Subgroups — #16033404

Order 3328.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13120172	C₂	1	1	yes	maximal, characteristic, complemented
2	#13120149	C₂	1	1	yes	maximal, characteristic, complemented
3	#13120140	C₂	1	1	yes	maximal, characteristic, complemented
4	#13120114	C₂	1	1	yes	maximal, characteristic, complemented
5	#13120099	C₂	1	1	yes	maximal, characteristic, complemented
6	#13120082	C₂	1	1	yes	maximal, characteristic, complemented
7	#13120058	C₂	1	1	yes	maximal, characteristic, complemented
8	#13120015	C₂	1	1	yes	maximal, characteristic, complemented
9	#13119992	C₂	1	1	yes	maximal, characteristic, complemented
10	#13119888	C₂	1	1	yes	maximal, characteristic, complemented
11	#13119730	C₂	1	1	yes	maximal, characteristic
12	#13119224	C₂	1	1	yes	maximal, characteristic, complemented
13	#13119083	C₂	1	1	yes	maximal, characteristic, complemented
14	#13118316	C₂	1	1	yes	maximal, characteristic, complemented
15	#13118301	C₂	1	1	yes	maximal, characteristic
16	#13118135	C₂	1	1	yes	maximal, characteristic, complemented
17	#13118125	C₂	1	1	yes	maximal, characteristic, complemented
18	#13118105	C₂	1	1	yes	maximal, characteristic, complemented
19	#13118094	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117386	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117370	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117357	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117357	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117337	C₂	1	1	yes	maximal, characteristic
25	#13117330	C₂	1	1	yes	maximal, characteristic, complemented
26	#13117278	C₂	1	1	yes	maximal, characteristic, complemented
27	#13117229	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117216	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88147	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2575	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×#88152	C₂²	1	1	yes	characteristic
34	C₂×#88150	C₂²	1	1	yes	characteristic
35	C₂×#88148	C₂²	1	1	yes	characteristic
36	C₂×#88148	C₂²	1	1	yes	characteristic
37	C₂×#88147	C₂²	1	1	yes	characteristic
38	C₂×#88147	C₂²	1	1	yes	characteristic
39	C₂×#88147	C₂²	1	1	yes	characteristic
40	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88136	C₂²	1	1	yes	characteristic
42	C₂×#88135	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×#88131	C₂²	1	1	yes	characteristic
46	C₂×#88131	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#399	C₂²	1	1	yes	characteristic
54	C₁₃×#397	C₂²	1	1	yes	characteristic
55	C₁₃×#388	C₂²	1	1	yes	characteristic
56	C₁₃×#388	C₂²	1	1	yes	characteristic
57	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#385	C₂²	1	1	yes	characteristic
62	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#381	C₂²	1	1	yes	characteristic
64	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
66	#11718874	C₂²	1	1	yes	characteristic
67	#11718872	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
69	#11718655	C₂²	1	1	yes	characteristic
70	#11718654	C₂²	1	1	yes	characteristic
71	#11718653	C₂²	1	1	yes	characteristic, complemented
72	#11718652	C₂²	1	1	yes	characteristic
73	#11718651	C₂²	1	1	yes	characteristic
74	#11718650	C₂²	1	1	yes	characteristic
75	#11718650	C₂²	1	1	yes	characteristic
76	#11718650	C₂²	1	1	yes	characteristic
77	#11718650	C₂²	1	1	yes	characteristic, complemented
78	#11718648	C₂²	1	1	yes	characteristic
79	#11718648	C₂²	1	1	yes	characteristic
80	#11718643	C₂²	1	1	yes	characteristic, complemented
81	#11718643	C₂²	1	1	yes	characteristic, complemented
82	#11718641	C₂²	1	1	yes	characteristic, complemented
83	#11718641	C₂²	1	1	yes	characteristic, complemented
84	#11718639	C₂²	1	1	yes	characteristic, complemented
85	#11718639	C₂²	1	1	yes	characteristic, complemented
86	#11718639	C₂²	1	1	yes	characteristic, complemented
87	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
88	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
89	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
90	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
91	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
92	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
93	#11718622	C₂²	1	1	yes	characteristic
94	#11718620	C₂²	1	1	yes	characteristic
95	#11718617	C₂²	1	1	yes	characteristic
96	#11718617	C₂²	1	1	yes	characteristic
97	#11718616	C₂²	1	1	yes	characteristic
98	#11718616	C₂²	1	1	yes	characteristic
99	#11718616	C₂²	1	1	yes	characteristic
100	#11718613	C₂²	1	1	yes	characteristic
101	#11718612	C₂²	1	1	yes	characteristic
102	#11718612	C₂²	1	1	yes	characteristic
103	#11718609	C₂²	1	1	yes	characteristic
104	#11718609	C₂²	1	1	yes	characteristic
105	#11718608	C₂²	1	1	yes	characteristic
106	#11718606	C₂²	1	1	yes	characteristic
107	#11718605	C₂²	1	1	yes	characteristic
108	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
109	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
110	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
111	#11718601	C₂²	1	1	yes	characteristic
112	#11718601	C₂²	1	1	yes	characteristic
113	#11718601	C₂²	1	1	yes	characteristic, complemented
114	C₄×#6103	C₂²	1	1	yes	characteristic
115	C₄×#6103	C₂²	1	1	yes	characteristic
116	C₄×#6103	C₂²	1	1	yes	characteristic
117	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
118	#11718597	C₂²	1	1	yes	characteristic, complemented
119	#11718594	C₂²	1	1	yes	characteristic, complemented
120	#11718594	C₂²	1	1	yes	characteristic, complemented
121	#11718594	C₂²	1	1	yes	characteristic, complemented
122	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
123	#11718336	C₂²	1	1	yes	characteristic
124	#11718336	C₂²	1	1	yes	characteristic
125	#11718336	C₂²	1	1	yes	characteristic, complemented
126	#11718336	C₂²	1	1	yes	characteristic, complemented
127	#11718335	C₂²	1	1	yes	characteristic
128	#11718334	C₂²	1	1	yes	characteristic
129	#11718334	C₂²	1	1	yes	characteristic, complemented
130	#11718333	C₂²	1	1	yes	characteristic
131	#11718331	C₂²	1	1	yes	characteristic
132	#11718331	C₂²	1	1	yes	characteristic
133	#11718331	C₂²	1	1	yes	characteristic, complemented
134	#11718329	C₂²	1	1	yes	characteristic
135	#11718329	C₂²	1	1	yes	characteristic
136	#11718329	C₂²	1	1	yes	characteristic, complemented
137	#11718329	C₂²	1	1	yes	characteristic, complemented
138	#11718328	C₂²	1	1	yes	characteristic
139	#11718328	C₂²	1	1	yes	characteristic
140	#11718328	C₂²	1	1	yes	characteristic
141	#11718328	C₂²	1	1	yes	characteristic
142	#11718328	C₂²	1	1	yes	characteristic
143	#11718327	C₂²	1	1	yes	characteristic
144	#11718327	C₂²	1	1	yes	characteristic
145	#11718327	C₂²	1	1	yes	characteristic
146	#11718327	C₂²	1	1	yes	characteristic
147	#11718327	C₂²	1	1	yes	characteristic
148	#11718327	C₂²	1	1	yes	characteristic
149	#11718327	C₂²	1	1	yes	characteristic
150	#11718327	C₂²	1	1	yes	characteristic
151	#11718327	C₂²	1	1	yes	characteristic
152	#11718327	C₂²	1	1	yes	characteristic, complemented
153	#11718327	C₂²	1	1	yes	characteristic, complemented
154	#11718327	C₂²	1	1	yes	characteristic, complemented
155	#11718327	C₂²	1	1	yes	characteristic, complemented
156	#11718326	C₂²	1	1	yes	characteristic
157	#11718326	C₂²	1	1	yes	characteristic
158	#11718326	C₂²	1	1	yes	characteristic
159	#11718326	C₂²	1	1	yes	characteristic
160	#11718325	C₂²	1	1	yes	characteristic
161	#11718325	C₂²	1	1	yes	characteristic
162	#11718325	C₂²	1	1	yes	characteristic
163	#11718325	C₂²	1	1	yes	characteristic, complemented
164	D₁₃×#95	C₂²	1	1	yes	characteristic
165	D₁₃×#95	C₂²	1	1	yes	characteristic
166	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
167	#11718321	C₂²	1	1	yes	characteristic, complemented
168	#11718320	C₂²	1	1	yes	characteristic, complemented
169	#11718319	C₂²	1	1	yes	characteristic, complemented
170	#11718318	C₂²	1	1	yes	characteristic, complemented
171	#11718317	C₂²	1	1	yes	characteristic, complemented
172	#11718316	C₂²	1	1	yes	characteristic, complemented
173	#11718316	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	#11718312	C₂²	1	1	yes	characteristic, complemented
178	#11718312	C₂²	1	1	yes	characteristic, complemented
179	#11718312	C₂²	1	1	yes	characteristic, complemented
180	#11718310	C₂²	1	1	yes	characteristic, complemented
181	#11718310	C₂²	1	1	yes	characteristic, complemented
182	#11718310	C₂²	1	1	yes	characteristic, complemented
183	#11718309	C₂²	1	1	yes	characteristic, complemented
184	#11718309	C₂²	1	1	yes	characteristic, complemented
185	#11718308	C₂²	1	1	yes	characteristic, complemented
186	#11718307	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
190	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₅₂	C₂³	1	1	yes	characteristic
192	C₂²×D₅₂	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	—	2	4	no	—
194	C₂²×C₄×D₁₃	—	2	4	no	—
195	C₂²×C₄×D₁₃	—	4	2	no	—
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×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₃	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×#6103	C₂³	1	1	yes	characteristic
232	C₂×#6103	C₂³	1	1	yes	characteristic
233	C₂×#6103	C₂³	1	1	yes	characteristic
234	C₂×#6103	C₂³	1	1	yes	characteristic
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×#6103	C₂³	1	1	yes	characteristic
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	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×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₁₃	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×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	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
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	#88152	—	2	4	no	—
294	#88150	—	2	4	no	—
295	#88148	—	2	4	no	—
296	#88148	—	2	4	no	—
297	#88147	—	2	4	no	—
298	#88147	—	2	4	no	—
299	#88147	—	4	2	no	—
300	#88141	—	4	2	no	—
301	#88136	—	2	4	no	—
302	#88135	—	2	4	no	—
303	C₂²⋊C₄×D₁₃	—	2	4	no	—
304	C₂²⋊C₄×D₁₃	—	2	4	no	—
305	#88131	—	2	4	no	—
306	#88131	—	4	2	no	—
307	C₄×D₅₂	—	2	4	no	—
308	C₄²×D₁₃	—	2	4	no	—
309	C₄²×D₁₃	—	4	2	no	—
310	C₄²×D₁₃	—	4	2	no	—
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	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
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	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	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	#34849	—	13	1	no	maximal, Sylow
364	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₁₃	—	2	2	no	—
366	C₂³×D₁₃	—	2	2	no	—
367	C₂³×D₁₃	—	2	2	no	—
368	C₂³×D₁₃	—	2	2	no	—
369	C₂³×D₁₃	—	2	2	no	—
370	C₂³×D₁₃	—	4	1	no	—
371	C₂³×D₁₃	—	4	1	no	—
372	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
373	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
374	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	2	2	no	—
377	C₂²×C₄×C₁₃	—	4	1	no	—
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	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×C₂²⋊D₁₃	—	2	2	no	—
393	C₂×C₂²⋊D₁₃	—	2	2	no	—
394	C₂×C₂²⋊D₁₃	—	4	1	no	—
395	C₂²×Dic₁₃	—	2	2	no	—
396	C₂²×Dic₁₃	—	2	2	no	—
397	C₂²×Dic₁₃	#41	1	4	yes	—
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₅₂	—	2	2	no	—
412	C₂×D₅₂	—	2	2	no	—
413	C₂×D₅₂	—	2	2	no	—
414	C₂×D₅₂	—	2	2	no	—
415	C₂×D₅₂	—	4	1	no	—
416	C₂×D₅₂	#41	1	4	yes	—
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	—	2	2	no	—
422	C₂×C₄×D₁₃	—	2	2	no	—
423	C₂×C₄×D₁₃	—	2	2	no	—
424	C₂×C₄×D₁₃	—	2	2	no	—
425	C₂×C₄×D₁₃	—	2	2	no	—
426	C₂×C₄×D₁₃	—	2	2	no	—
427	C₂×C₄×D₁₃	—	2	2	no	—
428	C₂×C₄×D₁₃	—	2	2	no	—
429	C₂×C₄×D₁₃	—	2	2	no	—
430	C₂×C₄×D₁₃	—	2	2	no	—
431	C₂×C₄×D₁₃	—	2	2	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
435	C₂×C₄×D₁₃	—	2	2	no	—
436	C₂×C₄×D₁₃	—	2	2	no	—
437	C₂×C₄×D₁₃	—	2	2	no	—
438	C₂×C₄×D₁₃	—	2	2	no	—
439	C₂×C₄×D₁₃	—	4	16	no	—
440	C₂×C₄×D₁₃	—	4	1	no	—
441	C₂×C₄×D₁₃	—	4	1	no	—
442	C₂×C₄×D₁₃	—	4	1	no	—
443	C₂×C₄×D₁₃	—	4	1	no	—
444	C₂×C₄×D₁₃	—	4	1	no	—
445	C₂×C₄×D₁₃	—	4	1	no	—
446	C₂×C₄×D₁₃	—	4	1	no	—
447	C₂×C₄×D₁₃	—	4	1	no	—
448	C₂×C₄×D₁₃	—	4	1	no	—
449	C₂×C₄×D₁₃	#41	1	4	yes	—
450	C₂×C₄×D₁₃	#41	1	4	yes	—
451	C₂×Dic₂₆	—	2	2	no	—
452	C₂×Dic₂₆	—	4	1	no	—
453	C₂×Dic₂₆	—	4	1	no	—
454	C₁₃×C₄⋊C₄	—	2	2	no	—
455	C₁₃×C₄⋊C₄	—	2	2	no	—
456	C₁₃×C₄⋊C₄	—	2	2	no	—
457	C₁₃×C₄⋊C₄	—	2	2	no	—
458	C₁₃×C₄⋊C₄	—	2	2	no	—
459	C₁₃×C₄⋊C₄	—	2	2	no	—
460	C₁₃×C₄⋊C₄	—	4	1	no	—
461	C₁₃×C₄⋊C₄	—	4	1	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	C₄²×C₁₃	—	2	2	no	—
469	C₄²×C₁₃	—	2	2	no	—
470	C₄²×C₁₃	—	4	1	no	—
471	C₄²×C₁₃	—	4	1	no	—
472	C₂²⋊Dic₁₃	—	2	2	no	—
473	C₂²⋊Dic₁₃	—	2	2	no	—
474	C₂²⋊Dic₁₃	—	2	2	no	—
475	C₂²⋊Dic₁₃	—	4	1	no	—
476	C₂²⋊Dic₁₃	—	4	1	no	—
477	#6103	—	2	2	no	—
478	#6103	—	2	2	no	—
479	#6103	—	2	2	no	—
480	#6103	—	2	2	no	—
481	#6103	—	2	2	no	—
482	#6103	—	2	2	no	—
483	#6103	—	2	2	no	—
484	#6103	—	2	2	no	—
485	#6103	—	2	2	no	—
486	#6103	—	2	2	no	—
487	#6103	—	2	2	no	—
488	#6103	—	2	2	no	—
489	#6103	—	2	2	no	—
490	#6103	—	2	2	no	—
491	#6103	—	2	2	no	—
492	#6103	—	2	2	no	—
493	#6103	—	2	2	no	—
494	#6103	—	2	2	no	—
495	#6103	—	2	2	no	—
496	#6103	—	2	2	no	—
497	#6103	—	2	2	no	—
498	#6103	—	4	1	no	—
499	#6103	—	4	1	no	—
500	#6103	—	4	1	no	—
501	#6103	—	4	1	no	—
502	#6103	—	4	1	no	—
503	#6103	#41	1	4	yes	—
504	C₄⋊Dic₁₃	—	2	2	no	—
505	C₄⋊Dic₁₃	—	2	2	no	—
506	C₄⋊Dic₁₃	—	4	1	no	—
507	C₄⋊Dic₁₃	—	4	1	no	—
508	C₄⋊Dic₁₃	—	4	1	no	—
509	#6101	—	2	2	no	—
510	#6101	—	2	2	no	—
511	#6101	—	2	2	no	—
512	#6101	—	2	2	no	—
513	#6101	—	2	2	no	—
514	#6101	—	2	2	no	—
515	#6101	—	2	2	no	—
516	#6101	—	2	2	no	—
517	#6101	—	4	1	no	—
518	#6101	—	4	1	no	—
519	#6101	—	4	1	no	—
520	#6101	—	4	1	no	—
521	#6101	—	4	1	no	—
522	C₄×Dic₁₃	—	2	2	no	—
523	C₄×Dic₁₃	—	2	2	no	—
524	C₄×Dic₁₃	—	2	2	no	—
525	C₄×Dic₁₃	—	2	2	no	—
526	C₄×Dic₁₃	—	2	2	no	—
527	C₄×Dic₁₃	—	2	2	no	—
528	C₄×Dic₁₃	—	2	2	no	—
529	C₄×Dic₁₃	—	2	2	no	—
530	C₄×Dic₁₃	—	2	2	no	—
531	C₄×Dic₁₃	—	2	2	no	—
532	C₄×Dic₁₃	—	2	2	no	—
533	C₄×Dic₁₃	—	2	2	no	—
534	C₄×Dic₁₃	—	2	2	no	—
535	C₄×Dic₁₃	—	2	2	no	—
536	C₄×Dic₁₃	—	4	1	no	—
537	C₄×Dic₁₃	—	4	1	no	—
538	C₄×Dic₁₃	—	4	1	no	—
539	#2578	—	13	1	no	—
540	#2577	—	13	1	no	—
541	#2576	—	13	1	no	—
542	#2575	D₁₃	1	1	yes	characteristic, complemented
543	#2574	—	13	1	no	—
544	#2573	—	13	1	no	—
545	#2572	—	13	1	no	—
546	#2569	—	13	1	no	—
547	#2564	—	13	1	no	—
548	#2561	—	13	1	no	—
549	#2553	—	13	1	no	—
550	#2534	—	13	1	no	—
551	#2493	—	13	1	no	—
552	#2480	—	13	1	no	—
553	#2419	—	13	1	no	—
554	#2418	—	13	1	no	—
555	#2401	—	13	1	no	—
556	#2398	—	13	1	no	—
557	#2396	—	13	1	no	—
558	#2395	—	13	1	no	—
559	C₄×#126	—	13	1	no	—
560	C₄×C₂²⋊Q₈	—	13	1	no	—
561	C₄×#123	—	13	1	no	—
562	C₄×#123	—	13	1	no	—
563	C₄×#120	—	13	1	no	—
564	#2298	—	13	1	no	—
565	#2290	—	13	1	no	—
566	#2283	—	13	1	no	—
567	#2280	—	13	1	no	—
568	C₄²×D₄	—	13	1	no	—
569	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
570	C₂³×C₁₃	—	2	1	no	—
571	C₂³×C₁₃	—	2	1	no	—
572	C₂³×C₁₃	—	2	1	no	—
573	C₂³×C₁₃	—	2	1	no	—
574	C₂³×C₁₃	—	2	1	no	—
575	C₂³×C₁₃	—	2	1	no	—
576	C₂³×C₁₃	C₂×#41	1	2	yes	—
577	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
578	C₂²×D₁₃	—	2	1	no	—
579	C₂²×D₁₃	—	2	1	no	—
580	C₂²×D₁₃	—	2	1	no	—
581	C₂²×D₁₃	—	2	1	no	—
582	C₂²×D₁₃	—	2	8	no	—
583	C₂²×D₁₃	—	2	1	no	—
584	C₂²×D₁₃	—	2	1	no	—
585	C₂²×D₁₃	—	2	1	no	—
586	C₂²×D₁₃	—	2	1	no	—
587	C₂²×D₁₃	—	2	1	no	—
588	C₂²×D₁₃	—	2	1	no	—
589	C₂²×D₁₃	—	2	1	no	—
590	C₂²×D₁₃	—	2	1	no	—
591	C₂²×D₁₃	—	2	1	no	—
592	C₂²×D₁₃	—	2	1	no	—
593	C₂²×D₁₃	—	2	1	no	—
594	C₂²×D₁₃	—	2	1	no	—
595	C₂²×D₁₃	—	4	4	no	—
596	C₂²×D₁₃	—	4	4	no	—
597	C₂²×D₁₃	—	4	4	no	—
598	C₂²×D₁₃	—	4	4	no	—
599	C₂²×D₁₃	—	4	4	no	—
600	C₂²×D₁₃	—	4	4	no	—
601	C₂²×D₁₃	C₂×#41	1	2	yes	—
602	C₂²×D₁₃	C₂×#41	1	2	yes	—
603	C₂²×D₁₃	C₂×#41	1	2	yes	—
604	C₂²×D₁₃	C₂×#41	1	2	yes	—
605	C₂²×D₁₃	C₂×#41	1	2	yes	—
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	—	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	—	4	4	no	—
645	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
646	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
647	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
648	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
649	C₂²⋊D₁₃	—	4	4	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	8	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	—	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	C₂×#41	1	2	yes	—
685	C₂×Dic₁₃	C₂×#41	1	2	yes	—
686	C₂×Dic₁₃	C₂×#41	1	2	yes	—
687	C₂×Dic₁₃	C₂×#41	1	2	yes	—
688	C₂×Dic₁₃	C₂×#41	1	2	yes	—
689	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
690	D₅₂	—	2	8	no	—
691	D₅₂	—	4	4	no	—
692	C₄×D₁₃	—	2	8	no	—
693	C₄×D₁₃	—	4	4	no	—
694	C₄×D₁₃	—	4	4	no	—
695	C₄×D₁₃	—	4	4	no	—
696	C₄×D₁₃	—	4	4	no	—
697	C₄×D₁₃	—	4	4	no	—
698	C₄×D₁₃	—	4	4	no	—
699	C₄×D₁₃	—	4	4	no	—
700	C₄×D₁₃	—	4	4	no	—
701	C₄×D₁₃	—	4	4	no	—
702	C₄×D₁₃	—	4	4	no	—
703	Dic₂₆	—	4	4	no	—
704	C₂⁴×C₄	—	13	1	no	—
705	C₂×#126	—	13	1	no	—
706	C₂×#123	—	13	1	no	—
707	C₂×#123	—	13	1	no	—
708	C₂×C₂²⋊Q₈	—	13	1	no	—
709	C₂×#120	—	13	1	no	—
710	C₂×C₄×Q₈	—	13	1	no	—
711	C₂×C₄×D₄	—	13	1	no	—
712	C₂×C₄×D₄	—	13	1	no	—
713	C₂×C₄×D₄	—	13	1	no	—
714	C₂×C₄×D₄	—	13	1	no	—
715	C₂×C₄×D₄	—	13	1	no	—
716	C₂×#117	—	13	1	no	—
717	C₂×#117	—	13	1	no	—
718	C₂²×C₂²⋊C₄	—	13	1	no	—
719	C₂²×C₂²⋊C₄	—	13	1	no	—
720	C₂²×C₄²	—	13	1	no	—
721	C₂²×C₄²	—	13	1	no	—
722	C₂²×C₄²	—	13	1	no	—
723	#401	—	13	1	no	—
724	#400	—	13	1	no	—
725	#400	—	13	1	no	—
726	#400	—	13	1	no	—
727	#400	—	13	1	no	—
728	#400	—	13	1	no	—
729	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
730	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
731	#399	—	13	1	no	—
732	#399	C₂×D₁₃	1	1	yes	characteristic
733	#398	—	13	1	no	—
734	#398	—	13	1	no	—
735	#398	—	13	1	no	—
736	#397	—	13	1	no	—
737	#397	—	13	1	no	—
738	#397	—	13	1	no	—
739	#397	—	13	1	no	—
740	#397	—	13	1	no	—
741	#397	—	13	1	no	—
742	#397	—	13	1	no	—
743	#397	C₂×D₁₃	1	1	yes	characteristic
744	#396	—	13	1	no	—
745	#396	—	13	1	no	—
746	#396	—	13	1	no	—
747	#395	—	13	1	no	—
748	#394	—	13	1	no	—
749	#394	—	13	1	no	—
750	#394	—	13	1	no	—
751	#394	—	13	1	no	—
752	#393	—	13	1	no	—
753	#393	—	13	1	no	—
754	#393	—	13	1	no	—
755	#391	—	13	1	no	—
756	#389	—	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	—	13	1	no	—
768	#388	C₂×D₁₃	1	1	yes	characteristic
769	#388	C₂×D₁₃	1	1	yes	characteristic
770	#387	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic, complemented
782	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
783	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
784	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
785	#386	—	13	1	no	—
786	#386	—	13	1	no	—
787	#386	—	13	1	no	—
788	#386	—	13	1	no	—
789	#386	—	13	1	no	—
790	#386	—	13	1	no	—
791	#386	—	13	1	no	—
792	#385	—	13	1	no	—
793	#385	—	13	1	no	—
794	#385	—	13	1	no	—
795	#385	—	13	1	no	—
796	#385	—	13	1	no	—
797	#385	—	13	1	no	—
798	#385	—	13	1	no	—
799	#385	—	13	1	no	—
800	#385	C₂×D₁₃	1	1	yes	characteristic
801	#383	—	13	1	no	—
802	#383	—	13	1	no	—
803	#383	—	13	1	no	—
804	#382	—	13	1	no	—
805	#382	C₂×D₁₃	1	1	yes	characteristic, complemented
806	#381	—	13	1	no	—
807	#381	—	13	1	no	—
808	#381	—	13	1	no	—
809	#381	—	13	1	no	—
810	#381	—	13	1	no	—
811	#381	C₂×D₁₃	1	1	yes	characteristic
812	#380	—	13	1	no	—
813	#380	—	13	1	no	—
814	#380	—	13	1	no	—
815	#380	—	13	1	no	—
816	#380	—	13	1	no	—
817	#380	—	13	1	no	—
818	#380	—	13	1	no	—
819	#379	—	13	1	no	—
820	#379	—	13	1	no	—
821	#379	—	13	1	no	—
822	C₄×C₄⋊C₄	—	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	—	13	1	no	—
829	C₄×C₄⋊C₄	—	13	1	no	—
830	C₄×C₄⋊C₄	—	13	1	no	—
831	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
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	—	13	1	no	—
837	C₄×C₂²⋊C₄	—	13	1	no	—
838	C₄×C₂²⋊C₄	—	13	1	no	—
839	C₄×C₂²⋊C₄	—	13	1	no	—
840	C₄×C₂²⋊C₄	—	13	1	no	—
841	C₄×C₂²⋊C₄	—	13	1	no	—
842	C₄×C₂²⋊C₄	—	13	1	no	—
843	C₄×C₂²⋊C₄	—	13	1	no	—
844	C₄×C₂²⋊C₄	—	13	1	no	—
845	C₄×C₂²⋊C₄	—	13	1	no	—
846	C₄×C₂²⋊C₄	—	13	1	no	—
847	C₄×C₂²⋊C₄	—	13	1	no	—
848	C₄×C₂²⋊C₄	—	13	1	no	—
849	C₄×C₂²⋊C₄	—	13	1	no	—
850	C₄×C₂²⋊C₄	—	13	1	no	—
851	C₄×C₂²⋊C₄	—	13	1	no	—
852	C₄×C₂²⋊C₄	—	13	1	no	—
853	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
854	#376	—	13	1	no	—
855	#376	—	13	1	no	—
856	C₂×#95	—	13	1	no	—
857	C₂×#95	—	13	1	no	—
858	C₄³	—	13	1	no	—
859	C₂²×C₁₃	—	2	2	no	—
860	C₂²×C₁₃	—	2	2	no	—
861	C₂²×C₁₃	—	2	2	no	—
862	C₂²×C₁₃	—	4	1	no	—
863	C₂²×C₁₃	—	4	1	no	—
864	C₂²×C₁₃	—	4	1	no	—
865	C₂²×C₁₃	—	4	1	no	—
866	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
867	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
868	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
869	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
870	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
871	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
872	C₂²×C₁₃	#585	1	1	yes	characteristic
873	C₂×D₁₃	—	2	2	no	—
874	C₂×D₁₃	—	2	2	no	—
875	C₂×D₁₃	—	2	2	no	—
876	C₂×D₁₃	—	2	2	no	—
877	C₂×D₁₃	—	2	2	no	—
878	C₂×D₁₃	—	2	2	no	—
879	C₂×D₁₃	—	2	2	no	—
880	C₂×D₁₃	—	2	2	no	—
881	C₂×D₁₃	—	2	2	no	—
882	C₂×D₁₃	—	2	2	no	—
883	C₂×D₁₃	—	2	2	no	—
884	C₂×D₁₃	—	2	2	no	—
885	C₂×D₁₃	—	4	16	no	—
886	C₂×D₁₃	—	4	1	no	—
887	C₂×D₁₃	—	4	1	no	—
888	C₂×D₁₃	—	4	1	no	—
889	C₂×D₁₃	—	4	1	no	—
890	C₂×D₁₃	—	4	1	no	—
891	C₂×D₁₃	—	4	1	no	—
892	C₂×D₁₃	—	4	1	no	—
893	C₂×D₁₃	—	4	1	no	—
894	C₂×D₁₃	#529	1	4	yes	—
895	C₄×C₁₃	—	2	2	no	—
896	C₄×C₁₃	—	2	2	no	—
897	C₄×C₁₃	—	2	2	no	—
898	C₄×C₁₃	—	2	2	no	—
899	C₄×C₁₃	—	4	1	no	—
900	C₄×C₁₃	—	4	1	no	—
901	C₄×C₁₃	—	4	1	no	—
902	C₄×C₁₃	—	4	1	no	—
903	C₄×C₁₃	—	4	1	no	—
904	C₄×C₁₃	—	4	1	no	—
905	C₄×C₁₃	—	4	1	no	—
906	C₄×C₁₃	—	4	1	no	—
907	C₄×C₁₃	—	4	1	no	—
908	C₄×C₁₃	—	4	1	no	—
909	Dic₁₃	—	2	2	no	—
910	Dic₁₃	—	2	2	no	—
911	Dic₁₃	—	2	2	no	—
912	Dic₁₃	—	4	1	no	—
913	Dic₁₃	—	4	1	no	—
914	Dic₁₃	—	4	1	no	—
915	Dic₁₃	—	4	1	no	—
916	Dic₁₃	—	4	1	no	—
917	Dic₁₃	—	4	1	no	—
918	Dic₁₃	—	4	1	no	—
919	Dic₁₃	—	4	1	no	—
920	Dic₁₃	—	4	1	no	—
921	Dic₁₃	#551	1	4	yes	—
922	C₂⁵	—	13	1	no	—
923	C₂²×Q₈	—	13	1	no	—
924	C₂²×D₄	—	13	1	no	—
925	C₂²×D₄	—	13	1	no	—
926	C₂²×D₄	—	13	1	no	—
927	C₂³×C₄	—	13	1	no	—
928	C₂³×C₄	—	13	1	no	—
929	C₂³×C₄	—	13	1	no	—
930	C₂³×C₄	—	13	1	no	—
931	C₂³×C₄	—	13	1	no	—
932	C₂³×C₄	—	13	1	no	—
933	C₂³×C₄	—	13	1	no	—
934	C₂³×C₄	—	13	1	no	—
935	C₂³×C₄	—	13	1	no	—
936	C₂³×C₄	—	13	1	no	—
937	C₂³×C₄	—	13	1	no	—
938	C₂³×C₄	—	13	1	no	—
939	C₂³×C₄	—	26	4	no	—
940	C₂³×C₄	—	26	4	no	—
941	C₂³×C₄	—	52	2	no	—
942	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
943	#126	—	26	4	no	—
944	#123	—	26	4	no	—
945	#123	—	26	4	no	—
946	C₂²⋊Q₈	—	26	4	no	—
947	#120	—	26	4	no	—
948	C₄×Q₈	—	52	2	no	—
949	C₄×D₄	—	26	4	no	—
950	C₄×D₄	—	26	4	no	—
951	C₄×D₄	—	26	4	no	—
952	C₄×D₄	—	26	4	no	—
953	C₄×D₄	—	52	2	no	—
954	#117	—	26	4	no	—
955	#117	—	52	2	no	—
956	C₂×C₄⋊C₄	—	13	1	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	1	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	1	no	—
964	C₂×C₄⋊C₄	—	13	1	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	1	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	1	no	—
971	C₂×C₄⋊C₄	—	13	1	no	—
972	C₂×C₄⋊C₄	—	13	1	no	—
973	C₂×C₄⋊C₄	—	13	1	no	—
974	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
975	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
977	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
978	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
989	C₂×C₂²⋊C₄	—	13	1	no	—
990	C₂×C₂²⋊C₄	—	13	1	no	—
991	C₂×C₂²⋊C₄	—	13	1	no	—
992	C₂×C₂²⋊C₄	—	13	1	no	—
993	C₂×C₂²⋊C₄	—	13	1	no	—
994	C₂×C₂²⋊C₄	—	13	1	no	—
995	C₂×C₂²⋊C₄	—	13	1	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	1	no	—
998	C₂×C₂²⋊C₄	—	13	1	no	—
999	C₂×C₂²⋊C₄	—	13	1	no	—
1000	C₂×C₂²⋊C₄	—	13	1	no	—
1001	C₂×C₂²⋊C₄	—	13	1	no	—
1002	C₂×C₂²⋊C₄	—	13	1	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	1	no	—
1006	C₂×C₂²⋊C₄	—	13	1	no	—
1007	C₂×C₂²⋊C₄	—	13	1	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	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	—	26	4	no	—
1015	C₂×C₂²⋊C₄	—	26	4	no	—
1016	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₄²	—	13	1	no	—
1023	C₂×C₄²	—	13	1	no	—
1024	C₂×C₄²	—	13	1	no	—
1025	C₂×C₄²	—	13	1	no	—
1026	C₂×C₄²	—	13	1	no	—
1027	C₂×C₄²	—	13	1	no	—
1028	C₂×C₄²	—	13	1	no	—
1029	C₂×C₄²	—	13	1	no	—
1030	C₂×C₄²	—	13	1	no	—
1031	C₂×C₄²	—	13	1	no	—
1032	C₂×C₄²	—	13	1	no	—
1033	C₂×C₄²	—	13	1	no	—
1034	C₂×C₄²	—	13	1	no	—
1035	C₂×C₄²	—	13	1	no	—
1036	C₂×C₄²	—	13	1	no	—
1037	C₂×C₄²	—	13	1	no	—
1038	C₂×C₄²	—	13	1	no	—
1039	C₂×C₄²	—	26	4	no	—
1040	C₂×C₄²	—	52	2	no	—
1041	C₂×C₄²	—	52	2	no	—
1042	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1043	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1044	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1045	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
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	—	13	1	no	—
1062	#95	—	13	1	no	—
1063	#95	—	13	1	no	—
1064	#95	—	13	1	no	—
1065	#95	—	13	1	no	—
1066	#95	—	13	1	no	—
1067	#95	—	13	1	no	—
1068	#95	—	13	1	no	—
1069	#95	—	13	1	no	—
1070	#95	—	13	1	no	—
1071	#95	—	13	1	no	—
1072	#95	—	13	1	no	—
1073	#95	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1083	#95	C₂²×D₁₃	1	1	yes	characteristic
1084	#95	C₂²×D₁₃	1	1	yes	characteristic
1085	#95	C₂²×D₁₃	1	1	yes	characteristic
1086	#95	C₂²×D₁₃	1	1	yes	characteristic
1087	#95	C₂²×D₁₃	1	1	yes	characteristic
1088	#95	C₂²×D₁₃	1	1	yes	characteristic
1089	#95	C₂²×D₁₃	1	1	yes	characteristic
1090	#95	C₂²×D₁₃	1	1	yes	characteristic
1091	#95	C₂²×D₁₃	1	1	yes	characteristic
1092	#95	C₂²×D₁₃	1	1	yes	characteristic
1093	#95	C₂²×D₁₃	1	1	yes	characteristic
1094	#95	C₂²×D₁₃	1	1	yes	characteristic
1095	#95	C₂²×D₁₃	1	1	yes	characteristic
1096	#95	C₂²×D₁₃	1	1	yes	characteristic
1097	#95	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×C₁₃	—	4	2	no	—
1099	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1100	C₂×C₁₃	#3444	1	1	yes	characteristic
1101	C₂×C₁₃	#3459	1	1	yes	characteristic
1102	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1103	C₂×C₁₃	#3475	1	1	yes	characteristic
1104	C₂×C₁₃	#3475	1	1	yes	characteristic
1105	C₂×C₁₃	#3481	1	1	yes	characteristic
1106	D₁₃	—	2	4	no	—
1107	D₁₃	—	4	2	no	—
1108	D₁₃	—	4	2	no	—
1109	C₂⁴	—	13	1	no	—
1110	C₂⁴	—	13	1	no	—
1111	C₂⁴	—	13	1	no	—
1112	C₂⁴	—	26	2	no	—
1113	C₂⁴	—	26	2	no	—
1114	C₂⁴	—	26	2	no	—
1115	C₂⁴	—	26	2	no	—
1116	C₂⁴	—	26	2	no	—
1117	C₂⁴	—	52	1	no	—
1118	C₂⁴	—	52	1	no	—
1119	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1120	C₂×Q₈	—	26	2	no	—
1121	C₂×Q₈	—	52	1	no	—
1122	C₂×Q₈	—	52	1	no	—
1123	C₂×D₄	—	13	4	no	—
1124	C₂×D₄	—	26	2	no	—
1125	C₂×D₄	—	26	2	no	—
1126	C₂×D₄	—	26	2	no	—
1127	C₂×D₄	—	26	2	no	—
1128	C₂×D₄	—	26	2	no	—
1129	C₂×D₄	—	26	2	no	—
1130	C₂×D₄	—	52	1	no	—
1131	C₂×D₄	—	52	1	no	—
1132	C₂²×C₄	—	2	2	no	—
1133	C₂²×C₄	—	2	2	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	13	1	no	—
1136	C₂²×C₄	—	13	4	no	—
1137	C₂²×C₄	—	13	1	no	—
1138	C₂²×C₄	—	13	1	no	—
1139	C₂²×C₄	—	13	1	no	—
1140	C₂²×C₄	—	13	4	no	—
1141	C₂²×C₄	—	13	4	no	—
1142	C₂²×C₄	—	13	1	no	—
1143	C₂²×C₄	—	13	1	no	—
1144	C₂²×C₄	—	13	1	no	—
1145	C₂²×C₄	—	13	1	no	—
1146	C₂²×C₄	—	13	1	no	—
1147	C₂²×C₄	—	13	1	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	1	no	—
1150	C₂²×C₄	—	13	1	no	—
1151	C₂²×C₄	—	26	2	no	—
1152	C₂²×C₄	—	26	2	no	—
1153	C₂²×C₄	—	26	2	no	—
1154	C₂²×C₄	—	26	2	no	—
1155	C₂²×C₄	—	26	2	no	—
1156	C₂²×C₄	—	26	2	no	—
1157	C₂²×C₄	—	26	2	no	—
1158	C₂²×C₄	—	26	2	no	—
1159	C₂²×C₄	—	26	2	no	—
1160	C₂²×C₄	—	26	2	no	—
1161	C₂²×C₄	—	26	2	no	—
1162	C₂²×C₄	—	26	2	no	—
1163	C₂²×C₄	—	26	2	no	—
1164	C₂²×C₄	—	26	2	no	—
1165	C₂²×C₄	—	26	2	no	—
1166	C₂²×C₄	—	26	2	no	—
1167	C₂²×C₄	—	26	2	no	—
1168	C₂²×C₄	—	26	2	no	—
1169	C₂²×C₄	—	26	2	no	—
1170	C₂²×C₄	—	26	2	no	—
1171	C₂²×C₄	—	26	2	no	—
1172	C₂²×C₄	—	26	2	no	—
1173	C₂²×C₄	—	26	2	no	—
1174	C₂²×C₄	—	26	2	no	—
1175	C₂²×C₄	—	52	1	no	—
1176	C₂²×C₄	—	52	1	no	—
1177	C₂²×C₄	—	52	1	no	—
1178	C₂²×C₄	—	52	1	no	—
1179	C₂²×C₄	—	52	1	no	—
1180	C₂²×C₄	—	52	1	no	—
1181	C₂²×C₄	—	52	1	no	—
1182	C₂²×C₄	—	52	1	no	—
1183	C₂²×C₄	—	52	1	no	—
1184	C₂²×C₄	—	52	16	no	—
1185	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1188	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1190	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1191	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1192	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1199	C₄⋊C₄	—	2	2	no	—
1200	C₄⋊C₄	—	2	2	no	—
1201	C₄⋊C₄	—	2	2	no	—
1202	C₄⋊C₄	—	2	2	no	—
1203	C₄⋊C₄	—	2	2	no	—
1204	C₄⋊C₄	—	2	2	no	—
1205	C₄⋊C₄	—	4	1	no	—
1206	C₄⋊C₄	—	4	1	no	—
1207	C₄⋊C₄	—	26	2	no	—
1208	C₄⋊C₄	—	26	2	no	—
1209	C₄⋊C₄	—	26	2	no	—
1210	C₄⋊C₄	—	26	2	no	—
1211	C₄⋊C₄	—	26	2	no	—
1212	C₄⋊C₄	—	26	2	no	—
1213	C₄⋊C₄	—	26	2	no	—
1214	C₄⋊C₄	—	26	2	no	—
1215	C₄⋊C₄	—	26	2	no	—
1216	C₄⋊C₄	—	26	2	no	—
1217	C₄⋊C₄	—	52	1	no	—
1218	C₄⋊C₄	—	52	1	no	—
1219	C₄⋊C₄	—	52	1	no	—
1220	C₄⋊C₄	—	52	1	no	—
1221	C₄⋊C₄	—	52	1	no	—
1222	C₄⋊C₄	—	52	1	no	—
1223	C₄⋊C₄	—	52	1	no	—
1224	C₄⋊C₄	—	52	1	no	—
1225	C₂²⋊C₄	—	2	2	no	—
1226	C₂²⋊C₄	—	2	2	no	—
1227	C₂²⋊C₄	—	2	2	no	—
1228	C₂²⋊C₄	—	2	2	no	—
1229	C₂²⋊C₄	—	2	2	no	—
1230	C₂²⋊C₄	—	4	1	no	—
1231	C₂²⋊C₄	—	13	4	no	—
1232	C₂²⋊C₄	—	26	2	no	—
1233	C₂²⋊C₄	—	26	2	no	—
1234	C₂²⋊C₄	—	26	2	no	—
1235	C₂²⋊C₄	—	26	2	no	—
1236	C₂²⋊C₄	—	26	2	no	—
1237	C₂²⋊C₄	—	26	2	no	—
1238	C₂²⋊C₄	—	26	2	no	—
1239	C₂²⋊C₄	—	26	2	no	—
1240	C₂²⋊C₄	—	26	2	no	—
1241	C₂²⋊C₄	—	26	2	no	—
1242	C₂²⋊C₄	—	26	2	no	—
1243	C₂²⋊C₄	—	26	2	no	—
1244	C₂²⋊C₄	—	26	2	no	—
1245	C₂²⋊C₄	—	26	2	no	—
1246	C₂²⋊C₄	—	26	2	no	—
1247	C₂²⋊C₄	—	26	2	no	—
1248	C₂²⋊C₄	—	26	2	no	—
1249	C₂²⋊C₄	—	26	2	no	—
1250	C₂²⋊C₄	—	26	2	no	—
1251	C₂²⋊C₄	—	26	2	no	—
1252	C₂²⋊C₄	—	26	2	no	—
1253	C₂²⋊C₄	—	26	2	no	—
1254	C₂²⋊C₄	—	26	2	no	—
1255	C₂²⋊C₄	—	26	2	no	—
1256	C₂²⋊C₄	—	52	1	no	—
1257	C₂²⋊C₄	—	52	1	no	—
1258	C₂²⋊C₄	—	52	1	no	—
1259	C₂²⋊C₄	—	52	1	no	—
1260	C₂²⋊C₄	—	52	1	no	—
1261	C₂²⋊C₄	—	52	1	no	—
1262	C₂²⋊C₄	—	52	1	no	—
1263	C₄²	—	2	2	no	—
1264	C₄²	—	2	2	no	—
1265	C₄²	—	4	1	no	—
1266	C₄²	—	4	1	no	—
1267	C₄²	—	26	2	no	—
1268	C₄²	—	26	2	no	—
1269	C₄²	—	26	2	no	—
1270	C₄²	—	26	2	no	—
1271	C₄²	—	26	2	no	—
1272	C₄²	—	26	2	no	—
1273	C₄²	—	26	2	no	—
1274	C₄²	—	26	2	no	—
1275	C₄²	—	26	2	no	—
1276	C₄²	—	26	2	no	—
1277	C₄²	—	26	2	no	—
1278	C₄²	—	26	2	no	—
1279	C₄²	—	26	2	no	—
1280	C₄²	—	26	2	no	—
1281	C₄²	—	52	1	no	—
1282	C₄²	—	52	1	no	—
1283	C₄²	—	52	1	no	—
1284	C₁₃	#34849	1	1	yes	characteristic, complemented, Sylow
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	13	2	no	—
1292	C₂³	—	13	2	no	—
1293	C₂³	—	13	2	no	—
1294	C₂³	—	13	2	no	—
1295	C₂³	—	13	2	no	—
1296	C₂³	—	26	8	no	—
1297	C₂³	—	26	1	no	—
1298	C₂³	—	26	1	no	—
1299	C₂³	—	26	1	no	—
1300	C₂³	—	26	1	no	—
1301	C₂³	—	26	1	no	—
1302	C₂³	—	26	1	no	—
1303	C₂³	—	26	1	no	—
1304	C₂³	—	26	1	no	—
1305	C₂³	—	26	1	no	—
1306	C₂³	—	26	1	no	—
1307	C₂³	—	26	1	no	—
1308	C₂³	—	26	1	no	—
1309	C₂³	—	26	1	no	—
1310	C₂³	—	26	1	no	—
1311	C₂³	—	26	1	no	—
1312	C₂³	—	26	1	no	—
1313	C₂³	—	52	4	no	—
1314	C₂³	—	52	4	no	—
1315	C₂³	—	52	4	no	—
1316	C₂³	—	52	4	no	—
1317	C₂³	—	52	4	no	—
1318	C₂³	—	52	4	no	—
1319	C₂³	#41×D₁₃	1	2	yes	—
1320	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1321	Q₈	—	52	4	no	—
1322	D₄	—	26	8	no	—
1323	D₄	—	52	4	no	—
1324	D₄	—	52	4	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	1	no	—
1360	C₂×C₄	—	2	1	no	—
1361	C₂×C₄	—	2	1	no	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	13	2	no	—
1365	C₂×C₄	—	13	2	no	—
1366	C₂×C₄	—	13	2	no	—
1367	C₂×C₄	—	13	2	no	—
1368	C₂×C₄	—	13	2	no	—
1369	C₂×C₄	—	13	2	no	—
1370	C₂×C₄	—	26	8	no	—
1371	C₂×C₄	—	26	8	no	—
1372	C₂×C₄	—	26	1	no	—
1373	C₂×C₄	—	26	1	no	—
1374	C₂×C₄	—	26	1	no	—
1375	C₂×C₄	—	26	1	no	—
1376	C₂×C₄	—	26	1	no	—
1377	C₂×C₄	—	26	1	no	—
1378	C₂×C₄	—	26	1	no	—
1379	C₂×C₄	—	26	1	no	—
1380	C₂×C₄	—	26	1	no	—
1381	C₂×C₄	—	26	1	no	—
1382	C₂×C₄	—	26	1	no	—
1383	C₂×C₄	—	26	1	no	—
1384	C₂×C₄	—	26	1	no	—
1385	C₂×C₄	—	26	1	no	—
1386	C₂×C₄	—	26	1	no	—
1387	C₂×C₄	—	26	1	no	—
1388	C₂×C₄	—	26	1	no	—
1389	C₂×C₄	—	26	1	no	—
1390	C₂×C₄	—	26	1	no	—
1391	C₂×C₄	—	26	1	no	—
1392	C₂×C₄	—	26	1	no	—
1393	C₂×C₄	—	26	1	no	—
1394	C₂×C₄	—	26	1	no	—
1395	C₂×C₄	—	26	1	no	—
1396	C₂×C₄	—	26	1	no	—
1397	C₂×C₄	—	26	1	no	—
1398	C₂×C₄	—	26	1	no	—
1399	C₂×C₄	—	26	1	no	—
1400	C₂×C₄	—	26	1	no	—
1401	C₂×C₄	—	26	1	no	—
1402	C₂×C₄	—	26	1	no	—
1403	C₂×C₄	—	26	1	no	—
1404	C₂×C₄	—	26	1	no	—
1405	C₂×C₄	—	52	4	no	—
1406	C₂×C₄	—	52	4	no	—
1407	C₂×C₄	—	52	4	no	—
1408	C₂×C₄	—	52	4	no	—
1409	C₂×C₄	—	52	4	no	—
1410	C₂×C₄	—	52	4	no	—
1411	C₂×C₄	—	52	4	no	—
1412	C₂×C₄	—	52	4	no	—
1413	C₂×C₄	—	52	4	no	—
1414	C₂×C₄	—	52	4	no	—
1415	C₂×C₄	#41×D₁₃	1	2	yes	—
1416	C₂×C₄	#41×D₁₃	1	2	yes	—
1417	C₂×C₄	#41×D₁₃	1	2	yes	—
1418	C₂×C₄	#41×D₁₃	1	2	yes	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	13	4	no	—
1427	C₂²	—	26	2	no	—
1428	C₂²	—	26	2	no	—
1429	C₂²	—	26	2	no	—
1430	C₂²	—	26	2	no	—
1431	C₂²	—	26	2	no	—
1432	C₂²	—	26	2	no	—
1433	C₂²	—	26	2	no	—
1434	C₂²	—	26	2	no	—
1435	C₂²	—	26	2	no	—
1436	C₂²	—	26	2	no	—
1437	C₂²	—	26	2	no	—
1438	C₂²	—	26	2	no	—
1439	C₂²	—	52	16	no	—
1440	C₂²	—	52	1	no	—
1441	C₂²	—	52	1	no	—
1442	C₂²	—	52	1	no	—
1443	C₂²	—	52	1	no	—
1444	C₂²	—	52	1	no	—
1445	C₂²	—	52	1	no	—
1446	C₂²	—	52	1	no	—
1447	C₂²	—	52	1	no	—
1448	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1449	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1450	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1451	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1452	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1453	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1454	C₂²	#11719652	1	1	yes	characteristic
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	4	1	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	13	4	no	—
1470	C₄	—	26	2	no	—
1471	C₄	—	26	2	no	—
1472	C₄	—	26	2	no	—
1473	C₄	—	52	1	no	—
1474	C₄	—	52	1	no	—
1475	C₄	—	52	1	no	—
1476	C₄	—	52	1	no	—
1477	C₄	—	52	1	no	—
1478	C₄	—	52	1	no	—
1479	C₄	—	52	1	no	—
1480	C₄	—	52	1	no	—
1481	C₄	—	52	1	no	—
1482	C₂	—	4	2	no	—
1483	C₂	—	26	4	no	—
1484	C₂	—	52	2	no	—
1485	C₂	—	52	2	no	—
1486	C₂	D₁₃×#529	1	1	yes	characteristic
1487	C₂	#13128130	1	1	yes	characteristic
1488	C₂	#13128244	1	1	yes	characteristic
1489	C₂	D₁₃×#551	1	1	yes	characteristic
1490	C₂	#13128389	1	1	yes	characteristic
1491	C₂	#13128401	1	1	yes	characteristic
1492	C₂	#13128445	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2575	C₂
prime radical	C₂×#88136	C₂²
hypercenter	#2575	D₁₃
hypocenter	C₁₃	#34849
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2575

Complements

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

N	H ≅ G/N	type
1. #13120172	C₂	semidirect
2. #13120149	C₂	semidirect
3. #13120140	C₂	semidirect
4. #13120114	C₂	semidirect
5. #13120099	C₂	semidirect
6. #13120082	C₂	semidirect
7. #13120058	C₂	semidirect
8. #13120015	C₂	semidirect
9. #13119992	C₂	semidirect
10. #13119888	C₂	semidirect
12. #13119224	C₂	semidirect
13. #13119083	C₂	semidirect
14. #13118316	C₂	semidirect
16. #13118135	C₂	semidirect
17. #13118125	C₂	semidirect
18. #13118105	C₂	semidirect
19. #13118094	C₂	semidirect
20. #13117386	C₂	semidirect
21. #13117370	C₂	semidirect
22. #13117357	C₂	semidirect
23. #13117357	C₂	semidirect
25. #13117330	C₂	semidirect
26. #13117278	C₂	semidirect
27. #13117229	C₂	semidirect
28. #13117216	C₂	semidirect
29. C₄×#88147	C₂	semidirect
30. C₄×C₂²⋊C₄×D₁₃	C₂	semidirect
31. C₁₃×#2575	C₂	semidirect
40. C₂×#88141	C₂²	semidirect
50. C₂×C₄²×D₁₃	C₂²	semidirect
51. C₁₃×#400	C₂²	semidirect
52. C₁₃×#400	C₂²	semidirect
57. C₁₃×#387	C₂²	semidirect
58. C₁₃×#387	C₂²	semidirect
59. C₁₃×#387	C₂²	semidirect
60. C₁₃×#387	C₂²	semidirect
62. C₁₃×#382	C₂²	semidirect
64. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
71. #11718653	C₂²	semidirect
77. #11718650	C₂²	semidirect
80. #11718643	C₂²	semidirect
81. #11718643	C₂²	semidirect
82. #11718641	C₂²	semidirect
83. #11718641	C₂²	semidirect
84. #11718639	C₂²	semidirect
85. #11718639	C₂²	semidirect
86. #11718639	C₂²	semidirect
87. C₄⋊C₄×Dic₁₃	C₂²	semidirect
88. C₄⋊C₄×Dic₁₃	C₂²	semidirect
89. C₄⋊C₄×Dic₁₃	C₂²	semidirect
90. C₄⋊C₄×Dic₁₃	C₂²	semidirect
91. C₄⋊C₄×Dic₁₃	C₂²	semidirect
92. C₄⋊C₄×Dic₁₃	C₂²	semidirect
113. #11718601	C₂²	semidirect
117. C₄×#6103	C₂²	semidirect
118. #11718597	C₂²	semidirect
119. #11718594	C₂²	semidirect
120. #11718594	C₂²	semidirect
121. #11718594	C₂²	semidirect
122. C₄²×Dic₁₃	C₂²	semidirect
125. #11718336	C₂²	semidirect
126. #11718336	C₂²	semidirect
129. #11718334	C₂²	semidirect
133. #11718331	C₂²	semidirect
136. #11718329	C₂²	semidirect
137. #11718329	C₂²	semidirect
152. #11718327	C₂²	semidirect
153. #11718327	C₂²	semidirect
154. #11718327	C₂²	semidirect
155. #11718327	C₂²	semidirect
163. #11718325	C₂²	semidirect
166. C₁₃⋊#401	C₂²	semidirect
167. #11718321	C₂²	semidirect
168. #11718320	C₂²	semidirect
169. #11718319	C₂²	semidirect
170. #11718318	C₂²	semidirect
171. #11718317	C₂²	semidirect
172. #11718316	C₂²	semidirect
173. #11718316	C₂²	semidirect
174. #11718314	C₂²	semidirect
175. #11718313	C₂²	semidirect
176. #11718313	C₂²	semidirect
177. #11718312	C₂²	semidirect
178. #11718312	C₂²	semidirect
179. #11718312	C₂²	semidirect
180. #11718310	C₂²	semidirect
181. #11718310	C₂²	semidirect
182. #11718310	C₂²	semidirect
183. #11718309	C₂²	semidirect
184. #11718309	C₂²	semidirect
185. #11718308	C₂²	semidirect
186. #11718307	C₂²	semidirect
542. #2575	D₁₃	semidirect
729. #400	C₂×D₁₃	semidirect
730. #400	C₂×D₁₃	semidirect
781. #387	C₂×D₁₃	semidirect
782. #387	C₂×D₁₃	semidirect
783. #387	C₂×D₁₃	semidirect
784. #387	C₂×D₁₃	semidirect
805. #382	C₂×D₁₃	semidirect
831. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
1284. C₁₃	#34849	semidirect

Maximal subgroups

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

subgroup	index
#13120172	2
#13120149	2
#13120140	2
#13120114	2
#13120099	2
#13120082	2
#13120058	2
#13120015	2
#13119992	2
#13119888	2
#13119730	2
#13119224	2
#13119083	2
#13118316	2
#13118301	2
#13118135	2
#13118125	2
#13118105	2
#13118094	2
#13117386	2
#13117370	2
#13117357	2
#13117337	2
#13117330	2
#13117278	2
#13117229	2
#13117216	2
C₄×#88147	2
C₄×C₂²⋊C₄×D₁₃	2
C₁₃×#2575	2
#34849	13