Subgroups — #16797206

Order 3328.

1126 conjugacy classes of subgroups.

The subgroup lattice has 402 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719092	C₂	1	1	yes	maximal, characteristic
2	C₂²×#88102	C₂	1	1	yes	maximal, characteristic
3	#13131273	C₂	1	2	yes	maximal
4	#13130650	C₂	1	4	yes	maximal, complemented
5	C₄×#88102	C₂	1	4	yes	maximal, complemented
6	#13130524	C₂	1	2	yes	maximal
7	D₁₃×#405	C₂	1	1	yes	maximal, characteristic
8	C₂×#88237	C₂²	1	2	yes	—
9	C₂²×C₄⋊#261	C₂²	1	2	yes	—
10	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic
11	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
12	D₁₃×#117	C₂²	1	1	yes	characteristic
13	#11719092	C₄	1	8	yes	complemented
14	C₂×#88102	C₄	1	8	yes	complemented
15	C₂×#88102	C₂²	1	2	yes	—
16	C₂×#88102	C₂²	1	2	yes	—
17	C₂×#88102	C₂²	1	2	yes	—
18	C₂×#88101	C₂²	1	2	yes	—
19	C₄⋊C₄×#261	—	2	4	no	—
20	C₂²⋊C₄×#261	—	2	4	no	—
21	C₄×C₄⋊#261	C₂²	1	8	yes	—
22	C₁₃×#405	C₄	1	1	yes	characteristic, complemented
23	#11718783	C₄	1	1	yes	characteristic, complemented
24	#11718762	C₄	1	1	yes	characteristic, complemented
25	#11718658	C₄	1	1	yes	characteristic, complemented
26	#11718369	C₄	1	2	yes	complemented
27	D₁₃×#97	C₂²	1	2	yes	—
28	#11718350	C₄	1	2	yes	complemented
29	C₄×C₈×D₁₃	C₂²	1	2	yes	—
30	#11718265	C₂²	1	8	yes	—
31	C₂³×#261	—	2	2	no	—
32	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
33	C₂×C₂²⋊#261	—	2	2	no	—
34	#88237	—	2	4	no	—
35	#88237	C₂×C₄	1	8	yes	—
36	C₂×C₄⋊#261	—	2	2	no	—
37	C₂×C₄⋊#261	—	2	4	no	—
38	C₂×C₄⋊#261	C₂×C₄	1	8	yes	—
39	C₂×C₄⋊#261	C₂³	1	4	yes	—
40	C₂×C₄⋊#261	C₂³	1	4	yes	—
41	C₂×C₄×#261	—	2	2	no	—
42	C₂×C₄×#261	—	2	8	no	—
43	C₂×C₁₃×M₁₆	C₂×C₄	1	1	yes	characteristic
44	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
45	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
46	#88180	C₂×C₄	1	1	yes	characteristic
47	C₂×#6099	C₂×C₄	1	1	yes	characteristic
48	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
49	M₁₆×D₁₃	—	2	2	no	—
50	M₁₆×D₁₃	—	2	2	no	—
51	C₂×#6094	C₂×C₄	1	2	yes	—
52	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
53	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
54	C₂×C₈×D₁₃	C₂×C₄	1	4	yes	—
55	C₂×C₈×D₁₃	C₂×C₄	1	4	yes	—
56	C₂×C₈×D₁₃	C₂³	1	2	yes	—
57	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
58	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
59	#88146	Q₈	1	2	yes	—
60	C₄⋊C₄×D₁₃	D₄	1	2	yes	—
61	C₂²⋊C₄×D₁₃	D₄	1	2	yes	—
62	#88131	Q₈	1	2	yes	—
63	#88126	C₂×C₄	1	2	yes	—
64	C₄²×D₁₃	C₂³	1	2	yes	—
65	(C₂×#261)⋊C₄	—	2	8	no	—
66	#88102	C₂×C₄	1	8	yes	—
67	#88102	C₂×C₄	1	8	yes	—
68	#88102	C₂×C₄	1	8	yes	complemented
69	#88101	C₂×C₄	1	8	yes	complemented
70	C₁₃×#97	C₂×C₄	1	2	yes	complemented
71	C₄×C₈×C₁₃	C₂×C₄	1	2	yes	complemented
72	#88055	C₂×C₄	1	2	yes	complemented
73	#88055	C₂×C₄	1	2	yes	complemented
74	C₈×Dic₁₃	C₂×C₄	1	2	yes	complemented
75	C₈×Dic₁₃	C₂×C₄	1	2	yes	complemented
76	#88043	C₂×C₄	1	2	yes	complemented
77	C₄×#1055	C₂×C₄	1	2	yes	complemented
78	#20455	—	13	1	no	maximal, Sylow
79	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
80	C₂²×#261	—	2	4	no	—
81	C₂²×#261	—	2	4	no	—
82	C₂²×#261	—	2	8	no	—
83	C₂²×#261	—	8	4	no	—
84	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
85	C₂²×Dic₁₃	C₂×Q₈	1	1	yes	characteristic
86	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
87	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
88	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
89	C₂×C₄×D₁₃	C₂×D₄	1	4	yes	—
90	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
91	C₂×C₄×D₁₃	C₂×Q₈	1	1	yes	characteristic
92	C₂×C₄×D₁₃	#41	1	2	yes	—
93	C₂×C₄×D₁₃	#41	1	2	yes	—
94	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
95	C₂²⋊#261	—	2	8	no	—
96	C₄⋊#261	—	2	8	no	—
97	C₄⋊#261	—	2	4	no	—
98	C₄⋊#261	—	2	4	no	—
99	C₄⋊#261	C₂²×C₄	1	8	yes	—
100	C₄⋊#261	C₂²×C₄	1	8	yes	—
101	C₄×#261	—	2	8	no	—
102	C₄×#261	—	8	8	no	—
103	C₁₃×M₁₆	—	2	2	no	—
104	C₂×C₈×C₁₃	C₄²	1	4	yes	complemented
105	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
106	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
108	C₁₃×C₄⋊C₄	C₄⋊C₄	1	2	yes	—
109	C₁₃×C₂²⋊C₄	C₄⋊C₄	1	2	yes	—
110	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
111	C₂²⋊Dic₁₃	C₄⋊C₄	1	2	yes	—
112	#6103	C₄⋊C₄	1	4	yes	—
113	C₄⋊Dic₁₃	C₄⋊C₄	1	2	yes	—
114	#6101	C₄⋊C₄	1	4	yes	—
115	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
116	C₄×Dic₁₃	C₂×Q₈	1	4	yes	—
117	#6099	—	2	2	no	—
118	C₂×#1055	C₄²	1	4	yes	complemented
119	C₂×#1055	C₂²×C₄	1	2	yes	—
120	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
121	C₂×#1055	C₂²×C₄	1	1	yes	characteristic
122	#6094	—	2	4	no	—
123	C₈×D₁₃	—	2	2	no	—
124	C₈×D₁₃	—	2	2	no	—
125	C₈×D₁₃	C₄²	1	4	yes	complemented
126	C₈×D₁₃	C₄²	1	4	yes	complemented
127	C₈×D₁₃	C₂²×C₄	1	2	yes	—
128	C₈×D₁₃	C₂²×C₄	1	2	yes	—
129	C₈×D₁₃	C₂²×C₄	1	2	yes	—
130	C₈×D₁₃	C₂²×C₄	1	2	yes	—
131	C₂×#427	—	13	1	no	—
132	C₂²×#107	—	13	1	no	—
133	C₂×#405	—	13	1	no	—
134	#2274	—	13	2	no	—
135	#1776	—	13	4	no	—
136	C₄×#107	—	13	4	no	—
137	#1736	—	13	2	no	—
138	C₂³×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
139	C₂²×D₁₃	—	2	2	no	—
140	C₂²×D₁₃	—	2	2	no	—
141	C₂²×D₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
142	C₂²×D₁₃	C₄×D₄	1	2	yes	—
143	C₂²×D₁₃	C₄×D₄	1	2	yes	—
144	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
145	C₂×#261	—	2	8	no	—
146	C₂×#261	—	2	8	no	—
147	C₂×#261	—	4	4	no	—
148	C₂×#261	—	4	8	no	—
149	C₂×#261	—	4	4	no	—
150	C₂×#261	—	8	8	no	—
151	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
152	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
153	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
154	C₂×C₄×C₁₃	#117	1	2	yes	—
155	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
156	C₂×Dic₁₃	C₂×C₄⋊C₄	1	4	yes	—
157	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
158	C₂×Dic₁₃	C₄×Q₈	1	2	yes	—
159	C₂×Dic₁₃	C₄×Q₈	1	2	yes	—
160	C₂×Dic₁₃	C₂²×Q₈	1	1	yes	characteristic
161	C₄×D₁₃	—	2	4	no	—
162	C₄×D₁₃	—	2	4	no	—
163	C₄×D₁₃	C₂×C₄²	1	2	yes	—
164	C₄×D₁₃	#117	1	2	yes	—
165	C₄×D₁₃	C₄×D₄	1	2	yes	—
166	C₄×D₁₃	C₄×D₄	1	2	yes	—
167	C₄×D₁₃	C₄×Q₈	1	2	yes	—
168	C₄×D₁₃	C₄×Q₈	1	2	yes	—
169	C₄×D₁₃	C₂³×C₄	1	1	yes	characteristic
170	C₄×D₁₃	C₂³×C₄	1	1	yes	characteristic
171	C₄×D₁₃	C₂×#41	1	1	yes	characteristic
172	C₄×D₁₃	C₂×#41	1	1	yes	characteristic
173	C₈×C₁₃	—	2	2	no	—
174	C₈×C₁₃	C₂×C₄²	1	2	yes	—
175	C₈×C₁₃	C₂×C₄²	1	2	yes	—
176	#1055	—	2	2	no	—
177	#1055	C₂×C₄²	1	2	yes	—
178	#1055	C₂×C₄²	1	2	yes	—
179	C₂²×M₁₆	—	13	1	no	—
180	C₂³×C₈	—	13	1	no	—
181	C₂×#117	—	13	1	no	—
182	C₂×#117	—	13	2	no	—
183	C₂²×C₄⋊C₄	—	13	2	no	—
184	#427	—	13	8	no	—
185	C₂×#107	—	13	8	no	—
186	C₂×#107	—	13	2	no	—
187	C₂×#107	—	13	2	no	—
188	C₂×#107	—	13	2	no	—
189	C₂×#106	—	13	2	no	—
190	#405	—	13	1	no	—
191	#405	—	13	1	no	—
192	#405	—	13	1	no	—
193	#405	—	13	2	no	—
194	#405	—	13	2	no	—
195	#405	#261	1	1	yes	characteristic, complemented
196	C₂×#97	—	13	2	no	—
197	C₂×C₄×C₈	—	13	2	no	—
198	C₄×C₄⋊C₄	—	13	8	no	—
199	C₄×C₄⋊C₄	—	26	4	no	—
200	C₄×C₂²⋊C₄	—	26	4	no	—
201	#340	—	13	8	no	—
202	C₂²×C₁₃	—	2	2	no	—
203	C₂²×C₁₃	C₄×C₄⋊C₄	1	2	yes	—
204	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
205	C₂×D₁₃	—	2	2	no	—
206	C₂×D₁₃	—	2	2	no	—
207	C₂×D₁₃	—	2	2	no	—
208	C₂×D₁₃	—	2	4	no	—
209	C₂×D₁₃	C₄×C₄⋊C₄	1	2	yes	—
210	C₂×D₁₃	C₂×C₄×D₄	1	1	yes	characteristic
211	C₂×D₁₃	C₂×C₄×D₄	1	1	yes	characteristic
212	C₂×D₁₃	#576	1	2	yes	—
213	C₂×D₁₃	#578	1	2	yes	—
214	#261	—	4	8	no	—
215	#261	—	4	8	no	—
216	C₄×C₁₃	—	2	4	no	—
217	C₄×C₁₃	C₄×C₄⋊C₄	1	2	yes	—
218	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
219	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
220	Dic₁₃	—	2	4	no	—
221	Dic₁₃	C₄×C₄⋊C₄	1	2	yes	—
222	Dic₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
223	Dic₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
224	C₂³×C₄	—	13	1	no	—
225	C₂³×C₄	—	26	2	no	—
226	C₂×M₁₆	—	13	1	no	—
227	C₂×M₁₆	—	13	2	no	—
228	C₂×M₁₆	—	26	2	no	—
229	C₂×M₁₆	—	26	2	no	—
230	C₂×M₁₆	C₂×#261	1	1	yes	characteristic
231	C₂²×C₈	—	13	1	no	—
232	C₂²×C₈	—	13	4	no	—
233	C₂²×C₈	—	13	4	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	2	no	—
239	C₂²×C₈	C₂×#261	1	1	yes	characteristic
240	#117	—	13	1	no	—
241	#117	—	13	2	no	—
242	#117	—	13	2	no	—
243	#117	—	13	2	no	—
244	#117	—	13	8	no	—
245	#117	—	26	4	no	—
246	#117	C₂×#261	1	1	yes	characteristic
247	C₂×C₄⋊C₄	—	13	2	no	—
248	C₂×C₄⋊C₄	—	13	4	no	—
249	C₂×C₄⋊C₄	—	13	8	no	—
250	C₂×C₄⋊C₄	—	13	4	no	—
251	C₂×C₄⋊C₄	—	26	2	no	—
252	C₂×C₄⋊C₄	—	26	4	no	—
253	C₂×C₂²⋊C₄	—	13	2	no	—
254	C₂×C₂²⋊C₄	—	26	2	no	—
255	C₂×C₄²	—	13	2	no	—
256	C₂×C₄²	—	26	2	no	—
257	C₂×C₄²	—	26	8	no	—
258	#107	—	13	8	no	—
259	#107	—	13	8	no	—
260	#107	—	13	8	no	—
261	#106	—	13	8	no	—
262	#97	—	13	2	no	—
263	#97	—	13	2	no	—
264	#97	—	13	2	no	—
265	#97	C₂×#261	1	2	yes	complemented
266	C₄×C₈	—	13	2	no	—
267	C₄×C₈	—	13	2	no	—
268	C₄×C₈	—	13	2	no	—
269	C₄×C₈	C₂×#261	1	2	yes	complemented
270	#95	—	26	8	no	—
271	C₂×C₁₃	—	2	2	no	—
272	C₂×C₁₃	C₂×C₄×C₄⋊C₄	1	1	yes	characteristic
273	C₂×C₁₃	#2913	1	2	yes	—
274	D₁₃	—	2	2	no	—
275	D₁₃	#2948	1	1	yes	characteristic
276	D₁₃	#2950	1	1	yes	characteristic
277	D₁₃	#2951	1	2	yes	—
278	C₂⁴	—	13	1	no	—
279	C₂²×C₄	—	13	1	no	—
280	C₂²×C₄	—	13	2	no	—
281	C₂²×C₄	—	13	2	no	—
282	C₂²×C₄	—	13	1	no	—
283	C₂²×C₄	—	13	1	no	—
284	C₂²×C₄	—	13	2	no	—
285	C₂²×C₄	—	13	2	no	—
286	C₂²×C₄	—	13	1	no	—
287	C₂²×C₄	—	13	1	no	—
288	C₂²×C₄	—	13	4	no	—
289	C₂²×C₄	—	26	4	no	—
290	C₂²×C₄	—	26	4	no	—
291	C₂²×C₄	—	26	8	no	—
292	C₂²×C₄	—	104	4	no	—
293	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
294	M₁₆	—	2	2	no	—
295	M₁₆	—	26	4	no	—
296	M₁₆	—	26	2	no	—
297	C₂×C₈	—	13	4	no	—
298	C₂×C₈	—	13	1	no	—
299	C₂×C₈	—	13	1	no	—
300	C₂×C₈	—	13	2	no	—
301	C₂×C₈	—	13	2	no	—
302	C₂×C₈	—	13	2	no	—
303	C₂×C₈	—	13	2	no	—
304	C₂×C₈	—	13	4	no	—
305	C₂×C₈	—	13	4	no	—
306	C₂×C₈	—	13	2	no	—
307	C₂×C₈	—	26	2	no	—
308	C₂×C₈	—	26	2	no	—
309	C₂×C₈	C₄×#261	1	4	yes	complemented
310	C₂×C₈	C₂²×#261	1	2	yes	—
311	C₂×C₈	C₂²×#261	1	1	yes	characteristic
312	C₂×C₈	C₂²×#261	1	1	yes	characteristic
313	C₄⋊C₄	—	13	4	no	—
314	C₄⋊C₄	—	13	2	no	—
315	C₄⋊C₄	—	13	8	no	—
316	C₄⋊C₄	—	13	8	no	—
317	C₄⋊C₄	—	26	8	no	—
318	C₄⋊C₄	—	26	4	no	—
319	C₄⋊C₄	—	26	4	no	—
320	C₄⋊C₄	C₄⋊#261	1	2	yes	—
321	C₂²⋊C₄	—	13	2	no	—
322	C₂²⋊C₄	—	13	4	no	—
323	C₂²⋊C₄	—	26	8	no	—
324	C₂²⋊C₄	C₄⋊#261	1	2	yes	—
325	C₄²	—	13	4	no	—
326	C₄²	—	13	2	no	—
327	C₄²	—	26	8	no	—
328	C₄²	—	104	8	no	—
329	C₄²	C₂²×#261	1	2	yes	—
330	C₁₃	#20455	1	1	yes	characteristic, complemented, Sylow
331	C₂³	—	13	1	no	—
332	C₂³	—	13	2	no	—
333	C₂³	—	13	2	no	—
334	C₂³	—	13	1	no	—
335	C₂³	—	26	2	no	—
336	C₂³	—	26	2	no	—
337	C₂³	C₂×C₄⋊#261	1	1	yes	characteristic
338	C₂×C₄	—	13	2	no	—
339	C₂×C₄	—	13	2	no	—
340	C₂×C₄	—	13	1	no	—
341	C₂×C₄	—	13	1	no	—
342	C₂×C₄	—	13	2	no	—
343	C₂×C₄	—	13	2	no	—
344	C₂×C₄	—	13	2	no	—
345	C₂×C₄	—	13	2	no	—
346	C₂×C₄	—	13	1	no	—
347	C₂×C₄	—	13	1	no	—
348	C₂×C₄	—	13	2	no	—
349	C₂×C₄	—	13	1	no	—
350	C₂×C₄	—	13	1	no	—
351	C₂×C₄	—	13	2	no	—
352	C₂×C₄	—	13	4	no	—
353	C₂×C₄	—	26	4	no	—
354	C₂×C₄	—	26	4	no	—
355	C₂×C₄	—	26	8	no	—
356	C₂×C₄	—	26	8	no	—
357	C₂×C₄	—	52	4	no	—
358	C₂×C₄	—	52	8	no	—
359	C₂×C₄	—	52	4	no	—
360	C₂×C₄	—	104	8	no	—
361	C₂×C₄	C₂×C₄×#261	1	2	yes	—
362	C₂×C₄	C₂×C₄⋊#261	1	4	yes	—
363	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
364	C₂×C₄	#88237	1	2	yes	—
365	C₂×C₄	C₂³×#261	1	1	yes	characteristic
366	C₈	—	2	2	no	—
367	C₈	—	13	2	no	—
368	C₈	—	13	2	no	—
369	C₈	—	26	2	no	—
370	C₈	C₂×C₄×#261	1	2	yes	—
371	C₈	C₂×C₄×#261	1	2	yes	—
372	C₂²	—	2	2	no	—
373	C₂²	—	13	1	no	—
374	C₂²	—	13	1	no	—
375	C₂²	—	13	2	no	—
376	C₂²	—	13	2	no	—
377	C₂²	—	13	2	no	—
378	C₂²	—	26	2	no	—
379	C₂²	—	26	4	no	—
380	C₂²	—	26	2	no	—
381	C₂²	—	26	2	no	—
382	C₂²	C₄×C₄⋊#261	1	2	yes	—
383	C₂²	C₂²×C₄⋊#261	1	1	yes	characteristic
384	C₄	—	2	4	no	—
385	C₄	—	13	1	no	—
386	C₄	—	13	1	no	—
387	C₄	—	13	2	no	—
388	C₄	—	26	4	no	—
389	C₄	—	52	8	no	—
390	C₄	—	52	8	no	—
391	C₄	C₄×C₄⋊#261	1	2	yes	—
392	C₄	C₂²×C₄×#261	1	1	yes	characteristic
393	C₄	C₂×#88237	1	1	yes	characteristic
394	C₂	—	2	2	no	—
395	C₂	—	13	1	no	—
396	C₂	—	13	2	no	—
397	C₂	—	13	1	no	—
398	C₂	—	26	2	no	—
399	C₂	C₂×C₄×C₄⋊#261	1	1	yes	characteristic
400	C₂	#13131491	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×C₄⋊#261
commutator	C₄×C₁₃	C₂²×C₄²
Frattini	C₂×C₄	C₂³×#261
Fitting	C₁₃×#405	C₄
socle	C₂²×C₁₃	C₂²×C₄⋊C₄
prime radical	C₂³×D₁₃	C₂×D₄
cosocle	C₂×C₄×D₁₃	C₂⁴
hypercenter	#405	#261
hypocenter	C₁₃	#20455
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #405

Complements

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

N	H ≅ G/N	type
4. #13130650	C₂	semidirect
5. C₄×#88102	C₂	semidirect
13. #11719092	C₄	semidirect
14. C₂×#88102	C₄	semidirect
22. C₁₃×#405	C₄	semidirect
23. #11718783	C₄	semidirect
24. #11718762	C₄	semidirect
25. #11718658	C₄	semidirect
26. #11718369	C₄	semidirect
28. #11718350	C₄	semidirect
68. #88102	C₂×C₄	semidirect
69. #88101	C₂×C₄	semidirect
70. C₁₃×#97	C₂×C₄	semidirect
71. C₄×C₈×C₁₃	C₂×C₄	semidirect
72. #88055	C₂×C₄	semidirect
73. #88055	C₂×C₄	semidirect
74. C₈×Dic₁₃	C₂×C₄	semidirect
75. C₈×Dic₁₃	C₂×C₄	semidirect
76. #88043	C₂×C₄	semidirect
77. C₄×#1055	C₂×C₄	semidirect
104. C₂×C₈×C₁₃	C₄²	semidirect
118. C₂×#1055	C₄²	semidirect
125. C₈×D₁₃	C₄²	semidirect
126. C₈×D₁₃	C₄²	semidirect
195. #405	#261	semidirect
265. #97	C₂×#261	semidirect
269. C₄×C₈	C₂×#261	semidirect
309. C₂×C₈	C₄×#261	semidirect
330. C₁₃	#20455	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719092	2
C₂²×#88102	2
#13131273	2
#13130650	2
C₄×#88102	2
#13130524	2
D₁₃×#405	2
#20455	13