Subgroups — C₁₃×#34230 #15720569

Order 3328.

2330 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2370	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2367	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2361	C₂	1	2	yes	maximal
5	C₁₃×#2360	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2353	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2349	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2347	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2343	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2334	C₂	1	4	yes	maximal, complemented
11	C₁₃×#2320	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2319	C₂	1	1	yes	maximal, characteristic, complemented
13	C₄×C₁₃×#123	C₂	1	4	yes	maximal, complemented
14	C₁₃×#2283	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2276	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#529	C₄	1	16	yes	complemented
19	C₂×C₁₃×#126	C₂²	1	2	yes	—
20	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#123	C₂²	1	2	yes	—
23	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
25	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
26	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
27	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
28	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
29	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
31	C₂×C₁₃×#117	C₂²	1	2	yes	—
32	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
33	C₂²×C₄²×C₁₃	C₂²	1	2	yes	—
34	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#391	C₂²	1	2	yes	—
36	C₁₃×#390	C₂²	1	2	yes	—
37	C₁₃×#389	C₂²	1	2	yes	—
38	C₁₃×#389	C₂²	1	2	yes	—
39	C₁₃×#389	C₂²	1	4	yes	—
40	C₁₃×#389	C₂²	1	4	yes	—
41	C₁₃×#388	C₂²	1	4	yes	—
42	C₁₃×#388	C₂²	1	4	yes	—
43	C₁₃×#388	C₂²	1	4	yes	—
44	C₁₃×#388	C₂²	1	4	yes	—
45	C₁₃×#387	C₂²	1	4	yes	—
46	C₁₃×#387	C₂²	1	4	yes	—
47	C₁₃×#387	C₂²	1	4	yes	—
48	C₁₃×#387	C₂²	1	4	yes	—
49	C₁₃×#386	C₂²	1	4	yes	—
50	C₁₃×#385	C₂²	1	4	yes	—
51	C₁₃×#385	C₂²	1	4	yes	—
52	C₁₃×#385	C₂²	1	4	yes	—
53	C₁₃×#383	C₂²	1	1	yes	characteristic
54	C₁₃×#383	C₂²	1	1	yes	characteristic
55	C₁₃×#383	C₂²	1	2	yes	—
56	C₁₃×#382	C₂²	1	2	yes	—
57	C₁₃×#382	C₂²	1	2	yes	—
58	C₁₃×#381	C₂²	1	2	yes	—
59	C₁₃×#381	C₂²	1	2	yes	—
60	C₁₃×#380	C₂²	1	1	yes	characteristic
61	C₁₃×#380	C₂²	1	1	yes	characteristic
62	C₁₃×#380	C₂²	1	2	yes	—
63	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
64	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
66	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
67	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
68	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
69	C₄×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
70	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
71	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
72	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
73	C₄×C₁₃×C₄⋊C₄	C₂²	1	4	yes	—
74	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	—
75	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
76	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
77	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	—
78	C₄×C₁₃×C₂²⋊C₄	C₂²	1	4	yes	—
79	C₁₃×#376	C₂²	1	1	yes	characteristic
80	C₁₃×#376	C₂²	1	1	yes	characteristic
81	C₁₃×#376	C₂²	1	2	yes	—
82	C₂×C₁₃×#95	C₂²	1	2	yes	—
83	C₂×C₁₃×#95	C₂²	1	2	yes	—
84	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
85	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
86	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
88	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
91	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
92	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
93	C₁₃×#126	C₂×C₄	1	16	yes	complemented
94	C₁₃×#125	C₂×C₄	1	8	yes	complemented
95	C₁₃×#124	C₂×C₄	1	8	yes	complemented
96	C₁₃×#123	C₂×C₄	1	16	yes	complemented
97	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
98	C₁₃×#121	C₂×C₄	1	8	yes	—
99	C₄×Q₈×C₁₃	—	2	8	no	—
100	C₄×Q₈×C₁₃	C₂×C₄	1	8	yes	complemented
101	C₄×D₄×C₁₃	—	2	8	no	—
102	C₄×D₄×C₁₃	—	4	8	no	—
103	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
104	C₄×D₄×C₁₃	C₂×C₄	1	16	yes	complemented
105	C₁₃×#117	C₂×C₄	1	16	yes	complemented
106	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
107	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
108	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
109	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
110	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
111	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
112	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
113	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
114	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
115	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
116	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
117	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
118	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
119	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
121	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
122	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
123	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
124	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
125	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
126	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
127	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
128	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
129	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
130	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
131	C₂×C₄²×C₁₃	—	4	4	no	—
132	C₂×C₄²×C₁₃	C₂×C₄	1	8	yes	complemented
133	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
134	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
135	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
136	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
137	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
138	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
139	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
140	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
141	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
142	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
143	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
144	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
145	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
146	C₁₃×#95	C₂³	1	2	yes	—
147	C₁₃×#95	C₂³	1	1	yes	characteristic
148	C₁₃×#95	C₂³	1	2	yes	—
149	C₁₃×#95	C₂³	1	2	yes	—
150	C₁₃×#95	C₂³	1	4	yes	—
151	C₁₃×#95	C₂³	1	4	yes	—
152	C₁₃×#95	C₂³	1	2	yes	—
153	C₁₃×#95	C₂³	1	2	yes	—
154	C₁₃×#95	C₂³	1	4	yes	—
155	C₁₃×#95	C₂³	1	4	yes	—
156	C₁₃×#95	C₂³	1	2	yes	—
157	C₁₃×#95	C₂³	1	1	yes	characteristic
158	C₁₃×#95	C₂³	1	2	yes	—
159	C₁₃×#95	C₂³	1	2	yes	—
160	C₁₃×#95	C₂³	1	4	yes	—
161	C₁₃×#95	C₂³	1	4	yes	—
162	C₁₃×#95	C₂³	1	4	yes	—
163	C₁₃×#95	C₂³	1	1	yes	characteristic
164	C₁₃×#95	C₂³	1	1	yes	characteristic
165	#34230	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
166	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
167	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
168	C₂×Q₈×C₁₃	—	2	4	no	—
169	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
170	C₂×D₄×C₁₃	—	2	4	no	—
171	C₂×D₄×C₁₃	—	2	4	no	—
172	C₂×D₄×C₁₃	—	2	4	no	—
173	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
174	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
175	C₂²×C₄×C₁₃	—	2	2	no	—
176	C₂²×C₄×C₁₃	—	2	2	no	—
177	C₂²×C₄×C₁₃	—	2	4	no	—
178	C₂²×C₄×C₁₃	—	2	8	no	—
179	C₂²×C₄×C₁₃	—	2	8	no	—
180	C₂²×C₄×C₁₃	—	2	8	no	—
181	C₂²×C₄×C₁₃	—	4	4	no	—
182	C₂²×C₄×C₁₃	—	4	4	no	—
183	C₂²×C₄×C₁₃	—	4	2	no	—
184	C₂²×C₄×C₁₃	—	4	4	no	—
185	C₂²×C₄×C₁₃	—	4	4	no	—
186	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
187	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
188	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
189	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
190	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
191	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
192	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
193	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
194	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
195	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
196	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
197	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
198	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
199	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
201	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
202	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
203	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
204	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
205	C₁₃×C₄⋊C₄	—	2	8	no	—
206	C₁₃×C₄⋊C₄	—	2	4	no	—
207	C₁₃×C₄⋊C₄	—	2	8	no	—
208	C₁₃×C₄⋊C₄	—	4	4	no	—
209	C₁₃×C₄⋊C₄	—	4	2	no	—
210	C₁₃×C₄⋊C₄	—	4	2	no	—
211	C₁₃×C₄⋊C₄	—	4	4	no	—
212	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
213	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
214	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
215	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
216	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
217	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
218	C₁₃×C₄⋊C₄	#41	1	8	yes	—
219	C₁₃×C₂²⋊C₄	—	2	4	no	—
220	C₁₃×C₂²⋊C₄	—	2	4	no	—
221	C₁₃×C₂²⋊C₄	—	2	8	no	—
222	C₁₃×C₂²⋊C₄	—	4	4	no	—
223	C₁₃×C₂²⋊C₄	—	4	4	no	—
224	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
225	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
226	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
227	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
228	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
229	C₄²×C₁₃	—	2	4	no	—
230	C₄²×C₁₃	—	2	8	no	—
231	C₄²×C₁₃	—	2	4	no	—
232	C₄²×C₁₃	—	4	2	no	—
233	C₄²×C₁₃	—	4	4	no	—
234	C₄²×C₁₃	—	4	2	no	—
235	C₄²×C₁₃	—	4	4	no	—
236	C₄²×C₁₃	—	4	4	no	—
237	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
238	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
239	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
240	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
241	C₄²×C₁₃	C₂²×C₄	1	8	yes	—
242	C₂×#529	C₂×C₁₃	1	1	yes	characteristic
243	#2370	C₂×C₁₃	1	2	yes	complemented
244	#2367	C₂×C₁₃	1	2	yes	complemented
245	#2361	C₂×C₁₃	1	2	yes	—
246	#2360	C₂×C₁₃	1	2	yes	complemented
247	#2353	C₂×C₁₃	1	2	yes	complemented
248	#2349	C₂×C₁₃	1	2	yes	complemented
249	#2347	C₂×C₁₃	1	2	yes	complemented
250	#2343	C₂×C₁₃	1	2	yes	complemented
251	#2334	C₂×C₁₃	1	4	yes	complemented
252	#2320	C₂×C₁₃	1	1	yes	characteristic, complemented
253	#2319	C₂×C₁₃	1	1	yes	characteristic, complemented
254	C₄×#123	C₂×C₁₃	1	4	yes	complemented
255	#2283	C₂×C₁₃	1	1	yes	characteristic, complemented
256	#2276	C₂×C₁₃	1	1	yes	characteristic, complemented
257	#2275	C₂×C₁₃	1	1	yes	characteristic, complemented
258	C₂×C₄×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
259	C₂³×C₁₃	—	2	2	no	—
260	C₂³×C₁₃	—	2	2	no	—
261	C₂³×C₁₃	—	2	4	no	—
262	C₂³×C₁₃	—	2	2	no	—
263	C₂³×C₁₃	—	2	2	no	—
264	C₂³×C₁₃	—	2	4	no	—
265	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
266	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
267	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
268	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
269	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
270	Q₈×C₁₃	—	2	8	no	—
271	D₄×C₁₃	—	2	16	no	—
272	D₄×C₁₃	—	2	8	no	—
273	C₂×C₄×C₁₃	—	2	8	no	—
274	C₂×C₄×C₁₃	—	2	4	no	—
275	C₂×C₄×C₁₃	—	2	2	no	—
276	C₂×C₄×C₁₃	—	2	1	no	—
277	C₂×C₄×C₁₃	—	2	1	no	—
278	C₂×C₄×C₁₃	—	2	4	no	—
279	C₂×C₄×C₁₃	—	2	2	no	—
280	C₂×C₄×C₁₃	—	2	1	no	—
281	C₂×C₄×C₁₃	—	2	1	no	—
282	C₂×C₄×C₁₃	—	2	2	no	—
283	C₂×C₄×C₁₃	—	2	4	no	—
284	C₂×C₄×C₁₃	—	2	4	no	—
285	C₂×C₄×C₁₃	—	2	2	no	—
286	C₂×C₄×C₁₃	—	2	2	no	—
287	C₂×C₄×C₁₃	—	2	8	no	—
288	C₂×C₄×C₁₃	—	2	2	no	—
289	C₂×C₄×C₁₃	—	2	2	no	—
290	C₂×C₄×C₁₃	—	2	2	no	—
291	C₂×C₄×C₁₃	—	2	2	no	—
292	C₂×C₄×C₁₃	—	2	4	no	—
293	C₂×C₄×C₁₃	—	2	2	no	—
294	C₂×C₄×C₁₃	—	2	4	no	—
295	C₂×C₄×C₁₃	—	2	2	no	—
296	C₂×C₄×C₁₃	—	2	2	no	—
297	C₂×C₄×C₁₃	—	2	2	no	—
298	C₂×C₄×C₁₃	—	2	2	no	—
299	C₂×C₄×C₁₃	—	2	2	no	—
300	C₂×C₄×C₁₃	—	2	4	no	—
301	C₂×C₄×C₁₃	—	2	2	no	—
302	C₂×C₄×C₁₃	—	2	2	no	—
303	C₂×C₄×C₁₃	—	4	4	no	—
304	C₂×C₄×C₁₃	—	4	8	no	—
305	C₂×C₄×C₁₃	—	4	16	no	—
306	C₂×C₄×C₁₃	—	8	8	no	—
307	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
308	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
309	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
310	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
311	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
312	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
313	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
314	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
315	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
316	C₂×C₄×C₁₃	C₂×#41	1	8	yes	—
317	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
318	#529	C₄×C₁₃	1	16	yes	complemented
319	C₂×#126	C₂²×C₁₃	1	2	yes	—
320	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
321	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
322	C₂×#123	C₂²×C₁₃	1	2	yes	—
323	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
324	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
325	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
326	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
327	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
328	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
329	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
330	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
331	C₂×#117	C₂²×C₁₃	1	2	yes	—
332	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
333	C₂²×C₄²	C₂²×C₁₃	1	2	yes	—
334	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
335	#391	C₂²×C₁₃	1	2	yes	—
336	#390	C₂²×C₁₃	1	2	yes	—
337	#389	C₂²×C₁₃	1	2	yes	—
338	#389	C₂²×C₁₃	1	2	yes	—
339	#389	C₂²×C₁₃	1	4	yes	—
340	#389	C₂²×C₁₃	1	4	yes	—
341	#388	C₂²×C₁₃	1	4	yes	—
342	#388	C₂²×C₁₃	1	4	yes	—
343	#388	C₂²×C₁₃	1	4	yes	—
344	#388	C₂²×C₁₃	1	4	yes	—
345	#387	C₂²×C₁₃	1	4	yes	—
346	#387	C₂²×C₁₃	1	4	yes	—
347	#387	C₂²×C₁₃	1	4	yes	—
348	#387	C₂²×C₁₃	1	4	yes	—
349	#386	C₂²×C₁₃	1	4	yes	—
350	#385	C₂²×C₁₃	1	4	yes	—
351	#385	C₂²×C₁₃	1	4	yes	—
352	#385	C₂²×C₁₃	1	4	yes	—
353	#383	C₂²×C₁₃	1	2	yes	—
354	#383	C₂²×C₁₃	1	1	yes	characteristic
355	#383	C₂²×C₁₃	1	1	yes	characteristic
356	#382	C₂²×C₁₃	1	2	yes	—
357	#382	C₂²×C₁₃	1	2	yes	—
358	#381	C₂²×C₁₃	1	2	yes	—
359	#381	C₂²×C₁₃	1	2	yes	—
360	#380	C₂²×C₁₃	1	2	yes	—
361	#380	C₂²×C₁₃	1	1	yes	characteristic
362	#380	C₂²×C₁₃	1	1	yes	characteristic
363	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
364	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
365	C₄×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
366	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
367	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
368	C₄×C₄⋊C₄	C₂²×C₁₃	1	4	yes	—
369	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
370	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
371	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
372	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
373	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
374	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	—
375	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	—
376	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
377	C₄×C₂²⋊C₄	C₂²×C₁₃	1	4	yes	—
378	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
379	#376	C₂²×C₁₃	1	1	yes	characteristic
380	#376	C₂²×C₁₃	1	1	yes	characteristic
381	#376	C₂²×C₁₃	1	2	yes	—
382	C₂×#95	C₂²×C₁₃	1	2	yes	—
383	C₂×#95	C₂²×C₁₃	1	2	yes	—
384	C₂²×C₁₃	—	2	2	no	—
385	C₂²×C₁₃	—	2	2	no	—
386	C₂²×C₁₃	—	2	4	no	—
387	C₂²×C₁₃	—	2	4	no	—
388	C₂²×C₁₃	—	2	4	no	—
389	C₂²×C₁₃	—	2	4	no	—
390	C₂²×C₁₃	—	2	4	no	—
391	C₂²×C₁₃	—	4	4	no	—
392	C₂²×C₁₃	—	4	4	no	—
393	C₂²×C₁₃	#520	1	4	yes	—
394	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
395	C₂²×C₁₃	C₂²×#41	1	2	yes	—
396	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
397	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
398	C₂²×C₁₃	#585	1	2	yes	—
399	C₄×C₁₃	—	2	2	no	—
400	C₄×C₁₃	—	2	4	no	—
401	C₄×C₁₃	—	2	2	no	—
402	C₄×C₁₃	—	2	2	no	—
403	C₄×C₁₃	—	2	4	no	—
404	C₄×C₁₃	—	2	2	no	—
405	C₄×C₁₃	—	2	4	no	—
406	C₄×C₁₃	—	2	2	no	—
407	C₄×C₁₃	—	2	8	no	—
408	C₄×C₁₃	—	4	2	no	—
409	C₄×C₁₃	—	4	4	no	—
410	C₄×C₁₃	—	4	2	no	—
411	C₄×C₁₃	—	4	2	no	—
412	C₄×C₁₃	—	4	2	no	—
413	C₄×C₁₃	C₄×#41	1	4	yes	—
414	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
415	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
416	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
417	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
418	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
419	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
420	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
421	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
422	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
423	#126	C₂×C₄×C₁₃	1	16	yes	complemented
424	#125	C₂×C₄×C₁₃	1	8	yes	complemented
425	#124	C₂×C₄×C₁₃	1	8	yes	complemented
426	#123	C₂×C₄×C₁₃	1	16	yes	complemented
427	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
428	#121	C₂×C₄×C₁₃	1	8	yes	—
429	C₄×Q₈	—	2	8	no	—
430	C₄×Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
431	C₄×D₄	—	2	8	no	—
432	C₄×D₄	—	4	8	no	—
433	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
434	C₄×D₄	C₂×C₄×C₁₃	1	16	yes	complemented
435	#117	C₂×C₄×C₁₃	1	16	yes	complemented
436	C₂×C₄⋊C₄	—	2	8	no	—
437	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
438	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
439	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
440	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
441	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
442	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
443	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
444	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
445	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
446	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
447	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
448	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
449	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
450	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
451	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
452	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
453	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
454	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
455	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
456	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
457	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
458	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
459	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
460	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
461	C₂×C₄²	—	4	4	no	—
462	C₂×C₄²	C₂×C₄×C₁₃	1	8	yes	complemented
463	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
464	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
465	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
466	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
467	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
468	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
469	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
470	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
471	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
472	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
473	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
474	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
475	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
476	#95	C₂³×C₁₃	1	2	yes	—
477	#95	C₂³×C₁₃	1	1	yes	characteristic
478	#95	C₂³×C₁₃	1	4	yes	—
479	#95	C₂³×C₁₃	1	2	yes	—
480	#95	C₂³×C₁₃	1	4	yes	—
481	#95	C₂³×C₁₃	1	1	yes	characteristic
482	#95	C₂³×C₁₃	1	1	yes	characteristic
483	#95	C₂³×C₁₃	1	2	yes	—
484	#95	C₂³×C₁₃	1	1	yes	characteristic
485	#95	C₂³×C₁₃	1	2	yes	—
486	#95	C₂³×C₁₃	1	4	yes	—
487	#95	C₂³×C₁₃	1	2	yes	—
488	#95	C₂³×C₁₃	1	4	yes	—
489	#95	C₂³×C₁₃	1	2	yes	—
490	#95	C₂³×C₁₃	1	2	yes	—
491	#95	C₂³×C₁₃	1	4	yes	—
492	#95	C₂³×C₁₃	1	4	yes	—
493	#95	C₂³×C₁₃	1	2	yes	—
494	#95	C₂³×C₁₃	1	4	yes	—
495	C₂×C₁₃	—	2	4	no	—
496	C₂×C₁₃	—	4	4	no	—
497	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
498	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
499	C₂×C₁₃	#3428	1	1	yes	characteristic
500	C₂×C₁₃	#3513	1	2	yes	—
501	C₂×C₁₃	#3516	1	2	yes	—
502	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
503	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
504	C₂×Q₈	—	2	4	no	—
505	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
506	C₂×D₄	—	2	4	no	—
507	C₂×D₄	—	2	4	no	—
508	C₂×D₄	—	2	4	no	—
509	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
510	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
511	C₂²×C₄	—	2	2	no	—
512	C₂²×C₄	—	2	2	no	—
513	C₂²×C₄	—	2	4	no	—
514	C₂²×C₄	—	2	8	no	—
515	C₂²×C₄	—	2	8	no	—
516	C₂²×C₄	—	2	8	no	—
517	C₂²×C₄	—	4	4	no	—
518	C₂²×C₄	—	4	4	no	—
519	C₂²×C₄	—	4	2	no	—
520	C₂²×C₄	—	4	4	no	—
521	C₂²×C₄	—	4	4	no	—
522	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
523	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
524	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
525	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
526	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
528	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
529	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
530	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
531	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
532	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
535	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
536	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
537	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
538	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
539	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
540	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
541	C₄⋊C₄	—	2	8	no	—
542	C₄⋊C₄	—	2	4	no	—
543	C₄⋊C₄	—	2	8	no	—
544	C₄⋊C₄	—	4	4	no	—
545	C₄⋊C₄	—	4	4	no	—
546	C₄⋊C₄	—	4	2	no	—
547	C₄⋊C₄	—	4	2	no	—
548	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
549	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
550	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
551	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
552	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
553	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
554	C₄⋊C₄	C₁₃×#41	1	8	yes	—
555	C₂²⋊C₄	—	2	4	no	—
556	C₂²⋊C₄	—	2	4	no	—
557	C₂²⋊C₄	—	2	8	no	—
558	C₂²⋊C₄	—	4	4	no	—
559	C₂²⋊C₄	—	4	4	no	—
560	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
561	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
562	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
563	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
564	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
565	C₄²	—	2	4	no	—
566	C₄²	—	2	8	no	—
567	C₄²	—	2	4	no	—
568	C₄²	—	4	2	no	—
569	C₄²	—	4	4	no	—
570	C₄²	—	4	2	no	—
571	C₄²	—	4	4	no	—
572	C₄²	—	4	4	no	—
573	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
574	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
575	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
576	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
577	C₄²	C₂²×C₄×C₁₃	1	8	yes	—
578	C₁₃	#34230	1	1	yes	characteristic, direct product factor, Sylow
579	C₂³	—	2	2	no	—
580	C₂³	—	2	2	no	—
581	C₂³	—	2	4	no	—
582	C₂³	—	2	2	no	—
583	C₂³	—	2	2	no	—
584	C₂³	—	2	4	no	—
585	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
586	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
587	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
588	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
589	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
590	Q₈	—	2	8	no	—
591	D₄	—	2	16	no	—
592	D₄	—	2	8	no	—
593	C₂×C₄	—	2	8	no	—
594	C₂×C₄	—	2	4	no	—
595	C₂×C₄	—	2	2	no	—
596	C₂×C₄	—	2	1	no	—
597	C₂×C₄	—	2	1	no	—
598	C₂×C₄	—	2	4	no	—
599	C₂×C₄	—	2	2	no	—
600	C₂×C₄	—	2	1	no	—
601	C₂×C₄	—	2	1	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	4	no	—
604	C₂×C₄	—	2	4	no	—
605	C₂×C₄	—	2	2	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	8	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	2	2	no	—
610	C₂×C₄	—	2	2	no	—
611	C₂×C₄	—	2	2	no	—
612	C₂×C₄	—	2	4	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	4	no	—
615	C₂×C₄	—	2	2	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	2	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	2	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	4	4	no	—
624	C₂×C₄	—	4	8	no	—
625	C₂×C₄	—	4	16	no	—
626	C₂×C₄	—	8	8	no	—
627	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
628	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
629	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
630	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
631	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
632	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
633	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
634	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
635	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
636	C₂×C₄	C₂×C₁₃×#41	1	8	yes	—
637	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
638	C₂²	—	2	2	no	—
639	C₂²	—	2	2	no	—
640	C₂²	—	2	4	no	—
641	C₂²	—	2	4	no	—
642	C₂²	—	2	4	no	—
643	C₂²	—	2	4	no	—
644	C₂²	—	2	4	no	—
645	C₂²	—	4	4	no	—
646	C₂²	—	4	4	no	—
647	C₂²	C₁₃×#520	1	4	yes	—
648	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
649	C₂²	C₂²×C₁₃×#41	1	2	yes	—
650	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
651	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
652	C₂²	C₁₃×#585	1	2	yes	—
653	C₄	—	2	2	no	—
654	C₄	—	2	4	no	—
655	C₄	—	2	2	no	—
656	C₄	—	2	2	no	—
657	C₄	—	2	4	no	—
658	C₄	—	2	2	no	—
659	C₄	—	2	4	no	—
660	C₄	—	2	2	no	—
661	C₄	—	2	8	no	—
662	C₄	—	4	2	no	—
663	C₄	—	4	4	no	—
664	C₄	—	4	2	no	—
665	C₄	—	4	2	no	—
666	C₄	—	4	2	no	—
667	C₄	C₄×C₁₃×#41	1	4	yes	—
668	C₂	—	2	4	no	—
669	C₂	—	4	4	no	—
670	C₂	C₂×C₄×C₁₃×#41	1	1	yes	characteristic
671	C₂	C₂×C₁₃×#520	1	1	yes	characteristic
672	C₂	C₁₃×#3428	1	1	yes	characteristic
673	C₂	C₁₃×#3513	1	2	yes	—
674	C₂	C₁₃×#3516	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#121	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2370	C₂	semidirect
3. C₁₃×#2367	C₂	semidirect
5. C₁₃×#2360	C₂	semidirect
6. C₁₃×#2353	C₂	semidirect
7. C₁₃×#2349	C₂	semidirect
8. C₁₃×#2347	C₂	semidirect
9. C₁₃×#2343	C₂	semidirect
10. C₁₃×#2334	C₂	semidirect
11. C₁₃×#2320	C₂	semidirect
12. C₁₃×#2319	C₂	semidirect
13. C₄×C₁₃×#123	C₂	semidirect
14. C₁₃×#2283	C₂	semidirect
15. C₁₃×#2276	C₂	semidirect
16. C₁₃×#2275	C₂	semidirect
17. C₂×C₄×C₁₃×C₄⋊C₄	C₂	semidirect
18. C₁₃×#529	C₄	semidirect
93. C₁₃×#126	C₂×C₄	semidirect
94. C₁₃×#125	C₂×C₄	semidirect
95. C₁₃×#124	C₂×C₄	semidirect
96. C₁₃×#123	C₂×C₄	semidirect
97. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
100. C₄×Q₈×C₁₃	C₂×C₄	semidirect
103. C₄×D₄×C₁₃	C₂×C₄	semidirect
104. C₄×D₄×C₁₃	C₂×C₄	semidirect
105. C₁₃×#117	C₂×C₄	semidirect
132. C₂×C₄²×C₁₃	C₂×C₄	semidirect
165. #34230	C₁₃	direct (N × H)
243. #2370	C₂×C₁₃	semidirect
244. #2367	C₂×C₁₃	semidirect
246. #2360	C₂×C₁₃	semidirect
247. #2353	C₂×C₁₃	semidirect
248. #2349	C₂×C₁₃	semidirect
249. #2347	C₂×C₁₃	semidirect
250. #2343	C₂×C₁₃	semidirect
251. #2334	C₂×C₁₃	semidirect
252. #2320	C₂×C₁₃	semidirect
253. #2319	C₂×C₁₃	semidirect
254. C₄×#123	C₂×C₁₃	semidirect
255. #2283	C₂×C₁₃	semidirect
256. #2276	C₂×C₁₃	semidirect
257. #2275	C₂×C₁₃	semidirect
258. C₂×C₄×C₄⋊C₄	C₂×C₁₃	semidirect
318. #529	C₄×C₁₃	semidirect
423. #126	C₂×C₄×C₁₃	semidirect
424. #125	C₂×C₄×C₁₃	semidirect
425. #124	C₂×C₄×C₁₃	semidirect
426. #123	C₂×C₄×C₁₃	semidirect
427. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
430. C₄×Q₈	C₂×C₄×C₁₃	semidirect
433. C₄×D₄	C₂×C₄×C₁₃	semidirect
434. C₄×D₄	C₂×C₄×C₁₃	semidirect
435. #117	C₂×C₄×C₁₃	semidirect
462. C₂×C₄²	C₂×C₄×C₁₃	semidirect
578. C₁₃	#34230	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×#529	2
C₁₃×#2370	2
C₁₃×#2367	2
C₁₃×#2361	2
C₁₃×#2360	2
C₁₃×#2353	2
C₁₃×#2349	2
C₁₃×#2347	2
C₁₃×#2343	2
C₁₃×#2334	2
C₁₃×#2320	2
C₁₃×#2319	2
C₄×C₁₃×#123	2
C₁₃×#2283	2
C₁₃×#2276	2
C₁₃×#2275	2
C₂×C₄×C₁₃×C₄⋊C₄	2
#34230	13

Subgroups — C13×#34230 #15720569

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34230 #15720569