Subgroups — C₁₃×#34889 #15721228

Order 3328.

2728 conjugacy classes of subgroups.

The subgroup lattice has 1154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2559	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2557	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2550	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2544	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2540	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2535	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2521	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2492	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2490	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2464	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2428	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2427	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2395	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2388	C₂	1	2	yes	maximal, complemented
17	C₄×C₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×C₁₃×#121	C₂	1	2	yes	maximal, complemented
20	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2297	C₂	1	2	yes	maximal, complemented
22	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	2	yes	—
25	C₁₃×#532	—	2	8	no	—
26	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
28	C₁₃×#529	—	2	8	no	—
29	C₂×C₁₃×#126	C₂²	1	2	yes	—
30	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#124	C₂²	1	2	yes	—
32	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#123	C₂²	1	2	yes	—
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#121	C₂²	1	2	yes	—
42	C₂×C₁₃×#121	C₂²	1	2	yes	—
43	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
51	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
52	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#117	C₂²	1	2	yes	—
55	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
56	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
57	C₂²×C₄²×C₁₃	C₂²	1	2	yes	—
58	C₁₃×#400	C₂²	1	2	yes	—
59	C₁₃×#399	C₂²	1	2	yes	—
60	C₁₃×#398	C₂²	1	2	yes	—
61	C₁₃×#397	C₂²	1	2	yes	—
62	C₁₃×#397	C₂²	1	2	yes	—
63	C₁₃×#397	C₂²	1	2	yes	—
64	C₁₃×#395	C₂²	1	2	yes	—
65	C₁₃×#394	C₂²	1	2	yes	—
66	C₁₃×#394	C₂²	1	2	yes	—
67	C₁₃×#394	C₂²	1	2	yes	—
68	C₁₃×#394	C₂²	1	2	yes	—
69	C₁₃×#394	C₂²	1	2	yes	—
70	C₁₃×#393	C₂²	1	2	yes	—
71	C₁₃×#392	C₂²	1	2	yes	—
72	C₁₃×#392	C₂²	1	2	yes	—
73	C₁₃×#392	C₂²	1	2	yes	—
74	C₁₃×#391	C₂²	1	2	yes	—
75	C₁₃×#391	C₂²	1	1	yes	characteristic
76	C₁₃×#391	C₂²	1	2	yes	—
77	C₁₃×#391	C₂²	1	1	yes	characteristic
78	C₁₃×#390	C₂²	1	2	yes	—
79	C₁₃×#390	C₂²	1	2	yes	—
80	C₁₃×#390	C₂²	1	1	yes	characteristic
81	C₁₃×#390	C₂²	1	2	yes	—
82	C₁₃×#390	C₂²	1	1	yes	characteristic
83	C₁₃×#389	C₂²	1	2	yes	—
84	C₁₃×#389	C₂²	1	1	yes	characteristic
85	C₁₃×#389	C₂²	1	1	yes	characteristic
86	C₁₃×#388	C₂²	1	2	yes	—
87	C₁₃×#388	C₂²	1	2	yes	—
88	C₁₃×#388	C₂²	1	2	yes	—
89	C₁₃×#388	C₂²	1	2	yes	—
90	C₁₃×#388	C₂²	1	2	yes	—
91	C₁₃×#387	C₂²	1	2	yes	—
92	C₁₃×#386	C₂²	1	2	yes	—
93	C₁₃×#386	C₂²	1	2	yes	—
94	C₁₃×#386	C₂²	1	2	yes	—
95	C₁₃×#386	C₂²	1	2	yes	—
96	C₁₃×#386	C₂²	1	2	yes	—
97	C₁₃×#386	C₂²	1	2	yes	—
98	C₁₃×#386	C₂²	1	2	yes	—
99	C₁₃×#385	C₂²	1	2	yes	—
100	C₁₃×#382	C₂²	1	1	yes	characteristic
101	C₁₃×#380	C₂²	1	2	yes	—
102	C₁₃×#380	C₂²	1	1	yes	characteristic
103	C₁₃×#380	C₂²	1	1	yes	characteristic
104	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
112	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
123	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
124	C₄³×C₁₃	C₂²	1	1	yes	characteristic
125	C₂×C₁₃×#41	—	2	8	no	—
126	C₂×C₁₃×#41	—	2	8	no	—
127	C₂×C₁₃×#41	—	4	4	no	—
128	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
149	C₁₃×C₄⋊Q₈	—	2	4	no	—
150	C₁₃×#127	—	2	4	no	—
151	C₁₃×#126	—	2	8	no	—
152	C₁₃×#125	—	2	4	no	—
153	C₁₃×#124	—	2	4	no	—
154	C₁₃×#124	—	2	8	no	—
155	C₁₃×#124	—	2	4	no	—
156	C₁₃×#123	—	2	8	no	—
157	C₁₃×C₂²⋊Q₈	—	2	4	no	—
158	C₁₃×C₂²⋊Q₈	—	2	4	no	—
159	C₁₃×#121	—	2	4	no	—
160	C₁₃×#121	—	2	4	no	—
161	C₁₃×#121	—	2	4	no	—
162	C₁₃×#121	—	2	4	no	—
163	C₁₃×#121	—	2	8	no	—
164	C₁₃×#121	—	2	8	no	—
165	C₄×Q₈×C₁₃	—	2	4	no	—
166	C₄×D₄×C₁₃	—	2	8	no	—
167	C₄×D₄×C₁₃	—	2	8	no	—
168	C₄×D₄×C₁₃	—	2	4	no	—
169	C₄×D₄×C₁₃	—	2	4	no	—
170	C₄×D₄×C₁₃	—	2	4	no	—
171	C₄×D₄×C₁₃	—	2	4	no	—
172	C₄×D₄×C₁₃	—	2	4	no	—
173	C₄×D₄×C₁₃	—	2	4	no	—
174	C₄×D₄×C₁₃	—	4	4	no	—
175	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
176	C₁₃×#117	—	2	8	no	—
177	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	—	2	4	no	—
220	C₂×C₄²×C₁₃	—	2	4	no	—
221	C₂×C₄²×C₁₃	—	4	4	no	—
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
236	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₁₃×#95	C₂³	1	1	yes	characteristic
240	C₁₃×#95	C₂³	1	2	yes	—
241	C₁₃×#95	C₂³	1	1	yes	characteristic
242	C₁₃×#95	C₂³	1	1	yes	characteristic
243	C₁₃×#95	C₂³	1	1	yes	characteristic
244	C₁₃×#95	C₂³	1	2	yes	—
245	C₁₃×#95	C₂³	1	2	yes	—
246	C₁₃×#95	C₂³	1	1	yes	characteristic
247	C₁₃×#95	C₂³	1	1	yes	characteristic
248	C₁₃×#95	C₂³	1	2	yes	—
249	C₁₃×#95	C₂³	1	2	yes	—
250	C₁₃×#95	C₂³	1	2	yes	—
251	C₁₃×#95	C₂³	1	2	yes	—
252	C₁₃×#95	C₂³	1	2	yes	—
253	C₁₃×#95	C₂³	1	2	yes	—
254	C₁₃×#95	C₂³	1	2	yes	—
255	C₁₃×#95	C₂³	1	2	yes	—
256	C₁₃×#95	C₂³	1	2	yes	—
257	C₁₃×#95	C₂³	1	2	yes	—
258	#34889	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
259	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
260	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
261	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
262	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
263	C₁₃×#41	—	4	32	no	—
264	C₂×Q₈×C₁₃	—	2	2	no	—
265	C₂×Q₈×C₁₃	—	2	4	no	—
266	C₂×Q₈×C₁₃	—	2	2	no	—
267	C₂×Q₈×C₁₃	—	2	2	no	—
268	C₂×Q₈×C₁₃	—	2	4	no	—
269	C₂×Q₈×C₁₃	—	4	2	no	—
270	C₂×D₄×C₁₃	—	2	2	no	—
271	C₂×D₄×C₁₃	—	2	2	no	—
272	C₂×D₄×C₁₃	—	2	4	no	—
273	C₂×D₄×C₁₃	—	2	4	no	—
274	C₂×D₄×C₁₃	—	2	4	no	—
275	C₂×D₄×C₁₃	—	2	4	no	—
276	C₂×D₄×C₁₃	—	2	4	no	—
277	C₂×D₄×C₁₃	—	2	4	no	—
278	C₂×D₄×C₁₃	—	2	4	no	—
279	C₂×D₄×C₁₃	—	2	4	no	—
280	C₂×D₄×C₁₃	—	2	2	no	—
281	C₂×D₄×C₁₃	—	2	4	no	—
282	C₂×D₄×C₁₃	—	2	2	no	—
283	C₂×D₄×C₁₃	—	2	2	no	—
284	C₂×D₄×C₁₃	—	2	2	no	—
285	C₂×D₄×C₁₃	—	2	4	no	—
286	C₂×D₄×C₁₃	—	2	4	no	—
287	C₂×D₄×C₁₃	—	2	2	no	—
288	C₂×D₄×C₁₃	—	2	2	no	—
289	C₂×D₄×C₁₃	—	2	4	no	—
290	C₂×D₄×C₁₃	—	4	2	no	—
291	C₂×D₄×C₁₃	—	4	2	no	—
292	C₂×D₄×C₁₃	—	4	2	no	—
293	C₂×D₄×C₁₃	—	4	2	no	—
294	C₂×D₄×C₁₃	—	4	2	no	—
295	C₂×D₄×C₁₃	—	4	2	no	—
296	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
297	C₂²×C₄×C₁₃	—	2	2	no	—
298	C₂²×C₄×C₁₃	—	2	4	no	—
299	C₂²×C₄×C₁₃	—	2	4	no	—
300	C₂²×C₄×C₁₃	—	2	2	no	—
301	C₂²×C₄×C₁₃	—	2	2	no	—
302	C₂²×C₄×C₁₃	—	2	2	no	—
303	C₂²×C₄×C₁₃	—	2	2	no	—
304	C₂²×C₄×C₁₃	—	2	2	no	—
305	C₂²×C₄×C₁₃	—	2	2	no	—
306	C₂²×C₄×C₁₃	—	2	2	no	—
307	C₂²×C₄×C₁₃	—	2	4	no	—
308	C₂²×C₄×C₁₃	—	2	4	no	—
309	C₂²×C₄×C₁₃	—	2	2	no	—
310	C₂²×C₄×C₁₃	—	2	4	no	—
311	C₂²×C₄×C₁₃	—	2	2	no	—
312	C₂²×C₄×C₁₃	—	2	2	no	—
313	C₂²×C₄×C₁₃	—	2	2	no	—
314	C₂²×C₄×C₁₃	—	2	4	no	—
315	C₂²×C₄×C₁₃	—	2	2	no	—
316	C₂²×C₄×C₁₃	—	2	2	no	—
317	C₂²×C₄×C₁₃	—	2	4	no	—
318	C₂²×C₄×C₁₃	—	2	2	no	—
319	C₂²×C₄×C₁₃	—	2	4	no	—
320	C₂²×C₄×C₁₃	—	4	2	no	—
321	C₂²×C₄×C₁₃	—	4	2	no	—
322	C₂²×C₄×C₁₃	—	4	1	no	—
323	C₂²×C₄×C₁₃	—	4	1	no	—
324	C₂²×C₄×C₁₃	—	4	2	no	—
325	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
326	C₂²×C₄×C₁₃	#41	1	4	yes	—
327	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
335	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₁₃×C₄⋊C₄	—	2	4	no	—
347	C₁₃×C₄⋊C₄	—	2	4	no	—
348	C₁₃×C₄⋊C₄	—	2	4	no	—
349	C₁₃×C₄⋊C₄	—	2	2	no	—
350	C₁₃×C₄⋊C₄	—	2	4	no	—
351	C₁₃×C₄⋊C₄	—	2	2	no	—
352	C₁₃×C₄⋊C₄	—	2	4	no	—
353	C₁₃×C₄⋊C₄	—	2	2	no	—
354	C₁₃×C₄⋊C₄	—	2	2	no	—
355	C₁₃×C₄⋊C₄	—	2	2	no	—
356	C₁₃×C₄⋊C₄	—	2	2	no	—
357	C₁₃×C₄⋊C₄	—	2	4	no	—
358	C₁₃×C₄⋊C₄	—	2	4	no	—
359	C₁₃×C₄⋊C₄	—	4	2	no	—
360	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
361	C₁₃×C₄⋊C₄	#41	1	4	yes	complemented
362	C₁₃×C₂²⋊C₄	—	2	4	no	—
363	C₁₃×C₂²⋊C₄	—	2	4	no	—
364	C₁₃×C₂²⋊C₄	—	2	4	no	—
365	C₁₃×C₂²⋊C₄	—	2	4	no	—
366	C₁₃×C₂²⋊C₄	—	2	2	no	—
367	C₁₃×C₂²⋊C₄	—	2	4	no	—
368	C₁₃×C₂²⋊C₄	—	2	4	no	—
369	C₁₃×C₂²⋊C₄	—	2	4	no	—
370	C₁₃×C₂²⋊C₄	—	2	4	no	—
371	C₁₃×C₂²⋊C₄	—	2	2	no	—
372	C₁₃×C₂²⋊C₄	—	2	2	no	—
373	C₁₃×C₂²⋊C₄	—	2	4	no	—
374	C₁₃×C₂²⋊C₄	—	2	2	no	—
375	C₁₃×C₂²⋊C₄	—	2	2	no	—
376	C₁₃×C₂²⋊C₄	—	2	4	no	—
377	C₁₃×C₂²⋊C₄	—	2	4	no	—
378	C₁₃×C₂²⋊C₄	—	2	4	no	—
379	C₁₃×C₂²⋊C₄	—	2	4	no	—
380	C₁₃×C₂²⋊C₄	—	2	4	no	—
381	C₁₃×C₂²⋊C₄	—	4	2	no	—
382	C₁₃×C₂²⋊C₄	—	4	2	no	—
383	C₁₃×C₂²⋊C₄	—	4	2	no	—
384	C₁₃×C₂²⋊C₄	—	4	2	no	—
385	C₁₃×C₂²⋊C₄	—	4	2	no	—
386	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
387	C₁₃×C₂²⋊C₄	#41	1	4	yes	complemented
388	C₄²×C₁₃	—	2	2	no	—
389	C₄²×C₁₃	—	2	2	no	—
390	C₄²×C₁₃	—	2	2	no	—
391	C₄²×C₁₃	—	2	2	no	—
392	C₄²×C₁₃	—	2	2	no	—
393	C₄²×C₁₃	—	2	2	no	—
394	C₄²×C₁₃	—	2	4	no	—
395	C₄²×C₁₃	—	2	2	no	—
396	C₄²×C₁₃	—	2	2	no	—
397	C₄²×C₁₃	—	2	2	no	—
398	C₄²×C₁₃	—	2	2	no	—
399	C₄²×C₁₃	—	2	4	no	—
400	C₄²×C₁₃	—	4	2	no	—
401	C₄²×C₁₃	—	4	2	no	—
402	C₄²×C₁₃	—	4	1	no	—
403	C₄²×C₁₃	C₂×D₄	1	4	yes	—
404	C₄²×C₁₃	#41	1	4	yes	complemented
405	C₂×#532	C₂×C₁₃	1	1	yes	characteristic, complemented
406	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
407	#2559	C₂×C₁₃	1	2	yes	complemented
408	#2557	C₂×C₁₃	1	2	yes	complemented
409	#2550	C₂×C₁₃	1	1	yes	characteristic, complemented
410	#2544	C₂×C₁₃	1	1	yes	characteristic, complemented
411	#2540	C₂×C₁₃	1	1	yes	characteristic, complemented
412	#2535	C₂×C₁₃	1	1	yes	characteristic, complemented
413	#2521	C₂×C₁₃	1	2	yes	complemented
414	#2492	C₂×C₁₃	1	1	yes	characteristic, complemented
415	#2490	C₂×C₁₃	1	1	yes	characteristic, complemented
416	#2464	C₂×C₁₃	1	2	yes	complemented
417	#2428	C₂×C₁₃	1	1	yes	characteristic, complemented
418	#2427	C₂×C₁₃	1	1	yes	characteristic, complemented
419	#2395	C₂×C₁₃	1	2	yes	complemented
420	#2388	C₂×C₁₃	1	2	yes	complemented
421	C₄×#124	C₂×C₁₃	1	1	yes	characteristic, complemented
422	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
423	C₄×#121	C₂×C₁₃	1	2	yes	complemented
424	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
425	#2297	C₂×C₁₃	1	2	yes	complemented
426	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
427	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
428	C₂³×C₁₃	—	2	1	no	—
429	C₂³×C₁₃	—	2	1	no	—
430	C₂³×C₁₃	—	2	1	no	—
431	C₂³×C₁₃	—	2	2	no	—
432	C₂³×C₁₃	—	2	2	no	—
433	C₂³×C₁₃	—	2	1	no	—
434	C₂³×C₁₃	—	2	1	no	—
435	C₂³×C₁₃	—	2	1	no	—
436	C₂³×C₁₃	—	2	1	no	—
437	C₂³×C₁₃	—	2	2	no	—
438	C₂³×C₁₃	—	2	2	no	—
439	C₂³×C₁₃	—	2	1	no	—
440	C₂³×C₁₃	—	2	1	no	—
441	C₂³×C₁₃	—	2	2	no	—
442	C₂³×C₁₃	—	2	1	no	—
443	C₂³×C₁₃	—	2	1	no	—
444	C₂³×C₁₃	—	2	1	no	—
445	C₂³×C₁₃	—	2	2	no	—
446	C₂³×C₁₃	—	2	2	no	—
447	C₂³×C₁₃	—	2	2	no	—
448	C₂³×C₁₃	—	2	2	no	—
449	C₂³×C₁₃	—	2	2	no	—
450	C₂³×C₁₃	—	2	2	no	—
451	C₂³×C₁₃	—	2	2	no	—
452	C₂³×C₁₃	—	2	2	no	—
453	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
454	C₂³×C₁₃	C₂×#41	1	2	yes	—
455	C₂³×C₁₃	C₂×#41	1	2	yes	—
456	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
457	Q₈×C₁₃	—	4	8	no	—
458	Q₈×C₁₃	—	4	4	no	—
459	D₄×C₁₃	—	2	8	no	—
460	D₄×C₁₃	—	2	8	no	—
461	D₄×C₁₃	—	4	8	no	—
462	D₄×C₁₃	—	4	8	no	—
463	D₄×C₁₃	—	4	8	no	—
464	D₄×C₁₃	—	4	8	no	—
465	D₄×C₁₃	—	4	8	no	—
466	D₄×C₁₃	—	4	8	no	—
467	D₄×C₁₃	—	4	4	no	—
468	C₂×C₄×C₁₃	—	2	1	no	—
469	C₂×C₄×C₁₃	—	2	1	no	—
470	C₂×C₄×C₁₃	—	2	1	no	—
471	C₂×C₄×C₁₃	—	2	1	no	—
472	C₂×C₄×C₁₃	—	2	1	no	—
473	C₂×C₄×C₁₃	—	2	1	no	—
474	C₂×C₄×C₁₃	—	2	2	no	—
475	C₂×C₄×C₁₃	—	2	2	no	—
476	C₂×C₄×C₁₃	—	2	1	no	—
477	C₂×C₄×C₁₃	—	2	1	no	—
478	C₂×C₄×C₁₃	—	2	2	no	—
479	C₂×C₄×C₁₃	—	2	2	no	—
480	C₂×C₄×C₁₃	—	2	1	no	—
481	C₂×C₄×C₁₃	—	2	1	no	—
482	C₂×C₄×C₁₃	—	2	1	no	—
483	C₂×C₄×C₁₃	—	2	1	no	—
484	C₂×C₄×C₁₃	—	2	16	no	—
485	C₂×C₄×C₁₃	—	2	8	no	—
486	C₂×C₄×C₁₃	—	2	1	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	1	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	1	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	1	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	1	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	4	4	no	—
514	C₂×C₄×C₁₃	—	4	8	no	—
515	C₂×C₄×C₁₃	—	4	4	no	—
516	C₂×C₄×C₁₃	—	4	8	no	—
517	C₂×C₄×C₁₃	—	4	4	no	—
518	C₂×C₄×C₁₃	—	4	4	no	—
519	C₂×C₄×C₁₃	—	4	4	no	—
520	C₂×C₄×C₁₃	—	4	8	no	—
521	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
523	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
526	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
527	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
528	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
529	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
530	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
531	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
532	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
533	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
534	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
535	C₂²×#41	C₂²×C₁₃	1	2	yes	—
536	#532	—	2	8	no	—
537	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
538	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
539	#529	—	2	8	no	—
540	C₂×#126	C₂²×C₁₃	1	2	yes	—
541	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
542	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
543	C₂×#124	C₂²×C₁₃	1	2	yes	—
544	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
545	C₂×#123	C₂²×C₁₃	1	2	yes	—
546	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
547	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
548	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
549	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
550	C₂×#121	C₂²×C₁₃	1	2	yes	—
551	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
552	C₂×#121	C₂²×C₁₃	1	2	yes	—
553	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
554	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
555	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
556	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
557	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
558	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
559	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
560	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
561	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
562	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
563	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
564	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
565	C₂×#117	C₂²×C₁₃	1	2	yes	—
566	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
567	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
568	C₂²×C₄²	C₂²×C₁₃	1	2	yes	—
569	#400	C₂²×C₁₃	1	2	yes	—
570	#399	C₂²×C₁₃	1	2	yes	—
571	#398	C₂²×C₁₃	1	2	yes	—
572	#397	C₂²×C₁₃	1	2	yes	—
573	#397	C₂²×C₁₃	1	2	yes	—
574	#397	C₂²×C₁₃	1	2	yes	—
575	#395	C₂²×C₁₃	1	2	yes	—
576	#394	C₂²×C₁₃	1	2	yes	—
577	#394	C₂²×C₁₃	1	2	yes	—
578	#394	C₂²×C₁₃	1	2	yes	—
579	#394	C₂²×C₁₃	1	2	yes	—
580	#394	C₂²×C₁₃	1	2	yes	—
581	#393	C₂²×C₁₃	1	2	yes	—
582	#392	C₂²×C₁₃	1	2	yes	—
583	#392	C₂²×C₁₃	1	2	yes	—
584	#392	C₂²×C₁₃	1	2	yes	—
585	#391	C₂²×C₁₃	1	1	yes	characteristic
586	#391	C₂²×C₁₃	1	2	yes	—
587	#391	C₂²×C₁₃	1	1	yes	characteristic
588	#391	C₂²×C₁₃	1	2	yes	—
589	#390	C₂²×C₁₃	1	1	yes	characteristic
590	#390	C₂²×C₁₃	1	2	yes	—
591	#390	C₂²×C₁₃	1	1	yes	characteristic
592	#390	C₂²×C₁₃	1	2	yes	—
593	#390	C₂²×C₁₃	1	2	yes	—
594	#389	C₂²×C₁₃	1	1	yes	characteristic
595	#389	C₂²×C₁₃	1	1	yes	characteristic
596	#389	C₂²×C₁₃	1	2	yes	—
597	#388	C₂²×C₁₃	1	2	yes	—
598	#388	C₂²×C₁₃	1	2	yes	—
599	#388	C₂²×C₁₃	1	2	yes	—
600	#388	C₂²×C₁₃	1	2	yes	—
601	#388	C₂²×C₁₃	1	2	yes	—
602	#387	C₂²×C₁₃	1	2	yes	—
603	#386	C₂²×C₁₃	1	2	yes	—
604	#386	C₂²×C₁₃	1	2	yes	—
605	#386	C₂²×C₁₃	1	2	yes	—
606	#386	C₂²×C₁₃	1	2	yes	—
607	#386	C₂²×C₁₃	1	2	yes	—
608	#386	C₂²×C₁₃	1	2	yes	—
609	#386	C₂²×C₁₃	1	2	yes	—
610	#385	C₂²×C₁₃	1	2	yes	—
611	#382	C₂²×C₁₃	1	1	yes	characteristic
612	#380	C₂²×C₁₃	1	2	yes	—
613	#380	C₂²×C₁₃	1	1	yes	characteristic
614	#380	C₂²×C₁₃	1	1	yes	characteristic
615	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
616	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
617	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
618	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
619	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
620	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
621	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
622	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
623	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
624	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
625	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
626	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
627	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
628	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
629	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
630	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
631	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
632	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
633	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
634	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
635	C₄³	C₂²×C₁₃	1	1	yes	characteristic
636	C₂²×C₁₃	—	2	4	no	—
637	C₂²×C₁₃	—	2	2	no	—
638	C₂²×C₁₃	—	2	2	no	—
639	C₂²×C₁₃	—	2	2	no	—
640	C₂²×C₁₃	—	2	4	no	—
641	C₂²×C₁₃	—	2	2	no	—
642	C₂²×C₁₃	—	2	4	no	—
643	C₂²×C₁₃	—	2	2	no	—
644	C₂²×C₁₃	—	2	2	no	—
645	C₂²×C₁₃	—	4	1	no	—
646	C₂²×C₁₃	—	4	1	no	—
647	C₂²×C₁₃	—	4	2	no	—
648	C₂²×C₁₃	—	4	2	no	—
649	C₂²×C₁₃	—	4	1	no	—
650	C₂²×C₁₃	—	4	1	no	—
651	C₂²×C₁₃	—	4	1	no	—
652	C₂²×C₁₃	—	4	1	no	—
653	C₂²×C₁₃	—	4	2	no	—
654	C₂²×C₁₃	—	4	1	no	—
655	C₂²×C₁₃	—	4	2	no	—
656	C₂²×C₁₃	—	4	1	no	—
657	C₂²×C₁₃	—	4	2	no	—
658	C₂²×C₁₃	—	4	2	no	—
659	C₂²×C₁₃	—	4	2	no	—
660	C₂²×C₁₃	—	4	2	no	—
661	C₂²×C₁₃	—	4	2	no	—
662	C₂²×C₁₃	—	4	2	no	—
663	C₂²×C₁₃	—	4	2	no	—
664	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
665	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
666	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
667	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
668	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
669	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
670	C₂²×C₁₃	#585	1	1	yes	characteristic
671	C₄×C₁₃	—	2	2	no	—
672	C₄×C₁₃	—	2	2	no	—
673	C₄×C₁₃	—	2	4	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	2	no	—
676	C₄×C₁₃	—	2	2	no	—
677	C₄×C₁₃	—	2	2	no	—
678	C₄×C₁₃	—	2	4	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	—	4	2	no	—
682	C₄×C₁₃	—	4	2	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	2	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	#532	1	4	yes	—
689	C₄×C₁₃	#546	1	4	yes	—
690	C₂×#41	—	2	8	no	—
691	C₂×#41	—	2	8	no	—
692	C₂×#41	—	4	4	no	—
693	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
694	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
695	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
696	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
697	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
698	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
699	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
700	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
701	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
702	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
703	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
704	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
705	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
706	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
707	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
708	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
709	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
710	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
711	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
712	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
714	C₄⋊Q₈	—	2	4	no	—
715	#127	—	2	4	no	—
716	#126	—	2	8	no	—
717	#125	—	2	4	no	—
718	#124	—	2	4	no	—
719	#124	—	2	8	no	—
720	#124	—	2	4	no	—
721	#123	—	2	8	no	—
722	C₂²⋊Q₈	—	2	4	no	—
723	C₂²⋊Q₈	—	2	4	no	—
724	#121	—	2	4	no	—
725	#121	—	2	4	no	—
726	#121	—	2	4	no	—
727	#121	—	2	4	no	—
728	#121	—	2	8	no	—
729	#121	—	2	8	no	—
730	C₄×Q₈	—	2	4	no	—
731	C₄×D₄	—	2	8	no	—
732	C₄×D₄	—	2	8	no	—
733	C₄×D₄	—	2	4	no	—
734	C₄×D₄	—	2	4	no	—
735	C₄×D₄	—	2	4	no	—
736	C₄×D₄	—	2	4	no	—
737	C₄×D₄	—	2	4	no	—
738	C₄×D₄	—	2	4	no	—
739	C₄×D₄	—	4	4	no	—
740	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
741	#117	—	2	8	no	—
742	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
743	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
744	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
746	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
747	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
748	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
753	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
754	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
784	C₂×C₄²	—	2	4	no	—
785	C₂×C₄²	—	2	4	no	—
786	C₂×C₄²	—	4	4	no	—
787	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
788	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
789	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
790	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
791	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
792	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
793	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
794	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
795	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
796	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
797	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
799	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
800	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
801	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
802	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
803	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
804	#95	C₂³×C₁₃	1	1	yes	characteristic
805	#95	C₂³×C₁₃	1	2	yes	—
806	#95	C₂³×C₁₃	1	1	yes	characteristic
807	#95	C₂³×C₁₃	1	1	yes	characteristic
808	#95	C₂³×C₁₃	1	1	yes	characteristic
809	#95	C₂³×C₁₃	1	2	yes	—
810	#95	C₂³×C₁₃	1	2	yes	—
811	#95	C₂³×C₁₃	1	1	yes	characteristic
812	#95	C₂³×C₁₃	1	1	yes	characteristic
813	#95	C₂³×C₁₃	1	2	yes	—
814	#95	C₂³×C₁₃	1	2	yes	—
815	#95	C₂³×C₁₃	1	2	yes	—
816	#95	C₂³×C₁₃	1	2	yes	—
817	#95	C₂³×C₁₃	1	2	yes	—
818	#95	C₂³×C₁₃	1	2	yes	—
819	#95	C₂³×C₁₃	1	2	yes	—
820	#95	C₂³×C₁₃	1	2	yes	—
821	#95	C₂³×C₁₃	1	2	yes	—
822	#95	C₂³×C₁₃	1	2	yes	—
823	C₂×C₁₃	—	4	4	no	—
824	C₂×C₁₃	—	4	2	no	—
825	C₂×C₁₃	—	4	2	no	—
826	C₂×C₁₃	—	8	2	no	—
827	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
828	C₂×C₁₃	#3444	1	1	yes	characteristic
829	C₂×C₁₃	#3460	1	1	yes	characteristic
830	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
831	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
832	C₂×C₁₃	#3480	1	1	yes	characteristic
833	C₂×C₁₃	#3481	1	1	yes	characteristic
834	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
835	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
836	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
837	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
838	#41	—	4	32	no	—
839	C₂×Q₈	—	2	2	no	—
840	C₂×Q₈	—	2	4	no	—
841	C₂×Q₈	—	2	2	no	—
842	C₂×Q₈	—	2	2	no	—
843	C₂×Q₈	—	2	4	no	—
844	C₂×Q₈	—	4	2	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	4	no	—
848	C₂×D₄	—	2	4	no	—
849	C₂×D₄	—	2	4	no	—
850	C₂×D₄	—	2	4	no	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	4	no	—
853	C₂×D₄	—	2	4	no	—
854	C₂×D₄	—	2	4	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	4	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	4	no	—
861	C₂×D₄	—	2	4	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	4	no	—
865	C₂×D₄	—	4	2	no	—
866	C₂×D₄	—	4	2	no	—
867	C₂×D₄	—	4	2	no	—
868	C₂×D₄	—	4	2	no	—
869	C₂×D₄	—	4	2	no	—
870	C₂×D₄	—	4	2	no	—
871	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	4	no	—
874	C₂²×C₄	—	2	4	no	—
875	C₂²×C₄	—	2	2	no	—
876	C₂²×C₄	—	2	2	no	—
877	C₂²×C₄	—	2	2	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	4	no	—
883	C₂²×C₄	—	2	4	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	4	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	4	no	—
890	C₂²×C₄	—	2	2	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	4	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	4	no	—
895	C₂²×C₄	—	4	2	no	—
896	C₂²×C₄	—	4	2	no	—
897	C₂²×C₄	—	4	1	no	—
898	C₂²×C₄	—	4	1	no	—
899	C₂²×C₄	—	4	2	no	—
900	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
901	C₂²×C₄	C₁₃×#41	1	4	yes	—
902	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
904	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
905	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
906	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
907	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
908	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
909	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
910	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
911	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
913	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
914	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
915	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
918	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
919	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
921	C₄⋊C₄	—	2	4	no	—
922	C₄⋊C₄	—	2	4	no	—
923	C₄⋊C₄	—	2	4	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	4	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	4	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	4	no	—
933	C₄⋊C₄	—	2	4	no	—
934	C₄⋊C₄	—	4	2	no	—
935	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
936	C₄⋊C₄	C₁₃×#41	1	4	yes	complemented
937	C₂²⋊C₄	—	2	4	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	4	no	—
940	C₂²⋊C₄	—	2	4	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	4	no	—
943	C₂²⋊C₄	—	2	4	no	—
944	C₂²⋊C₄	—	2	4	no	—
945	C₂²⋊C₄	—	2	4	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	4	no	—
949	C₂²⋊C₄	—	2	2	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	4	no	—
952	C₂²⋊C₄	—	2	4	no	—
953	C₂²⋊C₄	—	2	4	no	—
954	C₂²⋊C₄	—	2	4	no	—
955	C₂²⋊C₄	—	2	4	no	—
956	C₂²⋊C₄	—	4	2	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
962	C₂²⋊C₄	C₁₃×#41	1	4	yes	complemented
963	C₄²	—	2	2	no	—
964	C₄²	—	2	2	no	—
965	C₄²	—	2	2	no	—
966	C₄²	—	2	2	no	—
967	C₄²	—	2	2	no	—
968	C₄²	—	2	2	no	—
969	C₄²	—	2	4	no	—
970	C₄²	—	2	2	no	—
971	C₄²	—	2	2	no	—
972	C₄²	—	2	2	no	—
973	C₄²	—	2	2	no	—
974	C₄²	—	2	4	no	—
975	C₄²	—	4	2	no	—
976	C₄²	—	4	2	no	—
977	C₄²	—	4	1	no	—
978	C₄²	C₂×D₄×C₁₃	1	4	yes	—
979	C₄²	C₁₃×#41	1	4	yes	complemented
980	C₁₃	#34889	1	1	yes	characteristic, direct product factor, Sylow
981	C₂³	—	2	1	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	2	1	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	2	2	no	—
986	C₂³	—	2	1	no	—
987	C₂³	—	2	1	no	—
988	C₂³	—	2	1	no	—
989	C₂³	—	2	1	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	1	no	—
993	C₂³	—	2	1	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	1	no	—
996	C₂³	—	2	1	no	—
997	C₂³	—	2	1	no	—
998	C₂³	—	2	2	no	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	2	no	—
1001	C₂³	—	2	2	no	—
1002	C₂³	—	2	2	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	2	2	no	—
1005	C₂³	—	2	2	no	—
1006	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
1007	C₂³	C₂×C₁₃×#41	1	2	yes	—
1008	C₂³	C₂×C₁₃×#41	1	2	yes	—
1009	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1010	Q₈	—	4	8	no	—
1011	Q₈	—	4	4	no	—
1012	D₄	—	2	8	no	—
1013	D₄	—	2	8	no	—
1014	D₄	—	4	8	no	—
1015	D₄	—	4	8	no	—
1016	D₄	—	4	8	no	—
1017	D₄	—	4	8	no	—
1018	D₄	—	4	8	no	—
1019	D₄	—	4	8	no	—
1020	D₄	—	4	4	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	16	no	—
1038	C₂×C₄	—	2	8	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	4	4	no	—
1067	C₂×C₄	—	4	8	no	—
1068	C₂×C₄	—	4	4	no	—
1069	C₂×C₄	—	4	8	no	—
1070	C₂×C₄	—	4	4	no	—
1071	C₂×C₄	—	4	4	no	—
1072	C₂×C₄	—	4	4	no	—
1073	C₂×C₄	—	4	8	no	—
1074	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1075	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1076	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1077	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1078	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1079	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1080	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1081	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
1082	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1083	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1084	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1085	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1086	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1087	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1088	C₂²	—	2	4	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	4	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	4	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	2	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	2	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1117	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1118	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1119	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1120	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1121	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1122	C₂²	C₁₃×#585	1	1	yes	characteristic
1123	C₄	—	2	2	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	2	4	no	—
1126	C₄	—	2	2	no	—
1127	C₄	—	2	2	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	4	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	1	no	—
1140	C₄	C₁₃×#532	1	4	yes	—
1141	C₄	C₁₃×#546	1	4	yes	—
1142	C₂	—	4	4	no	—
1143	C₂	—	4	2	no	—
1144	C₂	—	4	2	no	—
1145	C₂	—	8	2	no	—
1146	C₂	C₂×C₁₃×#532	1	1	yes	characteristic
1147	C₂	C₁₃×#3444	1	1	yes	characteristic
1148	C₂	C₁₃×#3460	1	1	yes	characteristic
1149	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1150	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1151	C₂	C₁₃×#3480	1	1	yes	characteristic
1152	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×#532	C₂	semidirect
2. C₂×C₁₃×#529	C₂	semidirect
3. C₁₃×#2559	C₂	semidirect
4. C₁₃×#2557	C₂	semidirect
5. C₁₃×#2550	C₂	semidirect
6. C₁₃×#2544	C₂	semidirect
7. C₁₃×#2540	C₂	semidirect
8. C₁₃×#2535	C₂	semidirect
9. C₁₃×#2521	C₂	semidirect
10. C₁₃×#2492	C₂	semidirect
11. C₁₃×#2490	C₂	semidirect
12. C₁₃×#2464	C₂	semidirect
13. C₁₃×#2428	C₂	semidirect
14. C₁₃×#2427	C₂	semidirect
15. C₁₃×#2395	C₂	semidirect
16. C₁₃×#2388	C₂	semidirect
17. C₄×C₁₃×#124	C₂	semidirect
18. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
19. C₄×C₁₃×#121	C₂	semidirect
20. C₄×C₁₃×#121	C₂	semidirect
21. C₁₃×#2297	C₂	semidirect
22. C₄²×D₄×C₁₃	C₂	semidirect
23. C₄²×D₄×C₁₃	C₂	semidirect
175. C₄×D₄×C₁₃	D₄	semidirect
258. #34889	C₁₃	direct (N × H)
361. C₁₃×C₄⋊C₄	#41	semidirect
387. C₁₃×C₂²⋊C₄	#41	semidirect
404. C₄²×C₁₃	#41	semidirect
405. C₂×#532	C₂×C₁₃	semidirect
406. C₂×#529	C₂×C₁₃	semidirect
407. #2559	C₂×C₁₃	semidirect
408. #2557	C₂×C₁₃	semidirect
409. #2550	C₂×C₁₃	semidirect
410. #2544	C₂×C₁₃	semidirect
411. #2540	C₂×C₁₃	semidirect
412. #2535	C₂×C₁₃	semidirect
413. #2521	C₂×C₁₃	semidirect
414. #2492	C₂×C₁₃	semidirect
415. #2490	C₂×C₁₃	semidirect
416. #2464	C₂×C₁₃	semidirect
417. #2428	C₂×C₁₃	semidirect
418. #2427	C₂×C₁₃	semidirect
419. #2395	C₂×C₁₃	semidirect
420. #2388	C₂×C₁₃	semidirect
421. C₄×#124	C₂×C₁₃	semidirect
422. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
423. C₄×#121	C₂×C₁₃	semidirect
424. C₄×#121	C₂×C₁₃	semidirect
425. #2297	C₂×C₁₃	semidirect
426. C₄²×D₄	C₂×C₁₃	semidirect
427. C₄²×D₄	C₂×C₁₃	semidirect
740. C₄×D₄	D₄×C₁₃	semidirect
936. C₄⋊C₄	C₁₃×#41	semidirect
962. C₂²⋊C₄	C₁₃×#41	semidirect
979. C₄²	C₁₃×#41	semidirect
980. C₁₃	#34889	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×#532	2
C₂×C₁₃×#529	2
C₁₃×#2559	2
C₁₃×#2557	2
C₁₃×#2550	2
C₁₃×#2544	2
C₁₃×#2540	2
C₁₃×#2535	2
C₁₃×#2521	2
C₁₃×#2492	2
C₁₃×#2490	2
C₁₃×#2464	2
C₁₃×#2428	2
C₁₃×#2427	2
C₁₃×#2395	2
C₁₃×#2388	2
C₄×C₁₃×#124	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#121	2
C₁₃×#2297	2
C₄²×D₄×C₁₃	2
#34889	13

Subgroups — C13×#34889 #15721228

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34889 #15721228