Subgroups — C₁₃×#34732 #15721071

Order 3328.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2477	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2476	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2471	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2470	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2465	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2464	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2458	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2457	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2450	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2438	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2430	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2424	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2411	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2404	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2398	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2388	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×C₁₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2297	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#525	—	2	8	no	—
36	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
49	C₄×C₁₃×#41	—	2	8	no	—
50	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
61	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
65	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
66	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
72	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
73	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
74	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#399	C₂²	1	1	yes	characteristic
79	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#397	C₂²	1	1	yes	characteristic
83	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#396	C₂²	1	1	yes	characteristic
86	C₁₃×#396	C₂²	1	1	yes	characteristic
87	C₁₃×#396	C₂²	1	1	yes	characteristic
88	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#394	C₂²	1	1	yes	characteristic
92	C₁₃×#394	C₂²	1	1	yes	characteristic
93	C₁₃×#394	C₂²	1	1	yes	characteristic
94	C₁₃×#394	C₂²	1	1	yes	characteristic
95	C₁₃×#394	C₂²	1	1	yes	characteristic
96	C₁₃×#394	C₂²	1	1	yes	characteristic
97	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#393	C₂²	1	1	yes	characteristic
100	C₁₃×#393	C₂²	1	1	yes	characteristic
101	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#392	C₂²	1	1	yes	characteristic
104	C₁₃×#392	C₂²	1	1	yes	characteristic
105	C₁₃×#392	C₂²	1	1	yes	characteristic
106	C₁₃×#392	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#390	C₂²	1	1	yes	characteristic
110	C₁₃×#390	C₂²	1	1	yes	characteristic
111	C₁₃×#390	C₂²	1	1	yes	characteristic
112	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
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×#388	C₂²	1	1	yes	characteristic
119	C₁₃×#388	C₂²	1	1	yes	characteristic
120	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#386	C₂²	1	1	yes	characteristic
136	C₁₃×#386	C₂²	1	1	yes	characteristic
137	C₁₃×#386	C₂²	1	1	yes	characteristic
138	C₁₃×#386	C₂²	1	1	yes	characteristic
139	C₁₃×#386	C₂²	1	1	yes	characteristic
140	C₁₃×#386	C₂²	1	1	yes	characteristic
141	C₁₃×#386	C₂²	1	1	yes	characteristic
142	C₁₃×#386	C₂²	1	1	yes	characteristic
143	C₁₃×#386	C₂²	1	1	yes	characteristic
144	C₁₃×#386	C₂²	1	1	yes	characteristic
145	C₁₃×#386	C₂²	1	1	yes	characteristic
146	C₁₃×#386	C₂²	1	1	yes	characteristic
147	C₁₃×#386	C₂²	1	1	yes	characteristic
148	C₁₃×#386	C₂²	1	1	yes	characteristic
149	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#385	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, complemented
159	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#381	C₂²	1	1	yes	characteristic
162	C₁₃×#381	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×#380	C₂²	1	1	yes	characteristic
164	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#379	C₂²	1	1	yes	characteristic
166	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
169	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
170	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
188	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
189	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×#41	—	2	4	no	—
191	C₂×C₁₃×#41	—	2	4	no	—
192	C₂×C₁₃×#41	—	2	4	no	—
193	C₂×C₁₃×#41	—	2	4	no	—
194	C₂×C₁₃×#41	—	2	4	no	—
195	C₂×C₁₃×#41	—	4	2	no	—
196	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
197	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
203	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₃	—	2	4	no	—
211	C₂³×C₄×C₁₃	—	2	4	no	—
212	C₂³×C₄×C₁₃	—	4	2	no	—
213	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
219	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
220	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
221	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
222	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
230	C₁₃×#123	—	2	4	no	—
231	C₁₃×#123	—	2	4	no	—
232	C₁₃×#123	—	2	4	no	—
233	C₁₃×#123	—	2	4	no	—
234	C₁₃×C₂²⋊Q₈	—	2	4	no	—
235	C₁₃×C₂²⋊Q₈	—	2	4	no	—
236	C₁₃×#121	—	2	4	no	—
237	C₁₃×#121	—	2	4	no	—
238	C₁₃×#121	—	2	4	no	—
239	C₁₃×#121	—	2	4	no	—
240	C₁₃×#120	—	2	4	no	—
241	C₁₃×#120	—	2	4	no	—
242	C₁₃×#120	—	2	4	no	—
243	C₄×Q₈×C₁₃	—	2	4	no	—
244	C₄×Q₈×C₁₃	—	2	4	no	—
245	C₄×D₄×C₁₃	—	2	4	no	—
246	C₄×D₄×C₁₃	—	2	4	no	—
247	C₄×D₄×C₁₃	—	2	4	no	—
248	C₄×D₄×C₁₃	—	2	4	no	—
249	C₄×D₄×C₁₃	—	2	4	no	—
250	C₄×D₄×C₁₃	—	2	4	no	—
251	C₄×D₄×C₁₃	—	2	4	no	—
252	C₄×D₄×C₁₃	—	2	4	no	—
253	C₄×D₄×C₁₃	—	2	4	no	—
254	C₄×D₄×C₁₃	—	4	2	no	—
255	C₄×D₄×C₁₃	—	4	2	no	—
256	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
257	C₁₃×#117	—	2	4	no	—
258	C₁₃×#117	—	2	4	no	—
259	C₁₃×#117	—	2	4	no	—
260	C₁₃×#117	—	2	4	no	—
261	C₁₃×#117	—	4	2	no	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
287	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₁₃	—	2	4	no	—
335	C₂×C₄²×C₁₃	—	2	4	no	—
336	C₂×C₄²×C₁₃	—	2	4	no	—
337	C₂×C₄²×C₁₃	—	4	2	no	—
338	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	C₁₃×#95	C₂³	1	1	yes	characteristic
358	C₁₃×#95	C₂³	1	1	yes	characteristic
359	C₁₃×#95	C₂³	1	1	yes	characteristic
360	C₁₃×#95	C₂³	1	1	yes	characteristic
361	C₁₃×#95	C₂³	1	1	yes	characteristic
362	C₁₃×#95	C₂³	1	1	yes	characteristic
363	C₁₃×#95	C₂³	1	1	yes	characteristic
364	C₁₃×#95	C₂³	1	1	yes	characteristic
365	C₁₃×#95	C₂³	1	1	yes	characteristic
366	C₁₃×#95	C₂³	1	1	yes	characteristic
367	C₁₃×#95	C₂³	1	1	yes	characteristic
368	C₁₃×#95	C₂³	1	1	yes	characteristic
369	C₁₃×#95	C₂³	1	1	yes	characteristic
370	C₁₃×#95	C₂³	1	1	yes	characteristic
371	C₁₃×#95	C₂³	1	1	yes	characteristic
372	C₁₃×#95	C₂³	1	1	yes	characteristic
373	C₁₃×#95	C₂³	1	1	yes	characteristic
374	C₁₃×#95	C₂³	1	1	yes	characteristic
375	C₁₃×#95	C₂³	1	1	yes	characteristic
376	C₁₃×#95	C₂³	1	1	yes	characteristic
377	C₁₃×#95	C₂³	1	1	yes	characteristic
378	C₁₃×#95	C₂³	1	1	yes	characteristic
379	C₁₃×#95	C₂³	1	1	yes	characteristic
380	C₁₃×#95	C₂³	1	1	yes	characteristic
381	C₁₃×#95	C₂³	1	1	yes	characteristic
382	C₁₃×#95	C₂³	1	1	yes	characteristic
383	C₁₃×#95	C₂³	1	1	yes	characteristic
384	C₁₃×#95	C₂³	1	1	yes	characteristic
385	C₁₃×#95	C₂³	1	1	yes	characteristic
386	C₁₃×#95	C₂³	1	1	yes	characteristic
387	C₁₃×#95	C₂³	1	1	yes	characteristic
388	C₁₃×#95	C₂³	1	1	yes	characteristic
389	C₁₃×#95	C₂³	1	1	yes	characteristic
390	C₁₃×#95	C₂³	1	1	yes	characteristic
391	#34732	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
392	C₂⁴×C₁₃	—	2	2	no	—
393	C₂⁴×C₁₃	—	2	2	no	—
394	C₂⁴×C₁₃	—	2	2	no	—
395	C₂⁴×C₁₃	—	2	2	no	—
396	C₂⁴×C₁₃	—	2	2	no	—
397	C₂⁴×C₁₃	—	4	1	no	—
398	C₂⁴×C₁₃	—	4	1	no	—
399	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₁₃×#41	—	2	32	no	—
406	C₁₃×#41	—	4	16	no	—
407	C₂×Q₈×C₁₃	—	2	2	no	—
408	C₂×Q₈×C₁₃	—	2	2	no	—
409	C₂×Q₈×C₁₃	—	2	2	no	—
410	C₂×Q₈×C₁₃	—	2	2	no	—
411	C₂×Q₈×C₁₃	—	2	2	no	—
412	C₂×Q₈×C₁₃	—	4	1	no	—
413	C₂×D₄×C₁₃	—	2	2	no	—
414	C₂×D₄×C₁₃	—	2	2	no	—
415	C₂×D₄×C₁₃	—	2	2	no	—
416	C₂×D₄×C₁₃	—	2	2	no	—
417	C₂×D₄×C₁₃	—	2	2	no	—
418	C₂×D₄×C₁₃	—	2	2	no	—
419	C₂×D₄×C₁₃	—	2	2	no	—
420	C₂×D₄×C₁₃	—	2	2	no	—
421	C₂×D₄×C₁₃	—	2	2	no	—
422	C₂×D₄×C₁₃	—	2	2	no	—
423	C₂×D₄×C₁₃	—	2	2	no	—
424	C₂×D₄×C₁₃	—	2	2	no	—
425	C₂×D₄×C₁₃	—	2	2	no	—
426	C₂×D₄×C₁₃	—	2	2	no	—
427	C₂×D₄×C₁₃	—	2	2	no	—
428	C₂×D₄×C₁₃	—	2	2	no	—
429	C₂×D₄×C₁₃	—	2	2	no	—
430	C₂×D₄×C₁₃	—	2	2	no	—
431	C₂×D₄×C₁₃	—	2	2	no	—
432	C₂×D₄×C₁₃	—	2	2	no	—
433	C₂×D₄×C₁₃	—	2	2	no	—
434	C₂×D₄×C₁₃	—	2	2	no	—
435	C₂×D₄×C₁₃	—	2	2	no	—
436	C₂×D₄×C₁₃	—	2	2	no	—
437	C₂×D₄×C₁₃	—	2	2	no	—
438	C₂×D₄×C₁₃	—	2	2	no	—
439	C₂×D₄×C₁₃	—	4	1	no	—
440	C₂×D₄×C₁₃	—	4	1	no	—
441	C₂×D₄×C₁₃	—	4	1	no	—
442	C₂×D₄×C₁₃	—	4	1	no	—
443	C₂×D₄×C₁₃	—	4	1	no	—
444	C₂×D₄×C₁₃	—	4	1	no	—
445	C₂×D₄×C₁₃	—	4	1	no	—
446	C₂×D₄×C₁₃	—	4	1	no	—
447	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
448	C₂×D₄×C₁₃	#41	1	4	yes	complemented
449	C₂²×C₄×C₁₃	—	2	2	no	—
450	C₂²×C₄×C₁₃	—	2	2	no	—
451	C₂²×C₄×C₁₃	—	2	2	no	—
452	C₂²×C₄×C₁₃	—	2	2	no	—
453	C₂²×C₄×C₁₃	—	2	2	no	—
454	C₂²×C₄×C₁₃	—	2	2	no	—
455	C₂²×C₄×C₁₃	—	2	2	no	—
456	C₂²×C₄×C₁₃	—	2	2	no	—
457	C₂²×C₄×C₁₃	—	2	2	no	—
458	C₂²×C₄×C₁₃	—	2	2	no	—
459	C₂²×C₄×C₁₃	—	2	2	no	—
460	C₂²×C₄×C₁₃	—	2	2	no	—
461	C₂²×C₄×C₁₃	—	2	2	no	—
462	C₂²×C₄×C₁₃	—	2	2	no	—
463	C₂²×C₄×C₁₃	—	2	2	no	—
464	C₂²×C₄×C₁₃	—	2	2	no	—
465	C₂²×C₄×C₁₃	—	2	2	no	—
466	C₂²×C₄×C₁₃	—	2	2	no	—
467	C₂²×C₄×C₁₃	—	2	2	no	—
468	C₂²×C₄×C₁₃	—	2	2	no	—
469	C₂²×C₄×C₁₃	—	2	2	no	—
470	C₂²×C₄×C₁₃	—	2	2	no	—
471	C₂²×C₄×C₁₃	—	2	2	no	—
472	C₂²×C₄×C₁₃	—	2	2	no	—
473	C₂²×C₄×C₁₃	—	2	2	no	—
474	C₂²×C₄×C₁₃	—	2	2	no	—
475	C₂²×C₄×C₁₃	—	2	2	no	—
476	C₂²×C₄×C₁₃	—	2	2	no	—
477	C₂²×C₄×C₁₃	—	2	2	no	—
478	C₂²×C₄×C₁₃	—	2	2	no	—
479	C₂²×C₄×C₁₃	—	2	2	no	—
480	C₂²×C₄×C₁₃	—	2	2	no	—
481	C₂²×C₄×C₁₃	—	2	2	no	—
482	C₂²×C₄×C₁₃	—	2	2	no	—
483	C₂²×C₄×C₁₃	—	2	2	no	—
484	C₂²×C₄×C₁₃	—	2	2	no	—
485	C₂²×C₄×C₁₃	—	2	2	no	—
486	C₂²×C₄×C₁₃	—	2	2	no	—
487	C₂²×C₄×C₁₃	—	4	1	no	—
488	C₂²×C₄×C₁₃	—	4	1	no	—
489	C₂²×C₄×C₁₃	—	4	1	no	—
490	C₂²×C₄×C₁₃	—	4	1	no	—
491	C₂²×C₄×C₁₃	—	4	1	no	—
492	C₂²×C₄×C₁₃	—	4	1	no	—
493	C₂²×C₄×C₁₃	—	4	1	no	—
494	C₂²×C₄×C₁₃	—	4	1	no	—
495	C₂²×C₄×C₁₃	—	4	1	no	—
496	C₂²×C₄×C₁₃	—	4	16	no	—
497	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
498	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
499	C₂²×C₄×C₁₃	#41	1	4	yes	complemented
500	C₂²×C₄×C₁₃	#41	1	4	yes	complemented
501	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
526	C₁₃×C₄⋊C₄	—	2	2	no	—
527	C₁₃×C₄⋊C₄	—	2	2	no	—
528	C₁₃×C₄⋊C₄	—	2	2	no	—
529	C₁₃×C₄⋊C₄	—	2	2	no	—
530	C₁₃×C₄⋊C₄	—	2	2	no	—
531	C₁₃×C₄⋊C₄	—	2	2	no	—
532	C₁₃×C₄⋊C₄	—	2	2	no	—
533	C₁₃×C₄⋊C₄	—	2	2	no	—
534	C₁₃×C₄⋊C₄	—	2	2	no	—
535	C₁₃×C₄⋊C₄	—	2	2	no	—
536	C₁₃×C₄⋊C₄	—	2	2	no	—
537	C₁₃×C₄⋊C₄	—	2	2	no	—
538	C₁₃×C₄⋊C₄	—	2	2	no	—
539	C₁₃×C₄⋊C₄	—	2	2	no	—
540	C₁₃×C₄⋊C₄	—	2	2	no	—
541	C₁₃×C₄⋊C₄	—	2	2	no	—
542	C₁₃×C₄⋊C₄	—	2	2	no	—
543	C₁₃×C₄⋊C₄	—	4	1	no	—
544	C₁₃×C₄⋊C₄	—	4	1	no	—
545	C₁₃×C₄⋊C₄	—	4	1	no	—
546	C₁₃×C₄⋊C₄	—	4	1	no	—
547	C₁₃×C₄⋊C₄	—	4	1	no	—
548	C₁₃×C₄⋊C₄	—	4	1	no	—
549	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
550	C₁₃×C₂²⋊C₄	—	2	2	no	—
551	C₁₃×C₂²⋊C₄	—	2	2	no	—
552	C₁₃×C₂²⋊C₄	—	2	2	no	—
553	C₁₃×C₂²⋊C₄	—	2	2	no	—
554	C₁₃×C₂²⋊C₄	—	2	2	no	—
555	C₁₃×C₂²⋊C₄	—	2	2	no	—
556	C₁₃×C₂²⋊C₄	—	2	2	no	—
557	C₁₃×C₂²⋊C₄	—	2	2	no	—
558	C₁₃×C₂²⋊C₄	—	2	2	no	—
559	C₁₃×C₂²⋊C₄	—	2	2	no	—
560	C₁₃×C₂²⋊C₄	—	2	2	no	—
561	C₁₃×C₂²⋊C₄	—	2	2	no	—
562	C₁₃×C₂²⋊C₄	—	2	2	no	—
563	C₁₃×C₂²⋊C₄	—	2	2	no	—
564	C₁₃×C₂²⋊C₄	—	2	2	no	—
565	C₁₃×C₂²⋊C₄	—	2	2	no	—
566	C₁₃×C₂²⋊C₄	—	2	2	no	—
567	C₁₃×C₂²⋊C₄	—	2	2	no	—
568	C₁₃×C₂²⋊C₄	—	2	2	no	—
569	C₁₃×C₂²⋊C₄	—	2	2	no	—
570	C₁₃×C₂²⋊C₄	—	2	2	no	—
571	C₁₃×C₂²⋊C₄	—	2	2	no	—
572	C₁₃×C₂²⋊C₄	—	2	2	no	—
573	C₁₃×C₂²⋊C₄	—	2	2	no	—
574	C₁₃×C₂²⋊C₄	—	2	2	no	—
575	C₁₃×C₂²⋊C₄	—	2	2	no	—
576	C₁₃×C₂²⋊C₄	—	2	2	no	—
577	C₁₃×C₂²⋊C₄	—	2	2	no	—
578	C₁₃×C₂²⋊C₄	—	2	2	no	—
579	C₁₃×C₂²⋊C₄	—	2	2	no	—
580	C₁₃×C₂²⋊C₄	—	2	2	no	—
581	C₁₃×C₂²⋊C₄	—	2	2	no	—
582	C₁₃×C₂²⋊C₄	—	4	1	no	—
583	C₁₃×C₂²⋊C₄	—	4	1	no	—
584	C₁₃×C₂²⋊C₄	—	4	1	no	—
585	C₁₃×C₂²⋊C₄	—	4	1	no	—
586	C₁₃×C₂²⋊C₄	—	4	1	no	—
587	C₁₃×C₂²⋊C₄	—	4	1	no	—
588	C₁₃×C₂²⋊C₄	—	4	1	no	—
589	C₁₃×C₂²⋊C₄	—	4	1	no	—
590	C₁₃×C₂²⋊C₄	—	4	1	no	—
591	C₁₃×C₂²⋊C₄	—	4	1	no	—
592	C₁₃×C₂²⋊C₄	—	4	1	no	—
593	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
594	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
595	C₁₃×C₂²⋊C₄	#41	1	4	yes	complemented
596	C₄²×C₁₃	—	2	2	no	—
597	C₄²×C₁₃	—	2	2	no	—
598	C₄²×C₁₃	—	2	2	no	—
599	C₄²×C₁₃	—	2	2	no	—
600	C₄²×C₁₃	—	2	2	no	—
601	C₄²×C₁₃	—	2	2	no	—
602	C₄²×C₁₃	—	2	2	no	—
603	C₄²×C₁₃	—	2	2	no	—
604	C₄²×C₁₃	—	2	2	no	—
605	C₄²×C₁₃	—	2	2	no	—
606	C₄²×C₁₃	—	2	2	no	—
607	C₄²×C₁₃	—	2	2	no	—
608	C₄²×C₁₃	—	2	2	no	—
609	C₄²×C₁₃	—	2	2	no	—
610	C₄²×C₁₃	—	4	1	no	—
611	C₄²×C₁₃	—	4	1	no	—
612	C₄²×C₁₃	C₂×D₄	1	4	yes	—
613	C₂×#525	C₂×C₁₃	1	1	yes	characteristic, complemented
614	C₂×C₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
615	#2477	C₂×C₁₃	1	1	yes	characteristic, complemented
616	#2476	C₂×C₁₃	1	1	yes	characteristic, complemented
617	#2471	C₂×C₁₃	1	1	yes	characteristic, complemented
618	#2470	C₂×C₁₃	1	1	yes	characteristic, complemented
619	#2465	C₂×C₁₃	1	1	yes	characteristic, complemented
620	#2464	C₂×C₁₃	1	1	yes	characteristic, complemented
621	#2458	C₂×C₁₃	1	1	yes	characteristic, complemented
622	#2457	C₂×C₁₃	1	1	yes	characteristic, complemented
623	#2450	C₂×C₁₃	1	1	yes	characteristic, complemented
624	#2444	C₂×C₁₃	1	1	yes	characteristic, complemented
625	#2438	C₂×C₁₃	1	1	yes	characteristic, complemented
626	#2430	C₂×C₁₃	1	1	yes	characteristic, complemented
627	#2424	C₂×C₁₃	1	1	yes	characteristic, complemented
628	#2418	C₂×C₁₃	1	1	yes	characteristic, complemented
629	#2411	C₂×C₁₃	1	1	yes	characteristic, complemented
630	#2404	C₂×C₁₃	1	1	yes	characteristic, complemented
631	#2398	C₂×C₁₃	1	1	yes	characteristic, complemented
632	#2396	C₂×C₁₃	1	1	yes	characteristic, complemented
633	#2392	C₂×C₁₃	1	1	yes	characteristic, complemented
634	#2388	C₂×C₁₃	1	1	yes	characteristic, complemented
635	C₄×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
636	C₄×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
637	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
638	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
639	C₄×#120	C₂×C₁₃	1	1	yes	characteristic, complemented
640	#2297	C₂×C₁₃	1	1	yes	characteristic, complemented
641	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
642	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
643	C₂×C₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
644	C₂³×C₁₃	—	2	1	no	—
645	C₂³×C₁₃	—	2	1	no	—
646	C₂³×C₁₃	—	2	1	no	—
647	C₂³×C₁₃	—	2	1	no	—
648	C₂³×C₁₃	—	2	8	no	—
649	C₂³×C₁₃	—	2	1	no	—
650	C₂³×C₁₃	—	2	1	no	—
651	C₂³×C₁₃	—	2	1	no	—
652	C₂³×C₁₃	—	2	1	no	—
653	C₂³×C₁₃	—	2	1	no	—
654	C₂³×C₁₃	—	2	1	no	—
655	C₂³×C₁₃	—	2	1	no	—
656	C₂³×C₁₃	—	2	1	no	—
657	C₂³×C₁₃	—	2	1	no	—
658	C₂³×C₁₃	—	2	1	no	—
659	C₂³×C₁₃	—	2	1	no	—
660	C₂³×C₁₃	—	2	1	no	—
661	C₂³×C₁₃	—	2	1	no	—
662	C₂³×C₁₃	—	2	1	no	—
663	C₂³×C₁₃	—	2	1	no	—
664	C₂³×C₁₃	—	2	1	no	—
665	C₂³×C₁₃	—	2	1	no	—
666	C₂³×C₁₃	—	2	1	no	—
667	C₂³×C₁₃	—	2	1	no	—
668	C₂³×C₁₃	—	2	1	no	—
669	C₂³×C₁₃	—	2	1	no	—
670	C₂³×C₁₃	—	2	1	no	—
671	C₂³×C₁₃	—	2	1	no	—
672	C₂³×C₁₃	—	2	1	no	—
673	C₂³×C₁₃	—	2	1	no	—
674	C₂³×C₁₃	—	2	1	no	—
675	C₂³×C₁₃	—	2	1	no	—
676	C₂³×C₁₃	—	2	1	no	—
677	C₂³×C₁₃	—	2	1	no	—
678	C₂³×C₁₃	—	2	1	no	—
679	C₂³×C₁₃	—	2	1	no	—
680	C₂³×C₁₃	—	4	4	no	—
681	C₂³×C₁₃	—	4	4	no	—
682	C₂³×C₁₃	—	4	4	no	—
683	C₂³×C₁₃	—	4	4	no	—
684	C₂³×C₁₃	—	4	4	no	—
685	C₂³×C₁₃	—	4	4	no	—
686	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
687	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
688	C₂³×C₁₃	C₂×#41	1	2	yes	—
689	C₂³×C₁₃	C₂×#41	1	2	yes	—
690	C₂³×C₁₃	C₂×#41	1	2	yes	—
691	C₂³×C₁₃	C₂×#41	1	2	yes	—
692	C₂³×C₁₃	C₂×#41	1	2	yes	—
693	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
694	Q₈×C₁₃	—	2	8	no	—
695	Q₈×C₁₃	—	4	4	no	—
696	D₄×C₁₃	—	2	8	no	—
697	D₄×C₁₃	—	2	8	no	—
698	D₄×C₁₃	—	2	8	no	—
699	D₄×C₁₃	—	4	4	no	—
700	D₄×C₁₃	—	4	4	no	—
701	D₄×C₁₃	—	4	4	no	—
702	D₄×C₁₃	—	4	4	no	—
703	D₄×C₁₃	—	4	4	no	—
704	D₄×C₁₃	—	4	4	no	—
705	D₄×C₁₃	—	4	4	no	—
706	D₄×C₁₃	—	4	4	no	—
707	D₄×C₁₃	—	4	4	no	—
708	C₂×C₄×C₁₃	—	2	8	no	—
709	C₂×C₄×C₁₃	—	2	8	no	—
710	C₂×C₄×C₁₃	—	2	8	no	—
711	C₂×C₄×C₁₃	—	2	1	no	—
712	C₂×C₄×C₁₃	—	2	1	no	—
713	C₂×C₄×C₁₃	—	2	1	no	—
714	C₂×C₄×C₁₃	—	2	1	no	—
715	C₂×C₄×C₁₃	—	2	1	no	—
716	C₂×C₄×C₁₃	—	2	1	no	—
717	C₂×C₄×C₁₃	—	2	1	no	—
718	C₂×C₄×C₁₃	—	2	1	no	—
719	C₂×C₄×C₁₃	—	2	1	no	—
720	C₂×C₄×C₁₃	—	2	1	no	—
721	C₂×C₄×C₁₃	—	2	1	no	—
722	C₂×C₄×C₁₃	—	2	1	no	—
723	C₂×C₄×C₁₃	—	2	1	no	—
724	C₂×C₄×C₁₃	—	2	1	no	—
725	C₂×C₄×C₁₃	—	2	1	no	—
726	C₂×C₄×C₁₃	—	2	1	no	—
727	C₂×C₄×C₁₃	—	2	1	no	—
728	C₂×C₄×C₁₃	—	2	1	no	—
729	C₂×C₄×C₁₃	—	2	1	no	—
730	C₂×C₄×C₁₃	—	2	1	no	—
731	C₂×C₄×C₁₃	—	2	8	no	—
732	C₂×C₄×C₁₃	—	2	8	no	—
733	C₂×C₄×C₁₃	—	2	8	no	—
734	C₂×C₄×C₁₃	—	2	1	no	—
735	C₂×C₄×C₁₃	—	2	1	no	—
736	C₂×C₄×C₁₃	—	2	1	no	—
737	C₂×C₄×C₁₃	—	2	1	no	—
738	C₂×C₄×C₁₃	—	2	1	no	—
739	C₂×C₄×C₁₃	—	2	1	no	—
740	C₂×C₄×C₁₃	—	2	1	no	—
741	C₂×C₄×C₁₃	—	2	1	no	—
742	C₂×C₄×C₁₃	—	2	1	no	—
743	C₂×C₄×C₁₃	—	2	1	no	—
744	C₂×C₄×C₁₃	—	2	1	no	—
745	C₂×C₄×C₁₃	—	2	1	no	—
746	C₂×C₄×C₁₃	—	2	1	no	—
747	C₂×C₄×C₁₃	—	2	1	no	—
748	C₂×C₄×C₁₃	—	2	1	no	—
749	C₂×C₄×C₁₃	—	2	1	no	—
750	C₂×C₄×C₁₃	—	2	1	no	—
751	C₂×C₄×C₁₃	—	2	1	no	—
752	C₂×C₄×C₁₃	—	2	1	no	—
753	C₂×C₄×C₁₃	—	2	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	2	1	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	2	1	no	—
761	C₂×C₄×C₁₃	—	2	1	no	—
762	C₂×C₄×C₁₃	—	2	1	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	4	4	no	—
777	C₂×C₄×C₁₃	—	4	4	no	—
778	C₂×C₄×C₁₃	—	4	4	no	—
779	C₂×C₄×C₁₃	—	4	4	no	—
780	C₂×C₄×C₁₃	—	4	4	no	—
781	C₂×C₄×C₁₃	—	4	4	no	—
782	C₂×C₄×C₁₃	—	4	4	no	—
783	C₂×C₄×C₁₃	—	4	4	no	—
784	C₂×C₄×C₁₃	—	4	4	no	—
785	C₂×C₄×C₁₃	—	4	4	no	—
786	C₂×C₄×C₁₃	—	4	4	no	—
787	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
788	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
789	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
790	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
791	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
792	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
793	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
794	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
795	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
796	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
797	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
798	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
799	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
800	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
801	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
802	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
803	#525	—	2	8	no	—
804	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
805	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
806	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
807	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
808	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
809	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
810	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
811	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
812	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
813	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
814	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
815	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
816	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
817	C₄×#41	—	2	8	no	—
818	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
819	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
820	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
821	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
822	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
823	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
824	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
825	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
826	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
827	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
828	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
829	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
830	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
831	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
832	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
833	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
834	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
837	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
838	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
839	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
840	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
841	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
842	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
843	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
844	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
845	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
846	#399	C₂²×C₁₃	1	1	yes	characteristic
847	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
848	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
849	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	#397	C₂²×C₁₃	1	1	yes	characteristic
851	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#396	C₂²×C₁₃	1	1	yes	characteristic
854	#396	C₂²×C₁₃	1	1	yes	characteristic
855	#396	C₂²×C₁₃	1	1	yes	characteristic
856	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
858	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#394	C₂²×C₁₃	1	1	yes	characteristic
860	#394	C₂²×C₁₃	1	1	yes	characteristic
861	#394	C₂²×C₁₃	1	1	yes	characteristic
862	#394	C₂²×C₁₃	1	1	yes	characteristic
863	#394	C₂²×C₁₃	1	1	yes	characteristic
864	#394	C₂²×C₁₃	1	1	yes	characteristic
865	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#393	C₂²×C₁₃	1	1	yes	characteristic
868	#393	C₂²×C₁₃	1	1	yes	characteristic
869	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#392	C₂²×C₁₃	1	1	yes	characteristic
872	#392	C₂²×C₁₃	1	1	yes	characteristic
873	#392	C₂²×C₁₃	1	1	yes	characteristic
874	#392	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
876	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#390	C₂²×C₁₃	1	1	yes	characteristic
878	#390	C₂²×C₁₃	1	1	yes	characteristic
879	#390	C₂²×C₁₃	1	1	yes	characteristic
880	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#388	C₂²×C₁₃	1	1	yes	characteristic
884	#388	C₂²×C₁₃	1	1	yes	characteristic
885	#388	C₂²×C₁₃	1	1	yes	characteristic
886	#388	C₂²×C₁₃	1	1	yes	characteristic
887	#388	C₂²×C₁₃	1	1	yes	characteristic
888	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
893	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
894	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
895	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
898	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
899	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
900	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#386	C₂²×C₁₃	1	1	yes	characteristic
904	#386	C₂²×C₁₃	1	1	yes	characteristic
905	#386	C₂²×C₁₃	1	1	yes	characteristic
906	#386	C₂²×C₁₃	1	1	yes	characteristic
907	#386	C₂²×C₁₃	1	1	yes	characteristic
908	#386	C₂²×C₁₃	1	1	yes	characteristic
909	#386	C₂²×C₁₃	1	1	yes	characteristic
910	#386	C₂²×C₁₃	1	1	yes	characteristic
911	#386	C₂²×C₁₃	1	1	yes	characteristic
912	#386	C₂²×C₁₃	1	1	yes	characteristic
913	#386	C₂²×C₁₃	1	1	yes	characteristic
914	#386	C₂²×C₁₃	1	1	yes	characteristic
915	#386	C₂²×C₁₃	1	1	yes	characteristic
916	#386	C₂²×C₁₃	1	1	yes	characteristic
917	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
918	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#385	C₂²×C₁₃	1	1	yes	characteristic
921	#385	C₂²×C₁₃	1	1	yes	characteristic
922	#385	C₂²×C₁₃	1	1	yes	characteristic
923	#385	C₂²×C₁₃	1	1	yes	characteristic
924	#385	C₂²×C₁₃	1	1	yes	characteristic
925	#385	C₂²×C₁₃	1	1	yes	characteristic
926	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#381	C₂²×C₁₃	1	1	yes	characteristic
930	#381	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#380	C₂²×C₁₃	1	1	yes	characteristic
932	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#379	C₂²×C₁₃	1	1	yes	characteristic
934	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
936	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
937	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
938	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
939	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
940	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
941	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
942	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
943	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
944	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
945	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
946	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
947	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
948	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
949	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
950	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
951	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#376	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
956	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
957	C₂²×C₁₃	—	2	2	no	—
958	C₂²×C₁₃	—	2	2	no	—
959	C₂²×C₁₃	—	2	2	no	—
960	C₂²×C₁₃	—	2	2	no	—
961	C₂²×C₁₃	—	2	2	no	—
962	C₂²×C₁₃	—	2	2	no	—
963	C₂²×C₁₃	—	2	2	no	—
964	C₂²×C₁₃	—	2	2	no	—
965	C₂²×C₁₃	—	2	2	no	—
966	C₂²×C₁₃	—	2	2	no	—
967	C₂²×C₁₃	—	2	2	no	—
968	C₂²×C₁₃	—	2	2	no	—
969	C₂²×C₁₃	—	2	2	no	—
970	C₂²×C₁₃	—	2	2	no	—
971	C₂²×C₁₃	—	2	2	no	—
972	C₂²×C₁₃	—	2	2	no	—
973	C₂²×C₁₃	—	2	2	no	—
974	C₂²×C₁₃	—	2	2	no	—
975	C₂²×C₁₃	—	4	16	no	—
976	C₂²×C₁₃	—	4	1	no	—
977	C₂²×C₁₃	—	4	1	no	—
978	C₂²×C₁₃	—	4	1	no	—
979	C₂²×C₁₃	—	4	1	no	—
980	C₂²×C₁₃	—	4	1	no	—
981	C₂²×C₁₃	—	4	1	no	—
982	C₂²×C₁₃	—	4	1	no	—
983	C₂²×C₁₃	—	4	1	no	—
984	C₂²×C₁₃	—	4	1	no	—
985	C₂²×C₁₃	—	4	1	no	—
986	C₂²×C₁₃	—	4	1	no	—
987	C₂²×C₁₃	—	4	1	no	—
988	C₂²×C₁₃	—	4	1	no	—
989	C₂²×C₁₃	—	4	1	no	—
990	C₂²×C₁₃	—	4	1	no	—
991	C₂²×C₁₃	—	4	1	no	—
992	C₂²×C₁₃	—	4	1	no	—
993	C₂²×C₁₃	—	4	1	no	—
994	C₂²×C₁₃	—	4	1	no	—
995	C₂²×C₁₃	—	4	1	no	—
996	C₂²×C₁₃	—	4	1	no	—
997	C₂²×C₁₃	—	4	1	no	—
998	C₂²×C₁₃	—	4	1	no	—
999	C₂²×C₁₃	#525	1	4	yes	—
1000	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1001	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
1002	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
1003	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
1004	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
1005	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1006	C₂²×C₁₃	#585	1	1	yes	characteristic
1007	C₄×C₁₃	—	2	2	no	—
1008	C₄×C₁₃	—	2	2	no	—
1009	C₄×C₁₃	—	2	2	no	—
1010	C₄×C₁₃	—	2	2	no	—
1011	C₄×C₁₃	—	2	2	no	—
1012	C₄×C₁₃	—	2	2	no	—
1013	C₄×C₁₃	—	2	2	no	—
1014	C₄×C₁₃	—	2	2	no	—
1015	C₄×C₁₃	—	2	2	no	—
1016	C₄×C₁₃	—	2	2	no	—
1017	C₄×C₁₃	—	4	1	no	—
1018	C₄×C₁₃	—	4	1	no	—
1019	C₄×C₁₃	—	4	1	no	—
1020	C₄×C₁₃	—	4	1	no	—
1021	C₄×C₁₃	—	4	1	no	—
1022	C₄×C₁₃	—	4	1	no	—
1023	C₄×C₁₃	—	4	1	no	—
1024	C₄×C₁₃	—	4	1	no	—
1025	C₄×C₁₃	—	4	1	no	—
1026	C₄×C₁₃	—	4	1	no	—
1027	C₄×C₁₃	—	4	1	no	—
1028	C₄×C₁₃	—	4	1	no	—
1029	C₄×C₁₃	—	4	1	no	—
1030	C₄×C₁₃	—	4	1	no	—
1031	C₄×C₁₃	#546	1	4	yes	—
1032	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×#41	—	2	4	no	—
1034	C₂×#41	—	2	4	no	—
1035	C₂×#41	—	2	4	no	—
1036	C₂×#41	—	2	4	no	—
1037	C₂×#41	—	2	4	no	—
1038	C₂×#41	—	4	2	no	—
1039	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂³×C₄	—	2	4	no	—
1054	C₂³×C₄	—	2	4	no	—
1055	C₂³×C₄	—	4	2	no	—
1056	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1073	#123	—	2	4	no	—
1074	#123	—	2	4	no	—
1075	#123	—	2	4	no	—
1076	#123	—	2	4	no	—
1077	C₂²⋊Q₈	—	2	4	no	—
1078	C₂²⋊Q₈	—	2	4	no	—
1079	#121	—	2	4	no	—
1080	#121	—	2	4	no	—
1081	#121	—	2	4	no	—
1082	#121	—	2	4	no	—
1083	#120	—	2	4	no	—
1084	#120	—	2	4	no	—
1085	#120	—	2	4	no	—
1086	C₄×Q₈	—	2	4	no	—
1087	C₄×Q₈	—	2	4	no	—
1088	C₄×D₄	—	2	4	no	—
1089	C₄×D₄	—	2	4	no	—
1090	C₄×D₄	—	2	4	no	—
1091	C₄×D₄	—	2	4	no	—
1092	C₄×D₄	—	2	4	no	—
1093	C₄×D₄	—	2	4	no	—
1094	C₄×D₄	—	2	4	no	—
1095	C₄×D₄	—	2	4	no	—
1096	C₄×D₄	—	2	4	no	—
1097	C₄×D₄	—	4	2	no	—
1098	C₄×D₄	—	4	2	no	—
1099	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
1100	#117	—	2	4	no	—
1101	#117	—	2	4	no	—
1102	#117	—	2	4	no	—
1103	#117	—	2	4	no	—
1104	#117	—	4	2	no	—
1105	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1106	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1107	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1108	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1109	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1110	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1111	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1112	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1114	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1115	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1116	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1117	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1118	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1119	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1120	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1121	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1122	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1123	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1124	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1125	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1126	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1127	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1128	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	—	2	4	no	—
1130	C₂×C₂²⋊C₄	—	2	4	no	—
1131	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1134	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1135	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1136	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1137	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1138	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1139	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1140	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1141	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1142	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1144	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1145	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1146	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1147	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1149	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1150	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1151	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1152	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1153	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1154	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1155	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1157	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1158	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1159	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1160	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1163	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1172	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1177	C₂×C₄²	—	2	4	no	—
1178	C₂×C₄²	—	2	4	no	—
1179	C₂×C₄²	—	2	4	no	—
1180	C₂×C₄²	—	4	2	no	—
1181	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1182	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1183	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1184	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1185	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1186	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1187	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1188	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1189	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1190	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1191	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1192	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1193	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1194	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1196	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1197	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1198	#95	C₂³×C₁₃	1	1	yes	characteristic
1199	#95	C₂³×C₁₃	1	1	yes	characteristic
1200	#95	C₂³×C₁₃	1	1	yes	characteristic
1201	#95	C₂³×C₁₃	1	1	yes	characteristic
1202	#95	C₂³×C₁₃	1	1	yes	characteristic
1203	#95	C₂³×C₁₃	1	1	yes	characteristic
1204	#95	C₂³×C₁₃	1	1	yes	characteristic
1205	#95	C₂³×C₁₃	1	1	yes	characteristic
1206	#95	C₂³×C₁₃	1	1	yes	characteristic
1207	#95	C₂³×C₁₃	1	1	yes	characteristic
1208	#95	C₂³×C₁₃	1	1	yes	characteristic
1209	#95	C₂³×C₁₃	1	1	yes	characteristic
1210	#95	C₂³×C₁₃	1	1	yes	characteristic
1211	#95	C₂³×C₁₃	1	1	yes	characteristic
1212	#95	C₂³×C₁₃	1	1	yes	characteristic
1213	#95	C₂³×C₁₃	1	1	yes	characteristic
1214	#95	C₂³×C₁₃	1	1	yes	characteristic
1215	#95	C₂³×C₁₃	1	1	yes	characteristic
1216	#95	C₂³×C₁₃	1	1	yes	characteristic
1217	#95	C₂³×C₁₃	1	1	yes	characteristic
1218	#95	C₂³×C₁₃	1	1	yes	characteristic
1219	#95	C₂³×C₁₃	1	1	yes	characteristic
1220	#95	C₂³×C₁₃	1	1	yes	characteristic
1221	#95	C₂³×C₁₃	1	1	yes	characteristic
1222	#95	C₂³×C₁₃	1	1	yes	characteristic
1223	#95	C₂³×C₁₃	1	1	yes	characteristic
1224	#95	C₂³×C₁₃	1	1	yes	characteristic
1225	#95	C₂³×C₁₃	1	1	yes	characteristic
1226	#95	C₂³×C₁₃	1	1	yes	characteristic
1227	#95	C₂³×C₁₃	1	1	yes	characteristic
1228	#95	C₂³×C₁₃	1	1	yes	characteristic
1229	#95	C₂³×C₁₃	1	1	yes	characteristic
1230	#95	C₂³×C₁₃	1	1	yes	characteristic
1231	#95	C₂³×C₁₃	1	1	yes	characteristic
1232	#95	C₂³×C₁₃	1	1	yes	characteristic
1233	#95	C₂³×C₁₃	1	1	yes	characteristic
1234	C₂×C₁₃	—	2	4	no	—
1235	C₂×C₁₃	—	4	2	no	—
1236	C₂×C₁₃	—	4	2	no	—
1237	C₂×C₁₃	—	4	2	no	—
1238	C₂×C₁₃	—	4	2	no	—
1239	C₂×C₁₃	—	8	1	no	—
1240	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1241	C₂×C₁₃	#3444	1	1	yes	characteristic
1242	C₂×C₁₃	#3460	1	1	yes	characteristic
1243	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1244	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1245	C₂×C₁₃	#3475	1	1	yes	characteristic
1246	C₂×C₁₃	#3481	1	1	yes	characteristic
1247	C₂⁴	—	2	2	no	—
1248	C₂⁴	—	2	2	no	—
1249	C₂⁴	—	2	2	no	—
1250	C₂⁴	—	2	2	no	—
1251	C₂⁴	—	2	2	no	—
1252	C₂⁴	—	4	1	no	—
1253	C₂⁴	—	4	1	no	—
1254	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1255	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1256	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1257	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1258	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1259	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1260	#41	—	2	32	no	—
1261	#41	—	4	16	no	—
1262	C₂×Q₈	—	2	2	no	—
1263	C₂×Q₈	—	2	2	no	—
1264	C₂×Q₈	—	2	2	no	—
1265	C₂×Q₈	—	2	2	no	—
1266	C₂×Q₈	—	2	2	no	—
1267	C₂×Q₈	—	4	1	no	—
1268	C₂×D₄	—	2	2	no	—
1269	C₂×D₄	—	2	2	no	—
1270	C₂×D₄	—	2	2	no	—
1271	C₂×D₄	—	2	2	no	—
1272	C₂×D₄	—	2	2	no	—
1273	C₂×D₄	—	2	2	no	—
1274	C₂×D₄	—	2	2	no	—
1275	C₂×D₄	—	2	2	no	—
1276	C₂×D₄	—	2	2	no	—
1277	C₂×D₄	—	2	2	no	—
1278	C₂×D₄	—	2	2	no	—
1279	C₂×D₄	—	2	2	no	—
1280	C₂×D₄	—	2	2	no	—
1281	C₂×D₄	—	2	2	no	—
1282	C₂×D₄	—	2	2	no	—
1283	C₂×D₄	—	2	2	no	—
1284	C₂×D₄	—	2	2	no	—
1285	C₂×D₄	—	2	2	no	—
1286	C₂×D₄	—	2	2	no	—
1287	C₂×D₄	—	2	2	no	—
1288	C₂×D₄	—	2	2	no	—
1289	C₂×D₄	—	2	2	no	—
1290	C₂×D₄	—	2	2	no	—
1291	C₂×D₄	—	2	2	no	—
1292	C₂×D₄	—	2	2	no	—
1293	C₂×D₄	—	2	2	no	—
1294	C₂×D₄	—	4	1	no	—
1295	C₂×D₄	—	4	1	no	—
1296	C₂×D₄	—	4	1	no	—
1297	C₂×D₄	—	4	1	no	—
1298	C₂×D₄	—	4	1	no	—
1299	C₂×D₄	—	4	1	no	—
1300	C₂×D₄	—	4	1	no	—
1301	C₂×D₄	—	4	1	no	—
1302	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
1303	C₂×D₄	C₁₃×#41	1	4	yes	complemented
1304	C₂²×C₄	—	2	2	no	—
1305	C₂²×C₄	—	2	2	no	—
1306	C₂²×C₄	—	2	2	no	—
1307	C₂²×C₄	—	2	2	no	—
1308	C₂²×C₄	—	2	2	no	—
1309	C₂²×C₄	—	2	2	no	—
1310	C₂²×C₄	—	2	2	no	—
1311	C₂²×C₄	—	2	2	no	—
1312	C₂²×C₄	—	2	2	no	—
1313	C₂²×C₄	—	2	2	no	—
1314	C₂²×C₄	—	2	2	no	—
1315	C₂²×C₄	—	2	2	no	—
1316	C₂²×C₄	—	2	2	no	—
1317	C₂²×C₄	—	2	2	no	—
1318	C₂²×C₄	—	2	2	no	—
1319	C₂²×C₄	—	2	2	no	—
1320	C₂²×C₄	—	2	2	no	—
1321	C₂²×C₄	—	2	2	no	—
1322	C₂²×C₄	—	2	2	no	—
1323	C₂²×C₄	—	2	2	no	—
1324	C₂²×C₄	—	2	2	no	—
1325	C₂²×C₄	—	2	2	no	—
1326	C₂²×C₄	—	2	2	no	—
1327	C₂²×C₄	—	2	2	no	—
1328	C₂²×C₄	—	2	2	no	—
1329	C₂²×C₄	—	2	2	no	—
1330	C₂²×C₄	—	2	2	no	—
1331	C₂²×C₄	—	2	2	no	—
1332	C₂²×C₄	—	2	2	no	—
1333	C₂²×C₄	—	2	2	no	—
1334	C₂²×C₄	—	2	2	no	—
1335	C₂²×C₄	—	2	2	no	—
1336	C₂²×C₄	—	2	2	no	—
1337	C₂²×C₄	—	2	2	no	—
1338	C₂²×C₄	—	2	2	no	—
1339	C₂²×C₄	—	2	2	no	—
1340	C₂²×C₄	—	2	2	no	—
1341	C₂²×C₄	—	2	2	no	—
1342	C₂²×C₄	—	4	1	no	—
1343	C₂²×C₄	—	4	1	no	—
1344	C₂²×C₄	—	4	1	no	—
1345	C₂²×C₄	—	4	1	no	—
1346	C₂²×C₄	—	4	1	no	—
1347	C₂²×C₄	—	4	1	no	—
1348	C₂²×C₄	—	4	1	no	—
1349	C₂²×C₄	—	4	1	no	—
1350	C₂²×C₄	—	4	1	no	—
1351	C₂²×C₄	—	4	16	no	—
1352	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
1353	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
1354	C₂²×C₄	C₁₃×#41	1	4	yes	complemented
1355	C₂²×C₄	C₁₃×#41	1	4	yes	complemented
1356	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1357	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1358	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1359	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1360	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1361	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1362	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1363	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1367	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1368	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1370	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1371	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1372	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1373	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1374	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1375	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1376	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1377	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1379	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1380	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1381	C₄⋊C₄	—	2	2	no	—
1382	C₄⋊C₄	—	2	2	no	—
1383	C₄⋊C₄	—	2	2	no	—
1384	C₄⋊C₄	—	2	2	no	—
1385	C₄⋊C₄	—	2	2	no	—
1386	C₄⋊C₄	—	2	2	no	—
1387	C₄⋊C₄	—	2	2	no	—
1388	C₄⋊C₄	—	2	2	no	—
1389	C₄⋊C₄	—	2	2	no	—
1390	C₄⋊C₄	—	2	2	no	—
1391	C₄⋊C₄	—	2	2	no	—
1392	C₄⋊C₄	—	2	2	no	—
1393	C₄⋊C₄	—	2	2	no	—
1394	C₄⋊C₄	—	2	2	no	—
1395	C₄⋊C₄	—	2	2	no	—
1396	C₄⋊C₄	—	2	2	no	—
1397	C₄⋊C₄	—	2	2	no	—
1398	C₄⋊C₄	—	4	1	no	—
1399	C₄⋊C₄	—	4	1	no	—
1400	C₄⋊C₄	—	4	1	no	—
1401	C₄⋊C₄	—	4	1	no	—
1402	C₄⋊C₄	—	4	1	no	—
1403	C₄⋊C₄	—	4	1	no	—
1404	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
1405	C₂²⋊C₄	—	2	2	no	—
1406	C₂²⋊C₄	—	2	2	no	—
1407	C₂²⋊C₄	—	2	2	no	—
1408	C₂²⋊C₄	—	2	2	no	—
1409	C₂²⋊C₄	—	2	2	no	—
1410	C₂²⋊C₄	—	2	2	no	—
1411	C₂²⋊C₄	—	2	2	no	—
1412	C₂²⋊C₄	—	2	2	no	—
1413	C₂²⋊C₄	—	2	2	no	—
1414	C₂²⋊C₄	—	2	2	no	—
1415	C₂²⋊C₄	—	2	2	no	—
1416	C₂²⋊C₄	—	2	2	no	—
1417	C₂²⋊C₄	—	2	2	no	—
1418	C₂²⋊C₄	—	2	2	no	—
1419	C₂²⋊C₄	—	2	2	no	—
1420	C₂²⋊C₄	—	2	2	no	—
1421	C₂²⋊C₄	—	2	2	no	—
1422	C₂²⋊C₄	—	2	2	no	—
1423	C₂²⋊C₄	—	2	2	no	—
1424	C₂²⋊C₄	—	2	2	no	—
1425	C₂²⋊C₄	—	2	2	no	—
1426	C₂²⋊C₄	—	2	2	no	—
1427	C₂²⋊C₄	—	2	2	no	—
1428	C₂²⋊C₄	—	2	2	no	—
1429	C₂²⋊C₄	—	2	2	no	—
1430	C₂²⋊C₄	—	2	2	no	—
1431	C₂²⋊C₄	—	2	2	no	—
1432	C₂²⋊C₄	—	2	2	no	—
1433	C₂²⋊C₄	—	2	2	no	—
1434	C₂²⋊C₄	—	2	2	no	—
1435	C₂²⋊C₄	—	2	2	no	—
1436	C₂²⋊C₄	—	2	2	no	—
1437	C₂²⋊C₄	—	4	1	no	—
1438	C₂²⋊C₄	—	4	1	no	—
1439	C₂²⋊C₄	—	4	1	no	—
1440	C₂²⋊C₄	—	4	1	no	—
1441	C₂²⋊C₄	—	4	1	no	—
1442	C₂²⋊C₄	—	4	1	no	—
1443	C₂²⋊C₄	—	4	1	no	—
1444	C₂²⋊C₄	—	4	1	no	—
1445	C₂²⋊C₄	—	4	1	no	—
1446	C₂²⋊C₄	—	4	1	no	—
1447	C₂²⋊C₄	—	4	1	no	—
1448	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
1449	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
1450	C₂²⋊C₄	C₁₃×#41	1	4	yes	complemented
1451	C₄²	—	2	2	no	—
1452	C₄²	—	2	2	no	—
1453	C₄²	—	2	2	no	—
1454	C₄²	—	2	2	no	—
1455	C₄²	—	2	2	no	—
1456	C₄²	—	2	2	no	—
1457	C₄²	—	2	2	no	—
1458	C₄²	—	2	2	no	—
1459	C₄²	—	2	2	no	—
1460	C₄²	—	2	2	no	—
1461	C₄²	—	2	2	no	—
1462	C₄²	—	2	2	no	—
1463	C₄²	—	2	2	no	—
1464	C₄²	—	2	2	no	—
1465	C₄²	—	4	1	no	—
1466	C₄²	—	4	1	no	—
1467	C₄²	C₂×D₄×C₁₃	1	4	yes	—
1468	C₁₃	#34732	1	1	yes	characteristic, direct product factor, Sylow
1469	C₂³	—	2	1	no	—
1470	C₂³	—	2	1	no	—
1471	C₂³	—	2	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	8	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	2	1	no	—
1485	C₂³	—	2	1	no	—
1486	C₂³	—	2	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	2	1	no	—
1491	C₂³	—	2	1	no	—
1492	C₂³	—	2	1	no	—
1493	C₂³	—	2	1	no	—
1494	C₂³	—	2	1	no	—
1495	C₂³	—	2	1	no	—
1496	C₂³	—	2	1	no	—
1497	C₂³	—	2	1	no	—
1498	C₂³	—	2	1	no	—
1499	C₂³	—	2	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	4	4	no	—
1506	C₂³	—	4	4	no	—
1507	C₂³	—	4	4	no	—
1508	C₂³	—	4	4	no	—
1509	C₂³	—	4	4	no	—
1510	C₂³	—	4	4	no	—
1511	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1512	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1513	C₂³	C₂×C₁₃×#41	1	2	yes	—
1514	C₂³	C₂×C₁₃×#41	1	2	yes	—
1515	C₂³	C₂×C₁₃×#41	1	2	yes	—
1516	C₂³	C₂×C₁₃×#41	1	2	yes	—
1517	C₂³	C₂×C₁₃×#41	1	2	yes	—
1518	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1519	Q₈	—	2	8	no	—
1520	Q₈	—	4	4	no	—
1521	D₄	—	2	8	no	—
1522	D₄	—	2	8	no	—
1523	D₄	—	2	8	no	—
1524	D₄	—	4	4	no	—
1525	D₄	—	4	4	no	—
1526	D₄	—	4	4	no	—
1527	D₄	—	4	4	no	—
1528	D₄	—	4	4	no	—
1529	D₄	—	4	4	no	—
1530	D₄	—	4	4	no	—
1531	D₄	—	4	4	no	—
1532	D₄	—	4	4	no	—
1533	C₂×C₄	—	2	8	no	—
1534	C₂×C₄	—	2	8	no	—
1535	C₂×C₄	—	2	8	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	8	no	—
1557	C₂×C₄	—	2	8	no	—
1558	C₂×C₄	—	2	8	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	4	4	no	—
1602	C₂×C₄	—	4	4	no	—
1603	C₂×C₄	—	4	4	no	—
1604	C₂×C₄	—	4	4	no	—
1605	C₂×C₄	—	4	4	no	—
1606	C₂×C₄	—	4	4	no	—
1607	C₂×C₄	—	4	4	no	—
1608	C₂×C₄	—	4	4	no	—
1609	C₂×C₄	—	4	4	no	—
1610	C₂×C₄	—	4	4	no	—
1611	C₂×C₄	—	4	4	no	—
1612	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1613	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1614	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1615	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1616	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1617	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1618	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1619	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1620	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1621	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1622	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1623	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1624	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1625	C₂²	—	2	2	no	—
1626	C₂²	—	2	2	no	—
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	2	no	—
1630	C₂²	—	2	2	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	2	2	no	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	2	no	—
1642	C₂²	—	2	2	no	—
1643	C₂²	—	4	16	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	4	1	no	—
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	C₁₃×#525	1	4	yes	—
1668	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1669	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1670	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1671	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1672	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1673	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1674	C₂²	C₁₃×#585	1	1	yes	characteristic
1675	C₄	—	2	2	no	—
1676	C₄	—	2	2	no	—
1677	C₄	—	2	2	no	—
1678	C₄	—	2	2	no	—
1679	C₄	—	2	2	no	—
1680	C₄	—	2	2	no	—
1681	C₄	—	2	2	no	—
1682	C₄	—	2	2	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	2	2	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	C₁₃×#546	1	4	yes	—
1700	C₂	—	2	4	no	—
1701	C₂	—	4	2	no	—
1702	C₂	—	4	2	no	—
1703	C₂	—	4	2	no	—
1704	C₂	—	4	2	no	—
1705	C₂	—	8	1	no	—
1706	C₂	C₂×C₁₃×#525	1	1	yes	characteristic
1707	C₂	C₁₃×#3444	1	1	yes	characteristic
1708	C₂	C₁₃×#3460	1	1	yes	characteristic
1709	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1710	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1711	C₂	C₁₃×#3475	1	1	yes	characteristic
1712	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
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. C₂×C₁₃×#525	C₂	semidirect
2. C₂×C₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#2477	C₂	semidirect
4. C₁₃×#2476	C₂	semidirect
5. C₁₃×#2471	C₂	semidirect
6. C₁₃×#2470	C₂	semidirect
7. C₁₃×#2465	C₂	semidirect
8. C₁₃×#2464	C₂	semidirect
9. C₁₃×#2458	C₂	semidirect
10. C₁₃×#2457	C₂	semidirect
11. C₁₃×#2450	C₂	semidirect
12. C₁₃×#2444	C₂	semidirect
13. C₁₃×#2438	C₂	semidirect
14. C₁₃×#2430	C₂	semidirect
15. C₁₃×#2424	C₂	semidirect
16. C₁₃×#2418	C₂	semidirect
17. C₁₃×#2411	C₂	semidirect
18. C₁₃×#2404	C₂	semidirect
19. C₁₃×#2398	C₂	semidirect
20. C₁₃×#2396	C₂	semidirect
21. C₁₃×#2392	C₂	semidirect
22. C₁₃×#2388	C₂	semidirect
23. C₄×C₁₃×#123	C₂	semidirect
24. C₄×C₁₃×#123	C₂	semidirect
25. C₄×C₁₃×#121	C₂	semidirect
26. C₄×C₁₃×#121	C₂	semidirect
27. C₄×C₁₃×#120	C₂	semidirect
28. C₁₃×#2297	C₂	semidirect
29. C₁₃×#2290	C₂	semidirect
30. C₁₃×#2290	C₂	semidirect
31. C₂×C₄×C₁₃×C₂²⋊C₄	C₂	semidirect
50. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
51. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
61. C₂×C₄×D₄×C₁₃	C₂²	semidirect
62. C₂×C₄×D₄×C₁₃	C₂²	semidirect
63. C₂×C₄×D₄×C₁₃	C₂²	semidirect
66. C₂×C₁₃×#117	C₂²	semidirect
67. C₂×C₁₃×#117	C₂²	semidirect
68. C₂×C₁₃×#117	C₂²	semidirect
73. C₂²×C₄²×C₁₃	C₂²	semidirect
74. C₂²×C₄²×C₁₃	C₂²	semidirect
75. C₁₃×#400	C₂²	semidirect
76. C₁₃×#400	C₂²	semidirect
77. C₁₃×#400	C₂²	semidirect
79. C₁₃×#398	C₂²	semidirect
80. C₁₃×#398	C₂²	semidirect
81. C₁₃×#398	C₂²	semidirect
83. C₁₃×#397	C₂²	semidirect
84. C₁₃×#397	C₂²	semidirect
88. C₁₃×#396	C₂²	semidirect
89. C₁₃×#395	C₂²	semidirect
90. C₁₃×#395	C₂²	semidirect
97. C₁₃×#394	C₂²	semidirect
98. C₁₃×#394	C₂²	semidirect
101. C₁₃×#393	C₂²	semidirect
102. C₁₃×#393	C₂²	semidirect
106. C₁₃×#392	C₂²	semidirect
107. C₁₃×#391	C₂²	semidirect
108. C₁₃×#391	C₂²	semidirect
112. C₁₃×#390	C₂²	semidirect
113. C₁₃×#389	C₂²	semidirect
114. C₁₃×#389	C₂²	semidirect
120. C₁₃×#388	C₂²	semidirect
121. C₁₃×#388	C₂²	semidirect
122. C₁₃×#388	C₂²	semidirect
123. C₁₃×#388	C₂²	semidirect
124. C₁₃×#388	C₂²	semidirect
125. C₁₃×#388	C₂²	semidirect
126. C₁₃×#388	C₂²	semidirect
127. C₁₃×#387	C₂²	semidirect
128. C₁₃×#387	C₂²	semidirect
129. C₁₃×#387	C₂²	semidirect
130. C₁₃×#387	C₂²	semidirect
131. C₁₃×#387	C₂²	semidirect
132. C₁₃×#387	C₂²	semidirect
133. C₁₃×#387	C₂²	semidirect
134. C₁₃×#387	C₂²	semidirect
149. C₁₃×#386	C₂²	semidirect
150. C₁₃×#386	C₂²	semidirect
151. C₁₃×#386	C₂²	semidirect
158. C₁₃×#385	C₂²	semidirect
159. C₁₃×#385	C₂²	semidirect
160. C₁₃×#385	C₂²	semidirect
162. C₁₃×#381	C₂²	semidirect
164. C₁₃×#380	C₂²	semidirect
166. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
167. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
168. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
169. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
181. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
182. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
184. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
185. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
186. C₁₃×#376	C₂²	semidirect
256. C₄×D₄×C₁₃	D₄	semidirect
391. #34732	C₁₃	direct (N × H)
448. C₂×D₄×C₁₃	#41	semidirect
499. C₂²×C₄×C₁₃	#41	semidirect
500. C₂²×C₄×C₁₃	#41	semidirect
595. C₁₃×C₂²⋊C₄	#41	semidirect
613. C₂×#525	C₂×C₁₃	semidirect
614. C₂×C₄×#41	C₂×C₁₃	semidirect
615. #2477	C₂×C₁₃	semidirect
616. #2476	C₂×C₁₃	semidirect
617. #2471	C₂×C₁₃	semidirect
618. #2470	C₂×C₁₃	semidirect
619. #2465	C₂×C₁₃	semidirect
620. #2464	C₂×C₁₃	semidirect
621. #2458	C₂×C₁₃	semidirect
622. #2457	C₂×C₁₃	semidirect
623. #2450	C₂×C₁₃	semidirect
624. #2444	C₂×C₁₃	semidirect
625. #2438	C₂×C₁₃	semidirect
626. #2430	C₂×C₁₃	semidirect
627. #2424	C₂×C₁₃	semidirect
628. #2418	C₂×C₁₃	semidirect
629. #2411	C₂×C₁₃	semidirect
630. #2404	C₂×C₁₃	semidirect
631. #2398	C₂×C₁₃	semidirect
632. #2396	C₂×C₁₃	semidirect
633. #2392	C₂×C₁₃	semidirect
634. #2388	C₂×C₁₃	semidirect
635. C₄×#123	C₂×C₁₃	semidirect
636. C₄×#123	C₂×C₁₃	semidirect
637. C₄×#121	C₂×C₁₃	semidirect
638. C₄×#121	C₂×C₁₃	semidirect
639. C₄×#120	C₂×C₁₃	semidirect
640. #2297	C₂×C₁₃	semidirect
641. #2290	C₂×C₁₃	semidirect
642. #2290	C₂×C₁₃	semidirect
643. C₂×C₄×C₂²⋊C₄	C₂×C₁₃	semidirect
818. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
819. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
829. C₂×C₄×D₄	C₂²×C₁₃	semidirect
830. C₂×C₄×D₄	C₂²×C₁₃	semidirect
831. C₂×C₄×D₄	C₂²×C₁₃	semidirect
834. C₂×#117	C₂²×C₁₃	semidirect
835. C₂×#117	C₂²×C₁₃	semidirect
836. C₂×#117	C₂²×C₁₃	semidirect
841. C₂²×C₄²	C₂²×C₁₃	semidirect
842. C₂²×C₄²	C₂²×C₁₃	semidirect
843. #400	C₂²×C₁₃	semidirect
844. #400	C₂²×C₁₃	semidirect
845. #400	C₂²×C₁₃	semidirect
847. #398	C₂²×C₁₃	semidirect
848. #398	C₂²×C₁₃	semidirect
849. #398	C₂²×C₁₃	semidirect
851. #397	C₂²×C₁₃	semidirect
852. #397	C₂²×C₁₃	semidirect
856. #396	C₂²×C₁₃	semidirect
857. #395	C₂²×C₁₃	semidirect
858. #395	C₂²×C₁₃	semidirect
865. #394	C₂²×C₁₃	semidirect
866. #394	C₂²×C₁₃	semidirect
869. #393	C₂²×C₁₃	semidirect
870. #393	C₂²×C₁₃	semidirect
874. #392	C₂²×C₁₃	semidirect
875. #391	C₂²×C₁₃	semidirect
876. #391	C₂²×C₁₃	semidirect
880. #390	C₂²×C₁₃	semidirect
881. #389	C₂²×C₁₃	semidirect
882. #389	C₂²×C₁₃	semidirect
888. #388	C₂²×C₁₃	semidirect
889. #388	C₂²×C₁₃	semidirect
890. #388	C₂²×C₁₃	semidirect
891. #388	C₂²×C₁₃	semidirect
892. #388	C₂²×C₁₃	semidirect
893. #388	C₂²×C₁₃	semidirect
894. #388	C₂²×C₁₃	semidirect
895. #387	C₂²×C₁₃	semidirect
896. #387	C₂²×C₁₃	semidirect
897. #387	C₂²×C₁₃	semidirect
898. #387	C₂²×C₁₃	semidirect
899. #387	C₂²×C₁₃	semidirect
900. #387	C₂²×C₁₃	semidirect
901. #387	C₂²×C₁₃	semidirect
902. #387	C₂²×C₁₃	semidirect
917. #386	C₂²×C₁₃	semidirect
918. #386	C₂²×C₁₃	semidirect
919. #386	C₂²×C₁₃	semidirect
926. #385	C₂²×C₁₃	semidirect
927. #385	C₂²×C₁₃	semidirect
928. #385	C₂²×C₁₃	semidirect
930. #381	C₂²×C₁₃	semidirect
932. #380	C₂²×C₁₃	semidirect
934. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
935. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
936. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
937. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
949. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
950. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
951. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
952. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
953. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
954. #376	C₂²×C₁₃	semidirect
1099. C₄×D₄	D₄×C₁₃	semidirect
1303. C₂×D₄	C₁₃×#41	semidirect
1354. C₂²×C₄	C₁₃×#41	semidirect
1355. C₂²×C₄	C₁₃×#41	semidirect
1450. C₂²⋊C₄	C₁₃×#41	semidirect
1468. C₁₃	#34732	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#525	2
C₂×C₄×C₁₃×#41	2
C₁₃×#2477	2
C₁₃×#2476	2
C₁₃×#2471	2
C₁₃×#2470	2
C₁₃×#2465	2
C₁₃×#2464	2
C₁₃×#2458	2
C₁₃×#2457	2
C₁₃×#2450	2
C₁₃×#2444	2
C₁₃×#2438	2
C₁₃×#2430	2
C₁₃×#2424	2
C₁₃×#2418	2
C₁₃×#2411	2
C₁₃×#2404	2
C₁₃×#2398	2
C₁₃×#2396	2
C₁₃×#2392	2
C₁₃×#2388	2
C₄×C₁₃×#123	2
C₄×C₁₃×#121	2
C₄×C₁₃×#120	2
C₁₃×#2297	2
C₁₃×#2290	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
#34732	13

Subgroups — C13×#34732 #15721071

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34732 #15721071