Subgroups — C₂×C₁₃×#1942 #15707489

Order 3328.

1182 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	C₂²×C₁₃×#107	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₁₃×#107	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₄×C₈×C₁₃	C₂	1	1	yes	maximal, characteristic
4	C₂×C₁₃×#389	C₂	1	2	yes	maximal
5	C₁₃×#1942	C₂	1	8	yes	maximal, direct product factor
6	C₂×C₁₃×#340	C₂	1	2	yes	maximal
7	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
8	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
9	C₂²×C₁₃×C₄⋊C₄	—	2	2	no	—
10	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
11	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
12	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×#107	—	2	4	no	—
14	C₂×C₁₃×#107	C₄	1	8	yes	complemented
15	C₂×C₁₃×#107	C₂²	1	4	yes	—
16	C₂×C₁₃×#107	C₂²	1	4	yes	—
17	C₂×C₄×C₈×C₁₃	—	2	4	no	—
18	C₂×C₄×C₈×C₁₃	C₂²	1	4	yes	—
19	C₁₃×#389	—	2	4	no	—
20	C₁₃×#389	C₂²	1	8	yes	—
21	C₂×C₁₃×#95	—	2	2	no	—
22	C₁₃×#340	C₂²	1	8	yes	—
23	C₂³×C₄×C₁₃	—	2	2	no	—
24	C₂³×C₄×C₁₃	—	2	2	no	—
25	C₂³×C₄×C₁₃	D₄	1	1	yes	characteristic
26	C₂³×C₄×C₁₃	D₄	1	1	yes	characteristic
27	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
28	C₂²×C₈×C₁₃	—	2	2	no	—
29	C₂²×C₈×C₁₃	—	2	2	no	—
30	C₂²×C₈×C₁₃	C₂×C₄	1	4	yes	—
31	C₂²×C₈×C₁₃	D₄	1	4	yes	—
32	C₂²×C₈×C₁₃	Q₈	1	4	yes	—
33	C₂²×C₈×C₁₃	Q₈	1	4	yes	—
34	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
35	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
36	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
37	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
38	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
39	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
40	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
41	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
42	C₂×C₁₃×C₄⋊C₄	—	4	8	no	—
43	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	8	yes	—
44	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
45	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
46	C₂×C₄²×C₁₃	—	2	2	no	—
47	C₂×C₄²×C₁₃	—	2	2	no	—
48	C₂×C₄²×C₁₃	D₄	1	2	yes	—
49	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
50	C₁₃×#107	—	2	8	no	—
51	C₁₃×#107	C₂×C₄	1	16	yes	complemented
52	C₄×C₈×C₁₃	—	2	8	no	—
53	C₁₃×#95	—	2	8	no	—
54	C₂×#1942	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
55	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
56	C₂²×C₄×C₁₃	—	2	2	no	—
57	C₂²×C₄×C₁₃	—	2	2	no	—
58	C₂²×C₄×C₁₃	—	2	2	no	—
59	C₂²×C₄×C₁₃	—	2	2	no	—
60	C₂²×C₄×C₁₃	—	2	8	no	—
61	C₂²×C₄×C₁₃	—	2	4	no	—
62	C₂²×C₄×C₁₃	—	2	4	no	—
63	C₂²×C₄×C₁₃	—	4	4	no	—
64	C₂²×C₄×C₁₃	—	4	4	no	—
65	C₂²×C₄×C₁₃	—	4	4	no	—
66	C₂²×C₄×C₁₃	—	4	4	no	—
67	C₂²×C₄×C₁₃	—	4	4	no	—
68	C₂²×C₄×C₁₃	D₈	1	4	yes	—
69	C₂²×C₄×C₁₃	Q₁₆	1	4	yes	—
70	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
71	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
72	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
73	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
74	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
76	C₂²×C₄×C₁₃	C₂×Q₈	1	2	yes	—
77	C₂²×C₄×C₁₃	#41	1	2	yes	—
78	C₂²×C₄×C₁₃	#41	1	2	yes	—
79	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
80	C₂×C₈×C₁₃	—	2	8	no	—
81	C₂×C₈×C₁₃	—	2	2	no	—
82	C₂×C₈×C₁₃	—	2	2	no	—
83	C₂×C₈×C₁₃	C₄⋊C₄	1	16	yes	complemented
84	C₂×C₈×C₁₃	C₂²×C₄	1	4	yes	—
85	C₂×C₈×C₁₃	C₂×D₄	1	4	yes	—
86	C₂×C₈×C₁₃	C₂×Q₈	1	4	yes	—
87	C₂×C₈×C₁₃	C₂×Q₈	1	4	yes	—
88	C₁₃×C₄⋊C₄	—	2	8	no	—
89	C₁₃×C₄⋊C₄	—	2	4	no	—
90	C₁₃×C₄⋊C₄	—	2	4	no	—
91	C₁₃×C₄⋊C₄	—	2	4	no	—
92	C₁₃×C₄⋊C₄	—	4	4	no	—
93	C₁₃×C₄⋊C₄	—	4	16	no	—
94	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
95	C₄²×C₁₃	—	2	4	no	—
96	C₄²×C₁₃	—	2	2	no	—
97	C₄²×C₁₃	—	2	2	no	—
98	C₂²×#107	C₂×C₁₃	1	1	yes	characteristic
99	C₂²×#107	C₂×C₁₃	1	1	yes	characteristic
100	C₂²×C₄×C₈	C₂×C₁₃	1	1	yes	characteristic
101	C₂×#389	C₂×C₁₃	1	2	yes	—
102	#1942	C₂×C₁₃	1	8	yes	direct product factor
103	C₂×#340	C₂×C₁₃	1	2	yes	—
104	C₂³×C₁₃	C₄×D₄	1	2	yes	—
105	C₂³×C₁₃	#121	1	2	yes	—
106	C₂³×C₁₃	C₄⋊Q₈	1	2	yes	—
107	C₂³×C₁₃	C₂×D₈	1	2	yes	—
108	C₂³×C₁₃	C₂×Q₁₆	1	2	yes	—
109	C₂³×C₁₃	#135	1	2	yes	—
110	C₂³×C₁₃	#135	1	2	yes	—
111	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
112	C₂×C₄×C₁₃	—	2	2	no	—
113	C₂×C₄×C₁₃	—	2	2	no	—
114	C₂×C₄×C₁₃	—	2	2	no	—
115	C₂×C₄×C₁₃	—	2	2	no	—
116	C₂×C₄×C₁₃	—	2	8	no	—
117	C₂×C₄×C₁₃	—	2	8	no	—
118	C₂×C₄×C₁₃	—	2	8	no	—
119	C₂×C₄×C₁₃	—	4	4	no	—
120	C₂×C₄×C₁₃	—	4	4	no	—
121	C₂×C₄×C₁₃	—	4	16	no	—
122	C₂×C₄×C₁₃	—	4	4	no	—
123	C₂×C₄×C₁₃	—	4	4	no	—
124	C₂×C₄×C₁₃	—	4	4	no	—
125	C₂×C₄×C₁₃	—	8	8	no	—
126	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	4	yes	—
127	C₂×C₄×C₁₃	C₄×D₄	1	2	yes	—
128	C₂×C₄×C₁₃	C₄×Q₈	1	4	yes	—
129	C₂×C₄×C₁₃	#121	1	2	yes	—
130	C₂×C₄×C₁₃	C₂²⋊Q₈	1	4	yes	—
131	C₂×C₄×C₁₃	#125	1	4	yes	—
132	C₂×C₄×C₁₃	C₄⋊Q₈	1	2	yes	—
133	C₂×C₄×C₁₃	C₂×D₈	1	4	yes	—
134	C₂×C₄×C₁₃	C₂×Q₁₆	1	4	yes	—
135	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
139	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
140	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
141	C₈×C₁₃	—	2	4	no	—
142	C₈×C₁₃	C₂×C₄⋊C₄	1	8	yes	complemented
143	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
144	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
145	C₂²×C₄⋊C₄	—	2	2	no	—
146	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
147	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
148	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
149	C₂×#107	—	2	4	no	—
150	C₂×#107	C₄×C₁₃	1	8	yes	complemented
151	C₂×#107	C₂²×C₁₃	1	4	yes	—
152	C₂×#107	C₂²×C₁₃	1	4	yes	—
153	C₂×C₄×C₈	—	2	4	no	—
154	C₂×C₄×C₈	C₂²×C₁₃	1	4	yes	—
155	#389	—	2	4	no	—
156	#389	C₂²×C₁₃	1	8	yes	—
157	C₂×#95	—	2	2	no	—
158	#340	C₂²×C₁₃	1	8	yes	—
159	C₂²×C₁₃	#389	1	4	yes	—
160	C₂²×C₁₃	C₄×D₈	1	4	yes	—
161	C₂²×C₁₃	C₄×Q₁₆	1	4	yes	—
162	C₂²×C₁₃	#466	1	4	yes	—
163	C₂²×C₁₃	#467	1	4	yes	—
164	C₂²×C₁₃	#499	1	4	yes	—
165	C₂²×C₁₃	#500	1	4	yes	—
166	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
167	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
168	C₂²×C₁₃	C₂×C₄⋊Q₈	1	1	yes	characteristic
169	C₂²×C₁₃	C₂²×D₈	1	1	yes	characteristic
170	C₂²×C₁₃	C₂²×Q₁₆	1	1	yes	characteristic
171	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
172	C₂²×C₁₃	C₂×#135	1	1	yes	characteristic
173	C₄×C₁₃	—	2	4	no	—
174	C₄×C₁₃	—	2	4	no	—
175	C₄×C₁₃	—	4	8	no	—
176	C₄×C₁₃	—	8	4	no	—
177	C₄×C₁₃	#389	1	4	yes	—
178	C₄×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
179	C₄×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
180	C₄×C₁₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
181	C₄×C₁₃	C₂×#125	1	1	yes	characteristic
182	C₂³×C₄	—	2	2	no	—
183	C₂³×C₄	—	2	2	no	—
184	C₂³×C₄	D₄×C₁₃	1	1	yes	characteristic
185	C₂³×C₄	D₄×C₁₃	1	1	yes	characteristic
186	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
187	C₂²×C₈	—	2	2	no	—
188	C₂²×C₈	—	2	2	no	—
189	C₂²×C₈	C₂×C₄×C₁₃	1	4	yes	—
190	C₂²×C₈	D₄×C₁₃	1	4	yes	—
191	C₂²×C₈	Q₈×C₁₃	1	4	yes	—
192	C₂²×C₈	Q₈×C₁₃	1	4	yes	—
193	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
194	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
195	C₂×C₄⋊C₄	—	2	2	no	—
196	C₂×C₄⋊C₄	—	2	4	no	—
197	C₂×C₄⋊C₄	—	2	4	no	—
198	C₂×C₄⋊C₄	—	2	4	no	—
199	C₂×C₄⋊C₄	—	2	8	no	—
200	C₂×C₄⋊C₄	—	2	2	no	—
201	C₂×C₄⋊C₄	—	4	8	no	—
202	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	8	yes	—
203	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
204	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
205	C₂×C₄²	—	2	2	no	—
206	C₂×C₄²	—	2	2	no	—
207	C₂×C₄²	D₄×C₁₃	1	2	yes	—
208	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
209	#107	—	2	8	no	—
210	#107	C₂×C₄×C₁₃	1	16	yes	complemented
211	C₄×C₈	—	2	8	no	—
212	#95	—	2	8	no	—
213	C₂×C₁₃	#1942	1	8	yes	direct product factor
214	C₂×C₁₃	C₂×#389	1	1	yes	characteristic
215	C₂×C₁₃	C₂×C₄×D₈	1	1	yes	characteristic
216	C₂×C₁₃	C₂×C₄×Q₁₆	1	1	yes	characteristic
217	C₂×C₁₃	C₂×#466	1	1	yes	characteristic
218	C₂×C₁₃	C₂×#467	1	1	yes	characteristic
219	C₂×C₁₃	C₂×#499	1	1	yes	characteristic
220	C₂×C₁₃	C₂×#500	1	1	yes	characteristic
221	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
222	C₂²×C₄	—	2	2	no	—
223	C₂²×C₄	—	2	2	no	—
224	C₂²×C₄	—	2	2	no	—
225	C₂²×C₄	—	2	2	no	—
226	C₂²×C₄	—	2	8	no	—
227	C₂²×C₄	—	2	4	no	—
228	C₂²×C₄	—	2	4	no	—
229	C₂²×C₄	—	4	4	no	—
230	C₂²×C₄	—	4	4	no	—
231	C₂²×C₄	—	4	4	no	—
232	C₂²×C₄	—	4	4	no	—
233	C₂²×C₄	—	4	4	no	—
234	C₂²×C₄	C₁₃×D₈	1	4	yes	—
235	C₂²×C₄	C₁₃×Q₁₆	1	4	yes	—
236	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
237	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
238	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
239	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
240	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
241	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
242	C₂²×C₄	C₂×Q₈×C₁₃	1	2	yes	—
243	C₂²×C₄	C₁₃×#41	1	2	yes	—
244	C₂²×C₄	C₁₃×#41	1	2	yes	—
245	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
246	C₂×C₈	—	2	8	no	—
247	C₂×C₈	—	2	2	no	—
248	C₂×C₈	—	2	2	no	—
249	C₂×C₈	C₁₃×C₄⋊C₄	1	16	yes	complemented
250	C₂×C₈	C₂²×C₄×C₁₃	1	4	yes	—
251	C₂×C₈	C₂×D₄×C₁₃	1	4	yes	—
252	C₂×C₈	C₂×Q₈×C₁₃	1	4	yes	—
253	C₂×C₈	C₂×Q₈×C₁₃	1	4	yes	—
254	C₄⋊C₄	—	2	8	no	—
255	C₄⋊C₄	—	2	4	no	—
256	C₄⋊C₄	—	2	4	no	—
257	C₄⋊C₄	—	2	4	no	—
258	C₄⋊C₄	—	4	4	no	—
259	C₄⋊C₄	—	4	16	no	—
260	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
261	C₄²	—	2	4	no	—
262	C₄²	—	2	2	no	—
263	C₄²	—	2	2	no	—
264	C₁₃	C₂×#1942	1	1	yes	characteristic, direct product factor, Sylow
265	C₂³	C₄×D₄×C₁₃	1	2	yes	—
266	C₂³	C₁₃×#121	1	2	yes	—
267	C₂³	C₁₃×C₄⋊Q₈	1	2	yes	—
268	C₂³	C₂×C₁₃×D₈	1	2	yes	—
269	C₂³	C₂×C₁₃×Q₁₆	1	2	yes	—
270	C₂³	C₁₃×#135	1	2	yes	—
271	C₂³	C₁₃×#135	1	2	yes	—
272	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
273	C₂×C₄	—	2	8	no	—
274	C₂×C₄	—	2	8	no	—
275	C₂×C₄	—	2	2	no	—
276	C₂×C₄	—	2	2	no	—
277	C₂×C₄	—	2	2	no	—
278	C₂×C₄	—	2	2	no	—
279	C₂×C₄	—	2	8	no	—
280	C₂×C₄	—	4	16	no	—
281	C₂×C₄	—	4	4	no	—
282	C₂×C₄	—	4	4	no	—
283	C₂×C₄	—	4	4	no	—
284	C₂×C₄	—	4	4	no	—
285	C₂×C₄	—	4	4	no	—
286	C₂×C₄	—	8	8	no	—
287	C₂×C₄	C₂×C₁₃×C₄⋊C₄	1	4	yes	—
288	C₂×C₄	C₄×D₄×C₁₃	1	2	yes	—
289	C₂×C₄	C₄×Q₈×C₁₃	1	4	yes	—
290	C₂×C₄	C₁₃×#121	1	2	yes	—
291	C₂×C₄	C₁₃×C₂²⋊Q₈	1	4	yes	—
292	C₂×C₄	C₁₃×#125	1	4	yes	—
293	C₂×C₄	C₁₃×C₄⋊Q₈	1	2	yes	—
294	C₂×C₄	C₂×C₁₃×D₈	1	4	yes	—
295	C₂×C₄	C₂×C₁₃×Q₁₆	1	4	yes	—
296	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
297	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
298	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
299	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
300	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
301	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
302	C₈	—	2	4	no	—
303	C₈	C₂×C₁₃×C₄⋊C₄	1	8	yes	complemented
304	C₂²	C₁₃×#389	1	4	yes	—
305	C₂²	C₄×C₁₃×D₈	1	4	yes	—
306	C₂²	C₄×C₁₃×Q₁₆	1	4	yes	—
307	C₂²	C₁₃×#466	1	4	yes	—
308	C₂²	C₁₃×#467	1	4	yes	—
309	C₂²	C₁₃×#499	1	4	yes	—
310	C₂²	C₁₃×#500	1	4	yes	—
311	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
312	C₂²	C₂×C₁₃×#121	1	1	yes	characteristic
313	C₂²	C₂×C₁₃×C₄⋊Q₈	1	1	yes	characteristic
314	C₂²	C₂²×C₁₃×D₈	1	1	yes	characteristic
315	C₂²	C₂²×C₁₃×Q₁₆	1	1	yes	characteristic
316	C₂²	C₂×C₁₃×#135	1	1	yes	characteristic
317	C₂²	C₂×C₁₃×#135	1	1	yes	characteristic
318	C₄	—	2	4	no	—
319	C₄	—	2	4	no	—
320	C₄	—	4	8	no	—
321	C₄	—	8	4	no	—
322	C₄	C₁₃×#389	1	4	yes	—
323	C₄	C₂²×C₁₃×C₄⋊C₄	1	1	yes	characteristic
324	C₄	C₂×C₄×Q₈×C₁₃	1	1	yes	characteristic
325	C₄	C₂×C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
326	C₄	C₂×C₁₃×#125	1	1	yes	characteristic
327	C₂	C₁₃×#1942	1	8	yes	direct product factor
328	C₂	C₂×C₁₃×#389	1	1	yes	characteristic
329	C₂	C₂×C₄×C₁₃×D₈	1	1	yes	characteristic
330	C₂	C₂×C₄×C₁₃×Q₁₆	1	1	yes	characteristic
331	C₂	C₂×C₁₃×#466	1	1	yes	characteristic
332	C₂	C₂×C₁₃×#467	1	1	yes	characteristic
333	C₂	C₂×C₁₃×#499	1	1	yes	characteristic
334	C₂	C₂×C₁₃×#500	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂⁴×C₁₃	C₂×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₃ ◁ C₂²×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
5. C₁₃×#1942	C₂	direct (N × H)
14. C₂×C₁₃×#107	C₄	semidirect
51. C₁₃×#107	C₂×C₄	semidirect
54. C₂×#1942	C₁₃	direct (N × H)
83. C₂×C₈×C₁₃	C₄⋊C₄	semidirect
102. #1942	C₂×C₁₃	direct (N × H)
142. C₈×C₁₃	C₂×C₄⋊C₄	semidirect
150. C₂×#107	C₄×C₁₃	semidirect
210. #107	C₂×C₄×C₁₃	semidirect
213. C₂×C₁₃	#1942	direct (N × H)
249. C₂×C₈	C₁₃×C₄⋊C₄	semidirect
264. C₁₃	C₂×#1942	direct (N × H)
303. C₈	C₂×C₁₃×C₄⋊C₄	semidirect
327. C₂	C₁₃×#1942	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₃×#107	2
C₂²×C₄×C₈×C₁₃	2
C₂×C₁₃×#389	2
C₁₃×#1942	2
C₂×C₁₃×#340	2
C₂×#1942	13

Subgroups — C2×C13×#1942 #15707489

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#1942 #15707489