Subgroups — C₁₃×#24164 #15710503

Order 3328.

1150 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#460	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2323	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2034	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2033	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2000	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2000	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1989	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1982	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1877	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1877	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1864	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1862	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1798	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
18	C₁₃×#540	—	2	4	no	—
19	C₁₃×#540	—	2	4	no	—
20	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#123	—	2	1	no	—
23	C₂×C₁₃×#123	—	2	1	no	—
24	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#121	—	2	1	no	—
26	C₂×C₁₃×#121	—	2	1	no	—
27	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
29	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
33	C₁₃×#479	—	2	4	no	—
34	C₁₃×#460	—	2	4	no	—
35	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
49	C₁₃×#391	C₂²	1	1	yes	characteristic
50	C₁₃×#389	—	2	1	no	—
51	C₁₃×#389	C₂²	1	1	yes	characteristic
52	C₁₃×#388	—	2	1	no	—
53	C₁₃×#388	—	2	1	no	—
54	C₁₃×#387	—	2	1	no	—
55	C₁₃×#380	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₁₃×#340	C₂²	1	1	yes	characteristic
58	C₁₃×#340	C₂²	1	1	yes	characteristic
59	C₁₃×#340	C₂²	1	1	yes	characteristic
60	C₁₃×#340	C₂²	1	1	yes	characteristic
61	C₁₃×#336	C₂²	1	1	yes	characteristic
62	C₁₃×#336	C₂²	1	1	yes	characteristic
63	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
64	C₂²×D₄×C₁₃	—	2	1	no	—
65	C₂²×D₄×C₁₃	—	2	1	no	—
66	C₂²×D₄×C₁₃	—	2	1	no	—
67	C₂²×D₄×C₁₃	—	2	1	no	—
68	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
69	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
70	C₂³×C₄×C₁₃	—	2	1	no	—
71	C₂³×C₄×C₁₃	—	2	1	no	—
72	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
73	C₂×C₁₃×SD₁₆	—	2	2	no	—
74	C₂×C₁₃×SD₁₆	—	2	2	no	—
75	C₂×C₁₃×SD₁₆	—	2	2	no	—
76	C₂×C₁₃×SD₁₆	—	2	2	no	—
77	C₂×C₁₃×SD₁₆	—	4	1	no	—
78	C₂×C₁₃×SD₁₆	—	4	1	no	—
79	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
80	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	C₁₃×#127	—	2	2	no	—
84	C₁₃×#127	D₄	1	4	yes	—
85	C₁₃×#125	—	2	2	no	—
86	C₁₃×#125	D₄	1	4	yes	—
87	C₁₃×#123	—	2	8	no	—
88	C₁₃×#123	—	2	8	no	—
89	C₁₃×C₂²⋊Q₈	—	2	2	no	—
90	C₁₃×C₂²⋊Q₈	—	2	2	no	—
91	C₁₃×#121	—	2	8	no	—
92	C₁₃×#121	—	2	8	no	—
93	C₁₃×#121	—	2	2	no	—
94	C₁₃×#121	—	2	2	no	—
95	C₁₃×#121	—	2	2	no	—
96	C₁₃×#121	—	2	2	no	—
97	C₄×Q₈×C₁₃	—	2	2	no	—
98	C₄×Q₈×C₁₃	—	2	2	no	—
99	C₄×D₄×C₁₃	—	2	2	no	—
100	C₄×D₄×C₁₃	—	2	2	no	—
101	C₄×D₄×C₁₃	—	2	2	no	—
102	C₄×D₄×C₁₃	—	2	2	no	—
103	C₁₃×#117	—	2	2	no	—
104	C₁₃×#117	—	2	2	no	—
105	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
106	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
107	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
108	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
109	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
110	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
111	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
112	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
113	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
114	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
115	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
116	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
117	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
118	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
119	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
120	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
121	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
122	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
123	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
124	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
125	C₂×C₄²×C₁₃	—	2	1	no	—
126	C₂×C₄²×C₁₃	—	2	1	no	—
127	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
128	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
129	C₁₃×#107	—	2	2	no	—
130	C₁₃×#106	—	2	2	no	—
131	C₁₃×C₄⋊C₈	—	2	2	no	—
132	C₁₃×C₄⋊C₈	—	2	2	no	—
133	C₁₃×#103	—	2	2	no	—
134	C₁₃×#103	—	2	2	no	—
135	C₁₃×#102	—	2	2	no	—
136	C₁₃×#102	—	2	2	no	—
137	C₁₃×#102	—	2	2	no	—
138	C₁₃×#102	—	2	2	no	—
139	C₁₃×#102	—	4	1	no	—
140	C₁₃×#102	—	4	1	no	—
141	C₁₃×C₂²⋊C₈	—	4	1	no	—
142	C₁₃×C₂²⋊C₈	—	4	1	no	—
143	C₁₃×#95	—	2	1	no	—
144	C₁₃×#95	—	2	1	no	—
145	C₁₃×#95	—	2	1	no	—
146	C₁₃×#95	—	2	1	no	—
147	C₁₃×#95	—	2	1	no	—
148	#24164	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
149	C₂⁴×C₁₃	—	2	1	no	—
150	C₂⁴×C₁₃	—	2	1	no	—
151	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
152	C₂×Q₈×C₁₃	—	2	1	no	—
153	C₂×Q₈×C₁₃	—	2	1	no	—
154	C₂×Q₈×C₁₃	—	2	1	no	—
155	C₂×Q₈×C₁₃	—	2	1	no	—
156	C₂×Q₈×C₁₃	—	2	1	no	—
157	C₂×Q₈×C₁₃	#41	1	2	yes	—
158	C₂×D₄×C₁₃	—	2	4	no	—
159	C₂×D₄×C₁₃	—	2	4	no	—
160	C₂×D₄×C₁₃	—	2	4	no	—
161	C₂×D₄×C₁₃	—	2	4	no	—
162	C₂×D₄×C₁₃	—	2	1	no	—
163	C₂×D₄×C₁₃	—	2	1	no	—
164	C₂×D₄×C₁₃	—	2	1	no	—
165	C₂×D₄×C₁₃	—	2	1	no	—
166	C₂×D₄×C₁₃	—	2	1	no	—
167	C₂×D₄×C₁₃	—	2	1	no	—
168	C₂×D₄×C₁₃	—	2	1	no	—
169	C₂×D₄×C₁₃	—	2	1	no	—
170	C₂×D₄×C₁₃	—	2	1	no	—
171	C₂×D₄×C₁₃	—	2	1	no	—
172	C₂×D₄×C₁₃	—	8	1	no	—
173	C₂×D₄×C₁₃	—	8	1	no	—
174	C₂×D₄×C₁₃	—	8	1	no	—
175	C₂×D₄×C₁₃	—	8	1	no	—
176	C₂×D₄×C₁₃	—	8	1	no	—
177	C₂×D₄×C₁₃	—	8	1	no	—
178	C₂×D₄×C₁₃	—	8	1	no	—
179	C₂×D₄×C₁₃	—	8	1	no	—
180	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
181	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
182	C₂²×C₄×C₁₃	—	2	1	no	—
183	C₂²×C₄×C₁₃	—	2	1	no	—
184	C₂²×C₄×C₁₃	—	2	1	no	—
185	C₂²×C₄×C₁₃	—	2	1	no	—
186	C₂²×C₄×C₁₃	—	2	4	no	—
187	C₂²×C₄×C₁₃	—	2	4	no	—
188	C₂²×C₄×C₁₃	—	2	1	no	—
189	C₂²×C₄×C₁₃	—	2	1	no	—
190	C₂²×C₄×C₁₃	—	2	1	no	—
191	C₂²×C₄×C₁₃	—	2	1	no	—
192	C₂²×C₄×C₁₃	—	2	1	no	—
193	C₂²×C₄×C₁₃	—	2	1	no	—
194	C₂²×C₄×C₁₃	—	2	1	no	—
195	C₂²×C₄×C₁₃	—	2	1	no	—
196	C₂²×C₄×C₁₃	—	8	1	no	—
197	C₂²×C₄×C₁₃	—	8	1	no	—
198	C₂²×C₄×C₁₃	—	8	1	no	—
199	C₂²×C₄×C₁₃	—	8	1	no	—
200	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
201	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
202	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
204	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
205	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
206	C₁₃×SD₁₆	—	4	4	no	—
207	C₁₃×SD₁₆	—	4	4	no	—
208	C₂×C₈×C₁₃	—	2	1	no	—
209	C₂×C₈×C₁₃	—	2	1	no	—
210	C₂×C₈×C₁₃	—	2	1	no	—
211	C₂×C₈×C₁₃	—	2	1	no	—
212	C₂×C₈×C₁₃	—	2	1	no	—
213	C₂×C₈×C₁₃	—	2	1	no	—
214	C₂×C₈×C₁₃	—	2	1	no	—
215	C₂×C₈×C₁₃	—	2	1	no	—
216	C₂×C₈×C₁₃	—	2	1	no	—
217	C₂×C₈×C₁₃	—	2	1	no	—
218	C₂×C₈×C₁₃	—	2	1	no	—
219	C₂×C₈×C₁₃	—	2	1	no	—
220	C₁₃×C₄⋊C₄	—	2	4	no	—
221	C₁₃×C₄⋊C₄	—	2	4	no	—
222	C₁₃×C₄⋊C₄	—	2	4	no	—
223	C₁₃×C₄⋊C₄	—	2	2	no	—
224	C₁₃×C₄⋊C₄	—	2	2	no	—
225	C₁₃×C₄⋊C₄	—	2	1	no	—
226	C₁₃×C₄⋊C₄	—	2	1	no	—
227	C₁₃×C₄⋊C₄	—	2	1	no	—
228	C₁₃×C₄⋊C₄	—	2	1	no	—
229	C₁₃×C₄⋊C₄	—	2	1	no	—
230	C₁₃×C₄⋊C₄	—	2	1	no	—
231	C₁₃×C₄⋊C₄	—	2	1	no	—
232	C₁₃×C₄⋊C₄	—	4	2	no	—
233	C₁₃×C₄⋊C₄	—	8	1	no	—
234	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
235	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
236	C₁₃×C₄⋊C₄	#41	1	2	yes	—
237	C₁₃×C₂²⋊C₄	—	2	4	no	—
238	C₁₃×C₂²⋊C₄	—	2	4	no	—
239	C₁₃×C₂²⋊C₄	—	2	4	no	—
240	C₁₃×C₂²⋊C₄	—	2	4	no	—
241	C₁₃×C₂²⋊C₄	—	2	4	no	—
242	C₁₃×C₂²⋊C₄	—	2	2	no	—
243	C₁₃×C₂²⋊C₄	—	2	2	no	—
244	C₁₃×C₂²⋊C₄	—	8	1	no	—
245	C₄²×C₁₃	—	2	1	no	—
246	C₄²×C₁₃	—	2	1	no	—
247	C₄²×C₁₃	—	4	2	no	—
248	C₄²×C₁₃	—	8	1	no	—
249	C₄²×C₁₃	C₂×D₄	1	2	yes	—
250	C₄²×C₁₃	C₂×D₄	1	2	yes	—
251	C₂×#540	C₂×C₁₃	1	1	yes	characteristic
252	C₂×#479	C₂×C₁₃	1	1	yes	characteristic, complemented
253	C₂×#460	C₂×C₁₃	1	1	yes	characteristic, complemented
254	#2323	C₂×C₁₃	1	1	yes	characteristic, complemented
255	#2034	C₂×C₁₃	1	1	yes	characteristic, complemented
256	#2033	C₂×C₁₃	1	1	yes	characteristic, complemented
257	#2000	C₂×C₁₃	1	1	yes	characteristic, complemented
258	#2000	C₂×C₁₃	1	1	yes	characteristic, complemented
259	#1989	C₂×C₁₃	1	1	yes	characteristic, complemented
260	#1982	C₂×C₁₃	1	1	yes	characteristic, complemented
261	#1877	C₂×C₁₃	1	1	yes	characteristic, complemented
262	#1877	C₂×C₁₃	1	1	yes	characteristic, complemented
263	#1864	C₂×C₁₃	1	1	yes	characteristic, complemented
264	#1862	C₂×C₁₃	1	1	yes	characteristic, complemented
265	#1798	C₂×C₁₃	1	1	yes	characteristic, complemented
266	C₂³×C₁₃	—	2	1	no	—
267	C₂³×C₁₃	—	2	2	no	—
268	C₂³×C₁₃	—	2	2	no	—
269	C₂³×C₁₃	—	2	1	no	—
270	C₂³×C₁₃	—	2	1	no	—
271	C₂³×C₁₃	—	2	1	no	—
272	C₂³×C₁₃	—	2	1	no	—
273	C₂³×C₁₃	—	2	1	no	—
274	C₂³×C₁₃	—	2	1	no	—
275	C₂³×C₁₃	—	4	1	no	—
276	C₂³×C₁₃	—	4	1	no	—
277	C₂³×C₁₃	—	4	1	no	—
278	C₂³×C₁₃	—	4	1	no	—
279	C₂³×C₁₃	—	4	1	no	—
280	C₂³×C₁₃	—	4	1	no	—
281	C₂³×C₁₃	—	4	1	no	—
282	C₂³×C₁₃	—	4	1	no	—
283	C₂³×C₁₃	—	4	1	no	—
284	C₂³×C₁₃	—	4	1	no	—
285	C₂³×C₁₃	—	4	1	no	—
286	C₂³×C₁₃	—	4	1	no	—
287	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
288	Q₈×C₁₃	—	2	2	no	—
289	Q₈×C₁₃	—	2	2	no	—
290	Q₈×C₁₃	—	4	1	no	—
291	Q₈×C₁₃	—	4	1	no	—
292	D₄×C₁₃	—	2	2	no	—
293	D₄×C₁₃	—	2	2	no	—
294	D₄×C₁₃	—	2	2	no	—
295	D₄×C₁₃	—	2	2	no	—
296	D₄×C₁₃	—	4	1	no	—
297	D₄×C₁₃	—	4	1	no	—
298	D₄×C₁₃	—	4	1	no	—
299	D₄×C₁₃	—	4	1	no	—
300	D₄×C₁₃	—	8	4	no	—
301	D₄×C₁₃	—	8	4	no	—
302	D₄×C₁₃	—	8	4	no	—
303	D₄×C₁₃	—	8	4	no	—
304	C₂×C₄×C₁₃	—	2	1	no	—
305	C₂×C₄×C₁₃	—	2	1	no	—
306	C₂×C₄×C₁₃	—	2	1	no	—
307	C₂×C₄×C₁₃	—	2	1	no	—
308	C₂×C₄×C₁₃	—	2	1	no	—
309	C₂×C₄×C₁₃	—	2	1	no	—
310	C₂×C₄×C₁₃	—	2	1	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	1	no	—
316	C₂×C₄×C₁₃	—	2	1	no	—
317	C₂×C₄×C₁₃	—	2	1	no	—
318	C₂×C₄×C₁₃	—	2	1	no	—
319	C₂×C₄×C₁₃	—	2	1	no	—
320	C₂×C₄×C₁₃	—	2	1	no	—
321	C₂×C₄×C₁₃	—	4	1	no	—
322	C₂×C₄×C₁₃	—	4	1	no	—
323	C₂×C₄×C₁₃	—	4	1	no	—
324	C₂×C₄×C₁₃	—	4	1	no	—
325	C₂×C₄×C₁₃	—	4	1	no	—
326	C₂×C₄×C₁₃	—	4	1	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	1	no	—
329	C₂×C₄×C₁₃	—	4	1	no	—
330	C₂×C₄×C₁₃	—	4	1	no	—
331	C₂×C₄×C₁₃	—	4	1	no	—
332	C₂×C₄×C₁₃	—	4	1	no	—
333	C₂×C₄×C₁₃	—	4	1	no	—
334	C₂×C₄×C₁₃	—	4	1	no	—
335	C₂×C₄×C₁₃	—	4	1	no	—
336	C₂×C₄×C₁₃	—	4	1	no	—
337	C₂×C₄×C₁₃	—	4	1	no	—
338	C₂×C₄×C₁₃	—	4	1	no	—
339	C₂×C₄×C₁₃	—	8	4	no	—
340	C₂×C₄×C₁₃	—	8	4	no	—
341	C₂×C₄×C₁₃	#120	1	2	yes	—
342	C₂×C₄×C₁₃	#120	1	2	yes	—
343	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
345	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
346	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
347	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
348	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
349	C₈×C₁₃	—	4	1	no	—
350	C₈×C₁₃	—	4	1	no	—
351	C₈×C₁₃	—	4	1	no	—
352	C₈×C₁₃	—	4	1	no	—
353	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
354	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
355	#540	—	2	4	no	—
356	#540	—	2	4	no	—
357	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
358	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×#123	—	2	1	no	—
360	C₂×#123	—	2	1	no	—
361	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×#121	—	2	1	no	—
363	C₂×#121	—	2	1	no	—
364	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
365	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
366	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
367	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
368	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
369	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
370	#479	—	2	4	no	—
371	#460	—	2	4	no	—
372	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
373	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
374	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
375	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
376	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
377	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
378	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
379	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
380	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
381	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
382	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
383	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
385	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
386	#391	C₂²×C₁₃	1	1	yes	characteristic
387	#389	—	2	1	no	—
388	#389	C₂²×C₁₃	1	1	yes	characteristic
389	#388	—	2	1	no	—
390	#388	—	2	1	no	—
391	#387	—	2	1	no	—
392	#380	C₂²×C₁₃	1	1	yes	characteristic
393	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
394	#340	C₂²×C₁₃	1	1	yes	characteristic
395	#340	C₂²×C₁₃	1	1	yes	characteristic
396	#340	C₂²×C₁₃	1	1	yes	characteristic
397	#340	C₂²×C₁₃	1	1	yes	characteristic
398	#336	C₂²×C₁₃	1	1	yes	characteristic
399	#336	C₂²×C₁₃	1	1	yes	characteristic
400	C₂²×C₁₃	—	4	1	no	—
401	C₂²×C₁₃	—	4	1	no	—
402	C₂²×C₁₃	—	4	1	no	—
403	C₂²×C₁₃	—	4	2	no	—
404	C₂²×C₁₃	—	4	2	no	—
405	C₂²×C₁₃	—	4	1	no	—
406	C₂²×C₁₃	—	4	1	no	—
407	C₂²×C₁₃	—	4	2	no	—
408	C₂²×C₁₃	—	4	1	no	—
409	C₂²×C₁₃	—	4	2	no	—
410	C₂²×C₁₃	—	4	2	no	—
411	C₂²×C₁₃	—	4	1	no	—
412	C₂²×C₁₃	—	4	2	no	—
413	C₂²×C₁₃	—	8	1	no	—
414	C₂²×C₁₃	—	8	1	no	—
415	C₂²×C₁₃	—	8	1	no	—
416	C₂²×C₁₃	—	8	1	no	—
417	C₂²×C₁₃	—	8	1	no	—
418	C₂²×C₁₃	—	8	1	no	—
419	C₂²×C₁₃	—	8	1	no	—
420	C₂²×C₁₃	—	8	1	no	—
421	C₂²×C₁₃	C₂×#120	1	1	yes	characteristic
422	C₂²×C₁₃	#525	1	1	yes	characteristic
423	C₂²×C₁₃	#537	1	1	yes	characteristic
424	C₂²×C₁₃	#576	1	1	yes	characteristic
425	C₂²×C₁₃	#577	1	1	yes	characteristic
426	C₂²×C₁₃	#577	1	1	yes	characteristic
427	C₂²×C₁₃	#577	1	1	yes	characteristic
428	C₄×C₁₃	—	2	2	no	—
429	C₄×C₁₃	—	2	2	no	—
430	C₄×C₁₃	—	4	2	no	—
431	C₄×C₁₃	—	4	1	no	—
432	C₄×C₁₃	—	4	2	no	—
433	C₄×C₁₃	—	4	1	no	—
434	C₄×C₁₃	—	4	2	no	—
435	C₄×C₁₃	—	4	1	no	—
436	C₄×C₁₃	—	4	2	no	—
437	C₄×C₁₃	—	8	1	no	—
438	C₄×C₁₃	—	8	1	no	—
439	C₄×C₁₃	#546	1	1	yes	characteristic
440	C₄×C₁₃	#547	1	1	yes	characteristic
441	C₄×C₁₃	#548	1	1	yes	characteristic
442	C₄×C₁₃	#550	1	1	yes	characteristic
443	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
444	C₂²×D₄	—	2	1	no	—
445	C₂²×D₄	—	2	1	no	—
446	C₂²×D₄	—	2	1	no	—
447	C₂²×D₄	—	2	1	no	—
448	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
449	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
450	C₂³×C₄	—	2	1	no	—
451	C₂³×C₄	—	2	1	no	—
452	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
453	C₂×SD₁₆	—	2	2	no	—
454	C₂×SD₁₆	—	2	2	no	—
455	C₂×SD₁₆	—	2	2	no	—
456	C₂×SD₁₆	—	2	2	no	—
457	C₂×SD₁₆	—	4	1	no	—
458	C₂×SD₁₆	—	4	1	no	—
459	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
460	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
461	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
462	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
463	#127	—	2	2	no	—
464	#127	D₄×C₁₃	1	4	yes	—
465	#125	—	2	2	no	—
466	#125	D₄×C₁₃	1	4	yes	—
467	#123	—	2	8	no	—
468	#123	—	2	8	no	—
469	C₂²⋊Q₈	—	2	2	no	—
470	C₂²⋊Q₈	—	2	2	no	—
471	#121	—	2	8	no	—
472	#121	—	2	8	no	—
473	#121	—	2	2	no	—
474	#121	—	2	2	no	—
475	#121	—	2	2	no	—
476	#121	—	2	2	no	—
477	C₄×Q₈	—	2	2	no	—
478	C₄×Q₈	—	2	2	no	—
479	C₄×D₄	—	2	2	no	—
480	C₄×D₄	—	2	2	no	—
481	C₄×D₄	—	2	2	no	—
482	C₄×D₄	—	2	2	no	—
483	#117	—	2	2	no	—
484	#117	—	2	2	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	—	2	1	no	—
487	C₂×C₄⋊C₄	—	2	1	no	—
488	C₂×C₄⋊C₄	—	2	1	no	—
489	C₂×C₄⋊C₄	—	2	1	no	—
490	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
491	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
492	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
493	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
494	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
495	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
496	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	—	2	1	no	—
499	C₂×C₂²⋊C₄	—	2	1	no	—
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	—	2	1	no	—
502	C₂×C₂²⋊C₄	—	2	1	no	—
503	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
504	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
505	C₂×C₄²	—	2	1	no	—
506	C₂×C₄²	—	2	1	no	—
507	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
508	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
509	#107	—	2	2	no	—
510	#106	—	2	2	no	—
511	C₄⋊C₈	—	2	2	no	—
512	C₄⋊C₈	—	2	2	no	—
513	#103	—	2	2	no	—
514	#103	—	2	2	no	—
515	#102	—	2	2	no	—
516	#102	—	2	2	no	—
517	#102	—	2	2	no	—
518	#102	—	2	2	no	—
519	#102	—	4	1	no	—
520	#102	—	4	1	no	—
521	C₂²⋊C₈	—	4	1	no	—
522	C₂²⋊C₈	—	4	1	no	—
523	#95	—	2	1	no	—
524	#95	—	2	1	no	—
525	#95	—	2	1	no	—
526	#95	—	2	1	no	—
527	#95	—	2	1	no	—
528	C₂×C₁₃	—	8	1	no	—
529	C₂×C₁₃	—	8	2	no	—
530	C₂×C₁₃	—	8	2	no	—
531	C₂×C₁₃	#2407	1	1	yes	characteristic
532	C₂×C₁₃	#3009	1	1	yes	characteristic
533	C₂×C₁₃	#3012	1	1	yes	characteristic
534	C₂×C₁₃	#3119	1	1	yes	characteristic
535	C₂×C₁₃	#3126	1	1	yes	characteristic
536	C₂×C₁₃	#3257	1	1	yes	characteristic
537	C₂×C₁₃	#3260	1	1	yes	characteristic
538	C₂⁴	—	2	1	no	—
539	C₂⁴	—	2	1	no	—
540	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
541	C₂×Q₈	—	2	1	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	2	1	no	—
544	C₂×Q₈	—	2	1	no	—
545	C₂×Q₈	—	2	1	no	—
546	C₂×Q₈	C₁₃×#41	1	2	yes	—
547	C₂×D₄	—	2	4	no	—
548	C₂×D₄	—	2	4	no	—
549	C₂×D₄	—	2	4	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	1	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	1	no	—
557	C₂×D₄	—	2	1	no	—
558	C₂×D₄	—	2	1	no	—
559	C₂×D₄	—	2	1	no	—
560	C₂×D₄	—	2	1	no	—
561	C₂×D₄	—	8	1	no	—
562	C₂×D₄	—	8	1	no	—
563	C₂×D₄	—	8	1	no	—
564	C₂×D₄	—	8	1	no	—
565	C₂×D₄	—	8	1	no	—
566	C₂×D₄	—	8	1	no	—
567	C₂×D₄	—	8	1	no	—
568	C₂×D₄	—	8	1	no	—
569	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
570	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	1	no	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	2	4	no	—
576	C₂²×C₄	—	2	4	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	1	no	—
579	C₂²×C₄	—	2	1	no	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	8	1	no	—
586	C₂²×C₄	—	8	1	no	—
587	C₂²×C₄	—	8	1	no	—
588	C₂²×C₄	—	8	1	no	—
589	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
590	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
591	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
592	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
593	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
594	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
595	SD₁₆	—	4	4	no	—
596	SD₁₆	—	4	4	no	—
597	C₂×C₈	—	2	1	no	—
598	C₂×C₈	—	2	1	no	—
599	C₂×C₈	—	2	1	no	—
600	C₂×C₈	—	2	1	no	—
601	C₂×C₈	—	2	1	no	—
602	C₂×C₈	—	2	1	no	—
603	C₂×C₈	—	2	1	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	—	2	1	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	2	1	no	—
609	C₄⋊C₄	—	2	4	no	—
610	C₄⋊C₄	—	2	4	no	—
611	C₄⋊C₄	—	2	4	no	—
612	C₄⋊C₄	—	2	2	no	—
613	C₄⋊C₄	—	2	2	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	2	1	no	—
618	C₄⋊C₄	—	2	1	no	—
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	4	2	no	—
622	C₄⋊C₄	—	8	1	no	—
623	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
624	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
625	C₄⋊C₄	C₁₃×#41	1	2	yes	—
626	C₂²⋊C₄	—	2	4	no	—
627	C₂²⋊C₄	—	2	4	no	—
628	C₂²⋊C₄	—	2	4	no	—
629	C₂²⋊C₄	—	2	4	no	—
630	C₂²⋊C₄	—	2	4	no	—
631	C₂²⋊C₄	—	2	2	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	8	1	no	—
634	C₄²	—	2	1	no	—
635	C₄²	—	2	1	no	—
636	C₄²	—	4	2	no	—
637	C₄²	—	8	1	no	—
638	C₄²	C₂×D₄×C₁₃	1	2	yes	—
639	C₄²	C₂×D₄×C₁₃	1	2	yes	—
640	C₁₃	#24164	1	1	yes	characteristic, direct product factor, Sylow
641	C₂³	—	2	1	no	—
642	C₂³	—	2	2	no	—
643	C₂³	—	2	2	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	4	1	no	—
651	C₂³	—	4	1	no	—
652	C₂³	—	4	1	no	—
653	C₂³	—	4	1	no	—
654	C₂³	—	4	1	no	—
655	C₂³	—	4	1	no	—
656	C₂³	—	4	1	no	—
657	C₂³	—	4	1	no	—
658	C₂³	—	4	1	no	—
659	C₂³	—	4	1	no	—
660	C₂³	—	4	1	no	—
661	C₂³	—	4	1	no	—
662	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
663	Q₈	—	2	2	no	—
664	Q₈	—	2	2	no	—
665	Q₈	—	4	1	no	—
666	Q₈	—	4	1	no	—
667	D₄	—	2	2	no	—
668	D₄	—	2	2	no	—
669	D₄	—	2	2	no	—
670	D₄	—	2	2	no	—
671	D₄	—	4	1	no	—
672	D₄	—	4	1	no	—
673	D₄	—	4	1	no	—
674	D₄	—	4	1	no	—
675	D₄	—	8	4	no	—
676	D₄	—	8	4	no	—
677	D₄	—	8	4	no	—
678	D₄	—	8	4	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	2	no	—
688	C₂×C₄	—	2	2	no	—
689	C₂×C₄	—	2	2	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	4	1	no	—
711	C₂×C₄	—	4	1	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	8	4	no	—
715	C₂×C₄	—	8	4	no	—
716	C₂×C₄	C₁₃×#120	1	2	yes	—
717	C₂×C₄	C₁₃×#120	1	2	yes	—
718	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
719	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
720	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
721	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
722	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
723	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
724	C₈	—	4	1	no	—
725	C₈	—	4	1	no	—
726	C₈	—	4	1	no	—
727	C₈	—	4	1	no	—
728	C₂²	—	4	2	no	—
729	C₂²	—	4	1	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	2	no	—
732	C₂²	—	4	1	no	—
733	C₂²	—	4	2	no	—
734	C₂²	—	4	1	no	—
735	C₂²	—	4	1	no	—
736	C₂²	—	4	1	no	—
737	C₂²	—	4	2	no	—
738	C₂²	—	4	2	no	—
739	C₂²	—	4	1	no	—
740	C₂²	—	4	1	no	—
741	C₂²	—	8	1	no	—
742	C₂²	—	8	1	no	—
743	C₂²	—	8	1	no	—
744	C₂²	—	8	1	no	—
745	C₂²	—	8	1	no	—
746	C₂²	—	8	1	no	—
747	C₂²	—	8	1	no	—
748	C₂²	—	8	1	no	—
749	C₂²	C₂×C₁₃×#120	1	1	yes	characteristic
750	C₂²	C₁₃×#525	1	1	yes	characteristic
751	C₂²	C₁₃×#537	1	1	yes	characteristic
752	C₂²	C₁₃×#576	1	1	yes	characteristic
753	C₂²	C₁₃×#577	1	1	yes	characteristic
754	C₂²	C₁₃×#577	1	1	yes	characteristic
755	C₂²	C₁₃×#577	1	1	yes	characteristic
756	C₄	—	2	2	no	—
757	C₄	—	2	2	no	—
758	C₄	—	4	1	no	—
759	C₄	—	4	2	no	—
760	C₄	—	4	1	no	—
761	C₄	—	4	2	no	—
762	C₄	—	4	2	no	—
763	C₄	—	4	1	no	—
764	C₄	—	4	2	no	—
765	C₄	—	8	1	no	—
766	C₄	—	8	1	no	—
767	C₄	C₁₃×#546	1	1	yes	characteristic
768	C₄	C₁₃×#547	1	1	yes	characteristic
769	C₄	C₁₃×#548	1	1	yes	characteristic
770	C₄	C₁₃×#550	1	1	yes	characteristic
771	C₂	—	8	1	no	—
772	C₂	—	8	2	no	—
773	C₂	—	8	2	no	—
774	C₂	C₁₃×#2407	1	1	yes	characteristic
775	C₂	C₁₃×#3009	1	1	yes	characteristic
776	C₂	C₁₃×#3012	1	1	yes	characteristic
777	C₂	C₁₃×#3119	1	1	yes	characteristic
778	C₂	C₁₃×#3126	1	1	yes	characteristic
779	C₂	C₁₃×#3257	1	1	yes	characteristic
780	C₂	C₁₃×#3260	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂×C₁₃×#540	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₃×#479	C₂	semidirect
3. C₂×C₁₃×#460	C₂	semidirect
4. C₁₃×#2323	C₂	semidirect
5. C₁₃×#2034	C₂	semidirect
6. C₁₃×#2033	C₂	semidirect
7. C₁₃×#2000	C₂	semidirect
8. C₁₃×#2000	C₂	semidirect
9. C₁₃×#1989	C₂	semidirect
10. C₁₃×#1982	C₂	semidirect
11. C₁₃×#1877	C₂	semidirect
12. C₁₃×#1877	C₂	semidirect
13. C₁₃×#1864	C₂	semidirect
14. C₁₃×#1862	C₂	semidirect
15. C₁₃×#1798	C₂	semidirect
148. #24164	C₁₃	direct (N × H)
252. C₂×#479	C₂×C₁₃	semidirect
253. C₂×#460	C₂×C₁₃	semidirect
254. #2323	C₂×C₁₃	semidirect
255. #2034	C₂×C₁₃	semidirect
256. #2033	C₂×C₁₃	semidirect
257. #2000	C₂×C₁₃	semidirect
258. #2000	C₂×C₁₃	semidirect
259. #1989	C₂×C₁₃	semidirect
260. #1982	C₂×C₁₃	semidirect
261. #1877	C₂×C₁₃	semidirect
262. #1877	C₂×C₁₃	semidirect
263. #1864	C₂×C₁₃	semidirect
264. #1862	C₂×C₁₃	semidirect
265. #1798	C₂×C₁₃	semidirect
640. C₁₃	#24164	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×#540	2
C₂×C₁₃×#479	2
C₂×C₁₃×#460	2
C₁₃×#2323	2
C₁₃×#2034	2
C₁₃×#2033	2
C₁₃×#2000	2
C₁₃×#1989	2
C₁₃×#1982	2
C₁₃×#1877	2
C₁₃×#1864	2
C₁₃×#1862	2
C₁₃×#1798	2
#24164	13

Subgroups — C13×#24164 #15710503

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#24164 #15710503