Subgroups — C₁₃×#24138 #15710477

Order 3328.

1154 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#440	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2538	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×#1992	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1955	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1873	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1872	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1854	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1852	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1802	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
17	C₁₃×#553	—	2	4	no	—
18	C₁₃×#553	—	2	4	no	—
19	C₂×C₁₃×#126	—	2	1	no	—
20	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#123	—	2	1	no	—
22	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×#121	—	2	1	no	—
25	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
28	C₂×C₄×D₄×C₁₃	—	2	1	no	—
29	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
32	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
33	C₁₃×#479	—	2	4	no	—
34	C₁₃×#440	—	2	4	no	—
35	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#106	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×#103	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×C₂²⋊C₈	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×C₂²⋊C₈	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	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
50	C₁₃×#396	—	2	1	no	—
51	C₁₃×#396	—	2	1	no	—
52	C₁₃×#390	—	2	1	no	—
53	C₁₃×#389	—	2	1	no	—
54	C₁₃×#384	C₂²	1	1	yes	characteristic
55	C₁₃×#380	C₂²	1	1	yes	characteristic
56	C₁₃×#380	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×#340	C₂²	1	1	yes	characteristic
62	C₁₃×#340	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	D₄	1	1	yes	characteristic
67	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
68	C₂³×C₄×C₁₃	—	2	1	no	—
69	C₂³×C₄×C₁₃	—	2	1	no	—
70	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
71	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
72	C₂×C₁₃×SD₁₆	—	2	2	no	—
73	C₂×C₁₃×SD₁₆	—	2	2	no	—
74	C₂×C₁₃×SD₁₆	—	2	2	no	—
75	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
76	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
77	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
78	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
79	C₁₃×#126	—	2	8	no	—
80	C₁₃×#125	—	2	2	no	—
81	C₁₃×#125	D₄	1	4	yes	—
82	C₁₃×#123	—	2	8	no	—
83	C₁₃×C₂²⋊Q₈	—	2	2	no	—
84	C₁₃×C₂²⋊Q₈	—	2	2	no	—
85	C₁₃×C₂²⋊Q₈	—	4	1	no	—
86	C₁₃×C₂²⋊Q₈	—	4	1	no	—
87	C₁₃×#121	—	2	8	no	—
88	C₁₃×#121	—	2	2	no	—
89	C₁₃×#121	—	2	2	no	—
90	C₁₃×#121	—	2	2	no	—
91	C₁₃×#121	—	2	2	no	—
92	C₄×Q₈×C₁₃	—	2	2	no	—
93	C₄×Q₈×C₁₃	—	2	2	no	—
94	C₄×D₄×C₁₃	—	2	8	no	—
95	C₄×D₄×C₁₃	—	2	2	no	—
96	C₄×D₄×C₁₃	—	2	2	no	—
97	C₄×D₄×C₁₃	—	2	2	no	—
98	C₄×D₄×C₁₃	D₄	1	4	yes	—
99	C₁₃×#117	—	2	2	no	—
100	C₁₃×#117	—	2	2	no	—
101	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
102	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
103	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
104	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₂×C₁₃×C₄⋊C₄	—	2	2	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	—	2	1	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
124	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
125	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
126	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
127	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
128	C₂×C₄²×C₁₃	—	2	1	no	—
129	C₂×C₄²×C₁₃	—	2	1	no	—
130	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
131	C₁₃×#107	—	2	2	no	—
132	C₁₃×#107	—	2	2	no	—
133	C₁₃×#106	—	2	2	no	—
134	C₁₃×C₄⋊C₈	—	2	2	no	—
135	C₁₃×#103	—	2	2	no	—
136	C₁₃×#103	—	2	2	no	—
137	C₁₃×#103	—	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	—	2	2	no	—
142	C₁₃×C₂²⋊C₈	—	2	2	no	—
143	C₁₃×C₂²⋊C₈	—	4	1	no	—
144	C₁₃×C₂²⋊C₈	—	4	1	no	—
145	C₁₃×#97	—	2	2	no	—
146	C₁₃×#95	—	2	1	no	—
147	C₁₃×#95	—	2	1	no	—
148	#24138	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
149	C₂⁴×C₁₃	—	2	1	no	—
150	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
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	2	no	—
160	C₂×D₄×C₁₃	—	2	4	no	—
161	C₂×D₄×C₁₃	—	2	2	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	—	4	1	no	—
168	C₂×D₄×C₁₃	—	4	2	no	—
169	C₂×D₄×C₁₃	—	4	2	no	—
170	C₂×D₄×C₁₃	—	8	1	no	—
171	C₂×D₄×C₁₃	—	8	1	no	—
172	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
173	C₂²×C₄×C₁₃	—	2	1	no	—
174	C₂²×C₄×C₁₃	—	2	1	no	—
175	C₂²×C₄×C₁₃	—	2	1	no	—
176	C₂²×C₄×C₁₃	—	2	1	no	—
177	C₂²×C₄×C₁₃	—	2	4	no	—
178	C₂²×C₄×C₁₃	—	2	1	no	—
179	C₂²×C₄×C₁₃	—	2	1	no	—
180	C₂²×C₄×C₁₃	—	2	1	no	—
181	C₂²×C₄×C₁₃	—	2	1	no	—
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	1	no	—
187	C₂²×C₄×C₁₃	—	2	1	no	—
188	C₂²×C₄×C₁₃	—	2	1	no	—
189	C₂²×C₄×C₁₃	—	2	1	no	—
190	C₂²×C₄×C₁₃	—	2	4	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	—	8	1	no	—
195	C₂²×C₄×C₁₃	—	8	1	no	—
196	C₂²×C₄×C₁₃	—	8	1	no	—
197	C₂²×C₄×C₁₃	—	8	1	no	—
198	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
199	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
200	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
201	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
202	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
203	C₁₃×SD₁₆	—	2	8	no	—
204	C₂×C₈×C₁₃	—	2	1	no	—
205	C₂×C₈×C₁₃	—	2	1	no	—
206	C₂×C₈×C₁₃	—	2	1	no	—
207	C₂×C₈×C₁₃	—	2	1	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	#41	1	2	yes	—
216	C₁₃×C₄⋊C₄	—	2	4	no	—
217	C₁₃×C₄⋊C₄	—	2	4	no	—
218	C₁₃×C₄⋊C₄	—	2	4	no	—
219	C₁₃×C₄⋊C₄	—	2	2	no	—
220	C₁₃×C₄⋊C₄	—	2	1	no	—
221	C₁₃×C₄⋊C₄	—	2	1	no	—
222	C₁₃×C₄⋊C₄	—	2	1	no	—
223	C₁₃×C₄⋊C₄	—	2	1	no	—
224	C₁₃×C₄⋊C₄	—	2	1	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	—	4	2	no	—
230	C₁₃×C₄⋊C₄	—	4	2	no	—
231	C₁₃×C₄⋊C₄	—	4	2	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	C₂×D₄	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	2	no	—
242	C₁₃×C₂²⋊C₄	—	2	2	no	—
243	C₁₃×C₂²⋊C₄	—	4	2	no	—
244	C₁₃×C₂²⋊C₄	—	4	2	no	—
245	C₁₃×C₂²⋊C₄	—	8	1	no	—
246	C₁₃×C₂²⋊C₄	—	8	1	no	—
247	C₄²×C₁₃	—	2	4	no	—
248	C₄²×C₁₃	—	4	2	no	—
249	C₄²×C₁₃	C₂×D₄	1	2	yes	—
250	C₄²×C₁₃	C₂×D₄	1	2	yes	—
251	C₂×#553	C₂×C₁₃	1	1	yes	characteristic
252	C₂×#479	C₂×C₁₃	1	1	yes	characteristic, complemented
253	C₂×#440	C₂×C₁₃	1	1	yes	characteristic, complemented
254	#2538	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	#1992	C₂×C₁₃	1	1	yes	characteristic, complemented
260	#1955	C₂×C₁₃	1	1	yes	characteristic, complemented
261	#1873	C₂×C₁₃	1	1	yes	characteristic, complemented
262	#1872	C₂×C₁₃	1	1	yes	characteristic, complemented
263	#1854	C₂×C₁₃	1	1	yes	characteristic, complemented
264	#1852	C₂×C₁₃	1	1	yes	characteristic, complemented
265	#1802	C₂×C₁₃	1	1	yes	characteristic, complemented
266	C₂³×C₁₃	—	2	1	no	—
267	C₂³×C₁₃	—	2	1	no	—
268	C₂³×C₁₃	—	2	1	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	2	no	—
274	C₂³×C₁₃	—	2	1	no	—
275	C₂³×C₁₃	—	2	1	no	—
276	C₂³×C₁₃	—	2	1	no	—
277	C₂³×C₁₃	—	2	1	no	—
278	C₂³×C₁₃	—	2	1	no	—
279	C₂³×C₁₃	—	2	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	#137	1	2	yes	—
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	—	4	4	no	—
295	D₄×C₁₃	—	4	8	no	—
296	D₄×C₁₃	—	4	1	no	—
297	D₄×C₁₃	—	4	1	no	—
298	D₄×C₁₃	—	8	4	no	—
299	C₂×C₄×C₁₃	—	2	1	no	—
300	C₂×C₄×C₁₃	—	2	1	no	—
301	C₂×C₄×C₁₃	—	2	1	no	—
302	C₂×C₄×C₁₃	—	2	1	no	—
303	C₂×C₄×C₁₃	—	2	1	no	—
304	C₂×C₄×C₁₃	—	2	2	no	—
305	C₂×C₄×C₁₃	—	2	2	no	—
306	C₂×C₄×C₁₃	—	2	1	no	—
307	C₂×C₄×C₁₃	—	2	2	no	—
308	C₂×C₄×C₁₃	—	2	2	no	—
309	C₂×C₄×C₁₃	—	2	1	no	—
310	C₂×C₄×C₁₃	—	2	1	no	—
311	C₂×C₄×C₁₃	—	2	1	no	—
312	C₂×C₄×C₁₃	—	2	1	no	—
313	C₂×C₄×C₁₃	—	4	1	no	—
314	C₂×C₄×C₁₃	—	4	1	no	—
315	C₂×C₄×C₁₃	—	4	1	no	—
316	C₂×C₄×C₁₃	—	4	1	no	—
317	C₂×C₄×C₁₃	—	4	1	no	—
318	C₂×C₄×C₁₃	—	4	1	no	—
319	C₂×C₄×C₁₃	—	4	1	no	—
320	C₂×C₄×C₁₃	—	4	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	—	8	4	no	—
339	C₂×C₄×C₁₃	—	8	4	no	—
340	C₂×C₄×C₁₃	#120	1	2	yes	—
341	C₂×C₄×C₁₃	#120	1	2	yes	—
342	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
343	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
345	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
346	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
347	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
348	C₈×C₁₃	—	2	2	no	—
349	C₈×C₁₃	—	4	1	no	—
350	C₈×C₁₃	—	4	1	no	—
351	C₈×C₁₃	—	4	1	no	—
352	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
353	#553	—	2	4	no	—
354	#553	—	2	4	no	—
355	C₂×#126	—	2	1	no	—
356	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
357	C₂×#123	—	2	1	no	—
358	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
360	C₂×#121	—	2	1	no	—
361	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
364	C₂×C₄×D₄	—	2	1	no	—
365	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
366	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
367	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
368	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
369	#479	—	2	4	no	—
370	#440	—	2	4	no	—
371	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
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×#103	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×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
382	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
383	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
385	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
386	#396	—	2	1	no	—
387	#396	—	2	1	no	—
388	#390	—	2	1	no	—
389	#389	—	2	1	no	—
390	#384	C₂²×C₁₃	1	1	yes	characteristic
391	#380	C₂²×C₁₃	1	1	yes	characteristic
392	#380	C₂²×C₁₃	1	1	yes	characteristic
393	#340	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	#340	C₂²×C₁₃	1	1	yes	characteristic
399	C₂²×C₁₃	—	2	2	no	—
400	C₂²×C₁₃	—	2	2	no	—
401	C₂²×C₁₃	—	2	2	no	—
402	C₂²×C₁₃	—	4	1	no	—
403	C₂²×C₁₃	—	4	1	no	—
404	C₂²×C₁₃	—	4	1	no	—
405	C₂²×C₁₃	—	4	1	no	—
406	C₂²×C₁₃	—	4	1	no	—
407	C₂²×C₁₃	—	4	1	no	—
408	C₂²×C₁₃	—	4	1	no	—
409	C₂²×C₁₃	—	4	2	no	—
410	C₂²×C₁₃	—	4	1	no	—
411	C₂²×C₁₃	—	4	2	no	—
412	C₂²×C₁₃	—	4	2	no	—
413	C₂²×C₁₃	—	4	1	no	—
414	C₂²×C₁₃	—	4	1	no	—
415	C₂²×C₁₃	—	4	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	C₂×#120	1	1	yes	characteristic
421	C₂²×C₁₃	#546	1	1	yes	characteristic
422	C₂²×C₁₃	#547	1	1	yes	characteristic
423	C₂²×C₁₃	C₂×#137	1	1	yes	characteristic
424	C₂²×C₁₃	#575	1	1	yes	characteristic
425	C₂²×C₁₃	#576	1	1	yes	characteristic
426	C₂²×C₁₃	#577	1	1	yes	characteristic
427	C₄×C₁₃	—	2	2	no	—
428	C₄×C₁₃	—	2	2	no	—
429	C₄×C₁₃	—	4	1	no	—
430	C₄×C₁₃	—	4	1	no	—
431	C₄×C₁₃	—	4	2	no	—
432	C₄×C₁₃	—	4	2	no	—
433	C₄×C₁₃	—	4	2	no	—
434	C₄×C₁₃	—	4	2	no	—
435	C₄×C₁₃	—	8	1	no	—
436	C₄×C₁₃	—	8	1	no	—
437	C₄×C₁₃	—	8	1	no	—
438	C₄×C₁₃	#525	1	1	yes	characteristic
439	C₄×C₁₃	#537	1	1	yes	characteristic
440	C₄×C₁₃	#548	1	1	yes	characteristic
441	C₄×C₁₃	#550	1	1	yes	characteristic
442	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
443	C₂²×D₄	—	2	1	no	—
444	C₂²×D₄	—	2	1	no	—
445	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
446	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
447	C₂³×C₄	—	2	1	no	—
448	C₂³×C₄	—	2	1	no	—
449	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
450	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
451	C₂×SD₁₆	—	2	2	no	—
452	C₂×SD₁₆	—	2	2	no	—
453	C₂×SD₁₆	—	2	2	no	—
454	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
455	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
456	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
457	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
458	#126	—	2	8	no	—
459	#125	—	2	2	no	—
460	#125	D₄×C₁₃	1	4	yes	—
461	#123	—	2	8	no	—
462	C₂²⋊Q₈	—	2	2	no	—
463	C₂²⋊Q₈	—	2	2	no	—
464	C₂²⋊Q₈	—	4	1	no	—
465	C₂²⋊Q₈	—	4	1	no	—
466	#121	—	2	8	no	—
467	#121	—	2	2	no	—
468	#121	—	2	2	no	—
469	#121	—	2	2	no	—
470	#121	—	2	2	no	—
471	C₄×Q₈	—	2	2	no	—
472	C₄×Q₈	—	2	2	no	—
473	C₄×D₄	—	2	8	no	—
474	C₄×D₄	—	2	2	no	—
475	C₄×D₄	—	2	2	no	—
476	C₄×D₄	—	2	2	no	—
477	C₄×D₄	D₄×C₁₃	1	4	yes	—
478	#117	—	2	2	no	—
479	#117	—	2	2	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	2	no	—
484	C₂×C₄⋊C₄	—	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	C₂³×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	—	2	1	no	—
504	C₂×C₂²⋊C₄	—	2	1	no	—
505	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
506	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
507	C₂×C₄²	—	2	1	no	—
508	C₂×C₄²	—	2	1	no	—
509	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
510	#107	—	2	2	no	—
511	#107	—	2	2	no	—
512	#106	—	2	2	no	—
513	C₄⋊C₈	—	2	2	no	—
514	#103	—	2	2	no	—
515	#103	—	2	2	no	—
516	#103	—	2	2	no	—
517	#102	—	2	2	no	—
518	#102	—	4	1	no	—
519	#102	—	4	1	no	—
520	C₂²⋊C₈	—	2	2	no	—
521	C₂²⋊C₈	—	2	2	no	—
522	C₂²⋊C₈	—	4	1	no	—
523	C₂²⋊C₈	—	4	1	no	—
524	#97	—	2	2	no	—
525	#95	—	2	1	no	—
526	#95	—	2	1	no	—
527	C₂×C₁₃	—	4	2	no	—
528	C₂×C₁₃	—	8	1	no	—
529	C₂×C₁₃	—	8	2	no	—
530	C₂×C₁₃	#2407	1	1	yes	characteristic
531	C₂×C₁₃	#3007	1	1	yes	characteristic
532	C₂×C₁₃	#3012	1	1	yes	characteristic
533	C₂×C₁₃	#3309	1	1	yes	characteristic
534	C₂×C₁₃	#3320	1	1	yes	characteristic
535	C₂×C₁₃	#3346	1	1	yes	characteristic
536	C₂×C₁₃	#3350	1	1	yes	characteristic
537	C₂⁴	—	2	1	no	—
538	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
539	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
540	C₂×Q₈	—	2	1	no	—
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	C₁₃×#41	1	2	yes	—
546	C₂×D₄	—	2	4	no	—
547	C₂×D₄	—	2	2	no	—
548	C₂×D₄	—	2	4	no	—
549	C₂×D₄	—	2	2	no	—
550	C₂×D₄	—	2	1	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	—	4	1	no	—
556	C₂×D₄	—	4	2	no	—
557	C₂×D₄	—	4	2	no	—
558	C₂×D₄	—	8	1	no	—
559	C₂×D₄	—	8	1	no	—
560	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
561	C₂²×C₄	—	2	1	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	1	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	—	2	4	no	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
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	1	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	4	no	—
579	C₂²×C₄	—	2	1	no	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	8	1	no	—
583	C₂²×C₄	—	8	1	no	—
584	C₂²×C₄	—	8	1	no	—
585	C₂²×C₄	—	8	1	no	—
586	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
587	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
588	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
589	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
590	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
591	SD₁₆	—	2	8	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	2	1	no	—
595	C₂×C₈	—	2	1	no	—
596	C₂×C₈	—	2	1	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	C₁₃×#41	1	2	yes	—
604	C₄⋊C₄	—	2	4	no	—
605	C₄⋊C₄	—	2	4	no	—
606	C₄⋊C₄	—	2	4	no	—
607	C₄⋊C₄	—	2	2	no	—
608	C₄⋊C₄	—	2	1	no	—
609	C₄⋊C₄	—	2	1	no	—
610	C₄⋊C₄	—	2	1	no	—
611	C₄⋊C₄	—	2	1	no	—
612	C₄⋊C₄	—	2	1	no	—
613	C₄⋊C₄	—	2	1	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	4	2	no	—
618	C₄⋊C₄	—	4	2	no	—
619	C₄⋊C₄	—	4	2	no	—
620	C₄⋊C₄	—	4	2	no	—
621	C₄⋊C₄	—	8	1	no	—
622	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
623	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
624	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
625	C₂²⋊C₄	—	2	4	no	—
626	C₂²⋊C₄	—	2	4	no	—
627	C₂²⋊C₄	—	2	4	no	—
628	C₂²⋊C₄	—	2	4	no	—
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	4	2	no	—
632	C₂²⋊C₄	—	4	2	no	—
633	C₂²⋊C₄	—	8	1	no	—
634	C₂²⋊C₄	—	8	1	no	—
635	C₄²	—	2	4	no	—
636	C₄²	—	4	2	no	—
637	C₄²	C₂×D₄×C₁₃	1	2	yes	—
638	C₄²	C₂×D₄×C₁₃	1	2	yes	—
639	C₁₃	#24138	1	1	yes	characteristic, direct product factor, Sylow
640	C₂³	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	2	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	2	1	no	—
653	C₂³	—	2	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	C₁₃×#137	1	2	yes	—
661	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
662	Q₈	—	2	2	no	—
663	Q₈	—	2	2	no	—
664	Q₈	—	4	1	no	—
665	Q₈	—	4	1	no	—
666	D₄	—	2	2	no	—
667	D₄	—	2	2	no	—
668	D₄	—	4	4	no	—
669	D₄	—	4	8	no	—
670	D₄	—	4	1	no	—
671	D₄	—	4	1	no	—
672	D₄	—	8	4	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	1	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	4	1	no	—
688	C₂×C₄	—	4	1	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	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	—	8	4	no	—
713	C₂×C₄	—	8	4	no	—
714	C₂×C₄	C₁₃×#120	1	2	yes	—
715	C₂×C₄	C₁₃×#120	1	2	yes	—
716	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
717	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
718	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
719	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
720	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
721	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
722	C₈	—	2	2	no	—
723	C₈	—	4	1	no	—
724	C₈	—	4	1	no	—
725	C₈	—	4	1	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	2	no	—
729	C₂²	—	4	1	no	—
730	C₂²	—	4	1	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	1	no	—
733	C₂²	—	4	1	no	—
734	C₂²	—	4	2	no	—
735	C₂²	—	4	2	no	—
736	C₂²	—	4	1	no	—
737	C₂²	—	4	1	no	—
738	C₂²	—	4	1	no	—
739	C₂²	—	4	1	no	—
740	C₂²	—	4	1	no	—
741	C₂²	—	4	1	no	—
742	C₂²	—	4	2	no	—
743	C₂²	—	8	1	no	—
744	C₂²	—	8	1	no	—
745	C₂²	—	8	1	no	—
746	C₂²	—	8	1	no	—
747	C₂²	C₂×C₁₃×#120	1	1	yes	characteristic
748	C₂²	C₁₃×#546	1	1	yes	characteristic
749	C₂²	C₁₃×#547	1	1	yes	characteristic
750	C₂²	C₂×C₁₃×#137	1	1	yes	characteristic
751	C₂²	C₁₃×#575	1	1	yes	characteristic
752	C₂²	C₁₃×#576	1	1	yes	characteristic
753	C₂²	C₁₃×#577	1	1	yes	characteristic
754	C₄	—	2	2	no	—
755	C₄	—	2	2	no	—
756	C₄	—	4	2	no	—
757	C₄	—	4	2	no	—
758	C₄	—	4	2	no	—
759	C₄	—	4	1	no	—
760	C₄	—	4	1	no	—
761	C₄	—	4	2	no	—
762	C₄	—	8	1	no	—
763	C₄	—	8	1	no	—
764	C₄	—	8	1	no	—
765	C₄	C₁₃×#525	1	1	yes	characteristic
766	C₄	C₁₃×#537	1	1	yes	characteristic
767	C₄	C₁₃×#548	1	1	yes	characteristic
768	C₄	C₁₃×#550	1	1	yes	characteristic
769	C₂	—	4	2	no	—
770	C₂	—	8	1	no	—
771	C₂	—	8	2	no	—
772	C₂	C₁₃×#2407	1	1	yes	characteristic
773	C₂	C₁₃×#3007	1	1	yes	characteristic
774	C₂	C₁₃×#3012	1	1	yes	characteristic
775	C₂	C₁₃×#3309	1	1	yes	characteristic
776	C₂	C₁₃×#3320	1	1	yes	characteristic
777	C₂	C₁₃×#3346	1	1	yes	characteristic
778	C₂	C₁₃×#3350	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂×C₁₃×#553	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ 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×#440	C₂	semidirect
4. C₁₃×#2538	C₂	semidirect
5. C₁₃×#2034	C₂	semidirect
6. C₁₃×#2033	C₂	semidirect
7. C₁₃×#2000	C₂	semidirect
8. C₁₃×#2000	C₂	semidirect
9. C₁₃×#1992	C₂	semidirect
10. C₁₃×#1955	C₂	semidirect
11. C₁₃×#1873	C₂	semidirect
12. C₁₃×#1872	C₂	semidirect
13. C₁₃×#1854	C₂	semidirect
14. C₁₃×#1852	C₂	semidirect
15. C₁₃×#1802	C₂	semidirect
148. #24138	C₁₃	direct (N × H)
252. C₂×#479	C₂×C₁₃	semidirect
253. C₂×#440	C₂×C₁₃	semidirect
254. #2538	C₂×C₁₃	semidirect
255. #2034	C₂×C₁₃	semidirect
256. #2033	C₂×C₁₃	semidirect
257. #2000	C₂×C₁₃	semidirect
258. #2000	C₂×C₁₃	semidirect
259. #1992	C₂×C₁₃	semidirect
260. #1955	C₂×C₁₃	semidirect
261. #1873	C₂×C₁₃	semidirect
262. #1872	C₂×C₁₃	semidirect
263. #1854	C₂×C₁₃	semidirect
264. #1852	C₂×C₁₃	semidirect
265. #1802	C₂×C₁₃	semidirect
639. C₁₃	#24138	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×#553	2
C₂×C₁₃×#479	2
C₂×C₁₃×#440	2
C₁₃×#2538	2
C₁₃×#2034	2
C₁₃×#2033	2
C₁₃×#2000	2
C₁₃×#1992	2
C₁₃×#1955	2
C₁₃×#1873	2
C₁₃×#1872	2
C₁₃×#1854	2
C₁₃×#1852	2
C₁₃×#1802	2
#24138	13

Subgroups — C13×#24138 #15710477

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#24138 #15710477