Subgroups — #15833113

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	#13124837	C₂	1	1	yes	maximal, characteristic
2	#13123549	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11718349	C₂	1	1	yes	maximal, characteristic, complemented
4	#13113722	C₂	1	4	yes	maximal, complemented
5	#13113667	C₂	1	4	yes	maximal, complemented
6	#13113611	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113262	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113236	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1450	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#88155	—	2	1	no	—
11	C₂²×#6094	—	2	1	no	—
12	#11719182	C₂²	1	1	yes	characteristic
13	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
14	C₁₃×#431	C₂²	1	1	yes	characteristic
15	C₁₃×#431	C₂²	1	1	yes	characteristic
16	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
17	#11718771	—	2	1	no	—
18	C₂×#88060	—	2	1	no	—
19	#11718585	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
21	#11718507	C₄	1	2	yes	—
22	#11718504	C₄	1	2	yes	—
23	#11718397	C₄	1	2	yes	—
24	#11718393	C₄	1	2	yes	—
25	C₄×D₁₀₄	C₂²	1	4	yes	—
26	#11718349	—	2	1	no	—
27	#11718349	—	2	1	no	—
28	#11718349	—	2	1	no	—
29	#11718349	C₂²	1	2	yes	—
30	#11718349	C₂²	1	2	yes	—
31	#11718349	C₂²	1	2	yes	complemented
32	C₈×D₅₂	—	2	1	no	—
33	C₈×D₅₂	C₂²	1	2	yes	complemented
34	C₁₃×#322	C₂²	1	2	yes	complemented
35	C₈²×C₁₃	C₂²	1	2	yes	complemented
36	#11718051	C₂²	1	4	yes	—
37	#11718051	C₂²	1	4	yes	complemented
38	#11718050	C₂²	1	4	yes	complemented
39	C₂×#6127	—	2	1	no	—
40	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₄×D₁₃	—	2	1	no	—
42	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
43	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
44	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
45	#88184	—	2	1	no	—
46	#88184	C₂×C₄	1	2	yes	—
47	C₂×#6103	—	2	1	no	—
48	C₂×C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
49	C₂×#6099	—	2	1	no	—
50	C₂²×#1055	—	2	1	no	—
51	C₂×D₁₀₄	C₂×C₄	1	4	yes	—
52	#88155	—	4	4	no	—
53	C₂×#6094	—	2	2	no	—
54	C₂×#6094	—	2	2	no	—
55	C₂×#6094	—	2	2	no	—
56	C₂×#6094	—	4	4	no	—
57	C₂×C₈×D₁₃	—	2	2	no	—
58	#88129	—	2	1	no	—
59	#88128	C₂×C₄	1	1	yes	characteristic
60	C₄×D₅₂	—	2	1	no	—
61	C₄×D₅₂	—	2	1	no	—
62	C₄×D₅₂	—	2	1	no	—
63	C₄×D₅₂	C₂×C₄	1	2	yes	—
64	C₄×D₅₂	C₂³	1	2	yes	—
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	C₂×C₄	1	2	yes	—
69	C₁₃×C₂²⋊C₈	—	2	1	no	—
70	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
71	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
72	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
73	C₄×C₈×C₁₃	C₂³	1	2	yes	—
74	C₄×C₈×C₁₃	C₂³	1	2	yes	—
75	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
76	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
77	#88061	C₂×C₄	1	4	yes	—
78	#88061	C₂×C₄	1	4	yes	—
79	#88060	—	2	2	no	—
80	#88060	—	2	2	no	—
81	#88060	—	2	2	no	—
82	#88060	—	2	2	no	—
83	#88058	C₂×C₄	1	4	yes	—
84	C₄⋊#1055	—	2	1	no	—
85	C₄⋊#1055	—	2	1	no	—
86	C₄⋊#1055	C₂³	1	2	yes	—
87	C₄⋊#1055	C₂³	1	2	yes	—
88	#17928	—	13	1	no	maximal, Sylow
89	C₂³×D₁₃	—	2	1	no	—
90	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
93	C₂×C₂²⋊D₁₃	—	2	2	no	—
94	C₂²×Dic₁₃	—	2	1	no	—
95	#6127	—	4	2	no	—
96	#6127	—	4	2	no	—
97	C₂×D₅₂	—	2	1	no	—
98	C₂×D₅₂	—	2	1	no	—
99	C₂×D₅₂	—	2	1	no	—
100	C₂×D₅₂	—	4	2	no	—
101	C₂×D₅₂	C₂²×C₄	1	2	yes	—
102	C₂×D₅₂	C₂²×C₄	1	2	yes	—
103	C₂×C₄×D₁₃	—	2	2	no	—
104	C₂×C₄×D₁₃	—	2	2	no	—
105	C₂×C₄×D₁₃	—	2	2	no	—
106	C₂×C₄×D₁₃	—	4	2	no	—
107	C₂×C₄×D₁₃	—	4	2	no	—
108	C₂×Dic₂₆	—	2	1	no	—
109	C₂×C₈×C₁₃	—	2	2	no	—
110	C₂×C₈×C₁₃	—	2	2	no	—
111	C₂×C₈×C₁₃	D₈	1	4	yes	complemented
112	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
113	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
114	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
118	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
119	C₄²×C₁₃	#41	1	1	yes	characteristic
120	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
121	#6103	—	2	2	no	—
122	#6103	—	2	2	no	—
123	#6103	—	2	2	no	—
124	#6103	—	2	2	no	—
125	C₄⋊Dic₁₃	—	2	1	no	—
126	C₄⋊Dic₁₃	—	2	1	no	—
127	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
128	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
129	#6099	—	4	2	no	—
130	C₂×#1055	—	2	2	no	—
131	C₂×#1055	—	2	2	no	—
132	C₂×#1055	—	4	2	no	—
133	D₁₀₄	—	4	4	no	—
134	#6094	—	4	4	no	—
135	#6094	—	4	4	no	—
136	#6094	—	4	4	no	—
137	C₈×D₁₃	—	4	4	no	—
138	#3100	—	13	1	no	—
139	#2931	—	13	1	no	—
140	C₂×#436	—	13	1	no	—
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	D₁₃	1	1	yes	characteristic, complemented
147	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
148	C₂²×D₁₃	—	2	2	no	—
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	C₂×C₄×C₁₃	—	2	2	no	—
154	C₂×C₄×C₁₃	—	4	1	no	—
155	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
158	C₂×C₄×C₁₃	C₂×D₈	1	2	yes	—
159	C₂×C₄×C₁₃	#135	1	2	yes	—
160	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
161	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
163	C₂²⋊D₁₃	—	4	4	no	—
164	C₂×Dic₁₃	—	2	2	no	—
165	C₂×Dic₁₃	—	2	2	no	—
166	C₂×Dic₁₃	—	4	2	no	—
167	D₅₂	—	2	2	no	—
168	D₅₂	—	2	4	no	—
169	D₅₂	—	2	2	no	—
170	D₅₂	—	4	2	no	—
171	D₅₂	—	4	2	no	—
172	D₅₂	—	4	2	no	—
173	C₄×D₁₃	—	4	2	no	—
174	C₄×D₁₃	—	4	2	no	—
175	C₄×D₁₃	—	4	2	no	—
176	C₄×D₁₃	—	4	2	no	—
177	C₄×D₁₃	—	4	4	no	—
178	Dic₂₆	—	4	2	no	—
179	C₈×C₁₃	—	2	4	no	—
180	C₈×C₁₃	—	2	1	no	—
181	C₈×C₁₃	—	2	1	no	—
182	C₈×C₁₃	—	4	2	no	—
183	C₈×C₁₃	C₂×D₈	1	2	yes	—
184	C₈×C₁₃	C₂×D₈	1	2	yes	—
185	#1055	—	4	2	no	—
186	#1055	—	4	2	no	—
187	C₂×#131	—	26	1	no	—
188	C₂²×M₁₆	—	26	1	no	—
189	#532	—	13	1	no	—
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	—	13	2	no	—
197	#436	—	13	2	no	—
198	#436	—	13	2	no	—
199	#436	—	26	1	no	—
200	#436	—	26	1	no	—
201	#436	—	26	1	no	—
202	C₈×D₄	—	13	2	no	—
203	C₈×D₄	—	26	1	no	—
204	#431	C₂×D₁₃	1	1	yes	characteristic
205	#431	C₂×D₁₃	1	1	yes	characteristic
206	#423	—	13	1	no	—
207	C₂×C₄⋊C₈	—	13	1	no	—
208	#408	—	26	1	no	—
209	C₂×C₂²⋊C₈	—	26	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	C₂×D₁₃	1	2	yes	complemented
215	C₈²	C₂×D₁₃	1	2	yes	complemented
216	C₂²×C₁₃	—	2	1	no	—
217	C₂²×C₁₃	—	2	1	no	—
218	C₂²×C₁₃	C₄×D₈	1	2	yes	—
219	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
220	C₂×D₁₃	—	4	2	no	—
221	C₂×D₁₃	—	4	2	no	—
222	C₂×D₁₃	—	4	2	no	—
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	C₄×D₈	1	2	yes	—
231	C₄×C₁₃	#568	1	2	yes	—
232	C₄×C₁₃	C₂²×D₈	1	1	yes	characteristic
233	C₄×C₁₃	C₂×#135	1	1	yes	characteristic
234	Dic₁₃	—	4	2	no	—
235	Dic₁₃	—	4	2	no	—
236	C₂×#41	—	26	1	no	—
237	C₂²×D₄	—	13	1	no	—
238	C₂³×C₄	—	26	1	no	—
239	C₂×D₈	—	13	4	no	—
240	#131	—	52	4	no	—
241	C₂×M₁₆	—	26	1	no	—
242	C₂×M₁₆	—	26	2	no	—
243	C₂×M₁₆	—	26	2	no	—
244	C₂×M₁₆	—	26	2	no	—
245	C₂×M₁₆	—	52	4	no	—
246	C₂²×C₈	—	26	1	no	—
247	C₂²×C₈	—	26	2	no	—
248	C₂²×C₈	D₅₂	1	1	yes	characteristic
249	C₂²×C₈	D₅₂	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	—	13	2	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	—	26	1	no	—
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	C₄×D₁₃	1	2	yes	—
271	#102	—	13	4	no	—
272	#102	—	13	4	no	—
273	C₂²⋊C₈	—	2	1	no	—
274	C₂²⋊C₈	—	26	2	no	—
275	C₂²⋊C₈	—	26	2	no	—
276	C₂²⋊C₈	—	26	2	no	—
277	C₂²⋊C₈	—	26	2	no	—
278	C₂²⋊C₈	C₄×D₁₃	1	2	yes	—
279	C₄×C₈	D₅₂	1	1	yes	characteristic
280	C₄×C₈	D₅₂	1	1	yes	characteristic
281	C₄×C₈	C₂²×D₁₃	1	2	yes	—
282	C₄×C₈	C₂²×D₁₃	1	2	yes	—
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	#2930	1	1	yes	characteristic
287	C₂×C₁₃	C₂×C₄×D₈	1	1	yes	characteristic
288	C₂×C₁₃	#2955	1	1	yes	characteristic
289	D₁₃	—	8	2	no	—
290	D₁₃	—	8	2	no	—
291	C₂⁴	—	26	1	no	—
292	#41	—	52	2	no	—
293	#41	—	52	2	no	—
294	C₂×Q₈	—	26	1	no	—
295	C₂×D₄	—	13	2	no	—
296	C₂×D₄	—	13	2	no	—
297	C₂×D₄	—	26	2	no	—
298	C₂×D₄	—	26	1	no	—
299	C₂×D₄	—	26	1	no	—
300	C₂×D₄	—	26	1	no	—
301	C₂×D₄	—	52	2	no	—
302	C₂²×C₄	—	26	1	no	—
303	C₂²×C₄	—	26	2	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	C₂×D₅₂	1	1	yes	characteristic
310	C₂²×C₄	#6127	1	1	yes	characteristic
311	D₈	—	52	4	no	—
312	M₁₆	—	52	2	no	—
313	M₁₆	—	52	4	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	—	26	2	no	—
319	C₂×C₈	—	26	2	no	—
320	C₂×C₈	—	52	2	no	—
321	C₂×C₈	—	52	4	no	—
322	C₂×C₈	D₁₀₄	1	4	yes	complemented
323	C₂×C₈	C₂×C₄×D₁₃	1	4	yes	—
324	C₂×C₈	C₂×D₅₂	1	1	yes	characteristic
325	C₂×C₈	C₂×D₅₂	1	1	yes	characteristic
326	C₂×C₈	C₂×D₅₂	1	1	yes	characteristic
327	C₂×C₈	C₂×D₅₂	1	1	yes	characteristic
328	C₄⋊C₄	—	13	2	no	—
329	C₄⋊C₄	—	13	2	no	—
330	C₄⋊C₄	—	26	1	no	—
331	C₄⋊C₄	—	26	1	no	—
332	C₂²⋊C₄	—	26	2	no	—
333	C₂²⋊C₄	—	26	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	C₂×D₅₂	1	1	yes	characteristic
338	C₄²	#6127	1	1	yes	characteristic
339	C₄²	C₂³×D₁₃	1	1	yes	characteristic
340	C₁₃	#17928	1	1	yes	characteristic, complemented, Sylow
341	C₂³	—	26	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×D₅₂	1	1	yes	characteristic
347	Q₈	—	52	2	no	—
348	D₄	—	26	2	no	—
349	D₄	—	26	4	no	—
350	D₄	—	26	2	no	—
351	D₄	—	52	2	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	—	4	1	no	—
357	C₂×C₄	—	26	2	no	—
358	C₂×C₄	—	26	2	no	—
359	C₂×C₄	—	52	2	no	—
360	C₂×C₄	—	52	2	no	—
361	C₂×C₄	—	52	2	no	—
362	C₂×C₄	—	52	2	no	—
363	C₂×C₄	—	52	2	no	—
364	C₂×C₄	—	52	4	no	—
365	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
366	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
367	C₂×C₄	C₄×D₅₂	1	1	yes	characteristic
368	C₂×C₄	C₂×D₁₀₄	1	2	yes	—
369	C₂×C₄	#88158	1	2	yes	—
370	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
371	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
372	C₂×C₄	C₂×#6127	1	1	yes	characteristic
373	C₈	—	2	1	no	—
374	C₈	—	2	1	no	—
375	C₈	—	2	4	no	—
376	C₈	—	4	2	no	—
377	C₈	—	52	2	no	—
378	C₈	—	52	2	no	—
379	C₈	C₂×D₁₀₄	1	2	yes	—
380	C₈	C₂×D₁₀₄	1	2	yes	—
381	C₂²	—	2	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	52	2	no	—
384	C₂²	—	52	2	no	—
385	C₂²	—	52	2	no	—
386	C₂²	—	52	2	no	—
387	C₂²	—	52	2	no	—
388	C₂²	—	52	2	no	—
389	C₂²	—	104	4	no	—
390	C₂²	C₄×D₁₀₄	1	2	yes	—
391	C₂²	C₂×C₄×D₅₂	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	2	1	no	—
395	C₄	—	52	2	no	—
396	C₄	—	52	2	no	—
397	C₄	C₄×D₁₀₄	1	2	yes	—
398	C₄	C₂²×D₁₀₄	1	1	yes	characteristic
399	C₄	C₂×#88158	1	1	yes	characteristic
400	C₄	#11719455	1	2	yes	—
401	C₂	—	2	2	no	—
402	C₂	—	104	2	no	—
403	C₂	—	104	2	no	—
404	C₂	#13123541	1	1	yes	characteristic
405	C₂	C₂×C₄×D₁₀₄	1	1	yes	characteristic
406	C₂	#13123740	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₅₂
commutator	C₂×C₄×C₁₃	C₂³×C₄
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#1450	C₂
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	#13124837	C₂
cosocle	C₄²×C₁₃	C₂⁴
hypercenter	#1450	D₁₃
hypocenter	C₁₃	#17928
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄×C₈ ◁ #1450

Complements

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

N	H ≅ G/N	type
2. #13123549	C₂	semidirect
3. C₂×#11718349	C₂	semidirect
4. #13113722	C₂	semidirect
5. #13113667	C₂	semidirect
6. #13113611	C₂	semidirect
7. #13113262	C₂	semidirect
8. #13113236	C₂	semidirect
9. C₁₃×#1450	C₂	semidirect
31. #11718349	C₂²	semidirect
33. C₈×D₅₂	C₂²	semidirect
34. C₁₃×#322	C₂²	semidirect
35. C₈²×C₁₃	C₂²	semidirect
37. #11718051	C₂²	semidirect
38. #11718050	C₂²	semidirect
111. C₂×C₈×C₁₃	D₈	semidirect
146. #1450	D₁₃	semidirect
214. #322	C₂×D₁₃	semidirect
215. C₈²	C₂×D₁₃	semidirect
322. C₂×C₈	D₁₀₄	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
#13124837	2
#13123549	2
C₂×#11718349	2
#13113722	2
#13113667	2
#13113611	2
#13113262	2
#13113236	2
C₁₃×#1450	2
#17928	13