Subgroups — C₁₃×#60875 #15747214

Order 3328.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3494	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×#3241	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3240	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3235	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3233	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3228	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×#3136	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3094	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#482	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×#3081	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#555	—	2	1	no	—
25	C₁₃×#553	—	2	1	no	—
26	C₁₃×#553	—	2	1	no	—
27	C₁₃×#551	—	2	2	no	—
28	C₁₃×#547	—	2	1	no	—
29	C₁₃×#546	—	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	complemented
38	C₁₃×#544	C₂²	1	2	yes	complemented
39	C₁₃×#543	—	2	2	no	—
40	C₁₃×#542	C₂²	1	2	yes	—
41	C₁₃×#540	C₂²	1	2	yes	—
42	C₁₃×#535	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	complemented
47	C₁₃×#533	C₂²	1	2	yes	complemented
48	C₁₃×#532	C₂²	1	2	yes	—
49	C₁₃×#529	C₂²	1	2	yes	—
50	C₁₃×#525	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
52	C₁₃×#520	C₂²	1	1	yes	characteristic
53	C₁₃×#518	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×#490	C₂²	1	2	yes	complemented
66	C₁₃×#490	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×#486	C₂²	1	2	yes	complemented
72	C₁₃×#486	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#485	C₂²	1	2	yes	complemented
76	C₁₃×#485	C₂²	1	2	yes	complemented
77	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#482	C₂²	1	2	yes	—
80	C₁₃×#482	C₂²	1	2	yes	—
81	C₁₃×#482	C₂²	1	2	yes	—
82	C₁₃×#482	C₂²	1	2	yes	—
83	C₁₃×#482	C₂²	1	2	yes	—
84	C₁₃×#482	C₂²	1	2	yes	—
85	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#482	C₂²	1	2	yes	complemented
88	C₁₃×#482	C₂²	1	2	yes	complemented
89	C₁₃×#481	C₂²	1	2	yes	—
90	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#480	C₂²	1	2	yes	—
92	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#479	C₂²	1	2	yes	complemented
94	C₁₃×#479	C₂²	1	2	yes	complemented
95	C₁₃×#478	C₂²	1	2	yes	complemented
96	C₁₃×#478	C₂²	1	2	yes	complemented
97	C₁₃×#478	C₂²	1	2	yes	complemented
98	C₁₃×#478	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×#476	C₂²	1	2	yes	complemented
103	C₁₃×#476	C₂²	1	2	yes	complemented
104	C₁₃×#476	C₂²	1	2	yes	complemented
105	C₁₃×#475	C₂²	1	2	yes	complemented
106	C₁₃×#474	C₂²	1	2	yes	complemented
107	C₁₃×#474	C₂²	1	2	yes	complemented
108	C₁₃×#474	C₂²	1	2	yes	complemented
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#433	C₂²	1	2	yes	complemented
111	C₁₃×#432	C₂²	1	2	yes	complemented
112	C₁₃×#431	C₂²	1	2	yes	complemented
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×#418	C₂²	1	1	yes	characteristic
124	C₁₃×#418	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×#102	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#102	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	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃	—	2	1	no	—
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
142	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₁₃×C₄⋊Q₈	—	2	1	no	—
145	C₁₃×C₄⋊Q₈	—	2	1	no	—
146	C₁₃×C₄⋊Q₈	—	2	1	no	—
147	C₁₃×C₄⋊Q₈	—	2	1	no	—
148	C₁₃×C₄⋊Q₈	—	2	2	no	—
149	C₁₃×C₄⋊Q₈	—	2	2	no	—
150	C₁₃×C₄⋊Q₈	—	2	1	no	—
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×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₃×#127	C₂³	1	2	yes	—
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	1	no	—
163	C₁₃×#125	—	2	2	no	—
164	C₁₃×#125	—	2	2	no	—
165	C₁₃×#125	—	2	1	no	—
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×#125	C₂³	1	2	yes	—
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	2	no	—
173	C₁₃×#124	C₂³	1	2	yes	—
174	C₁₃×#123	—	2	1	no	—
175	C₁₃×#123	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×C₂²⋊Q₈	—	2	2	no	—
180	C₁₃×C₂²⋊Q₈	—	2	2	no	—
181	C₁₃×C₂²⋊Q₈	—	2	2	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	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	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	C₂³	1	1	yes	characteristic
194	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
195	C₁₃×#121	—	2	1	no	—
196	C₁₃×#121	—	2	1	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	C₂³	1	2	yes	—
203	C₁₃×#121	C₂³	1	1	yes	characteristic
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	1	yes	characteristic
206	C₁₃×#120	—	2	1	no	—
207	C₁₃×#120	—	2	2	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	C₂³	1	2	yes	—
213	C₄×D₄×C₁₃	—	2	1	no	—
214	C₄×D₄×C₁₃	—	2	1	no	—
215	C₄×D₄×C₁₃	—	2	2	no	—
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	C₄×D₄×C₁₃	C₂³	1	2	yes	—
222	C₄×D₄×C₁₃	C₂³	1	2	yes	—
223	C₁₃×#117	—	2	1	no	—
224	C₁₃×#117	—	2	1	no	—
225	C₁₃×#117	—	2	1	no	—
226	C₁₃×#117	—	2	1	no	—
227	C₁₃×#117	—	2	1	no	—
228	C₁₃×#117	—	2	2	no	—
229	C₁₃×#117	D₄	1	2	yes	—
230	C₁₃×#117	D₄	1	1	yes	characteristic
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	2	yes	—
236	C₁₃×#117	C₂³	1	1	yes	characteristic
237	C₁₃×#117	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
244	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	C₂³	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×C₂²⋊C₄	—	2	1	no	—
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	2	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	1	yes	characteristic
283	C₁₃×#103	C₂³	1	1	yes	characteristic
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#102	C₂³	1	2	yes	—
289	C₁₃×#102	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	2	yes	—
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	1	yes	characteristic
293	C₁₃×#102	C₂³	1	1	yes	characteristic
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊C₈	C₂³	1	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	#60875	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	1	no	—
314	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
315	C₁₃×#41	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	8	4	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	C₂⁴	1	1	yes	characteristic
324	C₂×D₄×C₁₃	—	2	1	no	—
325	C₂×D₄×C₁₃	—	2	1	no	—
326	C₂×D₄×C₁₃	—	2	2	no	—
327	C₂×D₄×C₁₃	—	2	1	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	8	2	no	—
335	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
336	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₁₃	—	2	2	no	—
338	C₂²×C₄×C₁₃	—	2	2	no	—
339	C₂²×C₄×C₁₃	—	2	1	no	—
340	C₂²×C₄×C₁₃	—	2	1	no	—
341	C₂²×C₄×C₁₃	—	2	1	no	—
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	2	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
352	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
353	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₁₃×M₁₆	—	2	2	no	—
357	C₁₃×M₁₆	—	2	2	no	—
358	C₂×C₈×C₁₃	—	2	2	no	—
359	C₂×C₈×C₁₃	—	2	2	no	—
360	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	C₁₃×C₄⋊C₄	—	2	1	no	—
367	C₁₃×C₄⋊C₄	—	2	2	no	—
368	C₁₃×C₄⋊C₄	—	2	1	no	—
369	C₁₃×C₄⋊C₄	—	2	1	no	—
370	C₁₃×C₄⋊C₄	—	2	1	no	—
371	C₁₃×C₄⋊C₄	—	2	1	no	—
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	1	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	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	1	yes	characteristic
393	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
394	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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×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	1	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	2	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	1	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
424	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
425	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
426	C₄²×C₁₃	—	2	2	no	—
427	C₄²×C₁₃	—	2	1	no	—
428	C₄²×C₁₃	—	2	1	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	1	no	—
431	C₄²×C₁₃	—	2	1	no	—
432	C₄²×C₁₃	—	2	2	no	—
433	C₄²×C₁₃	—	2	1	no	—
434	C₄²×C₁₃	C₂×D₄	1	2	yes	—
435	C₄²×C₁₃	C₂×D₄	1	2	yes	—
436	C₄²×C₁₃	C₂⁴	1	2	yes	—
437	C₄²×C₁₃	C₂⁴	1	2	yes	—
438	#3494	C₂×C₁₃	1	1	yes	characteristic
439	#3458	C₂×C₁₃	1	1	yes	characteristic, complemented
440	#3244	C₂×C₁₃	1	2	yes	complemented
441	#3243	C₂×C₁₃	1	2	yes	complemented
442	#3241	C₂×C₁₃	1	2	yes	complemented
443	#3241	C₂×C₁₃	1	2	yes	complemented
444	#3240	C₂×C₁₃	1	2	yes	complemented
445	#3235	C₂×C₁₃	1	2	yes	complemented
446	#3233	C₂×C₁₃	1	2	yes	complemented
447	#3228	C₂×C₁₃	1	2	yes	complemented
448	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3094	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3093	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3091	C₂×C₁₃	1	1	yes	characteristic, complemented
455	C₂×#482	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#2924	C₂×C₁₃	1	1	yes	characteristic, complemented
461	C₂³×C₁₃	—	2	2	no	—
462	C₂³×C₁₃	—	2	2	no	—
463	C₂³×C₁₃	—	2	1	no	—
464	C₂³×C₁₃	—	4	1	no	—
465	C₂³×C₁₃	—	4	1	no	—
466	C₂³×C₁₃	—	4	2	no	—
467	C₂³×C₁₃	—	8	1	no	—
468	C₂³×C₁₃	—	8	1	no	—
469	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
470	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
471	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
472	Q₈×C₁₃	—	2	1	no	—
473	Q₈×C₁₃	—	2	1	no	—
474	Q₈×C₁₃	—	8	2	no	—
475	Q₈×C₁₃	—	8	2	no	—
476	Q₈×C₁₃	—	8	2	no	—
477	Q₈×C₁₃	—	8	2	no	—
478	Q₈×C₁₃	—	8	2	no	—
479	D₄×C₁₃	—	2	2	no	—
480	D₄×C₁₃	—	2	2	no	—
481	D₄×C₁₃	—	2	1	no	—
482	D₄×C₁₃	—	2	1	no	—
483	D₄×C₁₃	—	4	4	no	—
484	D₄×C₁₃	—	4	2	no	—
485	D₄×C₁₃	—	4	2	no	—
486	D₄×C₁₃	—	4	2	no	—
487	D₄×C₁₃	—	8	2	no	—
488	D₄×C₁₃	—	8	2	no	—
489	D₄×C₁₃	—	8	1	no	—
490	D₄×C₁₃	—	8	2	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	1	no	—
496	C₂×C₄×C₁₃	—	2	1	no	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	1	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	2	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	1	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	4	2	no	—
509	C₂×C₄×C₁₃	—	4	2	no	—
510	C₂×C₄×C₁₃	—	4	2	no	—
511	C₂×C₄×C₁₃	—	8	2	no	—
512	C₂×C₄×C₁₃	—	8	2	no	—
513	C₂×C₄×C₁₃	—	8	2	no	—
514	C₂×C₄×C₁₃	—	8	1	no	—
515	C₂×C₄×C₁₃	—	8	1	no	—
516	C₂×C₄×C₁₃	—	8	1	no	—
517	C₂×C₄×C₁₃	—	8	1	no	—
518	C₂×C₄×C₁₃	—	8	1	no	—
519	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	2₋¹⁺⁴	1	2	yes	—
527	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
528	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
529	C₈×C₁₃	—	2	1	no	—
530	C₈×C₁₃	—	2	1	no	—
531	C₈×C₁₃	—	2	1	no	—
532	C₈×C₁₃	—	2	1	no	—
533	C₈×C₁₃	—	2	2	no	—
534	C₈×C₁₃	—	2	2	no	—
535	#555	—	2	1	no	—
536	#553	—	2	1	no	—
537	#553	—	2	1	no	—
538	#551	—	2	2	no	—
539	#547	—	2	1	no	—
540	#546	—	2	2	no	—
541	#544	—	2	1	no	—
542	#544	—	2	1	no	—
543	#544	C₂²×C₁₃	1	1	yes	characteristic
544	#544	C₂²×C₁₃	1	1	yes	characteristic
545	#544	C₂²×C₁₃	1	1	yes	characteristic
546	#544	C₂²×C₁₃	1	1	yes	characteristic
547	#544	C₂²×C₁₃	1	1	yes	characteristic
548	#544	C₂²×C₁₃	1	2	yes	complemented
549	#544	C₂²×C₁₃	1	2	yes	complemented
550	#543	—	2	2	no	—
551	#542	C₂²×C₁₃	1	2	yes	—
552	#540	C₂²×C₁₃	1	2	yes	—
553	#535	C₂²×C₁₃	1	1	yes	characteristic
554	#533	—	2	2	no	—
555	#533	—	2	1	no	—
556	#533	—	2	1	no	—
557	#533	C₂²×C₁₃	1	2	yes	complemented
558	#533	C₂²×C₁₃	1	2	yes	complemented
559	#532	C₂²×C₁₃	1	2	yes	—
560	#529	C₂²×C₁₃	1	2	yes	—
561	#525	C₂²×C₁₃	1	1	yes	characteristic
562	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
563	#520	C₂²×C₁₃	1	1	yes	characteristic
564	#518	C₂²×C₁₃	1	1	yes	characteristic
565	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
566	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
567	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
568	#501	C₂²×C₁₃	1	2	yes	complemented
569	#501	C₂²×C₁₃	1	2	yes	complemented
570	#501	C₂²×C₁₃	1	2	yes	complemented
571	#501	C₂²×C₁₃	1	2	yes	complemented
572	#500	C₂²×C₁₃	1	2	yes	complemented
573	#499	C₂²×C₁₃	1	2	yes	complemented
574	#499	C₂²×C₁₃	1	2	yes	complemented
575	#498	C₂²×C₁₃	1	2	yes	complemented
576	#490	C₂²×C₁₃	1	2	yes	complemented
577	#490	C₂²×C₁₃	1	2	yes	complemented
578	#489	C₂²×C₁₃	1	2	yes	complemented
579	#489	C₂²×C₁₃	1	2	yes	complemented
580	#488	C₂²×C₁₃	1	2	yes	complemented
581	#488	C₂²×C₁₃	1	2	yes	complemented
582	#486	C₂²×C₁₃	1	2	yes	complemented
583	#486	C₂²×C₁₃	1	2	yes	complemented
584	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
585	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
586	#485	C₂²×C₁₃	1	2	yes	complemented
587	#485	C₂²×C₁₃	1	2	yes	complemented
588	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
589	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
590	#482	C₂²×C₁₃	1	2	yes	—
591	#482	C₂²×C₁₃	1	2	yes	—
592	#482	C₂²×C₁₃	1	2	yes	—
593	#482	C₂²×C₁₃	1	2	yes	—
594	#482	C₂²×C₁₃	1	2	yes	—
595	#482	C₂²×C₁₃	1	2	yes	—
596	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
598	#482	C₂²×C₁₃	1	2	yes	complemented
599	#482	C₂²×C₁₃	1	2	yes	complemented
600	#481	C₂²×C₁₃	1	2	yes	—
601	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#480	C₂²×C₁₃	1	2	yes	—
603	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#479	C₂²×C₁₃	1	2	yes	complemented
605	#479	C₂²×C₁₃	1	2	yes	complemented
606	#478	C₂²×C₁₃	1	2	yes	complemented
607	#478	C₂²×C₁₃	1	2	yes	complemented
608	#478	C₂²×C₁₃	1	2	yes	complemented
609	#478	C₂²×C₁₃	1	2	yes	complemented
610	#478	C₂²×C₁₃	1	2	yes	complemented
611	#478	C₂²×C₁₃	1	2	yes	complemented
612	#477	C₂²×C₁₃	1	2	yes	complemented
613	#476	C₂²×C₁₃	1	2	yes	complemented
614	#476	C₂²×C₁₃	1	2	yes	complemented
615	#476	C₂²×C₁₃	1	2	yes	complemented
616	#475	C₂²×C₁₃	1	2	yes	complemented
617	#474	C₂²×C₁₃	1	2	yes	complemented
618	#474	C₂²×C₁₃	1	2	yes	complemented
619	#474	C₂²×C₁₃	1	2	yes	complemented
620	#433	C₂²×C₁₃	1	2	yes	complemented
621	#433	C₂²×C₁₃	1	2	yes	complemented
622	#432	C₂²×C₁₃	1	2	yes	complemented
623	#431	C₂²×C₁₃	1	2	yes	complemented
624	#428	C₂²×C₁₃	1	1	yes	characteristic
625	#428	C₂²×C₁₃	1	1	yes	characteristic
626	#428	C₂²×C₁₃	1	1	yes	characteristic
627	#428	C₂²×C₁₃	1	1	yes	characteristic
628	#427	C₂²×C₁₃	1	1	yes	characteristic
629	#427	C₂²×C₁₃	1	1	yes	characteristic
630	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
631	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
632	#424	C₂²×C₁₃	1	1	yes	characteristic
633	#424	C₂²×C₁₃	1	1	yes	characteristic
634	#418	C₂²×C₁₃	1	1	yes	characteristic
635	#418	C₂²×C₁₃	1	1	yes	characteristic
636	#417	C₂²×C₁₃	1	1	yes	characteristic
637	#417	C₂²×C₁₃	1	1	yes	characteristic
638	#416	C₂²×C₁₃	1	1	yes	characteristic
639	#416	C₂²×C₁₃	1	1	yes	characteristic
640	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
641	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
642	#407	C₂²×C₁₃	1	1	yes	characteristic
643	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
644	#405	C₂²×C₁₃	1	1	yes	characteristic
645	#405	C₂²×C₁₃	1	1	yes	characteristic
646	C₂²×C₁₃	—	2	1	no	—
647	C₂²×C₁₃	—	2	1	no	—
648	C₂²×C₁₃	—	2	1	no	—
649	C₂²×C₁₃	—	2	1	no	—
650	C₂²×C₁₃	—	2	1	no	—
651	C₂²×C₁₃	—	2	1	no	—
652	C₂²×C₁₃	—	2	1	no	—
653	C₂²×C₁₃	—	2	1	no	—
654	C₂²×C₁₃	—	4	2	no	—
655	C₂²×C₁₃	—	4	1	no	—
656	C₂²×C₁₃	—	4	1	no	—
657	C₂²×C₁₃	—	4	2	no	—
658	C₂²×C₁₃	—	4	1	no	—
659	C₂²×C₁₃	—	4	2	no	—
660	C₂²×C₁₃	—	8	2	no	—
661	C₂²×C₁₃	—	16	2	no	—
662	C₂²×C₁₃	#536	1	2	yes	—
663	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
664	C₄×C₁₃	—	2	2	no	—
665	C₄×C₁₃	—	2	2	no	—
666	C₄×C₁₃	—	2	2	no	—
667	C₄×C₁₃	—	2	2	no	—
668	C₄×C₁₃	—	2	1	no	—
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	—	4	1	no	—
671	C₄×C₁₃	—	4	2	no	—
672	C₄×C₁₃	—	4	1	no	—
673	C₄×C₁₃	—	4	1	no	—
674	C₄×C₁₃	—	4	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	#536	1	2	yes	—
681	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
682	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
683	C₂×#41	—	2	2	no	—
684	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
685	C₂²×D₄	—	2	1	no	—
686	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
687	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
688	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
689	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
690	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
691	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
692	C₄⋊Q₈	—	2	1	no	—
693	C₄⋊Q₈	—	2	1	no	—
694	C₄⋊Q₈	—	2	1	no	—
695	C₄⋊Q₈	—	2	1	no	—
696	C₄⋊Q₈	—	2	2	no	—
697	C₄⋊Q₈	—	2	2	no	—
698	C₄⋊Q₈	—	2	1	no	—
699	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
700	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
701	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
702	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
703	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
704	#127	C₂³×C₁₃	1	2	yes	—
705	#126	—	2	2	no	—
706	#126	—	2	2	no	—
707	#125	—	2	1	no	—
708	#125	—	2	1	no	—
709	#125	—	2	1	no	—
710	#125	—	2	1	no	—
711	#125	—	2	2	no	—
712	#125	—	2	2	no	—
713	#125	—	2	1	no	—
714	#125	C₂³×C₁₃	1	2	yes	—
715	#125	C₂³×C₁₃	1	2	yes	—
716	#125	C₂³×C₁₃	1	2	yes	—
717	#125	C₂³×C₁₃	1	2	yes	—
718	#125	C₂³×C₁₃	1	2	yes	—
719	#124	—	2	2	no	—
720	#124	—	2	2	no	—
721	#124	C₂³×C₁₃	1	2	yes	—
722	#123	—	2	1	no	—
723	#123	—	2	2	no	—
724	#123	—	2	2	no	—
725	#123	—	2	2	no	—
726	#123	—	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	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
742	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
743	#121	—	2	1	no	—
744	#121	—	2	1	no	—
745	#121	—	2	2	no	—
746	#121	—	2	1	no	—
747	#121	—	2	1	no	—
748	#121	—	2	2	no	—
749	#121	—	2	2	no	—
750	#121	C₂³×C₁₃	1	2	yes	—
751	#121	C₂³×C₁₃	1	2	yes	—
752	#121	C₂³×C₁₃	1	1	yes	characteristic
753	#121	C₂³×C₁₃	1	1	yes	characteristic
754	#120	—	2	1	no	—
755	#120	—	2	2	no	—
756	C₄×Q₈	—	2	2	no	—
757	C₄×Q₈	—	2	2	no	—
758	C₄×Q₈	—	2	2	no	—
759	C₄×Q₈	—	2	2	no	—
760	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	2	no	—
764	C₄×D₄	—	2	1	no	—
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	—	2	2	no	—
768	C₄×D₄	C₂³×C₁₃	1	2	yes	—
769	C₄×D₄	C₂³×C₁₃	1	2	yes	—
770	C₄×D₄	C₂³×C₁₃	1	2	yes	—
771	#117	—	2	1	no	—
772	#117	—	2	1	no	—
773	#117	—	2	1	no	—
774	#117	—	2	1	no	—
775	#117	—	2	1	no	—
776	#117	—	2	2	no	—
777	#117	D₄×C₁₃	1	2	yes	—
778	#117	D₄×C₁₃	1	1	yes	characteristic
779	#117	D₄×C₁₃	1	1	yes	characteristic
780	#117	C₂³×C₁₃	1	2	yes	—
781	#117	C₂³×C₁₃	1	1	yes	characteristic
782	#117	C₂³×C₁₃	1	1	yes	characteristic
783	#117	C₂³×C₁₃	1	1	yes	characteristic
784	#117	C₂³×C₁₃	1	1	yes	characteristic
785	#117	C₂³×C₁₃	1	2	yes	—
786	#117	C₂³×C₁₃	1	1	yes	characteristic
787	#117	C₂³×C₁₃	1	1	yes	characteristic
788	#117	C₂³×C₁₃	1	1	yes	characteristic
789	#117	C₂³×C₁₃	1	2	yes	—
790	C₂×C₄⋊C₄	—	2	1	no	—
791	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
792	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
793	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
795	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	—	2	1	no	—
799	C₂×C₂²⋊C₄	—	2	1	no	—
800	C₂×C₂²⋊C₄	—	2	1	no	—
801	C₂×C₂²⋊C₄	—	2	2	no	—
802	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
803	C₂×C₄²	—	2	1	no	—
804	C₂×C₄²	—	2	1	no	—
805	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
806	#107	C₂³×C₁₃	1	2	yes	—
807	#107	C₂³×C₁₃	1	2	yes	—
808	#107	C₂³×C₁₃	1	1	yes	characteristic
809	#107	C₂³×C₁₃	1	1	yes	characteristic
810	#107	C₂³×C₁₃	1	1	yes	characteristic
811	#107	C₂³×C₁₃	1	1	yes	characteristic
812	#107	C₂³×C₁₃	1	2	yes	—
813	#107	C₂³×C₁₃	1	2	yes	—
814	#107	C₂³×C₁₃	1	2	yes	—
815	#107	C₂³×C₁₃	1	2	yes	—
816	#106	C₂³×C₁₃	1	2	yes	—
817	#106	C₂³×C₁₃	1	2	yes	—
818	#106	C₂³×C₁₃	1	1	yes	characteristic
819	#106	C₂³×C₁₃	1	1	yes	characteristic
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	#106	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	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
830	#103	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
835	#103	C₂³×C₁₃	1	2	yes	—
836	#102	C₂³×C₁₃	1	2	yes	—
837	#102	C₂³×C₁₃	1	2	yes	—
838	#102	C₂³×C₁₃	1	2	yes	—
839	#102	C₂³×C₁₃	1	2	yes	—
840	#102	C₂³×C₁₃	1	1	yes	characteristic
841	#102	C₂³×C₁₃	1	1	yes	characteristic
842	#102	C₂³×C₁₃	1	1	yes	characteristic
843	#102	C₂³×C₁₃	1	1	yes	characteristic
844	#102	C₂³×C₁₃	1	2	yes	—
845	#102	C₂³×C₁₃	1	2	yes	—
846	#102	C₂³×C₁₃	1	2	yes	—
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	2	yes	—
849	#102	C₂³×C₁₃	1	2	yes	—
850	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
855	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
860	C₂×C₁₃	—	2	2	no	—
861	C₂×C₁₃	—	4	1	no	—
862	C₂×C₁₃	—	4	1	no	—
863	C₂×C₁₃	—	8	1	no	—
864	C₂×C₁₃	—	8	2	no	—
865	C₂×C₁₃	C₂×#536	1	1	yes	characteristic
866	C₂×C₁₃	#3584	1	1	yes	characteristic
867	C₂×C₁₃	#3585	1	1	yes	characteristic
868	C₂⁴	—	2	1	no	—
869	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
870	#41	—	2	2	no	—
871	#41	—	2	2	no	—
872	#41	—	8	4	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	—	2	2	no	—
878	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
879	C₂×D₄	—	2	1	no	—
880	C₂×D₄	—	2	1	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	1	no	—
883	C₂×D₄	—	2	2	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	—	8	2	no	—
890	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
891	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
904	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
905	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
906	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
907	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
908	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
911	M₁₆	—	2	2	no	—
912	M₁₆	—	2	2	no	—
913	C₂×C₈	—	2	2	no	—
914	C₂×C₈	—	2	2	no	—
915	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
917	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
918	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
919	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
921	C₄⋊C₄	—	2	1	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	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	2	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	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	2	yes	—
949	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
950	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
951	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	2	yes	—
957	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂²⋊C₄	—	2	1	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	1	no	—
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	1	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	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
981	C₄²	—	2	2	no	—
982	C₄²	—	2	1	no	—
983	C₄²	—	2	1	no	—
984	C₄²	—	2	2	no	—
985	C₄²	—	2	1	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	2	no	—
988	C₄²	—	2	1	no	—
989	C₄²	C₂×D₄×C₁₃	1	2	yes	—
990	C₄²	C₂×D₄×C₁₃	1	2	yes	—
991	C₄²	C₂⁴×C₁₃	1	2	yes	—
992	C₄²	C₂⁴×C₁₃	1	2	yes	—
993	C₁₃	#60875	1	1	yes	characteristic, direct product factor, Sylow
994	C₂³	—	2	2	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	2	1	no	—
997	C₂³	—	4	1	no	—
998	C₂³	—	4	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	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1004	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1005	Q₈	—	2	1	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	8	2	no	—
1008	Q₈	—	8	2	no	—
1009	Q₈	—	8	2	no	—
1010	Q₈	—	8	2	no	—
1011	Q₈	—	8	2	no	—
1012	D₄	—	2	2	no	—
1013	D₄	—	2	2	no	—
1014	D₄	—	2	1	no	—
1015	D₄	—	2	1	no	—
1016	D₄	—	4	4	no	—
1017	D₄	—	4	2	no	—
1018	D₄	—	4	2	no	—
1019	D₄	—	4	2	no	—
1020	D₄	—	8	2	no	—
1021	D₄	—	8	2	no	—
1022	D₄	—	8	2	no	—
1023	D₄	—	8	1	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	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	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	2	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	4	2	no	—
1042	C₂×C₄	—	4	2	no	—
1043	C₂×C₄	—	4	2	no	—
1044	C₂×C₄	—	8	2	no	—
1045	C₂×C₄	—	8	2	no	—
1046	C₂×C₄	—	8	2	no	—
1047	C₂×C₄	—	8	1	no	—
1048	C₂×C₄	—	8	1	no	—
1049	C₂×C₄	—	8	1	no	—
1050	C₂×C₄	—	8	1	no	—
1051	C₂×C₄	—	8	1	no	—
1052	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1054	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1055	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1056	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1057	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1058	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1059	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1060	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1061	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1062	C₈	—	2	1	no	—
1063	C₈	—	2	1	no	—
1064	C₈	—	2	1	no	—
1065	C₈	—	2	1	no	—
1066	C₈	—	2	2	no	—
1067	C₈	—	2	2	no	—
1068	C₂²	—	2	1	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	1	no	—
1073	C₂²	—	2	1	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	1	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	8	2	no	—
1083	C₂²	—	16	2	no	—
1084	C₂²	C₁₃×#536	1	2	yes	—
1085	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1086	C₄	—	2	2	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	C₁₃×#536	1	2	yes	—
1103	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1104	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1105	C₂	—	2	2	no	—
1106	C₂	—	4	1	no	—
1107	C₂	—	4	1	no	—
1108	C₂	—	8	2	no	—
1109	C₂	—	8	1	no	—
1110	C₂	C₂×C₁₃×#536	1	1	yes	characteristic
1111	C₂	C₁₃×#3584	1	1	yes	characteristic
1112	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3494	C₂
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×#3241	C₂	semidirect
6. C₁₃×#3241	C₂	semidirect
7. C₁₃×#3240	C₂	semidirect
8. C₁₃×#3235	C₂	semidirect
9. C₁₃×#3233	C₂	semidirect
10. C₁₃×#3228	C₂	semidirect
11. C₁₃×#3164	C₂	semidirect
12. C₁₃×#3163	C₂	semidirect
13. C₁₃×#3136	C₂	semidirect
14. C₁₃×#3136	C₂	semidirect
15. C₁₃×#3094	C₂	semidirect
16. C₁₃×#3093	C₂	semidirect
17. C₁₃×#3091	C₂	semidirect
18. C₂×C₁₃×#482	C₂	semidirect
19. C₁₃×#3084	C₂	semidirect
20. C₁₃×#3083	C₂	semidirect
21. C₁₃×#3081	C₂	semidirect
22. C₁₃×#3081	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
37. C₁₃×#544	C₂²	semidirect
38. C₁₃×#544	C₂²	semidirect
46. C₁₃×#533	C₂²	semidirect
47. C₁₃×#533	C₂²	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×#490	C₂²	semidirect
66. C₁₃×#490	C₂²	semidirect
67. C₁₃×#489	C₂²	semidirect
68. C₁₃×#489	C₂²	semidirect
69. C₁₃×#488	C₂²	semidirect
70. C₁₃×#488	C₂²	semidirect
71. C₁₃×#486	C₂²	semidirect
72. C₁₃×#486	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
74. C₁₃×#485	C₂²	semidirect
75. C₁₃×#485	C₂²	semidirect
76. C₁₃×#485	C₂²	semidirect
77. C₁₃×#484	C₂²	semidirect
78. C₁₃×#483	C₂²	semidirect
85. C₁₃×#482	C₂²	semidirect
86. C₁₃×#482	C₂²	semidirect
87. C₁₃×#482	C₂²	semidirect
88. C₁₃×#482	C₂²	semidirect
90. C₁₃×#481	C₂²	semidirect
92. C₁₃×#480	C₂²	semidirect
93. C₁₃×#479	C₂²	semidirect
94. C₁₃×#479	C₂²	semidirect
95. C₁₃×#478	C₂²	semidirect
96. C₁₃×#478	C₂²	semidirect
97. C₁₃×#478	C₂²	semidirect
98. C₁₃×#478	C₂²	semidirect
99. C₁₃×#478	C₂²	semidirect
100. C₁₃×#478	C₂²	semidirect
101. C₁₃×#477	C₂²	semidirect
102. C₁₃×#476	C₂²	semidirect
103. C₁₃×#476	C₂²	semidirect
104. C₁₃×#476	C₂²	semidirect
105. C₁₃×#475	C₂²	semidirect
106. C₁₃×#474	C₂²	semidirect
107. C₁₃×#474	C₂²	semidirect
108. C₁₃×#474	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
110. C₁₃×#433	C₂²	semidirect
111. C₁₃×#432	C₂²	semidirect
112. C₁₃×#431	C₂²	semidirect
312. #60875	C₁₃	direct (N × H)
439. #3458	C₂×C₁₃	semidirect
440. #3244	C₂×C₁₃	semidirect
441. #3243	C₂×C₁₃	semidirect
442. #3241	C₂×C₁₃	semidirect
443. #3241	C₂×C₁₃	semidirect
444. #3240	C₂×C₁₃	semidirect
445. #3235	C₂×C₁₃	semidirect
446. #3233	C₂×C₁₃	semidirect
447. #3228	C₂×C₁₃	semidirect
448. #3164	C₂×C₁₃	semidirect
449. #3163	C₂×C₁₃	semidirect
450. #3136	C₂×C₁₃	semidirect
451. #3136	C₂×C₁₃	semidirect
452. #3094	C₂×C₁₃	semidirect
453. #3093	C₂×C₁₃	semidirect
454. #3091	C₂×C₁₃	semidirect
455. C₂×#482	C₂×C₁₃	semidirect
456. #3084	C₂×C₁₃	semidirect
457. #3083	C₂×C₁₃	semidirect
458. #3081	C₂×C₁₃	semidirect
459. #3081	C₂×C₁₃	semidirect
460. #2924	C₂×C₁₃	semidirect
548. #544	C₂²×C₁₃	semidirect
549. #544	C₂²×C₁₃	semidirect
557. #533	C₂²×C₁₃	semidirect
558. #533	C₂²×C₁₃	semidirect
568. #501	C₂²×C₁₃	semidirect
569. #501	C₂²×C₁₃	semidirect
570. #501	C₂²×C₁₃	semidirect
571. #501	C₂²×C₁₃	semidirect
572. #500	C₂²×C₁₃	semidirect
573. #499	C₂²×C₁₃	semidirect
574. #499	C₂²×C₁₃	semidirect
575. #498	C₂²×C₁₃	semidirect
576. #490	C₂²×C₁₃	semidirect
577. #490	C₂²×C₁₃	semidirect
578. #489	C₂²×C₁₃	semidirect
579. #489	C₂²×C₁₃	semidirect
580. #488	C₂²×C₁₃	semidirect
581. #488	C₂²×C₁₃	semidirect
582. #486	C₂²×C₁₃	semidirect
583. #486	C₂²×C₁₃	semidirect
584. #485	C₂²×C₁₃	semidirect
585. #485	C₂²×C₁₃	semidirect
586. #485	C₂²×C₁₃	semidirect
587. #485	C₂²×C₁₃	semidirect
588. #484	C₂²×C₁₃	semidirect
589. #483	C₂²×C₁₃	semidirect
596. #482	C₂²×C₁₃	semidirect
597. #482	C₂²×C₁₃	semidirect
598. #482	C₂²×C₁₃	semidirect
599. #482	C₂²×C₁₃	semidirect
601. #481	C₂²×C₁₃	semidirect
603. #480	C₂²×C₁₃	semidirect
604. #479	C₂²×C₁₃	semidirect
605. #479	C₂²×C₁₃	semidirect
606. #478	C₂²×C₁₃	semidirect
607. #478	C₂²×C₁₃	semidirect
608. #478	C₂²×C₁₃	semidirect
609. #478	C₂²×C₁₃	semidirect
610. #478	C₂²×C₁₃	semidirect
611. #478	C₂²×C₁₃	semidirect
612. #477	C₂²×C₁₃	semidirect
613. #476	C₂²×C₁₃	semidirect
614. #476	C₂²×C₁₃	semidirect
615. #476	C₂²×C₁₃	semidirect
616. #475	C₂²×C₁₃	semidirect
617. #474	C₂²×C₁₃	semidirect
618. #474	C₂²×C₁₃	semidirect
619. #474	C₂²×C₁₃	semidirect
620. #433	C₂²×C₁₃	semidirect
621. #433	C₂²×C₁₃	semidirect
622. #432	C₂²×C₁₃	semidirect
623. #431	C₂²×C₁₃	semidirect
993. C₁₃	#60875	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×#3494	2
C₁₃×#3458	2
C₁₃×#3244	2
C₁₃×#3243	2
C₁₃×#3241	2
C₁₃×#3240	2
C₁₃×#3235	2
C₁₃×#3233	2
C₁₃×#3228	2
C₁₃×#3164	2
C₁₃×#3163	2
C₁₃×#3136	2
C₁₃×#3094	2
C₁₃×#3093	2
C₁₃×#3091	2
C₂×C₁₃×#482	2
C₁₃×#3084	2
C₁₃×#3083	2
C₁₃×#3081	2
C₁₃×#2924	2
#60875	13

Subgroups — C13×#60875 #15747214

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60875 #15747214