Subgroups — #15833178

Order 3328.

726 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13124832	C₂	1	1	yes	maximal, characteristic
2	C₂×#11718349	C₂	1	1	yes	maximal, characteristic, complemented
3	#13113748	C₂	1	4	yes	maximal, complemented
4	#13113700	C₂	1	4	yes	maximal, complemented
5	#13113608	C₂	1	1	yes	maximal, characteristic, complemented
6	#13113260	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113235	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113128	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2931	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₃×#131	—	2	1	no	—
11	C₁₃×#532	C₂²	1	1	yes	characteristic
12	C₂²×#6094	—	2	1	no	—
13	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
14	C₁₃×#436	—	2	1	no	—
15	C₁₃×#436	C₂²	1	2	yes	complemented
16	C₈×D₄×C₁₃	—	2	1	no	—
17	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
18	C₁₃×#423	C₂²	1	1	yes	characteristic
19	C₁₃×#408	—	2	1	no	—
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×#88060	—	2	1	no	—
22	#11718748	C₄	1	2	yes	—
23	#11718733	C₄	1	2	yes	—
24	#11718697	C₄	1	2	yes	—
25	#11718694	C₄	1	2	yes	—
26	C₄×#6104	C₂²	1	4	yes	—
27	#11718586	C₂²	1	1	yes	characteristic
28	#11718586	C₂²	1	1	yes	characteristic
29	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
30	#11718349	—	2	1	no	—
31	#11718349	—	2	1	no	—
32	#11718349	C₂²	1	2	yes	—
33	#11718349	C₂²	1	2	yes	—
34	D₄⋊#1055	C₂²	1	4	yes	complemented
35	#11718075	C₂²	1	4	yes	—
36	#11718072	C₂²	1	4	yes	complemented
37	#11718046	C₂²	1	2	yes	complemented
38	#11718046	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#41	—	2	1	no	—
40	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₄×D₁₃	—	2	1	no	—
42	C₁₃×#131	—	4	4	no	—
43	C₂×C₁₃×M₁₆	—	2	1	no	—
44	C₂×C₁₃×M₁₆	—	2	2	no	—
45	C₂²×C₈×C₁₃	—	2	2	no	—
46	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
48	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
49	C₁₃×#127	C₂×C₄	1	1	yes	characteristic
50	C₁₃×#124	—	2	1	no	—
51	C₁₃×#121	—	2	1	no	—
52	C₁₃×#121	C₂×C₄	1	2	yes	—
53	C₄×D₄×C₁₃	—	2	1	no	—
54	C₄×D₄×C₁₃	C₂³	1	2	yes	—
55	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
56	C₂×#6104	C₂×C₄	1	4	yes	—
57	C₂×#6103	—	2	1	no	—
58	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
59	C₂²×#1055	—	2	1	no	—
60	C₂×#6094	—	2	2	no	—
61	C₂×#6094	—	2	2	no	—
62	C₂×#6094	—	4	4	no	—
63	C₄×D₅₂	—	2	1	no	—
64	C₄×D₅₂	—	2	1	no	—
65	C₄×D₅₂	C₂×C₄	1	2	yes	—
66	C₄×D₅₂	C₂³	1	2	yes	—
67	C₁₃×C₄⋊C₈	—	2	1	no	—
68	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
69	C₁₃×C₂²⋊C₈	—	2	2	no	—
70	C₁₃×C₂²⋊C₈	—	2	2	no	—
71	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
72	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
73	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
75	#88072	C₂×C₄	1	4	yes	—
76	C₂²⋊#1055	—	2	1	no	—
77	C₂²⋊#1055	C₂×C₄	1	2	yes	—
78	#88060	—	2	2	no	—
79	#88060	—	2	2	no	—
80	#88049	C₂×C₄	1	4	yes	—
81	#88047	C₂×C₄	1	4	yes	—
82	C₄⋊#1055	—	2	1	no	—
83	C₄⋊#1055	—	2	1	no	—
84	C₄⋊#1055	C₂×C₄	1	2	yes	—
85	C₄⋊#1055	C₂³	1	2	yes	—
86	C₄×#1055	C₂³	1	2	yes	—
87	C₄×#1055	C₂³	1	2	yes	—
88	#17935	—	13	1	no	maximal, Sylow
89	C₂³×D₁₃	—	2	1	no	—
90	C₁₃×#41	—	4	2	no	—
91	C₁₃×#41	—	4	2	no	—
92	C₂×Q₈×C₁₃	—	2	1	no	—
93	C₂×D₄×C₁₃	—	2	2	no	—
94	C₂×D₄×C₁₃	—	2	1	no	—
95	C₂×D₄×C₁₃	—	2	1	no	—
96	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
97	C₂²×C₄×C₁₃	—	2	2	no	—
98	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
99	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
101	C₂²×Dic₁₃	—	2	1	no	—
102	C₂×D₅₂	—	2	1	no	—
103	C₂×D₅₂	—	4	2	no	—
104	C₂×D₅₂	C₂²×C₄	1	2	yes	—
105	C₂×C₄×D₁₃	—	2	2	no	—
106	C₂×C₄×D₁₃	—	2	2	no	—
107	C₂×C₄×D₁₃	—	4	2	no	—
108	C₂×C₄×D₁₃	—	4	2	no	—
109	C₁₃×M₁₆	—	4	4	no	—
110	C₁₃×M₁₆	—	4	2	no	—
111	C₂×C₈×C₁₃	—	2	2	no	—
112	C₂×C₈×C₁₃	—	2	2	no	—
113	C₂×C₈×C₁₃	—	2	2	no	—
114	C₂×C₈×C₁₃	—	4	4	no	—
115	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
119	C₁₃×C₄⋊C₄	—	2	1	no	—
120	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
121	C₁₃×C₂²⋊C₄	—	2	2	no	—
122	C₁₃×C₂²⋊C₄	—	2	2	no	—
123	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
124	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₁₃	#41	1	1	yes	characteristic
126	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
127	#6104	—	4	4	no	—
128	#6103	—	2	2	no	—
129	#6103	—	2	2	no	—
130	C₄⋊Dic₁₃	—	2	1	no	—
131	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
132	C₂×#1055	—	2	2	no	—
133	C₂×#1055	—	2	2	no	—
134	C₂×#1055	—	4	2	no	—
135	C₂×#1055	C₂²×C₄	1	4	yes	—
136	#6094	—	4	4	no	—
137	#6094	—	4	4	no	—
138	#3100	—	13	1	no	—
139	#2931	D₁₃	1	1	yes	characteristic, complemented
140	C₂×#436	—	13	1	no	—
141	#1594	—	13	4	no	—
142	#1586	—	13	4	no	—
143	#1570	—	13	1	no	—
144	#1486	—	13	1	no	—
145	#1480	—	13	1	no	—
146	#1452	—	13	1	no	—
147	C₂³×C₁₃	—	2	2	no	—
148	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
149	C₂²×D₁₃	—	2	2	no	—
150	C₂²×D₁₃	—	4	2	no	—
151	C₂²×D₁₃	—	4	2	no	—
152	C₂²×D₁₃	—	4	2	no	—
153	Q₈×C₁₃	—	4	2	no	—
154	D₄×C₁₃	—	2	4	no	—
155	D₄×C₁₃	—	4	2	no	—
156	D₄×C₁₃	—	4	4	no	—
157	D₄×C₁₃	—	4	2	no	—
158	C₂×C₄×C₁₃	—	2	2	no	—
159	C₂×C₄×C₁₃	—	2	2	no	—
160	C₂×C₄×C₁₃	—	4	1	no	—
161	C₂×C₄×C₁₃	—	4	2	no	—
162	C₂×C₄×C₁₃	—	4	2	no	—
163	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
164	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
165	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
166	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
167	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
168	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
169	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
171	C₂×Dic₁₃	—	2	2	no	—
172	C₂×Dic₁₃	—	4	2	no	—
173	D₅₂	—	2	2	no	—
174	D₅₂	—	2	2	no	—
175	D₅₂	—	4	2	no	—
176	C₄×D₁₃	—	4	2	no	—
177	C₄×D₁₃	—	4	2	no	—
178	C₄×D₁₃	—	4	4	no	—
179	C₈×C₁₃	—	2	1	no	—
180	C₈×C₁₃	—	2	1	no	—
181	C₈×C₁₃	—	2	1	no	—
182	C₈×C₁₃	—	2	1	no	—
183	C₈×C₁₃	—	4	2	no	—
184	#1055	—	2	4	no	—
185	#1055	—	4	2	no	—
186	#1055	—	4	2	no	—
187	C₂×#131	—	2	1	no	—
188	C₂²×M₁₆	—	26	1	no	—
189	#532	C₂×D₁₃	1	1	yes	characteristic
190	C₂×C₄×D₄	—	13	1	no	—
191	#480	—	13	2	no	—
192	#474	—	13	2	no	—
193	#459	—	13	2	no	—
194	#447	—	13	2	no	—
195	C₄×D₈	—	13	4	no	—
196	#436	—	2	1	no	—
197	#436	—	13	2	no	—
198	#436	—	13	2	no	—
199	#436	—	26	1	no	—
200	#436	—	26	1	no	—
201	#436	C₂×D₁₃	1	2	yes	complemented
202	C₈×D₄	—	2	1	no	—
203	C₈×D₄	C₂×D₁₃	1	2	yes	complemented
204	#431	—	13	1	no	—
205	#431	—	13	1	no	—
206	#423	C₂×D₁₃	1	1	yes	characteristic
207	C₂×C₄⋊C₈	—	13	1	no	—
208	#408	—	2	1	no	—
209	C₂×C₂²⋊C₈	—	26	1	no	—
210	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
211	#334	—	13	4	no	—
212	D₄⋊C₈	—	13	4	no	—
213	D₄⋊C₈	—	13	4	no	—
214	#322	—	13	2	no	—
215	#322	—	13	2	no	—
216	C₂²×C₁₃	—	2	1	no	—
217	C₂²×C₁₃	—	2	1	no	—
218	C₂²×C₁₃	—	4	2	no	—
219	C₂²×C₁₃	—	4	2	no	—
220	C₂²×C₁₃	—	4	2	no	—
221	C₂²×C₁₃	#442	1	2	yes	—
222	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
223	C₂×D₁₃	—	4	2	no	—
224	C₂×D₁₃	—	4	2	no	—
225	C₂×D₁₃	—	4	2	no	—
226	C₂×D₁₃	—	8	4	no	—
227	C₄×C₁₃	—	2	1	no	—
228	C₄×C₁₃	—	2	1	no	—
229	C₄×C₁₃	—	2	1	no	—
230	C₄×C₁₃	—	4	2	no	—
231	C₄×C₁₃	#442	1	2	yes	—
232	C₄×C₁₃	#568	1	2	yes	—
233	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
234	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
235	Dic₁₃	—	4	2	no	—
236	C₂×#41	—	2	1	no	—
237	C₂²×D₄	—	13	1	no	—
238	C₂³×C₄	—	26	1	no	—
239	C₂×D₈	—	13	4	no	—
240	#131	—	4	4	no	—
241	C₂×M₁₆	—	2	1	no	—
242	C₂×M₁₆	—	2	2	no	—
243	C₂×M₁₆	—	26	2	no	—
244	C₂×M₁₆	—	26	2	no	—
245	C₂×M₁₆	—	52	4	no	—
246	C₂²×C₈	—	2	2	no	—
247	C₂²×C₈	—	26	1	no	—
248	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
249	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
250	C₄⋊Q₈	C₄×D₁₃	1	1	yes	characteristic
251	#127	C₄×D₁₃	1	1	yes	characteristic
252	#124	—	2	1	no	—
253	#121	—	2	1	no	—
254	#121	C₄×D₁₃	1	2	yes	—
255	C₄×D₄	—	2	1	no	—
256	C₄×D₄	—	13	2	no	—
257	C₄×D₄	—	13	2	no	—
258	C₄×D₄	—	26	1	no	—
259	C₄×D₄	—	26	1	no	—
260	C₄×D₄	C₂²×D₁₃	1	2	yes	—
261	C₂×C₄⋊C₄	—	13	1	no	—
262	C₂×C₂²⋊C₄	—	26	1	no	—
263	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
264	#107	—	13	4	no	—
265	C₄⋊C₈	—	2	1	no	—
266	C₄⋊C₈	—	13	2	no	—
267	C₄⋊C₈	—	13	2	no	—
268	C₄⋊C₈	—	26	1	no	—
269	C₄⋊C₈	—	26	1	no	—
270	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
271	#102	—	13	4	no	—
272	#102	—	13	4	no	—
273	C₂²⋊C₈	—	2	2	no	—
274	C₂²⋊C₈	—	2	2	no	—
275	C₂²⋊C₈	—	13	2	no	—
276	C₂²⋊C₈	—	26	1	no	—
277	C₂²⋊C₈	—	26	2	no	—
278	C₂²⋊C₈	—	26	2	no	—
279	C₄×C₈	—	13	2	no	—
280	C₄×C₈	—	13	2	no	—
281	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
282	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
283	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
284	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
285	C₂×C₁₃	—	2	2	no	—
286	C₂×C₁₃	—	8	2	no	—
287	C₂×C₁₃	#2930	1	1	yes	characteristic
288	C₂×C₁₃	C₂×#442	1	1	yes	characteristic
289	C₂×C₁₃	#2955	1	1	yes	characteristic
290	D₁₃	—	8	2	no	—
291	C₂⁴	—	26	1	no	—
292	#41	—	4	2	no	—
293	#41	—	4	2	no	—
294	C₂×Q₈	—	2	1	no	—
295	C₂×D₄	—	2	2	no	—
296	C₂×D₄	—	2	1	no	—
297	C₂×D₄	—	2	1	no	—
298	C₂×D₄	—	13	2	no	—
299	C₂×D₄	—	26	1	no	—
300	C₂×D₄	—	52	2	no	—
301	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
302	C₂²×C₄	—	2	2	no	—
303	C₂²×C₄	—	26	1	no	—
304	C₂²×C₄	—	26	2	no	—
305	C₂²×C₄	—	26	2	no	—
306	C₂²×C₄	—	52	2	no	—
307	C₂²×C₄	—	52	2	no	—
308	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
309	C₂²×C₄	#6127	1	1	yes	characteristic
310	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
311	D₈	—	52	4	no	—
312	M₁₆	—	4	4	no	—
313	M₁₆	—	4	2	no	—
314	M₁₆	—	52	4	no	—
315	M₁₆	—	52	4	no	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	2	2	no	—
319	C₂×C₈	—	4	4	no	—
320	C₂×C₈	—	13	4	no	—
321	C₂×C₈	—	26	2	no	—
322	C₂×C₈	—	26	2	no	—
323	C₂×C₈	—	52	2	no	—
324	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
325	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
326	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
327	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
328	C₄⋊C₄	—	2	1	no	—
329	C₄⋊C₄	—	13	2	no	—
330	C₄⋊C₄	—	26	1	no	—
331	C₄⋊C₄	C₂×C₄×D₁₃	1	2	yes	—
332	C₂²⋊C₄	—	2	2	no	—
333	C₂²⋊C₄	—	2	2	no	—
334	C₂²⋊C₄	—	26	2	no	—
335	C₂²⋊C₄	—	26	2	no	—
336	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
337	C₄²	#6127	1	1	yes	characteristic
338	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
339	C₄²	C₂³×D₁₃	1	1	yes	characteristic
340	C₁₃	#17935	1	1	yes	characteristic, complemented, Sylow
341	C₂³	—	2	2	no	—
342	C₂³	—	26	2	no	—
343	C₂³	—	52	2	no	—
344	C₂³	—	52	2	no	—
345	C₂³	—	52	2	no	—
346	C₂³	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
347	Q₈	—	4	2	no	—
348	D₄	—	2	4	no	—
349	D₄	—	4	2	no	—
350	D₄	—	4	4	no	—
351	D₄	—	4	2	no	—
352	D₄	—	26	2	no	—
353	D₄	—	26	2	no	—
354	D₄	—	52	2	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	2	2	no	—
357	C₂×C₄	—	4	1	no	—
358	C₂×C₄	—	4	2	no	—
359	C₂×C₄	—	4	2	no	—
360	C₂×C₄	—	26	2	no	—
361	C₂×C₄	—	52	2	no	—
362	C₂×C₄	—	52	4	no	—
363	C₂×C₄	—	52	2	no	—
364	C₂×C₄	—	52	2	no	—
365	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
366	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
367	C₂×C₄	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
368	C₂×C₄	#88186	1	2	yes	—
369	C₂×C₄	#88203	1	2	yes	—
370	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
371	C₂×C₄	C₂×#6127	1	1	yes	characteristic
372	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
373	C₈	—	2	1	no	—
374	C₈	—	2	1	no	—
375	C₈	—	2	1	no	—
376	C₈	—	2	1	no	—
377	C₈	—	4	2	no	—
378	C₈	—	26	4	no	—
379	C₈	—	52	2	no	—
380	C₈	—	52	2	no	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	4	2	no	—
384	C₂²	—	4	2	no	—
385	C₂²	—	4	2	no	—
386	C₂²	—	52	2	no	—
387	C₂²	—	52	2	no	—
388	C₂²	—	52	2	no	—
389	C₂²	—	104	4	no	—
390	C₂²	#11718675	1	2	yes	—
391	C₂²	C₂×C₄×C₂²⋊D₁₃	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	2	1	no	—
395	C₄	—	4	2	no	—
396	C₄	—	52	2	no	—
397	C₄	#11718675	1	2	yes	—
398	C₄	#11719455	1	2	yes	—
399	C₄	C₂×#88186	1	1	yes	characteristic
400	C₄	C₂×#88203	1	1	yes	characteristic
401	C₂	—	2	2	no	—
402	C₂	—	8	2	no	—
403	C₂	—	104	2	no	—
404	C₂	#13123537	1	1	yes	characteristic
405	C₂	C₂×#11718675	1	1	yes	characteristic
406	C₂	#13123737	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×#2931	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	#13124832	C₂
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#2931	D₁₃
hypocenter	C₁₃	#17935
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄×C₈ ◁ #2931

Complements

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

N	H ≅ G/N	type
2. C₂×#11718349	C₂	semidirect
3. #13113748	C₂	semidirect
4. #13113700	C₂	semidirect
5. #13113608	C₂	semidirect
6. #13113260	C₂	semidirect
7. #13113235	C₂	semidirect
8. #13113128	C₂	semidirect
9. C₁₃×#2931	C₂	semidirect
15. C₁₃×#436	C₂²	semidirect
17. C₈×D₄×C₁₃	C₂²	semidirect
34. D₄⋊#1055	C₂²	semidirect
36. #11718072	C₂²	semidirect
37. #11718046	C₂²	semidirect
38. #11718046	C₂²	semidirect
139. #2931	D₁₃	semidirect
201. #436	C₂×D₁₃	semidirect
203. C₈×D₄	C₂×D₁₃	semidirect
340. C₁₃	#17935	semidirect

Maximal subgroups

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

subgroup	index
#13124832	2
C₂×#11718349	2
#13113748	2
#13113700	2
#13113608	2
#13113260	2
#13113235	2
#13113128	2
C₁₃×#2931	2
#17935	13