Subgroups — #15832592

Order 3328.

726 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	#13123876	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123859	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×D₁₀₄	C₂	1	1	yes	maximal, characteristic
4	#13113702	C₂	1	4	yes	maximal, complemented
5	#13113667	C₂	1	4	yes	maximal, complemented
6	#13113584	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113228	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113228	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1452	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×D₁₀₄	C₄	1	1	yes	characteristic
11	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
12	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
13	C₁₃×#431	C₂²	1	1	yes	characteristic
14	C₁₃×#431	C₂²	1	1	yes	characteristic
15	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
16	C₂×#88061	C₄	1	1	yes	characteristic
17	C₂×#88061	C₄	1	1	yes	characteristic
18	C₂×#88058	C₄	1	1	yes	characteristic
19	#11718586	C₂²	1	1	yes	characteristic
20	#11718586	C₂²	1	1	yes	characteristic
21	#11718499	—	2	2	no	—
22	#11718495	—	2	2	no	—
23	#11718387	—	2	2	no	—
24	D₁₃×C₂²⋊C₈	—	2	2	no	—
25	C₄×D₁₀₄	C₄	1	2	yes	—
26	C₄×D₁₀₄	C₄	1	2	yes	—
27	C₄×D₁₀₄	C₂²	1	2	yes	—
28	C₄×D₁₀₄	C₂²	1	2	yes	—
29	#11718349	C₂²	1	4	yes	complemented
30	C₈×D₅₂	C₂²	1	4	yes	complemented
31	C₁₃×#322	C₂²	1	2	yes	complemented
32	C₁₃×#322	C₂²	1	2	yes	complemented
33	#11718051	C₂²	1	4	yes	complemented
34	#11718051	C₂²	1	4	yes	complemented
35	#11718050	C₂²	1	2	yes	complemented
36	#11718049	C₂²	1	2	yes	complemented
37	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
38	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₄×D₁₃	—	2	1	no	—
40	C₂²×C₄×D₁₃	—	2	1	no	—
41	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
44	C₂×#6103	—	2	1	no	—
45	C₂×#6103	—	2	1	no	—
46	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
48	C₂×D₁₀₄	—	2	4	no	—
49	C₂×D₁₀₄	C₂×C₄	1	2	yes	—
50	C₂×D₁₀₄	C₂×C₄	1	2	yes	—
51	C₂×#6094	—	2	4	no	—
52	C₂×C₈×D₁₃	—	2	4	no	—
53	C₄×D₅₂	—	2	1	no	—
54	C₄×D₅₂	—	2	1	no	—
55	C₄×D₅₂	—	2	1	no	—
56	C₄×D₅₂	—	2	1	no	—
57	C₄×D₅₂	C₂×C₄	1	2	yes	—
58	C₄×D₅₂	C₂×C₄	1	2	yes	—
59	C₄×D₅₂	C₂³	1	2	yes	—
60	C₄×D₅₂	C₂³	1	2	yes	—
61	C₁₃×C₄⋊C₈	—	2	1	no	—
62	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
63	C₁₃×C₂²⋊C₈	—	2	1	no	—
64	C₁₃×C₂²⋊C₈	D₄	1	2	yes	—
65	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
66	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
67	C₄×C₈×C₁₃	C₂³	1	2	yes	—
68	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
69	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
70	C₄×C₈×C₁₃	C₂³	1	2	yes	—
71	C₂²⋊#1055	—	2	1	no	—
72	C₂²⋊#1055	—	2	1	no	—
73	#88061	C₂×C₄	1	2	yes	—
74	#88061	C₂×C₄	1	2	yes	—
75	#88061	C₂×C₄	1	2	yes	—
76	#88061	C₂×C₄	1	2	yes	—
77	#88060	—	2	4	no	—
78	#88060	—	2	4	no	—
79	#88058	C₂×C₄	1	2	yes	—
80	#88058	C₂×C₄	1	2	yes	—
81	C₄⋊#1055	C₂³	1	2	yes	—
82	C₄⋊#1055	C₂³	1	2	yes	—
83	C₄×#1055	—	2	1	no	—
84	C₄×#1055	—	2	1	no	—
85	#17877	—	13	1	no	maximal, Sylow
86	C₂³×D₁₃	—	2	1	no	—
87	C₂³×D₁₃	—	2	1	no	—
88	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
91	C₂²×Dic₁₃	—	2	1	no	—
92	C₂²×Dic₁₃	—	2	1	no	—
93	C₂×D₅₂	—	2	1	no	—
94	C₂×D₅₂	—	2	2	no	—
95	C₂×D₅₂	—	2	2	no	—
96	C₂×D₅₂	—	2	2	no	—
97	C₂×D₅₂	—	2	1	no	—
98	C₂×D₅₂	M₁₆	1	4	yes	complemented
99	C₂×D₅₂	C₂²×C₄	1	2	yes	—
100	C₂×D₅₂	C₂²×C₄	1	2	yes	—
101	C₂×C₄×D₁₃	—	2	2	no	—
102	C₂×C₄×D₁₃	—	2	2	no	—
103	C₂×C₄×D₁₃	—	2	2	no	—
104	C₂×C₄×D₁₃	—	2	2	no	—
105	C₂×C₄×D₁₃	—	8	2	no	—
106	C₂×C₄×D₁₃	—	8	2	no	—
107	C₂×C₈×C₁₃	—	2	2	no	—
108	C₂×C₈×C₁₃	—	2	2	no	—
109	C₂×C₈×C₁₃	—	2	2	no	—
110	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
111	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
114	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	—
115	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
116	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₁₃	#41	1	1	yes	characteristic
118	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
119	#6103	—	2	2	no	—
120	#6103	—	2	2	no	—
121	#6103	—	2	2	no	—
122	#6103	—	2	2	no	—
123	C₄⋊Dic₁₃	—	2	1	no	—
124	C₄⋊Dic₁₃	—	2	1	no	—
125	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
126	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
127	C₂×#1055	—	2	2	no	—
128	C₂×#1055	—	2	2	no	—
129	D₁₀₄	—	2	4	no	—
130	D₁₀₄	—	2	4	no	—
131	#6094	—	8	4	no	—
132	C₈×D₁₃	—	8	4	no	—
133	#2975	—	13	1	no	—
134	#2972	—	13	1	no	—
135	C₂×C₄×D₈	—	13	1	no	—
136	#1586	—	13	4	no	—
137	#1581	—	13	4	no	—
138	#1564	—	13	1	no	—
139	#1478	—	13	1	no	—
140	#1478	—	13	1	no	—
141	#1452	D₁₃	1	1	yes	characteristic, complemented
142	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
143	C₂²×D₁₃	—	2	2	no	—
144	C₂²×D₁₃	—	2	4	no	—
145	C₂²×D₁₃	—	2	2	no	—
146	C₂²×D₁₃	—	4	2	no	—
147	C₂²×D₁₃	—	8	1	no	—
148	C₂²×D₁₃	—	8	1	no	—
149	C₂²×D₁₃	—	8	1	no	—
150	C₂²×D₁₃	—	8	1	no	—
151	C₂×C₄×C₁₃	—	2	2	no	—
152	C₂×C₄×C₁₃	—	4	1	no	—
153	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
155	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
157	C₂×C₄×C₁₃	#131	1	2	yes	—
158	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
159	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
161	C₂×Dic₁₃	—	2	2	no	—
162	C₂×Dic₁₃	—	2	2	no	—
163	C₂×Dic₁₃	—	8	1	no	—
164	C₂×Dic₁₃	—	8	1	no	—
165	D₅₂	—	2	2	no	—
166	D₅₂	—	2	2	no	—
167	D₅₂	—	2	2	no	—
168	D₅₂	—	2	4	no	—
169	D₅₂	—	4	2	no	—
170	D₅₂	C₂×M₁₆	1	4	yes	—
171	C₄×D₁₃	—	4	4	no	—
172	C₄×D₁₃	—	4	4	no	—
173	C₄×D₁₃	—	8	2	no	—
174	C₄×D₁₃	—	8	2	no	—
175	C₈×C₁₃	—	2	1	no	—
176	C₈×C₁₃	—	2	1	no	—
177	C₈×C₁₃	—	2	1	no	—
178	C₈×C₁₃	—	2	1	no	—
179	C₈×C₁₃	—	2	4	no	—
180	C₈×C₁₃	—	4	2	no	—
181	#1055	—	4	2	no	—
182	#1055	—	4	2	no	—
183	C₂²×D₈	—	13	1	no	—
184	C₂×C₄×D₄	—	13	1	no	—
185	C₂×C₄×D₄	—	13	1	no	—
186	C₄×D₈	—	13	2	no	—
187	C₄×D₈	—	13	2	no	—
188	C₄×D₈	—	13	2	no	—
189	C₄×D₈	—	13	2	no	—
190	#436	—	13	4	no	—
191	#436	—	26	2	no	—
192	C₈×D₄	—	13	4	no	—
193	C₈×D₄	—	26	2	no	—
194	#431	—	13	1	no	—
195	#431	—	13	1	no	—
196	#431	C₂×D₁₃	1	1	yes	characteristic
197	#431	C₂×D₁₃	1	1	yes	characteristic
198	C₂×#107	—	13	1	no	—
199	C₂×#102	—	13	1	no	—
200	C₂×#102	—	13	1	no	—
201	#407	—	26	2	no	—
202	C₂×C₂²⋊C₈	—	26	2	no	—
203	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
204	#335	—	13	2	no	—
205	#334	—	13	2	no	—
206	D₄⋊C₈	—	13	4	no	—
207	D₄⋊C₈	—	13	4	no	—
208	#322	C₂×D₁₃	1	2	yes	complemented
209	#322	C₂×D₁₃	1	2	yes	complemented
210	C₂²×C₁₃	—	2	1	no	—
211	C₂²×C₁₃	—	2	1	no	—
212	C₂²×C₁₃	#435	1	2	yes	—
213	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
214	C₂×D₁₃	—	2	4	no	—
215	C₂×D₁₃	—	4	2	no	—
216	C₂×D₁₃	—	4	2	no	—
217	C₂×D₁₃	—	4	2	no	—
218	C₂×D₁₃	—	4	2	no	—
219	C₂×D₁₃	—	4	2	no	—
220	C₂×D₁₃	—	8	4	no	—
221	C₂×D₁₃	—	8	4	no	—
222	C₄×C₁₃	—	2	1	no	—
223	C₄×C₁₃	—	2	1	no	—
224	C₄×C₁₃	—	2	1	no	—
225	C₄×C₁₃	#435	1	2	yes	—
226	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
227	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
228	C₄×C₁₃	#576	1	2	yes	—
229	Dic₁₃	—	4	2	no	—
230	Dic₁₃	—	4	2	no	—
231	C₂²×D₄	—	13	1	no	—
232	C₂²×D₄	—	13	1	no	—
233	C₂³×C₄	—	26	1	no	—
234	C₂³×C₄	—	26	1	no	—
235	C₂×D₈	—	13	2	no	—
236	C₂×D₈	—	13	2	no	—
237	C₂×D₈	—	26	4	no	—
238	C₂×M₁₆	—	26	4	no	—
239	C₂²×C₈	—	26	4	no	—
240	C₂²×C₈	C₄×D₁₃	1	1	yes	characteristic
241	C₂²×C₈	C₄×D₁₃	1	1	yes	characteristic
242	C₄×D₄	—	13	2	no	—
243	C₄×D₄	—	13	2	no	—
244	C₄×D₄	—	13	2	no	—
245	C₄×D₄	—	13	2	no	—
246	C₄×D₄	—	26	1	no	—
247	C₄×D₄	—	26	1	no	—
248	C₄×D₄	—	26	1	no	—
249	C₄×D₄	—	26	1	no	—
250	C₂×C₄⋊C₄	—	13	1	no	—
251	C₂×C₄⋊C₄	—	13	1	no	—
252	C₂×C₂²⋊C₄	—	26	1	no	—
253	C₂×C₂²⋊C₄	—	26	1	no	—
254	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
255	#107	—	13	2	no	—
256	#107	—	13	2	no	—
257	C₄⋊C₈	—	2	1	no	—
258	C₄⋊C₈	—	13	2	no	—
259	C₄⋊C₈	—	13	2	no	—
260	C₄⋊C₈	D₅₂	1	2	yes	—
261	#102	—	13	2	no	—
262	#102	—	13	2	no	—
263	#102	—	13	2	no	—
264	#102	—	13	2	no	—
265	C₂²⋊C₈	—	2	1	no	—
266	C₂²⋊C₈	—	26	1	no	—
267	C₂²⋊C₈	—	26	1	no	—
268	C₂²⋊C₈	—	26	4	no	—
269	C₂²⋊C₈	—	26	4	no	—
270	C₂²⋊C₈	D₅₂	1	2	yes	—
271	C₄×C₈	—	26	1	no	—
272	C₄×C₈	—	26	1	no	—
273	C₄×C₈	C₄×D₁₃	1	1	yes	characteristic
274	C₄×C₈	C₄×D₁₃	1	1	yes	characteristic
275	C₄×C₈	C₂²×D₁₃	1	2	yes	—
276	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
277	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
278	C₄×C₈	C₂²×D₁₃	1	2	yes	—
279	C₂×C₁₃	—	2	2	no	—
280	C₂×C₁₃	C₂×#435	1	1	yes	characteristic
281	C₂×C₁₃	#2948	1	1	yes	characteristic
282	C₂×C₁₃	#2957	1	1	yes	characteristic
283	D₁₃	—	4	4	no	—
284	D₁₃	—	8	2	no	—
285	C₂⁴	—	26	1	no	—
286	C₂⁴	—	26	1	no	—
287	C₂×D₄	—	13	4	no	—
288	C₂×D₄	—	13	2	no	—
289	C₂×D₄	—	13	2	no	—
290	C₂×D₄	—	26	1	no	—
291	C₂×D₄	—	26	1	no	—
292	C₂×D₄	—	26	2	no	—
293	C₂×D₄	—	26	2	no	—
294	C₂×D₄	—	26	2	no	—
295	C₂²×C₄	—	26	1	no	—
296	C₂²×C₄	—	26	1	no	—
297	C₂²×C₄	—	26	2	no	—
298	C₂²×C₄	—	26	2	no	—
299	C₂²×C₄	—	26	2	no	—
300	C₂²×C₄	—	26	2	no	—
301	C₂²×C₄	—	104	2	no	—
302	C₂²×C₄	—	104	2	no	—
303	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
304	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
305	C₂²×C₄	#6127	1	1	yes	characteristic
306	D₈	—	26	4	no	—
307	D₈	—	26	4	no	—
308	M₁₆	—	104	4	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	—	26	2	no	—
313	C₂×C₈	—	26	2	no	—
314	C₂×C₈	—	104	4	no	—
315	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
316	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
317	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
318	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
319	C₂×C₈	C₂×D₅₂	1	4	yes	—
320	C₄⋊C₄	—	13	2	no	—
321	C₄⋊C₄	—	13	2	no	—
322	C₄⋊C₄	—	26	1	no	—
323	C₄⋊C₄	—	26	1	no	—
324	C₂²⋊C₄	—	26	2	no	—
325	C₂²⋊C₄	—	26	2	no	—
326	C₂²⋊C₄	—	26	2	no	—
327	C₂²⋊C₄	—	26	2	no	—
328	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
329	C₄²	C₂×D₅₂	1	1	yes	characteristic
330	C₄²	#6127	1	1	yes	characteristic
331	C₄²	C₂³×D₁₃	1	1	yes	characteristic
332	C₁₃	#17877	1	1	yes	characteristic, complemented, Sylow
333	C₂³	—	26	2	no	—
334	C₂³	—	26	4	no	—
335	C₂³	—	26	2	no	—
336	C₂³	—	52	2	no	—
337	C₂³	—	104	1	no	—
338	C₂³	—	104	1	no	—
339	C₂³	—	104	1	no	—
340	C₂³	—	104	1	no	—
341	C₂³	C₄×D₅₂	1	1	yes	characteristic
342	D₄	—	13	4	no	—
343	D₄	—	26	2	no	—
344	D₄	—	26	2	no	—
345	D₄	—	26	2	no	—
346	D₄	—	26	4	no	—
347	D₄	—	52	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	26	2	no	—
351	C₂×C₄	—	26	2	no	—
352	C₂×C₄	—	52	4	no	—
353	C₂×C₄	—	52	4	no	—
354	C₂×C₄	—	104	2	no	—
355	C₂×C₄	—	104	2	no	—
356	C₂×C₄	—	104	1	no	—
357	C₂×C₄	—	104	1	no	—
358	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
359	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
360	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
361	C₂×C₄	M₁₆×D₁₃	1	2	yes	—
362	C₂×C₄	#88161	1	2	yes	—
363	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
364	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
365	C₂×C₄	C₂×#6127	1	1	yes	characteristic
366	C₈	—	2	1	no	—
367	C₈	—	2	1	no	—
368	C₈	—	2	1	no	—
369	C₈	—	2	1	no	—
370	C₈	—	2	4	no	—
371	C₈	—	4	2	no	—
372	C₈	—	52	2	no	—
373	C₈	—	52	2	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	26	4	no	—
377	C₂²	—	52	2	no	—
378	C₂²	—	52	2	no	—
379	C₂²	—	52	2	no	—
380	C₂²	—	52	2	no	—
381	C₂²	—	52	2	no	—
382	C₂²	—	104	4	no	—
383	C₂²	—	104	4	no	—
384	C₂²	#11718367	1	2	yes	—
385	C₂²	C₂×C₄×D₅₂	1	1	yes	characteristic
386	C₄	—	2	1	no	—
387	C₄	—	2	1	no	—
388	C₄	—	2	1	no	—
389	C₄	—	52	2	no	—
390	C₄	—	52	2	no	—
391	C₄	#11718367	1	2	yes	—
392	C₄	C₂×M₁₆×D₁₃	1	1	yes	characteristic
393	C₄	C₂×#88161	1	1	yes	characteristic
394	C₄	#11719457	1	2	yes	—
395	C₂	—	2	2	no	—
396	C₂	—	52	4	no	—
397	C₂	—	104	2	no	—
398	C₂	C₂×#11718367	1	1	yes	characteristic
399	C₂	#13123689	1	1	yes	characteristic
400	C₂	#13123754	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₅₂
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1452	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂²×D₁₀₄	C₄
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1452	D₁₃
hypocenter	C₁₃	#17877
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #431 ◁ #1452

Complements

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

N	H ≅ G/N	type
1. #13123876	C₂	semidirect
2. #13123859	C₂	semidirect
4. #13113702	C₂	semidirect
5. #13113667	C₂	semidirect
6. #13113584	C₂	semidirect
7. #13113228	C₂	semidirect
8. #13113228	C₂	semidirect
9. C₁₃×#1452	C₂	semidirect
29. #11718349	C₂²	semidirect
30. C₈×D₅₂	C₂²	semidirect
31. C₁₃×#322	C₂²	semidirect
32. C₁₃×#322	C₂²	semidirect
33. #11718051	C₂²	semidirect
34. #11718051	C₂²	semidirect
35. #11718050	C₂²	semidirect
36. #11718049	C₂²	semidirect
98. C₂×D₅₂	M₁₆	semidirect
141. #1452	D₁₃	semidirect
208. #322	C₂×D₁₃	semidirect
209. #322	C₂×D₁₃	semidirect
332. C₁₃	#17877	semidirect

Maximal subgroups

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

subgroup	index
#13123876	2
#13123859	2
C₂×C₄×D₁₀₄	2
#13113702	2
#13113667	2
#13113584	2
#13113228	2
C₁₃×#1452	2
#17877	13