Subgroups — #15850769

Order 3328.

784 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13125980	C₂	1	1	yes	maximal, characteristic, complemented
2	#13125761	C₂	1	1	yes	maximal, characteristic
3	#13125395	C₂	1	1	yes	maximal, characteristic
4	#13125378	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125293	C₂	1	1	yes	maximal, characteristic
6	#13114468	C₂	1	2	yes	maximal, complemented
7	#13114461	C₂	1	2	yes	maximal, complemented
8	#13114431	C₂	1	2	yes	maximal, complemented
9	#13114424	C₂	1	2	yes	maximal, complemented
10	C₈×#6099	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₃×#498	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
14	C₂×#88196	—	2	2	no	—
15	#11719182	C₂²	1	1	yes	characteristic
16	#11719175	C₂²	1	1	yes	characteristic
17	C₁₃×#498	—	2	2	no	—
18	C₁₃×#498	C₂²	1	2	yes	—
19	C₁₃×#498	C₂²	1	2	yes	—
20	C₂×C₁₃×#106	—	2	2	no	—
21	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
22	#11718888	—	2	2	no	—
23	#11718775	—	2	2	no	—
24	#11718755	—	2	2	no	—
25	#11718754	C₂²	1	2	yes	—
26	#11718753	C₂²	1	2	yes	—
27	#11718747	—	2	2	no	—
28	#11718746	C₂²	1	2	yes	—
29	#11718746	C₂²	1	2	yes	—
30	#11718744	—	2	2	no	—
31	#11718742	C₂²	1	2	yes	—
32	#11718741	—	2	2	no	—
33	#11718740	C₂²	1	2	yes	—
34	#11718740	C₂²	1	2	yes	—
35	#11718739	C₂²	1	2	yes	—
36	#11718632	—	2	2	no	—
37	#11718625	—	2	2	no	—
38	#11718586	C₂²	1	1	yes	characteristic
39	C₄×#6099	C₂²	1	1	yes	characteristic
40	#11718355	C₂²	1	1	yes	characteristic
41	#11718354	C₂²	1	1	yes	characteristic
42	C₄×#6095	—	2	2	no	—
43	#11718342	C₂²	1	1	yes	characteristic
44	#11718341	C₂²	1	1	yes	characteristic
45	#11718046	C₂²	1	2	yes	—
46	C₈×#1055	C₂²	1	2	yes	—
47	C₂²×Q₈×C₁₃	—	2	1	no	—
48	C₂²×Q₈×C₁₃	—	2	1	no	—
49	C₂×#6127	—	2	1	no	—
50	C₂²×C₈×C₁₃	D₄	1	2	yes	—
51	C₁₃×C₄⋊Q₈	—	2	1	no	—
52	C₁₃×C₄⋊Q₈	—	2	1	no	—
53	C₁₃×C₄⋊Q₈	—	2	1	no	—
54	C₁₃×C₄⋊Q₈	—	2	1	no	—
55	C₁₃×C₄⋊Q₈	—	2	1	no	—
56	C₁₃×C₄⋊Q₈	—	2	1	no	—
57	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
58	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
59	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
60	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
61	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
62	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
63	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
64	C₂×#6107	—	2	4	no	—
65	#88196	—	4	8	no	—
66	C₂×#6106	—	2	4	no	—
67	C₂×#6106	—	2	4	no	—
68	#88184	—	2	1	no	—
69	#88184	—	2	1	no	—
70	#88180	—	2	1	no	—
71	#88178	—	2	1	no	—
72	#88178	—	2	1	no	—
73	C₂×#6099	D₄	1	2	yes	—
74	C₂×#6095	—	2	2	no	—
75	#88129	—	2	1	no	—
76	#88128	C₂³	1	1	yes	characteristic
77	C₄×D₅₂	—	2	1	no	—
78	C₄×D₅₂	—	2	1	no	—
79	#88124	—	2	1	no	—
80	#88123	C₂³	1	1	yes	characteristic
81	#88123	C₂³	1	1	yes	characteristic
82	#88123	C₂³	1	1	yes	characteristic
83	C₄×Dic₂₆	—	2	1	no	—
84	C₄×Dic₂₆	—	2	1	no	—
85	C₁₃×#106	—	2	4	no	—
86	C₁₃×#106	—	2	4	no	—
87	C₄×C₈×C₁₃	D₄	1	2	yes	—
88	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
89	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
90	#88075	—	2	4	no	—
91	C₂²⋊#1055	D₄	1	2	yes	—
92	#88061	—	2	2	no	—
93	#88057	—	2	2	no	—
94	#88056	—	2	2	no	—
95	#88050	—	2	4	no	—
96	#88048	—	2	4	no	—
97	#88048	—	2	4	no	—
98	#88047	—	2	4	no	—
99	C₄⋊#1055	D₄	1	2	yes	—
100	#88043	D₄	1	2	yes	—
101	C₄×#1055	C₂³	1	2	yes	—
102	C₄×#1055	C₂³	1	2	yes	—
103	#19622	—	13	1	no	maximal, Sylow
104	C₂×Q₈×C₁₃	—	2	2	no	—
105	C₂×Q₈×C₁₃	—	2	2	no	—
106	C₂×Q₈×C₁₃	—	4	1	no	—
107	C₂×Q₈×C₁₃	—	4	1	no	—
108	C₂×Q₈×C₁₃	—	4	4	no	—
109	C₂×Q₈×C₁₃	—	8	2	no	—
110	C₂²×C₄×C₁₃	—	4	1	no	—
111	C₂²×C₄×C₁₃	—	4	1	no	—
112	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
113	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
114	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₂²⋊D₁₃	—	4	1	no	—
116	#6127	—	4	4	no	—
117	C₂×D₅₂	—	2	1	no	—
118	C₂×D₅₂	—	2	1	no	—
119	C₂×D₅₂	—	2	1	no	—
120	C₂×C₄×D₁₃	—	4	1	no	—
121	C₂×Dic₂₆	—	2	1	no	—
122	C₂×Dic₂₆	—	2	1	no	—
123	C₂×Dic₂₆	—	2	1	no	—
124	C₂×C₈×C₁₃	—	2	4	no	—
125	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
126	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
127	C₁₃×C₄⋊C₄	—	2	2	no	—
128	C₁₃×C₄⋊C₄	—	2	2	no	—
129	C₁₃×C₄⋊C₄	—	2	2	no	—
130	C₁₃×C₄⋊C₄	—	2	2	no	—
131	C₁₃×C₄⋊C₄	—	4	1	no	—
132	C₁₃×C₄⋊C₄	—	4	1	no	—
133	C₁₃×C₄⋊C₄	—	4	1	no	—
134	C₁₃×C₄⋊C₄	—	4	1	no	—
135	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
136	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
137	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
138	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
139	C₂²⋊Dic₁₃	—	4	1	no	—
140	#6107	—	4	8	no	—
141	#6106	—	4	8	no	—
142	#6106	—	8	4	no	—
143	#6103	—	4	1	no	—
144	#6103	—	4	1	no	—
145	C₄⋊Dic₁₃	—	2	1	no	—
146	C₄⋊Dic₁₃	—	2	1	no	—
147	C₄⋊Dic₁₃	—	2	1	no	—
148	C₄⋊Dic₁₃	—	2	1	no	—
149	C₄⋊Dic₁₃	—	2	1	no	—
150	C₄⋊Dic₁₃	—	2	1	no	—
151	#6101	—	4	1	no	—
152	#6101	—	4	1	no	—
153	C₄×Dic₁₃	—	4	1	no	—
154	#6099	SD₁₆	1	8	yes	complemented
155	C₂×#1055	C₂×D₄	1	4	yes	—
156	C₂×#1055	C₂×D₄	1	4	yes	—
157	#6095	—	4	4	no	—
158	#3229	—	13	1	no	—
159	#3206	—	13	1	no	—
160	#3167	—	13	1	no	—
161	#3165	—	13	1	no	—
162	C₂×#498	D₁₃	1	1	yes	characteristic, complemented
163	#3152	—	13	1	no	—
164	#1716	—	13	2	no	—
165	#1714	—	13	2	no	—
166	#1707	—	13	2	no	—
167	#1705	—	13	2	no	—
168	C₈×M₁₆	—	13	1	no	—
169	C₂³×C₁₃	#127	1	1	yes	characteristic
170	C₂²×D₁₃	—	4	1	no	—
171	Q₈×C₁₃	—	4	4	no	—
172	Q₈×C₁₃	—	4	4	no	—
173	Q₈×C₁₃	—	8	2	no	—
174	Q₈×C₁₃	—	8	2	no	—
175	C₂×C₄×C₁₃	—	2	2	no	—
176	C₂×C₄×C₁₃	—	2	2	no	—
177	C₂×C₄×C₁₃	—	4	2	no	—
178	C₂×C₄×C₁₃	—	4	2	no	—
179	C₂×C₄×C₁₃	—	8	2	no	—
180	C₂×C₄×C₁₃	—	8	2	no	—
181	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
182	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
183	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
184	C₂×C₄×C₁₃	C₂×SD₁₆	1	4	yes	—
185	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
186	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
187	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
188	C₂²⋊D₁₃	—	8	2	no	—
189	C₂×Dic₁₃	—	4	1	no	—
190	C₂×Dic₁₃	—	4	1	no	—
191	C₂×Dic₁₃	—	4	1	no	—
192	D₅₂	—	4	2	no	—
193	D₅₂	—	4	2	no	—
194	D₅₂	—	4	2	no	—
195	C₄×D₁₃	—	8	2	no	—
196	Dic₂₆	—	4	2	no	—
197	Dic₂₆	—	4	2	no	—
198	Dic₂₆	—	4	2	no	—
199	C₈×C₁₃	—	2	2	no	—
200	C₈×C₁₃	#137	1	4	yes	complemented
201	#1055	—	2	4	no	—
202	#1055	C₂×SD₁₆	1	8	yes	—
203	C₂×#137	—	26	2	no	—
204	#533	—	13	1	no	—
205	#532	—	13	1	no	—
206	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
207	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
208	#501	—	26	2	no	—
209	#500	—	13	2	no	—
210	#498	—	2	2	no	—
211	#498	—	13	2	no	—
212	#498	—	13	2	no	—
213	#498	—	13	1	no	—
214	#498	C₂×D₁₃	1	2	yes	—
215	#498	C₂×D₁₃	1	2	yes	—
216	#497	—	26	2	no	—
217	#494	—	13	2	no	—
218	#492	—	13	2	no	—
219	#492	—	13	2	no	—
220	#492	—	13	1	no	—
221	#487	—	13	2	no	—
222	#487	—	13	2	no	—
223	#487	—	13	1	no	—
224	#486	—	13	1	no	—
225	#483	—	26	2	no	—
226	#475	—	26	2	no	—
227	#465	—	26	2	no	—
228	#461	—	26	2	no	—
229	#448	—	26	2	no	—
230	C₄×SD₁₆	—	26	2	no	—
231	#431	—	13	1	no	—
232	#428	—	26	2	no	—
233	C₂×#106	—	2	2	no	—
234	C₄×M₁₆	—	13	1	no	—
235	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
236	#322	—	13	2	no	—
237	C₈²	—	13	2	no	—
238	C₂²×C₁₃	—	2	1	no	—
239	C₂²×C₁₃	—	2	1	no	—
240	C₂²×C₁₃	#492	1	2	yes	—
241	C₂²×C₁₃	C₂×#127	1	1	yes	characteristic
242	C₂×D₁₃	—	8	1	no	—
243	C₂×D₁₃	—	8	1	no	—
244	C₂×D₁₃	—	8	1	no	—
245	C₄×C₁₃	—	2	1	no	—
246	C₄×C₁₃	—	2	1	no	—
247	C₄×C₁₃	—	8	2	no	—
248	C₄×C₁₃	—	8	2	no	—
249	C₄×C₁₃	#492	1	2	yes	—
250	C₄×C₁₃	C₂²×SD₁₆	1	2	yes	—
251	C₄×C₁₃	C₂×#137	1	2	yes	—
252	C₄×C₁₃	#577	1	2	yes	—
253	Dic₁₃	—	8	1	no	—
254	Dic₁₃	—	8	1	no	—
255	Dic₁₃	—	8	1	no	—
256	C₂×#41	—	26	1	no	—
257	C₂²×Q₈	—	2	1	no	—
258	C₂²×Q₈	—	2	1	no	—
259	#137	—	52	8	no	—
260	C₂×Q₁₆	—	26	4	no	—
261	C₂×SD₁₆	—	26	4	no	—
262	C₂×SD₁₆	—	26	4	no	—
263	C₂×SD₁₆	—	26	2	no	—
264	C₂×M₁₆	—	13	2	no	—
265	C₂²×C₈	C₂²⋊D₁₃	1	2	yes	—
266	C₄⋊Q₈	—	2	1	no	—
267	C₄⋊Q₈	—	2	1	no	—
268	C₄⋊Q₈	—	2	1	no	—
269	C₄⋊Q₈	—	2	1	no	—
270	C₄⋊Q₈	—	2	1	no	—
271	C₄⋊Q₈	—	2	1	no	—
272	C₄⋊Q₈	—	13	1	no	—
273	C₄⋊Q₈	—	13	1	no	—
274	C₄⋊Q₈	—	13	1	no	—
275	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	—
276	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	—
277	#127	—	13	1	no	—
278	#125	—	26	1	no	—
279	#124	—	26	1	no	—
280	C₂²⋊Q₈	—	26	1	no	—
281	C₂²⋊Q₈	—	26	1	no	—
282	#121	—	26	1	no	—
283	#121	—	26	1	no	—
284	C₄×Q₈	—	26	1	no	—
285	C₄×Q₈	—	26	1	no	—
286	C₄×D₄	—	26	1	no	—
287	C₄×D₄	—	26	1	no	—
288	#117	—	26	1	no	—
289	C₂×C₄⋊C₄	—	2	1	no	—
290	C₂×C₄⋊C₄	—	2	1	no	—
291	C₂×C₄⋊C₄	—	2	1	no	—
292	C₂×C₄⋊C₄	—	2	1	no	—
293	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
294	#107	—	26	4	no	—
295	#106	—	2	4	no	—
296	#106	—	2	4	no	—
297	#106	—	26	4	no	—
298	#106	—	26	4	no	—
299	#106	—	26	2	no	—
300	C₄⋊C₈	—	13	2	no	—
301	#103	—	26	4	no	—
302	#103	—	26	4	no	—
303	#103	—	26	2	no	—
304	#102	—	26	2	no	—
305	C₂²⋊C₈	—	13	2	no	—
306	#97	—	13	2	no	—
307	C₄×C₈	—	13	2	no	—
308	C₄×C₈	—	13	2	no	—
309	C₄×C₈	C₂²⋊D₁₃	1	2	yes	—
310	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
311	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
312	C₂×C₁₃	—	2	2	no	—
313	C₂×C₁₃	C₂×#492	1	1	yes	characteristic
314	C₂×C₁₃	#3152	1	1	yes	characteristic
315	C₂×C₁₃	#3154	1	1	yes	characteristic
316	D₁₃	—	16	1	no	—
317	#41	—	52	4	no	—
318	C₂×Q₈	—	2	2	no	—
319	C₂×Q₈	—	2	2	no	—
320	C₂×Q₈	—	4	1	no	—
321	C₂×Q₈	—	4	1	no	—
322	C₂×Q₈	—	4	4	no	—
323	C₂×Q₈	—	8	2	no	—
324	C₂×Q₈	—	26	1	no	—
325	C₂×Q₈	—	26	1	no	—
326	C₂×Q₈	—	26	1	no	—
327	C₂×D₄	—	26	1	no	—
328	C₂×D₄	—	26	1	no	—
329	C₂×D₄	—	26	1	no	—
330	C₂×D₄	—	52	1	no	—
331	C₂²×C₄	—	4	1	no	—
332	C₂²×C₄	—	4	1	no	—
333	C₂²×C₄	—	52	1	no	—
334	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
335	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
336	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
337	Q₁₆	—	52	8	no	—
338	SD₁₆	—	52	8	no	—
339	SD₁₆	—	52	4	no	—
340	SD₁₆	—	104	4	no	—
341	M₁₆	—	13	8	no	—
342	C₂×C₈	—	2	4	no	—
343	C₂×C₈	—	13	4	no	—
344	C₂×C₈	—	13	4	no	—
345	C₂×C₈	C₂×C₂²⋊D₁₃	1	2	yes	—
346	C₂×C₈	C₂×C₂²⋊D₁₃	1	2	yes	—
347	C₄⋊C₄	—	2	2	no	—
348	C₄⋊C₄	—	2	2	no	—
349	C₄⋊C₄	—	2	2	no	—
350	C₄⋊C₄	—	2	2	no	—
351	C₄⋊C₄	—	4	1	no	—
352	C₄⋊C₄	—	4	1	no	—
353	C₄⋊C₄	—	4	1	no	—
354	C₄⋊C₄	—	4	1	no	—
355	C₄⋊C₄	—	26	1	no	—
356	C₄⋊C₄	—	26	1	no	—
357	C₄⋊C₄	—	26	1	no	—
358	C₄⋊C₄	—	26	1	no	—
359	C₄⋊C₄	—	26	1	no	—
360	C₄⋊C₄	—	26	1	no	—
361	C₄⋊C₄	—	52	1	no	—
362	C₄⋊C₄	—	52	1	no	—
363	C₂²⋊C₄	—	52	1	no	—
364	C₂²⋊C₄	—	52	1	no	—
365	C₂²⋊C₄	—	52	1	no	—
366	C₄²	—	52	1	no	—
367	C₄²	D₄×D₁₃	1	1	yes	characteristic
368	C₄²	D₄×D₁₃	1	1	yes	characteristic
369	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
370	C₄²	C₂³×D₁₃	1	1	yes	characteristic
371	C₁₃	#19622	1	1	yes	characteristic, complemented, Sylow
372	C₂³	—	52	1	no	—
373	C₂³	#88194	1	1	yes	characteristic
374	Q₈	—	4	4	no	—
375	Q₈	—	4	4	no	—
376	Q₈	—	8	2	no	—
377	Q₈	—	8	2	no	—
378	Q₈	—	52	2	no	—
379	Q₈	—	52	2	no	—
380	Q₈	—	52	2	no	—
381	D₄	—	52	2	no	—
382	D₄	—	52	2	no	—
383	D₄	—	52	2	no	—
384	D₄	—	104	2	no	—
385	C₂×C₄	—	2	2	no	—
386	C₂×C₄	—	2	2	no	—
387	C₂×C₄	—	4	2	no	—
388	C₂×C₄	—	4	2	no	—
389	C₂×C₄	—	8	2	no	—
390	C₂×C₄	—	8	2	no	—
391	C₂×C₄	—	52	1	no	—
392	C₂×C₄	—	52	1	no	—
393	C₂×C₄	—	52	1	no	—
394	C₂×C₄	—	104	2	no	—
395	C₂×C₄	SD₁₆×D₁₃	1	4	yes	—
396	C₂×C₄	#88194	1	1	yes	characteristic
397	C₂×C₄	#88194	1	1	yes	characteristic
398	C₂×C₄	#88194	1	1	yes	characteristic
399	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
400	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
401	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
402	C₈	—	2	2	no	—
403	C₈	—	13	8	no	—
404	C₈	—	26	4	no	—
405	C₈	#88196	1	4	yes	complemented
406	C₂²	—	2	1	no	—
407	C₂²	—	2	1	no	—
408	C₂²	—	104	1	no	—
409	C₂²	—	104	1	no	—
410	C₂²	—	104	1	no	—
411	C₂²	#11718836	1	2	yes	—
412	C₂²	C₂×#88194	1	1	yes	characteristic
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	8	2	no	—
416	C₄	—	8	2	no	—
417	C₄	—	104	1	no	—
418	C₄	—	104	1	no	—
419	C₄	—	104	1	no	—
420	C₄	#11718836	1	2	yes	—
421	C₄	C₂×SD₁₆×D₁₃	1	2	yes	—
422	C₄	#11719467	1	2	yes	—
423	C₄	C₂×#88196	1	2	yes	—
424	C₂	—	2	2	no	—
425	C₂	—	208	1	no	—
426	C₂	C₂×#11718836	1	1	yes	characteristic
427	C₂	#13125293	1	1	yes	characteristic
428	C₂	#13125306	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#88194
commutator, cosocle	C₄²×C₁₃	C₂⁴
Frattini	C₄²	C₂³×D₁₃
Fitting	C₂×C₁₃×#498	C₂
socle	C₂²×C₁₃	C₂×#127
prime radical	#11719182	C₂²
hypercenter	C₂×#498	D₁₃
hypocenter	C₁₃	#19622
LCS	G ▷ C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#498

Complements

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

N	H ≅ G/N	type
1. #13125980	C₂	semidirect
4. #13125378	C₂	semidirect
6. #13114468	C₂	semidirect
7. #13114461	C₂	semidirect
8. #13114431	C₂	semidirect
9. #13114424	C₂	semidirect
10. C₈×#6099	C₂	semidirect
11. C₂×C₁₃×#498	C₂	semidirect
154. #6099	SD₁₆	semidirect
162. C₂×#498	D₁₃	semidirect
200. C₈×C₁₃	#137	semidirect
371. C₁₃	#19622	semidirect
405. C₈	#88196	semidirect

Maximal subgroups

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

subgroup	index
#13125980	2
#13125761	2
#13125395	2
#13125378	2
#13125293	2
#13114468	2
#13114461	2
#13114431	2
#13114424	2
C₈×#6099	2
C₂×C₁₃×#498	2
#19622	13