Subgroups — C₁₃×#61863 #15748202

Order 3328.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1120 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×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3389	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3386	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3381	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3380	C₂	1	2	yes	maximal, complemented
8	Q₈×C₁₃×D₈	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×#3366	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3361	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3228	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×#3105	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2986	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#562	—	2	2	no	—
25	C₁₃×#559	C₂²	1	2	yes	complemented
26	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#554	—	2	1	no	—
29	C₁₃×#554	—	2	2	no	—
30	C₁₃×#554	C₂²	1	1	yes	characteristic
31	C₁₃×#554	C₂²	1	2	yes	—
32	C₁₃×#554	C₂²	1	1	yes	characteristic
33	C₁₃×#554	C₂²	1	2	yes	—
34	C₁₃×#554	C₂²	1	2	yes	complemented
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	—	2	1	no	—
37	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#548	—	2	1	no	—
41	C₁₃×#547	—	2	1	no	—
42	C₁₃×#544	C₂²	1	2	yes	—
43	C₁₃×#543	—	2	2	no	—
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#540	C₂²	1	2	yes	—
47	C₁₃×#539	—	2	2	no	—
48	C₁₃×#536	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#529	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
54	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
55	C₁₃×#518	C₂²	1	2	yes	—
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	2	yes	complemented
58	C₁₃×#501	C₂²	1	2	yes	complemented
59	C₁₃×#500	C₂²	1	2	yes	complemented
60	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#499	C₂²	1	2	yes	complemented
62	C₁₃×#499	C₂²	1	2	yes	complemented
63	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#490	C₂²	1	2	yes	complemented
65	C₁₃×#489	C₂²	1	2	yes	complemented
66	C₁₃×#488	C₂²	1	2	yes	complemented
67	C₁₃×#488	C₂²	1	2	yes	complemented
68	C₁₃×#486	C₂²	1	2	yes	complemented
69	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#485	C₂²	1	2	yes	—
72	C₁₃×#484	C₂²	1	1	yes	characteristic
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#482	C₂²	1	2	yes	—
75	C₁₃×#482	C₂²	1	2	yes	—
76	C₁₃×#481	C₂²	1	1	yes	characteristic
77	C₁₃×#480	C₂²	1	2	yes	—
78	C₁₃×#479	C₂²	1	2	yes	complemented
79	C₁₃×#478	C₂²	1	1	yes	characteristic
80	C₁₃×#478	C₂²	1	1	yes	characteristic
81	C₁₃×#478	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	2	yes	—
83	C₁₃×#478	C₂²	1	2	yes	complemented
84	C₁₃×#478	C₂²	1	2	yes	complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#478	C₂²	1	2	yes	complemented
87	C₁₃×#478	C₂²	1	2	yes	complemented
88	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#477	C₂²	1	2	yes	complemented
90	C₁₃×#476	C₂²	1	2	yes	—
91	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#476	C₂²	1	2	yes	complemented
93	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#474	C₂²	1	1	yes	characteristic
95	C₁₃×#474	C₂²	1	1	yes	characteristic
96	C₁₃×#474	C₂²	1	2	yes	—
97	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#474	C₂²	1	2	yes	complemented
99	C₁₃×#474	C₂²	1	2	yes	complemented
100	C₁₃×#463	C₂²	1	1	yes	characteristic
101	C₁₃×#463	C₂²	1	1	yes	characteristic
102	C₁₃×#463	C₂²	1	2	yes	—
103	C₁₃×#463	C₂²	1	2	yes	—
104	C₁₃×#459	C₂²	1	1	yes	characteristic
105	C₁₃×#459	C₂²	1	1	yes	characteristic
106	C₁₃×#459	C₂²	1	2	yes	—
107	C₁₃×#459	C₂²	1	2	yes	—
108	C₁₃×#450	C₂²	1	1	yes	characteristic
109	C₁₃×#447	C₂²	1	2	yes	—
110	C₁₃×#447	C₂²	1	1	yes	characteristic
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#446	C₂²	1	2	yes	complemented
113	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
114	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
117	C₁₃×#442	C₂²	1	2	yes	—
118	C₁₃×#442	C₂²	1	2	yes	—
119	C₁₃×#442	C₂²	1	2	yes	—
120	C₁₃×#440	C₂²	1	2	yes	—
121	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
122	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
124	C₄×C₁₃×D₈	C₂²	1	2	yes	—
125	C₄×C₁₃×D₈	C₂²	1	2	yes	—
126	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
127	C₄×C₁₃×D₈	C₂²	1	2	yes	—
128	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
129	C₄×C₁₃×D₈	C₂²	1	2	yes	—
130	C₄×C₁₃×D₈	C₂²	1	2	yes	—
131	C₁₃×#433	C₂²	1	2	yes	—
132	C₁₃×#433	C₂²	1	2	yes	—
133	C₁₃×#431	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	C₂²×Q₈×C₁₃	—	2	1	no	—
138	C₂²×Q₈×C₁₃	—	2	1	no	—
139	C₂²×Q₈×C₁₃	—	2	1	no	—
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	—	2	1	no	—
142	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×D₈	C₂³	1	2	yes	—
145	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×D₈	C₂³	1	2	yes	—
147	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
148	C₁₃×C₄⋊Q₈	—	2	1	no	—
149	C₁₃×C₄⋊Q₈	—	2	2	no	—
150	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
151	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
152	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₁₃×#127	C₂³	1	1	yes	characteristic
159	C₁₃×#127	C₂³	1	2	yes	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	—	2	1	no	—
162	C₁₃×#125	—	2	2	no	—
163	C₁₃×#125	—	2	2	no	—
164	C₁₃×#125	D₄	1	2	yes	—
165	C₁₃×#125	C₂³	1	1	yes	characteristic
166	C₁₃×#125	C₂³	1	2	yes	—
167	C₁₃×#125	C₂³	1	2	yes	—
168	C₁₃×#125	C₂³	1	2	yes	—
169	C₁₃×#125	C₂³	1	2	yes	—
170	C₁₃×#124	—	2	1	no	—
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	2	no	—
173	C₁₃×#124	—	2	1	no	—
174	C₁₃×#124	C₂³	1	1	yes	characteristic
175	C₁₃×#124	C₂³	1	2	yes	—
176	C₁₃×#123	—	2	1	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	1	no	—
184	C₁₃×C₂²⋊Q₈	—	2	1	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	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	2	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	1	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	—	2	1	no	—
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	2	yes	—
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₁₃×#117	—	2	1	no	—
248	C₁₃×#117	C₂³	1	2	yes	—
249	C₁₃×#117	C₂³	1	2	yes	—
250	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
251	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
252	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
258	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
260	C₁₃×#107	C₂³	1	2	yes	—
261	C₁₃×#107	C₂³	1	2	yes	—
262	C₁₃×#107	C₂³	1	2	yes	—
263	C₁₃×#107	C₂³	1	1	yes	characteristic
264	C₁₃×#107	C₂³	1	2	yes	—
265	C₁₃×#107	C₂³	1	2	yes	—
266	C₁₃×#107	C₂³	1	1	yes	characteristic
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#106	C₂³	1	2	yes	—
269	C₁₃×#106	C₂³	1	1	yes	characteristic
270	C₁₃×#106	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	2	yes	—
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	1	yes	characteristic
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#102	C₂³	1	1	yes	characteristic
287	C₁₃×#102	C₂³	1	2	yes	—
288	C₁₃×#102	C₂³	1	1	yes	characteristic
289	C₁₃×#102	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	1	yes	characteristic
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
303	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₁₃×#97	C₂³	1	2	yes	—
306	C₁₃×#97	C₂³	1	2	yes	—
307	C₄×C₈×C₁₃	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	#61863	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	1	no	—
314	C₁₃×#41	—	8	2	no	—
315	C₁₃×#41	—	8	2	no	—
316	C₂×Q₈×C₁₃	—	2	1	no	—
317	C₂×Q₈×C₁₃	—	2	1	no	—
318	C₂×Q₈×C₁₃	—	2	1	no	—
319	C₂×Q₈×C₁₃	—	2	2	no	—
320	C₂×Q₈×C₁₃	—	2	2	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	8	2	no	—
323	C₂×Q₈×C₁₃	—	8	2	no	—
324	C₂×Q₈×C₁₃	—	8	2	no	—
325	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
340	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
341	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	2	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	—	8	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×SD₁₆	—	2	2	no	—
361	C₁₃×SD₁₆	—	2	2	no	—
362	C₁₃×D₈	—	2	4	no	—
363	C₁₃×D₈	—	2	2	no	—
364	C₁₃×D₈	—	2	4	no	—
365	C₁₃×D₈	—	2	2	no	—
366	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
368	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
393	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
394	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
395	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
396	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
397	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
398	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
399	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₂²⋊C₄	—	2	2	no	—
409	C₁₃×C₂²⋊C₄	—	2	1	no	—
410	C₁₃×C₂²⋊C₄	—	2	2	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	1	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₄²×C₁₃	—	2	1	no	—
432	C₄²×C₁₃	—	2	2	no	—
433	C₄²×C₁₃	—	2	2	no	—
434	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
435	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
436	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
438	C₄²×C₁₃	C₂⁴	1	2	yes	—
439	C₄²×C₁₃	C₂⁴	1	2	yes	—
440	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
442	#3389	C₂×C₁₃	1	2	yes	complemented
443	#3386	C₂×C₁₃	1	1	yes	characteristic, complemented
444	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
445	#3381	C₂×C₁₃	1	1	yes	characteristic, complemented
446	#3380	C₂×C₁₃	1	2	yes	complemented
447	Q₈×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3370	C₂×C₁₃	1	2	yes	complemented
450	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3361	C₂×C₁₃	1	2	yes	complemented
453	#3358	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3243	C₂×C₁₃	1	2	yes	complemented
455	#3241	C₂×C₁₃	1	2	yes	complemented
456	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3228	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3122	C₂×C₁₃	1	2	yes	complemented
459	#3118	C₂×C₁₃	1	2	yes	complemented
460	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#2986	C₂×C₁₃	1	1	yes	characteristic, complemented
463	C₂³×C₁₃	—	2	4	no	—
464	C₂³×C₁₃	—	2	1	no	—
465	C₂³×C₁₃	—	2	1	no	—
466	C₂³×C₁₃	—	2	2	no	—
467	C₂³×C₁₃	—	2	1	no	—
468	C₂³×C₁₃	—	8	1	no	—
469	C₂³×C₁₃	—	8	1	no	—
470	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
471	Q₈×C₁₃	—	2	2	no	—
472	Q₈×C₁₃	—	2	2	no	—
473	Q₈×C₁₃	—	2	1	no	—
474	Q₈×C₁₃	—	2	1	no	—
475	Q₈×C₁₃	—	4	2	no	—
476	Q₈×C₁₃	—	4	2	no	—
477	Q₈×C₁₃	—	4	2	no	—
478	Q₈×C₁₃	—	8	1	no	—
479	Q₈×C₁₃	—	8	2	no	—
480	Q₈×C₁₃	—	8	2	no	—
481	Q₈×C₁₃	—	8	2	no	—
482	D₄×C₁₃	—	2	4	no	—
483	D₄×C₁₃	—	2	1	no	—
484	D₄×C₁₃	—	2	1	no	—
485	D₄×C₁₃	—	2	1	no	—
486	D₄×C₁₃	—	2	2	no	—
487	D₄×C₁₃	—	2	1	no	—
488	D₄×C₁₃	—	2	2	no	—
489	D₄×C₁₃	—	4	2	no	—
490	D₄×C₁₃	—	8	1	no	—
491	D₄×C₁₃	—	8	2	no	—
492	D₄×C₁₃	—	8	2	no	—
493	D₄×C₁₃	—	8	1	no	—
494	D₄×C₁₃	—	8	2	no	—
495	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
496	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	1	no	—
499	C₂×C₄×C₁₃	—	2	1	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	4	1	no	—
509	C₂×C₄×C₁₃	—	4	2	no	—
510	C₂×C₄×C₁₃	—	4	2	no	—
511	C₂×C₄×C₁₃	—	4	2	no	—
512	C₂×C₄×C₁₃	—	8	2	no	—
513	C₂×C₄×C₁₃	—	8	2	no	—
514	C₂×C₄×C₁₃	—	8	2	no	—
515	C₂×C₄×C₁₃	—	8	1	no	—
516	C₂×C₄×C₁₃	—	8	1	no	—
517	C₂×C₄×C₁₃	—	8	2	no	—
518	C₂×C₄×C₁₃	—	8	2	no	—
519	C₂×C₄×C₁₃	—	8	2	no	—
520	C₂×C₄×C₁₃	—	8	2	no	—
521	C₂×C₄×C₁₃	—	8	2	no	—
522	C₂×C₄×C₁₃	—	8	1	no	—
523	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
526	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
529	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
530	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
531	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
533	C₈×C₁₃	—	2	2	no	—
534	C₈×C₁₃	—	2	1	no	—
535	C₈×C₁₃	—	2	2	no	—
536	C₈×C₁₃	—	2	1	no	—
537	C₈×C₁₃	—	2	1	no	—
538	C₈×C₁₃	—	2	1	no	—
539	#562	—	2	2	no	—
540	#559	C₂²×C₁₃	1	2	yes	complemented
541	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
542	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
543	#554	—	2	1	no	—
544	#554	—	2	2	no	—
545	#554	C₂²×C₁₃	1	1	yes	characteristic
546	#554	C₂²×C₁₃	1	2	yes	—
547	#554	C₂²×C₁₃	1	1	yes	characteristic
548	#554	C₂²×C₁₃	1	2	yes	—
549	#554	C₂²×C₁₃	1	2	yes	complemented
550	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
551	D₄×Q₈	—	2	1	no	—
552	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
553	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
554	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
555	#548	—	2	1	no	—
556	#547	—	2	1	no	—
557	#544	C₂²×C₁₃	1	2	yes	—
558	#543	—	2	2	no	—
559	#542	—	2	1	no	—
560	#542	C₂²×C₁₃	1	2	yes	—
561	#540	C₂²×C₁₃	1	2	yes	—
562	#539	—	2	2	no	—
563	#536	—	2	1	no	—
564	#533	C₂²×C₁₃	1	1	yes	characteristic
565	#533	C₂²×C₁₃	1	1	yes	characteristic
566	#532	C₂²×C₁₃	1	1	yes	characteristic
567	#529	C₂²×C₁₃	1	1	yes	characteristic
568	C₂×C₂²⋊Q₈	—	2	1	no	—
569	C₂×C₂²⋊Q₈	—	2	1	no	—
570	#518	C₂²×C₁₃	1	2	yes	—
571	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
572	#501	C₂²×C₁₃	1	2	yes	complemented
573	#501	C₂²×C₁₃	1	2	yes	complemented
574	#500	C₂²×C₁₃	1	2	yes	complemented
575	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	#499	C₂²×C₁₃	1	2	yes	complemented
577	#499	C₂²×C₁₃	1	2	yes	complemented
578	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
579	#490	C₂²×C₁₃	1	2	yes	complemented
580	#489	C₂²×C₁₃	1	2	yes	complemented
581	#488	C₂²×C₁₃	1	2	yes	complemented
582	#488	C₂²×C₁₃	1	2	yes	complemented
583	#486	C₂²×C₁₃	1	2	yes	complemented
584	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
585	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
586	#485	C₂²×C₁₃	1	2	yes	—
587	#484	C₂²×C₁₃	1	1	yes	characteristic
588	#482	C₂²×C₁₃	1	2	yes	—
589	#482	C₂²×C₁₃	1	2	yes	—
590	#482	C₂²×C₁₃	1	2	yes	—
591	#481	C₂²×C₁₃	1	1	yes	characteristic
592	#480	C₂²×C₁₃	1	2	yes	—
593	#479	C₂²×C₁₃	1	2	yes	complemented
594	#478	C₂²×C₁₃	1	1	yes	characteristic
595	#478	C₂²×C₁₃	1	1	yes	characteristic
596	#478	C₂²×C₁₃	1	2	yes	—
597	#478	C₂²×C₁₃	1	2	yes	—
598	#478	C₂²×C₁₃	1	2	yes	complemented
599	#478	C₂²×C₁₃	1	2	yes	complemented
600	#478	C₂²×C₁₃	1	2	yes	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	#477	C₂²×C₁₃	1	2	yes	complemented
605	#476	C₂²×C₁₃	1	2	yes	—
606	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#476	C₂²×C₁₃	1	2	yes	complemented
608	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#474	C₂²×C₁₃	1	1	yes	characteristic
610	#474	C₂²×C₁₃	1	1	yes	characteristic
611	#474	C₂²×C₁₃	1	2	yes	—
612	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#474	C₂²×C₁₃	1	2	yes	complemented
614	#474	C₂²×C₁₃	1	2	yes	complemented
615	#463	C₂²×C₁₃	1	1	yes	characteristic
616	#463	C₂²×C₁₃	1	1	yes	characteristic
617	#463	C₂²×C₁₃	1	2	yes	—
618	#463	C₂²×C₁₃	1	2	yes	—
619	#459	C₂²×C₁₃	1	1	yes	characteristic
620	#459	C₂²×C₁₃	1	1	yes	characteristic
621	#459	C₂²×C₁₃	1	2	yes	—
622	#459	C₂²×C₁₃	1	2	yes	—
623	#450	C₂²×C₁₃	1	1	yes	characteristic
624	#447	C₂²×C₁₃	1	2	yes	—
625	#447	C₂²×C₁₃	1	1	yes	characteristic
626	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#446	C₂²×C₁₃	1	2	yes	complemented
628	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
632	#442	C₂²×C₁₃	1	2	yes	—
633	#442	C₂²×C₁₃	1	2	yes	—
634	#442	C₂²×C₁₃	1	2	yes	—
635	#440	C₂²×C₁₃	1	2	yes	—
636	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
637	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
638	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
639	C₄×D₈	C₂²×C₁₃	1	2	yes	—
640	C₄×D₈	C₂²×C₁₃	1	2	yes	—
641	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
642	C₄×D₈	C₂²×C₁₃	1	2	yes	—
643	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
644	C₄×D₈	C₂²×C₁₃	1	2	yes	—
645	C₄×D₈	C₂²×C₁₃	1	2	yes	—
646	#433	C₂²×C₁₃	1	2	yes	—
647	#433	C₂²×C₁₃	1	2	yes	—
648	#431	C₂²×C₁₃	1	1	yes	characteristic
649	#431	C₂²×C₁₃	1	1	yes	characteristic
650	C₂²×C₁₃	—	2	1	no	—
651	C₂²×C₁₃	—	2	1	no	—
652	C₂²×C₁₃	—	2	2	no	—
653	C₂²×C₁₃	—	2	2	no	—
654	C₂²×C₁₃	—	2	1	no	—
655	C₂²×C₁₃	—	4	1	no	—
656	C₂²×C₁₃	—	4	1	no	—
657	C₂²×C₁₃	—	4	1	no	—
658	C₂²×C₁₃	—	4	1	no	—
659	C₂²×C₁₃	—	4	2	no	—
660	C₂²×C₁₃	—	4	1	no	—
661	C₂²×C₁₃	—	4	2	no	—
662	C₂²×C₁₃	—	4	1	no	—
663	C₂²×C₁₃	—	4	1	no	—
664	C₂²×C₁₃	—	4	2	no	—
665	C₂²×C₁₃	—	8	4	no	—
666	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
667	C₄×C₁₃	—	2	1	no	—
668	C₄×C₁₃	—	2	1	no	—
669	C₄×C₁₃	—	2	2	no	—
670	C₄×C₁₃	—	2	2	no	—
671	C₄×C₁₃	—	2	1	no	—
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	2	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	4	1	no	—
676	C₄×C₁₃	—	4	2	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	1	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	—	4	2	no	—
682	C₄×C₁₃	—	4	2	no	—
683	C₄×C₁₃	#576	1	2	yes	—
684	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
685	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
686	C₂×#41	—	2	1	no	—
687	C₂×#41	—	2	1	no	—
688	C₂²×Q₈	—	2	1	no	—
689	C₂²×Q₈	—	2	1	no	—
690	C₂²×Q₈	—	2	1	no	—
691	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
692	C₂³×C₄	—	2	1	no	—
693	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×D₈	C₂³×C₁₃	1	2	yes	—
696	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×D₈	C₂³×C₁₃	1	2	yes	—
698	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
699	C₄⋊Q₈	—	2	1	no	—
700	C₄⋊Q₈	—	2	2	no	—
701	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
702	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
703	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
704	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
705	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
706	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
707	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
708	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
709	#127	C₂³×C₁₃	1	1	yes	characteristic
710	#127	C₂³×C₁₃	1	2	yes	—
711	#126	—	2	2	no	—
712	#126	—	2	1	no	—
713	#125	—	2	2	no	—
714	#125	—	2	2	no	—
715	#125	D₄×C₁₃	1	2	yes	—
716	#125	C₂³×C₁₃	1	1	yes	characteristic
717	#125	C₂³×C₁₃	1	2	yes	—
718	#125	C₂³×C₁₃	1	2	yes	—
719	#125	C₂³×C₁₃	1	2	yes	—
720	#125	C₂³×C₁₃	1	2	yes	—
721	#124	—	2	1	no	—
722	#124	—	2	2	no	—
723	#124	—	2	2	no	—
724	#124	—	2	1	no	—
725	#124	C₂³×C₁₃	1	1	yes	characteristic
726	#124	C₂³×C₁₃	1	2	yes	—
727	#123	—	2	1	no	—
728	#123	—	2	2	no	—
729	#123	—	2	2	no	—
730	#123	—	2	2	no	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	#123	—	2	2	no	—
734	C₂²⋊Q₈	—	2	1	no	—
735	C₂²⋊Q₈	—	2	1	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	1	no	—
740	C₂²⋊Q₈	—	2	1	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
759	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
760	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
761	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
762	#121	—	2	1	no	—
763	#121	—	2	2	no	—
764	#121	—	2	1	no	—
765	#121	—	2	2	no	—
766	#121	—	2	2	no	—
767	#121	C₂³×C₁₃	1	1	yes	characteristic
768	#121	C₂³×C₁₃	1	2	yes	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
774	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
777	C₄×D₄	—	2	1	no	—
778	C₄×D₄	—	2	2	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	2	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
786	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
787	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
788	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
789	C₄×D₄	C₂³×C₁₃	1	2	yes	—
790	C₄×D₄	C₂³×C₁₃	1	2	yes	—
791	C₄×D₄	C₂³×C₁₃	1	2	yes	—
792	C₄×D₄	C₂³×C₁₃	1	2	yes	—
793	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
794	C₄×D₄	C₂³×C₁₃	1	2	yes	—
795	C₄×D₄	C₂³×C₁₃	1	2	yes	—
796	C₄×D₄	C₂³×C₁₃	1	2	yes	—
797	C₄×D₄	C₂³×C₁₃	1	2	yes	—
798	#117	—	2	1	no	—
799	#117	C₂³×C₁₃	1	2	yes	—
800	#117	C₂³×C₁₃	1	2	yes	—
801	C₂×C₄⋊C₄	—	2	2	no	—
802	C₂×C₄⋊C₄	—	2	2	no	—
803	C₂×C₄⋊C₄	—	2	1	no	—
804	C₂×C₄⋊C₄	—	2	1	no	—
805	C₂×C₄⋊C₄	—	2	2	no	—
806	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	—	2	1	no	—
808	C₂×C₂²⋊C₄	—	2	2	no	—
809	C₂×C₂²⋊C₄	—	2	2	no	—
810	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
811	#107	C₂³×C₁₃	1	2	yes	—
812	#107	C₂³×C₁₃	1	2	yes	—
813	#107	C₂³×C₁₃	1	2	yes	—
814	#107	C₂³×C₁₃	1	1	yes	characteristic
815	#107	C₂³×C₁₃	1	2	yes	—
816	#107	C₂³×C₁₃	1	2	yes	—
817	#107	C₂³×C₁₃	1	1	yes	characteristic
818	#107	C₂³×C₁₃	1	2	yes	—
819	#106	C₂³×C₁₃	1	2	yes	—
820	#106	C₂³×C₁₃	1	1	yes	characteristic
821	#106	C₂³×C₁₃	1	1	yes	characteristic
822	#106	C₂³×C₁₃	1	2	yes	—
823	#106	C₂³×C₁₃	1	2	yes	—
824	#106	C₂³×C₁₃	1	2	yes	—
825	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
828	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
829	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
830	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
831	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
832	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
833	#103	C₂³×C₁₃	1	1	yes	characteristic
834	#103	C₂³×C₁₃	1	2	yes	—
835	#103	C₂³×C₁₃	1	1	yes	characteristic
836	#103	C₂³×C₁₃	1	2	yes	—
837	#102	C₂³×C₁₃	1	1	yes	characteristic
838	#102	C₂³×C₁₃	1	2	yes	—
839	#102	C₂³×C₁₃	1	1	yes	characteristic
840	#102	C₂³×C₁₃	1	2	yes	—
841	#102	C₂³×C₁₃	1	1	yes	characteristic
842	#102	C₂³×C₁₃	1	2	yes	—
843	#102	C₂³×C₁₃	1	2	yes	—
844	#102	C₂³×C₁₃	1	2	yes	—
845	#102	C₂³×C₁₃	1	2	yes	—
846	#102	C₂³×C₁₃	1	1	yes	characteristic
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	1	yes	characteristic
849	#102	C₂³×C₁₃	1	1	yes	characteristic
850	#102	C₂³×C₁₃	1	2	yes	—
851	#102	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	2	yes	—
853	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
854	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
856	#97	C₂³×C₁₃	1	2	yes	—
857	#97	C₂³×C₁₃	1	2	yes	—
858	C₄×C₈	C₂³×C₁₃	1	2	yes	—
859	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₄×C₈	C₂³×C₁₃	1	2	yes	—
862	C₄×C₈	C₂³×C₁₃	1	2	yes	—
863	C₂×C₁₃	—	4	1	no	—
864	C₂×C₁₃	—	4	2	no	—
865	C₂×C₁₃	—	4	2	no	—
866	C₂×C₁₃	—	8	2	no	—
867	C₂×C₁₃	—	8	1	no	—
868	C₂×C₁₃	#3486	1	1	yes	characteristic
869	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
870	C₂×C₁₃	#3584	1	1	yes	characteristic
871	C₂⁴	—	2	1	no	—
872	#41	—	8	2	no	—
873	#41	—	8	2	no	—
874	C₂×Q₈	—	2	1	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	—	2	2	no	—
879	C₂×Q₈	—	2	2	no	—
880	C₂×Q₈	—	8	2	no	—
881	C₂×Q₈	—	8	2	no	—
882	C₂×Q₈	—	8	2	no	—
883	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
884	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
885	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
886	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	1	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
898	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	8	2	no	—
915	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
918	SD₁₆	—	2	2	no	—
919	SD₁₆	—	2	2	no	—
920	D₈	—	2	4	no	—
921	D₈	—	2	2	no	—
922	D₈	—	2	4	no	—
923	D₈	—	2	2	no	—
924	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
926	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
928	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
929	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
951	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
952	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
955	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
957	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
958	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
959	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
960	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
963	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	1	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	2	no	—
992	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
993	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
994	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
995	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₄²	C₂⁴×C₁₃	1	2	yes	—
997	C₄²	C₂⁴×C₁₃	1	2	yes	—
998	C₁₃	#61863	1	1	yes	characteristic, direct product factor, Sylow
999	C₂³	—	2	4	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	8	1	no	—
1005	C₂³	—	8	1	no	—
1006	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	1	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	4	2	no	—
1012	Q₈	—	4	2	no	—
1013	Q₈	—	4	2	no	—
1014	Q₈	—	8	2	no	—
1015	Q₈	—	8	2	no	—
1016	Q₈	—	8	2	no	—
1017	Q₈	—	8	1	no	—
1018	D₄	—	2	4	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	2	2	no	—
1023	D₄	—	2	1	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	4	2	no	—
1026	D₄	—	8	1	no	—
1027	D₄	—	8	2	no	—
1028	D₄	—	8	2	no	—
1029	D₄	—	8	1	no	—
1030	D₄	—	8	2	no	—
1031	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1032	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	4	1	no	—
1045	C₂×C₄	—	4	2	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	4	2	no	—
1048	C₂×C₄	—	8	1	no	—
1049	C₂×C₄	—	8	1	no	—
1050	C₂×C₄	—	8	2	no	—
1051	C₂×C₄	—	8	2	no	—
1052	C₂×C₄	—	8	2	no	—
1053	C₂×C₄	—	8	2	no	—
1054	C₂×C₄	—	8	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	—	8	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	1	no	—
1059	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1060	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1061	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1064	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1066	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1067	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1068	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1069	C₈	—	2	2	no	—
1070	C₈	—	2	1	no	—
1071	C₈	—	2	2	no	—
1072	C₈	—	2	1	no	—
1073	C₈	—	2	1	no	—
1074	C₈	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	1	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	1	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	8	4	no	—
1091	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1092	C₄	—	2	1	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	1	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	2	no	—
1099	C₄	—	2	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	1	no	—
1108	C₄	C₁₃×#576	1	2	yes	—
1109	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1110	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1111	C₂	—	4	1	no	—
1112	C₂	—	4	2	no	—
1113	C₂	—	4	2	no	—
1114	C₂	—	8	1	no	—
1115	C₂	—	8	2	no	—
1116	C₂	C₁₃×#3486	1	1	yes	characteristic
1117	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1118	C₂	C₁₃×#3584	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×#3501	C₂	semidirect
3. C₁₃×#3389	C₂	semidirect
4. C₁₃×#3386	C₂	semidirect
5. C₁₃×#3384	C₂	semidirect
6. C₁₃×#3381	C₂	semidirect
7. C₁₃×#3380	C₂	semidirect
8. Q₈×C₁₃×D₈	C₂	semidirect
9. C₁₃×#3373	C₂	semidirect
10. C₁₃×#3370	C₂	semidirect
11. C₁₃×#3366	C₂	semidirect
12. C₁₃×#3361	C₂	semidirect
13. C₁₃×#3361	C₂	semidirect
14. C₁₃×#3358	C₂	semidirect
15. C₁₃×#3243	C₂	semidirect
16. C₁₃×#3241	C₂	semidirect
17. C₁₃×#3233	C₂	semidirect
18. C₁₃×#3228	C₂	semidirect
19. C₁₃×#3122	C₂	semidirect
20. C₁₃×#3118	C₂	semidirect
21. C₁₃×#3105	C₂	semidirect
22. C₁₃×#3100	C₂	semidirect
23. C₁₃×#2986	C₂	semidirect
25. C₁₃×#559	C₂²	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#557	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
39. D₄×Q₈×C₁₃	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#501	C₂²	semidirect
59. C₁₃×#500	C₂²	semidirect
60. C₁₃×#500	C₂²	semidirect
61. C₁₃×#499	C₂²	semidirect
62. C₁₃×#499	C₂²	semidirect
63. C₁₃×#498	C₂²	semidirect
64. C₁₃×#490	C₂²	semidirect
65. C₁₃×#489	C₂²	semidirect
66. C₁₃×#488	C₂²	semidirect
67. C₁₃×#488	C₂²	semidirect
68. C₁₃×#486	C₂²	semidirect
69. C₁₃×#486	C₂²	semidirect
70. C₁₃×#486	C₂²	semidirect
78. C₁₃×#479	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#478	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#477	C₂²	semidirect
91. C₁₃×#476	C₂²	semidirect
92. C₁₃×#476	C₂²	semidirect
93. C₁₃×#475	C₂²	semidirect
97. C₁₃×#474	C₂²	semidirect
98. C₁₃×#474	C₂²	semidirect
99. C₁₃×#474	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₁₃×#446	C₂²	semidirect
113. C₁₃×#446	C₂²	semidirect
114. C₈×Q₈×C₁₃	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₈×Q₈×C₁₃	C₂²	semidirect
312. #61863	C₁₃	direct (N × H)
440. #3554	C₂×C₁₃	semidirect
441. #3501	C₂×C₁₃	semidirect
442. #3389	C₂×C₁₃	semidirect
443. #3386	C₂×C₁₃	semidirect
444. #3384	C₂×C₁₃	semidirect
445. #3381	C₂×C₁₃	semidirect
446. #3380	C₂×C₁₃	semidirect
447. Q₈×D₈	C₂×C₁₃	semidirect
448. #3373	C₂×C₁₃	semidirect
449. #3370	C₂×C₁₃	semidirect
450. #3366	C₂×C₁₃	semidirect
451. #3361	C₂×C₁₃	semidirect
452. #3361	C₂×C₁₃	semidirect
453. #3358	C₂×C₁₃	semidirect
454. #3243	C₂×C₁₃	semidirect
455. #3241	C₂×C₁₃	semidirect
456. #3233	C₂×C₁₃	semidirect
457. #3228	C₂×C₁₃	semidirect
458. #3122	C₂×C₁₃	semidirect
459. #3118	C₂×C₁₃	semidirect
460. #3105	C₂×C₁₃	semidirect
461. #3100	C₂×C₁₃	semidirect
462. #2986	C₂×C₁₃	semidirect
540. #559	C₂²×C₁₃	semidirect
541. #559	C₂²×C₁₃	semidirect
542. #557	C₂²×C₁₃	semidirect
549. #554	C₂²×C₁₃	semidirect
550. #550	C₂²×C₁₃	semidirect
554. D₄×Q₈	C₂²×C₁₃	semidirect
572. #501	C₂²×C₁₃	semidirect
573. #501	C₂²×C₁₃	semidirect
574. #500	C₂²×C₁₃	semidirect
575. #500	C₂²×C₁₃	semidirect
576. #499	C₂²×C₁₃	semidirect
577. #499	C₂²×C₁₃	semidirect
578. #498	C₂²×C₁₃	semidirect
579. #490	C₂²×C₁₃	semidirect
580. #489	C₂²×C₁₃	semidirect
581. #488	C₂²×C₁₃	semidirect
582. #488	C₂²×C₁₃	semidirect
583. #486	C₂²×C₁₃	semidirect
584. #486	C₂²×C₁₃	semidirect
585. #486	C₂²×C₁₃	semidirect
593. #479	C₂²×C₁₃	semidirect
598. #478	C₂²×C₁₃	semidirect
599. #478	C₂²×C₁₃	semidirect
600. #478	C₂²×C₁₃	semidirect
601. #478	C₂²×C₁₃	semidirect
602. #478	C₂²×C₁₃	semidirect
603. #477	C₂²×C₁₃	semidirect
604. #477	C₂²×C₁₃	semidirect
606. #476	C₂²×C₁₃	semidirect
607. #476	C₂²×C₁₃	semidirect
608. #475	C₂²×C₁₃	semidirect
612. #474	C₂²×C₁₃	semidirect
613. #474	C₂²×C₁₃	semidirect
614. #474	C₂²×C₁₃	semidirect
626. #446	C₂²×C₁₃	semidirect
627. #446	C₂²×C₁₃	semidirect
628. #446	C₂²×C₁₃	semidirect
629. C₈×Q₈	C₂²×C₁₃	semidirect
630. C₈×Q₈	C₂²×C₁₃	semidirect
631. C₈×Q₈	C₂²×C₁₃	semidirect
998. C₁₃	#61863	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×#3501	2
C₁₃×#3389	2
C₁₃×#3386	2
C₁₃×#3384	2
C₁₃×#3381	2
C₁₃×#3380	2
Q₈×C₁₃×D₈	2
C₁₃×#3373	2
C₁₃×#3370	2
C₁₃×#3366	2
C₁₃×#3361	2
C₁₃×#3358	2
C₁₃×#3243	2
C₁₃×#3241	2
C₁₃×#3233	2
C₁₃×#3228	2
C₁₃×#3122	2
C₁₃×#3118	2
C₁₃×#3105	2
C₁₃×#3100	2
C₁₃×#2986	2
#61863	13

Subgroups — C13×#61863 #15748202

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61863 #15748202