Subgroups — C₁₃×#61921 #15748260

Order 3328.

1760 conjugacy classes of subgroups.

The subgroup lattice has 1140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3397	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3392	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3368	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3362	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3222	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3208	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3123	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2985	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#563	—	2	2	no	—
25	C₁₃×#559	C₂²	1	1	yes	characteristic
26	C₁₃×#559	C₂²	1	2	yes	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#557	C₂²	1	2	yes	complemented
31	C₁₃×#556	—	2	1	no	—
32	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#556	C₂²	1	2	yes	complemented
34	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#550	C₂²	1	1	yes	characteristic
37	C₁₃×#550	C₂²	1	1	yes	characteristic
38	C₁₃×#550	C₂²	1	2	yes	—
39	C₁₃×#546	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	2	no	—
42	C₁₃×#544	—	2	1	no	—
43	C₁₃×#542	C₂²	1	2	yes	—
44	C₁₃×#541	—	2	1	no	—
45	C₁₃×#541	—	2	2	no	—
46	C₁₃×#541	C₂²	1	2	yes	—
47	C₁₃×#540	—	2	2	no	—
48	C₁₃×#535	C₂²	1	2	yes	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#532	—	2	1	no	—
52	C₁₃×#532	—	2	1	no	—
53	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₁₃×#518	C₂²	1	2	yes	—
56	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
57	C₁₃×#497	C₂²	1	2	yes	complemented
58	C₁₃×#496	C₂²	1	2	yes	—
59	C₁₃×#496	C₂²	1	2	yes	complemented
60	C₁₃×#495	C₂²	1	2	yes	complemented
61	C₁₃×#492	C₂²	1	1	yes	characteristic
62	C₁₃×#492	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	2	yes	complemented
64	C₁₃×#490	C₂²	1	2	yes	—
65	C₁₃×#490	C₂²	1	2	yes	complemented
66	C₁₃×#489	C₂²	1	2	yes	complemented
67	C₁₃×#488	C₂²	1	2	yes	complemented
68	C₁₃×#486	C₂²	1	1	yes	characteristic
69	C₁₃×#486	C₂²	1	1	yes	characteristic
70	C₁₃×#486	C₂²	1	2	yes	complemented
71	C₁₃×#485	C₂²	1	1	yes	characteristic
72	C₁₃×#485	C₂²	1	2	yes	—
73	C₁₃×#482	C₂²	1	1	yes	characteristic
74	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#478	C₂²	1	2	yes	complemented
77	C₁₃×#478	C₂²	1	2	yes	complemented
78	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#476	C₂²	1	2	yes	complemented
81	C₁₃×#474	C₂²	1	2	yes	complemented
82	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#464	C₂²	1	2	yes	complemented
84	C₁₃×#464	C₂²	1	2	yes	complemented
85	C₁₃×#464	C₂²	1	2	yes	complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#463	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	2	yes	complemented
90	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#461	C₂²	1	2	yes	complemented
93	C₁₃×#461	C₂²	1	2	yes	complemented
94	C₁₃×#460	C₂²	1	1	yes	characteristic
95	C₁₃×#460	C₂²	1	2	yes	—
96	C₁₃×#460	C₂²	1	2	yes	—
97	C₁₃×#460	C₂²	1	1	yes	characteristic
98	C₁₃×#460	C₂²	1	2	yes	complemented
99	C₁₃×#460	C₂²	1	2	yes	complemented
100	C₁₃×#460	C₂²	1	2	yes	complemented
101	C₁₃×#459	C₂²	1	1	yes	characteristic
102	C₁₃×#459	C₂²	1	1	yes	characteristic
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#450	C₂²	1	2	yes	—
107	C₁₃×#450	C₂²	1	2	yes	—
108	C₁₃×#450	C₂²	1	2	yes	—
109	C₁₃×#449	C₂²	1	1	yes	characteristic
110	C₁₃×#447	C₂²	1	2	yes	—
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#446	C₂²	1	2	yes	complemented
113	C₁₃×#446	C₂²	1	2	yes	complemented
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#442	C₂²	1	2	yes	complemented
118	C₁₃×#441	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₁₃×#440	C₂²	1	2	yes	complemented
121	C₁₃×#440	C₂²	1	2	yes	complemented
122	C₁₃×#440	C₂²	1	2	yes	complemented
123	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
124	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
125	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
127	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
128	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
129	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
130	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
131	C₁₃×#433	C₂²	1	2	yes	—
132	C₁₃×#433	C₂²	1	2	yes	—
133	C₁₃×#432	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃	—	2	1	no	—
140	C₂²×D₄×C₁₃	—	2	1	no	—
141	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
142	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	—	2	2	no	—
157	C₁₃×C₄⋊Q₈	—	2	2	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×#127	—	2	1	no	—
166	C₁₃×#127	—	2	1	no	—
167	C₁₃×#127	C₂³	1	1	yes	characteristic
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#127	C₂³	1	2	yes	—
170	C₁₃×#127	C₂³	1	2	yes	—
171	C₁₃×#127	C₂³	1	2	yes	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	—	2	1	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	2	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	D₄	1	2	yes	—
187	C₁₃×#125	C₂³	1	2	yes	—
188	C₁₃×#125	C₂³	1	1	yes	characteristic
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	2	no	—
192	C₁₃×#124	—	2	2	no	—
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#124	C₂³	1	2	yes	—
195	C₁₃×#124	C₂³	1	1	yes	characteristic
196	C₁₃×#124	C₂³	1	2	yes	—
197	C₁₃×#123	—	2	1	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
210	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
211	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
213	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	C₂³	1	1	yes	characteristic
224	C₁₃×#120	—	2	2	no	—
225	C₁₃×#120	—	2	2	no	—
226	C₄×Q₈×C₁₃	—	2	1	no	—
227	C₄×Q₈×C₁₃	—	2	1	no	—
228	C₄×Q₈×C₁₃	—	2	2	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
233	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	—	2	1	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	C₂³	1	1	yes	characteristic
262	C₁₃×#117	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
268	C₁₃×#107	C₂³	1	2	yes	—
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	1	yes	characteristic
283	C₁₃×#103	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#102	C₂³	1	1	yes	characteristic
290	C₁₃×#102	C₂³	1	1	yes	characteristic
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	1	yes	characteristic
293	C₁₃×#102	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×#97	C₂³	1	2	yes	—
306	C₁₃×#97	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#61921	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	2	no	—
314	C₁₃×#41	—	4	1	no	—
315	C₁₃×#41	—	4	1	no	—
316	C₁₃×#41	—	8	2	no	—
317	C₁₃×#41	—	8	2	no	—
318	C₁₃×#41	—	8	4	no	—
319	C₂×Q₈×C₁₃	—	2	1	no	—
320	C₂×Q₈×C₁₃	—	2	2	no	—
321	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
322	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
323	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
324	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
325	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
327	C₂×D₄×C₁₃	—	2	1	no	—
328	C₂×D₄×C₁₃	—	2	1	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	1	no	—
340	C₂×D₄×C₁₃	—	4	2	no	—
341	C₂×D₄×C₁₃	—	4	2	no	—
342	C₂×D₄×C₁₃	—	8	2	no	—
343	C₂×D₄×C₁₃	—	8	2	no	—
344	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₁₃×Q₁₆	—	4	2	no	—
361	C₁₃×Q₁₆	—	4	1	no	—
362	C₁₃×SD₁₆	—	4	2	no	—
363	C₁₃×SD₁₆	—	4	2	no	—
364	C₁₃×SD₁₆	—	4	2	no	—
365	C₁₃×SD₁₆	—	4	2	no	—
366	C₁₃×SD₁₆	—	4	1	no	—
367	C₁₃×SD₁₆	—	4	2	no	—
368	C₁₃×SD₁₆	—	4	1	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×D₈	—	4	1	no	—
372	C₁₃×D₈	—	4	2	no	—
373	C₁₃×D₈	—	4	2	no	—
374	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₄²×C₁₃	—	2	1	no	—
436	C₄²×C₁₃	—	2	1	no	—
437	C₄²×C₁₃	—	2	1	no	—
438	C₄²×C₁₃	—	2	2	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₄²×C₁₃	C₂⁴	1	2	yes	—
447	C₄²×C₁₃	C₂⁴	1	2	yes	—
448	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
449	#3555	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3401	C₂×C₁₃	1	2	yes	complemented
452	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3397	C₂×C₁₃	1	2	yes	complemented
455	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3392	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3371	C₂×C₁₃	1	2	yes	complemented
459	#3368	C₂×C₁₃	1	2	yes	complemented
460	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3362	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3224	C₂×C₁₃	1	2	yes	complemented
464	#3222	C₂×C₁₃	1	2	yes	complemented
465	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3208	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3123	C₂×C₁₃	1	2	yes	complemented
468	#3118	C₂×C₁₃	1	2	yes	complemented
469	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
472	C₂³×C₁₃	—	2	1	no	—
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	2	2	no	—
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	—	4	4	no	—
477	C₂³×C₁₃	—	8	2	no	—
478	C₂³×C₁₃	—	8	2	no	—
479	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	4	2	no	—
489	Q₈×C₁₃	—	8	1	no	—
490	Q₈×C₁₃	—	8	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	2	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	2	no	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	2	1	no	—
499	D₄×C₁₃	—	4	4	no	—
500	D₄×C₁₃	—	4	4	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	8	1	no	—
505	D₄×C₁₃	—	8	1	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	2	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	—	8	1	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	4	1	no	—
524	C₂×C₄×C₁₃	—	4	2	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	8	2	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
538	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
539	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
543	C₈×C₁₃	—	2	2	no	—
544	C₈×C₁₃	—	2	1	no	—
545	C₈×C₁₃	—	2	2	no	—
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	—	2	1	no	—
548	C₈×C₁₃	—	2	1	no	—
549	#563	—	2	2	no	—
550	#559	C₂²×C₁₃	1	1	yes	characteristic
551	#559	C₂²×C₁₃	1	2	yes	—
552	#559	C₂²×C₁₃	1	1	yes	characteristic
553	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
554	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
555	#557	C₂²×C₁₃	1	2	yes	complemented
556	#556	—	2	1	no	—
557	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
558	#556	C₂²×C₁₃	1	2	yes	complemented
559	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
560	#552	—	2	1	no	—
561	#550	C₂²×C₁₃	1	1	yes	characteristic
562	#550	C₂²×C₁₃	1	1	yes	characteristic
563	#550	C₂²×C₁₃	1	2	yes	—
564	#546	—	2	1	no	—
565	#546	—	2	1	no	—
566	#546	—	2	2	no	—
567	#544	—	2	1	no	—
568	#542	C₂²×C₁₃	1	2	yes	—
569	#541	—	2	1	no	—
570	#541	—	2	2	no	—
571	#541	C₂²×C₁₃	1	2	yes	—
572	#540	—	2	2	no	—
573	#535	C₂²×C₁₃	1	2	yes	—
574	#533	C₂²×C₁₃	1	1	yes	characteristic
575	#533	C₂²×C₁₃	1	1	yes	characteristic
576	#532	—	2	1	no	—
577	#532	—	2	1	no	—
578	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
579	#529	C₂²×C₁₃	1	1	yes	characteristic
580	#518	C₂²×C₁₃	1	2	yes	—
581	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
582	#497	C₂²×C₁₃	1	2	yes	complemented
583	#496	C₂²×C₁₃	1	2	yes	—
584	#496	C₂²×C₁₃	1	2	yes	complemented
585	#495	C₂²×C₁₃	1	2	yes	complemented
586	#492	C₂²×C₁₃	1	1	yes	characteristic
587	#492	C₂²×C₁₃	1	1	yes	characteristic
588	#492	C₂²×C₁₃	1	2	yes	complemented
589	#490	C₂²×C₁₃	1	2	yes	—
590	#490	C₂²×C₁₃	1	2	yes	complemented
591	#489	C₂²×C₁₃	1	2	yes	complemented
592	#488	C₂²×C₁₃	1	2	yes	complemented
593	#486	C₂²×C₁₃	1	1	yes	characteristic
594	#486	C₂²×C₁₃	1	1	yes	characteristic
595	#486	C₂²×C₁₃	1	2	yes	complemented
596	#485	C₂²×C₁₃	1	1	yes	characteristic
597	#485	C₂²×C₁₃	1	2	yes	—
598	#482	C₂²×C₁₃	1	1	yes	characteristic
599	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#478	C₂²×C₁₃	1	2	yes	complemented
602	#478	C₂²×C₁₃	1	2	yes	complemented
603	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#476	C₂²×C₁₃	1	2	yes	complemented
606	#474	C₂²×C₁₃	1	2	yes	complemented
607	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	#464	C₂²×C₁₃	1	2	yes	complemented
609	#464	C₂²×C₁₃	1	2	yes	complemented
610	#464	C₂²×C₁₃	1	2	yes	complemented
611	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#463	C₂²×C₁₃	1	2	yes	complemented
613	#463	C₂²×C₁₃	1	2	yes	complemented
614	#463	C₂²×C₁₃	1	2	yes	complemented
615	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#461	C₂²×C₁₃	1	2	yes	complemented
618	#461	C₂²×C₁₃	1	2	yes	complemented
619	#460	C₂²×C₁₃	1	1	yes	characteristic
620	#460	C₂²×C₁₃	1	2	yes	—
621	#460	C₂²×C₁₃	1	2	yes	—
622	#460	C₂²×C₁₃	1	1	yes	characteristic
623	#460	C₂²×C₁₃	1	2	yes	complemented
624	#460	C₂²×C₁₃	1	2	yes	complemented
625	#460	C₂²×C₁₃	1	2	yes	complemented
626	#459	C₂²×C₁₃	1	1	yes	characteristic
627	#459	C₂²×C₁₃	1	1	yes	characteristic
628	#459	C₂²×C₁₃	1	2	yes	complemented
629	#452	C₂²×C₁₃	1	1	yes	characteristic
630	#452	C₂²×C₁₃	1	2	yes	—
631	#450	C₂²×C₁₃	1	2	yes	—
632	#450	C₂²×C₁₃	1	2	yes	—
633	#450	C₂²×C₁₃	1	2	yes	—
634	#449	C₂²×C₁₃	1	1	yes	characteristic
635	#447	C₂²×C₁₃	1	2	yes	—
636	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#446	C₂²×C₁₃	1	2	yes	complemented
638	#446	C₂²×C₁₃	1	2	yes	complemented
639	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#442	C₂²×C₁₃	1	2	yes	complemented
643	#441	C₂²×C₁₃	1	2	yes	complemented
644	#440	C₂²×C₁₃	1	2	yes	complemented
645	#440	C₂²×C₁₃	1	2	yes	complemented
646	#440	C₂²×C₁₃	1	2	yes	complemented
647	#440	C₂²×C₁₃	1	2	yes	complemented
648	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
652	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
653	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
654	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
656	#433	C₂²×C₁₃	1	2	yes	—
657	#433	C₂²×C₁₃	1	2	yes	—
658	#432	C₂²×C₁₃	1	1	yes	characteristic
659	#431	C₂²×C₁₃	1	1	yes	characteristic
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	4	1	no	—
664	C₂²×C₁₃	—	4	1	no	—
665	C₂²×C₁₃	—	4	2	no	—
666	C₂²×C₁₃	—	4	2	no	—
667	C₂²×C₁₃	—	4	1	no	—
668	C₂²×C₁₃	—	4	2	no	—
669	C₂²×C₁₃	—	4	2	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	4	2	no	—
675	C₂²×C₁₃	—	16	4	no	—
676	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
677	C₄×C₁₃	—	2	1	no	—
678	C₄×C₁₃	—	2	1	no	—
679	C₄×C₁₃	—	2	2	no	—
680	C₄×C₁₃	—	2	2	no	—
681	C₄×C₁₃	—	2	1	no	—
682	C₄×C₁₃	—	2	1	no	—
683	C₄×C₁₃	—	2	2	no	—
684	C₄×C₁₃	—	2	2	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	2	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	—	4	2	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	—	4	1	no	—
693	C₄×C₁₃	#577	1	2	yes	—
694	C₄×C₁₃	#585	1	1	yes	characteristic
695	C₄×C₁₃	#585	1	1	yes	characteristic
696	C₂×#41	—	2	1	no	—
697	C₂×#41	—	2	1	no	—
698	C₂×#41	—	2	2	no	—
699	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
700	C₂²×D₄	—	2	1	no	—
701	C₂²×D₄	—	2	1	no	—
702	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
703	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂×D₈	C₂³×C₁₃	1	2	yes	—
715	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×D₈	C₂³×C₁₃	1	2	yes	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	—	2	2	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
721	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
724	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
725	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
726	#127	—	2	1	no	—
727	#127	—	2	1	no	—
728	#127	C₂³×C₁₃	1	1	yes	characteristic
729	#127	C₂³×C₁₃	1	1	yes	characteristic
730	#127	C₂³×C₁₃	1	2	yes	—
731	#127	C₂³×C₁₃	1	2	yes	—
732	#127	C₂³×C₁₃	1	2	yes	—
733	#126	—	2	2	no	—
734	#126	—	2	2	no	—
735	#126	—	2	2	no	—
736	#126	—	2	2	no	—
737	#126	—	2	2	no	—
738	#126	—	2	2	no	—
739	#126	—	2	1	no	—
740	#125	—	2	2	no	—
741	#125	—	2	2	no	—
742	#125	—	2	2	no	—
743	#125	—	2	2	no	—
744	#125	—	2	2	no	—
745	#125	—	2	1	no	—
746	#125	—	2	1	no	—
747	#125	D₄×C₁₃	1	2	yes	—
748	#125	C₂³×C₁₃	1	1	yes	characteristic
749	#125	C₂³×C₁₃	1	2	yes	—
750	#124	—	2	1	no	—
751	#124	—	2	1	no	—
752	#124	—	2	2	no	—
753	#124	—	2	2	no	—
754	#124	C₂³×C₁₃	1	1	yes	characteristic
755	#124	C₂³×C₁₃	1	2	yes	—
756	#124	C₂³×C₁₃	1	2	yes	—
757	#124	C₂³×C₁₃	1	2	yes	—
758	#123	—	2	1	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
771	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
772	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
773	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
775	#121	—	2	2	no	—
776	#121	—	2	2	no	—
777	#121	—	2	1	no	—
778	#121	—	2	1	no	—
779	#121	—	2	2	no	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#121	—	2	2	no	—
783	#121	—	2	2	no	—
784	#121	C₂³×C₁₃	1	1	yes	characteristic
785	#120	—	2	2	no	—
786	#120	—	2	2	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	2	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
792	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
794	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
795	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
796	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
797	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
798	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
800	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
811	C₄×D₄	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	C₂³×C₁₃	1	2	yes	—
813	C₄×D₄	C₂³×C₁₃	1	2	yes	—
814	C₄×D₄	C₂³×C₁₃	1	2	yes	—
815	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₁₃	1	2	yes	—
817	#117	—	2	1	no	—
818	#117	—	2	2	no	—
819	#117	—	2	1	no	—
820	#117	—	2	1	no	—
821	#117	—	2	1	no	—
822	#117	C₂³×C₁₃	1	1	yes	characteristic
823	#117	C₂³×C₁₃	1	2	yes	—
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₂²⋊C₄	—	2	2	no	—
826	C₂×C₂²⋊C₄	—	2	2	no	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
829	#107	C₂³×C₁₃	1	2	yes	—
830	#107	C₂³×C₁₃	1	1	yes	characteristic
831	#107	C₂³×C₁₃	1	1	yes	characteristic
832	#106	C₂³×C₁₃	1	1	yes	characteristic
833	#106	C₂³×C₁₃	1	1	yes	characteristic
834	#106	C₂³×C₁₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
839	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
840	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
841	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
842	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	1	yes	characteristic
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#103	C₂³×C₁₃	1	1	yes	characteristic
847	#103	C₂³×C₁₃	1	1	yes	characteristic
848	#103	C₂³×C₁₃	1	1	yes	characteristic
849	#103	C₂³×C₁₃	1	2	yes	—
850	#102	C₂³×C₁₃	1	1	yes	characteristic
851	#102	C₂³×C₁₃	1	1	yes	characteristic
852	#102	C₂³×C₁₃	1	2	yes	—
853	#102	C₂³×C₁₃	1	1	yes	characteristic
854	#102	C₂³×C₁₃	1	2	yes	—
855	#102	C₂³×C₁₃	1	1	yes	characteristic
856	#102	C₂³×C₁₃	1	2	yes	—
857	#102	C₂³×C₁₃	1	2	yes	—
858	#102	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
866	#97	C₂³×C₁₃	1	2	yes	—
867	#97	C₂³×C₁₃	1	2	yes	—
868	#97	C₂³×C₁₃	1	2	yes	—
869	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
870	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
871	C₄×C₈	C₂³×C₁₃	1	2	yes	—
872	C₄×C₈	C₂³×C₁₃	1	2	yes	—
873	C₂×C₁₃	—	4	1	no	—
874	C₂×C₁₃	—	8	1	no	—
875	C₂×C₁₃	—	8	1	no	—
876	C₂×C₁₃	—	8	2	no	—
877	C₂×C₁₃	—	8	2	no	—
878	C₂×C₁₃	#3487	1	1	yes	characteristic
879	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
880	C₂×C₁₃	#3585	1	1	yes	characteristic
881	C₂⁴	—	2	2	no	—
882	#41	—	4	1	no	—
883	#41	—	4	1	no	—
884	#41	—	8	2	no	—
885	#41	—	8	2	no	—
886	#41	—	8	4	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
890	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
891	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
892	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	4	2	no	—
909	C₂×D₄	—	4	2	no	—
910	C₂×D₄	—	8	2	no	—
911	C₂×D₄	—	8	2	no	—
912	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
913	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
914	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
915	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	1	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	1	yes	characteristic
926	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
927	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
928	Q₁₆	—	4	2	no	—
929	Q₁₆	—	4	1	no	—
930	SD₁₆	—	4	2	no	—
931	SD₁₆	—	4	2	no	—
932	SD₁₆	—	4	2	no	—
933	SD₁₆	—	4	2	no	—
934	SD₁₆	—	4	1	no	—
935	SD₁₆	—	4	2	no	—
936	SD₁₆	—	4	1	no	—
937	SD₁₆	—	4	2	no	—
938	SD₁₆	—	4	2	no	—
939	D₈	—	4	1	no	—
940	D₈	—	4	2	no	—
941	D₈	—	4	2	no	—
942	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
943	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
946	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
974	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
975	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
976	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1002	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₄²	C₂⁴×C₁₃	1	2	yes	—
1015	C₄²	C₂⁴×C₁₃	1	2	yes	—
1016	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₁₃	#61921	1	1	yes	characteristic, direct product factor, Sylow
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	1	no	—
1022	C₂³	—	4	4	no	—
1023	C₂³	—	8	2	no	—
1024	C₂³	—	8	2	no	—
1025	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1026	Q₈	—	2	2	no	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	2	no	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	2	1	no	—
1031	Q₈	—	2	2	no	—
1032	Q₈	—	2	1	no	—
1033	Q₈	—	2	1	no	—
1034	Q₈	—	4	2	no	—
1035	Q₈	—	8	1	no	—
1036	Q₈	—	8	2	no	—
1037	D₄	—	2	1	no	—
1038	D₄	—	2	1	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	2	2	no	—
1041	D₄	—	2	1	no	—
1042	D₄	—	2	2	no	—
1043	D₄	—	2	2	no	—
1044	D₄	—	2	1	no	—
1045	D₄	—	4	4	no	—
1046	D₄	—	4	4	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	8	2	no	—
1051	D₄	—	8	1	no	—
1052	D₄	—	8	1	no	—
1053	D₄	—	8	2	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	2	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	4	2	no	—
1072	C₂×C₄	—	4	2	no	—
1073	C₂×C₄	—	4	2	no	—
1074	C₂×C₄	—	8	2	no	—
1075	C₂×C₄	—	8	2	no	—
1076	C₂×C₄	—	8	2	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1080	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1081	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1082	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1083	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1084	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1085	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1086	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1087	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1088	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1089	C₈	—	2	2	no	—
1090	C₈	—	2	1	no	—
1091	C₈	—	2	2	no	—
1092	C₈	—	2	1	no	—
1093	C₈	—	2	1	no	—
1094	C₈	—	2	1	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	2	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	16	4	no	—
1111	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1112	C₄	—	2	1	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	2	1	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	2	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	2	no	—
1127	C₄	—	4	1	no	—
1128	C₄	C₁₃×#577	1	2	yes	—
1129	C₄	C₁₃×#585	1	1	yes	characteristic
1130	C₄	C₁₃×#585	1	1	yes	characteristic
1131	C₂	—	4	1	no	—
1132	C₂	—	8	2	no	—
1133	C₂	—	8	2	no	—
1134	C₂	—	8	1	no	—
1135	C₂	—	8	1	no	—
1136	C₂	C₁₃×#3487	1	1	yes	characteristic
1137	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1138	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×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3555	C₂	semidirect
2. C₁₃×#3508	C₂	semidirect
3. C₁₃×#3401	C₂	semidirect
4. C₁₃×#3400	C₂	semidirect
5. C₁₃×#3397	C₂	semidirect
6. C₁₃×#3397	C₂	semidirect
7. C₁₃×#3394	C₂	semidirect
8. C₁₃×#3392	C₂	semidirect
9. C₁₃×#3375	C₂	semidirect
10. C₁₃×#3371	C₂	semidirect
11. C₁₃×#3368	C₂	semidirect
12. C₁₃×#3366	C₂	semidirect
13. C₁₃×#3362	C₂	semidirect
14. C₁₃×#3361	C₂	semidirect
15. C₁₃×#3224	C₂	semidirect
16. C₁₃×#3222	C₂	semidirect
17. C₁₃×#3217	C₂	semidirect
18. C₁₃×#3208	C₂	semidirect
19. C₁₃×#3123	C₂	semidirect
20. C₁₃×#3118	C₂	semidirect
21. C₁₃×#3116	C₂	semidirect
22. C₁₃×#3102	C₂	semidirect
23. C₁₃×#2985	C₂	semidirect
28. Q₈²×C₁₃	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
30. C₁₃×#557	C₂²	semidirect
32. C₁₃×#556	C₂²	semidirect
33. C₁₃×#556	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
57. C₁₃×#497	C₂²	semidirect
59. C₁₃×#496	C₂²	semidirect
60. C₁₃×#495	C₂²	semidirect
63. C₁₃×#492	C₂²	semidirect
65. C₁₃×#490	C₂²	semidirect
66. C₁₃×#489	C₂²	semidirect
67. C₁₃×#488	C₂²	semidirect
70. C₁₃×#486	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
75. C₁₃×#478	C₂²	semidirect
76. C₁₃×#478	C₂²	semidirect
77. C₁₃×#478	C₂²	semidirect
78. C₁₃×#477	C₂²	semidirect
79. C₁₃×#476	C₂²	semidirect
80. C₁₃×#476	C₂²	semidirect
81. C₁₃×#474	C₂²	semidirect
82. C₁₃×#464	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
84. C₁₃×#464	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#462	C₂²	semidirect
91. C₁₃×#461	C₂²	semidirect
92. C₁₃×#461	C₂²	semidirect
93. C₁₃×#461	C₂²	semidirect
98. C₁₃×#460	C₂²	semidirect
99. C₁₃×#460	C₂²	semidirect
100. C₁₃×#460	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₁₃×#446	C₂²	semidirect
113. C₁₃×#446	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₈×Q₈×C₁₃	C₂²	semidirect
117. C₁₃×#442	C₂²	semidirect
118. C₁₃×#441	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₁₃×#440	C₂²	semidirect
121. C₁₃×#440	C₂²	semidirect
122. C₁₃×#440	C₂²	semidirect
123. C₄×C₁₃×Q₁₆	C₂²	semidirect
124. C₄×C₁₃×SD₁₆	C₂²	semidirect
125. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₄×C₁₃×SD₁₆	C₂²	semidirect
127. C₄×C₁₃×SD₁₆	C₂²	semidirect
128. C₄×C₁₃×SD₁₆	C₂²	semidirect
129. C₄×C₁₃×D₈	C₂²	semidirect
130. C₄×C₁₃×D₈	C₂²	semidirect
312. #61921	C₁₃	direct (N × H)
449. #3555	C₂×C₁₃	semidirect
450. #3508	C₂×C₁₃	semidirect
451. #3401	C₂×C₁₃	semidirect
452. #3400	C₂×C₁₃	semidirect
453. #3397	C₂×C₁₃	semidirect
454. #3397	C₂×C₁₃	semidirect
455. #3394	C₂×C₁₃	semidirect
456. #3392	C₂×C₁₃	semidirect
457. #3375	C₂×C₁₃	semidirect
458. #3371	C₂×C₁₃	semidirect
459. #3368	C₂×C₁₃	semidirect
460. #3366	C₂×C₁₃	semidirect
461. #3362	C₂×C₁₃	semidirect
462. #3361	C₂×C₁₃	semidirect
463. #3224	C₂×C₁₃	semidirect
464. #3222	C₂×C₁₃	semidirect
465. #3217	C₂×C₁₃	semidirect
466. #3208	C₂×C₁₃	semidirect
467. #3123	C₂×C₁₃	semidirect
468. #3118	C₂×C₁₃	semidirect
469. #3116	C₂×C₁₃	semidirect
470. #3102	C₂×C₁₃	semidirect
471. #2985	C₂×C₁₃	semidirect
553. Q₈²	C₂²×C₁₃	semidirect
554. #557	C₂²×C₁₃	semidirect
555. #557	C₂²×C₁₃	semidirect
557. #556	C₂²×C₁₃	semidirect
558. #556	C₂²×C₁₃	semidirect
559. #554	C₂²×C₁₃	semidirect
582. #497	C₂²×C₁₃	semidirect
584. #496	C₂²×C₁₃	semidirect
585. #495	C₂²×C₁₃	semidirect
588. #492	C₂²×C₁₃	semidirect
590. #490	C₂²×C₁₃	semidirect
591. #489	C₂²×C₁₃	semidirect
592. #488	C₂²×C₁₃	semidirect
595. #486	C₂²×C₁₃	semidirect
599. #479	C₂²×C₁₃	semidirect
600. #478	C₂²×C₁₃	semidirect
601. #478	C₂²×C₁₃	semidirect
602. #478	C₂²×C₁₃	semidirect
603. #477	C₂²×C₁₃	semidirect
604. #476	C₂²×C₁₃	semidirect
605. #476	C₂²×C₁₃	semidirect
606. #474	C₂²×C₁₃	semidirect
607. #464	C₂²×C₁₃	semidirect
608. #464	C₂²×C₁₃	semidirect
609. #464	C₂²×C₁₃	semidirect
610. #464	C₂²×C₁₃	semidirect
611. #463	C₂²×C₁₃	semidirect
612. #463	C₂²×C₁₃	semidirect
613. #463	C₂²×C₁₃	semidirect
614. #463	C₂²×C₁₃	semidirect
615. #462	C₂²×C₁₃	semidirect
616. #461	C₂²×C₁₃	semidirect
617. #461	C₂²×C₁₃	semidirect
618. #461	C₂²×C₁₃	semidirect
623. #460	C₂²×C₁₃	semidirect
624. #460	C₂²×C₁₃	semidirect
625. #460	C₂²×C₁₃	semidirect
628. #459	C₂²×C₁₃	semidirect
636. #446	C₂²×C₁₃	semidirect
637. #446	C₂²×C₁₃	semidirect
638. #446	C₂²×C₁₃	semidirect
639. #446	C₂²×C₁₃	semidirect
640. C₈×Q₈	C₂²×C₁₃	semidirect
641. C₈×Q₈	C₂²×C₁₃	semidirect
642. #442	C₂²×C₁₃	semidirect
643. #441	C₂²×C₁₃	semidirect
644. #440	C₂²×C₁₃	semidirect
645. #440	C₂²×C₁₃	semidirect
646. #440	C₂²×C₁₃	semidirect
647. #440	C₂²×C₁₃	semidirect
648. C₄×Q₁₆	C₂²×C₁₃	semidirect
649. C₄×SD₁₆	C₂²×C₁₃	semidirect
650. C₄×SD₁₆	C₂²×C₁₃	semidirect
651. C₄×SD₁₆	C₂²×C₁₃	semidirect
652. C₄×SD₁₆	C₂²×C₁₃	semidirect
653. C₄×SD₁₆	C₂²×C₁₃	semidirect
654. C₄×D₈	C₂²×C₁₃	semidirect
655. C₄×D₈	C₂²×C₁₃	semidirect
1017. C₁₃	#61921	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×#3555	2
C₁₃×#3508	2
C₁₃×#3401	2
C₁₃×#3400	2
C₁₃×#3397	2
C₁₃×#3394	2
C₁₃×#3392	2
C₁₃×#3375	2
C₁₃×#3371	2
C₁₃×#3368	2
C₁₃×#3366	2
C₁₃×#3362	2
C₁₃×#3361	2
C₁₃×#3224	2
C₁₃×#3222	2
C₁₃×#3217	2
C₁₃×#3208	2
C₁₃×#3123	2
C₁₃×#3118	2
C₁₃×#3116	2
C₁₃×#3102	2
C₁₃×#2985	2
#61921	13

Subgroups — C13×#61921 #15748260

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61921 #15748260