Subgroups — C₁₃×#62598 #15748937

Order 3328.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3543	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3366	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3294	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3205	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3176	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3136	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#490	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#563	—	2	1	no	—
21	C₁₃×#562	—	2	1	no	—
22	C₁₃×#560	—	2	2	no	—
23	C₁₃×#559	C₂²	1	1	yes	characteristic
24	C₁₃×#554	C₂²	1	2	yes	complemented
25	C₁₃×#553	C₂²	1	2	yes	complemented
26	C₁₃×#553	C₂²	1	2	yes	complemented
27	C₁₃×#550	C₂²	1	1	yes	characteristic
28	C₁₃×#550	C₂²	1	1	yes	characteristic
29	C₁₃×#547	—	2	2	no	—
30	C₁₃×#547	C₂²	1	2	yes	complemented
31	C₁₃×#546	—	2	1	no	—
32	C₁₃×#546	C₂²	1	2	yes	—
33	D₄²×C₁₃	—	2	1	no	—
34	D₄²×C₁₃	C₂²	1	2	yes	—
35	D₄²×C₁₃	C₂²	1	1	yes	characteristic
36	C₁₃×#544	C₂²	1	2	yes	complemented
37	C₁₃×#540	—	2	1	no	—
38	C₁₃×#540	C₂²	1	2	yes	—
39	C₁₃×#540	C₂²	1	2	yes	complemented
40	C₁₃×#539	—	2	2	no	—
41	C₁₃×#539	—	2	1	no	—
42	C₁₃×#537	—	2	1	no	—
43	C₁₃×#535	—	2	1	no	—
44	C₁₃×#535	C₂²	1	2	yes	—
45	C₁₃×#534	—	2	2	no	—
46	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
48	C₁₃×#529	C₂²	1	1	yes	characteristic
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#499	C₂²	1	2	yes	complemented
53	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#493	C₂²	1	2	yes	complemented
55	C₁₃×#490	C₂²	1	2	yes	—
56	C₁₃×#490	C₂²	1	2	yes	complemented
57	C₁₃×#490	C₂²	1	2	yes	complemented
58	C₁₃×#490	C₂²	1	2	yes	complemented
59	C₁₃×#490	C₂²	1	2	yes	complemented
60	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#489	C₂²	1	2	yes	complemented
62	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#488	C₂²	1	2	yes	complemented
64	C₁₃×#488	C₂²	1	2	yes	complemented
65	C₁₃×#486	C₂²	1	2	yes	complemented
66	C₁₃×#486	C₂²	1	2	yes	complemented
67	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#482	C₂²	1	2	yes	complemented
70	C₁₃×#482	C₂²	1	2	yes	complemented
71	C₁₃×#481	C₂²	1	1	yes	characteristic
72	C₁₃×#481	C₂²	1	2	yes	complemented
73	C₁₃×#480	C₂²	1	1	yes	characteristic
74	C₁₃×#480	C₂²	1	2	yes	complemented
75	C₁₃×#479	C₂²	1	2	yes	complemented
76	C₁₃×#478	C₂²	1	2	yes	complemented
77	C₁₃×#478	C₂²	1	2	yes	complemented
78	C₁₃×#478	C₂²	1	2	yes	complemented
79	C₁₃×#476	C₂²	1	2	yes	complemented
80	C₁₃×#474	C₂²	1	2	yes	complemented
81	C₁₃×#469	C₂²	1	2	yes	complemented
82	C₁₃×#469	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	2	yes	—
84	C₁₃×#466	C₂²	1	2	yes	complemented
85	C₁₃×#466	C₂²	1	2	yes	complemented
86	C₁₃×#465	C₂²	1	2	yes	complemented
87	C₁₃×#463	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	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×#459	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	complemented
94	C₁₃×#449	C₂²	1	2	yes	complemented
95	C₁₃×#447	C₂²	1	2	yes	complemented
96	C₁₃×#447	C₂²	1	2	yes	complemented
97	C₁₃×#447	C₂²	1	2	yes	complemented
98	C₁₃×#447	C₂²	1	2	yes	complemented
99	C₁₃×#446	C₂²	1	2	yes	complemented
100	C₁₃×#442	C₂²	1	2	yes	complemented
101	C₁₃×#442	C₂²	1	2	yes	complemented
102	C₁₃×#442	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
105	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#418	C₂²	1	2	yes	complemented
112	C₁₃×#417	C₂²	1	2	yes	complemented
113	C₁₃×#416	C₂²	1	2	yes	complemented
114	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
117	C₁₃×#405	C₂²	1	2	yes	complemented
118	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	—	2	2	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	C₂³	1	2	yes	—
123	C₂²×D₄×C₁₃	—	2	2	no	—
124	C₂²×D₄×C₁₃	—	2	1	no	—
125	C₂²×D₄×C₁₃	—	2	1	no	—
126	C₂²×D₄×C₁₃	—	2	1	no	—
127	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
130	C₂×C₁₃×D₈	C₂³	1	2	yes	—
131	C₂×C₁₃×D₈	C₂³	1	2	yes	—
132	C₂×C₁₃×D₈	C₂³	1	2	yes	—
133	C₂×C₁₃×D₈	C₂³	1	2	yes	—
134	C₂×C₁₃×D₈	C₂³	1	2	yes	—
135	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
136	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
137	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
138	C₁₃×C₄⋊Q₈	—	2	2	no	—
139	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
140	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
141	C₁₃×#127	—	2	1	no	—
142	C₁₃×#127	—	2	1	no	—
143	C₁₃×#127	—	2	1	no	—
144	C₁₃×#127	C₂³	1	1	yes	characteristic
145	C₁₃×#127	C₂³	1	2	yes	—
146	C₁₃×#127	C₂³	1	1	yes	characteristic
147	C₁₃×#127	C₂³	1	2	yes	—
148	C₁₃×#127	C₂³	1	1	yes	characteristic
149	C₁₃×#126	—	2	2	no	—
150	C₁₃×#126	—	2	2	no	—
151	C₁₃×#126	—	2	1	no	—
152	C₁₃×#126	D₄	1	2	yes	—
153	C₁₃×#125	—	2	2	no	—
154	C₁₃×#125	—	2	1	no	—
155	C₁₃×#125	—	2	1	no	—
156	C₁₃×#125	D₄	1	1	yes	characteristic
157	C₁₃×#125	C₂³	1	2	yes	—
158	C₁₃×#125	C₂³	1	2	yes	—
159	C₁₃×#125	C₂³	1	2	yes	—
160	C₁₃×#125	C₂³	1	1	yes	characteristic
161	C₁₃×#124	—	2	1	no	—
162	C₁₃×#124	—	2	1	no	—
163	C₁₃×#124	D₄	1	1	yes	characteristic
164	C₁₃×#124	C₂³	1	2	yes	—
165	C₁₃×#124	C₂³	1	1	yes	characteristic
166	C₁₃×#123	—	2	1	no	—
167	C₁₃×#123	—	2	2	no	—
168	C₁₃×#123	—	2	2	no	—
169	C₁₃×#123	—	2	2	no	—
170	C₁₃×#123	—	2	2	no	—
171	C₁₃×#123	—	2	2	no	—
172	C₁₃×#123	—	2	2	no	—
173	C₁₃×#123	—	2	2	no	—
174	C₁₃×#123	—	2	2	no	—
175	C₁₃×#123	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	D₄	1	2	yes	—
178	C₁₃×C₂²⋊Q₈	—	2	2	no	—
179	C₁₃×C₂²⋊Q₈	—	2	2	no	—
180	C₁₃×C₂²⋊Q₈	—	2	2	no	—
181	C₁₃×C₂²⋊Q₈	—	2	2	no	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
185	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
186	C₁₃×#121	—	2	2	no	—
187	C₁₃×#121	—	2	2	no	—
188	C₁₃×#121	—	2	1	no	—
189	C₁₃×#121	—	2	2	no	—
190	C₁₃×#121	—	2	2	no	—
191	C₁₃×#121	—	2	2	no	—
192	C₁₃×#121	—	2	1	no	—
193	C₁₃×#121	—	2	1	no	—
194	C₁₃×#121	—	2	2	no	—
195	C₁₃×#121	—	2	2	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	D₄	1	1	yes	characteristic
202	C₁₃×#121	C₂³	1	2	yes	—
203	C₁₃×#121	C₂³	1	2	yes	—
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	1	yes	characteristic
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#120	—	2	2	no	—
209	C₁₃×#120	—	2	2	no	—
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	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
215	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
216	C₄×D₄×C₁₃	—	2	1	no	—
217	C₄×D₄×C₁₃	—	2	1	no	—
218	C₄×D₄×C₁₃	—	2	1	no	—
219	C₄×D₄×C₁₃	—	2	2	no	—
220	C₄×D₄×C₁₃	—	2	2	no	—
221	C₄×D₄×C₁₃	—	2	1	no	—
222	C₄×D₄×C₁₃	C₂³	1	2	yes	—
223	C₄×D₄×C₁₃	C₂³	1	2	yes	—
224	C₄×D₄×C₁₃	C₂³	1	2	yes	—
225	C₄×D₄×C₁₃	C₂³	1	2	yes	—
226	C₄×D₄×C₁₃	C₂³	1	2	yes	—
227	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₁₃	C₂³	1	2	yes	—
229	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
230	C₁₃×#117	—	2	1	no	—
231	C₁₃×#117	C₂³	1	2	yes	—
232	C₁₃×#117	C₂³	1	2	yes	—
233	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
234	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
235	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
239	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₁₃×#107	C₂³	1	2	yes	—
242	C₁₃×#107	C₂³	1	2	yes	—
243	C₁₃×#107	C₂³	1	2	yes	—
244	C₁₃×#106	C₂³	1	2	yes	—
245	C₁₃×#106	C₂³	1	2	yes	—
246	C₁₃×#106	C₂³	1	2	yes	—
247	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
248	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
249	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
250	C₁₃×#103	C₂³	1	2	yes	—
251	C₁₃×#103	C₂³	1	2	yes	—
252	C₁₃×#103	C₂³	1	2	yes	—
253	C₁₃×#102	C₂³	1	2	yes	—
254	C₁₃×#102	C₂³	1	2	yes	—
255	C₁₃×#102	C₂³	1	2	yes	—
256	C₁₃×#102	C₂³	1	2	yes	—
257	C₁₃×#102	C₂³	1	2	yes	—
258	C₁₃×#102	C₂³	1	2	yes	—
259	C₁₃×#102	C₂³	1	2	yes	—
260	C₁₃×#102	C₂³	1	2	yes	—
261	C₁₃×#102	C₂³	1	2	yes	—
262	C₁₃×#102	C₂³	1	2	yes	—
263	C₁₃×#102	C₂³	1	2	yes	—
264	C₁₃×#102	C₂³	1	2	yes	—
265	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
273	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
274	C₁₃×#97	C₂³	1	1	yes	characteristic
275	C₁₃×#97	C₂³	1	1	yes	characteristic
276	C₁₃×#97	C₂³	1	2	yes	—
277	C₁₃×#97	C₂³	1	2	yes	—
278	C₄×C₈×C₁₃	C₂³	1	2	yes	—
279	C₄×C₈×C₁₃	C₂³	1	2	yes	—
280	#62598	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂⁴×C₁₃	—	2	2	no	—
282	C₂⁴×C₁₃	—	2	2	no	—
283	C₁₃×#41	—	4	2	no	—
284	C₁₃×#41	—	4	2	no	—
285	C₁₃×#41	—	8	2	no	—
286	C₁₃×#41	—	8	4	no	—
287	C₁₃×#41	—	8	2	no	—
288	C₂×Q₈×C₁₃	—	2	2	no	—
289	C₂×Q₈×C₁₃	—	2	1	no	—
290	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
291	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
292	C₂×D₄×C₁₃	—	2	1	no	—
293	C₂×D₄×C₁₃	—	2	2	no	—
294	C₂×D₄×C₁₃	—	2	2	no	—
295	C₂×D₄×C₁₃	—	2	2	no	—
296	C₂×D₄×C₁₃	—	2	2	no	—
297	C₂×D₄×C₁₃	—	2	2	no	—
298	C₂×D₄×C₁₃	—	2	2	no	—
299	C₂×D₄×C₁₃	—	2	1	no	—
300	C₂×D₄×C₁₃	—	2	1	no	—
301	C₂×D₄×C₁₃	—	2	1	no	—
302	C₂×D₄×C₁₃	—	2	2	no	—
303	C₂×D₄×C₁₃	—	2	2	no	—
304	C₂×D₄×C₁₃	—	2	1	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	1	no	—
310	C₂×D₄×C₁₃	—	2	1	no	—
311	C₂×D₄×C₁₃	—	4	2	no	—
312	C₂×D₄×C₁₃	—	4	2	no	—
313	C₂×D₄×C₁₃	—	4	2	no	—
314	C₂×D₄×C₁₃	—	4	2	no	—
315	C₂×D₄×C₁₃	—	8	2	no	—
316	C₂×D₄×C₁₃	—	8	2	no	—
317	C₂×D₄×C₁₃	—	8	2	no	—
318	C₂×D₄×C₁₃	—	8	4	no	—
319	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
320	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
321	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
322	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
324	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₃	—	2	1	no	—
326	C₂²×C₄×C₁₃	—	2	1	no	—
327	C₂²×C₄×C₁₃	—	2	2	no	—
328	C₂²×C₄×C₁₃	—	2	1	no	—
329	C₂²×C₄×C₁₃	—	2	2	no	—
330	C₂²×C₄×C₁₃	—	2	2	no	—
331	C₂²×C₄×C₁₃	—	2	2	no	—
332	C₂²×C₄×C₁₃	—	2	2	no	—
333	C₂²×C₄×C₁₃	—	2	2	no	—
334	C₂²×C₄×C₁₃	—	2	2	no	—
335	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
336	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
337	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
339	C₁₃×SD₁₆	—	4	2	no	—
340	C₁₃×D₈	—	4	2	no	—
341	C₁₃×D₈	—	4	2	no	—
342	C₁₃×D₈	—	4	2	no	—
343	C₁₃×D₈	—	4	2	no	—
344	C₁₃×D₈	—	4	2	no	—
345	C₁₃×M₁₆	—	4	2	no	—
346	C₂×C₈×C₁₃	—	4	2	no	—
347	C₂×C₈×C₁₃	—	4	2	no	—
348	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
349	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
350	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
351	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
352	C₁₃×C₄⋊C₄	—	2	2	no	—
353	C₁₃×C₄⋊C₄	—	2	2	no	—
354	C₁₃×C₄⋊C₄	—	2	2	no	—
355	C₁₃×C₄⋊C₄	—	2	2	no	—
356	C₁₃×C₄⋊C₄	—	2	2	no	—
357	C₁₃×C₄⋊C₄	—	2	2	no	—
358	C₁₃×C₄⋊C₄	—	2	1	no	—
359	C₁₃×C₄⋊C₄	—	2	2	no	—
360	C₁₃×C₄⋊C₄	—	2	1	no	—
361	C₁₃×C₄⋊C₄	—	2	1	no	—
362	C₁₃×C₄⋊C₄	—	2	1	no	—
363	C₁₃×C₄⋊C₄	—	2	1	no	—
364	C₁₃×C₄⋊C₄	—	2	1	no	—
365	C₁₃×C₄⋊C₄	—	2	2	no	—
366	C₁₃×C₄⋊C₄	—	2	1	no	—
367	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
368	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
369	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
370	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
371	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
372	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
375	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
376	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
377	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
378	C₁₃×C₂²⋊C₄	—	2	1	no	—
379	C₁₃×C₂²⋊C₄	—	2	2	no	—
380	C₁₃×C₂²⋊C₄	—	2	2	no	—
381	C₁₃×C₂²⋊C₄	—	2	2	no	—
382	C₁₃×C₂²⋊C₄	—	2	1	no	—
383	C₁₃×C₂²⋊C₄	—	2	1	no	—
384	C₁₃×C₂²⋊C₄	—	2	1	no	—
385	C₁₃×C₂²⋊C₄	—	2	2	no	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	2	no	—
389	C₁₃×C₂²⋊C₄	—	2	2	no	—
390	C₁₃×C₂²⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
397	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
398	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
399	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
400	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
401	C₄²×C₁₃	—	2	1	no	—
402	C₄²×C₁₃	—	2	2	no	—
403	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
404	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
405	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₄²×C₁₃	C₂⁴	1	2	yes	—
407	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
408	#3559	C₂×C₁₃	1	1	yes	characteristic, complemented
409	#3543	C₂×C₁₃	1	1	yes	characteristic, complemented
410	#3370	C₂×C₁₃	1	2	yes	complemented
411	#3366	C₂×C₁₃	1	2	yes	complemented
412	#3318	C₂×C₁₃	1	2	yes	complemented
413	#3318	C₂×C₁₃	1	2	yes	complemented
414	#3309	C₂×C₁₃	1	2	yes	complemented
415	#3306	C₂×C₁₃	1	2	yes	complemented
416	#3297	C₂×C₁₃	1	2	yes	complemented
417	#3294	C₂×C₁₃	1	2	yes	complemented
418	#3241	C₂×C₁₃	1	2	yes	complemented
419	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
420	#3220	C₂×C₁₃	1	2	yes	complemented
421	#3205	C₂×C₁₃	1	1	yes	characteristic, complemented
422	#3180	C₂×C₁₃	1	1	yes	characteristic, complemented
423	#3176	C₂×C₁₃	1	2	yes	complemented
424	#3136	C₂×C₁₃	1	2	yes	complemented
425	C₂×#490	C₂×C₁₃	1	1	yes	characteristic, complemented
426	#2968	C₂×C₁₃	1	1	yes	characteristic, complemented
427	C₂³×C₁₃	—	2	2	no	—
428	C₂³×C₁₃	—	2	1	no	—
429	C₂³×C₁₃	—	2	2	no	—
430	C₂³×C₁₃	—	2	2	no	—
431	C₂³×C₁₃	—	4	4	no	—
432	C₂³×C₁₃	—	8	2	no	—
433	C₂³×C₁₃	—	8	2	no	—
434	C₂³×C₁₃	—	8	2	no	—
435	C₂³×C₁₃	—	8	2	no	—
436	C₂³×C₁₃	—	8	2	no	—
437	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
438	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
439	Q₈×C₁₃	—	2	2	no	—
440	Q₈×C₁₃	—	4	1	no	—
441	Q₈×C₁₃	—	8	1	no	—
442	Q₈×C₁₃	—	8	2	no	—
443	D₄×C₁₃	—	2	4	no	—
444	D₄×C₁₃	—	2	2	no	—
445	D₄×C₁₃	—	2	2	no	—
446	D₄×C₁₃	—	2	2	no	—
447	D₄×C₁₃	—	2	2	no	—
448	D₄×C₁₃	—	2	2	no	—
449	D₄×C₁₃	—	2	2	no	—
450	D₄×C₁₃	—	2	2	no	—
451	D₄×C₁₃	—	4	1	no	—
452	D₄×C₁₃	—	4	2	no	—
453	D₄×C₁₃	—	4	2	no	—
454	D₄×C₁₃	—	4	2	no	—
455	D₄×C₁₃	—	4	4	no	—
456	D₄×C₁₃	—	8	1	no	—
457	D₄×C₁₃	—	8	2	no	—
458	D₄×C₁₃	—	8	2	no	—
459	D₄×C₁₃	—	8	2	no	—
460	D₄×C₁₃	—	8	1	no	—
461	D₄×C₁₃	—	8	1	no	—
462	D₄×C₁₃	—	8	2	no	—
463	D₄×C₁₃	—	8	2	no	—
464	D₄×C₁₃	—	8	2	no	—
465	D₄×C₁₃	—	8	1	no	—
466	D₄×C₁₃	—	8	2	no	—
467	D₄×C₁₃	—	8	2	no	—
468	D₄×C₁₃	—	8	2	no	—
469	D₄×C₁₃	—	8	2	no	—
470	D₄×C₁₃	—	8	2	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	2	no	—
473	C₂×C₄×C₁₃	—	2	2	no	—
474	C₂×C₄×C₁₃	—	2	2	no	—
475	C₂×C₄×C₁₃	—	2	1	no	—
476	C₂×C₄×C₁₃	—	2	1	no	—
477	C₂×C₄×C₁₃	—	2	2	no	—
478	C₂×C₄×C₁₃	—	2	2	no	—
479	C₂×C₄×C₁₃	—	2	1	no	—
480	C₂×C₄×C₁₃	—	2	2	no	—
481	C₂×C₄×C₁₃	—	4	1	no	—
482	C₂×C₄×C₁₃	—	4	2	no	—
483	C₂×C₄×C₁₃	—	4	2	no	—
484	C₂×C₄×C₁₃	—	8	2	no	—
485	C₂×C₄×C₁₃	—	8	2	no	—
486	C₂×C₄×C₁₃	—	8	2	no	—
487	C₂×C₄×C₁₃	—	8	2	no	—
488	C₂×C₄×C₁₃	—	8	2	no	—
489	C₂×C₄×C₁₃	—	8	2	no	—
490	C₂×C₄×C₁₃	—	8	1	no	—
491	C₂×C₄×C₁₃	—	8	2	no	—
492	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
493	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
496	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
497	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
498	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
499	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
500	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
501	C₈×C₁₃	—	2	2	no	—
502	C₈×C₁₃	—	2	2	no	—
503	C₈×C₁₃	—	2	2	no	—
504	C₈×C₁₃	—	2	2	no	—
505	#563	—	2	1	no	—
506	#562	—	2	1	no	—
507	#560	—	2	2	no	—
508	#559	C₂²×C₁₃	1	1	yes	characteristic
509	#554	C₂²×C₁₃	1	2	yes	complemented
510	#553	C₂²×C₁₃	1	2	yes	complemented
511	#553	C₂²×C₁₃	1	2	yes	complemented
512	#550	C₂²×C₁₃	1	1	yes	characteristic
513	#550	C₂²×C₁₃	1	1	yes	characteristic
514	#547	—	2	2	no	—
515	#547	C₂²×C₁₃	1	2	yes	complemented
516	#546	—	2	1	no	—
517	#546	C₂²×C₁₃	1	2	yes	—
518	D₄²	—	2	1	no	—
519	D₄²	C₂²×C₁₃	1	2	yes	—
520	D₄²	C₂²×C₁₃	1	1	yes	characteristic
521	#544	C₂²×C₁₃	1	2	yes	complemented
522	#540	—	2	1	no	—
523	#540	C₂²×C₁₃	1	2	yes	—
524	#540	C₂²×C₁₃	1	2	yes	complemented
525	#539	—	2	2	no	—
526	#539	—	2	1	no	—
527	#537	—	2	1	no	—
528	#535	—	2	1	no	—
529	#535	C₂²×C₁₃	1	2	yes	—
530	#534	—	2	2	no	—
531	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
532	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
533	#529	C₂²×C₁₃	1	1	yes	characteristic
534	#529	C₂²×C₁₃	1	1	yes	characteristic
535	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
536	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	#499	C₂²×C₁₃	1	2	yes	complemented
538	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
539	#493	C₂²×C₁₃	1	2	yes	complemented
540	#490	C₂²×C₁₃	1	2	yes	—
541	#490	C₂²×C₁₃	1	2	yes	complemented
542	#490	C₂²×C₁₃	1	2	yes	complemented
543	#490	C₂²×C₁₃	1	2	yes	complemented
544	#490	C₂²×C₁₃	1	2	yes	complemented
545	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
546	#489	C₂²×C₁₃	1	2	yes	complemented
547	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
548	#488	C₂²×C₁₃	1	2	yes	complemented
549	#488	C₂²×C₁₃	1	2	yes	complemented
550	#486	C₂²×C₁₃	1	2	yes	complemented
551	#486	C₂²×C₁₃	1	2	yes	complemented
552	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#482	C₂²×C₁₃	1	2	yes	complemented
555	#482	C₂²×C₁₃	1	2	yes	complemented
556	#481	C₂²×C₁₃	1	1	yes	characteristic
557	#481	C₂²×C₁₃	1	2	yes	complemented
558	#480	C₂²×C₁₃	1	1	yes	characteristic
559	#480	C₂²×C₁₃	1	2	yes	complemented
560	#479	C₂²×C₁₃	1	2	yes	complemented
561	#478	C₂²×C₁₃	1	2	yes	complemented
562	#478	C₂²×C₁₃	1	2	yes	complemented
563	#478	C₂²×C₁₃	1	2	yes	complemented
564	#476	C₂²×C₁₃	1	2	yes	complemented
565	#474	C₂²×C₁₃	1	2	yes	complemented
566	#469	C₂²×C₁₃	1	2	yes	complemented
567	#469	C₂²×C₁₃	1	2	yes	complemented
568	#466	C₂²×C₁₃	1	2	yes	—
569	#466	C₂²×C₁₃	1	2	yes	complemented
570	#466	C₂²×C₁₃	1	2	yes	complemented
571	#465	C₂²×C₁₃	1	2	yes	complemented
572	#463	C₂²×C₁₃	1	2	yes	complemented
573	#463	C₂²×C₁₃	1	2	yes	complemented
574	#459	C₂²×C₁₃	1	2	yes	—
575	#459	C₂²×C₁₃	1	2	yes	complemented
576	#459	C₂²×C₁₃	1	2	yes	complemented
577	#459	C₂²×C₁₃	1	2	yes	complemented
578	#449	C₂²×C₁₃	1	2	yes	complemented
579	#449	C₂²×C₁₃	1	2	yes	complemented
580	#447	C₂²×C₁₃	1	2	yes	complemented
581	#447	C₂²×C₁₃	1	2	yes	complemented
582	#447	C₂²×C₁₃	1	2	yes	complemented
583	#447	C₂²×C₁₃	1	2	yes	complemented
584	#446	C₂²×C₁₃	1	2	yes	complemented
585	#442	C₂²×C₁₃	1	2	yes	complemented
586	#442	C₂²×C₁₃	1	2	yes	complemented
587	#442	C₂²×C₁₃	1	2	yes	complemented
588	#440	C₂²×C₁₃	1	2	yes	complemented
589	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
590	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
591	#435	C₂²×C₁₃	1	2	yes	complemented
592	#435	C₂²×C₁₃	1	2	yes	complemented
593	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
594	#433	C₂²×C₁₃	1	2	yes	complemented
595	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#418	C₂²×C₁₃	1	2	yes	complemented
597	#417	C₂²×C₁₃	1	2	yes	complemented
598	#416	C₂²×C₁₃	1	2	yes	complemented
599	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
600	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
601	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
602	#405	C₂²×C₁₃	1	2	yes	complemented
603	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	C₂²×C₁₃	—	2	1	no	—
605	C₂²×C₁₃	—	2	1	no	—
606	C₂²×C₁₃	—	2	2	no	—
607	C₂²×C₁₃	—	2	2	no	—
608	C₂²×C₁₃	—	2	2	no	—
609	C₂²×C₁₃	—	4	1	no	—
610	C₂²×C₁₃	—	4	2	no	—
611	C₂²×C₁₃	—	4	2	no	—
612	C₂²×C₁₃	—	4	2	no	—
613	C₂²×C₁₃	—	4	2	no	—
614	C₂²×C₁₃	—	4	1	no	—
615	C₂²×C₁₃	—	4	2	no	—
616	C₂²×C₁₃	—	4	2	no	—
617	C₂²×C₁₃	—	4	2	no	—
618	C₂²×C₁₃	—	4	2	no	—
619	C₂²×C₁₃	—	4	1	no	—
620	C₂²×C₁₃	—	4	2	no	—
621	C₂²×C₁₃	—	16	4	no	—
622	C₂²×C₁₃	—	16	4	no	—
623	C₂²×C₁₃	#576	1	2	yes	—
624	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
625	C₄×C₁₃	—	2	1	no	—
626	C₄×C₁₃	—	2	1	no	—
627	C₄×C₁₃	—	2	2	no	—
628	C₄×C₁₃	—	2	2	no	—
629	C₄×C₁₃	—	2	1	no	—
630	C₄×C₁₃	—	2	1	no	—
631	C₄×C₁₃	—	2	1	no	—
632	C₄×C₁₃	—	2	2	no	—
633	C₄×C₁₃	—	4	1	no	—
634	C₄×C₁₃	—	4	2	no	—
635	C₄×C₁₃	—	4	1	no	—
636	C₄×C₁₃	—	4	2	no	—
637	C₄×C₁₃	—	4	1	no	—
638	C₄×C₁₃	—	4	2	no	—
639	C₄×C₁₃	#585	1	2	yes	—
640	C₂×#41	—	2	1	no	—
641	C₂×#41	—	2	2	no	—
642	C₂×#41	—	2	1	no	—
643	C₂×#41	C₂³×C₁₃	1	2	yes	—
644	C₂²×D₄	—	2	2	no	—
645	C₂²×D₄	—	2	1	no	—
646	C₂²×D₄	—	2	1	no	—
647	C₂²×D₄	—	2	1	no	—
648	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
649	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
650	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
651	C₂×D₈	C₂³×C₁₃	1	2	yes	—
652	C₂×D₈	C₂³×C₁₃	1	2	yes	—
653	C₂×D₈	C₂³×C₁₃	1	2	yes	—
654	C₂×D₈	C₂³×C₁₃	1	2	yes	—
655	C₂×D₈	C₂³×C₁₃	1	2	yes	—
656	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
657	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
658	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
659	C₄⋊Q₈	—	2	2	no	—
660	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
661	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
662	#127	—	2	1	no	—
663	#127	—	2	1	no	—
664	#127	—	2	1	no	—
665	#127	C₂³×C₁₃	1	2	yes	—
666	#127	C₂³×C₁₃	1	1	yes	characteristic
667	#127	C₂³×C₁₃	1	1	yes	characteristic
668	#127	C₂³×C₁₃	1	1	yes	characteristic
669	#127	C₂³×C₁₃	1	2	yes	—
670	#126	—	2	2	no	—
671	#126	—	2	2	no	—
672	#126	—	2	1	no	—
673	#126	D₄×C₁₃	1	2	yes	—
674	#125	—	2	2	no	—
675	#125	—	2	1	no	—
676	#125	—	2	1	no	—
677	#125	D₄×C₁₃	1	1	yes	characteristic
678	#125	C₂³×C₁₃	1	2	yes	—
679	#125	C₂³×C₁₃	1	2	yes	—
680	#125	C₂³×C₁₃	1	1	yes	characteristic
681	#125	C₂³×C₁₃	1	2	yes	—
682	#124	—	2	1	no	—
683	#124	—	2	1	no	—
684	#124	D₄×C₁₃	1	1	yes	characteristic
685	#124	C₂³×C₁₃	1	1	yes	characteristic
686	#124	C₂³×C₁₃	1	2	yes	—
687	#123	—	2	1	no	—
688	#123	—	2	2	no	—
689	#123	—	2	2	no	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	D₄×C₁₃	1	2	yes	—
699	C₂²⋊Q₈	—	2	2	no	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	—	2	2	no	—
704	C₂²⋊Q₈	—	2	2	no	—
705	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
706	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
707	#121	—	2	2	no	—
708	#121	—	2	2	no	—
709	#121	—	2	1	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	1	no	—
714	#121	—	2	1	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	2	no	—
720	#121	—	2	2	no	—
721	#121	—	2	2	no	—
722	#121	D₄×C₁₃	1	1	yes	characteristic
723	#121	C₂³×C₁₃	1	1	yes	characteristic
724	#121	C₂³×C₁₃	1	2	yes	—
725	#121	C₂³×C₁₃	1	2	yes	—
726	#121	C₂³×C₁₃	1	2	yes	—
727	#121	C₂³×C₁₃	1	2	yes	—
728	#121	C₂³×C₁₃	1	2	yes	—
729	#120	—	2	2	no	—
730	#120	—	2	2	no	—
731	#120	—	2	2	no	—
732	#120	—	2	2	no	—
733	#120	—	2	2	no	—
734	#120	—	2	2	no	—
735	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
736	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₄×D₄	—	2	1	no	—
738	C₄×D₄	—	2	1	no	—
739	C₄×D₄	—	2	1	no	—
740	C₄×D₄	—	2	2	no	—
741	C₄×D₄	—	2	2	no	—
742	C₄×D₄	—	2	1	no	—
743	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
744	C₄×D₄	C₂³×C₁₃	1	2	yes	—
745	C₄×D₄	C₂³×C₁₃	1	2	yes	—
746	C₄×D₄	C₂³×C₁₃	1	2	yes	—
747	C₄×D₄	C₂³×C₁₃	1	2	yes	—
748	C₄×D₄	C₂³×C₁₃	1	2	yes	—
749	C₄×D₄	C₂³×C₁₃	1	2	yes	—
750	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
751	#117	—	2	1	no	—
752	#117	C₂³×C₁₃	1	2	yes	—
753	#117	C₂³×C₁₃	1	2	yes	—
754	C₂×C₄⋊C₄	—	2	1	no	—
755	C₂×C₄⋊C₄	—	2	1	no	—
756	C₂×C₄⋊C₄	—	2	2	no	—
757	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
760	C₂×C₂²⋊C₄	—	2	2	no	—
761	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
762	#107	C₂³×C₁₃	1	2	yes	—
763	#107	C₂³×C₁₃	1	2	yes	—
764	#107	C₂³×C₁₃	1	2	yes	—
765	#106	C₂³×C₁₃	1	2	yes	—
766	#106	C₂³×C₁₃	1	2	yes	—
767	#106	C₂³×C₁₃	1	2	yes	—
768	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
769	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
770	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
771	#103	C₂³×C₁₃	1	2	yes	—
772	#103	C₂³×C₁₃	1	2	yes	—
773	#103	C₂³×C₁₃	1	2	yes	—
774	#102	C₂³×C₁₃	1	2	yes	—
775	#102	C₂³×C₁₃	1	2	yes	—
776	#102	C₂³×C₁₃	1	2	yes	—
777	#102	C₂³×C₁₃	1	2	yes	—
778	#102	C₂³×C₁₃	1	2	yes	—
779	#102	C₂³×C₁₃	1	2	yes	—
780	#102	C₂³×C₁₃	1	2	yes	—
781	#102	C₂³×C₁₃	1	2	yes	—
782	#102	C₂³×C₁₃	1	2	yes	—
783	#102	C₂³×C₁₃	1	2	yes	—
784	#102	C₂³×C₁₃	1	2	yes	—
785	#102	C₂³×C₁₃	1	2	yes	—
786	#102	C₂³×C₁₃	1	2	yes	—
787	#102	C₂³×C₁₃	1	2	yes	—
788	#102	C₂³×C₁₃	1	2	yes	—
789	#102	C₂³×C₁₃	1	2	yes	—
790	#102	C₂³×C₁₃	1	2	yes	—
791	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
792	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
794	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
795	#97	C₂³×C₁₃	1	1	yes	characteristic
796	#97	C₂³×C₁₃	1	1	yes	characteristic
797	#97	C₂³×C₁₃	1	2	yes	—
798	#97	C₂³×C₁₃	1	2	yes	—
799	C₄×C₈	C₂³×C₁₃	1	2	yes	—
800	C₄×C₈	C₂³×C₁₃	1	2	yes	—
801	C₂×C₁₃	—	2	2	no	—
802	C₂×C₁₃	—	4	2	no	—
803	C₂×C₁₃	—	8	2	no	—
804	C₂×C₁₃	—	8	2	no	—
805	C₂×C₁₃	—	8	1	no	—
806	C₂×C₁₃	—	8	2	no	—
807	C₂×C₁₃	#3500	1	1	yes	characteristic
808	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
809	C₂×C₁₃	#3585	1	1	yes	characteristic
810	C₂⁴	—	2	2	no	—
811	C₂⁴	—	2	2	no	—
812	#41	—	4	2	no	—
813	#41	—	4	2	no	—
814	#41	—	8	2	no	—
815	#41	—	8	4	no	—
816	#41	—	8	2	no	—
817	C₂×Q₈	—	2	2	no	—
818	C₂×Q₈	—	2	1	no	—
819	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
820	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
821	C₂×D₄	—	2	1	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	2	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	2	1	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	2	2	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	1	no	—
834	C₂×D₄	—	2	2	no	—
835	C₂×D₄	—	2	2	no	—
836	C₂×D₄	—	2	2	no	—
837	C₂×D₄	—	2	2	no	—
838	C₂×D₄	—	2	1	no	—
839	C₂×D₄	—	2	1	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	2	no	—
842	C₂×D₄	—	4	2	no	—
843	C₂×D₄	—	4	2	no	—
844	C₂×D₄	—	8	2	no	—
845	C₂×D₄	—	8	2	no	—
846	C₂×D₄	—	8	2	no	—
847	C₂×D₄	—	8	4	no	—
848	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
849	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
850	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
851	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
852	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
853	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
854	C₂²×C₄	—	2	1	no	—
855	C₂²×C₄	—	2	1	no	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	1	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
865	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
868	SD₁₆	—	4	2	no	—
869	D₈	—	4	2	no	—
870	D₈	—	4	2	no	—
871	D₈	—	4	2	no	—
872	D₈	—	4	2	no	—
873	D₈	—	4	2	no	—
874	M₁₆	—	4	2	no	—
875	C₂×C₈	—	4	2	no	—
876	C₂×C₈	—	4	2	no	—
877	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
878	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
879	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
880	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	1	no	—
888	C₄⋊C₄	—	2	2	no	—
889	C₄⋊C₄	—	2	1	no	—
890	C₄⋊C₄	—	2	1	no	—
891	C₄⋊C₄	—	2	1	no	—
892	C₄⋊C₄	—	2	1	no	—
893	C₄⋊C₄	—	2	1	no	—
894	C₄⋊C₄	—	2	2	no	—
895	C₄⋊C₄	—	2	1	no	—
896	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
897	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
898	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
899	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
900	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
901	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
902	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
903	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
904	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
905	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
906	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
907	C₂²⋊C₄	—	2	1	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	1	no	—
912	C₂²⋊C₄	—	2	1	no	—
913	C₂²⋊C₄	—	2	1	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	—	2	2	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	1	no	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
926	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
927	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
928	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
929	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
930	C₄²	—	2	1	no	—
931	C₄²	—	2	2	no	—
932	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
933	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
934	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₄²	C₂⁴×C₁₃	1	2	yes	—
936	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₁₃	#62598	1	1	yes	characteristic, direct product factor, Sylow
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	4	4	no	—
943	C₂³	—	8	2	no	—
944	C₂³	—	8	2	no	—
945	C₂³	—	8	2	no	—
946	C₂³	—	8	2	no	—
947	C₂³	—	8	2	no	—
948	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
949	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
950	Q₈	—	2	2	no	—
951	Q₈	—	4	1	no	—
952	Q₈	—	8	1	no	—
953	Q₈	—	8	2	no	—
954	D₄	—	2	4	no	—
955	D₄	—	2	2	no	—
956	D₄	—	2	2	no	—
957	D₄	—	2	2	no	—
958	D₄	—	2	2	no	—
959	D₄	—	2	2	no	—
960	D₄	—	2	2	no	—
961	D₄	—	2	2	no	—
962	D₄	—	4	1	no	—
963	D₄	—	4	2	no	—
964	D₄	—	4	2	no	—
965	D₄	—	4	2	no	—
966	D₄	—	4	4	no	—
967	D₄	—	8	2	no	—
968	D₄	—	8	2	no	—
969	D₄	—	8	1	no	—
970	D₄	—	8	1	no	—
971	D₄	—	8	2	no	—
972	D₄	—	8	2	no	—
973	D₄	—	8	2	no	—
974	D₄	—	8	1	no	—
975	D₄	—	8	1	no	—
976	D₄	—	8	2	no	—
977	D₄	—	8	2	no	—
978	D₄	—	8	2	no	—
979	D₄	—	8	2	no	—
980	D₄	—	8	2	no	—
981	D₄	—	8	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	4	1	no	—
993	C₂×C₄	—	4	2	no	—
994	C₂×C₄	—	4	2	no	—
995	C₂×C₄	—	8	2	no	—
996	C₂×C₄	—	8	2	no	—
997	C₂×C₄	—	8	2	no	—
998	C₂×C₄	—	8	2	no	—
999	C₂×C₄	—	8	2	no	—
1000	C₂×C₄	—	8	2	no	—
1001	C₂×C₄	—	8	1	no	—
1002	C₂×C₄	—	8	2	no	—
1003	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1004	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1005	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1006	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1007	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1008	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1009	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1010	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1011	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1012	C₈	—	2	2	no	—
1013	C₈	—	2	2	no	—
1014	C₈	—	2	2	no	—
1015	C₈	—	2	2	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	1	no	—
1018	C₂²	—	2	2	no	—
1019	C₂²	—	2	2	no	—
1020	C₂²	—	2	2	no	—
1021	C₂²	—	4	2	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	4	1	no	—
1024	C₂²	—	4	2	no	—
1025	C₂²	—	4	1	no	—
1026	C₂²	—	4	2	no	—
1027	C₂²	—	4	2	no	—
1028	C₂²	—	4	2	no	—
1029	C₂²	—	4	2	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	1	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	16	4	no	—
1034	C₂²	—	16	4	no	—
1035	C₂²	C₁₃×#576	1	2	yes	—
1036	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1037	C₄	—	2	1	no	—
1038	C₄	—	2	1	no	—
1039	C₄	—	2	2	no	—
1040	C₄	—	2	1	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	2	no	—
1043	C₄	—	2	2	no	—
1044	C₄	—	2	1	no	—
1045	C₄	—	4	2	no	—
1046	C₄	—	4	1	no	—
1047	C₄	—	4	2	no	—
1048	C₄	—	4	1	no	—
1049	C₄	—	4	2	no	—
1050	C₄	—	4	1	no	—
1051	C₄	C₁₃×#585	1	2	yes	—
1052	C₂	—	2	2	no	—
1053	C₂	—	4	2	no	—
1054	C₂	—	8	2	no	—
1055	C₂	—	8	1	no	—
1056	C₂	—	8	2	no	—
1057	C₂	—	8	2	no	—
1058	C₂	C₁₃×#3500	1	1	yes	characteristic
1059	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1060	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×#3559	C₂	semidirect
2. C₁₃×#3543	C₂	semidirect
3. C₁₃×#3370	C₂	semidirect
4. C₁₃×#3366	C₂	semidirect
5. C₁₃×#3318	C₂	semidirect
6. C₁₃×#3318	C₂	semidirect
7. C₁₃×#3309	C₂	semidirect
8. C₁₃×#3306	C₂	semidirect
9. C₁₃×#3297	C₂	semidirect
10. C₁₃×#3294	C₂	semidirect
11. C₁₃×#3241	C₂	semidirect
12. C₁₃×#3232	C₂	semidirect
13. C₁₃×#3220	C₂	semidirect
14. C₁₃×#3205	C₂	semidirect
15. C₁₃×#3180	C₂	semidirect
16. C₁₃×#3176	C₂	semidirect
17. C₁₃×#3136	C₂	semidirect
18. C₂×C₁₃×#490	C₂	semidirect
19. C₁₃×#2968	C₂	semidirect
24. C₁₃×#554	C₂²	semidirect
25. C₁₃×#553	C₂²	semidirect
26. C₁₃×#553	C₂²	semidirect
30. C₁₃×#547	C₂²	semidirect
36. C₁₃×#544	C₂²	semidirect
39. C₁₃×#540	C₂²	semidirect
46. C₁₃×#532	C₂²	semidirect
50. C₂×C₁₃×#125	C₂²	semidirect
51. C₁₃×#501	C₂²	semidirect
52. C₁₃×#499	C₂²	semidirect
53. C₁₃×#496	C₂²	semidirect
54. C₁₃×#493	C₂²	semidirect
56. C₁₃×#490	C₂²	semidirect
57. C₁₃×#490	C₂²	semidirect
58. C₁₃×#490	C₂²	semidirect
59. C₁₃×#490	C₂²	semidirect
60. C₁₃×#490	C₂²	semidirect
61. C₁₃×#489	C₂²	semidirect
62. C₁₃×#489	C₂²	semidirect
63. C₁₃×#488	C₂²	semidirect
64. C₁₃×#488	C₂²	semidirect
65. C₁₃×#486	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#484	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
72. C₁₃×#481	C₂²	semidirect
74. C₁₃×#480	C₂²	semidirect
75. C₁₃×#479	C₂²	semidirect
76. C₁₃×#478	C₂²	semidirect
77. C₁₃×#478	C₂²	semidirect
78. C₁₃×#478	C₂²	semidirect
79. C₁₃×#476	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
81. C₁₃×#469	C₂²	semidirect
82. C₁₃×#469	C₂²	semidirect
84. C₁₃×#466	C₂²	semidirect
85. C₁₃×#466	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
90. C₁₃×#459	C₂²	semidirect
91. C₁₃×#459	C₂²	semidirect
92. C₁₃×#459	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#447	C₂²	semidirect
96. C₁₃×#447	C₂²	semidirect
97. C₁₃×#447	C₂²	semidirect
98. C₁₃×#447	C₂²	semidirect
99. C₁₃×#446	C₂²	semidirect
100. C₁₃×#442	C₂²	semidirect
101. C₁₃×#442	C₂²	semidirect
102. C₁₃×#442	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₄×C₁₃×D₈	C₂²	semidirect
105. C₄×C₁₃×D₈	C₂²	semidirect
106. C₁₃×#435	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₈×D₄×C₁₃	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
110. C₁₃×#431	C₂²	semidirect
111. C₁₃×#418	C₂²	semidirect
112. C₁₃×#417	C₂²	semidirect
113. C₁₃×#416	C₂²	semidirect
114. C₂×C₁₃×#102	C₂²	semidirect
115. C₂×C₁₃×#102	C₂²	semidirect
116. C₂×C₁₃×#102	C₂²	semidirect
117. C₁₃×#405	C₂²	semidirect
118. C₂×C₁₃×#97	C₂²	semidirect
280. #62598	C₁₃	direct (N × H)
408. #3559	C₂×C₁₃	semidirect
409. #3543	C₂×C₁₃	semidirect
410. #3370	C₂×C₁₃	semidirect
411. #3366	C₂×C₁₃	semidirect
412. #3318	C₂×C₁₃	semidirect
413. #3318	C₂×C₁₃	semidirect
414. #3309	C₂×C₁₃	semidirect
415. #3306	C₂×C₁₃	semidirect
416. #3297	C₂×C₁₃	semidirect
417. #3294	C₂×C₁₃	semidirect
418. #3241	C₂×C₁₃	semidirect
419. #3232	C₂×C₁₃	semidirect
420. #3220	C₂×C₁₃	semidirect
421. #3205	C₂×C₁₃	semidirect
422. #3180	C₂×C₁₃	semidirect
423. #3176	C₂×C₁₃	semidirect
424. #3136	C₂×C₁₃	semidirect
425. C₂×#490	C₂×C₁₃	semidirect
426. #2968	C₂×C₁₃	semidirect
509. #554	C₂²×C₁₃	semidirect
510. #553	C₂²×C₁₃	semidirect
511. #553	C₂²×C₁₃	semidirect
515. #547	C₂²×C₁₃	semidirect
521. #544	C₂²×C₁₃	semidirect
524. #540	C₂²×C₁₃	semidirect
531. #532	C₂²×C₁₃	semidirect
535. C₂×#125	C₂²×C₁₃	semidirect
536. #501	C₂²×C₁₃	semidirect
537. #499	C₂²×C₁₃	semidirect
538. #496	C₂²×C₁₃	semidirect
539. #493	C₂²×C₁₃	semidirect
541. #490	C₂²×C₁₃	semidirect
542. #490	C₂²×C₁₃	semidirect
543. #490	C₂²×C₁₃	semidirect
544. #490	C₂²×C₁₃	semidirect
545. #490	C₂²×C₁₃	semidirect
546. #489	C₂²×C₁₃	semidirect
547. #489	C₂²×C₁₃	semidirect
548. #488	C₂²×C₁₃	semidirect
549. #488	C₂²×C₁₃	semidirect
550. #486	C₂²×C₁₃	semidirect
551. #486	C₂²×C₁₃	semidirect
552. #484	C₂²×C₁₃	semidirect
553. #483	C₂²×C₁₃	semidirect
554. #482	C₂²×C₁₃	semidirect
555. #482	C₂²×C₁₃	semidirect
557. #481	C₂²×C₁₃	semidirect
559. #480	C₂²×C₁₃	semidirect
560. #479	C₂²×C₁₃	semidirect
561. #478	C₂²×C₁₃	semidirect
562. #478	C₂²×C₁₃	semidirect
563. #478	C₂²×C₁₃	semidirect
564. #476	C₂²×C₁₃	semidirect
565. #474	C₂²×C₁₃	semidirect
566. #469	C₂²×C₁₃	semidirect
567. #469	C₂²×C₁₃	semidirect
569. #466	C₂²×C₁₃	semidirect
570. #466	C₂²×C₁₃	semidirect
571. #465	C₂²×C₁₃	semidirect
572. #463	C₂²×C₁₃	semidirect
573. #463	C₂²×C₁₃	semidirect
575. #459	C₂²×C₁₃	semidirect
576. #459	C₂²×C₁₃	semidirect
577. #459	C₂²×C₁₃	semidirect
578. #449	C₂²×C₁₃	semidirect
579. #449	C₂²×C₁₃	semidirect
580. #447	C₂²×C₁₃	semidirect
581. #447	C₂²×C₁₃	semidirect
582. #447	C₂²×C₁₃	semidirect
583. #447	C₂²×C₁₃	semidirect
584. #446	C₂²×C₁₃	semidirect
585. #442	C₂²×C₁₃	semidirect
586. #442	C₂²×C₁₃	semidirect
587. #442	C₂²×C₁₃	semidirect
588. #440	C₂²×C₁₃	semidirect
589. C₄×D₈	C₂²×C₁₃	semidirect
590. C₄×D₈	C₂²×C₁₃	semidirect
591. #435	C₂²×C₁₃	semidirect
592. #435	C₂²×C₁₃	semidirect
593. C₈×D₄	C₂²×C₁₃	semidirect
594. #433	C₂²×C₁₃	semidirect
595. #431	C₂²×C₁₃	semidirect
596. #418	C₂²×C₁₃	semidirect
597. #417	C₂²×C₁₃	semidirect
598. #416	C₂²×C₁₃	semidirect
599. C₂×#102	C₂²×C₁₃	semidirect
600. C₂×#102	C₂²×C₁₃	semidirect
601. C₂×#102	C₂²×C₁₃	semidirect
602. #405	C₂²×C₁₃	semidirect
603. C₂×#97	C₂²×C₁₃	semidirect
937. C₁₃	#62598	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×#3559	2
C₁₃×#3543	2
C₁₃×#3370	2
C₁₃×#3366	2
C₁₃×#3318	2
C₁₃×#3309	2
C₁₃×#3306	2
C₁₃×#3297	2
C₁₃×#3294	2
C₁₃×#3241	2
C₁₃×#3232	2
C₁₃×#3220	2
C₁₃×#3205	2
C₁₃×#3180	2
C₁₃×#3176	2
C₁₃×#3136	2
C₂×C₁₃×#490	2
C₁₃×#2968	2
#62598	13

Subgroups — C13×#62598 #15748937

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62598 #15748937