Subgroups — C₁₃×#3179 #13112237

Order 1664.

374 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#501	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#488	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#486	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#469	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₃×D₈	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#405	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×D₈	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×D₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
21	C₂²×C₈×C₁₃	C₂²	1	1	yes	characteristic
22	C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
23	C₁₃×#127	C₂²	1	1	yes	characteristic
24	C₁₃×#126	—	2	1	no	—
25	C₁₃×#125	C₂²	1	1	yes	characteristic
26	C₁₃×#124	—	2	1	no	—
27	C₁₃×#124	C₂²	1	1	yes	characteristic
28	C₁₃×#123	—	2	1	no	—
29	C₁₃×#123	—	2	1	no	—
30	C₁₃×#123	—	2	1	no	—
31	C₁₃×C₂²⋊Q₈	—	2	1	no	—
32	C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
33	C₁₃×#121	—	2	1	no	—
34	C₁₃×#121	—	2	1	no	—
35	C₁₃×#121	C₂²	1	1	yes	characteristic
36	C₁₃×#121	C₂²	1	1	yes	characteristic
37	C₁₃×#121	C₂²	1	1	yes	characteristic
38	C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
40	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₁₃×#117	C₂²	1	1	yes	characteristic
43	C₁₃×#107	C₂²	1	1	yes	characteristic
44	C₁₃×#107	C₂²	1	1	yes	characteristic
45	C₁₃×#106	C₂²	1	1	yes	characteristic
46	C₁₃×#106	C₂²	1	1	yes	characteristic
47	C₁₃×#103	C₂²	1	1	yes	characteristic
48	C₁₃×#103	C₂²	1	1	yes	characteristic
49	C₁₃×#102	C₂²	1	1	yes	characteristic
50	C₁₃×#102	C₂²	1	1	yes	characteristic
51	C₁₃×#102	C₂²	1	1	yes	characteristic
52	C₁₃×#102	C₂²	1	1	yes	characteristic
53	C₁₃×#102	C₂²	1	1	yes	characteristic
54	C₁₃×#102	C₂²	1	1	yes	characteristic
55	C₁₃×#97	C₂²	1	1	yes	characteristic
56	C₁₃×#97	C₂²	1	1	yes	characteristic
57	C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
58	C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
59	C₂×Q₈×C₁₃	—	2	1	no	—
60	C₂×Q₈×C₁₃	C₂³	1	1	yes	characteristic
61	C₂×D₄×C₁₃	—	2	1	no	—
62	C₂×D₄×C₁₃	—	2	1	no	—
63	C₂×D₄×C₁₃	—	2	1	no	—
64	C₂×D₄×C₁₃	—	2	1	no	—
65	C₂×D₄×C₁₃	—	2	1	no	—
66	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
67	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
68	C₂×D₄×C₁₃	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₁₃	—	2	1	no	—
70	C₂²×C₄×C₁₃	—	2	1	no	—
71	C₂²×C₄×C₁₃	—	2	1	no	—
72	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
73	C₁₃×SD₁₆	—	2	2	no	—
74	C₁₃×SD₁₆	—	2	2	no	—
75	C₁₃×D₈	—	2	2	no	—
76	C₁₃×D₈	—	2	2	no	—
77	C₁₃×M₁₆	—	2	2	no	—
78	C₂×C₈×C₁₃	—	2	2	no	—
79	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
80	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	C₁₃×C₄⋊C₄	—	2	1	no	—
84	C₁₃×C₄⋊C₄	—	2	1	no	—
85	C₁₃×C₄⋊C₄	—	2	1	no	—
86	C₁₃×C₄⋊C₄	—	2	1	no	—
87	C₁₃×C₄⋊C₄	—	2	1	no	—
88	C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
89	C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
90	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
91	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
92	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
93	C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
94	C₁₃×C₂²⋊C₄	—	2	1	no	—
95	C₁₃×C₂²⋊C₄	—	2	1	no	—
96	C₁₃×C₂²⋊C₄	—	2	1	no	—
97	C₁₃×C₂²⋊C₄	—	2	1	no	—
98	C₁₃×C₂²⋊C₄	—	2	1	no	—
99	C₁₃×C₂²⋊C₄	—	2	1	no	—
100	C₁₃×C₂²⋊C₄	—	2	1	no	—
101	C₁₃×C₂²⋊C₄	—	2	1	no	—
102	C₁₃×C₂²⋊C₄	—	2	1	no	—
103	C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
104	C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
105	C₄²×C₁₃	—	2	1	no	—
106	C₄²×C₁₃	C₂³	1	1	yes	characteristic
107	C₄²×C₁₃	C₂³	1	1	yes	characteristic
108	#3179	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
109	C₂³×C₁₃	—	2	1	no	—
110	C₂³×C₁₃	—	2	1	no	—
111	C₂³×C₁₃	—	2	1	no	—
112	C₂³×C₁₃	C₂×D₄	1	1	yes	characteristic
113	Q₈×C₁₃	—	2	1	no	—
114	Q₈×C₁₃	—	2	1	no	—
115	Q₈×C₁₃	—	8	1	no	—
116	D₄×C₁₃	—	2	1	no	—
117	D₄×C₁₃	—	2	1	no	—
118	D₄×C₁₃	—	2	1	no	—
119	D₄×C₁₃	—	2	1	no	—
120	D₄×C₁₃	—	2	1	no	—
121	D₄×C₁₃	—	2	1	no	—
122	D₄×C₁₃	—	8	1	no	—
123	D₄×C₁₃	—	8	1	no	—
124	D₄×C₁₃	—	8	1	no	—
125	D₄×C₁₃	—	8	1	no	—
126	D₄×C₁₃	—	8	1	no	—
127	C₂×C₄×C₁₃	—	2	1	no	—
128	C₂×C₄×C₁₃	—	2	1	no	—
129	C₂×C₄×C₁₃	—	2	1	no	—
130	C₂×C₄×C₁₃	—	2	1	no	—
131	C₂×C₄×C₁₃	—	2	1	no	—
132	C₂×C₄×C₁₃	—	2	1	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	8	1	no	—
135	C₂×C₄×C₁₃	—	8	1	no	—
136	C₂×C₄×C₁₃	—	8	1	no	—
137	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
143	C₈×C₁₃	—	2	1	no	—
144	C₈×C₁₃	—	2	1	no	—
145	C₈×C₁₃	#41	1	2	yes	—
146	C₈×C₁₃	#41	1	2	yes	—
147	#542	C₂×C₁₃	1	1	yes	characteristic, complemented
148	#540	C₂×C₁₃	1	1	yes	characteristic, complemented
149	#501	C₂×C₁₃	1	1	yes	characteristic, complemented
150	#496	C₂×C₁₃	1	1	yes	characteristic, complemented
151	#488	C₂×C₁₃	1	1	yes	characteristic, complemented
152	#486	C₂×C₁₃	1	1	yes	characteristic, complemented
153	#469	C₂×C₁₃	1	1	yes	characteristic, complemented
154	#468	C₂×C₁₃	1	1	yes	characteristic, complemented
155	#466	C₂×C₁₃	1	1	yes	characteristic, complemented
156	#465	C₂×C₁₃	1	1	yes	characteristic, complemented
157	#442	C₂×C₁₃	1	1	yes	characteristic, complemented
158	#440	C₂×C₁₃	1	1	yes	characteristic, complemented
159	C₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
160	C₄×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
161	#405	C₂×C₁₃	1	1	yes	characteristic, complemented
162	C₂²×C₁₃	—	2	1	no	—
163	C₂²×C₁₃	—	2	1	no	—
164	C₂²×C₁₃	—	2	1	no	—
165	C₂²×C₁₃	—	4	1	no	—
166	C₂²×C₁₃	—	4	1	no	—
167	C₂²×C₁₃	—	4	1	no	—
168	C₂²×C₁₃	—	4	1	no	—
169	C₂²×C₁₃	—	4	1	no	—
170	C₂²×C₁₃	—	4	1	no	—
171	C₂²×C₁₃	—	4	1	no	—
172	C₂²×C₁₃	—	4	1	no	—
173	C₂²×C₁₃	—	4	1	no	—
174	C₂²×C₁₃	C₂²×D₄	1	1	yes	characteristic
175	C₄×C₁₃	—	2	1	no	—
176	C₄×C₁₃	—	2	1	no	—
177	C₄×C₁₃	—	2	1	no	—
178	C₄×C₁₃	—	2	1	no	—
179	C₄×C₁₃	—	2	1	no	—
180	C₄×C₁₃	—	4	1	no	—
181	C₄×C₁₃	—	4	1	no	—
182	C₄×C₁₃	—	4	1	no	—
183	C₄×C₁₃	—	4	1	no	—
184	C₄×C₁₃	—	4	1	no	—
185	C₄×C₁₃	C₂×#41	1	1	yes	characteristic
186	C₄×C₁₃	C₂×#41	1	1	yes	characteristic
187	C₂×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
188	C₂×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
189	C₂×D₈	C₂²×C₁₃	1	1	yes	characteristic
190	C₂×D₈	C₂²×C₁₃	1	1	yes	characteristic
191	C₂×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
192	C₂²×C₈	C₂²×C₁₃	1	1	yes	characteristic
193	C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
194	#127	C₂²×C₁₃	1	1	yes	characteristic
195	#126	—	2	1	no	—
196	#125	C₂²×C₁₃	1	1	yes	characteristic
197	#124	—	2	1	no	—
198	#124	C₂²×C₁₃	1	1	yes	characteristic
199	#123	—	2	1	no	—
200	#123	—	2	1	no	—
201	#123	—	2	1	no	—
202	C₂²⋊Q₈	—	2	1	no	—
203	C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
204	#121	—	2	1	no	—
205	#121	—	2	1	no	—
206	#121	C₂²×C₁₃	1	1	yes	characteristic
207	#121	C₂²×C₁₃	1	1	yes	characteristic
208	#121	C₂²×C₁₃	1	1	yes	characteristic
209	C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
210	C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
211	C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
212	C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
213	#117	C₂²×C₁₃	1	1	yes	characteristic
214	#107	C₂²×C₁₃	1	1	yes	characteristic
215	#107	C₂²×C₁₃	1	1	yes	characteristic
216	#106	C₂²×C₁₃	1	1	yes	characteristic
217	#106	C₂²×C₁₃	1	1	yes	characteristic
218	#103	C₂²×C₁₃	1	1	yes	characteristic
219	#103	C₂²×C₁₃	1	1	yes	characteristic
220	#102	C₂²×C₁₃	1	1	yes	characteristic
221	#102	C₂²×C₁₃	1	1	yes	characteristic
222	#102	C₂²×C₁₃	1	1	yes	characteristic
223	#102	C₂²×C₁₃	1	1	yes	characteristic
224	#102	C₂²×C₁₃	1	1	yes	characteristic
225	#102	C₂²×C₁₃	1	1	yes	characteristic
226	#97	C₂²×C₁₃	1	1	yes	characteristic
227	#97	C₂²×C₁₃	1	1	yes	characteristic
228	C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
229	C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
230	C₂×C₁₃	—	4	1	no	—
231	C₂×C₁₃	—	8	1	no	—
232	C₂×C₁₃	—	8	1	no	—
233	C₂×C₁₃	—	8	1	no	—
234	C₂×C₁₃	#532	1	1	yes	characteristic
235	C₂×C₁₃	#576	1	1	yes	characteristic
236	C₂×C₁₃	#577	1	1	yes	characteristic
237	C₂×Q₈	—	2	1	no	—
238	C₂×Q₈	C₂³×C₁₃	1	1	yes	characteristic
239	C₂×D₄	—	2	1	no	—
240	C₂×D₄	—	2	1	no	—
241	C₂×D₄	—	2	1	no	—
242	C₂×D₄	—	2	1	no	—
243	C₂×D₄	—	2	1	no	—
244	C₂×D₄	C₂³×C₁₃	1	1	yes	characteristic
245	C₂×D₄	C₂³×C₁₃	1	1	yes	characteristic
246	C₂×D₄	C₂³×C₁₃	1	1	yes	characteristic
247	C₂²×C₄	—	2	1	no	—
248	C₂²×C₄	—	2	1	no	—
249	C₂²×C₄	—	2	1	no	—
250	C₂²×C₄	C₂³×C₁₃	1	1	yes	characteristic
251	SD₁₆	—	2	2	no	—
252	SD₁₆	—	2	2	no	—
253	D₈	—	2	2	no	—
254	D₈	—	2	2	no	—
255	M₁₆	—	2	2	no	—
256	C₂×C₈	—	2	2	no	—
257	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
258	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
259	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
260	C₂×C₈	C₂³×C₁₃	1	1	yes	characteristic
261	C₄⋊C₄	—	2	1	no	—
262	C₄⋊C₄	—	2	1	no	—
263	C₄⋊C₄	—	2	1	no	—
264	C₄⋊C₄	—	2	1	no	—
265	C₄⋊C₄	—	2	1	no	—
266	C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
267	C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
268	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
269	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
270	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
271	C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
272	C₂²⋊C₄	—	2	1	no	—
273	C₂²⋊C₄	—	2	1	no	—
274	C₂²⋊C₄	—	2	1	no	—
275	C₂²⋊C₄	—	2	1	no	—
276	C₂²⋊C₄	—	2	1	no	—
277	C₂²⋊C₄	—	2	1	no	—
278	C₂²⋊C₄	—	2	1	no	—
279	C₂²⋊C₄	—	2	1	no	—
280	C₂²⋊C₄	—	2	1	no	—
281	C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
282	C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
283	C₄²	—	2	1	no	—
284	C₄²	C₂³×C₁₃	1	1	yes	characteristic
285	C₄²	C₂³×C₁₃	1	1	yes	characteristic
286	C₁₃	#3179	1	1	yes	characteristic, direct product factor, Sylow
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	—	2	1	no	—
290	C₂³	C₂×D₄×C₁₃	1	1	yes	characteristic
291	Q₈	—	2	1	no	—
292	Q₈	—	2	1	no	—
293	Q₈	—	8	1	no	—
294	D₄	—	2	1	no	—
295	D₄	—	2	1	no	—
296	D₄	—	2	1	no	—
297	D₄	—	2	1	no	—
298	D₄	—	2	1	no	—
299	D₄	—	2	1	no	—
300	D₄	—	8	1	no	—
301	D₄	—	8	1	no	—
302	D₄	—	8	1	no	—
303	D₄	—	8	1	no	—
304	D₄	—	8	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	8	1	no	—
313	C₂×C₄	—	8	1	no	—
314	C₂×C₄	—	8	1	no	—
315	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
316	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
317	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
318	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
319	C₂×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
320	C₂×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
321	C₈	—	2	1	no	—
322	C₈	—	2	1	no	—
323	C₈	C₁₃×#41	1	2	yes	—
324	C₈	C₁₃×#41	1	2	yes	—
325	C₂²	—	2	1	no	—
326	C₂²	—	2	1	no	—
327	C₂²	—	2	1	no	—
328	C₂²	—	4	1	no	—
329	C₂²	—	4	1	no	—
330	C₂²	—	4	1	no	—
331	C₂²	—	4	1	no	—
332	C₂²	—	4	1	no	—
333	C₂²	—	4	1	no	—
334	C₂²	—	4	1	no	—
335	C₂²	—	4	1	no	—
336	C₂²	—	4	1	no	—
337	C₂²	C₂²×D₄×C₁₃	1	1	yes	characteristic
338	C₄	—	2	1	no	—
339	C₄	—	2	1	no	—
340	C₄	—	2	1	no	—
341	C₄	—	2	1	no	—
342	C₄	—	2	1	no	—
343	C₄	—	4	1	no	—
344	C₄	—	4	1	no	—
345	C₄	—	4	1	no	—
346	C₄	—	4	1	no	—
347	C₄	—	4	1	no	—
348	C₄	C₂×C₁₃×#41	1	1	yes	characteristic
349	C₄	C₂×C₁₃×#41	1	1	yes	characteristic
350	C₂	—	4	1	no	—
351	C₂	—	8	1	no	—
352	C₂	—	8	1	no	—
353	C₂	—	8	1	no	—
354	C₂	C₁₃×#532	1	1	yes	characteristic
355	C₂	C₁₃×#576	1	1	yes	characteristic
356	C₂	C₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#542	C₂	semidirect
2. C₁₃×#540	C₂	semidirect
3. C₁₃×#501	C₂	semidirect
4. C₁₃×#496	C₂	semidirect
5. C₁₃×#488	C₂	semidirect
6. C₁₃×#486	C₂	semidirect
7. C₁₃×#469	C₂	semidirect
8. C₁₃×#468	C₂	semidirect
9. C₁₃×#466	C₂	semidirect
10. C₁₃×#465	C₂	semidirect
11. C₁₃×#442	C₂	semidirect
12. C₁₃×#440	C₂	semidirect
13. C₄×C₁₃×SD₁₆	C₂	semidirect
14. C₄×C₁₃×D₈	C₂	semidirect
15. C₁₃×#405	C₂	semidirect
108. #3179	C₁₃	direct (N × H)
147. #542	C₂×C₁₃	semidirect
148. #540	C₂×C₁₃	semidirect
149. #501	C₂×C₁₃	semidirect
150. #496	C₂×C₁₃	semidirect
151. #488	C₂×C₁₃	semidirect
152. #486	C₂×C₁₃	semidirect
153. #469	C₂×C₁₃	semidirect
154. #468	C₂×C₁₃	semidirect
155. #466	C₂×C₁₃	semidirect
156. #465	C₂×C₁₃	semidirect
157. #442	C₂×C₁₃	semidirect
158. #440	C₂×C₁₃	semidirect
159. C₄×SD₁₆	C₂×C₁₃	semidirect
160. C₄×D₈	C₂×C₁₃	semidirect
161. #405	C₂×C₁₃	semidirect
286. C₁₃	#3179	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#542	2
C₁₃×#540	2
C₁₃×#501	2
C₁₃×#496	2
C₁₃×#488	2
C₁₃×#486	2
C₁₃×#469	2
C₁₃×#468	2
C₁₃×#466	2
C₁₃×#465	2
C₁₃×#442	2
C₁₃×#440	2
C₄×C₁₃×SD₁₆	2
C₄×C₁₃×D₈	2
C₁₃×#405	2
#3179	13

Subgroups — C13×#3179 #13112237

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#3179 #13112237