Subgroups — C₁₃×#34497 #15720836

Order 3328.

2268 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2383	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2382	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2377	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2376	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2373	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2359	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2349	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2349	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2345	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2343	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2336	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2318	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2314	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₃×#387	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#553	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×#125	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×#121	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
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×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
56	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₄²×C₁₃	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
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×#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×#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×#386	C₂²	1	1	yes	characteristic
117	C₁₃×#386	C₂²	1	1	yes	characteristic
118	C₁₃×#386	C₂²	1	1	yes	characteristic
119	C₁₃×#386	C₂²	1	1	yes	characteristic
120	C₁₃×#386	C₂²	1	1	yes	characteristic
121	C₁₃×#386	C₂²	1	1	yes	characteristic
122	C₁₃×#386	C₂²	1	1	yes	characteristic
123	C₁₃×#386	C₂²	1	1	yes	characteristic
124	C₁₃×#386	C₂²	1	1	yes	characteristic
125	C₁₃×#386	C₂²	1	1	yes	characteristic
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×#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×#385	C₂²	1	1	yes	characteristic
137	C₁₃×#385	C₂²	1	1	yes	characteristic
138	C₁₃×#385	C₂²	1	1	yes	characteristic
139	C₁₃×#385	C₂²	1	1	yes	characteristic
140	C₁₃×#385	C₂²	1	1	yes	characteristic
141	C₁₃×#385	C₂²	1	1	yes	characteristic
142	C₁₃×#385	C₂²	1	1	yes	characteristic
143	C₁₃×#385	C₂²	1	1	yes	characteristic
144	C₁₃×#385	C₂²	1	1	yes	characteristic
145	C₁₃×#385	C₂²	1	1	yes	characteristic
146	C₁₃×#384	C₂²	1	1	yes	characteristic
147	C₁₃×#383	C₂²	1	1	yes	characteristic
148	C₁₃×#383	C₂²	1	1	yes	characteristic
149	C₁₃×#382	C₂²	1	1	yes	characteristic
150	C₁₃×#382	C₂²	1	1	yes	characteristic
151	C₁₃×#382	C₂²	1	1	yes	characteristic
152	C₁₃×#382	C₂²	1	1	yes	characteristic
153	C₁₃×#381	C₂²	1	1	yes	characteristic
154	C₁₃×#381	C₂²	1	1	yes	characteristic
155	C₁₃×#380	C₂²	1	1	yes	characteristic
156	C₁₃×#380	C₂²	1	1	yes	characteristic
157	C₁₃×#380	C₂²	1	1	yes	characteristic
158	C₁₃×#380	C₂²	1	1	yes	characteristic
159	C₁₃×#380	C₂²	1	1	yes	characteristic
160	C₁₃×#380	C₂²	1	1	yes	characteristic
161	C₁₃×#380	C₂²	1	1	yes	characteristic
162	C₁₃×#380	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×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	C₁₃×#376	C₂²	1	1	yes	characteristic
182	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
183	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
184	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
185	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
186	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
187	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×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	C₂²×D₄×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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₁₃×#126	C₂×C₄	1	8	yes	complemented
211	C₁₃×#126	C₂×C₄	1	8	yes	complemented
212	C₁₃×#125	C₂×C₄	1	8	yes	complemented
213	C₁₃×#123	C₂×C₄	1	8	yes	complemented
214	C₁₃×#123	C₂×C₄	1	8	yes	complemented
215	C₁₃×#121	C₂×C₄	1	8	yes	complemented
216	C₁₃×#121	C₂×C₄	1	8	yes	complemented
217	C₁₃×#121	C₂×C₄	1	8	yes	complemented
218	C₁₃×#121	C₂×C₄	1	8	yes	complemented
219	C₄×D₄×C₁₃	—	4	2	no	—
220	C₄×D₄×C₁₃	—	4	2	no	—
221	C₄×D₄×C₁₃	—	4	2	no	—
222	C₄×D₄×C₁₃	—	4	2	no	—
223	C₄×D₄×C₁₃	—	4	2	no	—
224	C₄×D₄×C₁₃	—	4	2	no	—
225	C₄×D₄×C₁₃	—	4	2	no	—
226	C₄×D₄×C₁₃	—	4	2	no	—
227	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
228	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
229	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
230	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
231	C₁₃×#117	—	4	2	no	—
232	C₁₃×#117	C₂×C₄	1	8	yes	complemented
233	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
234	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
235	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊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×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	—	4	2	no	—
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	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₁₃	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	C₁₃×#95	C₂³	1	1	yes	characteristic
365	C₁₃×#95	C₂³	1	1	yes	characteristic
366	C₁₃×#95	C₂³	1	1	yes	characteristic
367	C₁₃×#95	C₂³	1	1	yes	characteristic
368	C₁₃×#95	C₂³	1	1	yes	characteristic
369	C₁₃×#95	C₂³	1	1	yes	characteristic
370	#34497	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	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	—	4	1	no	—
386	C₂×D₄×C₁₃	—	4	1	no	—
387	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
388	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
389	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
390	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
391	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
392	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	2	no	—
395	C₂²×C₄×C₁₃	—	2	2	no	—
396	C₂²×C₄×C₁₃	—	2	2	no	—
397	C₂²×C₄×C₁₃	—	2	2	no	—
398	C₂²×C₄×C₁₃	—	2	2	no	—
399	C₂²×C₄×C₁₃	—	2	2	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	—	4	1	no	—
411	C₂²×C₄×C₁₃	—	4	1	no	—
412	C₂²×C₄×C₁₃	—	4	1	no	—
413	C₂²×C₄×C₁₃	—	4	1	no	—
414	C₂²×C₄×C₁₃	—	4	1	no	—
415	C₂²×C₄×C₁₃	—	4	1	no	—
416	C₂²×C₄×C₁₃	—	4	1	no	—
417	C₂²×C₄×C₁₃	—	4	1	no	—
418	C₂²×C₄×C₁₃	—	4	1	no	—
419	C₂²×C₄×C₁₃	—	4	1	no	—
420	C₂²×C₄×C₁₃	—	4	1	no	—
421	C₂²×C₄×C₁₃	—	4	1	no	—
422	C₂²×C₄×C₁₃	—	4	1	no	—
423	C₂²×C₄×C₁₃	—	4	1	no	—
424	C₂²×C₄×C₁₃	—	4	1	no	—
425	C₂²×C₄×C₁₃	—	4	1	no	—
426	C₂²×C₄×C₁₃	—	4	1	no	—
427	C₂²×C₄×C₁₃	—	4	1	no	—
428	C₂²×C₄×C₁₃	—	4	1	no	—
429	C₂²×C₄×C₁₃	—	4	1	no	—
430	C₂²×C₄×C₁₃	—	4	1	no	—
431	C₂²×C₄×C₁₃	—	4	1	no	—
432	C₂²×C₄×C₁₃	—	4	1	no	—
433	C₂²×C₄×C₁₃	—	4	1	no	—
434	C₂²×C₄×C₁₃	—	4	1	no	—
435	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
436	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
437	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
438	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
439	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
440	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
441	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
468	C₁₃×C₄⋊C₄	—	2	2	no	—
469	C₁₃×C₄⋊C₄	—	2	2	no	—
470	C₁₃×C₄⋊C₄	—	2	2	no	—
471	C₁₃×C₄⋊C₄	—	4	1	no	—
472	C₁₃×C₄⋊C₄	—	4	1	no	—
473	C₁₃×C₄⋊C₄	—	4	1	no	—
474	C₁₃×C₄⋊C₄	—	4	1	no	—
475	C₁₃×C₄⋊C₄	—	4	1	no	—
476	C₁₃×C₄⋊C₄	—	4	1	no	—
477	C₁₃×C₄⋊C₄	—	4	1	no	—
478	C₁₃×C₄⋊C₄	—	4	1	no	—
479	C₁₃×C₄⋊C₄	—	4	1	no	—
480	C₁₃×C₄⋊C₄	—	4	1	no	—
481	C₁₃×C₄⋊C₄	—	4	1	no	—
482	C₁₃×C₄⋊C₄	—	4	1	no	—
483	C₁₃×C₄⋊C₄	—	4	1	no	—
484	C₁₃×C₄⋊C₄	—	4	1	no	—
485	C₁₃×C₄⋊C₄	—	4	1	no	—
486	C₁₃×C₄⋊C₄	—	4	1	no	—
487	C₁₃×C₄⋊C₄	—	4	1	no	—
488	C₁₃×C₄⋊C₄	—	4	1	no	—
489	C₁₃×C₄⋊C₄	—	4	1	no	—
490	C₁₃×C₄⋊C₄	—	4	1	no	—
491	C₁₃×C₄⋊C₄	—	4	1	no	—
492	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
493	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
494	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
495	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
496	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
497	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
498	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
499	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
500	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
501	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
503	C₁₃×C₂²⋊C₄	—	2	2	no	—
504	C₁₃×C₂²⋊C₄	—	2	2	no	—
505	C₁₃×C₂²⋊C₄	—	2	2	no	—
506	C₁₃×C₂²⋊C₄	—	2	2	no	—
507	C₁₃×C₂²⋊C₄	—	4	1	no	—
508	C₁₃×C₂²⋊C₄	—	4	1	no	—
509	C₁₃×C₂²⋊C₄	—	4	1	no	—
510	C₁₃×C₂²⋊C₄	—	4	1	no	—
511	C₁₃×C₂²⋊C₄	—	4	1	no	—
512	C₁₃×C₂²⋊C₄	—	4	1	no	—
513	C₁₃×C₂²⋊C₄	—	4	1	no	—
514	C₁₃×C₂²⋊C₄	—	4	1	no	—
515	C₁₃×C₂²⋊C₄	—	4	1	no	—
516	C₁₃×C₂²⋊C₄	—	4	1	no	—
517	C₁₃×C₂²⋊C₄	—	4	1	no	—
518	C₁₃×C₂²⋊C₄	—	4	1	no	—
519	C₁₃×C₂²⋊C₄	—	4	1	no	—
520	C₁₃×C₂²⋊C₄	—	4	1	no	—
521	C₁₃×C₂²⋊C₄	—	4	1	no	—
522	C₁₃×C₂²⋊C₄	—	4	1	no	—
523	C₁₃×C₂²⋊C₄	—	4	1	no	—
524	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
525	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
526	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
527	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
528	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
529	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
530	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
531	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
532	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
533	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
534	C₄²×C₁₃	—	2	2	no	—
535	C₄²×C₁₃	—	2	2	no	—
536	C₄²×C₁₃	—	4	1	no	—
537	C₄²×C₁₃	—	4	1	no	—
538	C₄²×C₁₃	—	4	1	no	—
539	C₄²×C₁₃	—	4	1	no	—
540	C₄²×C₁₃	—	4	1	no	—
541	C₄²×C₁₃	—	4	1	no	—
542	C₄²×C₁₃	—	4	1	no	—
543	C₄²×C₁₃	—	4	1	no	—
544	C₄²×C₁₃	—	4	1	no	—
545	C₄²×C₁₃	—	4	1	no	—
546	C₄²×C₁₃	—	4	1	no	—
547	C₄²×C₁₃	—	4	1	no	—
548	C₄²×C₁₃	—	4	1	no	—
549	C₄²×C₁₃	—	4	1	no	—
550	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
551	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
552	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
553	C₂×#553	C₂×C₁₃	1	1	yes	characteristic
554	#2383	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#2382	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#2377	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2376	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#2373	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#2364	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#2364	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#2361	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#2359	C₂×C₁₃	1	1	yes	characteristic, complemented
563	#2352	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#2349	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2349	C₂×C₁₃	1	1	yes	characteristic, complemented
566	D₄×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
567	#2345	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2343	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#2336	C₂×C₁₃	1	1	yes	characteristic, complemented
570	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
571	#2334	C₂×C₁₃	1	1	yes	characteristic, complemented
572	#2334	C₂×C₁₃	1	1	yes	characteristic, complemented
573	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
574	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
575	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
576	#2322	C₂×C₁₃	1	1	yes	characteristic, complemented
577	#2318	C₂×C₁₃	1	1	yes	characteristic, complemented
578	#2318	C₂×C₁₃	1	1	yes	characteristic, complemented
579	#2318	C₂×C₁₃	1	1	yes	characteristic, complemented
580	#2314	C₂×C₁₃	1	1	yes	characteristic, complemented
581	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
582	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
583	C₂×#387	C₂×C₁₃	1	1	yes	characteristic, complemented
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	—	2	1	no	—
595	C₂³×C₁₃	—	2	1	no	—
596	C₂³×C₁₃	—	2	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	—	2	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	—	2	1	no	—
604	C₂³×C₁₃	—	2	1	no	—
605	C₂³×C₁₃	—	2	1	no	—
606	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
607	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
608	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
609	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
610	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
611	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
612	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
613	D₄×C₁₃	—	2	8	no	—
614	D₄×C₁₃	—	2	8	no	—
615	D₄×C₁₃	—	2	8	no	—
616	D₄×C₁₃	—	4	4	no	—
617	D₄×C₁₃	—	4	4	no	—
618	D₄×C₁₃	—	4	4	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	—	2	1	no	—
680	C₂×C₄×C₁₃	—	2	1	no	—
681	C₂×C₄×C₁₃	—	2	1	no	—
682	C₂×C₄×C₁₃	—	2	1	no	—
683	C₂×C₄×C₁₃	—	2	1	no	—
684	C₂×C₄×C₁₃	—	2	1	no	—
685	C₂×C₄×C₁₃	—	2	1	no	—
686	C₂×C₄×C₁₃	—	2	1	no	—
687	C₂×C₄×C₁₃	—	2	1	no	—
688	C₂×C₄×C₁₃	—	4	4	no	—
689	C₂×C₄×C₁₃	—	4	4	no	—
690	C₂×C₄×C₁₃	—	4	4	no	—
691	C₂×C₄×C₁₃	—	4	4	no	—
692	C₂×C₄×C₁₃	—	4	4	no	—
693	C₂×C₄×C₁₃	—	4	4	no	—
694	C₂×C₄×C₁₃	—	4	4	no	—
695	C₂×C₄×C₁₃	—	4	4	no	—
696	C₂×C₄×C₁₃	—	8	2	no	—
697	C₂×C₄×C₁₃	—	8	2	no	—
698	C₂×C₄×C₁₃	—	8	2	no	—
699	C₂×C₄×C₁₃	—	8	2	no	—
700	C₂×C₄×C₁₃	—	8	2	no	—
701	C₂×C₄×C₁₃	—	8	2	no	—
702	C₂×C₄×C₁₃	—	8	2	no	—
703	C₂×C₄×C₁₃	—	8	2	no	—
704	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
705	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
706	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
707	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
708	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
709	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
710	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
711	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
712	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
713	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
714	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
715	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
716	#553	C₄×C₁₃	1	16	yes	complemented
717	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
718	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
719	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
720	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
721	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
722	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
723	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
724	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
725	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
726	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
727	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
728	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
729	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
730	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
731	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
732	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
733	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
734	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
735	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
736	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
737	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
738	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
739	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
740	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
741	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
742	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
743	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
744	#390	C₂²×C₁₃	1	1	yes	characteristic
745	#390	C₂²×C₁₃	1	1	yes	characteristic
746	#389	C₂²×C₁₃	1	1	yes	characteristic
747	#389	C₂²×C₁₃	1	1	yes	characteristic
748	#389	C₂²×C₁₃	1	1	yes	characteristic
749	#389	C₂²×C₁₃	1	1	yes	characteristic
750	#389	C₂²×C₁₃	1	1	yes	characteristic
751	#389	C₂²×C₁₃	1	1	yes	characteristic
752	#389	C₂²×C₁₃	1	1	yes	characteristic
753	#389	C₂²×C₁₃	1	1	yes	characteristic
754	#389	C₂²×C₁₃	1	1	yes	characteristic
755	#389	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
773	#388	C₂²×C₁₃	1	1	yes	characteristic
774	#387	C₂²×C₁₃	1	1	yes	characteristic
775	#387	C₂²×C₁₃	1	1	yes	characteristic
776	#387	C₂²×C₁₃	1	1	yes	characteristic
777	#387	C₂²×C₁₃	1	1	yes	characteristic
778	#387	C₂²×C₁₃	1	1	yes	characteristic
779	#387	C₂²×C₁₃	1	1	yes	characteristic
780	#387	C₂²×C₁₃	1	1	yes	characteristic
781	#387	C₂²×C₁₃	1	1	yes	characteristic
782	#387	C₂²×C₁₃	1	1	yes	characteristic
783	#387	C₂²×C₁₃	1	1	yes	characteristic
784	#387	C₂²×C₁₃	1	1	yes	characteristic
785	#387	C₂²×C₁₃	1	1	yes	characteristic
786	#387	C₂²×C₁₃	1	1	yes	characteristic
787	#387	C₂²×C₁₃	1	1	yes	characteristic
788	#387	C₂²×C₁₃	1	1	yes	characteristic
789	#387	C₂²×C₁₃	1	1	yes	characteristic
790	#387	C₂²×C₁₃	1	1	yes	characteristic
791	#387	C₂²×C₁₃	1	1	yes	characteristic
792	#387	C₂²×C₁₃	1	1	yes	characteristic
793	#387	C₂²×C₁₃	1	1	yes	characteristic
794	#387	C₂²×C₁₃	1	1	yes	characteristic
795	#387	C₂²×C₁₃	1	1	yes	characteristic
796	#387	C₂²×C₁₃	1	1	yes	characteristic
797	#387	C₂²×C₁₃	1	1	yes	characteristic
798	#387	C₂²×C₁₃	1	1	yes	characteristic
799	#387	C₂²×C₁₃	1	1	yes	characteristic
800	#386	C₂²×C₁₃	1	1	yes	characteristic
801	#386	C₂²×C₁₃	1	1	yes	characteristic
802	#386	C₂²×C₁₃	1	1	yes	characteristic
803	#386	C₂²×C₁₃	1	1	yes	characteristic
804	#386	C₂²×C₁₃	1	1	yes	characteristic
805	#386	C₂²×C₁₃	1	1	yes	characteristic
806	#386	C₂²×C₁₃	1	1	yes	characteristic
807	#386	C₂²×C₁₃	1	1	yes	characteristic
808	#386	C₂²×C₁₃	1	1	yes	characteristic
809	#386	C₂²×C₁₃	1	1	yes	characteristic
810	#386	C₂²×C₁₃	1	1	yes	characteristic
811	#386	C₂²×C₁₃	1	1	yes	characteristic
812	#386	C₂²×C₁₃	1	1	yes	characteristic
813	#386	C₂²×C₁₃	1	1	yes	characteristic
814	#385	C₂²×C₁₃	1	1	yes	characteristic
815	#385	C₂²×C₁₃	1	1	yes	characteristic
816	#385	C₂²×C₁₃	1	1	yes	characteristic
817	#385	C₂²×C₁₃	1	1	yes	characteristic
818	#385	C₂²×C₁₃	1	1	yes	characteristic
819	#385	C₂²×C₁₃	1	1	yes	characteristic
820	#385	C₂²×C₁₃	1	1	yes	characteristic
821	#385	C₂²×C₁₃	1	1	yes	characteristic
822	#385	C₂²×C₁₃	1	1	yes	characteristic
823	#385	C₂²×C₁₃	1	1	yes	characteristic
824	#385	C₂²×C₁₃	1	1	yes	characteristic
825	#385	C₂²×C₁₃	1	1	yes	characteristic
826	#385	C₂²×C₁₃	1	1	yes	characteristic
827	#385	C₂²×C₁₃	1	1	yes	characteristic
828	#385	C₂²×C₁₃	1	1	yes	characteristic
829	#385	C₂²×C₁₃	1	1	yes	characteristic
830	#384	C₂²×C₁₃	1	1	yes	characteristic
831	#383	C₂²×C₁₃	1	1	yes	characteristic
832	#383	C₂²×C₁₃	1	1	yes	characteristic
833	#382	C₂²×C₁₃	1	1	yes	characteristic
834	#382	C₂²×C₁₃	1	1	yes	characteristic
835	#382	C₂²×C₁₃	1	1	yes	characteristic
836	#382	C₂²×C₁₃	1	1	yes	characteristic
837	#381	C₂²×C₁₃	1	1	yes	characteristic
838	#381	C₂²×C₁₃	1	1	yes	characteristic
839	#380	C₂²×C₁₃	1	1	yes	characteristic
840	#380	C₂²×C₁₃	1	1	yes	characteristic
841	#380	C₂²×C₁₃	1	1	yes	characteristic
842	#380	C₂²×C₁₃	1	1	yes	characteristic
843	#380	C₂²×C₁₃	1	1	yes	characteristic
844	#380	C₂²×C₁₃	1	1	yes	characteristic
845	#380	C₂²×C₁₃	1	1	yes	characteristic
846	#380	C₂²×C₁₃	1	1	yes	characteristic
847	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
848	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
849	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
850	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
851	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
852	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
853	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
854	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
855	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
856	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
857	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
858	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
859	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
860	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
861	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
862	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
863	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
864	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
865	#376	C₂²×C₁₃	1	1	yes	characteristic
866	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
867	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
868	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
869	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
870	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
871	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
872	C₂²×C₁₃	—	2	2	no	—
873	C₂²×C₁₃	—	2	2	no	—
874	C₂²×C₁₃	—	2	2	no	—
875	C₂²×C₁₃	—	2	2	no	—
876	C₂²×C₁₃	—	2	2	no	—
877	C₂²×C₁₃	—	2	2	no	—
878	C₂²×C₁₃	—	2	2	no	—
879	C₂²×C₁₃	—	2	2	no	—
880	C₂²×C₁₃	—	2	2	no	—
881	C₂²×C₁₃	—	2	2	no	—
882	C₂²×C₁₃	—	2	2	no	—
883	C₂²×C₁₃	—	2	2	no	—
884	C₂²×C₁₃	—	2	2	no	—
885	C₂²×C₁₃	—	2	2	no	—
886	C₂²×C₁₃	—	2	2	no	—
887	C₂²×C₁₃	—	4	1	no	—
888	C₂²×C₁₃	—	4	1	no	—
889	C₂²×C₁₃	—	4	1	no	—
890	C₂²×C₁₃	—	4	1	no	—
891	C₂²×C₁₃	—	4	1	no	—
892	C₂²×C₁₃	—	4	1	no	—
893	C₂²×C₁₃	—	4	1	no	—
894	C₂²×C₁₃	—	4	1	no	—
895	C₂²×C₁₃	—	4	1	no	—
896	C₂²×C₁₃	—	4	1	no	—
897	C₂²×C₁₃	—	4	1	no	—
898	C₂²×C₁₃	—	4	1	no	—
899	C₂²×C₁₃	#520	1	4	yes	—
900	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
901	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
902	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
903	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
904	C₂²×C₁₃	#585	1	1	yes	characteristic
905	C₂²×C₁₃	#585	1	1	yes	characteristic
906	C₂²×C₁₃	#585	1	1	yes	characteristic
907	C₄×C₁₃	—	2	2	no	—
908	C₄×C₁₃	—	2	2	no	—
909	C₄×C₁₃	—	2	2	no	—
910	C₄×C₁₃	—	2	2	no	—
911	C₄×C₁₃	—	2	2	no	—
912	C₄×C₁₃	—	2	2	no	—
913	C₄×C₁₃	—	2	2	no	—
914	C₄×C₁₃	—	2	2	no	—
915	C₄×C₁₃	—	2	2	no	—
916	C₄×C₁₃	—	2	2	no	—
917	C₄×C₁₃	—	2	2	no	—
918	C₄×C₁₃	—	2	2	no	—
919	C₄×C₁₃	—	4	1	no	—
920	C₄×C₁₃	—	4	1	no	—
921	C₄×C₁₃	—	4	1	no	—
922	C₄×C₁₃	—	4	1	no	—
923	C₄×C₁₃	—	4	1	no	—
924	C₄×C₁₃	—	4	1	no	—
925	C₄×C₁₃	—	4	1	no	—
926	C₄×C₁₃	—	4	1	no	—
927	C₄×C₁₃	—	4	1	no	—
928	C₄×C₁₃	—	4	1	no	—
929	C₄×C₁₃	—	4	1	no	—
930	C₄×C₁₃	—	4	1	no	—
931	C₄×C₁₃	—	4	1	no	—
932	C₄×C₁₃	—	4	1	no	—
933	C₄×C₁₃	—	4	1	no	—
934	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
935	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
936	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
937	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
938	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
939	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
940	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
941	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
942	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
944	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
945	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
946	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
947	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
948	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
949	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
950	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
951	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
952	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
953	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
954	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
955	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
956	#126	C₂×C₄×C₁₃	1	8	yes	complemented
957	#126	C₂×C₄×C₁₃	1	8	yes	complemented
958	#125	C₂×C₄×C₁₃	1	8	yes	complemented
959	#123	C₂×C₄×C₁₃	1	8	yes	complemented
960	#123	C₂×C₄×C₁₃	1	8	yes	complemented
961	#121	C₂×C₄×C₁₃	1	8	yes	complemented
962	#121	C₂×C₄×C₁₃	1	8	yes	complemented
963	#121	C₂×C₄×C₁₃	1	8	yes	complemented
964	#121	C₂×C₄×C₁₃	1	8	yes	complemented
965	C₄×D₄	—	4	2	no	—
966	C₄×D₄	—	4	2	no	—
967	C₄×D₄	—	4	2	no	—
968	C₄×D₄	—	4	2	no	—
969	C₄×D₄	—	4	2	no	—
970	C₄×D₄	—	4	2	no	—
971	C₄×D₄	—	4	2	no	—
972	C₄×D₄	—	4	2	no	—
973	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
974	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
975	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
976	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
977	#117	—	4	2	no	—
978	#117	C₂×C₄×C₁₃	1	8	yes	complemented
979	C₂×C₄⋊C₄	—	4	2	no	—
980	C₂×C₄⋊C₄	—	4	2	no	—
981	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	8	yes	complemented
982	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂×C₄⋊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×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×C₄²	—	4	2	no	—
1049	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×C₄²	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	#95	C₂³×C₁₃	1	1	yes	characteristic
1096	#95	C₂³×C₁₃	1	1	yes	characteristic
1097	#95	C₂³×C₁₃	1	1	yes	characteristic
1098	#95	C₂³×C₁₃	1	1	yes	characteristic
1099	#95	C₂³×C₁₃	1	1	yes	characteristic
1100	#95	C₂³×C₁₃	1	1	yes	characteristic
1101	#95	C₂³×C₁₃	1	1	yes	characteristic
1102	#95	C₂³×C₁₃	1	1	yes	characteristic
1103	#95	C₂³×C₁₃	1	1	yes	characteristic
1104	#95	C₂³×C₁₃	1	1	yes	characteristic
1105	#95	C₂³×C₁₃	1	1	yes	characteristic
1106	#95	C₂³×C₁₃	1	1	yes	characteristic
1107	#95	C₂³×C₁₃	1	1	yes	characteristic
1108	#95	C₂³×C₁₃	1	1	yes	characteristic
1109	#95	C₂³×C₁₃	1	1	yes	characteristic
1110	#95	C₂³×C₁₃	1	1	yes	characteristic
1111	#95	C₂³×C₁₃	1	1	yes	characteristic
1112	#95	C₂³×C₁₃	1	1	yes	characteristic
1113	#95	C₂³×C₁₃	1	1	yes	characteristic
1114	#95	C₂³×C₁₃	1	1	yes	characteristic
1115	#95	C₂³×C₁₃	1	1	yes	characteristic
1116	C₂×C₁₃	—	2	4	no	—
1117	C₂×C₁₃	—	4	2	no	—
1118	C₂×C₁₃	—	4	2	no	—
1119	C₂×C₁₃	—	4	2	no	—
1120	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1121	C₂×C₁₃	#3428	1	1	yes	characteristic
1122	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1123	C₂×C₁₃	#3534	1	1	yes	characteristic
1124	C₂×C₁₃	#3541	1	1	yes	characteristic
1125	C₂×C₁₃	#3553	1	1	yes	characteristic
1126	C₂×C₁₃	#3560	1	1	yes	characteristic
1127	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1130	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1131	C₂×D₄	—	2	2	no	—
1132	C₂×D₄	—	2	2	no	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	2	2	no	—
1135	C₂×D₄	—	2	2	no	—
1136	C₂×D₄	—	2	2	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	1	no	—
1142	C₂×D₄	—	4	1	no	—
1143	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1144	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1145	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1146	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1147	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1148	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	2	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	2	2	no	—
1153	C₂²×C₄	—	2	2	no	—
1154	C₂²×C₄	—	2	2	no	—
1155	C₂²×C₄	—	2	2	no	—
1156	C₂²×C₄	—	4	1	no	—
1157	C₂²×C₄	—	4	1	no	—
1158	C₂²×C₄	—	4	1	no	—
1159	C₂²×C₄	—	4	1	no	—
1160	C₂²×C₄	—	4	1	no	—
1161	C₂²×C₄	—	4	1	no	—
1162	C₂²×C₄	—	4	1	no	—
1163	C₂²×C₄	—	4	1	no	—
1164	C₂²×C₄	—	4	1	no	—
1165	C₂²×C₄	—	4	1	no	—
1166	C₂²×C₄	—	4	1	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	4	1	no	—
1171	C₂²×C₄	—	4	1	no	—
1172	C₂²×C₄	—	4	1	no	—
1173	C₂²×C₄	—	4	1	no	—
1174	C₂²×C₄	—	4	1	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	1	no	—
1180	C₂²×C₄	—	4	1	no	—
1181	C₂²×C₄	—	4	1	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	4	1	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	1	no	—
1189	C₂²×C₄	—	4	1	no	—
1190	C₂²×C₄	—	4	1	no	—
1191	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1192	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1193	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1194	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1195	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1196	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
1197	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1204	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1205	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1206	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1207	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1208	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1209	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1210	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₄⋊C₄	—	4	1	no	—
1230	C₄⋊C₄	—	4	1	no	—
1231	C₄⋊C₄	—	4	1	no	—
1232	C₄⋊C₄	—	4	1	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	4	1	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	4	1	no	—
1243	C₄⋊C₄	—	4	1	no	—
1244	C₄⋊C₄	—	4	1	no	—
1245	C₄⋊C₄	—	4	1	no	—
1246	C₄⋊C₄	—	4	1	no	—
1247	C₄⋊C₄	—	4	1	no	—
1248	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1249	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1250	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1251	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1252	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1253	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1254	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1255	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1256	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1257	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1281	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1282	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1283	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1284	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1285	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1286	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1287	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1288	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1289	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1290	C₄²	—	2	2	no	—
1291	C₄²	—	2	2	no	—
1292	C₄²	—	4	1	no	—
1293	C₄²	—	4	1	no	—
1294	C₄²	—	4	1	no	—
1295	C₄²	—	4	1	no	—
1296	C₄²	—	4	1	no	—
1297	C₄²	—	4	1	no	—
1298	C₄²	—	4	1	no	—
1299	C₄²	—	4	1	no	—
1300	C₄²	—	4	1	no	—
1301	C₄²	—	4	1	no	—
1302	C₄²	—	4	1	no	—
1303	C₄²	—	4	1	no	—
1304	C₄²	—	4	1	no	—
1305	C₄²	—	4	1	no	—
1306	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1307	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1308	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
1309	C₁₃	#34497	1	1	yes	characteristic, direct product factor, Sylow
1310	C₂³	—	2	1	no	—
1311	C₂³	—	2	1	no	—
1312	C₂³	—	2	1	no	—
1313	C₂³	—	2	1	no	—
1314	C₂³	—	2	1	no	—
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1333	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1334	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1335	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1336	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1337	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
1338	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1339	D₄	—	2	8	no	—
1340	D₄	—	2	8	no	—
1341	D₄	—	2	8	no	—
1342	D₄	—	4	4	no	—
1343	D₄	—	4	4	no	—
1344	D₄	—	4	4	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	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	4	4	no	—
1415	C₂×C₄	—	4	4	no	—
1416	C₂×C₄	—	4	4	no	—
1417	C₂×C₄	—	4	4	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	4	4	no	—
1421	C₂×C₄	—	4	4	no	—
1422	C₂×C₄	—	8	2	no	—
1423	C₂×C₄	—	8	2	no	—
1424	C₂×C₄	—	8	2	no	—
1425	C₂×C₄	—	8	2	no	—
1426	C₂×C₄	—	8	2	no	—
1427	C₂×C₄	—	8	2	no	—
1428	C₂×C₄	—	8	2	no	—
1429	C₂×C₄	—	8	2	no	—
1430	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1431	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1432	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1433	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1434	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1435	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1436	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1437	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1438	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1439	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1440	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1441	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1442	C₂²	—	2	2	no	—
1443	C₂²	—	2	2	no	—
1444	C₂²	—	2	2	no	—
1445	C₂²	—	2	2	no	—
1446	C₂²	—	2	2	no	—
1447	C₂²	—	2	2	no	—
1448	C₂²	—	2	2	no	—
1449	C₂²	—	2	2	no	—
1450	C₂²	—	2	2	no	—
1451	C₂²	—	2	2	no	—
1452	C₂²	—	2	2	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	2	2	no	—
1455	C₂²	—	2	2	no	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	4	1	no	—
1458	C₂²	—	4	1	no	—
1459	C₂²	—	4	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	C₁₃×#520	1	4	yes	—
1470	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1471	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1472	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1473	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1474	C₂²	C₁₃×#585	1	1	yes	characteristic
1475	C₂²	C₁₃×#585	1	1	yes	characteristic
1476	C₂²	C₁₃×#585	1	1	yes	characteristic
1477	C₄	—	2	2	no	—
1478	C₄	—	2	2	no	—
1479	C₄	—	2	2	no	—
1480	C₄	—	2	2	no	—
1481	C₄	—	2	2	no	—
1482	C₄	—	2	2	no	—
1483	C₄	—	2	2	no	—
1484	C₄	—	2	2	no	—
1485	C₄	—	2	2	no	—
1486	C₄	—	2	2	no	—
1487	C₄	—	2	2	no	—
1488	C₄	—	2	2	no	—
1489	C₄	—	4	1	no	—
1490	C₄	—	4	1	no	—
1491	C₄	—	4	1	no	—
1492	C₄	—	4	1	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	1	no	—
1495	C₄	—	4	1	no	—
1496	C₄	—	4	1	no	—
1497	C₄	—	4	1	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₂	—	2	4	no	—
1505	C₂	—	4	2	no	—
1506	C₂	—	4	2	no	—
1507	C₂	—	4	2	no	—
1508	C₂	C₂×C₁₃×#520	1	1	yes	characteristic
1509	C₂	C₁₃×#3428	1	1	yes	characteristic
1510	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1511	C₂	C₁₃×#3534	1	1	yes	characteristic
1512	C₂	C₁₃×#3541	1	1	yes	characteristic
1513	C₂	C₁₃×#3553	1	1	yes	characteristic
1514	C₂	C₁₃×#3560	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×#553	C₂
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×#2382	C₂	semidirect
4. C₁₃×#2377	C₂	semidirect
5. C₁₃×#2376	C₂	semidirect
6. C₁₃×#2373	C₂	semidirect
7. C₁₃×#2364	C₂	semidirect
8. C₁₃×#2364	C₂	semidirect
9. C₁₃×#2361	C₂	semidirect
10. C₁₃×#2359	C₂	semidirect
11. C₁₃×#2352	C₂	semidirect
12. C₁₃×#2349	C₂	semidirect
13. C₁₃×#2349	C₂	semidirect
14. D₄×C₁₃×C₄⋊C₄	C₂	semidirect
15. C₁₃×#2345	C₂	semidirect
16. C₁₃×#2343	C₂	semidirect
17. C₁₃×#2336	C₂	semidirect
18. C₁₃×#2335	C₂	semidirect
19. C₁₃×#2334	C₂	semidirect
20. C₁₃×#2334	C₂	semidirect
21. C₁₃×#2325	C₂	semidirect
22. C₁₃×#2325	C₂	semidirect
23. C₁₃×#2325	C₂	semidirect
24. C₁₃×#2322	C₂	semidirect
25. C₁₃×#2318	C₂	semidirect
26. C₁₃×#2318	C₂	semidirect
27. C₁₃×#2318	C₂	semidirect
28. C₁₃×#2314	C₂	semidirect
29. C₄×C₁₃×#121	C₂	semidirect
30. C₁₃×#2290	C₂	semidirect
31. C₂×C₁₃×#387	C₂	semidirect
32. C₁₃×#553	C₄	semidirect
210. C₁₃×#126	C₂×C₄	semidirect
211. C₁₃×#126	C₂×C₄	semidirect
212. C₁₃×#125	C₂×C₄	semidirect
213. C₁₃×#123	C₂×C₄	semidirect
214. C₁₃×#123	C₂×C₄	semidirect
215. C₁₃×#121	C₂×C₄	semidirect
216. C₁₃×#121	C₂×C₄	semidirect
217. C₁₃×#121	C₂×C₄	semidirect
218. C₁₃×#121	C₂×C₄	semidirect
227. C₄×D₄×C₁₃	C₂×C₄	semidirect
228. C₄×D₄×C₁₃	C₂×C₄	semidirect
229. C₄×D₄×C₁₃	C₂×C₄	semidirect
230. C₄×D₄×C₁₃	C₂×C₄	semidirect
232. C₁₃×#117	C₂×C₄	semidirect
235. C₂×C₁₃×C₄⋊C₄	C₂×C₄	semidirect
370. #34497	C₁₃	direct (N × H)
554. #2383	C₂×C₁₃	semidirect
555. #2382	C₂×C₁₃	semidirect
556. #2377	C₂×C₁₃	semidirect
557. #2376	C₂×C₁₃	semidirect
558. #2373	C₂×C₁₃	semidirect
559. #2364	C₂×C₁₃	semidirect
560. #2364	C₂×C₁₃	semidirect
561. #2361	C₂×C₁₃	semidirect
562. #2359	C₂×C₁₃	semidirect
563. #2352	C₂×C₁₃	semidirect
564. #2349	C₂×C₁₃	semidirect
565. #2349	C₂×C₁₃	semidirect
566. D₄×C₄⋊C₄	C₂×C₁₃	semidirect
567. #2345	C₂×C₁₃	semidirect
568. #2343	C₂×C₁₃	semidirect
569. #2336	C₂×C₁₃	semidirect
570. #2335	C₂×C₁₃	semidirect
571. #2334	C₂×C₁₃	semidirect
572. #2334	C₂×C₁₃	semidirect
573. #2325	C₂×C₁₃	semidirect
574. #2325	C₂×C₁₃	semidirect
575. #2325	C₂×C₁₃	semidirect
576. #2322	C₂×C₁₃	semidirect
577. #2318	C₂×C₁₃	semidirect
578. #2318	C₂×C₁₃	semidirect
579. #2318	C₂×C₁₃	semidirect
580. #2314	C₂×C₁₃	semidirect
581. C₄×#121	C₂×C₁₃	semidirect
582. #2290	C₂×C₁₃	semidirect
583. C₂×#387	C₂×C₁₃	semidirect
716. #553	C₄×C₁₃	semidirect
956. #126	C₂×C₄×C₁₃	semidirect
957. #126	C₂×C₄×C₁₃	semidirect
958. #125	C₂×C₄×C₁₃	semidirect
959. #123	C₂×C₄×C₁₃	semidirect
960. #123	C₂×C₄×C₁₃	semidirect
961. #121	C₂×C₄×C₁₃	semidirect
962. #121	C₂×C₄×C₁₃	semidirect
963. #121	C₂×C₄×C₁₃	semidirect
964. #121	C₂×C₄×C₁₃	semidirect
973. C₄×D₄	C₂×C₄×C₁₃	semidirect
974. C₄×D₄	C₂×C₄×C₁₃	semidirect
975. C₄×D₄	C₂×C₄×C₁₃	semidirect
976. C₄×D₄	C₂×C₄×C₁₃	semidirect
978. #117	C₂×C₄×C₁₃	semidirect
981. C₂×C₄⋊C₄	C₂×C₄×C₁₃	semidirect
1309. C₁₃	#34497	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×#553	2
C₁₃×#2383	2
C₁₃×#2382	2
C₁₃×#2377	2
C₁₃×#2376	2
C₁₃×#2373	2
C₁₃×#2364	2
C₁₃×#2361	2
C₁₃×#2359	2
C₁₃×#2352	2
C₁₃×#2349	2
D₄×C₁₃×C₄⋊C₄	2
C₁₃×#2345	2
C₁₃×#2343	2
C₁₃×#2336	2
C₁₃×#2335	2
C₁₃×#2334	2
C₁₃×#2325	2
C₁₃×#2322	2
C₁₃×#2318	2
C₁₃×#2314	2
C₄×C₁₃×#121	2
C₁₃×#2290	2
C₂×C₁₃×#387	2
#34497	13

Subgroups — C13×#34497 #15720836

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34497 #15720836