Subgroups — C₂×#13128991 #16770041

Order 3328.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128991	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719299	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719300	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719300	C₂	1	2	yes	maximal, complemented
5	C₂×#11719292	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719200	C₂	1	2	yes	maximal, complemented
7	C₂×#11719511	C₂	1	2	yes	maximal, complemented
8	C₂×#11719195	C₂	1	2	yes	maximal, complemented
9	C₂×#11719296	C₂	1	2	yes	maximal, complemented
10	C₂×D₄×C₂²⋊D₁₃	C₂	1	2	yes	maximal, complemented
11	C₂×#11719295	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719199	C₂	1	2	yes	maximal, complemented
13	C₂×#11719298	C₂	1	2	yes	maximal, complemented
14	C₂×#11719298	C₂	1	2	yes	maximal, complemented
15	C₂×#11719510	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719297	C₂	1	2	yes	maximal, complemented
17	C₂×#11719294	C₂	1	2	yes	maximal, complemented
18	C₂×#11719509	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#88207	C₂	1	2	yes	maximal, complemented
20	C₂²×C₁₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁶×C₁₃	C₂²	1	1	yes	characteristic, complemented
22	C₂³×D₄×C₁₃	C₂²	1	2	yes	complemented
23	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
24	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
25	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
26	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
27	C₂³×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#6129	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
30	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
35	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#120	C₂²	1	16	yes	complemented
38	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
39	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88207	C₂²	1	2	yes	—
41	C₂×#88207	C₂²	1	2	yes	complemented
42	C₂×#88207	C₂²	1	2	yes	complemented
43	C₂×#88207	C₂²	1	2	yes	complemented
44	C₂×#88207	C₂²	1	2	yes	complemented
45	C₂×#88207	C₂²	1	2	yes	complemented
46	C₂×#88207	C₂²	1	2	yes	complemented
47	C₂×#88207	C₂²	1	2	yes	complemented
48	C₂×#88207	C₂²	1	2	yes	complemented
49	C₂×#88207	C₂²	1	32	yes	complemented
50	C₂²×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
51	C₂²×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
52	C₂²×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
53	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
54	#11719511	C₂²	1	32	yes	complemented
55	#11719510	C₂²	1	16	yes	complemented
56	#11719509	C₂²	1	16	yes	complemented
57	C₂×#88194	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88194	C₂²	1	2	yes	complemented
59	C₂×#88194	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88193	C₂²	1	2	yes	complemented
61	C₂×#88193	C₂²	1	2	yes	complemented
62	C₂×#88193	C₂²	1	2	yes	complemented
63	C₂×#88193	C₂²	1	2	yes	complemented
64	C₂×#88193	C₂²	1	2	yes	complemented
65	C₂×#88193	C₂²	1	2	yes	complemented
66	D₄×C₂²⋊D₁₃	C₂²	1	32	yes	complemented
67	C₂×#88192	C₂²	1	2	yes	complemented
68	C₂×#88192	C₂²	1	2	yes	complemented
69	C₂×#88192	C₂²	1	2	yes	complemented
70	C₂×#88192	C₂²	1	2	yes	complemented
71	C₂×#88191	C₂²	1	2	yes	complemented
72	C₂×#88191	C₂²	1	1	yes	characteristic, complemented
73	C₂×#88191	C₂²	1	2	yes	complemented
74	C₂×#88191	C₂²	1	1	yes	characteristic, complemented
75	C₂×#88190	C₂²	1	2	yes	complemented
76	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
77	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
78	C₂×#88189	C₂²	1	2	yes	complemented
79	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
80	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88189	C₂²	1	2	yes	complemented
82	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
83	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
84	C₂×#88184	C₂²	1	2	yes	complemented
85	C₂×#88183	C₂²	1	2	yes	complemented
86	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
87	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
88	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
89	C₂×#88178	C₂²	1	2	yes	complemented
90	#11719300	C₂²	1	32	yes	complemented
91	#11719300	C₂²	1	16	yes	complemented
92	#11719299	C₂²	1	16	yes	complemented
93	#11719298	C₂²	1	32	yes	complemented
94	#11719298	C₂²	1	32	yes	complemented
95	#11719297	C₂²	1	32	yes	complemented
96	#11719296	C₂²	1	32	yes	complemented
97	#11719295	C₂²	1	16	yes	complemented
98	#11719294	C₂²	1	32	yes	complemented
99	#11719292	C₂²	1	16	yes	complemented
100	#11719200	C₂²	1	32	yes	complemented
101	#11719199	C₂²	1	32	yes	complemented
102	C₂×#88140	C₂²	1	2	yes	complemented
103	C₂×#88139	C₂²	1	2	yes	complemented
104	C₂×#88139	C₂²	1	2	yes	complemented
105	C₂×#88139	C₂²	1	2	yes	complemented
106	C₂×#88139	C₂²	1	2	yes	complemented
107	#11719195	C₂²	1	32	yes	complemented
108	C₂×#88138	C₂²	1	2	yes	complemented
109	C₂×#88138	C₂²	1	2	yes	complemented
110	C₂×#88138	C₂²	1	2	yes	complemented
111	C₂×#88138	C₂²	1	2	yes	complemented
112	C₂×#88137	C₂²	1	2	yes	complemented
113	C₂×#88137	C₂²	1	2	yes	complemented
114	C₂×#88137	C₂²	1	2	yes	complemented
115	C₂×#88137	C₂²	1	2	yes	complemented
116	C₂×#88136	C₂²	1	2	yes	complemented
117	C₂×#88135	C₂²	1	2	yes	complemented
118	C₂×#88135	C₂²	1	2	yes	complemented
119	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
120	C₂×#88133	C₂²	1	2	yes	complemented
121	C₂×#88133	C₂²	1	2	yes	complemented
122	C₂×#88133	C₂²	1	2	yes	complemented
123	C₂×#88133	C₂²	1	2	yes	complemented
124	C₂×#88132	C₂²	1	2	yes	complemented
125	C₂×#88132	C₂²	1	2	yes	complemented
126	C₂×#88131	C₂²	1	2	yes	complemented
127	C₂⁵×C₁₃	—	4	8	no	—
128	C₂⁵×C₁₃	—	4	4	no	—
129	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
130	C₂⁵×C₁₃	C₂³	1	2	yes	—
131	C₂⁵×C₁₃	C₂³	1	2	yes	—
132	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
133	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
134	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
135	C₂⁵×C₁₃	C₂³	1	8	yes	complemented
136	C₂⁴×D₁₃	C₂³	1	2	yes	—
137	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic, complemented
138	C₂²×D₄×C₁₃	—	4	4	no	—
139	C₂²×D₄×C₁₃	—	4	8	no	—
140	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	C₂³	1	16	yes	complemented
149	C₂²×D₄×C₁₃	C₂³	1	8	yes	complemented
150	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
152	C₂²×C₂²⋊D₁₃	—	4	8	no	—
153	C₂²×C₂²⋊D₁₃	—	4	8	no	—
154	C₂²×C₂²⋊D₁₃	—	4	8	no	—
155	C₂²×C₂²⋊D₁₃	—	4	4	no	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
169	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
170	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
171	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
172	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
173	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	complemented
174	C₂²×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
175	C₂³×Dic₁₃	C₂³	1	2	yes	—
176	C₂³×Dic₁₃	C₂³	1	2	yes	—
177	C₂³×Dic₁₃	C₂³	1	2	yes	—
178	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
179	C₂³×Dic₁₃	C₂³	1	2	yes	complemented
180	C₂×#6129	—	4	8	no	—
181	C₂×#6129	C₂³	1	16	yes	complemented
182	C₂×D₄×D₁₃	—	4	8	no	—
183	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
184	C₂×#6127	—	4	4	no	—
185	C₂×#6127	C₂³	1	8	yes	complemented
186	C₂²×D₅₂	C₂³	1	1	yes	characteristic, complemented
187	C₂²×D₅₂	C₂³	1	2	yes	complemented
188	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
189	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
191	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
192	C₂²×Dic₂₆	C₂³	1	2	yes	complemented
193	C₁₃×#120	C₂³	1	8	yes	—
194	C₁₃×#120	C₂³	1	16	yes	complemented
195	C₁₃×#120	C₂³	1	8	yes	complemented
196	C₁₃×#120	C₂³	1	16	yes	complemented
197	C₁₃×#120	C₂³	1	8	yes	complemented
198	C₁₃×#120	C₂³	1	8	yes	complemented
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	1	yes	characteristic
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	1	yes	characteristic
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
208	#88207	C₂³	1	16	yes	—
209	#88207	C₂³	1	16	yes	complemented
210	#88207	C₂³	1	16	yes	complemented
211	#88207	C₂³	1	16	yes	complemented
212	#88207	C₂³	1	16	yes	complemented
213	#88207	C₂³	1	16	yes	complemented
214	#88207	C₂³	1	16	yes	complemented
215	#88207	C₂³	1	16	yes	complemented
216	#88207	C₂³	1	16	yes	complemented
217	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
218	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
219	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
220	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
221	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
222	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
223	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
224	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
225	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
226	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
227	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
228	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
229	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	complemented
230	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	complemented
231	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	complemented
232	C₂×C₂²⋊Dic₁₃	C₂³	1	8	yes	complemented
233	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	complemented
234	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	complemented
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
237	#88194	C₂³	1	16	yes	complemented
238	#88194	C₂³	1	8	yes	complemented
239	#88194	C₂³	1	8	yes	complemented
240	#88193	C₂³	1	16	yes	complemented
241	#88193	C₂³	1	16	yes	complemented
242	#88193	C₂³	1	16	yes	complemented
243	#88193	C₂³	1	16	yes	complemented
244	#88193	C₂³	1	16	yes	complemented
245	#88193	C₂³	1	16	yes	complemented
246	#88192	C₂³	1	16	yes	complemented
247	#88192	C₂³	1	16	yes	complemented
248	#88192	C₂³	1	16	yes	complemented
249	#88192	C₂³	1	16	yes	complemented
250	#88191	C₂³	1	16	yes	complemented
251	#88191	C₂³	1	16	yes	complemented
252	#88191	C₂³	1	8	yes	complemented
253	#88191	C₂³	1	8	yes	complemented
254	#88190	C₂³	1	8	yes	complemented
255	#88190	C₂³	1	8	yes	complemented
256	#88190	C₂³	1	16	yes	complemented
257	#88189	C₂³	1	8	yes	complemented
258	#88189	C₂³	1	8	yes	complemented
259	#88189	C₂³	1	16	yes	complemented
260	#88189	C₂³	1	16	yes	complemented
261	D₄×Dic₁₃	C₂³	1	16	yes	complemented
262	D₄×Dic₁₃	C₂³	1	16	yes	complemented
263	#88184	C₂³	1	16	yes	complemented
264	#88183	C₂³	1	16	yes	complemented
265	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
266	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
267	C₂×#6103	C₂³	1	2	yes	complemented
268	C₂×#6103	C₂³	1	2	yes	complemented
269	C₂×#6103	C₂³	1	2	yes	complemented
270	C₂×#6103	C₂³	1	2	yes	complemented
271	C₂×#6103	C₂³	1	2	yes	complemented
272	C₂×#6103	C₂³	1	2	yes	complemented
273	#88180	C₂³	1	8	yes	complemented
274	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
275	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
276	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
277	#88178	C₂³	1	16	yes	complemented
278	C₂×#6101	C₂³	1	2	yes	complemented
279	C₂×#6101	C₂³	1	2	yes	complemented
280	C₂×#6101	C₂³	1	2	yes	complemented
281	C₂×#6101	C₂³	1	2	yes	complemented
282	C₂×#6101	C₂³	1	2	yes	complemented
283	C₂×#6101	C₂³	1	2	yes	complemented
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
285	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
287	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
288	#88140	C₂³	1	16	yes	complemented
289	#88139	C₂³	1	16	yes	complemented
290	#88139	C₂³	1	16	yes	complemented
291	#88139	C₂³	1	16	yes	complemented
292	#88139	C₂³	1	16	yes	complemented
293	#88138	C₂³	1	16	yes	complemented
294	#88138	C₂³	1	16	yes	complemented
295	#88138	C₂³	1	16	yes	complemented
296	#88138	C₂³	1	16	yes	complemented
297	#88137	C₂³	1	16	yes	complemented
298	#88137	C₂³	1	16	yes	complemented
299	#88137	C₂³	1	16	yes	complemented
300	#88137	C₂³	1	16	yes	complemented
301	#88136	C₂³	1	16	yes	complemented
302	#88135	C₂³	1	16	yes	complemented
303	#88135	C₂³	1	16	yes	complemented
304	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
305	#88133	C₂³	1	16	yes	complemented
306	#88133	C₂³	1	16	yes	complemented
307	#88133	C₂³	1	16	yes	complemented
308	#88133	C₂³	1	16	yes	complemented
309	#88132	C₂³	1	16	yes	complemented
310	#88132	C₂³	1	16	yes	complemented
311	#88131	C₂³	1	16	yes	complemented
312	C₂×#3532	—	13	1	no	maximal, Sylow
313	C₂⁴×C₁₃	—	2	8	no	—
314	C₂⁴×C₁₃	—	2	8	no	—
315	C₂⁴×C₁₃	—	2	8	no	—
316	C₂⁴×C₁₃	—	2	8	no	—
317	C₂⁴×C₁₃	—	2	4	no	—
318	C₂⁴×C₁₃	—	2	4	no	—
319	C₂⁴×C₁₃	—	4	2	no	—
320	C₂⁴×C₁₃	—	4	4	no	—
321	C₂⁴×C₁₃	—	4	4	no	—
322	C₂⁴×C₁₃	—	4	4	no	—
323	C₂⁴×C₁₃	—	4	4	no	—
324	C₂⁴×C₁₃	—	4	2	no	—
325	C₂⁴×C₁₃	—	4	4	no	—
326	C₂⁴×C₁₃	—	4	32	no	—
327	C₂⁴×C₁₃	—	4	16	no	—
328	C₂⁴×C₁₃	—	4	4	no	—
329	C₂⁴×C₁₃	—	4	64	no	—
330	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
331	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
336	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
337	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
339	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
340	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
341	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
342	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
343	C₂³×D₁₃	—	2	8	no	—
344	C₂³×D₁₃	—	4	4	no	—
345	C₂³×D₁₃	—	4	4	no	—
346	C₂³×D₁₃	—	4	4	no	—
347	C₂³×D₁₃	—	4	2	no	—
348	C₂³×D₁₃	C₂⁴	1	2	yes	—
349	C₂³×D₁₃	C₂⁴	1	2	yes	—
350	C₂³×D₁₃	C₂⁴	1	8	yes	—
351	C₂³×D₁₃	C₂⁴	1	4	yes	complemented
352	C₂×D₄×C₁₃	—	2	8	no	—
353	C₂×D₄×C₁₃	—	2	8	no	—
354	C₂×D₄×C₁₃	—	4	4	no	—
355	C₂×D₄×C₁₃	—	4	2	no	—
356	C₂×D₄×C₁₃	—	4	2	no	—
357	C₂×D₄×C₁₃	—	4	2	no	—
358	C₂×D₄×C₁₃	—	4	2	no	—
359	C₂×D₄×C₁₃	—	4	4	no	—
360	C₂×D₄×C₁₃	—	4	16	no	—
361	C₂×D₄×C₁₃	—	4	32	no	—
362	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
363	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
364	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
365	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
366	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
367	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
368	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
369	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
370	C₂²×C₄×C₁₃	—	2	4	no	—
371	C₂²×C₄×C₁₃	—	4	4	no	—
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
378	C₂×C₂²⋊D₁₃	—	2	8	no	—
379	C₂×C₂²⋊D₁₃	—	2	8	no	—
380	C₂×C₂²⋊D₁₃	—	2	8	no	—
381	C₂×C₂²⋊D₁₃	—	2	8	no	—
382	C₂×C₂²⋊D₁₃	—	4	4	no	—
383	C₂×C₂²⋊D₁₃	—	4	4	no	—
384	C₂×C₂²⋊D₁₃	—	4	4	no	—
385	C₂×C₂²⋊D₁₃	—	4	4	no	—
386	C₂×C₂²⋊D₁₃	—	4	4	no	—
387	C₂×C₂²⋊D₁₃	—	4	4	no	—
388	C₂×C₂²⋊D₁₃	—	4	4	no	—
389	C₂×C₂²⋊D₁₃	—	4	4	no	—
390	C₂×C₂²⋊D₁₃	—	4	4	no	—
391	C₂×C₂²⋊D₁₃	—	4	4	no	—
392	C₂×C₂²⋊D₁₃	—	4	32	no	—
393	C₂×C₂²⋊D₁₃	—	4	4	no	—
394	C₂×C₂²⋊D₁₃	—	4	32	no	—
395	C₂×C₂²⋊D₁₃	—	4	32	no	—
396	C₂×C₂²⋊D₁₃	—	4	16	no	—
397	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
405	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	complemented
410	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	complemented
411	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	complemented
412	C₂²×Dic₁₃	—	2	8	no	—
413	C₂²×Dic₁₃	—	4	4	no	—
414	C₂²×Dic₁₃	—	4	4	no	—
415	C₂²×Dic₁₃	—	4	4	no	—
416	C₂²×Dic₁₃	—	4	2	no	—
417	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
418	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
419	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
420	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
421	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
422	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
423	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
424	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
425	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
426	C₂²×Dic₁₃	C₂⁴	1	4	yes	complemented
427	C₂²×Dic₁₃	C₂⁴	1	8	yes	complemented
428	#6129	—	4	32	no	—
429	D₄×D₁₃	—	4	32	no	—
430	#6127	—	4	16	no	—
431	C₂×D₅₂	—	4	2	no	—
432	C₂×D₅₂	—	4	4	no	—
433	C₂×D₅₂	C₂⁴	1	4	yes	complemented
434	C₂×D₅₂	C₂⁴	1	8	yes	complemented
435	C₂×C₄×D₁₃	—	4	4	no	—
436	C₂×C₄×D₁₃	—	4	4	no	—
437	C₂×C₄×D₁₃	—	4	4	no	—
438	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
439	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
440	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
441	C₂×Dic₂₆	—	4	2	no	—
442	C₂×Dic₂₆	—	4	4	no	—
443	C₂×Dic₂₆	C₂⁴	1	4	yes	complemented
444	C₂×Dic₂₆	C₂⁴	1	8	yes	complemented
445	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
446	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
447	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
448	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
449	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
450	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
452	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
453	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
454	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
456	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
458	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
459	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
460	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
461	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
462	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
463	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
464	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
465	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
466	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	complemented
467	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	complemented
468	#6103	C₂⁴	1	8	yes	complemented
469	#6103	C₂⁴	1	8	yes	complemented
470	#6103	C₂⁴	1	8	yes	complemented
471	#6103	C₂⁴	1	8	yes	complemented
472	#6103	C₂⁴	1	8	yes	complemented
473	#6103	C₂⁴	1	8	yes	complemented
474	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
475	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
476	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
477	#6101	C₂⁴	1	8	yes	complemented
478	#6101	C₂⁴	1	8	yes	complemented
479	#6101	C₂⁴	1	8	yes	complemented
480	#6101	C₂⁴	1	8	yes	complemented
481	#6101	C₂⁴	1	8	yes	complemented
482	#6101	C₂⁴	1	8	yes	complemented
483	C₄×Dic₁₃	C₂⁴	1	4	yes	complemented
484	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
485	C₄×Dic₁₃	C₂⁴	1	4	yes	complemented
486	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
487	#3532	—	13	32	no	—
488	C₂×H(3,𝔽₄)	—	13	1	no	—
489	C₂×#560	—	13	1	no	—
490	C₂×#560	—	13	2	no	—
491	C₂×#551	—	13	1	no	—
492	C₂×#551	—	13	2	no	—
493	C₂×#546	—	13	2	no	—
494	C₂×#546	—	13	2	no	—
495	C₂×#546	—	13	2	no	—
496	C₂×D₄²	—	13	2	no	—
497	C₂×D₄²	—	13	1	no	—
498	C₂×#538	—	13	2	no	—
499	C₂×#538	—	13	2	no	—
500	C₂×#538	—	13	2	no	—
501	C₂×#535	—	13	1	no	—
502	C₂×#535	—	13	2	no	—
503	C₂×#534	—	13	1	no	—
504	C₂×#534	—	13	2	no	—
505	C₂²×#120	—	13	2	no	—
506	C₂²×#120	D₁₃	1	1	yes	characteristic, complemented
507	C₂³×C₁₃	—	2	4	no	—
508	C₂³×C₁₃	—	2	4	no	—
509	C₂³×C₁₃	—	2	4	no	—
510	C₂³×C₁₃	—	2	4	no	—
511	C₂³×C₁₃	—	2	2	no	—
512	C₂³×C₁₃	—	2	2	no	—
513	C₂³×C₁₃	—	2	16	no	—
514	C₂³×C₁₃	—	2	16	no	—
515	C₂³×C₁₃	—	2	16	no	—
516	C₂³×C₁₃	—	2	4	no	—
517	C₂³×C₁₃	—	2	4	no	—
518	C₂³×C₁₃	—	2	4	no	—
519	C₂³×C₁₃	—	2	4	no	—
520	C₂³×C₁₃	—	2	4	no	—
521	C₂³×C₁₃	—	2	16	no	—
522	C₂³×C₁₃	—	2	8	no	—
523	C₂³×C₁₃	—	2	2	no	—
524	C₂³×C₁₃	—	2	4	no	—
525	C₂³×C₁₃	—	2	2	no	—
526	C₂³×C₁₃	—	2	8	no	—
527	C₂³×C₁₃	—	4	4	no	—
528	C₂³×C₁₃	—	4	8	no	—
529	C₂³×C₁₃	—	4	8	no	—
530	C₂³×C₁₃	—	4	8	no	—
531	C₂³×C₁₃	—	4	8	no	—
532	C₂³×C₁₃	—	4	4	no	—
533	C₂³×C₁₃	—	4	8	no	—
534	C₂³×C₁₃	—	4	8	no	—
535	C₂³×C₁₃	—	4	16	no	—
536	C₂³×C₁₃	—	4	32	no	—
537	C₂³×C₁₃	—	4	32	no	—
538	C₂³×C₁₃	—	4	16	no	—
539	C₂³×C₁₃	—	4	128	no	—
540	C₂³×C₁₃	—	4	16	no	—
541	C₂³×C₁₃	—	8	8	no	—
542	C₂³×C₁₃	H(5,𝔽₂)	1	8	yes	—
543	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
544	C₂³×C₁₃	C₂⁵	1	4	yes	—
545	C₂³×C₁₃	C₂⁵	1	2	yes	—
546	C₂³×C₁₃	C₂⁵	1	2	yes	—
547	C₂³×C₁₃	C₂⁵	1	2	yes	—
548	C₂³×C₁₃	C₂⁵	1	2	yes	—
549	C₂³×C₁₃	C₂⁵	1	2	yes	—
550	C₂³×C₁₃	C₂⁵	1	4	yes	—
551	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
552	C₂²×D₁₃	—	2	4	no	—
553	C₂²×D₁₃	—	2	4	no	—
554	C₂²×D₁₃	—	2	4	no	—
555	C₂²×D₁₃	—	2	4	no	—
556	C₂²×D₁₃	—	2	4	no	—
557	C₂²×D₁₃	—	2	4	no	—
558	C₂²×D₁₃	—	2	16	no	—
559	C₂²×D₁₃	—	4	8	no	—
560	C₂²×D₁₃	—	4	8	no	—
561	C₂²×D₁₃	—	4	8	no	—
562	C₂²×D₁₃	—	4	4	no	—
563	C₂²×D₁₃	—	8	16	no	—
564	C₂²×D₁₃	—	8	8	no	—
565	C₂²×D₁₃	C₂⁵	1	4	yes	—
566	C₂²×D₁₃	C₂⁵	1	4	yes	—
567	D₄×C₁₃	—	2	16	no	—
568	D₄×C₁₃	—	2	16	no	—
569	D₄×C₁₃	—	4	8	no	—
570	D₄×C₁₃	—	4	4	no	—
571	D₄×C₁₃	—	4	4	no	—
572	D₄×C₁₃	—	4	4	no	—
573	D₄×C₁₃	—	4	4	no	—
574	D₄×C₁₃	—	4	8	no	—
575	C₂×C₄×C₁₃	—	2	4	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	4	no	—
579	C₂×C₄×C₁₃	—	2	8	no	—
580	C₂×C₄×C₁₃	—	4	8	no	—
581	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
582	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
583	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
584	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
585	C₂²⋊D₁₃	—	2	16	no	—
586	C₂²⋊D₁₃	—	2	16	no	—
587	C₂²⋊D₁₃	—	2	16	no	—
588	C₂²⋊D₁₃	—	2	16	no	—
589	C₂²⋊D₁₃	—	4	8	no	—
590	C₂²⋊D₁₃	—	4	8	no	—
591	C₂²⋊D₁₃	—	4	8	no	—
592	C₂²⋊D₁₃	—	4	8	no	—
593	C₂²⋊D₁₃	—	4	8	no	—
594	C₂²⋊D₁₃	—	4	8	no	—
595	C₂²⋊D₁₃	—	4	8	no	—
596	C₂²⋊D₁₃	—	4	8	no	—
597	C₂²⋊D₁₃	—	4	8	no	—
598	C₂²⋊D₁₃	—	4	8	no	—
599	C₂²⋊D₁₃	—	4	8	no	—
600	C₂×Dic₁₃	—	2	4	no	—
601	C₂×Dic₁₃	—	2	4	no	—
602	C₂×Dic₁₃	—	2	4	no	—
603	C₂×Dic₁₃	—	2	4	no	—
604	C₂×Dic₁₃	—	2	4	no	—
605	C₂×Dic₁₃	—	2	16	no	—
606	C₂×Dic₁₃	—	2	4	no	—
607	C₂×Dic₁₃	—	4	8	no	—
608	C₂×Dic₁₃	—	4	8	no	—
609	C₂×Dic₁₃	—	4	8	no	—
610	C₂×Dic₁₃	—	4	4	no	—
611	C₂×Dic₁₃	C₂⁵	1	4	yes	—
612	C₂×Dic₁₃	C₂⁵	1	4	yes	—
613	C₂×Dic₁₃	C₂⁵	1	4	yes	—
614	C₂×Dic₁₃	C₂⁵	1	4	yes	—
615	C₂×Dic₁₃	C₂⁵	1	4	yes	—
616	C₂×Dic₁₃	C₂⁵	1	4	yes	—
617	D₅₂	—	4	4	no	—
618	D₅₂	—	4	8	no	—
619	C₄×D₁₃	—	4	8	no	—
620	C₄×D₁₃	—	4	8	no	—
621	C₄×D₁₃	—	4	8	no	—
622	Dic₂₆	—	4	4	no	—
623	Dic₂₆	—	4	8	no	—
624	C₂⁶	C₂×D₁₃	1	1	yes	characteristic, complemented
625	C₂²×#41	—	13	2	no	—
626	C₂²×#41	—	13	1	no	—
627	C₂³×D₄	—	13	2	no	—
628	C₂³×D₄	—	13	2	no	—
629	C₂³×D₄	—	13	2	no	—
630	C₂³×D₄	—	13	1	no	—
631	C₂³×D₄	—	13	2	no	—
632	C₂³×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
633	C₂³×D₄	C₂×D₁₃	1	2	yes	complemented
634	H(3,𝔽₄)	—	13	16	no	—
635	#560	—	13	16	no	—
636	#560	—	13	32	no	—
637	#551	—	13	16	no	—
638	#551	—	13	32	no	—
639	#546	—	13	32	no	—
640	#546	—	13	32	no	—
641	#546	—	13	32	no	—
642	D₄²	—	13	32	no	—
643	D₄²	—	13	16	no	—
644	#538	—	13	32	no	—
645	#538	—	13	32	no	—
646	#538	—	13	32	no	—
647	#535	—	13	16	no	—
648	#535	—	13	32	no	—
649	#534	—	13	16	no	—
650	#534	—	13	32	no	—
651	C₂×#127	—	13	1	no	—
652	C₂×#127	—	13	2	no	—
653	C₂×#127	—	13	1	no	—
654	C₂×#126	—	13	2	no	—
655	C₂×#126	—	13	2	no	—
656	C₂×#126	—	13	2	no	—
657	C₂×#126	—	13	2	no	—
658	C₂×#124	—	13	1	no	—
659	C₂×#124	—	13	1	no	—
660	C₂×#124	—	13	2	no	—
661	C₂×#124	—	13	2	no	—
662	C₂×#124	—	13	2	no	—
663	C₂×#124	—	13	2	no	—
664	C₂×#124	—	13	2	no	—
665	C₂×#123	—	13	1	no	—
666	C₂×#123	—	13	2	no	—
667	C₂×#123	—	13	1	no	—
668	C₂×#123	—	13	2	no	—
669	C₂×#123	—	13	2	no	—
670	C₂×#123	—	13	2	no	—
671	C₂×#123	—	13	2	no	—
672	C₂×#123	—	13	2	no	—
673	C₂×#123	—	13	2	no	—
674	C₂×#123	—	13	2	no	—
675	C₂×C₂²⋊Q₈	—	13	2	no	—
676	C₂×C₂²⋊Q₈	—	13	2	no	—
677	C₂×C₂²⋊Q₈	—	13	2	no	—
678	C₂×#121	—	13	2	no	—
679	C₂×#121	—	13	2	no	—
680	C₂×#121	—	13	2	no	—
681	C₂×#121	—	13	2	no	—
682	C₂×#121	—	13	2	no	—
683	C₂×#121	—	13	2	no	—
684	C₂×#121	—	13	2	no	—
685	C₂×#121	—	13	2	no	—
686	C₂×#121	—	13	2	no	—
687	C₂×#121	—	13	2	no	—
688	C₂×#121	—	13	2	no	—
689	C₂×#121	—	13	2	no	—
690	C₂×#121	—	13	2	no	—
691	C₂×#121	—	13	2	no	—
692	C₂×#121	—	13	2	no	—
693	C₂×#120	—	13	2	no	—
694	C₂×#120	—	13	2	no	—
695	C₂×#120	—	13	2	no	—
696	C₂×#120	—	13	2	no	—
697	C₂×#120	—	13	2	no	—
698	C₂×#120	—	13	2	no	—
699	C₂×#120	—	13	2	no	—
700	C₂×#120	—	13	2	no	—
701	C₂×#120	—	13	2	no	—
702	C₂×#120	—	13	32	no	—
703	C₂×#120	—	13	1	no	—
704	C₂×#120	—	13	1	no	—
705	C₂×#120	—	13	2	no	—
706	C₂×#120	—	13	2	no	—
707	C₂×#120	—	13	2	no	—
708	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
709	C₂×#120	C₂×D₁₃	1	2	yes	complemented
710	C₂×#120	C₂×D₁₃	1	2	yes	complemented
711	C₂×#120	C₂×D₁₃	1	1	yes	characteristic, complemented
712	C₂×#120	C₂×D₁₃	1	1	yes	characteristic, complemented
713	C₂×#120	C₂×D₁₃	1	1	yes	characteristic, complemented
714	C₂×#120	C₂×D₁₃	1	16	yes	complemented
715	C₂×C₄×D₄	—	13	2	no	—
716	C₂×C₄×D₄	—	13	2	no	—
717	C₂×C₄×D₄	—	13	2	no	—
718	C₂×C₄×D₄	—	13	2	no	—
719	C₂×C₄×D₄	—	13	2	no	—
720	C₂×C₄×D₄	—	13	2	no	—
721	C₂×#117	—	13	1	no	—
722	C₂×#117	—	13	2	no	—
723	C₂²×C₂²⋊C₄	—	13	2	no	—
724	C₂²×C₂²⋊C₄	—	13	2	no	—
725	C₂²×C₂²⋊C₄	—	13	2	no	—
726	C₂²×C₂²⋊C₄	—	13	1	no	—
727	C₂²×C₂²⋊C₄	—	13	2	no	—
728	C₂²×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
729	C₂²×C₂²⋊C₄	C₂×D₁₃	1	2	yes	complemented
730	C₂²×C₁₃	—	2	4	no	—
731	C₂²×C₁₃	—	2	4	no	—
732	C₂²×C₁₃	—	2	4	no	—
733	C₂²×C₁₃	—	2	16	no	—
734	C₂²×C₁₃	—	2	8	no	—
735	C₂²×C₁₃	—	2	4	no	—
736	C₂²×C₁₃	—	2	2	no	—
737	C₂²×C₁₃	—	2	2	no	—
738	C₂²×C₁₃	—	2	4	no	—
739	C₂²×C₁₃	—	2	4	no	—
740	C₂²×C₁₃	—	2	4	no	—
741	C₂²×C₁₃	—	2	4	no	—
742	C₂²×C₁₃	—	2	4	no	—
743	C₂²×C₁₃	—	2	2	no	—
744	C₂²×C₁₃	—	2	4	no	—
745	C₂²×C₁₃	—	2	2	no	—
746	C₂²×C₁₃	—	4	16	no	—
747	C₂²×C₁₃	—	4	32	no	—
748	C₂²×C₁₃	—	4	32	no	—
749	C₂²×C₁₃	—	4	16	no	—
750	C₂²×C₁₃	—	4	16	no	—
751	C₂²×C₁₃	—	4	4	no	—
752	C₂²×C₁₃	—	4	4	no	—
753	C₂²×C₁₃	—	4	8	no	—
754	C₂²×C₁₃	—	4	4	no	—
755	C₂²×C₁₃	—	4	4	no	—
756	C₂²×C₁₃	—	8	8	no	—
757	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	8	yes	—
758	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
759	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
760	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
761	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
762	C₂×D₁₃	—	2	4	no	—
763	C₂×D₁₃	—	2	4	no	—
764	C₂×D₁₃	—	2	4	no	—
765	C₂×D₁₃	—	2	4	no	—
766	C₂×D₁₃	—	2	4	no	—
767	C₂×D₁₃	—	2	4	no	—
768	C₂×D₁₃	—	4	8	no	—
769	C₂×D₁₃	—	4	8	no	—
770	C₂×D₁₃	—	8	16	no	—
771	C₂×D₁₃	—	8	8	no	—
772	C₄×C₁₃	—	2	4	no	—
773	C₄×C₁₃	—	2	2	no	—
774	C₄×C₁₃	—	2	2	no	—
775	C₄×C₁₃	—	2	4	no	—
776	Dic₁₃	—	2	4	no	—
777	Dic₁₃	—	2	4	no	—
778	Dic₁₃	—	2	4	no	—
779	Dic₁₃	—	2	4	no	—
780	Dic₁₃	—	2	4	no	—
781	Dic₁₃	—	2	4	no	—
782	C₂⁵	—	4	8	no	—
783	C₂⁵	—	4	4	no	—
784	C₂⁵	—	13	2	no	—
785	C₂⁵	—	13	1	no	—
786	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
787	C₂⁵	C₂²×D₁₃	1	2	yes	—
788	C₂⁵	C₂²×D₁₃	1	2	yes	—
789	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
790	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
791	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
792	C₂⁵	C₂²×D₁₃	1	8	yes	complemented
793	C₂×#41	—	13	16	no	—
794	C₂×#41	—	13	8	no	—
795	C₂×#41	—	52	4	no	—
796	C₂×#41	—	52	8	no	—
797	C₂²×Q₈	—	13	2	no	—
798	C₂²×Q₈	—	13	1	no	—
799	C₂²×D₄	—	4	4	no	—
800	C₂²×D₄	—	4	8	no	—
801	C₂²×D₄	—	13	2	no	—
802	C₂²×D₄	—	13	2	no	—
803	C₂²×D₄	—	13	2	no	—
804	C₂²×D₄	—	13	2	no	—
805	C₂²×D₄	—	13	2	no	—
806	C₂²×D₄	—	13	2	no	—
807	C₂²×D₄	—	13	2	no	—
808	C₂²×D₄	—	13	2	no	—
809	C₂²×D₄	—	13	2	no	—
810	C₂²×D₄	—	13	2	no	—
811	C₂²×D₄	—	13	2	no	—
812	C₂²×D₄	—	13	2	no	—
813	C₂²×D₄	—	13	2	no	—
814	C₂²×D₄	—	13	16	no	—
815	C₂²×D₄	—	13	16	no	—
816	C₂²×D₄	—	13	16	no	—
817	C₂²×D₄	—	13	2	no	—
818	C₂²×D₄	—	13	2	no	—
819	C₂²×D₄	—	13	8	no	—
820	C₂²×D₄	—	13	16	no	—
821	C₂²×D₄	—	13	1	no	—
822	C₂²×D₄	—	13	2	no	—
823	C₂²×D₄	—	52	8	no	—
824	C₂²×D₄	—	52	8	no	—
825	C₂²×D₄	—	52	4	no	—
826	C₂²×D₄	—	52	8	no	—
827	C₂²×D₄	—	52	8	no	—
828	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
829	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
830	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
831	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
832	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
833	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
834	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
835	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
836	C₂²×D₄	C₂²×D₁₃	1	8	yes	complemented
837	C₂²×D₄	C₂²×D₁₃	1	16	yes	complemented
838	C₂³×C₄	—	13	2	no	—
839	C₂³×C₄	—	13	2	no	—
840	C₂³×C₄	—	13	2	no	—
841	C₂³×C₄	—	13	2	no	—
842	C₂³×C₄	—	13	1	no	—
843	C₂³×C₄	—	13	2	no	—
844	C₂³×C₄	—	13	2	no	—
845	C₂³×C₄	—	13	2	no	—
846	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
847	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
848	#127	—	13	8	no	—
849	#127	—	13	16	no	—
850	#127	—	13	8	no	—
851	#126	—	13	16	no	—
852	#126	—	13	16	no	—
853	#126	—	13	16	no	—
854	#126	—	13	16	no	—
855	#124	—	13	8	no	—
856	#124	—	13	8	no	—
857	#124	—	13	16	no	—
858	#124	—	13	16	no	—
859	#124	—	13	16	no	—
860	#124	—	13	16	no	—
861	#124	—	13	16	no	—
862	#123	—	13	8	no	—
863	#123	—	13	16	no	—
864	#123	—	13	8	no	—
865	#123	—	13	16	no	—
866	#123	—	13	16	no	—
867	#123	—	13	16	no	—
868	#123	—	13	16	no	—
869	#123	—	13	16	no	—
870	#123	—	13	16	no	—
871	#123	—	13	16	no	—
872	C₂²⋊Q₈	—	13	16	no	—
873	C₂²⋊Q₈	—	13	16	no	—
874	C₂²⋊Q₈	—	13	16	no	—
875	#121	—	13	16	no	—
876	#121	—	13	16	no	—
877	#121	—	13	16	no	—
878	#121	—	13	16	no	—
879	#121	—	13	16	no	—
880	#121	—	13	16	no	—
881	#121	—	13	16	no	—
882	#121	—	13	16	no	—
883	#121	—	13	16	no	—
884	#121	—	13	16	no	—
885	#121	—	13	16	no	—
886	#121	—	13	16	no	—
887	#121	—	13	16	no	—
888	#121	—	13	16	no	—
889	#121	—	13	16	no	—
890	#120	—	13	16	no	—
891	#120	—	13	16	no	—
892	#120	—	13	16	no	—
893	#120	—	13	16	no	—
894	#120	—	13	16	no	—
895	#120	—	13	16	no	—
896	#120	—	13	16	no	—
897	#120	—	13	16	no	—
898	#120	—	13	16	no	—
899	#120	—	13	8	no	—
900	#120	—	13	8	no	—
901	#120	—	13	16	no	—
902	#120	—	13	16	no	—
903	#120	—	13	16	no	—
904	#120	C₂²×D₁₃	1	8	yes	—
905	#120	C₂²×D₁₃	1	16	yes	complemented
906	#120	C₂²×D₁₃	1	16	yes	complemented
907	#120	C₂²×D₁₃	1	8	yes	complemented
908	#120	C₂²×D₁₃	1	8	yes	complemented
909	#120	C₂²×D₁₃	1	8	yes	complemented
910	C₄×D₄	—	13	16	no	—
911	C₄×D₄	—	13	16	no	—
912	C₄×D₄	—	13	16	no	—
913	C₄×D₄	—	13	16	no	—
914	C₄×D₄	—	13	16	no	—
915	C₄×D₄	—	13	16	no	—
916	#117	—	13	8	no	—
917	#117	—	13	16	no	—
918	C₂×C₄⋊C₄	—	13	2	no	—
919	C₂×C₄⋊C₄	—	13	2	no	—
920	C₂×C₄⋊C₄	—	13	2	no	—
921	C₂×C₄⋊C₄	—	13	2	no	—
922	C₂×C₄⋊C₄	—	13	2	no	—
923	C₂×C₄⋊C₄	—	13	2	no	—
924	C₂×C₄⋊C₄	—	13	2	no	—
925	C₂×C₄⋊C₄	—	13	2	no	—
926	C₂×C₄⋊C₄	—	13	2	no	—
927	C₂×C₂²⋊C₄	—	13	2	no	—
928	C₂×C₂²⋊C₄	—	13	2	no	—
929	C₂×C₂²⋊C₄	—	13	2	no	—
930	C₂×C₂²⋊C₄	—	13	2	no	—
931	C₂×C₂²⋊C₄	—	13	2	no	—
932	C₂×C₂²⋊C₄	—	13	2	no	—
933	C₂×C₂²⋊C₄	—	13	2	no	—
934	C₂×C₂²⋊C₄	—	13	2	no	—
935	C₂×C₂²⋊C₄	—	13	2	no	—
936	C₂×C₂²⋊C₄	—	13	2	no	—
937	C₂×C₂²⋊C₄	—	13	2	no	—
938	C₂×C₂²⋊C₄	—	13	2	no	—
939	C₂×C₂²⋊C₄	—	13	16	no	—
940	C₂×C₂²⋊C₄	—	13	16	no	—
941	C₂×C₂²⋊C₄	—	13	16	no	—
942	C₂×C₂²⋊C₄	—	13	1	no	—
943	C₂×C₂²⋊C₄	—	13	1	no	—
944	C₂×C₂²⋊C₄	—	13	8	no	—
945	C₂×C₂²⋊C₄	—	13	2	no	—
946	C₂×C₂²⋊C₄	—	13	2	no	—
947	C₂×C₂²⋊C₄	—	13	2	no	—
948	C₂×C₂²⋊C₄	—	13	2	no	—
949	C₂×C₂²⋊C₄	—	13	2	no	—
950	C₂×C₂²⋊C₄	—	13	2	no	—
951	C₂×C₂²⋊C₄	—	13	2	no	—
952	C₂×C₂²⋊C₄	—	13	2	no	—
953	C₂×C₂²⋊C₄	—	13	16	no	—
954	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
955	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
956	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
958	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
959	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
960	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	complemented
962	C₂×C₂²⋊C₄	C₂²×D₁₃	1	16	yes	complemented
963	C₂×C₄²	—	13	1	no	—
964	C₂×C₄²	—	13	2	no	—
965	C₂×C₄²	—	13	1	no	—
966	C₂×C₄²	—	13	2	no	—
967	C₂×C₁₃	—	2	8	no	—
968	C₂×C₁₃	—	2	4	no	—
969	C₂×C₁₃	—	4	2	no	—
970	C₂×C₁₃	—	4	2	no	—
971	C₂×C₁₃	—	4	4	no	—
972	C₂×C₁₃	—	4	2	no	—
973	C₂×C₁₃	—	4	2	no	—
974	C₂×C₁₃	#3532	1	4	yes	complemented
975	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
976	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	2	yes	—
977	D₁₃	—	4	4	no	—
978	D₁₃	—	4	4	no	—
979	C₂⁴	—	2	8	no	—
980	C₂⁴	—	2	4	no	—
981	C₂⁴	—	2	8	no	—
982	C₂⁴	—	2	8	no	—
983	C₂⁴	—	2	8	no	—
984	C₂⁴	—	2	4	no	—
985	C₂⁴	—	4	4	no	—
986	C₂⁴	—	4	4	no	—
987	C₂⁴	—	4	2	no	—
988	C₂⁴	—	4	4	no	—
989	C₂⁴	—	4	4	no	—
990	C₂⁴	—	4	2	no	—
991	C₂⁴	—	4	4	no	—
992	C₂⁴	—	4	32	no	—
993	C₂⁴	—	4	16	no	—
994	C₂⁴	—	4	4	no	—
995	C₂⁴	—	4	64	no	—
996	C₂⁴	—	13	2	no	—
997	C₂⁴	—	13	2	no	—
998	C₂⁴	—	13	8	no	—
999	C₂⁴	—	13	4	no	—
1000	C₂⁴	—	26	8	no	—
1001	C₂⁴	—	52	4	no	—
1002	C₂⁴	—	52	4	no	—
1003	C₂⁴	—	52	2	no	—
1004	C₂⁴	—	52	4	no	—
1005	C₂⁴	C₂³×D₁₃	1	2	yes	—
1006	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1007	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1008	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1009	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1010	C₂⁴	C₂³×D₁₃	1	4	yes	—
1011	C₂⁴	C₂³×D₁₃	1	8	yes	—
1012	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1013	C₂⁴	C₂³×D₁₃	1	2	yes	—
1014	C₂⁴	C₂³×D₁₃	1	8	yes	—
1015	C₂⁴	C₂³×D₁₃	1	4	yes	—
1016	C₂⁴	C₂³×D₁₃	1	4	yes	—
1017	C₂⁴	C₂³×D₁₃	1	4	yes	—
1018	#41	—	52	16	no	—
1019	#41	—	52	32	no	—
1020	C₂×Q₈	—	13	8	no	—
1021	C₂×Q₈	—	13	4	no	—
1022	C₂×Q₈	—	52	2	no	—
1023	C₂×Q₈	—	52	4	no	—
1024	C₂×D₄	—	2	8	no	—
1025	C₂×D₄	—	2	8	no	—
1026	C₂×D₄	—	4	2	no	—
1027	C₂×D₄	—	4	2	no	—
1028	C₂×D₄	—	4	2	no	—
1029	C₂×D₄	—	4	2	no	—
1030	C₂×D₄	—	4	4	no	—
1031	C₂×D₄	—	4	4	no	—
1032	C₂×D₄	—	4	16	no	—
1033	C₂×D₄	—	4	32	no	—
1034	C₂×D₄	—	13	8	no	—
1035	C₂×D₄	—	13	8	no	—
1036	C₂×D₄	—	13	8	no	—
1037	C₂×D₄	—	13	8	no	—
1038	C₂×D₄	—	13	8	no	—
1039	C₂×D₄	—	13	8	no	—
1040	C₂×D₄	—	13	8	no	—
1041	C₂×D₄	—	13	8	no	—
1042	C₂×D₄	—	13	8	no	—
1043	C₂×D₄	—	13	8	no	—
1044	C₂×D₄	—	13	8	no	—
1045	C₂×D₄	—	13	8	no	—
1046	C₂×D₄	—	13	8	no	—
1047	C₂×D₄	—	13	8	no	—
1048	C₂×D₄	—	13	8	no	—
1049	C₂×D₄	—	13	4	no	—
1050	C₂×D₄	—	13	8	no	—
1051	C₂×D₄	—	26	8	no	—
1052	C₂×D₄	—	26	8	no	—
1053	C₂×D₄	—	26	8	no	—
1054	C₂×D₄	—	26	8	no	—
1055	C₂×D₄	—	52	4	no	—
1056	C₂×D₄	—	52	2	no	—
1057	C₂×D₄	—	52	4	no	—
1058	C₂×D₄	—	52	4	no	—
1059	C₂×D₄	—	52	4	no	—
1060	C₂×D₄	—	52	4	no	—
1061	C₂×D₄	—	52	32	no	—
1062	C₂×D₄	—	52	4	no	—
1063	C₂×D₄	—	52	4	no	—
1064	C₂×D₄	—	52	4	no	—
1065	C₂×D₄	—	52	4	no	—
1066	C₂×D₄	—	52	4	no	—
1067	C₂×D₄	—	52	4	no	—
1068	C₂×D₄	—	52	4	no	—
1069	C₂×D₄	—	52	32	no	—
1070	C₂×D₄	—	52	16	no	—
1071	C₂×D₄	—	52	32	no	—
1072	C₂×D₄	—	52	32	no	—
1073	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1074	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1075	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1076	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1077	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1078	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1079	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1080	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1081	C₂²×C₄	—	2	4	no	—
1082	C₂²×C₄	—	4	4	no	—
1083	C₂²×C₄	—	13	8	no	—
1084	C₂²×C₄	—	13	2	no	—
1085	C₂²×C₄	—	13	2	no	—
1086	C₂²×C₄	—	13	2	no	—
1087	C₂²×C₄	—	13	2	no	—
1088	C₂²×C₄	—	13	2	no	—
1089	C₂²×C₄	—	13	2	no	—
1090	C₂²×C₄	—	13	8	no	—
1091	C₂²×C₄	—	13	8	no	—
1092	C₂²×C₄	—	13	8	no	—
1093	C₂²×C₄	—	13	4	no	—
1094	C₂²×C₄	—	13	8	no	—
1095	C₂²×C₄	—	13	8	no	—
1096	C₂²×C₄	—	13	8	no	—
1097	C₂²×C₄	—	26	8	no	—
1098	C₂²×C₄	—	52	4	no	—
1099	C₂²×C₄	—	52	4	no	—
1100	C₂²×C₄	—	52	4	no	—
1101	C₂²×C₄	—	52	2	no	—
1102	C₂²×C₄	—	52	4	no	—
1103	C₂²×C₄	—	52	4	no	—
1104	C₂²×C₄	—	52	4	no	—
1105	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1106	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1108	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1109	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1111	C₄⋊C₄	—	13	8	no	—
1112	C₄⋊C₄	—	13	8	no	—
1113	C₄⋊C₄	—	13	8	no	—
1114	C₄⋊C₄	—	13	8	no	—
1115	C₄⋊C₄	—	13	8	no	—
1116	C₄⋊C₄	—	13	8	no	—
1117	C₄⋊C₄	—	13	8	no	—
1118	C₄⋊C₄	—	13	8	no	—
1119	C₄⋊C₄	—	13	8	no	—
1120	C₂²⋊C₄	—	13	8	no	—
1121	C₂²⋊C₄	—	13	8	no	—
1122	C₂²⋊C₄	—	13	8	no	—
1123	C₂²⋊C₄	—	13	8	no	—
1124	C₂²⋊C₄	—	13	8	no	—
1125	C₂²⋊C₄	—	13	8	no	—
1126	C₂²⋊C₄	—	13	8	no	—
1127	C₂²⋊C₄	—	13	8	no	—
1128	C₂²⋊C₄	—	13	8	no	—
1129	C₂²⋊C₄	—	13	8	no	—
1130	C₂²⋊C₄	—	13	8	no	—
1131	C₂²⋊C₄	—	13	8	no	—
1132	C₂²⋊C₄	—	13	4	no	—
1133	C₂²⋊C₄	—	13	4	no	—
1134	C₂²⋊C₄	—	13	8	no	—
1135	C₂²⋊C₄	—	13	8	no	—
1136	C₂²⋊C₄	—	13	8	no	—
1137	C₂²⋊C₄	—	13	8	no	—
1138	C₂²⋊C₄	—	13	8	no	—
1139	C₂²⋊C₄	—	13	8	no	—
1140	C₂²⋊C₄	—	13	8	no	—
1141	C₂²⋊C₄	—	13	8	no	—
1142	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1143	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1144	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1145	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1146	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1147	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1148	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1149	C₄²	—	13	4	no	—
1150	C₄²	—	13	8	no	—
1151	C₄²	—	13	4	no	—
1152	C₄²	—	13	8	no	—
1153	C₁₃	C₂×#3532	1	1	yes	characteristic, complemented, Sylow
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	4	no	—
1156	C₂³	—	2	4	no	—
1157	C₂³	—	2	4	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	4	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	16	no	—
1162	C₂³	—	2	8	no	—
1163	C₂³	—	2	2	no	—
1164	C₂³	—	2	4	no	—
1165	C₂³	—	2	2	no	—
1166	C₂³	—	2	16	no	—
1167	C₂³	—	2	16	no	—
1168	C₂³	—	2	16	no	—
1169	C₂³	—	2	4	no	—
1170	C₂³	—	2	4	no	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	2	8	no	—
1174	C₂³	—	4	8	no	—
1175	C₂³	—	4	8	no	—
1176	C₂³	—	4	4	no	—
1177	C₂³	—	4	8	no	—
1178	C₂³	—	4	8	no	—
1179	C₂³	—	4	4	no	—
1180	C₂³	—	4	8	no	—
1181	C₂³	—	4	8	no	—
1182	C₂³	—	4	32	no	—
1183	C₂³	—	4	16	no	—
1184	C₂³	—	4	16	no	—
1185	C₂³	—	4	32	no	—
1186	C₂³	—	4	128	no	—
1187	C₂³	—	4	16	no	—
1188	C₂³	—	8	8	no	—
1189	C₂³	—	13	4	no	—
1190	C₂³	—	13	4	no	—
1191	C₂³	—	26	4	no	—
1192	C₂³	—	26	4	no	—
1193	C₂³	—	26	4	no	—
1194	C₂³	—	26	4	no	—
1195	C₂³	—	26	4	no	—
1196	C₂³	—	26	4	no	—
1197	C₂³	—	26	16	no	—
1198	C₂³	—	52	8	no	—
1199	C₂³	—	52	8	no	—
1200	C₂³	—	52	4	no	—
1201	C₂³	—	52	8	no	—
1202	C₂³	—	104	16	no	—
1203	C₂³	—	104	8	no	—
1204	C₂³	#88251	1	4	yes	—
1205	C₂³	#88251	1	8	yes	—
1206	C₂³	C₂⁴×D₁₃	1	4	yes	—
1207	C₂³	C₂⁴×D₁₃	1	2	yes	—
1208	C₂³	C₂⁴×D₁₃	1	2	yes	—
1209	C₂³	C₂⁴×D₁₃	1	2	yes	—
1210	C₂³	C₂⁴×D₁₃	1	2	yes	—
1211	C₂³	C₂⁴×D₁₃	1	2	yes	—
1212	C₂³	C₂⁴×D₁₃	1	4	yes	—
1213	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1214	Q₈	—	52	4	no	—
1215	Q₈	—	52	8	no	—
1216	D₄	—	2	16	no	—
1217	D₄	—	2	16	no	—
1218	D₄	—	4	4	no	—
1219	D₄	—	4	4	no	—
1220	D₄	—	4	4	no	—
1221	D₄	—	4	4	no	—
1222	D₄	—	4	8	no	—
1223	D₄	—	4	8	no	—
1224	D₄	—	26	16	no	—
1225	D₄	—	26	16	no	—
1226	D₄	—	26	16	no	—
1227	D₄	—	26	16	no	—
1228	D₄	—	52	8	no	—
1229	D₄	—	52	4	no	—
1230	D₄	—	52	8	no	—
1231	D₄	—	52	8	no	—
1232	D₄	—	52	8	no	—
1233	D₄	—	52	8	no	—
1234	D₄	—	52	8	no	—
1235	D₄	—	52	8	no	—
1236	D₄	—	52	8	no	—
1237	D₄	—	52	8	no	—
1238	D₄	—	52	8	no	—
1239	D₄	—	52	8	no	—
1240	D₄	—	52	8	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	8	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	4	8	no	—
1247	C₂×C₄	—	13	4	no	—
1248	C₂×C₄	—	13	4	no	—
1249	C₂×C₄	—	13	4	no	—
1250	C₂×C₄	—	13	4	no	—
1251	C₂×C₄	—	13	4	no	—
1252	C₂×C₄	—	13	4	no	—
1253	C₂×C₄	—	26	4	no	—
1254	C₂×C₄	—	26	4	no	—
1255	C₂×C₄	—	26	16	no	—
1256	C₂×C₄	—	26	4	no	—
1257	C₂×C₄	—	26	4	no	—
1258	C₂×C₄	—	26	4	no	—
1259	C₂×C₄	—	26	4	no	—
1260	C₂×C₄	—	52	8	no	—
1261	C₂×C₄	—	52	8	no	—
1262	C₂×C₄	—	52	8	no	—
1263	C₂×C₄	—	52	4	no	—
1264	C₂×C₄	—	52	8	no	—
1265	C₂×C₄	—	52	8	no	—
1266	C₂×C₄	—	52	8	no	—
1267	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1268	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1269	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1270	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1271	C₂²	—	2	8	no	—
1272	C₂²	—	2	16	no	—
1273	C₂²	—	2	4	no	—
1274	C₂²	—	2	4	no	—
1275	C₂²	—	2	4	no	—
1276	C₂²	—	2	4	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	2	4	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	4	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	4	no	—
1284	C₂²	—	2	4	no	—
1285	C₂²	—	2	4	no	—
1286	C₂²	—	2	4	no	—
1287	C₂²	—	4	32	no	—
1288	C₂²	—	4	16	no	—
1289	C₂²	—	4	16	no	—
1290	C₂²	—	4	32	no	—
1291	C₂²	—	4	16	no	—
1292	C₂²	—	4	8	no	—
1293	C₂²	—	4	4	no	—
1294	C₂²	—	4	4	no	—
1295	C₂²	—	4	4	no	—
1296	C₂²	—	4	4	no	—
1297	C₂²	—	8	8	no	—
1298	C₂²	—	26	4	no	—
1299	C₂²	—	26	4	no	—
1300	C₂²	—	26	4	no	—
1301	C₂²	—	26	4	no	—
1302	C₂²	—	26	4	no	—
1303	C₂²	—	26	4	no	—
1304	C₂²	—	52	8	no	—
1305	C₂²	—	52	8	no	—
1306	C₂²	—	104	16	no	—
1307	C₂²	—	104	8	no	—
1308	C₂²	C₂×#88251	1	4	yes	—
1309	C₂²	C₂×#88251	1	8	yes	—
1310	C₂²	C₂×#88251	1	2	yes	—
1311	C₂²	C₂×#88251	1	4	yes	—
1312	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1313	C₄	—	2	2	no	—
1314	C₄	—	2	2	no	—
1315	C₄	—	2	4	no	—
1316	C₄	—	2	4	no	—
1317	C₄	—	26	4	no	—
1318	C₄	—	26	4	no	—
1319	C₄	—	26	4	no	—
1320	C₄	—	26	4	no	—
1321	C₄	—	26	4	no	—
1322	C₄	—	26	4	no	—
1323	C₂	—	2	4	no	—
1324	C₂	—	2	8	no	—
1325	C₂	—	4	4	no	—
1326	C₂	—	4	2	no	—
1327	C₂	—	4	2	no	—
1328	C₂	—	4	2	no	—
1329	C₂	—	4	2	no	—
1330	C₂	—	52	4	no	—
1331	C₂	—	52	4	no	—
1332	C₂	#13128991	1	4	yes	direct product factor
1333	C₂	C₂²×#88251	1	1	yes	characteristic
1334	C₂	C₂²×#88251	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂²×C₁₃×#120	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂²×#120	D₁₃
hypocenter	C₁₃	C₂×#3532
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂²×#120

Complements

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

N	H ≅ G/N	type
1. #13128991	C₂	direct (N × H)
2. C₂×#11719299	C₂	semidirect
3. C₂×#11719300	C₂	semidirect
4. C₂×#11719300	C₂	semidirect
5. C₂×#11719292	C₂	semidirect
6. C₂×#11719200	C₂	semidirect
7. C₂×#11719511	C₂	semidirect
8. C₂×#11719195	C₂	semidirect
9. C₂×#11719296	C₂	semidirect
10. C₂×D₄×C₂²⋊D₁₃	C₂	semidirect
11. C₂×#11719295	C₂	semidirect
12. C₂×#11719199	C₂	semidirect
13. C₂×#11719298	C₂	semidirect
14. C₂×#11719298	C₂	semidirect
15. C₂×#11719510	C₂	semidirect
16. C₂×#11719297	C₂	semidirect
17. C₂×#11719294	C₂	semidirect
18. C₂×#11719509	C₂	semidirect
19. C₂²×#88207	C₂	semidirect
20. C₂²×C₁₃×#120	C₂	semidirect
21. C₂⁶×C₁₃	C₂²	semidirect
22. C₂³×D₄×C₁₃	C₂²	semidirect
23. C₂³×D₄×C₁₃	C₂²	semidirect
24. C₂³×C₂²⋊D₁₃	C₂²	semidirect
25. C₂³×C₂²⋊D₁₃	C₂²	semidirect
26. C₂³×C₂²⋊D₁₃	C₂²	semidirect
27. C₂³×C₂²⋊D₁₃	C₂²	semidirect
28. C₂²×#6129	C₂²	semidirect
29. C₂²×D₄×D₁₃	C₂²	semidirect
30. C₂²×#6127	C₂²	semidirect
32. C₂×C₁₃×#120	C₂²	semidirect
33. C₂×C₁₃×#120	C₂²	semidirect
34. C₂×C₁₃×#120	C₂²	semidirect
35. C₂×C₁₃×#120	C₂²	semidirect
36. C₂×C₁₃×#120	C₂²	semidirect
37. C₂×C₁₃×#120	C₂²	semidirect
38. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
39. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
41. C₂×#88207	C₂²	semidirect
42. C₂×#88207	C₂²	semidirect
43. C₂×#88207	C₂²	semidirect
44. C₂×#88207	C₂²	semidirect
45. C₂×#88207	C₂²	semidirect
46. C₂×#88207	C₂²	semidirect
47. C₂×#88207	C₂²	semidirect
48. C₂×#88207	C₂²	semidirect
49. C₂×#88207	C₂²	semidirect
50. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
51. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
52. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
53. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
54. #11719511	C₂²	semidirect
55. #11719510	C₂²	semidirect
56. #11719509	C₂²	semidirect
57. C₂×#88194	C₂²	semidirect
58. C₂×#88194	C₂²	semidirect
59. C₂×#88194	C₂²	semidirect
60. C₂×#88193	C₂²	semidirect
61. C₂×#88193	C₂²	semidirect
62. C₂×#88193	C₂²	semidirect
63. C₂×#88193	C₂²	semidirect
64. C₂×#88193	C₂²	semidirect
65. C₂×#88193	C₂²	semidirect
66. D₄×C₂²⋊D₁₃	C₂²	semidirect
67. C₂×#88192	C₂²	semidirect
68. C₂×#88192	C₂²	semidirect
69. C₂×#88192	C₂²	semidirect
70. C₂×#88192	C₂²	semidirect
71. C₂×#88191	C₂²	semidirect
72. C₂×#88191	C₂²	semidirect
73. C₂×#88191	C₂²	semidirect
74. C₂×#88191	C₂²	semidirect
75. C₂×#88190	C₂²	semidirect
76. C₂×#88190	C₂²	semidirect
77. C₂×#88190	C₂²	semidirect
78. C₂×#88189	C₂²	semidirect
79. C₂×#88189	C₂²	semidirect
80. C₂×#88189	C₂²	semidirect
81. C₂×#88189	C₂²	semidirect
82. C₂×D₄×Dic₁₃	C₂²	semidirect
83. C₂×D₄×Dic₁₃	C₂²	semidirect
84. C₂×#88184	C₂²	semidirect
85. C₂×#88183	C₂²	semidirect
86. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
87. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
88. C₂×#88180	C₂²	semidirect
89. C₂×#88178	C₂²	semidirect
90. #11719300	C₂²	semidirect
91. #11719300	C₂²	semidirect
92. #11719299	C₂²	semidirect
93. #11719298	C₂²	semidirect
94. #11719298	C₂²	semidirect
95. #11719297	C₂²	semidirect
96. #11719296	C₂²	semidirect
97. #11719295	C₂²	semidirect
98. #11719294	C₂²	semidirect
99. #11719292	C₂²	semidirect
100. #11719200	C₂²	semidirect
101. #11719199	C₂²	semidirect
102. C₂×#88140	C₂²	semidirect
103. C₂×#88139	C₂²	semidirect
104. C₂×#88139	C₂²	semidirect
105. C₂×#88139	C₂²	semidirect
106. C₂×#88139	C₂²	semidirect
107. #11719195	C₂²	semidirect
108. C₂×#88138	C₂²	semidirect
109. C₂×#88138	C₂²	semidirect
110. C₂×#88138	C₂²	semidirect
111. C₂×#88138	C₂²	semidirect
112. C₂×#88137	C₂²	semidirect
113. C₂×#88137	C₂²	semidirect
114. C₂×#88137	C₂²	semidirect
115. C₂×#88137	C₂²	semidirect
116. C₂×#88136	C₂²	semidirect
117. C₂×#88135	C₂²	semidirect
118. C₂×#88135	C₂²	semidirect
119. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
120. C₂×#88133	C₂²	semidirect
121. C₂×#88133	C₂²	semidirect
122. C₂×#88133	C₂²	semidirect
123. C₂×#88133	C₂²	semidirect
124. C₂×#88132	C₂²	semidirect
125. C₂×#88132	C₂²	semidirect
126. C₂×#88131	C₂²	semidirect
135. C₂⁵×C₁₃	C₂³	semidirect
137. C₂⁴×D₁₃	C₂³	semidirect
148. C₂²×D₄×C₁₃	C₂³	semidirect
149. C₂²×D₄×C₁₃	C₂³	semidirect
168. C₂²×C₂²⋊D₁₃	C₂³	semidirect
169. C₂²×C₂²⋊D₁₃	C₂³	semidirect
170. C₂²×C₂²⋊D₁₃	C₂³	semidirect
171. C₂²×C₂²⋊D₁₃	C₂³	semidirect
172. C₂²×C₂²⋊D₁₃	C₂³	semidirect
173. C₂²×C₂²⋊D₁₃	C₂³	semidirect
174. C₂²×C₂²⋊D₁₃	C₂³	semidirect
178. C₂³×Dic₁₃	C₂³	semidirect
179. C₂³×Dic₁₃	C₂³	semidirect
181. C₂×#6129	C₂³	semidirect
183. C₂×D₄×D₁₃	C₂³	semidirect
185. C₂×#6127	C₂³	semidirect
186. C₂²×D₅₂	C₂³	semidirect
187. C₂²×D₅₂	C₂³	semidirect
188. C₂²×C₄×D₁₃	C₂³	semidirect
189. C₂²×C₄×D₁₃	C₂³	semidirect
190. C₂²×C₄×D₁₃	C₂³	semidirect
191. C₂²×Dic₂₆	C₂³	semidirect
192. C₂²×Dic₂₆	C₂³	semidirect
194. C₁₃×#120	C₂³	semidirect
195. C₁₃×#120	C₂³	semidirect
196. C₁₃×#120	C₂³	semidirect
197. C₁₃×#120	C₂³	semidirect
198. C₁₃×#120	C₂³	semidirect
206. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
207. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
209. #88207	C₂³	semidirect
210. #88207	C₂³	semidirect
211. #88207	C₂³	semidirect
212. #88207	C₂³	semidirect
213. #88207	C₂³	semidirect
214. #88207	C₂³	semidirect
215. #88207	C₂³	semidirect
216. #88207	C₂³	semidirect
229. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
230. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
231. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
232. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
233. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
234. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
235. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
236. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
237. #88194	C₂³	semidirect
238. #88194	C₂³	semidirect
239. #88194	C₂³	semidirect
240. #88193	C₂³	semidirect
241. #88193	C₂³	semidirect
242. #88193	C₂³	semidirect
243. #88193	C₂³	semidirect
244. #88193	C₂³	semidirect
245. #88193	C₂³	semidirect
246. #88192	C₂³	semidirect
247. #88192	C₂³	semidirect
248. #88192	C₂³	semidirect
249. #88192	C₂³	semidirect
250. #88191	C₂³	semidirect
251. #88191	C₂³	semidirect
252. #88191	C₂³	semidirect
253. #88191	C₂³	semidirect
254. #88190	C₂³	semidirect
255. #88190	C₂³	semidirect
256. #88190	C₂³	semidirect
257. #88189	C₂³	semidirect
258. #88189	C₂³	semidirect
259. #88189	C₂³	semidirect
260. #88189	C₂³	semidirect
261. D₄×Dic₁₃	C₂³	semidirect
262. D₄×Dic₁₃	C₂³	semidirect
263. #88184	C₂³	semidirect
264. #88183	C₂³	semidirect
265. C₄×C₂²⋊D₁₃	C₂³	semidirect
266. C₄×C₂²⋊D₁₃	C₂³	semidirect
267. C₂×#6103	C₂³	semidirect
268. C₂×#6103	C₂³	semidirect
269. C₂×#6103	C₂³	semidirect
270. C₂×#6103	C₂³	semidirect
271. C₂×#6103	C₂³	semidirect
272. C₂×#6103	C₂³	semidirect
273. #88180	C₂³	semidirect
274. C₂×C₄⋊Dic₁₃	C₂³	semidirect
275. C₂×C₄⋊Dic₁₃	C₂³	semidirect
276. C₂×C₄⋊Dic₁₃	C₂³	semidirect
277. #88178	C₂³	semidirect
278. C₂×#6101	C₂³	semidirect
279. C₂×#6101	C₂³	semidirect
280. C₂×#6101	C₂³	semidirect
281. C₂×#6101	C₂³	semidirect
282. C₂×#6101	C₂³	semidirect
283. C₂×#6101	C₂³	semidirect
284. C₂×C₄×Dic₁₃	C₂³	semidirect
285. C₂×C₄×Dic₁₃	C₂³	semidirect
286. C₂×C₄×Dic₁₃	C₂³	semidirect
287. C₂×C₄×Dic₁₃	C₂³	semidirect
288. #88140	C₂³	semidirect
289. #88139	C₂³	semidirect
290. #88139	C₂³	semidirect
291. #88139	C₂³	semidirect
292. #88139	C₂³	semidirect
293. #88138	C₂³	semidirect
294. #88138	C₂³	semidirect
295. #88138	C₂³	semidirect
296. #88138	C₂³	semidirect
297. #88137	C₂³	semidirect
298. #88137	C₂³	semidirect
299. #88137	C₂³	semidirect
300. #88137	C₂³	semidirect
301. #88136	C₂³	semidirect
302. #88135	C₂³	semidirect
303. #88135	C₂³	semidirect
304. C₂²⋊C₄×D₁₃	C₂³	semidirect
305. #88133	C₂³	semidirect
306. #88133	C₂³	semidirect
307. #88133	C₂³	semidirect
308. #88133	C₂³	semidirect
309. #88132	C₂³	semidirect
310. #88132	C₂³	semidirect
311. #88131	C₂³	semidirect
351. C₂³×D₁₃	C₂⁴	semidirect
409. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
410. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
411. C₂×C₂²⋊D₁₃	C₂⁴	semidirect
426. C₂²×Dic₁₃	C₂⁴	semidirect
427. C₂²×Dic₁₃	C₂⁴	semidirect
433. C₂×D₅₂	C₂⁴	semidirect
434. C₂×D₅₂	C₂⁴	semidirect
438. C₂×C₄×D₁₃	C₂⁴	semidirect
439. C₂×C₄×D₁₃	C₂⁴	semidirect
440. C₂×C₄×D₁₃	C₂⁴	semidirect
443. C₂×Dic₂₆	C₂⁴	semidirect
444. C₂×Dic₂₆	C₂⁴	semidirect
464. C₂²⋊Dic₁₃	C₂⁴	semidirect
465. C₂²⋊Dic₁₃	C₂⁴	semidirect
466. C₂²⋊Dic₁₃	C₂⁴	semidirect
467. C₂²⋊Dic₁₃	C₂⁴	semidirect
468. #6103	C₂⁴	semidirect
469. #6103	C₂⁴	semidirect
470. #6103	C₂⁴	semidirect
471. #6103	C₂⁴	semidirect
472. #6103	C₂⁴	semidirect
473. #6103	C₂⁴	semidirect
474. C₄⋊Dic₁₃	C₂⁴	semidirect
475. C₄⋊Dic₁₃	C₂⁴	semidirect
476. C₄⋊Dic₁₃	C₂⁴	semidirect
477. #6101	C₂⁴	semidirect
478. #6101	C₂⁴	semidirect
479. #6101	C₂⁴	semidirect
480. #6101	C₂⁴	semidirect
481. #6101	C₂⁴	semidirect
482. #6101	C₂⁴	semidirect
483. C₄×Dic₁₃	C₂⁴	semidirect
484. C₄×Dic₁₃	C₂⁴	semidirect
485. C₄×Dic₁₃	C₂⁴	semidirect
486. C₄×Dic₁₃	C₂⁴	semidirect
506. C₂²×#120	D₁₃	semidirect
624. C₂⁶	C₂×D₁₃	semidirect
632. C₂³×D₄	C₂×D₁₃	semidirect
633. C₂³×D₄	C₂×D₁₃	semidirect
709. C₂×#120	C₂×D₁₃	semidirect
710. C₂×#120	C₂×D₁₃	semidirect
711. C₂×#120	C₂×D₁₃	semidirect
712. C₂×#120	C₂×D₁₃	semidirect
713. C₂×#120	C₂×D₁₃	semidirect
714. C₂×#120	C₂×D₁₃	semidirect
728. C₂²×C₂²⋊C₄	C₂×D₁₃	semidirect
729. C₂²×C₂²⋊C₄	C₂×D₁₃	semidirect
792. C₂⁵	C₂²×D₁₃	semidirect
836. C₂²×D₄	C₂²×D₁₃	semidirect
837. C₂²×D₄	C₂²×D₁₃	semidirect
905. #120	C₂²×D₁₃	semidirect
906. #120	C₂²×D₁₃	semidirect
907. #120	C₂²×D₁₃	semidirect
908. #120	C₂²×D₁₃	semidirect
909. #120	C₂²×D₁₃	semidirect
961. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
962. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
974. C₂×C₁₃	#3532	semidirect
1153. C₁₃	C₂×#3532	semidirect
1332. C₂	#13128991	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128991	2
C₂×#11719299	2
C₂×#11719300	2
C₂×#11719292	2
C₂×#11719200	2
C₂×#11719511	2
C₂×#11719195	2
C₂×#11719296	2
C₂×D₄×C₂²⋊D₁₃	2
C₂×#11719295	2
C₂×#11719199	2
C₂×#11719298	2
C₂×#11719510	2
C₂×#11719297	2
C₂×#11719294	2
C₂×#11719509	2
C₂²×#88207	2
C₂²×C₁₃×#120	2
C₂×#3532	13

Subgroups — C2×#13128991 #16770041

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128991 #16770041