Subgroups — C₁₃×#33509 #15719848

Order 3328.

484 conjugacy classes of subgroups.

The subgroup lattice has 326 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2183	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2169	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2168	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2168	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2164	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2163	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2151	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2150	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#529	C₄	1	1	yes	characteristic
11	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
12	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×M₃₂	C₂²	1	2	yes	—
14	C₂²×C₁₃×C₁₆	C₂²	1	2	yes	—
15	C₁₃×#446	C₄	1	1	yes	characteristic
16	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
17	C₁₃×#436	C₄	1	1	yes	characteristic
18	C₁₃×#435	C₄	1	2	yes	—
19	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
20	C₈×D₄×C₁₃	C₂²	1	2	yes	—
21	C₁₃×#433	C₄	1	2	yes	—
22	C₁₃×#432	C₄	1	1	yes	characteristic
23	C₁₃×#405	C₂²	1	2	yes	—
24	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
25	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
26	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
27	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
28	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
29	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
30	C₁₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic
31	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
32	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
33	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
34	C₁₃×#346	C₂²	1	2	yes	—
35	C₁₃×#346	C₂²	1	2	yes	—
36	C₄×C₁₃×C₁₆	C₂²	1	2	yes	—
37	C₂×C₁₃×M₁₆	C₂×C₄	1	2	yes	—
38	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
40	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
41	C₁₃×#126	C₈	1	2	yes	—
42	C₁₃×#125	C₈	1	1	yes	characteristic
43	C₁₃×#124	C₈	1	1	yes	characteristic
44	C₁₃×#123	C₈	1	2	yes	—
45	C₁₃×C₂²⋊Q₈	C₈	1	1	yes	characteristic
46	C₁₃×#121	C₈	1	1	yes	characteristic
47	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
48	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
49	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
50	C₁₃×#117	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
52	C₁₃×M₃₂	—	4	1	no	—
53	C₁₃×M₃₂	—	4	2	no	—
54	C₁₃×M₃₂	—	4	1	no	—
55	C₂×C₁₃×C₁₆	—	4	2	no	—
56	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
57	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
58	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
59	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
60	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
61	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
62	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
63	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
64	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
65	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
66	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
67	C₁₃×#97	C₂×C₄	1	2	yes	—
68	C₁₃×#97	C₂×C₄	1	2	yes	—
69	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
70	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
72	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
73	C₄×C₈×C₁₃	C₂³	1	2	yes	—
74	#33509	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
75	C₂×Q₈×C₁₃	C₂×C₈	1	1	yes	characteristic
76	C₂×D₄×C₁₃	C₂×C₈	1	2	yes	—
77	C₂×D₄×C₁₃	C₂×C₈	1	1	yes	characteristic
78	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
79	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
80	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
82	C₁₃×M₁₆	—	4	2	no	—
83	C₂×C₈×C₁₃	—	2	2	no	—
84	C₂×C₈×C₁₃	—	2	1	no	—
85	C₂×C₈×C₁₃	—	2	1	no	—
86	C₂×C₈×C₁₃	—	2	2	no	—
87	C₂×C₈×C₁₃	—	4	1	no	—
88	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
89	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
90	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
91	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
92	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
93	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
94	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
95	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
96	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
97	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
98	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
99	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
100	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
101	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
102	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
103	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
104	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
105	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
106	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
107	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
108	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
109	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
110	C₁₃×C₁₆	—	2	2	no	—
111	C₁₃×C₁₆	—	2	2	no	—
112	C₁₃×C₁₆	—	2	2	no	—
113	C₁₃×C₁₆	—	2	2	no	—
114	#2966	C₂×C₁₃	1	1	yes	characteristic
115	#2183	C₂×C₁₃	1	2	yes	complemented
116	#2169	C₂×C₁₃	1	2	yes	complemented
117	#2168	C₂×C₁₃	1	2	yes	complemented
118	#2168	C₂×C₁₃	1	2	yes	complemented
119	#2164	C₂×C₁₃	1	2	yes	complemented
120	#2163	C₂×C₁₃	1	1	yes	characteristic, complemented
121	#2151	C₂×C₁₃	1	2	yes	complemented
122	#2150	C₂×C₁₃	1	1	yes	characteristic, complemented
123	C₂³×C₁₃	C₂²×C₈	1	2	yes	—
124	C₂³×C₁₃	C₂²×C₈	1	1	yes	characteristic
125	Q₈×C₁₃	—	4	1	no	—
126	D₄×C₁₃	—	4	1	no	—
127	D₄×C₁₃	—	4	2	no	—
128	C₂×C₄×C₁₃	—	2	2	no	—
129	C₂×C₄×C₁₃	—	2	1	no	—
130	C₂×C₄×C₁₃	—	2	1	no	—
131	C₂×C₄×C₁₃	—	2	2	no	—
132	C₂×C₄×C₁₃	—	4	1	no	—
133	C₂×C₄×C₁₃	—	4	1	no	—
134	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
135	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
140	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
141	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
142	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
143	C₈×C₁₃	—	2	2	no	—
144	C₈×C₁₃	—	2	1	no	—
145	C₈×C₁₃	—	2	1	no	—
146	C₈×C₁₃	—	2	1	no	—
147	C₈×C₁₃	—	2	2	no	—
148	C₈×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
149	C₈×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
150	#529	C₄×C₁₃	1	1	yes	characteristic
151	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
152	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
153	C₂×M₃₂	C₂²×C₁₃	1	2	yes	—
154	C₂²×C₁₆	C₂²×C₁₃	1	2	yes	—
155	#446	C₄×C₁₃	1	1	yes	characteristic
156	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
157	#436	C₄×C₁₃	1	1	yes	characteristic
158	#435	C₄×C₁₃	1	2	yes	—
159	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
160	C₈×D₄	C₂²×C₁₃	1	2	yes	—
161	#433	C₄×C₁₃	1	2	yes	—
162	#432	C₄×C₁₃	1	1	yes	characteristic
163	#405	C₂²×C₁₃	1	2	yes	—
164	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
165	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
166	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
167	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
168	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
169	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
170	C₄⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
171	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
172	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
173	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
174	#346	C₂²×C₁₃	1	2	yes	—
175	#346	C₂²×C₁₃	1	2	yes	—
176	C₄×C₁₆	C₂²×C₁₃	1	2	yes	—
177	C₂²×C₁₃	—	2	1	no	—
178	C₂²×C₁₃	—	2	1	no	—
179	C₂²×C₁₃	—	2	2	no	—
180	C₂²×C₁₃	—	2	2	no	—
181	C₂²×C₁₃	—	2	1	no	—
182	C₂²×C₁₃	—	2	2	no	—
183	C₂²×C₁₃	C₂³×C₈	1	1	yes	characteristic
184	C₄×C₁₃	—	2	1	no	—
185	C₄×C₁₃	—	2	1	no	—
186	C₄×C₁₃	—	2	1	no	—
187	C₄×C₁₃	—	2	1	no	—
188	C₄×C₁₃	—	2	2	no	—
189	C₄×C₁₃	—	2	2	no	—
190	C₄×C₁₃	—	2	1	no	—
191	C₄×C₁₃	—	2	2	no	—
192	C₄×C₁₃	#520	1	1	yes	characteristic
193	C₄×C₁₃	#568	1	1	yes	characteristic
194	C₂×M₁₆	C₂×C₄×C₁₃	1	2	yes	—
195	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
196	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
197	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
198	#126	C₈×C₁₃	1	2	yes	—
199	#125	C₈×C₁₃	1	1	yes	characteristic
200	#124	C₈×C₁₃	1	1	yes	characteristic
201	#123	C₈×C₁₃	1	2	yes	—
202	C₂²⋊Q₈	C₈×C₁₃	1	1	yes	characteristic
203	#121	C₈×C₁₃	1	1	yes	characteristic
204	C₄×Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic
205	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	—
206	C₄×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic
207	#117	C₂×C₄×C₁₃	1	2	yes	—
208	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
209	M₃₂	—	4	1	no	—
210	M₃₂	—	4	2	no	—
211	M₃₂	—	4	1	no	—
212	C₂×C₁₆	—	4	2	no	—
213	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
214	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
215	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
216	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
217	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
218	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
219	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
220	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
221	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
222	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
223	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
224	#97	C₂×C₄×C₁₃	1	2	yes	—
225	#97	C₂×C₄×C₁₃	1	2	yes	—
226	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
227	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
228	C₄×C₈	C₂³×C₁₃	1	2	yes	—
229	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
230	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
231	C₂×C₁₃	—	4	1	no	—
232	C₂×C₁₃	—	4	2	no	—
233	C₂×C₁₃	#2988	1	1	yes	characteristic
234	C₂×C₁₃	#3407	1	1	yes	characteristic
235	C₂×C₁₃	#3407	1	1	yes	characteristic
236	C₂×Q₈	C₂×C₈×C₁₃	1	1	yes	characteristic
237	C₂×D₄	C₂×C₈×C₁₃	1	2	yes	—
238	C₂×D₄	C₂×C₈×C₁₃	1	1	yes	characteristic
239	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
240	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
241	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
242	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
243	M₁₆	—	4	2	no	—
244	C₂×C₈	—	2	2	no	—
245	C₂×C₈	—	2	1	no	—
246	C₂×C₈	—	2	1	no	—
247	C₂×C₈	—	2	2	no	—
248	C₂×C₈	—	4	1	no	—
249	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
250	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
251	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
252	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
253	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
254	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
255	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
256	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
257	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
258	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
259	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
260	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
261	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
262	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
263	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
264	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
265	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
266	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
267	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
268	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
269	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
270	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
271	C₁₆	—	2	2	no	—
272	C₁₆	—	2	2	no	—
273	C₁₆	—	2	2	no	—
274	C₁₆	—	2	2	no	—
275	C₁₃	#33509	1	1	yes	characteristic, direct product factor, Sylow
276	C₂³	C₂²×C₈×C₁₃	1	2	yes	—
277	C₂³	C₂²×C₈×C₁₃	1	1	yes	characteristic
278	Q₈	—	4	1	no	—
279	D₄	—	4	1	no	—
280	D₄	—	4	2	no	—
281	C₂×C₄	—	2	2	no	—
282	C₂×C₄	—	2	1	no	—
283	C₂×C₄	—	2	1	no	—
284	C₂×C₄	—	2	2	no	—
285	C₂×C₄	—	4	1	no	—
286	C₂×C₄	—	4	1	no	—
287	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
288	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
289	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
290	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
291	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
292	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
293	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
294	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
295	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
296	C₈	—	2	2	no	—
297	C₈	—	2	1	no	—
298	C₈	—	2	1	no	—
299	C₈	—	2	1	no	—
300	C₈	—	2	2	no	—
301	C₈	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
302	C₈	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
303	C₂²	—	2	1	no	—
304	C₂²	—	2	1	no	—
305	C₂²	—	2	2	no	—
306	C₂²	—	2	2	no	—
307	C₂²	—	2	1	no	—
308	C₂²	—	2	2	no	—
309	C₂²	C₂³×C₈×C₁₃	1	1	yes	characteristic
310	C₄	—	2	1	no	—
311	C₄	—	2	1	no	—
312	C₄	—	2	1	no	—
313	C₄	—	2	1	no	—
314	C₄	—	2	2	no	—
315	C₄	—	2	2	no	—
316	C₄	—	2	1	no	—
317	C₄	—	2	2	no	—
318	C₄	C₁₃×#520	1	1	yes	characteristic
319	C₄	C₁₃×#568	1	1	yes	characteristic
320	C₂	—	4	1	no	—
321	C₂	—	4	2	no	—
322	C₂	C₁₃×#2988	1	1	yes	characteristic
323	C₂	C₁₃×#3407	1	1	yes	characteristic
324	C₂	C₁₃×#3407	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈×C₁₃	C₂⁴
commutator	C₂²	C₂³×C₈×C₁₃
Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
socle	C₂²×C₁₃	C₂³×C₈
prime radical	C₁₃×#121	C₈
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2183	C₂	semidirect
3. C₁₃×#2169	C₂	semidirect
4. C₁₃×#2168	C₂	semidirect
5. C₁₃×#2168	C₂	semidirect
6. C₁₃×#2164	C₂	semidirect
7. C₁₃×#2163	C₂	semidirect
8. C₁₃×#2151	C₂	semidirect
9. C₁₃×#2150	C₂	semidirect
74. #33509	C₁₃	direct (N × H)
115. #2183	C₂×C₁₃	semidirect
116. #2169	C₂×C₁₃	semidirect
117. #2168	C₂×C₁₃	semidirect
118. #2168	C₂×C₁₃	semidirect
119. #2164	C₂×C₁₃	semidirect
120. #2163	C₂×C₁₃	semidirect
121. #2151	C₂×C₁₃	semidirect
122. #2150	C₂×C₁₃	semidirect
275. C₁₃	#33509	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×#2966	2
C₁₃×#2183	2
C₁₃×#2169	2
C₁₃×#2168	2
C₁₃×#2164	2
C₁₃×#2163	2
C₁₃×#2151	2
C₁₃×#2150	2
#33509	13

Subgroups — C13×#33509 #15719848

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33509 #15719848