Subgroups — C₁₃×#62022 #15748361

Order 3328.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3375	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3294	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3285	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3245	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3045	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2992	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
22	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
24	C₁₃×#562	—	2	1	no	—
25	C₁₃×H(3,𝔽₄)	—	2	1	no	—
26	C₁₃×#559	—	2	1	no	—
27	C₁₃×#559	C₂²	1	2	yes	—
28	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
29	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#554	—	2	1	no	—
31	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#548	C₂²	1	2	yes	—
34	C₁₃×#548	C₂²	1	2	yes	complemented
35	C₁₃×#547	—	2	2	no	—
36	C₁₃×#547	C₂²	1	2	yes	complemented
37	C₁₃×#546	—	2	2	no	—
38	C₁₃×#546	C₂²	1	2	yes	—
39	D₄²×C₁₃	C₂²	1	2	yes	—
40	C₁₃×#542	—	2	2	no	—
41	C₁₃×#542	C₂²	1	2	yes	—
42	C₁₃×#542	C₂²	1	2	yes	complemented
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#538	—	2	1	no	—
45	C₁₃×#535	C₂²	1	2	yes	—
46	C₁₃×#534	—	2	1	no	—
47	C₁₃×#532	—	2	1	no	—
48	C₁₃×#532	C₂²	1	1	yes	characteristic
49	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#529	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
53	C₁₃×#520	C₂²	1	2	yes	complemented
54	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#496	C₂²	1	2	yes	—
56	C₁₃×#496	C₂²	1	2	yes	complemented
57	C₁₃×#495	C₂²	1	2	yes	complemented
58	C₁₃×#489	C₂²	1	2	yes	complemented
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#486	C₂²	1	2	yes	—
61	C₁₃×#484	C₂²	1	2	yes	complemented
62	C₁₃×#480	C₂²	1	2	yes	—
63	C₁₃×#480	C₂²	1	2	yes	complemented
64	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#477	C₂²	1	2	yes	complemented
66	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#474	C₂²	1	2	yes	complemented
68	C₁₃×#474	C₂²	1	2	yes	complemented
69	C₁₃×#474	C₂²	1	2	yes	complemented
70	C₁₃×#468	C₂²	1	2	yes	—
71	C₁₃×#468	C₂²	1	2	yes	complemented
72	C₁₃×#467	C₂²	1	2	yes	complemented
73	C₁₃×#466	C₂²	1	2	yes	—
74	C₁₃×#466	C₂²	1	2	yes	complemented
75	C₁₃×#466	C₂²	1	2	yes	complemented
76	C₁₃×#464	C₂²	1	2	yes	complemented
77	C₁₃×#464	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#464	C₂²	1	2	yes	complemented
80	C₁₃×#464	C₂²	1	2	yes	complemented
81	C₁₃×#464	C₂²	1	2	yes	complemented
82	C₁₃×#463	C₂²	1	2	yes	complemented
83	C₁₃×#463	C₂²	1	2	yes	complemented
84	C₁₃×#463	C₂²	1	2	yes	complemented
85	C₁₃×#463	C₂²	1	2	yes	complemented
86	C₁₃×#460	C₂²	1	2	yes	—
87	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#459	C₂²	1	2	yes	—
90	C₁₃×#459	C₂²	1	2	yes	complemented
91	C₁₃×#459	C₂²	1	2	yes	complemented
92	C₁₃×#452	C₂²	1	2	yes	complemented
93	C₁₃×#452	C₂²	1	2	yes	complemented
94	C₁₃×#450	C₂²	1	2	yes	complemented
95	C₁₃×#449	C₂²	1	2	yes	—
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#448	C₂²	1	2	yes	complemented
98	C₁₃×#448	C₂²	1	2	yes	complemented
99	C₁₃×#447	C₂²	1	2	yes	—
100	C₁₃×#447	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	2	yes	complemented
102	C₁₃×#440	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₁₃×#440	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	complemented
106	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
107	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#435	C₂²	1	2	yes	complemented
110	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
111	C₁₃×#433	C₂²	1	2	yes	complemented
112	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#424	C₂²	1	2	yes	complemented
114	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#417	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
119	C₂×C₁₃×#41	—	2	2	no	—
120	C₂×C₁₃×#41	—	2	1	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	C₂³	1	2	yes	—
123	C₂×C₁₃×#41	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃	—	2	2	no	—
127	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
130	C₁₃×#135	—	4	4	no	—
131	C₂×C₁₃×Q₁₆	—	4	2	no	—
132	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
133	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
134	C₂×C₁₃×SD₁₆	—	4	2	no	—
135	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
136	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
137	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
138	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
139	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
141	C₂×C₁₃×D₈	C₂³	1	2	yes	—
142	C₂×C₁₃×D₈	C₂³	1	2	yes	—
143	C₂×C₁₃×D₈	C₂³	1	2	yes	—
144	C₂×C₁₃×D₈	C₂³	1	2	yes	—
145	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
146	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
148	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₁₃×C₄⋊Q₈	—	2	1	no	—
150	C₁₃×C₄⋊Q₈	—	2	2	no	—
151	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
152	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₁₃×#127	—	2	1	no	—
155	C₁₃×#127	C₂³	1	2	yes	—
156	C₁₃×#127	C₂³	1	1	yes	characteristic
157	C₁₃×#127	C₂³	1	1	yes	characteristic
158	C₁₃×#126	—	2	2	no	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	D₄	1	2	yes	—
161	C₁₃×#125	—	2	1	no	—
162	C₁₃×#125	D₄	1	1	yes	characteristic
163	C₁₃×#124	—	2	1	no	—
164	C₁₃×#124	—	2	2	no	—
165	C₁₃×#124	—	2	2	no	—
166	C₁₃×#124	—	2	2	no	—
167	C₁₃×#124	—	2	2	no	—
168	C₁₃×#124	—	2	2	no	—
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	—	2	1	no	—
171	C₁₃×#124	—	2	1	no	—
172	C₁₃×#124	—	2	1	no	—
173	C₁₃×#124	D₄	1	1	yes	characteristic
174	C₁₃×#124	C₂³	1	2	yes	—
175	C₁₃×#124	C₂³	1	2	yes	—
176	C₁₃×#124	C₂³	1	2	yes	—
177	C₁₃×#124	C₂³	1	2	yes	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	D₄	1	2	yes	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
194	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	D₄	1	1	yes	characteristic
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#120	—	2	2	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₁₃×#120	—	2	2	no	—
213	C₁₃×#120	—	2	2	no	—
214	C₁₃×#120	—	2	2	no	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	1	no	—
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	C₂³	1	2	yes	—
236	C₄×D₄×C₁₃	C₂³	1	2	yes	—
237	C₄×D₄×C₁₃	C₂³	1	2	yes	—
238	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₁₃×#117	—	2	2	no	—
242	C₁₃×#117	C₂³	1	2	yes	—
243	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₄²×C₁₃	—	2	1	no	—
251	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
252	C₁₃×#107	C₂³	1	2	yes	—
253	C₁₃×#107	C₂³	1	2	yes	—
254	C₁₃×#107	C₂³	1	2	yes	—
255	C₁₃×#107	C₂³	1	2	yes	—
256	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
257	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
258	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
260	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
261	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₃×#103	C₂³	1	2	yes	—
263	C₁₃×#103	C₂³	1	2	yes	—
264	C₁₃×#103	C₂³	1	2	yes	—
265	C₁₃×#103	C₂³	1	2	yes	—
266	C₁₃×#103	C₂³	1	2	yes	—
267	C₁₃×#103	C₂³	1	2	yes	—
268	C₁₃×#102	C₂³	1	2	yes	—
269	C₁₃×#102	C₂³	1	2	yes	—
270	C₁₃×#102	C₂³	1	2	yes	—
271	C₁₃×#102	C₂³	1	2	yes	—
272	C₁₃×#102	C₂³	1	2	yes	—
273	C₁₃×#102	C₂³	1	2	yes	—
274	C₁₃×#102	C₂³	1	2	yes	—
275	C₁₃×#102	C₂³	1	2	yes	—
276	C₁₃×#102	C₂³	1	2	yes	—
277	C₁₃×#102	C₂³	1	2	yes	—
278	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₁₃×#97	C₂³	1	2	yes	—
282	C₁₃×#97	C₂³	1	2	yes	—
283	C₄×C₈×C₁₃	C₂³	1	2	yes	—
284	#62022	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
285	C₂⁴×C₁₃	—	2	1	no	—
286	C₂⁴×C₁₃	—	2	2	no	—
287	C₁₃×#41	—	2	4	no	—
288	C₁₃×#41	—	4	2	no	—
289	C₁₃×#41	—	4	2	no	—
290	C₁₃×#41	—	4	2	no	—
291	C₁₃×#41	—	8	2	no	—
292	C₁₃×#41	—	8	2	no	—
293	C₁₃×#41	—	8	4	no	—
294	C₂×Q₈×C₁₃	—	2	1	no	—
295	C₂×Q₈×C₁₃	—	2	1	no	—
296	C₂×Q₈×C₁₃	—	2	1	no	—
297	C₂×Q₈×C₁₃	—	2	2	no	—
298	C₂×Q₈×C₁₃	—	2	1	no	—
299	C₂×Q₈×C₁₃	—	2	2	no	—
300	C₂×Q₈×C₁₃	—	4	1	no	—
301	C₂×Q₈×C₁₃	—	4	1	no	—
302	C₂×Q₈×C₁₃	—	4	1	no	—
303	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
304	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
305	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂×D₄×C₁₃	—	2	2	no	—
308	C₂×D₄×C₁₃	—	2	2	no	—
309	C₂×D₄×C₁₃	—	2	2	no	—
310	C₂×D₄×C₁₃	—	2	2	no	—
311	C₂×D₄×C₁₃	—	2	2	no	—
312	C₂×D₄×C₁₃	—	2	2	no	—
313	C₂×D₄×C₁₃	—	2	1	no	—
314	C₂×D₄×C₁₃	—	2	2	no	—
315	C₂×D₄×C₁₃	—	2	1	no	—
316	C₂×D₄×C₁₃	—	2	1	no	—
317	C₂×D₄×C₁₃	—	2	1	no	—
318	C₂×D₄×C₁₃	—	2	2	no	—
319	C₂×D₄×C₁₃	—	2	2	no	—
320	C₂×D₄×C₁₃	—	2	1	no	—
321	C₂×D₄×C₁₃	—	4	1	no	—
322	C₂×D₄×C₁₃	—	4	2	no	—
323	C₂×D₄×C₁₃	—	4	1	no	—
324	C₂×D₄×C₁₃	—	4	2	no	—
325	C₂×D₄×C₁₃	—	8	4	no	—
326	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
327	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
329	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
330	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₁₃	—	2	1	no	—
332	C₂²×C₄×C₁₃	—	2	1	no	—
333	C₂²×C₄×C₁₃	—	2	1	no	—
334	C₂²×C₄×C₁₃	—	2	2	no	—
335	C₂²×C₄×C₁₃	—	2	2	no	—
336	C₂²×C₄×C₁₃	—	2	2	no	—
337	C₂²×C₄×C₁₃	—	2	2	no	—
338	C₂²×C₄×C₁₃	—	2	2	no	—
339	C₂²×C₄×C₁₃	—	2	2	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
345	C₁₃×Q₁₆	—	2	4	no	—
346	C₁₃×Q₁₆	—	4	2	no	—
347	C₁₃×SD₁₆	—	2	4	no	—
348	C₁₃×SD₁₆	—	2	4	no	—
349	C₁₃×SD₁₆	—	4	2	no	—
350	C₁₃×SD₁₆	—	4	2	no	—
351	C₁₃×SD₁₆	—	4	2	no	—
352	C₁₃×SD₁₆	—	4	2	no	—
353	C₁₃×D₈	—	4	2	no	—
354	C₁₃×D₈	—	4	2	no	—
355	C₁₃×D₈	—	4	2	no	—
356	C₁₃×D₈	—	4	2	no	—
357	C₁₃×M₁₆	—	4	2	no	—
358	C₂×C₈×C₁₃	—	4	1	no	—
359	C₂×C₈×C₁₃	—	4	1	no	—
360	C₂×C₈×C₁₃	—	4	2	no	—
361	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
362	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
363	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
364	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
365	C₁₃×C₄⋊C₄	—	2	1	no	—
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	2	no	—
368	C₁₃×C₄⋊C₄	—	2	1	no	—
369	C₁₃×C₄⋊C₄	—	2	1	no	—
370	C₁₃×C₄⋊C₄	—	2	1	no	—
371	C₁₃×C₄⋊C₄	—	2	1	no	—
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
379	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
380	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
381	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
382	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
383	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
384	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
386	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
387	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
388	C₁₃×C₂²⋊C₄	—	2	2	no	—
389	C₁₃×C₂²⋊C₄	—	2	2	no	—
390	C₁₃×C₂²⋊C₄	—	2	2	no	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	2	no	—
393	C₁₃×C₂²⋊C₄	—	2	2	no	—
394	C₁₃×C₂²⋊C₄	—	2	2	no	—
395	C₁₃×C₂²⋊C₄	—	2	2	no	—
396	C₁₃×C₂²⋊C₄	—	2	2	no	—
397	C₁₃×C₂²⋊C₄	—	2	2	no	—
398	C₁₃×C₂²⋊C₄	—	2	2	no	—
399	C₁₃×C₂²⋊C₄	—	2	2	no	—
400	C₁₃×C₂²⋊C₄	—	2	2	no	—
401	C₁₃×C₂²⋊C₄	—	2	2	no	—
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	2	no	—
404	C₁₃×C₂²⋊C₄	—	2	2	no	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
406	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
411	C₄²×C₁₃	—	2	1	no	—
412	C₄²×C₁₃	—	2	1	no	—
413	C₄²×C₁₃	—	2	1	no	—
414	C₄²×C₁₃	—	2	1	no	—
415	C₄²×C₁₃	—	2	2	no	—
416	C₄²×C₁₃	—	2	2	no	—
417	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
418	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
419	C₄²×C₁₃	C₂⁴	1	2	yes	—
420	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
422	#3558	C₂×C₁₃	1	1	yes	characteristic, complemented
423	#3522	C₂×C₁₃	1	1	yes	characteristic, complemented
424	#3403	C₂×C₁₃	1	2	yes	complemented
425	#3375	C₂×C₁₃	1	2	yes	complemented
426	#3314	C₂×C₁₃	1	2	yes	complemented
427	#3308	C₂×C₁₃	1	2	yes	complemented
428	#3294	C₂×C₁₃	1	2	yes	complemented
429	#3285	C₂×C₁₃	1	2	yes	complemented
430	#3268	C₂×C₁₃	1	2	yes	complemented
431	#3265	C₂×C₁₃	1	2	yes	complemented
432	#3262	C₂×C₁₃	1	2	yes	complemented
433	#3245	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#3224	C₂×C₁₃	1	2	yes	complemented
435	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
436	#3124	C₂×C₁₃	1	2	yes	complemented
437	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
438	#3045	C₂×C₁₃	1	2	yes	complemented
439	C₂×#464	C₂×C₁₃	1	1	yes	characteristic, complemented
440	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
441	C₂³×C₁₃	—	2	2	no	—
442	C₂³×C₁₃	—	2	2	no	—
443	C₂³×C₁₃	—	2	2	no	—
444	C₂³×C₁₃	—	4	2	no	—
445	C₂³×C₁₃	—	8	1	no	—
446	C₂³×C₁₃	—	8	2	no	—
447	C₂³×C₁₃	—	8	2	no	—
448	C₂³×C₁₃	—	8	1	no	—
449	C₂³×C₁₃	—	8	2	no	—
450	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
451	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
452	Q₈×C₁₃	—	2	1	no	—
453	Q₈×C₁₃	—	2	1	no	—
454	Q₈×C₁₃	—	2	2	no	—
455	Q₈×C₁₃	—	2	1	no	—
456	Q₈×C₁₃	—	2	2	no	—
457	Q₈×C₁₃	—	4	1	no	—
458	Q₈×C₁₃	—	4	2	no	—
459	Q₈×C₁₃	—	8	1	no	—
460	Q₈×C₁₃	—	8	1	no	—
461	Q₈×C₁₃	—	8	1	no	—
462	Q₈×C₁₃	—	8	2	no	—
463	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
464	D₄×C₁₃	—	2	4	no	—
465	D₄×C₁₃	—	2	2	no	—
466	D₄×C₁₃	—	2	2	no	—
467	D₄×C₁₃	—	2	2	no	—
468	D₄×C₁₃	—	2	2	no	—
469	D₄×C₁₃	—	2	2	no	—
470	D₄×C₁₃	—	2	2	no	—
471	D₄×C₁₃	—	4	1	no	—
472	D₄×C₁₃	—	4	4	no	—
473	D₄×C₁₃	—	4	2	no	—
474	D₄×C₁₃	—	4	4	no	—
475	D₄×C₁₃	—	4	4	no	—
476	D₄×C₁₃	—	8	1	no	—
477	D₄×C₁₃	—	8	2	no	—
478	D₄×C₁₃	—	8	2	no	—
479	D₄×C₁₃	—	8	1	no	—
480	D₄×C₁₃	—	8	2	no	—
481	D₄×C₁₃	—	8	1	no	—
482	D₄×C₁₃	—	8	1	no	—
483	D₄×C₁₃	—	8	2	no	—
484	D₄×C₁₃	—	8	2	no	—
485	D₄×C₁₃	—	8	2	no	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	1	no	—
489	C₂×C₄×C₁₃	—	2	2	no	—
490	C₂×C₄×C₁₃	—	2	1	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	1	no	—
493	C₂×C₄×C₁₃	—	2	1	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	4	1	no	—
499	C₂×C₄×C₁₃	—	4	4	no	—
500	C₂×C₄×C₁₃	—	4	2	no	—
501	C₂×C₄×C₁₃	—	4	2	no	—
502	C₂×C₄×C₁₃	—	8	2	no	—
503	C₂×C₄×C₁₃	—	8	2	no	—
504	C₂×C₄×C₁₃	—	8	2	no	—
505	C₂×C₄×C₁₃	—	8	2	no	—
506	C₂×C₄×C₁₃	—	8	2	no	—
507	C₂×C₄×C₁₃	—	8	1	no	—
508	C₂×C₄×C₁₃	—	8	2	no	—
509	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
512	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
518	C₈×C₁₃	—	2	2	no	—
519	C₈×C₁₃	—	2	2	no	—
520	C₈×C₁₃	—	2	2	no	—
521	C₈×C₁₃	—	2	2	no	—
522	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
523	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
524	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
525	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
526	#562	—	2	1	no	—
527	H(3,𝔽₄)	—	2	1	no	—
528	#559	—	2	1	no	—
529	#559	C₂²×C₁₃	1	2	yes	—
530	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
531	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
532	#554	—	2	1	no	—
533	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
534	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
535	#548	C₂²×C₁₃	1	2	yes	—
536	#548	C₂²×C₁₃	1	2	yes	complemented
537	#547	—	2	2	no	—
538	#547	C₂²×C₁₃	1	2	yes	complemented
539	#546	—	2	2	no	—
540	#546	C₂²×C₁₃	1	2	yes	—
541	D₄²	C₂²×C₁₃	1	2	yes	—
542	#542	—	2	2	no	—
543	#542	C₂²×C₁₃	1	2	yes	—
544	#542	C₂²×C₁₃	1	2	yes	complemented
545	#538	—	2	2	no	—
546	#538	—	2	1	no	—
547	#535	C₂²×C₁₃	1	2	yes	—
548	#534	—	2	1	no	—
549	#532	—	2	1	no	—
550	#532	C₂²×C₁₃	1	1	yes	characteristic
551	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
552	#529	—	2	1	no	—
553	#529	C₂²×C₁₃	1	1	yes	characteristic
554	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
555	#520	C₂²×C₁₃	1	2	yes	complemented
556	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
557	#496	C₂²×C₁₃	1	2	yes	—
558	#496	C₂²×C₁₃	1	2	yes	complemented
559	#495	C₂²×C₁₃	1	2	yes	complemented
560	#489	C₂²×C₁₃	1	2	yes	complemented
561	#489	C₂²×C₁₃	1	2	yes	complemented
562	#486	C₂²×C₁₃	1	2	yes	—
563	#484	C₂²×C₁₃	1	2	yes	complemented
564	#480	C₂²×C₁₃	1	2	yes	—
565	#480	C₂²×C₁₃	1	2	yes	complemented
566	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	#477	C₂²×C₁₃	1	2	yes	complemented
569	#474	C₂²×C₁₃	1	2	yes	complemented
570	#474	C₂²×C₁₃	1	2	yes	complemented
571	#474	C₂²×C₁₃	1	2	yes	complemented
572	#468	C₂²×C₁₃	1	2	yes	—
573	#468	C₂²×C₁₃	1	2	yes	complemented
574	#467	C₂²×C₁₃	1	2	yes	complemented
575	#466	C₂²×C₁₃	1	2	yes	—
576	#466	C₂²×C₁₃	1	2	yes	complemented
577	#466	C₂²×C₁₃	1	2	yes	complemented
578	#464	C₂²×C₁₃	1	2	yes	complemented
579	#464	C₂²×C₁₃	1	2	yes	complemented
580	#464	C₂²×C₁₃	1	2	yes	complemented
581	#464	C₂²×C₁₃	1	2	yes	complemented
582	#464	C₂²×C₁₃	1	2	yes	complemented
583	#464	C₂²×C₁₃	1	2	yes	complemented
584	#463	C₂²×C₁₃	1	2	yes	complemented
585	#463	C₂²×C₁₃	1	2	yes	complemented
586	#463	C₂²×C₁₃	1	2	yes	complemented
587	#463	C₂²×C₁₃	1	2	yes	complemented
588	#460	C₂²×C₁₃	1	2	yes	—
589	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
590	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#459	C₂²×C₁₃	1	2	yes	—
592	#459	C₂²×C₁₃	1	2	yes	complemented
593	#459	C₂²×C₁₃	1	2	yes	complemented
594	#452	C₂²×C₁₃	1	2	yes	complemented
595	#452	C₂²×C₁₃	1	2	yes	complemented
596	#450	C₂²×C₁₃	1	2	yes	complemented
597	#449	C₂²×C₁₃	1	2	yes	—
598	#449	C₂²×C₁₃	1	2	yes	complemented
599	#448	C₂²×C₁₃	1	2	yes	complemented
600	#448	C₂²×C₁₃	1	2	yes	complemented
601	#447	C₂²×C₁₃	1	2	yes	—
602	#447	C₂²×C₁₃	1	2	yes	complemented
603	#446	C₂²×C₁₃	1	2	yes	complemented
604	#440	C₂²×C₁₃	1	2	yes	complemented
605	#440	C₂²×C₁₃	1	2	yes	complemented
606	#440	C₂²×C₁₃	1	2	yes	complemented
607	#440	C₂²×C₁₃	1	2	yes	complemented
608	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
609	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
610	#435	C₂²×C₁₃	1	2	yes	complemented
611	#435	C₂²×C₁₃	1	2	yes	complemented
612	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
613	#433	C₂²×C₁₃	1	2	yes	complemented
614	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#424	C₂²×C₁₃	1	2	yes	complemented
616	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#417	C₂²×C₁₃	1	2	yes	complemented
618	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
620	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
621	C₂²×C₁₃	—	2	1	no	—
622	C₂²×C₁₃	—	2	1	no	—
623	C₂²×C₁₃	—	2	2	no	—
624	C₂²×C₁₃	—	2	2	no	—
625	C₂²×C₁₃	—	2	2	no	—
626	C₂²×C₁₃	—	4	2	no	—
627	C₂²×C₁₃	—	4	2	no	—
628	C₂²×C₁₃	—	4	2	no	—
629	C₂²×C₁₃	—	4	2	no	—
630	C₂²×C₁₃	—	4	2	no	—
631	C₂²×C₁₃	—	4	2	no	—
632	C₂²×C₁₃	—	4	2	no	—
633	C₂²×C₁₃	—	4	2	no	—
634	C₂²×C₁₃	—	4	2	no	—
635	C₂²×C₁₃	—	16	2	no	—
636	C₂²×C₁₃	—	16	4	no	—
637	C₂²×C₁₃	#576	1	2	yes	—
638	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
639	C₄×C₁₃	—	2	1	no	—
640	C₄×C₁₃	—	2	1	no	—
641	C₄×C₁₃	—	2	2	no	—
642	C₄×C₁₃	—	2	2	no	—
643	C₄×C₁₃	—	2	1	no	—
644	C₄×C₁₃	—	2	2	no	—
645	C₄×C₁₃	—	2	1	no	—
646	C₄×C₁₃	—	2	1	no	—
647	C₄×C₁₃	—	2	2	no	—
648	C₄×C₁₃	—	4	1	no	—
649	C₄×C₁₃	—	4	2	no	—
650	C₄×C₁₃	—	4	1	no	—
651	C₄×C₁₃	—	4	1	no	—
652	C₄×C₁₃	—	4	2	no	—
653	C₄×C₁₃	—	4	2	no	—
654	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
655	C₄×C₁₃	#585	1	1	yes	characteristic
656	C₂×#41	—	2	2	no	—
657	C₂×#41	—	2	1	no	—
658	C₂×#41	—	2	1	no	—
659	C₂×#41	C₂³×C₁₃	1	2	yes	—
660	C₂×#41	C₂³×C₁₃	1	2	yes	—
661	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
662	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
663	C₂²×D₄	—	2	2	no	—
664	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
665	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
666	AGL(1,ℤ/8)	—	4	4	no	—
667	#135	—	4	4	no	—
668	C₂×Q₁₆	—	4	2	no	—
669	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
670	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
671	C₂×SD₁₆	—	4	2	no	—
672	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
673	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
674	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
675	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
676	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
677	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
678	C₂×D₈	C₂³×C₁₃	1	2	yes	—
679	C₂×D₈	C₂³×C₁₃	1	2	yes	—
680	C₂×D₈	C₂³×C₁₃	1	2	yes	—
681	C₂×D₈	C₂³×C₁₃	1	2	yes	—
682	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
683	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
684	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
685	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
686	C₄⋊Q₈	—	2	1	no	—
687	C₄⋊Q₈	—	2	2	no	—
688	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
689	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
690	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
691	#127	—	2	1	no	—
692	#127	C₂³×C₁₃	1	1	yes	characteristic
693	#127	C₂³×C₁₃	1	1	yes	characteristic
694	#127	C₂³×C₁₃	1	2	yes	—
695	#126	—	2	2	no	—
696	#126	—	2	2	no	—
697	#126	D₄×C₁₃	1	2	yes	—
698	#125	—	2	1	no	—
699	#125	D₄×C₁₃	1	1	yes	characteristic
700	#124	—	2	1	no	—
701	#124	—	2	2	no	—
702	#124	—	2	2	no	—
703	#124	—	2	2	no	—
704	#124	—	2	2	no	—
705	#124	—	2	2	no	—
706	#124	—	2	1	no	—
707	#124	—	2	1	no	—
708	#124	—	2	1	no	—
709	#124	—	2	1	no	—
710	#124	D₄×C₁₃	1	1	yes	characteristic
711	#124	C₂³×C₁₃	1	2	yes	—
712	#124	C₂³×C₁₃	1	2	yes	—
713	#124	C₂³×C₁₃	1	2	yes	—
714	#124	C₂³×C₁₃	1	2	yes	—
715	#123	—	2	2	no	—
716	#123	—	2	2	no	—
717	#123	—	2	2	no	—
718	#123	—	2	2	no	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	—	2	2	no	—
723	#123	D₄×C₁₃	1	2	yes	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	—	2	2	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
731	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
732	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
733	#121	—	2	2	no	—
734	#121	—	2	2	no	—
735	#121	—	2	1	no	—
736	#121	—	2	1	no	—
737	#121	—	2	2	no	—
738	#121	—	2	2	no	—
739	#121	—	2	2	no	—
740	#121	—	2	2	no	—
741	#121	—	2	2	no	—
742	#121	D₄×C₁₃	1	1	yes	characteristic
743	#121	C₂³×C₁₃	1	2	yes	—
744	#121	C₂³×C₁₃	1	2	yes	—
745	#121	C₂³×C₁₃	1	2	yes	—
746	#121	C₂³×C₁₃	1	2	yes	—
747	#120	—	2	2	no	—
748	#120	—	2	2	no	—
749	#120	—	2	2	no	—
750	#120	—	2	2	no	—
751	#120	—	2	2	no	—
752	C₄×Q₈	—	2	1	no	—
753	C₄×Q₈	—	2	1	no	—
754	C₄×Q₈	—	2	1	no	—
755	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
756	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
757	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
759	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
760	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
761	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	1	no	—
764	C₄×D₄	—	2	1	no	—
765	C₄×D₄	—	2	2	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	—	2	2	no	—
768	C₄×D₄	—	2	2	no	—
769	C₄×D₄	—	2	2	no	—
770	C₄×D₄	—	2	1	no	—
771	C₄×D₄	—	2	1	no	—
772	C₄×D₄	C₂³×C₁₃	1	2	yes	—
773	C₄×D₄	C₂³×C₁₃	1	2	yes	—
774	C₄×D₄	C₂³×C₁₃	1	2	yes	—
775	C₄×D₄	C₂³×C₁₃	1	2	yes	—
776	C₄×D₄	C₂³×C₁₃	1	2	yes	—
777	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
778	#117	—	2	2	no	—
779	#117	C₂³×C₁₃	1	2	yes	—
780	C₂×C₄⋊C₄	—	2	1	no	—
781	C₂×C₄⋊C₄	—	2	2	no	—
782	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
784	C₂×C₂²⋊C₄	—	2	1	no	—
785	C₂×C₂²⋊C₄	—	2	1	no	—
786	C₂×C₂²⋊C₄	—	2	2	no	—
787	C₂×C₄²	—	2	1	no	—
788	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
789	#107	C₂³×C₁₃	1	2	yes	—
790	#107	C₂³×C₁₃	1	2	yes	—
791	#107	C₂³×C₁₃	1	2	yes	—
792	#107	C₂³×C₁₃	1	2	yes	—
793	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
794	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
795	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
797	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
798	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
799	#103	C₂³×C₁₃	1	2	yes	—
800	#103	C₂³×C₁₃	1	2	yes	—
801	#103	C₂³×C₁₃	1	2	yes	—
802	#103	C₂³×C₁₃	1	2	yes	—
803	#103	C₂³×C₁₃	1	2	yes	—
804	#103	C₂³×C₁₃	1	2	yes	—
805	#102	C₂³×C₁₃	1	2	yes	—
806	#102	C₂³×C₁₃	1	2	yes	—
807	#102	C₂³×C₁₃	1	2	yes	—
808	#102	C₂³×C₁₃	1	2	yes	—
809	#102	C₂³×C₁₃	1	2	yes	—
810	#102	C₂³×C₁₃	1	2	yes	—
811	#102	C₂³×C₁₃	1	2	yes	—
812	#102	C₂³×C₁₃	1	2	yes	—
813	#102	C₂³×C₁₃	1	2	yes	—
814	#102	C₂³×C₁₃	1	2	yes	—
815	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
816	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
817	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
818	#97	C₂³×C₁₃	1	2	yes	—
819	#97	C₂³×C₁₃	1	2	yes	—
820	C₄×C₈	C₂³×C₁₃	1	2	yes	—
821	C₂×C₁₃	—	2	2	no	—
822	C₂×C₁₃	—	4	2	no	—
823	C₂×C₁₃	—	8	2	no	—
824	C₂×C₁₃	—	8	2	no	—
825	C₂×C₁₃	—	8	2	no	—
826	C₂×C₁₃	#3488	1	1	yes	characteristic
827	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
828	C₂×C₁₃	#3586	1	1	yes	characteristic
829	C₂⁴	—	2	1	no	—
830	C₂⁴	—	2	2	no	—
831	#41	—	2	4	no	—
832	#41	—	4	2	no	—
833	#41	—	4	2	no	—
834	#41	—	4	2	no	—
835	#41	—	8	2	no	—
836	#41	—	8	2	no	—
837	#41	—	8	4	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	2	no	—
842	C₂×Q₈	—	2	1	no	—
843	C₂×Q₈	—	2	2	no	—
844	C₂×Q₈	—	4	1	no	—
845	C₂×Q₈	—	4	1	no	—
846	C₂×Q₈	—	4	1	no	—
847	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
848	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
849	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
850	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	2	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	1	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	1	no	—
860	C₂×D₄	—	2	1	no	—
861	C₂×D₄	—	2	1	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	1	no	—
865	C₂×D₄	—	4	1	no	—
866	C₂×D₄	—	4	2	no	—
867	C₂×D₄	—	4	1	no	—
868	C₂×D₄	—	4	2	no	—
869	C₂×D₄	—	8	4	no	—
870	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
871	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
872	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
873	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
874	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
886	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
889	Q₁₆	—	2	4	no	—
890	Q₁₆	—	4	2	no	—
891	SD₁₆	—	2	4	no	—
892	SD₁₆	—	2	4	no	—
893	SD₁₆	—	4	2	no	—
894	SD₁₆	—	4	2	no	—
895	SD₁₆	—	4	2	no	—
896	SD₁₆	—	4	2	no	—
897	D₈	—	4	2	no	—
898	D₈	—	4	2	no	—
899	D₈	—	4	2	no	—
900	D₈	—	4	2	no	—
901	M₁₆	—	4	2	no	—
902	C₂×C₈	—	4	1	no	—
903	C₂×C₈	—	4	1	no	—
904	C₂×C₈	—	4	2	no	—
905	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
906	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
907	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
908	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	1	no	—
913	C₄⋊C₄	—	2	1	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	1	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	1	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
923	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
924	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
925	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
926	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
927	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
928	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
929	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
930	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
931	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
932	C₂²⋊C₄	—	2	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	2	no	—
939	C₂²⋊C₄	—	2	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	2	no	—
945	C₂²⋊C₄	—	2	2	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	2	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
951	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
952	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
953	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
954	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
955	C₄²	—	2	1	no	—
956	C₄²	—	2	1	no	—
957	C₄²	—	2	1	no	—
958	C₄²	—	2	1	no	—
959	C₄²	—	2	2	no	—
960	C₄²	—	2	2	no	—
961	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
962	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
963	C₄²	C₂⁴×C₁₃	1	2	yes	—
964	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₁₃	#62022	1	1	yes	characteristic, direct product factor, Sylow
967	C₂³	—	2	2	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	2	no	—
970	C₂³	—	4	2	no	—
971	C₂³	—	8	1	no	—
972	C₂³	—	8	2	no	—
973	C₂³	—	8	2	no	—
974	C₂³	—	8	1	no	—
975	C₂³	—	8	2	no	—
976	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
977	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
978	Q₈	—	2	1	no	—
979	Q₈	—	2	1	no	—
980	Q₈	—	2	2	no	—
981	Q₈	—	2	1	no	—
982	Q₈	—	2	2	no	—
983	Q₈	—	4	1	no	—
984	Q₈	—	4	2	no	—
985	Q₈	—	8	1	no	—
986	Q₈	—	8	1	no	—
987	Q₈	—	8	1	no	—
988	Q₈	—	8	2	no	—
989	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
990	D₄	—	2	4	no	—
991	D₄	—	2	2	no	—
992	D₄	—	2	2	no	—
993	D₄	—	2	2	no	—
994	D₄	—	2	2	no	—
995	D₄	—	2	2	no	—
996	D₄	—	2	2	no	—
997	D₄	—	4	1	no	—
998	D₄	—	4	4	no	—
999	D₄	—	4	2	no	—
1000	D₄	—	4	4	no	—
1001	D₄	—	4	4	no	—
1002	D₄	—	8	2	no	—
1003	D₄	—	8	1	no	—
1004	D₄	—	8	2	no	—
1005	D₄	—	8	1	no	—
1006	D₄	—	8	2	no	—
1007	D₄	—	8	1	no	—
1008	D₄	—	8	1	no	—
1009	D₄	—	8	2	no	—
1010	D₄	—	8	2	no	—
1011	D₄	—	8	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	4	1	no	—
1025	C₂×C₄	—	4	4	no	—
1026	C₂×C₄	—	4	2	no	—
1027	C₂×C₄	—	4	2	no	—
1028	C₂×C₄	—	8	2	no	—
1029	C₂×C₄	—	8	2	no	—
1030	C₂×C₄	—	8	2	no	—
1031	C₂×C₄	—	8	2	no	—
1032	C₂×C₄	—	8	2	no	—
1033	C₂×C₄	—	8	1	no	—
1034	C₂×C₄	—	8	2	no	—
1035	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1036	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1037	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1038	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1039	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1040	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1041	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1042	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1043	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1044	C₈	—	2	2	no	—
1045	C₈	—	2	2	no	—
1046	C₈	—	2	2	no	—
1047	C₈	—	2	2	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	1	no	—
1050	C₂²	—	2	2	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	16	2	no	—
1063	C₂²	—	16	4	no	—
1064	C₂²	C₁₃×#576	1	2	yes	—
1065	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1066	C₄	—	2	1	no	—
1067	C₄	—	2	1	no	—
1068	C₄	—	2	2	no	—
1069	C₄	—	2	1	no	—
1070	C₄	—	2	1	no	—
1071	C₄	—	2	2	no	—
1072	C₄	—	2	2	no	—
1073	C₄	—	2	1	no	—
1074	C₄	—	2	2	no	—
1075	C₄	—	4	1	no	—
1076	C₄	—	4	1	no	—
1077	C₄	—	4	2	no	—
1078	C₄	—	4	2	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	2	no	—
1081	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1082	C₄	C₁₃×#585	1	1	yes	characteristic
1083	C₂	—	2	2	no	—
1084	C₂	—	4	2	no	—
1085	C₂	—	8	2	no	—
1086	C₂	—	8	2	no	—
1087	C₂	—	8	2	no	—
1088	C₂	C₁₃×#3488	1	1	yes	characteristic
1089	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1090	C₂	C₁₃×#3586	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 ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3558	C₂	semidirect
2. C₁₃×#3522	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3375	C₂	semidirect
5. C₁₃×#3314	C₂	semidirect
6. C₁₃×#3308	C₂	semidirect
7. C₁₃×#3294	C₂	semidirect
8. C₁₃×#3285	C₂	semidirect
9. C₁₃×#3268	C₂	semidirect
10. C₁₃×#3265	C₂	semidirect
11. C₁₃×#3262	C₂	semidirect
12. C₁₃×#3245	C₂	semidirect
13. C₁₃×#3224	C₂	semidirect
14. C₁₃×#3213	C₂	semidirect
15. C₁₃×#3124	C₂	semidirect
16. C₁₃×#3112	C₂	semidirect
17. C₁₃×#3045	C₂	semidirect
18. C₂×C₁₃×#464	C₂	semidirect
19. C₁₃×#2992	C₂	semidirect
20. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂×C₁₃×#135	C₂²	semidirect
22. C₂²×C₁₃×Q₁₆	C₂²	semidirect
28. C₁₃×#559	C₂²	semidirect
29. Q₈²×C₁₃	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
32. C₁₃×#550	C₂²	semidirect
34. C₁₃×#548	C₂²	semidirect
36. C₁₃×#547	C₂²	semidirect
42. C₁₃×#542	C₂²	semidirect
49. C₁₃×#532	C₂²	semidirect
53. C₁₃×#520	C₂²	semidirect
54. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
56. C₁₃×#496	C₂²	semidirect
57. C₁₃×#495	C₂²	semidirect
58. C₁₃×#489	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
61. C₁₃×#484	C₂²	semidirect
63. C₁₃×#480	C₂²	semidirect
64. C₁₃×#477	C₂²	semidirect
65. C₁₃×#477	C₂²	semidirect
66. C₁₃×#477	C₂²	semidirect
67. C₁₃×#474	C₂²	semidirect
68. C₁₃×#474	C₂²	semidirect
69. C₁₃×#474	C₂²	semidirect
71. C₁₃×#468	C₂²	semidirect
72. C₁₃×#467	C₂²	semidirect
74. C₁₃×#466	C₂²	semidirect
75. C₁₃×#466	C₂²	semidirect
76. C₁₃×#464	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#464	C₂²	semidirect
80. C₁₃×#464	C₂²	semidirect
81. C₁₃×#464	C₂²	semidirect
82. C₁₃×#463	C₂²	semidirect
83. C₁₃×#463	C₂²	semidirect
84. C₁₃×#463	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
87. C₁₃×#460	C₂²	semidirect
88. C₁₃×#460	C₂²	semidirect
90. C₁₃×#459	C₂²	semidirect
91. C₁₃×#459	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
93. C₁₃×#452	C₂²	semidirect
94. C₁₃×#450	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
97. C₁₃×#448	C₂²	semidirect
98. C₁₃×#448	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#440	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₁₃×#440	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₄×C₁₃×Q₁₆	C₂²	semidirect
107. C₄×C₁₃×D₈	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#435	C₂²	semidirect
110. C₈×D₄×C₁₃	C₂²	semidirect
111. C₁₃×#433	C₂²	semidirect
112. C₁₃×#432	C₂²	semidirect
113. C₁₃×#424	C₂²	semidirect
114. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
115. C₁₃×#417	C₂²	semidirect
116. C₂×C₁₃×#103	C₂²	semidirect
118. C₂×C₁₃×#102	C₂²	semidirect
284. #62022	C₁₃	direct (N × H)
422. #3558	C₂×C₁₃	semidirect
423. #3522	C₂×C₁₃	semidirect
424. #3403	C₂×C₁₃	semidirect
425. #3375	C₂×C₁₃	semidirect
426. #3314	C₂×C₁₃	semidirect
427. #3308	C₂×C₁₃	semidirect
428. #3294	C₂×C₁₃	semidirect
429. #3285	C₂×C₁₃	semidirect
430. #3268	C₂×C₁₃	semidirect
431. #3265	C₂×C₁₃	semidirect
432. #3262	C₂×C₁₃	semidirect
433. #3245	C₂×C₁₃	semidirect
434. #3224	C₂×C₁₃	semidirect
435. #3213	C₂×C₁₃	semidirect
436. #3124	C₂×C₁₃	semidirect
437. #3112	C₂×C₁₃	semidirect
438. #3045	C₂×C₁₃	semidirect
439. C₂×#464	C₂×C₁₃	semidirect
440. #2992	C₂×C₁₃	semidirect
522. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
523. C₂×#135	C₂²×C₁₃	semidirect
524. C₂²×Q₁₆	C₂²×C₁₃	semidirect
530. #559	C₂²×C₁₃	semidirect
531. Q₈²	C₂²×C₁₃	semidirect
533. #554	C₂²×C₁₃	semidirect
534. #550	C₂²×C₁₃	semidirect
536. #548	C₂²×C₁₃	semidirect
538. #547	C₂²×C₁₃	semidirect
544. #542	C₂²×C₁₃	semidirect
551. #532	C₂²×C₁₃	semidirect
555. #520	C₂²×C₁₃	semidirect
556. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
558. #496	C₂²×C₁₃	semidirect
559. #495	C₂²×C₁₃	semidirect
560. #489	C₂²×C₁₃	semidirect
561. #489	C₂²×C₁₃	semidirect
563. #484	C₂²×C₁₃	semidirect
565. #480	C₂²×C₁₃	semidirect
566. #477	C₂²×C₁₃	semidirect
567. #477	C₂²×C₁₃	semidirect
568. #477	C₂²×C₁₃	semidirect
569. #474	C₂²×C₁₃	semidirect
570. #474	C₂²×C₁₃	semidirect
571. #474	C₂²×C₁₃	semidirect
573. #468	C₂²×C₁₃	semidirect
574. #467	C₂²×C₁₃	semidirect
576. #466	C₂²×C₁₃	semidirect
577. #466	C₂²×C₁₃	semidirect
578. #464	C₂²×C₁₃	semidirect
579. #464	C₂²×C₁₃	semidirect
580. #464	C₂²×C₁₃	semidirect
581. #464	C₂²×C₁₃	semidirect
582. #464	C₂²×C₁₃	semidirect
583. #464	C₂²×C₁₃	semidirect
584. #463	C₂²×C₁₃	semidirect
585. #463	C₂²×C₁₃	semidirect
586. #463	C₂²×C₁₃	semidirect
587. #463	C₂²×C₁₃	semidirect
589. #460	C₂²×C₁₃	semidirect
590. #460	C₂²×C₁₃	semidirect
592. #459	C₂²×C₁₃	semidirect
593. #459	C₂²×C₁₃	semidirect
594. #452	C₂²×C₁₃	semidirect
595. #452	C₂²×C₁₃	semidirect
596. #450	C₂²×C₁₃	semidirect
598. #449	C₂²×C₁₃	semidirect
599. #448	C₂²×C₁₃	semidirect
600. #448	C₂²×C₁₃	semidirect
602. #447	C₂²×C₁₃	semidirect
603. #446	C₂²×C₁₃	semidirect
604. #440	C₂²×C₁₃	semidirect
605. #440	C₂²×C₁₃	semidirect
606. #440	C₂²×C₁₃	semidirect
607. #440	C₂²×C₁₃	semidirect
608. C₄×Q₁₆	C₂²×C₁₃	semidirect
609. C₄×D₈	C₂²×C₁₃	semidirect
610. #435	C₂²×C₁₃	semidirect
611. #435	C₂²×C₁₃	semidirect
612. C₈×D₄	C₂²×C₁₃	semidirect
613. #433	C₂²×C₁₃	semidirect
614. #432	C₂²×C₁₃	semidirect
615. #424	C₂²×C₁₃	semidirect
616. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
617. #417	C₂²×C₁₃	semidirect
618. C₂×#103	C₂²×C₁₃	semidirect
620. C₂×#102	C₂²×C₁₃	semidirect
966. C₁₃	#62022	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×#3558	2
C₁₃×#3522	2
C₁₃×#3403	2
C₁₃×#3375	2
C₁₃×#3314	2
C₁₃×#3308	2
C₁₃×#3294	2
C₁₃×#3285	2
C₁₃×#3268	2
C₁₃×#3265	2
C₁₃×#3262	2
C₁₃×#3245	2
C₁₃×#3224	2
C₁₃×#3213	2
C₁₃×#3124	2
C₁₃×#3112	2
C₁₃×#3045	2
C₂×C₁₃×#464	2
C₁₃×#2992	2
#62022	13

Subgroups — C13×#62022 #15748361

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62022 #15748361