Subgroups — #15846073

Order 3328.

726 conjugacy classes of subgroups.

The subgroup lattice has 426 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13125761	C₂	1	1	yes	maximal, characteristic, complemented
2	#13125754	C₂	1	1	yes	maximal, characteristic
3	#13123549	C₂	1	1	yes	maximal, characteristic, complemented
4	#13114394	C₂	1	4	yes	maximal, complemented
5	#13114270	C₂	1	4	yes	maximal, complemented
6	#13113584	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113521	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113504	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#486	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
12	C₂×#88155	—	2	1	no	—
13	#11719182	C₂²	1	1	yes	characteristic
14	C₁₃×#486	—	2	1	no	—
15	C₁₃×#486	—	2	1	no	—
16	C₁₃×#486	C₂²	1	2	yes	—
17	C₁₃×#486	C₂²	1	2	yes	—
18	C₂×C₁₃×#102	—	2	1	no	—
19	C₂×C₁₃×#102	—	2	1	no	—
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	#11718888	—	2	2	no	—
22	#11718878	—	2	2	no	—
23	#11718771	—	2	1	no	—
24	#11718746	—	2	1	no	—
25	#11718744	C₂²	1	4	yes	complemented
26	#11718742	—	2	1	no	—
27	#11718734	—	2	1	no	—
28	#11718733	C₂²	1	4	yes	—
29	#11718731	—	2	1	no	—
30	#11718586	C₂²	1	1	yes	characteristic
31	#11718586	C₂²	1	1	yes	characteristic
32	#11718585	C₂²	1	1	yes	characteristic
33	#11718349	—	2	1	no	—
34	#11718349	C₂²	1	2	yes	complemented
35	C₈×D₅₂	—	2	1	no	—
36	C₈×D₅₂	C₂²	1	2	yes	complemented
37	#11718139	C₂²	1	4	yes	complemented
38	#11718136	C₂²	1	4	yes	—
39	#11718050	C₂²	1	2	yes	complemented
40	#11718049	C₂²	1	2	yes	complemented
41	C₂²×Q₈×C₁₃	—	2	1	no	—
42	C₂²×D₄×C₁₃	—	2	1	no	—
43	C₂²×D₄×C₁₃	—	2	1	no	—
44	C₂²×D₄×C₁₃	—	2	1	no	—
45	C₂×#6127	—	2	1	no	—
46	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
48	C₁₃×C₄⋊Q₈	—	2	1	no	—
49	C₁₃×C₄⋊Q₈	—	2	1	no	—
50	C₁₃×C₄⋊Q₈	—	2	1	no	—
51	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
52	C₁₃×#127	—	2	1	no	—
53	C₁₃×#127	—	2	1	no	—
54	C₁₃×#127	—	2	1	no	—
55	C₁₃×#127	C₂³	1	2	yes	—
56	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
57	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
58	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
59	C₂×#6106	—	2	4	no	—
60	C₂×#6104	—	2	4	no	—
61	#88184	—	2	1	no	—
62	#88184	D₄	1	2	yes	—
63	C₂×#6099	—	2	1	no	—
64	#88155	—	4	4	no	—
65	C₂×#6094	—	2	2	no	—
66	C₂×C₈×D₁₃	—	2	2	no	—
67	#88129	—	2	1	no	—
68	#88128	D₄	1	1	yes	characteristic
69	C₄×D₅₂	—	2	1	no	—
70	C₄×D₅₂	C₂³	1	2	yes	—
71	#88123	D₄	1	1	yes	characteristic
72	C₁₃×#102	—	2	2	no	—
73	C₁₃×#102	—	2	2	no	—
74	C₁₃×#102	—	2	2	no	—
75	C₁₃×#102	—	2	2	no	—
76	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
77	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
78	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
79	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
80	#88075	—	2	4	no	—
81	#88072	—	2	4	no	—
82	C₂²⋊#1055	—	2	1	no	—
83	C₂²⋊#1055	—	2	1	no	—
84	#88060	—	2	2	no	—
85	#88060	—	2	2	no	—
86	C₄⋊#1055	—	2	1	no	—
87	C₄⋊#1055	C₂³	1	2	yes	—
88	C₄⋊#1055	C₂³	1	2	yes	—
89	C₄⋊#1055	C₂³	1	2	yes	—
90	C₄×#1055	—	2	1	no	—
91	C₄×#1055	—	2	1	no	—
92	#19198	—	13	1	no	maximal, Sylow
93	C₂⁴×C₁₃	—	4	1	no	—
94	C₂×Q₈×C₁₃	—	2	2	no	—
95	C₂×Q₈×C₁₃	—	4	1	no	—
96	C₂×Q₈×C₁₃	—	8	2	no	—
97	C₂×D₄×C₁₃	—	2	2	no	—
98	C₂×D₄×C₁₃	—	2	2	no	—
99	C₂×D₄×C₁₃	—	2	2	no	—
100	C₂×D₄×C₁₃	—	4	1	no	—
101	C₂×D₄×C₁₃	—	4	1	no	—
102	C₂×D₄×C₁₃	—	4	1	no	—
103	C₂×D₄×C₁₃	—	4	2	no	—
104	C₂×D₄×C₁₃	—	4	2	no	—
105	C₂×D₄×C₁₃	—	8	2	no	—
106	C₂×D₄×C₁₃	—	8	2	no	—
107	C₂²×C₄×C₁₃	—	4	1	no	—
108	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
111	C₂×C₂²⋊D₁₃	—	2	2	no	—
112	#6127	—	4	2	no	—
113	#6127	—	4	2	no	—
114	C₂×D₅₂	—	2	1	no	—
115	C₂×D₅₂	—	2	1	no	—
116	C₂×D₅₂	C₂×D₄	1	2	yes	—
117	C₂×C₄×D₁₃	—	2	2	no	—
118	C₂×Dic₂₆	—	2	1	no	—
119	C₂×C₈×C₁₃	—	2	2	no	—
120	C₂×C₈×C₁₃	—	2	2	no	—
121	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
124	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₁₃×C₄⋊C₄	—	2	2	no	—
126	C₁₃×C₄⋊C₄	—	2	2	no	—
127	C₁₃×C₄⋊C₄	—	4	1	no	—
128	C₁₃×C₄⋊C₄	—	4	1	no	—
129	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₁₃	#41	1	1	yes	characteristic
132	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
133	#6106	—	8	4	no	—
134	#6104	—	8	4	no	—
135	#6103	—	2	2	no	—
136	#6103	—	2	2	no	—
137	C₄⋊Dic₁₃	—	2	1	no	—
138	C₄⋊Dic₁₃	C₂×D₄	1	2	yes	—
139	#6099	—	4	2	no	—
140	C₂×#1055	—	2	2	no	—
141	C₂×#1055	—	2	2	no	—
142	C₂×#1055	—	2	2	no	—
143	#6094	—	4	4	no	—
144	C₈×D₁₃	—	4	4	no	—
145	#3206	—	13	1	no	—
146	#3205	—	13	1	no	—
147	C₂×#486	D₁₃	1	1	yes	characteristic, complemented
148	#2931	—	13	1	no	—
149	#1701	—	13	4	no	—
150	#1681	—	13	4	no	—
151	#1564	—	13	1	no	—
152	#1549	—	13	1	no	—
153	#1545	—	13	1	no	—
154	C₂³×C₁₃	—	4	2	no	—
155	C₂³×C₁₃	—	8	2	no	—
156	C₂³×C₁₃	—	8	2	no	—
157	C₂³×C₁₃	—	8	2	no	—
158	C₂³×C₁₃	#121	1	1	yes	characteristic
159	C₂²×D₁₃	—	2	2	no	—
160	Q₈×C₁₃	—	4	4	no	—
161	Q₈×C₁₃	—	8	2	no	—
162	D₄×C₁₃	—	4	2	no	—
163	D₄×C₁₃	—	4	2	no	—
164	D₄×C₁₃	—	4	4	no	—
165	D₄×C₁₃	—	8	2	no	—
166	D₄×C₁₃	—	8	2	no	—
167	D₄×C₁₃	—	8	2	no	—
168	D₄×C₁₃	—	8	2	no	—
169	C₂×C₄×C₁₃	—	2	2	no	—
170	C₂×C₄×C₁₃	—	2	2	no	—
171	C₂×C₄×C₁₃	—	4	2	no	—
172	C₂×C₄×C₁₃	—	8	2	no	—
173	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
174	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
175	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
176	C₂×C₄×C₁₃	#135	1	2	yes	—
177	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
178	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
179	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
180	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
181	C₂²⋊D₁₃	—	4	4	no	—
182	C₂×Dic₁₃	—	2	2	no	—
183	D₅₂	—	2	4	no	—
184	D₅₂	—	4	2	no	—
185	D₅₂	—	4	2	no	—
186	C₄×D₁₃	—	4	2	no	—
187	C₄×D₁₃	—	4	2	no	—
188	Dic₂₆	—	4	2	no	—
189	C₈×C₁₃	—	2	1	no	—
190	C₈×C₁₃	—	2	1	no	—
191	C₈×C₁₃	—	2	1	no	—
192	C₈×C₁₃	—	2	1	no	—
193	#1055	—	4	2	no	—
194	#1055	—	4	2	no	—
195	#1055	—	4	2	no	—
196	C₂×#131	—	26	1	no	—
197	#532	—	13	1	no	—
198	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
199	C₂×#127	C₂×D₁₃	1	1	yes	characteristic
200	#493	—	26	1	no	—
201	#492	—	26	1	no	—
202	#487	—	26	1	no	—
203	#486	—	2	1	no	—
204	#486	—	2	1	no	—
205	#486	—	26	1	no	—
206	#486	C₂×D₁₃	1	2	yes	—
207	#486	C₂×D₁₃	1	2	yes	—
208	#461	—	13	4	no	—
209	#459	—	13	4	no	—
210	#448	—	26	2	no	—
211	#447	—	26	2	no	—
212	#436	—	13	2	no	—
213	#436	—	26	1	no	—
214	C₈×D₄	—	13	2	no	—
215	C₈×D₄	—	26	1	no	—
216	#431	—	13	1	no	—
217	#431	—	13	1	no	—
218	#423	—	13	1	no	—
219	C₂×#102	—	2	1	no	—
220	C₂×#102	—	2	1	no	—
221	#408	—	26	1	no	—
222	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
223	#335	—	13	2	no	—
224	#334	—	13	2	no	—
225	#332	—	13	4	no	—
226	#331	—	13	4	no	—
227	C₂²×C₁₃	—	2	1	no	—
228	C₂²×C₁₃	—	2	1	no	—
229	C₂²×C₁₃	—	8	2	no	—
230	C₂²×C₁₃	—	8	2	no	—
231	C₂²×C₁₃	—	8	2	no	—
232	C₂²×C₁₃	—	16	4	no	—
233	C₂²×C₁₃	#463	1	2	yes	—
234	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
235	C₂×D₁₃	—	4	2	no	—
236	C₂×D₁₃	—	4	2	no	—
237	C₂×D₁₃	—	4	2	no	—
238	C₄×C₁₃	—	2	1	no	—
239	C₄×C₁₃	—	2	1	no	—
240	C₄×C₁₃	—	8	2	no	—
241	C₄×C₁₃	#463	1	2	yes	—
242	C₄×C₁₃	#471	1	2	yes	—
243	C₄×C₁₃	C₂×#135	1	1	yes	characteristic
244	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
245	C₄×C₁₃	#576	1	2	yes	—
246	Dic₁₃	—	4	2	no	—
247	C₂×#41	—	26	1	no	—
248	C₂²×Q₈	—	2	1	no	—
249	C₂²×D₄	—	2	1	no	—
250	C₂²×D₄	—	2	1	no	—
251	C₂²×D₄	—	2	1	no	—
252	C₂×SD₁₆	—	26	4	no	—
253	C₂×D₈	—	26	4	no	—
254	#131	—	52	4	no	—
255	C₂×M₁₆	—	26	1	no	—
256	C₂×M₁₆	—	26	2	no	—
257	C₂²×C₈	—	26	2	no	—
258	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
259	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
260	C₄⋊Q₈	—	2	1	no	—
261	C₄⋊Q₈	—	2	1	no	—
262	C₄⋊Q₈	—	2	1	no	—
263	C₄⋊Q₈	—	13	1	no	—
264	C₄⋊Q₈	C₂²×D₁₃	1	2	yes	—
265	#127	—	2	1	no	—
266	#127	—	2	1	no	—
267	#127	—	2	1	no	—
268	#127	—	13	1	no	—
269	#127	C₂²×D₁₃	1	2	yes	—
270	#124	—	26	1	no	—
271	#121	—	13	2	no	—
272	#121	—	26	1	no	—
273	C₄×D₄	—	13	2	no	—
274	C₄×D₄	—	26	1	no	—
275	C₂×C₄⋊C₄	—	2	1	no	—
276	C₂×C₄⋊C₄	—	2	1	no	—
277	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
278	C₄⋊C₈	—	13	2	no	—
279	C₄⋊C₈	—	13	2	no	—
280	C₄⋊C₈	—	13	2	no	—
281	C₄⋊C₈	—	26	1	no	—
282	#103	—	26	4	no	—
283	#102	—	2	2	no	—
284	#102	—	2	2	no	—
285	#102	—	2	2	no	—
286	#102	—	2	2	no	—
287	#102	—	26	4	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	C₄×C₈	—	26	1	no	—
293	C₄×C₈	—	26	1	no	—
294	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
295	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
296	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
297	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
298	C₂×C₁₃	—	2	2	no	—
299	C₂×C₁₃	—	16	2	no	—
300	C₂×C₁₃	C₂×#463	1	1	yes	characteristic
301	C₂×C₁₃	#3058	1	1	yes	characteristic
302	C₂×C₁₃	C₂×#471	1	1	yes	characteristic
303	D₁₃	—	8	2	no	—
304	C₂⁴	—	4	1	no	—
305	#41	—	52	2	no	—
306	#41	—	52	2	no	—
307	C₂×Q₈	—	2	2	no	—
308	C₂×Q₈	—	4	1	no	—
309	C₂×Q₈	—	8	2	no	—
310	C₂×Q₈	—	26	1	no	—
311	C₂×D₄	—	2	2	no	—
312	C₂×D₄	—	2	2	no	—
313	C₂×D₄	—	2	2	no	—
314	C₂×D₄	—	4	1	no	—
315	C₂×D₄	—	4	1	no	—
316	C₂×D₄	—	4	1	no	—
317	C₂×D₄	—	4	2	no	—
318	C₂×D₄	—	4	2	no	—
319	C₂×D₄	—	8	2	no	—
320	C₂×D₄	—	8	2	no	—
321	C₂×D₄	—	13	2	no	—
322	C₂×D₄	—	26	2	no	—
323	C₂×D₄	—	26	1	no	—
324	C₂×D₄	—	26	1	no	—
325	C₂²×C₄	—	4	1	no	—
326	C₂²×C₄	—	26	2	no	—
327	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
328	C₂²×C₄	#6129	1	1	yes	characteristic
329	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
330	SD₁₆	—	104	4	no	—
331	D₈	—	104	4	no	—
332	M₁₆	—	52	4	no	—
333	M₁₆	—	52	2	no	—
334	C₂×C₈	—	2	2	no	—
335	C₂×C₈	—	2	2	no	—
336	C₂×C₈	—	26	2	no	—
337	C₂×C₈	—	26	2	no	—
338	C₂×C₈	—	26	2	no	—
339	C₂×C₈	—	52	4	no	—
340	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
341	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
342	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
343	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
344	C₄⋊C₄	—	2	2	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	4	1	no	—
347	C₄⋊C₄	—	4	1	no	—
348	C₄⋊C₄	—	13	2	no	—
349	C₄⋊C₄	—	26	1	no	—
350	C₂²⋊C₄	—	26	2	no	—
351	C₂²⋊C₄	—	26	2	no	—
352	C₄²	D₄×D₁₃	1	1	yes	characteristic
353	C₄²	#6129	1	1	yes	characteristic
354	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
355	C₄²	C₂³×D₁₃	1	1	yes	characteristic
356	C₁₃	#19198	1	1	yes	characteristic, complemented, Sylow
357	C₂³	—	4	2	no	—
358	C₂³	—	8	2	no	—
359	C₂³	—	8	2	no	—
360	C₂³	—	8	2	no	—
361	C₂³	—	26	2	no	—
362	C₂³	#88192	1	1	yes	characteristic
363	Q₈	—	4	4	no	—
364	Q₈	—	8	2	no	—
365	Q₈	—	52	2	no	—
366	D₄	—	4	4	no	—
367	D₄	—	4	2	no	—
368	D₄	—	4	2	no	—
369	D₄	—	8	2	no	—
370	D₄	—	8	2	no	—
371	D₄	—	8	2	no	—
372	D₄	—	8	2	no	—
373	D₄	—	26	4	no	—
374	D₄	—	52	4	no	—
375	D₄	—	52	2	no	—
376	D₄	—	52	2	no	—
377	C₂×C₄	—	2	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	4	2	no	—
380	C₂×C₄	—	8	2	no	—
381	C₂×C₄	—	26	2	no	—
382	C₂×C₄	—	52	2	no	—
383	C₂×C₄	—	52	2	no	—
384	C₂×C₄	#88192	1	1	yes	characteristic
385	C₂×C₄	#88192	1	1	yes	characteristic
386	C₂×C₄	#88192	1	1	yes	characteristic
387	C₂×C₄	#88203	1	2	yes	—
388	C₂×C₄	#88204	1	2	yes	—
389	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
390	C₂×C₄	C₂×#6129	1	1	yes	characteristic
391	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
392	C₈	—	2	1	no	—
393	C₈	—	2	1	no	—
394	C₈	—	2	1	no	—
395	C₈	—	2	1	no	—
396	C₈	—	52	2	no	—
397	C₈	—	52	2	no	—
398	C₈	—	52	2	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	8	2	no	—
402	C₂²	—	8	2	no	—
403	C₂²	—	8	2	no	—
404	C₂²	—	16	4	no	—
405	C₂²	—	52	2	no	—
406	C₂²	—	52	2	no	—
407	C₂²	—	52	2	no	—
408	C₂²	#11718718	1	2	yes	—
409	C₂²	C₂×#88192	1	1	yes	characteristic
410	C₄	—	2	1	no	—
411	C₄	—	2	1	no	—
412	C₄	—	8	2	no	—
413	C₄	—	52	2	no	—
414	C₄	#11718718	1	2	yes	—
415	C₄	#11718838	1	2	yes	—
416	C₄	#11719462	1	2	yes	—
417	C₄	C₂×#88203	1	1	yes	characteristic
418	C₄	C₂×#88204	1	1	yes	characteristic
419	C₂	—	2	2	no	—
420	C₂	—	16	2	no	—
421	C₂	—	104	2	no	—
422	C₂	C₂×#11718718	1	1	yes	characteristic
423	C₂	#13124480	1	1	yes	characteristic
424	C₂	C₂×#11718838	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#88192
commutator, cosocle	C₄²×C₁₃	C₂⁴
Frattini	C₄²	C₂³×D₁₃
Fitting	C₂×C₁₃×#486	C₂
socle	C₂²×C₁₃	C₂×#121
prime radical	#13125754	C₂
hypercenter	C₂×#486	D₁₃
hypocenter	C₁₃	#19198
LCS	G ▷ C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#486

Complements

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

N	H ≅ G/N	type
1. #13125761	C₂	semidirect
3. #13123549	C₂	semidirect
4. #13114394	C₂	semidirect
5. #13114270	C₂	semidirect
6. #13113584	C₂	semidirect
7. #13113521	C₂	semidirect
8. #13113504	C₂	semidirect
9. C₂×C₁₃×#486	C₂	semidirect
25. #11718744	C₂²	semidirect
34. #11718349	C₂²	semidirect
36. C₈×D₅₂	C₂²	semidirect
37. #11718139	C₂²	semidirect
39. #11718050	C₂²	semidirect
40. #11718049	C₂²	semidirect
147. C₂×#486	D₁₃	semidirect
356. C₁₃	#19198	semidirect

Maximal subgroups

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

subgroup	index
#13125761	2
#13125754	2
#13123549	2
#13114394	2
#13114270	2
#13113584	2
#13113521	2
#13113504	2
C₂×C₁₃×#486	2
#19198	13