Subgroups — C₁₃×#61344 #15747683

Order 3328.

1748 conjugacy classes of subgroups.

The subgroup lattice has 1102 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3510	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3502	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3375	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3369	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3365	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3364	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3137	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3044	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3043	C₂	1	1	yes	maximal, characteristic
19	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2950	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2949	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
27	C₁₃×#559	C₂²	1	2	yes	—
28	C₁₃×#559	C₂²	1	2	yes	—
29	Q₈²×C₁₃	—	2	1	no	—
30	Q₈²×C₁₃	C₂²	1	2	yes	complemented
31	C₁₃×#557	—	2	1	no	—
32	C₁₃×#557	—	2	1	no	—
33	C₁₃×#557	—	2	1	no	—
34	C₁₃×#557	C₂²	1	2	yes	complemented
35	C₁₃×#557	C₂²	1	2	yes	complemented
36	C₁₃×#557	C₂²	1	2	yes	complemented
37	C₁₃×#556	C₂²	1	2	yes	—
38	C₁₃×#556	C₂²	1	2	yes	—
39	C₁₃×#551	—	2	2	no	—
40	C₁₃×#551	—	2	2	no	—
41	C₁₃×#544	—	2	2	no	—
42	C₁₃×#544	C₂²	1	1	yes	characteristic
43	C₁₃×#544	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#536	C₂²	1	1	yes	characteristic
47	C₁₃×#535	C₂²	1	1	yes	characteristic
48	C₁₃×#533	—	2	2	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	—	2	1	no	—
53	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
54	C₁₃×#519	C₂²	1	1	yes	characteristic
55	C₁₃×#519	C₂²	1	1	yes	characteristic
56	C₁₃×#519	C₂²	1	1	yes	characteristic
57	C₁₃×#518	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
60	C₁₃×#491	C₂²	1	2	yes	complemented
61	C₁₃×#490	C₂²	1	2	yes	—
62	C₁₃×#489	C₂²	1	2	yes	—
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#489	C₂²	1	2	yes	complemented
66	C₁₃×#488	C₂²	1	2	yes	—
67	C₁₃×#488	C₂²	1	2	yes	—
68	C₁₃×#488	C₂²	1	2	yes	—
69	C₁₃×#488	C₂²	1	2	yes	complemented
70	C₁₃×#487	C₂²	1	2	yes	complemented
71	C₁₃×#486	C₂²	1	2	yes	—
72	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#479	C₂²	1	2	yes	complemented
75	C₁₃×#479	C₂²	1	2	yes	complemented
76	C₁₃×#478	C₂²	1	2	yes	—
77	C₁₃×#478	C₂²	1	2	yes	—
78	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#477	C₂²	1	2	yes	complemented
82	C₁₃×#476	C₂²	1	2	yes	—
83	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#475	C₂²	1	2	yes	complemented
86	C₁₃×#474	C₂²	1	2	yes	—
87	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#464	C₂²	1	2	yes	—
90	C₁₃×#464	C₂²	1	2	yes	—
91	C₁₃×#464	C₂²	1	2	yes	—
92	C₁₃×#464	C₂²	1	2	yes	—
93	C₁₃×#464	C₂²	1	2	yes	—
94	C₁₃×#464	C₂²	1	2	yes	complemented
95	C₁₃×#464	C₂²	1	2	yes	complemented
96	C₁₃×#462	C₂²	1	2	yes	complemented
97	C₁₃×#462	C₂²	1	2	yes	complemented
98	C₁₃×#460	C₂²	1	2	yes	—
99	C₁₃×#460	C₂²	1	2	yes	—
100	C₁₃×#446	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	2	yes	complemented
102	C₁₃×#446	C₂²	1	2	yes	complemented
103	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
104	C₁₃×#441	C₂²	1	2	yes	complemented
105	C₁₃×#441	C₂²	1	2	yes	complemented
106	C₁₃×#441	C₂²	1	2	yes	complemented
107	C₁₃×#440	C₂²	1	2	yes	—
108	C₁₃×#440	C₂²	1	2	yes	—
109	C₁₃×#440	C₂²	1	2	yes	complemented
110	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
111	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
112	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
113	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
114	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
115	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₁₃×#427	C₂²	1	1	yes	characteristic
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#424	C₂²	1	1	yes	characteristic
120	C₁₃×#424	C₂²	1	1	yes	characteristic
121	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
122	C₁₃×#419	C₂²	1	1	yes	characteristic
123	C₁₃×#419	C₂²	1	1	yes	characteristic
124	C₁₃×#419	C₂²	1	1	yes	characteristic
125	C₁₃×#418	C₂²	1	1	yes	characteristic
126	C₁₃×#418	C₂²	1	1	yes	characteristic
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₁₃×#405	C₂²	1	1	yes	characteristic
133	C₁₃×#405	C₂²	1	1	yes	characteristic
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₁₃×#137	—	2	4	no	—
140	C₂×C₁₃×Q₁₆	—	2	4	no	—
141	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
142	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	—	2	4	no	—
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×M₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₁₃×C₄⋊Q₈	—	2	2	no	—
153	C₁₃×C₄⋊Q₈	—	2	2	no	—
154	C₁₃×C₄⋊Q₈	—	2	2	no	—
155	C₁₃×C₄⋊Q₈	—	2	2	no	—
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	—	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	2	yes	—
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	C₂³	1	2	yes	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	—	2	2	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	D₄	1	1	yes	characteristic
181	C₁₃×#125	D₄	1	1	yes	characteristic
182	C₁₃×#125	C₂³	1	2	yes	—
183	C₁₃×#125	C₂³	1	1	yes	characteristic
184	C₁₃×#125	C₂³	1	1	yes	characteristic
185	C₁₃×#125	C₂³	1	2	yes	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	C₂³	1	2	yes	—
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#124	C₂³	1	2	yes	—
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×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	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	2	no	—
207	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
209	C₁₃×#121	—	2	1	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₄×Q₈×C₁₃	—	2	2	no	—
213	C₄×Q₈×C₁₃	—	2	1	no	—
214	C₄×Q₈×C₁₃	—	2	1	no	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	1	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	2	no	—
220	C₄×Q₈×C₁₃	—	2	2	no	—
221	C₄×Q₈×C₁₃	—	2	2	no	—
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	—	2	1	no	—
226	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₁₃×#117	—	2	2	no	—
249	C₁₃×#117	—	2	2	no	—
250	C₁₃×#117	—	2	2	no	—
251	C₁₃×#117	—	2	2	no	—
252	C₁₃×#117	—	2	2	no	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₁₃×#117	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
262	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
263	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
264	C₂×C₄²×C₁₃	—	2	1	no	—
265	C₂×C₄²×C₁₃	—	2	1	no	—
266	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
267	C₁₃×#107	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	1	yes	characteristic
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×#106	C₂³	1	1	yes	characteristic
275	C₁₃×#106	C₂³	1	1	yes	characteristic
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₁₃×#97	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#61344	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	2	2	no	—
319	C₂×Q₈×C₁₃	—	2	1	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
329	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
330	C₂×Q₈×C₁₃	#41	1	4	yes	—
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
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	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
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	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₁₃×Q₁₆	—	2	4	no	—
354	C₁₃×Q₁₆	—	2	4	no	—
355	C₁₃×Q₁₆	—	2	4	no	—
356	C₁₃×SD₁₆	—	2	4	no	—
357	C₁₃×SD₁₆	—	2	4	no	—
358	C₁₃×SD₁₆	—	2	4	no	—
359	C₁₃×M₁₆	—	2	2	no	—
360	C₁₃×M₁₆	—	2	2	no	—
361	C₂×C₈×C₁₃	—	2	2	no	—
362	C₂×C₈×C₁₃	—	2	2	no	—
363	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
364	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
367	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₁₃×C₄⋊C₄	—	2	2	no	—
370	C₁₃×C₄⋊C₄	—	2	2	no	—
371	C₁₃×C₄⋊C₄	—	2	1	no	—
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	1	no	—
374	C₁₃×C₄⋊C₄	—	2	2	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	1	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	2	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
395	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
396	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
397	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
398	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	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	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₂²⋊C₄	—	2	1	no	—
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
427	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
428	C₄²×C₁₃	—	2	1	no	—
429	C₄²×C₁₃	—	2	1	no	—
430	C₄²×C₁₃	—	2	1	no	—
431	C₄²×C₁₃	—	2	2	no	—
432	C₄²×C₁₃	—	2	2	no	—
433	C₄²×C₁₃	—	2	2	no	—
434	C₄²×C₁₃	—	2	2	no	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	—	2	2	no	—
437	C₄²×C₁₃	—	2	2	no	—
438	C₄²×C₁₃	—	2	2	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₄²×C₁₃	C₂⁴	1	2	yes	—
445	C₄²×C₁₃	C₂⁴	1	2	yes	—
446	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
447	#3510	C₂×C₁₃	1	1	yes	characteristic
448	#3502	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3377	C₂×C₁₃	1	2	yes	complemented
450	#3377	C₂×C₁₃	1	2	yes	complemented
451	#3375	C₂×C₁₃	1	2	yes	complemented
452	#3371	C₂×C₁₃	1	2	yes	complemented
453	#3371	C₂×C₁₃	1	2	yes	complemented
454	#3369	C₂×C₁₃	1	2	yes	complemented
455	#3365	C₂×C₁₃	1	2	yes	complemented
456	#3364	C₂×C₁₃	1	2	yes	complemented
457	#3140	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3137	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3136	C₂×C₁₃	1	1	yes	characteristic
460	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3044	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3043	C₂×C₁₃	1	1	yes	characteristic
465	C₂×#464	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#2962	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#2950	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#2949	C₂×C₁₃	1	1	yes	characteristic, complemented
469	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
470	C₂³×C₁₃	—	2	2	no	—
471	C₂³×C₁₃	—	2	1	no	—
472	C₂³×C₁₃	—	4	2	no	—
473	C₂³×C₁₃	—	8	1	no	—
474	C₂³×C₁₃	—	8	1	no	—
475	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
476	Q₈×C₁₃	—	2	4	no	—
477	Q₈×C₁₃	—	2	2	no	—
478	Q₈×C₁₃	—	2	2	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	4	2	no	—
483	Q₈×C₁₃	—	4	2	no	—
484	Q₈×C₁₃	—	4	2	no	—
485	Q₈×C₁₃	—	4	2	no	—
486	Q₈×C₁₃	—	8	1	no	—
487	Q₈×C₁₃	—	8	2	no	—
488	Q₈×C₁₃	—	8	2	no	—
489	Q₈×C₁₃	C₂×#41	1	4	yes	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	8	2	no	—
497	D₄×C₁₃	—	8	2	no	—
498	C₂×C₄×C₁₃	—	2	4	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	4	1	no	—
510	C₂×C₄×C₁₃	—	4	1	no	—
511	C₂×C₄×C₁₃	—	4	2	no	—
512	C₂×C₄×C₁₃	—	4	2	no	—
513	C₂×C₄×C₁₃	—	8	1	no	—
514	C₂×C₄×C₁₃	—	8	2	no	—
515	C₂×C₄×C₁₃	—	8	1	no	—
516	C₂×C₄×C₁₃	—	8	2	no	—
517	C₂×C₄×C₁₃	—	8	1	no	—
518	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
521	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	C₂×#41	1	2	yes	—
528	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
529	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
530	C₈×C₁₃	—	2	1	no	—
531	C₈×C₁₃	—	2	1	no	—
532	C₈×C₁₃	—	2	1	no	—
533	C₈×C₁₃	—	2	1	no	—
534	C₈×C₁₃	—	2	2	no	—
535	C₈×C₁₃	—	2	2	no	—
536	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
537	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
538	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
539	#559	C₂²×C₁₃	1	2	yes	—
540	#559	C₂²×C₁₃	1	2	yes	—
541	Q₈²	—	2	1	no	—
542	Q₈²	C₂²×C₁₃	1	2	yes	complemented
543	#557	—	2	1	no	—
544	#557	—	2	1	no	—
545	#557	—	2	1	no	—
546	#557	C₂²×C₁₃	1	2	yes	complemented
547	#557	C₂²×C₁₃	1	2	yes	complemented
548	#557	C₂²×C₁₃	1	2	yes	complemented
549	#556	C₂²×C₁₃	1	2	yes	—
550	#556	C₂²×C₁₃	1	2	yes	—
551	#551	—	2	2	no	—
552	#551	—	2	2	no	—
553	#544	—	2	2	no	—
554	#544	C₂²×C₁₃	1	1	yes	characteristic
555	#544	C₂²×C₁₃	1	1	yes	characteristic
556	#542	—	2	1	no	—
557	#542	—	2	1	no	—
558	#536	C₂²×C₁₃	1	1	yes	characteristic
559	#535	C₂²×C₁₃	1	1	yes	characteristic
560	#533	—	2	2	no	—
561	#533	C₂²×C₁₃	1	1	yes	characteristic
562	#533	C₂²×C₁₃	1	1	yes	characteristic
563	#529	—	2	1	no	—
564	#529	—	2	1	no	—
565	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
566	#519	C₂²×C₁₃	1	1	yes	characteristic
567	#519	C₂²×C₁₃	1	1	yes	characteristic
568	#519	C₂²×C₁₃	1	1	yes	characteristic
569	#518	C₂²×C₁₃	1	1	yes	characteristic
570	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
571	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
572	#491	C₂²×C₁₃	1	2	yes	complemented
573	#490	C₂²×C₁₃	1	2	yes	—
574	#489	C₂²×C₁₃	1	2	yes	—
575	#489	C₂²×C₁₃	1	2	yes	—
576	#489	C₂²×C₁₃	1	2	yes	—
577	#489	C₂²×C₁₃	1	2	yes	complemented
578	#488	C₂²×C₁₃	1	2	yes	—
579	#488	C₂²×C₁₃	1	2	yes	—
580	#488	C₂²×C₁₃	1	2	yes	—
581	#488	C₂²×C₁₃	1	2	yes	complemented
582	#487	C₂²×C₁₃	1	2	yes	complemented
583	#486	C₂²×C₁₃	1	2	yes	—
584	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
585	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
586	#479	C₂²×C₁₃	1	2	yes	complemented
587	#479	C₂²×C₁₃	1	2	yes	complemented
588	#478	C₂²×C₁₃	1	2	yes	—
589	#478	C₂²×C₁₃	1	2	yes	—
590	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#477	C₂²×C₁₃	1	2	yes	complemented
594	#476	C₂²×C₁₃	1	2	yes	—
595	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#475	C₂²×C₁₃	1	2	yes	complemented
598	#474	C₂²×C₁₃	1	2	yes	—
599	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#464	C₂²×C₁₃	1	2	yes	—
601	#464	C₂²×C₁₃	1	2	yes	—
602	#464	C₂²×C₁₃	1	2	yes	—
603	#464	C₂²×C₁₃	1	2	yes	—
604	#464	C₂²×C₁₃	1	2	yes	—
605	#464	C₂²×C₁₃	1	2	yes	—
606	#464	C₂²×C₁₃	1	2	yes	complemented
607	#464	C₂²×C₁₃	1	2	yes	complemented
608	#462	C₂²×C₁₃	1	2	yes	complemented
609	#462	C₂²×C₁₃	1	2	yes	complemented
610	#460	C₂²×C₁₃	1	2	yes	—
611	#460	C₂²×C₁₃	1	2	yes	—
612	#446	C₂²×C₁₃	1	2	yes	complemented
613	#446	C₂²×C₁₃	1	2	yes	complemented
614	#446	C₂²×C₁₃	1	2	yes	complemented
615	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
616	#441	C₂²×C₁₃	1	2	yes	complemented
617	#441	C₂²×C₁₃	1	2	yes	complemented
618	#441	C₂²×C₁₃	1	2	yes	complemented
619	#440	C₂²×C₁₃	1	2	yes	—
620	#440	C₂²×C₁₃	1	2	yes	—
621	#440	C₂²×C₁₃	1	2	yes	complemented
622	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
623	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
624	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
625	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
626	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
627	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
628	#428	C₂²×C₁₃	1	1	yes	characteristic
629	#427	C₂²×C₁₃	1	1	yes	characteristic
630	#427	C₂²×C₁₃	1	1	yes	characteristic
631	#424	C₂²×C₁₃	1	1	yes	characteristic
632	#424	C₂²×C₁₃	1	1	yes	characteristic
633	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
634	#419	C₂²×C₁₃	1	1	yes	characteristic
635	#419	C₂²×C₁₃	1	1	yes	characteristic
636	#419	C₂²×C₁₃	1	1	yes	characteristic
637	#418	C₂²×C₁₃	1	1	yes	characteristic
638	#418	C₂²×C₁₃	1	1	yes	characteristic
639	#417	C₂²×C₁₃	1	1	yes	characteristic
640	#416	C₂²×C₁₃	1	1	yes	characteristic
641	#416	C₂²×C₁₃	1	1	yes	characteristic
642	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
643	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
644	#405	C₂²×C₁₃	1	1	yes	characteristic
645	#405	C₂²×C₁₃	1	1	yes	characteristic
646	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
647	C₂²×C₁₃	—	2	1	no	—
648	C₂²×C₁₃	—	2	1	no	—
649	C₂²×C₁₃	—	4	1	no	—
650	C₂²×C₁₃	—	4	2	no	—
651	C₂²×C₁₃	—	4	1	no	—
652	C₂²×C₁₃	—	4	2	no	—
653	C₂²×C₁₃	—	4	1	no	—
654	C₂²×C₁₃	—	4	2	no	—
655	C₂²×C₁₃	—	16	2	no	—
656	C₂²×C₁₃	#548	1	2	yes	—
657	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
658	C₄×C₁₃	—	2	1	no	—
659	C₄×C₁₃	—	2	1	no	—
660	C₄×C₁₃	—	2	2	no	—
661	C₄×C₁₃	—	2	2	no	—
662	C₄×C₁₃	—	2	1	no	—
663	C₄×C₁₃	—	2	1	no	—
664	C₄×C₁₃	—	2	2	no	—
665	C₄×C₁₃	—	2	2	no	—
666	C₄×C₁₃	—	2	4	no	—
667	C₄×C₁₃	—	4	1	no	—
668	C₄×C₁₃	—	4	2	no	—
669	C₄×C₁₃	—	4	1	no	—
670	C₄×C₁₃	—	4	1	no	—
671	C₄×C₁₃	—	4	1	no	—
672	C₄×C₁₃	—	4	1	no	—
673	C₄×C₁₃	—	4	1	no	—
674	C₄×C₁₃	—	4	1	no	—
675	C₄×C₁₃	—	4	2	no	—
676	C₄×C₁₃	#548	1	2	yes	—
677	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
678	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
679	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
680	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
681	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
682	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
683	#137	—	2	4	no	—
684	C₂×Q₁₆	—	2	4	no	—
685	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
686	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
687	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
688	C₂×SD₁₆	—	2	4	no	—
689	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
690	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
691	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
692	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
694	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
695	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
696	C₄⋊Q₈	—	2	2	no	—
697	C₄⋊Q₈	—	2	2	no	—
698	C₄⋊Q₈	—	2	2	no	—
699	C₄⋊Q₈	—	2	2	no	—
700	C₄⋊Q₈	—	2	2	no	—
701	C₄⋊Q₈	—	2	2	no	—
702	C₄⋊Q₈	—	2	1	no	—
703	C₄⋊Q₈	—	2	1	no	—
704	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
705	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
706	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
707	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
708	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
710	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
711	#127	C₂³×C₁₃	1	2	yes	—
712	#126	—	2	2	no	—
713	#126	—	2	2	no	—
714	#126	—	2	2	no	—
715	#126	—	2	2	no	—
716	#125	—	2	2	no	—
717	#125	—	2	2	no	—
718	#125	—	2	2	no	—
719	#125	—	2	2	no	—
720	#125	—	2	2	no	—
721	#125	—	2	2	no	—
722	#125	—	2	1	no	—
723	#125	—	2	1	no	—
724	#125	D₄×C₁₃	1	1	yes	characteristic
725	#125	D₄×C₁₃	1	1	yes	characteristic
726	#125	C₂³×C₁₃	1	1	yes	characteristic
727	#125	C₂³×C₁₃	1	1	yes	characteristic
728	#125	C₂³×C₁₃	1	2	yes	—
729	#125	C₂³×C₁₃	1	2	yes	—
730	#124	—	2	2	no	—
731	#124	—	2	2	no	—
732	#124	—	2	1	no	—
733	#124	—	2	1	no	—
734	#124	C₂³×C₁₃	1	2	yes	—
735	#124	C₂³×C₁₃	1	2	yes	—
736	#124	C₂³×C₁₃	1	2	yes	—
737	#124	C₂³×C₁₃	1	2	yes	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
752	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
753	#121	—	2	1	no	—
754	#121	—	2	1	no	—
755	#120	—	2	2	no	—
756	C₄×Q₈	—	2	2	no	—
757	C₄×Q₈	—	2	1	no	—
758	C₄×Q₈	—	2	1	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	—	2	1	no	—
761	C₄×Q₈	—	2	1	no	—
762	C₄×Q₈	—	2	1	no	—
763	C₄×Q₈	—	2	2	no	—
764	C₄×Q₈	—	2	2	no	—
765	C₄×Q₈	—	2	2	no	—
766	C₄×Q₈	—	2	1	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
771	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
772	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
775	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
776	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
777	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
778	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
779	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
780	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
789	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
790	C₄×D₄	C₂³×C₁₃	1	2	yes	—
791	C₄×D₄	C₂³×C₁₃	1	2	yes	—
792	#117	—	2	2	no	—
793	#117	—	2	2	no	—
794	#117	—	2	2	no	—
795	#117	—	2	2	no	—
796	#117	—	2	2	no	—
797	#117	—	2	1	no	—
798	#117	C₂³×C₁₃	1	1	yes	characteristic
799	#117	C₂³×C₁₃	1	1	yes	characteristic
800	#117	C₂³×C₁₃	1	1	yes	characteristic
801	#117	C₂³×C₁₃	1	1	yes	characteristic
802	#117	C₂³×C₁₃	1	1	yes	characteristic
803	C₂×C₄⋊C₄	—	2	1	no	—
804	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	—	2	1	no	—
806	C₂×C₂²⋊C₄	—	2	1	no	—
807	C₂×C₂²⋊C₄	—	2	2	no	—
808	C₂×C₄²	—	2	1	no	—
809	C₂×C₄²	—	2	1	no	—
810	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
811	#107	C₂³×C₁₃	1	1	yes	characteristic
812	#107	C₂³×C₁₃	1	1	yes	characteristic
813	#107	C₂³×C₁₃	1	1	yes	characteristic
814	#107	C₂³×C₁₃	1	1	yes	characteristic
815	#107	C₂³×C₁₃	1	2	yes	—
816	#106	C₂³×C₁₃	1	1	yes	characteristic
817	#106	C₂³×C₁₃	1	1	yes	characteristic
818	#106	C₂³×C₁₃	1	1	yes	characteristic
819	#106	C₂³×C₁₃	1	1	yes	characteristic
820	#106	C₂³×C₁₃	1	2	yes	—
821	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
822	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
825	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
826	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
827	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
828	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
829	#103	C₂³×C₁₃	1	2	yes	—
830	#103	C₂³×C₁₃	1	2	yes	—
831	#103	C₂³×C₁₃	1	1	yes	characteristic
832	#103	C₂³×C₁₃	1	1	yes	characteristic
833	#103	C₂³×C₁₃	1	1	yes	characteristic
834	#103	C₂³×C₁₃	1	1	yes	characteristic
835	#103	C₂³×C₁₃	1	2	yes	—
836	#103	C₂³×C₁₃	1	2	yes	—
837	#103	C₂³×C₁₃	1	2	yes	—
838	#103	C₂³×C₁₃	1	2	yes	—
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#102	C₂³×C₁₃	1	2	yes	—
843	#102	C₂³×C₁₃	1	2	yes	—
844	#102	C₂³×C₁₃	1	1	yes	characteristic
845	#102	C₂³×C₁₃	1	1	yes	characteristic
846	#102	C₂³×C₁₃	1	1	yes	characteristic
847	#102	C₂³×C₁₃	1	1	yes	characteristic
848	#102	C₂³×C₁₃	1	2	yes	—
849	#102	C₂³×C₁₃	1	2	yes	—
850	#102	C₂³×C₁₃	1	2	yes	—
851	#102	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	2	yes	—
853	#97	C₂³×C₁₃	1	2	yes	—
854	#97	C₂³×C₁₃	1	2	yes	—
855	#97	C₂³×C₁₃	1	2	yes	—
856	C₄×C₈	C₂³×C₁₃	1	2	yes	—
857	C₄×C₈	C₂³×C₁₃	1	2	yes	—
858	C₄×C₈	C₂³×C₁₃	1	2	yes	—
859	C₂×C₁₃	—	2	2	no	—
860	C₂×C₁₃	—	8	1	no	—
861	C₂×C₁₃	—	8	2	no	—
862	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
863	C₂×C₁₃	#3584	1	1	yes	characteristic
864	C₂×C₁₃	#3586	1	1	yes	characteristic
865	C₂⁴	—	2	1	no	—
866	#41	—	2	2	no	—
867	#41	—	2	2	no	—
868	C₂×Q₈	—	2	1	no	—
869	C₂×Q₈	—	2	1	no	—
870	C₂×Q₈	—	2	1	no	—
871	C₂×Q₈	—	2	1	no	—
872	C₂×Q₈	—	2	2	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	2	no	—
875	C₂×Q₈	—	2	2	no	—
876	C₂×Q₈	—	2	2	no	—
877	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
878	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
879	C₂×Q₈	C₁₃×#41	1	4	yes	—
880	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
881	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
882	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
883	C₂×D₄	—	2	1	no	—
884	C₂×D₄	—	2	1	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
890	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	2	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
900	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
902	Q₁₆	—	2	4	no	—
903	Q₁₆	—	2	4	no	—
904	Q₁₆	—	2	4	no	—
905	SD₁₆	—	2	4	no	—
906	SD₁₆	—	2	4	no	—
907	SD₁₆	—	2	4	no	—
908	M₁₆	—	2	2	no	—
909	M₁₆	—	2	2	no	—
910	C₂×C₈	—	2	2	no	—
911	C₂×C₈	—	2	2	no	—
912	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
913	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
914	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
915	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
916	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
917	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	1	no	—
922	C₄⋊C₄	—	2	1	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	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	1	no	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
944	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
945	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
946	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
947	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
949	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
950	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
951	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
952	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
953	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
954	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
956	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂²⋊C₄	—	2	1	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
976	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
977	C₄²	—	2	1	no	—
978	C₄²	—	2	1	no	—
979	C₄²	—	2	1	no	—
980	C₄²	—	2	2	no	—
981	C₄²	—	2	2	no	—
982	C₄²	—	2	2	no	—
983	C₄²	—	2	2	no	—
984	C₄²	—	2	2	no	—
985	C₄²	—	2	2	no	—
986	C₄²	—	2	2	no	—
987	C₄²	—	2	2	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	1	no	—
990	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
991	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
992	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₄²	C₂⁴×C₁₃	1	2	yes	—
994	C₄²	C₂⁴×C₁₃	1	2	yes	—
995	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₁₃	#61344	1	1	yes	characteristic, direct product factor, Sylow
997	C₂³	—	2	2	no	—
998	C₂³	—	2	1	no	—
999	C₂³	—	4	2	no	—
1000	C₂³	—	8	1	no	—
1001	C₂³	—	8	1	no	—
1002	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1003	Q₈	—	2	4	no	—
1004	Q₈	—	2	2	no	—
1005	Q₈	—	2	2	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	4	2	no	—
1010	Q₈	—	4	2	no	—
1011	Q₈	—	4	2	no	—
1012	Q₈	—	4	2	no	—
1013	Q₈	—	8	1	no	—
1014	Q₈	—	8	2	no	—
1015	Q₈	—	8	2	no	—
1016	Q₈	C₂×C₁₃×#41	1	4	yes	—
1017	D₄	—	2	2	no	—
1018	D₄	—	2	1	no	—
1019	D₄	—	2	2	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	4	2	no	—
1022	D₄	—	4	2	no	—
1023	D₄	—	8	2	no	—
1024	D₄	—	8	2	no	—
1025	C₂×C₄	—	2	4	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	4	1	no	—
1037	C₂×C₄	—	4	1	no	—
1038	C₂×C₄	—	4	2	no	—
1039	C₂×C₄	—	4	2	no	—
1040	C₂×C₄	—	8	1	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	1	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	—	8	1	no	—
1045	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1046	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1047	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1048	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1049	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1050	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1051	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1052	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1054	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1055	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1056	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1057	C₈	—	2	1	no	—
1058	C₈	—	2	1	no	—
1059	C₈	—	2	1	no	—
1060	C₈	—	2	1	no	—
1061	C₈	—	2	2	no	—
1062	C₈	—	2	2	no	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	1	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	1	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	1	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	16	2	no	—
1072	C₂²	C₁₃×#548	1	2	yes	—
1073	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1074	C₄	—	2	1	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	1	no	—
1079	C₄	—	2	1	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	2	4	no	—
1083	C₄	—	4	1	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	1	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	C₁₃×#548	1	2	yes	—
1093	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1094	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1095	C₂	—	2	2	no	—
1096	C₂	—	8	2	no	—
1097	C₂	—	8	1	no	—
1098	C₂	C₂×C₁₃×#548	1	1	yes	characteristic
1099	C₂	C₁₃×#3584	1	1	yes	characteristic
1100	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#535	C₂²
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
2. C₁₃×#3502	C₂	semidirect
3. C₁₃×#3377	C₂	semidirect
4. C₁₃×#3377	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3371	C₂	semidirect
7. C₁₃×#3371	C₂	semidirect
8. C₁₃×#3369	C₂	semidirect
9. C₁₃×#3365	C₂	semidirect
10. C₁₃×#3364	C₂	semidirect
11. C₁₃×#3140	C₂	semidirect
12. C₁₃×#3137	C₂	semidirect
14. C₁₃×#3082	C₂	semidirect
15. C₁₃×#3081	C₂	semidirect
16. C₁₃×#3076	C₂	semidirect
17. C₁₃×#3044	C₂	semidirect
19. C₂×C₁₃×#464	C₂	semidirect
20. C₁₃×#2962	C₂	semidirect
21. C₁₃×#2950	C₂	semidirect
22. C₁₃×#2949	C₂	semidirect
23. C₄×C₁₃×#137	C₂	semidirect
30. Q₈²×C₁₃	C₂²	semidirect
34. C₁₃×#557	C₂²	semidirect
35. C₁₃×#557	C₂²	semidirect
36. C₁₃×#557	C₂²	semidirect
60. C₁₃×#491	C₂²	semidirect
65. C₁₃×#489	C₂²	semidirect
69. C₁₃×#488	C₂²	semidirect
70. C₁₃×#487	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
75. C₁₃×#479	C₂²	semidirect
78. C₁₃×#478	C₂²	semidirect
79. C₁₃×#478	C₂²	semidirect
80. C₁₃×#477	C₂²	semidirect
81. C₁₃×#477	C₂²	semidirect
83. C₁₃×#476	C₂²	semidirect
84. C₁₃×#475	C₂²	semidirect
85. C₁₃×#475	C₂²	semidirect
87. C₁₃×#474	C₂²	semidirect
94. C₁₃×#464	C₂²	semidirect
95. C₁₃×#464	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#462	C₂²	semidirect
100. C₁₃×#446	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#446	C₂²	semidirect
103. C₈×Q₈×C₁₃	C₂²	semidirect
104. C₁₃×#441	C₂²	semidirect
105. C₁₃×#441	C₂²	semidirect
106. C₁₃×#441	C₂²	semidirect
109. C₁₃×#440	C₂²	semidirect
110. C₄×C₁₃×Q₁₆	C₂²	semidirect
111. C₄×C₁₃×Q₁₆	C₂²	semidirect
112. C₄×C₁₃×Q₁₆	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
315. #61344	C₁₃	direct (N × H)
448. #3502	C₂×C₁₃	semidirect
449. #3377	C₂×C₁₃	semidirect
450. #3377	C₂×C₁₃	semidirect
451. #3375	C₂×C₁₃	semidirect
452. #3371	C₂×C₁₃	semidirect
453. #3371	C₂×C₁₃	semidirect
454. #3369	C₂×C₁₃	semidirect
455. #3365	C₂×C₁₃	semidirect
456. #3364	C₂×C₁₃	semidirect
457. #3140	C₂×C₁₃	semidirect
458. #3137	C₂×C₁₃	semidirect
460. #3082	C₂×C₁₃	semidirect
461. #3081	C₂×C₁₃	semidirect
462. #3076	C₂×C₁₃	semidirect
463. #3044	C₂×C₁₃	semidirect
465. C₂×#464	C₂×C₁₃	semidirect
466. #2962	C₂×C₁₃	semidirect
467. #2950	C₂×C₁₃	semidirect
468. #2949	C₂×C₁₃	semidirect
469. C₄×#137	C₂×C₁₃	semidirect
542. Q₈²	C₂²×C₁₃	semidirect
546. #557	C₂²×C₁₃	semidirect
547. #557	C₂²×C₁₃	semidirect
548. #557	C₂²×C₁₃	semidirect
572. #491	C₂²×C₁₃	semidirect
577. #489	C₂²×C₁₃	semidirect
581. #488	C₂²×C₁₃	semidirect
582. #487	C₂²×C₁₃	semidirect
584. #479	C₂²×C₁₃	semidirect
585. #479	C₂²×C₁₃	semidirect
586. #479	C₂²×C₁₃	semidirect
587. #479	C₂²×C₁₃	semidirect
590. #478	C₂²×C₁₃	semidirect
591. #478	C₂²×C₁₃	semidirect
592. #477	C₂²×C₁₃	semidirect
593. #477	C₂²×C₁₃	semidirect
595. #476	C₂²×C₁₃	semidirect
596. #475	C₂²×C₁₃	semidirect
597. #475	C₂²×C₁₃	semidirect
599. #474	C₂²×C₁₃	semidirect
606. #464	C₂²×C₁₃	semidirect
607. #464	C₂²×C₁₃	semidirect
608. #462	C₂²×C₁₃	semidirect
609. #462	C₂²×C₁₃	semidirect
612. #446	C₂²×C₁₃	semidirect
613. #446	C₂²×C₁₃	semidirect
614. #446	C₂²×C₁₃	semidirect
615. C₈×Q₈	C₂²×C₁₃	semidirect
616. #441	C₂²×C₁₃	semidirect
617. #441	C₂²×C₁₃	semidirect
618. #441	C₂²×C₁₃	semidirect
621. #440	C₂²×C₁₃	semidirect
622. C₄×Q₁₆	C₂²×C₁₃	semidirect
623. C₄×Q₁₆	C₂²×C₁₃	semidirect
624. C₄×Q₁₆	C₂²×C₁₃	semidirect
627. C₄×SD₁₆	C₂²×C₁₃	semidirect
996. C₁₃	#61344	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×#3510	2
C₁₃×#3502	2
C₁₃×#3377	2
C₁₃×#3375	2
C₁₃×#3371	2
C₁₃×#3369	2
C₁₃×#3365	2
C₁₃×#3364	2
C₁₃×#3140	2
C₁₃×#3137	2
C₁₃×#3136	2
C₁₃×#3082	2
C₁₃×#3081	2
C₁₃×#3076	2
C₁₃×#3044	2
C₁₃×#3043	2
C₂×C₁₃×#464	2
C₁₃×#2962	2
C₁₃×#2950	2
C₁₃×#2949	2
C₄×C₁₃×#137	2
#61344	13

Subgroups — C13×#61344 #15747683

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61344 #15747683