Subgroups — C₁₃×#62044 #15748383

Order 3328.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3392	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3323	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3278	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3254	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3222	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3043	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
27	C₁₃×#560	—	2	2	no	—
28	C₁₃×#557	—	2	1	no	—
29	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#556	—	2	1	no	—
32	C₁₃×#556	C₂²	1	1	yes	characteristic
33	C₁₃×#556	C₂²	1	1	yes	characteristic
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#552	—	2	2	no	—
36	C₁₃×#552	C₂²	1	2	yes	complemented
37	C₁₃×#550	C₂²	1	2	yes	—
38	C₁₃×#550	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
41	C₁₃×#547	C₂²	1	1	yes	characteristic
42	C₁₃×#546	—	2	1	no	—
43	C₁₃×#546	C₂²	1	2	yes	—
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#541	—	2	2	no	—
47	C₁₃×#541	C₂²	1	2	yes	complemented
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#535	—	2	1	no	—
51	C₁₃×#535	C₂²	1	2	yes	—
52	C₁₃×#533	—	2	1	no	—
53	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#519	C₂²	1	2	yes	complemented
59	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#497	C₂²	1	2	yes	—
61	C₁₃×#494	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#492	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	2	yes	complemented
64	C₁₃×#490	C₂²	1	2	yes	complemented
65	C₁₃×#488	C₂²	1	2	yes	—
66	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#486	C₂²	1	1	yes	characteristic
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#482	C₂²	1	2	yes	—
70	C₁₃×#481	C₂²	1	1	yes	characteristic
71	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#479	C₂²	1	2	yes	complemented
73	C₁₃×#478	C₂²	1	2	yes	complemented
74	C₁₃×#477	C₂²	1	2	yes	complemented
75	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#474	C₂²	1	1	yes	characteristic
78	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#470	C₂²	1	2	yes	complemented
80	C₁₃×#468	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	complemented
83	C₁₃×#467	C₂²	1	2	yes	complemented
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	complemented
88	C₁₃×#464	C₂²	1	2	yes	complemented
89	C₁₃×#464	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#462	C₂²	1	2	yes	complemented
93	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#461	C₂²	1	1	yes	characteristic
95	C₁₃×#461	C₂²	1	2	yes	complemented
96	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#460	C₂²	1	1	yes	characteristic
98	C₁₃×#460	C₂²	1	1	yes	characteristic
99	C₁₃×#460	C₂²	1	1	yes	characteristic
100	C₁₃×#460	C₂²	1	2	yes	—
101	C₁₃×#460	C₂²	1	1	yes	characteristic
102	C₁₃×#460	C₂²	1	2	yes	complemented
103	C₁₃×#460	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#452	C₂²	1	2	yes	complemented
108	C₁₃×#451	C₂²	1	2	yes	complemented
109	C₁₃×#450	C₂²	1	2	yes	—
110	C₁₃×#450	C₂²	1	2	yes	—
111	C₁₃×#448	C₂²	1	1	yes	characteristic
112	C₁₃×#448	C₂²	1	2	yes	—
113	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#441	C₂²	1	2	yes	complemented
117	C₁₃×#440	C₂²	1	2	yes	complemented
118	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
124	C₁₃×#436	C₂²	1	1	yes	characteristic
125	C₁₃×#436	C₂²	1	2	yes	complemented
126	C₁₃×#435	C₂²	1	2	yes	complemented
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
128	C₁₃×#433	C₂²	1	2	yes	complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#424	C₂²	1	2	yes	complemented
131	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#418	C₂²	1	2	yes	—
133	C₁₃×#417	C₂²	1	2	yes	complemented
134	C₁₃×#416	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃	—	2	1	no	—
142	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
143	C₁₃×#137	—	4	4	no	—
144	C₁₃×#137	—	4	4	no	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	—	4	4	no	—
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
162	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
163	C₁₃×C₄⋊Q₈	—	2	1	no	—
164	C₁₃×C₄⋊Q₈	—	2	1	no	—
165	C₁₃×C₄⋊Q₈	—	2	2	no	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×#127	—	2	2	no	—
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#127	C₂³	1	1	yes	characteristic
174	C₁₃×#127	C₂³	1	2	yes	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	—	2	2	no	—
179	C₁₃×#126	—	2	2	no	—
180	C₁₃×#126	—	2	2	no	—
181	C₁₃×#126	D₄	1	2	yes	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	2	no	—
184	C₁₃×#125	—	2	2	no	—
185	C₁₃×#125	—	2	2	no	—
186	C₁₃×#125	—	2	2	no	—
187	C₁₃×#125	—	2	2	no	—
188	C₁₃×#125	—	2	1	no	—
189	C₁₃×#125	D₄	1	1	yes	characteristic
190	C₁₃×#125	C₂³	1	2	yes	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	2	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	D₄	1	1	yes	characteristic
195	C₁₃×#124	C₂³	1	2	yes	—
196	C₁₃×#124	C₂³	1	2	yes	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	D₄	1	2	yes	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
209	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	D₄	1	1	yes	characteristic
226	C₁₃×#121	C₂³	1	2	yes	—
227	C₁₃×#121	C₂³	1	1	yes	characteristic
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#120	—	2	2	no	—
230	C₁₃×#120	—	2	2	no	—
231	C₁₃×#120	—	2	2	no	—
232	C₁₃×#120	—	2	2	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	2	no	—
235	C₄×Q₈×C₁₃	—	2	2	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	no	—
240	C₄×Q₈×C₁₃	—	2	1	no	—
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
245	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	2	no	—
252	C₄×D₄×C₁₃	—	2	2	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	2	yes	—
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₃	C₂³	1	2	yes	—
261	C₁₃×#117	—	2	1	no	—
262	C₁₃×#117	—	2	1	no	—
263	C₁₃×#117	—	2	2	no	—
264	C₁₃×#117	—	2	2	no	—
265	C₁₃×#117	—	2	2	no	—
266	C₁₃×#117	C₂³	1	2	yes	—
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₄²×C₁₃	—	2	1	no	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	1	yes	characteristic
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#62044	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	2	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	8	2	no	—
322	C₁₃×#41	—	8	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	2	4	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	4	2	no	—
330	C₂×Q₈×C₁₃	—	4	1	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₃	—	2	1	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	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	4	2	no	—
349	C₂×D₄×C₁₃	—	4	2	no	—
350	C₂×D₄×C₁₃	—	8	2	no	—
351	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
353	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	2	no	—
364	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
368	C₁₃×Q₁₆	—	2	4	no	—
369	C₁₃×Q₁₆	—	4	2	no	—
370	C₁₃×Q₁₆	—	4	2	no	—
371	C₁₃×Q₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	2	2	no	—
373	C₁₃×SD₁₆	—	2	4	no	—
374	C₁₃×SD₁₆	—	2	2	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×SD₁₆	—	4	2	no	—
377	C₁₃×SD₁₆	—	4	2	no	—
378	C₁₃×SD₁₆	—	4	1	no	—
379	C₁₃×SD₁₆	—	4	1	no	—
380	C₁₃×SD₁₆	—	4	2	no	—
381	C₁₃×SD₁₆	—	4	2	no	—
382	C₁₃×M₁₆	—	4	2	no	—
383	C₁₃×M₁₆	—	4	2	no	—
384	C₂×C₈×C₁₃	—	4	2	no	—
385	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
389	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
418	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
419	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	1	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	1	no	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	—	2	1	no	—
447	C₄²×C₁₃	—	2	1	no	—
448	C₄²×C₁₃	—	2	1	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	2	no	—
451	C₄²×C₁₃	—	2	2	no	—
452	C₄²×C₁₃	—	2	2	no	—
453	C₄²×C₁₃	—	2	2	no	—
454	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₄²×C₁₃	C₂⁴	1	2	yes	—
458	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
459	#3546	C₂×C₁₃	1	1	yes	characteristic
460	#3523	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3392	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3324	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3323	C₂×C₁₃	1	2	yes	complemented
467	#3317	C₂×C₁₃	1	2	yes	complemented
468	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
469	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3278	C₂×C₁₃	1	2	yes	complemented
471	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3266	C₂×C₁₃	1	2	yes	complemented
473	#3258	C₂×C₁₃	1	2	yes	complemented
474	#3254	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3222	C₂×C₁₃	1	2	yes	complemented
476	#3210	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3121	C₂×C₁₃	1	2	yes	complemented
478	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3043	C₂×C₁₃	1	2	yes	complemented
480	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#2993	C₂×C₁₃	1	1	yes	characteristic, complemented
482	C₂³×C₁₃	—	2	1	no	—
483	C₂³×C₁₃	—	2	2	no	—
484	C₂³×C₁₃	—	2	1	no	—
485	C₂³×C₁₃	—	8	2	no	—
486	C₂³×C₁₃	—	8	2	no	—
487	C₂³×C₁₃	—	8	2	no	—
488	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
489	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	2	2	no	—
493	Q₈×C₁₃	—	2	1	no	—
494	Q₈×C₁₃	—	2	2	no	—
495	Q₈×C₁₃	—	2	1	no	—
496	Q₈×C₁₃	—	2	2	no	—
497	Q₈×C₁₃	—	2	2	no	—
498	Q₈×C₁₃	—	4	2	no	—
499	Q₈×C₁₃	—	4	4	no	—
500	Q₈×C₁₃	—	4	2	no	—
501	Q₈×C₁₃	—	8	1	no	—
502	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
503	D₄×C₁₃	—	2	2	no	—
504	D₄×C₁₃	—	2	1	no	—
505	D₄×C₁₃	—	2	2	no	—
506	D₄×C₁₃	—	2	1	no	—
507	D₄×C₁₃	—	2	1	no	—
508	D₄×C₁₃	—	2	2	no	—
509	D₄×C₁₃	—	2	1	no	—
510	D₄×C₁₃	—	4	2	no	—
511	D₄×C₁₃	—	4	2	no	—
512	D₄×C₁₃	—	8	1	no	—
513	D₄×C₁₃	—	8	1	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	1	no	—
517	D₄×C₁₃	—	8	2	no	—
518	D₄×C₁₃	—	8	2	no	—
519	D₄×C₁₃	—	8	2	no	—
520	D₄×C₁₃	—	8	2	no	—
521	D₄×C₁₃	—	8	1	no	—
522	D₄×C₁₃	—	8	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	2	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	2	no	—
535	C₂×C₄×C₁₃	—	2	2	no	—
536	C₂×C₄×C₁₃	—	2	1	no	—
537	C₂×C₄×C₁₃	—	4	1	no	—
538	C₂×C₄×C₁₃	—	4	2	no	—
539	C₂×C₄×C₁₃	—	4	4	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	4	2	no	—
542	C₂×C₄×C₁₃	—	4	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	—	8	2	no	—
545	C₂×C₄×C₁₃	—	8	2	no	—
546	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	—	2	2	no	—
557	C₈×C₁₃	—	2	1	no	—
558	C₈×C₁₃	—	2	2	no	—
559	C₈×C₁₃	—	2	1	no	—
560	C₈×C₁₃	—	2	1	no	—
561	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
562	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
563	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
564	#560	—	2	2	no	—
565	#557	—	2	1	no	—
566	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	#556	—	2	1	no	—
569	#556	C₂²×C₁₃	1	1	yes	characteristic
570	#556	C₂²×C₁₃	1	1	yes	characteristic
571	#553	—	2	1	no	—
572	#552	—	2	2	no	—
573	#552	C₂²×C₁₃	1	2	yes	complemented
574	#550	C₂²×C₁₃	1	2	yes	—
575	#550	C₂²×C₁₃	1	1	yes	characteristic
576	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
577	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
578	#547	C₂²×C₁₃	1	1	yes	characteristic
579	#546	—	2	1	no	—
580	#546	C₂²×C₁₃	1	2	yes	—
581	D₄²	C₂²×C₁₃	1	1	yes	characteristic
582	#542	C₂²×C₁₃	1	2	yes	—
583	#541	—	2	2	no	—
584	#541	C₂²×C₁₃	1	2	yes	complemented
585	#538	—	2	2	no	—
586	#537	—	2	1	no	—
587	#535	—	2	1	no	—
588	#535	C₂²×C₁₃	1	2	yes	—
589	#533	—	2	1	no	—
590	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#532	C₂²×C₁₃	1	1	yes	characteristic
592	#532	C₂²×C₁₃	1	1	yes	characteristic
593	#529	—	2	1	no	—
594	#529	C₂²×C₁₃	1	1	yes	characteristic
595	#519	C₂²×C₁₃	1	2	yes	complemented
596	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#497	C₂²×C₁₃	1	2	yes	—
598	#494	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	#492	C₂²×C₁₃	1	1	yes	characteristic
600	#492	C₂²×C₁₃	1	2	yes	complemented
601	#490	C₂²×C₁₃	1	2	yes	complemented
602	#488	C₂²×C₁₃	1	2	yes	—
603	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#486	C₂²×C₁₃	1	1	yes	characteristic
605	#485	C₂²×C₁₃	1	2	yes	complemented
606	#482	C₂²×C₁₃	1	2	yes	—
607	#481	C₂²×C₁₃	1	1	yes	characteristic
608	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#479	C₂²×C₁₃	1	2	yes	complemented
610	#478	C₂²×C₁₃	1	2	yes	complemented
611	#477	C₂²×C₁₃	1	2	yes	complemented
612	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#474	C₂²×C₁₃	1	1	yes	characteristic
615	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#470	C₂²×C₁₃	1	2	yes	complemented
617	#468	C₂²×C₁₃	1	2	yes	—
618	#468	C₂²×C₁₃	1	2	yes	—
619	#468	C₂²×C₁₃	1	2	yes	complemented
620	#467	C₂²×C₁₃	1	2	yes	complemented
621	#465	C₂²×C₁₃	1	2	yes	—
622	#464	C₂²×C₁₃	1	2	yes	—
623	#464	C₂²×C₁₃	1	2	yes	—
624	#464	C₂²×C₁₃	1	2	yes	complemented
625	#464	C₂²×C₁₃	1	2	yes	complemented
626	#464	C₂²×C₁₃	1	2	yes	complemented
627	#464	C₂²×C₁₃	1	2	yes	complemented
628	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#462	C₂²×C₁₃	1	2	yes	complemented
630	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#461	C₂²×C₁₃	1	1	yes	characteristic
632	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#461	C₂²×C₁₃	1	2	yes	complemented
634	#460	C₂²×C₁₃	1	1	yes	characteristic
635	#460	C₂²×C₁₃	1	1	yes	characteristic
636	#460	C₂²×C₁₃	1	1	yes	characteristic
637	#460	C₂²×C₁₃	1	1	yes	characteristic
638	#460	C₂²×C₁₃	1	2	yes	—
639	#460	C₂²×C₁₃	1	2	yes	complemented
640	#460	C₂²×C₁₃	1	2	yes	complemented
641	#452	C₂²×C₁₃	1	2	yes	complemented
642	#452	C₂²×C₁₃	1	2	yes	complemented
643	#452	C₂²×C₁₃	1	2	yes	complemented
644	#452	C₂²×C₁₃	1	2	yes	complemented
645	#451	C₂²×C₁₃	1	2	yes	complemented
646	#450	C₂²×C₁₃	1	2	yes	—
647	#450	C₂²×C₁₃	1	2	yes	—
648	#448	C₂²×C₁₃	1	1	yes	characteristic
649	#448	C₂²×C₁₃	1	2	yes	—
650	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#441	C₂²×C₁₃	1	2	yes	complemented
654	#440	C₂²×C₁₃	1	2	yes	complemented
655	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
656	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
657	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
658	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
661	#436	C₂²×C₁₃	1	1	yes	characteristic
662	#436	C₂²×C₁₃	1	2	yes	complemented
663	#435	C₂²×C₁₃	1	2	yes	complemented
664	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
665	#433	C₂²×C₁₃	1	2	yes	complemented
666	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#424	C₂²×C₁₃	1	2	yes	complemented
668	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	#418	C₂²×C₁₃	1	2	yes	—
670	#417	C₂²×C₁₃	1	2	yes	complemented
671	#416	C₂²×C₁₃	1	2	yes	complemented
672	C₂²×C₁₃	—	2	1	no	—
673	C₂²×C₁₃	—	2	2	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	2	1	no	—
677	C₂²×C₁₃	—	2	2	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	2	no	—
680	C₂²×C₁₃	—	4	1	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	—	4	1	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	16	4	no	—
688	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
689	C₄×C₁₃	—	2	1	no	—
690	C₄×C₁₃	—	2	1	no	—
691	C₄×C₁₃	—	2	2	no	—
692	C₄×C₁₃	—	2	1	no	—
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	2	2	no	—
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	2	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	—	4	2	no	—
700	C₄×C₁₃	—	4	1	no	—
701	C₄×C₁₃	—	4	2	no	—
702	C₄×C₁₃	—	4	1	no	—
703	C₄×C₁₃	—	4	1	no	—
704	C₄×C₁₃	—	4	2	no	—
705	C₄×C₁₃	#577	1	2	yes	—
706	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
707	C₄×C₁₃	#585	1	1	yes	characteristic
708	C₂×#41	—	2	1	no	—
709	C₂×#41	—	2	1	no	—
710	C₂×#41	C₂³×C₁₃	1	2	yes	—
711	C₂×#41	C₂³×C₁₃	1	2	yes	—
712	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
714	C₂²×D₄	—	2	1	no	—
715	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
716	#137	—	4	4	no	—
717	#137	—	4	4	no	—
718	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
721	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×SD₁₆	—	4	4	no	—
723	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
724	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
726	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
729	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
730	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
732	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
734	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
735	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
736	C₄⋊Q₈	—	2	1	no	—
737	C₄⋊Q₈	—	2	1	no	—
738	C₄⋊Q₈	—	2	2	no	—
739	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
740	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
742	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
743	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
744	#127	—	2	2	no	—
745	#127	C₂³×C₁₃	1	1	yes	characteristic
746	#127	C₂³×C₁₃	1	1	yes	characteristic
747	#127	C₂³×C₁₃	1	2	yes	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#126	—	2	2	no	—
752	#126	—	2	2	no	—
753	#126	—	2	2	no	—
754	#126	D₄×C₁₃	1	2	yes	—
755	#125	—	2	1	no	—
756	#125	—	2	2	no	—
757	#125	—	2	2	no	—
758	#125	—	2	2	no	—
759	#125	—	2	2	no	—
760	#125	—	2	2	no	—
761	#125	—	2	1	no	—
762	#125	D₄×C₁₃	1	1	yes	characteristic
763	#125	C₂³×C₁₃	1	2	yes	—
764	#124	—	2	1	no	—
765	#124	—	2	2	no	—
766	#124	—	2	1	no	—
767	#124	D₄×C₁₃	1	1	yes	characteristic
768	#124	C₂³×C₁₃	1	2	yes	—
769	#124	C₂³×C₁₃	1	2	yes	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	D₄×C₁₃	1	2	yes	—
775	C₂²⋊Q₈	—	2	1	no	—
776	C₂²⋊Q₈	—	2	1	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
782	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
783	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
785	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
786	#121	—	2	1	no	—
787	#121	—	2	1	no	—
788	#121	—	2	1	no	—
789	#121	—	2	1	no	—
790	#121	—	2	1	no	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	—	2	1	no	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	—	2	2	no	—
797	#121	—	2	2	no	—
798	#121	D₄×C₁₃	1	1	yes	characteristic
799	#121	C₂³×C₁₃	1	1	yes	characteristic
800	#121	C₂³×C₁₃	1	1	yes	characteristic
801	#121	C₂³×C₁₃	1	2	yes	—
802	#120	—	2	2	no	—
803	#120	—	2	2	no	—
804	#120	—	2	2	no	—
805	#120	—	2	2	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	—	2	2	no	—
808	C₄×Q₈	—	2	2	no	—
809	C₄×Q₈	—	2	1	no	—
810	C₄×Q₈	—	2	1	no	—
811	C₄×Q₈	—	2	1	no	—
812	C₄×Q₈	—	2	1	no	—
813	C₄×Q₈	—	2	1	no	—
814	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
815	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
816	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
817	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
818	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
819	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
820	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
821	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
822	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	—	2	1	no	—
829	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
831	C₄×D₄	C₂³×C₁₃	1	2	yes	—
832	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
833	C₄×D₄	C₂³×C₁₃	1	2	yes	—
834	#117	—	2	1	no	—
835	#117	—	2	1	no	—
836	#117	—	2	2	no	—
837	#117	—	2	2	no	—
838	#117	—	2	2	no	—
839	#117	C₂³×C₁₃	1	2	yes	—
840	#117	C₂³×C₁₃	1	2	yes	—
841	C₂×C₄⋊C₄	—	2	1	no	—
842	C₂×C₄⋊C₄	—	2	1	no	—
843	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	—	2	2	no	—
845	C₂×C₄²	—	2	1	no	—
846	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
847	#107	C₂³×C₁₃	1	2	yes	—
848	#107	C₂³×C₁₃	1	2	yes	—
849	#106	C₂³×C₁₃	1	1	yes	characteristic
850	#106	C₂³×C₁₃	1	1	yes	characteristic
851	#106	C₂³×C₁₃	1	1	yes	characteristic
852	#106	C₂³×C₁₃	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
854	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
856	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
858	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
859	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	2	yes	—
862	#103	C₂³×C₁₃	1	2	yes	—
863	#103	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	1	yes	characteristic
865	#103	C₂³×C₁₃	1	1	yes	characteristic
866	#103	C₂³×C₁₃	1	1	yes	characteristic
867	#103	C₂³×C₁₃	1	2	yes	—
868	#103	C₂³×C₁₃	1	2	yes	—
869	#103	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	1	yes	characteristic
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	2	yes	—
874	#102	C₂³×C₁₃	1	1	yes	characteristic
875	#102	C₂³×C₁₃	1	2	yes	—
876	#102	C₂³×C₁₃	1	2	yes	—
877	#102	C₂³×C₁₃	1	1	yes	characteristic
878	#102	C₂³×C₁₃	1	1	yes	characteristic
879	#102	C₂³×C₁₃	1	2	yes	—
880	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
882	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
883	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
884	#97	C₂³×C₁₃	1	2	yes	—
885	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
886	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
887	C₄×C₈	C₂³×C₁₃	1	2	yes	—
888	C₂×C₁₃	—	4	1	no	—
889	C₂×C₁₃	—	4	2	no	—
890	C₂×C₁₃	—	8	1	no	—
891	C₂×C₁₃	—	8	2	no	—
892	C₂×C₁₃	—	8	1	no	—
893	C₂×C₁₃	#3488	1	1	yes	characteristic
894	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
895	C₂×C₁₃	#3586	1	1	yes	characteristic
896	C₂⁴	—	2	2	no	—
897	#41	—	4	2	no	—
898	#41	—	4	2	no	—
899	#41	—	4	2	no	—
900	#41	—	4	2	no	—
901	#41	—	8	2	no	—
902	#41	—	8	2	no	—
903	C₂×Q₈	—	2	1	no	—
904	C₂×Q₈	—	2	2	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	1	no	—
907	C₂×Q₈	—	2	4	no	—
908	C₂×Q₈	—	2	2	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	—	4	1	no	—
911	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
912	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
913	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
914	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	4	2	no	—
930	C₂×D₄	—	8	2	no	—
931	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
933	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
934	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
935	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
945	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
946	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
948	Q₁₆	—	2	4	no	—
949	Q₁₆	—	4	2	no	—
950	Q₁₆	—	4	2	no	—
951	Q₁₆	—	4	2	no	—
952	SD₁₆	—	2	2	no	—
953	SD₁₆	—	2	4	no	—
954	SD₁₆	—	2	2	no	—
955	SD₁₆	—	4	2	no	—
956	SD₁₆	—	4	2	no	—
957	SD₁₆	—	4	2	no	—
958	SD₁₆	—	4	2	no	—
959	SD₁₆	—	4	2	no	—
960	SD₁₆	—	4	1	no	—
961	SD₁₆	—	4	1	no	—
962	M₁₆	—	4	2	no	—
963	M₁₆	—	4	2	no	—
964	C₂×C₈	—	4	2	no	—
965	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
967	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
968	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
969	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
970	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1002	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1003	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1021	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1023	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1024	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	2	no	—
1030	C₄²	—	2	2	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	2	no	—
1033	C₄²	—	2	2	no	—
1034	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1035	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1037	C₄²	C₂⁴×C₁₃	1	2	yes	—
1038	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₁₃	#62044	1	1	yes	characteristic, direct product factor, Sylow
1040	C₂³	—	2	1	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	1	no	—
1043	C₂³	—	8	2	no	—
1044	C₂³	—	8	2	no	—
1045	C₂³	—	8	2	no	—
1046	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1047	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1048	Q₈	—	2	2	no	—
1049	Q₈	—	2	1	no	—
1050	Q₈	—	2	2	no	—
1051	Q₈	—	2	1	no	—
1052	Q₈	—	2	2	no	—
1053	Q₈	—	2	1	no	—
1054	Q₈	—	2	2	no	—
1055	Q₈	—	2	2	no	—
1056	Q₈	—	4	2	no	—
1057	Q₈	—	4	4	no	—
1058	Q₈	—	4	2	no	—
1059	Q₈	—	8	1	no	—
1060	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	1	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	2	1	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	2	2	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	8	2	no	—
1071	D₄	—	8	1	no	—
1072	D₄	—	8	1	no	—
1073	D₄	—	8	2	no	—
1074	D₄	—	8	1	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	1	no	—
1080	D₄	—	8	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	4	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	4	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	—	8	2	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1105	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1107	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1108	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1109	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1110	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1111	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1112	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1113	C₈	—	2	1	no	—
1114	C₈	—	2	2	no	—
1115	C₈	—	2	1	no	—
1116	C₈	—	2	2	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	1	no	—
1119	C₂²	—	2	1	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	1	no	—
1122	C₂²	—	2	2	no	—
1123	C₂²	—	2	1	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	1	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	16	4	no	—
1135	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1136	C₄	—	2	1	no	—
1137	C₄	—	2	2	no	—
1138	C₄	—	2	1	no	—
1139	C₄	—	2	1	no	—
1140	C₄	—	2	2	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	2	no	—
1143	C₄	—	2	2	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	1	no	—
1146	C₄	—	4	2	no	—
1147	C₄	—	4	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	2	no	—
1150	C₄	—	4	1	no	—
1151	C₄	—	4	2	no	—
1152	C₄	C₁₃×#577	1	2	yes	—
1153	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1154	C₄	C₁₃×#585	1	1	yes	characteristic
1155	C₂	—	4	2	no	—
1156	C₂	—	4	1	no	—
1157	C₂	—	8	1	no	—
1158	C₂	—	8	2	no	—
1159	C₂	—	8	1	no	—
1160	C₂	C₁₃×#3488	1	1	yes	characteristic
1161	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1162	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×#3546	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#3523	C₂	semidirect
3. C₁₃×#3398	C₂	semidirect
4. C₁₃×#3392	C₂	semidirect
5. C₁₃×#3368	C₂	semidirect
6. C₁₃×#3364	C₂	semidirect
7. C₁₃×#3324	C₂	semidirect
8. C₁₃×#3323	C₂	semidirect
9. C₁₃×#3317	C₂	semidirect
10. C₁₃×#3302	C₂	semidirect
11. D₄×C₁₃×SD₁₆	C₂	semidirect
12. C₁₃×#3278	C₂	semidirect
13. C₁₃×#3276	C₂	semidirect
14. C₁₃×#3266	C₂	semidirect
15. C₁₃×#3258	C₂	semidirect
16. C₁₃×#3254	C₂	semidirect
17. C₁₃×#3222	C₂	semidirect
18. C₁₃×#3210	C₂	semidirect
19. C₁₃×#3121	C₂	semidirect
20. C₁₃×#3103	C₂	semidirect
21. C₁₃×#3043	C₂	semidirect
22. C₁₃×#3037	C₂	semidirect
23. C₁₃×#2993	C₂	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
25. C₂×C₁₃×#137	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
30. C₁₃×#557	C₂²	semidirect
36. C₁₃×#552	C₂²	semidirect
40. D₄×Q₈×C₁₃	C₂²	semidirect
47. C₁₃×#541	C₂²	semidirect
53. C₁₃×#533	C₂²	semidirect
58. C₁₃×#519	C₂²	semidirect
59. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
61. C₁₃×#494	C₂²	semidirect
63. C₁₃×#492	C₂²	semidirect
64. C₁₃×#490	C₂²	semidirect
66. C₁₃×#487	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
71. C₁₃×#481	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#478	C₂²	semidirect
74. C₁₃×#477	C₂²	semidirect
75. C₁₃×#475	C₂²	semidirect
76. C₁₃×#475	C₂²	semidirect
78. C₁₃×#474	C₂²	semidirect
79. C₁₃×#470	C₂²	semidirect
82. C₁₃×#468	C₂²	semidirect
83. C₁₃×#467	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#464	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#462	C₂²	semidirect
92. C₁₃×#462	C₂²	semidirect
93. C₁₃×#462	C₂²	semidirect
95. C₁₃×#461	C₂²	semidirect
96. C₁₃×#461	C₂²	semidirect
102. C₁₃×#460	C₂²	semidirect
103. C₁₃×#460	C₂²	semidirect
104. C₁₃×#452	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
107. C₁₃×#452	C₂²	semidirect
108. C₁₃×#451	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₁₃×#441	C₂²	semidirect
117. C₁₃×#440	C₂²	semidirect
118. C₄×C₁₃×Q₁₆	C₂²	semidirect
121. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₄×C₁₃×SD₁₆	C₂²	semidirect
123. C₄×C₁₃×SD₁₆	C₂²	semidirect
125. C₁₃×#436	C₂²	semidirect
126. C₁₃×#435	C₂²	semidirect
128. C₁₃×#433	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#424	C₂²	semidirect
131. C₁₃×#423	C₂²	semidirect
133. C₁₃×#417	C₂²	semidirect
134. C₁₃×#416	C₂²	semidirect
315. #62044	C₁₃	direct (N × H)
460. #3523	C₂×C₁₃	semidirect
461. #3398	C₂×C₁₃	semidirect
462. #3392	C₂×C₁₃	semidirect
463. #3368	C₂×C₁₃	semidirect
464. #3364	C₂×C₁₃	semidirect
465. #3324	C₂×C₁₃	semidirect
466. #3323	C₂×C₁₃	semidirect
467. #3317	C₂×C₁₃	semidirect
468. #3302	C₂×C₁₃	semidirect
469. D₄×SD₁₆	C₂×C₁₃	semidirect
470. #3278	C₂×C₁₃	semidirect
471. #3276	C₂×C₁₃	semidirect
472. #3266	C₂×C₁₃	semidirect
473. #3258	C₂×C₁₃	semidirect
474. #3254	C₂×C₁₃	semidirect
475. #3222	C₂×C₁₃	semidirect
476. #3210	C₂×C₁₃	semidirect
477. #3121	C₂×C₁₃	semidirect
478. #3103	C₂×C₁₃	semidirect
479. #3043	C₂×C₁₃	semidirect
480. #3037	C₂×C₁₃	semidirect
481. #2993	C₂×C₁₃	semidirect
561. C₂×#137	C₂²×C₁₃	semidirect
562. C₂×#137	C₂²×C₁₃	semidirect
566. #557	C₂²×C₁₃	semidirect
567. #557	C₂²×C₁₃	semidirect
573. #552	C₂²×C₁₃	semidirect
577. D₄×Q₈	C₂²×C₁₃	semidirect
584. #541	C₂²×C₁₃	semidirect
590. #533	C₂²×C₁₃	semidirect
595. #519	C₂²×C₁₃	semidirect
596. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
598. #494	C₂²×C₁₃	semidirect
600. #492	C₂²×C₁₃	semidirect
601. #490	C₂²×C₁₃	semidirect
603. #487	C₂²×C₁₃	semidirect
605. #485	C₂²×C₁₃	semidirect
608. #481	C₂²×C₁₃	semidirect
609. #479	C₂²×C₁₃	semidirect
610. #478	C₂²×C₁₃	semidirect
611. #477	C₂²×C₁₃	semidirect
612. #475	C₂²×C₁₃	semidirect
613. #475	C₂²×C₁₃	semidirect
615. #474	C₂²×C₁₃	semidirect
616. #470	C₂²×C₁₃	semidirect
619. #468	C₂²×C₁₃	semidirect
620. #467	C₂²×C₁₃	semidirect
624. #464	C₂²×C₁₃	semidirect
625. #464	C₂²×C₁₃	semidirect
626. #464	C₂²×C₁₃	semidirect
627. #464	C₂²×C₁₃	semidirect
628. #462	C₂²×C₁₃	semidirect
629. #462	C₂²×C₁₃	semidirect
630. #462	C₂²×C₁₃	semidirect
632. #461	C₂²×C₁₃	semidirect
633. #461	C₂²×C₁₃	semidirect
639. #460	C₂²×C₁₃	semidirect
640. #460	C₂²×C₁₃	semidirect
641. #452	C₂²×C₁₃	semidirect
642. #452	C₂²×C₁₃	semidirect
643. #452	C₂²×C₁₃	semidirect
644. #452	C₂²×C₁₃	semidirect
645. #451	C₂²×C₁₃	semidirect
650. #448	C₂²×C₁₃	semidirect
651. #446	C₂²×C₁₃	semidirect
652. C₈×Q₈	C₂²×C₁₃	semidirect
653. #441	C₂²×C₁₃	semidirect
654. #440	C₂²×C₁₃	semidirect
655. C₄×Q₁₆	C₂²×C₁₃	semidirect
658. C₄×SD₁₆	C₂²×C₁₃	semidirect
659. C₄×SD₁₆	C₂²×C₁₃	semidirect
660. C₄×SD₁₆	C₂²×C₁₃	semidirect
662. #436	C₂²×C₁₃	semidirect
663. #435	C₂²×C₁₃	semidirect
665. #433	C₂²×C₁₃	semidirect
666. #431	C₂²×C₁₃	semidirect
667. #424	C₂²×C₁₃	semidirect
668. #423	C₂²×C₁₃	semidirect
670. #417	C₂²×C₁₃	semidirect
671. #416	C₂²×C₁₃	semidirect
1039. C₁₃	#62044	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×#3546	2
C₁₃×#3523	2
C₁₃×#3398	2
C₁₃×#3392	2
C₁₃×#3368	2
C₁₃×#3364	2
C₁₃×#3324	2
C₁₃×#3323	2
C₁₃×#3317	2
C₁₃×#3302	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3278	2
C₁₃×#3276	2
C₁₃×#3266	2
C₁₃×#3258	2
C₁₃×#3254	2
C₁₃×#3222	2
C₁₃×#3210	2
C₁₃×#3121	2
C₁₃×#3103	2
C₁₃×#3043	2
C₁₃×#3037	2
C₁₃×#2993	2
#62044	13

Subgroups — C13×#62044 #15748383

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62044 #15748383