Subgroups — #16036245

Order 3328.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123229	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123224	C₂	1	1	yes	maximal, characteristic, complemented
3	#13123161	C₂	1	1	yes	maximal, characteristic, complemented
4	#13123149	C₂	1	1	yes	maximal, characteristic, complemented
5	#13120921	C₂	1	1	yes	maximal, characteristic, complemented
6	#13120894	C₂	1	1	yes	maximal, characteristic, complemented
7	#13120861	C₂	1	1	yes	maximal, characteristic, complemented
8	#13120834	C₂	1	1	yes	maximal, characteristic, complemented
9	#13120374	C₂	1	1	yes	maximal, characteristic, complemented
10	#13120351	C₂	1	1	yes	maximal, characteristic, complemented
11	#13120342	C₂	1	1	yes	maximal, characteristic, complemented
12	#13120058	C₂	1	1	yes	maximal, characteristic, complemented
13	#13120021	C₂	1	1	yes	maximal, characteristic, complemented
14	#13119992	C₂	1	1	yes	maximal, characteristic, complemented
15	#13119724	C₂	1	1	yes	maximal, characteristic
16	#13119598	C₂	1	1	yes	maximal, characteristic, complemented
17	#13119467	C₂	1	1	yes	maximal, characteristic, complemented
18	#13119222	C₂	1	1	yes	maximal, characteristic, complemented
19	#13119075	C₂	1	1	yes	maximal, characteristic, complemented
20	#13118922	C₂	1	1	yes	maximal, characteristic, complemented
21	#13118755	C₂	1	1	yes	maximal, characteristic, complemented
22	#13118308	C₂	1	1	yes	maximal, characteristic, complemented
23	#13118293	C₂	1	1	yes	maximal, characteristic
24	#13117506	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117495	C₂	1	1	yes	maximal, characteristic
26	#13117435	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117430	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88150	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#88135	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2597	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88191	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
34	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×#88150	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×#88140	C₂²	1	1	yes	characteristic
38	C₂×#88137	C₂²	1	1	yes	characteristic
39	C₂×#88135	C₂²	1	1	yes	characteristic
40	C₂×#88135	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×#88133	C₂²	1	1	yes	characteristic
45	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#397	C₂²	1	1	yes	characteristic
49	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#394	C₂²	1	1	yes	characteristic
51	C₁₃×#390	C₂²	1	1	yes	characteristic
52	C₁₃×#388	C₂²	1	1	yes	characteristic
53	C₁₃×#388	C₂²	1	1	yes	characteristic
54	C₁₃×#388	C₂²	1	1	yes	characteristic
55	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#386	C₂²	1	1	yes	characteristic
59	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	#11718883	C₂²	1	1	yes	characteristic
63	#11718881	C₂²	1	1	yes	characteristic
64	#11718881	C₂²	1	1	yes	characteristic
65	#11718874	C₂²	1	1	yes	characteristic
66	#11718871	C₂²	1	1	yes	characteristic, complemented
67	#11718655	C₂²	1	1	yes	characteristic
68	#11718651	C₂²	1	1	yes	characteristic
69	#11718651	C₂²	1	1	yes	characteristic
70	#11718651	C₂²	1	1	yes	characteristic
71	#11718651	C₂²	1	1	yes	characteristic
72	#11718651	C₂²	1	1	yes	characteristic
73	#11718650	C₂²	1	1	yes	characteristic
74	#11718650	C₂²	1	1	yes	characteristic
75	#11718648	C₂²	1	1	yes	characteristic
76	#11718648	C₂²	1	1	yes	characteristic
77	#11718645	C₂²	1	1	yes	characteristic, complemented
78	#11718643	C₂²	1	1	yes	characteristic, complemented
79	#11718642	C₂²	1	1	yes	characteristic, complemented
80	#11718642	C₂²	1	1	yes	characteristic, complemented
81	#11718642	C₂²	1	1	yes	characteristic, complemented
82	#11718642	C₂²	1	1	yes	characteristic, complemented
83	#11718641	C₂²	1	1	yes	characteristic, complemented
84	#11718640	C₂²	1	1	yes	characteristic, complemented
85	#11718639	C₂²	1	1	yes	characteristic, complemented
86	#11718639	C₂²	1	1	yes	characteristic, complemented
87	#11718633	C₂²	1	1	yes	characteristic, complemented
88	#11718633	C₂²	1	1	yes	characteristic, complemented
89	#11718620	C₂²	1	1	yes	characteristic
90	#11718620	C₂²	1	1	yes	characteristic
91	#11718619	C₂²	1	1	yes	characteristic
92	#11718618	C₂²	1	1	yes	characteristic
93	#11718617	C₂²	1	1	yes	characteristic
94	#11718617	C₂²	1	1	yes	characteristic
95	#11718616	C₂²	1	1	yes	characteristic
96	#11718616	C₂²	1	1	yes	characteristic
97	#11718616	C₂²	1	1	yes	characteristic
98	#11718613	C₂²	1	1	yes	characteristic
99	#11718613	C₂²	1	1	yes	characteristic
100	#11718613	C₂²	1	1	yes	characteristic, complemented
101	#11718612	C₂²	1	1	yes	characteristic
102	#11718612	C₂²	1	1	yes	characteristic
103	#11718612	C₂²	1	1	yes	characteristic
104	#11718611	C₂²	1	1	yes	characteristic, complemented
105	#11718610	C₂²	1	1	yes	characteristic
106	#11718610	C₂²	1	1	yes	characteristic, complemented
107	#11718609	C₂²	1	1	yes	characteristic
108	#11718608	C₂²	1	1	yes	characteristic
109	#11718608	C₂²	1	1	yes	characteristic, complemented
110	#11718607	C₂²	1	1	yes	characteristic, complemented
111	#11718607	C₂²	1	1	yes	characteristic, complemented
112	#11718606	C₂²	1	1	yes	characteristic
113	#11718606	C₂²	1	1	yes	characteristic
114	#11718606	C₂²	1	1	yes	characteristic
115	#11718606	C₂²	1	1	yes	characteristic
116	#11718606	C₂²	1	1	yes	characteristic
117	#11718606	C₂²	1	1	yes	characteristic, complemented
118	#11718605	C₂²	1	1	yes	characteristic
119	#11718605	C₂²	1	1	yes	characteristic
120	#11718605	C₂²	1	1	yes	characteristic
121	#11718605	C₂²	1	1	yes	characteristic
122	#11718604	C₂²	1	1	yes	characteristic, complemented
123	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
124	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
125	#11718601	C₂²	1	1	yes	characteristic
126	#11718601	C₂²	1	1	yes	characteristic
127	#11718601	C₂²	1	1	yes	characteristic
128	#11718601	C₂²	1	1	yes	characteristic
129	C₄×#6103	C₂²	1	1	yes	characteristic
130	C₄×#6103	C₂²	1	1	yes	characteristic
131	C₄×#6103	C₂²	1	1	yes	characteristic
132	#11718594	C₂²	1	1	yes	characteristic, complemented
133	#11718594	C₂²	1	1	yes	characteristic, complemented
134	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
135	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
136	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
137	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
138	#11718589	C₂²	1	1	yes	characteristic, complemented
139	#11718337	C₂²	1	1	yes	characteristic
140	#11718336	C₂²	1	1	yes	characteristic
141	#11718336	C₂²	1	1	yes	characteristic
142	#11718336	C₂²	1	1	yes	characteristic
143	#11718334	C₂²	1	1	yes	characteristic
144	#11718331	C₂²	1	1	yes	characteristic
145	#11718331	C₂²	1	1	yes	characteristic
146	#11718331	C₂²	1	1	yes	characteristic
147	#11718330	C₂²	1	1	yes	characteristic
148	#11718330	C₂²	1	1	yes	characteristic
149	#11718330	C₂²	1	1	yes	characteristic
150	#11718330	C₂²	1	1	yes	characteristic
151	#11718329	C₂²	1	1	yes	characteristic
152	#11718329	C₂²	1	1	yes	characteristic
153	#11718328	C₂²	1	1	yes	characteristic
154	#11718328	C₂²	1	1	yes	characteristic
155	#11718328	C₂²	1	1	yes	characteristic
156	#11718327	C₂²	1	1	yes	characteristic
157	#11718327	C₂²	1	1	yes	characteristic
158	#11718325	C₂²	1	1	yes	characteristic
159	#11718325	C₂²	1	1	yes	characteristic
160	#11718325	C₂²	1	1	yes	characteristic
161	D₁₃×#95	C₂²	1	1	yes	characteristic
162	D₁₃×#95	C₂²	1	1	yes	characteristic
163	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
164	#11718321	C₂²	1	1	yes	characteristic, complemented
165	#11718320	C₂²	1	1	yes	characteristic, complemented
166	#11718319	C₂²	1	1	yes	characteristic, complemented
167	#11718319	C₂²	1	1	yes	characteristic, complemented
168	#11718319	C₂²	1	1	yes	characteristic, complemented
169	#11718318	C₂²	1	1	yes	characteristic, complemented
170	#11718316	C₂²	1	1	yes	characteristic, complemented
171	#11718316	C₂²	1	1	yes	characteristic, complemented
172	#11718316	C₂²	1	1	yes	characteristic, complemented
173	#11718316	C₂²	1	1	yes	characteristic, complemented
174	#11718316	C₂²	1	1	yes	characteristic, complemented
175	#11718315	C₂²	1	1	yes	characteristic, complemented
176	#11718315	C₂²	1	1	yes	characteristic, complemented
177	#11718314	C₂²	1	1	yes	characteristic, complemented
178	#11718314	C₂²	1	1	yes	characteristic, complemented
179	#11718314	C₂²	1	1	yes	characteristic, complemented
180	#11718313	C₂²	1	1	yes	characteristic, complemented
181	#11718313	C₂²	1	1	yes	characteristic, complemented
182	#11718313	C₂²	1	1	yes	characteristic, complemented
183	#11718312	C₂²	1	1	yes	characteristic, complemented
184	#11718310	C₂²	1	1	yes	characteristic, complemented
185	#11718310	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
192	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	#88191	—	2	4	no	—
234	C₄×C₂²⋊D₁₃	—	2	4	no	—
235	C₂×#6103	C₂³	1	1	yes	characteristic
236	C₂×#6103	C₂³	1	1	yes	characteristic
237	C₂×#6103	C₂³	1	1	yes	characteristic
238	C₂×#6103	C₂³	1	1	yes	characteristic
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	1	yes	characteristic
242	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
246	C₂×#6103	C₂³	1	1	yes	characteristic
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	1	yes	characteristic
264	C₂×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	1	yes	characteristic
274	C₂×#6101	C₂³	1	1	yes	characteristic
275	C₂×#6101	C₂³	1	1	yes	characteristic
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	—	4	2	no	—
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	#88150	—	2	4	no	—
294	C₄⋊C₄×D₁₃	—	2	4	no	—
295	#88140	—	4	2	no	—
296	#88137	—	2	4	no	—
297	#88135	—	2	4	no	—
298	#88135	—	2	4	no	—
299	C₂²⋊C₄×D₁₃	—	2	4	no	—
300	C₂²⋊C₄×D₁₃	—	2	4	no	—
301	C₂²⋊C₄×D₁₃	—	4	2	no	—
302	#88133	—	4	2	no	—
303	C₄²×D₁₃	—	4	2	no	—
304	C₄×Dic₂₆	—	4	2	no	—
305	C₁₃×#95	C₂³	1	1	yes	characteristic
306	C₁₃×#95	C₂³	1	1	yes	characteristic
307	C₁₃×#95	C₂³	1	1	yes	characteristic
308	C₁₃×#95	C₂³	1	1	yes	characteristic
309	C₁₃×#95	C₂³	1	1	yes	characteristic
310	C₁₃×#95	C₂³	1	1	yes	characteristic
311	C₁₃×#95	C₂³	1	1	yes	characteristic
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	#88071	C₂³	1	1	yes	characteristic
318	#88071	C₂³	1	1	yes	characteristic
319	#88071	C₂³	1	1	yes	characteristic
320	#88071	C₂³	1	1	yes	characteristic
321	#88071	C₂³	1	1	yes	characteristic
322	#88071	C₂³	1	1	yes	characteristic
323	#88071	C₂³	1	1	yes	characteristic
324	#88071	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	#35027	—	13	1	no	maximal, Sylow
358	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂³×D₁₃	—	2	2	no	—
361	C₂³×D₁₃	—	2	2	no	—
362	C₂³×D₁₃	—	2	2	no	—
363	C₂³×D₁₃	—	4	1	no	—
364	C₂³×D₁₃	—	4	1	no	—
365	C₂³×D₁₃	—	4	1	no	—
366	C₂³×D₁₃	—	4	1	no	—
367	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
368	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×D₄×C₁₃	—	2	2	no	—
370	C₂×D₄×C₁₃	—	4	1	no	—
371	C₂×D₄×C₁₃	—	4	1	no	—
372	C₂²×C₄×C₁₃	—	2	2	no	—
373	C₂²×C₄×C₁₃	—	4	1	no	—
374	C₂²×C₄×C₁₃	—	4	1	no	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₂²⋊D₁₃	—	2	2	no	—
389	C₂×C₂²⋊D₁₃	—	2	2	no	—
390	C₂×C₂²⋊D₁₃	—	2	2	no	—
391	C₂×C₂²⋊D₁₃	—	4	1	no	—
392	C₂×C₂²⋊D₁₃	—	4	1	no	—
393	C₂×C₂²⋊D₁₃	#41	1	4	yes	—
394	C₂²×Dic₁₃	—	2	2	no	—
395	C₂²×Dic₁₃	—	2	2	no	—
396	C₂²×Dic₁₃	—	2	2	no	—
397	C₂²×Dic₁₃	—	4	1	no	—
398	C₂²×Dic₁₃	—	4	1	no	—
399	C₂²×Dic₁₃	—	4	1	no	—
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×D₁₃	—	2	2	no	—
415	C₂×C₄×D₁₃	—	2	2	no	—
416	C₂×C₄×D₁₃	—	2	2	no	—
417	C₂×C₄×D₁₃	—	2	2	no	—
418	C₂×C₄×D₁₃	—	2	2	no	—
419	C₂×C₄×D₁₃	—	2	2	no	—
420	C₂×C₄×D₁₃	—	2	2	no	—
421	C₂×C₄×D₁₃	—	4	1	no	—
422	C₂×C₄×D₁₃	—	4	1	no	—
423	C₂×C₄×D₁₃	—	4	1	no	—
424	C₂×C₄×D₁₃	—	4	1	no	—
425	C₂×C₄×D₁₃	—	4	1	no	—
426	C₂×C₄×D₁₃	—	4	1	no	—
427	C₂×C₄×D₁₃	—	4	1	no	—
428	C₂×C₄×D₁₃	—	4	1	no	—
429	C₂×C₄×D₁₃	—	4	1	no	—
430	C₂×C₄×D₁₃	#41	1	4	yes	—
431	C₂×C₄×D₁₃	#41	1	4	yes	—
432	C₂×Dic₂₆	—	2	2	no	—
433	C₂×Dic₂₆	—	4	1	no	—
434	C₂×Dic₂₆	—	4	1	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	2	2	no	—
437	C₁₃×C₄⋊C₄	—	4	1	no	—
438	C₁₃×C₄⋊C₄	—	4	1	no	—
439	C₁₃×C₄⋊C₄	—	4	1	no	—
440	C₁₃×C₄⋊C₄	—	4	1	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	4	1	no	—
447	C₁₃×C₂²⋊C₄	—	4	1	no	—
448	C₁₃×C₂²⋊C₄	—	4	1	no	—
449	C₁₃×C₂²⋊C₄	—	4	1	no	—
450	C₁₃×C₂²⋊C₄	—	4	1	no	—
451	C₁₃×C₂²⋊C₄	—	4	1	no	—
452	C₄²×C₁₃	—	4	1	no	—
453	C₄²×C₁₃	—	4	1	no	—
454	C₄²×C₁₃	—	4	1	no	—
455	C₄²×C₁₃	—	4	1	no	—
456	C₂²⋊Dic₁₃	—	2	2	no	—
457	C₂²⋊Dic₁₃	—	2	2	no	—
458	C₂²⋊Dic₁₃	—	2	2	no	—
459	C₂²⋊Dic₁₃	—	2	2	no	—
460	C₂²⋊Dic₁₃	—	2	2	no	—
461	C₂²⋊Dic₁₃	—	2	2	no	—
462	C₂²⋊Dic₁₃	—	4	1	no	—
463	C₂²⋊Dic₁₃	—	4	1	no	—
464	C₂²⋊Dic₁₃	—	4	1	no	—
465	C₂²⋊Dic₁₃	—	4	1	no	—
466	C₂²⋊Dic₁₃	—	4	1	no	—
467	#6103	—	2	2	no	—
468	#6103	—	2	2	no	—
469	#6103	—	2	2	no	—
470	#6103	—	2	2	no	—
471	#6103	—	2	2	no	—
472	#6103	—	2	2	no	—
473	#6103	—	2	2	no	—
474	#6103	—	2	2	no	—
475	#6103	—	2	2	no	—
476	#6103	—	2	2	no	—
477	#6103	—	2	2	no	—
478	#6103	—	2	2	no	—
479	#6103	—	2	2	no	—
480	#6103	—	4	1	no	—
481	#6103	—	4	1	no	—
482	#6103	—	4	1	no	—
483	#6103	—	4	1	no	—
484	#6103	—	4	1	no	—
485	#6103	—	4	1	no	—
486	#6103	—	4	1	no	—
487	C₄⋊Dic₁₃	—	2	2	no	—
488	C₄⋊Dic₁₃	—	2	2	no	—
489	C₄⋊Dic₁₃	—	2	2	no	—
490	C₄⋊Dic₁₃	—	4	1	no	—
491	C₄⋊Dic₁₃	—	4	1	no	—
492	C₄⋊Dic₁₃	—	4	1	no	—
493	#6101	—	2	2	no	—
494	#6101	—	2	2	no	—
495	#6101	—	2	2	no	—
496	#6101	—	2	2	no	—
497	#6101	—	2	2	no	—
498	#6101	—	2	2	no	—
499	#6101	—	2	2	no	—
500	#6101	—	2	2	no	—
501	#6101	—	2	2	no	—
502	#6101	—	4	1	no	—
503	#6101	—	4	1	no	—
504	#6101	—	4	1	no	—
505	#6101	—	4	1	no	—
506	#6101	—	4	1	no	—
507	#6101	—	4	1	no	—
508	#6101	—	4	1	no	—
509	#6101	—	4	1	no	—
510	#6101	—	4	1	no	—
511	C₄×Dic₁₃	—	2	2	no	—
512	C₄×Dic₁₃	—	2	2	no	—
513	C₄×Dic₁₃	—	2	2	no	—
514	C₄×Dic₁₃	—	2	2	no	—
515	C₄×Dic₁₃	—	2	2	no	—
516	C₄×Dic₁₃	—	2	2	no	—
517	C₄×Dic₁₃	—	4	1	no	—
518	C₄×Dic₁₃	—	4	1	no	—
519	C₄×Dic₁₃	—	4	1	no	—
520	C₄×Dic₁₃	—	4	1	no	—
521	C₄×Dic₁₃	—	4	1	no	—
522	C₄×Dic₁₃	—	4	1	no	—
523	C₄×Dic₁₃	—	4	1	no	—
524	#2866	—	13	1	no	—
525	#2865	—	13	1	no	—
526	#2853	—	13	1	no	—
527	#2852	—	13	1	no	—
528	#2654	—	13	1	no	—
529	#2653	—	13	1	no	—
530	#2650	—	13	1	no	—
531	#2649	—	13	1	no	—
532	#2597	D₁₃	1	1	yes	characteristic, complemented
533	#2596	—	13	1	no	—
534	#2595	—	13	1	no	—
535	#2594	—	13	1	no	—
536	#2569	—	13	1	no	—
537	#2564	—	13	1	no	—
538	#2561	—	13	1	no	—
539	#2534	—	13	1	no	—
540	#2525	—	13	1	no	—
541	#2516	—	13	1	no	—
542	#2493	—	13	1	no	—
543	#2480	—	13	1	no	—
544	#2469	—	13	1	no	—
545	#2458	—	13	1	no	—
546	#2419	—	13	1	no	—
547	#2418	—	13	1	no	—
548	#2322	—	13	1	no	—
549	#2321	—	13	1	no	—
550	#2313	—	13	1	no	—
551	#2312	—	13	1	no	—
552	C₄×C₂²⋊Q₈	—	13	1	no	—
553	C₂×#388	—	13	1	no	—
554	C₄²×D₄	—	13	1	no	—
555	C₂³×C₁₃	—	2	1	no	—
556	C₂³×C₁₃	—	2	1	no	—
557	C₂³×C₁₃	—	2	1	no	—
558	C₂³×C₁₃	—	2	1	no	—
559	C₂³×C₁₃	—	2	1	no	—
560	C₂³×C₁₃	—	2	1	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	2	1	no	—
563	C₂³×C₁₃	—	2	1	no	—
564	C₂³×C₁₃	—	2	1	no	—
565	C₂³×C₁₃	—	2	1	no	—
566	C₂³×C₁₃	—	2	1	no	—
567	C₂³×C₁₃	—	2	1	no	—
568	C₂³×C₁₃	C₂×#41	1	2	yes	—
569	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
570	C₂²×D₁₃	—	2	1	no	—
571	C₂²×D₁₃	—	2	1	no	—
572	C₂²×D₁₃	—	2	1	no	—
573	C₂²×D₁₃	—	2	1	no	—
574	C₂²×D₁₃	—	2	1	no	—
575	C₂²×D₁₃	—	2	1	no	—
576	C₂²×D₁₃	—	2	1	no	—
577	C₂²×D₁₃	—	2	1	no	—
578	C₂²×D₁₃	—	2	1	no	—
579	C₂²×D₁₃	—	2	1	no	—
580	C₂²×D₁₃	—	2	1	no	—
581	C₂²×D₁₃	—	4	4	no	—
582	C₂²×D₁₃	—	4	4	no	—
583	C₂²×D₁₃	—	4	4	no	—
584	C₂²×D₁₃	—	8	2	no	—
585	C₂²×D₁₃	—	8	2	no	—
586	C₂²×D₁₃	—	8	2	no	—
587	C₂²×D₁₃	—	8	2	no	—
588	C₂²×D₁₃	C₂×#41	1	2	yes	—
589	C₂²×D₁₃	C₂×#41	1	2	yes	—
590	C₂²×D₁₃	C₂×#41	1	2	yes	—
591	D₄×C₁₃	—	8	2	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	2	1	no	—
606	C₂×C₄×C₁₃	—	2	1	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	2	1	no	—
615	C₂×C₄×C₁₃	—	2	1	no	—
616	C₂×C₄×C₁₃	—	2	1	no	—
617	C₂×C₄×C₁₃	—	2	1	no	—
618	C₂×C₄×C₁₃	—	2	1	no	—
619	C₂×C₄×C₁₃	—	2	1	no	—
620	C₂×C₄×C₁₃	—	2	1	no	—
621	C₂×C₄×C₁₃	—	2	1	no	—
622	C₂×C₄×C₁₃	—	2	1	no	—
623	C₂×C₄×C₁₃	—	2	1	no	—
624	C₂×C₄×C₁₃	—	2	1	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	—	4	4	no	—
630	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
631	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
632	C₂²⋊D₁₃	—	2	8	no	—
633	C₂²⋊D₁₃	—	8	2	no	—
634	C₂×Dic₁₃	—	2	1	no	—
635	C₂×Dic₁₃	—	2	1	no	—
636	C₂×Dic₁₃	—	2	1	no	—
637	C₂×Dic₁₃	—	2	1	no	—
638	C₂×Dic₁₃	—	2	1	no	—
639	C₂×Dic₁₃	—	2	1	no	—
640	C₂×Dic₁₃	—	2	1	no	—
641	C₂×Dic₁₃	—	2	1	no	—
642	C₂×Dic₁₃	—	2	1	no	—
643	C₂×Dic₁₃	—	2	1	no	—
644	C₂×Dic₁₃	—	2	1	no	—
645	C₂×Dic₁₃	—	2	1	no	—
646	C₂×Dic₁₃	—	2	1	no	—
647	C₂×Dic₁₃	—	2	1	no	—
648	C₂×Dic₁₃	—	2	1	no	—
649	C₂×Dic₁₃	—	2	1	no	—
650	C₂×Dic₁₃	—	2	1	no	—
651	C₂×Dic₁₃	—	2	1	no	—
652	C₂×Dic₁₃	—	2	1	no	—
653	C₂×Dic₁₃	—	2	1	no	—
654	C₂×Dic₁₃	—	2	1	no	—
655	C₂×Dic₁₃	—	2	1	no	—
656	C₂×Dic₁₃	—	2	1	no	—
657	C₂×Dic₁₃	—	2	1	no	—
658	C₂×Dic₁₃	—	2	1	no	—
659	C₂×Dic₁₃	—	2	1	no	—
660	C₂×Dic₁₃	—	2	1	no	—
661	C₂×Dic₁₃	—	2	1	no	—
662	C₂×Dic₁₃	—	2	1	no	—
663	C₂×Dic₁₃	—	2	1	no	—
664	C₂×Dic₁₃	—	2	1	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	—	4	4	no	—
673	C₂×Dic₁₃	—	4	4	no	—
674	C₂×Dic₁₃	C₂×#41	1	2	yes	—
675	C₂×Dic₁₃	C₂×#41	1	2	yes	—
676	C₂×Dic₁₃	C₂×#41	1	2	yes	—
677	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
678	C₄×D₁₃	—	4	4	no	—
679	C₄×D₁₃	—	4	4	no	—
680	C₄×D₁₃	—	4	4	no	—
681	C₄×D₁₃	—	4	4	no	—
682	C₄×D₁₃	—	8	2	no	—
683	C₄×D₁₃	—	8	2	no	—
684	Dic₂₆	—	4	4	no	—
685	C₂×#126	—	13	1	no	—
686	C₂×#123	—	13	1	no	—
687	C₂×#123	—	13	1	no	—
688	C₂×C₂²⋊Q₈	—	13	1	no	—
689	C₂×#120	—	13	1	no	—
690	C₂×C₄×Q₈	—	13	1	no	—
691	C₂×C₄×D₄	—	13	1	no	—
692	C₂×C₄×D₄	—	13	1	no	—
693	C₂×C₄×D₄	—	13	1	no	—
694	C₂²×C₄⋊C₄	—	13	1	no	—
695	C₂²×C₂²⋊C₄	—	13	1	no	—
696	C₂²×C₂²⋊C₄	—	13	1	no	—
697	C₂²×C₂²⋊C₄	—	13	1	no	—
698	C₂²×C₄²	—	13	1	no	—
699	C₂²×C₄²	—	13	1	no	—
700	#401	—	13	1	no	—
701	#400	—	13	1	no	—
702	#400	—	13	1	no	—
703	#400	—	13	1	no	—
704	#400	—	13	1	no	—
705	#400	—	13	1	no	—
706	#400	—	13	1	no	—
707	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
708	#399	—	13	1	no	—
709	#399	—	13	1	no	—
710	#398	—	13	1	no	—
711	#398	—	13	1	no	—
712	#398	—	13	1	no	—
713	#397	—	13	1	no	—
714	#397	—	13	1	no	—
715	#397	—	13	1	no	—
716	#397	—	13	1	no	—
717	#397	—	13	1	no	—
718	#397	—	13	1	no	—
719	#397	C₂×D₁₃	1	1	yes	characteristic
720	#397	C₂×D₁₃	1	1	yes	characteristic, complemented
721	#396	—	13	1	no	—
722	#396	—	13	1	no	—
723	#396	—	13	1	no	—
724	#395	—	13	1	no	—
725	#394	—	13	1	no	—
726	#394	—	13	1	no	—
727	#394	—	13	1	no	—
728	#394	C₂×D₁₃	1	1	yes	characteristic
729	#393	—	13	1	no	—
730	#393	—	13	1	no	—
731	#393	—	13	1	no	—
732	#391	—	13	1	no	—
733	#390	—	13	1	no	—
734	#390	C₂×D₁₃	1	1	yes	characteristic
735	#389	—	13	1	no	—
736	#389	—	13	1	no	—
737	#389	—	13	1	no	—
738	#388	—	13	1	no	—
739	#388	—	13	1	no	—
740	#388	—	13	1	no	—
741	#388	—	13	1	no	—
742	#388	—	13	1	no	—
743	#388	—	13	1	no	—
744	#388	—	13	1	no	—
745	#388	—	13	1	no	—
746	#388	—	13	1	no	—
747	#388	—	13	1	no	—
748	#388	—	13	1	no	—
749	#388	—	13	1	no	—
750	#388	—	13	1	no	—
751	#388	—	13	1	no	—
752	#388	—	13	1	no	—
753	#388	—	13	1	no	—
754	#388	—	13	1	no	—
755	#388	—	13	1	no	—
756	#388	—	13	1	no	—
757	#388	—	13	1	no	—
758	#388	—	13	1	no	—
759	#388	—	13	1	no	—
760	#388	—	13	1	no	—
761	#388	—	13	1	no	—
762	#388	—	13	1	no	—
763	#388	—	13	1	no	—
764	#388	—	13	1	no	—
765	#388	—	13	1	no	—
766	#388	—	13	1	no	—
767	#388	C₂×D₁₃	1	1	yes	characteristic
768	#388	C₂×D₁₃	1	1	yes	characteristic
769	#388	C₂×D₁₃	1	1	yes	characteristic
770	#388	C₂×D₁₃	1	1	yes	characteristic, complemented
771	#387	—	13	1	no	—
772	#387	—	13	1	no	—
773	#387	—	13	1	no	—
774	#387	—	13	1	no	—
775	#387	—	13	1	no	—
776	#387	—	13	1	no	—
777	#387	—	13	1	no	—
778	#387	—	13	1	no	—
779	#387	—	13	1	no	—
780	#387	—	13	1	no	—
781	#387	—	13	1	no	—
782	#387	—	13	1	no	—
783	#387	—	13	1	no	—
784	#387	—	13	1	no	—
785	#387	—	13	1	no	—
786	#387	—	13	1	no	—
787	#387	—	13	1	no	—
788	#387	—	13	1	no	—
789	#387	—	13	1	no	—
790	#387	—	13	1	no	—
791	#387	—	13	1	no	—
792	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
793	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
794	#386	—	13	1	no	—
795	#386	—	13	1	no	—
796	#386	—	13	1	no	—
797	#386	—	13	1	no	—
798	#386	—	13	1	no	—
799	#386	—	13	1	no	—
800	#386	C₂×D₁₃	1	1	yes	characteristic
801	#385	—	13	1	no	—
802	#385	—	13	1	no	—
803	#385	—	13	1	no	—
804	#385	—	13	1	no	—
805	#385	—	13	1	no	—
806	#385	—	13	1	no	—
807	#385	—	13	1	no	—
808	#385	—	13	1	no	—
809	#385	C₂×D₁₃	1	1	yes	characteristic, complemented
810	#383	—	13	1	no	—
811	#381	—	13	1	no	—
812	#381	—	13	1	no	—
813	#381	—	13	1	no	—
814	#381	—	13	1	no	—
815	#380	—	13	1	no	—
816	#380	—	13	1	no	—
817	#380	—	13	1	no	—
818	#380	—	13	1	no	—
819	#380	—	13	1	no	—
820	#379	—	13	1	no	—
821	#379	—	13	1	no	—
822	#379	—	13	1	no	—
823	C₄×C₄⋊C₄	—	13	1	no	—
824	C₄×C₄⋊C₄	—	13	1	no	—
825	C₄×C₄⋊C₄	—	13	1	no	—
826	C₄×C₄⋊C₄	—	13	1	no	—
827	C₄×C₄⋊C₄	—	13	1	no	—
828	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
829	C₄×C₂²⋊C₄	—	13	1	no	—
830	C₄×C₂²⋊C₄	—	13	1	no	—
831	C₄×C₂²⋊C₄	—	13	1	no	—
832	C₄×C₂²⋊C₄	—	13	1	no	—
833	C₄×C₂²⋊C₄	—	13	1	no	—
834	C₄×C₂²⋊C₄	—	13	1	no	—
835	C₄×C₂²⋊C₄	—	13	1	no	—
836	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
837	C₂×#95	—	13	1	no	—
838	C₂×#95	—	13	1	no	—
839	C₄³	—	13	1	no	—
840	C₂²×C₁₃	—	2	2	no	—
841	C₂²×C₁₃	—	2	2	no	—
842	C₂²×C₁₃	—	2	2	no	—
843	C₂²×C₁₃	—	4	1	no	—
844	C₂²×C₁₃	—	4	1	no	—
845	C₂²×C₁₃	—	4	1	no	—
846	C₂²×C₁₃	—	4	1	no	—
847	C₂²×C₁₃	—	4	1	no	—
848	C₂²×C₁₃	—	4	1	no	—
849	C₂²×C₁₃	—	4	1	no	—
850	C₂²×C₁₃	—	4	1	no	—
851	C₂²×C₁₃	—	4	1	no	—
852	C₂²×C₁₃	—	4	1	no	—
853	C₂²×C₁₃	—	4	1	no	—
854	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
855	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
856	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
857	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
858	C₂²×C₁₃	#585	1	1	yes	characteristic
859	C₂²×C₁₃	#585	1	1	yes	characteristic
860	C₂²×C₁₃	#585	1	1	yes	characteristic
861	C₂×D₁₃	—	2	2	no	—
862	C₂×D₁₃	—	2	2	no	—
863	C₂×D₁₃	—	2	2	no	—
864	C₂×D₁₃	—	2	2	no	—
865	C₂×D₁₃	—	2	2	no	—
866	C₂×D₁₃	—	2	2	no	—
867	C₂×D₁₃	—	4	1	no	—
868	C₂×D₁₃	—	4	1	no	—
869	C₂×D₁₃	—	4	1	no	—
870	C₂×D₁₃	—	4	1	no	—
871	C₂×D₁₃	—	4	1	no	—
872	C₂×D₁₃	—	4	1	no	—
873	C₂×D₁₃	—	4	1	no	—
874	C₂×D₁₃	—	8	8	no	—
875	C₂×D₁₃	#529	1	4	yes	—
876	C₄×C₁₃	—	2	2	no	—
877	C₄×C₁₃	—	2	2	no	—
878	C₄×C₁₃	—	4	1	no	—
879	C₄×C₁₃	—	4	1	no	—
880	C₄×C₁₃	—	4	1	no	—
881	C₄×C₁₃	—	4	1	no	—
882	C₄×C₁₃	—	4	1	no	—
883	C₄×C₁₃	—	4	1	no	—
884	C₄×C₁₃	—	4	1	no	—
885	C₄×C₁₃	—	4	1	no	—
886	C₄×C₁₃	—	4	1	no	—
887	C₄×C₁₃	—	4	1	no	—
888	C₄×C₁₃	—	4	1	no	—
889	Dic₁₃	—	2	2	no	—
890	Dic₁₃	—	2	2	no	—
891	Dic₁₃	—	2	2	no	—
892	Dic₁₃	—	2	2	no	—
893	Dic₁₃	—	4	1	no	—
894	Dic₁₃	—	4	1	no	—
895	Dic₁₃	—	4	1	no	—
896	Dic₁₃	—	4	1	no	—
897	Dic₁₃	—	4	1	no	—
898	Dic₁₃	—	4	1	no	—
899	Dic₁₃	—	4	1	no	—
900	Dic₁₃	—	4	1	no	—
901	Dic₁₃	—	4	1	no	—
902	Dic₁₃	—	4	1	no	—
903	C₂⁵	—	13	1	no	—
904	C₂²×Q₈	—	13	1	no	—
905	C₂²×D₄	—	13	1	no	—
906	C₂²×D₄	—	13	1	no	—
907	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
908	C₂³×C₄	—	13	1	no	—
909	C₂³×C₄	—	13	1	no	—
910	C₂³×C₄	—	13	1	no	—
911	C₂³×C₄	—	13	1	no	—
912	C₂³×C₄	—	13	1	no	—
913	C₂³×C₄	—	13	1	no	—
914	C₂³×C₄	—	13	1	no	—
915	C₂³×C₄	—	13	1	no	—
916	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
917	#126	—	52	2	no	—
918	#123	—	26	4	no	—
919	#123	—	52	2	no	—
920	C₂²⋊Q₈	—	26	4	no	—
921	#120	—	26	4	no	—
922	C₄×Q₈	—	52	2	no	—
923	C₄×D₄	—	26	4	no	—
924	C₄×D₄	—	26	4	no	—
925	C₄×D₄	—	26	4	no	—
926	C₂×C₄⋊C₄	—	13	1	no	—
927	C₂×C₄⋊C₄	—	13	1	no	—
928	C₂×C₄⋊C₄	—	13	1	no	—
929	C₂×C₄⋊C₄	—	13	1	no	—
930	C₂×C₄⋊C₄	—	13	1	no	—
931	C₂×C₄⋊C₄	—	13	1	no	—
932	C₂×C₄⋊C₄	—	13	1	no	—
933	C₂×C₄⋊C₄	—	13	1	no	—
934	C₂×C₄⋊C₄	—	13	1	no	—
935	C₂×C₄⋊C₄	—	13	1	no	—
936	C₂×C₄⋊C₄	—	13	1	no	—
937	C₂×C₄⋊C₄	—	13	1	no	—
938	C₂×C₄⋊C₄	—	13	1	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	1	no	—
941	C₂×C₄⋊C₄	—	13	1	no	—
942	C₂×C₄⋊C₄	—	13	1	no	—
943	C₂×C₄⋊C₄	—	13	1	no	—
944	C₂×C₄⋊C₄	—	13	1	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	1	no	—
947	C₂×C₄⋊C₄	—	13	1	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	1	no	—
950	C₂×C₄⋊C₄	—	26	4	no	—
951	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
957	C₂×C₂²⋊C₄	—	13	1	no	—
958	C₂×C₂²⋊C₄	—	13	1	no	—
959	C₂×C₂²⋊C₄	—	13	1	no	—
960	C₂×C₂²⋊C₄	—	13	1	no	—
961	C₂×C₂²⋊C₄	—	13	1	no	—
962	C₂×C₂²⋊C₄	—	13	1	no	—
963	C₂×C₂²⋊C₄	—	13	1	no	—
964	C₂×C₂²⋊C₄	—	13	1	no	—
965	C₂×C₂²⋊C₄	—	13	1	no	—
966	C₂×C₂²⋊C₄	—	13	1	no	—
967	C₂×C₂²⋊C₄	—	13	1	no	—
968	C₂×C₂²⋊C₄	—	13	1	no	—
969	C₂×C₂²⋊C₄	—	13	1	no	—
970	C₂×C₂²⋊C₄	—	13	1	no	—
971	C₂×C₂²⋊C₄	—	13	1	no	—
972	C₂×C₂²⋊C₄	—	13	1	no	—
973	C₂×C₂²⋊C₄	—	13	1	no	—
974	C₂×C₂²⋊C₄	—	13	1	no	—
975	C₂×C₂²⋊C₄	—	13	1	no	—
976	C₂×C₂²⋊C₄	—	13	1	no	—
977	C₂×C₂²⋊C₄	—	13	1	no	—
978	C₂×C₂²⋊C₄	—	13	1	no	—
979	C₂×C₂²⋊C₄	—	13	1	no	—
980	C₂×C₂²⋊C₄	—	13	1	no	—
981	C₂×C₂²⋊C₄	—	13	1	no	—
982	C₂×C₂²⋊C₄	—	13	1	no	—
983	C₂×C₂²⋊C₄	—	13	1	no	—
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	1	no	—
987	C₂×C₂²⋊C₄	—	13	1	no	—
988	C₂×C₂²⋊C₄	—	26	4	no	—
989	C₂×C₂²⋊C₄	—	26	4	no	—
990	C₂×C₂²⋊C₄	—	52	2	no	—
991	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
996	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
997	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
998	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₂×C₄²	—	13	1	no	—
1003	C₂×C₄²	—	13	1	no	—
1004	C₂×C₄²	—	13	1	no	—
1005	C₂×C₄²	—	13	1	no	—
1006	C₂×C₄²	—	13	1	no	—
1007	C₂×C₄²	—	13	1	no	—
1008	C₂×C₄²	—	13	1	no	—
1009	C₂×C₄²	—	13	1	no	—
1010	C₂×C₄²	—	13	1	no	—
1011	C₂×C₄²	—	13	1	no	—
1012	C₂×C₄²	—	13	1	no	—
1013	C₂×C₄²	—	13	1	no	—
1014	C₂×C₄²	—	13	1	no	—
1015	C₂×C₄²	—	52	2	no	—
1016	C₂×C₄²	—	52	2	no	—
1017	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1021	#95	—	13	1	no	—
1022	#95	—	13	1	no	—
1023	#95	—	13	1	no	—
1024	#95	—	13	1	no	—
1025	#95	—	13	1	no	—
1026	#95	—	13	1	no	—
1027	#95	—	13	1	no	—
1028	#95	—	13	1	no	—
1029	#95	—	13	1	no	—
1030	#95	—	13	1	no	—
1031	#95	—	13	1	no	—
1032	#95	—	13	1	no	—
1033	#95	—	13	1	no	—
1034	#95	—	13	1	no	—
1035	#95	—	13	1	no	—
1036	#95	—	13	1	no	—
1037	#95	—	13	1	no	—
1038	#95	—	13	1	no	—
1039	#95	—	13	1	no	—
1040	#95	—	13	1	no	—
1041	#95	—	13	1	no	—
1042	#95	—	13	1	no	—
1043	#95	—	13	1	no	—
1044	#95	—	13	1	no	—
1045	#95	—	13	1	no	—
1046	#95	—	13	1	no	—
1047	#95	—	13	1	no	—
1048	#95	—	13	1	no	—
1049	#95	—	13	1	no	—
1050	#95	—	13	1	no	—
1051	#95	—	13	1	no	—
1052	#95	—	13	1	no	—
1053	#95	—	13	1	no	—
1054	#95	—	13	1	no	—
1055	#95	—	13	1	no	—
1056	#95	—	13	1	no	—
1057	#95	—	13	1	no	—
1058	#95	—	13	1	no	—
1059	#95	—	13	1	no	—
1060	#95	—	13	1	no	—
1061	#95	C₂²×D₁₃	1	1	yes	characteristic
1062	#95	C₂²×D₁₃	1	1	yes	characteristic
1063	#95	C₂²×D₁₃	1	1	yes	characteristic
1064	#95	C₂²×D₁₃	1	1	yes	characteristic
1065	#95	C₂²×D₁₃	1	1	yes	characteristic
1066	#95	C₂²×D₁₃	1	1	yes	characteristic
1067	#95	C₂²×D₁₃	1	1	yes	characteristic
1068	#95	C₂²×D₁₃	1	1	yes	characteristic
1069	#95	C₂²×D₁₃	1	1	yes	characteristic
1070	#95	C₂²×D₁₃	1	1	yes	characteristic
1071	#95	C₂²×D₁₃	1	1	yes	characteristic
1072	#95	C₂²×D₁₃	1	1	yes	characteristic
1073	C₂×C₁₃	—	4	2	no	—
1074	C₂×C₁₃	—	8	1	no	—
1075	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1076	C₂×C₁₃	#3455	1	1	yes	characteristic
1077	C₂×C₁₃	#3459	1	1	yes	characteristic
1078	C₂×C₁₃	#3505	1	1	yes	characteristic
1079	C₂×C₁₃	#3510	1	1	yes	characteristic
1080	C₂×C₁₃	#3513	1	1	yes	characteristic
1081	C₂×C₁₃	#3521	1	1	yes	characteristic
1082	D₁₃	—	2	4	no	—
1083	D₁₃	—	8	1	no	—
1084	C₂⁴	—	13	1	no	—
1085	C₂⁴	—	13	1	no	—
1086	C₂⁴	—	26	2	no	—
1087	C₂⁴	—	26	2	no	—
1088	C₂⁴	—	26	2	no	—
1089	C₂⁴	—	52	1	no	—
1090	C₂⁴	—	52	1	no	—
1091	C₂⁴	—	52	1	no	—
1092	C₂⁴	—	52	1	no	—
1093	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1094	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1095	C₂×Q₈	—	26	2	no	—
1096	C₂×Q₈	—	52	1	no	—
1097	C₂×Q₈	—	52	1	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	4	1	no	—
1100	C₂×D₄	—	4	1	no	—
1101	C₂×D₄	—	13	4	no	—
1102	C₂×D₄	—	26	2	no	—
1103	C₂×D₄	—	26	2	no	—
1104	C₂×D₄	—	26	2	no	—
1105	C₂×D₄	—	52	1	no	—
1106	C₂×D₄	—	52	1	no	—
1107	C₂²×C₄	—	2	2	no	—
1108	C₂²×C₄	—	4	1	no	—
1109	C₂²×C₄	—	4	1	no	—
1110	C₂²×C₄	—	13	1	no	—
1111	C₂²×C₄	—	13	1	no	—
1112	C₂²×C₄	—	13	1	no	—
1113	C₂²×C₄	—	13	1	no	—
1114	C₂²×C₄	—	13	4	no	—
1115	C₂²×C₄	—	13	4	no	—
1116	C₂²×C₄	—	13	1	no	—
1117	C₂²×C₄	—	13	1	no	—
1118	C₂²×C₄	—	13	1	no	—
1119	C₂²×C₄	—	13	1	no	—
1120	C₂²×C₄	—	13	1	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	1	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	1	no	—
1125	C₂²×C₄	—	13	1	no	—
1126	C₂²×C₄	—	26	2	no	—
1127	C₂²×C₄	—	26	2	no	—
1128	C₂²×C₄	—	26	2	no	—
1129	C₂²×C₄	—	26	2	no	—
1130	C₂²×C₄	—	26	2	no	—
1131	C₂²×C₄	—	26	2	no	—
1132	C₂²×C₄	—	26	2	no	—
1133	C₂²×C₄	—	26	2	no	—
1134	C₂²×C₄	—	26	2	no	—
1135	C₂²×C₄	—	26	2	no	—
1136	C₂²×C₄	—	52	1	no	—
1137	C₂²×C₄	—	52	1	no	—
1138	C₂²×C₄	—	52	1	no	—
1139	C₂²×C₄	—	52	1	no	—
1140	C₂²×C₄	—	52	1	no	—
1141	C₂²×C₄	—	52	1	no	—
1142	C₂²×C₄	—	52	1	no	—
1143	C₂²×C₄	—	52	1	no	—
1144	C₂²×C₄	—	52	1	no	—
1145	C₂²×C₄	—	52	1	no	—
1146	C₂²×C₄	—	52	1	no	—
1147	C₂²×C₄	—	52	1	no	—
1148	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	4	1	no	—
1164	C₄⋊C₄	—	4	1	no	—
1165	C₄⋊C₄	—	4	1	no	—
1166	C₄⋊C₄	—	4	1	no	—
1167	C₄⋊C₄	—	26	2	no	—
1168	C₄⋊C₄	—	26	2	no	—
1169	C₄⋊C₄	—	26	2	no	—
1170	C₄⋊C₄	—	26	2	no	—
1171	C₄⋊C₄	—	26	2	no	—
1172	C₄⋊C₄	—	26	2	no	—
1173	C₄⋊C₄	—	26	2	no	—
1174	C₄⋊C₄	—	26	2	no	—
1175	C₄⋊C₄	—	26	2	no	—
1176	C₄⋊C₄	—	26	2	no	—
1177	C₄⋊C₄	—	26	2	no	—
1178	C₄⋊C₄	—	26	2	no	—
1179	C₄⋊C₄	—	52	1	no	—
1180	C₄⋊C₄	—	52	1	no	—
1181	C₄⋊C₄	—	52	1	no	—
1182	C₄⋊C₄	—	52	1	no	—
1183	C₄⋊C₄	—	52	1	no	—
1184	C₄⋊C₄	—	52	1	no	—
1185	C₄⋊C₄	—	52	1	no	—
1186	C₄⋊C₄	—	52	1	no	—
1187	C₄⋊C₄	—	52	1	no	—
1188	C₄⋊C₄	—	52	1	no	—
1189	C₄⋊C₄	—	52	1	no	—
1190	C₄⋊C₄	—	52	1	no	—
1191	C₂²⋊C₄	—	2	2	no	—
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	4	1	no	—
1198	C₂²⋊C₄	—	4	1	no	—
1199	C₂²⋊C₄	—	4	1	no	—
1200	C₂²⋊C₄	—	4	1	no	—
1201	C₂²⋊C₄	—	4	1	no	—
1202	C₂²⋊C₄	—	26	2	no	—
1203	C₂²⋊C₄	—	26	2	no	—
1204	C₂²⋊C₄	—	26	2	no	—
1205	C₂²⋊C₄	—	26	2	no	—
1206	C₂²⋊C₄	—	26	2	no	—
1207	C₂²⋊C₄	—	26	2	no	—
1208	C₂²⋊C₄	—	26	2	no	—
1209	C₂²⋊C₄	—	26	2	no	—
1210	C₂²⋊C₄	—	26	2	no	—
1211	C₂²⋊C₄	—	26	2	no	—
1212	C₂²⋊C₄	—	26	2	no	—
1213	C₂²⋊C₄	—	26	2	no	—
1214	C₂²⋊C₄	—	26	2	no	—
1215	C₂²⋊C₄	—	26	2	no	—
1216	C₂²⋊C₄	—	26	2	no	—
1217	C₂²⋊C₄	—	26	2	no	—
1218	C₂²⋊C₄	—	26	2	no	—
1219	C₂²⋊C₄	—	26	2	no	—
1220	C₂²⋊C₄	—	26	2	no	—
1221	C₂²⋊C₄	—	52	1	no	—
1222	C₂²⋊C₄	—	52	1	no	—
1223	C₂²⋊C₄	—	52	1	no	—
1224	C₂²⋊C₄	—	52	1	no	—
1225	C₂²⋊C₄	—	52	1	no	—
1226	C₂²⋊C₄	—	52	1	no	—
1227	C₂²⋊C₄	—	52	1	no	—
1228	C₂²⋊C₄	—	52	1	no	—
1229	C₂²⋊C₄	—	52	1	no	—
1230	C₂²⋊C₄	—	52	1	no	—
1231	C₂²⋊C₄	—	52	1	no	—
1232	C₂²⋊C₄	—	52	1	no	—
1233	C₄²	—	4	1	no	—
1234	C₄²	—	4	1	no	—
1235	C₄²	—	4	1	no	—
1236	C₄²	—	4	1	no	—
1237	C₄²	—	26	2	no	—
1238	C₄²	—	26	2	no	—
1239	C₄²	—	26	2	no	—
1240	C₄²	—	26	2	no	—
1241	C₄²	—	26	2	no	—
1242	C₄²	—	26	2	no	—
1243	C₄²	—	52	1	no	—
1244	C₄²	—	52	1	no	—
1245	C₄²	—	52	1	no	—
1246	C₄²	—	52	1	no	—
1247	C₄²	—	52	1	no	—
1248	C₄²	—	52	1	no	—
1249	C₄²	—	52	1	no	—
1250	C₁₃	#35027	1	1	yes	characteristic, complemented, Sylow
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	13	2	no	—
1265	C₂³	—	13	2	no	—
1266	C₂³	—	13	2	no	—
1267	C₂³	—	26	1	no	—
1268	C₂³	—	26	1	no	—
1269	C₂³	—	26	1	no	—
1270	C₂³	—	26	1	no	—
1271	C₂³	—	26	1	no	—
1272	C₂³	—	26	1	no	—
1273	C₂³	—	26	1	no	—
1274	C₂³	—	26	1	no	—
1275	C₂³	—	26	1	no	—
1276	C₂³	—	26	1	no	—
1277	C₂³	—	26	1	no	—
1278	C₂³	—	52	4	no	—
1279	C₂³	—	52	4	no	—
1280	C₂³	—	52	4	no	—
1281	C₂³	—	104	2	no	—
1282	C₂³	—	104	2	no	—
1283	C₂³	—	104	2	no	—
1284	C₂³	—	104	2	no	—
1285	C₂³	#41×D₁₃	1	2	yes	—
1286	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1287	Q₈	—	52	4	no	—
1288	D₄	—	8	2	no	—
1289	D₄	—	26	8	no	—
1290	D₄	—	104	2	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	4	4	no	—
1329	C₂×C₄	—	13	2	no	—
1330	C₂×C₄	—	13	2	no	—
1331	C₂×C₄	—	13	2	no	—
1332	C₂×C₄	—	13	2	no	—
1333	C₂×C₄	—	26	1	no	—
1334	C₂×C₄	—	26	1	no	—
1335	C₂×C₄	—	26	1	no	—
1336	C₂×C₄	—	26	1	no	—
1337	C₂×C₄	—	26	1	no	—
1338	C₂×C₄	—	26	1	no	—
1339	C₂×C₄	—	26	1	no	—
1340	C₂×C₄	—	26	1	no	—
1341	C₂×C₄	—	26	1	no	—
1342	C₂×C₄	—	26	1	no	—
1343	C₂×C₄	—	26	1	no	—
1344	C₂×C₄	—	26	1	no	—
1345	C₂×C₄	—	26	1	no	—
1346	C₂×C₄	—	26	1	no	—
1347	C₂×C₄	—	26	1	no	—
1348	C₂×C₄	—	26	1	no	—
1349	C₂×C₄	—	26	1	no	—
1350	C₂×C₄	—	26	1	no	—
1351	C₂×C₄	—	26	1	no	—
1352	C₂×C₄	—	26	1	no	—
1353	C₂×C₄	—	26	1	no	—
1354	C₂×C₄	—	26	1	no	—
1355	C₂×C₄	—	26	1	no	—
1356	C₂×C₄	—	26	1	no	—
1357	C₂×C₄	—	26	1	no	—
1358	C₂×C₄	—	26	1	no	—
1359	C₂×C₄	—	26	1	no	—
1360	C₂×C₄	—	26	1	no	—
1361	C₂×C₄	—	26	1	no	—
1362	C₂×C₄	—	26	1	no	—
1363	C₂×C₄	—	26	1	no	—
1364	C₂×C₄	—	26	1	no	—
1365	C₂×C₄	—	26	1	no	—
1366	C₂×C₄	—	26	1	no	—
1367	C₂×C₄	—	26	1	no	—
1368	C₂×C₄	—	26	1	no	—
1369	C₂×C₄	—	26	1	no	—
1370	C₂×C₄	—	26	1	no	—
1371	C₂×C₄	—	52	4	no	—
1372	C₂×C₄	—	52	4	no	—
1373	C₂×C₄	—	52	4	no	—
1374	C₂×C₄	—	52	4	no	—
1375	C₂×C₄	—	52	4	no	—
1376	C₂×C₄	—	52	4	no	—
1377	C₂×C₄	—	104	2	no	—
1378	C₂×C₄	—	104	2	no	—
1379	C₂×C₄	#41×D₁₃	1	2	yes	—
1380	C₂×C₄	#41×D₁₃	1	2	yes	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	4	1	no	—
1385	C₂²	—	4	1	no	—
1386	C₂²	—	4	1	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	1	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	13	4	no	—
1396	C₂²	—	26	2	no	—
1397	C₂²	—	26	2	no	—
1398	C₂²	—	26	2	no	—
1399	C₂²	—	26	2	no	—
1400	C₂²	—	26	2	no	—
1401	C₂²	—	26	2	no	—
1402	C₂²	—	52	1	no	—
1403	C₂²	—	52	1	no	—
1404	C₂²	—	52	1	no	—
1405	C₂²	—	52	1	no	—
1406	C₂²	—	52	1	no	—
1407	C₂²	—	52	1	no	—
1408	C₂²	—	52	1	no	—
1409	C₂²	—	104	8	no	—
1410	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1411	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1412	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1413	C₂²	#11719648	1	1	yes	characteristic
1414	C₂²	#11719648	1	1	yes	characteristic
1415	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1416	C₂²	#11719650	1	1	yes	characteristic
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	26	2	no	—
1431	C₄	—	26	2	no	—
1432	C₄	—	26	2	no	—
1433	C₄	—	26	2	no	—
1434	C₄	—	52	1	no	—
1435	C₄	—	52	1	no	—
1436	C₄	—	52	1	no	—
1437	C₄	—	52	1	no	—
1438	C₄	—	52	1	no	—
1439	C₄	—	52	1	no	—
1440	C₄	—	52	1	no	—
1441	C₄	—	52	1	no	—
1442	C₄	—	52	1	no	—
1443	C₄	—	52	1	no	—
1444	C₂	—	4	2	no	—
1445	C₂	—	8	1	no	—
1446	C₂	—	26	4	no	—
1447	C₂	—	104	1	no	—
1448	C₂	D₁₃×#529	1	1	yes	characteristic
1449	C₂	#13128219	1	1	yes	characteristic
1450	C₂	#13128247	1	1	yes	characteristic
1451	C₂	#13128669	1	1	yes	characteristic
1452	C₂	#13128729	1	1	yes	characteristic
1453	C₂	#13128767	1	1	yes	characteristic
1454	C₂	#13128901	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2597	C₂
prime radical	C₂×#88191	C₂²
hypercenter	#2597	D₁₃
hypocenter	C₁₃	#35027
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2597

Complements

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

N	H ≅ G/N	type
1. #13123229	C₂	semidirect
2. #13123224	C₂	semidirect
3. #13123161	C₂	semidirect
4. #13123149	C₂	semidirect
5. #13120921	C₂	semidirect
6. #13120894	C₂	semidirect
7. #13120861	C₂	semidirect
8. #13120834	C₂	semidirect
9. #13120374	C₂	semidirect
10. #13120351	C₂	semidirect
11. #13120342	C₂	semidirect
12. #13120058	C₂	semidirect
13. #13120021	C₂	semidirect
14. #13119992	C₂	semidirect
16. #13119598	C₂	semidirect
17. #13119467	C₂	semidirect
18. #13119222	C₂	semidirect
19. #13119075	C₂	semidirect
20. #13118922	C₂	semidirect
21. #13118755	C₂	semidirect
22. #13118308	C₂	semidirect
24. #13117506	C₂	semidirect
26. #13117435	C₂	semidirect
27. #13117430	C₂	semidirect
28. C₄×#88150	C₂	semidirect
29. D₁₃×#388	C₂	semidirect
30. C₄×#88135	C₂	semidirect
31. C₁₃×#2597	C₂	semidirect
34. C₂²×C₄×Dic₁₃	C₂²	semidirect
46. C₂×C₄×Dic₂₆	C₂²	semidirect
47. C₁₃×#400	C₂²	semidirect
49. C₁₃×#397	C₂²	semidirect
55. C₁₃×#388	C₂²	semidirect
56. C₁₃×#387	C₂²	semidirect
57. C₁₃×#387	C₂²	semidirect
59. C₁₃×#385	C₂²	semidirect
60. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
61. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
66. #11718871	C₂²	semidirect
77. #11718645	C₂²	semidirect
78. #11718643	C₂²	semidirect
79. #11718642	C₂²	semidirect
80. #11718642	C₂²	semidirect
81. #11718642	C₂²	semidirect
82. #11718642	C₂²	semidirect
83. #11718641	C₂²	semidirect
84. #11718640	C₂²	semidirect
85. #11718639	C₂²	semidirect
86. #11718639	C₂²	semidirect
87. #11718633	C₂²	semidirect
88. #11718633	C₂²	semidirect
100. #11718613	C₂²	semidirect
104. #11718611	C₂²	semidirect
106. #11718610	C₂²	semidirect
109. #11718608	C₂²	semidirect
110. #11718607	C₂²	semidirect
111. #11718607	C₂²	semidirect
117. #11718606	C₂²	semidirect
122. #11718604	C₂²	semidirect
123. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
124. C₂²⋊C₄×Dic₁₃	C₂²	semidirect
132. #11718594	C₂²	semidirect
133. #11718594	C₂²	semidirect
134. C₄×#6101	C₂²	semidirect
135. C₄×#6101	C₂²	semidirect
136. C₄×#6101	C₂²	semidirect
137. C₄²×Dic₁₃	C₂²	semidirect
138. #11718589	C₂²	semidirect
163. C₁₃⋊#401	C₂²	semidirect
164. #11718321	C₂²	semidirect
165. #11718320	C₂²	semidirect
166. #11718319	C₂²	semidirect
167. #11718319	C₂²	semidirect
168. #11718319	C₂²	semidirect
169. #11718318	C₂²	semidirect
170. #11718316	C₂²	semidirect
171. #11718316	C₂²	semidirect
172. #11718316	C₂²	semidirect
173. #11718316	C₂²	semidirect
174. #11718316	C₂²	semidirect
175. #11718315	C₂²	semidirect
176. #11718315	C₂²	semidirect
177. #11718314	C₂²	semidirect
178. #11718314	C₂²	semidirect
179. #11718314	C₂²	semidirect
180. #11718313	C₂²	semidirect
181. #11718313	C₂²	semidirect
182. #11718313	C₂²	semidirect
183. #11718312	C₂²	semidirect
184. #11718310	C₂²	semidirect
185. #11718310	C₂²	semidirect
186. #11718307	C₂²	semidirect
532. #2597	D₁₃	semidirect
707. #400	C₂×D₁₃	semidirect
720. #397	C₂×D₁₃	semidirect
770. #388	C₂×D₁₃	semidirect
792. #387	C₂×D₁₃	semidirect
793. #387	C₂×D₁₃	semidirect
809. #385	C₂×D₁₃	semidirect
828. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
836. C₄×C₂²⋊C₄	C₂×D₁₃	semidirect
1250. C₁₃	#35027	semidirect

Maximal subgroups

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

subgroup	index
#13123229	2
#13123224	2
#13123161	2
#13123149	2
#13120921	2
#13120894	2
#13120861	2
#13120834	2
#13120374	2
#13120351	2
#13120342	2
#13120058	2
#13120021	2
#13119992	2
#13119724	2
#13119598	2
#13119467	2
#13119222	2
#13119075	2
#13118922	2
#13118755	2
#13118308	2
#13118293	2
#13117506	2
#13117495	2
#13117435	2
#13117430	2
C₄×#88150	2
D₁₃×#388	2
C₄×#88135	2
C₁₃×#2597	2
#35027	13