Subgroups — C₁₃×#36788 #15723127

Order 3328.

1548 conjugacy classes of subgroups.

The subgroup lattice has 1368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2855	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2852	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2780	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2776	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2766	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2765	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2764	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2761	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2761	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2760	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#2750	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2745	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2743	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2739	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2729	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2716	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2696	C₂	1	1	yes	maximal, characteristic
18	C₁₃×#2695	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2655	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2650	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2602	C₂	1	1	yes	maximal, characteristic
22	C₁₃×#2589	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2579	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2578	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#2528	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2527	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2439	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2413	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2335	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2313	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
39	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#401	C₂²	1	1	yes	characteristic
42	C₁₃×#401	C₂²	1	1	yes	characteristic
43	C₁₃×#401	C₂²	1	1	yes	characteristic
44	C₁₃×#400	C₂²	1	1	yes	characteristic
45	C₁₃×#400	C₂²	1	1	yes	characteristic
46	C₁₃×#400	C₂²	1	1	yes	characteristic
47	C₁₃×#400	C₂²	1	1	yes	characteristic
48	C₁₃×#400	C₂²	1	1	yes	characteristic
49	C₁₃×#400	C₂²	1	1	yes	characteristic
50	C₁₃×#400	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×#399	C₂²	1	1	yes	characteristic
57	C₁₃×#398	C₂²	1	1	yes	characteristic
58	C₁₃×#398	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×#397	C₂²	1	1	yes	characteristic
67	C₁₃×#397	C₂²	1	1	yes	characteristic
68	C₁₃×#397	C₂²	1	1	yes	characteristic
69	C₁₃×#397	C₂²	1	1	yes	characteristic
70	C₁₃×#397	C₂²	1	1	yes	characteristic
71	C₁₃×#397	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×#396	C₂²	1	1	yes	characteristic
76	C₁₃×#396	C₂²	1	1	yes	characteristic
77	C₁₃×#396	C₂²	1	1	yes	characteristic
78	C₁₃×#396	C₂²	1	1	yes	characteristic
79	C₁₃×#395	C₂²	1	1	yes	characteristic
80	C₁₃×#394	C₂²	1	1	yes	characteristic
81	C₁₃×#394	C₂²	1	1	yes	characteristic
82	C₁₃×#394	C₂²	1	1	yes	characteristic
83	C₁₃×#393	C₂²	1	1	yes	characteristic
84	C₁₃×#393	C₂²	1	1	yes	characteristic
85	C₁₃×#393	C₂²	1	1	yes	characteristic
86	C₁₃×#393	C₂²	1	1	yes	characteristic
87	C₁₃×#393	C₂²	1	1	yes	characteristic
88	C₁₃×#392	C₂²	1	1	yes	characteristic
89	C₁₃×#391	C₂²	1	1	yes	characteristic
90	C₁₃×#391	C₂²	1	1	yes	characteristic
91	C₁₃×#391	C₂²	1	1	yes	characteristic
92	C₁₃×#391	C₂²	1	1	yes	characteristic
93	C₁₃×#391	C₂²	1	1	yes	characteristic
94	C₁₃×#390	C₂²	1	1	yes	characteristic
95	C₁₃×#390	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×#389	C₂²	1	1	yes	characteristic
102	C₁₃×#389	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
117	C₁₃×#388	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×#387	C₂²	1	1	yes	characteristic
126	C₁₃×#387	C₂²	1	1	yes	characteristic
127	C₁₃×#387	C₂²	1	1	yes	characteristic
128	C₁₃×#387	C₂²	1	1	yes	characteristic
129	C₁₃×#387	C₂²	1	1	yes	characteristic
130	C₁₃×#387	C₂²	1	1	yes	characteristic
131	C₁₃×#387	C₂²	1	1	yes	characteristic
132	C₁₃×#387	C₂²	1	1	yes	characteristic
133	C₁₃×#387	C₂²	1	1	yes	characteristic
134	C₁₃×#387	C₂²	1	1	yes	characteristic
135	C₁₃×#387	C₂²	1	1	yes	characteristic
136	C₁₃×#387	C₂²	1	1	yes	characteristic
137	C₁₃×#387	C₂²	1	1	yes	characteristic
138	C₁₃×#387	C₂²	1	1	yes	characteristic
139	C₁₃×#387	C₂²	1	1	yes	characteristic
140	C₁₃×#387	C₂²	1	1	yes	characteristic
141	C₁₃×#387	C₂²	1	1	yes	characteristic
142	C₁₃×#387	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×#386	C₂²	1	1	yes	characteristic
149	C₁₃×#386	C₂²	1	1	yes	characteristic
150	C₁₃×#386	C₂²	1	1	yes	characteristic
151	C₁₃×#386	C₂²	1	1	yes	characteristic
152	C₁₃×#386	C₂²	1	1	yes	characteristic
153	C₁₃×#385	C₂²	1	1	yes	characteristic
154	C₁₃×#385	C₂²	1	1	yes	characteristic
155	C₁₃×#385	C₂²	1	1	yes	characteristic
156	C₁₃×#385	C₂²	1	1	yes	characteristic
157	C₁₃×#385	C₂²	1	1	yes	characteristic
158	C₁₃×#385	C₂²	1	1	yes	characteristic
159	C₁₃×#385	C₂²	1	1	yes	characteristic
160	C₁₃×#385	C₂²	1	1	yes	characteristic
161	C₁₃×#385	C₂²	1	1	yes	characteristic
162	C₁₃×#385	C₂²	1	1	yes	characteristic
163	C₁₃×#385	C₂²	1	1	yes	characteristic
164	C₁₃×#385	C₂²	1	1	yes	characteristic
165	C₁₃×#383	C₂²	1	1	yes	characteristic
166	C₁₃×#383	C₂²	1	1	yes	characteristic
167	C₁₃×#382	C₂²	1	1	yes	characteristic
168	C₁₃×#382	C₂²	1	1	yes	characteristic
169	C₁₃×#381	C₂²	1	1	yes	characteristic
170	C₁₃×#381	C₂²	1	1	yes	characteristic
171	C₁₃×#381	C₂²	1	1	yes	characteristic
172	C₁₃×#381	C₂²	1	1	yes	characteristic
173	C₁₃×#381	C₂²	1	1	yes	characteristic
174	C₁₃×#381	C₂²	1	1	yes	characteristic
175	C₁₃×#380	C₂²	1	1	yes	characteristic
176	C₁₃×#380	C₂²	1	1	yes	characteristic
177	C₁₃×#380	C₂²	1	1	yes	characteristic
178	C₁₃×#380	C₂²	1	1	yes	characteristic
179	C₁₃×#380	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₁₃×#376	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×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	C₁₃×C₄⋊Q₈	—	4	2	no	—
200	C₁₃×#126	—	4	2	no	—
201	C₁₃×#123	—	2	4	no	—
202	C₁₃×#123	—	4	2	no	—
203	C₁₃×C₂²⋊Q₈	—	4	2	no	—
204	C₄×D₄×C₁₃	—	2	4	no	—
205	C₁₃×#117	—	4	2	no	—
206	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×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×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×C₄²×C₁₃	—	4	2	no	—
277	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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	C₁₃×#95	C₂³	1	1	yes	characteristic
290	C₁₃×#95	C₂³	1	1	yes	characteristic
291	C₁₃×#95	C₂³	1	1	yes	characteristic
292	C₁₃×#95	C₂³	1	1	yes	characteristic
293	C₁₃×#95	C₂³	1	1	yes	characteristic
294	C₁₃×#95	C₂³	1	1	yes	characteristic
295	C₁₃×#95	C₂³	1	1	yes	characteristic
296	C₁₃×#95	C₂³	1	1	yes	characteristic
297	C₁₃×#95	C₂³	1	1	yes	characteristic
298	C₁₃×#95	C₂³	1	1	yes	characteristic
299	C₁₃×#95	C₂³	1	1	yes	characteristic
300	C₁₃×#95	C₂³	1	1	yes	characteristic
301	C₁₃×#95	C₂³	1	1	yes	characteristic
302	C₁₃×#95	C₂³	1	1	yes	characteristic
303	C₁₃×#95	C₂³	1	1	yes	characteristic
304	C₁₃×#95	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	#36788	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×Q₈×C₁₃	—	2	2	no	—
356	C₂×Q₈×C₁₃	—	4	1	no	—
357	C₂×Q₈×C₁₃	—	4	1	no	—
358	C₂×Q₈×C₁₃	—	4	1	no	—
359	C₂×Q₈×C₁₃	—	4	1	no	—
360	C₂×Q₈×C₁₃	—	4	1	no	—
361	C₂×D₄×C₁₃	—	2	2	no	—
362	C₂×D₄×C₁₃	—	2	2	no	—
363	C₂×D₄×C₁₃	—	2	2	no	—
364	C₂×D₄×C₁₃	—	2	2	no	—
365	C₂×D₄×C₁₃	—	4	1	no	—
366	C₂×D₄×C₁₃	—	4	1	no	—
367	C₂×D₄×C₁₃	—	4	1	no	—
368	C₂×D₄×C₁₃	—	4	1	no	—
369	C₂×D₄×C₁₃	—	4	1	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	2	no	—
372	C₂²×C₄×C₁₃	—	2	2	no	—
373	C₂²×C₄×C₁₃	—	2	2	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	4	1	no	—
376	C₂²×C₄×C₁₃	—	4	1	no	—
377	C₂²×C₄×C₁₃	—	4	1	no	—
378	C₂²×C₄×C₁₃	—	4	1	no	—
379	C₂²×C₄×C₁₃	—	4	1	no	—
380	C₂²×C₄×C₁₃	—	4	1	no	—
381	C₂²×C₄×C₁₃	—	4	1	no	—
382	C₂²×C₄×C₁₃	—	4	1	no	—
383	C₂²×C₄×C₁₃	—	4	1	no	—
384	C₂²×C₄×C₁₃	—	4	1	no	—
385	C₂²×C₄×C₁₃	—	4	1	no	—
386	C₂²×C₄×C₁₃	—	4	1	no	—
387	C₂²×C₄×C₁₃	—	4	1	no	—
388	C₂²×C₄×C₁₃	—	4	1	no	—
389	C₂²×C₄×C₁₃	—	4	1	no	—
390	C₂²×C₄×C₁₃	#41	1	4	yes	—
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	2	no	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	2	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₁₃×C₄⋊C₄	—	4	1	no	—
430	C₁₃×C₄⋊C₄	—	4	1	no	—
431	C₁₃×C₄⋊C₄	—	4	1	no	—
432	C₁₃×C₄⋊C₄	—	4	1	no	—
433	C₁₃×C₄⋊C₄	—	4	1	no	—
434	C₁₃×C₄⋊C₄	—	4	1	no	—
435	C₁₃×C₄⋊C₄	—	4	1	no	—
436	C₁₃×C₄⋊C₄	—	4	1	no	—
437	C₁₃×C₄⋊C₄	—	4	1	no	—
438	C₁₃×C₄⋊C₄	—	4	1	no	—
439	C₁₃×C₄⋊C₄	—	4	1	no	—
440	C₁₃×C₄⋊C₄	—	4	1	no	—
441	C₁₃×C₄⋊C₄	—	4	1	no	—
442	C₁₃×C₄⋊C₄	—	4	1	no	—
443	C₁₃×C₄⋊C₄	—	4	1	no	—
444	C₁₃×C₄⋊C₄	—	4	1	no	—
445	C₁₃×C₄⋊C₄	—	4	1	no	—
446	C₁₃×C₄⋊C₄	—	4	1	no	—
447	C₁₃×C₄⋊C₄	—	4	1	no	—
448	C₁₃×C₄⋊C₄	—	4	1	no	—
449	C₁₃×C₄⋊C₄	—	4	1	no	—
450	C₁₃×C₄⋊C₄	—	4	1	no	—
451	C₁₃×C₄⋊C₄	—	4	1	no	—
452	C₁₃×C₄⋊C₄	—	4	1	no	—
453	C₁₃×C₄⋊C₄	—	4	1	no	—
454	C₁₃×C₄⋊C₄	—	4	1	no	—
455	C₁₃×C₄⋊C₄	—	4	1	no	—
456	C₁₃×C₂²⋊C₄	—	2	2	no	—
457	C₁₃×C₂²⋊C₄	—	2	2	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	2	no	—
461	C₁₃×C₂²⋊C₄	—	2	2	no	—
462	C₁₃×C₂²⋊C₄	—	2	2	no	—
463	C₁₃×C₂²⋊C₄	—	2	2	no	—
464	C₁₃×C₂²⋊C₄	—	2	2	no	—
465	C₁₃×C₂²⋊C₄	—	4	1	no	—
466	C₁₃×C₂²⋊C₄	—	4	1	no	—
467	C₁₃×C₂²⋊C₄	—	4	1	no	—
468	C₁₃×C₂²⋊C₄	—	4	1	no	—
469	C₁₃×C₂²⋊C₄	—	4	1	no	—
470	C₁₃×C₂²⋊C₄	—	4	1	no	—
471	C₁₃×C₂²⋊C₄	—	4	1	no	—
472	C₁₃×C₂²⋊C₄	—	4	1	no	—
473	C₁₃×C₂²⋊C₄	—	4	1	no	—
474	C₁₃×C₂²⋊C₄	—	4	1	no	—
475	C₁₃×C₂²⋊C₄	—	4	1	no	—
476	C₁₃×C₂²⋊C₄	—	4	1	no	—
477	C₁₃×C₂²⋊C₄	—	4	1	no	—
478	C₁₃×C₂²⋊C₄	—	4	1	no	—
479	C₁₃×C₂²⋊C₄	—	4	1	no	—
480	C₁₃×C₂²⋊C₄	—	4	1	no	—
481	C₁₃×C₂²⋊C₄	—	4	1	no	—
482	C₁₃×C₂²⋊C₄	—	4	1	no	—
483	C₁₃×C₂²⋊C₄	—	4	1	no	—
484	C₁₃×C₂²⋊C₄	—	4	1	no	—
485	C₁₃×C₂²⋊C₄	—	4	1	no	—
486	C₁₃×C₂²⋊C₄	—	4	1	no	—
487	C₁₃×C₂²⋊C₄	—	4	1	no	—
488	C₄²×C₁₃	—	2	2	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	—	2	2	no	—
491	C₄²×C₁₃	—	4	1	no	—
492	C₄²×C₁₃	—	4	1	no	—
493	C₄²×C₁₃	—	4	1	no	—
494	C₄²×C₁₃	—	4	1	no	—
495	C₄²×C₁₃	—	4	1	no	—
496	C₄²×C₁₃	—	4	1	no	—
497	C₄²×C₁₃	—	4	1	no	—
498	C₄²×C₁₃	—	4	1	no	—
499	C₄²×C₁₃	—	4	1	no	—
500	#2855	C₂×C₁₃	1	1	yes	characteristic, complemented
501	#2852	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#2780	C₂×C₁₃	1	1	yes	characteristic, complemented
503	#2776	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#2766	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#2765	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#2764	C₂×C₁₃	1	1	yes	characteristic, complemented
507	#2761	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#2761	C₂×C₁₃	1	1	yes	characteristic, complemented
509	#2760	C₂×C₁₃	1	1	yes	characteristic
510	#2750	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#2745	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#2743	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#2739	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#2729	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#2716	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#2696	C₂×C₁₃	1	1	yes	characteristic
517	#2695	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#2655	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#2650	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#2602	C₂×C₁₃	1	1	yes	characteristic
521	#2589	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#2579	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#2578	C₂×C₁₃	1	1	yes	characteristic, complemented
524	#2528	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2527	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#2439	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#2413	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#2335	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#2313	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
531	C₂³×C₁₃	—	2	1	no	—
532	C₂³×C₁₃	—	2	1	no	—
533	C₂³×C₁₃	—	2	1	no	—
534	C₂³×C₁₃	—	2	1	no	—
535	C₂³×C₁₃	—	2	1	no	—
536	C₂³×C₁₃	—	2	1	no	—
537	C₂³×C₁₃	—	2	1	no	—
538	C₂³×C₁₃	—	2	1	no	—
539	C₂³×C₁₃	—	2	1	no	—
540	C₂³×C₁₃	—	2	1	no	—
541	C₂³×C₁₃	—	2	1	no	—
542	C₂³×C₁₃	—	2	1	no	—
543	C₂³×C₁₃	—	2	1	no	—
544	C₂³×C₁₃	—	2	1	no	—
545	C₂³×C₁₃	—	2	1	no	—
546	C₂³×C₁₃	—	2	1	no	—
547	C₂³×C₁₃	—	2	1	no	—
548	C₂³×C₁₃	—	2	1	no	—
549	C₂³×C₁₃	—	2	1	no	—
550	C₂³×C₁₃	C₂×#41	1	2	yes	—
551	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
552	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
553	Q₈×C₁₃	—	8	2	no	—
554	Q₈×C₁₃	—	8	2	no	—
555	D₄×C₁₃	—	4	4	no	—
556	D₄×C₁₃	—	8	2	no	—
557	D₄×C₁₃	—	8	2	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	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	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	—	4	4	no	—
640	C₂×C₄×C₁₃	—	4	4	no	—
641	C₂×C₄×C₁₃	—	4	4	no	—
642	C₂×C₄×C₁₃	—	4	4	no	—
643	C₂×C₄×C₁₃	—	4	4	no	—
644	C₂×C₄×C₁₃	—	8	2	no	—
645	C₂×C₄×C₁₃	—	8	2	no	—
646	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
647	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
648	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
649	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
650	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
653	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
655	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
656	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
657	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
658	#401	C₂²×C₁₃	1	1	yes	characteristic
659	#401	C₂²×C₁₃	1	1	yes	characteristic
660	#401	C₂²×C₁₃	1	1	yes	characteristic
661	#400	C₂²×C₁₃	1	1	yes	characteristic
662	#400	C₂²×C₁₃	1	1	yes	characteristic
663	#400	C₂²×C₁₃	1	1	yes	characteristic
664	#400	C₂²×C₁₃	1	1	yes	characteristic
665	#400	C₂²×C₁₃	1	1	yes	characteristic
666	#400	C₂²×C₁₃	1	1	yes	characteristic
667	#400	C₂²×C₁₃	1	1	yes	characteristic
668	#400	C₂²×C₁₃	1	1	yes	characteristic
669	#400	C₂²×C₁₃	1	1	yes	characteristic
670	#400	C₂²×C₁₃	1	1	yes	characteristic
671	#400	C₂²×C₁₃	1	1	yes	characteristic
672	#400	C₂²×C₁₃	1	1	yes	characteristic
673	#399	C₂²×C₁₃	1	1	yes	characteristic
674	#398	C₂²×C₁₃	1	1	yes	characteristic
675	#398	C₂²×C₁₃	1	1	yes	characteristic
676	#398	C₂²×C₁₃	1	1	yes	characteristic
677	#398	C₂²×C₁₃	1	1	yes	characteristic
678	#398	C₂²×C₁₃	1	1	yes	characteristic
679	#398	C₂²×C₁₃	1	1	yes	characteristic
680	#398	C₂²×C₁₃	1	1	yes	characteristic
681	#398	C₂²×C₁₃	1	1	yes	characteristic
682	#398	C₂²×C₁₃	1	1	yes	characteristic
683	#397	C₂²×C₁₃	1	1	yes	characteristic
684	#397	C₂²×C₁₃	1	1	yes	characteristic
685	#397	C₂²×C₁₃	1	1	yes	characteristic
686	#397	C₂²×C₁₃	1	1	yes	characteristic
687	#397	C₂²×C₁₃	1	1	yes	characteristic
688	#397	C₂²×C₁₃	1	1	yes	characteristic
689	#396	C₂²×C₁₃	1	1	yes	characteristic
690	#396	C₂²×C₁₃	1	1	yes	characteristic
691	#396	C₂²×C₁₃	1	1	yes	characteristic
692	#396	C₂²×C₁₃	1	1	yes	characteristic
693	#396	C₂²×C₁₃	1	1	yes	characteristic
694	#396	C₂²×C₁₃	1	1	yes	characteristic
695	#396	C₂²×C₁₃	1	1	yes	characteristic
696	#395	C₂²×C₁₃	1	1	yes	characteristic
697	#394	C₂²×C₁₃	1	1	yes	characteristic
698	#394	C₂²×C₁₃	1	1	yes	characteristic
699	#394	C₂²×C₁₃	1	1	yes	characteristic
700	#393	C₂²×C₁₃	1	1	yes	characteristic
701	#393	C₂²×C₁₃	1	1	yes	characteristic
702	#393	C₂²×C₁₃	1	1	yes	characteristic
703	#393	C₂²×C₁₃	1	1	yes	characteristic
704	#393	C₂²×C₁₃	1	1	yes	characteristic
705	#392	C₂²×C₁₃	1	1	yes	characteristic
706	#391	C₂²×C₁₃	1	1	yes	characteristic
707	#391	C₂²×C₁₃	1	1	yes	characteristic
708	#391	C₂²×C₁₃	1	1	yes	characteristic
709	#391	C₂²×C₁₃	1	1	yes	characteristic
710	#391	C₂²×C₁₃	1	1	yes	characteristic
711	#390	C₂²×C₁₃	1	1	yes	characteristic
712	#390	C₂²×C₁₃	1	1	yes	characteristic
713	#389	C₂²×C₁₃	1	1	yes	characteristic
714	#389	C₂²×C₁₃	1	1	yes	characteristic
715	#389	C₂²×C₁₃	1	1	yes	characteristic
716	#389	C₂²×C₁₃	1	1	yes	characteristic
717	#389	C₂²×C₁₃	1	1	yes	characteristic
718	#389	C₂²×C₁₃	1	1	yes	characteristic
719	#389	C₂²×C₁₃	1	1	yes	characteristic
720	#388	C₂²×C₁₃	1	1	yes	characteristic
721	#388	C₂²×C₁₃	1	1	yes	characteristic
722	#388	C₂²×C₁₃	1	1	yes	characteristic
723	#388	C₂²×C₁₃	1	1	yes	characteristic
724	#388	C₂²×C₁₃	1	1	yes	characteristic
725	#388	C₂²×C₁₃	1	1	yes	characteristic
726	#388	C₂²×C₁₃	1	1	yes	characteristic
727	#388	C₂²×C₁₃	1	1	yes	characteristic
728	#388	C₂²×C₁₃	1	1	yes	characteristic
729	#388	C₂²×C₁₃	1	1	yes	characteristic
730	#388	C₂²×C₁₃	1	1	yes	characteristic
731	#388	C₂²×C₁₃	1	1	yes	characteristic
732	#388	C₂²×C₁₃	1	1	yes	characteristic
733	#388	C₂²×C₁₃	1	1	yes	characteristic
734	#388	C₂²×C₁₃	1	1	yes	characteristic
735	#387	C₂²×C₁₃	1	1	yes	characteristic
736	#387	C₂²×C₁₃	1	1	yes	characteristic
737	#387	C₂²×C₁₃	1	1	yes	characteristic
738	#387	C₂²×C₁₃	1	1	yes	characteristic
739	#387	C₂²×C₁₃	1	1	yes	characteristic
740	#387	C₂²×C₁₃	1	1	yes	characteristic
741	#387	C₂²×C₁₃	1	1	yes	characteristic
742	#387	C₂²×C₁₃	1	1	yes	characteristic
743	#387	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	#386	C₂²×C₁₃	1	1	yes	characteristic
761	#386	C₂²×C₁₃	1	1	yes	characteristic
762	#386	C₂²×C₁₃	1	1	yes	characteristic
763	#386	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	#386	C₂²×C₁₃	1	1	yes	characteristic
769	#386	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	#383	C₂²×C₁₃	1	1	yes	characteristic
783	#383	C₂²×C₁₃	1	1	yes	characteristic
784	#382	C₂²×C₁₃	1	1	yes	characteristic
785	#382	C₂²×C₁₃	1	1	yes	characteristic
786	#381	C₂²×C₁₃	1	1	yes	characteristic
787	#381	C₂²×C₁₃	1	1	yes	characteristic
788	#381	C₂²×C₁₃	1	1	yes	characteristic
789	#381	C₂²×C₁₃	1	1	yes	characteristic
790	#381	C₂²×C₁₃	1	1	yes	characteristic
791	#381	C₂²×C₁₃	1	1	yes	characteristic
792	#380	C₂²×C₁₃	1	1	yes	characteristic
793	#380	C₂²×C₁₃	1	1	yes	characteristic
794	#380	C₂²×C₁₃	1	1	yes	characteristic
795	#380	C₂²×C₁₃	1	1	yes	characteristic
796	#380	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×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
800	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
801	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
802	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
803	#376	C₂²×C₁₃	1	1	yes	characteristic
804	C₂²×C₁₃	—	2	2	no	—
805	C₂²×C₁₃	—	2	2	no	—
806	C₂²×C₁₃	—	2	2	no	—
807	C₂²×C₁₃	—	2	2	no	—
808	C₂²×C₁₃	—	2	2	no	—
809	C₂²×C₁₃	—	2	2	no	—
810	C₂²×C₁₃	—	4	1	no	—
811	C₂²×C₁₃	—	4	1	no	—
812	C₂²×C₁₃	—	4	1	no	—
813	C₂²×C₁₃	—	4	1	no	—
814	C₂²×C₁₃	—	4	1	no	—
815	C₂²×C₁₃	—	4	1	no	—
816	C₂²×C₁₃	—	4	1	no	—
817	C₂²×C₁₃	—	4	1	no	—
818	C₂²×C₁₃	—	4	1	no	—
819	C₂²×C₁₃	—	4	1	no	—
820	C₂²×C₁₃	—	4	1	no	—
821	C₂²×C₁₃	—	4	1	no	—
822	C₂²×C₁₃	—	4	1	no	—
823	C₂²×C₁₃	—	4	1	no	—
824	C₂²×C₁₃	—	4	1	no	—
825	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
826	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
827	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
828	C₂²×C₁₃	#585	1	1	yes	characteristic
829	C₂²×C₁₃	#585	1	1	yes	characteristic
830	C₂²×C₁₃	#585	1	1	yes	characteristic
831	C₂²×C₁₃	#585	1	1	yes	characteristic
832	C₄×C₁₃	—	2	2	no	—
833	C₄×C₁₃	—	2	2	no	—
834	C₄×C₁₃	—	2	2	no	—
835	C₄×C₁₃	—	4	1	no	—
836	C₄×C₁₃	—	4	1	no	—
837	C₄×C₁₃	—	4	1	no	—
838	C₄×C₁₃	—	4	1	no	—
839	C₄×C₁₃	—	4	1	no	—
840	C₄×C₁₃	—	4	1	no	—
841	C₄×C₁₃	—	4	1	no	—
842	C₄×C₁₃	—	4	1	no	—
843	C₄×C₁₃	—	4	1	no	—
844	C₄×C₁₃	—	4	1	no	—
845	C₄×C₁₃	—	4	1	no	—
846	C₄×C₁₃	—	4	1	no	—
847	C₄×C₁₃	—	4	1	no	—
848	C₄×C₁₃	—	4	1	no	—
849	C₄×C₁₃	—	4	1	no	—
850	C₄×C₁₃	—	4	1	no	—
851	C₄×C₁₃	—	4	1	no	—
852	C₄×C₁₃	—	4	1	no	—
853	C₄×C₁₃	—	4	1	no	—
854	C₄×C₁₃	—	4	1	no	—
855	C₄×C₁₃	—	4	1	no	—
856	C₄×C₁₃	—	4	1	no	—
857	C₄×C₁₃	—	4	1	no	—
858	C₄×C₁₃	—	4	1	no	—
859	C₄×C₁₃	—	4	1	no	—
860	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
865	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
866	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
867	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
868	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
869	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
870	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
871	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
872	C₄⋊Q₈	—	4	2	no	—
873	#126	—	4	2	no	—
874	#123	—	2	4	no	—
875	#123	—	4	2	no	—
876	C₂²⋊Q₈	—	4	2	no	—
877	C₄×D₄	—	2	4	no	—
878	#117	—	4	2	no	—
879	C₂×C₄⋊C₄	—	2	4	no	—
880	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
883	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
891	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
892	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
928	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
929	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
936	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
938	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
940	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
946	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
947	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
948	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
949	C₂×C₄²	—	4	2	no	—
950	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
951	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
952	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
953	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
954	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
956	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
957	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
958	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
959	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
960	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
961	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
962	#95	C₂³×C₁₃	1	1	yes	characteristic
963	#95	C₂³×C₁₃	1	1	yes	characteristic
964	#95	C₂³×C₁₃	1	1	yes	characteristic
965	#95	C₂³×C₁₃	1	1	yes	characteristic
966	#95	C₂³×C₁₃	1	1	yes	characteristic
967	#95	C₂³×C₁₃	1	1	yes	characteristic
968	#95	C₂³×C₁₃	1	1	yes	characteristic
969	#95	C₂³×C₁₃	1	1	yes	characteristic
970	#95	C₂³×C₁₃	1	1	yes	characteristic
971	#95	C₂³×C₁₃	1	1	yes	characteristic
972	#95	C₂³×C₁₃	1	1	yes	characteristic
973	#95	C₂³×C₁₃	1	1	yes	characteristic
974	#95	C₂³×C₁₃	1	1	yes	characteristic
975	#95	C₂³×C₁₃	1	1	yes	characteristic
976	#95	C₂³×C₁₃	1	1	yes	characteristic
977	#95	C₂³×C₁₃	1	1	yes	characteristic
978	#95	C₂³×C₁₃	1	1	yes	characteristic
979	#95	C₂³×C₁₃	1	1	yes	characteristic
980	#95	C₂³×C₁₃	1	1	yes	characteristic
981	#95	C₂³×C₁₃	1	1	yes	characteristic
982	#95	C₂³×C₁₃	1	1	yes	characteristic
983	#95	C₂³×C₁₃	1	1	yes	characteristic
984	#95	C₂³×C₁₃	1	1	yes	characteristic
985	#95	C₂³×C₁₃	1	1	yes	characteristic
986	#95	C₂³×C₁₃	1	1	yes	characteristic
987	#95	C₂³×C₁₃	1	1	yes	characteristic
988	#95	C₂³×C₁₃	1	1	yes	characteristic
989	#95	C₂³×C₁₃	1	1	yes	characteristic
990	#95	C₂³×C₁₃	1	1	yes	characteristic
991	#95	C₂³×C₁₃	1	1	yes	characteristic
992	#95	C₂³×C₁₃	1	1	yes	characteristic
993	#95	C₂³×C₁₃	1	1	yes	characteristic
994	#95	C₂³×C₁₃	1	1	yes	characteristic
995	#95	C₂³×C₁₃	1	1	yes	characteristic
996	#95	C₂³×C₁₃	1	1	yes	characteristic
997	#95	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	C₂×C₁₃	—	4	2	no	—
1025	C₂×C₁₃	—	4	2	no	—
1026	C₂×C₁₃	—	8	1	no	—
1027	C₂×C₁₃	#3455	1	1	yes	characteristic
1028	C₂×C₁₃	#3495	1	1	yes	characteristic
1029	C₂×C₁₃	#3505	1	1	yes	characteristic
1030	C₂×C₁₃	#3533	1	1	yes	characteristic
1031	C₂×C₁₃	#3541	1	1	yes	characteristic
1032	C₂×C₁₃	#3564	1	1	yes	characteristic
1033	C₂×C₁₃	#3566	1	1	yes	characteristic
1034	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1035	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1036	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1037	C₂×Q₈	—	2	2	no	—
1038	C₂×Q₈	—	4	1	no	—
1039	C₂×Q₈	—	4	1	no	—
1040	C₂×Q₈	—	4	1	no	—
1041	C₂×Q₈	—	4	1	no	—
1042	C₂×Q₈	—	4	1	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	2	2	no	—
1045	C₂×D₄	—	2	2	no	—
1046	C₂×D₄	—	2	2	no	—
1047	C₂×D₄	—	4	1	no	—
1048	C₂×D₄	—	4	1	no	—
1049	C₂×D₄	—	4	1	no	—
1050	C₂×D₄	—	4	1	no	—
1051	C₂×D₄	—	4	1	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	2	no	—
1054	C₂²×C₄	—	2	2	no	—
1055	C₂²×C₄	—	2	2	no	—
1056	C₂²×C₄	—	2	2	no	—
1057	C₂²×C₄	—	4	1	no	—
1058	C₂²×C₄	—	4	1	no	—
1059	C₂²×C₄	—	4	1	no	—
1060	C₂²×C₄	—	4	1	no	—
1061	C₂²×C₄	—	4	1	no	—
1062	C₂²×C₄	—	4	1	no	—
1063	C₂²×C₄	—	4	1	no	—
1064	C₂²×C₄	—	4	1	no	—
1065	C₂²×C₄	—	4	1	no	—
1066	C₂²×C₄	—	4	1	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	C₁₃×#41	1	4	yes	—
1073	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1080	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1085	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1088	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1089	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1090	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1093	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1096	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1097	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1098	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1099	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1101	C₄⋊C₄	—	2	2	no	—
1102	C₄⋊C₄	—	2	2	no	—
1103	C₄⋊C₄	—	2	2	no	—
1104	C₄⋊C₄	—	2	2	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	—	2	2	no	—
1108	C₄⋊C₄	—	2	2	no	—
1109	C₄⋊C₄	—	2	2	no	—
1110	C₄⋊C₄	—	2	2	no	—
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	4	1	no	—
1124	C₄⋊C₄	—	4	1	no	—
1125	C₄⋊C₄	—	4	1	no	—
1126	C₄⋊C₄	—	4	1	no	—
1127	C₄⋊C₄	—	4	1	no	—
1128	C₄⋊C₄	—	4	1	no	—
1129	C₄⋊C₄	—	4	1	no	—
1130	C₄⋊C₄	—	4	1	no	—
1131	C₄⋊C₄	—	4	1	no	—
1132	C₄⋊C₄	—	4	1	no	—
1133	C₄⋊C₄	—	4	1	no	—
1134	C₄⋊C₄	—	4	1	no	—
1135	C₄⋊C₄	—	4	1	no	—
1136	C₄⋊C₄	—	4	1	no	—
1137	C₄⋊C₄	—	4	1	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	—	2	2	no	—
1143	C₂²⋊C₄	—	2	2	no	—
1144	C₂²⋊C₄	—	2	2	no	—
1145	C₂²⋊C₄	—	2	2	no	—
1146	C₂²⋊C₄	—	2	2	no	—
1147	C₂²⋊C₄	—	4	1	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	4	1	no	—
1154	C₂²⋊C₄	—	4	1	no	—
1155	C₂²⋊C₄	—	4	1	no	—
1156	C₂²⋊C₄	—	4	1	no	—
1157	C₂²⋊C₄	—	4	1	no	—
1158	C₂²⋊C₄	—	4	1	no	—
1159	C₂²⋊C₄	—	4	1	no	—
1160	C₂²⋊C₄	—	4	1	no	—
1161	C₂²⋊C₄	—	4	1	no	—
1162	C₂²⋊C₄	—	4	1	no	—
1163	C₂²⋊C₄	—	4	1	no	—
1164	C₂²⋊C₄	—	4	1	no	—
1165	C₂²⋊C₄	—	4	1	no	—
1166	C₂²⋊C₄	—	4	1	no	—
1167	C₂²⋊C₄	—	4	1	no	—
1168	C₂²⋊C₄	—	4	1	no	—
1169	C₂²⋊C₄	—	4	1	no	—
1170	C₄²	—	2	2	no	—
1171	C₄²	—	2	2	no	—
1172	C₄²	—	2	2	no	—
1173	C₄²	—	4	1	no	—
1174	C₄²	—	4	1	no	—
1175	C₄²	—	4	1	no	—
1176	C₄²	—	4	1	no	—
1177	C₄²	—	4	1	no	—
1178	C₄²	—	4	1	no	—
1179	C₄²	—	4	1	no	—
1180	C₄²	—	4	1	no	—
1181	C₄²	—	4	1	no	—
1182	C₁₃	#36788	1	1	yes	characteristic, direct product factor, Sylow
1183	C₂³	—	2	1	no	—
1184	C₂³	—	2	1	no	—
1185	C₂³	—	2	1	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	1	no	—
1191	C₂³	—	2	1	no	—
1192	C₂³	—	2	1	no	—
1193	C₂³	—	2	1	no	—
1194	C₂³	—	2	1	no	—
1195	C₂³	—	2	1	no	—
1196	C₂³	—	2	1	no	—
1197	C₂³	—	2	1	no	—
1198	C₂³	—	2	1	no	—
1199	C₂³	—	2	1	no	—
1200	C₂³	—	2	1	no	—
1201	C₂³	—	2	1	no	—
1202	C₂³	C₂×C₁₃×#41	1	2	yes	—
1203	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
1204	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1205	Q₈	—	8	2	no	—
1206	Q₈	—	8	2	no	—
1207	D₄	—	4	4	no	—
1208	D₄	—	8	2	no	—
1209	D₄	—	8	2	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	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	1	no	—
1269	C₂×C₄	—	2	1	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	—	4	4	no	—
1292	C₂×C₄	—	4	4	no	—
1293	C₂×C₄	—	4	4	no	—
1294	C₂×C₄	—	4	4	no	—
1295	C₂×C₄	—	4	4	no	—
1296	C₂×C₄	—	8	2	no	—
1297	C₂×C₄	—	8	2	no	—
1298	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1299	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1300	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	2	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	4	1	no	—
1308	C₂²	—	4	1	no	—
1309	C₂²	—	4	1	no	—
1310	C₂²	—	4	1	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	4	1	no	—
1314	C₂²	—	4	1	no	—
1315	C₂²	—	4	1	no	—
1316	C₂²	—	4	1	no	—
1317	C₂²	—	4	1	no	—
1318	C₂²	—	4	1	no	—
1319	C₂²	—	4	1	no	—
1320	C₂²	—	4	1	no	—
1321	C₂²	—	4	1	no	—
1322	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1323	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1324	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1325	C₂²	C₁₃×#585	1	1	yes	characteristic
1326	C₂²	C₁₃×#585	1	1	yes	characteristic
1327	C₂²	C₁₃×#585	1	1	yes	characteristic
1328	C₂²	C₁₃×#585	1	1	yes	characteristic
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	2	2	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	1	no	—
1340	C₄	—	4	1	no	—
1341	C₄	—	4	1	no	—
1342	C₄	—	4	1	no	—
1343	C₄	—	4	1	no	—
1344	C₄	—	4	1	no	—
1345	C₄	—	4	1	no	—
1346	C₄	—	4	1	no	—
1347	C₄	—	4	1	no	—
1348	C₄	—	4	1	no	—
1349	C₄	—	4	1	no	—
1350	C₄	—	4	1	no	—
1351	C₄	—	4	1	no	—
1352	C₄	—	4	1	no	—
1353	C₄	—	4	1	no	—
1354	C₄	—	4	1	no	—
1355	C₄	—	4	1	no	—
1356	C₄	—	4	1	no	—
1357	C₂	—	4	2	no	—
1358	C₂	—	4	2	no	—
1359	C₂	—	8	1	no	—
1360	C₂	C₁₃×#3455	1	1	yes	characteristic
1361	C₂	C₁₃×#3495	1	1	yes	characteristic
1362	C₂	C₁₃×#3505	1	1	yes	characteristic
1363	C₂	C₁₃×#3533	1	1	yes	characteristic
1364	C₂	C₁₃×#3541	1	1	yes	characteristic
1365	C₂	C₁₃×#3564	1	1	yes	characteristic
1366	C₂	C₁₃×#3566	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₁₃×#392	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2855	C₂	semidirect
2. C₁₃×#2852	C₂	semidirect
3. C₁₃×#2780	C₂	semidirect
4. C₁₃×#2776	C₂	semidirect
5. C₁₃×#2766	C₂	semidirect
6. C₁₃×#2765	C₂	semidirect
7. C₁₃×#2764	C₂	semidirect
8. C₁₃×#2761	C₂	semidirect
9. C₁₃×#2761	C₂	semidirect
11. C₁₃×#2750	C₂	semidirect
12. C₁₃×#2745	C₂	semidirect
13. C₁₃×#2743	C₂	semidirect
14. C₁₃×#2739	C₂	semidirect
15. C₁₃×#2729	C₂	semidirect
16. C₁₃×#2716	C₂	semidirect
18. C₁₃×#2695	C₂	semidirect
19. C₁₃×#2655	C₂	semidirect
20. C₁₃×#2650	C₂	semidirect
22. C₁₃×#2589	C₂	semidirect
23. C₁₃×#2579	C₂	semidirect
24. C₁₃×#2578	C₂	semidirect
25. C₁₃×#2528	C₂	semidirect
26. C₁₃×#2527	C₂	semidirect
27. C₁₃×#2439	C₂	semidirect
28. C₁₃×#2413	C₂	semidirect
29. C₁₃×#2335	C₂	semidirect
30. C₁₃×#2313	C₂	semidirect
31. C₁₃×#2290	C₂	semidirect
351. #36788	C₁₃	direct (N × H)
500. #2855	C₂×C₁₃	semidirect
501. #2852	C₂×C₁₃	semidirect
502. #2780	C₂×C₁₃	semidirect
503. #2776	C₂×C₁₃	semidirect
504. #2766	C₂×C₁₃	semidirect
505. #2765	C₂×C₁₃	semidirect
506. #2764	C₂×C₁₃	semidirect
507. #2761	C₂×C₁₃	semidirect
508. #2761	C₂×C₁₃	semidirect
510. #2750	C₂×C₁₃	semidirect
511. #2745	C₂×C₁₃	semidirect
512. #2743	C₂×C₁₃	semidirect
513. #2739	C₂×C₁₃	semidirect
514. #2729	C₂×C₁₃	semidirect
515. #2716	C₂×C₁₃	semidirect
517. #2695	C₂×C₁₃	semidirect
518. #2655	C₂×C₁₃	semidirect
519. #2650	C₂×C₁₃	semidirect
521. #2589	C₂×C₁₃	semidirect
522. #2579	C₂×C₁₃	semidirect
523. #2578	C₂×C₁₃	semidirect
524. #2528	C₂×C₁₃	semidirect
525. #2527	C₂×C₁₃	semidirect
526. #2439	C₂×C₁₃	semidirect
527. #2413	C₂×C₁₃	semidirect
528. #2335	C₂×C₁₃	semidirect
529. #2313	C₂×C₁₃	semidirect
530. #2290	C₂×C₁₃	semidirect
1182. C₁₃	#36788	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#2855	2
C₁₃×#2852	2
C₁₃×#2780	2
C₁₃×#2776	2
C₁₃×#2766	2
C₁₃×#2765	2
C₁₃×#2764	2
C₁₃×#2761	2
C₁₃×#2760	2
C₁₃×#2750	2
C₁₃×#2745	2
C₁₃×#2743	2
C₁₃×#2739	2
C₁₃×#2729	2
C₁₃×#2716	2
C₁₃×#2696	2
C₁₃×#2695	2
C₁₃×#2655	2
C₁₃×#2650	2
C₁₃×#2602	2
C₁₃×#2589	2
C₁₃×#2579	2
C₁₃×#2578	2
C₁₃×#2528	2
C₁₃×#2527	2
C₁₃×#2439	2
C₁₃×#2413	2
C₁₃×#2335	2
C₁₃×#2313	2
C₁₃×#2290	2
#36788	13

Subgroups — C13×#36788 #15723127

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36788 #15723127