Subgroups — C₁₃×#60934 #15747273

Order 3328.

1892 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3494	C₂	1	2	yes	maximal, complemented
2	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
3	C₁₃×#3259	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3257	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3247	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3245	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3083	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3081	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3055	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3050	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3045	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3041	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#424	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
17	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
18	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
19	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
20	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₁₃×#555	—	2	2	no	—
22	C₁₃×#553	—	2	2	no	—
23	C₁₃×#553	—	2	2	no	—
24	C₁₃×#551	—	2	4	no	—
25	C₁₃×#547	—	2	2	no	—
26	C₁₃×#546	—	2	4	no	—
27	C₁₃×#544	C₂²	1	2	yes	—
28	C₁₃×#542	C₂²	1	4	yes	complemented
29	C₁₃×#540	C₂²	1	4	yes	complemented
30	C₁₃×#535	C₂²	1	2	yes	—
31	C₁₃×#532	C₂²	1	4	yes	complemented
32	C₁₃×#529	C₂²	1	4	yes	complemented
33	C₁₃×#525	C₂²	1	2	yes	—
34	C₂×C₁₃×#121	C₂²	1	2	yes	—
35	C₁₃×#520	C₂²	1	2	yes	—
36	C₁₃×#518	C₂²	1	2	yes	—
37	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
38	C₁₃×#479	C₂²	1	4	yes	complemented
39	C₁₃×#478	C₂²	1	4	yes	complemented
40	C₁₃×#478	C₂²	1	4	yes	complemented
41	C₁₃×#478	C₂²	1	4	yes	complemented
42	C₁₃×#477	C₂²	1	4	yes	complemented
43	C₁₃×#476	C₂²	1	4	yes	complemented
44	C₁₃×#474	C₂²	1	4	yes	complemented
45	C₁₃×#474	C₂²	1	4	yes	complemented
46	C₁₃×#469	C₂²	1	4	yes	complemented
47	C₁₃×#468	C₂²	1	4	yes	complemented
48	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#466	C₂²	1	2	yes	—
51	C₁₃×#466	C₂²	1	2	yes	—
52	C₁₃×#466	C₂²	1	2	yes	—
53	C₁₃×#466	C₂²	1	2	yes	—
54	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#466	C₂²	1	4	yes	complemented
57	C₁₃×#465	C₂²	1	2	yes	complemented
58	C₁₃×#465	C₂²	1	2	yes	complemented
59	C₁₃×#465	C₂²	1	4	yes	complemented
60	C₁₃×#464	C₂²	1	4	yes	complemented
61	C₁₃×#463	C₂²	1	4	yes	complemented
62	C₁₃×#463	C₂²	1	4	yes	complemented
63	C₁₃×#463	C₂²	1	4	yes	complemented
64	C₁₃×#460	C₂²	1	4	yes	complemented
65	C₁₃×#459	C₂²	1	4	yes	complemented
66	C₁₃×#459	C₂²	1	4	yes	complemented
67	C₁₃×#459	C₂²	1	4	yes	complemented
68	C₁₃×#428	C₂²	1	2	yes	—
69	C₁₃×#427	C₂²	1	1	yes	characteristic
70	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
71	C₁₃×#424	C₂²	1	2	yes	—
72	C₁₃×#424	C₂²	1	2	yes	—
73	C₁₃×#424	C₂²	1	2	yes	complemented
74	C₁₃×#424	C₂²	1	2	yes	complemented
75	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
76	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
77	C₁₃×#418	C₂²	1	2	yes	—
78	C₁₃×#417	C₂²	1	2	yes	—
79	C₁₃×#416	C₂²	1	2	yes	—
80	C₂×C₁₃×#102	C₂²	1	2	yes	—
81	C₂×C₁₃×#41	—	2	4	no	—
82	C₂×C₁₃×#41	C₂³	1	2	yes	—
83	C₂²×D₄×C₁₃	—	2	2	no	—
84	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
85	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
86	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
87	C₁₃×#135	—	4	2	no	—
88	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
89	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
90	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
91	C₂×C₁₃×D₈	—	4	2	no	—
92	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
93	C₂×C₁₃×D₈	C₂³	1	4	yes	—
94	C₂×C₁₃×D₈	C₂³	1	2	yes	—
95	C₂×C₁₃×D₈	C₂³	1	2	yes	—
96	C₂×C₁₃×M₁₆	—	4	2	no	—
97	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
98	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
99	C₂²×C₈×C₁₃	—	4	2	no	—
100	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
101	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
102	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
103	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
104	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
105	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
106	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
107	C₁₃×C₄⋊Q₈	—	2	2	no	—
108	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
109	C₁₃×#127	C₂³	1	4	yes	—
110	C₁₃×#126	—	2	4	no	—
111	C₁₃×#126	—	2	4	no	—
112	C₁₃×#125	—	2	2	no	—
113	C₁₃×#125	C₂³	1	4	yes	—
114	C₁₃×#124	—	2	4	no	—
115	C₁₃×#124	—	2	4	no	—
116	C₁₃×#124	C₂³	1	4	yes	—
117	C₁₃×#123	—	2	2	no	—
118	C₁₃×#123	—	2	4	no	—
119	C₁₃×#123	—	2	4	no	—
120	C₁₃×#123	—	2	4	no	—
121	C₁₃×#123	—	2	4	no	—
122	C₁₃×C₂²⋊Q₈	—	2	4	no	—
123	C₁₃×C₂²⋊Q₈	—	2	4	no	—
124	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
125	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
126	C₁₃×#121	—	2	2	no	—
127	C₁₃×#121	—	2	2	no	—
128	C₁₃×#121	—	2	4	no	—
129	C₁₃×#121	—	2	2	no	—
130	C₁₃×#121	—	2	2	no	—
131	C₁₃×#121	—	2	4	no	—
132	C₁₃×#121	—	2	4	no	—
133	C₁₃×#121	C₂³	1	4	yes	—
134	C₁₃×#121	C₂³	1	2	yes	—
135	C₁₃×#121	C₂³	1	2	yes	—
136	C₁₃×#121	C₂³	1	4	yes	—
137	C₁₃×#120	—	2	2	no	—
138	C₁₃×#120	—	2	4	no	—
139	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
140	C₄×D₄×C₁₃	—	2	2	no	—
141	C₄×D₄×C₁₃	—	2	2	no	—
142	C₄×D₄×C₁₃	—	2	4	no	—
143	C₄×D₄×C₁₃	—	2	2	no	—
144	C₄×D₄×C₁₃	—	2	2	no	—
145	C₄×D₄×C₁₃	—	2	4	no	—
146	C₄×D₄×C₁₃	—	2	4	no	—
147	C₄×D₄×C₁₃	C₂³	1	4	yes	—
148	C₄×D₄×C₁₃	C₂³	1	4	yes	—
149	C₄×D₄×C₁₃	C₂³	1	4	yes	—
150	C₁₃×#117	—	2	2	no	—
151	C₁₃×#117	—	2	4	no	—
152	C₁₃×#117	D₄	1	2	yes	—
153	C₁₃×#117	D₄	1	2	yes	—
154	C₁₃×#117	C₂³	1	2	yes	—
155	C₁₃×#117	C₂³	1	2	yes	—
156	C₁₃×#117	C₂³	1	2	yes	—
157	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
158	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
159	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
162	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
163	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
164	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
165	C₁₃×#107	C₂³	1	2	yes	—
166	C₁₃×#107	C₂³	1	2	yes	—
167	C₁₃×#107	C₂³	1	1	yes	characteristic
168	C₁₃×#107	C₂³	1	1	yes	characteristic
169	C₁₃×#107	C₂³	1	4	yes	—
170	C₁₃×#106	C₂³	1	2	yes	—
171	C₁₃×#106	C₂³	1	4	yes	—
172	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
173	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
174	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
175	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
176	C₁₃×#103	C₂³	1	2	yes	—
177	C₁₃×#103	C₂³	1	2	yes	—
178	C₁₃×#103	C₂³	1	4	yes	—
179	C₁₃×#102	C₂³	1	4	yes	—
180	C₁₃×#102	C₂³	1	4	yes	—
181	C₁₃×#102	C₂³	1	2	yes	—
182	C₁₃×#102	C₂³	1	2	yes	—
183	C₁₃×#102	C₂³	1	4	yes	—
184	C₁₃×#102	C₂³	1	4	yes	—
185	C₁₃×#102	C₂³	1	4	yes	—
186	#60934	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
187	C₂⁴×C₁₃	—	2	2	no	—
188	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
189	C₁₃×#41	—	2	4	no	—
190	C₁₃×#41	—	2	4	no	—
191	C₁₃×#41	—	8	8	no	—
192	C₂×Q₈×C₁₃	—	2	4	no	—
193	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
194	C₂×D₄×C₁₃	—	2	2	no	—
195	C₂×D₄×C₁₃	—	2	2	no	—
196	C₂×D₄×C₁₃	—	2	4	no	—
197	C₂×D₄×C₁₃	—	2	2	no	—
198	C₂×D₄×C₁₃	—	2	4	no	—
199	C₂×D₄×C₁₃	—	2	2	no	—
200	C₂×D₄×C₁₃	—	2	4	no	—
201	C₂×D₄×C₁₃	—	2	4	no	—
202	C₂×D₄×C₁₃	—	2	4	no	—
203	C₂×D₄×C₁₃	—	2	4	no	—
204	C₂×D₄×C₁₃	—	8	4	no	—
205	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
206	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
207	C₂²×C₄×C₁₃	—	2	2	no	—
208	C₂²×C₄×C₁₃	—	2	2	no	—
209	C₂²×C₄×C₁₃	—	2	2	no	—
210	C₂²×C₄×C₁₃	—	2	2	no	—
211	C₂²×C₄×C₁₃	—	2	4	no	—
212	C₂²×C₄×C₁₃	—	2	4	no	—
213	C₂²×C₄×C₁₃	—	2	4	no	—
214	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
215	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
216	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
217	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
218	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
219	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
220	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
221	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
222	C₁₃×Q₁₆	—	4	1	no	—
223	C₁₃×SD₁₆	—	4	2	no	—
224	C₁₃×SD₁₆	—	4	4	no	—
225	C₁₃×D₈	—	4	2	no	—
226	C₁₃×D₈	—	4	2	no	—
227	C₁₃×D₈	—	4	1	no	—
228	C₁₃×D₈	—	4	4	no	—
229	C₁₃×M₁₆	—	2	4	no	—
230	C₁₃×M₁₆	—	4	2	no	—
231	C₂×C₈×C₁₃	—	2	2	no	—
232	C₂×C₈×C₁₃	—	2	2	no	—
233	C₂×C₈×C₁₃	—	4	1	no	—
234	C₂×C₈×C₁₃	—	4	1	no	—
235	C₂×C₈×C₁₃	—	4	1	no	—
236	C₂×C₈×C₁₃	—	4	1	no	—
237	C₂×C₈×C₁₃	—	4	2	no	—
238	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
239	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
240	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
241	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
242	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
243	C₁₃×C₄⋊C₄	—	2	2	no	—
244	C₁₃×C₄⋊C₄	—	2	4	no	—
245	C₁₃×C₄⋊C₄	—	2	2	no	—
246	C₁₃×C₄⋊C₄	—	2	4	no	—
247	C₁₃×C₄⋊C₄	—	2	4	no	—
248	C₁₃×C₄⋊C₄	—	2	4	no	—
249	C₁₃×C₄⋊C₄	—	2	2	no	—
250	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
251	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
252	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
253	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
254	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
255	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
256	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
257	C₁₃×C₂²⋊C₄	—	2	2	no	—
258	C₁₃×C₂²⋊C₄	—	2	2	no	—
259	C₁₃×C₂²⋊C₄	—	2	2	no	—
260	C₁₃×C₂²⋊C₄	—	2	4	no	—
261	C₁₃×C₂²⋊C₄	—	2	4	no	—
262	C₁₃×C₂²⋊C₄	—	2	4	no	—
263	C₁₃×C₂²⋊C₄	—	2	4	no	—
264	C₁₃×C₂²⋊C₄	—	2	4	no	—
265	C₁₃×C₂²⋊C₄	—	2	4	no	—
266	C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₁₃×C₂²⋊C₄	—	2	4	no	—
268	C₁₃×C₂²⋊C₄	—	2	2	no	—
269	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
270	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
271	C₄²×C₁₃	—	2	4	no	—
272	C₄²×C₁₃	—	2	2	no	—
273	C₄²×C₁₃	C₂×D₄	1	4	yes	—
274	C₄²×C₁₃	C₂⁴	1	4	yes	—
275	#3494	C₂×C₁₃	1	2	yes	complemented
276	#3262	C₂×C₁₃	1	2	yes	complemented
277	#3259	C₂×C₁₃	1	2	yes	complemented
278	#3257	C₂×C₁₃	1	4	yes	complemented
279	#3250	C₂×C₁₃	1	2	yes	complemented
280	#3247	C₂×C₁₃	1	4	yes	complemented
281	#3245	C₂×C₁₃	1	2	yes	complemented
282	#3083	C₂×C₁₃	1	2	yes	complemented
283	#3081	C₂×C₁₃	1	2	yes	complemented
284	#3055	C₂×C₁₃	1	2	yes	complemented
285	#3050	C₂×C₁₃	1	1	yes	characteristic, complemented
286	C₂×#466	C₂×C₁₃	1	1	yes	characteristic, complemented
287	#3045	C₂×C₁₃	1	2	yes	complemented
288	#3041	C₂×C₁₃	1	2	yes	complemented
289	C₂×#424	C₂×C₁₃	1	1	yes	characteristic, complemented
290	C₂³×C₁₃	—	2	2	no	—
291	C₂³×C₁₃	—	2	2	no	—
292	C₂³×C₁₃	—	2	4	no	—
293	C₂³×C₁₃	—	2	2	no	—
294	C₂³×C₁₃	—	4	1	no	—
295	C₂³×C₁₃	—	4	4	no	—
296	C₂³×C₁₃	—	8	2	no	—
297	C₂³×C₁₃	—	8	2	no	—
298	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
299	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
300	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
301	Q₈×C₁₃	—	2	2	no	—
302	Q₈×C₁₃	—	2	2	no	—
303	Q₈×C₁₃	—	8	4	no	—
304	D₄×C₁₃	—	2	4	no	—
305	D₄×C₁₃	—	2	2	no	—
306	D₄×C₁₃	—	2	4	no	—
307	D₄×C₁₃	—	2	2	no	—
308	D₄×C₁₃	—	4	4	no	—
309	D₄×C₁₃	—	4	8	no	—
310	D₄×C₁₃	—	4	4	no	—
311	D₄×C₁₃	—	4	4	no	—
312	D₄×C₁₃	—	8	4	no	—
313	D₄×C₁₃	—	8	4	no	—
314	D₄×C₁₃	—	8	2	no	—
315	D₄×C₁₃	—	8	4	no	—
316	C₂×C₄×C₁₃	—	2	2	no	—
317	C₂×C₄×C₁₃	—	2	4	no	—
318	C₂×C₄×C₁₃	—	2	2	no	—
319	C₂×C₄×C₁₃	—	2	2	no	—
320	C₂×C₄×C₁₃	—	2	1	no	—
321	C₂×C₄×C₁₃	—	2	1	no	—
322	C₂×C₄×C₁₃	—	2	1	no	—
323	C₂×C₄×C₁₃	—	2	1	no	—
324	C₂×C₄×C₁₃	—	2	2	no	—
325	C₂×C₄×C₁₃	—	2	2	no	—
326	C₂×C₄×C₁₃	—	2	2	no	—
327	C₂×C₄×C₁₃	—	2	4	no	—
328	C₂×C₄×C₁₃	—	4	2	no	—
329	C₂×C₄×C₁₃	—	4	4	no	—
330	C₂×C₄×C₁₃	—	8	4	no	—
331	C₂×C₄×C₁₃	—	8	4	no	—
332	C₂×C₄×C₁₃	—	8	4	no	—
333	C₂×C₄×C₁₃	—	8	2	no	—
334	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
335	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
336	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
337	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
338	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
340	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
341	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
342	C₈×C₁₃	—	2	1	no	—
343	C₈×C₁₃	—	2	1	no	—
344	C₈×C₁₃	—	2	1	no	—
345	C₈×C₁₃	—	2	1	no	—
346	C₈×C₁₃	—	2	4	no	—
347	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
348	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
349	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
350	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
351	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
352	#555	—	2	2	no	—
353	#553	—	2	2	no	—
354	#553	—	2	2	no	—
355	#551	—	2	4	no	—
356	#547	—	2	2	no	—
357	#546	—	2	4	no	—
358	#544	C₂²×C₁₃	1	2	yes	—
359	#542	C₂²×C₁₃	1	4	yes	complemented
360	#540	C₂²×C₁₃	1	4	yes	complemented
361	#535	C₂²×C₁₃	1	2	yes	—
362	#532	C₂²×C₁₃	1	4	yes	complemented
363	#529	C₂²×C₁₃	1	4	yes	complemented
364	#525	C₂²×C₁₃	1	2	yes	—
365	C₂×#121	C₂²×C₁₃	1	2	yes	—
366	#520	C₂²×C₁₃	1	2	yes	—
367	#518	C₂²×C₁₃	1	2	yes	—
368	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
369	#479	C₂²×C₁₃	1	4	yes	complemented
370	#478	C₂²×C₁₃	1	4	yes	complemented
371	#478	C₂²×C₁₃	1	4	yes	complemented
372	#478	C₂²×C₁₃	1	4	yes	complemented
373	#477	C₂²×C₁₃	1	4	yes	complemented
374	#476	C₂²×C₁₃	1	4	yes	complemented
375	#474	C₂²×C₁₃	1	4	yes	complemented
376	#474	C₂²×C₁₃	1	4	yes	complemented
377	#469	C₂²×C₁₃	1	4	yes	complemented
378	#468	C₂²×C₁₃	1	4	yes	complemented
379	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
380	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
381	#466	C₂²×C₁₃	1	2	yes	—
382	#466	C₂²×C₁₃	1	2	yes	—
383	#466	C₂²×C₁₃	1	2	yes	—
384	#466	C₂²×C₁₃	1	2	yes	—
385	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
386	#466	C₂²×C₁₃	1	4	yes	complemented
387	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
388	#465	C₂²×C₁₃	1	2	yes	complemented
389	#465	C₂²×C₁₃	1	4	yes	complemented
390	#465	C₂²×C₁₃	1	2	yes	complemented
391	#464	C₂²×C₁₃	1	4	yes	complemented
392	#463	C₂²×C₁₃	1	4	yes	complemented
393	#463	C₂²×C₁₃	1	4	yes	complemented
394	#463	C₂²×C₁₃	1	4	yes	complemented
395	#460	C₂²×C₁₃	1	4	yes	complemented
396	#459	C₂²×C₁₃	1	4	yes	complemented
397	#459	C₂²×C₁₃	1	4	yes	complemented
398	#459	C₂²×C₁₃	1	4	yes	complemented
399	#428	C₂²×C₁₃	1	2	yes	—
400	#427	C₂²×C₁₃	1	1	yes	characteristic
401	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
402	#424	C₂²×C₁₃	1	2	yes	—
403	#424	C₂²×C₁₃	1	2	yes	—
404	#424	C₂²×C₁₃	1	2	yes	complemented
405	#424	C₂²×C₁₃	1	2	yes	complemented
406	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
407	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
408	#418	C₂²×C₁₃	1	2	yes	—
409	#417	C₂²×C₁₃	1	2	yes	—
410	#416	C₂²×C₁₃	1	2	yes	—
411	C₂×#102	C₂²×C₁₃	1	2	yes	—
412	C₂²×C₁₃	—	2	1	no	—
413	C₂²×C₁₃	—	2	1	no	—
414	C₂²×C₁₃	—	2	1	no	—
415	C₂²×C₁₃	—	2	1	no	—
416	C₂²×C₁₃	—	2	1	no	—
417	C₂²×C₁₃	—	2	1	no	—
418	C₂²×C₁₃	—	2	1	no	—
419	C₂²×C₁₃	—	4	4	no	—
420	C₂²×C₁₃	—	4	4	no	—
421	C₂²×C₁₃	—	4	2	no	—
422	C₂²×C₁₃	—	4	2	no	—
423	C₂²×C₁₃	—	4	4	no	—
424	C₂²×C₁₃	—	4	2	no	—
425	C₂²×C₁₃	—	4	4	no	—
426	C₂²×C₁₃	—	16	4	no	—
427	C₂²×C₁₃	#537	1	2	yes	—
428	C₂²×C₁₃	#576	1	2	yes	—
429	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
430	C₄×C₁₃	—	2	4	no	—
431	C₄×C₁₃	—	2	1	no	—
432	C₄×C₁₃	—	2	1	no	—
433	C₄×C₁₃	—	2	4	no	—
434	C₄×C₁₃	—	4	2	no	—
435	C₄×C₁₃	—	4	2	no	—
436	C₄×C₁₃	—	4	4	no	—
437	C₄×C₁₃	—	4	2	no	—
438	C₄×C₁₃	#537	1	2	yes	—
439	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
440	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
441	C₂×#41	—	2	4	no	—
442	C₂×#41	C₂³×C₁₃	1	2	yes	—
443	C₂²×D₄	—	2	2	no	—
444	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
445	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
446	AGL(1,ℤ/8)	—	4	4	no	—
447	#135	—	4	2	no	—
448	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
449	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
450	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
451	C₂×D₈	—	4	2	no	—
452	C₂×D₈	C₂³×C₁₃	1	2	yes	—
453	C₂×D₈	C₂³×C₁₃	1	2	yes	—
454	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
455	C₂×D₈	C₂³×C₁₃	1	4	yes	—
456	C₂×M₁₆	—	4	2	no	—
457	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
458	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
459	C₂²×C₈	—	4	2	no	—
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	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
464	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
465	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
466	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
467	C₄⋊Q₈	—	2	2	no	—
468	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
469	#127	C₂³×C₁₃	1	4	yes	—
470	#126	—	2	4	no	—
471	#126	—	2	4	no	—
472	#125	—	2	2	no	—
473	#125	C₂³×C₁₃	1	4	yes	—
474	#124	—	2	4	no	—
475	#124	—	2	4	no	—
476	#124	C₂³×C₁₃	1	4	yes	—
477	#123	—	2	2	no	—
478	#123	—	2	4	no	—
479	#123	—	2	4	no	—
480	#123	—	2	4	no	—
481	#123	—	2	4	no	—
482	C₂²⋊Q₈	—	2	4	no	—
483	C₂²⋊Q₈	—	2	4	no	—
484	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
485	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
486	#121	—	2	2	no	—
487	#121	—	2	2	no	—
488	#121	—	2	4	no	—
489	#121	—	2	2	no	—
490	#121	—	2	2	no	—
491	#121	—	2	4	no	—
492	#121	—	2	4	no	—
493	#121	C₂³×C₁₃	1	4	yes	—
494	#121	C₂³×C₁₃	1	4	yes	—
495	#121	C₂³×C₁₃	1	2	yes	—
496	#121	C₂³×C₁₃	1	2	yes	—
497	#120	—	2	2	no	—
498	#120	—	2	4	no	—
499	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
500	C₄×D₄	—	2	2	no	—
501	C₄×D₄	—	2	2	no	—
502	C₄×D₄	—	2	4	no	—
503	C₄×D₄	—	2	2	no	—
504	C₄×D₄	—	2	2	no	—
505	C₄×D₄	—	2	4	no	—
506	C₄×D₄	—	2	4	no	—
507	C₄×D₄	C₂³×C₁₃	1	4	yes	—
508	C₄×D₄	C₂³×C₁₃	1	4	yes	—
509	C₄×D₄	C₂³×C₁₃	1	4	yes	—
510	#117	—	2	2	no	—
511	#117	—	2	4	no	—
512	#117	D₄×C₁₃	1	2	yes	—
513	#117	D₄×C₁₃	1	2	yes	—
514	#117	C₂³×C₁₃	1	2	yes	—
515	#117	C₂³×C₁₃	1	2	yes	—
516	#117	C₂³×C₁₃	1	2	yes	—
517	C₂×C₄⋊C₄	—	2	2	no	—
518	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
519	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
520	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
521	C₂×C₂²⋊C₄	—	2	2	no	—
522	C₂×C₂²⋊C₄	—	2	4	no	—
523	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
524	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
525	#107	C₂³×C₁₃	1	2	yes	—
526	#107	C₂³×C₁₃	1	2	yes	—
527	#107	C₂³×C₁₃	1	1	yes	characteristic
528	#107	C₂³×C₁₃	1	1	yes	characteristic
529	#107	C₂³×C₁₃	1	4	yes	—
530	#106	C₂³×C₁₃	1	2	yes	—
531	#106	C₂³×C₁₃	1	4	yes	—
532	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
533	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
534	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
535	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
536	#103	C₂³×C₁₃	1	2	yes	—
537	#103	C₂³×C₁₃	1	2	yes	—
538	#103	C₂³×C₁₃	1	4	yes	—
539	#102	C₂³×C₁₃	1	4	yes	—
540	#102	C₂³×C₁₃	1	4	yes	—
541	#102	C₂³×C₁₃	1	2	yes	—
542	#102	C₂³×C₁₃	1	2	yes	—
543	#102	C₂³×C₁₃	1	4	yes	—
544	#102	C₂³×C₁₃	1	4	yes	—
545	#102	C₂³×C₁₃	1	4	yes	—
546	C₂×C₁₃	—	2	2	no	—
547	C₂×C₁₃	—	2	2	no	—
548	C₂×C₁₃	—	4	1	no	—
549	C₂×C₁₃	—	8	2	no	—
550	C₂×C₁₃	—	8	4	no	—
551	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
552	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
553	C₂×C₁₃	#3584	1	1	yes	characteristic
554	C₂⁴	—	2	2	no	—
555	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
556	#41	—	2	4	no	—
557	#41	—	2	4	no	—
558	#41	—	8	8	no	—
559	C₂×Q₈	—	2	4	no	—
560	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
561	C₂×D₄	—	2	2	no	—
562	C₂×D₄	—	2	2	no	—
563	C₂×D₄	—	2	4	no	—
564	C₂×D₄	—	2	2	no	—
565	C₂×D₄	—	2	4	no	—
566	C₂×D₄	—	2	2	no	—
567	C₂×D₄	—	2	4	no	—
568	C₂×D₄	—	2	4	no	—
569	C₂×D₄	—	2	4	no	—
570	C₂×D₄	—	2	4	no	—
571	C₂×D₄	—	8	4	no	—
572	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
573	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	2	no	—
578	C₂²×C₄	—	2	4	no	—
579	C₂²×C₄	—	2	4	no	—
580	C₂²×C₄	—	2	4	no	—
581	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
582	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
583	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
584	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
585	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
586	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
588	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
589	Q₁₆	—	4	1	no	—
590	SD₁₆	—	4	2	no	—
591	SD₁₆	—	4	4	no	—
592	D₈	—	4	2	no	—
593	D₈	—	4	2	no	—
594	D₈	—	4	1	no	—
595	D₈	—	4	4	no	—
596	M₁₆	—	2	4	no	—
597	M₁₆	—	4	2	no	—
598	C₂×C₈	—	2	2	no	—
599	C₂×C₈	—	2	2	no	—
600	C₂×C₈	—	4	1	no	—
601	C₂×C₈	—	4	1	no	—
602	C₂×C₈	—	4	1	no	—
603	C₂×C₈	—	4	1	no	—
604	C₂×C₈	—	4	2	no	—
605	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
606	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
607	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
608	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
609	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
610	C₄⋊C₄	—	2	2	no	—
611	C₄⋊C₄	—	2	4	no	—
612	C₄⋊C₄	—	2	2	no	—
613	C₄⋊C₄	—	2	4	no	—
614	C₄⋊C₄	—	2	4	no	—
615	C₄⋊C₄	—	2	4	no	—
616	C₄⋊C₄	—	2	2	no	—
617	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
618	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
619	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
620	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
621	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
622	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
623	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	—	2	2	no	—
626	C₂²⋊C₄	—	2	2	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	4	no	—
632	C₂²⋊C₄	—	2	4	no	—
633	C₂²⋊C₄	—	2	2	no	—
634	C₂²⋊C₄	—	2	4	no	—
635	C₂²⋊C₄	—	2	2	no	—
636	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
637	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
638	C₄²	—	2	4	no	—
639	C₄²	—	2	2	no	—
640	C₄²	C₂×D₄×C₁₃	1	4	yes	—
641	C₄²	C₂⁴×C₁₃	1	4	yes	—
642	C₁₃	#60934	1	1	yes	characteristic, direct product factor, Sylow
643	C₂³	—	2	2	no	—
644	C₂³	—	2	2	no	—
645	C₂³	—	2	4	no	—
646	C₂³	—	2	2	no	—
647	C₂³	—	4	1	no	—
648	C₂³	—	4	4	no	—
649	C₂³	—	8	2	no	—
650	C₂³	—	8	2	no	—
651	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
652	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
653	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
654	Q₈	—	2	2	no	—
655	Q₈	—	2	2	no	—
656	Q₈	—	8	4	no	—
657	D₄	—	2	4	no	—
658	D₄	—	2	2	no	—
659	D₄	—	2	4	no	—
660	D₄	—	2	2	no	—
661	D₄	—	4	4	no	—
662	D₄	—	4	8	no	—
663	D₄	—	4	4	no	—
664	D₄	—	4	4	no	—
665	D₄	—	8	4	no	—
666	D₄	—	8	4	no	—
667	D₄	—	8	4	no	—
668	D₄	—	8	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	2	4	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	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	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	4	no	—
681	C₂×C₄	—	4	2	no	—
682	C₂×C₄	—	4	4	no	—
683	C₂×C₄	—	8	4	no	—
684	C₂×C₄	—	8	4	no	—
685	C₂×C₄	—	8	4	no	—
686	C₂×C₄	—	8	2	no	—
687	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
688	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
689	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
690	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
691	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
692	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
693	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
694	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
695	C₈	—	2	1	no	—
696	C₈	—	2	1	no	—
697	C₈	—	2	1	no	—
698	C₈	—	2	1	no	—
699	C₈	—	2	4	no	—
700	C₂²	—	2	1	no	—
701	C₂²	—	2	1	no	—
702	C₂²	—	2	1	no	—
703	C₂²	—	2	1	no	—
704	C₂²	—	2	1	no	—
705	C₂²	—	2	1	no	—
706	C₂²	—	2	1	no	—
707	C₂²	—	4	4	no	—
708	C₂²	—	4	2	no	—
709	C₂²	—	4	4	no	—
710	C₂²	—	4	4	no	—
711	C₂²	—	4	2	no	—
712	C₂²	—	4	2	no	—
713	C₂²	—	4	4	no	—
714	C₂²	—	16	4	no	—
715	C₂²	C₁₃×#537	1	2	yes	—
716	C₂²	C₁₃×#576	1	2	yes	—
717	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
718	C₄	—	2	4	no	—
719	C₄	—	2	4	no	—
720	C₄	—	2	1	no	—
721	C₄	—	2	1	no	—
722	C₄	—	4	4	no	—
723	C₄	—	4	2	no	—
724	C₄	—	4	2	no	—
725	C₄	—	4	2	no	—
726	C₄	C₁₃×#537	1	2	yes	—
727	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
728	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
729	C₂	—	2	2	no	—
730	C₂	—	2	2	no	—
731	C₂	—	4	1	no	—
732	C₂	—	8	4	no	—
733	C₂	—	8	2	no	—
734	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
735	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
736	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3494	C₂	semidirect
2. C₁₃×#3262	C₂	semidirect
3. C₁₃×#3259	C₂	semidirect
4. C₁₃×#3257	C₂	semidirect
5. C₁₃×#3250	C₂	semidirect
6. C₁₃×#3247	C₂	semidirect
7. C₁₃×#3245	C₂	semidirect
8. C₁₃×#3083	C₂	semidirect
9. C₁₃×#3081	C₂	semidirect
10. C₁₃×#3055	C₂	semidirect
11. C₁₃×#3050	C₂	semidirect
12. C₂×C₁₃×#466	C₂	semidirect
13. C₁₃×#3045	C₂	semidirect
14. C₁₃×#3041	C₂	semidirect
15. C₂×C₁₃×#424	C₂	semidirect
28. C₁₃×#542	C₂²	semidirect
29. C₁₃×#540	C₂²	semidirect
31. C₁₃×#532	C₂²	semidirect
32. C₁₃×#529	C₂²	semidirect
38. C₁₃×#479	C₂²	semidirect
39. C₁₃×#478	C₂²	semidirect
40. C₁₃×#478	C₂²	semidirect
41. C₁₃×#478	C₂²	semidirect
42. C₁₃×#477	C₂²	semidirect
43. C₁₃×#476	C₂²	semidirect
44. C₁₃×#474	C₂²	semidirect
45. C₁₃×#474	C₂²	semidirect
46. C₁₃×#469	C₂²	semidirect
47. C₁₃×#468	C₂²	semidirect
48. C₁₃×#467	C₂²	semidirect
49. C₁₃×#467	C₂²	semidirect
54. C₁₃×#466	C₂²	semidirect
55. C₁₃×#466	C₂²	semidirect
56. C₁₃×#466	C₂²	semidirect
57. C₁₃×#465	C₂²	semidirect
58. C₁₃×#465	C₂²	semidirect
59. C₁₃×#465	C₂²	semidirect
60. C₁₃×#464	C₂²	semidirect
61. C₁₃×#463	C₂²	semidirect
62. C₁₃×#463	C₂²	semidirect
63. C₁₃×#463	C₂²	semidirect
64. C₁₃×#460	C₂²	semidirect
65. C₁₃×#459	C₂²	semidirect
66. C₁₃×#459	C₂²	semidirect
67. C₁₃×#459	C₂²	semidirect
73. C₁₃×#424	C₂²	semidirect
74. C₁₃×#424	C₂²	semidirect
75. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
76. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
186. #60934	C₁₃	direct (N × H)
275. #3494	C₂×C₁₃	semidirect
276. #3262	C₂×C₁₃	semidirect
277. #3259	C₂×C₁₃	semidirect
278. #3257	C₂×C₁₃	semidirect
279. #3250	C₂×C₁₃	semidirect
280. #3247	C₂×C₁₃	semidirect
281. #3245	C₂×C₁₃	semidirect
282. #3083	C₂×C₁₃	semidirect
283. #3081	C₂×C₁₃	semidirect
284. #3055	C₂×C₁₃	semidirect
285. #3050	C₂×C₁₃	semidirect
286. C₂×#466	C₂×C₁₃	semidirect
287. #3045	C₂×C₁₃	semidirect
288. #3041	C₂×C₁₃	semidirect
289. C₂×#424	C₂×C₁₃	semidirect
359. #542	C₂²×C₁₃	semidirect
360. #540	C₂²×C₁₃	semidirect
362. #532	C₂²×C₁₃	semidirect
363. #529	C₂²×C₁₃	semidirect
369. #479	C₂²×C₁₃	semidirect
370. #478	C₂²×C₁₃	semidirect
371. #478	C₂²×C₁₃	semidirect
372. #478	C₂²×C₁₃	semidirect
373. #477	C₂²×C₁₃	semidirect
374. #476	C₂²×C₁₃	semidirect
375. #474	C₂²×C₁₃	semidirect
376. #474	C₂²×C₁₃	semidirect
377. #469	C₂²×C₁₃	semidirect
378. #468	C₂²×C₁₃	semidirect
379. #467	C₂²×C₁₃	semidirect
380. #467	C₂²×C₁₃	semidirect
385. #466	C₂²×C₁₃	semidirect
386. #466	C₂²×C₁₃	semidirect
387. #466	C₂²×C₁₃	semidirect
388. #465	C₂²×C₁₃	semidirect
389. #465	C₂²×C₁₃	semidirect
390. #465	C₂²×C₁₃	semidirect
391. #464	C₂²×C₁₃	semidirect
392. #463	C₂²×C₁₃	semidirect
393. #463	C₂²×C₁₃	semidirect
394. #463	C₂²×C₁₃	semidirect
395. #460	C₂²×C₁₃	semidirect
396. #459	C₂²×C₁₃	semidirect
397. #459	C₂²×C₁₃	semidirect
398. #459	C₂²×C₁₃	semidirect
404. #424	C₂²×C₁₃	semidirect
405. #424	C₂²×C₁₃	semidirect
406. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
407. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
642. C₁₃	#60934	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3494	2
C₁₃×#3262	2
C₁₃×#3259	2
C₁₃×#3257	2
C₁₃×#3250	2
C₁₃×#3247	2
C₁₃×#3245	2
C₁₃×#3083	2
C₁₃×#3081	2
C₁₃×#3055	2
C₁₃×#3050	2
C₂×C₁₃×#466	2
C₁₃×#3045	2
C₁₃×#3041	2
C₂×C₁₃×#424	2
#60934	13

Subgroups — C13×#60934 #15747273

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60934 #15747273