Subgroups — #15833111

Order 3328.

734 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	#13124836	C₂	1	1	yes	maximal, characteristic
2	#13123549	C₂	1	1	yes	maximal, characteristic, complemented
3	#13113719	C₂	1	4	yes	maximal, complemented
4	#13113663	C₂	1	4	yes	maximal, complemented
5	#13113610	C₂	1	1	yes	maximal, characteristic, complemented
6	#13113261	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113234	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113119	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#436	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×C₁₃×M₁₆	—	2	1	no	—
11	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
12	C₂×#88155	—	2	1	no	—
13	#11719182	C₂²	1	1	yes	characteristic
14	C₁₃×#436	—	2	1	no	—
15	C₁₃×#436	—	2	1	no	—
16	C₁₃×#436	C₂²	1	2	yes	—
17	C₁₃×#436	C₂²	1	2	yes	—
18	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×C₂²⋊C₈	—	2	1	no	—
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	#11718878	C₄	1	2	yes	—
22	#11718771	—	2	1	no	—
23	#11718676	C₄	1	2	yes	—
24	C₄×#6104	C₂²	1	4	yes	—
25	#11718668	C₄	1	2	yes	—
26	#11718628	C₄	1	2	yes	—
27	#11718586	C₂²	1	1	yes	characteristic
28	#11718586	C₂²	1	1	yes	characteristic
29	#11718585	C₂²	1	1	yes	characteristic
30	#11718349	—	2	1	no	—
31	#11718349	C₂²	1	2	yes	complemented
32	C₈×D₅₂	—	2	1	no	—
33	C₈×D₅₂	C₂²	1	2	yes	complemented
34	D₄⋊#1055	C₂²	1	4	yes	—
35	#11718075	C₂²	1	4	yes	complemented
36	#11718071	C₂²	1	4	yes	complemented
37	#11718047	C₂²	1	2	yes	complemented
38	C₈×#1055	C₂²	1	2	yes	complemented
39	C₂²×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
40	C₂³×C₄×C₁₃	—	2	1	no	—
41	C₂×#6127	—	2	1	no	—
42	C₂×C₁₃×M₁₆	—	2	2	no	—
43	C₂×C₁₃×M₁₆	—	2	2	no	—
44	C₂×C₁₃×M₁₆	—	4	4	no	—
45	C₂²×C₈×C₁₃	—	2	1	no	—
46	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
47	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
48	C₄×D₄×C₁₃	—	2	1	no	—
49	C₄×D₄×C₁₃	—	2	1	no	—
50	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
51	C₄×D₄×C₁₃	C₂³	1	2	yes	—
52	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
53	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
54	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
55	C₂×#6104	C₂×C₄	1	4	yes	—
56	#88184	—	2	1	no	—
57	#88184	C₂×C₄	1	2	yes	—
58	C₂×#6099	—	2	1	no	—
59	#88155	—	4	4	no	—
60	C₂×#6094	—	2	2	no	—
61	C₂×C₈×D₁₃	—	2	2	no	—
62	#88129	—	2	1	no	—
63	#88128	C₂×C₄	1	1	yes	characteristic
64	C₄×D₅₂	—	2	1	no	—
65	C₄×D₅₂	C₂³	1	2	yes	—
66	#88123	C₂×C₄	1	1	yes	characteristic
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	#17928	—	13	1	no	maximal, Sylow
89	C₂⁴×C₁₃	—	2	1	no	—
90	C₂×D₄×C₁₃	—	2	1	no	—
91	C₂×D₄×C₁₃	—	4	2	no	—
92	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
93	C₂²×C₄×C₁₃	—	2	1	no	—
94	C₂²×C₄×C₁₃	—	2	2	no	—
95	C₂²×C₄×C₁₃	—	2	2	no	—
96	C₂²×C₄×C₁₃	—	4	2	no	—
97	C₂²×C₄×C₁₃	—	4	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	C₂×C₂²⋊D₁₃	—	2	2	no	—
102	#6127	—	4	2	no	—
103	#6127	—	4	2	no	—
104	C₂×D₅₂	—	2	1	no	—
105	C₂×D₅₂	—	2	1	no	—
106	C₂×D₅₂	C₂²×C₄	1	2	yes	—
107	C₂×C₄×D₁₃	—	2	2	no	—
108	C₂×Dic₂₆	—	2	1	no	—
109	C₁₃×M₁₆	—	4	4	no	—
110	C₁₃×M₁₆	—	4	4	no	—
111	C₂×C₈×C₁₃	—	2	2	no	—
112	C₂×C₈×C₁₃	—	2	2	no	—
113	C₂×C₈×C₁₃	—	4	2	no	—
114	C₂×C₈×C₁₃	D₈	1	4	yes	complemented
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	#6099	—	4	2	no	—
133	C₂×#1055	—	2	2	no	—
134	C₂×#1055	—	2	2	no	—
135	C₂×#1055	C₂²×C₄	1	4	yes	—
136	#6094	—	4	4	no	—
137	C₈×D₁₃	—	4	4	no	—
138	#3100	—	13	1	no	—
139	#2931	—	13	1	no	—
140	C₂×#436	D₁₃	1	1	yes	characteristic, complemented
141	#1589	—	13	4	no	—
142	#1581	—	13	4	no	—
143	#1571	—	13	1	no	—
144	#1486	—	13	1	no	—
145	#1480	—	13	1	no	—
146	#1450	—	13	1	no	—
147	C₂³×C₁₃	—	2	2	no	—
148	C₂³×C₁₃	—	4	2	no	—
149	C₂³×C₁₃	—	4	2	no	—
150	C₂³×C₁₃	—	4	2	no	—
151	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
152	C₂²×D₁₃	—	2	2	no	—
153	D₄×C₁₃	—	2	2	no	—
154	D₄×C₁₃	—	2	2	no	—
155	D₄×C₁₃	—	4	2	no	—
156	C₂×C₄×C₁₃	—	2	2	no	—
157	C₂×C₄×C₁₃	—	2	2	no	—
158	C₂×C₄×C₁₃	—	4	1	no	—
159	C₂×C₄×C₁₃	—	4	2	no	—
160	C₂×C₄×C₁₃	—	4	2	no	—
161	C₂×C₄×C₁₃	—	4	2	no	—
162	C₂×C₄×C₁₃	—	4	4	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	C₂×D₈	1	2	yes	—
167	C₂×C₄×C₁₃	#135	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	C₂²⋊D₁₃	—	4	4	no	—
172	C₂×Dic₁₃	—	2	2	no	—
173	D₅₂	—	2	4	no	—
174	D₅₂	—	4	2	no	—
175	D₅₂	—	4	2	no	—
176	C₄×D₁₃	—	4	2	no	—
177	C₄×D₁₃	—	4	2	no	—
178	Dic₂₆	—	4	2	no	—
179	C₈×C₁₃	—	2	1	no	—
180	C₈×C₁₃	—	2	1	no	—
181	C₈×C₁₃	—	4	2	no	—
182	C₈×C₁₃	C₂×D₈	1	2	yes	—
183	C₈×C₁₃	C₂×D₈	1	2	yes	—
184	#1055	—	2	4	no	—
185	#1055	—	4	2	no	—
186	#1055	—	4	2	no	—
187	C₂×#131	—	26	1	no	—
188	C₂²×M₁₆	—	2	1	no	—
189	#532	—	13	1	no	—
190	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
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	—	2	1	no	—
198	#436	—	13	2	no	—
199	#436	—	26	1	no	—
200	#436	C₂×D₁₃	1	2	yes	—
201	#436	C₂×D₁₃	1	2	yes	—
202	C₈×D₄	—	13	2	no	—
203	C₈×D₄	—	26	1	no	—
204	#431	—	13	1	no	—
205	#431	—	13	1	no	—
206	#423	—	13	1	no	—
207	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic
208	#408	—	26	1	no	—
209	C₂×C₂²⋊C₈	—	2	1	no	—
210	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
211	#335	—	13	4	no	—
212	D₄⋊C₈	—	13	4	no	—
213	D₄⋊C₈	—	13	4	no	—
214	#322	—	13	2	no	—
215	C₈²	—	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	—	8	4	no	—
222	C₂²×C₁₃	C₄×D₈	1	2	yes	—
223	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
224	C₂×D₁₃	—	4	2	no	—
225	C₂×D₁₃	—	4	2	no	—
226	C₂×D₁₃	—	4	2	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	C₄×D₈	1	2	yes	—
232	C₄×C₁₃	#568	1	2	yes	—
233	C₄×C₁₃	C₂²×D₈	1	1	yes	characteristic
234	C₄×C₁₃	C₂×#135	1	1	yes	characteristic
235	Dic₁₃	—	4	2	no	—
236	C₂×#41	—	26	1	no	—
237	C₂²×D₄	C₄×D₁₃	1	1	yes	characteristic
238	C₂³×C₄	—	2	1	no	—
239	C₂×D₈	—	13	4	no	—
240	#131	—	52	4	no	—
241	C₂×M₁₆	—	2	2	no	—
242	C₂×M₁₆	—	2	2	no	—
243	C₂×M₁₆	—	4	4	no	—
244	C₂×M₁₆	—	26	1	no	—
245	C₂×M₁₆	—	26	2	no	—
246	C₂²×C₈	—	2	1	no	—
247	C₂²×C₈	—	26	2	no	—
248	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
249	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
250	C₄⋊Q₈	—	13	1	no	—
251	#127	—	13	1	no	—
252	#124	—	26	1	no	—
253	#121	—	13	2	no	—
254	#121	—	26	1	no	—
255	C₄×D₄	—	2	1	no	—
256	C₄×D₄	—	2	1	no	—
257	C₄×D₄	—	13	2	no	—
258	C₄×D₄	—	26	1	no	—
259	C₄×D₄	C₄×D₁₃	1	2	yes	—
260	C₄×D₄	C₂²×D₁₃	1	2	yes	—
261	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
262	C₂×C₂²⋊C₄	—	2	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×C₄×D₈	1	1	yes	characteristic
289	C₂×C₁₃	#2955	1	1	yes	characteristic
290	D₁₃	—	8	2	no	—
291	C₂⁴	—	2	1	no	—
292	#41	—	52	2	no	—
293	#41	—	52	2	no	—
294	C₂×Q₈	—	26	1	no	—
295	C₂×D₄	—	2	1	no	—
296	C₂×D₄	—	4	2	no	—
297	C₂×D₄	—	13	2	no	—
298	C₂×D₄	—	26	2	no	—
299	C₂×D₄	—	26	1	no	—
300	C₂×D₄	—	26	1	no	—
301	C₂×D₄	C₂×C₄×D₁₃	1	2	yes	—
302	C₂²×C₄	—	2	1	no	—
303	C₂²×C₄	—	2	2	no	—
304	C₂²×C₄	—	2	2	no	—
305	C₂²×C₄	—	4	2	no	—
306	C₂²×C₄	—	4	2	no	—
307	C₂²×C₄	—	26	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	4	no	—
314	M₁₆	—	52	2	no	—
315	M₁₆	—	52	4	no	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	4	2	no	—
319	C₂×C₈	—	13	4	no	—
320	C₂×C₈	—	26	2	no	—
321	C₂×C₈	—	26	2	no	—
322	C₂×C₈	—	52	4	no	—
323	C₂×C₈	#6104	1	4	yes	complemented
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	#17928	1	1	yes	characteristic, complemented, Sylow
341	C₂³	—	2	2	no	—
342	C₂³	—	4	2	no	—
343	C₂³	—	4	2	no	—
344	C₂³	—	4	2	no	—
345	C₂³	—	26	2	no	—
346	C₂³	C₄×C₂²⋊D₁₃	1	1	yes	characteristic
347	Q₈	—	52	2	no	—
348	D₄	—	2	2	no	—
349	D₄	—	2	2	no	—
350	D₄	—	4	2	no	—
351	D₄	—	26	4	no	—
352	D₄	—	52	2	no	—
353	D₄	—	52	4	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	4	no	—
360	C₂×C₄	—	4	2	no	—
361	C₂×C₄	—	4	2	no	—
362	C₂×C₄	—	26	2	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	C₂×#6104	1	2	yes	—
369	C₂×C₄	#88204	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	—	4	2	no	—
376	C₈	—	26	4	no	—
377	C₈	—	52	2	no	—
378	C₈	—	52	2	no	—
379	C₈	C₂×#6104	1	2	yes	—
380	C₈	C₂×#6104	1	2	yes	—
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	—	8	4	no	—
387	C₂²	—	52	2	no	—
388	C₂²	—	52	2	no	—
389	C₂²	—	52	2	no	—
390	C₂²	C₄×#6104	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	C₄×#6104	1	2	yes	—
398	C₄	#11719450	1	2	yes	—
399	C₄	C₂²×#6104	1	1	yes	characteristic
400	C₄	C₂×#88204	1	1	yes	characteristic
401	C₂	—	2	2	no	—
402	C₂	—	8	2	no	—
403	C₂	—	104	2	no	—
404	C₂	#13123539	1	1	yes	characteristic
405	C₂	C₂×C₄×#6104	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	C₂×C₁₃×#436	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	#13124836	C₂
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	C₂×#436	D₁₃
hypocenter	C₁₃	#17928
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄×C₈ ◁ C₂×#436

Complements

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

N	H ≅ G/N	type
2. #13123549	C₂	semidirect
3. #13113719	C₂	semidirect
4. #13113663	C₂	semidirect
5. #13113610	C₂	semidirect
6. #13113261	C₂	semidirect
7. #13113234	C₂	semidirect
8. #13113119	C₂	semidirect
9. C₂×C₁₃×#436	C₂	semidirect
31. #11718349	C₂²	semidirect
33. C₈×D₅₂	C₂²	semidirect
35. #11718075	C₂²	semidirect
36. #11718071	C₂²	semidirect
37. #11718047	C₂²	semidirect
38. C₈×#1055	C₂²	semidirect
114. C₂×C₈×C₁₃	D₈	semidirect
140. C₂×#436	D₁₃	semidirect
323. C₂×C₈	#6104	semidirect
340. C₁₃	#17928	semidirect

Maximal subgroups

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

subgroup	index
#13124836	2
#13123549	2
#13113719	2
#13113663	2
#13113610	2
#13113261	2
#13113234	2
#13113119	2
C₂×C₁₃×#436	2
#17928	13