Subgroups — C₂×D₁₃×#365 #16015924

Order 3328.

702 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₁₃×M₃₂	C₂	1	1	yes	maximal, characteristic
2	C₂×D₁₃×#108	C₂	1	1	yes	maximal, characteristic
3	C₂×D₁₃×#106	C₂	1	1	yes	maximal, characteristic
4	C₂×#11718086	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11718105	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11718079	C₂	1	1	yes	maximal, characteristic, complemented
7	D₁₃×#365	C₂	1	8	yes	maximal, direct product factor
8	C₂×C₁₃×#365	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×M₁₆×D₁₃	—	2	1	no	—
10	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
11	C₂×C₄⋊C₄×D₁₃	—	2	1	no	—
12	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
14	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
15	C₂×#88062	—	2	1	no	—
16	C₂×#88059	C₂²	1	1	yes	characteristic
17	C₂×#88057	C₂²	1	1	yes	characteristic
18	C₂×#88052	C₂²	1	1	yes	characteristic
19	C₂×#88048	—	2	1	no	—
20	D₁₃×M₃₂	C₄	1	4	yes	complemented
21	D₁₃×M₃₂	C₂²	1	4	yes	—
22	C₂×#88038	C₄	1	2	yes	complemented
23	C₂×C₁₆×D₁₃	C₄	1	2	yes	complemented
24	D₁₃×#108	—	2	2	no	—
25	D₁₃×#108	C₂²	1	4	yes	—
26	D₁₃×#106	—	2	2	no	—
27	D₁₃×#106	C₂²	1	4	yes	—
28	C₁₃×#365	C₂²	1	4	yes	complemented
29	#11718105	C₂²	1	4	yes	complemented
30	#11718086	C₂²	1	4	yes	complemented
31	#11718079	C₂²	1	4	yes	complemented
32	C₂²×C₄×D₁₃	—	4	1	no	—
33	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
34	C₂×C₁₃×M₁₆	—	2	1	no	—
35	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
36	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
37	C₂×C₄⋊Dic₁₃	—	2	1	no	—
38	C₂×#6101	—	4	1	no	—
39	C₂×#6099	—	2	1	no	—
40	C₂²×#1055	D₄	1	1	yes	characteristic
41	M₁₆×D₁₃	—	2	4	no	—
42	M₁₆×D₁₃	—	4	2	no	—
43	C₂×#6094	—	4	1	no	—
44	C₂×C₈×D₁₃	—	4	1	no	—
45	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
46	C₂×C₈×D₁₃	C₂×C₄	1	1	yes	characteristic
47	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
48	C₂×C₈×D₁₃	D₄	1	2	yes	—
49	C₂×C₈×D₁₃	Q₈	1	2	yes	—
50	C₂×C₈×D₁₃	Q₈	1	1	yes	characteristic
51	C₂×C₈×D₁₃	Q₈	1	1	yes	characteristic
52	C₂×C₈×D₁₃	C₂³	1	2	yes	—
53	C₄⋊C₄×D₁₃	—	2	4	no	—
54	C₄⋊C₄×D₁₃	—	4	2	no	—
55	C₁₃×M₃₂	C₂×C₄	1	2	yes	complemented
56	C₁₃×M₃₂	C₂³	1	2	yes	—
57	C₂×C₁₃×C₁₆	C₂×C₄	1	2	yes	complemented
58	C₁₃×#108	—	2	1	no	—
59	C₁₃×#108	C₂³	1	2	yes	—
60	C₁₃×#106	—	2	1	no	—
61	C₁₃×#106	C₂³	1	2	yes	—
62	#88062	—	2	4	no	—
63	#88059	—	2	1	no	—
64	#88059	C₂³	1	2	yes	—
65	#88057	—	2	1	no	—
66	#88057	C₂³	1	2	yes	—
67	#88052	C₂×C₄	1	2	yes	complemented
68	#88052	C₂³	1	2	yes	—
69	C₂×#6090	C₂×C₄	1	2	yes	complemented
70	#88048	—	2	4	no	—
71	#88038	C₂×C₄	1	8	yes	complemented
72	C₁₆×D₁₃	C₂×C₄	1	8	yes	complemented
73	C₂²×#365	—	13	1	no	maximal, Sylow
74	C₂³×D₁₃	SD₁₆	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	—	4	1	no	—
76	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
77	C₂²×Dic₁₃	—	4	1	no	—
78	C₂²×Dic₁₃	SD₁₆	1	1	yes	characteristic
79	C₂×C₄×D₁₃	—	4	4	no	—
80	C₂×C₄×D₁₃	—	8	4	no	—
81	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
82	C₂×C₄×D₁₃	C₄⋊C₄	1	2	yes	—
83	C₂×C₄×D₁₃	C₄⋊C₄	1	1	yes	characteristic
84	C₂×C₄×D₁₃	SD₁₆	1	2	yes	—
85	C₂×C₄×D₁₃	SD₁₆	1	1	yes	characteristic
86	C₂×C₄×D₁₃	SD₁₆	1	1	yes	characteristic
87	C₂×C₄×D₁₃	SD₁₆	1	2	yes	—
88	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
89	C₁₃×M₁₆	—	2	2	no	—
90	C₁₃×M₁₆	—	4	1	no	—
91	C₂×C₈×C₁₃	—	4	1	no	—
92	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
93	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
94	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
95	C₂×C₈×C₁₃	C₂×Q₈	1	1	yes	characteristic
96	C₂×C₈×C₁₃	C₂×Q₈	1	1	yes	characteristic
97	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
98	C₁₃×C₄⋊C₄	—	2	2	no	—
99	C₁₃×C₄⋊C₄	—	4	1	no	—
100	C₄⋊Dic₁₃	—	2	2	no	—
101	C₄⋊Dic₁₃	—	4	1	no	—
102	#6101	—	4	4	no	—
103	#6099	—	2	2	no	—
104	#6099	—	4	1	no	—
105	C₂×#1055	—	4	1	no	—
106	C₂×#1055	C₄⋊C₄	1	1	yes	characteristic
107	C₂×#1055	C₄⋊C₄	1	1	yes	characteristic
108	C₂×#1055	C₄⋊C₄	1	2	yes	—
109	C₂×#1055	C₂×D₄	1	2	yes	—
110	#6094	—	4	4	no	—
111	C₈×D₁₃	—	4	4	no	—
112	C₈×D₁₃	C₄⋊C₄	1	2	yes	—
113	C₈×D₁₃	C₄⋊C₄	1	2	yes	—
114	C₈×D₁₃	C₄⋊C₄	1	2	yes	—
115	C₈×D₁₃	C₄⋊C₄	1	2	yes	—
116	C₈×D₁₃	C₂²×C₄	1	2	yes	—
117	C₈×D₁₃	C₂²×C₄	1	2	yes	—
118	C₈×D₁₃	C₂×Q₈	1	2	yes	—
119	C₈×D₁₃	C₂×Q₈	1	2	yes	—
120	C₁₃×C₁₆	C₂²×C₄	1	4	yes	complemented
121	#6090	C₂²×C₄	1	4	yes	complemented
122	C₂²×M₃₂	—	13	1	no	—
123	C₂²×#108	—	13	1	no	—
124	C₂²×#106	—	13	1	no	—
125	C₂×#365	—	13	1	no	—
126	C₂×#365	—	13	1	no	—
127	C₂×#365	—	13	1	no	—
128	C₂×#365	—	13	8	no	—
129	C₂×#365	D₁₃	1	1	yes	characteristic, direct product factor
130	C₂³×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
131	C₂²×D₁₃	—	2	4	no	—
132	C₂²×D₁₃	#106	1	1	yes	characteristic
133	C₂²×D₁₃	#106	1	2	yes	—
134	C₂²×D₁₃	#106	1	1	yes	characteristic
135	C₂²×D₁₃	C₂×SD₁₆	1	2	yes	—
136	C₂×C₄×C₁₃	—	4	2	no	—
137	C₂×C₄×C₁₃	—	8	2	no	—
138	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
141	C₂×C₄×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
142	C₂×C₄×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
143	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
144	C₂×Dic₁₃	—	4	2	no	—
145	C₂×Dic₁₃	—	8	2	no	—
146	C₂×Dic₁₃	#106	1	2	yes	—
147	C₂×Dic₁₃	#106	1	1	yes	characteristic
148	C₂×Dic₁₃	#106	1	1	yes	characteristic
149	C₂×Dic₁₃	C₂×SD₁₆	1	2	yes	—
150	C₄×D₁₃	—	8	8	no	—
151	C₄×D₁₃	#106	1	2	yes	—
152	C₄×D₁₃	#106	1	2	yes	—
153	C₄×D₁₃	#106	1	2	yes	—
154	C₄×D₁₃	#106	1	2	yes	—
155	C₄×D₁₃	C₂×C₄⋊C₄	1	2	yes	—
156	C₄×D₁₃	C₂×C₄⋊C₄	1	2	yes	—
157	C₄×D₁₃	C₂×SD₁₆	1	2	yes	—
158	C₄×D₁₃	C₂×SD₁₆	1	2	yes	—
159	C₈×C₁₃	—	4	2	no	—
160	C₈×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
161	C₈×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
162	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
163	C₈×C₁₃	C₂²×Q₈	1	1	yes	characteristic
164	#1055	—	4	2	no	—
165	#1055	C₂×C₄⋊C₄	1	2	yes	—
166	#1055	C₂×C₄⋊C₄	1	2	yes	—
167	C₂²×M₁₆	—	26	1	no	—
168	C₂³×C₈	—	13	1	no	—
169	C₂²×C₄⋊C₄	—	26	1	no	—
170	C₂×M₃₂	—	13	1	no	—
171	C₂×M₃₂	—	13	4	no	—
172	C₂×M₃₂	—	13	4	no	—
173	C₂×M₃₂	—	13	2	no	—
174	C₂×M₃₂	C₂×D₁₃	1	1	yes	characteristic
175	C₂²×C₁₆	—	13	2	no	—
176	C₂×#108	—	13	1	no	—
177	C₂×#108	—	13	4	no	—
178	C₂×#108	—	26	2	no	—
179	C₂×#108	—	26	1	no	—
180	C₂×#108	C₂×D₁₃	1	1	yes	characteristic
181	C₂×#106	—	13	1	no	—
182	C₂×#106	—	13	4	no	—
183	C₂×#106	—	26	2	no	—
184	C₂×#106	—	26	1	no	—
185	C₂×#106	C₂×D₁₃	1	1	yes	characteristic
186	#365	—	13	4	no	—
187	#365	—	13	4	no	—
188	#365	—	13	4	no	—
189	#365	C₂×D₁₃	1	4	yes	direct product factor
190	C₂²×C₁₃	—	2	2	no	—
191	C₂²×C₁₃	C₂×#106	1	1	yes	characteristic
192	C₂²×C₁₃	C₂×#106	1	1	yes	characteristic
193	C₂²×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
194	C₂×D₁₃	—	2	2	no	—
195	C₂×D₁₃	—	2	4	no	—
196	C₂×D₁₃	—	2	4	no	—
197	C₂×D₁₃	#365	1	4	yes	direct product factor
198	C₂×D₁₃	C₂×#106	1	2	yes	—
199	C₂×D₁₃	C₂×#106	1	2	yes	—
200	C₄×C₁₃	—	8	2	no	—
201	C₄×C₁₃	C₂×#106	1	1	yes	characteristic
202	C₄×C₁₃	C₂×#106	1	1	yes	characteristic
203	C₄×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
204	C₄×C₁₃	C₂²×SD₁₆	1	1	yes	characteristic
205	Dic₁₃	—	8	2	no	—
206	Dic₁₃	C₂×#106	1	2	yes	—
207	Dic₁₃	C₂×#106	1	2	yes	—
208	C₂³×C₄	—	13	1	no	—
209	C₂³×C₄	—	52	1	no	—
210	C₂×M₁₆	—	2	1	no	—
211	C₂×M₁₆	—	26	4	no	—
212	C₂×M₁₆	—	26	1	no	—
213	C₂×M₁₆	—	52	1	no	—
214	C₂×M₁₆	—	52	2	no	—
215	C₂²×C₈	—	13	1	no	—
216	C₂²×C₈	—	13	1	no	—
217	C₂²×C₈	—	13	2	no	—
218	C₂²×C₈	—	13	1	no	—
219	C₂²×C₈	—	13	2	no	—
220	C₂²×C₈	—	13	2	no	—
221	C₂²×C₈	—	13	1	no	—
222	C₂²×C₈	—	13	1	no	—
223	C₂²×C₈	—	13	2	no	—
224	C₂²×C₈	—	52	1	no	—
225	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	—	26	4	no	—
228	C₂×C₄⋊C₄	—	26	1	no	—
229	C₂×C₄⋊C₄	—	52	2	no	—
230	C₂×C₄⋊C₄	—	52	1	no	—
231	M₃₂	—	13	2	no	—
232	M₃₂	—	13	2	no	—
233	M₃₂	—	13	8	no	—
234	M₃₂	C₄×D₁₃	1	2	yes	complemented
235	M₃₂	C₂²×D₁₃	1	2	yes	—
236	C₂×C₁₆	—	13	2	no	—
237	C₂×C₁₆	—	13	8	no	—
238	C₂×C₁₆	C₄×D₁₃	1	2	yes	complemented
239	#108	—	2	1	no	—
240	#108	—	13	2	no	—
241	#108	—	26	4	no	—
242	#108	—	26	1	no	—
243	#108	C₂²×D₁₃	1	2	yes	—
244	#106	—	2	1	no	—
245	#106	—	13	2	no	—
246	#106	—	26	4	no	—
247	#106	—	26	1	no	—
248	#106	C₂²×D₁₃	1	2	yes	—
249	C₂×C₁₃	—	2	1	no	—
250	C₂×C₁₃	—	2	1	no	—
251	C₂×C₁₃	C₂×#365	1	2	yes	complemented
252	C₂×C₁₃	C₂²×#106	1	1	yes	characteristic
253	D₁₃	—	2	2	no	—
254	D₁₃	C₂×#365	1	4	yes	direct product factor
255	C₂⁴	—	13	1	no	—
256	C₂²×C₄	—	4	1	no	—
257	C₂²×C₄	—	13	1	no	—
258	C₂²×C₄	—	13	2	no	—
259	C₂²×C₄	—	13	1	no	—
260	C₂²×C₄	—	13	1	no	—
261	C₂²×C₄	—	13	2	no	—
262	C₂²×C₄	—	13	1	no	—
263	C₂²×C₄	—	13	2	no	—
264	C₂²×C₄	—	13	1	no	—
265	C₂²×C₄	—	13	2	no	—
266	C₂²×C₄	—	52	4	no	—
267	C₂²×C₄	—	52	1	no	—
268	C₂²×C₄	—	104	4	no	—
269	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
270	M₁₆	—	2	2	no	—
271	M₁₆	—	4	1	no	—
272	M₁₆	—	26	2	no	—
273	M₁₆	—	52	4	no	—
274	M₁₆	—	52	1	no	—
275	C₂×C₈	—	4	1	no	—
276	C₂×C₈	—	13	2	no	—
277	C₂×C₈	—	13	1	no	—
278	C₂×C₈	—	13	1	no	—
279	C₂×C₈	—	13	2	no	—
280	C₂×C₈	—	13	2	no	—
281	C₂×C₈	—	13	2	no	—
282	C₂×C₈	—	13	2	no	—
283	C₂×C₈	—	13	2	no	—
284	C₂×C₈	—	13	2	no	—
285	C₂×C₈	—	13	2	no	—
286	C₂×C₈	—	13	2	no	—
287	C₂×C₈	—	13	2	no	—
288	C₂×C₈	—	52	4	no	—
289	C₂×C₈	—	52	1	no	—
290	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
291	C₂×C₈	C₂×C₄×D₁₃	1	1	yes	characteristic
292	C₂×C₈	D₄×D₁₃	1	1	yes	characteristic
293	C₂×C₈	Q₈×D₁₃	1	1	yes	characteristic
294	C₂×C₈	Q₈×D₁₃	1	1	yes	characteristic
295	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	26	2	no	—
299	C₄⋊C₄	—	52	4	no	—
300	C₄⋊C₄	—	52	1	no	—
301	C₁₆	—	13	4	no	—
302	C₁₆	C₂×C₄×D₁₃	1	4	yes	complemented
303	C₁₃	C₂²×#365	1	1	yes	characteristic, complemented, Sylow
304	C₂³	—	13	1	no	—
305	C₂³	—	13	2	no	—
306	C₂³	—	13	2	no	—
307	C₂³	—	13	1	no	—
308	C₂³	—	26	4	no	—
309	C₂³	SD₁₆×D₁₃	1	1	yes	characteristic
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	8	2	no	—
312	C₂×C₄	—	13	2	no	—
313	C₂×C₄	—	13	2	no	—
314	C₂×C₄	—	13	1	no	—
315	C₂×C₄	—	13	1	no	—
316	C₂×C₄	—	13	2	no	—
317	C₂×C₄	—	13	2	no	—
318	C₂×C₄	—	13	2	no	—
319	C₂×C₄	—	13	2	no	—
320	C₂×C₄	—	13	2	no	—
321	C₂×C₄	—	13	2	no	—
322	C₂×C₄	—	13	2	no	—
323	C₂×C₄	—	13	2	no	—
324	C₂×C₄	—	52	2	no	—
325	C₂×C₄	—	104	8	no	—
326	C₂×C₄	—	104	2	no	—
327	C₂×C₄	C₄⋊C₄×D₁₃	1	1	yes	characteristic
328	C₂×C₄	C₄⋊C₄×D₁₃	1	1	yes	characteristic
329	C₂×C₄	SD₁₆×D₁₃	1	1	yes	characteristic
330	C₂×C₄	SD₁₆×D₁₃	1	1	yes	characteristic
331	C₂×C₄	SD₁₆×D₁₃	1	1	yes	characteristic
332	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
333	C₈	—	4	2	no	—
334	C₈	—	13	2	no	—
335	C₈	—	13	2	no	—
336	C₈	—	52	2	no	—
337	C₈	C₄⋊C₄×D₁₃	1	1	yes	characteristic
338	C₈	C₄⋊C₄×D₁₃	1	1	yes	characteristic
339	C₈	C₂²×C₄×D₁₃	1	1	yes	characteristic
340	C₈	C₂×Q₈×D₁₃	1	1	yes	characteristic
341	C₂²	—	2	2	no	—
342	C₂²	—	13	2	no	—
343	C₂²	—	13	4	no	—
344	C₂²	—	13	2	no	—
345	C₂²	—	26	4	no	—
346	C₂²	—	26	4	no	—
347	C₂²	—	26	2	no	—
348	C₂²	D₁₃×#106	1	1	yes	characteristic
349	C₂²	D₁₃×#106	1	1	yes	characteristic
350	C₂²	C₂×SD₁₆×D₁₃	1	1	yes	characteristic
351	C₄	—	8	2	no	—
352	C₄	—	13	2	no	—
353	C₄	—	13	2	no	—
354	C₄	—	104	2	no	—
355	C₄	D₁₃×#106	1	1	yes	characteristic
356	C₄	D₁₃×#106	1	1	yes	characteristic
357	C₄	C₂×C₄⋊C₄×D₁₃	1	1	yes	characteristic
358	C₄	C₂×SD₁₆×D₁₃	1	1	yes	characteristic
359	C₂	—	2	1	no	—
360	C₂	—	2	1	no	—
361	C₂	—	13	4	no	—
362	C₂	—	26	2	no	—
363	C₂	D₁₃×#365	1	2	yes	direct product factor
364	C₂	C₂×D₁₃×#106	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₁₃×#106
commutator	C₈×C₁₃	C₂³×C₄
Frattini	C₂×C₈	C₂³×D₁₃
Fitting	C₂×C₁₃×#365	C₂
socle	C₂²×C₁₃	C₂×#106
prime radical	C₂³×D₁₃	SD₁₆
cosocle	C₂×C₈×C₁₃	C₂⁴
hypercenter	C₂×#365	D₁₃
hypocenter	C₁₃	C₂²×#365
LCS	G ▷ C₈×C₁₃ ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#365

Complements

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

N	H ≅ G/N	type
4. C₂×#11718086	C₂	semidirect
5. C₂×#11718105	C₂	semidirect
6. C₂×#11718079	C₂	semidirect
7. D₁₃×#365	C₂	direct (N × H)
8. C₂×C₁₃×#365	C₂	semidirect
20. D₁₃×M₃₂	C₄	semidirect
22. C₂×#88038	C₄	semidirect
23. C₂×C₁₆×D₁₃	C₄	semidirect
28. C₁₃×#365	C₂²	semidirect
29. #11718105	C₂²	semidirect
30. #11718086	C₂²	semidirect
31. #11718079	C₂²	semidirect
55. C₁₃×M₃₂	C₂×C₄	semidirect
57. C₂×C₁₃×C₁₆	C₂×C₄	semidirect
67. #88052	C₂×C₄	semidirect
69. C₂×#6090	C₂×C₄	semidirect
71. #88038	C₂×C₄	semidirect
72. C₁₆×D₁₃	C₂×C₄	semidirect
120. C₁₃×C₁₆	C₂²×C₄	semidirect
121. #6090	C₂²×C₄	semidirect
129. C₂×#365	D₁₃	direct (N × H)
189. #365	C₂×D₁₃	direct (N × H)
197. C₂×D₁₃	#365	direct (N × H)
234. M₃₂	C₄×D₁₃	semidirect
238. C₂×C₁₆	C₄×D₁₃	semidirect
251. C₂×C₁₃	C₂×#365	semidirect
254. D₁₃	C₂×#365	direct (N × H)
302. C₁₆	C₂×C₄×D₁₃	semidirect
303. C₁₃	C₂²×#365	semidirect
363. C₂	D₁₃×#365	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×D₁₃×M₃₂	2
C₂×D₁₃×#108	2
C₂×D₁₃×#106	2
C₂×#11718086	2
C₂×#11718105	2
C₂×#11718079	2
D₁₃×#365	2
C₂×C₁₃×#365	2
C₂²×#365	13

Subgroups — C2×D13×#365 #16015924

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₁₃×#365 #16015924