Subgroups — C₁₃×#35055 #15721394

Order 3328.

2026 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2855	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2853	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2849	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#2848	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2665	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2663	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2653	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2652	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2564	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2561	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2549	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2534	C₂	1	1	yes	maximal, characteristic
13	C₁₃×#2530	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2527	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2521	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2515	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2493	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2488	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2477	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2472	C₂	1	1	yes	maximal, characteristic
22	C₁₃×#2470	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2465	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2458	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#2337	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2334	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2332	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#123	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×C₂²⋊Q₈	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×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
50	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
51	C₁₃×#401	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#397	C₂²	1	1	yes	characteristic
62	C₁₃×#397	C₂²	1	1	yes	characteristic
63	C₁₃×#397	C₂²	1	1	yes	characteristic
64	C₁₃×#397	C₂²	1	1	yes	characteristic
65	C₁₃×#397	C₂²	1	1	yes	characteristic
66	C₁₃×#397	C₂²	1	1	yes	characteristic
67	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#396	C₂²	1	1	yes	characteristic
69	C₁₃×#396	C₂²	1	1	yes	characteristic
70	C₁₃×#396	C₂²	1	1	yes	characteristic
71	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#394	C₂²	1	1	yes	characteristic
75	C₁₃×#394	C₂²	1	1	yes	characteristic
76	C₁₃×#394	C₂²	1	1	yes	characteristic
77	C₁₃×#394	C₂²	1	1	yes	characteristic
78	C₁₃×#393	C₂²	1	1	yes	characteristic
79	C₁₃×#393	C₂²	1	1	yes	characteristic
80	C₁₃×#393	C₂²	1	1	yes	characteristic
81	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#390	C₂²	1	1	yes	characteristic
90	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
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
105	C₁₃×#388	C₂²	1	1	yes	characteristic
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×#388	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#388	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×#387	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#386	C₂²	1	1	yes	characteristic
132	C₁₃×#386	C₂²	1	1	yes	characteristic
133	C₁₃×#386	C₂²	1	1	yes	characteristic
134	C₁₃×#386	C₂²	1	1	yes	characteristic
135	C₁₃×#386	C₂²	1	1	yes	characteristic
136	C₁₃×#386	C₂²	1	1	yes	characteristic
137	C₁₃×#386	C₂²	1	1	yes	characteristic
138	C₁₃×#386	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×#385	C₂²	1	1	yes	characteristic
147	C₁₃×#385	C₂²	1	1	yes	characteristic
148	C₁₃×#385	C₂²	1	1	yes	characteristic
149	C₁₃×#385	C₂²	1	1	yes	characteristic
150	C₁₃×#385	C₂²	1	1	yes	characteristic
151	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#381	C₂²	1	1	yes	characteristic
156	C₁₃×#381	C₂²	1	1	yes	characteristic
157	C₁₃×#381	C₂²	1	1	yes	characteristic
158	C₁₃×#381	C₂²	1	1	yes	characteristic
159	C₁₃×#381	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	C₁₃×#380	C₂²	1	1	yes	characteristic
164	C₁₃×#380	C₂²	1	1	yes	characteristic
165	C₁₃×#379	C₂²	1	1	yes	characteristic
166	C₁₃×#379	C₂²	1	1	yes	characteristic
167	C₁₃×#379	C₂²	1	1	yes	characteristic
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×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
171	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
185	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
186	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
187	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×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	—	2	4	no	—
195	C₂³×C₄×C₁₃	—	4	2	no	—
196	C₂³×C₄×C₁₃	—	4	2	no	—
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	C₁₃×#126	—	2	4	no	—
209	C₁₃×#124	—	2	4	no	—
210	C₁₃×#123	—	2	4	no	—
211	C₁₃×#123	—	4	2	no	—
212	C₁₃×#123	—	4	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	4	no	—
214	C₁₃×C₂²⋊Q₈	—	2	4	no	—
215	C₁₃×C₂²⋊Q₈	—	4	2	no	—
216	C₁₃×C₂²⋊Q₈	—	4	2	no	—
217	C₁₃×C₂²⋊Q₈	—	4	2	no	—
218	C₁₃×#120	—	4	2	no	—
219	C₄×Q₈×C₁₃	—	4	2	no	—
220	C₄×D₄×C₁₃	—	2	4	no	—
221	C₁₃×#117	—	4	2	no	—
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
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×C₄²×C₁₃	—	4	2	no	—
295	C₂×C₄²×C₁₃	—	4	2	no	—
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	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	C₁₃×#95	C₂³	1	1	yes	characteristic
349	C₁₃×#95	C₂³	1	1	yes	characteristic
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	C₁₃×#95	C₂³	1	1	yes	characteristic
358	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	#35055	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
364	C₂⁴×C₁₃	—	2	2	no	—
365	C₂⁴×C₁₃	—	2	2	no	—
366	C₂⁴×C₁₃	—	2	2	no	—
367	C₂⁴×C₁₃	—	2	2	no	—
368	C₂⁴×C₁₃	—	2	2	no	—
369	C₂⁴×C₁₃	—	4	1	no	—
370	C₂⁴×C₁₃	—	4	1	no	—
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×Q₈×C₁₃	—	2	2	no	—
376	C₂×Q₈×C₁₃	—	2	2	no	—
377	C₂×Q₈×C₁₃	—	2	2	no	—
378	C₂×Q₈×C₁₃	—	4	1	no	—
379	C₂×Q₈×C₁₃	—	4	1	no	—
380	C₂×Q₈×C₁₃	—	4	1	no	—
381	C₂×Q₈×C₁₃	—	4	1	no	—
382	C₂×Q₈×C₁₃	—	4	1	no	—
383	C₂×Q₈×C₁₃	—	4	1	no	—
384	C₂×D₄×C₁₃	—	2	2	no	—
385	C₂×D₄×C₁₃	—	2	2	no	—
386	C₂×D₄×C₁₃	—	2	2	no	—
387	C₂×D₄×C₁₃	—	2	2	no	—
388	C₂×D₄×C₁₃	—	2	2	no	—
389	C₂×D₄×C₁₃	—	4	1	no	—
390	C₂×D₄×C₁₃	—	4	1	no	—
391	C₂×D₄×C₁₃	—	4	1	no	—
392	C₂×D₄×C₁₃	—	4	1	no	—
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	—	2	2	no	—
401	C₂²×C₄×C₁₃	—	2	2	no	—
402	C₂²×C₄×C₁₃	—	2	2	no	—
403	C₂²×C₄×C₁₃	—	2	2	no	—
404	C₂²×C₄×C₁₃	—	2	2	no	—
405	C₂²×C₄×C₁₃	—	2	2	no	—
406	C₂²×C₄×C₁₃	—	2	2	no	—
407	C₂²×C₄×C₁₃	—	2	2	no	—
408	C₂²×C₄×C₁₃	—	2	2	no	—
409	C₂²×C₄×C₁₃	—	2	2	no	—
410	C₂²×C₄×C₁₃	—	2	2	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	16	no	—
425	C₂²×C₄×C₁₃	#41	1	4	yes	—
426	C₂²×C₄×C₁₃	#41	1	4	yes	—
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	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	C₁₃×C₄⋊C₄	—	2	2	no	—
455	C₁₃×C₄⋊C₄	—	2	2	no	—
456	C₁₃×C₄⋊C₄	—	2	2	no	—
457	C₁₃×C₄⋊C₄	—	2	2	no	—
458	C₁₃×C₄⋊C₄	—	2	2	no	—
459	C₁₃×C₄⋊C₄	—	2	2	no	—
460	C₁₃×C₄⋊C₄	—	2	2	no	—
461	C₁₃×C₄⋊C₄	—	2	2	no	—
462	C₁₃×C₄⋊C₄	—	2	2	no	—
463	C₁₃×C₄⋊C₄	—	2	2	no	—
464	C₁₃×C₄⋊C₄	—	2	2	no	—
465	C₁₃×C₄⋊C₄	—	2	2	no	—
466	C₁₃×C₄⋊C₄	—	2	2	no	—
467	C₁₃×C₄⋊C₄	—	2	2	no	—
468	C₁₃×C₄⋊C₄	—	2	2	no	—
469	C₁₃×C₄⋊C₄	—	4	1	no	—
470	C₁₃×C₄⋊C₄	—	4	1	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×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₁₃×C₂²⋊C₄	—	2	2	no	—
487	C₁₃×C₂²⋊C₄	—	2	2	no	—
488	C₁₃×C₂²⋊C₄	—	2	2	no	—
489	C₁₃×C₂²⋊C₄	—	2	2	no	—
490	C₁₃×C₂²⋊C₄	—	2	2	no	—
491	C₁₃×C₂²⋊C₄	—	2	2	no	—
492	C₁₃×C₂²⋊C₄	—	2	2	no	—
493	C₁₃×C₂²⋊C₄	—	2	2	no	—
494	C₁₃×C₂²⋊C₄	—	2	2	no	—
495	C₁₃×C₂²⋊C₄	—	2	2	no	—
496	C₁₃×C₂²⋊C₄	—	2	2	no	—
497	C₁₃×C₂²⋊C₄	—	2	2	no	—
498	C₁₃×C₂²⋊C₄	—	2	2	no	—
499	C₁₃×C₂²⋊C₄	—	2	2	no	—
500	C₁₃×C₂²⋊C₄	—	2	2	no	—
501	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	2	2	no	—
509	C₁₃×C₂²⋊C₄	—	2	2	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	#41	1	4	yes	—
524	C₄²×C₁₃	—	2	2	no	—
525	C₄²×C₁₃	—	2	2	no	—
526	C₄²×C₁₃	—	2	2	no	—
527	C₄²×C₁₃	—	2	2	no	—
528	C₄²×C₁₃	—	2	2	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	—	4	1	no	—
537	C₄²×C₁₃	—	4	1	no	—
538	C₄²×C₁₃	—	4	1	no	—
539	#2855	C₂×C₁₃	1	1	yes	characteristic, complemented
540	#2853	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#2849	C₂×C₁₃	1	1	yes	characteristic
542	#2848	C₂×C₁₃	1	1	yes	characteristic, complemented
543	#2665	C₂×C₁₃	1	1	yes	characteristic, complemented
544	#2663	C₂×C₁₃	1	1	yes	characteristic, complemented
545	#2653	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#2652	C₂×C₁₃	1	1	yes	characteristic, complemented
547	#2564	C₂×C₁₃	1	1	yes	characteristic, complemented
548	#2561	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#2549	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#2534	C₂×C₁₃	1	1	yes	characteristic
551	#2530	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#2527	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#2521	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#2515	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#2493	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#2488	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2480	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#2477	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#2472	C₂×C₁₃	1	1	yes	characteristic
560	#2470	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#2465	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#2458	C₂×C₁₃	1	1	yes	characteristic, complemented
563	#2337	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2334	C₂×C₁₃	1	1	yes	characteristic, complemented
566	#2332	C₂×C₁₃	1	1	yes	characteristic, complemented
567	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
569	C₂×C₄×C₂²⋊C₄	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	8	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	—	4	4	no	—
598	C₂³×C₁₃	—	4	4	no	—
599	C₂³×C₁₃	—	4	4	no	—
600	C₂³×C₁₃	C₂×#41	1	2	yes	—
601	C₂³×C₁₃	C₂×#41	1	2	yes	—
602	C₂³×C₁₃	C₂×#41	1	2	yes	—
603	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
604	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
605	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
606	Q₈×C₁₃	—	4	4	no	—
607	Q₈×C₁₃	—	8	2	no	—
608	Q₈×C₁₃	—	8	2	no	—
609	D₄×C₁₃	—	4	4	no	—
610	D₄×C₁₃	—	8	2	no	—
611	D₄×C₁₃	—	8	2	no	—
612	C₂×C₄×C₁₃	—	2	8	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	—	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	—	4	4	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	—	4	4	no	—
697	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
698	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
699	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
700	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
701	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
702	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
703	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
704	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
705	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
706	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
707	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
708	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
709	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
710	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
711	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
712	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
713	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
714	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
715	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
716	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	C₂×C₄×D₄	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×C₄²	C₂²×C₁₃	1	1	yes	characteristic
722	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
723	#401	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
731	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
732	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	#397	C₂²×C₁₃	1	1	yes	characteristic
734	#397	C₂²×C₁₃	1	1	yes	characteristic
735	#397	C₂²×C₁₃	1	1	yes	characteristic
736	#397	C₂²×C₁₃	1	1	yes	characteristic
737	#397	C₂²×C₁₃	1	1	yes	characteristic
738	#397	C₂²×C₁₃	1	1	yes	characteristic
739	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	#396	C₂²×C₁₃	1	1	yes	characteristic
741	#396	C₂²×C₁₃	1	1	yes	characteristic
742	#396	C₂²×C₁₃	1	1	yes	characteristic
743	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
744	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
745	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
746	#394	C₂²×C₁₃	1	1	yes	characteristic
747	#394	C₂²×C₁₃	1	1	yes	characteristic
748	#394	C₂²×C₁₃	1	1	yes	characteristic
749	#394	C₂²×C₁₃	1	1	yes	characteristic
750	#393	C₂²×C₁₃	1	1	yes	characteristic
751	#393	C₂²×C₁₃	1	1	yes	characteristic
752	#393	C₂²×C₁₃	1	1	yes	characteristic
753	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
754	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
755	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
756	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
757	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
761	#390	C₂²×C₁₃	1	1	yes	characteristic
762	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
763	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	#388	C₂²×C₁₃	1	1	yes	characteristic
775	#388	C₂²×C₁₃	1	1	yes	characteristic
776	#388	C₂²×C₁₃	1	1	yes	characteristic
777	#388	C₂²×C₁₃	1	1	yes	characteristic
778	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#388	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	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
797	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
800	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
801	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
802	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	#385	C₂²×C₁₃	1	1	yes	characteristic
812	#385	C₂²×C₁₃	1	1	yes	characteristic
813	#385	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, complemented
824	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
825	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
826	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
827	#381	C₂²×C₁₃	1	1	yes	characteristic
828	#381	C₂²×C₁₃	1	1	yes	characteristic
829	#381	C₂²×C₁₃	1	1	yes	characteristic
830	#381	C₂²×C₁₃	1	1	yes	characteristic
831	#381	C₂²×C₁₃	1	1	yes	characteristic
832	#380	C₂²×C₁₃	1	1	yes	characteristic
833	#380	C₂²×C₁₃	1	1	yes	characteristic
834	#380	C₂²×C₁₃	1	1	yes	characteristic
835	#380	C₂²×C₁₃	1	1	yes	characteristic
836	#380	C₂²×C₁₃	1	1	yes	characteristic
837	#379	C₂²×C₁₃	1	1	yes	characteristic
838	#379	C₂²×C₁₃	1	1	yes	characteristic
839	#379	C₂²×C₁₃	1	1	yes	characteristic
840	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
841	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
842	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
843	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
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
850	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
851	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
852	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
853	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
854	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
855	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#376	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
858	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
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	—	2	2	no	—
869	C₂²×C₁₃	—	2	2	no	—
870	C₂²×C₁₃	—	2	2	no	—
871	C₂²×C₁₃	—	4	16	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	—	4	1	no	—
885	C₂²×C₁₃	—	4	1	no	—
886	C₂²×C₁₃	—	4	1	no	—
887	C₂²×C₁₃	#542	1	4	yes	—
888	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
889	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
890	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
891	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
892	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
893	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
894	C₂²×C₁₃	#585	1	1	yes	characteristic
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	—	4	1	no	—
903	C₄×C₁₃	—	4	1	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	C₄×C₁₃	—	4	1	no	—
920	C₄×C₁₃	—	4	1	no	—
921	C₄×C₁₃	—	4	1	no	—
922	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
923	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
924	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
925	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
926	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
927	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
928	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
929	C₂³×C₄	—	2	4	no	—
930	C₂³×C₄	—	4	2	no	—
931	C₂³×C₄	—	4	2	no	—
932	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
933	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
934	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
935	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
936	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
937	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
938	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
939	C₂³×C₄	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	#126	—	2	4	no	—
944	#124	—	2	4	no	—
945	#123	—	2	4	no	—
946	#123	—	4	2	no	—
947	#123	—	4	2	no	—
948	C₂²⋊Q₈	—	2	4	no	—
949	C₂²⋊Q₈	—	2	4	no	—
950	C₂²⋊Q₈	—	4	2	no	—
951	C₂²⋊Q₈	—	4	2	no	—
952	C₂²⋊Q₈	—	4	2	no	—
953	#120	—	4	2	no	—
954	C₄×Q₈	—	4	2	no	—
955	C₄×D₄	—	2	4	no	—
956	#117	—	4	2	no	—
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×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
988	C₂×C₂²⋊C₄	—	2	4	no	—
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×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×C₄²	—	4	2	no	—
1030	C₂×C₄²	—	4	2	no	—
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	#95	C₂³×C₁₃	1	1	yes	characteristic
1047	#95	C₂³×C₁₃	1	1	yes	characteristic
1048	#95	C₂³×C₁₃	1	1	yes	characteristic
1049	#95	C₂³×C₁₃	1	1	yes	characteristic
1050	#95	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	#95	C₂³×C₁₃	1	1	yes	characteristic
1096	#95	C₂³×C₁₃	1	1	yes	characteristic
1097	#95	C₂³×C₁₃	1	1	yes	characteristic
1098	C₂×C₁₃	—	2	4	no	—
1099	C₂×C₁₃	—	4	2	no	—
1100	C₂×C₁₃	—	4	2	no	—
1101	C₂×C₁₃	—	8	1	no	—
1102	C₂×C₁₃	#3444	1	1	yes	characteristic
1103	C₂×C₁₃	C₂×#542	1	1	yes	characteristic
1104	C₂×C₁₃	#3459	1	1	yes	characteristic
1105	C₂×C₁₃	#3490	1	1	yes	characteristic
1106	C₂×C₁₃	#3495	1	1	yes	characteristic
1107	C₂×C₁₃	#3513	1	1	yes	characteristic
1108	C₂×C₁₃	#3520	1	1	yes	characteristic
1109	C₂⁴	—	2	2	no	—
1110	C₂⁴	—	2	2	no	—
1111	C₂⁴	—	2	2	no	—
1112	C₂⁴	—	2	2	no	—
1113	C₂⁴	—	2	2	no	—
1114	C₂⁴	—	4	1	no	—
1115	C₂⁴	—	4	1	no	—
1116	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1118	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1119	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1120	C₂×Q₈	—	2	2	no	—
1121	C₂×Q₈	—	2	2	no	—
1122	C₂×Q₈	—	2	2	no	—
1123	C₂×Q₈	—	4	1	no	—
1124	C₂×Q₈	—	4	1	no	—
1125	C₂×Q₈	—	4	1	no	—
1126	C₂×Q₈	—	4	1	no	—
1127	C₂×Q₈	—	4	1	no	—
1128	C₂×Q₈	—	4	1	no	—
1129	C₂×D₄	—	2	2	no	—
1130	C₂×D₄	—	2	2	no	—
1131	C₂×D₄	—	2	2	no	—
1132	C₂×D₄	—	2	2	no	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂²×C₄	—	2	2	no	—
1139	C₂²×C₄	—	2	2	no	—
1140	C₂²×C₄	—	2	2	no	—
1141	C₂²×C₄	—	2	2	no	—
1142	C₂²×C₄	—	2	2	no	—
1143	C₂²×C₄	—	2	2	no	—
1144	C₂²×C₄	—	2	2	no	—
1145	C₂²×C₄	—	2	2	no	—
1146	C₂²×C₄	—	2	2	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	2	no	—
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	16	no	—
1170	C₂²×C₄	C₁₃×#41	1	4	yes	—
1171	C₂²×C₄	C₁₃×#41	1	4	yes	—
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	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1184	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	2	2	no	—
1206	C₄⋊C₄	—	2	2	no	—
1207	C₄⋊C₄	—	2	2	no	—
1208	C₄⋊C₄	—	2	2	no	—
1209	C₄⋊C₄	—	2	2	no	—
1210	C₄⋊C₄	—	2	2	no	—
1211	C₄⋊C₄	—	2	2	no	—
1212	C₄⋊C₄	—	2	2	no	—
1213	C₄⋊C₄	—	2	2	no	—
1214	C₄⋊C₄	—	4	1	no	—
1215	C₄⋊C₄	—	4	1	no	—
1216	C₄⋊C₄	—	4	1	no	—
1217	C₄⋊C₄	—	4	1	no	—
1218	C₄⋊C₄	—	4	1	no	—
1219	C₄⋊C₄	—	4	1	no	—
1220	C₄⋊C₄	—	4	1	no	—
1221	C₄⋊C₄	—	4	1	no	—
1222	C₄⋊C₄	—	4	1	no	—
1223	C₄⋊C₄	—	4	1	no	—
1224	C₄⋊C₄	—	4	1	no	—
1225	C₄⋊C₄	—	4	1	no	—
1226	C₄⋊C₄	—	4	1	no	—
1227	C₄⋊C₄	—	4	1	no	—
1228	C₄⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	2	2	no	—
1231	C₂²⋊C₄	—	2	2	no	—
1232	C₂²⋊C₄	—	2	2	no	—
1233	C₂²⋊C₄	—	2	2	no	—
1234	C₂²⋊C₄	—	2	2	no	—
1235	C₂²⋊C₄	—	2	2	no	—
1236	C₂²⋊C₄	—	2	2	no	—
1237	C₂²⋊C₄	—	2	2	no	—
1238	C₂²⋊C₄	—	2	2	no	—
1239	C₂²⋊C₄	—	2	2	no	—
1240	C₂²⋊C₄	—	2	2	no	—
1241	C₂²⋊C₄	—	2	2	no	—
1242	C₂²⋊C₄	—	2	2	no	—
1243	C₂²⋊C₄	—	2	2	no	—
1244	C₂²⋊C₄	—	2	2	no	—
1245	C₂²⋊C₄	—	2	2	no	—
1246	C₂²⋊C₄	—	2	2	no	—
1247	C₂²⋊C₄	—	2	2	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	2	no	—
1250	C₂²⋊C₄	—	2	2	no	—
1251	C₂²⋊C₄	—	2	2	no	—
1252	C₂²⋊C₄	—	2	2	no	—
1253	C₂²⋊C₄	—	2	2	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	4	1	no	—
1257	C₂²⋊C₄	—	4	1	no	—
1258	C₂²⋊C₄	—	4	1	no	—
1259	C₂²⋊C₄	—	4	1	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	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	C₁₃×#41	1	4	yes	—
1269	C₄²	—	2	2	no	—
1270	C₄²	—	2	2	no	—
1271	C₄²	—	2	2	no	—
1272	C₄²	—	2	2	no	—
1273	C₄²	—	2	2	no	—
1274	C₄²	—	4	1	no	—
1275	C₄²	—	4	1	no	—
1276	C₄²	—	4	1	no	—
1277	C₄²	—	4	1	no	—
1278	C₄²	—	4	1	no	—
1279	C₄²	—	4	1	no	—
1280	C₄²	—	4	1	no	—
1281	C₄²	—	4	1	no	—
1282	C₄²	—	4	1	no	—
1283	C₄²	—	4	1	no	—
1284	C₁₃	#35055	1	1	yes	characteristic, direct product factor, Sylow
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	8	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	—	2	1	no	—
1306	C₂³	—	2	1	no	—
1307	C₂³	—	2	1	no	—
1308	C₂³	—	2	1	no	—
1309	C₂³	—	4	4	no	—
1310	C₂³	—	4	4	no	—
1311	C₂³	—	4	4	no	—
1312	C₂³	—	4	4	no	—
1313	C₂³	—	4	4	no	—
1314	C₂³	—	4	4	no	—
1315	C₂³	C₂×C₁₃×#41	1	2	yes	—
1316	C₂³	C₂×C₁₃×#41	1	2	yes	—
1317	C₂³	C₂×C₁₃×#41	1	2	yes	—
1318	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1319	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
1320	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1321	Q₈	—	4	4	no	—
1322	Q₈	—	8	2	no	—
1323	Q₈	—	8	2	no	—
1324	D₄	—	4	4	no	—
1325	D₄	—	8	2	no	—
1326	D₄	—	8	2	no	—
1327	C₂×C₄	—	2	8	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	—	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	—	4	4	no	—
1403	C₂×C₄	—	4	4	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	4	4	no	—
1407	C₂×C₄	—	4	4	no	—
1408	C₂×C₄	—	4	4	no	—
1409	C₂×C₄	—	4	4	no	—
1410	C₂×C₄	—	4	4	no	—
1411	C₂×C₄	—	4	4	no	—
1412	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1413	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1414	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1415	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1416	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1417	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1418	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	2	no	—
1431	C₂²	—	4	16	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	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	4	1	no	—
1444	C₂²	—	4	1	no	—
1445	C₂²	—	4	1	no	—
1446	C₂²	—	4	1	no	—
1447	C₂²	C₁₃×#542	1	4	yes	—
1448	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1449	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1450	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1451	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1452	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1454	C₂²	C₁₃×#585	1	1	yes	characteristic
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	2	2	no	—
1460	C₄	—	2	2	no	—
1461	C₄	—	2	2	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	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	4	1	no	—
1477	C₄	—	4	1	no	—
1478	C₄	—	4	1	no	—
1479	C₄	—	4	1	no	—
1480	C₄	—	4	1	no	—
1481	C₄	—	4	1	no	—
1482	C₂	—	2	4	no	—
1483	C₂	—	4	2	no	—
1484	C₂	—	4	2	no	—
1485	C₂	—	8	1	no	—
1486	C₂	C₁₃×#3444	1	1	yes	characteristic
1487	C₂	C₂×C₁₃×#542	1	1	yes	characteristic
1488	C₂	C₁₃×#3459	1	1	yes	characteristic
1489	C₂	C₁₃×#3490	1	1	yes	characteristic
1490	C₂	C₁₃×#3495	1	1	yes	characteristic
1491	C₂	C₁₃×#3513	1	1	yes	characteristic
1492	C₂	C₁₃×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#120	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2855	C₂	semidirect
2. C₁₃×#2853	C₂	semidirect
4. C₁₃×#2848	C₂	semidirect
5. C₁₃×#2665	C₂	semidirect
6. C₁₃×#2663	C₂	semidirect
7. C₁₃×#2653	C₂	semidirect
8. C₁₃×#2652	C₂	semidirect
9. C₁₃×#2564	C₂	semidirect
10. C₁₃×#2561	C₂	semidirect
11. C₁₃×#2549	C₂	semidirect
13. C₁₃×#2530	C₂	semidirect
14. C₁₃×#2527	C₂	semidirect
15. C₁₃×#2521	C₂	semidirect
16. C₁₃×#2515	C₂	semidirect
17. C₁₃×#2493	C₂	semidirect
18. C₁₃×#2488	C₂	semidirect
19. C₁₃×#2480	C₂	semidirect
20. C₁₃×#2477	C₂	semidirect
22. C₁₃×#2470	C₂	semidirect
23. C₁₃×#2465	C₂	semidirect
24. C₁₃×#2458	C₂	semidirect
25. C₁₃×#2337	C₂	semidirect
26. C₁₃×#2335	C₂	semidirect
27. C₁₃×#2334	C₂	semidirect
28. C₁₃×#2332	C₂	semidirect
29. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
30. C₁₃×#2290	C₂	semidirect
31. C₂×C₄×C₁₃×C₂²⋊C₄	C₂	semidirect
44. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
46. C₂×C₁₃×#117	C₂²	semidirect
51. C₁₃×#401	C₂²	semidirect
52. C₁₃×#400	C₂²	semidirect
53. C₁₃×#400	C₂²	semidirect
54. C₁₃×#400	C₂²	semidirect
55. C₁₃×#400	C₂²	semidirect
56. C₁₃×#400	C₂²	semidirect
57. C₁₃×#400	C₂²	semidirect
58. C₁₃×#399	C₂²	semidirect
59. C₁₃×#398	C₂²	semidirect
60. C₁₃×#398	C₂²	semidirect
67. C₁₃×#397	C₂²	semidirect
71. C₁₃×#395	C₂²	semidirect
72. C₁₃×#395	C₂²	semidirect
73. C₁₃×#395	C₂²	semidirect
81. C₁₃×#393	C₂²	semidirect
82. C₁₃×#393	C₂²	semidirect
83. C₁₃×#391	C₂²	semidirect
84. C₁₃×#391	C₂²	semidirect
85. C₁₃×#391	C₂²	semidirect
86. C₁₃×#391	C₂²	semidirect
87. C₁₃×#391	C₂²	semidirect
88. C₁₃×#391	C₂²	semidirect
90. C₁₃×#389	C₂²	semidirect
91. C₁₃×#389	C₂²	semidirect
92. C₁₃×#389	C₂²	semidirect
93. C₁₃×#389	C₂²	semidirect
94. C₁₃×#389	C₂²	semidirect
106. C₁₃×#388	C₂²	semidirect
107. C₁₃×#388	C₂²	semidirect
108. C₁₃×#388	C₂²	semidirect
109. C₁₃×#388	C₂²	semidirect
110. C₁₃×#388	C₂²	semidirect
111. C₁₃×#388	C₂²	semidirect
112. C₁₃×#388	C₂²	semidirect
113. C₁₃×#388	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
126. C₁₃×#387	C₂²	semidirect
127. C₁₃×#387	C₂²	semidirect
128. C₁₃×#387	C₂²	semidirect
129. C₁₃×#387	C₂²	semidirect
130. C₁₃×#387	C₂²	semidirect
151. C₁₃×#385	C₂²	semidirect
152. C₁₃×#385	C₂²	semidirect
153. C₁₃×#383	C₂²	semidirect
154. C₁₃×#382	C₂²	semidirect
168. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
169. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
170. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
171. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
183. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
184. C₁₃×#376	C₂²	semidirect
363. #35055	C₁₃	direct (N × H)
539. #2855	C₂×C₁₃	semidirect
540. #2853	C₂×C₁₃	semidirect
542. #2848	C₂×C₁₃	semidirect
543. #2665	C₂×C₁₃	semidirect
544. #2663	C₂×C₁₃	semidirect
545. #2653	C₂×C₁₃	semidirect
546. #2652	C₂×C₁₃	semidirect
547. #2564	C₂×C₁₃	semidirect
548. #2561	C₂×C₁₃	semidirect
549. #2549	C₂×C₁₃	semidirect
551. #2530	C₂×C₁₃	semidirect
552. #2527	C₂×C₁₃	semidirect
553. #2521	C₂×C₁₃	semidirect
554. #2515	C₂×C₁₃	semidirect
555. #2493	C₂×C₁₃	semidirect
556. #2488	C₂×C₁₃	semidirect
557. #2480	C₂×C₁₃	semidirect
558. #2477	C₂×C₁₃	semidirect
560. #2470	C₂×C₁₃	semidirect
561. #2465	C₂×C₁₃	semidirect
562. #2458	C₂×C₁₃	semidirect
563. #2337	C₂×C₁₃	semidirect
564. #2335	C₂×C₁₃	semidirect
565. #2334	C₂×C₁₃	semidirect
566. #2332	C₂×C₁₃	semidirect
567. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
568. #2290	C₂×C₁₃	semidirect
569. C₂×C₄×C₂²⋊C₄	C₂×C₁₃	semidirect
716. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
718. C₂×#117	C₂²×C₁₃	semidirect
723. #401	C₂²×C₁₃	semidirect
724. #400	C₂²×C₁₃	semidirect
725. #400	C₂²×C₁₃	semidirect
726. #400	C₂²×C₁₃	semidirect
727. #400	C₂²×C₁₃	semidirect
728. #400	C₂²×C₁₃	semidirect
729. #400	C₂²×C₁₃	semidirect
730. #399	C₂²×C₁₃	semidirect
731. #398	C₂²×C₁₃	semidirect
732. #398	C₂²×C₁₃	semidirect
739. #397	C₂²×C₁₃	semidirect
743. #395	C₂²×C₁₃	semidirect
744. #395	C₂²×C₁₃	semidirect
745. #395	C₂²×C₁₃	semidirect
753. #393	C₂²×C₁₃	semidirect
754. #393	C₂²×C₁₃	semidirect
755. #391	C₂²×C₁₃	semidirect
756. #391	C₂²×C₁₃	semidirect
757. #391	C₂²×C₁₃	semidirect
758. #391	C₂²×C₁₃	semidirect
759. #391	C₂²×C₁₃	semidirect
760. #391	C₂²×C₁₃	semidirect
762. #389	C₂²×C₁₃	semidirect
763. #389	C₂²×C₁₃	semidirect
764. #389	C₂²×C₁₃	semidirect
765. #389	C₂²×C₁₃	semidirect
766. #389	C₂²×C₁₃	semidirect
778. #388	C₂²×C₁₃	semidirect
779. #388	C₂²×C₁₃	semidirect
780. #388	C₂²×C₁₃	semidirect
781. #388	C₂²×C₁₃	semidirect
782. #388	C₂²×C₁₃	semidirect
783. #388	C₂²×C₁₃	semidirect
784. #388	C₂²×C₁₃	semidirect
785. #388	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
794. #387	C₂²×C₁₃	semidirect
795. #387	C₂²×C₁₃	semidirect
796. #387	C₂²×C₁₃	semidirect
797. #387	C₂²×C₁₃	semidirect
798. #387	C₂²×C₁₃	semidirect
799. #387	C₂²×C₁₃	semidirect
800. #387	C₂²×C₁₃	semidirect
801. #387	C₂²×C₁₃	semidirect
802. #387	C₂²×C₁₃	semidirect
823. #385	C₂²×C₁₃	semidirect
824. #385	C₂²×C₁₃	semidirect
825. #383	C₂²×C₁₃	semidirect
826. #382	C₂²×C₁₃	semidirect
840. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
841. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
842. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
843. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
855. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
856. #376	C₂²×C₁₃	semidirect
1284. C₁₃	#35055	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#2855	2
C₁₃×#2853	2
C₁₃×#2849	2
C₁₃×#2848	2
C₁₃×#2665	2
C₁₃×#2663	2
C₁₃×#2653	2
C₁₃×#2652	2
C₁₃×#2564	2
C₁₃×#2561	2
C₁₃×#2549	2
C₁₃×#2534	2
C₁₃×#2530	2
C₁₃×#2527	2
C₁₃×#2521	2
C₁₃×#2515	2
C₁₃×#2493	2
C₁₃×#2488	2
C₁₃×#2480	2
C₁₃×#2477	2
C₁₃×#2472	2
C₁₃×#2470	2
C₁₃×#2465	2
C₁₃×#2458	2
C₁₃×#2337	2
C₁₃×#2335	2
C₁₃×#2334	2
C₁₃×#2332	2
C₄×C₁₃×C₂²⋊Q₈	2
C₁₃×#2290	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
#35055	13

Subgroups — C13×#35055 #15721394

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#35055 #15721394