Subgroups — C₂×C₁₃×#3377 #15747654

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 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	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#556	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3377	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₁₃×#491	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#489	C₂	1	1	yes	maximal, characteristic
6	C₂×C₁₃×#488	C₂	1	1	yes	maximal, characteristic
7	C₂×C₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#477	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic
10	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic
11	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic
12	C₂×C₁₃×#462	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×#446	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#441	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#440	C₂	1	1	yes	maximal, characteristic
16	C₂×C₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
20	C₁₃×#557	—	2	4	no	—
21	C₁₃×#557	C₂²	1	8	yes	complemented
22	C₁₃×#556	—	2	4	no	—
23	C₁₃×#556	C₂²	1	8	yes	—
24	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
25	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#126	—	2	1	no	—
28	C₂×C₁₃×#126	—	2	1	no	—
29	C₂×C₁₃×#125	—	2	1	no	—
30	C₂×C₁₃×#125	—	2	1	no	—
31	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
36	C₂×C₄×Q₈×C₁₃	—	2	1	no	—
37	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#117	—	2	1	no	—
45	C₁₃×#491	C₂²	1	8	yes	complemented
46	C₁₃×#489	C₂²	1	8	yes	—
47	C₁₃×#488	C₂²	1	8	yes	—
48	C₁₃×#479	C₂²	1	8	yes	complemented
49	C₁₃×#478	C₂²	1	8	yes	—
50	C₁₃×#477	C₂²	1	8	yes	complemented
51	C₁₃×#464	C₂²	1	8	yes	—
52	C₁₃×#464	C₂²	1	8	yes	—
53	C₁₃×#462	C₂²	1	8	yes	complemented
54	C₁₃×#446	C₂²	1	8	yes	complemented
55	C₁₃×#441	C₂²	1	8	yes	complemented
56	C₁₃×#440	C₂²	1	8	yes	—
57	C₄×C₁₃×Q₁₆	C₂²	1	8	yes	complemented
58	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
63	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
65	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
66	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
68	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
69	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
70	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
71	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
72	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
74	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
75	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
77	C₂²×Q₈×C₁₃	—	2	1	no	—
78	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
79	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
80	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
83	C₂³×C₄×C₁₃	—	2	1	no	—
84	C₂×C₁₃×Q₁₆	—	2	4	no	—
85	C₂×C₁₃×Q₁₆	—	2	4	no	—
86	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
87	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
88	C₂×C₁₃×SD₁₆	—	2	4	no	—
89	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
90	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
91	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
92	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
93	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
94	C₁₃×C₄⋊Q₈	—	2	8	no	—
95	C₁₃×C₄⋊Q₈	—	2	2	no	—
96	C₁₃×C₄⋊Q₈	—	2	2	no	—
97	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
98	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
99	C₁₃×#126	—	2	8	no	—
100	C₁₃×#126	—	2	8	no	—
101	C₁₃×#125	—	2	8	no	—
102	C₁₃×#125	—	2	8	no	—
103	C₁₃×#125	—	2	2	no	—
104	C₁₃×#125	—	2	2	no	—
105	C₁₃×#125	C₂³	1	4	yes	—
106	C₁₃×#125	C₂³	1	4	yes	—
107	C₁₃×#124	—	2	2	no	—
108	C₁₃×#124	—	2	2	no	—
109	C₁₃×#124	C₂³	1	4	yes	—
110	C₁₃×#124	C₂³	1	4	yes	—
111	C₁₃×C₂²⋊Q₈	—	2	8	no	—
112	C₄×Q₈×C₁₃	—	2	8	no	—
113	C₄×Q₈×C₁₃	—	2	2	no	—
114	C₄×Q₈×C₁₃	—	2	2	no	—
115	C₄×Q₈×C₁₃	—	2	2	no	—
116	C₄×Q₈×C₁₃	—	2	2	no	—
117	C₄×Q₈×C₁₃	—	2	2	no	—
118	C₄×Q₈×C₁₃	D₄	1	4	yes	—
119	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
120	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
121	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
122	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
123	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
124	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
125	C₄×D₄×C₁₃	—	2	2	no	—
126	C₄×D₄×C₁₃	C₂³	1	4	yes	—
127	C₁₃×#117	—	2	8	no	—
128	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
129	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
130	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
131	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
132	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
133	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
134	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
135	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
136	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
137	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
138	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
139	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
140	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
141	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
142	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
143	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
148	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
149	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
150	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
151	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
152	C₂×C₄²×C₁₃	—	2	1	no	—
153	C₂×C₄²×C₁₃	—	2	1	no	—
154	C₂×C₄²×C₁₃	—	2	1	no	—
155	C₂×C₄²×C₁₃	—	2	1	no	—
156	C₂×C₄²×C₁₃	—	2	1	no	—
157	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
158	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
159	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
160	C₁₃×#107	C₂³	1	4	yes	—
161	C₁₃×#107	C₂³	1	4	yes	—
162	C₁₃×#106	C₂³	1	4	yes	—
163	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
164	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
165	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
166	C₁₃×#103	C₂³	1	4	yes	—
167	C₁₃×#103	C₂³	1	4	yes	—
168	C₁₃×#103	C₂³	1	4	yes	—
169	C₁₃×#103	C₂³	1	4	yes	—
170	C₁₃×#103	C₂³	1	4	yes	—
171	C₁₃×#103	C₂³	1	4	yes	—
172	C₁₃×#103	C₂³	1	4	yes	—
173	C₁₃×#102	C₂³	1	4	yes	—
174	C₁₃×#102	C₂³	1	4	yes	—
175	C₁₃×#102	C₂³	1	4	yes	—
176	C₁₃×#97	C₂³	1	4	yes	—
177	C₁₃×#97	C₂³	1	4	yes	—
178	C₄×C₈×C₁₃	C₂³	1	4	yes	—
179	C₂×#3377	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
180	C₂⁴×C₁₃	—	2	1	no	—
181	C₂×Q₈×C₁₃	—	2	1	no	—
182	C₂×Q₈×C₁₃	—	2	1	no	—
183	C₂×Q₈×C₁₃	—	2	1	no	—
184	C₂×Q₈×C₁₃	—	2	4	no	—
185	C₂×Q₈×C₁₃	—	2	2	no	—
186	C₂×Q₈×C₁₃	—	2	2	no	—
187	C₂×Q₈×C₁₃	—	2	2	no	—
188	C₂×Q₈×C₁₃	—	2	2	no	—
189	C₂×Q₈×C₁₃	—	2	2	no	—
190	C₂×Q₈×C₁₃	—	4	2	no	—
191	C₂×Q₈×C₁₃	—	4	4	no	—
192	C₂×Q₈×C₁₃	C₂×D₄	1	4	yes	—
193	C₂×Q₈×C₁₃	#41	1	4	yes	—
194	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
195	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
196	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
197	C₂×D₄×C₁₃	—	2	1	no	—
198	C₂×D₄×C₁₃	—	2	2	no	—
199	C₂×D₄×C₁₃	—	2	2	no	—
200	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
201	C₂²×C₄×C₁₃	—	2	1	no	—
202	C₂²×C₄×C₁₃	—	2	1	no	—
203	C₂²×C₄×C₁₃	—	2	1	no	—
204	C₂²×C₄×C₁₃	—	2	1	no	—
205	C₂²×C₄×C₁₃	—	2	1	no	—
206	C₂²×C₄×C₁₃	—	2	1	no	—
207	C₂²×C₄×C₁₃	—	2	1	no	—
208	C₂²×C₄×C₁₃	—	2	4	no	—
209	C₂²×C₄×C₁₃	—	4	4	no	—
210	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
211	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
212	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
214	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
215	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
217	C₁₃×Q₁₆	—	2	8	no	—
218	C₁₃×Q₁₆	—	2	8	no	—
219	C₁₃×SD₁₆	—	2	8	no	—
220	C₂×C₈×C₁₃	—	2	2	no	—
221	C₂×C₈×C₁₃	—	2	2	no	—
222	C₂×C₈×C₁₃	—	2	2	no	—
223	C₂×C₈×C₁₃	—	2	2	no	—
224	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
225	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
226	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
227	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
228	C₁₃×C₄⋊C₄	—	2	4	no	—
229	C₁₃×C₄⋊C₄	—	2	4	no	—
230	C₁₃×C₄⋊C₄	—	2	4	no	—
231	C₁₃×C₄⋊C₄	—	2	4	no	—
232	C₁₃×C₄⋊C₄	—	2	4	no	—
233	C₁₃×C₄⋊C₄	—	2	4	no	—
234	C₁₃×C₄⋊C₄	—	2	4	no	—
235	C₁₃×C₄⋊C₄	—	2	4	no	—
236	C₁₃×C₄⋊C₄	—	2	4	no	—
237	C₁₃×C₄⋊C₄	—	2	4	no	—
238	C₁₃×C₄⋊C₄	—	2	4	no	—
239	C₁₃×C₄⋊C₄	—	2	4	no	—
240	C₁₃×C₄⋊C₄	—	2	1	no	—
241	C₁₃×C₄⋊C₄	—	2	1	no	—
242	C₁₃×C₄⋊C₄	—	2	1	no	—
243	C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
245	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
246	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
247	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
248	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
249	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
250	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
251	C₁₃×C₂²⋊C₄	—	2	4	no	—
252	C₁₃×C₂²⋊C₄	—	2	4	no	—
253	C₁₃×C₂²⋊C₄	—	2	4	no	—
254	C₁₃×C₂²⋊C₄	—	2	4	no	—
255	C₁₃×C₂²⋊C₄	—	2	4	no	—
256	C₄²×C₁₃	—	2	4	no	—
257	C₄²×C₁₃	—	2	4	no	—
258	C₄²×C₁₃	—	2	4	no	—
259	C₄²×C₁₃	—	2	4	no	—
260	C₄²×C₁₃	—	2	4	no	—
261	C₄²×C₁₃	C₂×D₄	1	2	yes	—
262	C₄²×C₁₃	C₂×D₄	1	2	yes	—
263	C₄²×C₁₃	C₂×D₄	1	2	yes	—
264	C₄²×C₁₃	C₂⁴	1	2	yes	—
265	C₄²×C₁₃	C₂⁴	1	2	yes	—
266	C₄²×C₁₃	C₂⁴	1	2	yes	—
267	C₂×#557	C₂×C₁₃	1	1	yes	characteristic, complemented
268	C₂×#556	C₂×C₁₃	1	1	yes	characteristic
269	#3377	C₂×C₁₃	1	16	yes	direct product factor
270	C₂×#491	C₂×C₁₃	1	1	yes	characteristic, complemented
271	C₂×#489	C₂×C₁₃	1	1	yes	characteristic
272	C₂×#488	C₂×C₁₃	1	1	yes	characteristic
273	C₂×#479	C₂×C₁₃	1	1	yes	characteristic, complemented
274	C₂×#477	C₂×C₁₃	1	1	yes	characteristic, complemented
275	C₂×#478	C₂×C₁₃	1	1	yes	characteristic
276	C₂×#464	C₂×C₁₃	1	1	yes	characteristic
277	C₂×#464	C₂×C₁₃	1	1	yes	characteristic
278	C₂×#462	C₂×C₁₃	1	1	yes	characteristic, complemented
279	C₂×#446	C₂×C₁₃	1	1	yes	characteristic, complemented
280	C₂×#441	C₂×C₁₃	1	1	yes	characteristic, complemented
281	C₂×#440	C₂×C₁₃	1	1	yes	characteristic
282	C₂×C₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
283	C₂³×C₁₃	—	2	2	no	—
284	C₂³×C₁₃	—	4	2	no	—
285	C₂³×C₁₃	—	4	2	no	—
286	C₂³×C₁₃	—	4	2	no	—
287	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
288	Q₈×C₁₃	—	2	4	no	—
289	Q₈×C₁₃	—	2	2	no	—
290	Q₈×C₁₃	—	2	2	no	—
291	Q₈×C₁₃	—	2	2	no	—
292	Q₈×C₁₃	—	2	2	no	—
293	Q₈×C₁₃	—	2	2	no	—
294	Q₈×C₁₃	—	4	4	no	—
295	Q₈×C₁₃	—	4	8	no	—
296	Q₈×C₁₃	—	4	2	no	—
297	Q₈×C₁₃	—	4	2	no	—
298	Q₈×C₁₃	C₂×#41	1	4	yes	—
299	D₄×C₁₃	—	2	2	no	—
300	D₄×C₁₃	—	2	2	no	—
301	D₄×C₁₃	—	4	2	no	—
302	C₂×C₄×C₁₃	—	2	4	no	—
303	C₂×C₄×C₁₃	—	2	2	no	—
304	C₂×C₄×C₁₃	—	2	2	no	—
305	C₂×C₄×C₁₃	—	2	2	no	—
306	C₂×C₄×C₁₃	—	2	2	no	—
307	C₂×C₄×C₁₃	—	2	2	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	2	no	—
310	C₂×C₄×C₁₃	—	2	2	no	—
311	C₂×C₄×C₁₃	—	2	2	no	—
312	C₂×C₄×C₁₃	—	2	2	no	—
313	C₂×C₄×C₁₃	—	2	2	no	—
314	C₂×C₄×C₁₃	—	2	2	no	—
315	C₂×C₄×C₁₃	—	2	2	no	—
316	C₂×C₄×C₁₃	—	4	8	no	—
317	C₂×C₄×C₁₃	—	4	2	no	—
318	C₂×C₄×C₁₃	—	4	2	no	—
319	C₂×C₄×C₁₃	—	4	2	no	—
320	C₂×C₄×C₁₃	—	4	2	no	—
321	C₂×C₄×C₁₃	—	4	2	no	—
322	C₂×C₄×C₁₃	—	4	2	no	—
323	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
324	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
325	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
326	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
327	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
328	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
329	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
330	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
331	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
332	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
333	C₈×C₁₃	—	2	2	no	—
334	C₈×C₁₃	—	2	2	no	—
335	C₈×C₁₃	—	2	2	no	—
336	C₈×C₁₃	—	2	2	no	—
337	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
338	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
339	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
340	#557	—	2	4	no	—
341	#557	C₂²×C₁₃	1	8	yes	complemented
342	#556	—	2	4	no	—
343	#556	C₂²×C₁₃	1	8	yes	—
344	C₂×C₄⋊Q₈	—	2	1	no	—
345	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
346	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
347	C₂×#126	—	2	1	no	—
348	C₂×#126	—	2	1	no	—
349	C₂×#125	—	2	1	no	—
350	C₂×#125	—	2	1	no	—
351	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
352	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
353	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
354	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
355	C₂×C₂²⋊Q₈	—	2	1	no	—
356	C₂×C₄×Q₈	—	2	1	no	—
357	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
358	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
360	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
361	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
364	C₂×#117	—	2	1	no	—
365	#491	C₂²×C₁₃	1	8	yes	complemented
366	#489	C₂²×C₁₃	1	8	yes	—
367	#488	C₂²×C₁₃	1	8	yes	—
368	#479	C₂²×C₁₃	1	8	yes	complemented
369	#478	C₂²×C₁₃	1	8	yes	—
370	#477	C₂²×C₁₃	1	8	yes	complemented
371	#464	C₂²×C₁₃	1	8	yes	—
372	#464	C₂²×C₁₃	1	8	yes	—
373	#462	C₂²×C₁₃	1	8	yes	complemented
374	#446	C₂²×C₁₃	1	8	yes	complemented
375	#441	C₂²×C₁₃	1	8	yes	complemented
376	#440	C₂²×C₁₃	1	8	yes	—
377	C₄×Q₁₆	C₂²×C₁₃	1	8	yes	complemented
378	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
379	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
380	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
381	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
382	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
383	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
385	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
386	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
387	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
388	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
389	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
390	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
391	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
392	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
393	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
394	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
395	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
396	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
397	C₂²×C₁₃	—	4	2	no	—
398	C₂²×C₁₃	—	4	2	no	—
399	C₂²×C₁₃	—	4	2	no	—
400	C₂²×C₁₃	—	8	4	no	—
401	C₂²×C₁₃	#548	1	2	yes	—
402	C₂²×C₁₃	#575	1	2	yes	—
403	C₂²×C₁₃	#578	1	2	yes	—
404	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
405	C₄×C₁₃	—	2	4	no	—
406	C₄×C₁₃	—	2	2	no	—
407	C₄×C₁₃	—	2	2	no	—
408	C₄×C₁₃	—	2	2	no	—
409	C₄×C₁₃	—	2	2	no	—
410	C₄×C₁₃	—	2	2	no	—
411	C₄×C₁₃	—	2	2	no	—
412	C₄×C₁₃	—	4	2	no	—
413	C₄×C₁₃	—	4	2	no	—
414	C₄×C₁₃	—	4	2	no	—
415	C₄×C₁₃	—	4	2	no	—
416	C₄×C₁₃	—	4	2	no	—
417	C₄×C₁₃	—	4	2	no	—
418	C₄×C₁₃	#548	1	2	yes	—
419	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
420	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
421	C₂²×Q₈	—	2	1	no	—
422	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
423	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
424	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
425	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
426	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
427	C₂³×C₄	—	2	1	no	—
428	C₂×Q₁₆	—	2	4	no	—
429	C₂×Q₁₆	—	2	4	no	—
430	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
431	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
432	C₂×SD₁₆	—	2	4	no	—
433	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
434	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
435	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
436	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
437	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
438	C₄⋊Q₈	—	2	8	no	—
439	C₄⋊Q₈	—	2	2	no	—
440	C₄⋊Q₈	—	2	2	no	—
441	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
442	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
443	#126	—	2	8	no	—
444	#126	—	2	8	no	—
445	#125	—	2	8	no	—
446	#125	—	2	8	no	—
447	#125	—	2	2	no	—
448	#125	—	2	2	no	—
449	#125	C₂³×C₁₃	1	4	yes	—
450	#125	C₂³×C₁₃	1	4	yes	—
451	#124	—	2	2	no	—
452	#124	—	2	2	no	—
453	#124	C₂³×C₁₃	1	4	yes	—
454	#124	C₂³×C₁₃	1	4	yes	—
455	C₂²⋊Q₈	—	2	8	no	—
456	C₄×Q₈	—	2	8	no	—
457	C₄×Q₈	—	2	2	no	—
458	C₄×Q₈	—	2	2	no	—
459	C₄×Q₈	—	2	2	no	—
460	C₄×Q₈	—	2	2	no	—
461	C₄×Q₈	—	2	2	no	—
462	C₄×Q₈	D₄×C₁₃	1	4	yes	—
463	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
464	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
465	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
466	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
467	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
468	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
469	C₄×D₄	—	2	2	no	—
470	C₄×D₄	C₂³×C₁₃	1	4	yes	—
471	#117	—	2	8	no	—
472	C₂×C₄⋊C₄	—	2	1	no	—
473	C₂×C₄⋊C₄	—	2	1	no	—
474	C₂×C₄⋊C₄	—	2	1	no	—
475	C₂×C₄⋊C₄	—	2	1	no	—
476	C₂×C₄⋊C₄	—	2	1	no	—
477	C₂×C₄⋊C₄	—	2	1	no	—
478	C₂×C₄⋊C₄	—	2	1	no	—
479	C₂×C₄⋊C₄	—	2	1	no	—
480	C₂×C₄⋊C₄	—	2	1	no	—
481	C₂×C₄⋊C₄	—	2	1	no	—
482	C₂×C₄⋊C₄	—	2	1	no	—
483	C₂×C₄⋊C₄	—	2	1	no	—
484	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
485	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
486	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
487	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
488	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
489	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
491	C₂×C₂²⋊C₄	—	2	1	no	—
492	C₂×C₂²⋊C₄	—	2	1	no	—
493	C₂×C₂²⋊C₄	—	2	1	no	—
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₄²	—	2	1	no	—
497	C₂×C₄²	—	2	1	no	—
498	C₂×C₄²	—	2	1	no	—
499	C₂×C₄²	—	2	1	no	—
500	C₂×C₄²	—	2	1	no	—
501	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
502	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
503	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
504	#107	C₂³×C₁₃	1	4	yes	—
505	#107	C₂³×C₁₃	1	4	yes	—
506	#106	C₂³×C₁₃	1	4	yes	—
507	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
508	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
509	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
510	#103	C₂³×C₁₃	1	4	yes	—
511	#103	C₂³×C₁₃	1	4	yes	—
512	#103	C₂³×C₁₃	1	4	yes	—
513	#103	C₂³×C₁₃	1	4	yes	—
514	#103	C₂³×C₁₃	1	4	yes	—
515	#103	C₂³×C₁₃	1	4	yes	—
516	#103	C₂³×C₁₃	1	4	yes	—
517	#102	C₂³×C₁₃	1	4	yes	—
518	#102	C₂³×C₁₃	1	4	yes	—
519	#102	C₂³×C₁₃	1	4	yes	—
520	#97	C₂³×C₁₃	1	4	yes	—
521	#97	C₂³×C₁₃	1	4	yes	—
522	C₄×C₈	C₂³×C₁₃	1	4	yes	—
523	C₂×C₁₃	—	8	2	no	—
524	C₂×C₁₃	#3377	1	4	yes	direct product factor
525	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
526	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
527	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
528	C₂⁴	—	2	1	no	—
529	C₂×Q₈	—	2	1	no	—
530	C₂×Q₈	—	2	1	no	—
531	C₂×Q₈	—	2	1	no	—
532	C₂×Q₈	—	2	4	no	—
533	C₂×Q₈	—	2	2	no	—
534	C₂×Q₈	—	2	2	no	—
535	C₂×Q₈	—	2	2	no	—
536	C₂×Q₈	—	2	2	no	—
537	C₂×Q₈	—	2	2	no	—
538	C₂×Q₈	—	4	2	no	—
539	C₂×Q₈	—	4	4	no	—
540	C₂×Q₈	C₂×D₄×C₁₃	1	4	yes	—
541	C₂×Q₈	C₁₃×#41	1	4	yes	—
542	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
543	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
544	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
545	C₂×D₄	—	2	1	no	—
546	C₂×D₄	—	2	2	no	—
547	C₂×D₄	—	2	2	no	—
548	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
549	C₂²×C₄	—	2	1	no	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	4	no	—
557	C₂²×C₄	—	4	4	no	—
558	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
559	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
560	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
561	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
562	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
563	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
564	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
565	Q₁₆	—	2	8	no	—
566	Q₁₆	—	2	8	no	—
567	SD₁₆	—	2	8	no	—
568	C₂×C₈	—	2	2	no	—
569	C₂×C₈	—	2	2	no	—
570	C₂×C₈	—	2	2	no	—
571	C₂×C₈	—	2	2	no	—
572	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
573	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
574	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
575	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
576	C₄⋊C₄	—	2	4	no	—
577	C₄⋊C₄	—	2	4	no	—
578	C₄⋊C₄	—	2	4	no	—
579	C₄⋊C₄	—	2	4	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	—	2	4	no	—
582	C₄⋊C₄	—	2	4	no	—
583	C₄⋊C₄	—	2	4	no	—
584	C₄⋊C₄	—	2	4	no	—
585	C₄⋊C₄	—	2	4	no	—
586	C₄⋊C₄	—	2	4	no	—
587	C₄⋊C₄	—	2	4	no	—
588	C₄⋊C₄	—	2	1	no	—
589	C₄⋊C₄	—	2	1	no	—
590	C₄⋊C₄	—	2	1	no	—
591	C₄⋊C₄	—	2	1	no	—
592	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
593	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
594	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
595	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
596	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
597	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
598	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
599	C₂²⋊C₄	—	2	4	no	—
600	C₂²⋊C₄	—	2	4	no	—
601	C₂²⋊C₄	—	2	4	no	—
602	C₂²⋊C₄	—	2	4	no	—
603	C₂²⋊C₄	—	2	4	no	—
604	C₄²	—	2	4	no	—
605	C₄²	—	2	4	no	—
606	C₄²	—	2	4	no	—
607	C₄²	—	2	4	no	—
608	C₄²	—	2	4	no	—
609	C₄²	C₂×D₄×C₁₃	1	2	yes	—
610	C₄²	C₂×D₄×C₁₃	1	2	yes	—
611	C₄²	C₂×D₄×C₁₃	1	2	yes	—
612	C₄²	C₂⁴×C₁₃	1	2	yes	—
613	C₄²	C₂⁴×C₁₃	1	2	yes	—
614	C₄²	C₂⁴×C₁₃	1	2	yes	—
615	C₁₃	C₂×#3377	1	1	yes	characteristic, direct product factor, Sylow
616	C₂³	—	2	2	no	—
617	C₂³	—	4	2	no	—
618	C₂³	—	4	2	no	—
619	C₂³	—	4	2	no	—
620	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
621	Q₈	—	2	4	no	—
622	Q₈	—	2	2	no	—
623	Q₈	—	2	2	no	—
624	Q₈	—	2	2	no	—
625	Q₈	—	2	2	no	—
626	Q₈	—	2	2	no	—
627	Q₈	—	4	4	no	—
628	Q₈	—	4	8	no	—
629	Q₈	—	4	2	no	—
630	Q₈	—	4	2	no	—
631	Q₈	C₂×C₁₃×#41	1	4	yes	—
632	D₄	—	2	2	no	—
633	D₄	—	2	2	no	—
634	D₄	—	4	2	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	2	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	2	no	—
642	C₂×C₄	—	2	2	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	2	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	4	8	no	—
650	C₂×C₄	—	4	2	no	—
651	C₂×C₄	—	4	2	no	—
652	C₂×C₄	—	4	2	no	—
653	C₂×C₄	—	4	2	no	—
654	C₂×C₄	—	4	2	no	—
655	C₂×C₄	—	4	2	no	—
656	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
657	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
658	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
659	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
660	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
661	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
662	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
663	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
664	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
665	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
666	C₈	—	2	2	no	—
667	C₈	—	2	2	no	—
668	C₈	—	2	2	no	—
669	C₈	—	2	2	no	—
670	C₂²	—	4	2	no	—
671	C₂²	—	4	2	no	—
672	C₂²	—	4	2	no	—
673	C₂²	—	8	4	no	—
674	C₂²	C₁₃×#548	1	2	yes	—
675	C₂²	C₁₃×#575	1	2	yes	—
676	C₂²	C₁₃×#578	1	2	yes	—
677	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
678	C₄	—	2	2	no	—
679	C₄	—	2	2	no	—
680	C₄	—	2	2	no	—
681	C₄	—	2	2	no	—
682	C₄	—	2	2	no	—
683	C₄	—	2	2	no	—
684	C₄	—	2	4	no	—
685	C₄	—	4	2	no	—
686	C₄	—	4	2	no	—
687	C₄	—	4	2	no	—
688	C₄	—	4	2	no	—
689	C₄	—	4	2	no	—
690	C₄	—	4	2	no	—
691	C₄	C₁₃×#548	1	2	yes	—
692	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
693	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
694	C₂	—	8	2	no	—
695	C₂	C₁₃×#3377	1	4	yes	direct product factor
696	C₂	C₂×C₁₃×#548	1	1	yes	characteristic
697	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
698	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₂²×D₄×C₁₃	C₂³
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
1. C₂×C₁₃×#557	C₂	semidirect
3. C₁₃×#3377	C₂	direct (N × H)
4. C₂×C₁₃×#491	C₂	semidirect
7. C₂×C₁₃×#479	C₂	semidirect
8. C₂×C₁₃×#477	C₂	semidirect
12. C₂×C₁₃×#462	C₂	semidirect
13. C₂×C₁₃×#446	C₂	semidirect
14. C₂×C₁₃×#441	C₂	semidirect
16. C₂×C₄×C₁₃×Q₁₆	C₂	semidirect
21. C₁₃×#557	C₂²	semidirect
45. C₁₃×#491	C₂²	semidirect
48. C₁₃×#479	C₂²	semidirect
50. C₁₃×#477	C₂²	semidirect
53. C₁₃×#462	C₂²	semidirect
54. C₁₃×#446	C₂²	semidirect
55. C₁₃×#441	C₂²	semidirect
57. C₄×C₁₃×Q₁₆	C₂²	semidirect
179. C₂×#3377	C₁₃	direct (N × H)
267. C₂×#557	C₂×C₁₃	semidirect
269. #3377	C₂×C₁₃	direct (N × H)
270. C₂×#491	C₂×C₁₃	semidirect
273. C₂×#479	C₂×C₁₃	semidirect
274. C₂×#477	C₂×C₁₃	semidirect
278. C₂×#462	C₂×C₁₃	semidirect
279. C₂×#446	C₂×C₁₃	semidirect
280. C₂×#441	C₂×C₁₃	semidirect
282. C₂×C₄×Q₁₆	C₂×C₁₃	semidirect
341. #557	C₂²×C₁₃	semidirect
365. #491	C₂²×C₁₃	semidirect
368. #479	C₂²×C₁₃	semidirect
370. #477	C₂²×C₁₃	semidirect
373. #462	C₂²×C₁₃	semidirect
374. #446	C₂²×C₁₃	semidirect
375. #441	C₂²×C₁₃	semidirect
377. C₄×Q₁₆	C₂²×C₁₃	semidirect
524. C₂×C₁₃	#3377	direct (N × H)
615. C₁₃	C₂×#3377	direct (N × H)
695. C₂	C₁₃×#3377	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
C₂×C₁₃×#556	2
C₁₃×#3377	2
C₂×C₁₃×#491	2
C₂×C₁₃×#489	2
C₂×C₁₃×#488	2
C₂×C₁₃×#479	2
C₂×C₁₃×#477	2
C₂×C₁₃×#478	2
C₂×C₁₃×#464	2
C₂×C₁₃×#462	2
C₂×C₁₃×#446	2
C₂×C₁₃×#441	2
C₂×C₁₃×#440	2
C₂×C₄×C₁₃×Q₁₆	2
C₂×#3377	13

Subgroups — C2×C13×#3377 #15747654

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3377 #15747654