Subgroups — #15846117

Order 3328.

710 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13125977	C₂	1	1	yes	maximal, characteristic, complemented
2	#13125774	C₂	1	1	yes	maximal, characteristic
3	C₂×#11718354	C₂	1	1	yes	maximal, characteristic
4	#13114308	C₂	1	4	yes	maximal, complemented
5	#13114184	C₂	1	4	yes	maximal, complemented
6	#13113584	C₂	1	1	yes	maximal, characteristic, complemented
7	#13113509	C₂	1	1	yes	maximal, characteristic, complemented
8	#13113505	C₂	1	1	yes	maximal, characteristic
9	C₁₃×#2960	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#533	C₂²	1	1	yes	characteristic
11	C₂²×#6095	—	2	1	no	—
12	C₂²×#6095	—	2	1	no	—
13	C₂×#88128	C₂²	1	1	yes	characteristic
14	C₂×#88123	C₂²	1	1	yes	characteristic
15	C₁₃×#446	—	2	1	no	—
16	C₁₃×#446	C₂²	1	2	yes	complemented
17	C₈×Q₈×C₁₃	—	2	1	no	—
18	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
19	C₁₃×#424	—	2	1	no	—
20	C₁₃×#423	C₂²	1	1	yes	characteristic
21	C₁₃×#405	—	2	1	no	—
22	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
23	#11718749	—	2	1	no	—
24	#11718746	—	2	1	no	—
25	#11718742	—	2	1	no	—
26	#11718740	—	2	1	no	—
27	#11718707	—	2	2	no	—
28	#11718704	—	2	2	no	—
29	#11718688	C₂²	1	4	yes	—
30	#11718681	C₂²	1	4	yes	complemented
31	#11718586	C₂²	1	1	yes	characteristic
32	#11718586	C₂²	1	1	yes	characteristic
33	#11718354	—	2	1	no	—
34	#11718354	—	2	1	no	—
35	#11718354	C₂²	1	2	yes	—
36	#11718354	C₂²	1	2	yes	—
37	#11718077	C₂²	1	4	yes	—
38	#11718074	C₂²	1	4	yes	complemented
39	#11718050	C₂²	1	2	yes	complemented
40	#11718049	C₂²	1	2	yes	complemented
41	C₂²×D₅₂	—	2	1	no	—
42	C₂²×D₅₂	—	2	1	no	—
43	C₂²×D₅₂	—	2	1	no	—
44	C₂²×Dic₂₆	—	2	1	no	—
45	C₂×C₁₃×M₁₆	—	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	D₄	1	1	yes	characteristic
49	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
50	C₁₃×#125	—	2	1	no	—
51	C₁₃×C₂²⋊Q₈	—	2	1	no	—
52	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
53	C₄×Q₈×C₁₃	—	2	1	no	—
54	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
55	C₁₃×#117	—	2	1	no	—
56	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
57	C₂×#6106	—	2	4	no	—
58	C₂×C₄⋊Dic₁₃	—	2	1	no	—
59	C₂×C₄⋊Dic₁₃	—	2	1	no	—
60	C₂×#6095	—	2	2	no	—
61	C₂×#6095	—	2	2	no	—
62	C₂×#6095	—	2	2	no	—
63	C₂×#6095	—	2	2	no	—
64	C₂×#6095	—	4	4	no	—
65	C₂×#6095	—	4	4	no	—
66	#88128	—	2	1	no	—
67	#88128	—	2	1	no	—
68	#88128	—	2	1	no	—
69	#88128	C₂³	1	2	yes	—
70	#88123	—	2	1	no	—
71	#88123	—	2	1	no	—
72	#88123	—	2	1	no	—
73	#88123	C₂³	1	2	yes	—
74	C₁₃×C₄⋊C₈	—	2	2	no	—
75	C₁₃×C₄⋊C₈	—	2	2	no	—
76	C₁₃×C₄⋊C₈	—	2	1	no	—
77	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
78	C₁₃×#97	—	2	2	no	—
79	C₄×C₈×C₁₃	—	2	2	no	—
80	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
81	C₄×C₈×C₁₃	D₄	1	1	yes	characteristic
82	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
84	#88075	—	2	4	no	—
85	C₂²⋊#1055	—	2	1	no	—
86	C₂²⋊#1055	—	2	1	no	—
87	#88049	—	2	4	no	—
88	#88048	—	2	4	no	—
89	C₄⋊#1055	C₂³	1	2	yes	—
90	C₄⋊#1055	C₂³	1	2	yes	—
91	C₄×#1055	—	2	1	no	—
92	C₄×#1055	—	2	1	no	—
93	#19202	—	13	1	no	maximal, Sylow
94	C₂³×D₁₃	—	4	1	no	—
95	C₂×Q₈×C₁₃	—	2	1	no	—
96	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
100	C₂²×Dic₁₃	—	4	1	no	—
101	C₂×D₅₂	—	2	2	no	—
102	C₂×D₅₂	—	2	2	no	—
103	C₂×D₅₂	—	2	2	no	—
104	C₂×D₅₂	—	4	2	no	—
105	C₂×D₅₂	—	4	2	no	—
106	C₂×D₅₂	—	4	1	no	—
107	C₂×D₅₂	—	4	1	no	—
108	C₂×D₅₂	—	4	1	no	—
109	C₂×D₅₂	—	8	2	no	—
110	C₂×D₅₂	—	8	2	no	—
111	C₂×Dic₂₆	—	2	2	no	—
112	C₂×Dic₂₆	—	4	2	no	—
113	C₂×Dic₂₆	—	4	2	no	—
114	C₂×Dic₂₆	—	4	1	no	—
115	C₁₃×M₁₆	—	4	2	no	—
116	C₂×C₈×C₁₃	—	2	2	no	—
117	C₂×C₈×C₁₃	—	2	2	no	—
118	C₂×C₈×C₁₃	SD₁₆	1	4	yes	complemented
119	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
123	C₁₃×C₄⋊C₄	—	2	1	no	—
124	C₁₃×C₄⋊C₄	—	2	1	no	—
125	C₁₃×C₄⋊C₄	—	2	1	no	—
126	C₁₃×C₄⋊C₄	—	2	2	no	—
127	C₁₃×C₄⋊C₄	—	2	2	no	—
128	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
129	C₁₃×C₂²⋊C₄	—	2	2	no	—
130	C₄²×C₁₃	—	2	2	no	—
131	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
133	C₄²×C₁₃	#41	1	1	yes	characteristic
134	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
135	#6106	—	8	4	no	—
136	C₄⋊Dic₁₃	—	2	2	no	—
137	C₄⋊Dic₁₃	—	2	2	no	—
138	C₄⋊Dic₁₃	—	4	1	no	—
139	C₄⋊Dic₁₃	—	4	1	no	—
140	C₂×#1055	—	2	2	no	—
141	C₂×#1055	—	2	2	no	—
142	#6095	—	4	4	no	—
143	#6095	—	4	4	no	—
144	#6095	—	4	4	no	—
145	#6095	—	4	4	no	—
146	#3229	—	13	1	no	—
147	#3208	—	13	1	no	—
148	C₂×#492	—	13	1	no	—
149	#2960	D₁₃	1	1	yes	characteristic, complemented
150	#1686	—	13	4	no	—
151	#1666	—	13	4	no	—
152	#1564	—	13	1	no	—
153	#1546	—	13	1	no	—
154	#1545	—	13	1	no	—
155	C₂³×C₁₃	#121	1	1	yes	characteristic
156	C₂²×D₁₃	—	4	2	no	—
157	C₂²×D₁₃	—	8	2	no	—
158	C₂²×D₁₃	—	8	2	no	—
159	C₂²×D₁₃	—	8	2	no	—
160	Q₈×C₁₃	—	2	4	no	—
161	Q₈×C₁₃	—	4	2	no	—
162	C₂×C₄×C₁₃	—	2	2	no	—
163	C₂×C₄×C₁₃	—	2	2	no	—
164	C₂×C₄×C₁₃	—	2	2	no	—
165	C₂×C₄×C₁₃	—	2	2	no	—
166	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
167	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
168	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
169	C₂×C₄×C₁₃	C₂×SD₁₆	1	2	yes	—
170	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
171	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
173	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
174	C₂×Dic₁₃	—	4	2	no	—
175	C₂×Dic₁₃	—	8	2	no	—
176	D₅₂	—	4	2	no	—
177	D₅₂	—	4	2	no	—
178	D₅₂	—	4	4	no	—
179	D₅₂	—	8	2	no	—
180	D₅₂	—	8	2	no	—
181	D₅₂	—	8	2	no	—
182	D₅₂	—	8	2	no	—
183	Dic₂₆	—	4	2	no	—
184	Dic₂₆	—	4	2	no	—
185	Dic₂₆	—	8	2	no	—
186	C₈×C₁₃	—	2	1	no	—
187	C₈×C₁₃	—	2	1	no	—
188	C₈×C₁₃	—	4	2	no	—
189	C₈×C₁₃	C₂×SD₁₆	1	2	yes	—
190	C₈×C₁₃	C₂×SD₁₆	1	2	yes	—
191	#1055	—	4	2	no	—
192	#1055	—	4	2	no	—
193	C₂²×SD₁₆	—	26	1	no	—
194	C₂²×SD₁₆	—	26	1	no	—
195	#533	C₂×D₁₃	1	1	yes	characteristic
196	C₂×C₄⋊Q₈	—	13	1	no	—
197	C₂×#127	—	13	1	no	—
198	#498	—	26	1	no	—
199	#492	—	13	2	no	—
200	#492	—	13	2	no	—
201	#492	—	26	1	no	—
202	#492	—	26	1	no	—
203	#492	—	26	1	no	—
204	#487	—	26	1	no	—
205	#486	—	26	1	no	—
206	#483	—	26	2	no	—
207	#475	—	13	4	no	—
208	#460	—	13	4	no	—
209	#450	—	26	2	no	—
210	#446	—	2	1	no	—
211	#446	C₂×D₁₃	1	2	yes	complemented
212	C₈×Q₈	—	2	1	no	—
213	C₈×Q₈	C₂×D₁₃	1	2	yes	complemented
214	#431	—	13	1	no	—
215	#431	—	13	1	no	—
216	#424	—	2	1	no	—
217	#423	C₂×D₁₃	1	1	yes	characteristic
218	#405	—	2	1	no	—
219	C₂×C₄×C₈	C₂×D₁₃	1	1	yes	characteristic
220	#335	—	13	2	no	—
221	#334	—	13	2	no	—
222	#332	—	13	4	no	—
223	#331	—	13	4	no	—
224	C₂²×C₁₃	—	2	1	no	—
225	C₂²×C₁₃	—	2	1	no	—
226	C₂²×C₁₃	#460	1	2	yes	—
227	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
228	C₂×D₁₃	—	8	2	no	—
229	C₂×D₁₃	—	8	2	no	—
230	C₂×D₁₃	—	8	2	no	—
231	C₂×D₁₃	—	16	4	no	—
232	C₄×C₁₃	—	2	1	no	—
233	C₄×C₁₃	—	2	1	no	—
234	C₄×C₁₃	—	4	2	no	—
235	C₄×C₁₃	—	4	2	no	—
236	C₄×C₁₃	#460	1	2	yes	—
237	C₄×C₁₃	#471	1	2	yes	—
238	C₄×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
239	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
240	C₄×C₁₃	#577	1	2	yes	—
241	Dic₁₃	—	8	2	no	—
242	C₂²×Q₈	—	26	1	no	—
243	C₂²×D₄	—	26	1	no	—
244	C₂²×D₄	—	26	1	no	—
245	C₂²×D₄	—	26	1	no	—
246	C₂×SD₁₆	—	26	4	no	—
247	C₂×SD₁₆	—	26	2	no	—
248	C₂×SD₁₆	—	26	2	no	—
249	C₂×SD₁₆	—	26	2	no	—
250	C₂×SD₁₆	—	26	2	no	—
251	C₂×SD₁₆	—	52	4	no	—
252	C₂×SD₁₆	—	52	4	no	—
253	C₂×M₁₆	—	2	1	no	—
254	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
255	C₂²×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
256	C₄⋊Q₈	—	13	2	no	—
257	C₄⋊Q₈	—	26	1	no	—
258	C₄⋊Q₈	—	26	1	no	—
259	C₄⋊Q₈	—	26	1	no	—
260	C₄⋊Q₈	D₅₂	1	1	yes	characteristic
261	C₄⋊Q₈	D₅₂	1	1	yes	characteristic
262	#127	—	13	2	no	—
263	#127	—	26	1	no	—
264	#127	—	26	1	no	—
265	#127	—	26	1	no	—
266	#125	—	2	1	no	—
267	C₂²⋊Q₈	—	2	1	no	—
268	C₂²⋊Q₈	D₅₂	1	2	yes	—
269	C₄×Q₈	—	2	1	no	—
270	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
271	#117	—	2	1	no	—
272	C₂×C₄⋊C₄	—	26	1	no	—
273	C₂×C₄⋊C₄	—	26	1	no	—
274	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
275	#106	—	26	4	no	—
276	C₄⋊C₈	—	2	2	no	—
277	C₄⋊C₈	—	2	2	no	—
278	C₄⋊C₈	—	2	1	no	—
279	C₄⋊C₈	—	13	2	no	—
280	C₄⋊C₈	—	13	2	no	—
281	C₄⋊C₈	C₂²×D₁₃	1	2	yes	—
282	#103	—	26	4	no	—
283	#102	—	26	4	no	—
284	C₂²⋊C₈	—	26	1	no	—
285	C₂²⋊C₈	—	26	1	no	—
286	#97	—	2	2	no	—
287	C₄×C₈	—	2	2	no	—
288	C₄×C₈	—	26	1	no	—
289	C₄×C₈	—	26	1	no	—
290	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
291	C₄×C₈	C₂²⋊D₁₃	1	1	yes	characteristic
292	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
293	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
294	C₂×C₁₃	—	2	2	no	—
295	C₂×C₁₃	C₂×#460	1	1	yes	characteristic
296	C₂×C₁₃	#3057	1	1	yes	characteristic
297	C₂×C₁₃	C₂×#471	1	1	yes	characteristic
298	D₁₃	—	16	2	no	—
299	C₂⁴	—	52	1	no	—
300	C₂×Q₈	—	2	1	no	—
301	C₂×Q₈	—	26	2	no	—
302	C₂×Q₈	—	52	1	no	—
303	C₂×Q₈	—	52	2	no	—
304	C₂×Q₈	—	52	2	no	—
305	C₂×Q₈	C₂×D₅₂	1	2	yes	—
306	C₂×D₄	—	26	2	no	—
307	C₂×D₄	—	26	2	no	—
308	C₂×D₄	—	26	2	no	—
309	C₂×D₄	—	52	1	no	—
310	C₂×D₄	—	52	1	no	—
311	C₂×D₄	—	52	1	no	—
312	C₂×D₄	—	52	2	no	—
313	C₂×D₄	—	52	2	no	—
314	C₂×D₄	—	104	2	no	—
315	C₂×D₄	—	104	2	no	—
316	C₂²×C₄	—	52	1	no	—
317	C₂²×C₄	C₂×D₅₂	1	1	yes	characteristic
318	C₂²×C₄	#6127	1	1	yes	characteristic
319	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
320	SD₁₆	—	52	4	no	—
321	SD₁₆	—	52	4	no	—
322	SD₁₆	—	52	4	no	—
323	SD₁₆	—	52	4	no	—
324	SD₁₆	—	104	4	no	—
325	M₁₆	—	4	2	no	—
326	C₂×C₈	—	2	2	no	—
327	C₂×C₈	—	2	2	no	—
328	C₂×C₈	—	26	2	no	—
329	C₂×C₈	—	26	2	no	—
330	C₂×C₈	#6106	1	4	yes	complemented
331	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
332	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
333	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
334	C₂×C₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
335	C₄⋊C₄	—	2	1	no	—
336	C₄⋊C₄	—	2	1	no	—
337	C₄⋊C₄	—	2	1	no	—
338	C₄⋊C₄	—	2	2	no	—
339	C₄⋊C₄	—	2	2	no	—
340	C₄⋊C₄	—	26	2	no	—
341	C₄⋊C₄	—	26	2	no	—
342	C₄⋊C₄	—	52	1	no	—
343	C₄⋊C₄	—	52	1	no	—
344	C₄⋊C₄	C₂×D₅₂	1	2	yes	—
345	C₂²⋊C₄	—	2	2	no	—
346	C₄²	—	2	2	no	—
347	C₄²	C₂×D₅₂	1	1	yes	characteristic
348	C₄²	#6127	1	1	yes	characteristic
349	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
350	C₄²	C₂³×D₁₃	1	1	yes	characteristic
351	C₁₃	#19202	1	1	yes	characteristic, complemented, Sylow
352	C₂³	—	52	2	no	—
353	C₂³	—	104	2	no	—
354	C₂³	—	104	2	no	—
355	C₂³	—	104	2	no	—
356	C₂³	#88184	1	1	yes	characteristic
357	Q₈	—	2	4	no	—
358	Q₈	—	4	2	no	—
359	Q₈	—	52	2	no	—
360	Q₈	—	52	2	no	—
361	Q₈	—	104	2	no	—
362	D₄	—	52	4	no	—
363	D₄	—	52	2	no	—
364	D₄	—	52	2	no	—
365	D₄	—	104	2	no	—
366	D₄	—	104	2	no	—
367	D₄	—	104	2	no	—
368	D₄	—	104	2	no	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	2	2	no	—
372	C₂×C₄	—	2	2	no	—
373	C₂×C₄	—	52	2	no	—
374	C₂×C₄	—	104	2	no	—
375	C₂×C₄	#88184	1	1	yes	characteristic
376	C₂×C₄	#88184	1	1	yes	characteristic
377	C₂×C₄	#88184	1	1	yes	characteristic
378	C₂×C₄	C₂×#6106	1	2	yes	—
379	C₂×C₄	#88203	1	2	yes	—
380	C₂×C₄	C₂²×D₅₂	1	1	yes	characteristic
381	C₂×C₄	C₂×#6127	1	1	yes	characteristic
382	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
383	C₈	—	2	1	no	—
384	C₈	—	2	1	no	—
385	C₈	—	4	2	no	—
386	C₈	—	52	2	no	—
387	C₈	—	52	2	no	—
388	C₈	C₂×#6106	1	2	yes	—
389	C₈	C₂×#6106	1	2	yes	—
390	C₂²	—	2	1	no	—
391	C₂²	—	2	1	no	—
392	C₂²	—	104	2	no	—
393	C₂²	—	104	2	no	—
394	C₂²	—	104	2	no	—
395	C₂²	—	208	4	no	—
396	C₂²	#11718688	1	2	yes	—
397	C₂²	C₂×#88184	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	4	2	no	—
401	C₄	—	4	2	no	—
402	C₄	—	104	2	no	—
403	C₄	#11718688	1	2	yes	—
404	C₄	#11718802	1	2	yes	—
405	C₄	#11719456	1	2	yes	—
406	C₄	C₂²×#6106	1	1	yes	characteristic
407	C₄	C₂×#88203	1	1	yes	characteristic
408	C₂	—	2	2	no	—
409	C₂	—	208	2	no	—
410	C₂	C₂×#11718688	1	1	yes	characteristic
411	C₂	#13124475	1	1	yes	characteristic
412	C₂	C₂×#11718802	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#88184
commutator, cosocle	C₄²×C₁₃	C₂⁴
Frattini	C₄²	C₂³×D₁₃
Fitting	C₁₃×#2960	C₂
socle	C₂²×C₁₃	C₂×#121
prime radical	C₂×#88128	C₂²
hypercenter	#2960	D₁₃
hypocenter	C₁₃	#19202
LCS	G ▷ C₄²×C₁₃ ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #2960

Complements

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

N	H ≅ G/N	type
1. #13125977	C₂	semidirect
4. #13114308	C₂	semidirect
5. #13114184	C₂	semidirect
6. #13113584	C₂	semidirect
7. #13113509	C₂	semidirect
9. C₁₃×#2960	C₂	semidirect
16. C₁₃×#446	C₂²	semidirect
18. C₈×Q₈×C₁₃	C₂²	semidirect
30. #11718681	C₂²	semidirect
38. #11718074	C₂²	semidirect
39. #11718050	C₂²	semidirect
40. #11718049	C₂²	semidirect
118. C₂×C₈×C₁₃	SD₁₆	semidirect
149. #2960	D₁₃	semidirect
211. #446	C₂×D₁₃	semidirect
213. C₈×Q₈	C₂×D₁₃	semidirect
330. C₂×C₈	#6106	semidirect
351. C₁₃	#19202	semidirect

Maximal subgroups

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

subgroup	index
#13125977	2
#13125774	2
C₂×#11718354	2
#13114308	2
#13114184	2
#13113584	2
#13113509	2
#13113505	2
C₁₃×#2960	2
#19202	13