Subgroups — C₁₃×#60876 #15747215

Order 3328.

1640 conjugacy classes of subgroups.

The subgroup lattice has 1086 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3495	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3244	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3242	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3242	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3240	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3237	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3233	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3231	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3163	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3137	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3137	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3095	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3093	C₂	1	1	yes	maximal, characteristic
17	C₁₃×#3091	C₂	1	1	yes	maximal, characteristic
18	C₂×C₁₃×#485	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#556	—	2	1	no	—
25	C₁₃×#554	—	2	1	no	—
26	C₁₃×#552	—	2	2	no	—
27	C₁₃×#552	—	2	1	no	—
28	C₁₃×#552	—	2	1	no	—
29	C₁₃×#551	—	2	2	no	—
30	C₁₃×#544	—	2	1	no	—
31	C₁₃×#544	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic
33	C₁₃×#544	C₂²	1	1	yes	characteristic
34	C₁₃×#544	C₂²	1	1	yes	characteristic
35	C₁₃×#544	C₂²	1	1	yes	characteristic
36	C₁₃×#544	C₂²	1	1	yes	characteristic
37	C₁₃×#544	C₂²	1	2	yes	—
38	C₁₃×#544	C₂²	1	2	yes	—
39	C₁₃×#543	—	2	2	no	—
40	C₁₃×#542	C₂²	1	2	yes	—
41	C₁₃×#541	C₂²	1	2	yes	—
42	C₁₃×#536	C₂²	1	1	yes	characteristic
43	C₁₃×#533	—	2	2	no	—
44	C₁₃×#533	—	2	1	no	—
45	C₁₃×#533	—	2	1	no	—
46	C₁₃×#533	C₂²	1	2	yes	—
47	C₁₃×#533	C₂²	1	2	yes	—
48	C₁₃×#533	C₂²	1	2	yes	—
49	C₁₃×#529	C₂²	1	2	yes	—
50	C₁₃×#525	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
52	C₁₃×#520	C₂²	1	1	yes	characteristic
53	C₁₃×#519	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	2	yes	complemented
58	C₁₃×#501	C₂²	1	2	yes	complemented
59	C₁₃×#501	C₂²	1	2	yes	complemented
60	C₁₃×#501	C₂²	1	2	yes	complemented
61	C₁₃×#500	C₂²	1	2	yes	complemented
62	C₁₃×#499	C₂²	1	2	yes	complemented
63	C₁₃×#499	C₂²	1	2	yes	complemented
64	C₁₃×#498	C₂²	1	2	yes	complemented
65	C₁₃×#491	C₂²	1	2	yes	complemented
66	C₁₃×#491	C₂²	1	2	yes	complemented
67	C₁₃×#489	C₂²	1	2	yes	complemented
68	C₁₃×#489	C₂²	1	2	yes	complemented
69	C₁₃×#488	C₂²	1	2	yes	complemented
70	C₁₃×#488	C₂²	1	2	yes	complemented
71	C₁₃×#487	C₂²	1	2	yes	complemented
72	C₁₃×#487	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	—
74	C₁₃×#485	C₂²	1	2	yes	—
75	C₁₃×#485	C₂²	1	2	yes	—
76	C₁₃×#485	C₂²	1	2	yes	—
77	C₁₃×#485	C₂²	1	1	yes	characteristic
78	C₁₃×#485	C₂²	1	1	yes	characteristic
79	C₁₃×#485	C₂²	1	2	yes	—
80	C₁₃×#485	C₂²	1	2	yes	—
81	C₁₃×#485	C₂²	1	2	yes	—
82	C₁₃×#485	C₂²	1	2	yes	—
83	C₁₃×#484	C₂²	1	1	yes	characteristic
84	C₁₃×#484	C₂²	1	2	yes	—
85	C₁₃×#483	C₂²	1	1	yes	characteristic
86	C₁₃×#483	C₂²	1	2	yes	—
87	C₁₃×#482	C₂²	1	1	yes	characteristic
88	C₁₃×#482	C₂²	1	1	yes	characteristic
89	C₁₃×#482	C₂²	1	2	yes	—
90	C₁₃×#482	C₂²	1	2	yes	—
91	C₁₃×#481	C₂²	1	1	yes	characteristic
92	C₁₃×#480	C₂²	1	1	yes	characteristic
93	C₁₃×#479	C₂²	1	2	yes	complemented
94	C₁₃×#479	C₂²	1	2	yes	complemented
95	C₁₃×#479	C₂²	1	2	yes	complemented
96	C₁₃×#479	C₂²	1	2	yes	complemented
97	C₁₃×#479	C₂²	1	2	yes	complemented
98	C₁₃×#479	C₂²	1	2	yes	complemented
99	C₁₃×#478	C₂²	1	2	yes	complemented
100	C₁₃×#478	C₂²	1	2	yes	complemented
101	C₁₃×#477	C₂²	1	2	yes	complemented
102	C₁₃×#477	C₂²	1	2	yes	complemented
103	C₁₃×#477	C₂²	1	2	yes	complemented
104	C₁₃×#476	C₂²	1	2	yes	complemented
105	C₁₃×#475	C₂²	1	2	yes	complemented
106	C₁₃×#475	C₂²	1	2	yes	complemented
107	C₁₃×#475	C₂²	1	2	yes	complemented
108	C₁₃×#474	C₂²	1	2	yes	complemented
109	C₁₃×#433	C₂²	1	2	yes	—
110	C₁₃×#433	C₂²	1	2	yes	—
111	C₁₃×#432	C₂²	1	2	yes	—
112	C₁₃×#431	C₂²	1	2	yes	—
113	C₁₃×#428	C₂²	1	1	yes	characteristic
114	C₁₃×#428	C₂²	1	1	yes	characteristic
115	C₁₃×#428	C₂²	1	1	yes	characteristic
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	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
120	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
121	C₁₃×#424	C₂²	1	1	yes	characteristic
122	C₁₃×#424	C₂²	1	1	yes	characteristic
123	C₁₃×#419	C₂²	1	1	yes	characteristic
124	C₁₃×#419	C₂²	1	1	yes	characteristic
125	C₁₃×#417	C₂²	1	1	yes	characteristic
126	C₁₃×#417	C₂²	1	1	yes	characteristic
127	C₁₃×#416	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
131	C₁₃×#407	C₂²	1	1	yes	characteristic
132	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
133	C₁₃×#405	C₂²	1	1	yes	characteristic
134	C₁₃×#405	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
139	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
140	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₁₃×C₄⋊Q₈	—	2	1	no	—
143	C₁₃×C₄⋊Q₈	—	2	1	no	—
144	C₁₃×C₄⋊Q₈	—	2	1	no	—
145	C₁₃×C₄⋊Q₈	—	2	2	no	—
146	C₁₃×C₄⋊Q₈	—	2	1	no	—
147	C₁₃×C₄⋊Q₈	—	2	2	no	—
148	C₁₃×C₄⋊Q₈	—	2	1	no	—
149	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
150	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
151	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
153	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₁₃×#126	—	2	2	no	—
156	C₁₃×#126	—	2	2	no	—
157	C₁₃×#126	—	2	2	no	—
158	C₁₃×#126	—	2	2	no	—
159	C₁₃×#125	—	2	1	no	—
160	C₁₃×#125	—	2	1	no	—
161	C₁₃×#125	—	2	1	no	—
162	C₁₃×#125	—	2	2	no	—
163	C₁₃×#125	—	2	1	no	—
164	C₁₃×#125	—	2	2	no	—
165	C₁₃×#125	—	2	2	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	—	2	1	no	—
168	C₁₃×#125	—	2	2	no	—
169	C₁₃×#125	C₂³	1	2	yes	—
170	C₁₃×#125	C₂³	1	2	yes	—
171	C₁₃×#125	C₂³	1	2	yes	—
172	C₁₃×#125	C₂³	1	2	yes	—
173	C₁₃×#125	C₂³	1	2	yes	—
174	C₁₃×#124	—	2	2	no	—
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×C₂²⋊Q₈	—	2	1	no	—
181	C₁₃×C₂²⋊Q₈	—	2	1	no	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	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	2	no	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
201	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
203	C₁₃×#121	C₂³	1	1	yes	characteristic
204	C₁₃×#121	C₂³	1	1	yes	characteristic
205	C₁₃×#120	—	2	1	no	—
206	C₄×Q₈×C₁₃	—	2	1	no	—
207	C₄×Q₈×C₁₃	—	2	1	no	—
208	C₄×Q₈×C₁₃	—	2	2	no	—
209	C₄×Q₈×C₁₃	—	2	2	no	—
210	C₄×Q₈×C₁₃	—	2	2	no	—
211	C₄×Q₈×C₁₃	—	2	2	no	—
212	C₄×Q₈×C₁₃	—	2	2	no	—
213	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
214	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
216	C₄×D₄×C₁₃	—	2	1	no	—
217	C₄×D₄×C₁₃	—	2	1	no	—
218	C₄×D₄×C₁₃	—	2	2	no	—
219	C₄×D₄×C₁₃	—	2	2	no	—
220	C₄×D₄×C₁₃	C₂³	1	2	yes	—
221	C₁₃×#117	—	2	1	no	—
222	C₁₃×#117	—	2	1	no	—
223	C₁₃×#117	—	2	1	no	—
224	C₁₃×#117	—	2	1	no	—
225	C₁₃×#117	—	2	2	no	—
226	C₁₃×#117	—	2	1	no	—
227	C₁₃×#117	—	2	2	no	—
228	C₁₃×#117	—	2	2	no	—
229	C₁₃×#117	D₄	1	1	yes	characteristic
230	C₁₃×#117	D₄	1	2	yes	—
231	C₁₃×#117	D₄	1	1	yes	characteristic
232	C₁₃×#117	C₂³	1	1	yes	characteristic
233	C₁₃×#117	C₂³	1	1	yes	characteristic
234	C₁₃×#117	C₂³	1	1	yes	characteristic
235	C₁₃×#117	C₂³	1	1	yes	characteristic
236	C₁₃×#117	C₂³	1	1	yes	characteristic
237	C₁₃×#117	C₂³	1	2	yes	—
238	C₁₃×#117	C₂³	1	2	yes	—
239	C₁₃×#117	C₂³	1	1	yes	characteristic
240	C₁₃×#117	C₂³	1	1	yes	characteristic
241	C₁₃×#117	C₂³	1	2	yes	—
242	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
243	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
255	C₂×C₄²×C₁₃	—	2	1	no	—
256	C₂×C₄²×C₁₃	—	2	1	no	—
257	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
258	C₁₃×#107	C₂³	1	2	yes	—
259	C₁₃×#107	C₂³	1	2	yes	—
260	C₁₃×#107	C₂³	1	1	yes	characteristic
261	C₁₃×#107	C₂³	1	1	yes	characteristic
262	C₁₃×#107	C₂³	1	1	yes	characteristic
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	2	yes	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#106	C₂³	1	2	yes	—
269	C₁₃×#106	C₂³	1	2	yes	—
270	C₁₃×#106	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	2	yes	—
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	2	yes	—
283	C₁₃×#103	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	1	yes	characteristic
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	2	yes	—
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×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
305	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#60876	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
314	C₁₃×#41	—	2	2	no	—
315	C₁₃×#41	—	2	2	no	—
316	C₂×Q₈×C₁₃	—	2	1	no	—
317	C₂×Q₈×C₁₃	—	2	2	no	—
318	C₂×Q₈×C₁₃	—	2	2	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	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
325	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₁₃	—	2	1	no	—
327	C₂×D₄×C₁₃	—	2	1	no	—
328	C₂×D₄×C₁₃	—	2	1	no	—
329	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₃	—	2	2	no	—
331	C₂²×C₄×C₁₃	—	2	2	no	—
332	C₂²×C₄×C₁₃	—	2	1	no	—
333	C₂²×C₄×C₁₃	—	2	1	no	—
334	C₂²×C₄×C₁₃	—	2	1	no	—
335	C₂²×C₄×C₁₃	—	2	1	no	—
336	C₂²×C₄×C₁₃	—	2	1	no	—
337	C₂²×C₄×C₁₃	—	2	1	no	—
338	C₂²×C₄×C₁₃	—	2	1	no	—
339	C₂²×C₄×C₁₃	—	2	2	no	—
340	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
341	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
344	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₁₃×M₁₆	—	2	2	no	—
349	C₁₃×M₁₆	—	2	2	no	—
350	C₂×C₈×C₁₃	—	2	2	no	—
351	C₂×C₈×C₁₃	—	2	2	no	—
352	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
355	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
356	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₁₃×C₄⋊C₄	—	2	1	no	—
359	C₁₃×C₄⋊C₄	—	2	2	no	—
360	C₁₃×C₄⋊C₄	—	2	2	no	—
361	C₁₃×C₄⋊C₄	—	2	2	no	—
362	C₁₃×C₄⋊C₄	—	2	1	no	—
363	C₁₃×C₄⋊C₄	—	2	1	no	—
364	C₁₃×C₄⋊C₄	—	2	1	no	—
365	C₁₃×C₄⋊C₄	—	2	1	no	—
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	2	no	—
368	C₁₃×C₄⋊C₄	—	2	2	no	—
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	2	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	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
388	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
389	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
390	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
391	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
392	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
393	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
394	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
395	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
396	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
397	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
398	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
399	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
400	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	1	no	—
404	C₁₃×C₂²⋊C₄	—	2	1	no	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
406	C₁₃×C₂²⋊C₄	—	2	1	no	—
407	C₁₃×C₂²⋊C₄	—	2	1	no	—
408	C₁₃×C₂²⋊C₄	—	2	2	no	—
409	C₁₃×C₂²⋊C₄	—	2	2	no	—
410	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
419	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
420	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
421	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
422	C₄²×C₁₃	—	2	2	no	—
423	C₄²×C₁₃	—	2	1	no	—
424	C₄²×C₁₃	—	2	1	no	—
425	C₄²×C₁₃	—	2	2	no	—
426	C₄²×C₁₃	—	2	1	no	—
427	C₄²×C₁₃	—	2	1	no	—
428	C₄²×C₁₃	—	2	2	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	1	no	—
432	C₄²×C₁₃	C₂×D₄	1	2	yes	—
433	C₄²×C₁₃	C₂×D₄	1	2	yes	—
434	C₄²×C₁₃	C₂⁴	1	2	yes	—
435	C₄²×C₁₃	C₂⁴	1	2	yes	—
436	#3495	C₂×C₁₃	1	1	yes	characteristic
437	#3458	C₂×C₁₃	1	1	yes	characteristic, complemented
438	#3244	C₂×C₁₃	1	2	yes	complemented
439	#3243	C₂×C₁₃	1	2	yes	complemented
440	#3242	C₂×C₁₃	1	2	yes	complemented
441	#3242	C₂×C₁₃	1	2	yes	complemented
442	#3240	C₂×C₁₃	1	2	yes	complemented
443	#3237	C₂×C₁₃	1	2	yes	complemented
444	#3233	C₂×C₁₃	1	2	yes	complemented
445	#3231	C₂×C₁₃	1	2	yes	complemented
446	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3137	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3137	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3095	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3093	C₂×C₁₃	1	1	yes	characteristic
452	#3091	C₂×C₁₃	1	1	yes	characteristic
453	C₂×#485	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#2924	C₂×C₁₃	1	1	yes	characteristic, complemented
459	C₂³×C₁₃	—	2	2	no	—
460	C₂³×C₁₃	—	2	1	no	—
461	C₂³×C₁₃	—	4	1	no	—
462	C₂³×C₁₃	—	4	1	no	—
463	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
464	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
465	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
466	Q₈×C₁₃	—	2	2	no	—
467	Q₈×C₁₃	—	2	2	no	—
468	Q₈×C₁₃	—	2	1	no	—
469	Q₈×C₁₃	—	2	1	no	—
470	Q₈×C₁₃	—	4	2	no	—
471	Q₈×C₁₃	—	8	2	no	—
472	Q₈×C₁₃	—	8	2	no	—
473	Q₈×C₁₃	—	8	2	no	—
474	Q₈×C₁₃	—	8	2	no	—
475	Q₈×C₁₃	—	8	2	no	—
476	D₄×C₁₃	—	2	1	no	—
477	D₄×C₁₃	—	2	1	no	—
478	D₄×C₁₃	—	4	2	no	—
479	D₄×C₁₃	—	4	2	no	—
480	D₄×C₁₃	—	8	1	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	2	no	—
484	C₂×C₄×C₁₃	—	2	1	no	—
485	C₂×C₄×C₁₃	—	2	1	no	—
486	C₂×C₄×C₁₃	—	2	1	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	1	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	1	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	1	no	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	4	2	no	—
500	C₂×C₄×C₁₃	—	4	2	no	—
501	C₂×C₄×C₁₃	—	4	2	no	—
502	C₂×C₄×C₁₃	—	4	2	no	—
503	C₂×C₄×C₁₃	—	8	2	no	—
504	C₂×C₄×C₁₃	—	8	1	no	—
505	C₂×C₄×C₁₃	—	8	1	no	—
506	C₂×C₄×C₁₃	—	8	1	no	—
507	C₂×C₄×C₁₃	—	8	1	no	—
508	C₂×C₄×C₁₃	—	8	1	no	—
509	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
513	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
514	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
517	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
518	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
519	C₈×C₁₃	—	2	1	no	—
520	C₈×C₁₃	—	2	1	no	—
521	C₈×C₁₃	—	2	1	no	—
522	C₈×C₁₃	—	2	1	no	—
523	C₈×C₁₃	—	2	2	no	—
524	C₈×C₁₃	—	2	2	no	—
525	#556	—	2	1	no	—
526	#554	—	2	1	no	—
527	#552	—	2	2	no	—
528	#552	—	2	1	no	—
529	#552	—	2	1	no	—
530	#551	—	2	2	no	—
531	#544	—	2	1	no	—
532	#544	—	2	1	no	—
533	#544	C₂²×C₁₃	1	1	yes	characteristic
534	#544	C₂²×C₁₃	1	1	yes	characteristic
535	#544	C₂²×C₁₃	1	1	yes	characteristic
536	#544	C₂²×C₁₃	1	1	yes	characteristic
537	#544	C₂²×C₁₃	1	1	yes	characteristic
538	#544	C₂²×C₁₃	1	2	yes	—
539	#544	C₂²×C₁₃	1	2	yes	—
540	#543	—	2	2	no	—
541	#542	C₂²×C₁₃	1	2	yes	—
542	#541	C₂²×C₁₃	1	2	yes	—
543	#536	C₂²×C₁₃	1	1	yes	characteristic
544	#533	—	2	2	no	—
545	#533	—	2	1	no	—
546	#533	—	2	1	no	—
547	#533	C₂²×C₁₃	1	2	yes	—
548	#533	C₂²×C₁₃	1	2	yes	—
549	#533	C₂²×C₁₃	1	2	yes	—
550	#529	C₂²×C₁₃	1	2	yes	—
551	#525	C₂²×C₁₃	1	1	yes	characteristic
552	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
553	#520	C₂²×C₁₃	1	1	yes	characteristic
554	#519	C₂²×C₁₃	1	1	yes	characteristic
555	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
556	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
557	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
558	#501	C₂²×C₁₃	1	2	yes	complemented
559	#501	C₂²×C₁₃	1	2	yes	complemented
560	#501	C₂²×C₁₃	1	2	yes	complemented
561	#501	C₂²×C₁₃	1	2	yes	complemented
562	#500	C₂²×C₁₃	1	2	yes	complemented
563	#499	C₂²×C₁₃	1	2	yes	complemented
564	#499	C₂²×C₁₃	1	2	yes	complemented
565	#498	C₂²×C₁₃	1	2	yes	complemented
566	#491	C₂²×C₁₃	1	2	yes	complemented
567	#491	C₂²×C₁₃	1	2	yes	complemented
568	#489	C₂²×C₁₃	1	2	yes	complemented
569	#489	C₂²×C₁₃	1	2	yes	complemented
570	#488	C₂²×C₁₃	1	2	yes	complemented
571	#488	C₂²×C₁₃	1	2	yes	complemented
572	#487	C₂²×C₁₃	1	2	yes	complemented
573	#487	C₂²×C₁₃	1	2	yes	complemented
574	#485	C₂²×C₁₃	1	2	yes	—
575	#485	C₂²×C₁₃	1	2	yes	—
576	#485	C₂²×C₁₃	1	2	yes	—
577	#485	C₂²×C₁₃	1	2	yes	—
578	#485	C₂²×C₁₃	1	1	yes	characteristic
579	#485	C₂²×C₁₃	1	1	yes	characteristic
580	#485	C₂²×C₁₃	1	2	yes	—
581	#485	C₂²×C₁₃	1	2	yes	—
582	#485	C₂²×C₁₃	1	2	yes	—
583	#485	C₂²×C₁₃	1	2	yes	—
584	#484	C₂²×C₁₃	1	1	yes	characteristic
585	#484	C₂²×C₁₃	1	2	yes	—
586	#483	C₂²×C₁₃	1	1	yes	characteristic
587	#483	C₂²×C₁₃	1	2	yes	—
588	#482	C₂²×C₁₃	1	1	yes	characteristic
589	#482	C₂²×C₁₃	1	1	yes	characteristic
590	#482	C₂²×C₁₃	1	2	yes	—
591	#482	C₂²×C₁₃	1	2	yes	—
592	#481	C₂²×C₁₃	1	1	yes	characteristic
593	#480	C₂²×C₁₃	1	1	yes	characteristic
594	#479	C₂²×C₁₃	1	2	yes	complemented
595	#479	C₂²×C₁₃	1	2	yes	complemented
596	#479	C₂²×C₁₃	1	2	yes	complemented
597	#479	C₂²×C₁₃	1	2	yes	complemented
598	#479	C₂²×C₁₃	1	2	yes	complemented
599	#479	C₂²×C₁₃	1	2	yes	complemented
600	#478	C₂²×C₁₃	1	2	yes	complemented
601	#478	C₂²×C₁₃	1	2	yes	complemented
602	#477	C₂²×C₁₃	1	2	yes	complemented
603	#477	C₂²×C₁₃	1	2	yes	complemented
604	#477	C₂²×C₁₃	1	2	yes	complemented
605	#476	C₂²×C₁₃	1	2	yes	complemented
606	#475	C₂²×C₁₃	1	2	yes	complemented
607	#475	C₂²×C₁₃	1	2	yes	complemented
608	#475	C₂²×C₁₃	1	2	yes	complemented
609	#474	C₂²×C₁₃	1	2	yes	complemented
610	#433	C₂²×C₁₃	1	2	yes	—
611	#433	C₂²×C₁₃	1	2	yes	—
612	#432	C₂²×C₁₃	1	2	yes	—
613	#431	C₂²×C₁₃	1	2	yes	—
614	#428	C₂²×C₁₃	1	1	yes	characteristic
615	#428	C₂²×C₁₃	1	1	yes	characteristic
616	#428	C₂²×C₁₃	1	1	yes	characteristic
617	#428	C₂²×C₁₃	1	1	yes	characteristic
618	#427	C₂²×C₁₃	1	1	yes	characteristic
619	#427	C₂²×C₁₃	1	1	yes	characteristic
620	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
621	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
622	#424	C₂²×C₁₃	1	1	yes	characteristic
623	#424	C₂²×C₁₃	1	1	yes	characteristic
624	#419	C₂²×C₁₃	1	1	yes	characteristic
625	#419	C₂²×C₁₃	1	1	yes	characteristic
626	#417	C₂²×C₁₃	1	1	yes	characteristic
627	#417	C₂²×C₁₃	1	1	yes	characteristic
628	#416	C₂²×C₁₃	1	1	yes	characteristic
629	#416	C₂²×C₁₃	1	1	yes	characteristic
630	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
631	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
632	#407	C₂²×C₁₃	1	1	yes	characteristic
633	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
634	#405	C₂²×C₁₃	1	1	yes	characteristic
635	#405	C₂²×C₁₃	1	1	yes	characteristic
636	C₂²×C₁₃	—	2	1	no	—
637	C₂²×C₁₃	—	2	1	no	—
638	C₂²×C₁₃	—	2	1	no	—
639	C₂²×C₁₃	—	2	1	no	—
640	C₂²×C₁₃	—	2	1	no	—
641	C₂²×C₁₃	—	2	1	no	—
642	C₂²×C₁₃	—	2	1	no	—
643	C₂²×C₁₃	—	2	1	no	—
644	C₂²×C₁₃	—	4	1	no	—
645	C₂²×C₁₃	—	4	1	no	—
646	C₂²×C₁₃	—	4	1	no	—
647	C₂²×C₁₃	—	8	2	no	—
648	C₂²×C₁₃	#536	1	2	yes	—
649	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
650	C₄×C₁₃	—	2	2	no	—
651	C₄×C₁₃	—	2	2	no	—
652	C₄×C₁₃	—	2	2	no	—
653	C₄×C₁₃	—	2	2	no	—
654	C₄×C₁₃	—	2	1	no	—
655	C₄×C₁₃	—	2	1	no	—
656	C₄×C₁₃	—	4	2	no	—
657	C₄×C₁₃	—	4	2	no	—
658	C₄×C₁₃	—	4	1	no	—
659	C₄×C₁₃	—	4	1	no	—
660	C₄×C₁₃	—	4	1	no	—
661	C₄×C₁₃	—	4	2	no	—
662	C₄×C₁₃	—	4	1	no	—
663	C₄×C₁₃	—	4	1	no	—
664	C₄×C₁₃	—	4	1	no	—
665	C₄×C₁₃	—	4	1	no	—
666	C₄×C₁₃	—	4	2	no	—
667	C₄×C₁₃	#536	1	2	yes	—
668	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
669	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
670	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
671	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
672	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
673	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
674	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
675	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
676	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
677	C₄⋊Q₈	—	2	1	no	—
678	C₄⋊Q₈	—	2	1	no	—
679	C₄⋊Q₈	—	2	1	no	—
680	C₄⋊Q₈	—	2	2	no	—
681	C₄⋊Q₈	—	2	1	no	—
682	C₄⋊Q₈	—	2	2	no	—
683	C₄⋊Q₈	—	2	1	no	—
684	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
685	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
686	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
687	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
688	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
689	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
690	#126	—	2	2	no	—
691	#126	—	2	2	no	—
692	#126	—	2	2	no	—
693	#126	—	2	2	no	—
694	#125	—	2	1	no	—
695	#125	—	2	1	no	—
696	#125	—	2	1	no	—
697	#125	—	2	2	no	—
698	#125	—	2	1	no	—
699	#125	—	2	2	no	—
700	#125	—	2	2	no	—
701	#125	—	2	2	no	—
702	#125	—	2	1	no	—
703	#125	—	2	2	no	—
704	#125	C₂³×C₁₃	1	2	yes	—
705	#125	C₂³×C₁₃	1	2	yes	—
706	#125	C₂³×C₁₃	1	2	yes	—
707	#125	C₂³×C₁₃	1	2	yes	—
708	#125	C₂³×C₁₃	1	2	yes	—
709	#124	—	2	2	no	—
710	#124	C₂³×C₁₃	1	2	yes	—
711	#123	—	2	1	no	—
712	#123	—	2	2	no	—
713	#123	—	2	2	no	—
714	#123	—	2	2	no	—
715	C₂²⋊Q₈	—	2	1	no	—
716	C₂²⋊Q₈	—	2	1	no	—
717	C₂²⋊Q₈	—	2	2	no	—
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	—	2	2	no	—
720	C₂²⋊Q₈	—	2	2	no	—
721	C₂²⋊Q₈	—	2	2	no	—
722	C₂²⋊Q₈	—	2	1	no	—
723	C₂²⋊Q₈	—	2	1	no	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	—	2	2	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
735	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
736	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
738	#121	C₂³×C₁₃	1	1	yes	characteristic
739	#121	C₂³×C₁₃	1	1	yes	characteristic
740	#120	—	2	1	no	—
741	C₄×Q₈	—	2	1	no	—
742	C₄×Q₈	—	2	1	no	—
743	C₄×Q₈	—	2	2	no	—
744	C₄×Q₈	—	2	2	no	—
745	C₄×Q₈	—	2	2	no	—
746	C₄×Q₈	—	2	2	no	—
747	C₄×Q₈	—	2	2	no	—
748	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
749	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
750	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
751	C₄×D₄	—	2	1	no	—
752	C₄×D₄	—	2	1	no	—
753	C₄×D₄	—	2	2	no	—
754	C₄×D₄	—	2	2	no	—
755	C₄×D₄	C₂³×C₁₃	1	2	yes	—
756	#117	—	2	1	no	—
757	#117	—	2	1	no	—
758	#117	—	2	1	no	—
759	#117	—	2	1	no	—
760	#117	—	2	2	no	—
761	#117	—	2	1	no	—
762	#117	—	2	2	no	—
763	#117	—	2	2	no	—
764	#117	D₄×C₁₃	1	1	yes	characteristic
765	#117	D₄×C₁₃	1	2	yes	—
766	#117	D₄×C₁₃	1	1	yes	characteristic
767	#117	C₂³×C₁₃	1	2	yes	—
768	#117	C₂³×C₁₃	1	1	yes	characteristic
769	#117	C₂³×C₁₃	1	1	yes	characteristic
770	#117	C₂³×C₁₃	1	1	yes	characteristic
771	#117	C₂³×C₁₃	1	1	yes	characteristic
772	#117	C₂³×C₁₃	1	2	yes	—
773	#117	C₂³×C₁₃	1	1	yes	characteristic
774	#117	C₂³×C₁₃	1	1	yes	characteristic
775	#117	C₂³×C₁₃	1	1	yes	characteristic
776	#117	C₂³×C₁₃	1	2	yes	—
777	C₂×C₄⋊C₄	—	2	1	no	—
778	C₂×C₄⋊C₄	—	2	1	no	—
779	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	—	2	1	no	—
787	C₂×C₂²⋊C₄	—	2	1	no	—
788	C₂×C₂²⋊C₄	—	2	1	no	—
789	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
790	C₂×C₄²	—	2	1	no	—
791	C₂×C₄²	—	2	1	no	—
792	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
793	#107	C₂³×C₁₃	1	2	yes	—
794	#107	C₂³×C₁₃	1	2	yes	—
795	#107	C₂³×C₁₃	1	1	yes	characteristic
796	#107	C₂³×C₁₃	1	1	yes	characteristic
797	#107	C₂³×C₁₃	1	1	yes	characteristic
798	#107	C₂³×C₁₃	1	1	yes	characteristic
799	#107	C₂³×C₁₃	1	2	yes	—
800	#107	C₂³×C₁₃	1	2	yes	—
801	#107	C₂³×C₁₃	1	2	yes	—
802	#107	C₂³×C₁₃	1	2	yes	—
803	#106	C₂³×C₁₃	1	2	yes	—
804	#106	C₂³×C₁₃	1	2	yes	—
805	#106	C₂³×C₁₃	1	1	yes	characteristic
806	#106	C₂³×C₁₃	1	1	yes	characteristic
807	#106	C₂³×C₁₃	1	1	yes	characteristic
808	#106	C₂³×C₁₃	1	1	yes	characteristic
809	#106	C₂³×C₁₃	1	2	yes	—
810	#106	C₂³×C₁₃	1	2	yes	—
811	#106	C₂³×C₁₃	1	2	yes	—
812	#106	C₂³×C₁₃	1	2	yes	—
813	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
814	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
815	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
816	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
817	#103	C₂³×C₁₃	1	2	yes	—
818	#103	C₂³×C₁₃	1	2	yes	—
819	#103	C₂³×C₁₃	1	2	yes	—
820	#103	C₂³×C₁₃	1	2	yes	—
821	#103	C₂³×C₁₃	1	1	yes	characteristic
822	#103	C₂³×C₁₃	1	1	yes	characteristic
823	#103	C₂³×C₁₃	1	1	yes	characteristic
824	#103	C₂³×C₁₃	1	1	yes	characteristic
825	#103	C₂³×C₁₃	1	2	yes	—
826	#103	C₂³×C₁₃	1	2	yes	—
827	#103	C₂³×C₁₃	1	2	yes	—
828	#103	C₂³×C₁₃	1	2	yes	—
829	#103	C₂³×C₁₃	1	2	yes	—
830	#103	C₂³×C₁₃	1	2	yes	—
831	#102	C₂³×C₁₃	1	1	yes	characteristic
832	#102	C₂³×C₁₃	1	1	yes	characteristic
833	#102	C₂³×C₁₃	1	1	yes	characteristic
834	#102	C₂³×C₁₃	1	1	yes	characteristic
835	#102	C₂³×C₁₃	1	2	yes	—
836	#102	C₂³×C₁₃	1	2	yes	—
837	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
839	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
840	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
841	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
842	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
843	#97	C₂³×C₁₃	1	2	yes	—
844	#97	C₂³×C₁₃	1	2	yes	—
845	C₄×C₈	C₂³×C₁₃	1	2	yes	—
846	C₄×C₈	C₂³×C₁₃	1	2	yes	—
847	C₂×C₁₃	—	2	2	no	—
848	C₂×C₁₃	—	4	1	no	—
849	C₂×C₁₃	—	4	1	no	—
850	C₂×C₁₃	—	8	1	no	—
851	C₂×C₁₃	C₂×#536	1	1	yes	characteristic
852	C₂×C₁₃	#3584	1	1	yes	characteristic
853	C₂×C₁₃	#3586	1	1	yes	characteristic
854	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
855	#41	—	2	2	no	—
856	#41	—	2	2	no	—
857	C₂×Q₈	—	2	1	no	—
858	C₂×Q₈	—	2	2	no	—
859	C₂×Q₈	—	2	2	no	—
860	C₂×Q₈	—	2	2	no	—
861	C₂×Q₈	—	2	2	no	—
862	C₂×Q₈	—	2	2	no	—
863	C₂×Q₈	—	2	2	no	—
864	C₂×Q₈	—	2	2	no	—
865	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
866	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
867	C₂×D₄	—	2	1	no	—
868	C₂×D₄	—	2	1	no	—
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	1	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
882	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
883	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
884	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
885	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
886	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
889	M₁₆	—	2	2	no	—
890	M₁₆	—	2	2	no	—
891	C₂×C₈	—	2	2	no	—
892	C₂×C₈	—	2	2	no	—
893	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
894	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
895	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
896	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
897	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	1	no	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	1	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	1	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	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	C₂×D₄×C₁₃	1	1	yes	characteristic
929	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
930	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
931	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
933	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
934	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
937	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
938	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
939	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
940	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
941	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
942	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	1	no	—
945	C₂²⋊C₄	—	2	1	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	1	no	—
948	C₂²⋊C₄	—	2	1	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	1	no	—
952	C₂²⋊C₄	—	2	1	no	—
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	1	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
960	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
961	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
962	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
963	C₄²	—	2	2	no	—
964	C₄²	—	2	1	no	—
965	C₄²	—	2	1	no	—
966	C₄²	—	2	2	no	—
967	C₄²	—	2	1	no	—
968	C₄²	—	2	1	no	—
969	C₄²	—	2	2	no	—
970	C₄²	—	2	2	no	—
971	C₄²	—	2	2	no	—
972	C₄²	—	2	1	no	—
973	C₄²	C₂×D₄×C₁₃	1	2	yes	—
974	C₄²	C₂×D₄×C₁₃	1	2	yes	—
975	C₄²	C₂⁴×C₁₃	1	2	yes	—
976	C₄²	C₂⁴×C₁₃	1	2	yes	—
977	C₁₃	#60876	1	1	yes	characteristic, direct product factor, Sylow
978	C₂³	—	2	2	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	4	1	no	—
981	C₂³	—	4	1	no	—
982	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
983	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
984	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
985	Q₈	—	2	2	no	—
986	Q₈	—	2	2	no	—
987	Q₈	—	2	1	no	—
988	Q₈	—	2	1	no	—
989	Q₈	—	4	2	no	—
990	Q₈	—	8	2	no	—
991	Q₈	—	8	2	no	—
992	Q₈	—	8	2	no	—
993	Q₈	—	8	2	no	—
994	Q₈	—	8	2	no	—
995	D₄	—	2	1	no	—
996	D₄	—	2	1	no	—
997	D₄	—	4	2	no	—
998	D₄	—	4	2	no	—
999	D₄	—	8	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	4	2	no	—
1019	C₂×C₄	—	4	2	no	—
1020	C₂×C₄	—	4	2	no	—
1021	C₂×C₄	—	4	2	no	—
1022	C₂×C₄	—	8	2	no	—
1023	C₂×C₄	—	8	1	no	—
1024	C₂×C₄	—	8	1	no	—
1025	C₂×C₄	—	8	1	no	—
1026	C₂×C₄	—	8	1	no	—
1027	C₂×C₄	—	8	1	no	—
1028	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1029	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1030	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1031	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1032	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1033	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1034	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1035	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1036	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1037	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1038	C₈	—	2	1	no	—
1039	C₈	—	2	1	no	—
1040	C₈	—	2	1	no	—
1041	C₈	—	2	1	no	—
1042	C₈	—	2	2	no	—
1043	C₈	—	2	2	no	—
1044	C₂²	—	2	1	no	—
1045	C₂²	—	2	1	no	—
1046	C₂²	—	2	1	no	—
1047	C₂²	—	2	1	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	1	no	—
1050	C₂²	—	2	1	no	—
1051	C₂²	—	2	1	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	8	2	no	—
1056	C₂²	C₁₃×#536	1	2	yes	—
1057	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1058	C₄	—	2	2	no	—
1059	C₄	—	2	2	no	—
1060	C₄	—	2	2	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	1	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	2	no	—
1066	C₄	—	4	1	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	1	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	2	no	—
1075	C₄	C₁₃×#536	1	2	yes	—
1076	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1077	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1078	C₂	—	2	2	no	—
1079	C₂	—	4	1	no	—
1080	C₂	—	4	1	no	—
1081	C₂	—	8	1	no	—
1082	C₂	C₂×C₁₃×#536	1	1	yes	characteristic
1083	C₂	C₁₃×#3584	1	1	yes	characteristic
1084	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×#525	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#3458	C₂	semidirect
3. C₁₃×#3244	C₂	semidirect
4. C₁₃×#3243	C₂	semidirect
5. C₁₃×#3242	C₂	semidirect
6. C₁₃×#3242	C₂	semidirect
7. C₁₃×#3240	C₂	semidirect
8. C₁₃×#3237	C₂	semidirect
9. C₁₃×#3233	C₂	semidirect
10. C₁₃×#3231	C₂	semidirect
11. C₁₃×#3164	C₂	semidirect
12. C₁₃×#3163	C₂	semidirect
13. C₁₃×#3137	C₂	semidirect
14. C₁₃×#3137	C₂	semidirect
15. C₁₃×#3095	C₂	semidirect
18. C₂×C₁₃×#485	C₂	semidirect
19. C₁₃×#3084	C₂	semidirect
20. C₁₃×#3083	C₂	semidirect
21. C₁₃×#3082	C₂	semidirect
22. C₁₃×#3082	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#501	C₂²	semidirect
59. C₁₃×#501	C₂²	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#500	C₂²	semidirect
62. C₁₃×#499	C₂²	semidirect
63. C₁₃×#499	C₂²	semidirect
64. C₁₃×#498	C₂²	semidirect
65. C₁₃×#491	C₂²	semidirect
66. C₁₃×#491	C₂²	semidirect
67. C₁₃×#489	C₂²	semidirect
68. C₁₃×#489	C₂²	semidirect
69. C₁₃×#488	C₂²	semidirect
70. C₁₃×#488	C₂²	semidirect
71. C₁₃×#487	C₂²	semidirect
72. C₁₃×#487	C₂²	semidirect
93. C₁₃×#479	C₂²	semidirect
94. C₁₃×#479	C₂²	semidirect
95. C₁₃×#479	C₂²	semidirect
96. C₁₃×#479	C₂²	semidirect
97. C₁₃×#479	C₂²	semidirect
98. C₁₃×#479	C₂²	semidirect
99. C₁₃×#478	C₂²	semidirect
100. C₁₃×#478	C₂²	semidirect
101. C₁₃×#477	C₂²	semidirect
102. C₁₃×#477	C₂²	semidirect
103. C₁₃×#477	C₂²	semidirect
104. C₁₃×#476	C₂²	semidirect
105. C₁₃×#475	C₂²	semidirect
106. C₁₃×#475	C₂²	semidirect
107. C₁₃×#475	C₂²	semidirect
108. C₁₃×#474	C₂²	semidirect
312. #60876	C₁₃	direct (N × H)
437. #3458	C₂×C₁₃	semidirect
438. #3244	C₂×C₁₃	semidirect
439. #3243	C₂×C₁₃	semidirect
440. #3242	C₂×C₁₃	semidirect
441. #3242	C₂×C₁₃	semidirect
442. #3240	C₂×C₁₃	semidirect
443. #3237	C₂×C₁₃	semidirect
444. #3233	C₂×C₁₃	semidirect
445. #3231	C₂×C₁₃	semidirect
446. #3164	C₂×C₁₃	semidirect
447. #3163	C₂×C₁₃	semidirect
448. #3137	C₂×C₁₃	semidirect
449. #3137	C₂×C₁₃	semidirect
450. #3095	C₂×C₁₃	semidirect
453. C₂×#485	C₂×C₁₃	semidirect
454. #3084	C₂×C₁₃	semidirect
455. #3083	C₂×C₁₃	semidirect
456. #3082	C₂×C₁₃	semidirect
457. #3082	C₂×C₁₃	semidirect
458. #2924	C₂×C₁₃	semidirect
558. #501	C₂²×C₁₃	semidirect
559. #501	C₂²×C₁₃	semidirect
560. #501	C₂²×C₁₃	semidirect
561. #501	C₂²×C₁₃	semidirect
562. #500	C₂²×C₁₃	semidirect
563. #499	C₂²×C₁₃	semidirect
564. #499	C₂²×C₁₃	semidirect
565. #498	C₂²×C₁₃	semidirect
566. #491	C₂²×C₁₃	semidirect
567. #491	C₂²×C₁₃	semidirect
568. #489	C₂²×C₁₃	semidirect
569. #489	C₂²×C₁₃	semidirect
570. #488	C₂²×C₁₃	semidirect
571. #488	C₂²×C₁₃	semidirect
572. #487	C₂²×C₁₃	semidirect
573. #487	C₂²×C₁₃	semidirect
594. #479	C₂²×C₁₃	semidirect
595. #479	C₂²×C₁₃	semidirect
596. #479	C₂²×C₁₃	semidirect
597. #479	C₂²×C₁₃	semidirect
598. #479	C₂²×C₁₃	semidirect
599. #479	C₂²×C₁₃	semidirect
600. #478	C₂²×C₁₃	semidirect
601. #478	C₂²×C₁₃	semidirect
602. #477	C₂²×C₁₃	semidirect
603. #477	C₂²×C₁₃	semidirect
604. #477	C₂²×C₁₃	semidirect
605. #476	C₂²×C₁₃	semidirect
606. #475	C₂²×C₁₃	semidirect
607. #475	C₂²×C₁₃	semidirect
608. #475	C₂²×C₁₃	semidirect
609. #474	C₂²×C₁₃	semidirect
977. C₁₃	#60876	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×#3495	2
C₁₃×#3458	2
C₁₃×#3244	2
C₁₃×#3243	2
C₁₃×#3242	2
C₁₃×#3240	2
C₁₃×#3237	2
C₁₃×#3233	2
C₁₃×#3231	2
C₁₃×#3164	2
C₁₃×#3163	2
C₁₃×#3137	2
C₁₃×#3095	2
C₁₃×#3093	2
C₁₃×#3091	2
C₂×C₁₃×#485	2
C₁₃×#3084	2
C₁₃×#3083	2
C₁₃×#3082	2
C₁₃×#2924	2
#60876	13

Subgroups — C13×#60876 #15747215

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60876 #15747215