Subgroups — C₁₃×#62573 #15748912

Order 3328.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1050 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3559	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3366	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3332	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3307	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3244	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3214	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3184	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3142	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3136	C₂	1	2	yes	maximal, complemented
19	C₁₃×#2967	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#563	—	2	1	no	—
21	C₁₃×#562	—	2	1	no	—
22	C₁₃×#560	—	2	2	no	—
23	C₁₃×#556	C₂²	1	1	yes	characteristic
24	C₁₃×#554	C₂²	1	2	yes	complemented
25	C₁₃×#553	—	2	1	no	—
26	C₁₃×#553	C₂²	1	2	yes	—
27	C₁₃×#553	C₂²	1	2	yes	complemented
28	C₁₃×#550	C₂²	1	2	yes	—
29	C₁₃×#550	C₂²	1	1	yes	characteristic
30	C₁₃×#547	—	2	2	no	—
31	C₁₃×#547	C₂²	1	1	yes	characteristic
32	C₁₃×#547	C₂²	1	2	yes	complemented
33	C₁₃×#546	—	2	1	no	—
34	C₁₃×#546	C₂²	1	2	yes	—
35	D₄²×C₁₃	C₂²	1	1	yes	characteristic
36	C₁₃×#544	C₂²	1	2	yes	complemented
37	C₁₃×#542	C₂²	1	2	yes	—
38	C₁₃×#540	C₂²	1	2	yes	complemented
39	C₁₃×#539	—	2	2	no	—
40	C₁₃×#539	—	2	1	no	—
41	C₁₃×#538	—	2	2	no	—
42	C₁₃×#537	—	2	1	no	—
43	C₁₃×#537	—	2	1	no	—
44	C₁₃×#535	—	2	1	no	—
45	C₁₃×#535	C₂²	1	2	yes	—
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#501	C₂²	1	2	yes	complemented
52	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#496	C₂²	1	2	yes	complemented
54	C₁₃×#493	C₂²	1	1	yes	characteristic
55	C₁₃×#491	C₂²	1	2	yes	complemented
56	C₁₃×#490	C₂²	1	2	yes	—
57	C₁₃×#490	C₂²	1	2	yes	—
58	C₁₃×#490	C₂²	1	2	yes	complemented
59	C₁₃×#489	C₂²	1	2	yes	—
60	C₁₃×#489	C₂²	1	2	yes	complemented
61	C₁₃×#488	C₂²	1	2	yes	—
62	C₁₃×#488	C₂²	1	2	yes	complemented
63	C₁₃×#488	C₂²	1	2	yes	complemented
64	C₁₃×#486	C₂²	1	1	yes	characteristic
65	C₁₃×#486	C₂²	1	2	yes	complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#483	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	2	yes	—
72	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#480	C₂²	1	1	yes	characteristic
74	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#479	C₂²	1	2	yes	complemented
76	C₁₃×#478	C₂²	1	2	yes	—
77	C₁₃×#478	C₂²	1	2	yes	complemented
78	C₁₃×#478	C₂²	1	2	yes	complemented
79	C₁₃×#476	C₂²	1	2	yes	complemented
80	C₁₃×#475	C₂²	1	2	yes	complemented
81	C₁₃×#469	C₂²	1	2	yes	—
82	C₁₃×#469	C₂²	1	2	yes	—
83	C₁₃×#469	C₂²	1	2	yes	complemented
84	C₁₃×#468	C₂²	1	2	yes	complemented
85	C₁₃×#466	C₂²	1	2	yes	—
86	C₁₃×#465	C₂²	1	2	yes	complemented
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#461	C₂²	1	2	yes	complemented
90	C₁₃×#459	C₂²	1	2	yes	—
91	C₁₃×#459	C₂²	1	2	yes	complemented
92	C₁₃×#459	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	complemented
94	C₁₃×#449	C₂²	1	2	yes	complemented
95	C₁₃×#449	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#447	C₂²	1	2	yes	—
98	C₁₃×#447	C₂²	1	2	yes	—
99	C₁₃×#446	C₂²	1	2	yes	complemented
100	C₁₃×#442	C₂²	1	2	yes	—
101	C₁₃×#442	C₂²	1	2	yes	complemented
102	C₁₃×#442	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
105	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
106	C₁₃×#436	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	—
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#418	C₂²	1	2	yes	—
112	C₁₃×#417	C₂²	1	2	yes	complemented
113	C₁₃×#417	C₂²	1	2	yes	complemented
114	C₁₃×#417	C₂²	1	2	yes	complemented
115	C₁₃×#416	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#102	C₂²	1	2	yes	—
117	C₁₃×#405	C₂²	1	2	yes	complemented
118	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	—	2	2	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	—	2	1	no	—
123	C₂×C₁₃×#41	C₂³	1	2	yes	—
124	C₂×C₁₃×#41	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃	—	2	1	no	—
126	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
127	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
128	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
129	C₂×C₁₃×D₈	C₂³	1	2	yes	—
130	C₂×C₁₃×D₈	C₂³	1	2	yes	—
131	C₂×C₁₃×D₈	C₂³	1	2	yes	—
132	C₂×C₁₃×D₈	C₂³	1	2	yes	—
133	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
134	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
135	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
136	C₁₃×C₄⋊Q₈	—	2	2	no	—
137	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
138	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
139	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
140	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
141	C₁₃×#127	—	2	2	no	—
142	C₁₃×#127	C₂³	1	1	yes	characteristic
143	C₁₃×#127	C₂³	1	2	yes	—
144	C₁₃×#127	C₂³	1	1	yes	characteristic
145	C₁₃×#127	C₂³	1	1	yes	characteristic
146	C₁₃×#126	—	2	2	no	—
147	C₁₃×#126	—	2	2	no	—
148	C₁₃×#126	—	2	2	no	—
149	C₁₃×#126	—	2	2	no	—
150	C₁₃×#126	D₄	1	2	yes	—
151	C₁₃×#125	—	2	2	no	—
152	C₁₃×#125	—	2	1	no	—
153	C₁₃×#125	—	2	1	no	—
154	C₁₃×#125	D₄	1	1	yes	characteristic
155	C₁₃×#125	C₂³	1	2	yes	—
156	C₁₃×#125	C₂³	1	2	yes	—
157	C₁₃×#125	C₂³	1	2	yes	—
158	C₁₃×#124	—	2	2	no	—
159	C₁₃×#124	—	2	1	no	—
160	C₁₃×#124	—	2	1	no	—
161	C₁₃×#124	D₄	1	1	yes	characteristic
162	C₁₃×#124	C₂³	1	2	yes	—
163	C₁₃×#124	C₂³	1	2	yes	—
164	C₁₃×#123	—	2	2	no	—
165	C₁₃×#123	—	2	2	no	—
166	C₁₃×#123	—	2	2	no	—
167	C₁₃×#123	—	2	2	no	—
168	C₁₃×#123	—	2	2	no	—
169	C₁₃×#123	—	2	2	no	—
170	C₁₃×#123	—	2	2	no	—
171	C₁₃×#123	—	2	2	no	—
172	C₁₃×#123	—	2	2	no	—
173	C₁₃×#123	D₄	1	2	yes	—
174	C₁₃×C₂²⋊Q₈	—	2	1	no	—
175	C₁₃×C₂²⋊Q₈	—	2	2	no	—
176	C₁₃×C₂²⋊Q₈	—	2	2	no	—
177	C₁₃×C₂²⋊Q₈	—	2	2	no	—
178	C₁₃×C₂²⋊Q₈	—	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	D₄	1	1	yes	characteristic
183	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
184	C₁₃×#121	—	2	1	no	—
185	C₁₃×#121	—	2	2	no	—
186	C₁₃×#121	—	2	2	no	—
187	C₁₃×#121	—	2	1	no	—
188	C₁₃×#121	—	2	1	no	—
189	C₁₃×#121	—	2	1	no	—
190	C₁₃×#121	—	2	1	no	—
191	C₁₃×#121	—	2	1	no	—
192	C₁₃×#121	—	2	2	no	—
193	C₁₃×#121	—	2	2	no	—
194	C₁₃×#121	—	2	1	no	—
195	C₁₃×#121	—	2	2	no	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	D₄	1	1	yes	characteristic
202	C₁₃×#121	C₂³	1	2	yes	—
203	C₁₃×#121	C₂³	1	2	yes	—
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#121	C₂³	1	1	yes	characteristic
207	C₁₃×#121	C₂³	1	1	yes	characteristic
208	C₁₃×#120	—	2	2	no	—
209	C₁₃×#120	—	2	2	no	—
210	C₁₃×#120	—	2	2	no	—
211	C₁₃×#120	—	2	2	no	—
212	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
213	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
214	C₄×D₄×C₁₃	—	2	2	no	—
215	C₄×D₄×C₁₃	—	2	2	no	—
216	C₄×D₄×C₁₃	—	2	2	no	—
217	C₄×D₄×C₁₃	—	2	1	no	—
218	C₄×D₄×C₁₃	—	2	1	no	—
219	C₄×D₄×C₁₃	—	2	1	no	—
220	C₄×D₄×C₁₃	—	2	1	no	—
221	C₄×D₄×C₁₃	C₂³	1	2	yes	—
222	C₄×D₄×C₁₃	C₂³	1	2	yes	—
223	C₄×D₄×C₁₃	C₂³	1	2	yes	—
224	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×D₄×C₁₃	C₂³	1	2	yes	—
226	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₁₃	C₂³	1	2	yes	—
229	C₁₃×#117	—	2	1	no	—
230	C₁₃×#117	C₂³	1	2	yes	—
231	C₁₃×#117	C₂³	1	2	yes	—
232	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
233	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
234	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
235	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₁₃×#107	C₂³	1	2	yes	—
242	C₁₃×#107	C₂³	1	2	yes	—
243	C₁₃×#106	C₂³	1	2	yes	—
244	C₁₃×#106	C₂³	1	2	yes	—
245	C₁₃×#106	C₂³	1	2	yes	—
246	C₁₃×#106	C₂³	1	2	yes	—
247	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
248	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
249	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
250	C₁₃×#103	C₂³	1	2	yes	—
251	C₁₃×#103	C₂³	1	2	yes	—
252	C₁₃×#103	C₂³	1	2	yes	—
253	C₁₃×#103	C₂³	1	2	yes	—
254	C₁₃×#103	C₂³	1	2	yes	—
255	C₁₃×#103	C₂³	1	2	yes	—
256	C₁₃×#102	C₂³	1	2	yes	—
257	C₁₃×#102	C₂³	1	2	yes	—
258	C₁₃×#102	C₂³	1	2	yes	—
259	C₁₃×#102	C₂³	1	2	yes	—
260	C₁₃×#102	C₂³	1	2	yes	—
261	C₁₃×#102	C₂³	1	2	yes	—
262	C₁₃×#102	C₂³	1	2	yes	—
263	C₁₃×#102	C₂³	1	2	yes	—
264	C₁₃×#102	C₂³	1	2	yes	—
265	C₁₃×#102	C₂³	1	2	yes	—
266	C₁₃×#102	C₂³	1	2	yes	—
267	C₁₃×#102	C₂³	1	2	yes	—
268	C₁₃×#102	C₂³	1	2	yes	—
269	C₁₃×#102	C₂³	1	2	yes	—
270	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
273	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
274	C₁₃×#97	C₂³	1	2	yes	—
275	C₁₃×#97	C₂³	1	2	yes	—
276	C₁₃×#97	C₂³	1	2	yes	—
277	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
278	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
279	C₄×C₈×C₁₃	C₂³	1	2	yes	—
280	#62573	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂⁴×C₁₃	—	2	2	no	—
282	C₁₃×#41	—	4	2	no	—
283	C₁₃×#41	—	4	2	no	—
284	C₁₃×#41	—	4	2	no	—
285	C₁₃×#41	—	4	2	no	—
286	C₁₃×#41	—	8	2	no	—
287	C₁₃×#41	—	8	2	no	—
288	C₁₃×#41	—	8	4	no	—
289	C₁₃×#41	—	8	2	no	—
290	C₂×Q₈×C₁₃	—	2	2	no	—
291	C₂×Q₈×C₁₃	—	2	1	no	—
292	C₂×Q₈×C₁₃	—	2	1	no	—
293	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
294	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
295	C₂×D₄×C₁₃	—	2	2	no	—
296	C₂×D₄×C₁₃	—	2	2	no	—
297	C₂×D₄×C₁₃	—	2	1	no	—
298	C₂×D₄×C₁₃	—	2	2	no	—
299	C₂×D₄×C₁₃	—	2	2	no	—
300	C₂×D₄×C₁₃	—	2	2	no	—
301	C₂×D₄×C₁₃	—	2	2	no	—
302	C₂×D₄×C₁₃	—	2	1	no	—
303	C₂×D₄×C₁₃	—	2	1	no	—
304	C₂×D₄×C₁₃	—	2	1	no	—
305	C₂×D₄×C₁₃	—	2	1	no	—
306	C₂×D₄×C₁₃	—	2	2	no	—
307	C₂×D₄×C₁₃	—	2	1	no	—
308	C₂×D₄×C₁₃	—	2	1	no	—
309	C₂×D₄×C₁₃	—	2	2	no	—
310	C₂×D₄×C₁₃	—	2	2	no	—
311	C₂×D₄×C₁₃	—	2	1	no	—
312	C₂×D₄×C₁₃	—	4	2	no	—
313	C₂×D₄×C₁₃	—	4	2	no	—
314	C₂×D₄×C₁₃	—	8	2	no	—
315	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
316	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
317	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
318	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
319	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
320	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃	—	2	1	no	—
322	C₂²×C₄×C₁₃	—	2	1	no	—
323	C₂²×C₄×C₁₃	—	2	2	no	—
324	C₂²×C₄×C₁₃	—	2	1	no	—
325	C₂²×C₄×C₁₃	—	2	1	no	—
326	C₂²×C₄×C₁₃	—	2	2	no	—
327	C₂²×C₄×C₁₃	—	2	2	no	—
328	C₂²×C₄×C₁₃	—	2	2	no	—
329	C₂²×C₄×C₁₃	—	2	2	no	—
330	C₂²×C₄×C₁₃	—	2	2	no	—
331	C₂²×C₄×C₁₃	—	2	2	no	—
332	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
336	C₁₃×SD₁₆	—	4	2	no	—
337	C₁₃×SD₁₆	—	4	2	no	—
338	C₁₃×D₈	—	4	2	no	—
339	C₁₃×D₈	—	4	2	no	—
340	C₁₃×D₈	—	4	2	no	—
341	C₁₃×D₈	—	4	2	no	—
342	C₁₃×M₁₆	—	4	2	no	—
343	C₁₃×M₁₆	—	4	2	no	—
344	C₂×C₈×C₁₃	—	4	2	no	—
345	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
346	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
347	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
348	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
349	C₁₃×C₄⋊C₄	—	2	2	no	—
350	C₁₃×C₄⋊C₄	—	2	1	no	—
351	C₁₃×C₄⋊C₄	—	2	2	no	—
352	C₁₃×C₄⋊C₄	—	2	2	no	—
353	C₁₃×C₄⋊C₄	—	2	2	no	—
354	C₁₃×C₄⋊C₄	—	2	2	no	—
355	C₁₃×C₄⋊C₄	—	2	2	no	—
356	C₁₃×C₄⋊C₄	—	2	2	no	—
357	C₁₃×C₄⋊C₄	—	2	1	no	—
358	C₁₃×C₄⋊C₄	—	2	2	no	—
359	C₁₃×C₄⋊C₄	—	2	1	no	—
360	C₁₃×C₄⋊C₄	—	2	1	no	—
361	C₁₃×C₄⋊C₄	—	2	1	no	—
362	C₁₃×C₄⋊C₄	—	2	1	no	—
363	C₁₃×C₄⋊C₄	—	2	2	no	—
364	C₁₃×C₄⋊C₄	—	2	2	no	—
365	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
367	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
368	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
369	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
370	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
371	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
372	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
373	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
374	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
375	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
376	C₁₃×C₂²⋊C₄	—	2	2	no	—
377	C₁₃×C₂²⋊C₄	—	2	2	no	—
378	C₁₃×C₂²⋊C₄	—	2	1	no	—
379	C₁₃×C₂²⋊C₄	—	2	2	no	—
380	C₁₃×C₂²⋊C₄	—	2	2	no	—
381	C₁₃×C₂²⋊C₄	—	2	1	no	—
382	C₁₃×C₂²⋊C₄	—	2	2	no	—
383	C₁₃×C₂²⋊C₄	—	2	2	no	—
384	C₁₃×C₂²⋊C₄	—	2	2	no	—
385	C₁₃×C₂²⋊C₄	—	2	2	no	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	1	no	—
389	C₁₃×C₂²⋊C₄	—	2	2	no	—
390	C₁₃×C₂²⋊C₄	—	2	1	no	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	2	no	—
393	C₁₃×C₂²⋊C₄	—	2	2	no	—
394	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
395	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
396	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
397	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
398	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
399	C₄²×C₁₃	—	2	2	no	—
400	C₄²×C₁₃	—	2	2	no	—
401	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
403	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₄²×C₁₃	C₂⁴	1	2	yes	—
405	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
406	#3559	C₂×C₁₃	1	1	yes	characteristic, complemented
407	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
408	#3376	C₂×C₁₃	1	2	yes	complemented
409	#3366	C₂×C₁₃	1	2	yes	complemented
410	#3332	C₂×C₁₃	1	2	yes	complemented
411	#3322	C₂×C₁₃	1	2	yes	complemented
412	#3318	C₂×C₁₃	1	2	yes	complemented
413	#3309	C₂×C₁₃	1	2	yes	complemented
414	#3307	C₂×C₁₃	1	2	yes	complemented
415	#3306	C₂×C₁₃	1	2	yes	complemented
416	#3244	C₂×C₁₃	1	2	yes	complemented
417	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
418	#3220	C₂×C₁₃	1	2	yes	complemented
419	#3214	C₂×C₁₃	1	1	yes	characteristic, complemented
420	#3184	C₂×C₁₃	1	1	yes	characteristic, complemented
421	#3179	C₂×C₁₃	1	2	yes	complemented
422	#3142	C₂×C₁₃	1	1	yes	characteristic, complemented
423	#3136	C₂×C₁₃	1	2	yes	complemented
424	#2967	C₂×C₁₃	1	1	yes	characteristic, complemented
425	C₂³×C₁₃	—	2	2	no	—
426	C₂³×C₁₃	—	2	1	no	—
427	C₂³×C₁₃	—	2	2	no	—
428	C₂³×C₁₃	—	2	1	no	—
429	C₂³×C₁₃	—	8	2	no	—
430	C₂³×C₁₃	—	8	2	no	—
431	C₂³×C₁₃	—	8	2	no	—
432	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
433	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
434	Q₈×C₁₃	—	2	2	no	—
435	Q₈×C₁₃	—	2	2	no	—
436	Q₈×C₁₃	—	4	1	no	—
437	Q₈×C₁₃	—	8	1	no	—
438	Q₈×C₁₃	—	8	1	no	—
439	Q₈×C₁₃	—	8	2	no	—
440	D₄×C₁₃	—	2	2	no	—
441	D₄×C₁₃	—	2	2	no	—
442	D₄×C₁₃	—	2	2	no	—
443	D₄×C₁₃	—	2	2	no	—
444	D₄×C₁₃	—	2	2	no	—
445	D₄×C₁₃	—	2	2	no	—
446	D₄×C₁₃	—	4	1	no	—
447	D₄×C₁₃	—	4	2	no	—
448	D₄×C₁₃	—	4	2	no	—
449	D₄×C₁₃	—	4	4	no	—
450	D₄×C₁₃	—	8	1	no	—
451	D₄×C₁₃	—	8	1	no	—
452	D₄×C₁₃	—	8	1	no	—
453	D₄×C₁₃	—	8	2	no	—
454	D₄×C₁₃	—	8	2	no	—
455	D₄×C₁₃	—	8	1	no	—
456	D₄×C₁₃	—	8	1	no	—
457	D₄×C₁₃	—	8	2	no	—
458	D₄×C₁₃	—	8	2	no	—
459	D₄×C₁₃	—	8	2	no	—
460	D₄×C₁₃	—	8	2	no	—
461	D₄×C₁₃	—	8	2	no	—
462	D₄×C₁₃	—	8	1	no	—
463	D₄×C₁₃	—	8	2	no	—
464	D₄×C₁₃	—	8	1	no	—
465	C₂×C₄×C₁₃	—	2	2	no	—
466	C₂×C₄×C₁₃	—	2	2	no	—
467	C₂×C₄×C₁₃	—	2	2	no	—
468	C₂×C₄×C₁₃	—	2	1	no	—
469	C₂×C₄×C₁₃	—	2	2	no	—
470	C₂×C₄×C₁₃	—	2	2	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	1	no	—
473	C₂×C₄×C₁₃	—	2	2	no	—
474	C₂×C₄×C₁₃	—	4	1	no	—
475	C₂×C₄×C₁₃	—	4	1	no	—
476	C₂×C₄×C₁₃	—	4	2	no	—
477	C₂×C₄×C₁₃	—	4	2	no	—
478	C₂×C₄×C₁₃	—	4	2	no	—
479	C₂×C₄×C₁₃	—	8	2	no	—
480	C₂×C₄×C₁₃	—	8	2	no	—
481	C₂×C₄×C₁₃	—	8	2	no	—
482	C₂×C₄×C₁₃	—	8	2	no	—
483	C₂×C₄×C₁₃	—	8	2	no	—
484	C₂×C₄×C₁₃	—	8	2	no	—
485	C₂×C₄×C₁₃	—	8	1	no	—
486	C₂×C₄×C₁₃	—	8	2	no	—
487	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
488	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
489	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
490	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
491	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
492	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
493	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
494	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
496	C₈×C₁₃	—	2	2	no	—
497	C₈×C₁₃	—	2	2	no	—
498	C₈×C₁₃	—	2	2	no	—
499	C₈×C₁₃	—	2	2	no	—
500	#563	—	2	1	no	—
501	#562	—	2	1	no	—
502	#560	—	2	2	no	—
503	#556	C₂²×C₁₃	1	1	yes	characteristic
504	#554	C₂²×C₁₃	1	2	yes	complemented
505	#553	—	2	1	no	—
506	#553	C₂²×C₁₃	1	2	yes	—
507	#553	C₂²×C₁₃	1	2	yes	complemented
508	#550	C₂²×C₁₃	1	2	yes	—
509	#550	C₂²×C₁₃	1	1	yes	characteristic
510	#547	—	2	2	no	—
511	#547	C₂²×C₁₃	1	1	yes	characteristic
512	#547	C₂²×C₁₃	1	2	yes	complemented
513	#546	—	2	1	no	—
514	#546	C₂²×C₁₃	1	2	yes	—
515	D₄²	C₂²×C₁₃	1	1	yes	characteristic
516	#544	C₂²×C₁₃	1	2	yes	complemented
517	#542	C₂²×C₁₃	1	2	yes	—
518	#540	C₂²×C₁₃	1	2	yes	complemented
519	#539	—	2	2	no	—
520	#539	—	2	1	no	—
521	#538	—	2	2	no	—
522	#537	—	2	1	no	—
523	#537	—	2	1	no	—
524	#535	—	2	1	no	—
525	#535	C₂²×C₁₃	1	2	yes	—
526	#532	C₂²×C₁₃	1	1	yes	characteristic
527	#532	C₂²×C₁₃	1	1	yes	characteristic
528	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
529	#529	C₂²×C₁₃	1	1	yes	characteristic
530	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
531	#501	C₂²×C₁₃	1	2	yes	complemented
532	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
533	#496	C₂²×C₁₃	1	2	yes	complemented
534	#493	C₂²×C₁₃	1	1	yes	characteristic
535	#491	C₂²×C₁₃	1	2	yes	complemented
536	#490	C₂²×C₁₃	1	2	yes	—
537	#490	C₂²×C₁₃	1	2	yes	—
538	#490	C₂²×C₁₃	1	2	yes	complemented
539	#489	C₂²×C₁₃	1	2	yes	—
540	#489	C₂²×C₁₃	1	2	yes	complemented
541	#488	C₂²×C₁₃	1	2	yes	—
542	#488	C₂²×C₁₃	1	2	yes	complemented
543	#488	C₂²×C₁₃	1	2	yes	complemented
544	#486	C₂²×C₁₃	1	1	yes	characteristic
545	#486	C₂²×C₁₃	1	2	yes	complemented
546	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
547	#485	C₂²×C₁₃	1	2	yes	complemented
548	#483	C₂²×C₁₃	1	2	yes	complemented
549	#482	C₂²×C₁₃	1	2	yes	—
550	#481	C₂²×C₁₃	1	2	yes	—
551	#481	C₂²×C₁₃	1	1	yes	characteristic
552	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
553	#480	C₂²×C₁₃	1	1	yes	characteristic
554	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
555	#479	C₂²×C₁₃	1	2	yes	complemented
556	#478	C₂²×C₁₃	1	2	yes	—
557	#478	C₂²×C₁₃	1	2	yes	complemented
558	#478	C₂²×C₁₃	1	2	yes	complemented
559	#476	C₂²×C₁₃	1	2	yes	complemented
560	#475	C₂²×C₁₃	1	2	yes	complemented
561	#469	C₂²×C₁₃	1	2	yes	—
562	#469	C₂²×C₁₃	1	2	yes	—
563	#469	C₂²×C₁₃	1	2	yes	complemented
564	#468	C₂²×C₁₃	1	2	yes	complemented
565	#466	C₂²×C₁₃	1	2	yes	—
566	#465	C₂²×C₁₃	1	2	yes	complemented
567	#463	C₂²×C₁₃	1	2	yes	—
568	#463	C₂²×C₁₃	1	2	yes	—
569	#461	C₂²×C₁₃	1	2	yes	complemented
570	#459	C₂²×C₁₃	1	2	yes	—
571	#459	C₂²×C₁₃	1	2	yes	complemented
572	#459	C₂²×C₁₃	1	2	yes	complemented
573	#449	C₂²×C₁₃	1	2	yes	complemented
574	#449	C₂²×C₁₃	1	2	yes	complemented
575	#449	C₂²×C₁₃	1	2	yes	complemented
576	#449	C₂²×C₁₃	1	2	yes	complemented
577	#447	C₂²×C₁₃	1	2	yes	—
578	#447	C₂²×C₁₃	1	2	yes	—
579	#446	C₂²×C₁₃	1	2	yes	complemented
580	#442	C₂²×C₁₃	1	2	yes	—
581	#442	C₂²×C₁₃	1	2	yes	complemented
582	#442	C₂²×C₁₃	1	2	yes	complemented
583	#440	C₂²×C₁₃	1	2	yes	complemented
584	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
585	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
586	#436	C₂²×C₁₃	1	2	yes	complemented
587	#435	C₂²×C₁₃	1	2	yes	—
588	#435	C₂²×C₁₃	1	2	yes	complemented
589	#433	C₂²×C₁₃	1	2	yes	complemented
590	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#418	C₂²×C₁₃	1	2	yes	—
592	#417	C₂²×C₁₃	1	2	yes	complemented
593	#417	C₂²×C₁₃	1	2	yes	complemented
594	#417	C₂²×C₁₃	1	2	yes	complemented
595	#416	C₂²×C₁₃	1	2	yes	complemented
596	C₂×#102	C₂²×C₁₃	1	2	yes	—
597	#405	C₂²×C₁₃	1	2	yes	complemented
598	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	C₂²×C₁₃	—	2	1	no	—
600	C₂²×C₁₃	—	2	1	no	—
601	C₂²×C₁₃	—	2	2	no	—
602	C₂²×C₁₃	—	2	2	no	—
603	C₂²×C₁₃	—	2	1	no	—
604	C₂²×C₁₃	—	2	2	no	—
605	C₂²×C₁₃	—	4	1	no	—
606	C₂²×C₁₃	—	4	1	no	—
607	C₂²×C₁₃	—	4	2	no	—
608	C₂²×C₁₃	—	4	2	no	—
609	C₂²×C₁₃	—	4	2	no	—
610	C₂²×C₁₃	—	4	1	no	—
611	C₂²×C₁₃	—	4	2	no	—
612	C₂²×C₁₃	—	4	1	no	—
613	C₂²×C₁₃	—	4	1	no	—
614	C₂²×C₁₃	—	4	2	no	—
615	C₂²×C₁₃	—	4	1	no	—
616	C₂²×C₁₃	—	4	2	no	—
617	C₂²×C₁₃	—	16	4	no	—
618	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
619	C₄×C₁₃	—	2	1	no	—
620	C₄×C₁₃	—	2	1	no	—
621	C₄×C₁₃	—	2	1	no	—
622	C₄×C₁₃	—	2	1	no	—
623	C₄×C₁₃	—	2	2	no	—
624	C₄×C₁₃	—	2	2	no	—
625	C₄×C₁₃	—	2	1	no	—
626	C₄×C₁₃	—	2	2	no	—
627	C₄×C₁₃	—	4	1	no	—
628	C₄×C₁₃	—	4	2	no	—
629	C₄×C₁₃	—	4	1	no	—
630	C₄×C₁₃	—	4	2	no	—
631	C₄×C₁₃	—	4	2	no	—
632	C₄×C₁₃	—	4	2	no	—
633	C₄×C₁₃	#585	1	2	yes	—
634	C₂×#41	—	2	1	no	—
635	C₂×#41	—	2	2	no	—
636	C₂×#41	—	2	1	no	—
637	C₂×#41	—	2	1	no	—
638	C₂×#41	C₂³×C₁₃	1	2	yes	—
639	C₂×#41	C₂³×C₁₃	1	2	yes	—
640	C₂²×D₄	—	2	1	no	—
641	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
642	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
643	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
644	C₂×D₈	C₂³×C₁₃	1	2	yes	—
645	C₂×D₈	C₂³×C₁₃	1	2	yes	—
646	C₂×D₈	C₂³×C₁₃	1	2	yes	—
647	C₂×D₈	C₂³×C₁₃	1	2	yes	—
648	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
649	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
650	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
651	C₄⋊Q₈	—	2	2	no	—
652	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
653	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
654	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
655	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
656	#127	—	2	2	no	—
657	#127	C₂³×C₁₃	1	1	yes	characteristic
658	#127	C₂³×C₁₃	1	1	yes	characteristic
659	#127	C₂³×C₁₃	1	1	yes	characteristic
660	#127	C₂³×C₁₃	1	2	yes	—
661	#126	—	2	2	no	—
662	#126	—	2	2	no	—
663	#126	—	2	2	no	—
664	#126	—	2	2	no	—
665	#126	D₄×C₁₃	1	2	yes	—
666	#125	—	2	2	no	—
667	#125	—	2	1	no	—
668	#125	—	2	1	no	—
669	#125	D₄×C₁₃	1	1	yes	characteristic
670	#125	C₂³×C₁₃	1	2	yes	—
671	#125	C₂³×C₁₃	1	2	yes	—
672	#125	C₂³×C₁₃	1	2	yes	—
673	#124	—	2	2	no	—
674	#124	—	2	1	no	—
675	#124	—	2	1	no	—
676	#124	D₄×C₁₃	1	1	yes	characteristic
677	#124	C₂³×C₁₃	1	2	yes	—
678	#124	C₂³×C₁₃	1	2	yes	—
679	#123	—	2	2	no	—
680	#123	—	2	2	no	—
681	#123	—	2	2	no	—
682	#123	—	2	2	no	—
683	#123	—	2	2	no	—
684	#123	—	2	2	no	—
685	#123	—	2	2	no	—
686	#123	—	2	2	no	—
687	#123	—	2	2	no	—
688	#123	D₄×C₁₃	1	2	yes	—
689	C₂²⋊Q₈	—	2	1	no	—
690	C₂²⋊Q₈	—	2	2	no	—
691	C₂²⋊Q₈	—	2	2	no	—
692	C₂²⋊Q₈	—	2	2	no	—
693	C₂²⋊Q₈	—	2	2	no	—
694	C₂²⋊Q₈	—	2	2	no	—
695	C₂²⋊Q₈	—	2	2	no	—
696	C₂²⋊Q₈	—	2	2	no	—
697	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
698	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
699	#121	—	2	1	no	—
700	#121	—	2	2	no	—
701	#121	—	2	2	no	—
702	#121	—	2	1	no	—
703	#121	—	2	1	no	—
704	#121	—	2	1	no	—
705	#121	—	2	1	no	—
706	#121	—	2	1	no	—
707	#121	—	2	2	no	—
708	#121	—	2	2	no	—
709	#121	—	2	1	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	D₄×C₁₃	1	1	yes	characteristic
717	#121	C₂³×C₁₃	1	1	yes	characteristic
718	#121	C₂³×C₁₃	1	1	yes	characteristic
719	#121	C₂³×C₁₃	1	2	yes	—
720	#121	C₂³×C₁₃	1	2	yes	—
721	#121	C₂³×C₁₃	1	2	yes	—
722	#121	C₂³×C₁₃	1	2	yes	—
723	#120	—	2	2	no	—
724	#120	—	2	2	no	—
725	#120	—	2	2	no	—
726	#120	—	2	2	no	—
727	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
728	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
729	C₄×D₄	—	2	2	no	—
730	C₄×D₄	—	2	2	no	—
731	C₄×D₄	—	2	2	no	—
732	C₄×D₄	—	2	1	no	—
733	C₄×D₄	—	2	1	no	—
734	C₄×D₄	—	2	1	no	—
735	C₄×D₄	—	2	1	no	—
736	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
737	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
738	C₄×D₄	C₂³×C₁₃	1	2	yes	—
739	C₄×D₄	C₂³×C₁₃	1	2	yes	—
740	C₄×D₄	C₂³×C₁₃	1	2	yes	—
741	C₄×D₄	C₂³×C₁₃	1	2	yes	—
742	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
743	C₄×D₄	C₂³×C₁₃	1	2	yes	—
744	#117	—	2	1	no	—
745	#117	C₂³×C₁₃	1	2	yes	—
746	#117	C₂³×C₁₃	1	2	yes	—
747	C₂×C₄⋊C₄	—	2	1	no	—
748	C₂×C₄⋊C₄	—	2	1	no	—
749	C₂×C₄⋊C₄	—	2	1	no	—
750	C₂×C₄⋊C₄	—	2	2	no	—
751	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
754	C₂×C₂²⋊C₄	—	2	2	no	—
755	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
756	#107	C₂³×C₁₃	1	2	yes	—
757	#107	C₂³×C₁₃	1	2	yes	—
758	#106	C₂³×C₁₃	1	2	yes	—
759	#106	C₂³×C₁₃	1	2	yes	—
760	#106	C₂³×C₁₃	1	2	yes	—
761	#106	C₂³×C₁₃	1	2	yes	—
762	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
763	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
764	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
765	#103	C₂³×C₁₃	1	2	yes	—
766	#103	C₂³×C₁₃	1	2	yes	—
767	#103	C₂³×C₁₃	1	2	yes	—
768	#103	C₂³×C₁₃	1	2	yes	—
769	#103	C₂³×C₁₃	1	2	yes	—
770	#103	C₂³×C₁₃	1	2	yes	—
771	#102	C₂³×C₁₃	1	2	yes	—
772	#102	C₂³×C₁₃	1	2	yes	—
773	#102	C₂³×C₁₃	1	2	yes	—
774	#102	C₂³×C₁₃	1	2	yes	—
775	#102	C₂³×C₁₃	1	2	yes	—
776	#102	C₂³×C₁₃	1	2	yes	—
777	#102	C₂³×C₁₃	1	2	yes	—
778	#102	C₂³×C₁₃	1	2	yes	—
779	#102	C₂³×C₁₃	1	2	yes	—
780	#102	C₂³×C₁₃	1	2	yes	—
781	#102	C₂³×C₁₃	1	2	yes	—
782	#102	C₂³×C₁₃	1	2	yes	—
783	#102	C₂³×C₁₃	1	2	yes	—
784	#102	C₂³×C₁₃	1	2	yes	—
785	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
788	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
789	#97	C₂³×C₁₃	1	2	yes	—
790	#97	C₂³×C₁₃	1	2	yes	—
791	#97	C₂³×C₁₃	1	2	yes	—
792	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
794	C₄×C₈	C₂³×C₁₃	1	2	yes	—
795	C₂×C₁₃	—	4	1	no	—
796	C₂×C₁₃	—	4	2	no	—
797	C₂×C₁₃	—	8	1	no	—
798	C₂×C₁₃	—	8	2	no	—
799	C₂×C₁₃	—	8	2	no	—
800	C₂×C₁₃	—	8	1	no	—
801	C₂×C₁₃	#3500	1	1	yes	characteristic
802	C₂×C₁₃	#3585	1	1	yes	characteristic
803	C₂×C₁₃	#3585	1	1	yes	characteristic
804	C₂⁴	—	2	2	no	—
805	#41	—	4	2	no	—
806	#41	—	4	2	no	—
807	#41	—	4	2	no	—
808	#41	—	4	2	no	—
809	#41	—	8	2	no	—
810	#41	—	8	2	no	—
811	#41	—	8	4	no	—
812	#41	—	8	2	no	—
813	C₂×Q₈	—	2	2	no	—
814	C₂×Q₈	—	2	1	no	—
815	C₂×Q₈	—	2	1	no	—
816	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
817	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	1	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	2	1	no	—
826	C₂×D₄	—	2	1	no	—
827	C₂×D₄	—	2	1	no	—
828	C₂×D₄	—	2	1	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	1	no	—
831	C₂×D₄	—	2	1	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	2	no	—
834	C₂×D₄	—	2	1	no	—
835	C₂×D₄	—	4	2	no	—
836	C₂×D₄	—	4	2	no	—
837	C₂×D₄	—	8	2	no	—
838	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
839	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
840	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
841	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
842	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
843	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
844	C₂²×C₄	—	2	1	no	—
845	C₂²×C₄	—	2	1	no	—
846	C₂²×C₄	—	2	2	no	—
847	C₂²×C₄	—	2	1	no	—
848	C₂²×C₄	—	2	1	no	—
849	C₂²×C₄	—	2	2	no	—
850	C₂²×C₄	—	2	2	no	—
851	C₂²×C₄	—	2	2	no	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
856	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
859	SD₁₆	—	4	2	no	—
860	SD₁₆	—	4	2	no	—
861	D₈	—	4	2	no	—
862	D₈	—	4	2	no	—
863	D₈	—	4	2	no	—
864	D₈	—	4	2	no	—
865	M₁₆	—	4	2	no	—
866	M₁₆	—	4	2	no	—
867	C₂×C₈	—	4	2	no	—
868	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
869	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
870	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
871	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	1	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	1	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	1	no	—
883	C₄⋊C₄	—	2	1	no	—
884	C₄⋊C₄	—	2	1	no	—
885	C₄⋊C₄	—	2	1	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
889	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
890	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
891	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
892	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
893	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
894	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
895	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
896	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
897	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	1	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	1	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	1	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	1	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	2	no	—
917	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
918	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
919	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
920	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
921	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
922	C₄²	—	2	2	no	—
923	C₄²	—	2	2	no	—
924	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
925	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
926	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₄²	C₂⁴×C₁₃	1	2	yes	—
928	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
929	C₁₃	#62573	1	1	yes	characteristic, direct product factor, Sylow
930	C₂³	—	2	2	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	1	no	—
934	C₂³	—	8	2	no	—
935	C₂³	—	8	2	no	—
936	C₂³	—	8	2	no	—
937	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
938	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
939	Q₈	—	2	2	no	—
940	Q₈	—	2	2	no	—
941	Q₈	—	4	1	no	—
942	Q₈	—	8	1	no	—
943	Q₈	—	8	1	no	—
944	Q₈	—	8	2	no	—
945	D₄	—	2	2	no	—
946	D₄	—	2	2	no	—
947	D₄	—	2	2	no	—
948	D₄	—	2	2	no	—
949	D₄	—	2	2	no	—
950	D₄	—	2	2	no	—
951	D₄	—	4	1	no	—
952	D₄	—	4	2	no	—
953	D₄	—	4	2	no	—
954	D₄	—	4	4	no	—
955	D₄	—	8	2	no	—
956	D₄	—	8	1	no	—
957	D₄	—	8	1	no	—
958	D₄	—	8	1	no	—
959	D₄	—	8	2	no	—
960	D₄	—	8	1	no	—
961	D₄	—	8	1	no	—
962	D₄	—	8	2	no	—
963	D₄	—	8	2	no	—
964	D₄	—	8	2	no	—
965	D₄	—	8	2	no	—
966	D₄	—	8	2	no	—
967	D₄	—	8	1	no	—
968	D₄	—	8	2	no	—
969	D₄	—	8	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	4	1	no	—
980	C₂×C₄	—	4	1	no	—
981	C₂×C₄	—	4	2	no	—
982	C₂×C₄	—	4	2	no	—
983	C₂×C₄	—	4	2	no	—
984	C₂×C₄	—	8	2	no	—
985	C₂×C₄	—	8	2	no	—
986	C₂×C₄	—	8	2	no	—
987	C₂×C₄	—	8	2	no	—
988	C₂×C₄	—	8	2	no	—
989	C₂×C₄	—	8	2	no	—
990	C₂×C₄	—	8	1	no	—
991	C₂×C₄	—	8	2	no	—
992	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
993	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
994	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
995	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
996	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
997	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
998	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
999	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1000	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1001	C₈	—	2	2	no	—
1002	C₈	—	2	2	no	—
1003	C₈	—	2	2	no	—
1004	C₈	—	2	2	no	—
1005	C₂²	—	2	1	no	—
1006	C₂²	—	2	1	no	—
1007	C₂²	—	2	2	no	—
1008	C₂²	—	2	2	no	—
1009	C₂²	—	2	1	no	—
1010	C₂²	—	2	2	no	—
1011	C₂²	—	4	1	no	—
1012	C₂²	—	4	1	no	—
1013	C₂²	—	4	2	no	—
1014	C₂²	—	4	2	no	—
1015	C₂²	—	4	2	no	—
1016	C₂²	—	4	1	no	—
1017	C₂²	—	4	2	no	—
1018	C₂²	—	4	1	no	—
1019	C₂²	—	4	1	no	—
1020	C₂²	—	4	2	no	—
1021	C₂²	—	4	1	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	16	4	no	—
1024	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1025	C₄	—	2	1	no	—
1026	C₄	—	2	1	no	—
1027	C₄	—	2	1	no	—
1028	C₄	—	2	1	no	—
1029	C₄	—	2	2	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	2	1	no	—
1032	C₄	—	2	2	no	—
1033	C₄	—	4	1	no	—
1034	C₄	—	4	2	no	—
1035	C₄	—	4	1	no	—
1036	C₄	—	4	2	no	—
1037	C₄	—	4	2	no	—
1038	C₄	—	4	2	no	—
1039	C₄	C₁₃×#585	1	2	yes	—
1040	C₂	—	4	2	no	—
1041	C₂	—	4	1	no	—
1042	C₂	—	8	1	no	—
1043	C₂	—	8	2	no	—
1044	C₂	—	8	1	no	—
1045	C₂	—	8	2	no	—
1046	C₂	C₁₃×#3500	1	1	yes	characteristic
1047	C₂	C₁₃×#3585	1	1	yes	characteristic
1048	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3559	C₂	semidirect
2. C₁₃×#3546	C₂	semidirect
3. C₁₃×#3376	C₂	semidirect
4. C₁₃×#3366	C₂	semidirect
5. C₁₃×#3332	C₂	semidirect
6. C₁₃×#3322	C₂	semidirect
7. C₁₃×#3318	C₂	semidirect
8. C₁₃×#3309	C₂	semidirect
9. C₁₃×#3307	C₂	semidirect
10. C₁₃×#3306	C₂	semidirect
11. C₁₃×#3244	C₂	semidirect
12. C₁₃×#3234	C₂	semidirect
13. C₁₃×#3220	C₂	semidirect
14. C₁₃×#3214	C₂	semidirect
15. C₁₃×#3184	C₂	semidirect
16. C₁₃×#3179	C₂	semidirect
17. C₁₃×#3142	C₂	semidirect
18. C₁₃×#3136	C₂	semidirect
19. C₁₃×#2967	C₂	semidirect
24. C₁₃×#554	C₂²	semidirect
27. C₁₃×#553	C₂²	semidirect
32. C₁₃×#547	C₂²	semidirect
36. C₁₃×#544	C₂²	semidirect
38. C₁₃×#540	C₂²	semidirect
48. C₁₃×#532	C₂²	semidirect
50. C₂×C₁₃×#125	C₂²	semidirect
51. C₁₃×#501	C₂²	semidirect
52. C₁₃×#498	C₂²	semidirect
53. C₁₃×#496	C₂²	semidirect
55. C₁₃×#491	C₂²	semidirect
58. C₁₃×#490	C₂²	semidirect
60. C₁₃×#489	C₂²	semidirect
62. C₁₃×#488	C₂²	semidirect
63. C₁₃×#488	C₂²	semidirect
65. C₁₃×#486	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#483	C₂²	semidirect
72. C₁₃×#481	C₂²	semidirect
74. C₁₃×#480	C₂²	semidirect
75. C₁₃×#479	C₂²	semidirect
77. C₁₃×#478	C₂²	semidirect
78. C₁₃×#478	C₂²	semidirect
79. C₁₃×#476	C₂²	semidirect
80. C₁₃×#475	C₂²	semidirect
83. C₁₃×#469	C₂²	semidirect
84. C₁₃×#468	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
89. C₁₃×#461	C₂²	semidirect
91. C₁₃×#459	C₂²	semidirect
92. C₁₃×#459	C₂²	semidirect
93. C₁₃×#449	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
99. C₁₃×#446	C₂²	semidirect
101. C₁₃×#442	C₂²	semidirect
102. C₁₃×#442	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₄×C₁₃×SD₁₆	C₂²	semidirect
105. C₄×C₁₃×D₈	C₂²	semidirect
106. C₁₃×#436	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
110. C₁₃×#432	C₂²	semidirect
112. C₁₃×#417	C₂²	semidirect
113. C₁₃×#417	C₂²	semidirect
114. C₁₃×#417	C₂²	semidirect
115. C₁₃×#416	C₂²	semidirect
117. C₁₃×#405	C₂²	semidirect
118. C₄×C₁₃×M₁₆	C₂²	semidirect
280. #62573	C₁₃	direct (N × H)
406. #3559	C₂×C₁₃	semidirect
407. #3546	C₂×C₁₃	semidirect
408. #3376	C₂×C₁₃	semidirect
409. #3366	C₂×C₁₃	semidirect
410. #3332	C₂×C₁₃	semidirect
411. #3322	C₂×C₁₃	semidirect
412. #3318	C₂×C₁₃	semidirect
413. #3309	C₂×C₁₃	semidirect
414. #3307	C₂×C₁₃	semidirect
415. #3306	C₂×C₁₃	semidirect
416. #3244	C₂×C₁₃	semidirect
417. #3234	C₂×C₁₃	semidirect
418. #3220	C₂×C₁₃	semidirect
419. #3214	C₂×C₁₃	semidirect
420. #3184	C₂×C₁₃	semidirect
421. #3179	C₂×C₁₃	semidirect
422. #3142	C₂×C₁₃	semidirect
423. #3136	C₂×C₁₃	semidirect
424. #2967	C₂×C₁₃	semidirect
504. #554	C₂²×C₁₃	semidirect
507. #553	C₂²×C₁₃	semidirect
512. #547	C₂²×C₁₃	semidirect
516. #544	C₂²×C₁₃	semidirect
518. #540	C₂²×C₁₃	semidirect
528. #532	C₂²×C₁₃	semidirect
530. C₂×#125	C₂²×C₁₃	semidirect
531. #501	C₂²×C₁₃	semidirect
532. #498	C₂²×C₁₃	semidirect
533. #496	C₂²×C₁₃	semidirect
535. #491	C₂²×C₁₃	semidirect
538. #490	C₂²×C₁₃	semidirect
540. #489	C₂²×C₁₃	semidirect
542. #488	C₂²×C₁₃	semidirect
543. #488	C₂²×C₁₃	semidirect
545. #486	C₂²×C₁₃	semidirect
546. #486	C₂²×C₁₃	semidirect
547. #485	C₂²×C₁₃	semidirect
548. #483	C₂²×C₁₃	semidirect
552. #481	C₂²×C₁₃	semidirect
554. #480	C₂²×C₁₃	semidirect
555. #479	C₂²×C₁₃	semidirect
557. #478	C₂²×C₁₃	semidirect
558. #478	C₂²×C₁₃	semidirect
559. #476	C₂²×C₁₃	semidirect
560. #475	C₂²×C₁₃	semidirect
563. #469	C₂²×C₁₃	semidirect
564. #468	C₂²×C₁₃	semidirect
566. #465	C₂²×C₁₃	semidirect
569. #461	C₂²×C₁₃	semidirect
571. #459	C₂²×C₁₃	semidirect
572. #459	C₂²×C₁₃	semidirect
573. #449	C₂²×C₁₃	semidirect
574. #449	C₂²×C₁₃	semidirect
575. #449	C₂²×C₁₃	semidirect
576. #449	C₂²×C₁₃	semidirect
579. #446	C₂²×C₁₃	semidirect
581. #442	C₂²×C₁₃	semidirect
582. #442	C₂²×C₁₃	semidirect
583. #440	C₂²×C₁₃	semidirect
584. C₄×SD₁₆	C₂²×C₁₃	semidirect
585. C₄×D₈	C₂²×C₁₃	semidirect
586. #436	C₂²×C₁₃	semidirect
588. #435	C₂²×C₁₃	semidirect
589. #433	C₂²×C₁₃	semidirect
590. #432	C₂²×C₁₃	semidirect
592. #417	C₂²×C₁₃	semidirect
593. #417	C₂²×C₁₃	semidirect
594. #417	C₂²×C₁₃	semidirect
595. #416	C₂²×C₁₃	semidirect
597. #405	C₂²×C₁₃	semidirect
598. C₄×M₁₆	C₂²×C₁₃	semidirect
929. C₁₃	#62573	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×#3559	2
C₁₃×#3546	2
C₁₃×#3376	2
C₁₃×#3366	2
C₁₃×#3332	2
C₁₃×#3322	2
C₁₃×#3318	2
C₁₃×#3309	2
C₁₃×#3307	2
C₁₃×#3306	2
C₁₃×#3244	2
C₁₃×#3234	2
C₁₃×#3220	2
C₁₃×#3214	2
C₁₃×#3184	2
C₁₃×#3179	2
C₁₃×#3142	2
C₁₃×#3136	2
C₁₃×#2967	2
#62573	13

Subgroups — C13×#62573 #15748912

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62573 #15748912