Subgroups — C₂×C₁₃×#3383 #15747695

Order 3328.

1766 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#557	C₂	1	2	yes	maximal
2	C₁₃×#3383	C₂	1	16	yes	maximal, direct product factor
3	C₂×C₁₃×#500	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₃×#499	C₂	1	2	yes	maximal
5	C₂×C₁₃×#479	C₂	1	4	yes	maximal
6	C₂×C₁₃×#475	C₂	1	2	yes	maximal
7	C₂×C₈×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic
8	C₂×C₄×C₁₃×Q₁₆	C₂	1	2	yes	maximal
9	C₂×C₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic
10	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
11	C₁₃×#557	—	2	8	no	—
12	C₁₃×#557	C₂²	1	16	yes	—
13	C₂×C₁₃×C₄⋊Q₈	—	2	2	no	—
14	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
15	C₂×C₁₃×#125	—	2	4	no	—
16	C₂×C₁₃×#125	C₂²	1	4	yes	—
17	C₂×C₄×Q₈×C₁₃	—	2	2	no	—
18	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
19	C₂×C₄×Q₈×C₁₃	C₂²	1	4	yes	—
20	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₁₃×#500	C₂²	1	8	yes	—
22	C₁₃×#499	C₂²	1	16	yes	—
23	C₁₃×#479	C₂²	1	32	yes	—
24	C₁₃×#475	C₂²	1	16	yes	—
25	C₈×Q₈×C₁₃	C₂²	1	8	yes	—
26	C₄×C₁₃×Q₁₆	C₂²	1	16	yes	—
27	C₄×C₁₃×Q₁₆	C₂²	1	8	yes	—
28	C₂×C₁₃×#107	C₂²	1	2	yes	—
29	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#107	C₂²	1	2	yes	—
31	C₂×C₁₃×#106	C₂²	1	4	yes	—
32	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
34	C₂×C₁₃×#103	C₂²	1	4	yes	—
35	C₂×C₁₃×#103	C₂²	1	2	yes	—
36	C₂×C₄×C₈×C₁₃	C₂²	1	2	yes	—
37	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₂²×Q₈×C₁₃	—	2	2	no	—
39	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
40	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
41	C₂×C₁₃×Q₁₆	Q₈	1	8	yes	complemented
42	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
43	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
44	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
45	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
46	C₁₃×C₄⋊Q₈	—	2	16	no	—
47	C₁₃×C₄⋊Q₈	—	2	4	no	—
48	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
49	C₁₃×#125	—	2	32	no	—
50	C₁₃×#125	—	2	8	no	—
51	C₁₃×#125	C₂³	1	16	yes	—
52	C₄×Q₈×C₁₃	—	2	16	no	—
53	C₄×Q₈×C₁₃	—	2	8	no	—
54	C₄×Q₈×C₁₃	—	2	4	no	—
55	C₄×Q₈×C₁₃	D₄	1	4	yes	—
56	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
57	C₄×Q₈×C₁₃	C₂³	1	16	yes	—
58	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
59	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
60	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
61	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
62	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
63	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
64	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
65	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
66	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
67	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
68	C₂×C₄²×C₁₃	—	2	4	no	—
69	C₂×C₄²×C₁₃	—	2	2	no	—
70	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
71	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
72	C₁₃×#107	C₂³	1	4	yes	—
73	C₁₃×#107	C₂³	1	8	yes	—
74	C₁₃×#107	C₂³	1	8	yes	—
75	C₁₃×#106	C₂³	1	16	yes	—
76	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
77	C₁₃×C₄⋊C₈	C₂³	1	8	yes	—
78	C₁₃×#103	C₂³	1	16	yes	—
79	C₁₃×#103	C₂³	1	8	yes	—
80	C₄×C₈×C₁₃	C₂³	1	8	yes	—
81	C₄×C₈×C₁₃	C₂³	1	4	yes	—
82	C₂×#3383	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
83	C₂×Q₈×C₁₃	—	2	4	no	—
84	C₂×Q₈×C₁₃	—	2	2	no	—
85	C₂×Q₈×C₁₃	—	2	8	no	—
86	C₂×Q₈×C₁₃	—	2	4	no	—
87	C₂×Q₈×C₁₃	—	4	8	no	—
88	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
89	C₂×Q₈×C₁₃	C₂×Q₈	1	8	yes	—
90	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
91	C₂²×C₄×C₁₃	—	2	2	no	—
92	C₂²×C₄×C₁₃	—	2	2	no	—
93	C₂²×C₄×C₁₃	—	2	4	no	—
94	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
99	C₁₃×Q₁₆	C₂×Q₈	1	16	yes	complemented
100	C₂×C₈×C₁₃	—	2	4	no	—
101	C₂×C₈×C₁₃	—	2	2	no	—
102	C₂×C₈×C₁₃	C₂×Q₈	1	4	yes	—
103	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
104	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
105	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
106	C₁₃×C₄⋊C₄	—	2	16	no	—
107	C₁₃×C₄⋊C₄	—	2	8	no	—
108	C₁₃×C₄⋊C₄	—	2	16	no	—
109	C₁₃×C₄⋊C₄	—	2	8	no	—
110	C₁₃×C₄⋊C₄	—	2	16	no	—
111	C₁₃×C₄⋊C₄	—	2	2	no	—
112	C₁₃×C₄⋊C₄	—	2	4	no	—
113	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
114	C₁₃×C₄⋊C₄	C₂×D₄	1	8	yes	—
115	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
116	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
117	C₄²×C₁₃	—	2	16	no	—
118	C₄²×C₁₃	—	2	8	no	—
119	C₄²×C₁₃	C₂×D₄	1	4	yes	—
120	C₄²×C₁₃	C₂×D₄	1	2	yes	—
121	C₄²×C₁₃	C₂⁴	1	4	yes	—
122	C₄²×C₁₃	C₂⁴	1	2	yes	—
123	C₂×#557	C₂×C₁₃	1	2	yes	—
124	#3383	C₂×C₁₃	1	16	yes	direct product factor
125	C₂×#500	C₂×C₁₃	1	1	yes	characteristic
126	C₂×#499	C₂×C₁₃	1	2	yes	—
127	C₂×#479	C₂×C₁₃	1	4	yes	—
128	C₂×#475	C₂×C₁₃	1	2	yes	—
129	C₂×C₈×Q₈	C₂×C₁₃	1	1	yes	characteristic
130	C₂×C₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic
131	C₂×C₄×Q₁₆	C₂×C₁₃	1	2	yes	—
132	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
133	Q₈×C₁₃	—	2	8	no	—
134	Q₈×C₁₃	—	2	8	no	—
135	Q₈×C₁₃	—	2	4	no	—
136	Q₈×C₁₃	—	4	16	no	—
137	Q₈×C₁₃	C₂²×Q₈	1	8	yes	—
138	C₂×C₄×C₁₃	—	2	8	no	—
139	C₂×C₄×C₁₃	—	2	4	no	—
140	C₂×C₄×C₁₃	—	2	4	no	—
141	C₂×C₄×C₁₃	—	2	2	no	—
142	C₂×C₄×C₁₃	—	2	4	no	—
143	C₂×C₄×C₁₃	—	2	4	no	—
144	C₂×C₄×C₁₃	—	2	8	no	—
145	C₂×C₄×C₁₃	—	4	8	no	—
146	C₂×C₄×C₁₃	—	4	4	no	—
147	C₂×C₄×C₁₃	#135	1	4	yes	—
148	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
149	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
150	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
151	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
153	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
154	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
155	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
156	C₈×C₁₃	—	2	4	no	—
157	C₈×C₁₃	—	2	2	no	—
158	C₈×C₁₃	C₂²×Q₈	1	4	yes	—
159	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
160	#557	—	2	8	no	—
161	#557	C₂²×C₁₃	1	16	yes	—
162	C₂×C₄⋊Q₈	—	2	2	no	—
163	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
164	C₂×#125	—	2	4	no	—
165	C₂×#125	C₂²×C₁₃	1	4	yes	—
166	C₂×C₄×Q₈	—	2	2	no	—
167	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
168	C₂×C₄×Q₈	C₂²×C₁₃	1	4	yes	—
169	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
170	#500	C₂²×C₁₃	1	8	yes	—
171	#499	C₂²×C₁₃	1	16	yes	—
172	#479	C₂²×C₁₃	1	32	yes	—
173	#475	C₂²×C₁₃	1	16	yes	—
174	C₈×Q₈	C₂²×C₁₃	1	8	yes	—
175	C₄×Q₁₆	C₂²×C₁₃	1	16	yes	—
176	C₄×Q₁₆	C₂²×C₁₃	1	8	yes	—
177	C₂×#107	C₂²×C₁₃	1	2	yes	—
178	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
179	C₂×#107	C₂²×C₁₃	1	2	yes	—
180	C₂×#106	C₂²×C₁₃	1	4	yes	—
181	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
182	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
183	C₂×#103	C₂²×C₁₃	1	4	yes	—
184	C₂×#103	C₂²×C₁₃	1	2	yes	—
185	C₂×C₄×C₈	C₂²×C₁₃	1	2	yes	—
186	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
187	C₂²×C₁₃	D₄×Q₈	1	2	yes	—
188	C₂²×C₁₃	C₂×#135	1	2	yes	—
189	C₂²×C₁₃	#578	1	2	yes	—
190	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
191	C₄×C₁₃	—	2	8	no	—
192	C₄×C₁₃	—	2	4	no	—
193	C₄×C₁₃	—	2	4	no	—
194	C₄×C₁₃	—	2	2	no	—
195	C₄×C₁₃	—	4	8	no	—
196	C₄×C₁₃	—	4	4	no	—
197	C₄×C₁₃	D₄×Q₈	1	2	yes	—
198	C₄×C₁₃	C₂×#135	1	4	yes	—
199	C₄×C₁₃	C₂³×Q₈	1	1	yes	characteristic
200	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
201	C₂²×Q₈	—	2	2	no	—
202	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
203	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
204	C₂×Q₁₆	Q₈×C₁₃	1	8	yes	complemented
205	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
206	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
207	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
208	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
209	C₄⋊Q₈	—	2	16	no	—
210	C₄⋊Q₈	—	2	4	no	—
211	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
212	#125	—	2	32	no	—
213	#125	—	2	8	no	—
214	#125	C₂³×C₁₃	1	16	yes	—
215	C₄×Q₈	—	2	16	no	—
216	C₄×Q₈	—	2	8	no	—
217	C₄×Q₈	—	2	4	no	—
218	C₄×Q₈	D₄×C₁₃	1	4	yes	—
219	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
220	C₄×Q₈	C₂³×C₁₃	1	16	yes	—
221	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
222	C₂×C₄⋊C₄	—	2	4	no	—
223	C₂×C₄⋊C₄	—	2	2	no	—
224	C₂×C₄⋊C₄	—	2	4	no	—
225	C₂×C₄⋊C₄	—	2	2	no	—
226	C₂×C₄⋊C₄	—	2	4	no	—
227	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
228	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
229	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
230	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
231	C₂×C₄²	—	2	4	no	—
232	C₂×C₄²	—	2	2	no	—
233	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
234	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
235	#107	C₂³×C₁₃	1	4	yes	—
236	#107	C₂³×C₁₃	1	8	yes	—
237	#107	C₂³×C₁₃	1	8	yes	—
238	#106	C₂³×C₁₃	1	16	yes	—
239	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
240	C₄⋊C₈	C₂³×C₁₃	1	8	yes	—
241	#103	C₂³×C₁₃	1	16	yes	—
242	#103	C₂³×C₁₃	1	8	yes	—
243	C₄×C₈	C₂³×C₁₃	1	8	yes	—
244	C₄×C₈	C₂³×C₁₃	1	4	yes	—
245	C₂×C₁₃	#3383	1	4	yes	direct product factor
246	C₂×C₁₃	C₂×D₄×Q₈	1	1	yes	characteristic
247	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
248	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
249	C₂×Q₈	—	2	4	no	—
250	C₂×Q₈	—	2	2	no	—
251	C₂×Q₈	—	2	8	no	—
252	C₂×Q₈	—	2	4	no	—
253	C₂×Q₈	—	4	8	no	—
254	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
255	C₂×Q₈	C₂×Q₈×C₁₃	1	8	yes	—
256	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	—	2	2	no	—
259	C₂²×C₄	—	2	4	no	—
260	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
261	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
262	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
263	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
264	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
265	Q₁₆	C₂×Q₈×C₁₃	1	16	yes	complemented
266	C₂×C₈	—	2	4	no	—
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	C₂×Q₈×C₁₃	1	4	yes	—
269	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
270	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
271	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
272	C₄⋊C₄	—	2	16	no	—
273	C₄⋊C₄	—	2	8	no	—
274	C₄⋊C₄	—	2	16	no	—
275	C₄⋊C₄	—	2	8	no	—
276	C₄⋊C₄	—	2	16	no	—
277	C₄⋊C₄	—	2	2	no	—
278	C₄⋊C₄	—	2	4	no	—
279	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
280	C₄⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
281	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
282	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
283	C₄²	—	2	16	no	—
284	C₄²	—	2	8	no	—
285	C₄²	C₂×D₄×C₁₃	1	4	yes	—
286	C₄²	C₂×D₄×C₁₃	1	2	yes	—
287	C₄²	C₂⁴×C₁₃	1	4	yes	—
288	C₄²	C₂⁴×C₁₃	1	2	yes	—
289	C₁₃	C₂×#3383	1	1	yes	characteristic, direct product factor, Sylow
290	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
291	Q₈	—	2	8	no	—
292	Q₈	—	2	8	no	—
293	Q₈	—	2	4	no	—
294	Q₈	—	4	16	no	—
295	Q₈	C₂²×Q₈×C₁₃	1	8	yes	—
296	C₂×C₄	—	2	8	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	2	4	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	4	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	8	no	—
303	C₂×C₄	—	4	8	no	—
304	C₂×C₄	—	4	4	no	—
305	C₂×C₄	C₁₃×#135	1	4	yes	—
306	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
307	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
308	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
309	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
310	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
311	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
312	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
313	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
314	C₈	—	2	4	no	—
315	C₈	—	2	2	no	—
316	C₈	C₂²×Q₈×C₁₃	1	4	yes	—
317	C₂²	D₄×Q₈×C₁₃	1	2	yes	—
318	C₂²	C₂×C₁₃×#135	1	2	yes	—
319	C₂²	C₁₃×#578	1	2	yes	—
320	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
321	C₄	—	2	4	no	—
322	C₄	—	2	4	no	—
323	C₄	—	2	2	no	—
324	C₄	—	2	8	no	—
325	C₄	—	4	8	no	—
326	C₄	—	4	4	no	—
327	C₄	D₄×Q₈×C₁₃	1	2	yes	—
328	C₄	C₂×C₁₃×#135	1	4	yes	—
329	C₄	C₂³×Q₈×C₁₃	1	1	yes	characteristic
330	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
331	C₂	C₁₃×#3383	1	4	yes	direct product factor
332	C₂	C₂×D₄×Q₈×C₁₃	1	1	yes	characteristic
333	C₂	C₂²×C₁₃×#135	1	1	yes	characteristic
334	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#3383	C₂	direct (N × H)
41. C₂×C₁₃×Q₁₆	Q₈	semidirect
82. C₂×#3383	C₁₃	direct (N × H)
99. C₁₃×Q₁₆	C₂×Q₈	semidirect
124. #3383	C₂×C₁₃	direct (N × H)
204. C₂×Q₁₆	Q₈×C₁₃	semidirect
245. C₂×C₁₃	#3383	direct (N × H)
265. Q₁₆	C₂×Q₈×C₁₃	semidirect
289. C₁₃	C₂×#3383	direct (N × H)
331. C₂	C₁₃×#3383	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×C₁₃×#557	2
C₁₃×#3383	2
C₂×C₁₃×#500	2
C₂×C₁₃×#499	2
C₂×C₁₃×#479	2
C₂×C₁₃×#475	2
C₂×C₈×Q₈×C₁₃	2
C₂×C₄×C₁₃×Q₁₆	2
C₂×#3383	13

Subgroups — C2×C13×#3383 #15747695

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3383 #15747695