Subgroups — C₁₃×#62015 #15748354

Order 3328.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1134 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×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
8	D₄×C₁₃×D₈	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3265	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3245	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3041	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#463	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	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
22	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
23	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
24	C₁₃×#562	—	2	1	no	—
25	C₁₃×H(3,𝔽₄)	—	2	1	no	—
26	C₁₃×#559	C₂²	1	2	yes	complemented
27	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#553	—	2	1	no	—
30	C₁₃×#553	C₂²	1	2	yes	complemented
31	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#548	C₂²	1	2	yes	complemented
33	C₁₃×#546	—	2	1	no	—
34	C₁₃×#546	—	2	2	no	—
35	C₁₃×#546	—	2	2	no	—
36	C₁₃×#546	C₂²	1	2	yes	complemented
37	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
38	D₄²×C₁₃	C₂²	1	2	yes	complemented
39	D₄²×C₁₃	C₂²	1	2	yes	complemented
40	C₁₃×#542	C₂²	1	2	yes	complemented
41	C₁₃×#540	C₂²	1	2	yes	complemented
42	C₁₃×#538	—	2	2	no	—
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#538	—	2	1	no	—
45	C₁₃×#535	C₂²	1	2	yes	complemented
46	C₁₃×#534	—	2	1	no	—
47	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#525	—	2	1	no	—
52	C₂×C₁₃×#121	—	2	1	no	—
53	C₁₃×#518	C₂²	1	2	yes	complemented
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#496	C₂²	1	2	yes	complemented
56	C₁₃×#496	C₂²	1	2	yes	complemented
57	C₁₃×#493	C₂²	1	2	yes	complemented
58	C₁₃×#490	C₂²	1	2	yes	complemented
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#488	C₂²	1	2	yes	complemented
61	C₁₃×#485	C₂²	1	2	yes	complemented
62	C₁₃×#482	C₂²	1	2	yes	complemented
63	C₁₃×#481	C₂²	1	2	yes	complemented
64	C₁₃×#479	C₂²	1	2	yes	complemented
65	C₁₃×#478	C₂²	1	2	yes	complemented
66	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#474	C₂²	1	2	yes	complemented
69	C₁₃×#474	C₂²	1	2	yes	complemented
70	C₁₃×#469	C₂²	1	2	yes	complemented
71	C₁₃×#468	C₂²	1	2	yes	complemented
72	C₁₃×#466	C₂²	1	2	yes	complemented
73	C₁₃×#466	C₂²	1	2	yes	complemented
74	C₁₃×#466	C₂²	1	2	yes	complemented
75	C₁₃×#465	C₂²	1	2	yes	complemented
76	C₁₃×#463	C₂²	1	2	yes	complemented
77	C₁₃×#463	C₂²	1	2	yes	complemented
78	C₁₃×#463	C₂²	1	2	yes	complemented
79	C₁₃×#463	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	complemented
81	C₁₃×#463	C₂²	1	2	yes	complemented
82	C₁₃×#463	C₂²	1	2	yes	complemented
83	C₁₃×#463	C₂²	1	2	yes	complemented
84	C₁₃×#460	C₂²	1	2	yes	complemented
85	C₁₃×#459	C₂²	1	2	yes	—
86	C₁₃×#459	C₂²	1	2	yes	complemented
87	C₁₃×#459	C₂²	1	2	yes	complemented
88	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#459	C₂²	1	2	yes	complemented
90	C₁₃×#459	C₂²	1	2	yes	complemented
91	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#450	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	complemented
94	C₁₃×#449	C₂²	1	2	yes	complemented
95	C₁₃×#448	C₂²	1	2	yes	complemented
96	C₁₃×#447	C₂²	1	2	yes	—
97	C₁₃×#447	C₂²	1	2	yes	complemented
98	C₁₃×#447	C₂²	1	2	yes	complemented
99	C₁₃×#447	C₂²	1	2	yes	complemented
100	C₁₃×#447	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	2	yes	complemented
102	C₁₃×#442	C₂²	1	2	yes	complemented
103	C₁₃×#442	C₂²	1	2	yes	complemented
104	C₁₃×#442	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	complemented
106	C₄×C₁₃×SD₁₆	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×#418	C₂²	1	2	yes	complemented
116	C₁₃×#416	C₂²	1	2	yes	complemented
117	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	—	2	1	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	C₂³	1	2	yes	—
123	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₃	—	2	1	no	—
125	C₂²×D₄×C₁₃	—	2	2	no	—
126	C₂²×D₄×C₁₃	—	2	2	no	—
127	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
131	C₂³×C₄×C₁₃	—	2	1	no	—
132	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
133	C₂×C₁₃×SD₁₆	—	4	2	no	—
134	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
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×D₈	—	4	2	no	—
139	C₂×C₁₃×D₈	—	4	4	no	—
140	C₂×C₁₃×D₈	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×D₈	C₂³	1	2	yes	—
146	C₂×C₁₃×D₈	C₂³	1	2	yes	—
147	C₂×C₁₃×D₈	C₂³	1	2	yes	—
148	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
149	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
154	C₁₃×#127	C₂³	1	2	yes	—
155	C₁₃×#127	C₂³	1	1	yes	characteristic
156	C₁₃×#127	C₂³	1	1	yes	characteristic
157	C₁₃×#127	C₂³	1	2	yes	—
158	C₁₃×#126	—	2	2	no	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	D₄	1	2	yes	—
161	C₁₃×#125	D₄	1	1	yes	characteristic
162	C₁₃×#125	C₂³	1	2	yes	—
163	C₁₃×#124	—	2	2	no	—
164	C₁₃×#124	—	2	2	no	—
165	C₁₃×#124	—	2	2	no	—
166	C₁₃×#124	—	2	2	no	—
167	C₁₃×#124	—	2	1	no	—
168	C₁₃×#124	—	2	1	no	—
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	—	2	1	no	—
171	C₁₃×#124	D₄	1	1	yes	characteristic
172	C₁₃×#124	C₂³	1	2	yes	—
173	C₁₃×#124	C₂³	1	2	yes	—
174	C₁₃×#124	C₂³	1	2	yes	—
175	C₁₃×#123	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
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	D₄	1	2	yes	—
183	C₁₃×C₂²⋊Q₈	—	2	1	no	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
188	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
189	C₁₃×#121	—	2	2	no	—
190	C₁₃×#121	—	2	1	no	—
191	C₁₃×#121	—	2	2	no	—
192	C₁₃×#121	—	2	1	no	—
193	C₁₃×#121	—	2	1	no	—
194	C₁₃×#121	—	2	1	no	—
195	C₁₃×#121	—	2	1	no	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	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	D₄	1	1	yes	characteristic
205	C₁₃×#121	C₂³	1	2	yes	—
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	C₁₃×#120	—	2	2	no	—
216	C₁₃×#120	—	2	2	no	—
217	C₁₃×#120	—	2	2	no	—
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₄×D₄×C₁₃	—	2	2	no	—
221	C₄×D₄×C₁₃	—	2	2	no	—
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	2	no	—
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	1	no	—
229	C₄×D₄×C₁₃	C₂³	1	2	yes	—
230	C₄×D₄×C₁₃	C₂³	1	2	yes	—
231	C₄×D₄×C₁₃	C₂³	1	2	yes	—
232	C₄×D₄×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	2	yes	—
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×#117	—	2	1	no	—
241	C₁₃×#117	C₂³	1	2	yes	—
242	C₁₃×#117	C₂³	1	2	yes	—
243	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
246	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
249	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₁₃×C₂²⋊C₄	—	2	2	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×#106	C₂³	1	2	yes	—
255	C₁₃×#106	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×#102	C₂³	1	2	yes	—
267	C₁₃×#102	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	#62015	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
285	C₂⁴×C₁₃	—	2	1	no	—
286	C₂⁴×C₁₃	—	2	2	no	—
287	C₂⁴×C₁₃	—	2	1	no	—
288	C₂⁴×C₁₃	—	2	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	2	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	—	4	1	no	—
298	C₂×Q₈×C₁₃	—	4	1	no	—
299	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
300	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
301	C₂×D₄×C₁₃	—	2	2	no	—
302	C₂×D₄×C₁₃	—	2	4	no	—
303	C₂×D₄×C₁₃	—	2	2	no	—
304	C₂×D₄×C₁₃	—	2	2	no	—
305	C₂×D₄×C₁₃	—	2	2	no	—
306	C₂×D₄×C₁₃	—	2	2	no	—
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	1	no	—
311	C₂×D₄×C₁₃	—	2	1	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	2	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	—	4	1	no	—
326	C₂×D₄×C₁₃	—	4	2	no	—
327	C₂×D₄×C₁₃	—	8	2	no	—
328	C₂×D₄×C₁₃	—	8	4	no	—
329	C₂×D₄×C₁₃	—	8	4	no	—
330	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
331	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
333	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
334	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
335	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₁₃	—	2	1	no	—
338	C₂²×C₄×C₁₃	—	2	1	no	—
339	C₂²×C₄×C₁₃	—	2	1	no	—
340	C₂²×C₄×C₁₃	—	2	1	no	—
341	C₂²×C₄×C₁₃	—	2	1	no	—
342	C₂²×C₄×C₁₃	—	2	2	no	—
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	8	2	no	—
350	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
354	C₁₃×SD₁₆	—	2	4	no	—
355	C₁₃×SD₁₆	—	4	2	no	—
356	C₁₃×SD₁₆	—	4	2	no	—
357	C₁₃×SD₁₆	—	4	2	no	—
358	C₁₃×D₈	—	2	4	no	—
359	C₁₃×D₈	—	2	4	no	—
360	C₁₃×D₈	—	4	2	no	—
361	C₁₃×D₈	—	4	2	no	—
362	C₁₃×D₈	—	4	2	no	—
363	C₁₃×D₈	—	4	2	no	—
364	C₁₃×D₈	—	4	2	no	—
365	C₁₃×D₈	—	4	2	no	—
366	C₁₃×M₁₆	—	4	2	no	—
367	C₂×C₈×C₁₃	—	4	1	no	—
368	C₂×C₈×C₁₃	—	4	2	no	—
369	C₂×C₈×C₁₃	—	4	1	no	—
370	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
371	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
372	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
373	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	1	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	—	2	1	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
382	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
383	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
384	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
385	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
386	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
387	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
388	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
389	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
390	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	2	no	—
393	C₁₃×C₂²⋊C₄	—	2	1	no	—
394	C₁₃×C₂²⋊C₄	—	2	2	no	—
395	C₁₃×C₂²⋊C₄	—	2	2	no	—
396	C₁₃×C₂²⋊C₄	—	2	1	no	—
397	C₁₃×C₂²⋊C₄	—	2	2	no	—
398	C₁₃×C₂²⋊C₄	—	2	1	no	—
399	C₁₃×C₂²⋊C₄	—	2	2	no	—
400	C₁₃×C₂²⋊C₄	—	2	1	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	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	2	no	—
408	C₁₃×C₂²⋊C₄	—	2	2	no	—
409	C₁₃×C₂²⋊C₄	—	2	2	no	—
410	C₁₃×C₂²⋊C₄	—	2	2	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
418	C₄²×C₁₃	—	2	2	no	—
419	C₄²×C₁₃	—	2	2	no	—
420	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
421	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
422	C₄²×C₁₃	C₂⁴	1	2	yes	—
423	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
425	#3558	C₂×C₁₃	1	1	yes	characteristic, complemented
426	#3519	C₂×C₁₃	1	1	yes	characteristic, complemented
427	#3399	C₂×C₁₃	1	2	yes	complemented
428	#3370	C₂×C₁₃	1	2	yes	complemented
429	#3319	C₂×C₁₃	1	2	yes	complemented
430	#3318	C₂×C₁₃	1	2	yes	complemented
431	#3301	C₂×C₁₃	1	2	yes	complemented
432	D₄×D₈	C₂×C₁₃	1	2	yes	complemented
433	#3265	C₂×C₁₃	1	2	yes	complemented
434	#3264	C₂×C₁₃	1	2	yes	complemented
435	#3257	C₂×C₁₃	1	2	yes	complemented
436	#3245	C₂×C₁₃	1	1	yes	characteristic, complemented
437	#3220	C₂×C₁₃	1	2	yes	complemented
438	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
439	#3118	C₂×C₁₃	1	2	yes	complemented
440	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#3041	C₂×C₁₃	1	2	yes	complemented
442	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
443	#2992	C₂×C₁₃	1	1	yes	characteristic, complemented
444	C₂³×C₁₃	—	2	1	no	—
445	C₂³×C₁₃	—	2	2	no	—
446	C₂³×C₁₃	—	2	1	no	—
447	C₂³×C₁₃	—	2	2	no	—
448	C₂³×C₁₃	—	2	2	no	—
449	C₂³×C₁₃	—	4	2	no	—
450	C₂³×C₁₃	—	4	4	no	—
451	C₂³×C₁₃	—	4	2	no	—
452	C₂³×C₁₃	—	4	2	no	—
453	C₂³×C₁₃	—	8	1	no	—
454	C₂³×C₁₃	—	8	1	no	—
455	C₂³×C₁₃	—	8	2	no	—
456	C₂³×C₁₃	—	8	2	no	—
457	C₂³×C₁₃	—	8	2	no	—
458	C₂³×C₁₃	—	8	2	no	—
459	C₂³×C₁₃	—	8	1	no	—
460	C₂³×C₁₃	—	8	2	no	—
461	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
462	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
463	Q₈×C₁₃	—	2	2	no	—
464	Q₈×C₁₃	—	2	2	no	—
465	Q₈×C₁₃	—	4	1	no	—
466	Q₈×C₁₃	—	8	1	no	—
467	Q₈×C₁₃	—	8	1	no	—
468	Q₈×C₁₃	—	8	1	no	—
469	D₄×C₁₃	—	2	4	no	—
470	D₄×C₁₃	—	2	2	no	—
471	D₄×C₁₃	—	2	2	no	—
472	D₄×C₁₃	—	2	2	no	—
473	D₄×C₁₃	—	2	1	no	—
474	D₄×C₁₃	—	2	1	no	—
475	D₄×C₁₃	—	2	1	no	—
476	D₄×C₁₃	—	2	2	no	—
477	D₄×C₁₃	—	2	2	no	—
478	D₄×C₁₃	—	2	2	no	—
479	D₄×C₁₃	—	4	1	no	—
480	D₄×C₁₃	—	4	4	no	—
481	D₄×C₁₃	—	4	2	no	—
482	D₄×C₁₃	—	4	2	no	—
483	D₄×C₁₃	—	4	4	no	—
484	D₄×C₁₃	—	4	4	no	—
485	D₄×C₁₃	—	8	1	no	—
486	D₄×C₁₃	—	8	2	no	—
487	D₄×C₁₃	—	8	2	no	—
488	D₄×C₁₃	—	8	1	no	—
489	D₄×C₁₃	—	8	2	no	—
490	D₄×C₁₃	—	8	2	no	—
491	D₄×C₁₃	—	8	2	no	—
492	D₄×C₁₃	—	8	1	no	—
493	D₄×C₁₃	—	8	1	no	—
494	D₄×C₁₃	—	8	2	no	—
495	D₄×C₁₃	—	8	2	no	—
496	D₄×C₁₃	—	8	2	no	—
497	D₄×C₁₃	—	8	2	no	—
498	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	4	1	no	—
510	C₂×C₄×C₁₃	—	4	2	no	—
511	C₂×C₄×C₁₃	—	4	2	no	—
512	C₂×C₄×C₁₃	—	8	1	no	—
513	C₂×C₄×C₁₃	—	8	1	no	—
514	C₂×C₄×C₁₃	—	8	2	no	—
515	C₂×C₄×C₁₃	—	8	2	no	—
516	C₂×C₄×C₁₃	—	8	2	no	—
517	C₂×C₄×C₁₃	—	8	2	no	—
518	C₂×C₄×C₁₃	—	8	2	no	—
519	C₂×C₄×C₁₃	—	8	2	no	—
520	C₂×C₄×C₁₃	—	8	1	no	—
521	C₂×C₄×C₁₃	—	8	1	no	—
522	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
523	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
526	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
530	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
531	C₈×C₁₃	—	2	2	no	—
532	C₈×C₁₃	—	2	2	no	—
533	C₈×C₁₃	—	2	2	no	—
534	C₈×C₁₃	—	2	2	no	—
535	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
536	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
538	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
539	#562	—	2	1	no	—
540	H(3,𝔽₄)	—	2	1	no	—
541	#559	C₂²×C₁₃	1	2	yes	complemented
542	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
543	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
544	#553	—	2	1	no	—
545	#553	C₂²×C₁₃	1	2	yes	complemented
546	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
547	#548	C₂²×C₁₃	1	2	yes	complemented
548	#546	—	2	1	no	—
549	#546	—	2	2	no	—
550	#546	—	2	2	no	—
551	#546	C₂²×C₁₃	1	2	yes	complemented
552	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	D₄²	C₂²×C₁₃	1	2	yes	complemented
554	D₄²	C₂²×C₁₃	1	2	yes	complemented
555	#542	C₂²×C₁₃	1	2	yes	complemented
556	#540	C₂²×C₁₃	1	2	yes	complemented
557	#538	—	2	2	no	—
558	#538	—	2	2	no	—
559	#538	—	2	1	no	—
560	#535	C₂²×C₁₃	1	2	yes	complemented
561	#534	—	2	1	no	—
562	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
563	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
564	#529	C₂²×C₁₃	1	1	yes	characteristic
565	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
566	#525	—	2	1	no	—
567	C₂×#121	—	2	1	no	—
568	#518	C₂²×C₁₃	1	2	yes	complemented
569	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
570	#496	C₂²×C₁₃	1	2	yes	complemented
571	#496	C₂²×C₁₃	1	2	yes	complemented
572	#493	C₂²×C₁₃	1	2	yes	complemented
573	#490	C₂²×C₁₃	1	2	yes	complemented
574	#489	C₂²×C₁₃	1	2	yes	complemented
575	#488	C₂²×C₁₃	1	2	yes	complemented
576	#485	C₂²×C₁₃	1	2	yes	complemented
577	#482	C₂²×C₁₃	1	2	yes	complemented
578	#481	C₂²×C₁₃	1	2	yes	complemented
579	#479	C₂²×C₁₃	1	2	yes	complemented
580	#478	C₂²×C₁₃	1	2	yes	complemented
581	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#474	C₂²×C₁₃	1	2	yes	complemented
584	#474	C₂²×C₁₃	1	2	yes	complemented
585	#469	C₂²×C₁₃	1	2	yes	complemented
586	#468	C₂²×C₁₃	1	2	yes	complemented
587	#466	C₂²×C₁₃	1	2	yes	complemented
588	#466	C₂²×C₁₃	1	2	yes	complemented
589	#466	C₂²×C₁₃	1	2	yes	complemented
590	#465	C₂²×C₁₃	1	2	yes	complemented
591	#463	C₂²×C₁₃	1	2	yes	complemented
592	#463	C₂²×C₁₃	1	2	yes	complemented
593	#463	C₂²×C₁₃	1	2	yes	complemented
594	#463	C₂²×C₁₃	1	2	yes	complemented
595	#463	C₂²×C₁₃	1	2	yes	complemented
596	#463	C₂²×C₁₃	1	2	yes	complemented
597	#463	C₂²×C₁₃	1	2	yes	complemented
598	#463	C₂²×C₁₃	1	2	yes	complemented
599	#460	C₂²×C₁₃	1	2	yes	complemented
600	#459	C₂²×C₁₃	1	2	yes	—
601	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#459	C₂²×C₁₃	1	2	yes	complemented
604	#459	C₂²×C₁₃	1	2	yes	complemented
605	#459	C₂²×C₁₃	1	2	yes	complemented
606	#459	C₂²×C₁₃	1	2	yes	complemented
607	#450	C₂²×C₁₃	1	2	yes	complemented
608	#449	C₂²×C₁₃	1	2	yes	complemented
609	#449	C₂²×C₁₃	1	2	yes	complemented
610	#448	C₂²×C₁₃	1	2	yes	complemented
611	#447	C₂²×C₁₃	1	2	yes	—
612	#447	C₂²×C₁₃	1	2	yes	complemented
613	#447	C₂²×C₁₃	1	2	yes	complemented
614	#447	C₂²×C₁₃	1	2	yes	complemented
615	#447	C₂²×C₁₃	1	2	yes	complemented
616	#446	C₂²×C₁₃	1	2	yes	complemented
617	#442	C₂²×C₁₃	1	2	yes	complemented
618	#442	C₂²×C₁₃	1	2	yes	complemented
619	#442	C₂²×C₁₃	1	2	yes	complemented
620	#440	C₂²×C₁₃	1	2	yes	complemented
621	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
622	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
623	#435	C₂²×C₁₃	1	2	yes	complemented
624	#435	C₂²×C₁₃	1	2	yes	complemented
625	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
626	#433	C₂²×C₁₃	1	2	yes	complemented
627	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
628	#424	C₂²×C₁₃	1	2	yes	complemented
629	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#418	C₂²×C₁₃	1	2	yes	complemented
631	#416	C₂²×C₁₃	1	2	yes	complemented
632	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	C₂²×C₁₃	—	2	1	no	—
635	C₂²×C₁₃	—	2	1	no	—
636	C₂²×C₁₃	—	2	2	no	—
637	C₂²×C₁₃	—	2	2	no	—
638	C₂²×C₁₃	—	2	2	no	—
639	C₂²×C₁₃	—	2	2	no	—
640	C₂²×C₁₃	—	4	1	no	—
641	C₂²×C₁₃	—	4	1	no	—
642	C₂²×C₁₃	—	4	1	no	—
643	C₂²×C₁₃	—	4	2	no	—
644	C₂²×C₁₃	—	4	2	no	—
645	C₂²×C₁₃	—	4	2	no	—
646	C₂²×C₁₃	—	4	2	no	—
647	C₂²×C₁₃	—	4	1	no	—
648	C₂²×C₁₃	—	4	2	no	—
649	C₂²×C₁₃	—	4	2	no	—
650	C₂²×C₁₃	—	4	2	no	—
651	C₂²×C₁₃	—	4	2	no	—
652	C₂²×C₁₃	—	4	2	no	—
653	C₂²×C₁₃	—	4	1	no	—
654	C₂²×C₁₃	—	8	4	no	—
655	C₂²×C₁₃	—	16	2	no	—
656	C₂²×C₁₃	—	16	4	no	—
657	C₂²×C₁₃	—	16	4	no	—
658	C₂²×C₁₃	#576	1	2	yes	—
659	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
660	C₄×C₁₃	—	2	1	no	—
661	C₄×C₁₃	—	2	1	no	—
662	C₄×C₁₃	—	2	2	no	—
663	C₄×C₁₃	—	2	2	no	—
664	C₄×C₁₃	—	2	1	no	—
665	C₄×C₁₃	—	2	1	no	—
666	C₄×C₁₃	—	2	1	no	—
667	C₄×C₁₃	—	2	2	no	—
668	C₄×C₁₃	—	4	1	no	—
669	C₄×C₁₃	—	4	1	no	—
670	C₄×C₁₃	—	4	2	no	—
671	C₄×C₁₃	—	4	2	no	—
672	C₄×C₁₃	—	4	2	no	—
673	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
674	C₄×C₁₃	#585	1	1	yes	characteristic
675	C₂×#41	—	2	1	no	—
676	C₂×#41	—	2	1	no	—
677	C₂×#41	—	2	1	no	—
678	C₂×#41	C₂³×C₁₃	1	2	yes	—
679	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
680	C₂²×D₄	—	2	1	no	—
681	C₂²×D₄	—	2	2	no	—
682	C₂²×D₄	—	2	2	no	—
683	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
684	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
685	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
686	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
687	C₂³×C₄	—	2	1	no	—
688	AGL(1,ℤ/8)	—	4	4	no	—
689	C₂×SD₁₆	—	4	2	no	—
690	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
691	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
692	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
693	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
694	C₂×D₈	—	4	2	no	—
695	C₂×D₈	—	4	4	no	—
696	C₂×D₈	C₂³×C₁₃	1	2	yes	—
697	C₂×D₈	C₂³×C₁₃	1	2	yes	—
698	C₂×D₈	C₂³×C₁₃	1	2	yes	—
699	C₂×D₈	C₂³×C₁₃	1	2	yes	—
700	C₂×D₈	C₂³×C₁₃	1	2	yes	—
701	C₂×D₈	C₂³×C₁₃	1	2	yes	—
702	C₂×D₈	C₂³×C₁₃	1	2	yes	—
703	C₂×D₈	C₂³×C₁₃	1	2	yes	—
704	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
706	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
707	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
708	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
710	#127	C₂³×C₁₃	1	1	yes	characteristic
711	#127	C₂³×C₁₃	1	1	yes	characteristic
712	#127	C₂³×C₁₃	1	2	yes	—
713	#127	C₂³×C₁₃	1	2	yes	—
714	#126	—	2	2	no	—
715	#126	—	2	2	no	—
716	#126	D₄×C₁₃	1	2	yes	—
717	#125	D₄×C₁₃	1	1	yes	characteristic
718	#125	C₂³×C₁₃	1	2	yes	—
719	#124	—	2	2	no	—
720	#124	—	2	2	no	—
721	#124	—	2	2	no	—
722	#124	—	2	2	no	—
723	#124	—	2	1	no	—
724	#124	—	2	1	no	—
725	#124	—	2	1	no	—
726	#124	—	2	1	no	—
727	#124	D₄×C₁₃	1	1	yes	characteristic
728	#124	C₂³×C₁₃	1	2	yes	—
729	#124	C₂³×C₁₃	1	2	yes	—
730	#124	C₂³×C₁₃	1	2	yes	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	#123	D₄×C₁₃	1	2	yes	—
739	C₂²⋊Q₈	—	2	1	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
744	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
745	#121	—	2	2	no	—
746	#121	—	2	1	no	—
747	#121	—	2	2	no	—
748	#121	—	2	1	no	—
749	#121	—	2	1	no	—
750	#121	—	2	1	no	—
751	#121	—	2	1	no	—
752	#121	—	2	2	no	—
753	#121	—	2	2	no	—
754	#121	—	2	2	no	—
755	#121	—	2	2	no	—
756	#121	—	2	2	no	—
757	#121	—	2	2	no	—
758	#121	—	2	2	no	—
759	#121	—	2	2	no	—
760	#121	D₄×C₁₃	1	1	yes	characteristic
761	#121	C₂³×C₁₃	1	2	yes	—
762	#121	C₂³×C₁₃	1	2	yes	—
763	#121	C₂³×C₁₃	1	2	yes	—
764	#121	C₂³×C₁₃	1	2	yes	—
765	#121	C₂³×C₁₃	1	2	yes	—
766	#120	—	2	2	no	—
767	#120	—	2	2	no	—
768	#120	—	2	2	no	—
769	#120	—	2	2	no	—
770	#120	—	2	2	no	—
771	#120	—	2	2	no	—
772	#120	—	2	2	no	—
773	#120	—	2	2	no	—
774	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
775	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₄×D₄	—	2	2	no	—
777	C₄×D₄	—	2	2	no	—
778	C₄×D₄	—	2	2	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	2	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
786	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
787	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
788	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
789	C₄×D₄	C₂³×C₁₃	1	2	yes	—
790	C₄×D₄	C₂³×C₁₃	1	2	yes	—
791	C₄×D₄	C₂³×C₁₃	1	2	yes	—
792	C₄×D₄	C₂³×C₁₃	1	2	yes	—
793	C₄×D₄	C₂³×C₁₃	1	2	yes	—
794	C₄×D₄	C₂³×C₁₃	1	2	yes	—
795	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
796	#117	—	2	1	no	—
797	#117	C₂³×C₁₃	1	2	yes	—
798	#117	C₂³×C₁₃	1	2	yes	—
799	C₂×C₄⋊C₄	—	2	1	no	—
800	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	—	2	1	no	—
802	C₂×C₂²⋊C₄	—	2	1	no	—
803	C₂×C₂²⋊C₄	—	2	1	no	—
804	C₂×C₂²⋊C₄	—	2	2	no	—
805	C₂×C₂²⋊C₄	—	2	2	no	—
806	C₂×C₂²⋊C₄	—	2	2	no	—
807	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
808	#107	C₂³×C₁₃	1	2	yes	—
809	#107	C₂³×C₁₃	1	2	yes	—
810	#106	C₂³×C₁₃	1	2	yes	—
811	#106	C₂³×C₁₃	1	2	yes	—
812	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
813	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
814	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
815	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
816	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
817	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
818	#103	C₂³×C₁₃	1	2	yes	—
819	#103	C₂³×C₁₃	1	2	yes	—
820	#103	C₂³×C₁₃	1	2	yes	—
821	#103	C₂³×C₁₃	1	2	yes	—
822	#102	C₂³×C₁₃	1	2	yes	—
823	#102	C₂³×C₁₃	1	2	yes	—
824	#102	C₂³×C₁₃	1	2	yes	—
825	#102	C₂³×C₁₃	1	2	yes	—
826	#102	C₂³×C₁₃	1	2	yes	—
827	#102	C₂³×C₁₃	1	2	yes	—
828	#102	C₂³×C₁₃	1	2	yes	—
829	#102	C₂³×C₁₃	1	2	yes	—
830	#102	C₂³×C₁₃	1	2	yes	—
831	#102	C₂³×C₁₃	1	2	yes	—
832	#102	C₂³×C₁₃	1	2	yes	—
833	#102	C₂³×C₁₃	1	2	yes	—
834	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
835	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
836	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
837	#97	C₂³×C₁₃	1	2	yes	—
838	#97	C₂³×C₁₃	1	2	yes	—
839	C₄×C₈	C₂³×C₁₃	1	2	yes	—
840	C₂×C₁₃	—	2	2	no	—
841	C₂×C₁₃	—	4	2	no	—
842	C₂×C₁₃	—	4	2	no	—
843	C₂×C₁₃	—	8	1	no	—
844	C₂×C₁₃	—	8	2	no	—
845	C₂×C₁₃	—	8	2	no	—
846	C₂×C₁₃	—	8	2	no	—
847	C₂×C₁₃	#3488	1	1	yes	characteristic
848	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
849	C₂×C₁₃	#3585	1	1	yes	characteristic
850	C₂⁴	—	2	1	no	—
851	C₂⁴	—	2	2	no	—
852	C₂⁴	—	2	1	no	—
853	C₂⁴	—	2	2	no	—
854	#41	—	4	2	no	—
855	#41	—	4	2	no	—
856	#41	—	8	2	no	—
857	#41	—	8	2	no	—
858	#41	—	8	2	no	—
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	1	no	—
861	C₂×Q₈	—	2	1	no	—
862	C₂×Q₈	—	4	1	no	—
863	C₂×Q₈	—	4	1	no	—
864	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
865	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
866	C₂×D₄	—	2	2	no	—
867	C₂×D₄	—	2	4	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	1	no	—
876	C₂×D₄	—	2	1	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	1	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	1	no	—
881	C₂×D₄	—	2	1	no	—
882	C₂×D₄	—	2	1	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	4	1	no	—
887	C₂×D₄	—	4	2	no	—
888	C₂×D₄	—	4	1	no	—
889	C₂×D₄	—	4	2	no	—
890	C₂×D₄	—	4	1	no	—
891	C₂×D₄	—	4	2	no	—
892	C₂×D₄	—	8	2	no	—
893	C₂×D₄	—	8	4	no	—
894	C₂×D₄	—	8	4	no	—
895	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
896	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
897	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
898	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
899	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
900	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
901	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	8	2	no	—
915	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
919	SD₁₆	—	2	4	no	—
920	SD₁₆	—	4	2	no	—
921	SD₁₆	—	4	2	no	—
922	SD₁₆	—	4	2	no	—
923	D₈	—	2	4	no	—
924	D₈	—	2	4	no	—
925	D₈	—	4	2	no	—
926	D₈	—	4	2	no	—
927	D₈	—	4	2	no	—
928	D₈	—	4	2	no	—
929	D₈	—	4	2	no	—
930	D₈	—	4	2	no	—
931	M₁₆	—	4	2	no	—
932	C₂×C₈	—	4	1	no	—
933	C₂×C₈	—	4	2	no	—
934	C₂×C₈	—	4	1	no	—
935	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
936	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
937	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
947	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
949	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
950	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
951	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
952	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
955	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
982	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
983	C₄²	—	2	2	no	—
984	C₄²	—	2	2	no	—
985	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
986	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
987	C₄²	C₂⁴×C₁₃	1	2	yes	—
988	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
990	C₁₃	#62015	1	1	yes	characteristic, direct product factor, Sylow
991	C₂³	—	2	1	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	1	no	—
996	C₂³	—	4	2	no	—
997	C₂³	—	4	4	no	—
998	C₂³	—	4	2	no	—
999	C₂³	—	4	2	no	—
1000	C₂³	—	8	1	no	—
1001	C₂³	—	8	1	no	—
1002	C₂³	—	8	2	no	—
1003	C₂³	—	8	2	no	—
1004	C₂³	—	8	2	no	—
1005	C₂³	—	8	2	no	—
1006	C₂³	—	8	1	no	—
1007	C₂³	—	8	2	no	—
1008	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1009	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1010	Q₈	—	2	2	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	4	1	no	—
1013	Q₈	—	8	1	no	—
1014	Q₈	—	8	1	no	—
1015	Q₈	—	8	1	no	—
1016	D₄	—	2	4	no	—
1017	D₄	—	2	2	no	—
1018	D₄	—	2	2	no	—
1019	D₄	—	2	2	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	2	2	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	4	1	no	—
1027	D₄	—	4	4	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	2	no	—
1030	D₄	—	4	4	no	—
1031	D₄	—	4	4	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	1	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	2	no	—
1036	D₄	—	8	1	no	—
1037	D₄	—	8	2	no	—
1038	D₄	—	8	1	no	—
1039	D₄	—	8	1	no	—
1040	D₄	—	8	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	—	8	2	no	—
1043	D₄	—	8	2	no	—
1044	D₄	—	8	2	no	—
1045	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	4	1	no	—
1057	C₂×C₄	—	4	2	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	8	1	no	—
1060	C₂×C₄	—	8	1	no	—
1061	C₂×C₄	—	8	2	no	—
1062	C₂×C₄	—	8	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	1	no	—
1068	C₂×C₄	—	8	1	no	—
1069	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1070	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1071	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1072	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1073	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1076	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1077	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1078	C₈	—	2	2	no	—
1079	C₈	—	2	2	no	—
1080	C₈	—	2	2	no	—
1081	C₈	—	2	2	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	2	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	8	4	no	—
1103	C₂²	—	16	2	no	—
1104	C₂²	—	16	4	no	—
1105	C₂²	—	16	4	no	—
1106	C₂²	C₁₃×#576	1	2	yes	—
1107	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1108	C₄	—	2	1	no	—
1109	C₄	—	2	1	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	2	1	no	—
1112	C₄	—	2	1	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	2	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1122	C₄	C₁₃×#585	1	1	yes	characteristic
1123	C₂	—	2	2	no	—
1124	C₂	—	4	2	no	—
1125	C₂	—	4	2	no	—
1126	C₂	—	8	1	no	—
1127	C₂	—	8	2	no	—
1128	C₂	—	8	2	no	—
1129	C₂	—	8	2	no	—
1130	C₂	C₁₃×#3488	1	1	yes	characteristic
1131	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1132	C₂	C₁₃×#3585	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×#3519	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3370	C₂	semidirect
5. C₁₃×#3319	C₂	semidirect
6. C₁₃×#3318	C₂	semidirect
7. C₁₃×#3301	C₂	semidirect
8. D₄×C₁₃×D₈	C₂	semidirect
9. C₁₃×#3265	C₂	semidirect
10. C₁₃×#3264	C₂	semidirect
11. C₁₃×#3257	C₂	semidirect
12. C₁₃×#3245	C₂	semidirect
13. C₁₃×#3220	C₂	semidirect
14. C₁₃×#3213	C₂	semidirect
15. C₁₃×#3118	C₂	semidirect
16. C₁₃×#3109	C₂	semidirect
17. C₁₃×#3041	C₂	semidirect
18. C₂×C₁₃×#463	C₂	semidirect
19. C₁₃×#2992	C₂	semidirect
20. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂²×C₁₃×SD₁₆	C₂²	semidirect
23. C₂²×C₁₃×D₈	C₂²	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#555	C₂²	semidirect
28. C₁₃×#554	C₂²	semidirect
30. C₁₃×#553	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
32. C₁₃×#548	C₂²	semidirect
36. C₁₃×#546	C₂²	semidirect
37. D₄²×C₁₃	C₂²	semidirect
38. D₄²×C₁₃	C₂²	semidirect
39. D₄²×C₁₃	C₂²	semidirect
40. C₁₃×#542	C₂²	semidirect
41. C₁₃×#540	C₂²	semidirect
45. C₁₃×#535	C₂²	semidirect
47. C₁₃×#532	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
50. C₂×C₁₃×#124	C₂²	semidirect
53. C₁₃×#518	C₂²	semidirect
54. C₂×C₄×D₄×C₁₃	C₂²	semidirect
55. C₁₃×#496	C₂²	semidirect
56. C₁₃×#496	C₂²	semidirect
57. C₁₃×#493	C₂²	semidirect
58. C₁₃×#490	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
60. C₁₃×#488	C₂²	semidirect
61. C₁₃×#485	C₂²	semidirect
62. C₁₃×#482	C₂²	semidirect
63. C₁₃×#481	C₂²	semidirect
64. C₁₃×#479	C₂²	semidirect
65. C₁₃×#478	C₂²	semidirect
66. C₁₃×#476	C₂²	semidirect
67. C₁₃×#476	C₂²	semidirect
68. C₁₃×#474	C₂²	semidirect
69. C₁₃×#474	C₂²	semidirect
70. C₁₃×#469	C₂²	semidirect
71. C₁₃×#468	C₂²	semidirect
72. C₁₃×#466	C₂²	semidirect
73. C₁₃×#466	C₂²	semidirect
74. C₁₃×#466	C₂²	semidirect
75. C₁₃×#465	C₂²	semidirect
76. C₁₃×#463	C₂²	semidirect
77. C₁₃×#463	C₂²	semidirect
78. C₁₃×#463	C₂²	semidirect
79. C₁₃×#463	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#463	C₂²	semidirect
82. C₁₃×#463	C₂²	semidirect
83. C₁₃×#463	C₂²	semidirect
84. C₁₃×#460	C₂²	semidirect
86. C₁₃×#459	C₂²	semidirect
87. C₁₃×#459	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
89. C₁₃×#459	C₂²	semidirect
90. C₁₃×#459	C₂²	semidirect
91. C₁₃×#459	C₂²	semidirect
92. C₁₃×#450	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#448	C₂²	semidirect
97. C₁₃×#447	C₂²	semidirect
98. C₁₃×#447	C₂²	semidirect
99. C₁₃×#447	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#442	C₂²	semidirect
103. C₁₃×#442	C₂²	semidirect
104. C₁₃×#442	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₄×C₁₃×SD₁₆	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×#418	C₂²	semidirect
116. C₁₃×#416	C₂²	semidirect
117. C₂×C₁₃×#103	C₂²	semidirect
118. C₂×C₁₃×#102	C₂²	semidirect
284. #62015	C₁₃	direct (N × H)
425. #3558	C₂×C₁₃	semidirect
426. #3519	C₂×C₁₃	semidirect
427. #3399	C₂×C₁₃	semidirect
428. #3370	C₂×C₁₃	semidirect
429. #3319	C₂×C₁₃	semidirect
430. #3318	C₂×C₁₃	semidirect
431. #3301	C₂×C₁₃	semidirect
432. D₄×D₈	C₂×C₁₃	semidirect
433. #3265	C₂×C₁₃	semidirect
434. #3264	C₂×C₁₃	semidirect
435. #3257	C₂×C₁₃	semidirect
436. #3245	C₂×C₁₃	semidirect
437. #3220	C₂×C₁₃	semidirect
438. #3213	C₂×C₁₃	semidirect
439. #3118	C₂×C₁₃	semidirect
440. #3109	C₂×C₁₃	semidirect
441. #3041	C₂×C₁₃	semidirect
442. C₂×#463	C₂×C₁₃	semidirect
443. #2992	C₂×C₁₃	semidirect
535. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
536. C₂²×SD₁₆	C₂²×C₁₃	semidirect
538. C₂²×D₈	C₂²×C₁₃	semidirect
541. #559	C₂²×C₁₃	semidirect
542. #555	C₂²×C₁₃	semidirect
543. #554	C₂²×C₁₃	semidirect
545. #553	C₂²×C₁₃	semidirect
546. #550	C₂²×C₁₃	semidirect
547. #548	C₂²×C₁₃	semidirect
551. #546	C₂²×C₁₃	semidirect
552. D₄²	C₂²×C₁₃	semidirect
553. D₄²	C₂²×C₁₃	semidirect
554. D₄²	C₂²×C₁₃	semidirect
555. #542	C₂²×C₁₃	semidirect
556. #540	C₂²×C₁₃	semidirect
560. #535	C₂²×C₁₃	semidirect
562. #532	C₂²×C₁₃	semidirect
563. #532	C₂²×C₁₃	semidirect
565. C₂×#124	C₂²×C₁₃	semidirect
568. #518	C₂²×C₁₃	semidirect
569. C₂×C₄×D₄	C₂²×C₁₃	semidirect
570. #496	C₂²×C₁₃	semidirect
571. #496	C₂²×C₁₃	semidirect
572. #493	C₂²×C₁₃	semidirect
573. #490	C₂²×C₁₃	semidirect
574. #489	C₂²×C₁₃	semidirect
575. #488	C₂²×C₁₃	semidirect
576. #485	C₂²×C₁₃	semidirect
577. #482	C₂²×C₁₃	semidirect
578. #481	C₂²×C₁₃	semidirect
579. #479	C₂²×C₁₃	semidirect
580. #478	C₂²×C₁₃	semidirect
581. #476	C₂²×C₁₃	semidirect
582. #476	C₂²×C₁₃	semidirect
583. #474	C₂²×C₁₃	semidirect
584. #474	C₂²×C₁₃	semidirect
585. #469	C₂²×C₁₃	semidirect
586. #468	C₂²×C₁₃	semidirect
587. #466	C₂²×C₁₃	semidirect
588. #466	C₂²×C₁₃	semidirect
589. #466	C₂²×C₁₃	semidirect
590. #465	C₂²×C₁₃	semidirect
591. #463	C₂²×C₁₃	semidirect
592. #463	C₂²×C₁₃	semidirect
593. #463	C₂²×C₁₃	semidirect
594. #463	C₂²×C₁₃	semidirect
595. #463	C₂²×C₁₃	semidirect
596. #463	C₂²×C₁₃	semidirect
597. #463	C₂²×C₁₃	semidirect
598. #463	C₂²×C₁₃	semidirect
599. #460	C₂²×C₁₃	semidirect
601. #459	C₂²×C₁₃	semidirect
602. #459	C₂²×C₁₃	semidirect
603. #459	C₂²×C₁₃	semidirect
604. #459	C₂²×C₁₃	semidirect
605. #459	C₂²×C₁₃	semidirect
606. #459	C₂²×C₁₃	semidirect
607. #450	C₂²×C₁₃	semidirect
608. #449	C₂²×C₁₃	semidirect
609. #449	C₂²×C₁₃	semidirect
610. #448	C₂²×C₁₃	semidirect
612. #447	C₂²×C₁₃	semidirect
613. #447	C₂²×C₁₃	semidirect
614. #447	C₂²×C₁₃	semidirect
615. #447	C₂²×C₁₃	semidirect
616. #446	C₂²×C₁₃	semidirect
617. #442	C₂²×C₁₃	semidirect
618. #442	C₂²×C₁₃	semidirect
619. #442	C₂²×C₁₃	semidirect
620. #440	C₂²×C₁₃	semidirect
621. C₄×SD₁₆	C₂²×C₁₃	semidirect
622. C₄×D₈	C₂²×C₁₃	semidirect
623. #435	C₂²×C₁₃	semidirect
624. #435	C₂²×C₁₃	semidirect
625. C₈×D₄	C₂²×C₁₃	semidirect
626. #433	C₂²×C₁₃	semidirect
627. #432	C₂²×C₁₃	semidirect
628. #424	C₂²×C₁₃	semidirect
629. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
630. #418	C₂²×C₁₃	semidirect
631. #416	C₂²×C₁₃	semidirect
632. C₂×#103	C₂²×C₁₃	semidirect
633. C₂×#102	C₂²×C₁₃	semidirect
990. C₁₃	#62015	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×#3519	2
C₁₃×#3399	2
C₁₃×#3370	2
C₁₃×#3319	2
C₁₃×#3318	2
C₁₃×#3301	2
D₄×C₁₃×D₈	2
C₁₃×#3265	2
C₁₃×#3264	2
C₁₃×#3257	2
C₁₃×#3245	2
C₁₃×#3220	2
C₁₃×#3213	2
C₁₃×#3118	2
C₁₃×#3109	2
C₁₃×#3041	2
C₂×C₁₃×#463	2
C₁₃×#2992	2
#62015	13

Subgroups — C13×#62015 #15748354

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62015 #15748354