Subgroups — #15833575

Order 3328.

640 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	#13125411	C₂	1	1	yes	maximal, characteristic
2	#13123911	C₂	1	1	yes	maximal, characteristic, complemented
3	#13113748	C₂	1	2	yes	maximal, complemented
4	#13113719	C₂	1	2	yes	maximal, complemented
5	#13113658	C₂	1	2	yes	maximal, complemented
6	C₈×#6104	C₂	1	2	yes	maximal, complemented
7	#13113597	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113305	C₂	1	1	yes	maximal, characteristic, complemented
9	#13113304	C₂	1	1	yes	maximal, characteristic, complemented
10	#13113120	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#532	C₂²	1	1	yes	characteristic
13	#11719182	C₂²	1	1	yes	characteristic
14	C₁₃×#436	C₂²	1	2	yes	—
15	C₁₃×#435	—	2	2	no	—
16	C₈×D₄×C₁₃	C₂²	1	2	yes	—
17	C₁₃×#432	C₂²	1	1	yes	characteristic
18	C₁₃×#431	C₂²	1	1	yes	characteristic
19	C₁₃×#408	—	2	2	no	—
20	#11718749	C₄	1	1	yes	characteristic
21	#11718739	C₄	1	1	yes	characteristic
22	#11718734	C₄	1	1	yes	characteristic
23	#11718731	C₄	1	1	yes	characteristic
24	#11718699	C₄	1	2	yes	—
25	#11718699	C₄	1	2	yes	—
26	C₄×#6104	C₂²	1	2	yes	—
27	C₄×#6104	C₂²	1	2	yes	—
28	#11718587	C₂²	1	1	yes	characteristic
29	#11718586	C₂²	1	1	yes	characteristic
30	C₂×C₄×#1055	C₂²	1	1	yes	characteristic
31	#11718497	—	2	2	no	—
32	#11718388	—	2	2	no	—
33	#11718349	C₂²	1	2	yes	—
34	C₈×D₅₂	C₂²	1	2	yes	—
35	D₄⋊#1055	C₂²	1	2	yes	—
36	D₄⋊#1055	C₂²	1	2	yes	—
37	#11718075	C₂²	1	2	yes	—
38	#11718075	C₂²	1	2	yes	—
39	#11718072	C₂²	1	2	yes	—
40	#11718071	C₂²	1	2	yes	—
41	#11718046	C₂²	1	1	yes	characteristic
42	#11718046	C₂²	1	1	yes	characteristic
43	C₈×#1055	C₂²	1	1	yes	characteristic
44	C₈×#1055	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#41	—	2	1	no	—
46	C₂×#6127	—	2	1	no	—
47	C₂×C₁₃×M₁₆	—	2	2	no	—
48	C₂²×C₈×C₁₃	—	2	2	no	—
49	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
50	C₁₃×#127	C₂×C₄	1	1	yes	characteristic
51	C₁₃×#124	—	2	1	no	—
52	C₁₃×#121	—	2	1	no	—
53	C₁₃×#121	C₂×C₄	1	2	yes	—
54	C₄×D₄×C₁₃	—	2	1	no	—
55	C₄×D₄×C₁₃	C₂³	1	2	yes	—
56	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
57	C₂×#6104	C₂×C₄	1	2	yes	—
58	C₂×#6104	C₂×C₄	1	2	yes	—
59	#88184	—	2	1	no	—
60	#88184	C₂×C₄	1	2	yes	—
61	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
62	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
63	C₂×#6094	—	2	2	no	—
64	C₂×C₈×D₁₃	—	2	2	no	—
65	#88129	—	2	1	no	—
66	#88128	C₂×C₄	1	1	yes	characteristic
67	C₄×D₅₂	—	2	1	no	—
68	C₄×D₅₂	C₂³	1	2	yes	—
69	#88123	C₂×C₄	1	1	yes	characteristic
70	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
71	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
72	C₁₃×C₂²⋊C₈	—	2	1	no	—
73	C₁₃×C₂²⋊C₈	—	2	2	no	—
74	C₁₃×C₂²⋊C₈	—	2	2	no	—
75	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
76	C₁₃×#97	—	2	1	no	—
77	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
78	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
79	#88072	C₂×C₄	1	2	yes	—
80	#88072	C₂×C₄	1	2	yes	—
81	C₂²⋊#1055	—	2	1	no	—
82	C₂²⋊#1055	—	2	1	no	—
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	#88047	C₂×C₄	1	2	yes	—
88	#88047	C₂×C₄	1	2	yes	—
89	C₄⋊#1055	—	2	1	no	—
90	C₄⋊#1055	C₂³	1	2	yes	—
91	#88043	—	2	1	no	—
92	C₄×#1055	C₂×C₄	1	1	yes	characteristic
93	C₄×#1055	C₂×C₄	1	1	yes	characteristic
94	C₄×#1055	C₂³	1	1	yes	characteristic
95	C₄×#1055	C₂³	1	1	yes	characteristic
96	C₄×#1055	C₂³	1	1	yes	characteristic
97	C₄×#1055	C₂³	1	1	yes	characteristic
98	#17970	—	13	1	no	maximal, Sylow
99	C₁₃×#41	—	8	2	no	—
100	C₂×Q₈×C₁₃	—	2	1	no	—
101	C₂×D₄×C₁₃	—	2	2	no	—
102	C₂×D₄×C₁₃	—	2	1	no	—
103	C₂×D₄×C₁₃	—	2	1	no	—
104	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
105	C₂²×C₄×C₁₃	—	2	2	no	—
106	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
107	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
109	C₂×C₂²⋊D₁₃	—	2	2	no	—
110	#6127	—	8	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	C₁₃×M₁₆	—	8	2	no	—
117	C₂×C₈×C₁₃	—	2	2	no	—
118	C₂×C₈×C₁₃	—	8	2	no	—
119	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
120	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
121	C₁₃×C₄⋊C₄	—	2	1	no	—
122	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
123	C₁₃×C₂²⋊C₄	—	2	2	no	—
124	C₁₃×C₂²⋊C₄	—	2	2	no	—
125	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
126	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₁₃	#41	1	1	yes	characteristic
128	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
129	#6104	—	2	4	no	—
130	#6104	—	2	4	no	—
131	#6103	—	2	2	no	—
132	#6103	—	2	2	no	—
133	C₄⋊Dic₁₃	—	2	1	no	—
134	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
135	C₂×#1055	—	2	2	no	—
136	C₂×#1055	—	2	2	no	—
137	C₂×#1055	—	2	2	no	—
138	C₂×#1055	—	2	1	no	—
139	C₂×#1055	—	2	1	no	—
140	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
141	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
142	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
143	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
144	#6094	—	8	2	no	—
145	C₈×D₁₃	—	8	2	no	—
146	#3169	—	13	1	no	—
147	#2981	—	13	1	no	—
148	#2981	D₁₃	1	1	yes	characteristic, complemented
149	#1594	—	13	2	no	—
150	#1589	—	13	2	no	—
151	#1580	—	13	2	no	—
152	C₈×D₈	—	13	2	no	—
153	#1568	—	13	1	no	—
154	#1496	—	13	1	no	—
155	#1496	—	13	1	no	—
156	#1450	—	13	1	no	—
157	C₂³×C₁₃	—	2	2	no	—
158	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
159	C₂²×D₁₃	—	2	2	no	—
160	Q₈×C₁₃	—	8	1	no	—
161	D₄×C₁₃	—	2	2	no	—
162	D₄×C₁₃	—	2	2	no	—
163	D₄×C₁₃	—	8	1	no	—
164	D₄×C₁₃	—	8	1	no	—
165	D₄×C₁₃	—	8	2	no	—
166	C₂×C₄×C₁₃	—	2	1	no	—
167	C₂×C₄×C₁₃	—	2	1	no	—
168	C₂×C₄×C₁₃	—	2	2	no	—
169	C₂×C₄×C₁₃	—	2	2	no	—
170	C₂×C₄×C₁₃	—	4	1	no	—
171	C₂×C₄×C₁₃	—	4	2	no	—
172	C₂×C₄×C₁₃	—	4	2	no	—
173	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
174	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
175	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
176	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
177	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
178	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
179	C₂²⋊D₁₃	—	8	2	no	—
180	C₂×Dic₁₃	—	2	2	no	—
181	D₅₂	—	2	2	no	—
182	D₅₂	—	2	2	no	—
183	D₅₂	—	8	1	no	—
184	D₅₂	—	8	1	no	—
185	C₄×D₁₃	—	4	2	no	—
186	C₄×D₁₃	—	4	2	no	—
187	Dic₂₆	—	8	1	no	—
188	C₈×C₁₃	—	2	2	no	—
189	C₈×C₁₃	—	2	2	no	—
190	C₈×C₁₃	—	4	2	no	—
191	#1055	—	2	1	no	—
192	#1055	—	2	1	no	—
193	#1055	—	4	1	no	—
194	#1055	—	4	1	no	—
195	#1055	—	4	2	no	—
196	#1055	#131	1	2	yes	—
197	#1055	#131	1	2	yes	—
198	#532	—	13	1	no	—
199	#532	C₂×D₁₃	1	1	yes	characteristic
200	#500	—	13	1	no	—
201	#493	—	13	1	no	—
202	#486	—	13	1	no	—
203	#486	—	13	1	no	—
204	#466	—	13	2	no	—
205	#466	—	13	2	no	—
206	C₄×D₈	—	13	2	no	—
207	C₄×D₈	—	13	2	no	—
208	#436	—	13	2	no	—
209	#436	C₂×D₁₃	1	2	yes	—
210	#435	—	2	2	no	—
211	#435	—	26	2	no	—
212	C₈×D₄	—	13	2	no	—
213	C₈×D₄	C₂×D₁₃	1	2	yes	—
214	#432	—	13	1	no	—
215	#432	C₂×D₁₃	1	1	yes	characteristic
216	#431	—	13	1	no	—
217	#431	C₂×D₁₃	1	1	yes	characteristic
218	#408	—	2	2	no	—
219	#408	—	26	2	no	—
220	C₂×C₄×C₈	—	13	1	no	—
221	#335	—	13	2	no	—
222	#334	—	13	2	no	—
223	D₄⋊C₈	—	13	2	no	—
224	D₄⋊C₈	—	13	2	no	—
225	D₄⋊C₈	—	13	2	no	—
226	D₄⋊C₈	—	13	2	no	—
227	#322	—	13	1	no	—
228	#322	—	13	1	no	—
229	C₈²	—	13	1	no	—
230	C₈²	—	13	1	no	—
231	C₂²×C₁₃	—	2	1	no	—
232	C₂²×C₁₃	—	2	1	no	—
233	C₂²×C₁₃	—	2	1	no	—
234	C₂²×C₁₃	—	4	2	no	—
235	C₂²×C₁₃	—	4	2	no	—
236	C₂²×C₁₃	—	4	2	no	—
237	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
238	C₂×D₁₃	—	4	2	no	—
239	C₂×D₁₃	—	4	2	no	—
240	C₂×D₁₃	—	4	2	no	—
241	C₄×C₁₃	—	2	1	no	—
242	C₄×C₁₃	—	2	1	no	—
243	C₄×C₁₃	—	2	1	no	—
244	C₄×C₁₃	—	2	1	no	—
245	C₄×C₁₃	—	4	2	no	—
246	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
247	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
248	C₄×C₁₃	#576	1	2	yes	—
249	Dic₁₃	—	4	2	no	—
250	C₂×#41	—	2	1	no	—
251	C₂×#41	—	26	1	no	—
252	C₂×D₈	—	13	2	no	—
253	C₂×D₈	—	13	2	no	—
254	C₂×M₁₆	—	2	2	no	—
255	C₂×M₁₆	—	26	2	no	—
256	C₂²×C₈	—	2	2	no	—
257	C₂²×C₈	—	13	1	no	—
258	C₂²×C₈	—	13	1	no	—
259	C₂²×C₈	—	26	2	no	—
260	C₄⋊Q₈	—	13	1	no	—
261	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
262	#127	—	13	1	no	—
263	#127	C₄×D₁₃	1	1	yes	characteristic
264	#124	—	2	1	no	—
265	#124	—	26	1	no	—
266	#121	—	2	1	no	—
267	#121	—	13	2	no	—
268	#121	—	26	1	no	—
269	#121	C₄×D₁₃	1	2	yes	—
270	C₄×D₄	—	2	1	no	—
271	C₄×D₄	—	13	2	no	—
272	C₄×D₄	—	26	1	no	—
273	C₄×D₄	C₂²×D₁₃	1	2	yes	—
274	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
275	#107	—	13	2	no	—
276	#107	—	13	2	no	—
277	C₄⋊C₈	—	13	2	no	—
278	C₄⋊C₈	—	26	1	no	—
279	C₄⋊C₈	C₂²⋊D₁₃	1	2	yes	—
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	—	13	2	no	—
285	C₂²⋊C₈	—	2	1	no	—
286	C₂²⋊C₈	—	2	2	no	—
287	C₂²⋊C₈	—	2	2	no	—
288	C₂²⋊C₈	—	26	1	no	—
289	C₂²⋊C₈	—	26	1	no	—
290	C₂²⋊C₈	—	26	2	no	—
291	C₂²⋊C₈	—	26	2	no	—
292	C₂²⋊C₈	C₂²⋊D₁₃	1	2	yes	—
293	#97	—	2	1	no	—
294	#97	—	26	1	no	—
295	C₄×C₈	—	13	1	no	—
296	C₄×C₈	—	13	1	no	—
297	C₄×C₈	—	13	1	no	—
298	C₄×C₈	—	13	1	no	—
299	C₄×C₈	—	13	1	no	—
300	C₄×C₈	—	13	1	no	—
301	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
302	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
303	C₂×C₁₃	—	4	1	no	—
304	C₂×C₁₃	—	8	2	no	—
305	C₂×C₁₃	#2931	1	1	yes	characteristic
306	C₂×C₁₃	#2948	1	1	yes	characteristic
307	C₂×C₁₃	#2957	1	1	yes	characteristic
308	D₁₃	—	8	2	no	—
309	#41	—	8	2	no	—
310	#41	—	104	2	no	—
311	C₂×Q₈	—	2	1	no	—
312	C₂×Q₈	—	26	1	no	—
313	C₂×D₄	—	2	2	no	—
314	C₂×D₄	—	2	1	no	—
315	C₂×D₄	—	2	1	no	—
316	C₂×D₄	—	13	2	no	—
317	C₂×D₄	—	26	2	no	—
318	C₂×D₄	—	26	1	no	—
319	C₂×D₄	—	26	1	no	—
320	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
321	C₂²×C₄	—	2	2	no	—
322	C₂²×C₄	—	26	2	no	—
323	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
324	C₂²×C₄	#6127	1	1	yes	characteristic
325	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
326	D₈	—	26	4	no	—
327	D₈	—	26	4	no	—
328	M₁₆	—	8	2	no	—
329	M₁₆	—	104	2	no	—
330	C₂×C₈	—	2	2	no	—
331	C₂×C₈	—	8	2	no	—
332	C₂×C₈	—	13	1	no	—
333	C₂×C₈	—	13	1	no	—
334	C₂×C₈	—	13	1	no	—
335	C₂×C₈	—	13	1	no	—
336	C₂×C₈	—	26	2	no	—
337	C₂×C₈	—	26	2	no	—
338	C₂×C₈	—	26	1	no	—
339	C₂×C₈	—	26	1	no	—
340	C₂×C₈	—	26	2	no	—
341	C₂×C₈	—	104	2	no	—
342	C₂×C₈	C₂×C₂²⋊D₁₃	1	2	yes	—
343	C₂×C₈	C₂×C₂²⋊D₁₃	1	2	yes	—
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	13	2	no	—
346	C₄⋊C₄	—	26	1	no	—
347	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
348	C₂²⋊C₄	—	2	2	no	—
349	C₂²⋊C₄	—	2	2	no	—
350	C₂²⋊C₄	—	26	2	no	—
351	C₂²⋊C₄	—	26	2	no	—
352	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
353	C₄²	#6127	1	1	yes	characteristic
354	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
355	C₄²	C₂³×D₁₃	1	1	yes	characteristic
356	C₁₃	#17970	1	1	yes	characteristic, complemented, Sylow
357	C₂³	—	2	2	no	—
358	C₂³	—	26	2	no	—
359	C₂³	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
360	Q₈	—	8	1	no	—
361	Q₈	—	104	1	no	—
362	D₄	—	2	2	no	—
363	D₄	—	2	2	no	—
364	D₄	—	8	1	no	—
365	D₄	—	8	1	no	—
366	D₄	—	8	2	no	—
367	D₄	—	26	2	no	—
368	D₄	—	26	2	no	—
369	D₄	—	104	1	no	—
370	D₄	—	104	1	no	—
371	D₄	—	104	2	no	—
372	C₂×C₄	—	2	1	no	—
373	C₂×C₄	—	2	1	no	—
374	C₂×C₄	—	2	2	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	4	1	no	—
377	C₂×C₄	—	4	2	no	—
378	C₂×C₄	—	4	2	no	—
379	C₂×C₄	—	26	2	no	—
380	C₂×C₄	—	52	2	no	—
381	C₂×C₄	—	52	2	no	—
382	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
383	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
384	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
385	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
386	C₂×C₄	C₂×#6127	1	1	yes	characteristic
387	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
388	C₈	—	2	2	no	—
389	C₈	—	2	2	no	—
390	C₈	—	4	2	no	—
391	C₈	—	13	2	no	—
392	C₈	—	13	2	no	—
393	C₈	—	26	1	no	—
394	C₈	—	26	1	no	—
395	C₈	—	52	1	no	—
396	C₈	—	52	1	no	—
397	C₈	—	52	2	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	4	2	no	—
402	C₂²	—	4	2	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	52	2	no	—
405	C₂²	—	52	2	no	—
406	C₂²	—	52	2	no	—
407	C₂²	C₂×C₄×C₂²⋊D₁₃	1	1	yes	characteristic
408	C₄	—	2	1	no	—
409	C₄	—	2	1	no	—
410	C₄	—	2	1	no	—
411	C₄	—	2	1	no	—
412	C₄	—	4	2	no	—
413	C₄	—	52	2	no	—
414	C₄	D₁₃×#131	1	1	yes	characteristic
415	C₄	D₁₃×#131	1	1	yes	characteristic
416	C₄	#11719540	1	2	yes	—
417	C₂	—	4	1	no	—
418	C₂	—	8	2	no	—
419	C₂	—	104	2	no	—
420	C₂	#13123546	1	1	yes	characteristic
421	C₂	#13123686	1	1	yes	characteristic
422	C₂	#13123751	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₁₃
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#2981	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	#13125411	C₂
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#2981	D₁₃
hypocenter	C₁₃	#17970
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #431 ◁ #2981

Complements

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

N	H ≅ G/N	type
2. #13123911	C₂	semidirect
3. #13113748	C₂	semidirect
4. #13113719	C₂	semidirect
5. #13113658	C₂	semidirect
6. C₈×#6104	C₂	semidirect
7. #13113597	C₂	semidirect
8. #13113305	C₂	semidirect
9. #13113304	C₂	semidirect
10. #13113120	C₂	semidirect
11. C₁₃×#2981	C₂	semidirect
148. #2981	D₁₃	semidirect
356. C₁₃	#17970	semidirect

Maximal subgroups

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

subgroup	index
#13125411	2
#13123911	2
#13113748	2
#13113719	2
#13113658	2
C₈×#6104	2
#13113597	2
#13113305	2
#13113304	2
#13113120	2
C₁₃×#2981	2
#17970	13