C₂²⋊C₄	—	2	2	no	—
358	C₂²⋊C₄	—	26	2	no	—
359	C₂²⋊C₄	—	26	2	no	—
360	C₄²	—	2	2	no	—
361	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
362	C₄²	D₄×D₁₃	1	1	yes	characteristic
363	C₄²	#6129	1	1	yes	characteristic
364	C₄²	C₂³×D₁₃	1	1	yes	characteristic
365	C₁₃	#18071	1	1	yes	characteristic, complemented, Sylow
366	C₂³	—	26	2	no	—
367	C₂³	#88135	1	1	yes	characteristic
368	Q₈	—	2	2	no	—
369	Q₈	—	2	2	no	—
370	Q₈	—	8	1	no	—
371	Q₈	—	52	2	no	—
372	D₄	—	26	2	no	—
373	D₄	—	26	2	no	—
374	D₄	—	52	4	no	—
375	D₄	—	52	2	no	—
376	D₄	—	104	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	2	1	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	4	1	no	—
382	C₂×C₄	—	26	2	no	—
383	C₂×C₄	—	52	2	no	—
384	C₂×C₄	—	52	2	no	—
385	C₂×C₄	#88135	1	1	yes	characteristic
386	C₂×C₄	#88135	1	1	yes	characteristic
387	C₂×C₄	#88135	1	1	yes	characteristic
388	C₂×C₄	#88168	1	2	yes	—
389	C₂×C₄	#88172	1	2	yes	—
390	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
391	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
392	C₂×C₄	C₂×#6129	1	1	yes	characteristic
393	C₈	—	4	2	no	—
394	C₈	—	4	1	no	—
395	C₈	—	4	1	no	—
396	C₈	—	13	2	no	—
397	C₈	—	26	1	no	—
398	C₈	—	26	1	no	—
399	C₈	—	26	1	no	—
400	C₈	—	26	2	no	—
401	C₈	—	26	2	no	—
402	C₈	—	52	1	no	—
403	C₈	—	52	1	no	—
404	C₂²	—	2	1	no	—
405	C₂²	—	2	1	no	—
406	C₂²	—	52	2	no	—
407	C₂²	—	52	2	no	—
408	C₂²	—	52	2	no	—
409	C₂²	#11718478	1	2	yes	—
410	C₂²	C₂×#88135	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	2	1	no	—
413	C₄	—	2	1	no	—
414	C₄	—	4	2	no	—
415	C₄	—	4	2	no	—
416	C₄	—	52	2	no	—
417	C₄	#11718478	1	2	yes	—
418	C₄	D₁₃×#131	1	1	yes	characteristic
419	C₄	#11719455	1	1	yes	characteristic
420	C₄	C₂×#88168	1	1	yes	characteristic
421	C₄	C₂×#88172	1	1	yes	characteristic
422	C₂	—	2	2	no	—
423	C₂	—	104	2	no	—
424	C₂	#13123576	1	1	yes	characteristic
425	C₂	C₂×#11718478	1	1	yes	characteristic
426	C₂	#13123749	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₁₃
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1481	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	#11719182	C₂²
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1481	D₁₃
hypocenter	C₁₃	#18071
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1481

Complements

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

N	H ≅ G/N	type
2. #13123785	C₂	semidirect
4. #13113741	C₂	semidirect
5. #13113711	C₂	semidirect
6. #13113696	C₂	semidirect
7. #13113651	C₂	semidirect
8. C₂×#11718071	C₂	semidirect
10. #13113126	C₂	semidirect
11. C₁₃×#1481	C₂	semidirect
161. #1481	D₁₃	semidirect
201. #1055	#131	semidirect
365. C₁₃	#18071	semidirect

Maximal subgroups

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

subgroup	index
#13125396	2
#13123785	2
#13123579	2
#13113741	2
#13113711	2
#13113696	2
#13113651	2
C₂×#11718071	2
#13113236	2
#13113126	2
C₁₃×#1481	2
#18071	13