Subgroups — C₁₃×#35027 #15721366

Order 3328.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2866	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2865	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2853	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2654	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2653	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2650	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2649	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2597	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2596	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2595	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2594	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2569	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2564	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2561	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2534	C₂	1	1	yes	maximal, characteristic
17	C₁₃×#2525	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2516	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2493	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2469	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2458	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2419	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2418	C₂	1	1	yes	maximal, characteristic
25	C₁₃×#2322	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2321	C₂	1	1	yes	maximal, characteristic
27	C₁₃×#2313	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2312	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
46	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#401	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#400	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×#399	C₂²	1	1	yes	characteristic
56	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#397	C₂²	1	1	yes	characteristic
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, complemented
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×#394	C₂²	1	1	yes	characteristic
73	C₁₃×#394	C₂²	1	1	yes	characteristic
74	C₁₃×#394	C₂²	1	1	yes	characteristic
75	C₁₃×#394	C₂²	1	1	yes	characteristic
76	C₁₃×#393	C₂²	1	1	yes	characteristic
77	C₁₃×#393	C₂²	1	1	yes	characteristic
78	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#390	C₂²	1	1	yes	characteristic
81	C₁₃×#390	C₂²	1	1	yes	characteristic
82	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#388	C₂²	1	1	yes	characteristic
86	C₁₃×#388	C₂²	1	1	yes	characteristic
87	C₁₃×#388	C₂²	1	1	yes	characteristic
88	C₁₃×#388	C₂²	1	1	yes	characteristic
89	C₁₃×#388	C₂²	1	1	yes	characteristic
90	C₁₃×#388	C₂²	1	1	yes	characteristic
91	C₁₃×#388	C₂²	1	1	yes	characteristic
92	C₁₃×#388	C₂²	1	1	yes	characteristic
93	C₁₃×#388	C₂²	1	1	yes	characteristic
94	C₁₃×#388	C₂²	1	1	yes	characteristic
95	C₁₃×#388	C₂²	1	1	yes	characteristic
96	C₁₃×#388	C₂²	1	1	yes	characteristic
97	C₁₃×#388	C₂²	1	1	yes	characteristic
98	C₁₃×#388	C₂²	1	1	yes	characteristic
99	C₁₃×#388	C₂²	1	1	yes	characteristic
100	C₁₃×#388	C₂²	1	1	yes	characteristic
101	C₁₃×#388	C₂²	1	1	yes	characteristic
102	C₁₃×#388	C₂²	1	1	yes	characteristic
103	C₁₃×#388	C₂²	1	1	yes	characteristic
104	C₁₃×#388	C₂²	1	1	yes	characteristic
105	C₁₃×#388	C₂²	1	1	yes	characteristic
106	C₁₃×#388	C₂²	1	1	yes	characteristic
107	C₁₃×#388	C₂²	1	1	yes	characteristic
108	C₁₃×#388	C₂²	1	1	yes	characteristic
109	C₁₃×#388	C₂²	1	1	yes	characteristic
110	C₁₃×#388	C₂²	1	1	yes	characteristic
111	C₁₃×#388	C₂²	1	1	yes	characteristic
112	C₁₃×#388	C₂²	1	1	yes	characteristic
113	C₁₃×#388	C₂²	1	1	yes	characteristic
114	C₁₃×#388	C₂²	1	1	yes	characteristic
115	C₁₃×#388	C₂²	1	1	yes	characteristic
116	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#388	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×#387	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#386	C₂²	1	1	yes	characteristic
142	C₁₃×#386	C₂²	1	1	yes	characteristic
143	C₁₃×#386	C₂²	1	1	yes	characteristic
144	C₁₃×#386	C₂²	1	1	yes	characteristic
145	C₁₃×#386	C₂²	1	1	yes	characteristic
146	C₁₃×#386	C₂²	1	1	yes	characteristic
147	C₁₃×#386	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
152	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#381	C₂²	1	1	yes	characteristic
159	C₁₃×#381	C₂²	1	1	yes	characteristic
160	C₁₃×#381	C₂²	1	1	yes	characteristic
161	C₁₃×#381	C₂²	1	1	yes	characteristic, complemented
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×#380	C₂²	1	1	yes	characteristic
166	C₁₃×#380	C₂²	1	1	yes	characteristic
167	C₁₃×#379	C₂²	1	1	yes	characteristic
168	C₁₃×#379	C₂²	1	1	yes	characteristic
169	C₁₃×#379	C₂²	1	1	yes	characteristic
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×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
173	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
185	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
186	C₄³×C₁₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₁₃×#126	—	4	2	no	—
202	C₁₃×#123	—	2	4	no	—
203	C₁₃×#123	—	4	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	4	no	—
205	C₁₃×#120	—	2	4	no	—
206	C₄×Q₈×C₁₃	—	4	2	no	—
207	C₄×D₄×C₁₃	—	2	4	no	—
208	C₄×D₄×C₁₃	—	2	4	no	—
209	C₄×D₄×C₁₃	—	2	4	no	—
210	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
242	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
243	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
244	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₄²×C₁₃	—	4	2	no	—
287	C₂×C₄²×C₁₃	—	4	2	no	—
288	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
298	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	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	C₁₃×#95	C₂³	1	1	yes	characteristic
349	C₁₃×#95	C₂³	1	1	yes	characteristic
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	#35027	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
358	C₂⁴×C₁₃	—	2	2	no	—
359	C₂⁴×C₁₃	—	2	2	no	—
360	C₂⁴×C₁₃	—	2	2	no	—
361	C₂⁴×C₁₃	—	4	1	no	—
362	C₂⁴×C₁₃	—	4	1	no	—
363	C₂⁴×C₁₃	—	4	1	no	—
364	C₂⁴×C₁₃	—	4	1	no	—
365	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×Q₈×C₁₃	—	2	2	no	—
370	C₂×Q₈×C₁₃	—	4	1	no	—
371	C₂×Q₈×C₁₃	—	4	1	no	—
372	C₂×D₄×C₁₃	—	2	2	no	—
373	C₂×D₄×C₁₃	—	2	2	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	4	1	no	—
377	C₂×D₄×C₁₃	—	4	1	no	—
378	C₂×D₄×C₁₃	—	4	1	no	—
379	C₂×D₄×C₁₃	—	4	1	no	—
380	C₂×D₄×C₁₃	#41	1	4	yes	—
381	C₂²×C₄×C₁₃	—	2	2	no	—
382	C₂²×C₄×C₁₃	—	2	2	no	—
383	C₂²×C₄×C₁₃	—	2	2	no	—
384	C₂²×C₄×C₁₃	—	2	2	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	—	4	1	no	—
393	C₂²×C₄×C₁₃	—	4	1	no	—
394	C₂²×C₄×C₁₃	—	4	1	no	—
395	C₂²×C₄×C₁₃	—	4	1	no	—
396	C₂²×C₄×C₁₃	—	4	1	no	—
397	C₂²×C₄×C₁₃	—	4	1	no	—
398	C₂²×C₄×C₁₃	—	4	1	no	—
399	C₂²×C₄×C₁₃	—	4	1	no	—
400	C₂²×C₄×C₁₃	—	4	1	no	—
401	C₂²×C₄×C₁₃	—	4	1	no	—
402	C₂²×C₄×C₁₃	—	4	1	no	—
403	C₂²×C₄×C₁₃	—	4	1	no	—
404	C₂²×C₄×C₁₃	—	4	1	no	—
405	C₂²×C₄×C₁₃	—	4	1	no	—
406	C₂²×C₄×C₁₃	#41	1	4	yes	—
407	C₂²×C₄×C₁₃	#41	1	4	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	2	2	no	—
437	C₁₃×C₄⋊C₄	—	2	2	no	—
438	C₁₃×C₄⋊C₄	—	2	2	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	—	2	2	no	—
441	C₁₃×C₄⋊C₄	—	2	2	no	—
442	C₁₃×C₄⋊C₄	—	2	2	no	—
443	C₁₃×C₄⋊C₄	—	2	2	no	—
444	C₁₃×C₄⋊C₄	—	2	2	no	—
445	C₁₃×C₄⋊C₄	—	2	2	no	—
446	C₁₃×C₄⋊C₄	—	2	2	no	—
447	C₁₃×C₄⋊C₄	—	2	2	no	—
448	C₁₃×C₄⋊C₄	—	2	2	no	—
449	C₁₃×C₄⋊C₄	—	4	1	no	—
450	C₁₃×C₄⋊C₄	—	4	1	no	—
451	C₁₃×C₄⋊C₄	—	4	1	no	—
452	C₁₃×C₄⋊C₄	—	4	1	no	—
453	C₁₃×C₄⋊C₄	—	4	1	no	—
454	C₁₃×C₄⋊C₄	—	4	1	no	—
455	C₁₃×C₄⋊C₄	—	4	1	no	—
456	C₁₃×C₄⋊C₄	—	4	1	no	—
457	C₁₃×C₄⋊C₄	—	4	1	no	—
458	C₁₃×C₄⋊C₄	—	4	1	no	—
459	C₁₃×C₄⋊C₄	—	4	1	no	—
460	C₁₃×C₄⋊C₄	—	4	1	no	—
461	C₁₃×C₄⋊C₄	—	4	1	no	—
462	C₁₃×C₄⋊C₄	—	4	1	no	—
463	C₁₃×C₄⋊C₄	—	4	1	no	—
464	C₁₃×C₄⋊C₄	—	4	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	no	—
467	C₁₃×C₂²⋊C₄	—	2	2	no	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	2	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	2	no	—
481	C₁₃×C₂²⋊C₄	—	2	2	no	—
482	C₁₃×C₂²⋊C₄	—	2	2	no	—
483	C₁₃×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
490	C₁₃×C₂²⋊C₄	—	4	1	no	—
491	C₁₃×C₂²⋊C₄	—	4	1	no	—
492	C₁₃×C₂²⋊C₄	—	4	1	no	—
493	C₁₃×C₂²⋊C₄	—	4	1	no	—
494	C₁₃×C₂²⋊C₄	—	4	1	no	—
495	C₁₃×C₂²⋊C₄	—	4	1	no	—
496	C₁₃×C₂²⋊C₄	—	4	1	no	—
497	C₁₃×C₂²⋊C₄	—	4	1	no	—
498	C₁₃×C₂²⋊C₄	—	4	1	no	—
499	C₁₃×C₂²⋊C₄	—	4	1	no	—
500	C₁₃×C₂²⋊C₄	—	4	1	no	—
501	C₁₃×C₂²⋊C₄	—	4	1	no	—
502	C₁₃×C₂²⋊C₄	—	4	1	no	—
503	C₁₃×C₂²⋊C₄	—	4	1	no	—
504	C₁₃×C₂²⋊C₄	—	4	1	no	—
505	C₁₃×C₂²⋊C₄	—	4	1	no	—
506	C₁₃×C₂²⋊C₄	—	4	1	no	—
507	C₄²×C₁₃	—	2	2	no	—
508	C₄²×C₁₃	—	2	2	no	—
509	C₄²×C₁₃	—	2	2	no	—
510	C₄²×C₁₃	—	2	2	no	—
511	C₄²×C₁₃	—	2	2	no	—
512	C₄²×C₁₃	—	2	2	no	—
513	C₄²×C₁₃	—	4	1	no	—
514	C₄²×C₁₃	—	4	1	no	—
515	C₄²×C₁₃	—	4	1	no	—
516	C₄²×C₁₃	—	4	1	no	—
517	C₄²×C₁₃	—	4	1	no	—
518	C₄²×C₁₃	—	4	1	no	—
519	C₄²×C₁₃	—	4	1	no	—
520	C₄²×C₁₃	—	4	1	no	—
521	C₄²×C₁₃	—	4	1	no	—
522	C₄²×C₁₃	—	4	1	no	—
523	C₄²×C₁₃	—	4	1	no	—
524	#2866	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2865	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#2853	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#2852	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#2654	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#2653	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#2650	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#2649	C₂×C₁₃	1	1	yes	characteristic, complemented
532	#2597	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#2596	C₂×C₁₃	1	1	yes	characteristic, complemented
534	#2595	C₂×C₁₃	1	1	yes	characteristic, complemented
535	#2594	C₂×C₁₃	1	1	yes	characteristic, complemented
536	#2569	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#2564	C₂×C₁₃	1	1	yes	characteristic, complemented
538	#2561	C₂×C₁₃	1	1	yes	characteristic, complemented
539	#2534	C₂×C₁₃	1	1	yes	characteristic
540	#2525	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#2516	C₂×C₁₃	1	1	yes	characteristic, complemented
542	#2493	C₂×C₁₃	1	1	yes	characteristic, complemented
543	#2480	C₂×C₁₃	1	1	yes	characteristic, complemented
544	#2469	C₂×C₁₃	1	1	yes	characteristic, complemented
545	#2458	C₂×C₁₃	1	1	yes	characteristic, complemented
546	#2419	C₂×C₁₃	1	1	yes	characteristic, complemented
547	#2418	C₂×C₁₃	1	1	yes	characteristic
548	#2322	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#2321	C₂×C₁₃	1	1	yes	characteristic
550	#2313	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#2312	C₂×C₁₃	1	1	yes	characteristic, complemented
552	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
553	C₂×#388	C₂×C₁₃	1	1	yes	characteristic, complemented
554	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
555	C₂³×C₁₃	—	2	1	no	—
556	C₂³×C₁₃	—	2	1	no	—
557	C₂³×C₁₃	—	2	1	no	—
558	C₂³×C₁₃	—	2	1	no	—
559	C₂³×C₁₃	—	2	1	no	—
560	C₂³×C₁₃	—	2	1	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	—	2	1	no	—
569	C₂³×C₁₃	—	2	1	no	—
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	2	1	no	—
574	C₂³×C₁₃	—	2	1	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	—	2	1	no	—
577	C₂³×C₁₃	—	2	1	no	—
578	C₂³×C₁₃	—	2	1	no	—
579	C₂³×C₁₃	—	4	4	no	—
580	C₂³×C₁₃	—	4	4	no	—
581	C₂³×C₁₃	—	4	4	no	—
582	C₂³×C₁₃	—	8	2	no	—
583	C₂³×C₁₃	—	8	2	no	—
584	C₂³×C₁₃	—	8	2	no	—
585	C₂³×C₁₃	—	8	2	no	—
586	C₂³×C₁₃	C₂×#41	1	2	yes	—
587	C₂³×C₁₃	C₂×#41	1	2	yes	—
588	C₂³×C₁₃	C₂×#41	1	2	yes	—
589	C₂³×C₁₃	C₂×#41	1	2	yes	—
590	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
591	Q₈×C₁₃	—	4	4	no	—
592	D₄×C₁₃	—	2	8	no	—
593	D₄×C₁₃	—	8	2	no	—
594	D₄×C₁₃	—	8	2	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	4	4	no	—
671	C₂×C₄×C₁₃	—	4	4	no	—
672	C₂×C₄×C₁₃	—	4	4	no	—
673	C₂×C₄×C₁₃	—	4	4	no	—
674	C₂×C₄×C₁₃	—	4	4	no	—
675	C₂×C₄×C₁₃	—	4	4	no	—
676	C₂×C₄×C₁₃	—	4	4	no	—
677	C₂×C₄×C₁₃	—	8	2	no	—
678	C₂×C₄×C₁₃	—	8	2	no	—
679	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
680	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
681	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
682	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
683	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
684	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
685	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
686	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
687	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
688	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
689	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
690	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
692	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
693	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
694	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
695	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
696	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
697	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
698	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
699	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	#401	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
704	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
705	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
706	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
707	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	#399	C₂²×C₁₃	1	1	yes	characteristic
709	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#397	C₂²×C₁₃	1	1	yes	characteristic
714	#397	C₂²×C₁₃	1	1	yes	characteristic
715	#397	C₂²×C₁₃	1	1	yes	characteristic
716	#397	C₂²×C₁₃	1	1	yes	characteristic
717	#397	C₂²×C₁₃	1	1	yes	characteristic
718	#397	C₂²×C₁₃	1	1	yes	characteristic
719	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
720	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	#396	C₂²×C₁₃	1	1	yes	characteristic
722	#396	C₂²×C₁₃	1	1	yes	characteristic
723	#396	C₂²×C₁₃	1	1	yes	characteristic
724	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	#394	C₂²×C₁₃	1	1	yes	characteristic
726	#394	C₂²×C₁₃	1	1	yes	characteristic
727	#394	C₂²×C₁₃	1	1	yes	characteristic
728	#394	C₂²×C₁₃	1	1	yes	characteristic
729	#393	C₂²×C₁₃	1	1	yes	characteristic
730	#393	C₂²×C₁₃	1	1	yes	characteristic
731	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
732	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	#390	C₂²×C₁₃	1	1	yes	characteristic
734	#390	C₂²×C₁₃	1	1	yes	characteristic
735	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#388	C₂²×C₁₃	1	1	yes	characteristic
739	#388	C₂²×C₁₃	1	1	yes	characteristic
740	#388	C₂²×C₁₃	1	1	yes	characteristic
741	#388	C₂²×C₁₃	1	1	yes	characteristic
742	#388	C₂²×C₁₃	1	1	yes	characteristic
743	#388	C₂²×C₁₃	1	1	yes	characteristic
744	#388	C₂²×C₁₃	1	1	yes	characteristic
745	#388	C₂²×C₁₃	1	1	yes	characteristic
746	#388	C₂²×C₁₃	1	1	yes	characteristic
747	#388	C₂²×C₁₃	1	1	yes	characteristic
748	#388	C₂²×C₁₃	1	1	yes	characteristic
749	#388	C₂²×C₁₃	1	1	yes	characteristic
750	#388	C₂²×C₁₃	1	1	yes	characteristic
751	#388	C₂²×C₁₃	1	1	yes	characteristic
752	#388	C₂²×C₁₃	1	1	yes	characteristic
753	#388	C₂²×C₁₃	1	1	yes	characteristic
754	#388	C₂²×C₁₃	1	1	yes	characteristic
755	#388	C₂²×C₁₃	1	1	yes	characteristic
756	#388	C₂²×C₁₃	1	1	yes	characteristic
757	#388	C₂²×C₁₃	1	1	yes	characteristic
758	#388	C₂²×C₁₃	1	1	yes	characteristic
759	#388	C₂²×C₁₃	1	1	yes	characteristic
760	#388	C₂²×C₁₃	1	1	yes	characteristic
761	#388	C₂²×C₁₃	1	1	yes	characteristic
762	#388	C₂²×C₁₃	1	1	yes	characteristic
763	#388	C₂²×C₁₃	1	1	yes	characteristic
764	#388	C₂²×C₁₃	1	1	yes	characteristic
765	#388	C₂²×C₁₃	1	1	yes	characteristic
766	#388	C₂²×C₁₃	1	1	yes	characteristic
767	#388	C₂²×C₁₃	1	1	yes	characteristic
768	#388	C₂²×C₁₃	1	1	yes	characteristic
769	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
770	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
771	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
773	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
774	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
776	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
777	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
790	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	#386	C₂²×C₁₃	1	1	yes	characteristic
795	#386	C₂²×C₁₃	1	1	yes	characteristic
796	#386	C₂²×C₁₃	1	1	yes	characteristic
797	#386	C₂²×C₁₃	1	1	yes	characteristic
798	#386	C₂²×C₁₃	1	1	yes	characteristic
799	#386	C₂²×C₁₃	1	1	yes	characteristic
800	#386	C₂²×C₁₃	1	1	yes	characteristic
801	#385	C₂²×C₁₃	1	1	yes	characteristic
802	#385	C₂²×C₁₃	1	1	yes	characteristic
803	#385	C₂²×C₁₃	1	1	yes	characteristic
804	#385	C₂²×C₁₃	1	1	yes	characteristic
805	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
806	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
807	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
808	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
809	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
810	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
811	#381	C₂²×C₁₃	1	1	yes	characteristic
812	#381	C₂²×C₁₃	1	1	yes	characteristic
813	#381	C₂²×C₁₃	1	1	yes	characteristic
814	#381	C₂²×C₁₃	1	1	yes	characteristic, complemented
815	#380	C₂²×C₁₃	1	1	yes	characteristic
816	#380	C₂²×C₁₃	1	1	yes	characteristic
817	#380	C₂²×C₁₃	1	1	yes	characteristic
818	#380	C₂²×C₁₃	1	1	yes	characteristic
819	#380	C₂²×C₁₃	1	1	yes	characteristic
820	#379	C₂²×C₁₃	1	1	yes	characteristic
821	#379	C₂²×C₁₃	1	1	yes	characteristic
822	#379	C₂²×C₁₃	1	1	yes	characteristic
823	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
824	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
825	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
826	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
827	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
828	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
829	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
830	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
831	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
832	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
833	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
834	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
837	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
838	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
839	C₄³	C₂²×C₁₃	1	1	yes	characteristic, complemented
840	C₂²×C₁₃	—	2	2	no	—
841	C₂²×C₁₃	—	2	2	no	—
842	C₂²×C₁₃	—	2	2	no	—
843	C₂²×C₁₃	—	2	2	no	—
844	C₂²×C₁₃	—	2	2	no	—
845	C₂²×C₁₃	—	2	2	no	—
846	C₂²×C₁₃	—	2	2	no	—
847	C₂²×C₁₃	—	2	2	no	—
848	C₂²×C₁₃	—	2	2	no	—
849	C₂²×C₁₃	—	4	1	no	—
850	C₂²×C₁₃	—	4	1	no	—
851	C₂²×C₁₃	—	4	1	no	—
852	C₂²×C₁₃	—	4	1	no	—
853	C₂²×C₁₃	—	4	1	no	—
854	C₂²×C₁₃	—	4	1	no	—
855	C₂²×C₁₃	—	4	1	no	—
856	C₂²×C₁₃	—	4	1	no	—
857	C₂²×C₁₃	—	4	1	no	—
858	C₂²×C₁₃	—	4	1	no	—
859	C₂²×C₁₃	—	4	1	no	—
860	C₂²×C₁₃	—	4	1	no	—
861	C₂²×C₁₃	—	4	1	no	—
862	C₂²×C₁₃	—	4	1	no	—
863	C₂²×C₁₃	—	4	1	no	—
864	C₂²×C₁₃	—	4	1	no	—
865	C₂²×C₁₃	—	4	1	no	—
866	C₂²×C₁₃	—	4	1	no	—
867	C₂²×C₁₃	—	8	8	no	—
868	C₂²×C₁₃	#529	1	4	yes	—
869	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
870	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
871	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
872	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
873	C₂²×C₁₃	#585	1	1	yes	characteristic
874	C₂²×C₁₃	#585	1	1	yes	characteristic
875	C₂²×C₁₃	#585	1	1	yes	characteristic
876	C₄×C₁₃	—	2	2	no	—
877	C₄×C₁₃	—	2	2	no	—
878	C₄×C₁₃	—	2	2	no	—
879	C₄×C₁₃	—	2	2	no	—
880	C₄×C₁₃	—	2	2	no	—
881	C₄×C₁₃	—	2	2	no	—
882	C₄×C₁₃	—	4	1	no	—
883	C₄×C₁₃	—	4	1	no	—
884	C₄×C₁₃	—	4	1	no	—
885	C₄×C₁₃	—	4	1	no	—
886	C₄×C₁₃	—	4	1	no	—
887	C₄×C₁₃	—	4	1	no	—
888	C₄×C₁₃	—	4	1	no	—
889	C₄×C₁₃	—	4	1	no	—
890	C₄×C₁₃	—	4	1	no	—
891	C₄×C₁₃	—	4	1	no	—
892	C₄×C₁₃	—	4	1	no	—
893	C₄×C₁₃	—	4	1	no	—
894	C₄×C₁₃	—	4	1	no	—
895	C₄×C₁₃	—	4	1	no	—
896	C₄×C₁₃	—	4	1	no	—
897	C₄×C₁₃	—	4	1	no	—
898	C₄×C₁₃	—	4	1	no	—
899	C₄×C₁₃	—	4	1	no	—
900	C₄×C₁₃	—	4	1	no	—
901	C₄×C₁₃	—	4	1	no	—
902	C₄×C₁₃	—	4	1	no	—
903	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
904	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
905	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
906	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
907	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
908	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
911	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
912	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
913	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
914	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
915	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
916	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
917	#126	—	4	2	no	—
918	#123	—	2	4	no	—
919	#123	—	4	2	no	—
920	C₂²⋊Q₈	—	2	4	no	—
921	#120	—	2	4	no	—
922	C₄×Q₈	—	4	2	no	—
923	C₄×D₄	—	2	4	no	—
924	C₄×D₄	—	2	4	no	—
925	C₄×D₄	—	2	4	no	—
926	C₂×C₄⋊C₄	—	2	4	no	—
927	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
928	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
929	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
932	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
933	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
935	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
939	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
940	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
946	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	—	2	4	no	—
958	C₂×C₂²⋊C₄	—	2	4	no	—
959	C₂×C₂²⋊C₄	—	4	2	no	—
960	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
971	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
972	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
976	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
978	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
979	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
980	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1002	C₂×C₄²	—	4	2	no	—
1003	C₂×C₄²	—	4	2	no	—
1004	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1017	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1021	#95	C₂³×C₁₃	1	1	yes	characteristic
1022	#95	C₂³×C₁₃	1	1	yes	characteristic
1023	#95	C₂³×C₁₃	1	1	yes	characteristic
1024	#95	C₂³×C₁₃	1	1	yes	characteristic
1025	#95	C₂³×C₁₃	1	1	yes	characteristic
1026	#95	C₂³×C₁₃	1	1	yes	characteristic
1027	#95	C₂³×C₁₃	1	1	yes	characteristic
1028	#95	C₂³×C₁₃	1	1	yes	characteristic
1029	#95	C₂³×C₁₃	1	1	yes	characteristic
1030	#95	C₂³×C₁₃	1	1	yes	characteristic
1031	#95	C₂³×C₁₃	1	1	yes	characteristic
1032	#95	C₂³×C₁₃	1	1	yes	characteristic
1033	#95	C₂³×C₁₃	1	1	yes	characteristic
1034	#95	C₂³×C₁₃	1	1	yes	characteristic
1035	#95	C₂³×C₁₃	1	1	yes	characteristic
1036	#95	C₂³×C₁₃	1	1	yes	characteristic
1037	#95	C₂³×C₁₃	1	1	yes	characteristic
1038	#95	C₂³×C₁₃	1	1	yes	characteristic
1039	#95	C₂³×C₁₃	1	1	yes	characteristic
1040	#95	C₂³×C₁₃	1	1	yes	characteristic
1041	#95	C₂³×C₁₃	1	1	yes	characteristic
1042	#95	C₂³×C₁₃	1	1	yes	characteristic
1043	#95	C₂³×C₁₃	1	1	yes	characteristic
1044	#95	C₂³×C₁₃	1	1	yes	characteristic
1045	#95	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	C₂×C₁₃	—	2	4	no	—
1074	C₂×C₁₃	—	4	2	no	—
1075	C₂×C₁₃	—	8	1	no	—
1076	C₂×C₁₃	—	8	1	no	—
1077	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1078	C₂×C₁₃	#3455	1	1	yes	characteristic
1079	C₂×C₁₃	#3459	1	1	yes	characteristic
1080	C₂×C₁₃	#3505	1	1	yes	characteristic
1081	C₂×C₁₃	#3510	1	1	yes	characteristic
1082	C₂×C₁₃	#3513	1	1	yes	characteristic
1083	C₂×C₁₃	#3521	1	1	yes	characteristic
1084	C₂⁴	—	2	2	no	—
1085	C₂⁴	—	2	2	no	—
1086	C₂⁴	—	2	2	no	—
1087	C₂⁴	—	4	1	no	—
1088	C₂⁴	—	4	1	no	—
1089	C₂⁴	—	4	1	no	—
1090	C₂⁴	—	4	1	no	—
1091	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1093	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1094	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1095	C₂×Q₈	—	2	2	no	—
1096	C₂×Q₈	—	4	1	no	—
1097	C₂×Q₈	—	4	1	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	2	2	no	—
1100	C₂×D₄	—	2	2	no	—
1101	C₂×D₄	—	2	2	no	—
1102	C₂×D₄	—	4	1	no	—
1103	C₂×D₄	—	4	1	no	—
1104	C₂×D₄	—	4	1	no	—
1105	C₂×D₄	—	4	1	no	—
1106	C₂×D₄	C₁₃×#41	1	4	yes	—
1107	C₂²×C₄	—	2	2	no	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	2	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	4	1	no	—
1119	C₂²×C₄	—	4	1	no	—
1120	C₂²×C₄	—	4	1	no	—
1121	C₂²×C₄	—	4	1	no	—
1122	C₂²×C₄	—	4	1	no	—
1123	C₂²×C₄	—	4	1	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	1	no	—
1128	C₂²×C₄	—	4	1	no	—
1129	C₂²×C₄	—	4	1	no	—
1130	C₂²×C₄	—	4	1	no	—
1131	C₂²×C₄	—	4	1	no	—
1132	C₂²×C₄	C₁₃×#41	1	4	yes	—
1133	C₂²×C₄	C₁₃×#41	1	4	yes	—
1134	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1141	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1142	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1143	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1144	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1148	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1156	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	2	2	no	—
1165	C₄⋊C₄	—	2	2	no	—
1166	C₄⋊C₄	—	2	2	no	—
1167	C₄⋊C₄	—	2	2	no	—
1168	C₄⋊C₄	—	2	2	no	—
1169	C₄⋊C₄	—	2	2	no	—
1170	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	2	2	no	—
1172	C₄⋊C₄	—	2	2	no	—
1173	C₄⋊C₄	—	2	2	no	—
1174	C₄⋊C₄	—	2	2	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	4	1	no	—
1185	C₄⋊C₄	—	4	1	no	—
1186	C₄⋊C₄	—	4	1	no	—
1187	C₄⋊C₄	—	4	1	no	—
1188	C₄⋊C₄	—	4	1	no	—
1189	C₄⋊C₄	—	4	1	no	—
1190	C₄⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	2	2	no	—
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	2	2	no	—
1197	C₂²⋊C₄	—	2	2	no	—
1198	C₂²⋊C₄	—	2	2	no	—
1199	C₂²⋊C₄	—	2	2	no	—
1200	C₂²⋊C₄	—	2	2	no	—
1201	C₂²⋊C₄	—	2	2	no	—
1202	C₂²⋊C₄	—	2	2	no	—
1203	C₂²⋊C₄	—	2	2	no	—
1204	C₂²⋊C₄	—	2	2	no	—
1205	C₂²⋊C₄	—	2	2	no	—
1206	C₂²⋊C₄	—	2	2	no	—
1207	C₂²⋊C₄	—	2	2	no	—
1208	C₂²⋊C₄	—	2	2	no	—
1209	C₂²⋊C₄	—	2	2	no	—
1210	C₂²⋊C₄	—	2	2	no	—
1211	C₂²⋊C₄	—	2	2	no	—
1212	C₂²⋊C₄	—	2	2	no	—
1213	C₂²⋊C₄	—	2	2	no	—
1214	C₂²⋊C₄	—	2	2	no	—
1215	C₂²⋊C₄	—	4	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	1	no	—
1229	C₂²⋊C₄	—	4	1	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	4	1	no	—
1232	C₂²⋊C₄	—	4	1	no	—
1233	C₄²	—	2	2	no	—
1234	C₄²	—	2	2	no	—
1235	C₄²	—	2	2	no	—
1236	C₄²	—	2	2	no	—
1237	C₄²	—	2	2	no	—
1238	C₄²	—	2	2	no	—
1239	C₄²	—	4	1	no	—
1240	C₄²	—	4	1	no	—
1241	C₄²	—	4	1	no	—
1242	C₄²	—	4	1	no	—
1243	C₄²	—	4	1	no	—
1244	C₄²	—	4	1	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	4	1	no	—
1247	C₄²	—	4	1	no	—
1248	C₄²	—	4	1	no	—
1249	C₄²	—	4	1	no	—
1250	C₁₃	#35027	1	1	yes	characteristic, direct product factor, Sylow
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	1	no	—
1269	C₂³	—	2	1	no	—
1270	C₂³	—	2	1	no	—
1271	C₂³	—	2	1	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	4	4	no	—
1276	C₂³	—	4	4	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	8	2	no	—
1279	C₂³	—	8	2	no	—
1280	C₂³	—	8	2	no	—
1281	C₂³	—	8	2	no	—
1282	C₂³	C₂×C₁₃×#41	1	2	yes	—
1283	C₂³	C₂×C₁₃×#41	1	2	yes	—
1284	C₂³	C₂×C₁₃×#41	1	2	yes	—
1285	C₂³	C₂×C₁₃×#41	1	2	yes	—
1286	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1287	Q₈	—	4	4	no	—
1288	D₄	—	2	8	no	—
1289	D₄	—	8	2	no	—
1290	D₄	—	8	2	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	4	4	no	—
1367	C₂×C₄	—	4	4	no	—
1368	C₂×C₄	—	4	4	no	—
1369	C₂×C₄	—	4	4	no	—
1370	C₂×C₄	—	4	4	no	—
1371	C₂×C₄	—	4	4	no	—
1372	C₂×C₄	—	4	4	no	—
1373	C₂×C₄	—	8	2	no	—
1374	C₂×C₄	—	8	2	no	—
1375	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1376	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1377	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1378	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1379	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1380	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	1	no	—
1403	C₂²	—	4	1	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	1	no	—
1407	C₂²	—	4	1	no	—
1408	C₂²	—	8	8	no	—
1409	C₂²	C₁₃×#529	1	4	yes	—
1410	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1411	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1412	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1413	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1414	C₂²	C₁₃×#585	1	1	yes	characteristic
1415	C₂²	C₁₃×#585	1	1	yes	characteristic
1416	C₂²	C₁₃×#585	1	1	yes	characteristic
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	1	no	—
1433	C₄	—	4	1	no	—
1434	C₄	—	4	1	no	—
1435	C₄	—	4	1	no	—
1436	C₄	—	4	1	no	—
1437	C₄	—	4	1	no	—
1438	C₄	—	4	1	no	—
1439	C₄	—	4	1	no	—
1440	C₄	—	4	1	no	—
1441	C₄	—	4	1	no	—
1442	C₄	—	4	1	no	—
1443	C₄	—	4	1	no	—
1444	C₂	—	2	4	no	—
1445	C₂	—	4	2	no	—
1446	C₂	—	8	1	no	—
1447	C₂	—	8	1	no	—
1448	C₂	C₂×C₁₃×#529	1	1	yes	characteristic
1449	C₂	C₁₃×#3455	1	1	yes	characteristic
1450	C₂	C₁₃×#3459	1	1	yes	characteristic
1451	C₂	C₁₃×#3505	1	1	yes	characteristic
1452	C₂	C₁₃×#3510	1	1	yes	characteristic
1453	C₂	C₁₃×#3513	1	1	yes	characteristic
1454	C₂	C₁₃×#3521	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×#2866	C₂	semidirect
2. C₁₃×#2865	C₂	semidirect
3. C₁₃×#2853	C₂	semidirect
4. C₁₃×#2852	C₂	semidirect
5. C₁₃×#2654	C₂	semidirect
6. C₁₃×#2653	C₂	semidirect
7. C₁₃×#2650	C₂	semidirect
8. C₁₃×#2649	C₂	semidirect
9. C₁₃×#2597	C₂	semidirect
10. C₁₃×#2596	C₂	semidirect
11. C₁₃×#2595	C₂	semidirect
12. C₁₃×#2594	C₂	semidirect
13. C₁₃×#2569	C₂	semidirect
14. C₁₃×#2564	C₂	semidirect
15. C₁₃×#2561	C₂	semidirect
17. C₁₃×#2525	C₂	semidirect
18. C₁₃×#2516	C₂	semidirect
19. C₁₃×#2493	C₂	semidirect
20. C₁₃×#2480	C₂	semidirect
21. C₁₃×#2469	C₂	semidirect
22. C₁₃×#2458	C₂	semidirect
23. C₁₃×#2419	C₂	semidirect
25. C₁₃×#2322	C₂	semidirect
27. C₁₃×#2313	C₂	semidirect
28. C₁₃×#2312	C₂	semidirect
29. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
30. C₂×C₁₃×#388	C₂	semidirect
31. C₄²×D₄×C₁₃	C₂	semidirect
37. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
46. C₂²×C₄²×C₁₃	C₂²	semidirect
47. C₁₃×#401	C₂²	semidirect
48. C₁₃×#400	C₂²	semidirect
49. C₁₃×#400	C₂²	semidirect
50. C₁₃×#400	C₂²	semidirect
51. C₁₃×#400	C₂²	semidirect
52. C₁₃×#400	C₂²	semidirect
53. C₁₃×#400	C₂²	semidirect
54. C₁₃×#400	C₂²	semidirect
56. C₁₃×#399	C₂²	semidirect
57. C₁₃×#398	C₂²	semidirect
58. C₁₃×#398	C₂²	semidirect
59. C₁₃×#398	C₂²	semidirect
66. C₁₃×#397	C₂²	semidirect
67. C₁₃×#397	C₂²	semidirect
71. C₁₃×#395	C₂²	semidirect
78. C₁₃×#393	C₂²	semidirect
79. C₁₃×#391	C₂²	semidirect
82. C₁₃×#389	C₂²	semidirect
83. C₁₃×#389	C₂²	semidirect
84. C₁₃×#389	C₂²	semidirect
116. C₁₃×#388	C₂²	semidirect
117. C₁₃×#388	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
131. C₁₃×#387	C₂²	semidirect
132. C₁₃×#387	C₂²	semidirect
133. C₁₃×#387	C₂²	semidirect
134. C₁₃×#387	C₂²	semidirect
135. C₁₃×#387	C₂²	semidirect
136. C₁₃×#387	C₂²	semidirect
137. C₁₃×#387	C₂²	semidirect
138. C₁₃×#387	C₂²	semidirect
139. C₁₃×#387	C₂²	semidirect
140. C₁₃×#387	C₂²	semidirect
152. C₁₃×#385	C₂²	semidirect
153. C₁₃×#385	C₂²	semidirect
154. C₁₃×#385	C₂²	semidirect
155. C₁₃×#385	C₂²	semidirect
156. C₁₃×#385	C₂²	semidirect
157. C₁₃×#383	C₂²	semidirect
161. C₁₃×#381	C₂²	semidirect
170. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
171. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
172. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
173. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
174. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
175. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
181. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
182. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
186. C₄³×C₁₃	C₂²	semidirect
357. #35027	C₁₃	direct (N × H)
524. #2866	C₂×C₁₃	semidirect
525. #2865	C₂×C₁₃	semidirect
526. #2853	C₂×C₁₃	semidirect
527. #2852	C₂×C₁₃	semidirect
528. #2654	C₂×C₁₃	semidirect
529. #2653	C₂×C₁₃	semidirect
530. #2650	C₂×C₁₃	semidirect
531. #2649	C₂×C₁₃	semidirect
532. #2597	C₂×C₁₃	semidirect
533. #2596	C₂×C₁₃	semidirect
534. #2595	C₂×C₁₃	semidirect
535. #2594	C₂×C₁₃	semidirect
536. #2569	C₂×C₁₃	semidirect
537. #2564	C₂×C₁₃	semidirect
538. #2561	C₂×C₁₃	semidirect
540. #2525	C₂×C₁₃	semidirect
541. #2516	C₂×C₁₃	semidirect
542. #2493	C₂×C₁₃	semidirect
543. #2480	C₂×C₁₃	semidirect
544. #2469	C₂×C₁₃	semidirect
545. #2458	C₂×C₁₃	semidirect
546. #2419	C₂×C₁₃	semidirect
548. #2322	C₂×C₁₃	semidirect
550. #2313	C₂×C₁₃	semidirect
551. #2312	C₂×C₁₃	semidirect
552. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
553. C₂×#388	C₂×C₁₃	semidirect
554. C₄²×D₄	C₂×C₁₃	semidirect
690. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
699. C₂²×C₄²	C₂²×C₁₃	semidirect
700. #401	C₂²×C₁₃	semidirect
701. #400	C₂²×C₁₃	semidirect
702. #400	C₂²×C₁₃	semidirect
703. #400	C₂²×C₁₃	semidirect
704. #400	C₂²×C₁₃	semidirect
705. #400	C₂²×C₁₃	semidirect
706. #400	C₂²×C₁₃	semidirect
707. #400	C₂²×C₁₃	semidirect
709. #399	C₂²×C₁₃	semidirect
710. #398	C₂²×C₁₃	semidirect
711. #398	C₂²×C₁₃	semidirect
712. #398	C₂²×C₁₃	semidirect
719. #397	C₂²×C₁₃	semidirect
720. #397	C₂²×C₁₃	semidirect
724. #395	C₂²×C₁₃	semidirect
731. #393	C₂²×C₁₃	semidirect
732. #391	C₂²×C₁₃	semidirect
735. #389	C₂²×C₁₃	semidirect
736. #389	C₂²×C₁₃	semidirect
737. #389	C₂²×C₁₃	semidirect
769. #388	C₂²×C₁₃	semidirect
770. #388	C₂²×C₁₃	semidirect
771. #387	C₂²×C₁₃	semidirect
772. #387	C₂²×C₁₃	semidirect
773. #387	C₂²×C₁₃	semidirect
774. #387	C₂²×C₁₃	semidirect
775. #387	C₂²×C₁₃	semidirect
776. #387	C₂²×C₁₃	semidirect
777. #387	C₂²×C₁₃	semidirect
778. #387	C₂²×C₁₃	semidirect
779. #387	C₂²×C₁₃	semidirect
780. #387	C₂²×C₁₃	semidirect
781. #387	C₂²×C₁₃	semidirect
782. #387	C₂²×C₁₃	semidirect
783. #387	C₂²×C₁₃	semidirect
784. #387	C₂²×C₁₃	semidirect
785. #387	C₂²×C₁₃	semidirect
786. #387	C₂²×C₁₃	semidirect
787. #387	C₂²×C₁₃	semidirect
788. #387	C₂²×C₁₃	semidirect
789. #387	C₂²×C₁₃	semidirect
790. #387	C₂²×C₁₃	semidirect
791. #387	C₂²×C₁₃	semidirect
792. #387	C₂²×C₁₃	semidirect
793. #387	C₂²×C₁₃	semidirect
805. #385	C₂²×C₁₃	semidirect
806. #385	C₂²×C₁₃	semidirect
807. #385	C₂²×C₁₃	semidirect
808. #385	C₂²×C₁₃	semidirect
809. #385	C₂²×C₁₃	semidirect
810. #383	C₂²×C₁₃	semidirect
814. #381	C₂²×C₁₃	semidirect
823. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
824. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
825. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
826. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
827. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
828. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
834. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
835. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
836. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
839. C₄³	C₂²×C₁₃	semidirect
1250. C₁₃	#35027	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×#2866	2
C₁₃×#2865	2
C₁₃×#2853	2
C₁₃×#2852	2
C₁₃×#2654	2
C₁₃×#2653	2
C₁₃×#2650	2
C₁₃×#2649	2
C₁₃×#2597	2
C₁₃×#2596	2
C₁₃×#2595	2
C₁₃×#2594	2
C₁₃×#2569	2
C₁₃×#2564	2
C₁₃×#2561	2
C₁₃×#2534	2
C₁₃×#2525	2
C₁₃×#2516	2
C₁₃×#2493	2
C₁₃×#2480	2
C₁₃×#2469	2
C₁₃×#2458	2
C₁₃×#2419	2
C₁₃×#2418	2
C₁₃×#2322	2
C₁₃×#2321	2
C₁₃×#2313	2
C₁₃×#2312	2
C₄×C₁₃×C₂²⋊Q₈	2
C₂×C₁₃×#388	2
C₄²×D₄×C₁₃	2
#35027	13

Subgroups — C13×#35027 #15721366

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#35027 #15721366