Subgroups — C₁₃×#35007 #15721346

Order 3328.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1222 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#538	C₂	1	2	yes	maximal, complemented
2	C₁₃×#2860	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2858	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2856	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2854	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2662	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2661	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2555	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2554	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2512	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2491	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2472	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2445	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2440	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2433	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2428	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2424	C₂	1	2	yes	maximal, complemented
18	C₁₃×#2416	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2408	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
21	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#390	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
25	C₁₃×#538	—	2	16	no	—
26	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
30	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
31	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
32	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
33	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
35	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
37	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#121	C₂²	1	2	yes	—
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	complemented
42	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
43	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
44	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#120	C₂²	1	2	yes	—
46	C₂×C₁₃×#120	C₂²	1	2	yes	—
47	C₂×C₁₃×#120	C₂²	1	2	yes	—
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	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
55	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
56	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
57	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#398	C₂²	1	2	yes	complemented
59	C₁₃×#397	C₂²	1	2	yes	complemented
60	C₁₃×#396	C₂²	1	2	yes	complemented
61	C₁₃×#396	C₂²	1	2	yes	complemented
62	C₁₃×#395	C₂²	1	2	yes	complemented
63	C₁₃×#394	C₂²	1	2	yes	—
64	C₁₃×#394	C₂²	1	2	yes	complemented
65	C₁₃×#394	C₂²	1	2	yes	complemented
66	C₁₃×#394	C₂²	1	2	yes	complemented
67	C₁₃×#394	C₂²	1	2	yes	complemented
68	C₁₃×#394	C₂²	1	2	yes	complemented
69	C₁₃×#393	C₂²	1	2	yes	complemented
70	C₁₃×#392	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	complemented
74	C₁₃×#390	C₂²	1	1	yes	characteristic
75	C₁₃×#390	C₂²	1	1	yes	characteristic
76	C₁₃×#390	C₂²	1	1	yes	characteristic
77	C₁₃×#390	C₂²	1	2	yes	—
78	C₁₃×#390	C₂²	1	1	yes	characteristic
79	C₁₃×#390	C₂²	1	1	yes	characteristic
80	C₁₃×#390	C₂²	1	2	yes	—
81	C₁₃×#390	C₂²	1	1	yes	characteristic
82	C₁₃×#390	C₂²	1	1	yes	characteristic
83	C₁₃×#390	C₂²	1	1	yes	characteristic
84	C₁₃×#390	C₂²	1	2	yes	complemented
85	C₁₃×#390	C₂²	1	2	yes	complemented
86	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#390	C₂²	1	2	yes	complemented
88	C₁₃×#390	C₂²	1	2	yes	complemented
89	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#388	C₂²	1	2	yes	complemented
95	C₁₃×#388	C₂²	1	2	yes	complemented
96	C₁₃×#388	C₂²	1	2	yes	complemented
97	C₁₃×#388	C₂²	1	2	yes	complemented
98	C₁₃×#388	C₂²	1	2	yes	complemented
99	C₁₃×#388	C₂²	1	2	yes	complemented
100	C₁₃×#388	C₂²	1	2	yes	complemented
101	C₁₃×#388	C₂²	1	2	yes	complemented
102	C₁₃×#386	C₂²	1	2	yes	—
103	C₁₃×#386	C₂²	1	2	yes	—
104	C₁₃×#386	C₂²	1	2	yes	complemented
105	C₁₃×#386	C₂²	1	2	yes	complemented
106	C₁₃×#386	C₂²	1	2	yes	complemented
107	C₁₃×#385	C₂²	1	2	yes	—
108	C₁₃×#384	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#380	C₂²	1	1	yes	characteristic
110	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#379	C₂²	1	2	yes	—
112	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
123	C₄³×C₁₃	C₂²	1	1	yes	characteristic, complemented
124	C₂⁵×C₁₃	C₂³	1	2	yes	—
125	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₃	—	2	4	no	—
127	C₂²×D₄×C₁₃	—	4	2	no	—
128	C₂²×D₄×C₁₃	—	4	2	no	—
129	C₂²×D₄×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	1	yes	characteristic
133	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
139	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
148	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₁₃×C₄⋊Q₈	—	4	2	no	—
151	C₁₃×#127	—	4	2	no	—
152	C₁₃×#127	—	4	2	no	—
153	C₁₃×#126	—	2	8	no	—
154	C₁₃×#126	—	2	8	no	—
155	C₁₃×#124	—	2	8	no	—
156	C₁₃×#124	—	2	8	no	—
157	C₁₃×#124	—	4	4	no	—
158	C₁₃×#123	—	2	8	no	—
159	C₁₃×#123	—	2	8	no	—
160	C₁₃×C₂²⋊Q₈	—	2	8	no	—
161	C₁₃×#121	—	2	8	no	—
162	C₁₃×#121	—	2	8	no	—
163	C₁₃×#121	—	2	4	no	—
164	C₁₃×#121	—	2	8	no	—
165	C₁₃×#121	—	4	4	no	—
166	C₁₃×#121	—	4	2	no	—
167	C₁₃×#121	—	4	2	no	—
168	C₁₃×#121	—	4	2	no	—
169	C₁₃×#120	—	2	8	no	—
170	C₁₃×#120	—	2	8	no	—
171	C₁₃×#120	—	2	8	no	—
172	C₄×D₄×C₁₃	—	2	8	no	—
173	C₄×D₄×C₁₃	—	2	4	no	—
174	C₄×D₄×C₁₃	—	2	4	no	—
175	C₄×D₄×C₁₃	—	4	2	no	—
176	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
177	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
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	1	yes	characteristic
182	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
195	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	—	4	2	no	—
230	C₂×C₄²×C₁₃	—	4	2	no	—
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
245	C₁₃×#95	C₂³	1	1	yes	characteristic
246	C₁₃×#95	C₂³	1	1	yes	characteristic
247	C₁₃×#95	C₂³	1	1	yes	characteristic
248	C₁₃×#95	C₂³	1	1	yes	characteristic
249	C₁₃×#95	C₂³	1	1	yes	characteristic
250	C₁₃×#95	C₂³	1	1	yes	characteristic
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	#35007	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
259	C₂⁴×C₁₃	—	2	4	no	—
260	C₂⁴×C₁₃	—	2	4	no	—
261	C₂⁴×C₁₃	—	2	4	no	—
262	C₂⁴×C₁₃	—	4	2	no	—
263	C₂⁴×C₁₃	—	4	2	no	—
264	C₂⁴×C₁₃	—	4	2	no	—
265	C₂⁴×C₁₃	—	4	2	no	—
266	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
267	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
268	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
269	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
270	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
271	C₂×Q₈×C₁₃	—	2	4	no	—
272	C₂×Q₈×C₁₃	—	4	2	no	—
273	C₂×Q₈×C₁₃	—	4	2	no	—
274	C₂×D₄×C₁₃	—	2	2	no	—
275	C₂×D₄×C₁₃	—	2	2	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	4	no	—
281	C₂×D₄×C₁₃	—	2	4	no	—
282	C₂×D₄×C₁₃	—	2	4	no	—
283	C₂×D₄×C₁₃	—	2	4	no	—
284	C₂×D₄×C₁₃	—	2	2	no	—
285	C₂×D₄×C₁₃	—	2	4	no	—
286	C₂×D₄×C₁₃	—	2	2	no	—
287	C₂×D₄×C₁₃	—	2	2	no	—
288	C₂×D₄×C₁₃	—	2	4	no	—
289	C₂×D₄×C₁₃	—	2	4	no	—
290	C₂×D₄×C₁₃	—	2	2	no	—
291	C₂×D₄×C₁₃	—	2	2	no	—
292	C₂×D₄×C₁₃	—	2	2	no	—
293	C₂×D₄×C₁₃	—	2	2	no	—
294	C₂×D₄×C₁₃	—	2	2	no	—
295	C₂×D₄×C₁₃	—	2	2	no	—
296	C₂×D₄×C₁₃	—	4	2	no	—
297	C₂×D₄×C₁₃	—	4	2	no	—
298	C₂×D₄×C₁₃	—	4	16	no	—
299	C₂×D₄×C₁₃	—	4	2	no	—
300	C₂×D₄×C₁₃	—	4	2	no	—
301	C₂×D₄×C₁₃	—	4	2	no	—
302	C₂×D₄×C₁₃	—	4	2	no	—
303	C₂×D₄×C₁₃	—	4	2	no	—
304	C₂×D₄×C₁₃	—	4	2	no	—
305	C₂×D₄×C₁₃	—	4	2	no	—
306	C₂×D₄×C₁₃	—	4	2	no	—
307	C₂×D₄×C₁₃	—	4	2	no	—
308	C₂×D₄×C₁₃	—	4	2	no	—
309	C₂×D₄×C₁₃	—	4	2	no	—
310	C₂×D₄×C₁₃	—	4	2	no	—
311	C₂×D₄×C₁₃	—	4	2	no	—
312	C₂×D₄×C₁₃	—	4	2	no	—
313	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
314	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
320	C₂²×C₄×C₁₃	—	2	2	no	—
321	C₂²×C₄×C₁₃	—	2	2	no	—
322	C₂²×C₄×C₁₃	—	2	2	no	—
323	C₂²×C₄×C₁₃	—	2	2	no	—
324	C₂²×C₄×C₁₃	—	2	4	no	—
325	C₂²×C₄×C₁₃	—	4	1	no	—
326	C₂²×C₄×C₁₃	—	4	1	no	—
327	C₂²×C₄×C₁₃	—	4	1	no	—
328	C₂²×C₄×C₁₃	—	4	1	no	—
329	C₂²×C₄×C₁₃	—	4	1	no	—
330	C₂²×C₄×C₁₃	—	4	1	no	—
331	C₂²×C₄×C₁₃	—	4	2	no	—
332	C₂²×C₄×C₁₃	—	4	2	no	—
333	C₂²×C₄×C₁₃	—	4	2	no	—
334	C₂²×C₄×C₁₃	—	4	2	no	—
335	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
336	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	complemented
337	C₂²×C₄×C₁₃	#41	1	4	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	2	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₁₃×C₄⋊C₄	—	2	4	no	—
357	C₁₃×C₄⋊C₄	—	2	4	no	—
358	C₁₃×C₄⋊C₄	—	2	4	no	—
359	C₁₃×C₄⋊C₄	—	2	4	no	—
360	C₁₃×C₄⋊C₄	—	2	4	no	—
361	C₁₃×C₄⋊C₄	—	2	2	no	—
362	C₁₃×C₄⋊C₄	—	2	2	no	—
363	C₁₃×C₄⋊C₄	—	2	2	no	—
364	C₁₃×C₄⋊C₄	—	2	2	no	—
365	C₁₃×C₄⋊C₄	—	2	2	no	—
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	2	no	—
368	C₁₃×C₄⋊C₄	—	4	2	no	—
369	C₁₃×C₄⋊C₄	—	4	2	no	—
370	C₁₃×C₄⋊C₄	—	4	2	no	—
371	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	complemented
372	C₁₃×C₂²⋊C₄	—	2	4	no	—
373	C₁₃×C₂²⋊C₄	—	2	4	no	—
374	C₁₃×C₂²⋊C₄	—	2	2	no	—
375	C₁₃×C₂²⋊C₄	—	2	4	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	—	2	4	no	—
382	C₁₃×C₂²⋊C₄	—	2	4	no	—
383	C₁₃×C₂²⋊C₄	—	2	4	no	—
384	C₁₃×C₂²⋊C₄	—	2	4	no	—
385	C₁₃×C₂²⋊C₄	—	2	2	no	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	4	no	—
388	C₁₃×C₂²⋊C₄	—	2	4	no	—
389	C₁₃×C₂²⋊C₄	—	2	4	no	—
390	C₁₃×C₂²⋊C₄	—	2	4	no	—
391	C₁₃×C₂²⋊C₄	—	2	4	no	—
392	C₁₃×C₂²⋊C₄	—	2	4	no	—
393	C₁₃×C₂²⋊C₄	—	4	2	no	—
394	C₁₃×C₂²⋊C₄	—	4	2	no	—
395	C₁₃×C₂²⋊C₄	—	4	2	no	—
396	C₁₃×C₂²⋊C₄	—	4	2	no	—
397	C₁₃×C₂²⋊C₄	—	4	2	no	—
398	C₁₃×C₂²⋊C₄	—	4	2	no	—
399	C₁₃×C₂²⋊C₄	—	4	2	no	—
400	C₁₃×C₂²⋊C₄	—	4	2	no	—
401	C₁₃×C₂²⋊C₄	—	4	2	no	—
402	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
403	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
404	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
405	C₄²×C₁₃	—	2	4	no	—
406	C₄²×C₁₃	—	2	2	no	—
407	C₄²×C₁₃	—	2	2	no	—
408	C₄²×C₁₃	—	2	2	no	—
409	C₄²×C₁₃	—	2	2	no	—
410	C₄²×C₁₃	—	2	2	no	—
411	C₄²×C₁₃	—	2	2	no	—
412	C₄²×C₁₃	—	2	2	no	—
413	C₄²×C₁₃	—	4	1	no	—
414	C₄²×C₁₃	—	4	1	no	—
415	C₄²×C₁₃	—	4	1	no	—
416	C₄²×C₁₃	—	4	1	no	—
417	C₄²×C₁₃	—	4	1	no	—
418	C₄²×C₁₃	C₂×D₄	1	4	yes	complemented
419	C₂×#538	C₂×C₁₃	1	2	yes	complemented
420	#2860	C₂×C₁₃	1	1	yes	characteristic, complemented
421	#2858	C₂×C₁₃	1	1	yes	characteristic, complemented
422	#2856	C₂×C₁₃	1	1	yes	characteristic, complemented
423	#2854	C₂×C₁₃	1	1	yes	characteristic, complemented
424	#2662	C₂×C₁₃	1	2	yes	complemented
425	#2661	C₂×C₁₃	1	2	yes	complemented
426	#2555	C₂×C₁₃	1	2	yes	complemented
427	#2554	C₂×C₁₃	1	2	yes	complemented
428	#2512	C₂×C₁₃	1	1	yes	characteristic, complemented
429	#2491	C₂×C₁₃	1	1	yes	characteristic, complemented
430	#2472	C₂×C₁₃	1	2	yes	complemented
431	#2445	C₂×C₁₃	1	1	yes	characteristic, complemented
432	#2440	C₂×C₁₃	1	1	yes	characteristic, complemented
433	#2433	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#2428	C₂×C₁₃	1	1	yes	characteristic, complemented
435	#2424	C₂×C₁₃	1	2	yes	complemented
436	#2416	C₂×C₁₃	1	1	yes	characteristic, complemented
437	#2408	C₂×C₁₃	1	1	yes	characteristic, complemented
438	#2321	C₂×C₁₃	1	2	yes	complemented
439	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
440	C₂×#390	C₂×C₁₃	1	1	yes	characteristic, complemented
441	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
442	C₂³×C₁₃	—	2	1	no	—
443	C₂³×C₁₃	—	2	1	no	—
444	C₂³×C₁₃	—	2	1	no	—
445	C₂³×C₁₃	—	2	1	no	—
446	C₂³×C₁₃	—	2	1	no	—
447	C₂³×C₁₃	—	2	1	no	—
448	C₂³×C₁₃	—	2	1	no	—
449	C₂³×C₁₃	—	2	1	no	—
450	C₂³×C₁₃	—	2	1	no	—
451	C₂³×C₁₃	—	2	1	no	—
452	C₂³×C₁₃	—	2	2	no	—
453	C₂³×C₁₃	—	2	2	no	—
454	C₂³×C₁₃	—	2	2	no	—
455	C₂³×C₁₃	—	2	2	no	—
456	C₂³×C₁₃	—	2	2	no	—
457	C₂³×C₁₃	—	2	2	no	—
458	C₂³×C₁₃	—	2	2	no	—
459	C₂³×C₁₃	—	2	2	no	—
460	C₂³×C₁₃	—	2	2	no	—
461	C₂³×C₁₃	—	2	2	no	—
462	C₂³×C₁₃	—	2	2	no	—
463	C₂³×C₁₃	—	2	2	no	—
464	C₂³×C₁₃	—	2	2	no	—
465	C₂³×C₁₃	—	2	2	no	—
466	C₂³×C₁₃	—	2	2	no	—
467	C₂³×C₁₃	—	2	2	no	—
468	C₂³×C₁₃	—	2	2	no	—
469	C₂³×C₁₃	—	2	2	no	—
470	C₂³×C₁₃	—	2	2	no	—
471	C₂³×C₁₃	—	2	2	no	—
472	C₂³×C₁₃	—	2	2	no	—
473	C₂³×C₁₃	—	4	8	no	—
474	C₂³×C₁₃	—	4	8	no	—
475	C₂³×C₁₃	—	4	8	no	—
476	C₂³×C₁₃	—	8	4	no	—
477	C₂³×C₁₃	—	8	4	no	—
478	C₂³×C₁₃	—	8	4	no	—
479	C₂³×C₁₃	—	8	4	no	—
480	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
481	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
482	C₂³×C₁₃	C₂×#41	1	2	yes	—
483	C₂³×C₁₃	C₂×#41	1	2	yes	—
484	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
485	Q₈×C₁₃	—	8	4	no	—
486	D₄×C₁₃	—	2	8	no	—
487	D₄×C₁₃	—	4	8	no	—
488	D₄×C₁₃	—	4	8	no	—
489	D₄×C₁₃	—	4	4	no	—
490	D₄×C₁₃	—	4	4	no	—
491	D₄×C₁₃	—	4	4	no	—
492	D₄×C₁₃	—	8	4	no	—
493	D₄×C₁₃	—	8	4	no	—
494	D₄×C₁₃	—	8	4	no	—
495	D₄×C₁₃	—	8	4	no	—
496	D₄×C₁₃	—	8	4	no	—
497	D₄×C₁₃	—	8	4	no	—
498	D₄×C₁₃	—	8	4	no	—
499	C₂×C₄×C₁₃	—	2	1	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	8	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	2	2	no	—
533	C₂×C₄×C₁₃	—	2	2	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	2	2	no	—
538	C₂×C₄×C₁₃	—	2	2	no	—
539	C₂×C₄×C₁₃	—	2	2	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	2	no	—
542	C₂×C₄×C₁₃	—	4	4	no	—
543	C₂×C₄×C₁₃	—	4	4	no	—
544	C₂×C₄×C₁₃	—	4	4	no	—
545	C₂×C₄×C₁₃	—	4	4	no	—
546	C₂×C₄×C₁₃	—	4	4	no	—
547	C₂×C₄×C₁₃	—	8	4	no	—
548	C₂×C₄×C₁₃	—	8	4	no	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
552	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
555	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
556	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
557	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
558	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
559	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
560	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
561	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
562	#538	—	2	16	no	—
563	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
564	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
565	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
566	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
567	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
568	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
569	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
570	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
571	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
572	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
573	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
574	C₂×#121	C₂²×C₁₃	1	2	yes	—
575	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
576	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
577	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
578	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
579	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
580	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
581	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
582	C₂×#120	C₂²×C₁₃	1	2	yes	—
583	C₂×#120	C₂²×C₁₃	1	2	yes	—
584	C₂×#120	C₂²×C₁₃	1	2	yes	—
585	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
586	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
587	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
588	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
589	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
590	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
591	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
592	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
593	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
594	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#398	C₂²×C₁₃	1	2	yes	complemented
596	#397	C₂²×C₁₃	1	2	yes	complemented
597	#396	C₂²×C₁₃	1	2	yes	complemented
598	#396	C₂²×C₁₃	1	2	yes	complemented
599	#395	C₂²×C₁₃	1	2	yes	complemented
600	#394	C₂²×C₁₃	1	2	yes	—
601	#394	C₂²×C₁₃	1	2	yes	complemented
602	#394	C₂²×C₁₃	1	2	yes	complemented
603	#394	C₂²×C₁₃	1	2	yes	complemented
604	#394	C₂²×C₁₃	1	2	yes	complemented
605	#394	C₂²×C₁₃	1	2	yes	complemented
606	#393	C₂²×C₁₃	1	2	yes	complemented
607	#392	C₂²×C₁₃	1	2	yes	—
608	#392	C₂²×C₁₃	1	2	yes	—
609	#392	C₂²×C₁₃	1	2	yes	—
610	#392	C₂²×C₁₃	1	2	yes	complemented
611	#390	C₂²×C₁₃	1	1	yes	characteristic
612	#390	C₂²×C₁₃	1	1	yes	characteristic
613	#390	C₂²×C₁₃	1	1	yes	characteristic
614	#390	C₂²×C₁₃	1	1	yes	characteristic
615	#390	C₂²×C₁₃	1	1	yes	characteristic
616	#390	C₂²×C₁₃	1	1	yes	characteristic
617	#390	C₂²×C₁₃	1	2	yes	—
618	#390	C₂²×C₁₃	1	1	yes	characteristic
619	#390	C₂²×C₁₃	1	1	yes	characteristic
620	#390	C₂²×C₁₃	1	2	yes	—
621	#390	C₂²×C₁₃	1	2	yes	complemented
622	#390	C₂²×C₁₃	1	2	yes	complemented
623	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#390	C₂²×C₁₃	1	2	yes	complemented
625	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#390	C₂²×C₁₃	1	2	yes	complemented
627	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
628	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#388	C₂²×C₁₃	1	2	yes	complemented
632	#388	C₂²×C₁₃	1	2	yes	complemented
633	#388	C₂²×C₁₃	1	2	yes	complemented
634	#388	C₂²×C₁₃	1	2	yes	complemented
635	#388	C₂²×C₁₃	1	2	yes	complemented
636	#388	C₂²×C₁₃	1	2	yes	complemented
637	#388	C₂²×C₁₃	1	2	yes	complemented
638	#388	C₂²×C₁₃	1	2	yes	complemented
639	#386	C₂²×C₁₃	1	2	yes	—
640	#386	C₂²×C₁₃	1	2	yes	—
641	#386	C₂²×C₁₃	1	2	yes	complemented
642	#386	C₂²×C₁₃	1	2	yes	complemented
643	#386	C₂²×C₁₃	1	2	yes	complemented
644	#385	C₂²×C₁₃	1	2	yes	—
645	#384	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#380	C₂²×C₁₃	1	1	yes	characteristic
647	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#379	C₂²×C₁₃	1	2	yes	—
649	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
654	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
655	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
656	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
660	C₄³	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	2	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	2	no	—
667	C₂²×C₁₃	—	2	2	no	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	2	2	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	1	no	—
674	C₂²×C₁₃	—	4	2	no	—
675	C₂²×C₁₃	—	4	2	no	—
676	C₂²×C₁₃	—	4	2	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	4	2	no	—
679	C₂²×C₁₃	—	4	2	no	—
680	C₂²×C₁₃	—	4	2	no	—
681	C₂²×C₁₃	—	4	2	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	4	2	no	—
684	C₂²×C₁₃	—	4	2	no	—
685	C₂²×C₁₃	—	4	2	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	4	2	no	—
688	C₂²×C₁₃	—	4	2	no	—
689	C₂²×C₁₃	—	4	2	no	—
690	C₂²×C₁₃	—	4	2	no	—
691	C₂²×C₁₃	—	4	2	no	—
692	C₂²×C₁₃	—	4	2	no	—
693	C₂²×C₁₃	—	4	2	no	—
694	C₂²×C₁₃	—	4	2	no	—
695	C₂²×C₁₃	—	8	16	no	—
696	C₂²×C₁₃	#532	1	4	yes	—
697	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
698	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
699	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
700	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
701	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
702	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂²×C₁₃	#585	1	1	yes	characteristic
704	C₄×C₁₃	—	2	2	no	—
705	C₄×C₁₃	—	2	2	no	—
706	C₄×C₁₃	—	2	2	no	—
707	C₄×C₁₃	—	2	2	no	—
708	C₄×C₁₃	—	2	2	no	—
709	C₄×C₁₃	—	2	2	no	—
710	C₄×C₁₃	—	2	2	no	—
711	C₄×C₁₃	—	2	2	no	—
712	C₄×C₁₃	—	2	2	no	—
713	C₄×C₁₃	—	4	2	no	—
714	C₄×C₁₃	—	4	1	no	—
715	C₄×C₁₃	—	4	1	no	—
716	C₄×C₁₃	—	4	2	no	—
717	C₄×C₁₃	—	4	2	no	—
718	C₄×C₁₃	—	4	2	no	—
719	C₄×C₁₃	—	4	2	no	—
720	C₄×C₁₃	—	4	1	no	—
721	C₄×C₁₃	#538	1	4	yes	complemented
722	C₂⁵	C₂³×C₁₃	1	2	yes	—
723	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
724	C₂²×D₄	—	2	4	no	—
725	C₂²×D₄	—	4	2	no	—
726	C₂²×D₄	—	4	2	no	—
727	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
728	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
729	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
730	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
731	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
732	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
733	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
734	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
735	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
736	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
737	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
738	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
739	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
740	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
741	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
742	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
743	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
744	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
745	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
746	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
747	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
748	C₄⋊Q₈	—	4	2	no	—
749	#127	—	4	2	no	—
750	#127	—	4	2	no	—
751	#126	—	2	8	no	—
752	#126	—	2	8	no	—
753	#124	—	2	8	no	—
754	#124	—	2	8	no	—
755	#124	—	4	4	no	—
756	#123	—	2	8	no	—
757	#123	—	2	8	no	—
758	C₂²⋊Q₈	—	2	8	no	—
759	#121	—	2	8	no	—
760	#121	—	2	8	no	—
761	#121	—	2	4	no	—
762	#121	—	2	8	no	—
763	#121	—	4	4	no	—
764	#121	—	4	2	no	—
765	#121	—	4	2	no	—
766	#121	—	4	2	no	—
767	#120	—	2	8	no	—
768	#120	—	2	8	no	—
769	#120	—	2	8	no	—
770	C₄×D₄	—	2	8	no	—
771	C₄×D₄	—	2	4	no	—
772	C₄×D₄	—	2	4	no	—
773	C₄×D₄	—	4	2	no	—
774	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
775	C₂×C₄⋊C₄	—	4	2	no	—
776	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
779	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
783	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
787	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
789	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
790	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
791	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	—	2	8	no	—
793	C₂×C₂²⋊C₄	—	4	4	no	—
794	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
823	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
827	C₂×C₄²	—	4	2	no	—
828	C₂×C₄²	—	4	2	no	—
829	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
830	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
831	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
832	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
833	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
834	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
836	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
838	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
839	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
840	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
841	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
842	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
843	#95	C₂³×C₁₃	1	1	yes	characteristic
844	#95	C₂³×C₁₃	1	1	yes	characteristic
845	#95	C₂³×C₁₃	1	1	yes	characteristic
846	#95	C₂³×C₁₃	1	1	yes	characteristic
847	#95	C₂³×C₁₃	1	1	yes	characteristic
848	#95	C₂³×C₁₃	1	1	yes	characteristic
849	#95	C₂³×C₁₃	1	2	yes	—
850	#95	C₂³×C₁₃	1	2	yes	—
851	#95	C₂³×C₁₃	1	2	yes	—
852	#95	C₂³×C₁₃	1	2	yes	—
853	#95	C₂³×C₁₃	1	2	yes	—
854	#95	C₂³×C₁₃	1	2	yes	—
855	#95	C₂³×C₁₃	1	2	yes	—
856	C₂×C₁₃	—	2	4	no	—
857	C₂×C₁₃	—	4	2	no	—
858	C₂×C₁₃	—	8	2	no	—
859	C₂×C₁₃	—	8	2	no	—
860	C₂×C₁₃	—	8	2	no	—
861	C₂×C₁₃	C₂×#532	1	1	yes	characteristic
862	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
863	C₂×C₁₃	#3460	1	1	yes	characteristic
864	C₂×C₁₃	#3496	1	1	yes	characteristic
865	C₂×C₁₃	#3498	1	1	yes	characteristic
866	C₂×C₁₃	#3514	1	1	yes	characteristic
867	C₂×C₁₃	#3519	1	1	yes	characteristic
868	C₂⁴	—	2	4	no	—
869	C₂⁴	—	2	4	no	—
870	C₂⁴	—	2	4	no	—
871	C₂⁴	—	4	2	no	—
872	C₂⁴	—	4	2	no	—
873	C₂⁴	—	4	2	no	—
874	C₂⁴	—	4	2	no	—
875	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
876	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
877	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
878	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
879	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
880	C₂×Q₈	—	2	4	no	—
881	C₂×Q₈	—	4	2	no	—
882	C₂×Q₈	—	4	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	4	no	—
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	4	no	—
888	C₂×D₄	—	2	4	no	—
889	C₂×D₄	—	2	4	no	—
890	C₂×D₄	—	2	4	no	—
891	C₂×D₄	—	2	4	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	4	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	4	no	—
898	C₂×D₄	—	2	4	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	4	2	no	—
907	C₂×D₄	—	4	16	no	—
908	C₂×D₄	—	4	2	no	—
909	C₂×D₄	—	4	2	no	—
910	C₂×D₄	—	4	2	no	—
911	C₂×D₄	—	4	2	no	—
912	C₂×D₄	—	4	2	no	—
913	C₂×D₄	—	4	2	no	—
914	C₂×D₄	—	4	2	no	—
915	C₂×D₄	—	4	2	no	—
916	C₂×D₄	—	4	2	no	—
917	C₂×D₄	—	4	2	no	—
918	C₂×D₄	—	4	2	no	—
919	C₂×D₄	—	4	2	no	—
920	C₂×D₄	—	4	2	no	—
921	C₂×D₄	—	4	2	no	—
922	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	4	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	4	no	—
934	C₂²×C₄	—	4	1	no	—
935	C₂²×C₄	—	4	1	no	—
936	C₂²×C₄	—	4	1	no	—
937	C₂²×C₄	—	4	1	no	—
938	C₂²×C₄	—	4	1	no	—
939	C₂²×C₄	—	4	1	no	—
940	C₂²×C₄	—	4	2	no	—
941	C₂²×C₄	—	4	2	no	—
942	C₂²×C₄	—	4	2	no	—
943	C₂²×C₄	—	4	2	no	—
944	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
945	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	complemented
946	C₂²×C₄	C₁₃×#41	1	4	yes	—
947	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
951	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
952	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
953	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
954	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
955	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₄⋊C₄	—	2	4	no	—
966	C₄⋊C₄	—	2	4	no	—
967	C₄⋊C₄	—	2	4	no	—
968	C₄⋊C₄	—	2	4	no	—
969	C₄⋊C₄	—	2	4	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	4	2	no	—
978	C₄⋊C₄	—	4	2	no	—
979	C₄⋊C₄	—	4	2	no	—
980	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	complemented
981	C₂²⋊C₄	—	2	4	no	—
982	C₂²⋊C₄	—	2	4	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	4	no	—
985	C₂²⋊C₄	—	2	4	no	—
986	C₂²⋊C₄	—	2	4	no	—
987	C₂²⋊C₄	—	2	4	no	—
988	C₂²⋊C₄	—	2	4	no	—
989	C₂²⋊C₄	—	2	4	no	—
990	C₂²⋊C₄	—	2	4	no	—
991	C₂²⋊C₄	—	2	4	no	—
992	C₂²⋊C₄	—	2	4	no	—
993	C₂²⋊C₄	—	2	4	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	4	no	—
997	C₂²⋊C₄	—	2	4	no	—
998	C₂²⋊C₄	—	2	4	no	—
999	C₂²⋊C₄	—	2	4	no	—
1000	C₂²⋊C₄	—	2	4	no	—
1001	C₂²⋊C₄	—	2	4	no	—
1002	C₂²⋊C₄	—	4	2	no	—
1003	C₂²⋊C₄	—	4	2	no	—
1004	C₂²⋊C₄	—	4	2	no	—
1005	C₂²⋊C₄	—	4	2	no	—
1006	C₂²⋊C₄	—	4	2	no	—
1007	C₂²⋊C₄	—	4	2	no	—
1008	C₂²⋊C₄	—	4	2	no	—
1009	C₂²⋊C₄	—	4	2	no	—
1010	C₂²⋊C₄	—	4	2	no	—
1011	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
1012	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	complemented
1013	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
1014	C₄²	—	2	4	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	2	no	—
1022	C₄²	—	4	1	no	—
1023	C₄²	—	4	1	no	—
1024	C₄²	—	4	1	no	—
1025	C₄²	—	4	1	no	—
1026	C₄²	—	4	1	no	—
1027	C₄²	C₂×D₄×C₁₃	1	4	yes	complemented
1028	C₁₃	#35007	1	1	yes	characteristic, direct product factor, Sylow
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	1	no	—
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	1	no	—
1039	C₂³	—	2	2	no	—
1040	C₂³	—	2	2	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	2	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	2	2	no	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	2	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	2	2	no	—
1052	C₂³	—	2	2	no	—
1053	C₂³	—	2	2	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	2	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	4	8	no	—
1061	C₂³	—	4	8	no	—
1062	C₂³	—	4	8	no	—
1063	C₂³	—	8	4	no	—
1064	C₂³	—	8	4	no	—
1065	C₂³	—	8	4	no	—
1066	C₂³	—	8	4	no	—
1067	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1068	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1069	C₂³	C₂×C₁₃×#41	1	2	yes	—
1070	C₂³	C₂×C₁₃×#41	1	2	yes	—
1071	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1072	Q₈	—	8	4	no	—
1073	D₄	—	2	8	no	—
1074	D₄	—	4	8	no	—
1075	D₄	—	4	8	no	—
1076	D₄	—	4	4	no	—
1077	D₄	—	4	4	no	—
1078	D₄	—	4	4	no	—
1079	D₄	—	8	4	no	—
1080	D₄	—	8	4	no	—
1081	D₄	—	8	4	no	—
1082	D₄	—	8	4	no	—
1083	D₄	—	8	4	no	—
1084	D₄	—	8	4	no	—
1085	D₄	—	8	4	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	8	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	2	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	2	no	—
1125	C₂×C₄	—	2	2	no	—
1126	C₂×C₄	—	2	2	no	—
1127	C₂×C₄	—	2	1	no	—
1128	C₂×C₄	—	2	2	no	—
1129	C₂×C₄	—	4	4	no	—
1130	C₂×C₄	—	4	4	no	—
1131	C₂×C₄	—	4	4	no	—
1132	C₂×C₄	—	4	4	no	—
1133	C₂×C₄	—	4	4	no	—
1134	C₂×C₄	—	8	4	no	—
1135	C₂×C₄	—	8	4	no	—
1136	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1137	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1138	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1139	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1140	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1141	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1142	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1143	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1144	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1145	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1146	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1147	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1148	C₂²	—	2	2	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	2	no	—
1151	C₂²	—	2	2	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	4	2	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	4	2	no	—
1166	C₂²	—	4	2	no	—
1167	C₂²	—	4	2	no	—
1168	C₂²	—	4	2	no	—
1169	C₂²	—	4	2	no	—
1170	C₂²	—	4	2	no	—
1171	C₂²	—	4	2	no	—
1172	C₂²	—	4	2	no	—
1173	C₂²	—	4	2	no	—
1174	C₂²	—	4	2	no	—
1175	C₂²	—	4	2	no	—
1176	C₂²	—	4	2	no	—
1177	C₂²	—	4	2	no	—
1178	C₂²	—	4	2	no	—
1179	C₂²	—	4	2	no	—
1180	C₂²	—	4	2	no	—
1181	C₂²	—	4	2	no	—
1182	C₂²	—	8	16	no	—
1183	C₂²	C₁₃×#532	1	4	yes	—
1184	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1185	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1186	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1187	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1188	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1189	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1190	C₂²	C₁₃×#585	1	1	yes	characteristic
1191	C₄	—	2	2	no	—
1192	C₄	—	2	2	no	—
1193	C₄	—	2	2	no	—
1194	C₄	—	2	2	no	—
1195	C₄	—	2	2	no	—
1196	C₄	—	2	2	no	—
1197	C₄	—	2	2	no	—
1198	C₄	—	2	2	no	—
1199	C₄	—	2	2	no	—
1200	C₄	—	4	1	no	—
1201	C₄	—	4	2	no	—
1202	C₄	—	4	1	no	—
1203	C₄	—	4	1	no	—
1204	C₄	—	4	2	no	—
1205	C₄	—	4	2	no	—
1206	C₄	—	4	2	no	—
1207	C₄	—	4	2	no	—
1208	C₄	C₁₃×#538	1	4	yes	complemented
1209	C₂	—	2	4	no	—
1210	C₂	—	4	2	no	—
1211	C₂	—	8	2	no	—
1212	C₂	—	8	2	no	—
1213	C₂	—	8	2	no	—
1214	C₂	C₂×C₁₃×#532	1	1	yes	characteristic
1215	C₂	C₂×C₁₃×#538	1	1	yes	characteristic
1216	C₂	C₁₃×#3460	1	1	yes	characteristic
1217	C₂	C₁₃×#3496	1	1	yes	characteristic
1218	C₂	C₁₃×#3498	1	1	yes	characteristic
1219	C₂	C₁₃×#3514	1	1	yes	characteristic
1220	C₂	C₁₃×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#538	C₂	semidirect
2. C₁₃×#2860	C₂	semidirect
3. C₁₃×#2858	C₂	semidirect
4. C₁₃×#2856	C₂	semidirect
5. C₁₃×#2854	C₂	semidirect
6. C₁₃×#2662	C₂	semidirect
7. C₁₃×#2661	C₂	semidirect
8. C₁₃×#2555	C₂	semidirect
9. C₁₃×#2554	C₂	semidirect
10. C₁₃×#2512	C₂	semidirect
11. C₁₃×#2491	C₂	semidirect
12. C₁₃×#2472	C₂	semidirect
13. C₁₃×#2445	C₂	semidirect
14. C₁₃×#2440	C₂	semidirect
15. C₁₃×#2433	C₂	semidirect
16. C₁₃×#2428	C₂	semidirect
17. C₁₃×#2424	C₂	semidirect
18. C₁₃×#2416	C₂	semidirect
19. C₁₃×#2408	C₂	semidirect
20. C₁₃×#2321	C₂	semidirect
21. C₄×C₁₃×#121	C₂	semidirect
22. C₂×C₁₃×#390	C₂	semidirect
23. C₄²×D₄×C₁₃	C₂	semidirect
26. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
29. C₂×C₁₃×#126	C₂²	semidirect
30. C₂×C₁₃×#126	C₂²	semidirect
31. C₂×C₁₃×#124	C₂²	semidirect
32. C₂×C₁₃×#124	C₂²	semidirect
33. C₂×C₁₃×#124	C₂²	semidirect
34. C₂×C₁₃×#123	C₂²	semidirect
35. C₂×C₁₃×#123	C₂²	semidirect
41. C₂×C₁₃×#121	C₂²	semidirect
42. C₂×C₁₃×#121	C₂²	semidirect
43. C₂×C₁₃×#121	C₂²	semidirect
44. C₂×C₁₃×#121	C₂²	semidirect
52. C₂×C₄×D₄×C₁₃	C₂²	semidirect
57. C₂²×C₄²×C₁₃	C₂²	semidirect
58. C₁₃×#398	C₂²	semidirect
59. C₁₃×#397	C₂²	semidirect
60. C₁₃×#396	C₂²	semidirect
61. C₁₃×#396	C₂²	semidirect
62. C₁₃×#395	C₂²	semidirect
64. C₁₃×#394	C₂²	semidirect
65. C₁₃×#394	C₂²	semidirect
66. C₁₃×#394	C₂²	semidirect
67. C₁₃×#394	C₂²	semidirect
68. C₁₃×#394	C₂²	semidirect
69. C₁₃×#393	C₂²	semidirect
73. C₁₃×#392	C₂²	semidirect
84. C₁₃×#390	C₂²	semidirect
85. C₁₃×#390	C₂²	semidirect
86. C₁₃×#390	C₂²	semidirect
87. C₁₃×#390	C₂²	semidirect
88. C₁₃×#390	C₂²	semidirect
89. C₁₃×#390	C₂²	semidirect
90. C₁₃×#389	C₂²	semidirect
91. C₁₃×#389	C₂²	semidirect
92. C₁₃×#389	C₂²	semidirect
93. C₁₃×#389	C₂²	semidirect
94. C₁₃×#388	C₂²	semidirect
95. C₁₃×#388	C₂²	semidirect
96. C₁₃×#388	C₂²	semidirect
97. C₁₃×#388	C₂²	semidirect
98. C₁₃×#388	C₂²	semidirect
99. C₁₃×#388	C₂²	semidirect
100. C₁₃×#388	C₂²	semidirect
101. C₁₃×#388	C₂²	semidirect
104. C₁₃×#386	C₂²	semidirect
105. C₁₃×#386	C₂²	semidirect
106. C₁₃×#386	C₂²	semidirect
108. C₁₃×#384	C₂²	semidirect
110. C₁₃×#380	C₂²	semidirect
112. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
113. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
114. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
115. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
119. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
120. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
121. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
122. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
123. C₄³×C₁₃	C₂²	semidirect
176. C₄×D₄×C₁₃	D₄	semidirect
258. #35007	C₁₃	direct (N × H)
336. C₂²×C₄×C₁₃	C₂×D₄	semidirect
371. C₁₃×C₄⋊C₄	C₂×D₄	semidirect
403. C₁₃×C₂²⋊C₄	C₂×D₄	semidirect
418. C₄²×C₁₃	C₂×D₄	semidirect
419. C₂×#538	C₂×C₁₃	semidirect
420. #2860	C₂×C₁₃	semidirect
421. #2858	C₂×C₁₃	semidirect
422. #2856	C₂×C₁₃	semidirect
423. #2854	C₂×C₁₃	semidirect
424. #2662	C₂×C₁₃	semidirect
425. #2661	C₂×C₁₃	semidirect
426. #2555	C₂×C₁₃	semidirect
427. #2554	C₂×C₁₃	semidirect
428. #2512	C₂×C₁₃	semidirect
429. #2491	C₂×C₁₃	semidirect
430. #2472	C₂×C₁₃	semidirect
431. #2445	C₂×C₁₃	semidirect
432. #2440	C₂×C₁₃	semidirect
433. #2433	C₂×C₁₃	semidirect
434. #2428	C₂×C₁₃	semidirect
435. #2424	C₂×C₁₃	semidirect
436. #2416	C₂×C₁₃	semidirect
437. #2408	C₂×C₁₃	semidirect
438. #2321	C₂×C₁₃	semidirect
439. C₄×#121	C₂×C₁₃	semidirect
440. C₂×#390	C₂×C₁₃	semidirect
441. C₄²×D₄	C₂×C₁₃	semidirect
563. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
566. C₂×#126	C₂²×C₁₃	semidirect
567. C₂×#126	C₂²×C₁₃	semidirect
568. C₂×#124	C₂²×C₁₃	semidirect
569. C₂×#124	C₂²×C₁₃	semidirect
570. C₂×#124	C₂²×C₁₃	semidirect
571. C₂×#123	C₂²×C₁₃	semidirect
572. C₂×#123	C₂²×C₁₃	semidirect
578. C₂×#121	C₂²×C₁₃	semidirect
579. C₂×#121	C₂²×C₁₃	semidirect
580. C₂×#121	C₂²×C₁₃	semidirect
581. C₂×#121	C₂²×C₁₃	semidirect
589. C₂×C₄×D₄	C₂²×C₁₃	semidirect
594. C₂²×C₄²	C₂²×C₁₃	semidirect
595. #398	C₂²×C₁₃	semidirect
596. #397	C₂²×C₁₃	semidirect
597. #396	C₂²×C₁₃	semidirect
598. #396	C₂²×C₁₃	semidirect
599. #395	C₂²×C₁₃	semidirect
601. #394	C₂²×C₁₃	semidirect
602. #394	C₂²×C₁₃	semidirect
603. #394	C₂²×C₁₃	semidirect
604. #394	C₂²×C₁₃	semidirect
605. #394	C₂²×C₁₃	semidirect
606. #393	C₂²×C₁₃	semidirect
610. #392	C₂²×C₁₃	semidirect
621. #390	C₂²×C₁₃	semidirect
622. #390	C₂²×C₁₃	semidirect
623. #390	C₂²×C₁₃	semidirect
624. #390	C₂²×C₁₃	semidirect
625. #390	C₂²×C₁₃	semidirect
626. #390	C₂²×C₁₃	semidirect
627. #389	C₂²×C₁₃	semidirect
628. #389	C₂²×C₁₃	semidirect
629. #389	C₂²×C₁₃	semidirect
630. #389	C₂²×C₁₃	semidirect
631. #388	C₂²×C₁₃	semidirect
632. #388	C₂²×C₁₃	semidirect
633. #388	C₂²×C₁₃	semidirect
634. #388	C₂²×C₁₃	semidirect
635. #388	C₂²×C₁₃	semidirect
636. #388	C₂²×C₁₃	semidirect
637. #388	C₂²×C₁₃	semidirect
638. #388	C₂²×C₁₃	semidirect
641. #386	C₂²×C₁₃	semidirect
642. #386	C₂²×C₁₃	semidirect
643. #386	C₂²×C₁₃	semidirect
645. #384	C₂²×C₁₃	semidirect
647. #380	C₂²×C₁₃	semidirect
649. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
650. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
651. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
652. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
656. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
657. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
658. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
659. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
660. C₄³	C₂²×C₁₃	semidirect
721. C₄×C₁₃	#538	semidirect
774. C₄×D₄	D₄×C₁₃	semidirect
945. C₂²×C₄	C₂×D₄×C₁₃	semidirect
980. C₄⋊C₄	C₂×D₄×C₁₃	semidirect
1012. C₂²⋊C₄	C₂×D₄×C₁₃	semidirect
1027. C₄²	C₂×D₄×C₁₃	semidirect
1028. C₁₃	#35007	direct (N × H)
1208. C₄	C₁₃×#538	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#538	2
C₁₃×#2860	2
C₁₃×#2858	2
C₁₃×#2856	2
C₁₃×#2854	2
C₁₃×#2662	2
C₁₃×#2661	2
C₁₃×#2555	2
C₁₃×#2554	2
C₁₃×#2512	2
C₁₃×#2491	2
C₁₃×#2472	2
C₁₃×#2445	2
C₁₃×#2440	2
C₁₃×#2433	2
C₁₃×#2428	2
C₁₃×#2424	2
C₁₃×#2416	2
C₁₃×#2408	2
C₁₃×#2321	2
C₄×C₁₃×#121	2
C₂×C₁₃×#390	2
C₄²×D₄×C₁₃	2
#35007	13

Subgroups — C13×#35007 #15721346

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#35007 #15721346