Subgroups — C₁₃×#61920 #15748259

Order 3328.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3399	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3396	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3391	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3366	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3205	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3122	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3115	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×#562	—	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	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#559	C₂²	1	2	yes	complemented
30	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#554	C₂²	1	2	yes	complemented
32	C₁₃×#550	C₂²	1	1	yes	characteristic
33	C₁₃×#550	C₂²	1	2	yes	—
34	C₁₃×#550	C₂²	1	1	yes	characteristic
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#547	—	2	1	no	—
39	C₁₃×#546	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	2	no	—
42	C₁₃×#542	—	2	1	no	—
43	C₁₃×#542	C₂²	1	2	yes	—
44	C₁₃×#540	—	2	2	no	—
45	C₁₃×#540	C₂²	1	2	yes	—
46	C₁₃×#539	—	2	2	no	—
47	C₁₃×#536	—	2	1	no	—
48	C₁₃×#535	C₂²	1	2	yes	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#532	—	2	1	no	—
51	C₁₃×#532	—	2	1	no	—
52	C₁₃×#532	C₂²	1	1	yes	characteristic
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×#496	C₂²	1	2	yes	—
58	C₁₃×#496	C₂²	1	2	yes	complemented
59	C₁₃×#496	C₂²	1	2	yes	complemented
60	C₁₃×#495	C₂²	1	2	yes	complemented
61	C₁₃×#493	C₂²	1	1	yes	characteristic
62	C₁₃×#493	C₂²	1	1	yes	characteristic
63	C₁₃×#493	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×#482	C₂²	1	1	yes	characteristic
73	C₁₃×#482	C₂²	1	2	yes	—
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×#476	C₂²	1	2	yes	complemented
79	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#474	C₂²	1	1	yes	characteristic, 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×#463	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#463	C₂²	1	2	yes	complemented
86	C₁₃×#463	C₂²	1	2	yes	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×#460	C₂²	1	1	yes	characteristic
91	C₁₃×#460	C₂²	1	1	yes	characteristic
92	C₁₃×#460	C₂²	1	2	yes	complemented
93	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#459	C₂²	1	1	yes	characteristic
95	C₁₃×#459	C₂²	1	2	yes	—
96	C₁₃×#459	C₂²	1	2	yes	—
97	C₁₃×#459	C₂²	1	1	yes	characteristic
98	C₁₃×#459	C₂²	1	2	yes	complemented
99	C₁₃×#459	C₂²	1	2	yes	complemented
100	C₁₃×#459	C₂²	1	2	yes	complemented
101	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#459	C₂²	1	2	yes	complemented
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#450	C₂²	1	2	yes	—
106	C₁₃×#449	C₂²	1	1	yes	characteristic
107	C₁₃×#449	C₂²	1	2	yes	—
108	C₁₃×#447	C₂²	1	2	yes	—
109	C₁₃×#447	C₂²	1	2	yes	—
110	C₁₃×#447	C₂²	1	2	yes	—
111	C₁₃×#446	C₂²	1	2	yes	complemented
112	C₁₃×#446	C₂²	1	1	yes	characteristic, 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×#442	C₂²	1	2	yes	complemented
119	C₁₃×#442	C₂²	1	2	yes	complemented
120	C₁₃×#442	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×D₈	C₂²	1	1	yes	characteristic, complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
129	C₄×C₁₃×D₈	C₂²	1	2	yes	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	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂²×Q₈×C₁₃	—	2	1	no	—
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
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×D₈	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	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	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×D₈	C₂³	1	2	yes	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×#127	—	2	1	no	—
165	C₁₃×#127	—	2	1	no	—
166	C₁₃×#127	C₂³	1	2	yes	—
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×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#125	—	2	2	no	—
176	C₁₃×#125	D₄	1	2	yes	—
177	C₁₃×#125	C₂³	1	2	yes	—
178	C₁₃×#125	C₂³	1	1	yes	characteristic
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	—	2	1	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	C₂³	1	2	yes	—
187	C₁₃×#124	C₂³	1	2	yes	—
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#124	C₂³	1	1	yes	characteristic
190	C₁₃×#123	—	2	1	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
208	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
209	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	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	1	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	C₂³	1	1	yes	characteristic
226	C₁₃×#121	C₂³	1	2	yes	—
227	C₁₃×#120	—	2	2	no	—
228	C₁₃×#120	—	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	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	1	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	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	2	yes	—
257	C₄×D₄×C₁₃	C₂³	1	2	yes	—
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	2	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	1	yes	characteristic
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#106	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#102	C₂³	1	1	yes	characteristic
288	C₁₃×#102	C₂³	1	2	yes	—
289	C₁₃×#102	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	2	yes	—
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	C₂³	1	1	yes	characteristic
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	1	yes	characteristic
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	#61920	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	2	no	—
319	C₁₃×#41	—	8	2	no	—
320	C₁₃×#41	—	8	4	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	8	2	no	—
324	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
325	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
327	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	4	2	no	—
348	C₂×D₄×C₁₃	—	4	2	no	—
349	C₂×D₄×C₁₃	—	8	2	no	—
350	C₂×D₄×C₁₃	—	8	2	no	—
351	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
353	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	2	no	—
364	C₂²×C₄×C₁₃	—	2	2	no	—
365	C₂²×C₄×C₁₃	—	2	2	no	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	2	no	—
368	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₁₃×Q₁₆	—	4	1	no	—
372	C₁₃×SD₁₆	—	4	1	no	—
373	C₁₃×SD₁₆	—	4	2	no	—
374	C₁₃×SD₁₆	—	4	1	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×SD₁₆	—	4	2	no	—
377	C₁₃×D₈	—	4	1	no	—
378	C₁₃×D₈	—	4	2	no	—
379	C₁₃×D₈	—	4	2	no	—
380	C₁₃×D₈	—	4	2	no	—
381	C₁₃×D₈	—	4	2	no	—
382	C₁₃×D₈	—	4	2	no	—
383	C₁₃×D₈	—	4	2	no	—
384	C₁₃×D₈	—	4	2	no	—
385	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
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	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	1	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₄²×C₁₃	C₂⁴	1	2	yes	—
450	C₄²×C₁₃	C₂⁴	1	2	yes	—
451	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
452	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3403	C₂×C₁₃	1	2	yes	complemented
455	#3399	C₂×C₁₃	1	2	yes	complemented
456	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3396	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3391	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3370	C₂×C₁₃	1	2	yes	complemented
462	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3366	C₂×C₁₃	1	2	yes	complemented
464	#3365	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3358	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3224	C₂×C₁₃	1	2	yes	complemented
467	#3220	C₂×C₁₃	1	2	yes	complemented
468	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3205	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3122	C₂×C₁₃	1	2	yes	complemented
471	#3118	C₂×C₁₃	1	2	yes	complemented
472	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#2985	C₂×C₁₃	1	1	yes	characteristic, complemented
475	C₂³×C₁₃	—	2	2	no	—
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	2	no	—
478	C₂³×C₁₃	—	2	2	no	—
479	C₂³×C₁₃	—	2	1	no	—
480	C₂³×C₁₃	—	4	4	no	—
481	C₂³×C₁₃	—	8	2	no	—
482	C₂³×C₁₃	—	8	2	no	—
483	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	4	2	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	—	8	2	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	2	2	no	—
495	D₄×C₁₃	—	2	2	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	2	1	no	—
503	D₄×C₁₃	—	4	4	no	—
504	D₄×C₁₃	—	4	4	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	4	2	no	—
509	D₄×C₁₃	—	8	1	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	—	8	1	no	—
512	D₄×C₁₃	—	8	1	no	—
513	D₄×C₁₃	—	8	2	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	D₄×C₁₃	—	8	2	no	—
518	D₄×C₁₃	—	8	2	no	—
519	D₄×C₁₃	—	8	1	no	—
520	D₄×C₁₃	—	8	2	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	4	1	no	—
532	C₂×C₄×C₁₃	—	4	2	no	—
533	C₂×C₄×C₁₃	—	4	2	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	2	no	—
536	C₂×C₄×C₁₃	—	8	2	no	—
537	C₂×C₄×C₁₃	—	8	2	no	—
538	C₂×C₄×C₁₃	—	8	2	no	—
539	C₂×C₄×C₁₃	—	8	2	no	—
540	C₂×C₄×C₁₃	—	8	2	no	—
541	C₂×C₄×C₁₃	—	8	2	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
552	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
554	C₈×C₁₃	—	2	1	no	—
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	2	no	—
558	C₈×C₁₃	—	2	1	no	—
559	C₈×C₁₃	—	2	2	no	—
560	#562	—	2	2	no	—
561	#559	C₂²×C₁₃	1	1	yes	characteristic
562	#559	C₂²×C₁₃	1	2	yes	—
563	#559	C₂²×C₁₃	1	1	yes	characteristic
564	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
565	#559	C₂²×C₁₃	1	2	yes	complemented
566	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#554	C₂²×C₁₃	1	2	yes	complemented
568	#550	C₂²×C₁₃	1	1	yes	characteristic
569	#550	C₂²×C₁₃	1	2	yes	—
570	#550	C₂²×C₁₃	1	1	yes	characteristic
571	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
572	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
573	#548	—	2	1	no	—
574	#547	—	2	1	no	—
575	#546	—	2	1	no	—
576	#546	—	2	1	no	—
577	#546	—	2	2	no	—
578	#542	—	2	1	no	—
579	#542	C₂²×C₁₃	1	2	yes	—
580	#540	—	2	2	no	—
581	#540	C₂²×C₁₃	1	2	yes	—
582	#539	—	2	2	no	—
583	#536	—	2	1	no	—
584	#535	C₂²×C₁₃	1	2	yes	—
585	#533	C₂²×C₁₃	1	1	yes	characteristic
586	#532	—	2	1	no	—
587	#532	—	2	1	no	—
588	#532	C₂²×C₁₃	1	1	yes	characteristic
589	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
590	#529	C₂²×C₁₃	1	1	yes	characteristic
591	#518	C₂²×C₁₃	1	2	yes	—
592	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
593	#496	C₂²×C₁₃	1	2	yes	—
594	#496	C₂²×C₁₃	1	2	yes	complemented
595	#496	C₂²×C₁₃	1	2	yes	complemented
596	#495	C₂²×C₁₃	1	2	yes	complemented
597	#493	C₂²×C₁₃	1	1	yes	characteristic
598	#493	C₂²×C₁₃	1	1	yes	characteristic
599	#493	C₂²×C₁₃	1	2	yes	complemented
600	#490	C₂²×C₁₃	1	2	yes	—
601	#490	C₂²×C₁₃	1	2	yes	complemented
602	#489	C₂²×C₁₃	1	2	yes	complemented
603	#488	C₂²×C₁₃	1	2	yes	complemented
604	#486	C₂²×C₁₃	1	1	yes	characteristic
605	#486	C₂²×C₁₃	1	1	yes	characteristic
606	#486	C₂²×C₁₃	1	2	yes	complemented
607	#485	C₂²×C₁₃	1	1	yes	characteristic
608	#482	C₂²×C₁₃	1	1	yes	characteristic
609	#482	C₂²×C₁₃	1	2	yes	—
610	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#478	C₂²×C₁₃	1	2	yes	complemented
613	#478	C₂²×C₁₃	1	2	yes	complemented
614	#476	C₂²×C₁₃	1	2	yes	complemented
615	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#474	C₂²×C₁₃	1	2	yes	complemented
618	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#464	C₂²×C₁₃	1	2	yes	complemented
620	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#463	C₂²×C₁₃	1	2	yes	complemented
622	#463	C₂²×C₁₃	1	2	yes	complemented
623	#463	C₂²×C₁₃	1	2	yes	complemented
624	#463	C₂²×C₁₃	1	2	yes	complemented
625	#463	C₂²×C₁₃	1	2	yes	complemented
626	#460	C₂²×C₁₃	1	1	yes	characteristic
627	#460	C₂²×C₁₃	1	1	yes	characteristic
628	#460	C₂²×C₁₃	1	2	yes	complemented
629	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#459	C₂²×C₁₃	1	1	yes	characteristic
631	#459	C₂²×C₁₃	1	2	yes	—
632	#459	C₂²×C₁₃	1	2	yes	—
633	#459	C₂²×C₁₃	1	1	yes	characteristic
634	#459	C₂²×C₁₃	1	2	yes	complemented
635	#459	C₂²×C₁₃	1	2	yes	complemented
636	#459	C₂²×C₁₃	1	2	yes	complemented
637	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#459	C₂²×C₁₃	1	2	yes	complemented
639	#459	C₂²×C₁₃	1	2	yes	complemented
640	#452	C₂²×C₁₃	1	1	yes	characteristic
641	#450	C₂²×C₁₃	1	2	yes	—
642	#449	C₂²×C₁₃	1	1	yes	characteristic
643	#449	C₂²×C₁₃	1	2	yes	—
644	#447	C₂²×C₁₃	1	2	yes	—
645	#447	C₂²×C₁₃	1	2	yes	—
646	#447	C₂²×C₁₃	1	2	yes	—
647	#446	C₂²×C₁₃	1	2	yes	complemented
648	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	#446	C₂²×C₁₃	1	2	yes	complemented
650	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#442	C₂²×C₁₃	1	2	yes	complemented
654	#442	C₂²×C₁₃	1	2	yes	complemented
655	#442	C₂²×C₁₃	1	2	yes	complemented
656	#442	C₂²×C₁₃	1	2	yes	complemented
657	#440	C₂²×C₁₃	1	2	yes	complemented
658	#440	C₂²×C₁₃	1	2	yes	complemented
659	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
663	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
665	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
666	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
667	#433	C₂²×C₁₃	1	2	yes	—
668	#433	C₂²×C₁₃	1	2	yes	—
669	#432	C₂²×C₁₃	1	1	yes	characteristic
670	#431	C₂²×C₁₃	1	1	yes	characteristic
671	C₂²×C₁₃	—	2	1	no	—
672	C₂²×C₁₃	—	2	1	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	2	no	—
676	C₂²×C₁₃	—	4	2	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	2	no	—
681	C₂²×C₁₃	—	4	2	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	—	4	1	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	4	2	no	—
688	C₂²×C₁₃	—	4	2	no	—
689	C₂²×C₁₃	—	16	4	no	—
690	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
691	C₄×C₁₃	—	2	1	no	—
692	C₄×C₁₃	—	2	1	no	—
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	2	2	no	—
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	1	no	—
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	2	2	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	—	4	1	no	—
701	C₄×C₁₃	—	4	1	no	—
702	C₄×C₁₃	—	4	1	no	—
703	C₄×C₁₃	—	4	1	no	—
704	C₄×C₁₃	—	4	1	no	—
705	C₄×C₁₃	—	4	2	no	—
706	C₄×C₁₃	#576	1	2	yes	—
707	C₄×C₁₃	#585	1	1	yes	characteristic
708	C₄×C₁₃	#585	1	1	yes	characteristic
709	C₂×#41	—	2	1	no	—
710	C₂×#41	—	2	1	no	—
711	C₂×#41	—	2	2	no	—
712	C₂×#41	—	2	1	no	—
713	C₂×#41	—	2	1	no	—
714	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
715	C₂²×Q₈	—	2	1	no	—
716	C₂²×D₄	—	2	1	no	—
717	C₂²×D₄	—	2	1	no	—
718	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
719	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
723	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂×D₈	C₂³×C₁₃	1	2	yes	—
726	C₂×D₈	C₂³×C₁₃	1	2	yes	—
727	C₂×D₈	C₂³×C₁₃	1	2	yes	—
728	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×D₈	C₂³×C₁₃	1	2	yes	—
730	C₂×D₈	C₂³×C₁₃	1	2	yes	—
731	C₂×D₈	C₂³×C₁₃	1	2	yes	—
732	C₂×D₈	C₂³×C₁₃	1	2	yes	—
733	C₄⋊Q₈	—	2	1	no	—
734	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
735	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
738	#127	—	2	1	no	—
739	#127	—	2	1	no	—
740	#127	C₂³×C₁₃	1	2	yes	—
741	#127	C₂³×C₁₃	1	1	yes	characteristic
742	#127	C₂³×C₁₃	1	1	yes	characteristic
743	#127	C₂³×C₁₃	1	1	yes	characteristic
744	#127	C₂³×C₁₃	1	2	yes	—
745	#127	C₂³×C₁₃	1	2	yes	—
746	#127	C₂³×C₁₃	1	2	yes	—
747	#126	—	2	2	no	—
748	#126	—	2	1	no	—
749	#125	—	2	2	no	—
750	#125	D₄×C₁₃	1	2	yes	—
751	#125	C₂³×C₁₃	1	1	yes	characteristic
752	#125	C₂³×C₁₃	1	2	yes	—
753	#124	—	2	1	no	—
754	#124	—	2	1	no	—
755	#124	—	2	2	no	—
756	#124	—	2	1	no	—
757	#124	—	2	2	no	—
758	#124	—	2	2	no	—
759	#124	—	2	1	no	—
760	#124	C₂³×C₁₃	1	1	yes	characteristic
761	#124	C₂³×C₁₃	1	2	yes	—
762	#124	C₂³×C₁₃	1	2	yes	—
763	#124	C₂³×C₁₃	1	2	yes	—
764	#123	—	2	1	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
782	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
783	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	#121	—	2	1	no	—
786	#121	—	2	2	no	—
787	#121	—	2	2	no	—
788	#121	—	2	1	no	—
789	#121	—	2	1	no	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	—	2	1	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	C₂³×C₁₃	1	1	yes	characteristic
800	#121	C₂³×C₁₃	1	2	yes	—
801	#120	—	2	2	no	—
802	#120	—	2	2	no	—
803	C₄×Q₈	—	2	1	no	—
804	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
807	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
808	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
809	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	2	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	2	no	—
819	C₄×D₄	—	2	2	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
824	C₄×D₄	C₂³×C₁₃	1	2	yes	—
825	C₄×D₄	C₂³×C₁₃	1	2	yes	—
826	C₄×D₄	C₂³×C₁₃	1	2	yes	—
827	C₄×D₄	C₂³×C₁₃	1	2	yes	—
828	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
829	C₄×D₄	C₂³×C₁₃	1	2	yes	—
830	C₄×D₄	C₂³×C₁₃	1	2	yes	—
831	C₄×D₄	C₂³×C₁₃	1	2	yes	—
832	C₄×D₄	C₂³×C₁₃	1	2	yes	—
833	#117	—	2	1	no	—
834	#117	—	2	1	no	—
835	#117	C₂³×C₁₃	1	1	yes	characteristic
836	#117	C₂³×C₁₃	1	2	yes	—
837	C₂×C₄⋊C₄	—	2	2	no	—
838	C₂×C₂²⋊C₄	—	2	2	no	—
839	C₂×C₂²⋊C₄	—	2	2	no	—
840	C₂×C₄²	—	2	1	no	—
841	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
842	#107	C₂³×C₁₃	1	1	yes	characteristic
843	#107	C₂³×C₁₃	1	1	yes	characteristic
844	#107	C₂³×C₁₃	1	2	yes	—
845	#106	C₂³×C₁₃	1	2	yes	—
846	#106	C₂³×C₁₃	1	1	yes	characteristic
847	#106	C₂³×C₁₃	1	1	yes	characteristic
848	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
850	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
853	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
854	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	1	yes	characteristic
857	#103	C₂³×C₁₃	1	1	yes	characteristic
858	#103	C₂³×C₁₃	1	1	yes	characteristic
859	#103	C₂³×C₁₃	1	1	yes	characteristic
860	#103	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	1	yes	characteristic
862	#102	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	1	yes	characteristic
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	1	yes	characteristic
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	2	yes	—
874	#102	C₂³×C₁₃	1	2	yes	—
875	#102	C₂³×C₁₃	1	2	yes	—
876	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
877	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
879	#97	C₂³×C₁₃	1	2	yes	—
880	#97	C₂³×C₁₃	1	2	yes	—
881	#97	C₂³×C₁₃	1	2	yes	—
882	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
883	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
884	C₄×C₈	C₂³×C₁₃	1	2	yes	—
885	C₄×C₈	C₂³×C₁₃	1	2	yes	—
886	C₂×C₁₃	—	4	1	no	—
887	C₂×C₁₃	—	8	1	no	—
888	C₂×C₁₃	—	8	2	no	—
889	C₂×C₁₃	—	8	1	no	—
890	C₂×C₁₃	—	8	2	no	—
891	C₂×C₁₃	—	8	2	no	—
892	C₂×C₁₃	#3487	1	1	yes	characteristic
893	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
894	C₂×C₁₃	#3585	1	1	yes	characteristic
895	C₂⁴	—	2	2	no	—
896	#41	—	4	1	no	—
897	#41	—	4	1	no	—
898	#41	—	8	2	no	—
899	#41	—	8	2	no	—
900	#41	—	8	2	no	—
901	#41	—	8	2	no	—
902	#41	—	8	4	no	—
903	C₂×Q₈	—	2	1	no	—
904	C₂×Q₈	—	2	2	no	—
905	C₂×Q₈	—	8	2	no	—
906	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
907	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
908	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
909	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	2	1	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	4	2	no	—
930	C₂×D₄	—	4	2	no	—
931	C₂×D₄	—	8	2	no	—
932	C₂×D₄	—	8	2	no	—
933	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
934	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
935	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	1	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
951	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
952	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
953	Q₁₆	—	4	1	no	—
954	SD₁₆	—	4	1	no	—
955	SD₁₆	—	4	2	no	—
956	SD₁₆	—	4	1	no	—
957	SD₁₆	—	4	2	no	—
958	SD₁₆	—	4	2	no	—
959	D₈	—	4	1	no	—
960	D₈	—	4	2	no	—
961	D₈	—	4	2	no	—
962	D₈	—	4	2	no	—
963	D₈	—	4	2	no	—
964	D₈	—	4	2	no	—
965	D₈	—	4	2	no	—
966	D₈	—	4	2	no	—
967	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
968	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
970	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
971	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
989	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
990	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
993	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
994	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
996	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₂²⋊C₄	—	2	1	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1023	C₄²	—	2	1	no	—
1024	C₄²	—	2	1	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	2	no	—
1028	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1029	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1030	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₄²	C₂⁴×C₁₃	1	2	yes	—
1032	C₄²	C₂⁴×C₁₃	1	2	yes	—
1033	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₁₃	#61920	1	1	yes	characteristic, direct product factor, Sylow
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	2	no	—
1037	C₂³	—	2	2	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	2	1	no	—
1040	C₂³	—	4	4	no	—
1041	C₂³	—	8	2	no	—
1042	C₂³	—	8	2	no	—
1043	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	2	1	no	—
1048	Q₈	—	2	1	no	—
1049	Q₈	—	2	1	no	—
1050	Q₈	—	4	2	no	—
1051	Q₈	—	4	2	no	—
1052	Q₈	—	8	2	no	—
1053	D₄	—	2	1	no	—
1054	D₄	—	2	2	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	2	no	—
1058	D₄	—	2	2	no	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	2	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	1	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	4	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	8	2	no	—
1070	D₄	—	8	1	no	—
1071	D₄	—	8	1	no	—
1072	D₄	—	8	1	no	—
1073	D₄	—	8	2	no	—
1074	D₄	—	8	2	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	1	no	—
1080	D₄	—	8	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	4	1	no	—
1092	C₂×C₄	—	4	2	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	—	8	2	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1105	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1107	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1108	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1109	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1110	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1112	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1113	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1114	C₈	—	2	1	no	—
1115	C₈	—	2	1	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	2	no	—
1118	C₈	—	2	1	no	—
1119	C₈	—	2	2	no	—
1120	C₂²	—	2	1	no	—
1121	C₂²	—	2	1	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	2	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	2	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	1	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	2	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	2	no	—
1138	C₂²	—	16	4	no	—
1139	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1140	C₄	—	2	1	no	—
1141	C₄	—	2	2	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	2	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	1	no	—
1154	C₄	—	4	1	no	—
1155	C₄	C₁₃×#576	1	2	yes	—
1156	C₄	C₁₃×#585	1	1	yes	characteristic
1157	C₄	C₁₃×#585	1	1	yes	characteristic
1158	C₂	—	4	1	no	—
1159	C₂	—	8	2	no	—
1160	C₂	—	8	2	no	—
1161	C₂	—	8	1	no	—
1162	C₂	—	8	1	no	—
1163	C₂	—	8	2	no	—
1164	C₂	C₁₃×#3487	1	1	yes	characteristic
1165	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1166	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×#3554	C₂	semidirect
2. C₁₃×#3508	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3399	C₂	semidirect
5. C₁₃×#3399	C₂	semidirect
6. C₁₃×#3399	C₂	semidirect
7. C₁₃×#3396	C₂	semidirect
8. C₁₃×#3391	C₂	semidirect
9. C₁₃×#3373	C₂	semidirect
10. C₁₃×#3370	C₂	semidirect
11. C₁₃×#3368	C₂	semidirect
12. C₁₃×#3366	C₂	semidirect
13. C₁₃×#3365	C₂	semidirect
14. C₁₃×#3358	C₂	semidirect
15. C₁₃×#3224	C₂	semidirect
16. C₁₃×#3220	C₂	semidirect
17. C₁₃×#3217	C₂	semidirect
18. C₁₃×#3205	C₂	semidirect
19. C₁₃×#3122	C₂	semidirect
20. C₁₃×#3118	C₂	semidirect
21. C₁₃×#3115	C₂	semidirect
22. C₁₃×#3102	C₂	semidirect
23. C₁₃×#2985	C₂	semidirect
28. C₁₃×#559	C₂²	semidirect
29. C₁₃×#559	C₂²	semidirect
30. C₁₃×#557	C₂²	semidirect
31. C₁₃×#554	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
58. C₁₃×#496	C₂²	semidirect
59. C₁₃×#496	C₂²	semidirect
60. C₁₃×#495	C₂²	semidirect
63. C₁₃×#493	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×#476	C₂²	semidirect
79. C₁₃×#475	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
81. C₁₃×#474	C₂²	semidirect
82. C₁₃×#464	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
84. C₁₃×#463	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
92. C₁₃×#460	C₂²	semidirect
93. C₁₃×#460	C₂²	semidirect
98. C₁₃×#459	C₂²	semidirect
99. C₁₃×#459	C₂²	semidirect
100. C₁₃×#459	C₂²	semidirect
101. C₁₃×#459	C₂²	semidirect
102. C₁₃×#459	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×#442	C₂²	semidirect
119. C₁₃×#442	C₂²	semidirect
120. C₁₃×#442	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×D₈	C₂²	semidirect
128. C₄×C₁₃×D₈	C₂²	semidirect
129. C₄×C₁₃×D₈	C₂²	semidirect
130. C₄×C₁₃×D₈	C₂²	semidirect
312. #61920	C₁₃	direct (N × H)
452. #3554	C₂×C₁₃	semidirect
453. #3508	C₂×C₁₃	semidirect
454. #3403	C₂×C₁₃	semidirect
455. #3399	C₂×C₁₃	semidirect
456. #3399	C₂×C₁₃	semidirect
457. #3399	C₂×C₁₃	semidirect
458. #3396	C₂×C₁₃	semidirect
459. #3391	C₂×C₁₃	semidirect
460. #3373	C₂×C₁₃	semidirect
461. #3370	C₂×C₁₃	semidirect
462. #3368	C₂×C₁₃	semidirect
463. #3366	C₂×C₁₃	semidirect
464. #3365	C₂×C₁₃	semidirect
465. #3358	C₂×C₁₃	semidirect
466. #3224	C₂×C₁₃	semidirect
467. #3220	C₂×C₁₃	semidirect
468. #3217	C₂×C₁₃	semidirect
469. #3205	C₂×C₁₃	semidirect
470. #3122	C₂×C₁₃	semidirect
471. #3118	C₂×C₁₃	semidirect
472. #3115	C₂×C₁₃	semidirect
473. #3102	C₂×C₁₃	semidirect
474. #2985	C₂×C₁₃	semidirect
564. #559	C₂²×C₁₃	semidirect
565. #559	C₂²×C₁₃	semidirect
566. #557	C₂²×C₁₃	semidirect
567. #554	C₂²×C₁₃	semidirect
571. #550	C₂²×C₁₃	semidirect
572. D₄×Q₈	C₂²×C₁₃	semidirect
594. #496	C₂²×C₁₃	semidirect
595. #496	C₂²×C₁₃	semidirect
596. #495	C₂²×C₁₃	semidirect
599. #493	C₂²×C₁₃	semidirect
601. #490	C₂²×C₁₃	semidirect
602. #489	C₂²×C₁₃	semidirect
603. #488	C₂²×C₁₃	semidirect
606. #486	C₂²×C₁₃	semidirect
610. #479	C₂²×C₁₃	semidirect
611. #478	C₂²×C₁₃	semidirect
612. #478	C₂²×C₁₃	semidirect
613. #478	C₂²×C₁₃	semidirect
614. #476	C₂²×C₁₃	semidirect
615. #475	C₂²×C₁₃	semidirect
616. #474	C₂²×C₁₃	semidirect
617. #474	C₂²×C₁₃	semidirect
618. #464	C₂²×C₁₃	semidirect
619. #464	C₂²×C₁₃	semidirect
620. #463	C₂²×C₁₃	semidirect
621. #463	C₂²×C₁₃	semidirect
622. #463	C₂²×C₁₃	semidirect
623. #463	C₂²×C₁₃	semidirect
624. #463	C₂²×C₁₃	semidirect
625. #463	C₂²×C₁₃	semidirect
628. #460	C₂²×C₁₃	semidirect
629. #460	C₂²×C₁₃	semidirect
634. #459	C₂²×C₁₃	semidirect
635. #459	C₂²×C₁₃	semidirect
636. #459	C₂²×C₁₃	semidirect
637. #459	C₂²×C₁₃	semidirect
638. #459	C₂²×C₁₃	semidirect
639. #459	C₂²×C₁₃	semidirect
647. #446	C₂²×C₁₃	semidirect
648. #446	C₂²×C₁₃	semidirect
649. #446	C₂²×C₁₃	semidirect
650. #446	C₂²×C₁₃	semidirect
651. C₈×Q₈	C₂²×C₁₃	semidirect
652. C₈×Q₈	C₂²×C₁₃	semidirect
653. #442	C₂²×C₁₃	semidirect
654. #442	C₂²×C₁₃	semidirect
655. #442	C₂²×C₁₃	semidirect
656. #442	C₂²×C₁₃	semidirect
657. #440	C₂²×C₁₃	semidirect
658. #440	C₂²×C₁₃	semidirect
659. C₄×Q₁₆	C₂²×C₁₃	semidirect
660. C₄×SD₁₆	C₂²×C₁₃	semidirect
661. C₄×SD₁₆	C₂²×C₁₃	semidirect
662. C₄×SD₁₆	C₂²×C₁₃	semidirect
663. C₄×D₈	C₂²×C₁₃	semidirect
664. C₄×D₈	C₂²×C₁₃	semidirect
665. C₄×D₈	C₂²×C₁₃	semidirect
666. C₄×D₈	C₂²×C₁₃	semidirect
1034. C₁₃	#61920	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×#3554	2
C₁₃×#3508	2
C₁₃×#3403	2
C₁₃×#3399	2
C₁₃×#3396	2
C₁₃×#3391	2
C₁₃×#3373	2
C₁₃×#3370	2
C₁₃×#3368	2
C₁₃×#3366	2
C₁₃×#3365	2
C₁₃×#3358	2
C₁₃×#3224	2
C₁₃×#3220	2
C₁₃×#3217	2
C₁₃×#3205	2
C₁₃×#3122	2
C₁₃×#3118	2
C₁₃×#3115	2
C₁₃×#3102	2
C₁₃×#2985	2
#61920	13

Subgroups — C13×#61920 #15748259

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61920 #15748259