Subgroups — C₁₃×#61946 #15748285

Order 3328.

1646 conjugacy classes of subgroups.

The subgroup lattice has 912 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×#3509	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3402	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3400	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3398	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3374	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3372	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3223	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3221	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#3218	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3127	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3126	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3121	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×#557	C₂²	1	2	yes	—
23	C₁₃×#557	C₂²	1	2	yes	—
24	C₁₃×#557	C₂²	1	2	yes	—
25	C₁₃×#556	C₂²	1	2	yes	—
26	C₁₃×#556	C₂²	1	2	yes	—
27	C₁₃×#556	C₂²	1	2	yes	—
28	C₁₃×#554	C₂²	1	2	yes	—
29	C₁₃×#552	—	2	2	no	—
30	C₁₃×#552	—	2	2	no	—
31	C₁₃×#552	—	2	2	no	—
32	C₁₃×#542	—	2	2	no	—
33	C₁₃×#542	C₂²	1	2	yes	—
34	C₁₃×#541	—	2	2	no	—
35	C₁₃×#541	C₂²	1	1	yes	characteristic
36	C₁₃×#540	C₂²	1	1	yes	characteristic
37	C₁₃×#539	—	2	2	no	—
38	C₁₃×#536	C₂²	1	1	yes	characteristic
39	C₁₃×#536	C₂²	1	1	yes	characteristic
40	C₁₃×#533	—	2	2	no	—
41	C₁₃×#533	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
43	C₁₃×#529	C₂²	1	2	yes	—
44	C₁₃×#519	C₂²	1	1	yes	characteristic
45	C₁₃×#519	C₂²	1	1	yes	characteristic
46	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
47	C₁₃×#497	C₂²	1	2	yes	—
48	C₁₃×#497	C₂²	1	2	yes	—
49	C₁₃×#497	C₂²	1	2	yes	—
50	C₁₃×#497	C₂²	1	1	yes	characteristic
51	C₁₃×#496	C₂²	1	1	yes	characteristic
52	C₁₃×#495	C₂²	1	2	yes	—
53	C₁₃×#494	C₂²	1	1	yes	characteristic
54	C₁₃×#492	C₂²	1	1	yes	characteristic
55	C₁₃×#491	C₂²	1	1	yes	characteristic
56	C₁₃×#491	C₂²	1	2	yes	—
57	C₁₃×#491	C₂²	1	1	yes	characteristic
58	C₁₃×#491	C₂²	1	2	yes	—
59	C₁₃×#489	C₂²	1	2	yes	—
60	C₁₃×#488	C₂²	1	1	yes	characteristic
61	C₁₃×#488	C₂²	1	1	yes	characteristic
62	C₁₃×#487	C₂²	1	2	yes	—
63	C₁₃×#485	C₂²	1	2	yes	—
64	C₁₃×#482	C₂²	1	2	yes	—
65	C₁₃×#479	C₂²	1	2	yes	—
66	C₁₃×#479	C₂²	1	2	yes	—
67	C₁₃×#479	C₂²	1	2	yes	—
68	C₁₃×#478	C₂²	1	2	yes	—
69	C₁₃×#477	C₂²	1	2	yes	—
70	C₁₃×#475	C₂²	1	2	yes	—
71	C₁₃×#464	C₂²	1	2	yes	—
72	C₁₃×#464	C₂²	1	2	yes	—
73	C₁₃×#464	C₂²	1	2	yes	—
74	C₁₃×#464	C₂²	1	2	yes	—
75	C₁₃×#464	C₂²	1	2	yes	—
76	C₁₃×#463	C₂²	1	2	yes	—
77	C₁₃×#463	C₂²	1	2	yes	—
78	C₁₃×#463	C₂²	1	2	yes	—
79	C₁₃×#462	C₂²	1	2	yes	—
80	C₁₃×#462	C₂²	1	2	yes	—
81	C₁₃×#462	C₂²	1	2	yes	—
82	C₁₃×#462	C₂²	1	2	yes	—
83	C₁₃×#462	C₂²	1	2	yes	—
84	C₁₃×#461	C₂²	1	2	yes	—
85	C₁₃×#461	C₂²	1	2	yes	—
86	C₁₃×#461	C₂²	1	2	yes	—
87	C₁₃×#461	C₂²	1	2	yes	—
88	C₁₃×#460	C₂²	1	2	yes	—
89	C₁₃×#452	C₂²	1	2	yes	—
90	C₁₃×#451	C₂²	1	2	yes	—
91	C₁₃×#451	C₂²	1	2	yes	—
92	C₁₃×#449	C₂²	1	2	yes	—
93	C₁₃×#448	C₂²	1	2	yes	—
94	C₁₃×#448	C₂²	1	2	yes	—
95	C₁₃×#446	C₂²	1	2	yes	—
96	C₁₃×#446	C₂²	1	2	yes	—
97	C₁₃×#446	C₂²	1	2	yes	—
98	C₁₃×#446	C₂²	1	2	yes	—
99	C₁₃×#442	C₂²	1	2	yes	—
100	C₁₃×#441	C₂²	1	2	yes	—
101	C₁₃×#441	C₂²	1	2	yes	—
102	C₁₃×#441	C₂²	1	2	yes	—
103	C₁₃×#440	C₂²	1	2	yes	—
104	C₁₃×#440	C₂²	1	2	yes	—
105	C₁₃×#440	C₂²	1	2	yes	—
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
108	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
109	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
110	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
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	C₂³	1	1	yes	characteristic
116	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
117	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
118	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
119	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
120	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
121	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
122	C₂×C₁₃×Q₁₆	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×SD₁₆	C₂³	1	2	yes	—
129	C₂×C₁₃×D₈	C₂³	1	2	yes	—
130	C₁₃×C₄⋊Q₈	—	2	2	no	—
131	C₁₃×C₄⋊Q₈	—	2	1	no	—
132	C₁₃×C₄⋊Q₈	—	2	1	no	—
133	C₁₃×C₄⋊Q₈	D₄	1	2	yes	—
134	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
135	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
136	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
137	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
138	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
139	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
140	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
141	C₁₃×#127	C₂³	1	1	yes	characteristic
142	C₁₃×#126	—	2	2	no	—
143	C₁₃×#126	—	2	2	no	—
144	C₁₃×#126	—	2	2	no	—
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×#126	—	2	2	no	—
151	C₁₃×#125	—	2	2	no	—
152	C₁₃×#125	—	2	2	no	—
153	C₁₃×#125	—	2	2	no	—
154	C₁₃×#125	—	2	2	no	—
155	C₁₃×#125	—	2	2	no	—
156	C₁₃×#125	—	2	2	no	—
157	C₁₃×#125	—	2	2	no	—
158	C₁₃×#125	—	2	2	no	—
159	C₁₃×#125	—	2	2	no	—
160	C₁₃×#125	D₄	1	2	yes	—
161	C₁₃×#125	C₂³	1	2	yes	—
162	C₁₃×#125	C₂³	1	1	yes	characteristic
163	C₁₃×#125	C₂³	1	1	yes	characteristic
164	C₁₃×#124	—	2	2	no	—
165	C₁₃×#124	—	2	2	no	—
166	C₁₃×#124	C₂³	1	1	yes	characteristic
167	C₁₃×#124	C₂³	1	2	yes	—
168	C₁₃×#124	C₂³	1	2	yes	—
169	C₁₃×#124	C₂³	1	1	yes	characteristic
170	C₁₃×#124	C₂³	1	2	yes	—
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×#123	—	2	2	no	—
176	C₁₃×#123	—	2	1	no	—
177	C₁₃×#123	—	2	1	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×C₂²⋊Q₈	—	2	2	no	—
180	C₁₃×C₂²⋊Q₈	—	2	2	no	—
181	C₁₃×C₂²⋊Q₈	—	2	2	no	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
189	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
190	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
191	C₁₃×#121	—	2	2	no	—
192	C₁₃×#121	C₂³	1	2	yes	—
193	C₄×Q₈×C₁₃	—	2	2	no	—
194	C₄×Q₈×C₁₃	—	2	2	no	—
195	C₄×Q₈×C₁₃	—	2	2	no	—
196	C₄×Q₈×C₁₃	—	2	2	no	—
197	C₄×Q₈×C₁₃	—	2	2	no	—
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×Q₈×C₁₃	C₂³	1	2	yes	—
204	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
205	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
206	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
207	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
208	C₄×D₄×C₁₃	—	2	2	no	—
209	C₄×D₄×C₁₃	—	2	2	no	—
210	C₄×D₄×C₁₃	—	2	2	no	—
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	C₁₃×#117	—	2	2	no	—
216	C₁₃×#117	—	2	2	no	—
217	C₁₃×#117	—	2	2	no	—
218	C₁₃×#117	—	2	2	no	—
219	C₁₃×#117	—	2	1	no	—
220	C₁₃×#117	—	2	1	no	—
221	C₁₃×#117	—	2	1	no	—
222	C₁₃×#117	—	2	2	no	—
223	C₁₃×#117	C₂³	1	1	yes	characteristic
224	C₁₃×#117	C₂³	1	1	yes	characteristic
225	C₁₃×#117	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
227	C₂×C₁₃×C₄⋊C₄	—	2	2	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×#103	C₂³	1	2	yes	—
245	C₁₃×#103	C₂³	1	2	yes	—
246	C₁₃×#103	C₂³	1	2	yes	—
247	C₁₃×#103	C₂³	1	2	yes	—
248	C₁₃×#103	C₂³	1	2	yes	—
249	C₁₃×#103	C₂³	1	2	yes	—
250	C₁₃×#103	C₂³	1	2	yes	—
251	C₁₃×#103	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	#61946	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
267	C₁₃×#41	—	4	2	no	—
268	C₂×Q₈×C₁₃	—	2	1	no	—
269	C₂×Q₈×C₁₃	—	2	1	no	—
270	C₂×Q₈×C₁₃	—	2	2	no	—
271	C₂×Q₈×C₁₃	—	4	2	no	—
272	C₂×Q₈×C₁₃	—	4	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	2	yes	—
276	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
277	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
278	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
279	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
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	C₂⁴	1	1	yes	characteristic
284	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₃	—	2	1	no	—
286	C₂²×C₄×C₁₃	—	2	1	no	—
287	C₂²×C₄×C₁₃	—	2	2	no	—
288	C₂²×C₄×C₁₃	—	2	1	no	—
289	C₂²×C₄×C₁₃	—	2	2	no	—
290	C₂²×C₄×C₁₃	—	2	2	no	—
291	C₂²×C₄×C₁₃	—	2	2	no	—
292	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
293	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
294	C₁₃×Q₁₆	—	4	2	no	—
295	C₁₃×Q₁₆	—	4	2	no	—
296	C₁₃×Q₁₆	—	4	2	no	—
297	C₁₃×Q₁₆	—	4	2	no	—
298	C₁₃×Q₁₆	—	4	2	no	—
299	C₁₃×SD₁₆	—	4	2	no	—
300	C₁₃×SD₁₆	—	4	2	no	—
301	C₁₃×SD₁₆	—	4	2	no	—
302	C₁₃×SD₁₆	—	4	2	no	—
303	C₁₃×SD₁₆	—	4	2	no	—
304	C₁₃×SD₁₆	—	4	2	no	—
305	C₁₃×D₈	—	4	2	no	—
306	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
307	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
308	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
309	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
310	C₁₃×C₄⋊C₄	—	2	2	no	—
311	C₁₃×C₄⋊C₄	—	2	2	no	—
312	C₁₃×C₄⋊C₄	—	2	2	no	—
313	C₁₃×C₄⋊C₄	—	2	2	no	—
314	C₁₃×C₄⋊C₄	—	2	2	no	—
315	C₁₃×C₄⋊C₄	—	2	2	no	—
316	C₁₃×C₄⋊C₄	—	2	2	no	—
317	C₁₃×C₄⋊C₄	—	2	2	no	—
318	C₁₃×C₄⋊C₄	—	2	2	no	—
319	C₁₃×C₄⋊C₄	—	2	2	no	—
320	C₁₃×C₄⋊C₄	—	2	2	no	—
321	C₁₃×C₄⋊C₄	—	2	2	no	—
322	C₁₃×C₄⋊C₄	—	2	2	no	—
323	C₁₃×C₄⋊C₄	—	2	2	no	—
324	C₁₃×C₄⋊C₄	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
334	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
335	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	C₂⁴	1	2	yes	—
342	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
343	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
344	C₁₃×C₂²⋊C₄	—	2	1	no	—
345	C₁₃×C₂²⋊C₄	—	2	2	no	—
346	C₁₃×C₂²⋊C₄	—	2	2	no	—
347	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
360	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
361	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
362	C₄²×C₁₃	—	2	1	no	—
363	C₄²×C₁₃	—	2	2	no	—
364	C₄²×C₁₃	—	2	2	no	—
365	C₄²×C₁₃	—	2	2	no	—
366	C₄²×C₁₃	—	2	2	no	—
367	C₄²×C₁₃	—	2	2	no	—
368	C₄²×C₁₃	—	2	2	no	—
369	C₄²×C₁₃	—	2	2	no	—
370	C₄²×C₁₃	—	2	2	no	—
371	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
373	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₄²×C₁₃	C₂⁴	1	2	yes	—
375	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₄²×C₁₃	C₂⁴	1	2	yes	—
377	#3557	C₂×C₁₃	1	1	yes	characteristic, complemented
378	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
379	#3402	C₂×C₁₃	1	2	yes	complemented
380	#3401	C₂×C₁₃	1	2	yes	complemented
381	#3400	C₂×C₁₃	1	2	yes	complemented
382	#3398	C₂×C₁₃	1	2	yes	complemented
383	#3377	C₂×C₁₃	1	2	yes	complemented
384	#3376	C₂×C₁₃	1	2	yes	complemented
385	#3374	C₂×C₁₃	1	2	yes	complemented
386	#3372	C₂×C₁₃	1	2	yes	complemented
387	#3225	C₂×C₁₃	1	2	yes	complemented
388	#3223	C₂×C₁₃	1	1	yes	characteristic, complemented
389	#3221	C₂×C₁₃	1	1	yes	characteristic
390	#3218	C₂×C₁₃	1	2	yes	complemented
391	#3127	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#3126	C₂×C₁₃	1	1	yes	characteristic, complemented
393	#3121	C₂×C₁₃	1	2	yes	complemented
394	#3111	C₂×C₁₃	1	2	yes	complemented
395	#2987	C₂×C₁₃	1	1	yes	characteristic, complemented
396	C₂³×C₁₃	—	2	1	no	—
397	C₂³×C₁₃	—	2	2	no	—
398	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
399	Q₈×C₁₃	—	2	2	no	—
400	Q₈×C₁₃	—	2	2	no	—
401	Q₈×C₁₃	—	2	2	no	—
402	Q₈×C₁₃	—	2	2	no	—
403	Q₈×C₁₃	—	2	2	no	—
404	Q₈×C₁₃	—	2	2	no	—
405	Q₈×C₁₃	—	2	2	no	—
406	Q₈×C₁₃	—	4	2	no	—
407	Q₈×C₁₃	—	4	2	no	—
408	Q₈×C₁₃	—	4	2	no	—
409	Q₈×C₁₃	—	4	2	no	—
410	Q₈×C₁₃	—	8	2	no	—
411	D₄×C₁₃	—	2	2	no	—
412	D₄×C₁₃	—	2	2	no	—
413	D₄×C₁₃	—	2	2	no	—
414	D₄×C₁₃	—	4	2	no	—
415	D₄×C₁₃	—	8	2	no	—
416	D₄×C₁₃	—	8	2	no	—
417	C₂×C₄×C₁₃	—	2	2	no	—
418	C₂×C₄×C₁₃	—	2	2	no	—
419	C₂×C₄×C₁₃	—	2	2	no	—
420	C₂×C₄×C₁₃	—	2	2	no	—
421	C₂×C₄×C₁₃	—	2	1	no	—
422	C₂×C₄×C₁₃	—	2	1	no	—
423	C₂×C₄×C₁₃	—	2	2	no	—
424	C₂×C₄×C₁₃	—	2	1	no	—
425	C₂×C₄×C₁₃	—	2	2	no	—
426	C₂×C₄×C₁₃	—	4	2	no	—
427	C₂×C₄×C₁₃	—	4	4	no	—
428	C₂×C₄×C₁₃	—	4	2	no	—
429	C₂×C₄×C₁₃	—	4	2	no	—
430	C₂×C₄×C₁₃	—	4	2	no	—
431	C₂×C₄×C₁₃	—	8	2	no	—
432	C₂×C₄×C₁₃	—	8	2	no	—
433	C₂×C₄×C₁₃	—	8	2	no	—
434	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
436	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
437	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
438	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
439	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
440	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
441	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
442	C₈×C₁₃	—	2	2	no	—
443	C₈×C₁₃	—	2	2	no	—
444	C₈×C₁₃	—	2	2	no	—
445	C₈×C₁₃	—	2	2	no	—
446	#563	—	2	2	no	—
447	#559	C₂²×C₁₃	1	2	yes	—
448	#557	C₂²×C₁₃	1	2	yes	—
449	#557	C₂²×C₁₃	1	2	yes	—
450	#557	C₂²×C₁₃	1	2	yes	—
451	#556	C₂²×C₁₃	1	2	yes	—
452	#556	C₂²×C₁₃	1	2	yes	—
453	#556	C₂²×C₁₃	1	2	yes	—
454	#554	C₂²×C₁₃	1	2	yes	—
455	#552	—	2	2	no	—
456	#552	—	2	2	no	—
457	#552	—	2	2	no	—
458	#542	—	2	2	no	—
459	#542	C₂²×C₁₃	1	2	yes	—
460	#541	—	2	2	no	—
461	#541	C₂²×C₁₃	1	1	yes	characteristic
462	#540	C₂²×C₁₃	1	1	yes	characteristic
463	#539	—	2	2	no	—
464	#536	C₂²×C₁₃	1	1	yes	characteristic
465	#536	C₂²×C₁₃	1	1	yes	characteristic
466	#533	—	2	2	no	—
467	#533	C₂²×C₁₃	1	1	yes	characteristic
468	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
469	#529	C₂²×C₁₃	1	2	yes	—
470	#519	C₂²×C₁₃	1	1	yes	characteristic
471	#519	C₂²×C₁₃	1	1	yes	characteristic
472	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
473	#497	C₂²×C₁₃	1	2	yes	—
474	#497	C₂²×C₁₃	1	2	yes	—
475	#497	C₂²×C₁₃	1	2	yes	—
476	#497	C₂²×C₁₃	1	1	yes	characteristic
477	#496	C₂²×C₁₃	1	1	yes	characteristic
478	#495	C₂²×C₁₃	1	2	yes	—
479	#494	C₂²×C₁₃	1	1	yes	characteristic
480	#492	C₂²×C₁₃	1	1	yes	characteristic
481	#491	C₂²×C₁₃	1	1	yes	characteristic
482	#491	C₂²×C₁₃	1	2	yes	—
483	#491	C₂²×C₁₃	1	1	yes	characteristic
484	#491	C₂²×C₁₃	1	2	yes	—
485	#489	C₂²×C₁₃	1	2	yes	—
486	#488	C₂²×C₁₃	1	1	yes	characteristic
487	#488	C₂²×C₁₃	1	1	yes	characteristic
488	#487	C₂²×C₁₃	1	2	yes	—
489	#485	C₂²×C₁₃	1	2	yes	—
490	#482	C₂²×C₁₃	1	2	yes	—
491	#479	C₂²×C₁₃	1	2	yes	—
492	#479	C₂²×C₁₃	1	2	yes	—
493	#479	C₂²×C₁₃	1	2	yes	—
494	#478	C₂²×C₁₃	1	2	yes	—
495	#477	C₂²×C₁₃	1	2	yes	—
496	#475	C₂²×C₁₃	1	2	yes	—
497	#464	C₂²×C₁₃	1	2	yes	—
498	#464	C₂²×C₁₃	1	2	yes	—
499	#464	C₂²×C₁₃	1	2	yes	—
500	#464	C₂²×C₁₃	1	2	yes	—
501	#464	C₂²×C₁₃	1	2	yes	—
502	#463	C₂²×C₁₃	1	2	yes	—
503	#463	C₂²×C₁₃	1	2	yes	—
504	#463	C₂²×C₁₃	1	2	yes	—
505	#462	C₂²×C₁₃	1	2	yes	—
506	#462	C₂²×C₁₃	1	2	yes	—
507	#462	C₂²×C₁₃	1	2	yes	—
508	#462	C₂²×C₁₃	1	2	yes	—
509	#462	C₂²×C₁₃	1	2	yes	—
510	#461	C₂²×C₁₃	1	2	yes	—
511	#461	C₂²×C₁₃	1	2	yes	—
512	#461	C₂²×C₁₃	1	2	yes	—
513	#461	C₂²×C₁₃	1	2	yes	—
514	#460	C₂²×C₁₃	1	2	yes	—
515	#452	C₂²×C₁₃	1	2	yes	—
516	#451	C₂²×C₁₃	1	2	yes	—
517	#451	C₂²×C₁₃	1	2	yes	—
518	#449	C₂²×C₁₃	1	2	yes	—
519	#448	C₂²×C₁₃	1	2	yes	—
520	#448	C₂²×C₁₃	1	2	yes	—
521	#446	C₂²×C₁₃	1	2	yes	—
522	#446	C₂²×C₁₃	1	2	yes	—
523	#446	C₂²×C₁₃	1	2	yes	—
524	#446	C₂²×C₁₃	1	2	yes	—
525	#442	C₂²×C₁₃	1	2	yes	—
526	#441	C₂²×C₁₃	1	2	yes	—
527	#441	C₂²×C₁₃	1	2	yes	—
528	#441	C₂²×C₁₃	1	2	yes	—
529	#440	C₂²×C₁₃	1	2	yes	—
530	#440	C₂²×C₁₃	1	2	yes	—
531	#440	C₂²×C₁₃	1	2	yes	—
532	#440	C₂²×C₁₃	1	2	yes	—
533	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
534	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
535	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
536	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
537	#433	C₂²×C₁₃	1	2	yes	—
538	#433	C₂²×C₁₃	1	1	yes	characteristic
539	#433	C₂²×C₁₃	1	1	yes	characteristic
540	#432	C₂²×C₁₃	1	2	yes	—
541	C₂²×C₁₃	—	2	2	no	—
542	C₂²×C₁₃	—	2	1	no	—
543	C₂²×C₁₃	—	4	2	no	—
544	C₂²×C₁₃	—	4	2	no	—
545	C₂²×C₁₃	—	4	2	no	—
546	C₂²×C₁₃	—	4	1	no	—
547	C₂²×C₁₃	—	4	2	no	—
548	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
549	C₄×C₁₃	—	2	2	no	—
550	C₄×C₁₃	—	2	2	no	—
551	C₄×C₁₃	—	2	2	no	—
552	C₄×C₁₃	—	2	2	no	—
553	C₄×C₁₃	—	2	2	no	—
554	C₄×C₁₃	—	2	2	no	—
555	C₄×C₁₃	—	2	1	no	—
556	C₄×C₁₃	—	4	2	no	—
557	C₄×C₁₃	—	4	2	no	—
558	C₄×C₁₃	—	4	2	no	—
559	C₄×C₁₃	—	4	1	no	—
560	C₄×C₁₃	—	4	2	no	—
561	C₄×C₁₃	—	4	1	no	—
562	C₄×C₁₃	—	4	1	no	—
563	C₄×C₁₃	—	4	2	no	—
564	C₄×C₁₃	#585	1	2	yes	—
565	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
566	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
567	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
568	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
569	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
570	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
571	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
572	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
573	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
574	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
575	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
576	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
577	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
578	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
579	C₂×D₈	C₂³×C₁₃	1	2	yes	—
580	C₄⋊Q₈	—	2	2	no	—
581	C₄⋊Q₈	—	2	1	no	—
582	C₄⋊Q₈	—	2	1	no	—
583	C₄⋊Q₈	D₄×C₁₃	1	2	yes	—
584	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
585	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
586	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
587	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
588	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
589	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
590	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
591	#127	C₂³×C₁₃	1	1	yes	characteristic
592	#126	—	2	2	no	—
593	#126	—	2	2	no	—
594	#126	—	2	2	no	—
595	#126	—	2	2	no	—
596	#126	—	2	2	no	—
597	#126	—	2	2	no	—
598	#126	—	2	2	no	—
599	#126	—	2	2	no	—
600	#126	—	2	2	no	—
601	#125	—	2	2	no	—
602	#125	—	2	2	no	—
603	#125	—	2	2	no	—
604	#125	—	2	2	no	—
605	#125	—	2	2	no	—
606	#125	—	2	2	no	—
607	#125	—	2	2	no	—
608	#125	—	2	2	no	—
609	#125	—	2	2	no	—
610	#125	D₄×C₁₃	1	2	yes	—
611	#125	C₂³×C₁₃	1	2	yes	—
612	#125	C₂³×C₁₃	1	1	yes	characteristic
613	#125	C₂³×C₁₃	1	1	yes	characteristic
614	#124	—	2	2	no	—
615	#124	—	2	2	no	—
616	#124	C₂³×C₁₃	1	2	yes	—
617	#124	C₂³×C₁₃	1	1	yes	characteristic
618	#124	C₂³×C₁₃	1	2	yes	—
619	#124	C₂³×C₁₃	1	1	yes	characteristic
620	#124	C₂³×C₁₃	1	2	yes	—
621	#123	—	2	2	no	—
622	#123	—	2	2	no	—
623	#123	—	2	2	no	—
624	#123	—	2	2	no	—
625	#123	—	2	2	no	—
626	#123	—	2	1	no	—
627	#123	—	2	1	no	—
628	#123	—	2	2	no	—
629	C₂²⋊Q₈	—	2	2	no	—
630	C₂²⋊Q₈	—	2	2	no	—
631	C₂²⋊Q₈	—	2	2	no	—
632	C₂²⋊Q₈	—	2	2	no	—
633	C₂²⋊Q₈	—	2	2	no	—
634	C₂²⋊Q₈	—	2	2	no	—
635	C₂²⋊Q₈	—	2	2	no	—
636	C₂²⋊Q₈	—	2	2	no	—
637	C₂²⋊Q₈	—	2	2	no	—
638	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
639	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
640	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
641	#121	—	2	2	no	—
642	#121	C₂³×C₁₃	1	2	yes	—
643	C₄×Q₈	—	2	2	no	—
644	C₄×Q₈	—	2	2	no	—
645	C₄×Q₈	—	2	2	no	—
646	C₄×Q₈	—	2	2	no	—
647	C₄×Q₈	—	2	2	no	—
648	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
649	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
650	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
651	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
652	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
653	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
654	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
655	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
656	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
657	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
658	C₄×D₄	—	2	2	no	—
659	C₄×D₄	—	2	2	no	—
660	C₄×D₄	—	2	2	no	—
661	C₄×D₄	C₂³×C₁₃	1	2	yes	—
662	C₄×D₄	C₂³×C₁₃	1	2	yes	—
663	C₄×D₄	C₂³×C₁₃	1	2	yes	—
664	C₄×D₄	C₂³×C₁₃	1	2	yes	—
665	#117	—	2	2	no	—
666	#117	—	2	2	no	—
667	#117	—	2	2	no	—
668	#117	—	2	2	no	—
669	#117	—	2	1	no	—
670	#117	—	2	1	no	—
671	#117	—	2	1	no	—
672	#117	—	2	2	no	—
673	#117	C₂³×C₁₃	1	1	yes	characteristic
674	#117	C₂³×C₁₃	1	1	yes	characteristic
675	#117	C₂³×C₁₃	1	1	yes	characteristic
676	C₂×C₄⋊C₄	—	2	2	no	—
677	C₂×C₄⋊C₄	—	2	2	no	—
678	C₂×C₄²	—	2	1	no	—
679	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
680	#107	C₂³×C₁₃	1	2	yes	—
681	#107	C₂³×C₁₃	1	2	yes	—
682	#106	C₂³×C₁₃	1	2	yes	—
683	#106	C₂³×C₁₃	1	2	yes	—
684	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
685	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
686	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
687	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
688	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
689	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
690	#103	C₂³×C₁₃	1	2	yes	—
691	#103	C₂³×C₁₃	1	2	yes	—
692	#103	C₂³×C₁₃	1	2	yes	—
693	#103	C₂³×C₁₃	1	2	yes	—
694	#103	C₂³×C₁₃	1	2	yes	—
695	#103	C₂³×C₁₃	1	2	yes	—
696	#103	C₂³×C₁₃	1	2	yes	—
697	#103	C₂³×C₁₃	1	2	yes	—
698	#103	C₂³×C₁₃	1	2	yes	—
699	#103	C₂³×C₁₃	1	2	yes	—
700	#103	C₂³×C₁₃	1	2	yes	—
701	#103	C₂³×C₁₃	1	2	yes	—
702	#102	C₂³×C₁₃	1	2	yes	—
703	#102	C₂³×C₁₃	1	2	yes	—
704	#102	C₂³×C₁₃	1	2	yes	—
705	#102	C₂³×C₁₃	1	2	yes	—
706	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
707	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
708	#97	C₂³×C₁₃	1	2	yes	—
709	#97	C₂³×C₁₃	1	2	yes	—
710	#97	C₂³×C₁₃	1	1	yes	characteristic
711	#97	C₂³×C₁₃	1	2	yes	—
712	#97	C₂³×C₁₃	1	1	yes	characteristic
713	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
714	C₄×C₈	C₂³×C₁₃	1	2	yes	—
715	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×C₁₃	—	4	1	no	—
717	C₂×C₁₃	—	8	1	no	—
718	C₂×C₁₃	—	8	2	no	—
719	C₂×C₁₃	#3487	1	1	yes	characteristic
720	C₂×C₁₃	#3586	1	2	yes	—
721	#41	—	4	2	no	—
722	C₂×Q₈	—	2	1	no	—
723	C₂×Q₈	—	2	1	no	—
724	C₂×Q₈	—	2	2	no	—
725	C₂×Q₈	—	4	2	no	—
726	C₂×Q₈	—	4	2	no	—
727	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
728	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
729	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
730	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
731	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
732	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
733	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
734	C₂×D₄	—	2	1	no	—
735	C₂×D₄	—	2	2	no	—
736	C₂×D₄	—	2	2	no	—
737	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
738	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
739	C₂²×C₄	—	2	1	no	—
740	C₂²×C₄	—	2	1	no	—
741	C₂²×C₄	—	2	2	no	—
742	C₂²×C₄	—	2	1	no	—
743	C₂²×C₄	—	2	2	no	—
744	C₂²×C₄	—	2	2	no	—
745	C₂²×C₄	—	2	2	no	—
746	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
747	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
748	Q₁₆	—	4	2	no	—
749	Q₁₆	—	4	2	no	—
750	Q₁₆	—	4	2	no	—
751	Q₁₆	—	4	2	no	—
752	Q₁₆	—	4	2	no	—
753	SD₁₆	—	4	2	no	—
754	SD₁₆	—	4	2	no	—
755	SD₁₆	—	4	2	no	—
756	SD₁₆	—	4	2	no	—
757	SD₁₆	—	4	2	no	—
758	SD₁₆	—	4	2	no	—
759	D₈	—	4	2	no	—
760	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
761	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
762	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
763	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
764	C₄⋊C₄	—	2	2	no	—
765	C₄⋊C₄	—	2	2	no	—
766	C₄⋊C₄	—	2	2	no	—
767	C₄⋊C₄	—	2	2	no	—
768	C₄⋊C₄	—	2	2	no	—
769	C₄⋊C₄	—	2	2	no	—
770	C₄⋊C₄	—	2	2	no	—
771	C₄⋊C₄	—	2	2	no	—
772	C₄⋊C₄	—	2	2	no	—
773	C₄⋊C₄	—	2	2	no	—
774	C₄⋊C₄	—	2	2	no	—
775	C₄⋊C₄	—	2	2	no	—
776	C₄⋊C₄	—	2	2	no	—
777	C₄⋊C₄	—	2	2	no	—
778	C₄⋊C₄	—	2	2	no	—
779	C₄⋊C₄	—	2	2	no	—
780	C₄⋊C₄	—	2	2	no	—
781	C₄⋊C₄	—	2	2	no	—
782	C₄⋊C₄	—	2	2	no	—
783	C₄⋊C₄	—	2	2	no	—
784	C₄⋊C₄	—	2	2	no	—
785	C₄⋊C₄	—	2	2	no	—
786	C₄⋊C₄	—	2	2	no	—
787	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
788	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
789	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
790	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
791	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
792	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
793	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
794	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
795	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
796	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
797	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
798	C₂²⋊C₄	—	2	1	no	—
799	C₂²⋊C₄	—	2	2	no	—
800	C₂²⋊C₄	—	2	2	no	—
801	C₂²⋊C₄	—	2	2	no	—
802	C₂²⋊C₄	—	2	2	no	—
803	C₂²⋊C₄	—	2	2	no	—
804	C₂²⋊C₄	—	2	2	no	—
805	C₂²⋊C₄	—	2	2	no	—
806	C₂²⋊C₄	—	2	2	no	—
807	C₂²⋊C₄	—	2	2	no	—
808	C₂²⋊C₄	—	2	2	no	—
809	C₂²⋊C₄	—	2	2	no	—
810	C₂²⋊C₄	—	2	2	no	—
811	C₂²⋊C₄	—	2	2	no	—
812	C₂²⋊C₄	—	2	2	no	—
813	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
814	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
815	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
816	C₄²	—	2	1	no	—
817	C₄²	—	2	2	no	—
818	C₄²	—	2	2	no	—
819	C₄²	—	2	2	no	—
820	C₄²	—	2	2	no	—
821	C₄²	—	2	2	no	—
822	C₄²	—	2	2	no	—
823	C₄²	—	2	2	no	—
824	C₄²	—	2	2	no	—
825	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
826	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
827	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
828	C₄²	C₂⁴×C₁₃	1	2	yes	—
829	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
830	C₄²	C₂⁴×C₁₃	1	2	yes	—
831	C₁₃	#61946	1	1	yes	characteristic, direct product factor, Sylow
832	C₂³	—	2	1	no	—
833	C₂³	—	2	2	no	—
834	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
835	Q₈	—	2	2	no	—
836	Q₈	—	2	2	no	—
837	Q₈	—	2	2	no	—
838	Q₈	—	2	2	no	—
839	Q₈	—	2	2	no	—
840	Q₈	—	2	2	no	—
841	Q₈	—	2	2	no	—
842	Q₈	—	4	2	no	—
843	Q₈	—	4	2	no	—
844	Q₈	—	4	2	no	—
845	Q₈	—	4	2	no	—
846	Q₈	—	8	2	no	—
847	D₄	—	2	2	no	—
848	D₄	—	2	2	no	—
849	D₄	—	2	2	no	—
850	D₄	—	4	2	no	—
851	D₄	—	8	2	no	—
852	D₄	—	8	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	2	no	—
855	C₂×C₄	—	2	2	no	—
856	C₂×C₄	—	2	2	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	2	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	2	no	—
862	C₂×C₄	—	4	2	no	—
863	C₂×C₄	—	4	4	no	—
864	C₂×C₄	—	4	2	no	—
865	C₂×C₄	—	4	2	no	—
866	C₂×C₄	—	4	2	no	—
867	C₂×C₄	—	8	2	no	—
868	C₂×C₄	—	8	2	no	—
869	C₂×C₄	—	8	2	no	—
870	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
871	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
872	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
873	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
874	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
875	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
876	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
877	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
878	C₈	—	2	2	no	—
879	C₈	—	2	2	no	—
880	C₈	—	2	2	no	—
881	C₈	—	2	2	no	—
882	C₂²	—	2	2	no	—
883	C₂²	—	2	1	no	—
884	C₂²	—	4	2	no	—
885	C₂²	—	4	2	no	—
886	C₂²	—	4	2	no	—
887	C₂²	—	4	1	no	—
888	C₂²	—	4	2	no	—
889	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
890	C₄	—	2	2	no	—
891	C₄	—	2	2	no	—
892	C₄	—	2	2	no	—
893	C₄	—	2	2	no	—
894	C₄	—	2	2	no	—
895	C₄	—	2	2	no	—
896	C₄	—	2	1	no	—
897	C₄	—	4	2	no	—
898	C₄	—	4	2	no	—
899	C₄	—	4	2	no	—
900	C₄	—	4	1	no	—
901	C₄	—	4	2	no	—
902	C₄	—	4	1	no	—
903	C₄	—	4	1	no	—
904	C₄	—	4	2	no	—
905	C₄	C₁₃×#585	1	2	yes	—
906	C₂	—	4	1	no	—
907	C₂	—	8	1	no	—
908	C₂	—	8	2	no	—
909	C₂	C₁₃×#3487	1	1	yes	characteristic
910	C₂	C₁₃×#3586	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3221	C₂
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×#3509	C₂	semidirect
3. C₁₃×#3402	C₂	semidirect
4. C₁₃×#3401	C₂	semidirect
5. C₁₃×#3400	C₂	semidirect
6. C₁₃×#3398	C₂	semidirect
7. C₁₃×#3377	C₂	semidirect
8. C₁₃×#3376	C₂	semidirect
9. C₁₃×#3374	C₂	semidirect
10. C₁₃×#3372	C₂	semidirect
11. C₁₃×#3225	C₂	semidirect
12. C₁₃×#3223	C₂	semidirect
14. C₁₃×#3218	C₂	semidirect
15. C₁₃×#3127	C₂	semidirect
16. C₁₃×#3126	C₂	semidirect
17. C₁₃×#3121	C₂	semidirect
18. C₁₃×#3111	C₂	semidirect
19. C₁₃×#2987	C₂	semidirect
266. #61946	C₁₃	direct (N × H)
377. #3557	C₂×C₁₃	semidirect
378. #3509	C₂×C₁₃	semidirect
379. #3402	C₂×C₁₃	semidirect
380. #3401	C₂×C₁₃	semidirect
381. #3400	C₂×C₁₃	semidirect
382. #3398	C₂×C₁₃	semidirect
383. #3377	C₂×C₁₃	semidirect
384. #3376	C₂×C₁₃	semidirect
385. #3374	C₂×C₁₃	semidirect
386. #3372	C₂×C₁₃	semidirect
387. #3225	C₂×C₁₃	semidirect
388. #3223	C₂×C₁₃	semidirect
390. #3218	C₂×C₁₃	semidirect
391. #3127	C₂×C₁₃	semidirect
392. #3126	C₂×C₁₃	semidirect
393. #3121	C₂×C₁₃	semidirect
394. #3111	C₂×C₁₃	semidirect
395. #2987	C₂×C₁₃	semidirect
831. C₁₃	#61946	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×#3509	2
C₁₃×#3402	2
C₁₃×#3401	2
C₁₃×#3400	2
C₁₃×#3398	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3374	2
C₁₃×#3372	2
C₁₃×#3225	2
C₁₃×#3223	2
C₁₃×#3221	2
C₁₃×#3218	2
C₁₃×#3127	2
C₁₃×#3126	2
C₁₃×#3121	2
C₁₃×#3111	2
C₁₃×#2987	2
#61946	13

Subgroups — C13×#61946 #15748285

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61946 #15748285