Subgroups — C₁₃×#61945 #15748284

Order 3328.

1766 conjugacy classes of subgroups.

The subgroup lattice has 964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3399	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3397	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3368	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3366	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3222	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3217	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3123	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3122	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3111	C₂	1	2	yes	maximal, complemented
19	C₁₃×#2987	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#563	—	2	2	no	—
21	C₁₃×#559	C₂²	1	2	yes	—
22	C₁₃×#559	C₂²	1	2	yes	—
23	C₁₃×#559	C₂²	1	2	yes	complemented
24	C₁₃×#557	C₂²	1	2	yes	complemented
25	C₁₃×#556	C₂²	1	2	yes	complemented
26	C₁₃×#554	C₂²	1	2	yes	complemented
27	C₁₃×#552	—	2	2	no	—
28	C₁₃×#550	C₂²	1	2	yes	—
29	C₁₃×#550	C₂²	1	2	yes	—
30	C₁₃×#546	—	2	2	no	—
31	C₁₃×#546	—	2	2	no	—
32	C₁₃×#542	—	2	2	no	—
33	C₁₃×#542	C₂²	1	2	yes	—
34	C₁₃×#541	C₂²	1	1	yes	characteristic
35	C₁₃×#540	—	2	2	no	—
36	C₁₃×#540	C₂²	1	1	yes	characteristic
37	C₁₃×#539	—	2	2	no	—
38	C₁₃×#535	C₂²	1	1	yes	characteristic
39	C₁₃×#535	C₂²	1	1	yes	characteristic
40	C₁₃×#533	C₂²	1	1	yes	characteristic
41	C₁₃×#532	—	2	2	no	—
42	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
43	C₁₃×#529	C₂²	1	2	yes	—
44	C₁₃×#518	C₂²	1	1	yes	characteristic
45	C₁₃×#518	C₂²	1	1	yes	characteristic
46	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
47	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#496	C₂²	1	2	yes	—
49	C₁₃×#496	C₂²	1	2	yes	—
50	C₁₃×#496	C₂²	1	2	yes	complemented
51	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#495	C₂²	1	2	yes	complemented
53	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#490	C₂²	1	2	yes	—
56	C₁₃×#490	C₂²	1	2	yes	—
57	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#486	C₂²	1	2	yes	complemented
63	C₁₃×#485	C₂²	1	2	yes	—
64	C₁₃×#482	C₂²	1	2	yes	—
65	C₁₃×#479	C₂²	1	2	yes	complemented
66	C₁₃×#478	C₂²	1	2	yes	complemented
67	C₁₃×#478	C₂²	1	2	yes	complemented
68	C₁₃×#478	C₂²	1	2	yes	complemented
69	C₁₃×#476	C₂²	1	2	yes	complemented
70	C₁₃×#474	C₂²	1	2	yes	complemented
71	C₁₃×#464	C₂²	1	2	yes	complemented
72	C₁₃×#464	C₂²	1	2	yes	complemented
73	C₁₃×#464	C₂²	1	2	yes	complemented
74	C₁₃×#463	C₂²	1	2	yes	complemented
75	C₁₃×#463	C₂²	1	2	yes	complemented
76	C₁₃×#463	C₂²	1	2	yes	complemented
77	C₁₃×#463	C₂²	1	2	yes	complemented
78	C₁₃×#463	C₂²	1	2	yes	complemented
79	C₁₃×#461	C₂²	1	2	yes	complemented
80	C₁₃×#460	C₂²	1	2	yes	—
81	C₁₃×#460	C₂²	1	2	yes	—
82	C₁₃×#460	C₂²	1	2	yes	complemented
83	C₁₃×#460	C₂²	1	2	yes	complemented
84	C₁₃×#459	C₂²	1	2	yes	—
85	C₁₃×#459	C₂²	1	2	yes	—
86	C₁₃×#459	C₂²	1	2	yes	complemented
87	C₁₃×#459	C₂²	1	2	yes	complemented
88	C₁₃×#459	C₂²	1	2	yes	complemented
89	C₁₃×#452	C₂²	1	2	yes	—
90	C₁₃×#450	C₂²	1	2	yes	—
91	C₁₃×#450	C₂²	1	2	yes	—
92	C₁₃×#449	C₂²	1	2	yes	—
93	C₁₃×#447	C₂²	1	2	yes	—
94	C₁₃×#447	C₂²	1	2	yes	—
95	C₁₃×#446	C₂²	1	2	yes	complemented
96	C₁₃×#446	C₂²	1	2	yes	complemented
97	C₁₃×#446	C₂²	1	2	yes	complemented
98	C₁₃×#446	C₂²	1	2	yes	complemented
99	C₁₃×#442	C₂²	1	2	yes	complemented
100	C₁₃×#442	C₂²	1	2	yes	complemented
101	C₁₃×#442	C₂²	1	2	yes	complemented
102	C₁₃×#441	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₁₃×#440	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	complemented
106	C₁₃×#440	C₂²	1	2	yes	complemented
107	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
108	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
110	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
111	C₁₃×#433	C₂²	1	2	yes	—
112	C₁₃×#433	C₂²	1	1	yes	characteristic
113	C₁₃×#433	C₂²	1	1	yes	characteristic
114	C₁₃×#432	C₂²	1	2	yes	—
115	C₂×C₁₃×#41	—	2	2	no	—
116	C₂×C₁₃×#41	—	2	2	no	—
117	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
118	C₂²×D₄×C₁₃	—	2	2	no	—
119	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
121	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
122	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
123	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
124	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
125	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
126	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
127	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
128	C₂×C₁₃×D₈	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	C₁₃×C₄⋊Q₈	—	2	2	no	—
134	C₁₃×C₄⋊Q₈	D₄	1	2	yes	—
135	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
136	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
137	C₁₃×#127	—	2	1	no	—
138	C₁₃×#127	—	2	1	no	—
139	C₁₃×#127	C₂³	1	2	yes	—
140	C₁₃×#127	C₂³	1	2	yes	—
141	C₁₃×#127	C₂³	1	1	yes	characteristic
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×#126	—	2	2	no	—
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×#125	—	2	2	no	—
151	C₁₃×#125	—	2	2	no	—
152	C₁₃×#125	—	2	2	no	—
153	C₁₃×#125	D₄	1	2	yes	—
154	C₁₃×#125	C₂³	1	1	yes	characteristic
155	C₁₃×#125	C₂³	1	1	yes	characteristic
156	C₁₃×#125	C₂³	1	2	yes	—
157	C₁₃×#124	—	2	2	no	—
158	C₁₃×#124	—	2	2	no	—
159	C₁₃×#124	—	2	2	no	—
160	C₁₃×#124	—	2	2	no	—
161	C₁₃×#124	C₂³	1	1	yes	characteristic
162	C₁₃×#124	C₂³	1	2	yes	—
163	C₁₃×#124	C₂³	1	2	yes	—
164	C₁₃×#124	C₂³	1	2	yes	—
165	C₁₃×#124	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
174	C₁₃×#123	—	2	2	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	D₄	1	2	yes	—
181	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
182	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
183	C₁₃×#121	—	2	2	no	—
184	C₁₃×#121	—	2	2	no	—
185	C₁₃×#121	—	2	2	no	—
186	C₁₃×#121	—	2	2	no	—
187	C₁₃×#121	—	2	2	no	—
188	C₁₃×#121	—	2	2	no	—
189	C₁₃×#121	—	2	2	no	—
190	C₁₃×#121	—	2	2	no	—
191	C₁₃×#121	—	2	2	no	—
192	C₁₃×#121	C₂³	1	2	yes	—
193	C₁₃×#120	—	2	2	no	—
194	C₁₃×#120	—	2	1	no	—
195	C₁₃×#120	—	2	1	no	—
196	C₄×Q₈×C₁₃	—	2	2	no	—
197	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
198	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
199	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
200	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
201	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
202	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
203	C₄×D₄×C₁₃	—	2	2	no	—
204	C₄×D₄×C₁₃	—	2	2	no	—
205	C₄×D₄×C₁₃	—	2	2	no	—
206	C₄×D₄×C₁₃	—	2	2	no	—
207	C₄×D₄×C₁₃	—	2	2	no	—
208	C₄×D₄×C₁₃	—	2	2	no	—
209	C₄×D₄×C₁₃	—	2	2	no	—
210	C₄×D₄×C₁₃	C₂³	1	2	yes	—
211	C₄×D₄×C₁₃	C₂³	1	2	yes	—
212	C₄×D₄×C₁₃	C₂³	1	2	yes	—
213	C₄×D₄×C₁₃	C₂³	1	2	yes	—
214	C₄×D₄×C₁₃	C₂³	1	2	yes	—
215	C₄×D₄×C₁₃	C₂³	1	2	yes	—
216	C₄×D₄×C₁₃	C₂³	1	2	yes	—
217	C₄×D₄×C₁₃	C₂³	1	2	yes	—
218	C₁₃×#117	—	2	2	no	—
219	C₁₃×#117	—	2	1	no	—
220	C₁₃×#117	—	2	2	no	—
221	C₁₃×#117	C₂³	1	1	yes	characteristic
222	C₁₃×#117	C₂³	1	1	yes	characteristic
223	C₁₃×#117	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
225	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
226	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
227	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
228	C₂×C₄²×C₁₃	—	2	1	no	—
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₁₃×#107	C₂³	1	2	yes	—
231	C₁₃×#107	C₂³	1	2	yes	—
232	C₁₃×#106	C₂³	1	2	yes	—
233	C₁₃×#106	C₂³	1	2	yes	—
234	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
235	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
236	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
237	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
238	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
239	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
240	C₁₃×#103	C₂³	1	2	yes	—
241	C₁₃×#103	C₂³	1	2	yes	—
242	C₁₃×#103	C₂³	1	2	yes	—
243	C₁₃×#103	C₂³	1	2	yes	—
244	C₁₃×#102	C₂³	1	2	yes	—
245	C₁₃×#102	C₂³	1	2	yes	—
246	C₁₃×#102	C₂³	1	2	yes	—
247	C₁₃×#102	C₂³	1	2	yes	—
248	C₁₃×#102	C₂³	1	2	yes	—
249	C₁₃×#102	C₂³	1	2	yes	—
250	C₁₃×#102	C₂³	1	2	yes	—
251	C₁₃×#102	C₂³	1	2	yes	—
252	C₁₃×#102	C₂³	1	2	yes	—
253	C₁₃×#102	C₂³	1	2	yes	—
254	C₁₃×#102	C₂³	1	2	yes	—
255	C₁₃×#102	C₂³	1	2	yes	—
256	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
257	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
258	C₁₃×#97	C₂³	1	2	yes	—
259	C₁₃×#97	C₂³	1	2	yes	—
260	C₁₃×#97	C₂³	1	1	yes	characteristic
261	C₁₃×#97	C₂³	1	2	yes	—
262	C₁₃×#97	C₂³	1	1	yes	characteristic
263	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×C₈×C₁₃	C₂³	1	2	yes	—
265	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
266	#61945	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
267	C₂⁴×C₁₃	—	2	1	no	—
268	C₂⁴×C₁₃	—	2	1	no	—
269	C₁₃×#41	—	4	2	no	—
270	C₁₃×#41	—	8	4	no	—
271	C₁₃×#41	—	8	4	no	—
272	C₂×Q₈×C₁₃	—	2	2	no	—
273	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
274	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
275	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
276	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
277	C₂×D₄×C₁₃	—	2	1	no	—
278	C₂×D₄×C₁₃	—	2	2	no	—
279	C₂×D₄×C₁₃	—	2	1	no	—
280	C₂×D₄×C₁₃	—	2	1	no	—
281	C₂×D₄×C₁₃	—	2	2	no	—
282	C₂×D₄×C₁₃	—	2	2	no	—
283	C₂×D₄×C₁₃	—	2	2	no	—
284	C₂×D₄×C₁₃	—	2	2	no	—
285	C₂×D₄×C₁₃	—	2	2	no	—
286	C₂×D₄×C₁₃	—	2	2	no	—
287	C₂×D₄×C₁₃	—	2	2	no	—
288	C₂×D₄×C₁₃	—	2	2	no	—
289	C₂×D₄×C₁₃	—	2	2	no	—
290	C₂×D₄×C₁₃	—	4	2	no	—
291	C₂×D₄×C₁₃	—	4	2	no	—
292	C₂×D₄×C₁₃	—	8	4	no	—
293	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
294	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
295	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
296	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
297	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃	—	2	1	no	—
299	C₂²×C₄×C₁₃	—	2	2	no	—
300	C₂²×C₄×C₁₃	—	2	2	no	—
301	C₂²×C₄×C₁₃	—	2	2	no	—
302	C₂²×C₄×C₁₃	—	2	2	no	—
303	C₂²×C₄×C₁₃	—	2	2	no	—
304	C₂²×C₄×C₁₃	—	2	2	no	—
305	C₂²×C₄×C₁₃	—	2	2	no	—
306	C₂²×C₄×C₁₃	—	2	2	no	—
307	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
308	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
309	C₁₃×Q₁₆	—	4	2	no	—
310	C₁₃×SD₁₆	—	4	2	no	—
311	C₁₃×SD₁₆	—	4	2	no	—
312	C₁₃×SD₁₆	—	4	2	no	—
313	C₁₃×SD₁₆	—	4	2	no	—
314	C₁₃×SD₁₆	—	4	2	no	—
315	C₁₃×SD₁₆	—	4	2	no	—
316	C₁₃×D₈	—	4	2	no	—
317	C₁₃×D₈	—	4	2	no	—
318	C₁₃×D₈	—	4	2	no	—
319	C₁₃×D₈	—	4	2	no	—
320	C₁₃×D₈	—	4	2	no	—
321	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
322	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
323	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
324	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
325	C₁₃×C₄⋊C₄	—	2	2	no	—
326	C₁₃×C₄⋊C₄	—	2	2	no	—
327	C₁₃×C₄⋊C₄	—	2	2	no	—
328	C₁₃×C₄⋊C₄	—	2	2	no	—
329	C₁₃×C₄⋊C₄	—	2	2	no	—
330	C₁₃×C₄⋊C₄	—	2	2	no	—
331	C₁₃×C₄⋊C₄	—	2	2	no	—
332	C₁₃×C₄⋊C₄	—	2	2	no	—
333	C₁₃×C₄⋊C₄	—	2	2	no	—
334	C₁₃×C₄⋊C₄	—	2	2	no	—
335	C₁₃×C₄⋊C₄	—	2	2	no	—
336	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
337	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
338	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
339	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
340	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
341	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
342	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
343	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
344	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
345	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
346	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
347	C₁₃×C₂²⋊C₄	—	2	1	no	—
348	C₁₃×C₂²⋊C₄	—	2	2	no	—
349	C₁₃×C₂²⋊C₄	—	2	2	no	—
350	C₁₃×C₂²⋊C₄	—	2	2	no	—
351	C₁₃×C₂²⋊C₄	—	2	2	no	—
352	C₁₃×C₂²⋊C₄	—	2	2	no	—
353	C₁₃×C₂²⋊C₄	—	2	2	no	—
354	C₁₃×C₂²⋊C₄	—	2	2	no	—
355	C₁₃×C₂²⋊C₄	—	2	2	no	—
356	C₁₃×C₂²⋊C₄	—	2	2	no	—
357	C₁₃×C₂²⋊C₄	—	2	2	no	—
358	C₁₃×C₂²⋊C₄	—	2	2	no	—
359	C₁₃×C₂²⋊C₄	—	2	2	no	—
360	C₁₃×C₂²⋊C₄	—	2	2	no	—
361	C₁₃×C₂²⋊C₄	—	2	2	no	—
362	C₁₃×C₂²⋊C₄	—	2	2	no	—
363	C₁₃×C₂²⋊C₄	—	2	2	no	—
364	C₁₃×C₂²⋊C₄	—	2	2	no	—
365	C₁₃×C₂²⋊C₄	—	2	2	no	—
366	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
367	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
368	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
369	C₄²×C₁₃	—	2	1	no	—
370	C₄²×C₁₃	—	2	2	no	—
371	C₄²×C₁₃	—	2	2	no	—
372	C₄²×C₁₃	—	2	2	no	—
373	C₄²×C₁₃	—	2	2	no	—
374	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₄²×C₁₃	C₂⁴	1	2	yes	—
378	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₄²×C₁₃	C₂⁴	1	2	yes	—
380	#3557	C₂×C₁₃	1	1	yes	characteristic, complemented
381	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
382	#3403	C₂×C₁₃	1	2	yes	complemented
383	#3401	C₂×C₁₃	1	2	yes	complemented
384	#3399	C₂×C₁₃	1	2	yes	complemented
385	#3397	C₂×C₁₃	1	2	yes	complemented
386	#3371	C₂×C₁₃	1	2	yes	complemented
387	#3370	C₂×C₁₃	1	2	yes	complemented
388	#3368	C₂×C₁₃	1	2	yes	complemented
389	#3366	C₂×C₁₃	1	2	yes	complemented
390	#3224	C₂×C₁₃	1	2	yes	complemented
391	#3222	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#3220	C₂×C₁₃	1	1	yes	characteristic, complemented
393	#3217	C₂×C₁₃	1	2	yes	complemented
394	#3123	C₂×C₁₃	1	1	yes	characteristic, complemented
395	#3122	C₂×C₁₃	1	1	yes	characteristic, complemented
396	#3118	C₂×C₁₃	1	2	yes	complemented
397	#3111	C₂×C₁₃	1	2	yes	complemented
398	#2987	C₂×C₁₃	1	1	yes	characteristic, complemented
399	C₂³×C₁₃	—	2	2	no	—
400	C₂³×C₁₃	—	2	2	no	—
401	C₂³×C₁₃	—	2	1	no	—
402	C₂³×C₁₃	—	2	1	no	—
403	C₂³×C₁₃	—	2	1	no	—
404	C₂³×C₁₃	—	4	2	no	—
405	C₂³×C₁₃	—	4	2	no	—
406	C₂³×C₁₃	—	8	2	no	—
407	C₂³×C₁₃	—	8	2	no	—
408	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
409	Q₈×C₁₃	—	2	2	no	—
410	Q₈×C₁₃	—	2	2	no	—
411	Q₈×C₁₃	—	2	2	no	—
412	Q₈×C₁₃	—	4	2	no	—
413	Q₈×C₁₃	—	4	2	no	—
414	Q₈×C₁₃	—	8	2	no	—
415	D₄×C₁₃	—	2	2	no	—
416	D₄×C₁₃	—	2	2	no	—
417	D₄×C₁₃	—	2	2	no	—
418	D₄×C₁₃	—	2	2	no	—
419	D₄×C₁₃	—	2	2	no	—
420	D₄×C₁₃	—	2	2	no	—
421	D₄×C₁₃	—	2	2	no	—
422	D₄×C₁₃	—	4	2	no	—
423	D₄×C₁₃	—	4	2	no	—
424	D₄×C₁₃	—	4	4	no	—
425	D₄×C₁₃	—	4	4	no	—
426	D₄×C₁₃	—	4	2	no	—
427	D₄×C₁₃	—	8	2	no	—
428	D₄×C₁₃	—	8	2	no	—
429	D₄×C₁₃	—	8	2	no	—
430	D₄×C₁₃	—	8	2	no	—
431	D₄×C₁₃	—	8	2	no	—
432	D₄×C₁₃	—	8	2	no	—
433	D₄×C₁₃	—	8	2	no	—
434	D₄×C₁₃	—	8	2	no	—
435	C₂×C₄×C₁₃	—	2	2	no	—
436	C₂×C₄×C₁₃	—	2	2	no	—
437	C₂×C₄×C₁₃	—	2	1	no	—
438	C₂×C₄×C₁₃	—	2	2	no	—
439	C₂×C₄×C₁₃	—	2	2	no	—
440	C₂×C₄×C₁₃	—	2	2	no	—
441	C₂×C₄×C₁₃	—	4	2	no	—
442	C₂×C₄×C₁₃	—	4	2	no	—
443	C₂×C₄×C₁₃	—	4	4	no	—
444	C₂×C₄×C₁₃	—	8	2	no	—
445	C₂×C₄×C₁₃	—	8	2	no	—
446	C₂×C₄×C₁₃	—	8	2	no	—
447	C₂×C₄×C₁₃	—	8	2	no	—
448	C₂×C₄×C₁₃	—	8	2	no	—
449	C₂×C₄×C₁₃	—	8	2	no	—
450	C₂×C₄×C₁₃	—	8	2	no	—
451	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
452	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
453	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
454	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
455	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
456	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
457	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
458	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
459	C₈×C₁₃	—	2	2	no	—
460	C₈×C₁₃	—	2	2	no	—
461	C₈×C₁₃	—	2	2	no	—
462	C₈×C₁₃	—	2	2	no	—
463	#563	—	2	2	no	—
464	#559	C₂²×C₁₃	1	2	yes	—
465	#559	C₂²×C₁₃	1	2	yes	—
466	#559	C₂²×C₁₃	1	2	yes	complemented
467	#557	C₂²×C₁₃	1	2	yes	complemented
468	#556	C₂²×C₁₃	1	2	yes	complemented
469	#554	C₂²×C₁₃	1	2	yes	complemented
470	#552	—	2	2	no	—
471	#550	C₂²×C₁₃	1	2	yes	—
472	#550	C₂²×C₁₃	1	2	yes	—
473	#546	—	2	2	no	—
474	#546	—	2	2	no	—
475	#542	—	2	2	no	—
476	#542	C₂²×C₁₃	1	2	yes	—
477	#541	C₂²×C₁₃	1	1	yes	characteristic
478	#540	—	2	2	no	—
479	#540	C₂²×C₁₃	1	1	yes	characteristic
480	#539	—	2	2	no	—
481	#535	C₂²×C₁₃	1	1	yes	characteristic
482	#535	C₂²×C₁₃	1	1	yes	characteristic
483	#533	C₂²×C₁₃	1	1	yes	characteristic
484	#532	—	2	2	no	—
485	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
486	#529	C₂²×C₁₃	1	2	yes	—
487	#518	C₂²×C₁₃	1	1	yes	characteristic
488	#518	C₂²×C₁₃	1	1	yes	characteristic
489	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
490	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
491	#496	C₂²×C₁₃	1	2	yes	—
492	#496	C₂²×C₁₃	1	2	yes	—
493	#496	C₂²×C₁₃	1	2	yes	complemented
494	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
495	#495	C₂²×C₁₃	1	2	yes	complemented
496	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
497	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
498	#490	C₂²×C₁₃	1	2	yes	—
499	#490	C₂²×C₁₃	1	2	yes	—
500	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
501	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
502	#489	C₂²×C₁₃	1	2	yes	complemented
503	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
504	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
505	#486	C₂²×C₁₃	1	2	yes	complemented
506	#485	C₂²×C₁₃	1	2	yes	—
507	#482	C₂²×C₁₃	1	2	yes	—
508	#479	C₂²×C₁₃	1	2	yes	complemented
509	#478	C₂²×C₁₃	1	2	yes	complemented
510	#478	C₂²×C₁₃	1	2	yes	complemented
511	#478	C₂²×C₁₃	1	2	yes	complemented
512	#476	C₂²×C₁₃	1	2	yes	complemented
513	#474	C₂²×C₁₃	1	2	yes	complemented
514	#464	C₂²×C₁₃	1	2	yes	complemented
515	#464	C₂²×C₁₃	1	2	yes	complemented
516	#464	C₂²×C₁₃	1	2	yes	complemented
517	#463	C₂²×C₁₃	1	2	yes	complemented
518	#463	C₂²×C₁₃	1	2	yes	complemented
519	#463	C₂²×C₁₃	1	2	yes	complemented
520	#463	C₂²×C₁₃	1	2	yes	complemented
521	#463	C₂²×C₁₃	1	2	yes	complemented
522	#461	C₂²×C₁₃	1	2	yes	complemented
523	#460	C₂²×C₁₃	1	2	yes	—
524	#460	C₂²×C₁₃	1	2	yes	—
525	#460	C₂²×C₁₃	1	2	yes	complemented
526	#460	C₂²×C₁₃	1	2	yes	complemented
527	#459	C₂²×C₁₃	1	2	yes	—
528	#459	C₂²×C₁₃	1	2	yes	—
529	#459	C₂²×C₁₃	1	2	yes	complemented
530	#459	C₂²×C₁₃	1	2	yes	complemented
531	#459	C₂²×C₁₃	1	2	yes	complemented
532	#452	C₂²×C₁₃	1	2	yes	—
533	#450	C₂²×C₁₃	1	2	yes	—
534	#450	C₂²×C₁₃	1	2	yes	—
535	#449	C₂²×C₁₃	1	2	yes	—
536	#447	C₂²×C₁₃	1	2	yes	—
537	#447	C₂²×C₁₃	1	2	yes	—
538	#446	C₂²×C₁₃	1	2	yes	complemented
539	#446	C₂²×C₁₃	1	2	yes	complemented
540	#446	C₂²×C₁₃	1	2	yes	complemented
541	#446	C₂²×C₁₃	1	2	yes	complemented
542	#442	C₂²×C₁₃	1	2	yes	complemented
543	#442	C₂²×C₁₃	1	2	yes	complemented
544	#442	C₂²×C₁₃	1	2	yes	complemented
545	#441	C₂²×C₁₃	1	2	yes	complemented
546	#440	C₂²×C₁₃	1	2	yes	complemented
547	#440	C₂²×C₁₃	1	2	yes	complemented
548	#440	C₂²×C₁₃	1	2	yes	complemented
549	#440	C₂²×C₁₃	1	2	yes	complemented
550	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
551	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
552	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
553	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
554	#433	C₂²×C₁₃	1	2	yes	—
555	#433	C₂²×C₁₃	1	1	yes	characteristic
556	#433	C₂²×C₁₃	1	1	yes	characteristic
557	#432	C₂²×C₁₃	1	2	yes	—
558	C₂²×C₁₃	—	2	2	no	—
559	C₂²×C₁₃	—	2	1	no	—
560	C₂²×C₁₃	—	4	2	no	—
561	C₂²×C₁₃	—	4	2	no	—
562	C₂²×C₁₃	—	4	2	no	—
563	C₂²×C₁₃	—	4	2	no	—
564	C₂²×C₁₃	—	4	2	no	—
565	C₂²×C₁₃	—	4	2	no	—
566	C₂²×C₁₃	—	4	2	no	—
567	C₂²×C₁₃	—	4	1	no	—
568	C₂²×C₁₃	—	4	2	no	—
569	C₂²×C₁₃	—	4	1	no	—
570	C₂²×C₁₃	—	4	1	no	—
571	C₂²×C₁₃	—	4	2	no	—
572	C₂²×C₁₃	—	16	2	no	—
573	C₂²×C₁₃	—	16	2	no	—
574	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
575	C₄×C₁₃	—	2	2	no	—
576	C₄×C₁₃	—	2	2	no	—
577	C₄×C₁₃	—	2	2	no	—
578	C₄×C₁₃	—	2	2	no	—
579	C₄×C₁₃	—	2	2	no	—
580	C₄×C₁₃	—	2	2	no	—
581	C₄×C₁₃	—	2	1	no	—
582	C₄×C₁₃	—	4	2	no	—
583	C₄×C₁₃	—	4	2	no	—
584	C₄×C₁₃	—	4	2	no	—
585	C₄×C₁₃	—	4	1	no	—
586	C₄×C₁₃	—	4	2	no	—
587	C₄×C₁₃	#585	1	2	yes	—
588	C₂×#41	—	2	2	no	—
589	C₂×#41	—	2	2	no	—
590	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
591	C₂²×D₄	—	2	2	no	—
592	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
593	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
594	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
595	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
596	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
597	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
598	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
599	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
600	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
601	C₂×D₈	C₂³×C₁₃	1	2	yes	—
602	C₂×D₈	C₂³×C₁₃	1	2	yes	—
603	C₂×D₈	C₂³×C₁₃	1	2	yes	—
604	C₂×D₈	C₂³×C₁₃	1	2	yes	—
605	C₂×D₈	C₂³×C₁₃	1	2	yes	—
606	C₄⋊Q₈	—	2	2	no	—
607	C₄⋊Q₈	D₄×C₁₃	1	2	yes	—
608	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
609	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
610	#127	—	2	1	no	—
611	#127	—	2	1	no	—
612	#127	C₂³×C₁₃	1	2	yes	—
613	#127	C₂³×C₁₃	1	2	yes	—
614	#127	C₂³×C₁₃	1	1	yes	characteristic
615	#127	C₂³×C₁₃	1	2	yes	—
616	#127	C₂³×C₁₃	1	1	yes	characteristic
617	#127	C₂³×C₁₃	1	1	yes	characteristic
618	#126	—	2	2	no	—
619	#126	—	2	2	no	—
620	#126	—	2	2	no	—
621	#126	—	2	2	no	—
622	#126	—	2	2	no	—
623	#125	—	2	2	no	—
624	#125	—	2	2	no	—
625	#125	—	2	2	no	—
626	#125	D₄×C₁₃	1	2	yes	—
627	#125	C₂³×C₁₃	1	2	yes	—
628	#125	C₂³×C₁₃	1	1	yes	characteristic
629	#125	C₂³×C₁₃	1	1	yes	characteristic
630	#124	—	2	2	no	—
631	#124	—	2	2	no	—
632	#124	—	2	2	no	—
633	#124	—	2	2	no	—
634	#124	C₂³×C₁₃	1	2	yes	—
635	#124	C₂³×C₁₃	1	1	yes	characteristic
636	#124	C₂³×C₁₃	1	2	yes	—
637	#124	C₂³×C₁₃	1	1	yes	characteristic
638	#124	C₂³×C₁₃	1	2	yes	—
639	#123	—	2	2	no	—
640	#123	—	2	2	no	—
641	#123	—	2	2	no	—
642	#123	—	2	2	no	—
643	#123	—	2	2	no	—
644	#123	—	2	2	no	—
645	#123	—	2	2	no	—
646	#123	—	2	2	no	—
647	#123	—	2	2	no	—
648	C₂²⋊Q₈	—	2	2	no	—
649	C₂²⋊Q₈	—	2	2	no	—
650	C₂²⋊Q₈	—	2	2	no	—
651	C₂²⋊Q₈	—	2	2	no	—
652	C₂²⋊Q₈	—	2	2	no	—
653	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
654	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
655	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
656	#121	—	2	2	no	—
657	#121	—	2	2	no	—
658	#121	—	2	2	no	—
659	#121	—	2	2	no	—
660	#121	—	2	2	no	—
661	#121	—	2	2	no	—
662	#121	—	2	2	no	—
663	#121	—	2	2	no	—
664	#121	—	2	2	no	—
665	#121	C₂³×C₁₃	1	2	yes	—
666	#120	—	2	2	no	—
667	#120	—	2	1	no	—
668	#120	—	2	1	no	—
669	C₄×Q₈	—	2	2	no	—
670	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
671	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
672	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
673	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
674	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
675	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
676	C₄×D₄	—	2	2	no	—
677	C₄×D₄	—	2	2	no	—
678	C₄×D₄	—	2	2	no	—
679	C₄×D₄	—	2	2	no	—
680	C₄×D₄	—	2	2	no	—
681	C₄×D₄	—	2	2	no	—
682	C₄×D₄	—	2	2	no	—
683	C₄×D₄	C₂³×C₁₃	1	2	yes	—
684	C₄×D₄	C₂³×C₁₃	1	2	yes	—
685	C₄×D₄	C₂³×C₁₃	1	2	yes	—
686	C₄×D₄	C₂³×C₁₃	1	2	yes	—
687	C₄×D₄	C₂³×C₁₃	1	2	yes	—
688	C₄×D₄	C₂³×C₁₃	1	2	yes	—
689	C₄×D₄	C₂³×C₁₃	1	2	yes	—
690	C₄×D₄	C₂³×C₁₃	1	2	yes	—
691	#117	—	2	2	no	—
692	#117	—	2	1	no	—
693	#117	—	2	2	no	—
694	#117	C₂³×C₁₃	1	1	yes	characteristic
695	#117	C₂³×C₁₃	1	1	yes	characteristic
696	#117	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×C₄⋊C₄	—	2	2	no	—
698	C₂×C₂²⋊C₄	—	2	2	no	—
699	C₂×C₂²⋊C₄	—	2	1	no	—
700	C₂×C₂²⋊C₄	—	2	1	no	—
701	C₂×C₄²	—	2	1	no	—
702	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
703	#107	C₂³×C₁₃	1	2	yes	—
704	#107	C₂³×C₁₃	1	2	yes	—
705	#106	C₂³×C₁₃	1	2	yes	—
706	#106	C₂³×C₁₃	1	2	yes	—
707	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
708	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
709	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
710	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
711	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
712	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
713	#103	C₂³×C₁₃	1	2	yes	—
714	#103	C₂³×C₁₃	1	2	yes	—
715	#103	C₂³×C₁₃	1	2	yes	—
716	#103	C₂³×C₁₃	1	2	yes	—
717	#102	C₂³×C₁₃	1	2	yes	—
718	#102	C₂³×C₁₃	1	2	yes	—
719	#102	C₂³×C₁₃	1	2	yes	—
720	#102	C₂³×C₁₃	1	2	yes	—
721	#102	C₂³×C₁₃	1	2	yes	—
722	#102	C₂³×C₁₃	1	2	yes	—
723	#102	C₂³×C₁₃	1	2	yes	—
724	#102	C₂³×C₁₃	1	2	yes	—
725	#102	C₂³×C₁₃	1	2	yes	—
726	#102	C₂³×C₁₃	1	2	yes	—
727	#102	C₂³×C₁₃	1	2	yes	—
728	#102	C₂³×C₁₃	1	2	yes	—
729	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
730	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
731	#97	C₂³×C₁₃	1	2	yes	—
732	#97	C₂³×C₁₃	1	2	yes	—
733	#97	C₂³×C₁₃	1	1	yes	characteristic
734	#97	C₂³×C₁₃	1	2	yes	—
735	#97	C₂³×C₁₃	1	1	yes	characteristic
736	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₄×C₈	C₂³×C₁₃	1	2	yes	—
738	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
739	C₂×C₁₃	—	4	1	no	—
740	C₂×C₁₃	—	8	1	no	—
741	C₂×C₁₃	—	8	2	no	—
742	C₂×C₁₃	—	8	2	no	—
743	C₂×C₁₃	—	8	1	no	—
744	C₂×C₁₃	—	8	1	no	—
745	C₂×C₁₃	#3487	1	1	yes	characteristic
746	C₂×C₁₃	#3585	1	2	yes	—
747	C₂⁴	—	2	1	no	—
748	C₂⁴	—	2	1	no	—
749	#41	—	4	2	no	—
750	#41	—	8	4	no	—
751	#41	—	8	4	no	—
752	C₂×Q₈	—	2	2	no	—
753	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
754	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
755	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
756	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
757	C₂×D₄	—	2	1	no	—
758	C₂×D₄	—	2	2	no	—
759	C₂×D₄	—	2	1	no	—
760	C₂×D₄	—	2	1	no	—
761	C₂×D₄	—	2	2	no	—
762	C₂×D₄	—	2	2	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	2	2	no	—
767	C₂×D₄	—	2	2	no	—
768	C₂×D₄	—	2	2	no	—
769	C₂×D₄	—	2	2	no	—
770	C₂×D₄	—	4	2	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	8	4	no	—
773	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
774	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
775	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
776	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
777	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
778	C₂²×C₄	—	2	1	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	2	no	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	2	no	—
787	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
788	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
789	Q₁₆	—	4	2	no	—
790	SD₁₆	—	4	2	no	—
791	SD₁₆	—	4	2	no	—
792	SD₁₆	—	4	2	no	—
793	SD₁₆	—	4	2	no	—
794	SD₁₆	—	4	2	no	—
795	SD₁₆	—	4	2	no	—
796	D₈	—	4	2	no	—
797	D₈	—	4	2	no	—
798	D₈	—	4	2	no	—
799	D₈	—	4	2	no	—
800	D₈	—	4	2	no	—
801	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
802	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
803	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
804	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
805	C₄⋊C₄	—	2	2	no	—
806	C₄⋊C₄	—	2	2	no	—
807	C₄⋊C₄	—	2	2	no	—
808	C₄⋊C₄	—	2	2	no	—
809	C₄⋊C₄	—	2	2	no	—
810	C₄⋊C₄	—	2	2	no	—
811	C₄⋊C₄	—	2	2	no	—
812	C₄⋊C₄	—	2	2	no	—
813	C₄⋊C₄	—	2	2	no	—
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
817	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
818	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
819	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
820	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
821	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
822	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
823	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
824	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
825	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
826	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
827	C₂²⋊C₄	—	2	1	no	—
828	C₂²⋊C₄	—	2	2	no	—
829	C₂²⋊C₄	—	2	2	no	—
830	C₂²⋊C₄	—	2	2	no	—
831	C₂²⋊C₄	—	2	2	no	—
832	C₂²⋊C₄	—	2	2	no	—
833	C₂²⋊C₄	—	2	2	no	—
834	C₂²⋊C₄	—	2	2	no	—
835	C₂²⋊C₄	—	2	2	no	—
836	C₂²⋊C₄	—	2	2	no	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	2	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	2	no	—
843	C₂²⋊C₄	—	2	2	no	—
844	C₂²⋊C₄	—	2	2	no	—
845	C₂²⋊C₄	—	2	2	no	—
846	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
847	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
848	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
849	C₄²	—	2	1	no	—
850	C₄²	—	2	2	no	—
851	C₄²	—	2	2	no	—
852	C₄²	—	2	2	no	—
853	C₄²	—	2	2	no	—
854	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
855	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
856	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
857	C₄²	C₂⁴×C₁₃	1	2	yes	—
858	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
859	C₄²	C₂⁴×C₁₃	1	2	yes	—
860	C₁₃	#61945	1	1	yes	characteristic, direct product factor, Sylow
861	C₂³	—	2	2	no	—
862	C₂³	—	2	2	no	—
863	C₂³	—	2	1	no	—
864	C₂³	—	2	1	no	—
865	C₂³	—	2	1	no	—
866	C₂³	—	4	2	no	—
867	C₂³	—	4	2	no	—
868	C₂³	—	8	2	no	—
869	C₂³	—	8	2	no	—
870	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
871	Q₈	—	2	2	no	—
872	Q₈	—	2	2	no	—
873	Q₈	—	2	2	no	—
874	Q₈	—	4	2	no	—
875	Q₈	—	4	2	no	—
876	Q₈	—	8	2	no	—
877	D₄	—	2	2	no	—
878	D₄	—	2	2	no	—
879	D₄	—	2	2	no	—
880	D₄	—	2	2	no	—
881	D₄	—	2	2	no	—
882	D₄	—	2	2	no	—
883	D₄	—	2	2	no	—
884	D₄	—	4	2	no	—
885	D₄	—	4	2	no	—
886	D₄	—	4	4	no	—
887	D₄	—	4	4	no	—
888	D₄	—	4	2	no	—
889	D₄	—	8	2	no	—
890	D₄	—	8	2	no	—
891	D₄	—	8	2	no	—
892	D₄	—	8	2	no	—
893	D₄	—	8	2	no	—
894	D₄	—	8	2	no	—
895	D₄	—	8	2	no	—
896	D₄	—	8	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	4	2	no	—
904	C₂×C₄	—	4	2	no	—
905	C₂×C₄	—	4	4	no	—
906	C₂×C₄	—	8	2	no	—
907	C₂×C₄	—	8	2	no	—
908	C₂×C₄	—	8	2	no	—
909	C₂×C₄	—	8	2	no	—
910	C₂×C₄	—	8	2	no	—
911	C₂×C₄	—	8	2	no	—
912	C₂×C₄	—	8	2	no	—
913	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
914	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
915	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
916	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
917	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
918	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
919	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
920	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
921	C₈	—	2	2	no	—
922	C₈	—	2	2	no	—
923	C₈	—	2	2	no	—
924	C₈	—	2	2	no	—
925	C₂²	—	2	2	no	—
926	C₂²	—	2	1	no	—
927	C₂²	—	4	2	no	—
928	C₂²	—	4	2	no	—
929	C₂²	—	4	2	no	—
930	C₂²	—	4	2	no	—
931	C₂²	—	4	2	no	—
932	C₂²	—	4	2	no	—
933	C₂²	—	4	2	no	—
934	C₂²	—	4	1	no	—
935	C₂²	—	4	2	no	—
936	C₂²	—	4	1	no	—
937	C₂²	—	4	1	no	—
938	C₂²	—	4	2	no	—
939	C₂²	—	16	2	no	—
940	C₂²	—	16	2	no	—
941	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
942	C₄	—	2	2	no	—
943	C₄	—	2	2	no	—
944	C₄	—	2	2	no	—
945	C₄	—	2	2	no	—
946	C₄	—	2	2	no	—
947	C₄	—	2	2	no	—
948	C₄	—	2	1	no	—
949	C₄	—	4	2	no	—
950	C₄	—	4	2	no	—
951	C₄	—	4	2	no	—
952	C₄	—	4	1	no	—
953	C₄	—	4	2	no	—
954	C₄	C₁₃×#585	1	2	yes	—
955	C₂	—	4	1	no	—
956	C₂	—	8	2	no	—
957	C₂	—	8	1	no	—
958	C₂	—	8	1	no	—
959	C₂	—	8	1	no	—
960	C₂	—	8	2	no	—
961	C₂	C₁₃×#3487	1	1	yes	characteristic
962	C₂	C₁₃×#3585	1	2	yes	—

	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×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3557	C₂	semidirect
2. C₁₃×#3508	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3401	C₂	semidirect
5. C₁₃×#3399	C₂	semidirect
6. C₁₃×#3397	C₂	semidirect
7. C₁₃×#3371	C₂	semidirect
8. C₁₃×#3370	C₂	semidirect
9. C₁₃×#3368	C₂	semidirect
10. C₁₃×#3366	C₂	semidirect
11. C₁₃×#3224	C₂	semidirect
12. C₁₃×#3222	C₂	semidirect
13. C₁₃×#3220	C₂	semidirect
14. C₁₃×#3217	C₂	semidirect
15. C₁₃×#3123	C₂	semidirect
16. C₁₃×#3122	C₂	semidirect
17. C₁₃×#3118	C₂	semidirect
18. C₁₃×#3111	C₂	semidirect
19. C₁₃×#2987	C₂	semidirect
23. C₁₃×#559	C₂²	semidirect
24. C₁₃×#557	C₂²	semidirect
25. C₁₃×#556	C₂²	semidirect
26. C₁₃×#554	C₂²	semidirect
47. C₁₃×#497	C₂²	semidirect
50. C₁₃×#496	C₂²	semidirect
51. C₁₃×#496	C₂²	semidirect
52. C₁₃×#495	C₂²	semidirect
53. C₁₃×#493	C₂²	semidirect
54. C₁₃×#492	C₂²	semidirect
57. C₁₃×#490	C₂²	semidirect
58. C₁₃×#490	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
60. C₁₃×#488	C₂²	semidirect
61. C₁₃×#488	C₂²	semidirect
62. C₁₃×#486	C₂²	semidirect
65. C₁₃×#479	C₂²	semidirect
66. C₁₃×#478	C₂²	semidirect
67. C₁₃×#478	C₂²	semidirect
68. C₁₃×#478	C₂²	semidirect
69. C₁₃×#476	C₂²	semidirect
70. C₁₃×#474	C₂²	semidirect
71. C₁₃×#464	C₂²	semidirect
72. C₁₃×#464	C₂²	semidirect
73. C₁₃×#464	C₂²	semidirect
74. C₁₃×#463	C₂²	semidirect
75. C₁₃×#463	C₂²	semidirect
76. C₁₃×#463	C₂²	semidirect
77. C₁₃×#463	C₂²	semidirect
78. C₁₃×#463	C₂²	semidirect
79. C₁₃×#461	C₂²	semidirect
82. C₁₃×#460	C₂²	semidirect
83. C₁₃×#460	C₂²	semidirect
86. C₁₃×#459	C₂²	semidirect
87. C₁₃×#459	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
95. C₁₃×#446	C₂²	semidirect
96. C₁₃×#446	C₂²	semidirect
97. C₁₃×#446	C₂²	semidirect
98. C₁₃×#446	C₂²	semidirect
99. C₁₃×#442	C₂²	semidirect
100. C₁₃×#442	C₂²	semidirect
101. C₁₃×#442	C₂²	semidirect
102. C₁₃×#441	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₁₃×#440	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₁₃×#440	C₂²	semidirect
107. C₄×C₁₃×SD₁₆	C₂²	semidirect
108. C₄×C₁₃×SD₁₆	C₂²	semidirect
109. C₄×C₁₃×D₈	C₂²	semidirect
110. C₄×C₁₃×D₈	C₂²	semidirect
266. #61945	C₁₃	direct (N × H)
380. #3557	C₂×C₁₃	semidirect
381. #3508	C₂×C₁₃	semidirect
382. #3403	C₂×C₁₃	semidirect
383. #3401	C₂×C₁₃	semidirect
384. #3399	C₂×C₁₃	semidirect
385. #3397	C₂×C₁₃	semidirect
386. #3371	C₂×C₁₃	semidirect
387. #3370	C₂×C₁₃	semidirect
388. #3368	C₂×C₁₃	semidirect
389. #3366	C₂×C₁₃	semidirect
390. #3224	C₂×C₁₃	semidirect
391. #3222	C₂×C₁₃	semidirect
392. #3220	C₂×C₁₃	semidirect
393. #3217	C₂×C₁₃	semidirect
394. #3123	C₂×C₁₃	semidirect
395. #3122	C₂×C₁₃	semidirect
396. #3118	C₂×C₁₃	semidirect
397. #3111	C₂×C₁₃	semidirect
398. #2987	C₂×C₁₃	semidirect
466. #559	C₂²×C₁₃	semidirect
467. #557	C₂²×C₁₃	semidirect
468. #556	C₂²×C₁₃	semidirect
469. #554	C₂²×C₁₃	semidirect
490. #497	C₂²×C₁₃	semidirect
493. #496	C₂²×C₁₃	semidirect
494. #496	C₂²×C₁₃	semidirect
495. #495	C₂²×C₁₃	semidirect
496. #493	C₂²×C₁₃	semidirect
497. #492	C₂²×C₁₃	semidirect
500. #490	C₂²×C₁₃	semidirect
501. #490	C₂²×C₁₃	semidirect
502. #489	C₂²×C₁₃	semidirect
503. #488	C₂²×C₁₃	semidirect
504. #488	C₂²×C₁₃	semidirect
505. #486	C₂²×C₁₃	semidirect
508. #479	C₂²×C₁₃	semidirect
509. #478	C₂²×C₁₃	semidirect
510. #478	C₂²×C₁₃	semidirect
511. #478	C₂²×C₁₃	semidirect
512. #476	C₂²×C₁₃	semidirect
513. #474	C₂²×C₁₃	semidirect
514. #464	C₂²×C₁₃	semidirect
515. #464	C₂²×C₁₃	semidirect
516. #464	C₂²×C₁₃	semidirect
517. #463	C₂²×C₁₃	semidirect
518. #463	C₂²×C₁₃	semidirect
519. #463	C₂²×C₁₃	semidirect
520. #463	C₂²×C₁₃	semidirect
521. #463	C₂²×C₁₃	semidirect
522. #461	C₂²×C₁₃	semidirect
525. #460	C₂²×C₁₃	semidirect
526. #460	C₂²×C₁₃	semidirect
529. #459	C₂²×C₁₃	semidirect
530. #459	C₂²×C₁₃	semidirect
531. #459	C₂²×C₁₃	semidirect
538. #446	C₂²×C₁₃	semidirect
539. #446	C₂²×C₁₃	semidirect
540. #446	C₂²×C₁₃	semidirect
541. #446	C₂²×C₁₃	semidirect
542. #442	C₂²×C₁₃	semidirect
543. #442	C₂²×C₁₃	semidirect
544. #442	C₂²×C₁₃	semidirect
545. #441	C₂²×C₁₃	semidirect
546. #440	C₂²×C₁₃	semidirect
547. #440	C₂²×C₁₃	semidirect
548. #440	C₂²×C₁₃	semidirect
549. #440	C₂²×C₁₃	semidirect
550. C₄×SD₁₆	C₂²×C₁₃	semidirect
551. C₄×SD₁₆	C₂²×C₁₃	semidirect
552. C₄×D₈	C₂²×C₁₃	semidirect
553. C₄×D₈	C₂²×C₁₃	semidirect
860. C₁₃	#61945	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×#3557	2
C₁₃×#3508	2
C₁₃×#3403	2
C₁₃×#3401	2
C₁₃×#3399	2
C₁₃×#3397	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3368	2
C₁₃×#3366	2
C₁₃×#3224	2
C₁₃×#3222	2
C₁₃×#3220	2
C₁₃×#3217	2
C₁₃×#3123	2
C₁₃×#3122	2
C₁₃×#3118	2
C₁₃×#3111	2
C₁₃×#2987	2
#61945	13

Subgroups — C13×#61945 #15748284

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61945 #15748284