Subgroups — C₁₃×#34504 #15720843

Order 3328.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#551	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2383	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2378	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2376	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2375	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#2374	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2367	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2362	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2354	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2353	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2347	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2347	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2342	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2337	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2332	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2323	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2321	C₂	1	1	yes	maximal, characteristic
25	C₁₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2314	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2312	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2312	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₁₃×#126	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2298	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#551	C₄	1	16	yes	complemented
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
42	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
49	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
52	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#390	C₂²	1	1	yes	characteristic
58	C₁₃×#390	C₂²	1	1	yes	characteristic
59	C₁₃×#390	C₂²	1	1	yes	characteristic
60	C₁₃×#390	C₂²	1	1	yes	characteristic
61	C₁₃×#390	C₂²	1	1	yes	characteristic
62	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#388	C₂²	1	1	yes	characteristic
71	C₁₃×#388	C₂²	1	1	yes	characteristic
72	C₁₃×#388	C₂²	1	1	yes	characteristic
73	C₁₃×#388	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×#388	C₂²	1	1	yes	characteristic
87	C₁₃×#388	C₂²	1	1	yes	characteristic
88	C₁₃×#388	C₂²	1	1	yes	characteristic
89	C₁₃×#388	C₂²	1	1	yes	characteristic
90	C₁₃×#388	C₂²	1	1	yes	characteristic
91	C₁₃×#388	C₂²	1	1	yes	characteristic
92	C₁₃×#388	C₂²	1	1	yes	characteristic
93	C₁₃×#388	C₂²	1	1	yes	characteristic
94	C₁₃×#388	C₂²	1	1	yes	characteristic
95	C₁₃×#388	C₂²	1	1	yes	characteristic
96	C₁₃×#388	C₂²	1	1	yes	characteristic
97	C₁₃×#388	C₂²	1	1	yes	characteristic
98	C₁₃×#388	C₂²	1	1	yes	characteristic
99	C₁₃×#388	C₂²	1	1	yes	characteristic
100	C₁₃×#388	C₂²	1	1	yes	characteristic
101	C₁₃×#388	C₂²	1	1	yes	characteristic
102	C₁₃×#388	C₂²	1	1	yes	characteristic
103	C₁₃×#388	C₂²	1	1	yes	characteristic
104	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#386	C₂²	1	1	yes	characteristic
127	C₁₃×#386	C₂²	1	1	yes	characteristic
128	C₁₃×#386	C₂²	1	1	yes	characteristic
129	C₁₃×#386	C₂²	1	1	yes	characteristic
130	C₁₃×#386	C₂²	1	1	yes	characteristic
131	C₁₃×#386	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×#385	C₂²	1	1	yes	characteristic
137	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#384	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#381	C₂²	1	1	yes	characteristic
146	C₁₃×#381	C₂²	1	1	yes	characteristic
147	C₁₃×#380	C₂²	1	1	yes	characteristic
148	C₁₃×#380	C₂²	1	1	yes	characteristic
149	C₁₃×#380	C₂²	1	1	yes	characteristic
150	C₁₃×#380	C₂²	1	1	yes	characteristic
151	C₁₃×#380	C₂²	1	1	yes	characteristic
152	C₁₃×#380	C₂²	1	1	yes	characteristic
153	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#379	C₂²	1	1	yes	characteristic
155	C₁₃×#379	C₂²	1	1	yes	characteristic
156	C₁₃×#379	C₂²	1	1	yes	characteristic
157	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₁₃×C₂²⋊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, complemented
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic, complemented
187	C₄³×C₁₃	C₂²	1	1	yes	characteristic, complemented
188	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₁₃×#126	C₂×C₄	1	8	yes	complemented
203	C₁₃×#126	C₂×C₄	1	8	yes	complemented
204	C₁₃×#124	C₂×C₄	1	8	yes	—
205	C₁₃×#123	C₂×C₄	1	8	yes	—
206	C₁₃×#123	C₂×C₄	1	8	yes	complemented
207	C₁₃×#123	C₂×C₄	1	8	yes	complemented
208	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
209	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
210	C₁₃×#120	C₂×C₄	1	8	yes	—
211	C₄×Q₈×C₁₃	—	4	2	no	—
212	C₄×D₄×C₁₃	—	4	2	no	—
213	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
214	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
215	C₁₃×#117	—	4	2	no	—
216	C₁₃×#117	—	4	2	no	—
217	C₁₃×#117	—	4	2	no	—
218	C₁₃×#117	C₂×C₄	1	8	yes	complemented
219	C₁₃×#117	C₂×C₄	1	8	yes	complemented
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×C₂²⋊C₄	—	4	2	no	—
251	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
252	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
253	C₂×C₁₃×C₂²⋊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×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₂²⋊C₄	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	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₁₃	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	C₁₃×#95	C₂³	1	1	yes	characteristic
359	C₁₃×#95	C₂³	1	1	yes	characteristic
360	C₁₃×#95	C₂³	1	1	yes	characteristic
361	C₁₃×#95	C₂³	1	1	yes	characteristic
362	C₁₃×#95	C₂³	1	1	yes	characteristic
363	C₁₃×#95	C₂³	1	1	yes	characteristic
364	#34504	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
365	C₂⁴×C₁₃	—	4	1	no	—
366	C₂⁴×C₁₃	—	4	1	no	—
367	C₂⁴×C₁₃	—	4	1	no	—
368	C₂⁴×C₁₃	—	4	1	no	—
369	C₂⁴×C₁₃	—	4	1	no	—
370	C₂⁴×C₁₃	—	4	1	no	—
371	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
372	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×Q₈×C₁₃	—	4	1	no	—
377	C₂×Q₈×C₁₃	—	4	1	no	—
378	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	—
379	C₂×D₄×C₁₃	—	4	1	no	—
380	C₂×D₄×C₁₃	—	4	1	no	—
381	C₂×D₄×C₁₃	—	4	1	no	—
382	C₂×D₄×C₁₃	—	4	1	no	—
383	C₂×D₄×C₁₃	—	4	1	no	—
384	C₂×D₄×C₁₃	—	4	1	no	—
385	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
386	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
387	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	4	1	no	—
390	C₂²×C₄×C₁₃	—	4	1	no	—
391	C₂²×C₄×C₁₃	—	4	1	no	—
392	C₂²×C₄×C₁₃	—	4	1	no	—
393	C₂²×C₄×C₁₃	—	4	1	no	—
394	C₂²×C₄×C₁₃	—	4	1	no	—
395	C₂²×C₄×C₁₃	—	4	1	no	—
396	C₂²×C₄×C₁₃	—	4	1	no	—
397	C₂²×C₄×C₁₃	—	4	1	no	—
398	C₂²×C₄×C₁₃	—	4	1	no	—
399	C₂²×C₄×C₁₃	—	4	1	no	—
400	C₂²×C₄×C₁₃	—	4	1	no	—
401	C₂²×C₄×C₁₃	—	4	1	no	—
402	C₂²×C₄×C₁₃	—	4	1	no	—
403	C₂²×C₄×C₁₃	—	4	1	no	—
404	C₂²×C₄×C₁₃	—	4	1	no	—
405	C₂²×C₄×C₁₃	—	4	1	no	—
406	C₂²×C₄×C₁₃	—	4	1	no	—
407	C₂²×C₄×C₁₃	—	4	1	no	—
408	C₂²×C₄×C₁₃	—	4	1	no	—
409	C₂²×C₄×C₁₃	—	4	1	no	—
410	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
411	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
412	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
413	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
414	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
415	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	—	2	2	no	—
443	C₁₃×C₄⋊C₄	—	2	2	no	—
444	C₁₃×C₄⋊C₄	—	2	2	no	—
445	C₁₃×C₄⋊C₄	—	4	1	no	—
446	C₁₃×C₄⋊C₄	—	4	1	no	—
447	C₁₃×C₄⋊C₄	—	4	1	no	—
448	C₁₃×C₄⋊C₄	—	4	1	no	—
449	C₁₃×C₄⋊C₄	—	4	1	no	—
450	C₁₃×C₄⋊C₄	—	4	1	no	—
451	C₁₃×C₄⋊C₄	—	4	1	no	—
452	C₁₃×C₄⋊C₄	—	4	1	no	—
453	C₁₃×C₄⋊C₄	—	4	1	no	—
454	C₁₃×C₄⋊C₄	—	4	1	no	—
455	C₁₃×C₄⋊C₄	—	4	1	no	—
456	C₁₃×C₄⋊C₄	—	4	1	no	—
457	C₁₃×C₄⋊C₄	—	4	1	no	—
458	C₁₃×C₄⋊C₄	—	4	1	no	—
459	C₁₃×C₄⋊C₄	—	4	1	no	—
460	C₁₃×C₄⋊C₄	—	4	1	no	—
461	C₁₃×C₄⋊C₄	—	4	1	no	—
462	C₁₃×C₄⋊C₄	—	4	1	no	—
463	C₁₃×C₄⋊C₄	—	4	1	no	—
464	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
465	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
467	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
468	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
469	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
470	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
471	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	4	1	no	—
476	C₁₃×C₂²⋊C₄	—	4	1	no	—
477	C₁₃×C₂²⋊C₄	—	4	1	no	—
478	C₁₃×C₂²⋊C₄	—	4	1	no	—
479	C₁₃×C₂²⋊C₄	—	4	1	no	—
480	C₁₃×C₂²⋊C₄	—	4	1	no	—
481	C₁₃×C₂²⋊C₄	—	4	1	no	—
482	C₁₃×C₂²⋊C₄	—	4	1	no	—
483	C₁₃×C₂²⋊C₄	—	4	1	no	—
484	C₁₃×C₂²⋊C₄	—	4	1	no	—
485	C₁₃×C₂²⋊C₄	—	4	1	no	—
486	C₁₃×C₂²⋊C₄	—	4	1	no	—
487	C₁₃×C₂²⋊C₄	—	4	1	no	—
488	C₁₃×C₂²⋊C₄	—	4	1	no	—
489	C₁₃×C₂²⋊C₄	—	4	1	no	—
490	C₁₃×C₂²⋊C₄	—	4	1	no	—
491	C₁₃×C₂²⋊C₄	—	4	1	no	—
492	C₁₃×C₂²⋊C₄	—	4	1	no	—
493	C₁₃×C₂²⋊C₄	—	4	1	no	—
494	C₁₃×C₂²⋊C₄	—	4	1	no	—
495	C₁₃×C₂²⋊C₄	—	4	1	no	—
496	C₁₃×C₂²⋊C₄	—	4	1	no	—
497	C₁₃×C₂²⋊C₄	—	4	1	no	—
498	C₁₃×C₂²⋊C₄	—	4	1	no	—
499	C₁₃×C₂²⋊C₄	—	4	1	no	—
500	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
501	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
502	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
503	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
504	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
505	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
506	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
507	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
508	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
509	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
510	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
511	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
512	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
513	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
514	C₄²×C₁₃	—	2	2	no	—
515	C₄²×C₁₃	—	2	2	no	—
516	C₄²×C₁₃	—	4	1	no	—
517	C₄²×C₁₃	—	4	1	no	—
518	C₄²×C₁₃	—	4	1	no	—
519	C₄²×C₁₃	—	4	1	no	—
520	C₄²×C₁₃	—	4	1	no	—
521	C₄²×C₁₃	—	4	1	no	—
522	C₄²×C₁₃	—	4	1	no	—
523	C₄²×C₁₃	—	4	1	no	—
524	C₄²×C₁₃	—	4	1	no	—
525	C₄²×C₁₃	—	4	1	no	—
526	C₄²×C₁₃	—	4	1	no	—
527	C₄²×C₁₃	—	4	1	no	—
528	C₄²×C₁₃	—	4	1	no	—
529	C₄²×C₁₃	—	4	1	no	—
530	C₄²×C₁₃	—	4	1	no	—
531	C₄²×C₁₃	—	4	1	no	—
532	C₄²×C₁₃	—	4	1	no	—
533	C₄²×C₁₃	—	4	1	no	—
534	C₄²×C₁₃	—	4	1	no	—
535	C₄²×C₁₃	—	4	1	no	—
536	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
537	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
538	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
539	C₂×#551	C₂×C₁₃	1	1	yes	characteristic
540	#2383	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#2378	C₂×C₁₃	1	1	yes	characteristic, complemented
542	#2376	C₂×C₁₃	1	1	yes	characteristic, complemented
543	#2375	C₂×C₁₃	1	1	yes	characteristic
544	#2374	C₂×C₁₃	1	1	yes	characteristic, complemented
545	#2373	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#2367	C₂×C₁₃	1	1	yes	characteristic, complemented
547	#2362	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#2359	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#2354	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#2353	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#2347	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#2347	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#2342	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#2342	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#2337	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#2334	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#2332	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#2323	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#2321	C₂×C₁₃	1	1	yes	characteristic
563	#2318	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#2314	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2312	C₂×C₁₃	1	1	yes	characteristic, complemented
566	#2312	C₂×C₁₃	1	1	yes	characteristic, complemented
567	C₄×#126	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2298	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#2293	C₂×C₁₃	1	1	yes	characteristic, complemented
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	2	1	no	—
574	C₂³×C₁₃	—	2	1	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	1	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	—	2	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	—	2	1	no	—
586	C₂³×C₁₃	—	2	1	no	—
587	C₂³×C₁₃	—	2	1	no	—
588	C₂³×C₁₃	—	2	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	—	2	1	no	—
593	C₂³×C₁₃	—	2	1	no	—
594	C₂³×C₁₃	—	4	4	no	—
595	C₂³×C₁₃	—	4	4	no	—
596	C₂³×C₁₃	—	4	4	no	—
597	C₂³×C₁₃	—	8	2	no	—
598	C₂³×C₁₃	—	8	2	no	—
599	C₂³×C₁₃	—	8	2	no	—
600	C₂³×C₁₃	—	8	2	no	—
601	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
602	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
603	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
604	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
605	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
606	Q₈×C₁₃	—	4	4	no	—
607	D₄×C₁₃	—	4	4	no	—
608	D₄×C₁₃	—	4	4	no	—
609	D₄×C₁₃	—	4	4	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	2	1	no	—
674	C₂×C₄×C₁₃	—	2	1	no	—
675	C₂×C₄×C₁₃	—	2	1	no	—
676	C₂×C₄×C₁₃	—	2	1	no	—
677	C₂×C₄×C₁₃	—	2	1	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	4	4	no	—
680	C₂×C₄×C₁₃	—	4	4	no	—
681	C₂×C₄×C₁₃	—	4	4	no	—
682	C₂×C₄×C₁₃	—	4	4	no	—
683	C₂×C₄×C₁₃	—	4	4	no	—
684	C₂×C₄×C₁₃	—	8	2	no	—
685	C₂×C₄×C₁₃	—	8	2	no	—
686	C₂×C₄×C₁₃	—	8	2	no	—
687	C₂×C₄×C₁₃	—	8	2	no	—
688	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
689	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
690	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
691	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
692	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
693	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
694	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
695	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
696	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
697	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
698	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
699	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
700	#551	C₄×C₁₃	1	16	yes	complemented
701	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
702	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
703	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
704	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
705	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
706	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
707	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
708	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
709	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
710	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
712	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
713	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
714	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
715	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
716	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
717	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
718	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
720	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
721	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
722	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#390	C₂²×C₁₃	1	1	yes	characteristic
726	#390	C₂²×C₁₃	1	1	yes	characteristic
727	#390	C₂²×C₁₃	1	1	yes	characteristic
728	#390	C₂²×C₁₃	1	1	yes	characteristic
729	#390	C₂²×C₁₃	1	1	yes	characteristic
730	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
732	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
735	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#388	C₂²×C₁₃	1	1	yes	characteristic
739	#388	C₂²×C₁₃	1	1	yes	characteristic
740	#388	C₂²×C₁₃	1	1	yes	characteristic
741	#388	C₂²×C₁₃	1	1	yes	characteristic
742	#388	C₂²×C₁₃	1	1	yes	characteristic
743	#388	C₂²×C₁₃	1	1	yes	characteristic
744	#388	C₂²×C₁₃	1	1	yes	characteristic
745	#388	C₂²×C₁₃	1	1	yes	characteristic
746	#388	C₂²×C₁₃	1	1	yes	characteristic
747	#388	C₂²×C₁₃	1	1	yes	characteristic
748	#388	C₂²×C₁₃	1	1	yes	characteristic
749	#388	C₂²×C₁₃	1	1	yes	characteristic
750	#388	C₂²×C₁₃	1	1	yes	characteristic
751	#388	C₂²×C₁₃	1	1	yes	characteristic
752	#388	C₂²×C₁₃	1	1	yes	characteristic
753	#388	C₂²×C₁₃	1	1	yes	characteristic
754	#388	C₂²×C₁₃	1	1	yes	characteristic
755	#388	C₂²×C₁₃	1	1	yes	characteristic
756	#388	C₂²×C₁₃	1	1	yes	characteristic
757	#388	C₂²×C₁₃	1	1	yes	characteristic
758	#388	C₂²×C₁₃	1	1	yes	characteristic
759	#388	C₂²×C₁₃	1	1	yes	characteristic
760	#388	C₂²×C₁₃	1	1	yes	characteristic
761	#388	C₂²×C₁₃	1	1	yes	characteristic
762	#388	C₂²×C₁₃	1	1	yes	characteristic
763	#388	C₂²×C₁₃	1	1	yes	characteristic
764	#388	C₂²×C₁₃	1	1	yes	characteristic
765	#388	C₂²×C₁₃	1	1	yes	characteristic
766	#388	C₂²×C₁₃	1	1	yes	characteristic
767	#388	C₂²×C₁₃	1	1	yes	characteristic
768	#388	C₂²×C₁₃	1	1	yes	characteristic
769	#388	C₂²×C₁₃	1	1	yes	characteristic
770	#388	C₂²×C₁₃	1	1	yes	characteristic
771	#388	C₂²×C₁₃	1	1	yes	characteristic
772	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
776	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
777	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
790	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#386	C₂²×C₁₃	1	1	yes	characteristic
795	#386	C₂²×C₁₃	1	1	yes	characteristic
796	#386	C₂²×C₁₃	1	1	yes	characteristic
797	#386	C₂²×C₁₃	1	1	yes	characteristic
798	#386	C₂²×C₁₃	1	1	yes	characteristic
799	#386	C₂²×C₁₃	1	1	yes	characteristic
800	#385	C₂²×C₁₃	1	1	yes	characteristic
801	#385	C₂²×C₁₃	1	1	yes	characteristic
802	#385	C₂²×C₁₃	1	1	yes	characteristic
803	#385	C₂²×C₁₃	1	1	yes	characteristic
804	#385	C₂²×C₁₃	1	1	yes	characteristic
805	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
806	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
807	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
808	#384	C₂²×C₁₃	1	1	yes	characteristic, complemented
809	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
810	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
811	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
812	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
813	#381	C₂²×C₁₃	1	1	yes	characteristic
814	#381	C₂²×C₁₃	1	1	yes	characteristic
815	#380	C₂²×C₁₃	1	1	yes	characteristic
816	#380	C₂²×C₁₃	1	1	yes	characteristic
817	#380	C₂²×C₁₃	1	1	yes	characteristic
818	#380	C₂²×C₁₃	1	1	yes	characteristic
819	#380	C₂²×C₁₃	1	1	yes	characteristic
820	#380	C₂²×C₁₃	1	1	yes	characteristic
821	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
822	#379	C₂²×C₁₃	1	1	yes	characteristic
823	#379	C₂²×C₁₃	1	1	yes	characteristic
824	#379	C₂²×C₁₃	1	1	yes	characteristic
825	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
826	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
827	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
828	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
829	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
830	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
831	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
832	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
833	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
834	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
837	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
838	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
839	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
840	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
841	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
842	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
843	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
844	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
845	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
846	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
847	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
848	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
849	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#376	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	C₄³	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	C₂²×C₁₃	—	2	2	no	—
857	C₂²×C₁₃	—	2	2	no	—
858	C₂²×C₁₃	—	2	2	no	—
859	C₂²×C₁₃	—	2	2	no	—
860	C₂²×C₁₃	—	2	2	no	—
861	C₂²×C₁₃	—	2	2	no	—
862	C₂²×C₁₃	—	2	2	no	—
863	C₂²×C₁₃	—	2	2	no	—
864	C₂²×C₁₃	—	2	2	no	—
865	C₂²×C₁₃	—	2	2	no	—
866	C₂²×C₁₃	—	2	2	no	—
867	C₂²×C₁₃	—	2	2	no	—
868	C₂²×C₁₃	—	4	1	no	—
869	C₂²×C₁₃	—	4	1	no	—
870	C₂²×C₁₃	—	4	1	no	—
871	C₂²×C₁₃	—	4	1	no	—
872	C₂²×C₁₃	—	4	1	no	—
873	C₂²×C₁₃	—	4	1	no	—
874	C₂²×C₁₃	—	4	1	no	—
875	C₂²×C₁₃	—	4	1	no	—
876	C₂²×C₁₃	—	4	1	no	—
877	C₂²×C₁₃	—	4	1	no	—
878	C₂²×C₁₃	—	4	1	no	—
879	C₂²×C₁₃	—	4	1	no	—
880	C₂²×C₁₃	—	4	1	no	—
881	C₂²×C₁₃	—	4	1	no	—
882	C₂²×C₁₃	—	4	1	no	—
883	C₂²×C₁₃	—	4	1	no	—
884	C₂²×C₁₃	—	8	8	no	—
885	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
886	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
887	C₂²×C₁₃	#585	1	1	yes	characteristic
888	C₂²×C₁₃	#585	1	1	yes	characteristic
889	C₂²×C₁₃	#585	1	1	yes	characteristic
890	C₂²×C₁₃	#585	1	1	yes	characteristic
891	C₂²×C₁₃	#585	1	1	yes	characteristic
892	C₄×C₁₃	—	2	2	no	—
893	C₄×C₁₃	—	2	2	no	—
894	C₄×C₁₃	—	2	2	no	—
895	C₄×C₁₃	—	2	2	no	—
896	C₄×C₁₃	—	2	2	no	—
897	C₄×C₁₃	—	2	2	no	—
898	C₄×C₁₃	—	2	2	no	—
899	C₄×C₁₃	—	2	2	no	—
900	C₄×C₁₃	—	2	2	no	—
901	C₄×C₁₃	—	2	2	no	—
902	C₄×C₁₃	—	2	2	no	—
903	C₄×C₁₃	—	2	2	no	—
904	C₄×C₁₃	—	4	1	no	—
905	C₄×C₁₃	—	4	1	no	—
906	C₄×C₁₃	—	4	1	no	—
907	C₄×C₁₃	—	4	1	no	—
908	C₄×C₁₃	—	4	1	no	—
909	C₄×C₁₃	—	4	1	no	—
910	C₄×C₁₃	—	4	1	no	—
911	C₄×C₁₃	—	4	1	no	—
912	C₄×C₁₃	—	4	1	no	—
913	C₄×C₁₃	—	4	1	no	—
914	C₄×C₁₃	—	4	1	no	—
915	C₄×C₁₃	—	4	1	no	—
916	C₄×C₁₃	—	4	1	no	—
917	C₄×C₁₃	—	4	1	no	—
918	C₄×C₁₃	—	4	1	no	—
919	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
920	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
921	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
925	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
926	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
927	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
928	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
929	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
930	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
931	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
932	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
933	#126	C₂×C₄×C₁₃	1	8	yes	complemented
934	#126	C₂×C₄×C₁₃	1	8	yes	complemented
935	#124	C₂×C₄×C₁₃	1	8	yes	—
936	#123	C₂×C₄×C₁₃	1	8	yes	—
937	#123	C₂×C₄×C₁₃	1	8	yes	complemented
938	#123	C₂×C₄×C₁₃	1	8	yes	complemented
939	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
940	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
941	#120	C₂×C₄×C₁₃	1	8	yes	—
942	C₄×Q₈	—	4	2	no	—
943	C₄×D₄	—	4	2	no	—
944	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
945	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
946	#117	—	4	2	no	—
947	#117	—	4	2	no	—
948	#117	—	4	2	no	—
949	#117	C₂×C₄×C₁₃	1	8	yes	complemented
950	#117	C₂×C₄×C₁₃	1	8	yes	complemented
951	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
974	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	—	4	2	no	—
982	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	8	yes	complemented
983	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	8	yes	complemented
984	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1051	#95	C₂³×C₁₃	1	1	yes	characteristic
1052	#95	C₂³×C₁₃	1	1	yes	characteristic
1053	#95	C₂³×C₁₃	1	1	yes	characteristic
1054	#95	C₂³×C₁₃	1	1	yes	characteristic
1055	#95	C₂³×C₁₃	1	1	yes	characteristic
1056	#95	C₂³×C₁₃	1	1	yes	characteristic
1057	#95	C₂³×C₁₃	1	1	yes	characteristic
1058	#95	C₂³×C₁₃	1	1	yes	characteristic
1059	#95	C₂³×C₁₃	1	1	yes	characteristic
1060	#95	C₂³×C₁₃	1	1	yes	characteristic
1061	#95	C₂³×C₁₃	1	1	yes	characteristic
1062	#95	C₂³×C₁₃	1	1	yes	characteristic
1063	#95	C₂³×C₁₃	1	1	yes	characteristic
1064	#95	C₂³×C₁₃	1	1	yes	characteristic
1065	#95	C₂³×C₁₃	1	1	yes	characteristic
1066	#95	C₂³×C₁₃	1	1	yes	characteristic
1067	#95	C₂³×C₁₃	1	1	yes	characteristic
1068	#95	C₂³×C₁₃	1	1	yes	characteristic
1069	#95	C₂³×C₁₃	1	1	yes	characteristic
1070	#95	C₂³×C₁₃	1	1	yes	characteristic
1071	#95	C₂³×C₁₃	1	1	yes	characteristic
1072	#95	C₂³×C₁₃	1	1	yes	characteristic
1073	#95	C₂³×C₁₃	1	1	yes	characteristic
1074	#95	C₂³×C₁₃	1	1	yes	characteristic
1075	#95	C₂³×C₁₃	1	1	yes	characteristic
1076	#95	C₂³×C₁₃	1	1	yes	characteristic
1077	#95	C₂³×C₁₃	1	1	yes	characteristic
1078	#95	C₂³×C₁₃	1	1	yes	characteristic
1079	#95	C₂³×C₁₃	1	1	yes	characteristic
1080	#95	C₂³×C₁₃	1	1	yes	characteristic
1081	#95	C₂³×C₁₃	1	1	yes	characteristic
1082	#95	C₂³×C₁₃	1	1	yes	characteristic
1083	#95	C₂³×C₁₃	1	1	yes	characteristic
1084	#95	C₂³×C₁₃	1	1	yes	characteristic
1085	#95	C₂³×C₁₃	1	1	yes	characteristic
1086	#95	C₂³×C₁₃	1	1	yes	characteristic
1087	#95	C₂³×C₁₃	1	1	yes	characteristic
1088	#95	C₂³×C₁₃	1	1	yes	characteristic
1089	#95	C₂³×C₁₃	1	1	yes	characteristic
1090	#95	C₂³×C₁₃	1	1	yes	characteristic
1091	#95	C₂³×C₁₃	1	1	yes	characteristic
1092	#95	C₂³×C₁₃	1	1	yes	characteristic
1093	#95	C₂³×C₁₃	1	1	yes	characteristic
1094	#95	C₂³×C₁₃	1	1	yes	characteristic
1095	C₂×C₁₃	—	4	2	no	—
1096	C₂×C₁₃	—	4	2	no	—
1097	C₂×C₁₃	—	4	2	no	—
1098	C₂×C₁₃	—	4	2	no	—
1099	C₂×C₁₃	#3428	1	1	yes	characteristic
1100	C₂×C₁₃	#3428	1	1	yes	characteristic
1101	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1102	C₂×C₁₃	#3560	1	1	yes	characteristic
1103	C₂×C₁₃	#3562	1	1	yes	characteristic
1104	C₂×C₁₃	#3566	1	1	yes	characteristic
1105	C₂×C₁₃	#3568	1	1	yes	characteristic
1106	C₂⁴	—	4	1	no	—
1107	C₂⁴	—	4	1	no	—
1108	C₂⁴	—	4	1	no	—
1109	C₂⁴	—	4	1	no	—
1110	C₂⁴	—	4	1	no	—
1111	C₂⁴	—	4	1	no	—
1112	C₂⁴	C₂²×C₄×C₁₃	1	4	yes	—
1113	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1114	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₂×Q₈	—	4	1	no	—
1118	C₂×Q₈	—	4	1	no	—
1119	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	—
1120	C₂×D₄	—	4	1	no	—
1121	C₂×D₄	—	4	1	no	—
1122	C₂×D₄	—	4	1	no	—
1123	C₂×D₄	—	4	1	no	—
1124	C₂×D₄	—	4	1	no	—
1125	C₂×D₄	—	4	1	no	—
1126	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1127	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1128	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1129	C₂²×C₄	—	2	2	no	—
1130	C₂²×C₄	—	4	1	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	—	4	1	no	—
1133	C₂²×C₄	—	4	1	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	1	no	—
1139	C₂²×C₄	—	4	1	no	—
1140	C₂²×C₄	—	4	1	no	—
1141	C₂²×C₄	—	4	1	no	—
1142	C₂²×C₄	—	4	1	no	—
1143	C₂²×C₄	—	4	1	no	—
1144	C₂²×C₄	—	4	1	no	—
1145	C₂²×C₄	—	4	1	no	—
1146	C₂²×C₄	—	4	1	no	—
1147	C₂²×C₄	—	4	1	no	—
1148	C₂²×C₄	—	4	1	no	—
1149	C₂²×C₄	—	4	1	no	—
1150	C₂²×C₄	—	4	1	no	—
1151	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1152	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1153	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1154	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1155	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1156	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1161	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1162	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1163	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1164	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1168	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1170	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1183	C₄⋊C₄	—	2	2	no	—
1184	C₄⋊C₄	—	2	2	no	—
1185	C₄⋊C₄	—	2	2	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₄⋊C₄	—	4	1	no	—
1192	C₄⋊C₄	—	4	1	no	—
1193	C₄⋊C₄	—	4	1	no	—
1194	C₄⋊C₄	—	4	1	no	—
1195	C₄⋊C₄	—	4	1	no	—
1196	C₄⋊C₄	—	4	1	no	—
1197	C₄⋊C₄	—	4	1	no	—
1198	C₄⋊C₄	—	4	1	no	—
1199	C₄⋊C₄	—	4	1	no	—
1200	C₄⋊C₄	—	4	1	no	—
1201	C₄⋊C₄	—	4	1	no	—
1202	C₄⋊C₄	—	4	1	no	—
1203	C₄⋊C₄	—	4	1	no	—
1204	C₄⋊C₄	—	4	1	no	—
1205	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1206	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1207	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1208	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1209	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1210	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1211	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1212	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	2	2	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₂²⋊C₄	—	4	1	no	—
1234	C₂²⋊C₄	—	4	1	no	—
1235	C₂²⋊C₄	—	4	1	no	—
1236	C₂²⋊C₄	—	4	1	no	—
1237	C₂²⋊C₄	—	4	1	no	—
1238	C₂²⋊C₄	—	4	1	no	—
1239	C₂²⋊C₄	—	4	1	no	—
1240	C₂²⋊C₄	—	4	1	no	—
1241	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1242	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1243	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1244	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1245	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1246	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1247	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1248	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1249	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1250	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1251	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1252	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1253	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1254	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1255	C₄²	—	2	2	no	—
1256	C₄²	—	2	2	no	—
1257	C₄²	—	4	1	no	—
1258	C₄²	—	4	1	no	—
1259	C₄²	—	4	1	no	—
1260	C₄²	—	4	1	no	—
1261	C₄²	—	4	1	no	—
1262	C₄²	—	4	1	no	—
1263	C₄²	—	4	1	no	—
1264	C₄²	—	4	1	no	—
1265	C₄²	—	4	1	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	4	1	no	—
1268	C₄²	—	4	1	no	—
1269	C₄²	—	4	1	no	—
1270	C₄²	—	4	1	no	—
1271	C₄²	—	4	1	no	—
1272	C₄²	—	4	1	no	—
1273	C₄²	—	4	1	no	—
1274	C₄²	—	4	1	no	—
1275	C₄²	—	4	1	no	—
1276	C₄²	—	4	1	no	—
1277	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1278	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1279	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1280	C₁₃	#34504	1	1	yes	characteristic, direct product factor, Sylow
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	1	no	—
1292	C₂³	—	2	1	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	1	no	—
1295	C₂³	—	2	1	no	—
1296	C₂³	—	2	1	no	—
1297	C₂³	—	2	1	no	—
1298	C₂³	—	2	1	no	—
1299	C₂³	—	2	1	no	—
1300	C₂³	—	2	1	no	—
1301	C₂³	—	2	1	no	—
1302	C₂³	—	2	1	no	—
1303	C₂³	—	2	1	no	—
1304	C₂³	—	2	1	no	—
1305	C₂³	—	4	4	no	—
1306	C₂³	—	4	4	no	—
1307	C₂³	—	4	4	no	—
1308	C₂³	—	8	2	no	—
1309	C₂³	—	8	2	no	—
1310	C₂³	—	8	2	no	—
1311	C₂³	—	8	2	no	—
1312	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1313	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1314	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1315	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1316	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1317	Q₈	—	4	4	no	—
1318	D₄	—	4	4	no	—
1319	D₄	—	4	4	no	—
1320	D₄	—	4	4	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	4	4	no	—
1391	C₂×C₄	—	4	4	no	—
1392	C₂×C₄	—	4	4	no	—
1393	C₂×C₄	—	4	4	no	—
1394	C₂×C₄	—	4	4	no	—
1395	C₂×C₄	—	8	2	no	—
1396	C₂×C₄	—	8	2	no	—
1397	C₂×C₄	—	8	2	no	—
1398	C₂×C₄	—	8	2	no	—
1399	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1400	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1401	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1402	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1403	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1404	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1405	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1406	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1407	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1408	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1409	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1410	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	1	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	8	8	no	—
1440	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1441	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1442	C₂²	C₁₃×#585	1	1	yes	characteristic
1443	C₂²	C₁₃×#585	1	1	yes	characteristic
1444	C₂²	C₁₃×#585	1	1	yes	characteristic
1445	C₂²	C₁₃×#585	1	1	yes	characteristic
1446	C₂²	C₁₃×#585	1	1	yes	characteristic
1447	C₄	—	2	2	no	—
1448	C₄	—	2	2	no	—
1449	C₄	—	2	2	no	—
1450	C₄	—	2	2	no	—
1451	C₄	—	2	2	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	2	2	no	—
1454	C₄	—	2	2	no	—
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₂	—	4	2	no	—
1475	C₂	—	4	2	no	—
1476	C₂	—	4	2	no	—
1477	C₂	—	4	2	no	—
1478	C₂	C₁₃×#3428	1	1	yes	characteristic
1479	C₂	C₁₃×#3428	1	1	yes	characteristic
1480	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1481	C₂	C₁₃×#3560	1	1	yes	characteristic
1482	C₂	C₁₃×#3562	1	1	yes	characteristic
1483	C₂	C₁₃×#3566	1	1	yes	characteristic
1484	C₂	C₁₃×#3568	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#120	C₂²
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
2. C₁₃×#2383	C₂	semidirect
3. C₁₃×#2378	C₂	semidirect
4. C₁₃×#2376	C₂	semidirect
6. C₁₃×#2374	C₂	semidirect
7. C₁₃×#2373	C₂	semidirect
8. C₁₃×#2367	C₂	semidirect
9. C₁₃×#2362	C₂	semidirect
10. C₁₃×#2359	C₂	semidirect
11. C₁₃×#2354	C₂	semidirect
12. C₁₃×#2353	C₂	semidirect
13. C₁₃×#2347	C₂	semidirect
14. C₁₃×#2347	C₂	semidirect
15. C₁₃×#2342	C₂	semidirect
16. C₁₃×#2342	C₂	semidirect
17. C₁₃×#2337	C₂	semidirect
18. C₁₃×#2335	C₂	semidirect
19. C₁₃×#2335	C₂	semidirect
20. C₁₃×#2335	C₂	semidirect
21. C₁₃×#2334	C₂	semidirect
22. C₁₃×#2332	C₂	semidirect
23. C₁₃×#2323	C₂	semidirect
25. C₁₃×#2318	C₂	semidirect
26. C₁₃×#2314	C₂	semidirect
27. C₁₃×#2312	C₂	semidirect
28. C₁₃×#2312	C₂	semidirect
29. C₄×C₁₃×#126	C₂	semidirect
30. C₁₃×#2298	C₂	semidirect
31. C₁₃×#2293	C₂	semidirect
32. C₁₃×#551	C₄	semidirect
42. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
50. C₂×C₁₃×#117	C₂²	semidirect
54. C₁₃×#391	C₂²	semidirect
55. C₁₃×#391	C₂²	semidirect
56. C₁₃×#391	C₂²	semidirect
62. C₁₃×#389	C₂²	semidirect
63. C₁₃×#389	C₂²	semidirect
64. C₁₃×#389	C₂²	semidirect
65. C₁₃×#389	C₂²	semidirect
66. C₁₃×#389	C₂²	semidirect
67. C₁₃×#389	C₂²	semidirect
68. C₁₃×#389	C₂²	semidirect
69. C₁₃×#389	C₂²	semidirect
104. C₁₃×#388	C₂²	semidirect
105. C₁₃×#388	C₂²	semidirect
106. C₁₃×#388	C₂²	semidirect
107. C₁₃×#388	C₂²	semidirect
108. C₁₃×#388	C₂²	semidirect
109. C₁₃×#388	C₂²	semidirect
110. C₁₃×#387	C₂²	semidirect
111. C₁₃×#387	C₂²	semidirect
112. C₁₃×#387	C₂²	semidirect
113. C₁₃×#387	C₂²	semidirect
114. C₁₃×#387	C₂²	semidirect
115. C₁₃×#387	C₂²	semidirect
116. C₁₃×#387	C₂²	semidirect
117. C₁₃×#387	C₂²	semidirect
118. C₁₃×#387	C₂²	semidirect
119. C₁₃×#387	C₂²	semidirect
120. C₁₃×#387	C₂²	semidirect
121. C₁₃×#387	C₂²	semidirect
122. C₁₃×#387	C₂²	semidirect
123. C₁₃×#387	C₂²	semidirect
124. C₁₃×#387	C₂²	semidirect
125. C₁₃×#387	C₂²	semidirect
137. C₁₃×#385	C₂²	semidirect
138. C₁₃×#385	C₂²	semidirect
139. C₁₃×#385	C₂²	semidirect
140. C₁₃×#384	C₂²	semidirect
141. C₁₃×#383	C₂²	semidirect
142. C₁₃×#383	C₂²	semidirect
143. C₁₃×#383	C₂²	semidirect
144. C₁₃×#382	C₂²	semidirect
153. C₁₃×#380	C₂²	semidirect
157. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
158. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
159. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
160. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
161. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
162. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
163. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
164. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
165. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
166. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
167. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
168. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
169. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
181. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
182. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
184. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
185. C₁₃×#376	C₂²	semidirect
186. C₂×C₁₃×#95	C₂²	semidirect
187. C₄³×C₁₃	C₂²	semidirect
202. C₁₃×#126	C₂×C₄	semidirect
203. C₁₃×#126	C₂×C₄	semidirect
206. C₁₃×#123	C₂×C₄	semidirect
207. C₁₃×#123	C₂×C₄	semidirect
208. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
209. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
213. C₄×D₄×C₁₃	C₂×C₄	semidirect
214. C₄×D₄×C₁₃	C₂×C₄	semidirect
218. C₁₃×#117	C₂×C₄	semidirect
219. C₁₃×#117	C₂×C₄	semidirect
251. C₂×C₁₃×C₂²⋊C₄	C₂×C₄	semidirect
252. C₂×C₁₃×C₂²⋊C₄	C₂×C₄	semidirect
364. #34504	C₁₃	direct (N × H)
540. #2383	C₂×C₁₃	semidirect
541. #2378	C₂×C₁₃	semidirect
542. #2376	C₂×C₁₃	semidirect
544. #2374	C₂×C₁₃	semidirect
545. #2373	C₂×C₁₃	semidirect
546. #2367	C₂×C₁₃	semidirect
547. #2362	C₂×C₁₃	semidirect
548. #2359	C₂×C₁₃	semidirect
549. #2354	C₂×C₁₃	semidirect
550. #2353	C₂×C₁₃	semidirect
551. #2347	C₂×C₁₃	semidirect
552. #2347	C₂×C₁₃	semidirect
553. #2342	C₂×C₁₃	semidirect
554. #2342	C₂×C₁₃	semidirect
555. #2337	C₂×C₁₃	semidirect
556. #2335	C₂×C₁₃	semidirect
557. #2335	C₂×C₁₃	semidirect
558. #2335	C₂×C₁₃	semidirect
559. #2334	C₂×C₁₃	semidirect
560. #2332	C₂×C₁₃	semidirect
561. #2323	C₂×C₁₃	semidirect
563. #2318	C₂×C₁₃	semidirect
564. #2314	C₂×C₁₃	semidirect
565. #2312	C₂×C₁₃	semidirect
566. #2312	C₂×C₁₃	semidirect
567. C₄×#126	C₂×C₁₃	semidirect
568. #2298	C₂×C₁₃	semidirect
569. #2293	C₂×C₁₃	semidirect
700. #551	C₄×C₁₃	semidirect
710. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
718. C₂×#117	C₂²×C₁₃	semidirect
722. #391	C₂²×C₁₃	semidirect
723. #391	C₂²×C₁₃	semidirect
724. #391	C₂²×C₁₃	semidirect
730. #389	C₂²×C₁₃	semidirect
731. #389	C₂²×C₁₃	semidirect
732. #389	C₂²×C₁₃	semidirect
733. #389	C₂²×C₁₃	semidirect
734. #389	C₂²×C₁₃	semidirect
735. #389	C₂²×C₁₃	semidirect
736. #389	C₂²×C₁₃	semidirect
737. #389	C₂²×C₁₃	semidirect
772. #388	C₂²×C₁₃	semidirect
773. #388	C₂²×C₁₃	semidirect
774. #388	C₂²×C₁₃	semidirect
775. #388	C₂²×C₁₃	semidirect
776. #388	C₂²×C₁₃	semidirect
777. #388	C₂²×C₁₃	semidirect
778. #387	C₂²×C₁₃	semidirect
779. #387	C₂²×C₁₃	semidirect
780. #387	C₂²×C₁₃	semidirect
781. #387	C₂²×C₁₃	semidirect
782. #387	C₂²×C₁₃	semidirect
783. #387	C₂²×C₁₃	semidirect
784. #387	C₂²×C₁₃	semidirect
785. #387	C₂²×C₁₃	semidirect
786. #387	C₂²×C₁₃	semidirect
787. #387	C₂²×C₁₃	semidirect
788. #387	C₂²×C₁₃	semidirect
789. #387	C₂²×C₁₃	semidirect
790. #387	C₂²×C₁₃	semidirect
791. #387	C₂²×C₁₃	semidirect
792. #387	C₂²×C₁₃	semidirect
793. #387	C₂²×C₁₃	semidirect
805. #385	C₂²×C₁₃	semidirect
806. #385	C₂²×C₁₃	semidirect
807. #385	C₂²×C₁₃	semidirect
808. #384	C₂²×C₁₃	semidirect
809. #383	C₂²×C₁₃	semidirect
810. #383	C₂²×C₁₃	semidirect
811. #383	C₂²×C₁₃	semidirect
812. #382	C₂²×C₁₃	semidirect
821. #380	C₂²×C₁₃	semidirect
825. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
826. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
827. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
828. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
829. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
830. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
831. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
832. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
833. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
834. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
835. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
836. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
837. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
849. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
850. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
851. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
852. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
853. #376	C₂²×C₁₃	semidirect
854. C₂×#95	C₂²×C₁₃	semidirect
855. C₄³	C₂²×C₁₃	semidirect
933. #126	C₂×C₄×C₁₃	semidirect
934. #126	C₂×C₄×C₁₃	semidirect
937. #123	C₂×C₄×C₁₃	semidirect
938. #123	C₂×C₄×C₁₃	semidirect
939. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
940. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
944. C₄×D₄	C₂×C₄×C₁₃	semidirect
945. C₄×D₄	C₂×C₄×C₁₃	semidirect
949. #117	C₂×C₄×C₁₃	semidirect
950. #117	C₂×C₄×C₁₃	semidirect
982. C₂×C₂²⋊C₄	C₂×C₄×C₁₃	semidirect
983. C₂×C₂²⋊C₄	C₂×C₄×C₁₃	semidirect
1280. C₁₃	#34504	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×#551	2
C₁₃×#2383	2
C₁₃×#2378	2
C₁₃×#2376	2
C₁₃×#2375	2
C₁₃×#2374	2
C₁₃×#2373	2
C₁₃×#2367	2
C₁₃×#2362	2
C₁₃×#2359	2
C₁₃×#2354	2
C₁₃×#2353	2
C₁₃×#2347	2
C₁₃×#2342	2
C₁₃×#2337	2
C₁₃×#2335	2
C₁₃×#2334	2
C₁₃×#2332	2
C₁₃×#2323	2
C₁₃×#2321	2
C₁₃×#2318	2
C₁₃×#2314	2
C₁₃×#2312	2
C₄×C₁₃×#126	2
C₁₃×#2298	2
C₁₃×#2293	2
#34504	13

Subgroups — C13×#34504 #15720843

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34504 #15720843