Subgroups — #16070946

Order 3328.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123186	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123133	C₂	1	1	yes	maximal, characteristic, complemented
3	#13122742	C₂	1	1	yes	maximal, characteristic, complemented
4	#13122740	C₂	1	1	yes	maximal, characteristic, complemented
5	#13122669	C₂	1	1	yes	maximal, characteristic, complemented
6	#13122663	C₂	1	1	yes	maximal, characteristic, complemented
7	#13122381	C₂	1	1	yes	maximal, characteristic, complemented
8	#13122377	C₂	1	1	yes	maximal, characteristic, complemented
9	#13122208	C₂	1	1	yes	maximal, characteristic, complemented
10	#13122201	C₂	1	1	yes	maximal, characteristic, complemented
11	#13122172	C₂	1	1	yes	maximal, characteristic, complemented
12	#13122167	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121839	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121836	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121585	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121574	C₂	1	1	yes	maximal, characteristic, complemented
17	#13121122	C₂	1	1	yes	maximal, characteristic, complemented
18	#13121117	C₂	1	1	yes	maximal, characteristic, complemented
19	#13120645	C₂	1	1	yes	maximal, characteristic, complemented
20	#13120574	C₂	1	1	yes	maximal, characteristic
21	#13119400	C₂	1	1	yes	maximal, characteristic, complemented
22	#13119392	C₂	1	1	yes	maximal, characteristic, complemented
23	#13118961	C₂	1	1	yes	maximal, characteristic, complemented
24	#13118959	C₂	1	1	yes	maximal, characteristic, complemented
25	#13118647	C₂	1	1	yes	maximal, characteristic, complemented
26	#13118639	C₂	1	1	yes	maximal, characteristic, complemented
27	#13118298	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117567	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117534	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718605	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×#88207	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
39	C₂×#88193	C₂²	1	1	yes	characteristic
40	C₂×#88190	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
42	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#6101	C₂²	1	1	yes	characteristic
44	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
45	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88139	C₂²	1	1	yes	characteristic
48	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88137	C₂²	1	1	yes	characteristic
50	C₂×#88132	C₂²	1	1	yes	characteristic
51	C₂×#88132	C₂²	1	1	yes	characteristic
52	C₂×#88132	C₂²	1	1	yes	characteristic
53	C₁₃×#399	C₂²	1	1	yes	characteristic
54	C₁₃×#397	C₂²	1	1	yes	characteristic
55	C₁₃×#394	C₂²	1	1	yes	characteristic
56	C₁₃×#394	C₂²	1	1	yes	characteristic
57	C₁₃×#388	C₂²	1	1	yes	characteristic
58	C₁₃×#388	C₂²	1	1	yes	characteristic
59	C₁₃×#386	C₂²	1	1	yes	characteristic
60	C₁₃×#386	C₂²	1	1	yes	characteristic
61	C₁₃×#385	C₂²	1	1	yes	characteristic
62	C₁₃×#380	C₂²	1	1	yes	characteristic
63	C₁₃×#379	C₂²	1	1	yes	characteristic
64	#11718908	C₂²	1	1	yes	characteristic
65	#11718884	C₂²	1	1	yes	characteristic
66	#11718884	C₂²	1	1	yes	characteristic
67	#11718883	C₂²	1	1	yes	characteristic
68	#11718883	C₂²	1	1	yes	characteristic
69	#11718883	C₂²	1	1	yes	characteristic
70	#11718883	C₂²	1	1	yes	characteristic
71	#11718882	C₂²	1	1	yes	characteristic
72	#11718881	C₂²	1	1	yes	characteristic
73	#11718881	C₂²	1	1	yes	characteristic
74	#11718881	C₂²	1	1	yes	characteristic
75	#11718874	C₂²	1	1	yes	characteristic
76	#11718874	C₂²	1	1	yes	characteristic, complemented
77	#11718873	C₂²	1	1	yes	characteristic
78	#11718871	C₂²	1	1	yes	characteristic
79	#11718871	C₂²	1	1	yes	characteristic, complemented
80	#11718871	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88071	C₂²	1	1	yes	characteristic
82	C₂×#88071	C₂²	1	1	yes	characteristic
83	#11718654	C₂²	1	1	yes	characteristic, complemented
84	#11718653	C₂²	1	1	yes	characteristic, complemented
85	#11718651	C₂²	1	1	yes	characteristic, complemented
86	#11718650	C₂²	1	1	yes	characteristic, complemented
87	#11718647	C₂²	1	1	yes	characteristic, complemented
88	#11718646	C₂²	1	1	yes	characteristic, complemented
89	#11718645	C₂²	1	1	yes	characteristic, complemented
90	#11718642	C₂²	1	1	yes	characteristic, complemented
91	#11718640	C₂²	1	1	yes	characteristic, complemented
92	#11718640	C₂²	1	1	yes	characteristic, complemented
93	#11718639	C₂²	1	1	yes	characteristic, complemented
94	#11718639	C₂²	1	1	yes	characteristic, complemented
95	#11718637	C₂²	1	1	yes	characteristic, complemented
96	#11718635	C₂²	1	1	yes	characteristic, complemented
97	#11718634	C₂²	1	1	yes	characteristic, complemented
98	#11718634	C₂²	1	1	yes	characteristic, complemented
99	#11718633	C₂²	1	1	yes	characteristic, complemented
100	#11718633	C₂²	1	1	yes	characteristic, complemented
101	#11718622	C₂²	1	1	yes	characteristic
102	#11718622	C₂²	1	1	yes	characteristic
103	#11718620	C₂²	1	1	yes	characteristic
104	#11718620	C₂²	1	1	yes	characteristic
105	#11718620	C₂²	1	1	yes	characteristic
106	#11718620	C₂²	1	1	yes	characteristic
107	#11718619	C₂²	1	1	yes	characteristic
108	#11718619	C₂²	1	1	yes	characteristic
109	#11718619	C₂²	1	1	yes	characteristic
110	#11718618	C₂²	1	1	yes	characteristic
111	#11718618	C₂²	1	1	yes	characteristic, complemented
112	#11718617	C₂²	1	1	yes	characteristic
113	#11718617	C₂²	1	1	yes	characteristic, complemented
114	#11718614	C₂²	1	1	yes	characteristic
115	#11718614	C₂²	1	1	yes	characteristic, complemented
116	#11718613	C₂²	1	1	yes	characteristic
117	#11718613	C₂²	1	1	yes	characteristic
118	#11718613	C₂²	1	1	yes	characteristic
119	#11718613	C₂²	1	1	yes	characteristic
120	#11718613	C₂²	1	1	yes	characteristic, complemented
121	#11718612	C₂²	1	1	yes	characteristic
122	#11718612	C₂²	1	1	yes	characteristic
123	#11718612	C₂²	1	1	yes	characteristic, complemented
124	#11718612	C₂²	1	1	yes	characteristic, complemented
125	#11718611	C₂²	1	1	yes	characteristic
126	#11718610	C₂²	1	1	yes	characteristic
127	#11718610	C₂²	1	1	yes	characteristic
128	#11718610	C₂²	1	1	yes	characteristic
129	#11718610	C₂²	1	1	yes	characteristic, complemented
130	#11718609	C₂²	1	1	yes	characteristic
131	#11718609	C₂²	1	1	yes	characteristic
132	#11718609	C₂²	1	1	yes	characteristic
133	#11718609	C₂²	1	1	yes	characteristic
134	#11718609	C₂²	1	1	yes	characteristic, complemented
135	#11718608	C₂²	1	1	yes	characteristic
136	#11718608	C₂²	1	1	yes	characteristic
137	#11718608	C₂²	1	1	yes	characteristic
138	#11718608	C₂²	1	1	yes	characteristic
139	#11718607	C₂²	1	1	yes	characteristic
140	#11718606	C₂²	1	1	yes	characteristic
141	#11718606	C₂²	1	1	yes	characteristic
142	#11718606	C₂²	1	1	yes	characteristic
143	#11718606	C₂²	1	1	yes	characteristic, complemented
144	#11718605	C₂²	1	1	yes	characteristic
145	#11718605	C₂²	1	1	yes	characteristic
146	#11718605	C₂²	1	1	yes	characteristic
147	#11718605	C₂²	1	1	yes	characteristic
148	#11718605	C₂²	1	1	yes	characteristic
149	#11718605	C₂²	1	1	yes	characteristic
150	#11718605	C₂²	1	1	yes	characteristic
151	#11718605	C₂²	1	1	yes	characteristic
152	#11718605	C₂²	1	1	yes	characteristic
153	#11718605	C₂²	1	1	yes	characteristic, complemented
154	#11718605	C₂²	1	1	yes	characteristic, complemented
155	#11718603	C₂²	1	1	yes	characteristic
156	#11718603	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
159	#11718601	C₂²	1	1	yes	characteristic, complemented
160	#11718594	C₂²	1	1	yes	characteristic, complemented
161	#11718594	C₂²	1	1	yes	characteristic, complemented
162	#11718589	C₂²	1	1	yes	characteristic, complemented
163	#11718337	C₂²	1	1	yes	characteristic, complemented
164	#11718335	C₂²	1	1	yes	characteristic, complemented
165	#11718331	C₂²	1	1	yes	characteristic, complemented
166	#11718331	C₂²	1	1	yes	characteristic, complemented
167	#11718330	C₂²	1	1	yes	characteristic, complemented
168	#11718329	C₂²	1	1	yes	characteristic, complemented
169	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
170	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
171	#11718321	C₂²	1	1	yes	characteristic, complemented
172	#11718318	C₂²	1	1	yes	characteristic, complemented
173	#11718314	C₂²	1	1	yes	characteristic, complemented
174	#11718314	C₂²	1	1	yes	characteristic, complemented
175	#11718313	C₂²	1	1	yes	characteristic, complemented
176	#11718313	C₂²	1	1	yes	characteristic, complemented
177	#11718313	C₂²	1	1	yes	characteristic, complemented
178	#11718312	C₂²	1	1	yes	characteristic, complemented
179	#11718312	C₂²	1	1	yes	characteristic, complemented
180	#11718311	C₂²	1	1	yes	characteristic, complemented
181	#11718308	C₂²	1	1	yes	characteristic, complemented
182	#11718308	C₂²	1	1	yes	characteristic, complemented
183	#11718307	C₂²	1	1	yes	characteristic, complemented
184	#11718307	C₂²	1	1	yes	characteristic, complemented
185	#11718307	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
199	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
200	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
201	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
204	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
205	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
206	C₁₃×#123	—	4	2	no	—
207	C₁₃×#120	—	4	2	no	—
208	C₄×D₄×C₁₃	—	4	2	no	—
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	#88207	—	4	2	no	—
233	C₂×C₂²⋊Dic₁₃	—	2	4	no	—
234	C₂×C₂²⋊Dic₁₃	—	4	2	no	—
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	#88193	—	2	4	no	—
260	#88190	—	4	2	no	—
261	C₄×C₂²⋊D₁₃	—	4	2	no	—
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
279	#88178	—	4	2	no	—
280	C₂×#6101	—	4	2	no	—
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×#6101	C₂³	1	1	yes	characteristic
287	C₂×#6101	C₂³	1	1	yes	characteristic
288	C₂×#6101	C₂³	1	1	yes	characteristic
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	1	yes	characteristic
293	C₂×#6101	C₂³	1	1	yes	characteristic
294	C₂×#6101	C₂³	1	1	yes	characteristic
295	C₂×#6101	C₂³	1	1	yes	characteristic
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	1	yes	characteristic
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×#6101	C₂³	1	1	yes	characteristic
300	C₂×#6101	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	—	4	2	no	—
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	#88150	—	4	2	no	—
312	#88142	—	4	2	no	—
313	#88139	—	4	2	no	—
314	#88139	—	4	2	no	—
315	#88137	—	4	2	no	—
316	#88132	—	2	4	no	—
317	#88132	—	4	2	no	—
318	#88132	—	4	2	no	—
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#36766	—	13	1	no	maximal, Sylow
364	C₂⁴×C₁₃	—	2	2	no	—
365	C₂⁴×C₁₃	—	2	2	no	—
366	C₂⁴×C₁₃	—	2	2	no	—
367	C₂⁴×C₁₃	—	4	1	no	—
368	C₂⁴×C₁₃	—	4	1	no	—
369	C₂⁴×C₁₃	—	4	1	no	—
370	C₂⁴×C₁₃	—	4	1	no	—
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	4	1	no	—
380	C₂×D₄×C₁₃	—	4	1	no	—
381	C₂×D₄×C₁₃	—	4	1	no	—
382	C₂×D₄×C₁₃	—	4	1	no	—
383	C₂×D₄×C₁₃	—	4	1	no	—
384	C₂×D₄×C₁₃	—	4	1	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	4	1	no	—
389	C₂²×C₄×C₁₃	—	4	1	no	—
390	C₂²×C₄×C₁₃	—	4	1	no	—
391	C₂²×C₄×C₁₃	—	4	1	no	—
392	C₂²×C₄×C₁₃	—	4	1	no	—
393	C₂²×C₄×C₁₃	—	4	1	no	—
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂×C₂²⋊D₁₃	—	2	2	no	—
406	C₂×C₂²⋊D₁₃	—	2	2	no	—
407	C₂×C₂²⋊D₁₃	—	2	2	no	—
408	C₂×C₂²⋊D₁₃	—	2	2	no	—
409	C₂×C₂²⋊D₁₃	—	4	1	no	—
410	C₂×C₂²⋊D₁₃	—	4	1	no	—
411	C₂×C₂²⋊D₁₃	—	4	1	no	—
412	C₂×C₂²⋊D₁₃	—	4	1	no	—
413	C₂×C₂²⋊D₁₃	—	4	1	no	—
414	C₂×C₂²⋊D₁₃	—	4	1	no	—
415	C₂×C₂²⋊D₁₃	—	4	1	no	—
416	C₂×C₂²⋊D₁₃	—	4	1	no	—
417	C₂²×Dic₁₃	—	2	2	no	—
418	C₂²×Dic₁₃	—	2	2	no	—
419	C₂²×Dic₁₃	—	2	2	no	—
420	C₂²×Dic₁₃	—	2	2	no	—
421	C₂²×Dic₁₃	—	4	1	no	—
422	C₂²×Dic₁₃	—	4	1	no	—
423	C₂²×Dic₁₃	—	4	1	no	—
424	C₂²×Dic₁₃	—	4	1	no	—
425	C₂²×Dic₁₃	—	4	1	no	—
426	C₂²×Dic₁₃	—	4	1	no	—
427	C₂²×Dic₁₃	—	4	1	no	—
428	C₂²×Dic₁₃	#41	1	4	yes	—
429	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂×C₄×D₁₃	—	4	1	no	—
445	C₂×C₄×D₁₃	—	4	1	no	—
446	C₂×C₄×D₁₃	—	4	1	no	—
447	C₂×Dic₂₆	—	2	2	no	—
448	C₂×Dic₂₆	—	2	2	no	—
449	C₂×Dic₂₆	—	2	2	no	—
450	C₂×Dic₂₆	—	4	1	no	—
451	C₂×Dic₂₆	—	4	1	no	—
452	C₂×Dic₂₆	—	4	1	no	—
453	C₂×Dic₂₆	—	4	1	no	—
454	C₂×Dic₂₆	—	4	1	no	—
455	C₂×Dic₂₆	—	4	1	no	—
456	C₁₃×C₄⋊C₄	—	2	2	no	—
457	C₁₃×C₄⋊C₄	—	4	1	no	—
458	C₁₃×C₄⋊C₄	—	4	1	no	—
459	C₁₃×C₄⋊C₄	—	4	1	no	—
460	C₁₃×C₄⋊C₄	—	4	1	no	—
461	C₁₃×C₂²⋊C₄	—	2	2	no	—
462	C₁₃×C₂²⋊C₄	—	2	2	no	—
463	C₁₃×C₂²⋊C₄	—	2	2	no	—
464	C₁₃×C₂²⋊C₄	—	2	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	no	—
467	C₁₃×C₂²⋊C₄	—	4	1	no	—
468	C₁₃×C₂²⋊C₄	—	4	1	no	—
469	C₁₃×C₂²⋊C₄	—	4	1	no	—
470	C₁₃×C₂²⋊C₄	—	4	1	no	—
471	C₁₃×C₂²⋊C₄	—	4	1	no	—
472	C₁₃×C₂²⋊C₄	—	4	1	no	—
473	C₁₃×C₂²⋊C₄	—	4	1	no	—
474	C₁₃×C₂²⋊C₄	—	4	1	no	—
475	C₁₃×C₂²⋊C₄	—	4	1	no	—
476	C₁₃×C₂²⋊C₄	—	4	1	no	—
477	C₄²×C₁₃	—	4	1	no	—
478	C₂²⋊Dic₁₃	—	2	2	no	—
479	C₂²⋊Dic₁₃	—	2	2	no	—
480	C₂²⋊Dic₁₃	—	2	2	no	—
481	C₂²⋊Dic₁₃	—	2	2	no	—
482	C₂²⋊Dic₁₃	—	2	2	no	—
483	C₂²⋊Dic₁₃	—	2	2	no	—
484	C₂²⋊Dic₁₃	—	2	2	no	—
485	C₂²⋊Dic₁₃	—	2	2	no	—
486	C₂²⋊Dic₁₃	—	2	2	no	—
487	C₂²⋊Dic₁₃	—	2	2	no	—
488	C₂²⋊Dic₁₃	—	2	2	no	—
489	C₂²⋊Dic₁₃	—	4	1	no	—
490	C₂²⋊Dic₁₃	—	4	1	no	—
491	C₂²⋊Dic₁₃	—	4	1	no	—
492	C₂²⋊Dic₁₃	—	4	1	no	—
493	C₂²⋊Dic₁₃	—	4	1	no	—
494	C₂²⋊Dic₁₃	—	4	1	no	—
495	C₂²⋊Dic₁₃	—	4	1	no	—
496	C₂²⋊Dic₁₃	—	4	1	no	—
497	C₂²⋊Dic₁₃	—	4	1	no	—
498	C₂²⋊Dic₁₃	—	4	1	no	—
499	C₂²⋊Dic₁₃	—	4	1	no	—
500	C₂²⋊Dic₁₃	—	4	1	no	—
501	C₂²⋊Dic₁₃	—	4	1	no	—
502	#6103	—	2	2	no	—
503	#6103	—	2	2	no	—
504	#6103	—	2	2	no	—
505	#6103	—	4	1	no	—
506	#6103	—	4	1	no	—
507	#6103	—	4	1	no	—
508	#6103	—	4	1	no	—
509	#6103	—	4	1	no	—
510	#6103	—	4	1	no	—
511	#6103	—	4	1	no	—
512	C₄⋊Dic₁₃	—	2	2	no	—
513	C₄⋊Dic₁₃	—	2	2	no	—
514	C₄⋊Dic₁₃	—	4	1	no	—
515	C₄⋊Dic₁₃	—	4	1	no	—
516	C₄⋊Dic₁₃	—	4	1	no	—
517	C₄⋊Dic₁₃	—	4	1	no	—
518	C₄⋊Dic₁₃	—	4	1	no	—
519	#6101	—	2	2	no	—
520	#6101	—	2	2	no	—
521	#6101	—	2	2	no	—
522	#6101	—	2	2	no	—
523	#6101	—	2	2	no	—
524	#6101	—	4	1	no	—
525	#6101	—	4	1	no	—
526	#6101	—	4	1	no	—
527	#6101	—	4	1	no	—
528	#6101	—	4	1	no	—
529	#6101	—	4	1	no	—
530	#6101	—	4	1	no	—
531	#6101	—	4	1	no	—
532	#6101	—	4	1	no	—
533	#6101	—	4	1	no	—
534	#6101	—	4	1	no	—
535	#6101	—	4	1	no	—
536	#6101	—	4	1	no	—
537	#6101	—	4	1	no	—
538	#6101	—	4	1	no	—
539	C₄×Dic₁₃	—	2	2	no	—
540	C₄×Dic₁₃	—	2	2	no	—
541	C₄×Dic₁₃	—	4	1	no	—
542	C₄×Dic₁₃	—	4	1	no	—
543	C₄×Dic₁₃	—	4	1	no	—
544	C₄×Dic₁₃	—	4	1	no	—
545	C₄×Dic₁₃	—	4	1	no	—
546	C₄×Dic₁₃	—	4	1	no	—
547	C₄×Dic₁₃	—	4	1	no	—
548	#2857	—	13	1	no	—
549	#2850	—	13	1	no	—
550	#2801	—	13	1	no	—
551	#2801	—	13	1	no	—
552	#2795	—	13	1	no	—
553	#2795	—	13	1	no	—
554	#2773	—	13	1	no	—
555	#2773	—	13	1	no	—
556	#2759	—	13	1	no	—
557	#2759	—	13	1	no	—
558	#2757	—	13	1	no	—
559	#2757	—	13	1	no	—
560	#2730	—	13	1	no	—
561	#2730	—	13	1	no	—
562	#2710	—	13	1	no	—
563	#2710	—	13	1	no	—
564	#2674	—	13	1	no	—
565	#2674	—	13	1	no	—
566	#2626	—	13	1	no	—
567	#2617	—	13	1	no	—
568	#2510	—	13	1	no	—
569	#2510	—	13	1	no	—
570	#2472	—	13	1	no	—
571	#2472	—	13	1	no	—
572	#2449	—	13	1	no	—
573	#2449	—	13	1	no	—
574	#2418	—	13	1	no	—
575	#2418	D₁₃	1	1	yes	characteristic, complemented
576	#2329	—	13	1	no	—
577	#2325	—	13	1	no	—
578	C₂×#388	—	13	1	no	—
579	C₂³×C₁₃	—	2	1	no	—
580	C₂³×C₁₃	—	2	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	—	2	1	no	—
586	C₂³×C₁₃	—	2	1	no	—
587	C₂³×C₁₃	—	2	1	no	—
588	C₂³×C₁₃	—	2	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	—	2	1	no	—
593	C₂³×C₁₃	—	2	1	no	—
594	C₂³×C₁₃	—	2	1	no	—
595	C₂³×C₁₃	—	2	1	no	—
596	C₂³×C₁₃	—	2	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	—	2	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	—	2	1	no	—
604	C₂³×C₁₃	—	4	4	no	—
605	C₂³×C₁₃	—	4	4	no	—
606	C₂³×C₁₃	—	4	4	no	—
607	C₂³×C₁₃	—	8	2	no	—
608	C₂³×C₁₃	—	8	2	no	—
609	C₂³×C₁₃	—	8	2	no	—
610	C₂³×C₁₃	—	8	2	no	—
611	C₂³×C₁₃	C₂×#41	1	2	yes	—
612	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
613	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
614	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
615	C₂²×D₁₃	—	2	1	no	—
616	C₂²×D₁₃	—	2	1	no	—
617	C₂²×D₁₃	—	2	1	no	—
618	C₂²×D₁₃	—	2	1	no	—
619	C₂²×D₁₃	—	2	1	no	—
620	C₂²×D₁₃	—	2	1	no	—
621	C₂²×D₁₃	—	2	1	no	—
622	D₄×C₁₃	—	4	4	no	—
623	D₄×C₁₃	—	8	2	no	—
624	D₄×C₁₃	—	8	2	no	—
625	C₂×C₄×C₁₃	—	2	1	no	—
626	C₂×C₄×C₁₃	—	2	1	no	—
627	C₂×C₄×C₁₃	—	2	1	no	—
628	C₂×C₄×C₁₃	—	2	1	no	—
629	C₂×C₄×C₁₃	—	2	1	no	—
630	C₂×C₄×C₁₃	—	2	1	no	—
631	C₂×C₄×C₁₃	—	2	1	no	—
632	C₂×C₄×C₁₃	—	2	1	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	4	4	no	—
658	C₂×C₄×C₁₃	—	8	2	no	—
659	C₂×C₄×C₁₃	—	8	2	no	—
660	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
661	C₂²⋊D₁₃	—	4	4	no	—
662	C₂²⋊D₁₃	—	8	2	no	—
663	C₂²⋊D₁₃	—	8	2	no	—
664	C₂²⋊D₁₃	—	8	2	no	—
665	C₂×Dic₁₃	—	2	1	no	—
666	C₂×Dic₁₃	—	2	1	no	—
667	C₂×Dic₁₃	—	2	1	no	—
668	C₂×Dic₁₃	—	2	1	no	—
669	C₂×Dic₁₃	—	2	1	no	—
670	C₂×Dic₁₃	—	2	1	no	—
671	C₂×Dic₁₃	—	2	1	no	—
672	C₂×Dic₁₃	—	2	1	no	—
673	C₂×Dic₁₃	—	2	1	no	—
674	C₂×Dic₁₃	—	2	1	no	—
675	C₂×Dic₁₃	—	2	1	no	—
676	C₂×Dic₁₃	—	2	1	no	—
677	C₂×Dic₁₃	—	2	1	no	—
678	C₂×Dic₁₃	—	2	1	no	—
679	C₂×Dic₁₃	—	2	1	no	—
680	C₂×Dic₁₃	—	2	1	no	—
681	C₂×Dic₁₃	—	2	1	no	—
682	C₂×Dic₁₃	—	2	1	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	2	1	no	—
694	C₂×Dic₁₃	—	2	1	no	—
695	C₂×Dic₁₃	—	2	1	no	—
696	C₂×Dic₁₃	—	2	1	no	—
697	C₂×Dic₁₃	—	2	1	no	—
698	C₂×Dic₁₃	—	2	1	no	—
699	C₂×Dic₁₃	—	2	1	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	—	2	1	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	4	4	no	—
708	C₂×Dic₁₃	—	4	4	no	—
709	C₂×Dic₁₃	—	4	4	no	—
710	C₂×Dic₁₃	—	8	2	no	—
711	C₂×Dic₁₃	C₂×#41	1	2	yes	—
712	C₂×Dic₁₃	C₂×#41	1	2	yes	—
713	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
714	C₄×D₁₃	—	8	2	no	—
715	Dic₂₆	—	8	2	no	—
716	Dic₂₆	—	8	2	no	—
717	Dic₂₆	—	8	2	no	—
718	C₂×C₄⋊Q₈	—	13	1	no	—
719	C₂×#124	—	13	1	no	—
720	C₂×#124	—	13	1	no	—
721	C₂×#124	—	13	1	no	—
722	C₂×#123	—	13	1	no	—
723	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
724	C₂×C₂²⋊Q₈	—	13	1	no	—
725	C₂×C₂²⋊Q₈	—	13	1	no	—
726	C₂×C₂²⋊Q₈	—	13	1	no	—
727	C₂×C₂²⋊Q₈	—	13	1	no	—
728	C₂×C₂²⋊Q₈	—	13	1	no	—
729	C₂×#121	—	13	1	no	—
730	C₂×#120	—	13	1	no	—
731	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
732	C₂×C₄×D₄	—	13	1	no	—
733	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
734	C₂²×C₄⋊C₄	—	13	1	no	—
735	C₂²×C₂²⋊C₄	—	13	1	no	—
736	C₂²×C₂²⋊C₄	—	13	1	no	—
737	C₂²×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
738	C₂²×C₄²	—	13	1	no	—
739	#401	—	13	1	no	—
740	#401	—	13	1	no	—
741	#400	—	13	1	no	—
742	#400	—	13	1	no	—
743	#399	—	13	1	no	—
744	#399	—	13	1	no	—
745	#399	—	13	1	no	—
746	#399	—	13	1	no	—
747	#399	—	13	1	no	—
748	#399	C₂×D₁₃	1	1	yes	characteristic
749	#398	—	13	1	no	—
750	#398	—	13	1	no	—
751	#397	—	13	1	no	—
752	#397	—	13	1	no	—
753	#397	—	13	1	no	—
754	#397	—	13	1	no	—
755	#397	—	13	1	no	—
756	#397	—	13	1	no	—
757	#397	—	13	1	no	—
758	#397	—	13	1	no	—
759	#397	—	13	1	no	—
760	#397	C₂×D₁₃	1	1	yes	characteristic
761	#396	—	13	1	no	—
762	#396	—	13	1	no	—
763	#396	—	13	1	no	—
764	#396	—	13	1	no	—
765	#396	—	13	1	no	—
766	#396	—	13	1	no	—
767	#395	—	13	1	no	—
768	#395	—	13	1	no	—
769	#394	—	13	1	no	—
770	#394	—	13	1	no	—
771	#394	—	13	1	no	—
772	#394	—	13	1	no	—
773	#394	—	13	1	no	—
774	#394	—	13	1	no	—
775	#394	—	13	1	no	—
776	#394	—	13	1	no	—
777	#394	—	13	1	no	—
778	#394	—	13	1	no	—
779	#394	C₂×D₁₃	1	1	yes	characteristic
780	#394	C₂×D₁₃	1	1	yes	characteristic
781	#393	—	13	1	no	—
782	#393	—	13	1	no	—
783	#393	—	13	1	no	—
784	#393	—	13	1	no	—
785	#392	—	13	1	no	—
786	#392	—	13	1	no	—
787	#391	—	13	1	no	—
788	#391	—	13	1	no	—
789	#391	—	13	1	no	—
790	#391	—	13	1	no	—
791	#391	—	13	1	no	—
792	#390	—	13	1	no	—
793	#390	—	13	1	no	—
794	#390	—	13	1	no	—
795	#389	—	13	1	no	—
796	#389	—	13	1	no	—
797	#389	—	13	1	no	—
798	#389	—	13	1	no	—
799	#389	—	13	1	no	—
800	#389	—	13	1	no	—
801	#389	—	13	1	no	—
802	#389	—	13	1	no	—
803	#388	—	13	1	no	—
804	#388	—	13	1	no	—
805	#388	—	13	1	no	—
806	#388	—	13	1	no	—
807	#388	—	13	1	no	—
808	#388	—	13	1	no	—
809	#388	—	13	1	no	—
810	#388	—	13	1	no	—
811	#388	—	13	1	no	—
812	#388	—	13	1	no	—
813	#388	—	13	1	no	—
814	#388	—	13	1	no	—
815	#388	—	13	1	no	—
816	#388	—	13	1	no	—
817	#388	—	13	1	no	—
818	#388	—	13	1	no	—
819	#388	—	13	1	no	—
820	#388	—	13	1	no	—
821	#388	—	13	1	no	—
822	#388	—	13	1	no	—
823	#388	—	13	1	no	—
824	#388	—	13	1	no	—
825	#388	—	13	1	no	—
826	#388	—	13	1	no	—
827	#388	C₂×D₁₃	1	1	yes	characteristic
828	#388	C₂×D₁₃	1	1	yes	characteristic
829	#387	—	13	1	no	—
830	#387	—	13	1	no	—
831	#387	—	13	1	no	—
832	#387	—	13	1	no	—
833	#387	—	13	1	no	—
834	#387	—	13	1	no	—
835	#387	—	13	1	no	—
836	#387	—	13	1	no	—
837	#387	—	13	1	no	—
838	#387	—	13	1	no	—
839	#386	—	13	1	no	—
840	#386	—	13	1	no	—
841	#386	—	13	1	no	—
842	#386	—	13	1	no	—
843	#386	—	13	1	no	—
844	#386	—	13	1	no	—
845	#386	—	13	1	no	—
846	#386	—	13	1	no	—
847	#386	—	13	1	no	—
848	#386	—	13	1	no	—
849	#386	C₂×D₁₃	1	1	yes	characteristic
850	#386	C₂×D₁₃	1	1	yes	characteristic
851	#385	—	13	1	no	—
852	#385	—	13	1	no	—
853	#385	—	13	1	no	—
854	#385	—	13	1	no	—
855	#385	—	13	1	no	—
856	#385	—	13	1	no	—
857	#385	—	13	1	no	—
858	#385	C₂×D₁₃	1	1	yes	characteristic
859	#384	—	13	1	no	—
860	#383	—	13	1	no	—
861	#383	—	13	1	no	—
862	#382	—	13	1	no	—
863	#380	—	13	1	no	—
864	#380	—	13	1	no	—
865	#380	—	13	1	no	—
866	#380	C₂×D₁₃	1	1	yes	characteristic
867	#379	—	13	1	no	—
868	#379	C₂×D₁₃	1	1	yes	characteristic
869	C₄×C₂²⋊C₄	—	13	1	no	—
870	C₄×C₂²⋊C₄	—	13	1	no	—
871	C₂×#95	—	13	1	no	—
872	C₂×#95	—	13	1	no	—
873	C₂²×C₁₃	—	2	2	no	—
874	C₂²×C₁₃	—	2	2	no	—
875	C₂²×C₁₃	—	2	2	no	—
876	C₂²×C₁₃	—	2	2	no	—
877	C₂²×C₁₃	—	2	2	no	—
878	C₂²×C₁₃	—	2	2	no	—
879	C₂²×C₁₃	—	4	1	no	—
880	C₂²×C₁₃	—	4	1	no	—
881	C₂²×C₁₃	—	4	1	no	—
882	C₂²×C₁₃	—	4	1	no	—
883	C₂²×C₁₃	—	4	1	no	—
884	C₂²×C₁₃	—	4	1	no	—
885	C₂²×C₁₃	—	4	1	no	—
886	C₂²×C₁₃	—	4	1	no	—
887	C₂²×C₁₃	—	4	1	no	—
888	C₂²×C₁₃	—	4	1	no	—
889	C₂²×C₁₃	—	4	1	no	—
890	C₂²×C₁₃	—	4	1	no	—
891	C₂²×C₁₃	—	4	1	no	—
892	C₂²×C₁₃	—	4	1	no	—
893	C₂²×C₁₃	—	4	1	no	—
894	C₂²×C₁₃	—	4	1	no	—
895	C₂²×C₁₃	—	4	1	no	—
896	C₂²×C₁₃	—	4	1	no	—
897	C₂²×C₁₃	—	4	1	no	—
898	C₂²×C₁₃	—	4	1	no	—
899	C₂²×C₁₃	—	4	1	no	—
900	C₂²×C₁₃	—	8	8	no	—
901	C₂²×C₁₃	#542	1	4	yes	—
902	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
903	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
904	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
905	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
906	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
907	C₂²×C₁₃	#585	1	1	yes	characteristic
908	C₂²×C₁₃	#585	1	1	yes	characteristic
909	C₂×D₁₃	—	4	1	no	—
910	C₂×D₁₃	—	4	1	no	—
911	C₂×D₁₃	—	4	1	no	—
912	C₂×D₁₃	—	4	1	no	—
913	C₂×D₁₃	—	4	1	no	—
914	C₂×D₁₃	—	4	1	no	—
915	C₂×D₁₃	—	4	1	no	—
916	C₄×C₁₃	—	2	2	no	—
917	C₄×C₁₃	—	4	1	no	—
918	C₄×C₁₃	—	4	1	no	—
919	C₄×C₁₃	—	4	1	no	—
920	C₄×C₁₃	—	4	1	no	—
921	C₄×C₁₃	—	4	1	no	—
922	C₄×C₁₃	—	4	1	no	—
923	C₄×C₁₃	—	4	1	no	—
924	C₄×C₁₃	—	4	1	no	—
925	C₄×C₁₃	—	4	1	no	—
926	C₄×C₁₃	—	4	1	no	—
927	Dic₁₃	—	2	2	no	—
928	Dic₁₃	—	2	2	no	—
929	Dic₁₃	—	2	2	no	—
930	Dic₁₃	—	4	1	no	—
931	Dic₁₃	—	4	1	no	—
932	Dic₁₃	—	4	1	no	—
933	Dic₁₃	—	4	1	no	—
934	Dic₁₃	—	4	1	no	—
935	Dic₁₃	—	4	1	no	—
936	Dic₁₃	—	4	1	no	—
937	Dic₁₃	—	4	1	no	—
938	Dic₁₃	—	4	1	no	—
939	Dic₁₃	—	4	1	no	—
940	Dic₁₃	—	4	1	no	—
941	Dic₁₃	—	4	1	no	—
942	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
943	C₂²×Q₈	—	13	1	no	—
944	C₂²×Q₈	—	13	1	no	—
945	C₂²×Q₈	—	13	1	no	—
946	C₂²×D₄	—	13	1	no	—
947	C₂²×D₄	—	13	1	no	—
948	C₂²×D₄	—	13	1	no	—
949	C₂²×D₄	—	13	1	no	—
950	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
951	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
952	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
953	C₂³×C₄	—	13	1	no	—
954	C₂³×C₄	—	13	1	no	—
955	C₂³×C₄	—	13	1	no	—
956	C₂³×C₄	—	13	1	no	—
957	C₂³×C₄	—	13	1	no	—
958	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
959	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
960	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
961	C₄⋊Q₈	—	52	2	no	—
962	#124	—	52	2	no	—
963	#124	—	52	2	no	—
964	#124	—	52	2	no	—
965	#123	—	4	2	no	—
966	#123	—	52	2	no	—
967	C₂²⋊Q₈	—	26	4	no	—
968	C₂²⋊Q₈	—	52	2	no	—
969	C₂²⋊Q₈	—	52	2	no	—
970	C₂²⋊Q₈	—	52	2	no	—
971	C₂²⋊Q₈	—	52	2	no	—
972	#121	—	26	4	no	—
973	#120	—	4	2	no	—
974	#120	—	52	2	no	—
975	C₄×D₄	—	4	2	no	—
976	C₄×D₄	—	52	2	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	1	no	—
979	C₂×C₄⋊C₄	—	13	1	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	1	no	—
983	C₂×C₄⋊C₄	—	13	1	no	—
984	C₂×C₄⋊C₄	—	13	1	no	—
985	C₂×C₄⋊C₄	—	13	1	no	—
986	C₂×C₄⋊C₄	—	13	1	no	—
987	C₂×C₄⋊C₄	—	13	1	no	—
988	C₂×C₄⋊C₄	—	13	1	no	—
989	C₂×C₄⋊C₄	—	13	1	no	—
990	C₂×C₄⋊C₄	—	13	1	no	—
991	C₂×C₄⋊C₄	—	13	1	no	—
992	C₂×C₄⋊C₄	—	13	1	no	—
993	C₂×C₄⋊C₄	—	13	1	no	—
994	C₂×C₄⋊C₄	—	13	1	no	—
995	C₂×C₄⋊C₄	—	13	1	no	—
996	C₂×C₄⋊C₄	—	13	1	no	—
997	C₂×C₄⋊C₄	—	13	1	no	—
998	C₂×C₄⋊C₄	—	13	1	no	—
999	C₂×C₄⋊C₄	—	13	1	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	1	no	—
1002	C₂×C₄⋊C₄	—	13	1	no	—
1003	C₂×C₄⋊C₄	—	13	1	no	—
1004	C₂×C₄⋊C₄	—	52	2	no	—
1005	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1010	C₂×C₂²⋊C₄	—	4	2	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	1	no	—
1013	C₂×C₂²⋊C₄	—	13	1	no	—
1014	C₂×C₂²⋊C₄	—	13	1	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	—	13	1	no	—
1017	C₂×C₂²⋊C₄	—	13	1	no	—
1018	C₂×C₂²⋊C₄	—	13	1	no	—
1019	C₂×C₂²⋊C₄	—	13	1	no	—
1020	C₂×C₂²⋊C₄	—	13	1	no	—
1021	C₂×C₂²⋊C₄	—	13	1	no	—
1022	C₂×C₂²⋊C₄	—	13	1	no	—
1023	C₂×C₂²⋊C₄	—	13	1	no	—
1024	C₂×C₂²⋊C₄	—	13	1	no	—
1025	C₂×C₂²⋊C₄	—	13	1	no	—
1026	C₂×C₂²⋊C₄	—	13	1	no	—
1027	C₂×C₂²⋊C₄	—	13	1	no	—
1028	C₂×C₂²⋊C₄	—	13	1	no	—
1029	C₂×C₂²⋊C₄	—	13	1	no	—
1030	C₂×C₂²⋊C₄	—	13	1	no	—
1031	C₂×C₂²⋊C₄	—	13	1	no	—
1032	C₂×C₂²⋊C₄	—	13	1	no	—
1033	C₂×C₂²⋊C₄	—	13	1	no	—
1034	C₂×C₂²⋊C₄	—	13	1	no	—
1035	C₂×C₂²⋊C₄	—	13	1	no	—
1036	C₂×C₂²⋊C₄	—	13	1	no	—
1037	C₂×C₂²⋊C₄	—	13	1	no	—
1038	C₂×C₂²⋊C₄	—	13	1	no	—
1039	C₂×C₂²⋊C₄	—	13	1	no	—
1040	C₂×C₂²⋊C₄	—	13	1	no	—
1041	C₂×C₂²⋊C₄	—	13	1	no	—
1042	C₂×C₂²⋊C₄	—	13	1	no	—
1043	C₂×C₂²⋊C₄	—	13	1	no	—
1044	C₂×C₂²⋊C₄	—	13	1	no	—
1045	C₂×C₂²⋊C₄	—	26	4	no	—
1046	C₂×C₂²⋊C₄	—	52	2	no	—
1047	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1063	C₂×C₄²	—	13	1	no	—
1064	C₂×C₄²	—	13	1	no	—
1065	C₂×C₄²	—	13	1	no	—
1066	C₂×C₄²	—	13	1	no	—
1067	C₂×C₄²	—	13	1	no	—
1068	C₂×C₄²	—	13	1	no	—
1069	C₂×C₄²	—	13	1	no	—
1070	C₂×C₄²	—	13	1	no	—
1071	C₂×C₄²	—	13	1	no	—
1072	C₂×C₄²	—	52	2	no	—
1073	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1074	#95	—	13	1	no	—
1075	#95	—	13	1	no	—
1076	#95	—	13	1	no	—
1077	#95	—	13	1	no	—
1078	#95	—	13	1	no	—
1079	#95	—	13	1	no	—
1080	#95	—	13	1	no	—
1081	#95	—	13	1	no	—
1082	#95	—	13	1	no	—
1083	#95	—	13	1	no	—
1084	#95	—	13	1	no	—
1085	#95	—	13	1	no	—
1086	#95	—	13	1	no	—
1087	#95	—	13	1	no	—
1088	#95	—	13	1	no	—
1089	#95	—	13	1	no	—
1090	#95	—	13	1	no	—
1091	#95	—	13	1	no	—
1092	#95	—	13	1	no	—
1093	#95	—	13	1	no	—
1094	#95	—	13	1	no	—
1095	#95	—	13	1	no	—
1096	#95	—	13	1	no	—
1097	#95	—	13	1	no	—
1098	#95	—	13	1	no	—
1099	#95	—	13	1	no	—
1100	#95	—	13	1	no	—
1101	#95	—	13	1	no	—
1102	#95	—	13	1	no	—
1103	#95	—	13	1	no	—
1104	#95	—	13	1	no	—
1105	#95	—	13	1	no	—
1106	#95	—	13	1	no	—
1107	#95	—	13	1	no	—
1108	#95	—	13	1	no	—
1109	#95	—	13	1	no	—
1110	#95	—	13	1	no	—
1111	#95	—	13	1	no	—
1112	#95	C₂²×D₁₃	1	1	yes	characteristic
1113	#95	C₂²×D₁₃	1	1	yes	characteristic
1114	#95	C₂²×D₁₃	1	1	yes	characteristic
1115	#95	C₂²×D₁₃	1	1	yes	characteristic
1116	#95	C₂²×D₁₃	1	1	yes	characteristic
1117	#95	C₂²×D₁₃	1	1	yes	characteristic
1118	C₂×C₁₃	—	2	4	no	—
1119	C₂×C₁₃	—	8	1	no	—
1120	C₂×C₁₃	—	8	1	no	—
1121	C₂×C₁₃	—	8	1	no	—
1122	C₂×C₁₃	C₂×#542	1	1	yes	characteristic
1123	C₂×C₁₃	#3505	1	1	yes	characteristic
1124	C₂×C₁₃	#3506	1	1	yes	characteristic
1125	C₂×C₁₃	#3535	1	1	yes	characteristic
1126	C₂×C₁₃	#3537	1	1	yes	characteristic
1127	C₂×C₁₃	#3560	1	1	yes	characteristic
1128	C₂×C₁₃	#3561	1	1	yes	characteristic
1129	D₁₃	—	8	1	no	—
1130	C₂⁴	—	2	2	no	—
1131	C₂⁴	—	2	2	no	—
1132	C₂⁴	—	2	2	no	—
1133	C₂⁴	—	4	1	no	—
1134	C₂⁴	—	4	1	no	—
1135	C₂⁴	—	4	1	no	—
1136	C₂⁴	—	4	1	no	—
1137	C₂⁴	—	13	1	no	—
1138	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1139	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1140	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1141	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1142	C₂×Q₈	—	26	2	no	—
1143	C₂×Q₈	—	26	2	no	—
1144	C₂×Q₈	—	26	2	no	—
1145	C₂×Q₈	—	52	1	no	—
1146	C₂×Q₈	—	52	1	no	—
1147	C₂×Q₈	—	52	1	no	—
1148	C₂×Q₈	—	52	1	no	—
1149	C₂×Q₈	—	52	1	no	—
1150	C₂×Q₈	—	52	1	no	—
1151	C₂×D₄	—	2	2	no	—
1152	C₂×D₄	—	2	2	no	—
1153	C₂×D₄	—	2	2	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	1	no	—
1159	C₂×D₄	—	4	1	no	—
1160	C₂×D₄	—	26	2	no	—
1161	C₂×D₄	—	26	2	no	—
1162	C₂×D₄	—	26	2	no	—
1163	C₂×D₄	—	26	2	no	—
1164	C₂×D₄	—	52	1	no	—
1165	C₂×D₄	—	52	1	no	—
1166	C₂×D₄	—	52	1	no	—
1167	C₂×D₄	—	52	1	no	—
1168	C₂×D₄	—	52	1	no	—
1169	C₂×D₄	—	52	1	no	—
1170	C₂×D₄	—	52	1	no	—
1171	C₂×D₄	—	52	1	no	—
1172	C₂²×C₄	—	2	2	no	—
1173	C₂²×C₄	—	2	2	no	—
1174	C₂²×C₄	—	2	2	no	—
1175	C₂²×C₄	—	4	1	no	—
1176	C₂²×C₄	—	4	1	no	—
1177	C₂²×C₄	—	4	1	no	—
1178	C₂²×C₄	—	4	1	no	—
1179	C₂²×C₄	—	4	1	no	—
1180	C₂²×C₄	—	4	1	no	—
1181	C₂²×C₄	—	13	1	no	—
1182	C₂²×C₄	—	13	1	no	—
1183	C₂²×C₄	—	13	1	no	—
1184	C₂²×C₄	—	13	4	no	—
1185	C₂²×C₄	—	13	1	no	—
1186	C₂²×C₄	—	13	1	no	—
1187	C₂²×C₄	—	13	1	no	—
1188	C₂²×C₄	—	13	1	no	—
1189	C₂²×C₄	—	13	1	no	—
1190	C₂²×C₄	—	13	1	no	—
1191	C₂²×C₄	—	13	1	no	—
1192	C₂²×C₄	—	13	1	no	—
1193	C₂²×C₄	—	13	1	no	—
1194	C₂²×C₄	—	13	1	no	—
1195	C₂²×C₄	—	13	1	no	—
1196	C₂²×C₄	—	13	1	no	—
1197	C₂²×C₄	—	26	2	no	—
1198	C₂²×C₄	—	26	2	no	—
1199	C₂²×C₄	—	26	2	no	—
1200	C₂²×C₄	—	26	2	no	—
1201	C₂²×C₄	—	52	1	no	—
1202	C₂²×C₄	—	52	1	no	—
1203	C₂²×C₄	—	52	1	no	—
1204	C₂²×C₄	—	52	1	no	—
1205	C₂²×C₄	—	52	1	no	—
1206	C₂²×C₄	—	52	1	no	—
1207	C₂²×C₄	—	52	1	no	—
1208	C₂²×C₄	—	52	1	no	—
1209	C₂²×C₄	—	52	1	no	—
1210	C₂²×C₄	—	52	1	no	—
1211	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1222	C₄⋊C₄	—	2	2	no	—
1223	C₄⋊C₄	—	4	1	no	—
1224	C₄⋊C₄	—	4	1	no	—
1225	C₄⋊C₄	—	4	1	no	—
1226	C₄⋊C₄	—	4	1	no	—
1227	C₄⋊C₄	—	26	2	no	—
1228	C₄⋊C₄	—	26	2	no	—
1229	C₄⋊C₄	—	26	2	no	—
1230	C₄⋊C₄	—	26	2	no	—
1231	C₄⋊C₄	—	26	2	no	—
1232	C₄⋊C₄	—	26	2	no	—
1233	C₄⋊C₄	—	26	2	no	—
1234	C₄⋊C₄	—	52	1	no	—
1235	C₄⋊C₄	—	52	1	no	—
1236	C₄⋊C₄	—	52	1	no	—
1237	C₄⋊C₄	—	52	1	no	—
1238	C₄⋊C₄	—	52	1	no	—
1239	C₄⋊C₄	—	52	1	no	—
1240	C₄⋊C₄	—	52	1	no	—
1241	C₄⋊C₄	—	52	1	no	—
1242	C₄⋊C₄	—	52	1	no	—
1243	C₄⋊C₄	—	52	1	no	—
1244	C₄⋊C₄	—	52	1	no	—
1245	C₄⋊C₄	—	52	1	no	—
1246	C₄⋊C₄	—	52	1	no	—
1247	C₄⋊C₄	—	52	1	no	—
1248	C₄⋊C₄	—	52	1	no	—
1249	C₄⋊C₄	—	52	1	no	—
1250	C₄⋊C₄	—	52	1	no	—
1251	C₄⋊C₄	—	52	1	no	—
1252	C₄⋊C₄	—	52	1	no	—
1253	C₄⋊C₄	—	52	1	no	—
1254	C₂²⋊C₄	—	2	2	no	—
1255	C₂²⋊C₄	—	2	2	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	4	1	no	—
1261	C₂²⋊C₄	—	4	1	no	—
1262	C₂²⋊C₄	—	4	1	no	—
1263	C₂²⋊C₄	—	4	1	no	—
1264	C₂²⋊C₄	—	4	1	no	—
1265	C₂²⋊C₄	—	4	1	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	26	2	no	—
1271	C₂²⋊C₄	—	26	2	no	—
1272	C₂²⋊C₄	—	26	2	no	—
1273	C₂²⋊C₄	—	26	2	no	—
1274	C₂²⋊C₄	—	26	2	no	—
1275	C₂²⋊C₄	—	26	2	no	—
1276	C₂²⋊C₄	—	26	2	no	—
1277	C₂²⋊C₄	—	26	2	no	—
1278	C₂²⋊C₄	—	26	2	no	—
1279	C₂²⋊C₄	—	26	2	no	—
1280	C₂²⋊C₄	—	26	2	no	—
1281	C₂²⋊C₄	—	26	2	no	—
1282	C₂²⋊C₄	—	26	2	no	—
1283	C₂²⋊C₄	—	26	2	no	—
1284	C₂²⋊C₄	—	52	1	no	—
1285	C₂²⋊C₄	—	52	1	no	—
1286	C₂²⋊C₄	—	52	1	no	—
1287	C₂²⋊C₄	—	52	1	no	—
1288	C₂²⋊C₄	—	52	1	no	—
1289	C₂²⋊C₄	—	52	1	no	—
1290	C₂²⋊C₄	—	52	1	no	—
1291	C₂²⋊C₄	—	52	1	no	—
1292	C₂²⋊C₄	—	52	1	no	—
1293	C₂²⋊C₄	—	52	1	no	—
1294	C₂²⋊C₄	—	52	1	no	—
1295	C₂²⋊C₄	—	52	1	no	—
1296	C₂²⋊C₄	—	52	1	no	—
1297	C₂²⋊C₄	—	52	1	no	—
1298	C₂²⋊C₄	—	52	1	no	—
1299	C₂²⋊C₄	—	52	1	no	—
1300	C₂²⋊C₄	—	52	1	no	—
1301	C₂²⋊C₄	—	52	1	no	—
1302	C₂²⋊C₄	—	52	1	no	—
1303	C₂²⋊C₄	—	52	1	no	—
1304	C₄²	—	4	1	no	—
1305	C₄²	—	26	2	no	—
1306	C₄²	—	26	2	no	—
1307	C₄²	—	52	1	no	—
1308	C₄²	—	52	1	no	—
1309	C₄²	—	52	1	no	—
1310	C₄²	—	52	1	no	—
1311	C₄²	—	52	1	no	—
1312	C₄²	—	52	1	no	—
1313	C₄²	—	52	1	no	—
1314	C₁₃	#36766	1	1	yes	characteristic, complemented, Sylow
1315	C₂³	—	2	1	no	—
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	4	4	no	—
1341	C₂³	—	4	4	no	—
1342	C₂³	—	4	4	no	—
1343	C₂³	—	8	2	no	—
1344	C₂³	—	8	2	no	—
1345	C₂³	—	8	2	no	—
1346	C₂³	—	8	2	no	—
1347	C₂³	—	26	1	no	—
1348	C₂³	—	26	1	no	—
1349	C₂³	—	26	1	no	—
1350	C₂³	—	26	1	no	—
1351	C₂³	—	26	1	no	—
1352	C₂³	—	26	1	no	—
1353	C₂³	—	26	1	no	—
1354	C₂³	#88251	1	2	yes	—
1355	C₂³	#41×D₁₃	1	2	yes	—
1356	C₂³	#88257	1	2	yes	—
1357	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1358	Q₈	—	104	2	no	—
1359	Q₈	—	104	2	no	—
1360	Q₈	—	104	2	no	—
1361	D₄	—	4	4	no	—
1362	D₄	—	8	2	no	—
1363	D₄	—	8	2	no	—
1364	D₄	—	52	4	no	—
1365	D₄	—	104	2	no	—
1366	D₄	—	104	2	no	—
1367	D₄	—	104	2	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	4	4	no	—
1401	C₂×C₄	—	8	2	no	—
1402	C₂×C₄	—	8	2	no	—
1403	C₂×C₄	—	13	2	no	—
1404	C₂×C₄	—	13	2	no	—
1405	C₂×C₄	—	13	2	no	—
1406	C₂×C₄	—	26	1	no	—
1407	C₂×C₄	—	26	1	no	—
1408	C₂×C₄	—	26	1	no	—
1409	C₂×C₄	—	26	1	no	—
1410	C₂×C₄	—	26	1	no	—
1411	C₂×C₄	—	26	1	no	—
1412	C₂×C₄	—	26	1	no	—
1413	C₂×C₄	—	26	1	no	—
1414	C₂×C₄	—	26	1	no	—
1415	C₂×C₄	—	26	1	no	—
1416	C₂×C₄	—	26	1	no	—
1417	C₂×C₄	—	26	1	no	—
1418	C₂×C₄	—	26	1	no	—
1419	C₂×C₄	—	26	1	no	—
1420	C₂×C₄	—	26	1	no	—
1421	C₂×C₄	—	26	1	no	—
1422	C₂×C₄	—	26	1	no	—
1423	C₂×C₄	—	26	1	no	—
1424	C₂×C₄	—	26	1	no	—
1425	C₂×C₄	—	26	1	no	—
1426	C₂×C₄	—	26	1	no	—
1427	C₂×C₄	—	26	1	no	—
1428	C₂×C₄	—	26	1	no	—
1429	C₂×C₄	—	26	1	no	—
1430	C₂×C₄	—	26	1	no	—
1431	C₂×C₄	—	26	1	no	—
1432	C₂×C₄	—	26	1	no	—
1433	C₂×C₄	—	26	1	no	—
1434	C₂×C₄	—	26	1	no	—
1435	C₂×C₄	—	26	1	no	—
1436	C₂×C₄	—	26	1	no	—
1437	C₂×C₄	—	26	1	no	—
1438	C₂×C₄	—	26	1	no	—
1439	C₂×C₄	—	26	1	no	—
1440	C₂×C₄	—	26	1	no	—
1441	C₂×C₄	—	26	1	no	—
1442	C₂×C₄	—	26	1	no	—
1443	C₂×C₄	—	26	1	no	—
1444	C₂×C₄	—	26	1	no	—
1445	C₂×C₄	—	26	1	no	—
1446	C₂×C₄	—	26	1	no	—
1447	C₂×C₄	—	26	1	no	—
1448	C₂×C₄	—	52	4	no	—
1449	C₂×C₄	—	52	4	no	—
1450	C₂×C₄	—	52	4	no	—
1451	C₂×C₄	—	104	2	no	—
1452	C₂×C₄	—	104	2	no	—
1453	C₂×C₄	#88251	1	2	yes	—
1454	C₂²	—	2	2	no	—
1455	C₂²	—	2	2	no	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	8	8	no	—
1482	C₂²	—	52	1	no	—
1483	C₂²	—	52	1	no	—
1484	C₂²	—	52	1	no	—
1485	C₂²	—	52	1	no	—
1486	C₂²	—	52	1	no	—
1487	C₂²	—	52	1	no	—
1488	C₂²	—	52	1	no	—
1489	C₂²	#11719367	1	4	yes	—
1490	C₂²	C₂×#88251	1	1	yes	characteristic
1491	C₂²	C₂×#88251	1	1	yes	characteristic
1492	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1493	C₂²	C₂×#88257	1	1	yes	characteristic
1494	C₂²	#11719648	1	1	yes	characteristic
1495	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1496	C₂²	#11719650	1	1	yes	characteristic
1497	C₄	—	2	2	no	—
1498	C₄	—	4	1	no	—
1499	C₄	—	4	1	no	—
1500	C₄	—	4	1	no	—
1501	C₄	—	4	1	no	—
1502	C₄	—	4	1	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	26	2	no	—
1509	C₄	—	26	2	no	—
1510	C₄	—	26	2	no	—
1511	C₄	—	52	1	no	—
1512	C₄	—	52	1	no	—
1513	C₄	—	52	1	no	—
1514	C₄	—	52	1	no	—
1515	C₄	—	52	1	no	—
1516	C₄	—	52	1	no	—
1517	C₄	—	52	1	no	—
1518	C₄	—	52	1	no	—
1519	C₄	—	52	1	no	—
1520	C₄	—	52	1	no	—
1521	C₄	—	52	1	no	—
1522	C₄	—	52	1	no	—
1523	C₂	—	2	4	no	—
1524	C₂	—	8	1	no	—
1525	C₂	—	8	1	no	—
1526	C₂	—	8	1	no	—
1527	C₂	—	104	1	no	—
1528	C₂	C₂×#11719367	1	1	yes	characteristic
1529	C₂	#13128664	1	1	yes	characteristic
1530	C₂	#13128683	1	1	yes	characteristic
1531	C₂	#13129033	1	1	yes	characteristic
1532	C₂	#13129067	1	1	yes	characteristic
1533	C₂	#13129380	1	1	yes	characteristic
1534	C₂	#13129394	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2418	C₂
prime radical	#13120574	C₂
hypercenter	#2418	D₁₃
hypocenter	C₁₃	#36766
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2418

Complements

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

N	H ≅ G/N	type
1. #13123186	C₂	semidirect
2. #13123133	C₂	semidirect
3. #13122742	C₂	semidirect
4. #13122740	C₂	semidirect
5. #13122669	C₂	semidirect
6. #13122663	C₂	semidirect
7. #13122381	C₂	semidirect
8. #13122377	C₂	semidirect
9. #13122208	C₂	semidirect
10. #13122201	C₂	semidirect
11. #13122172	C₂	semidirect
12. #13122167	C₂	semidirect
13. #13121839	C₂	semidirect
14. #13121836	C₂	semidirect
15. #13121585	C₂	semidirect
16. #13121574	C₂	semidirect
17. #13121122	C₂	semidirect
18. #13121117	C₂	semidirect
19. #13120645	C₂	semidirect
21. #13119400	C₂	semidirect
22. #13119392	C₂	semidirect
23. #13118961	C₂	semidirect
24. #13118959	C₂	semidirect
25. #13118647	C₂	semidirect
26. #13118639	C₂	semidirect
27. #13118298	C₂	semidirect
28. #13117567	C₂	semidirect
29. #13117534	C₂	semidirect
30. C₂×#11718605	C₂	semidirect
31. C₁₃×#2418	C₂	semidirect
42. C₂×#88178	C₂²	semidirect
45. C₂×#88150	C₂²	semidirect
46. C₂×#88142	C₂²	semidirect
48. C₂×#88139	C₂²	semidirect
76. #11718874	C₂²	semidirect
79. #11718871	C₂²	semidirect
80. #11718871	C₂²	semidirect
83. #11718654	C₂²	semidirect
84. #11718653	C₂²	semidirect
85. #11718651	C₂²	semidirect
86. #11718650	C₂²	semidirect
87. #11718647	C₂²	semidirect
88. #11718646	C₂²	semidirect
89. #11718645	C₂²	semidirect
90. #11718642	C₂²	semidirect
91. #11718640	C₂²	semidirect
92. #11718640	C₂²	semidirect
93. #11718639	C₂²	semidirect
94. #11718639	C₂²	semidirect
95. #11718637	C₂²	semidirect
96. #11718635	C₂²	semidirect
97. #11718634	C₂²	semidirect
98. #11718634	C₂²	semidirect
99. #11718633	C₂²	semidirect
100. #11718633	C₂²	semidirect
111. #11718618	C₂²	semidirect
113. #11718617	C₂²	semidirect
115. #11718614	C₂²	semidirect
120. #11718613	C₂²	semidirect
123. #11718612	C₂²	semidirect
124. #11718612	C₂²	semidirect
129. #11718610	C₂²	semidirect
134. #11718609	C₂²	semidirect
143. #11718606	C₂²	semidirect
153. #11718605	C₂²	semidirect
154. #11718605	C₂²	semidirect
159. #11718601	C₂²	semidirect
160. #11718594	C₂²	semidirect
161. #11718594	C₂²	semidirect
162. #11718589	C₂²	semidirect
163. #11718337	C₂²	semidirect
164. #11718335	C₂²	semidirect
165. #11718331	C₂²	semidirect
166. #11718331	C₂²	semidirect
167. #11718330	C₂²	semidirect
168. #11718329	C₂²	semidirect
169. C₁₃⋊#401	C₂²	semidirect
170. C₁₃⋊#401	C₂²	semidirect
171. #11718321	C₂²	semidirect
172. #11718318	C₂²	semidirect
173. #11718314	C₂²	semidirect
174. #11718314	C₂²	semidirect
175. #11718313	C₂²	semidirect
176. #11718313	C₂²	semidirect
177. #11718313	C₂²	semidirect
178. #11718312	C₂²	semidirect
179. #11718312	C₂²	semidirect
180. #11718311	C₂²	semidirect
181. #11718308	C₂²	semidirect
182. #11718308	C₂²	semidirect
183. #11718307	C₂²	semidirect
184. #11718307	C₂²	semidirect
185. #11718307	C₂²	semidirect
186. #11718307	C₂²	semidirect
575. #2418	D₁₃	semidirect
1314. C₁₃	#36766	semidirect

Maximal subgroups

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

subgroup	index
#13123186	2
#13123133	2
#13122742	2
#13122740	2
#13122669	2
#13122663	2
#13122381	2
#13122377	2
#13122208	2
#13122201	2
#13122172	2
#13122167	2
#13121839	2
#13121836	2
#13121585	2
#13121574	2
#13121122	2
#13121117	2
#13120645	2
#13120574	2
#13119400	2
#13119392	2
#13118961	2
#13118959	2
#13118647	2
#13118639	2
#13118298	2
#13117567	2
#13117534	2
C₂×#11718605	2
C₁₃×#2418	2
#36766	13