Subgroups — #16727816

Order 3328.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#6127	C₂	1	1	yes	maximal, characteristic
2	#13123908	C₂	1	2	yes	maximal, complemented
3	#13123904	C₂	1	2	yes	maximal, complemented
4	#13123895	C₂	1	2	yes	maximal, complemented
5	#13123887	C₂	1	2	yes	maximal, complemented
6	#13123885	C₂	1	2	yes	maximal, complemented
7	#13123883	C₂	1	2	yes	maximal, complemented
8	#13123866	C₂	1	2	yes	maximal, complemented
9	#13123861	C₂	1	2	yes	maximal, complemented
10	#13123579	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#6099	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123557	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123557	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123555	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123539	C₂	1	1	yes	maximal, characteristic, complemented
16	#13123530	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123501	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123485	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123282	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123282	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123280	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11718771	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#6127	C₂²	1	1	yes	characteristic
25	C₂²×#6127	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
29	D₄×C₂²⋊D₁₃	C₄	1	2	yes	—
30	#11719496	C₂²	1	1	yes	characteristic
31	#11719496	C₂²	1	1	yes	characteristic
32	C₂²×#6099	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#6099	C₂²	1	1	yes	characteristic, complemented
34	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
35	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
37	C₂×#88155	C₂²	1	1	yes	characteristic, complemented
38	#11719258	C₄	1	1	yes	characteristic
39	#11719257	C₄	1	1	yes	characteristic
40	#11719257	C₄	1	1	yes	characteristic
41	#11719256	C₄	1	1	yes	characteristic
42	#11719255	C₄	1	1	yes	characteristic
43	#11719255	C₄	1	1	yes	characteristic
44	D₄×D₅₂	C₄	1	1	yes	characteristic
45	#11719253	C₂²	1	2	yes	—
46	#11719252	C₂²	1	2	yes	—
47	#11719252	C₂²	1	2	yes	—
48	C₄×D₄×D₁₃	C₂²	1	2	yes	—
49	D₄×Dic₂₆	C₄	1	1	yes	characteristic
50	#11719212	C₄	1	2	yes	—
51	#11719195	C₄	1	2	yes	—
52	#11719195	C₄	1	2	yes	—
53	#11719182	C₂²	1	1	yes	characteristic
54	C₄×#6127	C₂²	1	1	yes	characteristic
55	C₁₃×#435	C₂²	1	1	yes	characteristic
56	C₁₃×#435	C₂²	1	1	yes	characteristic
57	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
67	#11718868	C₂²	1	1	yes	characteristic, complemented
68	#11718868	C₂²	1	1	yes	characteristic, complemented
69	#11718790	C₂²	1	2	yes	complemented
70	#11718790	C₂²	1	2	yes	complemented
71	#11718789	C₂²	1	2	yes	complemented
72	#11718789	C₂²	1	2	yes	complemented
73	#11718788	C₂²	1	2	yes	complemented
74	#11718788	C₂²	1	2	yes	complemented
75	#11718787	C₂²	1	2	yes	complemented
76	#11718787	C₂²	1	2	yes	complemented
77	#11718772	C₂²	1	2	yes	complemented
78	#11718772	C₂²	1	2	yes	complemented
79	#11718771	C₂²	1	1	yes	characteristic
80	#11718771	C₂²	1	1	yes	characteristic
81	#11718771	C₂²	1	1	yes	characteristic
82	#11718771	C₂²	1	1	yes	characteristic
83	#11718771	C₂²	1	2	yes	complemented
84	#11718771	C₂²	1	2	yes	complemented
85	#11718771	C₂²	1	1	yes	characteristic, complemented
86	#11718771	C₂²	1	1	yes	characteristic, complemented
87	#11718771	C₂²	1	1	yes	characteristic, complemented
88	#11718771	C₂²	1	1	yes	characteristic, complemented
89	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
90	C₈×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
91	C₂×#88060	C₂²	1	2	yes	complemented
92	C₂×#88060	C₂²	1	2	yes	complemented
93	#11718763	C₂²	1	1	yes	characteristic, complemented
94	#11718763	C₂²	1	1	yes	characteristic, complemented
95	#11718762	C₂²	1	1	yes	characteristic, complemented
96	#11718762	C₂²	1	1	yes	characteristic, complemented
97	#11718673	C₂²	1	2	yes	complemented
98	#11718672	C₂²	1	2	yes	—
99	#11718672	C₂²	1	2	yes	complemented
100	D₄×#1055	C₂²	1	2	yes	complemented
101	#11718585	C₂²	1	1	yes	characteristic, complemented
102	C₄×#6099	C₂²	1	1	yes	characteristic, complemented
103	#11718501	C₂²	1	2	yes	complemented
104	#11718501	C₂²	1	2	yes	complemented
105	#11718499	C₂²	1	2	yes	complemented
106	#11718497	C₂²	1	2	yes	complemented
107	#11718497	C₂²	1	2	yes	complemented
108	#11718496	C₂²	1	2	yes	complemented
109	#11718495	C₂²	1	2	yes	complemented
110	#11718494	C₂²	1	2	yes	complemented
111	#11718391	C₂²	1	2	yes	complemented
112	#11718391	C₂²	1	2	yes	complemented
113	#11718390	C₂²	1	2	yes	complemented
114	#11718390	C₂²	1	2	yes	complemented
115	#11718389	C₂²	1	2	yes	complemented
116	#11718389	C₂²	1	2	yes	complemented
117	#11718388	C₂²	1	2	yes	complemented
118	#11718388	C₂²	1	2	yes	complemented
119	#11718388	C₂²	1	2	yes	complemented
120	#11718388	C₂²	1	2	yes	complemented
121	#11718387	C₂²	1	2	yes	complemented
122	#11718387	C₂²	1	2	yes	complemented
123	#11718386	C₂²	1	2	yes	complemented
124	#11718386	C₂²	1	2	yes	complemented
125	D₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
126	D₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
127	#11718370	C₂²	1	2	yes	complemented
128	#11718370	C₂²	1	2	yes	complemented
129	#11718367	C₂²	1	2	yes	complemented
130	#11718367	C₂²	1	2	yes	complemented
131	#11718367	C₂²	1	2	yes	complemented
132	#11718367	C₂²	1	2	yes	complemented
133	#11718366	C₂²	1	2	yes	complemented
134	#11718366	C₂²	1	2	yes	complemented
135	C₂²×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
136	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×C₂²⋊D₁₃	C₂×C₄	1	2	yes	—
139	C₂²×C₂²⋊D₁₃	C₂×C₄	1	2	yes	—
140	C₂×D₄×D₁₃	C₂×C₄	1	2	yes	—
141	C₂×#6127	—	4	2	no	—
142	C₂×#6127	—	4	2	no	—
143	C₂×#6127	—	4	2	no	—
144	C₂×#6127	—	4	2	no	—
145	C₂×#6127	C₂×C₄	1	2	yes	—
146	C₂×#6127	C₂×C₄	1	2	yes	—
147	C₂×#6127	C₂×C₄	1	1	yes	characteristic
148	C₂×#6127	C₂×C₄	1	1	yes	characteristic
149	C₂×#6127	C₂×C₄	1	1	yes	characteristic
150	C₂×#6127	C₂×C₄	1	1	yes	characteristic
151	C₂×#6127	C₂³	1	1	yes	characteristic
152	C₂×#6127	C₂³	1	1	yes	characteristic
153	C₂×#6127	C₂³	1	1	yes	characteristic
154	C₂×#6127	C₂³	1	2	yes	—
155	C₂×#6127	C₂³	1	2	yes	—
156	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
157	C₂²×D₅₂	C₂×C₄	1	1	yes	characteristic
158	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
159	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
160	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
161	C₂²×Dic₂₆	C₂×C₄	1	1	yes	characteristic
162	C₂×C₁₃×M₁₆	—	4	2	no	—
163	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
167	C₂²×C₈×C₁₃	—	4	2	no	—
168	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
169	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
170	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
171	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
172	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
173	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
174	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
175	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
176	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
177	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
178	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
179	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
180	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
181	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
182	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
183	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
184	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
185	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
186	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
187	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
188	#88207	C₂×C₄	1	2	yes	—
189	#88207	C₂×C₄	1	2	yes	—
190	#88194	C₂×C₄	1	2	yes	—
191	#88193	C₂×C₄	1	2	yes	—
192	#88193	C₂×C₄	1	2	yes	—
193	#88192	C₂×C₄	1	2	yes	—
194	#88191	C₂×C₄	1	2	yes	—
195	#88191	C₂×C₄	1	2	yes	—
196	D₄×Dic₁₃	C₂×C₄	1	2	yes	—
197	#88184	C₂×C₄	1	2	yes	—
198	#88184	C₂×C₄	1	2	yes	—
199	#88184	C₂×C₄	1	1	yes	characteristic
200	#88184	C₂×C₄	1	1	yes	characteristic
201	#88184	C₂×C₄	1	1	yes	characteristic
202	#88184	C₂×C₄	1	1	yes	characteristic
203	#88183	C₂×C₄	1	2	yes	—
204	#88183	C₂×C₄	1	2	yes	—
205	C₄×C₂²⋊D₁₃	C₂×C₄	1	2	yes	—
206	C₄×C₂²⋊D₁₃	C₂×C₄	1	2	yes	—
207	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
208	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
209	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
210	C₄×C₂²⋊D₁₃	C₂³	1	2	yes	—
211	#88180	C₂³	1	1	yes	characteristic
212	#88178	C₂×C₄	1	1	yes	characteristic
213	#88178	C₂×C₄	1	1	yes	characteristic
214	#88178	C₂×C₄	1	1	yes	characteristic
215	#88178	C₂×C₄	1	1	yes	characteristic
216	C₂×#6099	—	4	2	no	—
217	C₂×#6099	—	4	2	no	—
218	C₂×#6099	C₂³	1	1	yes	characteristic
219	C₂×#6099	C₂³	1	1	yes	characteristic
220	C₂×#6099	C₂³	1	1	yes	characteristic
221	C₂×#6099	C₂³	1	1	yes	characteristic
222	C₂×#6099	C₂³	1	2	yes	—
223	C₂×#6099	C₂³	1	2	yes	—
224	C₂²×#1055	C₂³	1	2	yes	—
225	C₂²×#1055	C₂³	1	2	yes	—
226	#88155	—	4	2	no	—
227	#88155	—	4	2	no	—
228	#88155	—	4	2	no	—
229	#88155	—	4	2	no	—
230	C₂×#6094	C₂³	1	2	yes	—
231	C₂×#6094	C₂³	1	2	yes	—
232	C₂×#6094	C₂³	1	2	yes	—
233	C₂×#6094	C₂³	1	2	yes	—
234	C₂×C₈×D₁₃	C₂³	1	2	yes	—
235	C₂×C₈×D₁₃	C₂³	1	2	yes	—
236	C₂×C₈×D₁₃	C₂³	1	2	yes	—
237	C₂×C₈×D₁₃	C₂³	1	2	yes	—
238	#88150	C₂×C₄	1	2	yes	—
239	#88150	C₂×C₄	1	2	yes	—
240	#88149	C₂×C₄	1	2	yes	—
241	#88148	C₂×C₄	1	2	yes	—
242	#88148	C₂×C₄	1	2	yes	—
243	#88147	C₂×C₄	1	2	yes	—
244	C₄⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
245	#88142	C₂×C₄	1	2	yes	—
246	#88139	C₂×C₄	1	2	yes	—
247	#88139	C₂×C₄	1	2	yes	—
248	#88138	C₂×C₄	1	2	yes	—
249	#88138	C₂×C₄	1	2	yes	—
250	#88138	C₂×C₄	1	2	yes	—
251	#88138	C₂×C₄	1	2	yes	—
252	#88137	C₂×C₄	1	2	yes	—
253	#88137	C₂×C₄	1	2	yes	—
254	#88136	C₂×C₄	1	2	yes	—
255	#88136	C₂×C₄	1	2	yes	—
256	#88135	C₂×C₄	1	2	yes	—
257	#88135	C₂×C₄	1	2	yes	—
258	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
259	C₂²⋊C₄×D₁₃	C₂×C₄	1	2	yes	—
260	#88132	C₂×C₄	1	2	yes	—
261	#88132	C₂×C₄	1	2	yes	—
262	#88129	C₂×C₄	1	1	yes	characteristic
263	#88129	C₂×C₄	1	1	yes	characteristic
264	#88128	C₂×C₄	1	1	yes	characteristic
265	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
266	C₄×D₅₂	C₂×C₄	1	1	yes	characteristic
267	C₄×D₅₂	C₂³	1	2	yes	—
268	C₄×D₅₂	C₂³	1	2	yes	—
269	#88126	C₂³	1	2	yes	—
270	C₄²×D₁₃	C₂³	1	2	yes	—
271	#88123	C₂×C₄	1	1	yes	characteristic
272	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
273	C₄×Dic₂₆	C₂×C₄	1	1	yes	characteristic
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₃×#97	C₂³	1	1	yes	characteristic
287	C₁₃×#97	C₂³	1	1	yes	characteristic
288	C₁₃×#97	C₂³	1	1	yes	characteristic
289	C₁₃×#97	C₂³	1	1	yes	characteristic
290	C₂²⋊#1055	C₂³	1	2	yes	—
291	C₂²⋊#1055	C₂³	1	2	yes	—
292	C₂²⋊#1055	C₂³	1	2	yes	—
293	C₂²⋊#1055	C₂³	1	2	yes	—
294	#88060	C₂³	1	2	yes	—
295	#88060	C₂³	1	2	yes	—
296	#88060	C₂³	1	2	yes	—
297	#88060	C₂³	1	2	yes	—
298	#88060	C₂³	1	2	yes	—
299	#88060	C₂³	1	2	yes	—
300	#88060	C₂³	1	2	yes	—
301	#88060	C₂³	1	2	yes	—
302	#88060	C₂³	1	2	yes	—
303	#88060	C₂³	1	2	yes	—
304	#88060	C₂³	1	2	yes	—
305	#88060	C₂³	1	2	yes	—
306	#88060	C₂³	1	2	yes	—
307	#88060	C₂³	1	2	yes	—
308	#88060	C₂³	1	2	yes	—
309	#88060	C₂³	1	2	yes	—
310	#88055	C₂³	1	2	yes	—
311	#88055	C₂³	1	2	yes	—
312	#88054	C₂³	1	2	yes	—
313	#88054	C₂³	1	2	yes	—
314	#88054	C₂³	1	2	yes	—
315	#88054	C₂³	1	2	yes	—
316	C₈×Dic₁₃	C₂³	1	2	yes	—
317	C₈×Dic₁₃	C₂³	1	2	yes	—
318	C₄⋊#1055	C₂³	1	2	yes	—
319	C₄⋊#1055	C₂³	1	2	yes	—
320	#88043	C₂³	1	2	yes	—
321	C₄×#1055	C₂³	1	2	yes	—
322	#60240	—	13	1	no	maximal, Sylow
323	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
324	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
325	C₂³×D₁₃	C₂²×C₄	1	2	yes	—
326	C₂³×D₁₃	C₂²×C₄	1	2	yes	—
327	C₂×D₄×C₁₃	—	4	2	no	—
328	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
329	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
330	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
331	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
332	C₂²×C₄×C₁₃	—	2	2	no	—
333	C₂²×C₄×C₁₃	—	2	2	no	—
334	C₂²×C₄×C₁₃	—	2	2	no	—
335	C₂²×C₄×C₁₃	—	2	2	no	—
336	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
337	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
338	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
339	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
340	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
341	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
344	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×C₂²⋊D₁₃	—	4	4	no	—
350	C₂×C₂²⋊D₁₃	—	4	4	no	—
351	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
352	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
353	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
354	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
355	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
356	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
357	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
358	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
359	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
360	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
361	C₂×C₂²⋊D₁₃	C₂²×C₄	1	2	yes	—
362	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
363	C₂²×Dic₁₃	C₂²×C₄	1	2	yes	—
364	D₄×D₁₃	—	4	4	no	—
365	#6127	—	2	2	no	—
366	#6127	—	2	2	no	—
367	#6127	—	2	2	no	—
368	#6127	—	2	2	no	—
369	#6127	—	2	2	no	—
370	#6127	—	2	2	no	—
371	#6127	—	4	2	no	—
372	#6127	—	4	2	no	—
373	#6127	—	4	2	no	—
374	#6127	—	4	2	no	—
375	#6127	—	4	2	no	—
376	#6127	—	4	2	no	—
377	#6127	—	4	2	no	—
378	#6127	—	4	2	no	—
379	#6127	—	4	4	no	—
380	#6127	—	4	4	no	—
381	C₂×D₅₂	—	4	2	no	—
382	C₂×D₅₂	—	4	2	no	—
383	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
384	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
385	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
386	C₂×D₅₂	C₂²×C₄	1	2	yes	—
387	C₂×D₅₂	C₂²×C₄	1	2	yes	—
388	C₂×D₅₂	C₂²×C₄	1	2	yes	—
389	C₂×D₅₂	C₂²×C₄	1	2	yes	—
390	C₂×C₄×D₁₃	—	4	2	no	—
391	C₂×C₄×D₁₃	—	4	2	no	—
392	C₂×C₄×D₁₃	—	4	2	no	—
393	C₂×C₄×D₁₃	—	4	2	no	—
394	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
395	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
396	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
397	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
398	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
399	C₂×C₄×D₁₃	C₂²×C₄	1	2	yes	—
400	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
401	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
402	C₂×C₄×D₁₃	C₂⁴	1	2	yes	—
403	C₂×Dic₂₆	—	4	2	no	—
404	C₂×Dic₂₆	—	4	2	no	—
405	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
406	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
407	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
408	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
409	C₂×Dic₂₆	C₂²×C₄	1	2	yes	—
410	C₁₃×M₁₆	—	4	1	no	—
411	C₁₃×M₁₆	—	4	1	no	—
412	C₁₃×M₁₆	—	4	1	no	—
413	C₁₃×M₁₆	—	4	1	no	—
414	C₂×C₈×C₁₃	—	2	2	no	—
415	C₂×C₈×C₁₃	—	2	2	no	—
416	C₂×C₈×C₁₃	—	2	2	no	—
417	C₂×C₈×C₁₃	—	2	2	no	—
418	C₂×C₈×C₁₃	—	4	1	no	—
419	C₂×C₈×C₁₃	—	4	1	no	—
420	C₂×C₈×C₁₃	—	4	1	no	—
421	C₂×C₈×C₁₃	—	4	1	no	—
422	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
424	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
426	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
427	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
428	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
430	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
431	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
432	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
433	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
435	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
436	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
437	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
441	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
442	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
443	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
444	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
447	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
448	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
449	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
450	C₂²⋊Dic₁₃	C₂²×C₄	1	2	yes	—
451	#6103	C₂²×C₄	1	2	yes	—
452	#6103	C₂²×C₄	1	2	yes	—
453	#6103	C₂²×C₄	1	2	yes	—
454	#6103	C₂²×C₄	1	2	yes	—
455	#6103	C₂²×C₄	1	2	yes	—
456	#6103	C₂²×C₄	1	2	yes	—
457	#6103	C₂²×C₄	1	2	yes	—
458	#6103	C₂²×C₄	1	2	yes	—
459	#6103	C₂²×C₄	1	2	yes	—
460	#6103	C₂²×C₄	1	2	yes	—
461	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
462	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
463	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
464	C₄⋊Dic₁₃	C₂²×C₄	1	2	yes	—
465	#6101	C₂²×C₄	1	2	yes	—
466	#6101	C₂²×C₄	1	2	yes	—
467	#6101	C₂²×C₄	1	2	yes	—
468	#6101	C₂²×C₄	1	2	yes	—
469	#6101	C₂²×C₄	1	2	yes	—
470	#6101	C₂²×C₄	1	2	yes	—
471	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
472	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
473	C₄×Dic₁₃	C₂⁴	1	2	yes	—
474	#6099	—	2	2	no	—
475	#6099	—	2	2	no	—
476	#6099	—	2	2	no	—
477	#6099	—	2	2	no	—
478	#6099	—	4	2	no	—
479	#6099	—	4	2	no	—
480	C₂×#1055	—	4	2	no	—
481	C₂×#1055	—	4	2	no	—
482	C₂×#1055	C₂⁴	1	2	yes	—
483	C₂×#1055	C₂⁴	1	2	yes	—
484	C₂×#1055	C₂⁴	1	2	yes	—
485	C₂×#1055	C₂⁴	1	2	yes	—
486	#6094	—	4	2	no	—
487	#6094	—	4	2	no	—
488	#6094	—	4	2	no	—
489	#6094	—	4	2	no	—
490	C₈×D₁₃	—	4	2	no	—
491	C₈×D₁₃	—	4	2	no	—
492	C₈×D₁₃	—	4	2	no	—
493	C₈×D₁₃	—	4	2	no	—
494	D₄×#41	—	13	1	no	—
495	#2981	—	13	2	no	—
496	#2980	—	13	2	no	—
497	#2978	—	13	2	no	—
498	#2977	—	13	2	no	—
499	#2976	—	13	2	no	—
500	#2976	—	13	2	no	—
501	#2974	—	13	2	no	—
502	#2973	—	13	2	no	—
503	#2935	—	13	1	no	—
504	D₄×M₁₆	—	13	1	no	—
505	#2933	—	13	1	no	—
506	#2933	—	13	1	no	—
507	#2932	—	13	1	no	—
508	#2930	—	13	1	no	—
509	#2929	—	13	1	no	—
510	C₂×#435	D₁₃	1	1	yes	characteristic, complemented
511	#2925	—	13	1	no	—
512	#2923	—	13	1	no	—
513	#2880	—	13	1	no	—
514	#2880	—	13	1	no	—
515	#2879	—	13	1	no	—
516	C₂×#408	—	13	1	no	—
517	C₂³×C₁₃	—	2	2	no	—
518	C₂³×C₁₃	—	2	2	no	—
519	C₂³×C₁₃	—	2	2	no	—
520	C₂³×C₁₃	—	4	1	no	—
521	C₂³×C₁₃	—	4	1	no	—
522	C₂³×C₁₃	—	4	1	no	—
523	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
524	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
525	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
526	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
527	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
528	C₂²×D₁₃	—	2	4	no	—
529	C₂²×D₁₃	—	4	2	no	—
530	C₂²×D₁₃	—	4	2	no	—
531	C₂²×D₁₃	—	4	2	no	—
532	C₂²×D₁₃	—	4	2	no	—
533	C₂²×D₁₃	—	4	2	no	—
534	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
535	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
536	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
537	D₄×C₁₃	—	2	2	no	—
538	D₄×C₁₃	—	2	2	no	—
539	D₄×C₁₃	—	4	1	no	—
540	D₄×C₁₃	—	4	1	no	—
541	C₂×C₄×C₁₃	—	2	2	no	—
542	C₂×C₄×C₁₃	—	2	2	no	—
543	C₂×C₄×C₁₃	—	2	2	no	—
544	C₂×C₄×C₁₃	—	2	2	no	—
545	C₂×C₄×C₁₃	—	2	2	no	—
546	C₂×C₄×C₁₃	—	2	2	no	—
547	C₂×C₄×C₁₃	—	2	1	no	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	4	1	no	—
556	C₂×C₄×C₁₃	—	4	1	no	—
557	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
558	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
559	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
560	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
561	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
562	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
563	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
564	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
565	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
566	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
567	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
568	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
569	C₂²⋊D₁₃	—	2	4	no	—
570	C₂²⋊D₁₃	—	2	4	no	—
571	C₂²⋊D₁₃	—	2	4	no	—
572	C₂²⋊D₁₃	—	2	4	no	—
573	C₂²⋊D₁₃	—	4	2	no	—
574	C₂²⋊D₁₃	—	4	2	no	—
575	C₂²⋊D₁₃	—	4	2	no	—
576	C₂²⋊D₁₃	—	4	2	no	—
577	C₂²⋊D₁₃	—	4	2	no	—
578	C₂²⋊D₁₃	—	4	2	no	—
579	C₂²⋊D₁₃	—	4	2	no	—
580	C₂×Dic₁₃	—	4	2	no	—
581	C₂×Dic₁₃	—	4	2	no	—
582	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
583	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
584	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
585	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
586	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
587	D₅₂	—	2	2	no	—
588	D₅₂	—	2	2	no	—
589	D₅₂	—	2	2	no	—
590	D₅₂	—	4	2	no	—
591	D₅₂	—	4	2	no	—
592	D₅₂	—	4	2	no	—
593	D₅₂	—	4	2	no	—
594	C₄×D₁₃	—	2	2	no	—
595	C₄×D₁₃	—	2	2	no	—
596	C₄×D₁₃	—	2	2	no	—
597	C₄×D₁₃	—	2	2	no	—
598	C₄×D₁₃	—	2	2	no	—
599	C₄×D₁₃	—	2	2	no	—
600	C₄×D₁₃	—	4	2	no	—
601	C₄×D₁₃	—	4	2	no	—
602	C₄×D₁₃	—	4	2	no	—
603	C₄×D₁₃	—	4	2	no	—
604	C₄×D₁₃	—	4	2	no	—
605	C₄×D₁₃	—	4	2	no	—
606	Dic₂₆	—	2	2	no	—
607	Dic₂₆	—	2	2	no	—
608	Dic₂₆	—	2	2	no	—
609	Dic₂₆	—	4	2	no	—
610	Dic₂₆	—	4	2	no	—
611	C₈×C₁₃	—	2	1	no	—
612	C₈×C₁₃	—	2	1	no	—
613	C₈×C₁₃	—	2	1	no	—
614	C₈×C₁₃	—	2	1	no	—
615	C₈×C₁₃	—	2	1	no	—
616	C₈×C₁₃	—	2	1	no	—
617	C₈×C₁₃	—	2	1	no	—
618	C₈×C₁₃	—	2	1	no	—
619	#1055	—	2	2	no	—
620	#1055	—	2	2	no	—
621	#1055	—	2	2	no	—
622	#1055	—	2	2	no	—
623	C₂²×#41	—	13	1	no	—
624	C₂²×#41	—	13	1	no	—
625	C₂×#131	—	13	1	no	—
626	C₂×#131	—	13	1	no	—
627	C₂×#131	—	13	1	no	—
628	C₂×#131	—	13	1	no	—
629	C₂²×M₁₆	—	13	1	no	—
630	C₂²×M₁₆	—	13	1	no	—
631	C₂²×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
632	C₂³×C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
633	#550	—	13	1	no	—
634	D₄×Q₈	—	13	1	no	—
635	#548	—	13	1	no	—
636	#548	—	13	1	no	—
637	#547	—	13	1	no	—
638	#547	—	13	2	no	—
639	#546	—	13	1	no	—
640	#546	—	13	1	no	—
641	#546	—	13	2	no	—
642	#546	—	13	2	no	—
643	D₄²	—	13	2	no	—
644	D₄²	—	13	1	no	—
645	#532	—	13	2	no	—
646	#532	—	13	1	no	—
647	#525	—	13	1	no	—
648	#525	—	13	1	no	—
649	#525	—	13	2	no	—
650	#525	—	13	2	no	—
651	C₄×#41	—	13	1	no	—
652	C₂×C₄×D₄	—	13	2	no	—
653	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
654	#436	—	13	2	no	—
655	#436	—	13	2	no	—
656	#436	—	13	2	no	—
657	#436	—	13	2	no	—
658	#436	—	13	2	no	—
659	#436	—	13	2	no	—
660	#435	—	13	2	no	—
661	#435	—	13	2	no	—
662	#435	—	13	2	no	—
663	#435	—	13	2	no	—
664	#435	—	13	2	no	—
665	#435	—	13	2	no	—
666	#435	—	13	2	no	—
667	#435	—	13	2	no	—
668	#435	—	13	2	no	—
669	#435	—	13	2	no	—
670	#435	—	13	2	no	—
671	#435	—	13	2	no	—
672	#435	—	13	2	no	—
673	#435	—	13	2	no	—
674	#435	—	13	2	no	—
675	#435	—	13	2	no	—
676	#435	C₂×D₁₃	1	1	yes	characteristic
677	#435	C₂×D₁₃	1	1	yes	characteristic
678	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
679	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
680	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
681	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
682	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
683	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
684	C₈×D₄	—	13	2	no	—
685	C₈×D₄	—	13	2	no	—
686	C₈×D₄	—	13	2	no	—
687	C₈×D₄	—	13	2	no	—
688	C₈×D₄	—	13	2	no	—
689	C₈×D₄	—	13	2	no	—
690	#433	—	13	2	no	—
691	#433	—	13	2	no	—
692	#433	—	13	2	no	—
693	#433	—	13	2	no	—
694	#432	—	13	2	no	—
695	#432	—	13	2	no	—
696	#432	—	13	2	no	—
697	#431	—	13	2	no	—
698	#424	—	13	1	no	—
699	#424	—	13	1	no	—
700	#423	—	13	1	no	—
701	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
702	#408	—	13	2	no	—
703	#408	—	13	2	no	—
704	#408	—	13	1	no	—
705	#408	—	13	1	no	—
706	#408	—	13	1	no	—
707	#408	—	13	1	no	—
708	#408	—	13	2	no	—
709	#408	—	13	2	no	—
710	#408	—	13	1	no	—
711	#408	—	13	1	no	—
712	#408	—	13	1	no	—
713	#408	—	13	1	no	—
714	#408	—	13	2	no	—
715	#408	—	13	2	no	—
716	#408	—	13	2	no	—
717	#408	—	13	2	no	—
718	#407	—	13	1	no	—
719	#407	—	13	1	no	—
720	#407	—	13	2	no	—
721	#407	—	13	2	no	—
722	#407	—	13	2	no	—
723	#407	—	13	2	no	—
724	C₂×C₂²⋊C₈	—	13	2	no	—
725	C₂×C₂²⋊C₈	—	13	2	no	—
726	C₂×C₂²⋊C₈	—	13	2	no	—
727	C₂×C₂²⋊C₈	—	13	2	no	—
728	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
729	C₂×C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
730	#405	—	13	1	no	—
731	#405	—	13	1	no	—
732	C₄×M₁₆	—	13	1	no	—
733	C₂×#97	C₂×D₁₃	1	1	yes	characteristic, complemented
734	C₂²×C₁₃	—	2	1	no	—
735	C₂²×C₁₃	—	2	1	no	—
736	C₂²×C₁₃	—	2	1	no	—
737	C₂²×C₁₃	—	2	1	no	—
738	C₂²×C₁₃	—	2	1	no	—
739	C₂²×C₁₃	—	2	1	no	—
740	C₂²×C₁₃	—	2	1	no	—
741	C₂²×C₁₃	—	2	1	no	—
742	C₂²×C₁₃	—	2	1	no	—
743	C₂²×C₁₃	—	2	1	no	—
744	C₂²×C₁₃	—	2	1	no	—
745	C₂²×C₁₃	—	2	1	no	—
746	C₂²×C₁₃	—	2	1	no	—
747	C₂²×C₁₃	—	4	4	no	—
748	C₂²×C₁₃	—	8	2	no	—
749	C₂²×C₁₃	#518	1	2	yes	—
750	C₂²×C₁₃	#568	1	2	yes	—
751	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
752	C₂×D₁₃	—	2	2	no	—
753	C₂×D₁₃	—	2	2	no	—
754	C₂×D₁₃	—	2	2	no	—
755	C₂×D₁₃	—	2	2	no	—
756	C₂×D₁₃	—	2	2	no	—
757	C₂×D₁₃	—	2	2	no	—
758	C₂×D₁₃	—	2	2	no	—
759	C₂×D₁₃	—	2	2	no	—
760	C₂×D₁₃	—	2	2	no	—
761	C₂×D₁₃	—	8	4	no	—
762	C₂×D₁₃	—	8	4	no	—
763	C₄×C₁₃	—	2	1	no	—
764	C₄×C₁₃	—	2	1	no	—
765	C₄×C₁₃	—	2	1	no	—
766	C₄×C₁₃	—	2	1	no	—
767	C₄×C₁₃	—	2	1	no	—
768	C₄×C₁₃	—	2	1	no	—
769	C₄×C₁₃	—	2	1	no	—
770	C₄×C₁₃	—	2	1	no	—
771	C₄×C₁₃	#518	1	2	yes	—
772	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
773	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
774	Dic₁₃	—	2	2	no	—
775	Dic₁₃	—	2	2	no	—
776	Dic₁₃	—	2	2	no	—
777	Dic₁₃	—	2	2	no	—
778	Dic₁₃	—	2	2	no	—
779	C₂×#41	—	13	1	no	—
780	C₂×#41	—	13	1	no	—
781	C₂×#41	—	13	2	no	—
782	C₂×#41	—	13	2	no	—
783	C₂×#41	—	13	1	no	—
784	C₂×#41	—	13	1	no	—
785	C₂×#41	—	13	1	no	—
786	C₂×#41	—	13	1	no	—
787	C₂×#41	—	13	1	no	—
788	C₂×#41	—	13	2	no	—
789	C₂×#41	—	13	2	no	—
790	C₂×#41	—	52	2	no	—
791	C₂×#41	—	52	2	no	—
792	C₂×#41	—	52	2	no	—
793	C₂×#41	—	52	2	no	—
794	C₂²×Q₈	—	13	1	no	—
795	C₂²×Q₈	—	13	1	no	—
796	C₂²×D₄	—	13	2	no	—
797	C₂²×D₄	—	13	2	no	—
798	C₂²×D₄	—	13	2	no	—
799	C₂²×D₄	—	13	1	no	—
800	C₂²×D₄	—	13	1	no	—
801	C₂²×D₄	C₄×D₁₃	1	1	yes	characteristic
802	C₂³×C₄	—	13	2	no	—
803	C₂³×C₄	—	13	2	no	—
804	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
805	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
806	#131	—	52	2	no	—
807	#131	—	52	2	no	—
808	#131	—	52	2	no	—
809	#131	—	52	2	no	—
810	C₂×M₁₆	—	4	2	no	—
811	C₂×M₁₆	—	13	1	no	—
812	C₂×M₁₆	—	13	1	no	—
813	C₂×M₁₆	—	13	1	no	—
814	C₂×M₁₆	—	13	1	no	—
815	C₂×M₁₆	—	13	2	no	—
816	C₂×M₁₆	—	13	2	no	—
817	C₂×M₁₆	—	13	2	no	—
818	C₂×M₁₆	—	13	2	no	—
819	C₂×M₁₆	—	13	2	no	—
820	C₂×M₁₆	—	13	2	no	—
821	C₂×M₁₆	—	52	2	no	—
822	C₂×M₁₆	—	52	2	no	—
823	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
824	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
825	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
826	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
827	C₂²×C₈	—	4	2	no	—
828	C₂²×C₈	—	13	2	no	—
829	C₂²×C₈	—	13	2	no	—
830	C₂²×C₈	—	13	2	no	—
831	C₂²×C₈	—	13	2	no	—
832	C₂²×C₈	—	13	2	no	—
833	C₂²×C₈	—	13	2	no	—
834	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
835	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
836	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
837	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
838	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
839	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
840	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
841	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
842	C₄⋊Q₈	—	13	2	no	—
843	C₄⋊Q₈	—	13	1	no	—
844	#127	—	13	2	no	—
845	#127	—	13	1	no	—
846	#124	—	13	2	no	—
847	#124	—	13	2	no	—
848	#124	—	13	1	no	—
849	#124	—	13	1	no	—
850	#123	—	13	2	no	—
851	#123	—	13	2	no	—
852	#123	—	13	2	no	—
853	#123	—	13	2	no	—
854	#123	—	13	2	no	—
855	#123	—	13	2	no	—
856	C₂²⋊Q₈	—	13	1	no	—
857	C₂²⋊Q₈	—	13	1	no	—
858	C₂²⋊Q₈	—	13	1	no	—
859	C₂²⋊Q₈	—	13	1	no	—
860	C₂²⋊Q₈	—	13	2	no	—
861	C₂²⋊Q₈	—	13	2	no	—
862	C₂²⋊Q₈	—	13	2	no	—
863	C₂²⋊Q₈	—	13	2	no	—
864	#121	—	13	2	no	—
865	#121	—	13	2	no	—
866	#121	—	13	2	no	—
867	#121	—	13	1	no	—
868	#121	—	13	1	no	—
869	#121	—	13	1	no	—
870	#121	—	13	1	no	—
871	#121	—	13	2	no	—
872	#121	—	13	2	no	—
873	#121	—	13	2	no	—
874	#121	—	13	2	no	—
875	#121	—	13	2	no	—
876	#121	—	13	2	no	—
877	#121	—	13	2	no	—
878	#120	—	13	2	no	—
879	#120	—	13	2	no	—
880	#120	—	13	2	no	—
881	#120	—	13	2	no	—
882	#120	—	13	2	no	—
883	#120	—	13	2	no	—
884	C₄×Q₈	—	13	1	no	—
885	C₄×Q₈	—	13	1	no	—
886	C₄×D₄	—	13	2	no	—
887	C₄×D₄	—	13	2	no	—
888	C₄×D₄	—	13	2	no	—
889	C₄×D₄	—	13	2	no	—
890	C₄×D₄	—	13	2	no	—
891	C₄×D₄	—	13	2	no	—
892	C₄×D₄	—	13	2	no	—
893	C₄×D₄	—	13	2	no	—
894	C₄×D₄	—	13	2	no	—
895	C₄×D₄	—	13	2	no	—
896	C₄×D₄	—	13	1	no	—
897	C₄×D₄	—	13	1	no	—
898	C₄×D₄	—	13	2	no	—
899	C₄×D₄	—	13	2	no	—
900	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
901	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
902	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
903	C₄×D₄	C₄×D₁₃	1	1	yes	characteristic
904	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
905	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
906	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
907	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
908	#117	—	13	1	no	—
909	#117	—	13	2	no	—
910	C₂×C₄⋊C₄	—	13	2	no	—
911	C₂×C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	—	13	2	no	—
913	C₂×C₂²⋊C₄	—	13	2	no	—
914	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
915	C₂×C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
916	C₂×C₄²	—	13	2	no	—
917	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
918	C₄⋊C₈	—	13	2	no	—
919	C₄⋊C₈	—	13	2	no	—
920	C₄⋊C₈	—	13	2	no	—
921	C₄⋊C₈	—	13	2	no	—
922	C₄⋊C₈	—	13	2	no	—
923	C₄⋊C₈	—	13	2	no	—
924	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
925	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
926	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
927	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
928	C₂²⋊C₈	—	13	2	no	—
929	C₂²⋊C₈	—	13	2	no	—
930	C₂²⋊C₈	—	13	2	no	—
931	C₂²⋊C₈	—	13	2	no	—
932	C₂²⋊C₈	—	13	2	no	—
933	C₂²⋊C₈	—	13	2	no	—
934	C₂²⋊C₈	—	13	2	no	—
935	C₂²⋊C₈	—	13	2	no	—
936	C₂²⋊C₈	—	13	2	no	—
937	C₂²⋊C₈	—	13	2	no	—
938	C₂²⋊C₈	—	13	2	no	—
939	C₂²⋊C₈	—	13	2	no	—
940	C₂²⋊C₈	—	13	2	no	—
941	C₂²⋊C₈	—	13	2	no	—
942	C₂²⋊C₈	—	13	2	no	—
943	C₂²⋊C₈	—	13	2	no	—
944	C₂²⋊C₈	—	13	2	no	—
945	C₂²⋊C₈	—	13	2	no	—
946	C₂²⋊C₈	—	13	2	no	—
947	C₂²⋊C₈	—	13	2	no	—
948	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
949	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
950	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
951	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
952	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
953	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
954	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
955	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
956	#97	—	13	2	no	—
957	#97	—	13	2	no	—
958	#97	—	13	2	no	—
959	#97	C₂²×D₁₃	1	1	yes	characteristic
960	#97	C₂²×D₁₃	1	1	yes	characteristic
961	#97	C₂²×D₁₃	1	1	yes	characteristic
962	#97	C₂²×D₁₃	1	1	yes	characteristic
963	C₄×C₈	—	13	2	no	—
964	C₄×C₈	—	13	2	no	—
965	C₄×C₈	—	13	2	no	—
966	C₂×C₁₃	—	2	2	no	—
967	C₂×C₁₃	—	2	2	no	—
968	C₂×C₁₃	—	4	1	no	—
969	C₂×C₁₃	—	4	1	no	—
970	C₂×C₁₃	—	4	1	no	—
971	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
972	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
973	C₂×C₁₃	#3573	1	1	yes	characteristic
974	D₁₃	—	4	2	no	—
975	D₁₃	—	4	2	no	—
976	D₁₃	—	4	2	no	—
977	C₂⁴	—	13	2	no	—
978	C₂⁴	—	13	2	no	—
979	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
980	C₂⁴	C₂×C₄×D₁₃	1	1	yes	characteristic
981	#41	—	26	2	no	—
982	#41	—	26	2	no	—
983	#41	—	26	2	no	—
984	#41	—	26	2	no	—
985	#41	—	26	2	no	—
986	#41	—	26	2	no	—
987	#41	—	52	2	no	—
988	#41	—	52	2	no	—
989	#41	—	52	2	no	—
990	#41	—	52	2	no	—
991	#41	—	52	4	no	—
992	#41	—	52	4	no	—
993	#41	—	52	2	no	—
994	#41	—	52	2	no	—
995	#41	—	52	2	no	—
996	#41	—	52	2	no	—
997	C₂×Q₈	—	13	1	no	—
998	C₂×Q₈	—	13	1	no	—
999	C₂×Q₈	—	13	1	no	—
1000	C₂×Q₈	—	13	2	no	—
1001	C₂×Q₈	—	13	2	no	—
1002	C₂×Q₈	—	52	2	no	—
1003	C₂×Q₈	—	52	2	no	—
1004	C₂×D₄	—	4	2	no	—
1005	C₂×D₄	—	13	2	no	—
1006	C₂×D₄	—	13	2	no	—
1007	C₂×D₄	—	13	2	no	—
1008	C₂×D₄	—	13	2	no	—
1009	C₂×D₄	—	13	2	no	—
1010	C₂×D₄	—	13	2	no	—
1011	C₂×D₄	—	13	2	no	—
1012	C₂×D₄	—	13	2	no	—
1013	C₂×D₄	—	13	2	no	—
1014	C₂×D₄	—	13	2	no	—
1015	C₂×D₄	—	13	2	no	—
1016	C₂×D₄	—	13	1	no	—
1017	C₂×D₄	—	13	1	no	—
1018	C₂×D₄	—	13	1	no	—
1019	C₂×D₄	—	13	2	no	—
1020	C₂×D₄	—	13	2	no	—
1021	C₂×D₄	—	13	2	no	—
1022	C₂×D₄	—	13	2	no	—
1023	C₂×D₄	—	52	2	no	—
1024	C₂×D₄	—	52	2	no	—
1025	C₂×D₄	—	52	4	no	—
1026	C₂×D₄	—	52	4	no	—
1027	C₂×D₄	—	52	4	no	—
1028	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1029	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1030	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1031	C₂×D₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	13	2	no	—
1037	C₂²×C₄	—	13	2	no	—
1038	C₂²×C₄	—	13	2	no	—
1039	C₂²×C₄	—	13	2	no	—
1040	C₂²×C₄	—	13	2	no	—
1041	C₂²×C₄	—	13	2	no	—
1042	C₂²×C₄	—	13	2	no	—
1043	C₂²×C₄	—	13	2	no	—
1044	C₂²×C₄	—	13	2	no	—
1045	C₂²×C₄	—	13	2	no	—
1046	C₂²×C₄	—	13	2	no	—
1047	C₂²×C₄	—	52	2	no	—
1048	C₂²×C₄	—	52	2	no	—
1049	C₂²×C₄	—	52	2	no	—
1050	C₂²×C₄	—	52	2	no	—
1051	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1064	M₁₆	—	4	1	no	—
1065	M₁₆	—	4	1	no	—
1066	M₁₆	—	4	1	no	—
1067	M₁₆	—	4	1	no	—
1068	M₁₆	—	26	2	no	—
1069	M₁₆	—	26	2	no	—
1070	M₁₆	—	26	2	no	—
1071	M₁₆	—	26	2	no	—
1072	M₁₆	—	52	2	no	—
1073	M₁₆	—	52	2	no	—
1074	M₁₆	—	52	2	no	—
1075	M₁₆	—	52	2	no	—
1076	M₁₆	—	52	2	no	—
1077	M₁₆	—	52	2	no	—
1078	C₂×C₈	—	2	2	no	—
1079	C₂×C₈	—	2	2	no	—
1080	C₂×C₈	—	2	2	no	—
1081	C₂×C₈	—	2	2	no	—
1082	C₂×C₈	—	4	1	no	—
1083	C₂×C₈	—	4	1	no	—
1084	C₂×C₈	—	4	1	no	—
1085	C₂×C₈	—	4	1	no	—
1086	C₂×C₈	—	13	2	no	—
1087	C₂×C₈	—	13	2	no	—
1088	C₂×C₈	—	13	2	no	—
1089	C₂×C₈	—	13	2	no	—
1090	C₂×C₈	—	52	2	no	—
1091	C₂×C₈	—	52	2	no	—
1092	C₂×C₈	—	52	2	no	—
1093	C₂×C₈	—	52	2	no	—
1094	C₂×C₈	—	52	2	no	—
1095	C₂×C₈	—	52	2	no	—
1096	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1097	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1098	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1099	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1100	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1101	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1102	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1103	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1104	C₄⋊C₄	—	13	2	no	—
1105	C₄⋊C₄	—	13	2	no	—
1106	C₄⋊C₄	—	13	2	no	—
1107	C₄⋊C₄	—	13	2	no	—
1108	C₄⋊C₄	—	13	2	no	—
1109	C₄⋊C₄	—	13	1	no	—
1110	C₄⋊C₄	—	13	1	no	—
1111	C₄⋊C₄	—	13	2	no	—
1112	C₄⋊C₄	—	13	2	no	—
1113	C₄⋊C₄	—	13	2	no	—
1114	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1115	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1116	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1117	C₄⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1118	C₂²⋊C₄	—	13	2	no	—
1119	C₂²⋊C₄	—	13	2	no	—
1120	C₂²⋊C₄	—	13	2	no	—
1121	C₂²⋊C₄	—	13	2	no	—
1122	C₂²⋊C₄	—	13	2	no	—
1123	C₂²⋊C₄	—	13	2	no	—
1124	C₂²⋊C₄	—	13	2	no	—
1125	C₂²⋊C₄	—	13	2	no	—
1126	C₂²⋊C₄	—	13	2	no	—
1127	C₂²⋊C₄	—	13	2	no	—
1128	C₂²⋊C₄	—	13	2	no	—
1129	C₂²⋊C₄	—	13	2	no	—
1130	C₂²⋊C₄	—	13	2	no	—
1131	C₂²⋊C₄	—	13	2	no	—
1132	C₂²⋊C₄	—	13	2	no	—
1133	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1134	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1135	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1136	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1137	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1138	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1139	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1140	C₂²⋊C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
1141	C₄²	—	13	2	no	—
1142	C₄²	—	13	2	no	—
1143	C₄²	—	13	2	no	—
1144	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1145	C₄²	C₂×C₄×D₁₃	1	1	yes	characteristic
1146	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1147	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1148	C₁₃	#60240	1	1	yes	characteristic, complemented, Sylow
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	4	1	no	—
1153	C₂³	—	4	1	no	—
1154	C₂³	—	4	1	no	—
1155	C₂³	—	13	2	no	—
1156	C₂³	—	13	2	no	—
1157	C₂³	—	13	2	no	—
1158	C₂³	—	26	4	no	—
1159	C₂³	—	52	2	no	—
1160	C₂³	—	52	2	no	—
1161	C₂³	—	52	2	no	—
1162	C₂³	—	52	2	no	—
1163	C₂³	—	52	2	no	—
1164	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1165	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1166	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1167	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1168	C₂³	C₂²×C₄×D₁₃	1	1	yes	characteristic
1169	Q₈	—	26	2	no	—
1170	Q₈	—	26	2	no	—
1171	Q₈	—	26	2	no	—
1172	Q₈	—	52	2	no	—
1173	Q₈	—	52	2	no	—
1174	D₄	—	2	2	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	4	1	no	—
1177	D₄	—	4	1	no	—
1178	D₄	—	26	4	no	—
1179	D₄	—	26	4	no	—
1180	D₄	—	26	4	no	—
1181	D₄	—	26	4	no	—
1182	D₄	—	26	2	no	—
1183	D₄	—	26	2	no	—
1184	D₄	—	26	2	no	—
1185	D₄	—	52	2	no	—
1186	D₄	—	52	2	no	—
1187	D₄	—	52	2	no	—
1188	D₄	—	52	2	no	—
1189	D₄	—	52	2	no	—
1190	D₄	—	52	2	no	—
1191	D₄	—	52	2	no	—
1192	D₄	—	52	2	no	—
1193	D₄	—	52	2	no	—
1194	D₄	—	52	2	no	—
1195	D₄	—	52	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	4	1	no	—
1211	C₂×C₄	—	4	1	no	—
1212	C₂×C₄	—	13	2	no	—
1213	C₂×C₄	—	13	2	no	—
1214	C₂×C₄	—	13	2	no	—
1215	C₂×C₄	—	13	2	no	—
1216	C₂×C₄	—	13	2	no	—
1217	C₂×C₄	—	26	2	no	—
1218	C₂×C₄	—	26	2	no	—
1219	C₂×C₄	—	26	2	no	—
1220	C₂×C₄	—	26	2	no	—
1221	C₂×C₄	—	26	2	no	—
1222	C₂×C₄	—	26	2	no	—
1223	C₂×C₄	—	52	2	no	—
1224	C₂×C₄	—	52	2	no	—
1225	C₂×C₄	—	52	2	no	—
1226	C₂×C₄	—	52	2	no	—
1227	C₂×C₄	—	52	2	no	—
1228	C₂×C₄	—	52	2	no	—
1229	C₂×C₄	—	52	2	no	—
1230	C₂×C₄	—	52	2	no	—
1231	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1232	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1233	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1234	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1235	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1236	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1237	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1238	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1239	C₂×C₄	C₂²×C₄×D₁₃	1	1	yes	characteristic
1240	C₂×C₄	#88251	1	2	yes	—
1241	C₂×C₄	#88256	1	2	yes	—
1242	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1243	C₈	—	2	1	no	—
1244	C₈	—	2	1	no	—
1245	C₈	—	2	1	no	—
1246	C₈	—	2	1	no	—
1247	C₈	—	2	1	no	—
1248	C₈	—	2	1	no	—
1249	C₈	—	2	1	no	—
1250	C₈	—	2	1	no	—
1251	C₈	—	26	2	no	—
1252	C₈	—	26	2	no	—
1253	C₈	—	26	2	no	—
1254	C₈	—	26	2	no	—
1255	C₂²	—	2	1	no	—
1256	C₂²	—	2	1	no	—
1257	C₂²	—	2	1	no	—
1258	C₂²	—	2	1	no	—
1259	C₂²	—	2	1	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	4	4	no	—
1269	C₂²	—	8	2	no	—
1270	C₂²	—	26	2	no	—
1271	C₂²	—	26	2	no	—
1272	C₂²	—	26	2	no	—
1273	C₂²	—	26	2	no	—
1274	C₂²	—	26	2	no	—
1275	C₂²	—	26	2	no	—
1276	C₂²	—	26	2	no	—
1277	C₂²	—	26	2	no	—
1278	C₂²	—	26	2	no	—
1279	C₂²	—	104	4	no	—
1280	C₂²	—	104	4	no	—
1281	C₂²	#11719250	1	2	yes	—
1282	C₂²	#11719450	1	2	yes	—
1283	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	2	1	no	—
1291	C₄	—	2	1	no	—
1292	C₄	—	26	2	no	—
1293	C₄	—	26	2	no	—
1294	C₄	—	26	2	no	—
1295	C₄	—	26	2	no	—
1296	C₄	—	26	2	no	—
1297	C₄	#11719250	1	2	yes	—
1298	C₄	C₂×#88251	1	1	yes	characteristic
1299	C₄	C₂×#88256	1	1	yes	characteristic
1300	C₂	—	2	2	no	—
1301	C₂	—	2	2	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	4	1	no	—
1305	C₂	—	52	2	no	—
1306	C₂	—	52	2	no	—
1307	C₂	—	52	2	no	—
1308	C₂	C₂×#11719250	1	1	yes	characteristic
1309	C₂	C₂×#11719450	1	1	yes	characteristic
1310	C₂	#13129547	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₂×C₁₃×#435	C₂
prime radical	D₄×#6127	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	C₂×#435	D₁₃
hypocenter	C₁₃	#60240
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#435

Complements

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

N	H ≅ G/N	type
2. #13123908	C₂	semidirect
3. #13123904	C₂	semidirect
4. #13123895	C₂	semidirect
5. #13123887	C₂	semidirect
6. #13123885	C₂	semidirect
7. #13123883	C₂	semidirect
8. #13123866	C₂	semidirect
9. #13123861	C₂	semidirect
10. #13123579	C₂	semidirect
11. D₄×#6099	C₂	semidirect
12. #13123557	C₂	semidirect
13. #13123557	C₂	semidirect
14. #13123555	C₂	semidirect
15. #13123539	C₂	semidirect
16. #13123530	C₂	semidirect
17. #13123501	C₂	semidirect
18. #13123485	C₂	semidirect
19. #13123282	C₂	semidirect
20. #13123282	C₂	semidirect
21. #13123280	C₂	semidirect
22. C₂×#11718771	C₂	semidirect
23. C₂×C₁₃×#435	C₂	semidirect
26. C₂²×C₁₃×M₁₆	C₂²	semidirect
27. C₂³×C₈×C₁₃	C₂²	semidirect
32. C₂²×#6099	C₂²	semidirect
33. C₂²×#6099	C₂²	semidirect
34. C₂×#88155	C₂²	semidirect
35. C₂×#88155	C₂²	semidirect
36. C₂×#88155	C₂²	semidirect
37. C₂×#88155	C₂²	semidirect
57. C₁₃×#435	C₂²	semidirect
58. C₁₃×#435	C₂²	semidirect
59. C₁₃×#435	C₂²	semidirect
60. C₁₃×#435	C₂²	semidirect
61. C₁₃×#435	C₂²	semidirect
62. C₁₃×#435	C₂²	semidirect
63. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
64. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
65. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
66. C₂×C₁₃×#97	C₂²	semidirect
67. #11718868	C₂²	semidirect
68. #11718868	C₂²	semidirect
69. #11718790	C₂²	semidirect
70. #11718790	C₂²	semidirect
71. #11718789	C₂²	semidirect
72. #11718789	C₂²	semidirect
73. #11718788	C₂²	semidirect
74. #11718788	C₂²	semidirect
75. #11718787	C₂²	semidirect
76. #11718787	C₂²	semidirect
77. #11718772	C₂²	semidirect
78. #11718772	C₂²	semidirect
83. #11718771	C₂²	semidirect
84. #11718771	C₂²	semidirect
85. #11718771	C₂²	semidirect
86. #11718771	C₂²	semidirect
87. #11718771	C₂²	semidirect
88. #11718771	C₂²	semidirect
89. C₈×C₂²⋊D₁₃	C₂²	semidirect
90. C₈×C₂²⋊D₁₃	C₂²	semidirect
91. C₂×#88060	C₂²	semidirect
92. C₂×#88060	C₂²	semidirect
93. #11718763	C₂²	semidirect
94. #11718763	C₂²	semidirect
95. #11718762	C₂²	semidirect
96. #11718762	C₂²	semidirect
97. #11718673	C₂²	semidirect
99. #11718672	C₂²	semidirect
100. D₄×#1055	C₂²	semidirect
101. #11718585	C₂²	semidirect
102. C₄×#6099	C₂²	semidirect
103. #11718501	C₂²	semidirect
104. #11718501	C₂²	semidirect
105. #11718499	C₂²	semidirect
106. #11718497	C₂²	semidirect
107. #11718497	C₂²	semidirect
108. #11718496	C₂²	semidirect
109. #11718495	C₂²	semidirect
110. #11718494	C₂²	semidirect
111. #11718391	C₂²	semidirect
112. #11718391	C₂²	semidirect
113. #11718390	C₂²	semidirect
114. #11718390	C₂²	semidirect
115. #11718389	C₂²	semidirect
116. #11718389	C₂²	semidirect
117. #11718388	C₂²	semidirect
118. #11718388	C₂²	semidirect
119. #11718388	C₂²	semidirect
120. #11718388	C₂²	semidirect
121. #11718387	C₂²	semidirect
122. #11718387	C₂²	semidirect
123. #11718386	C₂²	semidirect
124. #11718386	C₂²	semidirect
125. D₁₃×C₂²⋊C₈	C₂²	semidirect
126. D₁₃×C₂²⋊C₈	C₂²	semidirect
127. #11718370	C₂²	semidirect
128. #11718370	C₂²	semidirect
129. #11718367	C₂²	semidirect
130. #11718367	C₂²	semidirect
131. #11718367	C₂²	semidirect
132. #11718367	C₂²	semidirect
133. #11718366	C₂²	semidirect
134. #11718366	C₂²	semidirect
510. C₂×#435	D₁₃	semidirect
631. C₂²×M₁₆	C₂×D₁₃	semidirect
632. C₂³×C₈	C₂×D₁₃	semidirect
678. #435	C₂×D₁₃	semidirect
679. #435	C₂×D₁₃	semidirect
680. #435	C₂×D₁₃	semidirect
681. #435	C₂×D₁₃	semidirect
682. #435	C₂×D₁₃	semidirect
683. #435	C₂×D₁₃	semidirect
701. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
728. C₂×C₂²⋊C₈	C₂×D₁₃	semidirect
729. C₂×C₂²⋊C₈	C₂×D₁₃	semidirect
733. C₂×#97	C₂×D₁₃	semidirect
1148. C₁₃	#60240	semidirect

Maximal subgroups

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

subgroup	index
D₄×#6127	2
#13123908	2
#13123904	2
#13123895	2
#13123887	2
#13123885	2
#13123883	2
#13123866	2
#13123861	2
#13123579	2
D₄×#6099	2
#13123557	2
#13123555	2
#13123539	2
#13123530	2
#13123501	2
#13123485	2
#13123282	2
#13123280	2
C₂×#11718771	2
C₂×C₁₃×#435	2
#60240	13