Subgroups — C₁₃×#34445 #15720784

Order 3328.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#541	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2383	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2382	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2381	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2378	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#2373	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#2373	C₂	1	1	yes	maximal, characteristic
8	C₁₃×#2373	C₂	1	1	yes	maximal, characteristic
9	C₁₃×#2371	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2370	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2370	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2369	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2368	C₂	1	1	yes	maximal, characteristic
14	C₁₃×#2356	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2355	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2347	C₂	1	1	yes	maximal, characteristic
17	C₁₃×#2343	C₂	1	1	yes	maximal, characteristic
18	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic
23	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic
24	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic
25	C₁₃×#2332	C₂	1	1	yes	maximal, characteristic
26	C₁₃×#2330	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2329	C₂	1	1	yes	maximal, characteristic
28	C₁₃×#2320	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₁₃×#126	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2295	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#541	C₄	1	16	yes	complemented
33	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
48	C₁₃×#391	C₂²	1	1	yes	characteristic
49	C₁₃×#391	C₂²	1	1	yes	characteristic
50	C₁₃×#391	C₂²	1	1	yes	characteristic
51	C₁₃×#391	C₂²	1	1	yes	characteristic
52	C₁₃×#391	C₂²	1	1	yes	characteristic
53	C₁₃×#391	C₂²	1	1	yes	characteristic
54	C₁₃×#391	C₂²	1	1	yes	characteristic
55	C₁₃×#391	C₂²	1	1	yes	characteristic
56	C₁₃×#389	C₂²	1	1	yes	characteristic
57	C₁₃×#389	C₂²	1	1	yes	characteristic
58	C₁₃×#389	C₂²	1	1	yes	characteristic
59	C₁₃×#389	C₂²	1	1	yes	characteristic
60	C₁₃×#389	C₂²	1	1	yes	characteristic
61	C₁₃×#389	C₂²	1	1	yes	characteristic
62	C₁₃×#389	C₂²	1	1	yes	characteristic
63	C₁₃×#389	C₂²	1	1	yes	characteristic
64	C₁₃×#389	C₂²	1	1	yes	characteristic
65	C₁₃×#389	C₂²	1	1	yes	characteristic
66	C₁₃×#389	C₂²	1	1	yes	characteristic
67	C₁₃×#389	C₂²	1	1	yes	characteristic
68	C₁₃×#389	C₂²	1	1	yes	characteristic
69	C₁₃×#389	C₂²	1	1	yes	characteristic
70	C₁₃×#389	C₂²	1	1	yes	characteristic
71	C₁₃×#389	C₂²	1	1	yes	characteristic
72	C₁₃×#389	C₂²	1	1	yes	characteristic
73	C₁₃×#389	C₂²	1	1	yes	characteristic
74	C₁₃×#388	C₂²	1	1	yes	characteristic
75	C₁₃×#388	C₂²	1	1	yes	characteristic
76	C₁₃×#388	C₂²	1	1	yes	characteristic
77	C₁₃×#388	C₂²	1	1	yes	characteristic
78	C₁₃×#388	C₂²	1	1	yes	characteristic
79	C₁₃×#388	C₂²	1	1	yes	characteristic
80	C₁₃×#388	C₂²	1	1	yes	characteristic
81	C₁₃×#388	C₂²	1	1	yes	characteristic
82	C₁₃×#388	C₂²	1	1	yes	characteristic
83	C₁₃×#388	C₂²	1	1	yes	characteristic
84	C₁₃×#388	C₂²	1	1	yes	characteristic
85	C₁₃×#388	C₂²	1	1	yes	characteristic
86	C₁₃×#387	C₂²	1	1	yes	characteristic
87	C₁₃×#387	C₂²	1	1	yes	characteristic
88	C₁₃×#387	C₂²	1	1	yes	characteristic
89	C₁₃×#387	C₂²	1	1	yes	characteristic
90	C₁₃×#387	C₂²	1	1	yes	characteristic
91	C₁₃×#387	C₂²	1	1	yes	characteristic
92	C₁₃×#387	C₂²	1	1	yes	characteristic
93	C₁₃×#387	C₂²	1	1	yes	characteristic
94	C₁₃×#387	C₂²	1	1	yes	characteristic
95	C₁₃×#387	C₂²	1	1	yes	characteristic
96	C₁₃×#387	C₂²	1	1	yes	characteristic
97	C₁₃×#387	C₂²	1	1	yes	characteristic
98	C₁₃×#387	C₂²	1	1	yes	characteristic
99	C₁₃×#387	C₂²	1	1	yes	characteristic
100	C₁₃×#387	C₂²	1	1	yes	characteristic
101	C₁₃×#387	C₂²	1	1	yes	characteristic
102	C₁₃×#387	C₂²	1	1	yes	characteristic
103	C₁₃×#387	C₂²	1	1	yes	characteristic
104	C₁₃×#387	C₂²	1	1	yes	characteristic
105	C₁₃×#387	C₂²	1	1	yes	characteristic
106	C₁₃×#387	C₂²	1	1	yes	characteristic
107	C₁₃×#387	C₂²	1	1	yes	characteristic
108	C₁₃×#387	C₂²	1	1	yes	characteristic
109	C₁₃×#387	C₂²	1	1	yes	characteristic
110	C₁₃×#387	C₂²	1	1	yes	characteristic
111	C₁₃×#387	C₂²	1	1	yes	characteristic
112	C₁₃×#387	C₂²	1	1	yes	characteristic
113	C₁₃×#387	C₂²	1	1	yes	characteristic
114	C₁₃×#387	C₂²	1	1	yes	characteristic
115	C₁₃×#387	C₂²	1	1	yes	characteristic
116	C₁₃×#387	C₂²	1	1	yes	characteristic
117	C₁₃×#387	C₂²	1	1	yes	characteristic
118	C₁₃×#387	C₂²	1	1	yes	characteristic
119	C₁₃×#387	C₂²	1	1	yes	characteristic
120	C₁₃×#387	C₂²	1	1	yes	characteristic
121	C₁₃×#387	C₂²	1	1	yes	characteristic
122	C₁₃×#387	C₂²	1	1	yes	characteristic
123	C₁₃×#387	C₂²	1	1	yes	characteristic
124	C₁₃×#387	C₂²	1	1	yes	characteristic
125	C₁₃×#387	C₂²	1	1	yes	characteristic
126	C₁₃×#387	C₂²	1	1	yes	characteristic
127	C₁₃×#387	C₂²	1	1	yes	characteristic
128	C₁₃×#387	C₂²	1	1	yes	characteristic
129	C₁₃×#387	C₂²	1	1	yes	characteristic
130	C₁₃×#385	C₂²	1	1	yes	characteristic
131	C₁₃×#385	C₂²	1	1	yes	characteristic
132	C₁₃×#385	C₂²	1	1	yes	characteristic
133	C₁₃×#385	C₂²	1	1	yes	characteristic
134	C₁₃×#385	C₂²	1	1	yes	characteristic
135	C₁₃×#385	C₂²	1	1	yes	characteristic
136	C₁₃×#384	C₂²	1	1	yes	characteristic
137	C₁₃×#383	C₂²	1	1	yes	characteristic
138	C₁₃×#383	C₂²	1	1	yes	characteristic
139	C₁₃×#383	C₂²	1	1	yes	characteristic
140	C₁₃×#383	C₂²	1	1	yes	characteristic
141	C₁₃×#383	C₂²	1	1	yes	characteristic
142	C₁₃×#382	C₂²	1	1	yes	characteristic
143	C₁₃×#382	C₂²	1	1	yes	characteristic
144	C₁₃×#382	C₂²	1	1	yes	characteristic
145	C₁₃×#382	C₂²	1	1	yes	characteristic
146	C₁₃×#381	C₂²	1	1	yes	characteristic
147	C₁₃×#380	C₂²	1	1	yes	characteristic
148	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
182	C₁₃×#376	C₂²	1	1	yes	characteristic
183	C₁₃×#376	C₂²	1	1	yes	characteristic
184	C₁₃×#376	C₂²	1	1	yes	characteristic
185	C₁₃×#376	C₂²	1	1	yes	characteristic
186	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
187	C₄³×C₁₃	C₂²	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₁₃×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
194	C₁₃×#126	C₂×C₄	1	8	yes	—
195	C₁₃×#126	C₂×C₄	1	8	yes	—
196	C₁₃×#126	C₂×C₄	1	8	yes	—
197	C₁₃×#126	C₂×C₄	1	8	yes	—
198	C₁₃×#125	C₂×C₄	1	8	yes	complemented
199	C₁₃×#125	C₂×C₄	1	8	yes	complemented
200	C₁₃×#125	C₂×C₄	1	8	yes	complemented
201	C₁₃×#125	C₂×C₄	1	8	yes	complemented
202	C₁₃×#125	C₂×C₄	1	8	yes	complemented
203	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
204	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	—
205	C₄×Q₈×C₁₃	C₂×C₄	1	8	yes	complemented
206	C₄×Q₈×C₁₃	C₂×C₄	1	8	yes	complemented
207	C₁₃×#117	C₂×C₄	1	8	yes	—
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
298	C₁₃×#95	C₂³	1	1	yes	characteristic
299	C₁₃×#95	C₂³	1	1	yes	characteristic
300	C₁₃×#95	C₂³	1	1	yes	characteristic
301	C₁₃×#95	C₂³	1	1	yes	characteristic
302	C₁₃×#95	C₂³	1	1	yes	characteristic
303	C₁₃×#95	C₂³	1	1	yes	characteristic
304	C₁₃×#95	C₂³	1	1	yes	characteristic
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	C₁₃×#95	C₂³	1	1	yes	characteristic
349	C₁₃×#95	C₂³	1	1	yes	characteristic
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	C₁₃×#95	C₂³	1	1	yes	characteristic
358	#34445	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
359	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	—	4	1	no	—
361	C₂×Q₈×C₁₃	—	4	1	no	—
362	C₂×Q₈×C₁₃	—	4	1	no	—
363	C₂×Q₈×C₁₃	—	4	1	no	—
364	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
365	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	4	1	no	—
368	C₂²×C₄×C₁₃	—	4	1	no	—
369	C₂²×C₄×C₁₃	—	4	1	no	—
370	C₂²×C₄×C₁₃	—	4	1	no	—
371	C₂²×C₄×C₁₃	—	4	1	no	—
372	C₂²×C₄×C₁₃	—	4	1	no	—
373	C₂²×C₄×C₁₃	—	4	1	no	—
374	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	4	1	no	—
411	C₁₃×C₄⋊C₄	—	4	1	no	—
412	C₁₃×C₄⋊C₄	—	4	1	no	—
413	C₁₃×C₄⋊C₄	—	4	1	no	—
414	C₁₃×C₄⋊C₄	—	4	1	no	—
415	C₁₃×C₄⋊C₄	—	4	1	no	—
416	C₁₃×C₄⋊C₄	—	4	1	no	—
417	C₁₃×C₄⋊C₄	—	4	1	no	—
418	C₁₃×C₄⋊C₄	—	4	1	no	—
419	C₁₃×C₄⋊C₄	—	4	1	no	—
420	C₁₃×C₄⋊C₄	—	4	1	no	—
421	C₁₃×C₄⋊C₄	—	4	1	no	—
422	C₁₃×C₄⋊C₄	—	4	1	no	—
423	C₁₃×C₄⋊C₄	—	4	1	no	—
424	C₁₃×C₄⋊C₄	—	4	1	no	—
425	C₁₃×C₄⋊C₄	—	4	1	no	—
426	C₁₃×C₄⋊C₄	—	4	1	no	—
427	C₁₃×C₄⋊C₄	—	4	1	no	—
428	C₁₃×C₄⋊C₄	—	4	1	no	—
429	C₁₃×C₄⋊C₄	—	4	1	no	—
430	C₁₃×C₄⋊C₄	—	4	1	no	—
431	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
432	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
433	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
434	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
435	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
436	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
437	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
438	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
439	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
440	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
441	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
442	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
443	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
444	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
445	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
446	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
447	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
448	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
449	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
450	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
451	C₁₃×C₂²⋊C₄	—	2	2	no	—
452	C₁₃×C₂²⋊C₄	—	4	1	no	—
453	C₁₃×C₂²⋊C₄	—	4	1	no	—
454	C₁₃×C₂²⋊C₄	—	4	1	no	—
455	C₁₃×C₂²⋊C₄	—	4	1	no	—
456	C₁₃×C₂²⋊C₄	—	4	1	no	—
457	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
458	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
459	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
460	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
461	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
462	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
463	C₄²×C₁₃	—	2	2	no	—
464	C₄²×C₁₃	—	2	2	no	—
465	C₄²×C₁₃	—	2	2	no	—
466	C₄²×C₁₃	—	4	1	no	—
467	C₄²×C₁₃	—	4	1	no	—
468	C₄²×C₁₃	—	4	1	no	—
469	C₄²×C₁₃	—	4	1	no	—
470	C₄²×C₁₃	—	4	1	no	—
471	C₄²×C₁₃	—	4	1	no	—
472	C₄²×C₁₃	—	4	1	no	—
473	C₄²×C₁₃	—	4	1	no	—
474	C₄²×C₁₃	—	4	1	no	—
475	C₄²×C₁₃	—	4	1	no	—
476	C₄²×C₁₃	—	4	1	no	—
477	C₄²×C₁₃	—	4	1	no	—
478	C₄²×C₁₃	—	4	1	no	—
479	C₄²×C₁₃	—	4	1	no	—
480	C₄²×C₁₃	—	4	1	no	—
481	C₄²×C₁₃	—	4	1	no	—
482	C₄²×C₁₃	—	4	1	no	—
483	C₄²×C₁₃	—	4	1	no	—
484	C₄²×C₁₃	—	4	1	no	—
485	C₄²×C₁₃	—	4	1	no	—
486	C₄²×C₁₃	—	4	1	no	—
487	C₄²×C₁₃	—	4	1	no	—
488	C₄²×C₁₃	—	4	1	no	—
489	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
490	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
491	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
492	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
493	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
494	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
495	C₂×#541	C₂×C₁₃	1	1	yes	characteristic
496	#2383	C₂×C₁₃	1	1	yes	characteristic
497	#2382	C₂×C₁₃	1	1	yes	characteristic, complemented
498	#2381	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#2378	C₂×C₁₃	1	1	yes	characteristic
500	#2373	C₂×C₁₃	1	1	yes	characteristic
501	#2373	C₂×C₁₃	1	1	yes	characteristic
502	#2373	C₂×C₁₃	1	1	yes	characteristic
503	#2371	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#2370	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#2370	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#2369	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#2368	C₂×C₁₃	1	1	yes	characteristic
508	#2356	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#2355	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#2347	C₂×C₁₃	1	1	yes	characteristic
511	#2343	C₂×C₁₃	1	1	yes	characteristic
512	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#2334	C₂×C₁₃	1	1	yes	characteristic
517	#2334	C₂×C₁₃	1	1	yes	characteristic
518	#2334	C₂×C₁₃	1	1	yes	characteristic
519	#2332	C₂×C₁₃	1	1	yes	characteristic
520	#2330	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#2329	C₂×C₁₃	1	1	yes	characteristic
522	#2320	C₂×C₁₃	1	1	yes	characteristic, complemented
523	C₄×#125	C₂×C₁₃	1	1	yes	characteristic, complemented
524	C₄×#126	C₂×C₁₃	1	1	yes	characteristic
525	#2295	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	1	no	—
527	C₂³×C₁₃	—	2	1	no	—
528	C₂³×C₁₃	—	2	1	no	—
529	C₂³×C₁₃	—	2	1	no	—
530	C₂³×C₁₃	—	2	1	no	—
531	C₂³×C₁₃	—	2	1	no	—
532	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
533	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
534	Q₈×C₁₃	—	4	4	no	—
535	Q₈×C₁₃	—	4	4	no	—
536	C₂×C₄×C₁₃	—	2	1	no	—
537	C₂×C₄×C₁₃	—	2	1	no	—
538	C₂×C₄×C₁₃	—	2	1	no	—
539	C₂×C₄×C₁₃	—	2	1	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	1	no	—
542	C₂×C₄×C₁₃	—	2	1	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	2	1	no	—
545	C₂×C₄×C₁₃	—	2	1	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	—	2	1	no	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	4	4	no	—
611	C₂×C₄×C₁₃	—	8	2	no	—
612	C₂×C₄×C₁₃	—	8	2	no	—
613	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
614	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
615	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
616	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
617	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
618	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
619	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
620	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
621	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
622	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
623	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
624	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
625	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
626	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
627	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
628	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
629	#541	C₄×C₁₃	1	16	yes	complemented
630	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
631	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
632	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
633	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
634	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
635	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
636	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
637	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
638	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
639	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
640	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
641	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
642	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
643	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
644	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
645	#391	C₂²×C₁₃	1	1	yes	characteristic
646	#391	C₂²×C₁₃	1	1	yes	characteristic
647	#391	C₂²×C₁₃	1	1	yes	characteristic
648	#391	C₂²×C₁₃	1	1	yes	characteristic
649	#391	C₂²×C₁₃	1	1	yes	characteristic
650	#391	C₂²×C₁₃	1	1	yes	characteristic
651	#391	C₂²×C₁₃	1	1	yes	characteristic
652	#391	C₂²×C₁₃	1	1	yes	characteristic
653	#389	C₂²×C₁₃	1	1	yes	characteristic
654	#389	C₂²×C₁₃	1	1	yes	characteristic
655	#389	C₂²×C₁₃	1	1	yes	characteristic
656	#389	C₂²×C₁₃	1	1	yes	characteristic
657	#389	C₂²×C₁₃	1	1	yes	characteristic
658	#389	C₂²×C₁₃	1	1	yes	characteristic
659	#389	C₂²×C₁₃	1	1	yes	characteristic
660	#389	C₂²×C₁₃	1	1	yes	characteristic
661	#389	C₂²×C₁₃	1	1	yes	characteristic
662	#389	C₂²×C₁₃	1	1	yes	characteristic
663	#389	C₂²×C₁₃	1	1	yes	characteristic
664	#389	C₂²×C₁₃	1	1	yes	characteristic
665	#389	C₂²×C₁₃	1	1	yes	characteristic
666	#389	C₂²×C₁₃	1	1	yes	characteristic
667	#389	C₂²×C₁₃	1	1	yes	characteristic
668	#389	C₂²×C₁₃	1	1	yes	characteristic
669	#389	C₂²×C₁₃	1	1	yes	characteristic
670	#389	C₂²×C₁₃	1	1	yes	characteristic
671	#388	C₂²×C₁₃	1	1	yes	characteristic
672	#388	C₂²×C₁₃	1	1	yes	characteristic
673	#388	C₂²×C₁₃	1	1	yes	characteristic
674	#388	C₂²×C₁₃	1	1	yes	characteristic
675	#388	C₂²×C₁₃	1	1	yes	characteristic
676	#388	C₂²×C₁₃	1	1	yes	characteristic
677	#388	C₂²×C₁₃	1	1	yes	characteristic
678	#388	C₂²×C₁₃	1	1	yes	characteristic
679	#388	C₂²×C₁₃	1	1	yes	characteristic
680	#388	C₂²×C₁₃	1	1	yes	characteristic
681	#388	C₂²×C₁₃	1	1	yes	characteristic
682	#388	C₂²×C₁₃	1	1	yes	characteristic
683	#387	C₂²×C₁₃	1	1	yes	characteristic
684	#387	C₂²×C₁₃	1	1	yes	characteristic
685	#387	C₂²×C₁₃	1	1	yes	characteristic
686	#387	C₂²×C₁₃	1	1	yes	characteristic
687	#387	C₂²×C₁₃	1	1	yes	characteristic
688	#387	C₂²×C₁₃	1	1	yes	characteristic
689	#387	C₂²×C₁₃	1	1	yes	characteristic
690	#387	C₂²×C₁₃	1	1	yes	characteristic
691	#387	C₂²×C₁₃	1	1	yes	characteristic
692	#387	C₂²×C₁₃	1	1	yes	characteristic
693	#387	C₂²×C₁₃	1	1	yes	characteristic
694	#387	C₂²×C₁₃	1	1	yes	characteristic
695	#387	C₂²×C₁₃	1	1	yes	characteristic
696	#387	C₂²×C₁₃	1	1	yes	characteristic
697	#387	C₂²×C₁₃	1	1	yes	characteristic
698	#387	C₂²×C₁₃	1	1	yes	characteristic
699	#387	C₂²×C₁₃	1	1	yes	characteristic
700	#387	C₂²×C₁₃	1	1	yes	characteristic
701	#387	C₂²×C₁₃	1	1	yes	characteristic
702	#387	C₂²×C₁₃	1	1	yes	characteristic
703	#387	C₂²×C₁₃	1	1	yes	characteristic
704	#387	C₂²×C₁₃	1	1	yes	characteristic
705	#387	C₂²×C₁₃	1	1	yes	characteristic
706	#387	C₂²×C₁₃	1	1	yes	characteristic
707	#387	C₂²×C₁₃	1	1	yes	characteristic
708	#387	C₂²×C₁₃	1	1	yes	characteristic
709	#387	C₂²×C₁₃	1	1	yes	characteristic
710	#387	C₂²×C₁₃	1	1	yes	characteristic
711	#387	C₂²×C₁₃	1	1	yes	characteristic
712	#387	C₂²×C₁₃	1	1	yes	characteristic
713	#387	C₂²×C₁₃	1	1	yes	characteristic
714	#387	C₂²×C₁₃	1	1	yes	characteristic
715	#387	C₂²×C₁₃	1	1	yes	characteristic
716	#387	C₂²×C₁₃	1	1	yes	characteristic
717	#387	C₂²×C₁₃	1	1	yes	characteristic
718	#387	C₂²×C₁₃	1	1	yes	characteristic
719	#387	C₂²×C₁₃	1	1	yes	characteristic
720	#387	C₂²×C₁₃	1	1	yes	characteristic
721	#387	C₂²×C₁₃	1	1	yes	characteristic
722	#387	C₂²×C₁₃	1	1	yes	characteristic
723	#387	C₂²×C₁₃	1	1	yes	characteristic
724	#387	C₂²×C₁₃	1	1	yes	characteristic
725	#387	C₂²×C₁₃	1	1	yes	characteristic
726	#387	C₂²×C₁₃	1	1	yes	characteristic
727	#385	C₂²×C₁₃	1	1	yes	characteristic
728	#385	C₂²×C₁₃	1	1	yes	characteristic
729	#385	C₂²×C₁₃	1	1	yes	characteristic
730	#385	C₂²×C₁₃	1	1	yes	characteristic
731	#385	C₂²×C₁₃	1	1	yes	characteristic
732	#385	C₂²×C₁₃	1	1	yes	characteristic
733	#384	C₂²×C₁₃	1	1	yes	characteristic
734	#383	C₂²×C₁₃	1	1	yes	characteristic
735	#383	C₂²×C₁₃	1	1	yes	characteristic
736	#383	C₂²×C₁₃	1	1	yes	characteristic
737	#383	C₂²×C₁₃	1	1	yes	characteristic
738	#383	C₂²×C₁₃	1	1	yes	characteristic
739	#382	C₂²×C₁₃	1	1	yes	characteristic
740	#382	C₂²×C₁₃	1	1	yes	characteristic
741	#382	C₂²×C₁₃	1	1	yes	characteristic
742	#382	C₂²×C₁₃	1	1	yes	characteristic
743	#381	C₂²×C₁₃	1	1	yes	characteristic
744	#380	C₂²×C₁₃	1	1	yes	characteristic
745	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
746	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
747	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
748	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
749	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
750	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
751	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
752	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
753	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
754	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
755	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
756	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
757	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
758	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
759	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
760	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
761	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
762	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
763	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
764	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
765	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
766	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
767	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
768	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
769	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
770	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
771	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
772	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
773	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
774	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
775	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
776	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
777	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
778	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
779	#376	C₂²×C₁₃	1	1	yes	characteristic
780	#376	C₂²×C₁₃	1	1	yes	characteristic
781	#376	C₂²×C₁₃	1	1	yes	characteristic
782	#376	C₂²×C₁₃	1	1	yes	characteristic
783	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
784	C₄³	C₂²×C₁₃	1	1	yes	characteristic
785	C₂²×C₁₃	—	2	2	no	—
786	C₂²×C₁₃	—	2	2	no	—
787	C₂²×C₁₃	—	2	2	no	—
788	C₂²×C₁₃	—	4	1	no	—
789	C₂²×C₁₃	—	4	1	no	—
790	C₂²×C₁₃	—	4	1	no	—
791	C₂²×C₁₃	—	4	1	no	—
792	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
793	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
794	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
795	C₂²×C₁₃	#585	1	1	yes	characteristic
796	C₂²×C₁₃	#585	1	1	yes	characteristic
797	C₂²×C₁₃	#585	1	1	yes	characteristic
798	C₂²×C₁₃	#585	1	1	yes	characteristic
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	2	no	—
803	C₄×C₁₃	—	2	2	no	—
804	C₄×C₁₃	—	2	2	no	—
805	C₄×C₁₃	—	2	2	no	—
806	C₄×C₁₃	—	2	2	no	—
807	C₄×C₁₃	—	2	2	no	—
808	C₄×C₁₃	—	2	2	no	—
809	C₄×C₁₃	—	2	2	no	—
810	C₄×C₁₃	—	2	2	no	—
811	C₄×C₁₃	—	2	2	no	—
812	C₄×C₁₃	—	2	2	no	—
813	C₄×C₁₃	—	2	2	no	—
814	C₄×C₁₃	—	2	2	no	—
815	C₄×C₁₃	—	4	1	no	—
816	C₄×C₁₃	—	4	1	no	—
817	C₄×C₁₃	—	4	1	no	—
818	C₄×C₁₃	—	4	1	no	—
819	C₄×C₁₃	—	4	1	no	—
820	C₄×C₁₃	—	4	1	no	—
821	C₄×C₁₃	—	4	1	no	—
822	C₄×C₁₃	—	4	1	no	—
823	C₄×C₁₃	—	4	1	no	—
824	C₄×C₁₃	—	4	1	no	—
825	C₄×C₁₃	—	4	1	no	—
826	C₄×C₁₃	—	4	1	no	—
827	C₄×C₁₃	—	4	1	no	—
828	C₄×C₁₃	—	4	1	no	—
829	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
832	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
833	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
834	C₄⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
835	#126	C₂×C₄×C₁₃	1	8	yes	—
836	#126	C₂×C₄×C₁₃	1	8	yes	—
837	#126	C₂×C₄×C₁₃	1	8	yes	—
838	#126	C₂×C₄×C₁₃	1	8	yes	—
839	#125	C₂×C₄×C₁₃	1	8	yes	complemented
840	#125	C₂×C₄×C₁₃	1	8	yes	complemented
841	#125	C₂×C₄×C₁₃	1	8	yes	complemented
842	#125	C₂×C₄×C₁₃	1	8	yes	complemented
843	#125	C₂×C₄×C₁₃	1	8	yes	complemented
844	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	—
845	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	—
846	C₄×Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
847	C₄×Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
848	#117	C₂×C₄×C₁₃	1	8	yes	—
849	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
854	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
868	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
869	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
907	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
908	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
910	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
911	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
912	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
913	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
914	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
915	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
916	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
917	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
918	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
919	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
920	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
925	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
926	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
927	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
928	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
929	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
930	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
932	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
933	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
935	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
936	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
938	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
939	#95	C₂³×C₁₃	1	1	yes	characteristic
940	#95	C₂³×C₁₃	1	1	yes	characteristic
941	#95	C₂³×C₁₃	1	1	yes	characteristic
942	#95	C₂³×C₁₃	1	1	yes	characteristic
943	#95	C₂³×C₁₃	1	1	yes	characteristic
944	#95	C₂³×C₁₃	1	1	yes	characteristic
945	#95	C₂³×C₁₃	1	1	yes	characteristic
946	#95	C₂³×C₁₃	1	1	yes	characteristic
947	#95	C₂³×C₁₃	1	1	yes	characteristic
948	#95	C₂³×C₁₃	1	1	yes	characteristic
949	#95	C₂³×C₁₃	1	1	yes	characteristic
950	#95	C₂³×C₁₃	1	1	yes	characteristic
951	#95	C₂³×C₁₃	1	1	yes	characteristic
952	#95	C₂³×C₁₃	1	1	yes	characteristic
953	#95	C₂³×C₁₃	1	1	yes	characteristic
954	#95	C₂³×C₁₃	1	1	yes	characteristic
955	#95	C₂³×C₁₃	1	1	yes	characteristic
956	#95	C₂³×C₁₃	1	1	yes	characteristic
957	#95	C₂³×C₁₃	1	1	yes	characteristic
958	#95	C₂³×C₁₃	1	1	yes	characteristic
959	#95	C₂³×C₁₃	1	1	yes	characteristic
960	#95	C₂³×C₁₃	1	1	yes	characteristic
961	#95	C₂³×C₁₃	1	1	yes	characteristic
962	#95	C₂³×C₁₃	1	1	yes	characteristic
963	#95	C₂³×C₁₃	1	1	yes	characteristic
964	#95	C₂³×C₁₃	1	1	yes	characteristic
965	#95	C₂³×C₁₃	1	1	yes	characteristic
966	#95	C₂³×C₁₃	1	1	yes	characteristic
967	#95	C₂³×C₁₃	1	1	yes	characteristic
968	#95	C₂³×C₁₃	1	1	yes	characteristic
969	#95	C₂³×C₁₃	1	1	yes	characteristic
970	#95	C₂³×C₁₃	1	1	yes	characteristic
971	#95	C₂³×C₁₃	1	1	yes	characteristic
972	#95	C₂³×C₁₃	1	1	yes	characteristic
973	#95	C₂³×C₁₃	1	1	yes	characteristic
974	#95	C₂³×C₁₃	1	1	yes	characteristic
975	#95	C₂³×C₁₃	1	1	yes	characteristic
976	#95	C₂³×C₁₃	1	1	yes	characteristic
977	#95	C₂³×C₁₃	1	1	yes	characteristic
978	#95	C₂³×C₁₃	1	1	yes	characteristic
979	#95	C₂³×C₁₃	1	1	yes	characteristic
980	#95	C₂³×C₁₃	1	1	yes	characteristic
981	#95	C₂³×C₁₃	1	1	yes	characteristic
982	#95	C₂³×C₁₃	1	1	yes	characteristic
983	#95	C₂³×C₁₃	1	1	yes	characteristic
984	#95	C₂³×C₁₃	1	1	yes	characteristic
985	#95	C₂³×C₁₃	1	1	yes	characteristic
986	#95	C₂³×C₁₃	1	1	yes	characteristic
987	#95	C₂³×C₁₃	1	1	yes	characteristic
988	#95	C₂³×C₁₃	1	1	yes	characteristic
989	#95	C₂³×C₁₃	1	1	yes	characteristic
990	#95	C₂³×C₁₃	1	1	yes	characteristic
991	#95	C₂³×C₁₃	1	1	yes	characteristic
992	#95	C₂³×C₁₃	1	1	yes	characteristic
993	#95	C₂³×C₁₃	1	1	yes	characteristic
994	#95	C₂³×C₁₃	1	1	yes	characteristic
995	#95	C₂³×C₁₃	1	1	yes	characteristic
996	#95	C₂³×C₁₃	1	1	yes	characteristic
997	#95	C₂³×C₁₃	1	1	yes	characteristic
998	#95	C₂³×C₁₃	1	1	yes	characteristic
999	C₂×C₁₃	—	4	2	no	—
1000	C₂×C₁₃	#3428	1	1	yes	characteristic
1001	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1002	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1003	C₂×C₁₃	#3553	1	1	yes	characteristic
1004	C₂×C₁₃	#3555	1	1	yes	characteristic
1005	C₂×C₁₃	#3564	1	1	yes	characteristic
1006	C₂×C₁₃	#3566	1	1	yes	characteristic
1007	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1008	C₂×Q₈	—	4	1	no	—
1009	C₂×Q₈	—	4	1	no	—
1010	C₂×Q₈	—	4	1	no	—
1011	C₂×Q₈	—	4	1	no	—
1012	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
1013	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	4	1	no	—
1016	C₂²×C₄	—	4	1	no	—
1017	C₂²×C₄	—	4	1	no	—
1018	C₂²×C₄	—	4	1	no	—
1019	C₂²×C₄	—	4	1	no	—
1020	C₂²×C₄	—	4	1	no	—
1021	C₂²×C₄	—	4	1	no	—
1022	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1023	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1027	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1029	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1032	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1033	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1041	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	4	1	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	4	1	no	—
1066	C₄⋊C₄	—	4	1	no	—
1067	C₄⋊C₄	—	4	1	no	—
1068	C₄⋊C₄	—	4	1	no	—
1069	C₄⋊C₄	—	4	1	no	—
1070	C₄⋊C₄	—	4	1	no	—
1071	C₄⋊C₄	—	4	1	no	—
1072	C₄⋊C₄	—	4	1	no	—
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1080	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1081	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1082	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1083	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1084	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1085	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1086	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1087	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1088	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1089	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1090	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1091	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1092	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1093	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1094	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1095	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1096	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1097	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1098	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	4	1	no	—
1101	C₂²⋊C₄	—	4	1	no	—
1102	C₂²⋊C₄	—	4	1	no	—
1103	C₂²⋊C₄	—	4	1	no	—
1104	C₂²⋊C₄	—	4	1	no	—
1105	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1106	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1107	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1108	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1109	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1110	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1111	C₄²	—	2	2	no	—
1112	C₄²	—	2	2	no	—
1113	C₄²	—	2	2	no	—
1114	C₄²	—	4	1	no	—
1115	C₄²	—	4	1	no	—
1116	C₄²	—	4	1	no	—
1117	C₄²	—	4	1	no	—
1118	C₄²	—	4	1	no	—
1119	C₄²	—	4	1	no	—
1120	C₄²	—	4	1	no	—
1121	C₄²	—	4	1	no	—
1122	C₄²	—	4	1	no	—
1123	C₄²	—	4	1	no	—
1124	C₄²	—	4	1	no	—
1125	C₄²	—	4	1	no	—
1126	C₄²	—	4	1	no	—
1127	C₄²	—	4	1	no	—
1128	C₄²	—	4	1	no	—
1129	C₄²	—	4	1	no	—
1130	C₄²	—	4	1	no	—
1131	C₄²	—	4	1	no	—
1132	C₄²	—	4	1	no	—
1133	C₄²	—	4	1	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	4	1	no	—
1136	C₄²	—	4	1	no	—
1137	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1138	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1139	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1140	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1141	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1142	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1143	C₁₃	#34445	1	1	yes	characteristic, direct product factor, Sylow
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1151	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1152	Q₈	—	4	4	no	—
1153	Q₈	—	4	4	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	4	4	no	—
1229	C₂×C₄	—	8	2	no	—
1230	C₂×C₄	—	8	2	no	—
1231	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1232	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1233	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1234	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1235	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1236	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1237	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1238	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1239	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1240	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1241	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1242	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1243	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1244	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1245	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1246	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	2	no	—
1250	C₂²	—	4	1	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	4	1	no	—
1253	C₂²	—	4	1	no	—
1254	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1255	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1256	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1257	C₂²	C₁₃×#585	1	1	yes	characteristic
1258	C₂²	C₁₃×#585	1	1	yes	characteristic
1259	C₂²	C₁₃×#585	1	1	yes	characteristic
1260	C₂²	C₁₃×#585	1	1	yes	characteristic
1261	C₄	—	2	2	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	2	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	2	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	2	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₂	—	4	2	no	—
1292	C₂	C₁₃×#3428	1	1	yes	characteristic
1293	C₂	C₄×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1294	C₂	C₄×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1295	C₂	C₁₃×#3553	1	1	yes	characteristic
1296	C₂	C₁₃×#3555	1	1	yes	characteristic
1297	C₂	C₁₃×#3564	1	1	yes	characteristic
1298	C₂	C₁₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂⁴×C₁₃	C₂⁴
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₃×#2382	C₂	semidirect
4. C₁₃×#2381	C₂	semidirect
9. C₁₃×#2371	C₂	semidirect
10. C₁₃×#2370	C₂	semidirect
11. C₁₃×#2370	C₂	semidirect
12. C₁₃×#2369	C₂	semidirect
14. C₁₃×#2356	C₂	semidirect
15. C₁₃×#2355	C₂	semidirect
18. C₁₃×#2336	C₂	semidirect
19. C₁₃×#2336	C₂	semidirect
20. C₁₃×#2336	C₂	semidirect
21. C₁₃×#2336	C₂	semidirect
26. C₁₃×#2330	C₂	semidirect
28. C₁₃×#2320	C₂	semidirect
29. C₄×C₁₃×#125	C₂	semidirect
31. C₁₃×#2295	C₂	semidirect
32. C₁₃×#541	C₄	semidirect
193. C₁₃×C₄⋊Q₈	C₂×C₄	semidirect
198. C₁₃×#125	C₂×C₄	semidirect
199. C₁₃×#125	C₂×C₄	semidirect
200. C₁₃×#125	C₂×C₄	semidirect
201. C₁₃×#125	C₂×C₄	semidirect
202. C₁₃×#125	C₂×C₄	semidirect
205. C₄×Q₈×C₁₃	C₂×C₄	semidirect
206. C₄×Q₈×C₁₃	C₂×C₄	semidirect
358. #34445	C₁₃	direct (N × H)
497. #2382	C₂×C₁₃	semidirect
498. #2381	C₂×C₁₃	semidirect
503. #2371	C₂×C₁₃	semidirect
504. #2370	C₂×C₁₃	semidirect
505. #2370	C₂×C₁₃	semidirect
506. #2369	C₂×C₁₃	semidirect
508. #2356	C₂×C₁₃	semidirect
509. #2355	C₂×C₁₃	semidirect
512. #2336	C₂×C₁₃	semidirect
513. #2336	C₂×C₁₃	semidirect
514. #2336	C₂×C₁₃	semidirect
515. #2336	C₂×C₁₃	semidirect
520. #2330	C₂×C₁₃	semidirect
522. #2320	C₂×C₁₃	semidirect
523. C₄×#125	C₂×C₁₃	semidirect
525. #2295	C₂×C₁₃	semidirect
629. #541	C₄×C₁₃	semidirect
834. C₄⋊Q₈	C₂×C₄×C₁₃	semidirect
839. #125	C₂×C₄×C₁₃	semidirect
840. #125	C₂×C₄×C₁₃	semidirect
841. #125	C₂×C₄×C₁₃	semidirect
842. #125	C₂×C₄×C₁₃	semidirect
843. #125	C₂×C₄×C₁₃	semidirect
846. C₄×Q₈	C₂×C₄×C₁₃	semidirect
847. C₄×Q₈	C₂×C₄×C₁₃	semidirect
1143. C₁₃	#34445	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₁₃×#541	2
C₁₃×#2383	2
C₁₃×#2382	2
C₁₃×#2381	2
C₁₃×#2378	2
C₁₃×#2373	2
C₁₃×#2371	2
C₁₃×#2370	2
C₁₃×#2369	2
C₁₃×#2368	2
C₁₃×#2356	2
C₁₃×#2355	2
C₁₃×#2347	2
C₁₃×#2343	2
C₁₃×#2336	2
C₁₃×#2334	2
C₁₃×#2332	2
C₁₃×#2330	2
C₁₃×#2329	2
C₁₃×#2320	2
C₄×C₁₃×#125	2
C₄×C₁₃×#126	2
C₁₃×#2295	2
#34445	13

Subgroups — C13×#34445 #15720784

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34445 #15720784