Subgroups — C₁₃×#34840 #15721179

Order 3328.

1944 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2590	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2589	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2588	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2587	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2586	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2585	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2583	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2579	C₂	1	1	yes	maximal, characteristic
9	C₁₃×#2574	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2564	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#2556	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2549	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2505	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2473	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2450	C₂	1	1	yes	maximal, characteristic
16	C₁₃×#2449	C₂	1	1	yes	maximal, characteristic
17	C₁₃×#2402	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2399	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2296	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2295	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic
29	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic
30	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic
31	C₂×C₄×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
48	C₂²×C₄²×C₁₃	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×#400	C₂²	1	1	yes	characteristic
52	C₁₃×#400	C₂²	1	1	yes	characteristic
53	C₁₃×#400	C₂²	1	1	yes	characteristic
54	C₁₃×#400	C₂²	1	1	yes	characteristic
55	C₁₃×#400	C₂²	1	1	yes	characteristic
56	C₁₃×#400	C₂²	1	1	yes	characteristic
57	C₁₃×#399	C₂²	1	1	yes	characteristic
58	C₁₃×#399	C₂²	1	1	yes	characteristic
59	C₁₃×#398	C₂²	1	1	yes	characteristic
60	C₁₃×#398	C₂²	1	1	yes	characteristic
61	C₁₃×#398	C₂²	1	1	yes	characteristic
62	C₁₃×#398	C₂²	1	1	yes	characteristic
63	C₁₃×#398	C₂²	1	1	yes	characteristic
64	C₁₃×#398	C₂²	1	1	yes	characteristic
65	C₁₃×#398	C₂²	1	1	yes	characteristic
66	C₁₃×#398	C₂²	1	1	yes	characteristic
67	C₁₃×#398	C₂²	1	1	yes	characteristic
68	C₁₃×#398	C₂²	1	1	yes	characteristic
69	C₁₃×#398	C₂²	1	1	yes	characteristic
70	C₁₃×#398	C₂²	1	1	yes	characteristic
71	C₁₃×#396	C₂²	1	1	yes	characteristic
72	C₁₃×#396	C₂²	1	1	yes	characteristic
73	C₁₃×#396	C₂²	1	1	yes	characteristic
74	C₁₃×#396	C₂²	1	1	yes	characteristic
75	C₁₃×#395	C₂²	1	1	yes	characteristic
76	C₁₃×#395	C₂²	1	1	yes	characteristic
77	C₁₃×#395	C₂²	1	1	yes	characteristic
78	C₁₃×#395	C₂²	1	1	yes	characteristic
79	C₁₃×#395	C₂²	1	1	yes	characteristic
80	C₁₃×#395	C₂²	1	1	yes	characteristic
81	C₁₃×#393	C₂²	1	1	yes	characteristic
82	C₁₃×#393	C₂²	1	1	yes	characteristic
83	C₁₃×#391	C₂²	1	1	yes	characteristic
84	C₁₃×#391	C₂²	1	1	yes	characteristic
85	C₁₃×#391	C₂²	1	1	yes	characteristic
86	C₁₃×#391	C₂²	1	1	yes	characteristic
87	C₁₃×#391	C₂²	1	1	yes	characteristic
88	C₁₃×#391	C₂²	1	1	yes	characteristic
89	C₁₃×#389	C₂²	1	1	yes	characteristic
90	C₁₃×#389	C₂²	1	1	yes	characteristic
91	C₁₃×#389	C₂²	1	1	yes	characteristic
92	C₁₃×#389	C₂²	1	1	yes	characteristic
93	C₁₃×#389	C₂²	1	1	yes	characteristic
94	C₁₃×#389	C₂²	1	1	yes	characteristic
95	C₁₃×#389	C₂²	1	1	yes	characteristic
96	C₁₃×#389	C₂²	1	1	yes	characteristic
97	C₁₃×#389	C₂²	1	1	yes	characteristic
98	C₁₃×#389	C₂²	1	1	yes	characteristic
99	C₁₃×#389	C₂²	1	1	yes	characteristic
100	C₁₃×#389	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×#387	C₂²	1	1	yes	characteristic
106	C₁₃×#387	C₂²	1	1	yes	characteristic
107	C₁₃×#387	C₂²	1	1	yes	characteristic
108	C₁₃×#387	C₂²	1	1	yes	characteristic
109	C₁₃×#387	C₂²	1	1	yes	characteristic
110	C₁₃×#387	C₂²	1	1	yes	characteristic
111	C₁₃×#387	C₂²	1	1	yes	characteristic
112	C₁₃×#387	C₂²	1	1	yes	characteristic
113	C₁₃×#387	C₂²	1	1	yes	characteristic
114	C₁₃×#387	C₂²	1	1	yes	characteristic
115	C₁₃×#387	C₂²	1	1	yes	characteristic
116	C₁₃×#387	C₂²	1	1	yes	characteristic
117	C₁₃×#387	C₂²	1	1	yes	characteristic
118	C₁₃×#387	C₂²	1	1	yes	characteristic
119	C₁₃×#387	C₂²	1	1	yes	characteristic
120	C₁₃×#387	C₂²	1	1	yes	characteristic
121	C₁₃×#387	C₂²	1	1	yes	characteristic
122	C₁₃×#387	C₂²	1	1	yes	characteristic
123	C₁₃×#387	C₂²	1	1	yes	characteristic
124	C₁₃×#387	C₂²	1	1	yes	characteristic
125	C₁₃×#386	C₂²	1	1	yes	characteristic
126	C₁₃×#386	C₂²	1	1	yes	characteristic
127	C₁₃×#386	C₂²	1	1	yes	characteristic
128	C₁₃×#386	C₂²	1	1	yes	characteristic
129	C₁₃×#385	C₂²	1	1	yes	characteristic
130	C₁₃×#385	C₂²	1	1	yes	characteristic
131	C₁₃×#385	C₂²	1	1	yes	characteristic
132	C₁₃×#385	C₂²	1	1	yes	characteristic
133	C₁₃×#385	C₂²	1	1	yes	characteristic
134	C₁₃×#385	C₂²	1	1	yes	characteristic
135	C₁₃×#385	C₂²	1	1	yes	characteristic
136	C₁₃×#385	C₂²	1	1	yes	characteristic
137	C₁₃×#385	C₂²	1	1	yes	characteristic
138	C₁₃×#385	C₂²	1	1	yes	characteristic
139	C₁₃×#385	C₂²	1	1	yes	characteristic
140	C₁₃×#385	C₂²	1	1	yes	characteristic
141	C₁₃×#385	C₂²	1	1	yes	characteristic
142	C₁₃×#385	C₂²	1	1	yes	characteristic
143	C₁₃×#385	C₂²	1	1	yes	characteristic
144	C₁₃×#385	C₂²	1	1	yes	characteristic
145	C₁₃×#382	C₂²	1	1	yes	characteristic
146	C₁₃×#380	C₂²	1	1	yes	characteristic
147	C₁₃×#380	C₂²	1	1	yes	characteristic
148	C₁₃×#380	C₂²	1	1	yes	characteristic
149	C₁₃×#380	C₂²	1	1	yes	characteristic
150	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×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	C₁₃×#376	C₂²	1	1	yes	characteristic
183	C₁₃×#376	C₂²	1	1	yes	characteristic
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
187	C₂²×Q₈×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×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	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×#125	—	2	4	no	—
202	C₁₃×C₂²⋊Q₈	—	2	4	no	—
203	C₁₃×C₂²⋊Q₈	—	2	4	no	—
204	C₁₃×C₂²⋊Q₈	—	2	4	no	—
205	C₁₃×C₂²⋊Q₈	—	2	4	no	—
206	C₄×Q₈×C₁₃	—	2	4	no	—
207	C₄×Q₈×C₁₃	—	4	2	no	—
208	C₄×Q₈×C₁₃	—	4	2	no	—
209	C₄×D₄×C₁₃	—	2	4	no	—
210	C₄×D₄×C₁₃	—	2	4	no	—
211	C₄×D₄×C₁₃	Q₈	1	8	yes	complemented
212	C₁₃×#117	—	2	4	no	—
213	C₁₃×#117	—	4	2	no	—
214	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
215	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×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×C₄²×C₁₃	—	2	4	no	—
281	C₂×C₄²×C₁₃	—	4	2	no	—
282	C₂×C₄²×C₁₃	—	4	2	no	—
283	C₂×C₄²×C₁₃	—	4	2	no	—
284	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
298	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	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	C₁₃×#95	C₂³	1	1	yes	characteristic
349	C₁₃×#95	C₂³	1	1	yes	characteristic
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	C₁₃×#95	C₂³	1	1	yes	characteristic
358	C₁₃×#95	C₂³	1	1	yes	characteristic
359	C₁₃×#95	C₂³	1	1	yes	characteristic
360	C₁₃×#95	C₂³	1	1	yes	characteristic
361	#34840	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
362	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×Q₈×C₁₃	—	2	2	no	—
365	C₂×Q₈×C₁₃	—	2	2	no	—
366	C₂×Q₈×C₁₃	—	2	2	no	—
367	C₂×Q₈×C₁₃	—	2	2	no	—
368	C₂×Q₈×C₁₃	—	2	2	no	—
369	C₂×Q₈×C₁₃	—	4	1	no	—
370	C₂×Q₈×C₁₃	—	4	1	no	—
371	C₂×Q₈×C₁₃	—	4	1	no	—
372	C₂×Q₈×C₁₃	—	4	1	no	—
373	C₂×D₄×C₁₃	—	2	2	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	C₂×Q₈	1	4	yes	—
376	C₂²×C₄×C₁₃	—	2	2	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
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	—	2	2	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	C₂×Q₈	1	4	yes	—
404	C₂²×C₄×C₁₃	C₂×Q₈	1	4	yes	—
405	C₂²×C₄×C₁₃	#41	1	4	yes	—
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
450	C₁₃×C₄⋊C₄	—	2	2	no	—
451	C₁₃×C₄⋊C₄	—	2	2	no	—
452	C₁₃×C₄⋊C₄	—	2	2	no	—
453	C₁₃×C₄⋊C₄	—	2	2	no	—
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	—	4	1	no	—
466	C₁₃×C₄⋊C₄	—	4	1	no	—
467	C₁₃×C₄⋊C₄	—	4	1	no	—
468	C₁₃×C₄⋊C₄	—	4	1	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	C₂×Q₈	1	4	yes	—
480	C₁₃×C₄⋊C₄	#41	1	4	yes	—
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	—	2	2	no	—
490	C₁₃×C₂²⋊C₄	—	2	2	no	—
491	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×Q₈	1	4	yes	—
497	C₁₃×C₂²⋊C₄	C₂×Q₈	1	4	yes	—
498	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
499	C₄²×C₁₃	—	2	2	no	—
500	C₄²×C₁₃	—	2	2	no	—
501	C₄²×C₁₃	—	2	2	no	—
502	C₄²×C₁₃	—	2	2	no	—
503	C₄²×C₁₃	—	2	2	no	—
504	C₄²×C₁₃	—	2	2	no	—
505	C₄²×C₁₃	—	2	2	no	—
506	C₄²×C₁₃	—	2	2	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	—	2	2	no	—
514	C₄²×C₁₃	—	2	2	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	C₂×Q₈	1	4	yes	—
523	C₄²×C₁₃	#41	1	4	yes	—
524	#2590	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2589	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#2588	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#2587	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#2586	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#2585	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#2583	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#2579	C₂×C₁₃	1	1	yes	characteristic
532	#2574	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#2564	C₂×C₁₃	1	1	yes	characteristic
534	#2556	C₂×C₁₃	1	1	yes	characteristic, complemented
535	#2549	C₂×C₁₃	1	1	yes	characteristic, complemented
536	#2505	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#2473	C₂×C₁₃	1	1	yes	characteristic, complemented
538	#2450	C₂×C₁₃	1	1	yes	characteristic
539	#2449	C₂×C₁₃	1	1	yes	characteristic
540	#2402	C₂×C₁₃	1	1	yes	characteristic, complemented
541	#2399	C₂×C₁₃	1	1	yes	characteristic, complemented
542	#2396	C₂×C₁₃	1	1	yes	characteristic, complemented
543	#2396	C₂×C₁₃	1	1	yes	characteristic, complemented
544	C₄×#125	C₂×C₁₃	1	1	yes	characteristic, complemented
545	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
546	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
547	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
548	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
549	#2296	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#2295	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#2290	C₂×C₁₃	1	1	yes	characteristic
552	#2290	C₂×C₁₃	1	1	yes	characteristic
553	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic
554	C₂×C₄×C₄⋊C₄	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	C₂²×Q₈	1	2	yes	—
566	C₂³×C₁₃	C₂²×Q₈	1	2	yes	—
567	C₂³×C₁₃	C₂×#41	1	2	yes	—
568	C₂³×C₁₃	C₂×#41	1	2	yes	—
569	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
570	Q₈×C₁₃	—	4	4	no	—
571	Q₈×C₁₃	—	4	4	no	—
572	Q₈×C₁₃	—	4	4	no	—
573	D₄×C₁₃	—	2	8	no	—
574	C₂×C₄×C₁₃	—	2	8	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	8	no	—
602	C₂×C₄×C₁₃	—	2	8	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	—	4	4	no	—
649	C₂×C₄×C₁₃	—	4	4	no	—
650	C₂×C₄×C₁₃	—	4	4	no	—
651	C₂×C₄×C₁₃	—	4	4	no	—
652	C₂×C₄×C₁₃	—	4	4	no	—
653	C₂×C₄×C₁₃	—	4	4	no	—
654	C₂×C₄×C₁₃	—	4	4	no	—
655	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
656	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
657	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
658	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
659	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
660	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
661	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
662	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
663	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
664	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
665	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
666	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
667	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
668	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
669	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
670	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
671	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
672	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
673	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
674	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
675	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
676	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
677	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
678	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
679	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
680	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
681	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
682	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
683	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
684	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
685	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
686	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
687	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
688	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
689	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
690	#400	C₂²×C₁₃	1	1	yes	characteristic
691	#400	C₂²×C₁₃	1	1	yes	characteristic
692	#400	C₂²×C₁₃	1	1	yes	characteristic
693	#400	C₂²×C₁₃	1	1	yes	characteristic
694	#400	C₂²×C₁₃	1	1	yes	characteristic
695	#400	C₂²×C₁₃	1	1	yes	characteristic
696	#399	C₂²×C₁₃	1	1	yes	characteristic
697	#399	C₂²×C₁₃	1	1	yes	characteristic
698	#398	C₂²×C₁₃	1	1	yes	characteristic
699	#398	C₂²×C₁₃	1	1	yes	characteristic
700	#398	C₂²×C₁₃	1	1	yes	characteristic
701	#398	C₂²×C₁₃	1	1	yes	characteristic
702	#398	C₂²×C₁₃	1	1	yes	characteristic
703	#398	C₂²×C₁₃	1	1	yes	characteristic
704	#398	C₂²×C₁₃	1	1	yes	characteristic
705	#398	C₂²×C₁₃	1	1	yes	characteristic
706	#398	C₂²×C₁₃	1	1	yes	characteristic
707	#398	C₂²×C₁₃	1	1	yes	characteristic
708	#398	C₂²×C₁₃	1	1	yes	characteristic
709	#398	C₂²×C₁₃	1	1	yes	characteristic
710	#396	C₂²×C₁₃	1	1	yes	characteristic
711	#396	C₂²×C₁₃	1	1	yes	characteristic
712	#396	C₂²×C₁₃	1	1	yes	characteristic
713	#396	C₂²×C₁₃	1	1	yes	characteristic
714	#395	C₂²×C₁₃	1	1	yes	characteristic
715	#395	C₂²×C₁₃	1	1	yes	characteristic
716	#395	C₂²×C₁₃	1	1	yes	characteristic
717	#395	C₂²×C₁₃	1	1	yes	characteristic
718	#395	C₂²×C₁₃	1	1	yes	characteristic
719	#395	C₂²×C₁₃	1	1	yes	characteristic
720	#393	C₂²×C₁₃	1	1	yes	characteristic
721	#393	C₂²×C₁₃	1	1	yes	characteristic
722	#391	C₂²×C₁₃	1	1	yes	characteristic
723	#391	C₂²×C₁₃	1	1	yes	characteristic
724	#391	C₂²×C₁₃	1	1	yes	characteristic
725	#391	C₂²×C₁₃	1	1	yes	characteristic
726	#391	C₂²×C₁₃	1	1	yes	characteristic
727	#391	C₂²×C₁₃	1	1	yes	characteristic
728	#389	C₂²×C₁₃	1	1	yes	characteristic
729	#389	C₂²×C₁₃	1	1	yes	characteristic
730	#389	C₂²×C₁₃	1	1	yes	characteristic
731	#389	C₂²×C₁₃	1	1	yes	characteristic
732	#389	C₂²×C₁₃	1	1	yes	characteristic
733	#389	C₂²×C₁₃	1	1	yes	characteristic
734	#389	C₂²×C₁₃	1	1	yes	characteristic
735	#389	C₂²×C₁₃	1	1	yes	characteristic
736	#389	C₂²×C₁₃	1	1	yes	characteristic
737	#389	C₂²×C₁₃	1	1	yes	characteristic
738	#389	C₂²×C₁₃	1	1	yes	characteristic
739	#389	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	#387	C₂²×C₁₃	1	1	yes	characteristic
745	#387	C₂²×C₁₃	1	1	yes	characteristic
746	#387	C₂²×C₁₃	1	1	yes	characteristic
747	#387	C₂²×C₁₃	1	1	yes	characteristic
748	#387	C₂²×C₁₃	1	1	yes	characteristic
749	#387	C₂²×C₁₃	1	1	yes	characteristic
750	#387	C₂²×C₁₃	1	1	yes	characteristic
751	#387	C₂²×C₁₃	1	1	yes	characteristic
752	#387	C₂²×C₁₃	1	1	yes	characteristic
753	#387	C₂²×C₁₃	1	1	yes	characteristic
754	#387	C₂²×C₁₃	1	1	yes	characteristic
755	#387	C₂²×C₁₃	1	1	yes	characteristic
756	#387	C₂²×C₁₃	1	1	yes	characteristic
757	#387	C₂²×C₁₃	1	1	yes	characteristic
758	#387	C₂²×C₁₃	1	1	yes	characteristic
759	#387	C₂²×C₁₃	1	1	yes	characteristic
760	#387	C₂²×C₁₃	1	1	yes	characteristic
761	#387	C₂²×C₁₃	1	1	yes	characteristic
762	#387	C₂²×C₁₃	1	1	yes	characteristic
763	#387	C₂²×C₁₃	1	1	yes	characteristic
764	#386	C₂²×C₁₃	1	1	yes	characteristic
765	#386	C₂²×C₁₃	1	1	yes	characteristic
766	#386	C₂²×C₁₃	1	1	yes	characteristic
767	#386	C₂²×C₁₃	1	1	yes	characteristic
768	#385	C₂²×C₁₃	1	1	yes	characteristic
769	#385	C₂²×C₁₃	1	1	yes	characteristic
770	#385	C₂²×C₁₃	1	1	yes	characteristic
771	#385	C₂²×C₁₃	1	1	yes	characteristic
772	#385	C₂²×C₁₃	1	1	yes	characteristic
773	#385	C₂²×C₁₃	1	1	yes	characteristic
774	#385	C₂²×C₁₃	1	1	yes	characteristic
775	#385	C₂²×C₁₃	1	1	yes	characteristic
776	#385	C₂²×C₁₃	1	1	yes	characteristic
777	#385	C₂²×C₁₃	1	1	yes	characteristic
778	#385	C₂²×C₁₃	1	1	yes	characteristic
779	#385	C₂²×C₁₃	1	1	yes	characteristic
780	#385	C₂²×C₁₃	1	1	yes	characteristic
781	#385	C₂²×C₁₃	1	1	yes	characteristic
782	#385	C₂²×C₁₃	1	1	yes	characteristic
783	#385	C₂²×C₁₃	1	1	yes	characteristic
784	#382	C₂²×C₁₃	1	1	yes	characteristic
785	#380	C₂²×C₁₃	1	1	yes	characteristic
786	#380	C₂²×C₁₃	1	1	yes	characteristic
787	#380	C₂²×C₁₃	1	1	yes	characteristic
788	#380	C₂²×C₁₃	1	1	yes	characteristic
789	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
790	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
791	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
792	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
793	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
794	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
795	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
796	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
797	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
798	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
799	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
800	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
801	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
802	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
803	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
804	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
805	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
806	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
807	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
808	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
809	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
810	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
811	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
812	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
813	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
814	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
815	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
816	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
817	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
818	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
819	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
820	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
821	#376	C₂²×C₁₃	1	1	yes	characteristic
822	#376	C₂²×C₁₃	1	1	yes	characteristic
823	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
824	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
825	C₄³	C₂²×C₁₃	1	1	yes	characteristic
826	C₂²×C₁₃	—	2	2	no	—
827	C₂²×C₁₃	—	2	2	no	—
828	C₂²×C₁₃	—	2	2	no	—
829	C₂²×C₁₃	—	2	2	no	—
830	C₂²×C₁₃	—	2	2	no	—
831	C₂²×C₁₃	—	2	2	no	—
832	C₂²×C₁₃	—	2	2	no	—
833	C₂²×C₁₃	—	2	2	no	—
834	C₂²×C₁₃	—	2	2	no	—
835	C₂²×C₁₃	—	4	1	no	—
836	C₂²×C₁₃	—	4	1	no	—
837	C₂²×C₁₃	—	4	1	no	—
838	C₂²×C₁₃	—	4	1	no	—
839	C₂²×C₁₃	#533	1	4	yes	—
840	C₂²×C₁₃	C₂³×Q₈	1	1	yes	characteristic
841	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
842	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
843	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
844	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
845	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
846	C₂²×C₁₃	#585	1	1	yes	characteristic
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	2	2	no	—
849	C₄×C₁₃	—	2	2	no	—
850	C₄×C₁₃	—	2	2	no	—
851	C₄×C₁₃	—	2	2	no	—
852	C₄×C₁₃	—	2	2	no	—
853	C₄×C₁₃	—	2	2	no	—
854	C₄×C₁₃	—	2	2	no	—
855	C₄×C₁₃	—	2	2	no	—
856	C₄×C₁₃	—	2	2	no	—
857	C₄×C₁₃	—	2	2	no	—
858	C₄×C₁₃	—	2	2	no	—
859	C₄×C₁₃	—	2	2	no	—
860	C₄×C₁₃	—	4	1	no	—
861	C₄×C₁₃	—	4	1	no	—
862	C₄×C₁₃	—	4	1	no	—
863	C₄×C₁₃	—	4	1	no	—
864	C₄×C₁₃	—	4	1	no	—
865	C₄×C₁₃	—	4	1	no	—
866	C₄×C₁₃	—	4	1	no	—
867	C₄×C₁₃	—	4	1	no	—
868	C₄×C₁₃	—	4	1	no	—
869	C₄×C₁₃	—	4	1	no	—
870	C₄×C₁₃	—	4	1	no	—
871	C₄×C₁₃	—	4	1	no	—
872	C₄×C₁₃	—	4	1	no	—
873	C₄×C₁₃	—	4	1	no	—
874	C₄×C₁₃	—	4	1	no	—
875	C₄×C₁₃	#554	1	4	yes	—
876	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
877	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
880	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
881	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
883	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
884	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
886	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
887	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
888	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
889	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
890	#125	—	2	4	no	—
891	C₂²⋊Q₈	—	2	4	no	—
892	C₂²⋊Q₈	—	2	4	no	—
893	C₂²⋊Q₈	—	2	4	no	—
894	C₂²⋊Q₈	—	2	4	no	—
895	C₄×Q₈	—	2	4	no	—
896	C₄×Q₈	—	4	2	no	—
897	C₄×Q₈	—	4	2	no	—
898	C₄×D₄	—	2	4	no	—
899	C₄×D₄	—	2	4	no	—
900	C₄×D₄	Q₈×C₁₃	1	8	yes	complemented
901	#117	—	2	4	no	—
902	#117	—	4	2	no	—
903	C₂×C₄⋊C₄	—	2	4	no	—
904	C₂×C₄⋊C₄	—	2	4	no	—
905	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
906	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
925	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
926	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
952	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
954	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
959	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₄²	—	2	4	no	—
970	C₂×C₄²	—	4	2	no	—
971	C₂×C₄²	—	4	2	no	—
972	C₂×C₄²	—	4	2	no	—
973	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
974	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
975	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
976	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
977	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
978	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
979	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
980	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
981	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
982	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
983	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
984	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
985	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
986	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
987	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
988	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
989	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
990	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
991	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
993	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
994	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
995	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
996	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
997	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
998	#95	C₂³×C₁₃	1	1	yes	characteristic
999	#95	C₂³×C₁₃	1	1	yes	characteristic
1000	#95	C₂³×C₁₃	1	1	yes	characteristic
1001	#95	C₂³×C₁₃	1	1	yes	characteristic
1002	#95	C₂³×C₁₃	1	1	yes	characteristic
1003	#95	C₂³×C₁₃	1	1	yes	characteristic
1004	#95	C₂³×C₁₃	1	1	yes	characteristic
1005	#95	C₂³×C₁₃	1	1	yes	characteristic
1006	#95	C₂³×C₁₃	1	1	yes	characteristic
1007	#95	C₂³×C₁₃	1	1	yes	characteristic
1008	#95	C₂³×C₁₃	1	1	yes	characteristic
1009	#95	C₂³×C₁₃	1	1	yes	characteristic
1010	#95	C₂³×C₁₃	1	1	yes	characteristic
1011	#95	C₂³×C₁₃	1	1	yes	characteristic
1012	#95	C₂³×C₁₃	1	1	yes	characteristic
1013	#95	C₂³×C₁₃	1	1	yes	characteristic
1014	#95	C₂³×C₁₃	1	1	yes	characteristic
1015	#95	C₂³×C₁₃	1	1	yes	characteristic
1016	#95	C₂³×C₁₃	1	1	yes	characteristic
1017	#95	C₂³×C₁₃	1	1	yes	characteristic
1018	#95	C₂³×C₁₃	1	1	yes	characteristic
1019	#95	C₂³×C₁₃	1	1	yes	characteristic
1020	#95	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	C₂×C₁₃	—	2	4	no	—
1051	C₂×C₁₃	—	4	2	no	—
1052	C₂×C₁₃	C₂×#533	1	1	yes	characteristic
1053	C₂×C₁₃	#3444	1	1	yes	characteristic
1054	C₂×C₁₃	#3459	1	1	yes	characteristic
1055	C₂×C₁₃	C₂×#554	1	1	yes	characteristic
1056	C₂×C₁₃	#3475	1	1	yes	characteristic
1057	C₂×C₁₃	Q₈×#41	1	1	yes	characteristic
1058	C₂×C₁₃	#3481	1	1	yes	characteristic
1059	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1061	C₂×Q₈	—	2	2	no	—
1062	C₂×Q₈	—	2	2	no	—
1063	C₂×Q₈	—	2	2	no	—
1064	C₂×Q₈	—	2	2	no	—
1065	C₂×Q₈	—	2	2	no	—
1066	C₂×Q₈	—	4	1	no	—
1067	C₂×Q₈	—	4	1	no	—
1068	C₂×Q₈	—	4	1	no	—
1069	C₂×Q₈	—	4	1	no	—
1070	C₂×D₄	—	2	2	no	—
1071	C₂×D₄	—	2	2	no	—
1072	C₂×D₄	C₂×Q₈×C₁₃	1	4	yes	—
1073	C₂²×C₄	—	2	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	2	2	no	—
1079	C₂²×C₄	—	2	2	no	—
1080	C₂²×C₄	—	2	2	no	—
1081	C₂²×C₄	—	2	2	no	—
1082	C₂²×C₄	—	2	2	no	—
1083	C₂²×C₄	—	2	2	no	—
1084	C₂²×C₄	—	2	2	no	—
1085	C₂²×C₄	—	2	2	no	—
1086	C₂²×C₄	—	2	2	no	—
1087	C₂²×C₄	—	2	2	no	—
1088	C₂²×C₄	—	2	2	no	—
1089	C₂²×C₄	—	2	2	no	—
1090	C₂²×C₄	—	4	1	no	—
1091	C₂²×C₄	—	4	1	no	—
1092	C₂²×C₄	—	4	1	no	—
1093	C₂²×C₄	—	4	1	no	—
1094	C₂²×C₄	—	4	1	no	—
1095	C₂²×C₄	—	4	1	no	—
1096	C₂²×C₄	—	4	1	no	—
1097	C₂²×C₄	—	4	1	no	—
1098	C₂²×C₄	—	4	1	no	—
1099	C₂²×C₄	—	4	1	no	—
1100	C₂²×C₄	C₂×Q₈×C₁₃	1	4	yes	—
1101	C₂²×C₄	C₂×Q₈×C₁₃	1	4	yes	—
1102	C₂²×C₄	C₁₃×#41	1	4	yes	—
1103	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1111	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1113	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1114	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1118	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1131	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1132	C₄⋊C₄	—	2	2	no	—
1133	C₄⋊C₄	—	2	2	no	—
1134	C₄⋊C₄	—	2	2	no	—
1135	C₄⋊C₄	—	2	2	no	—
1136	C₄⋊C₄	—	2	2	no	—
1137	C₄⋊C₄	—	2	2	no	—
1138	C₄⋊C₄	—	2	2	no	—
1139	C₄⋊C₄	—	2	2	no	—
1140	C₄⋊C₄	—	2	2	no	—
1141	C₄⋊C₄	—	2	2	no	—
1142	C₄⋊C₄	—	2	2	no	—
1143	C₄⋊C₄	—	2	2	no	—
1144	C₄⋊C₄	—	2	2	no	—
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	2	2	no	—
1147	C₄⋊C₄	—	2	2	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	2	no	—
1151	C₄⋊C₄	—	2	2	no	—
1152	C₄⋊C₄	—	2	2	no	—
1153	C₄⋊C₄	—	2	2	no	—
1154	C₄⋊C₄	—	2	2	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	4	1	no	—
1168	C₄⋊C₄	—	4	1	no	—
1169	C₄⋊C₄	—	4	1	no	—
1170	C₄⋊C₄	—	4	1	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	C₂×Q₈×C₁₃	1	4	yes	—
1177	C₄⋊C₄	C₁₃×#41	1	4	yes	—
1178	C₂²⋊C₄	—	2	2	no	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	2	no	—
1184	C₂²⋊C₄	—	2	2	no	—
1185	C₂²⋊C₄	—	2	2	no	—
1186	C₂²⋊C₄	—	2	2	no	—
1187	C₂²⋊C₄	—	2	2	no	—
1188	C₂²⋊C₄	—	2	2	no	—
1189	C₂²⋊C₄	—	4	1	no	—
1190	C₂²⋊C₄	—	4	1	no	—
1191	C₂²⋊C₄	—	4	1	no	—
1192	C₂²⋊C₄	—	4	1	no	—
1193	C₂²⋊C₄	C₂×Q₈×C₁₃	1	4	yes	—
1194	C₂²⋊C₄	C₂×Q₈×C₁₃	1	4	yes	—
1195	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
1196	C₄²	—	2	2	no	—
1197	C₄²	—	2	2	no	—
1198	C₄²	—	2	2	no	—
1199	C₄²	—	2	2	no	—
1200	C₄²	—	2	2	no	—
1201	C₄²	—	2	2	no	—
1202	C₄²	—	2	2	no	—
1203	C₄²	—	2	2	no	—
1204	C₄²	—	2	2	no	—
1205	C₄²	—	2	2	no	—
1206	C₄²	—	2	2	no	—
1207	C₄²	—	2	2	no	—
1208	C₄²	—	2	2	no	—
1209	C₄²	—	2	2	no	—
1210	C₄²	—	2	2	no	—
1211	C₄²	—	2	2	no	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	4	1	no	—
1214	C₄²	—	4	1	no	—
1215	C₄²	—	4	1	no	—
1216	C₄²	—	4	1	no	—
1217	C₄²	—	4	1	no	—
1218	C₄²	—	4	1	no	—
1219	C₄²	C₂×Q₈×C₁₃	1	4	yes	—
1220	C₄²	C₁₃×#41	1	4	yes	—
1221	C₁₃	#34840	1	1	yes	characteristic, direct product factor, Sylow
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	1	no	—
1232	C₂³	C₂²×Q₈×C₁₃	1	2	yes	—
1233	C₂³	C₂²×Q₈×C₁₃	1	2	yes	—
1234	C₂³	C₂×C₁₃×#41	1	2	yes	—
1235	C₂³	C₂×C₁₃×#41	1	2	yes	—
1236	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1237	Q₈	—	4	4	no	—
1238	Q₈	—	4	4	no	—
1239	Q₈	—	4	4	no	—
1240	D₄	—	2	8	no	—
1241	C₂×C₄	—	2	8	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	8	no	—
1269	C₂×C₄	—	2	8	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	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	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	4	no	—
1318	C₂×C₄	—	4	4	no	—
1319	C₂×C₄	—	4	4	no	—
1320	C₂×C₄	—	4	4	no	—
1321	C₂×C₄	—	4	4	no	—
1322	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
1323	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
1324	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
1325	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
1326	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
1327	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1328	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1329	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1330	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1331	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1332	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1333	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1334	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1335	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1336	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1337	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	2	2	no	—
1342	C₂²	—	2	2	no	—
1343	C₂²	—	2	2	no	—
1344	C₂²	—	2	2	no	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	C₁₃×#533	1	4	yes	—
1352	C₂²	C₂³×Q₈×C₁₃	1	1	yes	characteristic
1353	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1354	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1355	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1356	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1357	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1358	C₂²	C₁₃×#585	1	1	yes	characteristic
1359	C₄	—	2	2	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	2	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	2	no	—
1364	C₄	—	2	2	no	—
1365	C₄	—	2	2	no	—
1366	C₄	—	2	2	no	—
1367	C₄	—	2	2	no	—
1368	C₄	—	2	2	no	—
1369	C₄	—	2	2	no	—
1370	C₄	—	2	2	no	—
1371	C₄	—	2	2	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	C₁₃×#554	1	4	yes	—
1388	C₂	—	2	4	no	—
1389	C₂	—	4	2	no	—
1390	C₂	C₂×C₁₃×#533	1	1	yes	characteristic
1391	C₂	C₁₃×#3444	1	1	yes	characteristic
1392	C₂	C₁₃×#3459	1	1	yes	characteristic
1393	C₂	C₂×C₁₃×#554	1	1	yes	characteristic
1394	C₂	C₁₃×#3475	1	1	yes	characteristic
1395	C₂	Q₈×C₁₃×#41	1	1	yes	characteristic
1396	C₂	C₁₃×#3481	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂²×D₄×C₁₃	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2590	C₂	semidirect
2. C₁₃×#2589	C₂	semidirect
3. C₁₃×#2588	C₂	semidirect
4. C₁₃×#2587	C₂	semidirect
5. C₁₃×#2586	C₂	semidirect
6. C₁₃×#2585	C₂	semidirect
7. C₁₃×#2583	C₂	semidirect
9. C₁₃×#2574	C₂	semidirect
11. C₁₃×#2556	C₂	semidirect
12. C₁₃×#2549	C₂	semidirect
13. C₁₃×#2505	C₂	semidirect
14. C₁₃×#2473	C₂	semidirect
17. C₁₃×#2402	C₂	semidirect
18. C₁₃×#2399	C₂	semidirect
19. C₁₃×#2396	C₂	semidirect
20. C₁₃×#2396	C₂	semidirect
21. C₄×C₁₃×#125	C₂	semidirect
22. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
23. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
25. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
26. C₁₃×#2296	C₂	semidirect
27. C₁₃×#2295	C₂	semidirect
31. C₂×C₄×C₁₃×C₄⋊C₄	C₂	semidirect
211. C₄×D₄×C₁₃	Q₈	semidirect
361. #34840	C₁₃	direct (N × H)
524. #2590	C₂×C₁₃	semidirect
525. #2589	C₂×C₁₃	semidirect
526. #2588	C₂×C₁₃	semidirect
527. #2587	C₂×C₁₃	semidirect
528. #2586	C₂×C₁₃	semidirect
529. #2585	C₂×C₁₃	semidirect
530. #2583	C₂×C₁₃	semidirect
532. #2574	C₂×C₁₃	semidirect
534. #2556	C₂×C₁₃	semidirect
535. #2549	C₂×C₁₃	semidirect
536. #2505	C₂×C₁₃	semidirect
537. #2473	C₂×C₁₃	semidirect
540. #2402	C₂×C₁₃	semidirect
541. #2399	C₂×C₁₃	semidirect
542. #2396	C₂×C₁₃	semidirect
543. #2396	C₂×C₁₃	semidirect
544. C₄×#125	C₂×C₁₃	semidirect
545. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
546. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
547. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
548. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
549. #2296	C₂×C₁₃	semidirect
550. #2295	C₂×C₁₃	semidirect
554. C₂×C₄×C₄⋊C₄	C₂×C₁₃	semidirect
900. C₄×D₄	Q₈×C₁₃	semidirect
1221. C₁₃	#34840	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×#2590	2
C₁₃×#2589	2
C₁₃×#2588	2
C₁₃×#2587	2
C₁₃×#2586	2
C₁₃×#2585	2
C₁₃×#2583	2
C₁₃×#2579	2
C₁₃×#2574	2
C₁₃×#2564	2
C₁₃×#2556	2
C₁₃×#2549	2
C₁₃×#2505	2
C₁₃×#2473	2
C₁₃×#2450	2
C₁₃×#2449	2
C₁₃×#2402	2
C₁₃×#2399	2
C₁₃×#2396	2
C₄×C₁₃×#125	2
C₄×C₁₃×C₂²⋊Q₈	2
C₁₃×#2296	2
C₁₃×#2295	2
C₁₃×#2290	2
C₄²×D₄×C₁₃	2
C₂×C₄×C₁₃×C₄⋊C₄	2
#34840	13

Subgroups — C13×#34840 #15721179

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34840 #15721179