Subgroups — #16770944

Order 3328.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128875	C₂	1	4	yes	maximal, complemented
2	#13128858	C₂	1	4	yes	maximal, complemented
3	#13128778	C₂	1	4	yes	maximal, complemented
4	#13128764	C₂	1	4	yes	maximal, complemented
5	#13128681	C₂	1	2	yes	maximal, complemented
6	#13128666	C₂	1	4	yes	maximal, complemented
7	#13128634	C₂	1	1	yes	maximal, characteristic, complemented
8	#13128595	C₂	1	1	yes	maximal, characteristic, complemented
9	#13128539	C₂	1	2	yes	maximal, complemented
10	#13128521	C₂	1	4	yes	maximal, complemented
11	#13128472	C₂	1	1	yes	maximal, characteristic, complemented
12	#13128467	C₂	1	1	yes	maximal, characteristic, complemented
13	#13128446	C₂	1	4	yes	maximal, complemented
14	#13128440	C₂	1	4	yes	maximal, complemented
15	#13128398	C₂	1	4	yes	maximal, complemented
16	D₄×#6127	C₂	1	4	yes	maximal, complemented
17	#13128252	C₂	1	2	yes	maximal, complemented
18	#13128245	C₂	1	4	yes	maximal, complemented
19	#13128129	C₂	1	2	yes	maximal, complemented
20	C₂×#11719252	C₂	1	4	yes	maximal, complemented
21	C₄×#88251	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
25	C₂×#88251	C₂²	1	1	yes	characteristic
26	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
27	C₂²×#6127	C₂²	1	4	yes	complemented
28	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
29	C₁₃×#520	C₂²	1	2	yes	complemented
30	C₁₃×#520	C₂²	1	4	yes	complemented
31	C₁₃×#518	C₂²	1	1	yes	characteristic
32	C₁₃×#518	C₂²	1	4	yes	complemented
33	C₁₃×#518	C₂²	1	4	yes	complemented
34	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
35	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
39	#11719538	C₂²	1	2	yes	complemented
40	#11719537	C₂²	1	2	yes	complemented
41	#11719535	C₂²	1	2	yes	complemented
42	#11719534	C₂²	1	4	yes	complemented
43	#11719534	C₂²	1	4	yes	complemented
44	#11719534	C₂²	1	4	yes	complemented
45	#11719533	C₂²	1	2	yes	complemented
46	#11719529	C₂²	1	4	yes	complemented
47	#11719511	C₂²	1	4	yes	complemented
48	#11719509	C₂²	1	4	yes	complemented
49	#11719509	C₂²	1	4	yes	complemented
50	C₂×#88193	C₂²	1	4	yes	complemented
51	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
52	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
53	D₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
54	C₂×#88191	C₂²	1	4	yes	complemented
55	#11719503	C₂²	1	1	yes	characteristic
56	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
57	#11719496	C₂²	1	8	yes	complemented
58	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
59	C₂×C₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
60	C₂×C₄×C₂²⋊D₁₃	C₂²	1	4	yes	complemented
61	#11719290	C₂²	1	4	yes	complemented
62	#11719287	C₂²	1	4	yes	complemented
63	#11719286	C₂²	1	4	yes	complemented
64	#11719285	C₂²	1	2	yes	complemented
65	#11719285	C₂²	1	2	yes	complemented
66	#11719285	C₂²	1	4	yes	complemented
67	#11719284	C₂²	1	4	yes	complemented
68	#11719283	C₂²	1	2	yes	complemented
69	#11719283	C₂²	1	2	yes	complemented
70	#11719273	C₂²	1	4	yes	complemented
71	#11719270	C₂²	1	8	yes	complemented
72	#11719269	C₂²	1	8	yes	complemented
73	#11719269	C₂²	1	8	yes	complemented
74	#11719267	C₂²	1	4	yes	complemented
75	#11719265	C₂²	1	8	yes	complemented
76	#11719265	C₂²	1	8	yes	complemented
77	#11719265	C₂²	1	8	yes	complemented
78	#11719264	C₂²	1	4	yes	complemented
79	#11719263	C₂²	1	4	yes	complemented
80	#11719262	C₂²	1	2	yes	complemented
81	#11719262	C₂²	1	2	yes	complemented
82	#11719261	C₂²	1	8	yes	complemented
83	#11719261	C₂²	1	8	yes	complemented
84	#11719259	C₂²	1	4	yes	complemented
85	#11719259	C₂²	1	4	yes	complemented
86	#11719258	C₂²	1	4	yes	complemented
87	#11719257	C₂²	1	8	yes	complemented
88	#11719256	C₂²	1	4	yes	complemented
89	#11719255	C₂²	1	8	yes	complemented
90	#11719255	C₂²	1	8	yes	complemented
91	D₄×D₅₂	C₂²	1	4	yes	complemented
92	D₄×D₅₂	C₂²	1	4	yes	complemented
93	#11719253	C₂²	1	2	yes	complemented
94	#11719253	C₂²	1	2	yes	complemented
95	#11719253	C₂²	1	4	yes	complemented
96	#11719252	C₂²	1	4	yes	complemented
97	#11719252	C₂²	1	8	yes	complemented
98	#11719252	C₂²	1	4	yes	complemented
99	#11719252	C₂²	1	8	yes	complemented
100	#11719252	C₂²	1	8	yes	complemented
101	#11719252	C₂²	1	8	yes	complemented
102	#11719252	C₂²	1	8	yes	complemented
103	#11719252	C₂²	1	8	yes	complemented
104	#11719252	C₂²	1	8	yes	complemented
105	#11719252	C₂²	1	8	yes	complemented
106	#11719251	C₂²	1	4	yes	complemented
107	#11719250	C₂²	1	4	yes	complemented
108	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
109	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
110	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
111	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
112	C₄×D₄×D₁₃	C₂²	1	4	yes	complemented
113	#11719248	C₂²	1	4	yes	complemented
114	#11719245	C₂²	1	8	yes	complemented
115	#11719245	C₂²	1	8	yes	complemented
116	#11719244	C₂²	1	4	yes	complemented
117	#11719244	C₂²	1	4	yes	complemented
118	#11719243	C₂²	1	4	yes	complemented
119	#11719243	C₂²	1	4	yes	complemented
120	#11719243	C₂²	1	8	yes	complemented
121	D₄×Dic₂₆	C₂²	1	4	yes	complemented
122	C₄×#6129	C₂²	1	4	yes	complemented
123	#11719240	C₂²	1	4	yes	complemented
124	#11719239	C₂²	1	4	yes	complemented
125	#11719237	C₂²	1	4	yes	complemented
126	#11719236	C₂²	1	8	yes	complemented
127	#11719235	C₂²	1	4	yes	complemented
128	#11719235	C₂²	1	4	yes	complemented
129	#11719234	C₂²	1	4	yes	complemented
130	#11719233	C₂²	1	4	yes	complemented
131	#11719233	C₂²	1	4	yes	complemented
132	#11719232	C₂²	1	8	yes	complemented
133	#11719232	C₂²	1	8	yes	complemented
134	#11719232	C₂²	1	8	yes	complemented
135	#11719230	C₂²	1	2	yes	complemented
136	#11719229	C₂²	1	2	yes	complemented
137	#11719224	C₂²	1	2	yes	complemented
138	#11719222	C₂²	1	2	yes	complemented
139	#11719220	C₂²	1	8	yes	complemented
140	#11719219	C₂²	1	4	yes	complemented
141	#11719216	C₂²	1	4	yes	complemented
142	C₂×#88150	C₂²	1	4	yes	complemented
143	#11719212	C₂²	1	4	yes	complemented
144	#11719212	C₂²	1	4	yes	complemented
145	C₂×#88148	C₂²	1	4	yes	complemented
146	#11719209	C₂²	1	2	yes	complemented
147	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
149	#11719200	C₂²	1	8	yes	complemented
150	#11719199	C₂²	1	8	yes	complemented
151	#11719198	C₂²	1	4	yes	complemented
152	#11719195	C₂²	1	8	yes	complemented
153	#11719195	C₂²	1	8	yes	complemented
154	#11719195	C₂²	1	8	yes	complemented
155	C₂×#88138	C₂²	1	4	yes	complemented
156	C₂×#88137	C₂²	1	4	yes	complemented
157	C₂×#88136	C₂²	1	4	yes	complemented
158	#11719191	C₂²	1	4	yes	complemented
159	C₂×#88135	C₂²	1	2	yes	complemented
160	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
161	#11719188	C₂²	1	4	yes	complemented
162	C₂×#88132	C₂²	1	4	yes	complemented
163	#11719184	C₂²	1	4	yes	complemented
164	#11719184	C₂²	1	8	yes	complemented
165	#11719182	C₂²	1	4	yes	complemented
166	C₄×#6127	C₂²	1	4	yes	complemented
167	C₄×#6127	C₂²	1	4	yes	complemented
168	C₄×#6127	C₂²	1	2	yes	complemented
169	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₄×D₅₂	C₂²	1	4	yes	complemented
171	C₂×#88126	C₂²	1	4	yes	complemented
172	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₁₃	C₂³	1	2	yes	—
174	C₁₃×H(5,𝔽₂)	—	2	8	no	—
175	C₂×C₁₃×#41	C₂³	1	4	yes	—
176	C₂×C₁₃×#41	C₂³	1	2	yes	—
177	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
178	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
179	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
180	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
181	C₂³×C₄×C₁₃	C₂³	1	4	yes	complemented
182	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
183	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
184	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
185	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	—
186	C₂²×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
187	C₂³×Dic₁₃	C₂³	1	2	yes	—
188	#88251	—	2	8	no	—
189	C₂×#6129	C₂³	1	4	yes	—
190	C₂×D₄×D₁₃	—	2	8	no	—
191	C₂×D₄×D₁₃	C₂³	1	4	yes	—
192	C₂×D₄×D₁₃	C₂³	1	4	yes	—
193	C₂×D₄×D₁₃	C₂³	1	4	yes	—
194	C₂×#6127	—	4	16	no	—
195	C₂×#6127	C₂³	1	2	yes	—
196	C₂×#6127	C₂³	1	4	yes	—
197	C₂×#6127	C₂³	1	4	yes	—
198	C₂×#6127	C₂³	1	8	yes	—
199	C₂×#6127	C₂³	1	8	yes	complemented
200	C₂×#6127	C₂³	1	8	yes	complemented
201	C₂²×D₅₂	C₂³	1	1	yes	characteristic
202	C₂²×D₅₂	C₂³	1	4	yes	—
203	C₂²×D₅₂	C₂³	1	4	yes	—
204	C₂²×C₄×D₁₃	—	4	8	no	—
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
210	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
211	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
212	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
213	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
214	C₂²×C₄×D₁₃	C₂³	1	4	yes	—
215	C₂²×C₄×D₁₃	C₂³	1	4	yes	complemented
216	C₂²×Dic₂₆	C₂³	1	4	yes	complemented
217	C₄×Q₈×C₁₃	C₂³	1	4	yes	complemented
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
220	C₄×D₄×C₁₃	C₂³	1	4	yes	—
221	C₄×D₄×C₁₃	C₂³	1	4	yes	—
222	C₄×D₄×C₁₃	C₂³	1	4	yes	—
223	C₄×D₄×C₁₃	C₂³	1	4	yes	—
224	C₄×D₄×C₁₃	C₂³	1	4	yes	—
225	C₄×D₄×C₁₃	C₂³	1	4	yes	—
226	C₄×D₄×C₁₃	C₂³	1	8	yes	—
227	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
228	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
229	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
230	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
231	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
232	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
233	C₄×D₄×C₁₃	C₂³	1	4	yes	complemented
234	C₁₃×#117	C₂³	1	2	yes	—
235	C₁₃×#117	C₂³	1	8	yes	complemented
236	C₁₃×#117	C₂³	1	4	yes	complemented
237	C₁₃×#117	C₂³	1	4	yes	complemented
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	complemented
241	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
242	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
243	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	complemented
244	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	complemented
245	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₁₃	C₂³	1	4	yes	complemented
247	C₂×C₄²×C₁₃	C₂³	1	4	yes	complemented
248	#88207	C₂³	1	8	yes	—
249	#88207	C₂³	1	8	yes	complemented
250	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	—
251	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
252	C₂×C₂²⋊Dic₁₃	C₂³	1	4	yes	complemented
253	#88201	C₂³	1	4	yes	—
254	#88201	C₂³	1	2	yes	complemented
255	#88200	C₂³	1	2	yes	—
256	#88200	C₂³	1	2	yes	—
257	#88200	C₂³	1	4	yes	complemented
258	#88198	C₂³	1	2	yes	complemented
259	#88194	C₂³	1	4	yes	—
260	#88194	C₂³	1	2	yes	complemented
261	#88193	C₂³	1	8	yes	—
262	#88193	C₂³	1	4	yes	—
263	#88193	C₂³	1	4	yes	—
264	#88193	C₂³	1	8	yes	—
265	#88193	C₂³	1	8	yes	—
266	#88193	C₂³	1	8	yes	complemented
267	#88193	C₂³	1	8	yes	complemented
268	#88192	C₂³	1	2	yes	—
269	#88192	C₂³	1	2	yes	—
270	#88192	C₂³	1	4	yes	complemented
271	#88191	C₂³	1	4	yes	—
272	#88191	C₂³	1	8	yes	—
273	#88191	C₂³	1	8	yes	—
274	#88191	C₂³	1	8	yes	—
275	#88191	C₂³	1	8	yes	complemented
276	#88190	C₂³	1	2	yes	complemented
277	#88189	C₂³	1	4	yes	—
278	#88189	C₂³	1	8	yes	complemented
279	D₄×Dic₁₃	C₂³	1	4	yes	—
280	D₄×Dic₁₃	C₂³	1	4	yes	—
281	D₄×Dic₁₃	C₂³	1	4	yes	—
282	D₄×Dic₁₃	C₂³	1	4	yes	—
283	#88184	C₂³	1	4	yes	—
284	#88184	C₂³	1	8	yes	—
285	#88184	C₂³	1	4	yes	—
286	#88184	C₂³	1	8	yes	—
287	#88184	C₂³	1	8	yes	complemented
288	#88184	C₂³	1	4	yes	complemented
289	#88184	C₂³	1	8	yes	complemented
290	#88183	C₂³	1	8	yes	—
291	#88183	C₂³	1	8	yes	complemented
292	#88183	C₂³	1	8	yes	complemented
293	#88183	C₂³	1	8	yes	complemented
294	#88183	C₂³	1	8	yes	complemented
295	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
296	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
297	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
298	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
299	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
300	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	—
301	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
302	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
303	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
304	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
305	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
306	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
307	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
308	C₄×C₂²⋊D₁₃	C₂³	1	4	yes	complemented
309	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
310	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
311	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
312	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
313	C₂×#6103	C₂³	1	4	yes	—
314	C₂×#6103	C₂³	1	4	yes	—
315	C₂×#6103	C₂³	1	2	yes	—
316	C₂×#6103	C₂³	1	4	yes	—
317	C₂×#6103	C₂³	1	2	yes	—
318	C₂×#6103	C₂³	1	4	yes	—
319	C₂×#6103	C₂³	1	4	yes	complemented
320	C₂×#6103	C₂³	1	4	yes	complemented
321	#88180	C₂³	1	2	yes	—
322	#88180	C₂³	1	4	yes	complemented
323	#88180	C₂³	1	4	yes	complemented
324	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊Dic₁₃	C₂³	1	4	yes	complemented
326	#88178	C₂³	1	8	yes	complemented
327	#88178	C₂³	1	4	yes	complemented
328	#88178	C₂³	1	8	yes	complemented
329	#88178	C₂³	1	8	yes	complemented
330	C₂×#6101	C₂³	1	2	yes	—
331	C₂×#6101	C₂³	1	4	yes	complemented
332	C₂×#6101	C₂³	1	4	yes	complemented
333	C₂×#6101	C₂³	1	4	yes	complemented
334	C₂×#6101	C₂³	1	4	yes	complemented
335	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
338	C₂×C₄×Dic₁₃	C₂³	1	4	yes	complemented
339	#88152	C₂³	1	8	yes	complemented
340	#88152	C₂³	1	4	yes	complemented
341	#88152	C₂³	1	4	yes	complemented
342	#88152	C₂³	1	8	yes	complemented
343	#88151	C₂³	1	2	yes	—
344	#88151	C₂³	1	2	yes	—
345	#88150	C₂³	1	4	yes	—
346	#88150	C₂³	1	8	yes	—
347	#88150	C₂³	1	4	yes	—
348	#88150	C₂³	1	8	yes	complemented
349	#88150	C₂³	1	8	yes	complemented
350	#88150	C₂³	1	8	yes	complemented
351	#88149	C₂³	1	2	yes	—
352	#88149	C₂³	1	4	yes	—
353	#88149	C₂³	1	2	yes	—
354	#88149	C₂³	1	4	yes	—
355	#88148	C₂³	1	4	yes	—
356	#88148	C₂³	1	8	yes	—
357	#88148	C₂³	1	4	yes	—
358	#88148	C₂³	1	8	yes	complemented
359	#88148	C₂³	1	8	yes	complemented
360	#88148	C₂³	1	8	yes	complemented
361	#88148	C₂³	1	8	yes	complemented
362	#88147	C₂³	1	4	yes	—
363	#88147	C₂³	1	4	yes	—
364	#88147	C₂³	1	4	yes	complemented
365	#88146	C₂³	1	4	yes	complemented
366	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
367	C₄⋊C₄×D₁₃	C₂³	1	4	yes	—
368	C₄⋊C₄×D₁₃	C₂³	1	4	yes	complemented
369	#88144	C₂³	1	2	yes	complemented
370	#88144	C₂³	1	2	yes	complemented
371	#88144	C₂³	1	4	yes	complemented
372	#88143	C₂³	1	8	yes	complemented
373	#88143	C₂³	1	4	yes	complemented
374	#88143	C₂³	1	4	yes	complemented
375	#88142	C₂³	1	2	yes	complemented
376	#88142	C₂³	1	4	yes	complemented
377	#88142	C₂³	1	2	yes	complemented
378	#88141	C₂³	1	4	yes	complemented
379	#88140	C₂³	1	4	yes	—
380	#88140	C₂³	1	8	yes	—
381	#88139	C₂³	1	4	yes	complemented
382	#88139	C₂³	1	8	yes	complemented
383	#88139	C₂³	1	8	yes	complemented
384	#88139	C₂³	1	4	yes	complemented
385	#88138	C₂³	1	4	yes	—
386	#88138	C₂³	1	8	yes	—
387	#88138	C₂³	1	4	yes	—
388	#88138	C₂³	1	8	yes	complemented
389	#88138	C₂³	1	8	yes	complemented
390	#88138	C₂³	1	8	yes	complemented
391	#88138	C₂³	1	8	yes	complemented
392	#88137	C₂³	1	4	yes	—
393	#88137	C₂³	1	8	yes	—
394	#88137	C₂³	1	4	yes	—
395	#88137	C₂³	1	8	yes	complemented
396	#88137	C₂³	1	8	yes	complemented
397	#88137	C₂³	1	8	yes	complemented
398	#88136	C₂³	1	4	yes	—
399	#88136	C₂³	1	8	yes	—
400	#88136	C₂³	1	8	yes	—
401	#88136	C₂³	1	8	yes	—
402	#88136	C₂³	1	8	yes	—
403	#88135	C₂³	1	8	yes	—
404	#88135	C₂³	1	8	yes	—
405	#88135	C₂³	1	8	yes	complemented
406	#88135	C₂³	1	8	yes	complemented
407	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
408	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
409	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
410	#88133	C₂³	1	4	yes	complemented
411	#88133	C₂³	1	8	yes	complemented
412	#88133	C₂³	1	4	yes	complemented
413	#88132	C₂³	1	4	yes	—
414	#88132	C₂³	1	8	yes	—
415	#88132	C₂³	1	4	yes	—
416	#88132	C₂³	1	8	yes	complemented
417	#88132	C₂³	1	8	yes	complemented
418	#88132	C₂³	1	8	yes	complemented
419	#88132	C₂³	1	8	yes	complemented
420	#88131	C₂³	1	8	yes	complemented
421	#88130	C₂³	1	8	yes	complemented
422	#88130	C₂³	1	8	yes	complemented
423	#88130	C₂³	1	8	yes	complemented
424	#88129	C₂³	1	4	yes	—
425	#88129	C₂³	1	8	yes	complemented
426	#88129	C₂³	1	8	yes	complemented
427	#88128	C₂³	1	4	yes	—
428	C₄×D₅₂	C₂³	1	4	yes	—
429	C₄×D₅₂	C₂³	1	4	yes	—
430	C₄×D₅₂	C₂³	1	8	yes	—
431	C₄×D₅₂	C₂³	1	4	yes	—
432	C₄×D₅₂	C₂³	1	4	yes	—
433	C₄×D₅₂	C₂³	1	4	yes	—
434	C₄×D₅₂	C₂³	1	4	yes	—
435	C₄×D₅₂	C₂³	1	8	yes	complemented
436	C₄×D₅₂	C₂³	1	8	yes	complemented
437	C₄×D₅₂	C₂³	1	2	yes	complemented
438	C₄×D₅₂	C₂³	1	2	yes	complemented
439	#88126	C₂³	1	4	yes	—
440	#88126	C₂³	1	8	yes	—
441	#88126	C₂³	1	4	yes	—
442	#88126	C₂³	1	8	yes	complemented
443	#88126	C₂³	1	8	yes	complemented
444	#88126	C₂³	1	4	yes	complemented
445	#88126	C₂³	1	4	yes	complemented
446	#88126	C₂³	1	4	yes	complemented
447	C₄²×D₁₃	C₂³	1	2	yes	—
448	C₄²×D₁₃	C₂³	1	2	yes	—
449	C₄²×D₁₃	C₂³	1	2	yes	—
450	C₄²×D₁₃	C₂³	1	2	yes	—
451	C₄²×D₁₃	C₂³	1	4	yes	complemented
452	#88124	C₂³	1	4	yes	complemented
453	#88124	C₂³	1	8	yes	complemented
454	#88123	C₂³	1	4	yes	complemented
455	C₄×Dic₂₆	C₂³	1	2	yes	complemented
456	C₄×Dic₂₆	C₂³	1	4	yes	complemented
457	C₄×Dic₂₆	C₂³	1	4	yes	complemented
458	C₄×Dic₂₆	C₂³	1	4	yes	complemented
459	C₄×Dic₂₆	C₂³	1	4	yes	complemented
460	C₄×Dic₂₆	C₂³	1	2	yes	complemented
461	#62773	—	13	1	no	maximal, Sylow
462	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
463	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
464	C₂³×D₁₃	—	2	8	no	—
465	C₂³×D₁₃	—	4	4	no	—
466	C₂³×D₁₃	—	4	4	no	—
467	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
468	C₂³×D₁₃	C₂⁴	1	4	yes	—
469	C₂³×D₁₃	C₂⁴	1	4	yes	—
470	C₂³×D₁₃	C₂⁴	1	4	yes	—
471	C₂³×D₁₃	C₂⁴	1	2	yes	—
472	C₁₃×#41	—	2	16	no	—
473	C₁₃×#41	—	2	8	no	—
474	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
475	C₂×D₄×C₁₃	—	2	16	no	—
476	C₂×D₄×C₁₃	—	2	16	no	—
477	C₂×D₄×C₁₃	#41	1	8	yes	complemented
478	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
479	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
480	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
481	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
482	C₂²×C₄×C₁₃	—	4	4	no	—
483	C₂²×C₄×C₁₃	—	4	8	no	—
484	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
486	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
488	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
489	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
491	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
492	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
493	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
494	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
495	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
496	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×C₂²⋊D₁₃	—	2	8	no	—
498	C₂×C₂²⋊D₁₃	—	2	16	no	—
499	C₂×C₂²⋊D₁₃	—	4	8	no	—
500	C₂×C₂²⋊D₁₃	—	4	8	no	—
501	C₂×C₂²⋊D₁₃	—	4	8	no	—
502	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
503	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
504	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
505	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
506	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
507	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
508	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
509	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
510	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
511	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
512	C₂²×Dic₁₃	—	4	4	no	—
513	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
514	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
516	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
518	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
519	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
520	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
521	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
522	#6129	—	2	16	no	—
523	D₄×D₁₃	—	2	16	no	—
524	D₄×D₁₃	—	2	16	no	—
525	D₄×D₁₃	—	2	16	no	—
526	#6127	—	2	8	no	—
527	#6127	—	2	16	no	—
528	#6127	—	4	16	no	—
529	#6127	—	4	16	no	—
530	#6127	—	4	16	no	—
531	#6127	—	4	8	no	—
532	C₂×D₅₂	—	2	4	no	—
533	C₂×D₅₂	—	4	8	no	—
534	C₂×D₅₂	—	4	8	no	—
535	C₂×D₅₂	C₂⁴	1	4	yes	—
536	C₂×D₅₂	C₂⁴	1	4	yes	—
537	C₂×D₅₂	C₂⁴	1	4	yes	—
538	C₂×D₅₂	C₂⁴	1	2	yes	—
539	C₂×D₅₂	C₂⁴	1	8	yes	—
540	C₂×D₅₂	C₂⁴	1	8	yes	—
541	C₂×C₄×D₁₃	—	2	4	no	—
542	C₂×C₄×D₁₃	—	2	4	no	—
543	C₂×C₄×D₁₃	—	2	16	no	—
544	C₂×C₄×D₁₃	—	4	8	no	—
545	C₂×C₄×D₁₃	—	4	4	no	—
546	C₂×C₄×D₁₃	—	4	8	no	—
547	C₂×C₄×D₁₃	—	4	4	no	—
548	C₂×C₄×D₁₃	—	4	8	no	—
549	C₂×C₄×D₁₃	—	4	8	no	—
550	C₂×C₄×D₁₃	—	4	4	no	—
551	C₂×C₄×D₁₃	—	4	2	no	—
552	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
553	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
555	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
556	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
559	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
560	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
561	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
562	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
563	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
564	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
565	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
566	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
567	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
568	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
569	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₂₆	—	4	8	no	—
571	C₂×Dic₂₆	C₂⁴	1	2	yes	—
572	C₂×Dic₂₆	C₂⁴	1	4	yes	—
573	C₂×Dic₂₆	C₂⁴	1	4	yes	—
574	C₂×Dic₂₆	C₂⁴	1	8	yes	—
575	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
576	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
577	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
578	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
579	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
580	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
581	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
582	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
583	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
584	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
585	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
586	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
587	C₄²×C₁₃	C₂⁴	1	4	yes	—
588	C₄²×C₁₃	C₂⁴	1	2	yes	—
589	C₄²×C₁₃	C₂⁴	1	2	yes	—
590	C₄²×C₁₃	C₂⁴	1	4	yes	—
591	C₄²×C₁₃	C₂⁴	1	4	yes	—
592	C₄²×C₁₃	C₂⁴	1	8	yes	—
593	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
594	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
595	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
596	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
597	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
598	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
599	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
600	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
601	#6103	C₂⁴	1	4	yes	—
602	#6103	C₂⁴	1	4	yes	—
603	#6103	C₂⁴	1	4	yes	—
604	#6103	C₂⁴	1	4	yes	—
605	#6103	C₂⁴	1	8	yes	—
606	#6103	C₂⁴	1	8	yes	—
607	#6103	C₂⁴	1	4	yes	—
608	#6103	C₂⁴	1	4	yes	—
609	#6103	C₂⁴	1	4	yes	—
610	#6103	C₂⁴	1	4	yes	—
611	#6103	C₂⁴	1	4	yes	—
612	#6103	C₂⁴	1	4	yes	—
613	#6103	C₂⁴	1	8	yes	—
614	#6103	C₂⁴	1	8	yes	—
615	#6103	C₂⁴	1	8	yes	—
616	#6103	C₂⁴	1	8	yes	—
617	#6103	C₂⁴	1	8	yes	—
618	#6103	C₂⁴	1	8	yes	—
619	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
620	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
621	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
622	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
623	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
624	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
625	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
626	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
627	#6101	C₂⁴	1	4	yes	—
628	#6101	C₂⁴	1	4	yes	—
629	#6101	C₂⁴	1	4	yes	—
630	#6101	C₂⁴	1	4	yes	—
631	#6101	C₂⁴	1	4	yes	—
632	#6101	C₂⁴	1	4	yes	—
633	#6101	C₂⁴	1	4	yes	—
634	#6101	C₂⁴	1	4	yes	—
635	#6101	C₂⁴	1	4	yes	—
636	#6101	C₂⁴	1	4	yes	—
637	#6101	C₂⁴	1	8	yes	—
638	#6101	C₂⁴	1	8	yes	—
639	#6101	C₂⁴	1	8	yes	—
640	#6101	C₂⁴	1	8	yes	—
641	#6101	C₂⁴	1	8	yes	—
642	C₄×Dic₁₃	C₂⁴	1	2	yes	—
643	C₄×Dic₁₃	C₂⁴	1	2	yes	—
644	C₄×Dic₁₃	C₂⁴	1	2	yes	—
645	C₄×Dic₁₃	C₂⁴	1	2	yes	—
646	C₄×Dic₁₃	C₂⁴	1	4	yes	—
647	C₄×Dic₁₃	C₂⁴	1	4	yes	—
648	C₄×Dic₁₃	C₂⁴	1	4	yes	—
649	C₄×Dic₁₃	C₂⁴	1	2	yes	—
650	C₄×Dic₁₃	C₂⁴	1	2	yes	—
651	C₄×Dic₁₃	C₂⁴	1	8	yes	—
652	#3520	—	13	4	no	—
653	#3519	—	13	4	no	—
654	#3513	—	13	4	no	—
655	#3513	—	13	4	no	—
656	#3506	—	13	2	no	—
657	#3505	—	13	4	no	—
658	#3501	—	13	1	no	—
659	#3496	—	13	1	no	—
660	#3492	—	13	2	no	—
661	#3490	—	13	4	no	—
662	#3484	—	13	1	no	—
663	#3484	—	13	1	no	—
664	#3481	—	13	4	no	—
665	#3481	—	13	4	no	—
666	#3475	—	13	4	no	—
667	D₄×#41	—	13	4	no	—
668	#3460	—	13	2	no	—
669	#3459	—	13	4	no	—
670	#3444	—	13	2	no	—
671	C₂×#525	—	13	4	no	—
672	C₄×H(5,𝔽₂)	—	13	1	no	—
673	C₄×H(5,𝔽₂)	D₁₃	1	1	yes	characteristic, complemented
674	C₂²×C₄×D₄	—	13	1	no	—
675	C₂³×C₁₃	—	2	8	no	—
676	C₂³×C₁₃	—	4	2	no	—
677	C₂³×C₁₃	—	4	2	no	—
678	C₂³×C₁₃	—	4	4	no	—
679	C₂³×C₁₃	—	4	4	no	—
680	C₂³×C₁₃	C₂×#41	1	8	yes	complemented
681	C₂³×C₁₃	C₂⁵	1	4	yes	—
682	C₂³×C₁₃	C₂⁵	1	4	yes	—
683	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
684	C₂²×D₁₃	—	2	2	no	—
685	C₂²×D₁₃	—	2	2	no	—
686	C₂²×D₁₃	—	2	2	no	—
687	C₂²×D₁₃	—	2	4	no	—
688	C₂²×D₁₃	—	2	8	no	—
689	C₂²×D₁₃	—	2	8	no	—
690	C₂²×D₁₃	—	2	8	no	—
691	C₂²×D₁₃	—	2	8	no	—
692	C₂²×D₁₃	—	2	8	no	—
693	C₂²×D₁₃	—	4	4	no	—
694	C₂²×D₁₃	—	4	2	no	—
695	C₂²×D₁₃	—	4	4	no	—
696	C₂²×D₁₃	—	4	2	no	—
697	C₂²×D₁₃	—	4	4	no	—
698	C₂²×D₁₃	—	4	4	no	—
699	C₂²×D₁₃	—	4	32	no	—
700	C₂²×D₁₃	C₂⁵	1	4	yes	—
701	C₂²×D₁₃	C₂⁵	1	4	yes	—
702	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
703	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
704	Q₈×C₁₃	—	2	4	no	—
705	D₄×C₁₃	—	2	16	no	—
706	D₄×C₁₃	—	2	8	no	—
707	D₄×C₁₃	—	2	4	no	—
708	D₄×C₁₃	C₂×#41	1	16	yes	complemented
709	C₂×C₄×C₁₃	—	2	8	no	—
710	C₂×C₄×C₁₃	—	2	8	no	—
711	C₂×C₄×C₁₃	—	2	2	no	—
712	C₂×C₄×C₁₃	—	2	8	no	—
713	C₂×C₄×C₁₃	—	2	8	no	—
714	C₂×C₄×C₁₃	—	4	4	no	—
715	C₂×C₄×C₁₃	—	4	2	no	—
716	C₂×C₄×C₁₃	—	4	4	no	—
717	C₂×C₄×C₁₃	—	4	1	no	—
718	C₂×C₄×C₁₃	—	4	4	no	—
719	C₂×C₄×C₁₃	—	4	8	no	—
720	C₂×C₄×C₁₃	—	4	4	no	—
721	C₂×C₄×C₁₃	C₂×#41	1	4	yes	complemented
722	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
723	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
724	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
725	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
726	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
727	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
728	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
729	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
730	C₂²⋊D₁₃	—	2	8	no	—
731	C₂²⋊D₁₃	—	2	16	no	—
732	C₂²⋊D₁₃	—	2	16	no	—
733	C₂²⋊D₁₃	—	2	8	no	—
734	C₂²⋊D₁₃	—	2	8	no	—
735	C₂²⋊D₁₃	—	2	8	no	—
736	C₂²⋊D₁₃	—	4	8	no	—
737	C₂²⋊D₁₃	—	4	8	no	—
738	C₂²⋊D₁₃	—	4	4	no	—
739	C₂²⋊D₁₃	—	4	8	no	—
740	C₂×Dic₁₃	—	2	2	no	—
741	C₂×Dic₁₃	—	2	8	no	—
742	C₂×Dic₁₃	—	2	8	no	—
743	C₂×Dic₁₃	—	2	2	no	—
744	C₂×Dic₁₃	—	4	4	no	—
745	C₂×Dic₁₃	—	4	2	no	—
746	C₂×Dic₁₃	—	4	4	no	—
747	C₂×Dic₁₃	—	4	1	no	—
748	C₂×Dic₁₃	—	4	4	no	—
749	C₂×Dic₁₃	C₂⁵	1	2	yes	—
750	C₂×Dic₁₃	C₂⁵	1	4	yes	—
751	C₂×Dic₁₃	C₂⁵	1	4	yes	—
752	C₂×Dic₁₃	C₂⁵	1	2	yes	—
753	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
754	C₂×Dic₁₃	C₂⁵	1	4	yes	—
755	C₂×Dic₁₃	C₂⁵	1	4	yes	—
756	C₂×Dic₁₃	C₂⁵	1	1	yes	characteristic
757	D₅₂	—	2	8	no	—
758	D₅₂	—	2	8	no	—
759	D₅₂	—	2	8	no	—
760	D₅₂	—	2	4	no	—
761	D₅₂	—	4	8	no	—
762	D₅₂	—	4	8	no	—
763	C₄×D₁₃	—	2	2	no	—
764	C₄×D₁₃	—	2	8	no	—
765	C₄×D₁₃	—	2	4	no	—
766	C₄×D₁₃	—	2	4	no	—
767	C₄×D₁₃	—	2	4	no	—
768	C₄×D₁₃	—	2	8	no	—
769	C₄×D₁₃	—	2	2	no	—
770	C₄×D₁₃	—	2	8	no	—
771	C₄×D₁₃	—	2	8	no	—
772	C₄×D₁₃	—	2	2	no	—
773	C₄×D₁₃	—	2	8	no	—
774	C₄×D₁₃	—	4	4	no	—
775	C₄×D₁₃	—	4	4	no	—
776	C₄×D₁₃	—	4	4	no	—
777	C₄×D₁₃	—	4	2	no	—
778	C₄×D₁₃	—	4	8	no	—
779	C₄×D₁₃	—	4	4	no	—
780	C₄×D₁₃	H(5,𝔽₂)	1	4	yes	complemented
781	Dic₂₆	—	2	4	no	—
782	Dic₂₆	—	2	8	no	—
783	Dic₂₆	—	4	8	no	—
784	Dic₂₆	—	4	4	no	—
785	C₂×H(5,𝔽₂)	—	13	1	no	—
786	C₂×H(5,𝔽₂)	C₂×D₁₃	1	1	yes	characteristic
787	C₂²×#41	—	13	4	no	—
788	C₂³×D₄	—	13	1	no	—
789	C₂⁴×C₄	—	13	2	no	—
790	#559	—	13	4	no	—
791	#559	—	13	4	no	—
792	#556	—	13	4	no	—
793	#555	—	13	4	no	—
794	#554	—	13	4	no	—
795	#554	—	13	4	no	—
796	#554	—	13	4	no	—
797	#554	—	13	4	no	—
798	#554	—	13	4	no	—
799	#553	—	13	8	no	—
800	#553	—	13	8	no	—
801	#553	—	13	4	no	—
802	#553	—	13	8	no	—
803	#553	—	13	4	no	—
804	#553	—	13	4	no	—
805	#553	—	13	4	no	—
806	#552	—	13	4	no	—
807	#552	—	13	4	no	—
808	#552	—	13	8	no	—
809	#551	—	13	8	no	—
810	#551	—	13	8	no	—
811	#551	—	13	8	no	—
812	#551	—	13	8	no	—
813	#551	—	13	8	no	—
814	#551	—	13	8	no	—
815	#550	—	13	4	no	—
816	D₄×Q₈	—	13	4	no	—
817	#548	—	13	8	no	—
818	#547	—	13	4	no	—
819	#547	—	13	4	no	—
820	#547	—	13	4	no	—
821	#547	—	13	4	no	—
822	#546	—	13	4	no	—
823	#546	—	13	4	no	—
824	#546	—	13	4	no	—
825	#546	—	13	4	no	—
826	#546	—	13	4	no	—
827	#546	—	13	4	no	—
828	#546	—	13	8	no	—
829	#546	—	13	8	no	—
830	#546	—	13	8	no	—
831	#546	—	13	8	no	—
832	#546	—	13	8	no	—
833	D₄²	—	13	4	no	—
834	D₄²	—	13	4	no	—
835	D₄²	—	13	4	no	—
836	D₄²	—	13	4	no	—
837	D₄²	—	13	4	no	—
838	#544	—	13	2	no	—
839	#543	—	13	4	no	—
840	#542	—	13	4	no	—
841	#542	—	13	4	no	—
842	#540	—	13	4	no	—
843	#540	—	13	4	no	—
844	#539	—	13	8	no	—
845	#539	—	13	8	no	—
846	#539	—	13	8	no	—
847	#538	—	13	8	no	—
848	#538	—	13	8	no	—
849	#538	—	13	8	no	—
850	#538	—	13	8	no	—
851	#537	—	13	2	no	—
852	#535	—	13	2	no	—
853	#535	—	13	2	no	—
854	#534	—	13	4	no	—
855	#534	—	13	4	no	—
856	#534	—	13	4	no	—
857	#533	—	13	2	no	—
858	#533	—	13	2	no	—
859	#533	—	13	2	no	—
860	#532	—	13	2	no	—
861	#532	—	13	2	no	—
862	#532	—	13	2	no	—
863	#532	—	13	4	no	—
864	#532	—	13	4	no	—
865	#529	—	13	2	no	—
866	#529	—	13	2	no	—
867	#529	—	13	4	no	—
868	#529	—	13	4	no	—
869	#529	—	13	4	no	—
870	#529	—	13	8	no	—
871	#529	—	13	2	no	—
872	#529	—	13	2	no	—
873	#529	—	13	4	no	—
874	#529	—	13	4	no	—
875	#529	—	13	8	no	—
876	#529	—	13	4	no	—
877	#525	—	13	2	no	—
878	#525	—	13	8	no	—
879	#525	—	13	4	no	—
880	#525	—	13	8	no	—
881	#525	—	13	8	no	—
882	#525	—	13	8	no	—
883	#525	—	13	4	no	—
884	#525	—	13	8	no	—
885	#525	—	13	8	no	—
886	#525	—	13	8	no	—
887	#525	—	13	8	no	—
888	#525	—	13	8	no	—
889	#525	—	13	2	no	—
890	C₂×#123	—	13	4	no	—
891	C₂×#123	—	13	4	no	—
892	C₂×C₂²⋊Q₈	—	13	4	no	—
893	C₂×C₂²⋊Q₈	—	13	4	no	—
894	C₂×#121	—	13	4	no	—
895	C₂×#121	—	13	4	no	—
896	C₂×#120	—	13	4	no	—
897	C₂×#120	—	13	4	no	—
898	#520	—	13	4	no	—
899	#520	—	13	2	no	—
900	#520	C₂×D₁₃	1	2	yes	complemented
901	#520	C₂×D₁₃	1	4	yes	complemented
902	#518	—	13	1	no	—
903	#518	—	13	4	no	—
904	#518	—	13	4	no	—
905	#518	C₂×D₁₃	1	1	yes	characteristic
906	#518	C₂×D₁₃	1	4	yes	complemented
907	#518	C₂×D₁₃	1	4	yes	complemented
908	C₄×#41	—	13	4	no	—
909	C₄×#41	—	13	2	no	—
910	C₄×#41	—	13	4	no	—
911	C₄×#41	—	13	4	no	—
912	C₄×#41	C₂×D₁₃	1	2	yes	complemented
913	C₄×#41	C₂×D₁₃	1	4	yes	complemented
914	C₂×C₄×D₄	—	13	1	no	—
915	C₂×C₄×D₄	—	13	2	no	—
916	C₂×C₄×D₄	—	13	4	no	—
917	C₂×C₄×D₄	—	13	4	no	—
918	C₂×C₄×D₄	—	13	4	no	—
919	C₂×C₄×D₄	—	13	4	no	—
920	C₂×C₄×D₄	—	13	4	no	—
921	C₂×C₄×D₄	—	13	4	no	—
922	C₂×C₄×D₄	—	13	4	no	—
923	C₂×C₄×D₄	—	13	1	no	—
924	C₂×C₄×D₄	—	13	2	no	—
925	C₂×C₄×D₄	—	13	1	no	—
926	C₂×C₄×D₄	—	13	4	no	—
927	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
928	C₂×C₄×D₄	C₂×D₁₃	1	4	yes	complemented
929	C₂×C₄×D₄	C₂×D₁₃	1	4	yes	complemented
930	C₂×#117	—	13	4	no	—
931	C₂²×C₄⋊C₄	—	13	1	no	—
932	C₂²×C₂²⋊C₄	—	13	2	no	—
933	C₂²×C₄²	—	13	1	no	—
934	C₂²×C₁₃	—	2	1	no	—
935	C₂²×C₁₃	—	2	4	no	—
936	C₂²×C₁₃	—	2	1	no	—
937	C₂²×C₁₃	—	2	4	no	—
938	C₂²×C₁₃	—	2	4	no	—
939	C₂²×C₁₃	—	2	4	no	—
940	C₂²×C₁₃	—	2	4	no	—
941	C₂²×C₁₃	—	4	8	no	—
942	C₂²×C₁₃	—	8	8	no	—
943	C₂²×C₁₃	C₂²×#41	1	8	yes	—
944	C₂²×C₁₃	C₂²×#41	1	2	yes	—
945	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
946	C₂×D₁₃	—	2	8	no	—
947	C₂×D₁₃	—	2	1	no	—
948	C₂×D₁₃	—	2	1	no	—
949	C₂×D₁₃	—	2	1	no	—
950	C₂×D₁₃	—	2	1	no	—
951	C₂×D₁₃	—	2	4	no	—
952	C₂×D₁₃	—	2	4	no	—
953	C₂×D₁₃	—	2	4	no	—
954	C₂×D₁₃	—	2	4	no	—
955	C₂×D₁₃	—	2	4	no	—
956	C₂×D₁₃	—	2	4	no	—
957	C₂×D₁₃	—	4	16	no	—
958	C₂×D₁₃	—	4	16	no	—
959	C₂×D₁₃	—	4	8	no	—
960	C₂×D₁₃	—	8	8	no	—
961	C₂×D₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
962	C₂×D₁₃	#585	1	2	yes	—
963	C₄×C₁₃	—	2	4	no	—
964	C₄×C₁₃	—	2	4	no	—
965	C₄×C₁₃	—	2	1	no	—
966	C₄×C₁₃	—	2	4	no	—
967	C₄×C₁₃	—	2	4	no	—
968	C₄×C₁₃	—	2	2	no	—
969	C₄×C₁₃	C₂²×#41	1	4	yes	—
970	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
971	Dic₁₃	—	2	4	no	—
972	Dic₁₃	—	2	2	no	—
973	Dic₁₃	—	2	4	no	—
974	Dic₁₃	—	2	4	no	—
975	Dic₁₃	—	2	1	no	—
976	Dic₁₃	—	2	2	no	—
977	Dic₁₃	—	2	4	no	—
978	Dic₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
979	C₂⁵	—	13	2	no	—
980	H(5,𝔽₂)	—	2	8	no	—
981	H(5,𝔽₂)	—	26	8	no	—
982	C₂×#41	—	13	4	no	—
983	C₂×#41	—	13	2	no	—
984	C₂×#41	—	13	4	no	—
985	C₂×#41	—	13	4	no	—
986	C₂×#41	—	13	8	no	—
987	C₂×#41	—	13	8	no	—
988	C₂×#41	—	13	8	no	—
989	C₂×#41	—	52	16	no	—
990	C₂×#41	C₂²×D₁₃	1	2	yes	—
991	C₂×#41	C₂²×D₁₃	1	4	yes	—
992	C₂²×Q₈	—	13	4	no	—
993	C₂²×D₄	—	13	2	no	—
994	C₂²×D₄	—	13	4	no	—
995	C₂²×D₄	—	13	4	no	—
996	C₂²×D₄	—	13	4	no	—
997	C₂²×D₄	—	13	4	no	—
998	C₂²×D₄	—	13	4	no	—
999	C₂²×D₄	—	13	4	no	—
1000	C₂²×D₄	—	13	4	no	—
1001	C₂²×D₄	—	13	1	no	—
1002	C₂²×D₄	—	13	4	no	—
1003	C₂²×D₄	—	13	4	no	—
1004	C₂²×D₄	—	26	8	no	—
1005	C₂²×D₄	C₂²×D₁₃	1	4	yes	—
1006	C₂²×D₄	C₂²×D₁₃	1	4	yes	—
1007	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂³×C₄	—	13	2	no	—
1009	C₂³×C₄	—	13	1	no	—
1010	C₂³×C₄	—	13	4	no	—
1011	C₂³×C₄	—	13	1	no	—
1012	C₂³×C₄	—	13	1	no	—
1013	C₂³×C₄	—	13	2	no	—
1014	C₂³×C₄	—	13	4	no	—
1015	C₂³×C₄	—	13	4	no	—
1016	C₂³×C₄	—	13	4	no	—
1017	C₂³×C₄	—	13	4	no	—
1018	C₂³×C₄	—	13	2	no	—
1019	C₂³×C₄	—	13	2	no	—
1020	C₂³×C₄	—	52	8	no	—
1021	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
1022	C₂³×C₄	C₂²×D₁₃	1	4	yes	complemented
1023	C₄⋊Q₈	—	13	2	no	—
1024	C₄⋊Q₈	—	13	2	no	—
1025	C₄⋊Q₈	—	13	2	no	—
1026	C₄⋊Q₈	—	13	4	no	—
1027	C₄⋊Q₈	—	13	4	no	—
1028	#127	—	13	2	no	—
1029	#127	—	13	4	no	—
1030	#127	—	13	4	no	—
1031	#126	—	13	4	no	—
1032	#126	—	13	4	no	—
1033	#126	—	13	8	no	—
1034	#126	—	13	8	no	—
1035	#126	—	13	4	no	—
1036	#126	—	13	4	no	—
1037	#126	—	13	8	no	—
1038	#126	—	13	8	no	—
1039	#126	—	13	8	no	—
1040	#126	—	13	8	no	—
1041	#125	—	13	4	no	—
1042	#125	—	13	4	no	—
1043	#125	—	13	2	no	—
1044	#125	—	13	2	no	—
1045	#125	—	13	8	no	—
1046	#125	—	13	4	no	—
1047	#125	—	13	8	no	—
1048	#125	—	13	4	no	—
1049	#124	—	13	2	no	—
1050	#124	—	13	4	no	—
1051	#124	—	13	2	no	—
1052	#124	—	13	4	no	—
1053	#124	—	13	4	no	—
1054	#124	—	13	8	no	—
1055	#124	—	13	8	no	—
1056	#124	—	13	4	no	—
1057	#124	—	13	8	no	—
1058	#124	—	13	8	no	—
1059	#123	—	13	4	no	—
1060	#123	—	13	8	no	—
1061	#123	—	13	8	no	—
1062	#123	—	13	8	no	—
1063	#123	—	13	8	no	—
1064	#123	—	13	8	no	—
1065	#123	—	13	8	no	—
1066	#123	—	13	4	no	—
1067	#123	—	13	8	no	—
1068	#123	—	13	8	no	—
1069	#123	—	13	8	no	—
1070	#123	—	13	4	no	—
1071	#123	—	13	8	no	—
1072	#123	—	13	8	no	—
1073	#123	—	13	4	no	—
1074	#123	—	13	8	no	—
1075	#123	—	13	8	no	—
1076	#123	—	13	8	no	—
1077	#123	—	13	4	no	—
1078	#123	—	13	4	no	—
1079	#123	—	13	8	no	—
1080	#123	—	13	8	no	—
1081	C₂²⋊Q₈	—	13	2	no	—
1082	C₂²⋊Q₈	—	13	2	no	—
1083	C₂²⋊Q₈	—	13	4	no	—
1084	C₂²⋊Q₈	—	13	8	no	—
1085	C₂²⋊Q₈	—	13	8	no	—
1086	C₂²⋊Q₈	—	13	4	no	—
1087	C₂²⋊Q₈	—	13	8	no	—
1088	C₂²⋊Q₈	—	13	4	no	—
1089	C₂²⋊Q₈	—	13	8	no	—
1090	C₂²⋊Q₈	—	13	8	no	—
1091	C₂²⋊Q₈	—	13	8	no	—
1092	C₂²⋊Q₈	—	13	2	no	—
1093	C₂²⋊Q₈	—	13	2	no	—
1094	C₂²⋊Q₈	—	13	4	no	—
1095	C₂²⋊Q₈	—	13	8	no	—
1096	C₂²⋊Q₈	—	13	4	no	—
1097	C₂²⋊Q₈	—	13	8	no	—
1098	C₂²⋊Q₈	—	13	8	no	—
1099	C₂²⋊Q₈	—	13	8	no	—
1100	C₂²⋊Q₈	—	13	4	no	—
1101	C₂²⋊Q₈	—	13	8	no	—
1102	C₂²⋊Q₈	—	13	8	no	—
1103	#121	—	13	4	no	—
1104	#121	—	13	8	no	—
1105	#121	—	13	8	no	—
1106	#121	—	13	8	no	—
1107	#121	—	13	4	no	—
1108	#121	—	13	2	no	—
1109	#121	—	13	2	no	—
1110	#121	—	13	8	no	—
1111	#121	—	13	8	no	—
1112	#121	—	13	4	no	—
1113	#121	—	13	8	no	—
1114	#121	—	13	8	no	—
1115	#121	—	13	8	no	—
1116	#121	—	13	4	no	—
1117	#121	—	13	4	no	—
1118	#121	—	13	4	no	—
1119	#121	—	13	8	no	—
1120	#121	—	13	2	no	—
1121	#121	—	13	2	no	—
1122	#121	—	13	4	no	—
1123	#121	—	13	4	no	—
1124	#121	—	13	4	no	—
1125	#121	—	13	8	no	—
1126	#121	—	13	8	no	—
1127	#121	—	13	8	no	—
1128	#121	—	13	4	no	—
1129	#121	—	13	8	no	—
1130	#121	—	13	8	no	—
1131	#120	—	13	8	no	—
1132	#120	—	13	8	no	—
1133	#120	—	13	4	no	—
1134	#120	—	13	8	no	—
1135	#120	—	13	8	no	—
1136	#120	—	13	8	no	—
1137	#120	—	13	8	no	—
1138	#120	—	13	4	no	—
1139	#120	—	13	8	no	—
1140	#120	—	13	8	no	—
1141	#120	—	13	8	no	—
1142	#120	—	13	8	no	—
1143	C₄×Q₈	—	13	4	no	—
1144	C₄×Q₈	—	13	2	no	—
1145	C₄×Q₈	—	13	2	no	—
1146	C₄×Q₈	—	13	4	no	—
1147	C₄×Q₈	—	13	4	no	—
1148	C₄×Q₈	—	13	4	no	—
1149	C₄×Q₈	—	13	4	no	—
1150	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1151	C₄×Q₈	C₂²×D₁₃	1	2	yes	complemented
1152	C₄×Q₈	C₂²×D₁₃	1	4	yes	complemented
1153	C₄×D₄	—	13	4	no	—
1154	C₄×D₄	—	13	4	no	—
1155	C₄×D₄	—	13	4	no	—
1156	C₄×D₄	—	13	4	no	—
1157	C₄×D₄	—	13	8	no	—
1158	C₄×D₄	—	13	8	no	—
1159	C₄×D₄	—	13	4	no	—
1160	C₄×D₄	—	13	4	no	—
1161	C₄×D₄	—	13	8	no	—
1162	C₄×D₄	—	13	8	no	—
1163	C₄×D₄	—	13	8	no	—
1164	C₄×D₄	—	13	8	no	—
1165	C₄×D₄	—	13	8	no	—
1166	C₄×D₄	—	13	8	no	—
1167	C₄×D₄	—	13	4	no	—
1168	C₄×D₄	—	13	4	no	—
1169	C₄×D₄	—	13	4	no	—
1170	C₄×D₄	—	13	4	no	—
1171	C₄×D₄	—	13	4	no	—
1172	C₄×D₄	—	13	4	no	—
1173	C₄×D₄	—	13	4	no	—
1174	C₄×D₄	—	13	4	no	—
1175	C₄×D₄	—	13	4	no	—
1176	C₄×D₄	—	13	4	no	—
1177	C₄×D₄	—	13	4	no	—
1178	C₄×D₄	—	13	8	no	—
1179	C₄×D₄	—	13	8	no	—
1180	C₄×D₄	—	13	8	no	—
1181	C₄×D₄	—	13	8	no	—
1182	C₄×D₄	—	13	4	no	—
1183	C₄×D₄	—	13	4	no	—
1184	C₄×D₄	—	13	4	no	—
1185	C₄×D₄	—	13	2	no	—
1186	C₄×D₄	—	13	8	no	—
1187	C₄×D₄	—	13	8	no	—
1188	C₄×D₄	—	13	8	no	—
1189	C₄×D₄	—	13	2	no	—
1190	C₄×D₄	—	13	4	no	—
1191	C₄×D₄	—	13	4	no	—
1192	C₄×D₄	—	13	4	no	—
1193	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1194	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1195	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1196	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1197	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1198	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1199	C₄×D₄	C₂²×D₁₃	1	4	yes	—
1200	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1201	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1202	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1203	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1204	C₄×D₄	C₂²×D₁₃	1	4	yes	complemented
1205	C₄×D₄	C₂²×D₁₃	1	2	yes	complemented
1206	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1207	#117	—	13	2	no	—
1208	#117	—	13	4	no	—
1209	#117	—	13	4	no	—
1210	#117	—	13	4	no	—
1211	#117	—	13	8	no	—
1212	#117	—	13	4	no	—
1213	#117	—	13	8	no	—
1214	#117	—	13	8	no	—
1215	#117	—	13	8	no	—
1216	#117	—	13	4	no	—
1217	#117	—	13	4	no	—
1218	#117	—	13	4	no	—
1219	#117	—	13	4	no	—
1220	#117	C₂²×D₁₃	1	2	yes	—
1221	#117	C₂²×D₁₃	1	4	yes	complemented
1222	#117	C₂²×D₁₃	1	8	yes	complemented
1223	#117	C₂²×D₁₃	1	4	yes	complemented
1224	C₂×C₄⋊C₄	—	13	1	no	—
1225	C₂×C₄⋊C₄	—	13	2	no	—
1226	C₂×C₄⋊C₄	—	13	4	no	—
1227	C₂×C₄⋊C₄	—	13	4	no	—
1228	C₂×C₄⋊C₄	—	13	4	no	—
1229	C₂×C₄⋊C₄	—	13	4	no	—
1230	C₂×C₄⋊C₄	—	13	4	no	—
1231	C₂×C₄⋊C₄	—	13	4	no	—
1232	C₂×C₄⋊C₄	—	13	4	no	—
1233	C₂×C₄⋊C₄	—	13	4	no	—
1234	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1235	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1236	C₂×C₄⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1237	C₂×C₂²⋊C₄	—	13	2	no	—
1238	C₂×C₂²⋊C₄	—	13	4	no	—
1239	C₂×C₂²⋊C₄	—	13	4	no	—
1240	C₂×C₂²⋊C₄	—	13	2	no	—
1241	C₂×C₂²⋊C₄	—	13	2	no	—
1242	C₂×C₂²⋊C₄	—	13	4	no	—
1243	C₂×C₂²⋊C₄	—	13	4	no	—
1244	C₂×C₂²⋊C₄	—	13	4	no	—
1245	C₂×C₂²⋊C₄	—	13	4	no	—
1246	C₂×C₂²⋊C₄	—	13	4	no	—
1247	C₂×C₂²⋊C₄	—	13	4	no	—
1248	C₂×C₂²⋊C₄	—	13	8	no	—
1249	C₂×C₂²⋊C₄	—	13	8	no	—
1250	C₂×C₂²⋊C₄	—	13	8	no	—
1251	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1252	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	—
1253	C₂×C₂²⋊C₄	C₂²×D₁₃	1	4	yes	complemented
1254	C₂×C₂²⋊C₄	C₂²×D₁₃	1	8	yes	complemented
1255	C₂×C₄²	—	13	4	no	—
1256	C₂×C₄²	—	13	1	no	—
1257	C₂×C₄²	—	13	1	no	—
1258	C₂×C₄²	—	13	1	no	—
1259	C₂×C₄²	—	13	2	no	—
1260	C₂×C₄²	—	13	2	no	—
1261	C₂×C₄²	—	13	2	no	—
1262	C₂×C₄²	—	13	2	no	—
1263	C₂×C₄²	—	13	4	no	—
1264	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1265	C₂×C₄²	C₂²×D₁₃	1	4	yes	complemented
1266	C₂×C₄²	C₂²×D₁₃	1	4	yes	complemented
1267	C₂×C₁₃	—	2	2	no	—
1268	C₂×C₁₃	—	2	8	no	—
1269	C₂×C₁₃	—	4	4	no	—
1270	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1271	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1272	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1273	D₁₃	—	2	2	no	—
1274	D₁₃	—	2	2	no	—
1275	D₁₃	—	4	4	no	—
1276	D₁₃	—	4	4	no	—
1277	C₂⁴	—	13	1	no	—
1278	C₂⁴	—	13	4	no	—
1279	C₂⁴	—	13	4	no	—
1280	C₂⁴	—	13	4	no	—
1281	C₂⁴	—	13	2	no	—
1282	C₂⁴	—	26	8	no	—
1283	C₂⁴	—	52	4	no	—
1284	C₂⁴	—	52	4	no	—
1285	C₂⁴	C₂³×D₁₃	1	4	yes	—
1286	C₂⁴	C₂³×D₁₃	1	2	yes	—
1287	#41	—	2	16	no	—
1288	#41	—	2	8	no	—
1289	#41	—	26	16	no	—
1290	#41	—	26	16	no	—
1291	#41	—	26	8	no	—
1292	#41	—	52	16	no	—
1293	#41	—	52	16	no	—
1294	#41	—	52	8	no	—
1295	#41	—	52	16	no	—
1296	C₂×Q₈	—	13	2	no	—
1297	C₂×Q₈	—	13	4	no	—
1298	C₂×Q₈	—	13	4	no	—
1299	C₂×Q₈	—	13	8	no	—
1300	C₂×Q₈	—	52	8	no	—
1301	C₂×Q₈	C₂³×D₁₃	1	2	yes	—
1302	C₂×D₄	—	2	16	no	—
1303	C₂×D₄	—	2	16	no	—
1304	C₂×D₄	—	13	4	no	—
1305	C₂×D₄	—	13	4	no	—
1306	C₂×D₄	—	13	8	no	—
1307	C₂×D₄	—	13	8	no	—
1308	C₂×D₄	—	13	4	no	—
1309	C₂×D₄	—	13	4	no	—
1310	C₂×D₄	—	13	4	no	—
1311	C₂×D₄	—	13	8	no	—
1312	C₂×D₄	—	13	8	no	—
1313	C₂×D₄	—	13	8	no	—
1314	C₂×D₄	—	13	4	no	—
1315	C₂×D₄	—	13	4	no	—
1316	C₂×D₄	—	13	2	no	—
1317	C₂×D₄	—	13	4	no	—
1318	C₂×D₄	—	13	8	no	—
1319	C₂×D₄	—	13	8	no	—
1320	C₂×D₄	—	26	8	no	—
1321	C₂×D₄	—	26	16	no	—
1322	C₂×D₄	—	26	16	no	—
1323	C₂×D₄	—	26	16	no	—
1324	C₂×D₄	—	26	16	no	—
1325	C₂×D₄	—	26	4	no	—
1326	C₂×D₄	—	52	8	no	—
1327	C₂×D₄	—	52	8	no	—
1328	C₂×D₄	—	52	8	no	—
1329	C₂×D₄	—	52	8	no	—
1330	C₂×D₄	—	52	8	no	—
1331	C₂×D₄	#6127	1	8	yes	complemented
1332	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1333	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1334	C₂×D₄	C₂³×D₁₃	1	2	yes	—
1335	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1336	C₂²×C₄	—	4	4	no	—
1337	C₂²×C₄	—	4	8	no	—
1338	C₂²×C₄	—	13	1	no	—
1339	C₂²×C₄	—	13	1	no	—
1340	C₂²×C₄	—	13	1	no	—
1341	C₂²×C₄	—	13	4	no	—
1342	C₂²×C₄	—	13	4	no	—
1343	C₂²×C₄	—	13	1	no	—
1344	C₂²×C₄	—	13	4	no	—
1345	C₂²×C₄	—	13	4	no	—
1346	C₂²×C₄	—	13	4	no	—
1347	C₂²×C₄	—	13	2	no	—
1348	C₂²×C₄	—	13	2	no	—
1349	C₂²×C₄	—	13	2	no	—
1350	C₂²×C₄	—	13	2	no	—
1351	C₂²×C₄	—	13	1	no	—
1352	C₂²×C₄	—	13	1	no	—
1353	C₂²×C₄	—	13	4	no	—
1354	C₂²×C₄	—	13	4	no	—
1355	C₂²×C₄	—	13	4	no	—
1356	C₂²×C₄	—	13	1	no	—
1357	C₂²×C₄	—	13	4	no	—
1358	C₂²×C₄	—	13	4	no	—
1359	C₂²×C₄	—	13	2	no	—
1360	C₂²×C₄	—	13	4	no	—
1361	C₂²×C₄	—	13	4	no	—
1362	C₂²×C₄	—	13	8	no	—
1363	C₂²×C₄	—	13	4	no	—
1364	C₂²×C₄	—	13	4	no	—
1365	C₂²×C₄	—	26	4	no	—
1366	C₂²×C₄	—	26	16	no	—
1367	C₂²×C₄	—	26	4	no	—
1368	C₂²×C₄	—	52	8	no	—
1369	C₂²×C₄	—	52	4	no	—
1370	C₂²×C₄	—	52	8	no	—
1371	C₂²×C₄	—	52	8	no	—
1372	C₂²×C₄	—	52	4	no	—
1373	C₂²×C₄	—	52	8	no	—
1374	C₂²×C₄	—	52	4	no	—
1375	C₂²×C₄	—	52	2	no	—
1376	C₂²×C₄	—	52	4	no	—
1377	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1378	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1379	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1380	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1381	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1382	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1383	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1384	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1385	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1386	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1387	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1388	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1389	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1390	C₄⋊C₄	—	13	4	no	—
1391	C₄⋊C₄	—	13	8	no	—
1392	C₄⋊C₄	—	13	4	no	—
1393	C₄⋊C₄	—	13	4	no	—
1394	C₄⋊C₄	—	13	2	no	—
1395	C₄⋊C₄	—	13	4	no	—
1396	C₄⋊C₄	—	13	4	no	—
1397	C₄⋊C₄	—	13	8	no	—
1398	C₄⋊C₄	—	13	4	no	—
1399	C₄⋊C₄	—	13	8	no	—
1400	C₄⋊C₄	—	13	8	no	—
1401	C₄⋊C₄	—	13	8	no	—
1402	C₄⋊C₄	—	13	8	no	—
1403	C₄⋊C₄	—	13	2	no	—
1404	C₄⋊C₄	—	13	4	no	—
1405	C₄⋊C₄	—	13	4	no	—
1406	C₄⋊C₄	—	13	4	no	—
1407	C₄⋊C₄	—	13	4	no	—
1408	C₄⋊C₄	—	13	4	no	—
1409	C₄⋊C₄	—	13	4	no	—
1410	C₄⋊C₄	—	13	4	no	—
1411	C₄⋊C₄	—	13	4	no	—
1412	C₄⋊C₄	—	13	4	no	—
1413	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1414	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1415	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1416	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1417	C₄⋊C₄	C₂³×D₁₃	1	2	yes	—
1418	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1419	C₂²⋊C₄	—	13	8	no	—
1420	C₂²⋊C₄	—	13	4	no	—
1421	C₂²⋊C₄	—	13	8	no	—
1422	C₂²⋊C₄	—	13	4	no	—
1423	C₂²⋊C₄	—	13	8	no	—
1424	C₂²⋊C₄	—	13	4	no	—
1425	C₂²⋊C₄	—	13	4	no	—
1426	C₂²⋊C₄	—	13	4	no	—
1427	C₂²⋊C₄	—	13	8	no	—
1428	C₂²⋊C₄	—	13	8	no	—
1429	C₂²⋊C₄	—	13	4	no	—
1430	C₂²⋊C₄	—	13	4	no	—
1431	C₂²⋊C₄	—	13	4	no	—
1432	C₂²⋊C₄	—	13	4	no	—
1433	C₂²⋊C₄	—	13	4	no	—
1434	C₂²⋊C₄	—	13	8	no	—
1435	C₂²⋊C₄	—	13	4	no	—
1436	C₂²⋊C₄	—	13	4	no	—
1437	C₂²⋊C₄	—	13	8	no	—
1438	C₂²⋊C₄	—	13	8	no	—
1439	C₂²⋊C₄	—	13	8	no	—
1440	C₂²⋊C₄	—	13	8	no	—
1441	C₂²⋊C₄	—	13	8	no	—
1442	C₂²⋊C₄	—	13	4	no	—
1443	C₂²⋊C₄	—	13	4	no	—
1444	C₂²⋊C₄	—	13	4	no	—
1445	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1446	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1447	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1448	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1449	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1450	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1451	C₄²	—	13	2	no	—
1452	C₄²	—	13	2	no	—
1453	C₄²	—	13	2	no	—
1454	C₄²	—	13	2	no	—
1455	C₄²	—	13	2	no	—
1456	C₄²	—	13	8	no	—
1457	C₄²	—	13	4	no	—
1458	C₄²	—	13	4	no	—
1459	C₄²	—	13	2	no	—
1460	C₄²	—	13	4	no	—
1461	C₄²	C₂³×D₁₃	1	2	yes	—
1462	C₄²	C₂³×D₁₃	1	8	yes	—
1463	C₄²	C₂³×D₁₃	1	4	yes	—
1464	C₄²	C₂³×D₁₃	1	4	yes	—
1465	C₄²	C₂³×D₁₃	1	2	yes	—
1466	C₄²	C₂³×D₁₃	1	4	yes	—
1467	C₁₃	#62773	1	1	yes	characteristic, complemented, Sylow
1468	C₂³	—	2	8	no	—
1469	C₂³	—	4	2	no	—
1470	C₂³	—	4	2	no	—
1471	C₂³	—	4	4	no	—
1472	C₂³	—	4	4	no	—
1473	C₂³	—	13	1	no	—
1474	C₂³	—	13	1	no	—
1475	C₂³	—	13	4	no	—
1476	C₂³	—	13	4	no	—
1477	C₂³	—	26	2	no	—
1478	C₂³	—	26	2	no	—
1479	C₂³	—	26	8	no	—
1480	C₂³	—	26	8	no	—
1481	C₂³	—	26	2	no	—
1482	C₂³	—	26	8	no	—
1483	C₂³	—	26	8	no	—
1484	C₂³	—	26	4	no	—
1485	C₂³	—	26	8	no	—
1486	C₂³	—	52	4	no	—
1487	C₂³	—	52	2	no	—
1488	C₂³	—	52	4	no	—
1489	C₂³	—	52	2	no	—
1490	C₂³	—	52	4	no	—
1491	C₂³	—	52	4	no	—
1492	C₂³	—	52	32	no	—
1493	C₂³	C₂×#6127	1	8	yes	complemented
1494	C₂³	C₂⁴×D₁₃	1	4	yes	—
1495	C₂³	C₂⁴×D₁₃	1	4	yes	—
1496	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1497	Q₈	—	2	4	no	—
1498	Q₈	—	26	8	no	—
1499	Q₈	—	26	4	no	—
1500	Q₈	—	52	8	no	—
1501	Q₈	—	52	4	no	—
1502	D₄	—	2	16	no	—
1503	D₄	—	2	8	no	—
1504	D₄	—	2	4	no	—
1505	D₄	—	26	8	no	—
1506	D₄	—	26	8	no	—
1507	D₄	—	26	8	no	—
1508	D₄	—	26	8	no	—
1509	D₄	—	26	8	no	—
1510	D₄	—	26	16	no	—
1511	D₄	—	26	16	no	—
1512	D₄	—	26	8	no	—
1513	D₄	—	26	8	no	—
1514	D₄	—	26	4	no	—
1515	D₄	—	52	8	no	—
1516	D₄	—	52	8	no	—
1517	D₄	—	52	8	no	—
1518	D₄	—	52	8	no	—
1519	D₄	—	52	8	no	—
1520	D₄	—	52	4	no	—
1521	D₄	C₂×#6127	1	16	yes	complemented
1522	C₂×C₄	—	2	8	no	—
1523	C₂×C₄	—	2	8	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	2	8	no	—
1526	C₂×C₄	—	2	8	no	—
1527	C₂×C₄	—	4	2	no	—
1528	C₂×C₄	—	4	4	no	—
1529	C₂×C₄	—	4	4	no	—
1530	C₂×C₄	—	4	8	no	—
1531	C₂×C₄	—	4	1	no	—
1532	C₂×C₄	—	4	4	no	—
1533	C₂×C₄	—	4	4	no	—
1534	C₂×C₄	—	13	1	no	—
1535	C₂×C₄	—	13	4	no	—
1536	C₂×C₄	—	13	2	no	—
1537	C₂×C₄	—	13	4	no	—
1538	C₂×C₄	—	13	4	no	—
1539	C₂×C₄	—	13	2	no	—
1540	C₂×C₄	—	13	1	no	—
1541	C₂×C₄	—	13	4	no	—
1542	C₂×C₄	—	13	4	no	—
1543	C₂×C₄	—	26	2	no	—
1544	C₂×C₄	—	26	8	no	—
1545	C₂×C₄	—	26	2	no	—
1546	C₂×C₄	—	26	8	no	—
1547	C₂×C₄	—	26	4	no	—
1548	C₂×C₄	—	26	2	no	—
1549	C₂×C₄	—	26	8	no	—
1550	C₂×C₄	—	26	2	no	—
1551	C₂×C₄	—	26	8	no	—
1552	C₂×C₄	—	26	4	no	—
1553	C₂×C₄	—	26	4	no	—
1554	C₂×C₄	—	26	8	no	—
1555	C₂×C₄	—	26	2	no	—
1556	C₂×C₄	—	26	8	no	—
1557	C₂×C₄	—	26	8	no	—
1558	C₂×C₄	—	52	2	no	—
1559	C₂×C₄	—	52	4	no	—
1560	C₂×C₄	—	52	4	no	—
1561	C₂×C₄	—	52	4	no	—
1562	C₂×C₄	—	52	8	no	—
1563	C₂×C₄	—	52	4	no	—
1564	C₂×C₄	—	52	1	no	—
1565	C₂×C₄	—	52	4	no	—
1566	C₂×C₄	—	52	2	no	—
1567	C₂×C₄	—	52	4	no	—
1568	C₂×C₄	—	52	4	no	—
1569	C₂×C₄	C₂×#6127	1	4	yes	complemented
1570	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1571	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1572	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1573	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1574	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1575	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1576	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1577	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	4	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	4	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	4	8	no	—
1586	C₂²	—	8	8	no	—
1587	C₂²	—	13	2	no	—
1588	C₂²	—	13	2	no	—
1589	C₂²	—	26	8	no	—
1590	C₂²	—	26	1	no	—
1591	C₂²	—	26	1	no	—
1592	C₂²	—	26	1	no	—
1593	C₂²	—	26	1	no	—
1594	C₂²	—	26	4	no	—
1595	C₂²	—	26	4	no	—
1596	C₂²	—	26	4	no	—
1597	C₂²	—	26	4	no	—
1598	C₂²	—	26	4	no	—
1599	C₂²	—	26	4	no	—
1600	C₂²	—	52	16	no	—
1601	C₂²	—	52	16	no	—
1602	C₂²	—	52	8	no	—
1603	C₂²	—	104	8	no	—
1604	C₂²	C₂²×#6127	1	8	yes	—
1605	C₂²	C₂²×#6127	1	2	yes	—
1606	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1607	C₄	—	2	4	no	—
1608	C₄	—	2	1	no	—
1609	C₄	—	2	4	no	—
1610	C₄	—	2	4	no	—
1611	C₄	—	2	2	no	—
1612	C₄	—	2	4	no	—
1613	C₄	—	13	2	no	—
1614	C₄	—	26	2	no	—
1615	C₄	—	26	4	no	—
1616	C₄	—	26	1	no	—
1617	C₄	—	26	4	no	—
1618	C₄	—	26	4	no	—
1619	C₄	—	26	2	no	—
1620	C₄	—	26	4	no	—
1621	C₄	C₂²×#6127	1	4	yes	—
1622	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	—
1623	C₂	—	2	2	no	—
1624	C₂	—	2	8	no	—
1625	C₂	—	4	4	no	—
1626	C₂	—	26	2	no	—
1627	C₂	—	26	2	no	—
1628	C₂	—	52	4	no	—
1629	C₂	—	52	4	no	—
1630	C₂	C₂³×#6127	1	1	yes	characteristic
1631	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1632	C₂	D₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₁₃
commutator, socle, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₄×C₁₃×H(5,𝔽₂)	C₂
hypercenter	C₄×H(5,𝔽₂)	D₁₃
hypocenter	C₁₃	#62773
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₄×H(5,𝔽₂)

Complements

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

N	H ≅ G/N	type
1. #13128875	C₂	semidirect
2. #13128858	C₂	semidirect
3. #13128778	C₂	semidirect
4. #13128764	C₂	semidirect
5. #13128681	C₂	semidirect
6. #13128666	C₂	semidirect
7. #13128634	C₂	semidirect
8. #13128595	C₂	semidirect
9. #13128539	C₂	semidirect
10. #13128521	C₂	semidirect
11. #13128472	C₂	semidirect
12. #13128467	C₂	semidirect
13. #13128446	C₂	semidirect
14. #13128440	C₂	semidirect
15. #13128398	C₂	semidirect
16. D₄×#6127	C₂	semidirect
17. #13128252	C₂	semidirect
18. #13128245	C₂	semidirect
19. #13128129	C₂	semidirect
20. C₂×#11719252	C₂	semidirect
21. C₄×#88251	C₂	semidirect
22. C₂×C₄×D₄×D₁₃	C₂	semidirect
23. C₄×C₁₃×H(5,𝔽₂)	C₂	semidirect
27. C₂²×#6127	C₂²	semidirect
28. C₂³×C₄×D₁₃	C₂²	semidirect
29. C₁₃×#520	C₂²	semidirect
30. C₁₃×#520	C₂²	semidirect
32. C₁₃×#518	C₂²	semidirect
33. C₁₃×#518	C₂²	semidirect
34. C₄×C₁₃×#41	C₂²	semidirect
35. C₄×C₁₃×#41	C₂²	semidirect
37. C₂×C₄×D₄×C₁₃	C₂²	semidirect
38. C₂×C₄×D₄×C₁₃	C₂²	semidirect
39. #11719538	C₂²	semidirect
40. #11719537	C₂²	semidirect
41. #11719535	C₂²	semidirect
42. #11719534	C₂²	semidirect
43. #11719534	C₂²	semidirect
44. #11719534	C₂²	semidirect
45. #11719533	C₂²	semidirect
46. #11719529	C₂²	semidirect
47. #11719511	C₂²	semidirect
48. #11719509	C₂²	semidirect
49. #11719509	C₂²	semidirect
50. C₂×#88193	C₂²	semidirect
51. D₄×C₂²⋊D₁₃	C₂²	semidirect
52. D₄×C₂²⋊D₁₃	C₂²	semidirect
53. D₄×C₂²⋊D₁₃	C₂²	semidirect
54. C₂×#88191	C₂²	semidirect
57. #11719496	C₂²	semidirect
58. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
59. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
60. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
61. #11719290	C₂²	semidirect
62. #11719287	C₂²	semidirect
63. #11719286	C₂²	semidirect
64. #11719285	C₂²	semidirect
65. #11719285	C₂²	semidirect
66. #11719285	C₂²	semidirect
67. #11719284	C₂²	semidirect
68. #11719283	C₂²	semidirect
69. #11719283	C₂²	semidirect
70. #11719273	C₂²	semidirect
71. #11719270	C₂²	semidirect
72. #11719269	C₂²	semidirect
73. #11719269	C₂²	semidirect
74. #11719267	C₂²	semidirect
75. #11719265	C₂²	semidirect
76. #11719265	C₂²	semidirect
77. #11719265	C₂²	semidirect
78. #11719264	C₂²	semidirect
79. #11719263	C₂²	semidirect
80. #11719262	C₂²	semidirect
81. #11719262	C₂²	semidirect
82. #11719261	C₂²	semidirect
83. #11719261	C₂²	semidirect
84. #11719259	C₂²	semidirect
85. #11719259	C₂²	semidirect
86. #11719258	C₂²	semidirect
87. #11719257	C₂²	semidirect
88. #11719256	C₂²	semidirect
89. #11719255	C₂²	semidirect
90. #11719255	C₂²	semidirect
91. D₄×D₅₂	C₂²	semidirect
92. D₄×D₅₂	C₂²	semidirect
93. #11719253	C₂²	semidirect
94. #11719253	C₂²	semidirect
95. #11719253	C₂²	semidirect
96. #11719252	C₂²	semidirect
97. #11719252	C₂²	semidirect
98. #11719252	C₂²	semidirect
99. #11719252	C₂²	semidirect
100. #11719252	C₂²	semidirect
101. #11719252	C₂²	semidirect
102. #11719252	C₂²	semidirect
103. #11719252	C₂²	semidirect
104. #11719252	C₂²	semidirect
105. #11719252	C₂²	semidirect
106. #11719251	C₂²	semidirect
107. #11719250	C₂²	semidirect
108. C₄×D₄×D₁₃	C₂²	semidirect
109. C₄×D₄×D₁₃	C₂²	semidirect
110. C₄×D₄×D₁₃	C₂²	semidirect
111. C₄×D₄×D₁₃	C₂²	semidirect
112. C₄×D₄×D₁₃	C₂²	semidirect
113. #11719248	C₂²	semidirect
114. #11719245	C₂²	semidirect
115. #11719245	C₂²	semidirect
116. #11719244	C₂²	semidirect
117. #11719244	C₂²	semidirect
118. #11719243	C₂²	semidirect
119. #11719243	C₂²	semidirect
120. #11719243	C₂²	semidirect
121. D₄×Dic₂₆	C₂²	semidirect
122. C₄×#6129	C₂²	semidirect
123. #11719240	C₂²	semidirect
124. #11719239	C₂²	semidirect
125. #11719237	C₂²	semidirect
126. #11719236	C₂²	semidirect
127. #11719235	C₂²	semidirect
128. #11719235	C₂²	semidirect
129. #11719234	C₂²	semidirect
130. #11719233	C₂²	semidirect
131. #11719233	C₂²	semidirect
132. #11719232	C₂²	semidirect
133. #11719232	C₂²	semidirect
134. #11719232	C₂²	semidirect
135. #11719230	C₂²	semidirect
136. #11719229	C₂²	semidirect
137. #11719224	C₂²	semidirect
138. #11719222	C₂²	semidirect
139. #11719220	C₂²	semidirect
140. #11719219	C₂²	semidirect
141. #11719216	C₂²	semidirect
142. C₂×#88150	C₂²	semidirect
143. #11719212	C₂²	semidirect
144. #11719212	C₂²	semidirect
145. C₂×#88148	C₂²	semidirect
146. #11719209	C₂²	semidirect
147. C₂×#88147	C₂²	semidirect
148. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
149. #11719200	C₂²	semidirect
150. #11719199	C₂²	semidirect
151. #11719198	C₂²	semidirect
152. #11719195	C₂²	semidirect
153. #11719195	C₂²	semidirect
154. #11719195	C₂²	semidirect
155. C₂×#88138	C₂²	semidirect
156. C₂×#88137	C₂²	semidirect
157. C₂×#88136	C₂²	semidirect
158. #11719191	C₂²	semidirect
159. C₂×#88135	C₂²	semidirect
160. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
161. #11719188	C₂²	semidirect
162. C₂×#88132	C₂²	semidirect
163. #11719184	C₂²	semidirect
164. #11719184	C₂²	semidirect
165. #11719182	C₂²	semidirect
166. C₄×#6127	C₂²	semidirect
167. C₄×#6127	C₂²	semidirect
168. C₄×#6127	C₂²	semidirect
169. C₂×C₄×D₅₂	C₂²	semidirect
170. C₂×C₄×D₅₂	C₂²	semidirect
171. C₂×#88126	C₂²	semidirect
172. C₂×C₄²×D₁₃	C₂²	semidirect
181. C₂³×C₄×C₁₃	C₂³	semidirect
186. C₂²×C₂²⋊D₁₃	C₂³	semidirect
199. C₂×#6127	C₂³	semidirect
200. C₂×#6127	C₂³	semidirect
215. C₂²×C₄×D₁₃	C₂³	semidirect
216. C₂²×Dic₂₆	C₂³	semidirect
217. C₄×Q₈×C₁₃	C₂³	semidirect
218. C₄×Q₈×C₁₃	C₂³	semidirect
219. C₄×Q₈×C₁₃	C₂³	semidirect
227. C₄×D₄×C₁₃	C₂³	semidirect
228. C₄×D₄×C₁₃	C₂³	semidirect
229. C₄×D₄×C₁₃	C₂³	semidirect
230. C₄×D₄×C₁₃	C₂³	semidirect
231. C₄×D₄×C₁₃	C₂³	semidirect
232. C₄×D₄×C₁₃	C₂³	semidirect
233. C₄×D₄×C₁₃	C₂³	semidirect
235. C₁₃×#117	C₂³	semidirect
236. C₁₃×#117	C₂³	semidirect
237. C₁₃×#117	C₂³	semidirect
239. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
240. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
243. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
244. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
246. C₂×C₄²×C₁₃	C₂³	semidirect
247. C₂×C₄²×C₁₃	C₂³	semidirect
249. #88207	C₂³	semidirect
252. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
254. #88201	C₂³	semidirect
257. #88200	C₂³	semidirect
258. #88198	C₂³	semidirect
260. #88194	C₂³	semidirect
266. #88193	C₂³	semidirect
267. #88193	C₂³	semidirect
270. #88192	C₂³	semidirect
275. #88191	C₂³	semidirect
276. #88190	C₂³	semidirect
278. #88189	C₂³	semidirect
287. #88184	C₂³	semidirect
288. #88184	C₂³	semidirect
289. #88184	C₂³	semidirect
291. #88183	C₂³	semidirect
292. #88183	C₂³	semidirect
293. #88183	C₂³	semidirect
294. #88183	C₂³	semidirect
305. C₄×C₂²⋊D₁₃	C₂³	semidirect
306. C₄×C₂²⋊D₁₃	C₂³	semidirect
307. C₄×C₂²⋊D₁₃	C₂³	semidirect
308. C₄×C₂²⋊D₁₃	C₂³	semidirect
309. C₄×C₂²⋊D₁₃	C₂³	semidirect
310. C₄×C₂²⋊D₁₃	C₂³	semidirect
311. C₄×C₂²⋊D₁₃	C₂³	semidirect
312. C₄×C₂²⋊D₁₃	C₂³	semidirect
319. C₂×#6103	C₂³	semidirect
320. C₂×#6103	C₂³	semidirect
322. #88180	C₂³	semidirect
323. #88180	C₂³	semidirect
325. C₂×C₄⋊Dic₁₃	C₂³	semidirect
326. #88178	C₂³	semidirect
327. #88178	C₂³	semidirect
328. #88178	C₂³	semidirect
329. #88178	C₂³	semidirect
331. C₂×#6101	C₂³	semidirect
332. C₂×#6101	C₂³	semidirect
333. C₂×#6101	C₂³	semidirect
334. C₂×#6101	C₂³	semidirect
338. C₂×C₄×Dic₁₃	C₂³	semidirect
339. #88152	C₂³	semidirect
340. #88152	C₂³	semidirect
341. #88152	C₂³	semidirect
342. #88152	C₂³	semidirect
348. #88150	C₂³	semidirect
349. #88150	C₂³	semidirect
350. #88150	C₂³	semidirect
358. #88148	C₂³	semidirect
359. #88148	C₂³	semidirect
360. #88148	C₂³	semidirect
361. #88148	C₂³	semidirect
364. #88147	C₂³	semidirect
365. #88146	C₂³	semidirect
368. C₄⋊C₄×D₁₃	C₂³	semidirect
369. #88144	C₂³	semidirect
370. #88144	C₂³	semidirect
371. #88144	C₂³	semidirect
372. #88143	C₂³	semidirect
373. #88143	C₂³	semidirect
374. #88143	C₂³	semidirect
375. #88142	C₂³	semidirect
376. #88142	C₂³	semidirect
377. #88142	C₂³	semidirect
378. #88141	C₂³	semidirect
381. #88139	C₂³	semidirect
382. #88139	C₂³	semidirect
383. #88139	C₂³	semidirect
384. #88139	C₂³	semidirect
388. #88138	C₂³	semidirect
389. #88138	C₂³	semidirect
390. #88138	C₂³	semidirect
391. #88138	C₂³	semidirect
395. #88137	C₂³	semidirect
396. #88137	C₂³	semidirect
397. #88137	C₂³	semidirect
405. #88135	C₂³	semidirect
406. #88135	C₂³	semidirect
409. C₂²⋊C₄×D₁₃	C₂³	semidirect
410. #88133	C₂³	semidirect
411. #88133	C₂³	semidirect
412. #88133	C₂³	semidirect
416. #88132	C₂³	semidirect
417. #88132	C₂³	semidirect
418. #88132	C₂³	semidirect
419. #88132	C₂³	semidirect
420. #88131	C₂³	semidirect
421. #88130	C₂³	semidirect
422. #88130	C₂³	semidirect
423. #88130	C₂³	semidirect
425. #88129	C₂³	semidirect
426. #88129	C₂³	semidirect
435. C₄×D₅₂	C₂³	semidirect
436. C₄×D₅₂	C₂³	semidirect
437. C₄×D₅₂	C₂³	semidirect
438. C₄×D₅₂	C₂³	semidirect
442. #88126	C₂³	semidirect
443. #88126	C₂³	semidirect
444. #88126	C₂³	semidirect
445. #88126	C₂³	semidirect
446. #88126	C₂³	semidirect
451. C₄²×D₁₃	C₂³	semidirect
452. #88124	C₂³	semidirect
453. #88124	C₂³	semidirect
454. #88123	C₂³	semidirect
455. C₄×Dic₂₆	C₂³	semidirect
456. C₄×Dic₂₆	C₂³	semidirect
457. C₄×Dic₂₆	C₂³	semidirect
458. C₄×Dic₂₆	C₂³	semidirect
459. C₄×Dic₂₆	C₂³	semidirect
460. C₄×Dic₂₆	C₂³	semidirect
477. C₂×D₄×C₁₃	#41	semidirect
673. C₄×H(5,𝔽₂)	D₁₃	semidirect
680. C₂³×C₁₃	C₂×#41	semidirect
708. D₄×C₁₃	C₂×#41	semidirect
721. C₂×C₄×C₁₃	C₂×#41	semidirect
780. C₄×D₁₃	H(5,𝔽₂)	semidirect
900. #520	C₂×D₁₃	semidirect
901. #520	C₂×D₁₃	semidirect
906. #518	C₂×D₁₃	semidirect
907. #518	C₂×D₁₃	semidirect
912. C₄×#41	C₂×D₁₃	semidirect
913. C₄×#41	C₂×D₁₃	semidirect
928. C₂×C₄×D₄	C₂×D₁₃	semidirect
929. C₂×C₄×D₄	C₂×D₁₃	semidirect
1022. C₂³×C₄	C₂²×D₁₃	semidirect
1150. C₄×Q₈	C₂²×D₁₃	semidirect
1151. C₄×Q₈	C₂²×D₁₃	semidirect
1152. C₄×Q₈	C₂²×D₁₃	semidirect
1200. C₄×D₄	C₂²×D₁₃	semidirect
1201. C₄×D₄	C₂²×D₁₃	semidirect
1202. C₄×D₄	C₂²×D₁₃	semidirect
1203. C₄×D₄	C₂²×D₁₃	semidirect
1204. C₄×D₄	C₂²×D₁₃	semidirect
1205. C₄×D₄	C₂²×D₁₃	semidirect
1206. C₄×D₄	C₂²×D₁₃	semidirect
1221. #117	C₂²×D₁₃	semidirect
1222. #117	C₂²×D₁₃	semidirect
1223. #117	C₂²×D₁₃	semidirect
1235. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1236. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1253. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1254. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1265. C₂×C₄²	C₂²×D₁₃	semidirect
1266. C₂×C₄²	C₂²×D₁₃	semidirect
1331. C₂×D₄	#6127	semidirect
1467. C₁₃	#62773	semidirect
1493. C₂³	C₂×#6127	semidirect
1521. D₄	C₂×#6127	semidirect
1569. C₂×C₄	C₂×#6127	semidirect

Maximal subgroups

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

subgroup	index
#13128875	2
#13128858	2
#13128778	2
#13128764	2
#13128681	2
#13128666	2
#13128634	2
#13128595	2
#13128539	2
#13128521	2
#13128472	2
#13128467	2
#13128446	2
#13128440	2
#13128398	2
D₄×#6127	2
#13128252	2
#13128245	2
#13128129	2
C₂×#11719252	2
C₄×#88251	2
C₂×C₄×D₄×D₁₃	2
C₄×C₁₃×H(5,𝔽₂)	2
#62773	13