Subgroups — #16071733

Order 3328.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123131	C₂	1	1	yes	maximal, characteristic, complemented
2	#13123119	C₂	1	1	yes	maximal, characteristic, complemented
3	#13122780	C₂	1	1	yes	maximal, characteristic, complemented
4	#13122688	C₂	1	1	yes	maximal, characteristic, complemented
5	#13122580	C₂	1	1	yes	maximal, characteristic, complemented
6	#13122539	C₂	1	1	yes	maximal, characteristic, complemented
7	#13122490	C₂	1	1	yes	maximal, characteristic, complemented
8	#13122460	C₂	1	1	yes	maximal, characteristic, complemented
9	#13122092	C₂	1	1	yes	maximal, characteristic, complemented
10	#13122073	C₂	1	1	yes	maximal, characteristic, complemented
11	#13122008	C₂	1	1	yes	maximal, characteristic, complemented
12	#13121630	C₂	1	1	yes	maximal, characteristic, complemented
13	#13121573	C₂	1	1	yes	maximal, characteristic, complemented
14	#13121561	C₂	1	1	yes	maximal, characteristic, complemented
15	#13121561	C₂	1	1	yes	maximal, characteristic, complemented
16	#13121373	C₂	1	1	yes	maximal, characteristic, complemented
17	#13121249	C₂	1	1	yes	maximal, characteristic, complemented
18	#13121198	C₂	1	1	yes	maximal, characteristic, complemented
19	#13120792	C₂	1	1	yes	maximal, characteristic, complemented
20	#13120770	C₂	1	1	yes	maximal, characteristic, complemented
21	#13119104	C₂	1	1	yes	maximal, characteristic, complemented
22	#13118969	C₂	1	1	yes	maximal, characteristic, complemented
23	#13118575	C₂	1	1	yes	maximal, characteristic, complemented
24	#13118446	C₂	1	1	yes	maximal, characteristic, complemented
25	#13118370	C₂	1	1	yes	maximal, characteristic, complemented
26	#13118215	C₂	1	1	yes	maximal, characteristic, complemented
27	#13118157	C₂	1	1	yes	maximal, characteristic, complemented
28	#13117502	C₂	1	1	yes	maximal, characteristic, complemented
29	#13117424	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11718329	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2438	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6127	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
36	C₂×#88201	C₂²	1	1	yes	characteristic
37	C₂×#88184	C₂²	1	1	yes	characteristic
38	C₂×#88184	C₂²	1	1	yes	characteristic
39	C₂×#88183	C₂²	1	1	yes	characteristic
40	C₂²×#6103	C₂²	1	1	yes	characteristic
41	C₂²×#6103	C₂²	1	1	yes	characteristic
42	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
43	C₂²×#6101	C₂²	1	1	yes	characteristic
44	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88149	C₂²	1	1	yes	characteristic
46	C₂×#88149	C₂²	1	1	yes	characteristic
47	C₂×#88149	C₂²	1	1	yes	characteristic
48	C₂×#88148	C₂²	1	1	yes	characteristic
49	C₂×#88148	C₂²	1	1	yes	characteristic
50	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88136	C₂²	1	1	yes	characteristic
52	C₂×#88136	C₂²	1	1	yes	characteristic
53	C₂×#88136	C₂²	1	1	yes	characteristic
54	C₂×#88135	C₂²	1	1	yes	characteristic
55	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#385	C₂²	1	1	yes	characteristic
64	C₁₃×#385	C₂²	1	1	yes	characteristic
65	C₁₃×#381	C₂²	1	1	yes	characteristic
66	C₁₃×#380	C₂²	1	1	yes	characteristic
67	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
68	#11718892	C₂²	1	1	yes	characteristic
69	#11718892	C₂²	1	1	yes	characteristic, complemented
70	#11718892	C₂²	1	1	yes	characteristic, complemented
71	#11718874	C₂²	1	1	yes	characteristic
72	#11718874	C₂²	1	1	yes	characteristic
73	C₂×#88071	C₂²	1	1	yes	characteristic
74	#11718655	C₂²	1	1	yes	characteristic
75	#11718655	C₂²	1	1	yes	characteristic
76	#11718655	C₂²	1	1	yes	characteristic
77	#11718655	C₂²	1	1	yes	characteristic, complemented
78	#11718655	C₂²	1	1	yes	characteristic, complemented
79	#11718654	C₂²	1	1	yes	characteristic
80	#11718654	C₂²	1	1	yes	characteristic, complemented
81	#11718654	C₂²	1	1	yes	characteristic, complemented
82	#11718654	C₂²	1	1	yes	characteristic, complemented
83	#11718653	C₂²	1	1	yes	characteristic, complemented
84	#11718652	C₂²	1	1	yes	characteristic
85	#11718652	C₂²	1	1	yes	characteristic
86	#11718652	C₂²	1	1	yes	characteristic
87	#11718652	C₂²	1	1	yes	characteristic
88	#11718652	C₂²	1	1	yes	characteristic
89	#11718652	C₂²	1	1	yes	characteristic, complemented
90	#11718652	C₂²	1	1	yes	characteristic, complemented
91	#11718651	C₂²	1	1	yes	characteristic
92	#11718651	C₂²	1	1	yes	characteristic
93	#11718650	C₂²	1	1	yes	characteristic
94	#11718650	C₂²	1	1	yes	characteristic
95	#11718650	C₂²	1	1	yes	characteristic, complemented
96	#11718649	C₂²	1	1	yes	characteristic
97	#11718649	C₂²	1	1	yes	characteristic
98	#11718648	C₂²	1	1	yes	characteristic
99	#11718648	C₂²	1	1	yes	characteristic
100	#11718648	C₂²	1	1	yes	characteristic, complemented
101	#11718648	C₂²	1	1	yes	characteristic, complemented
102	#11718648	C₂²	1	1	yes	characteristic, complemented
103	#11718648	C₂²	1	1	yes	characteristic, complemented
104	#11718647	C₂²	1	1	yes	characteristic, complemented
105	#11718647	C₂²	1	1	yes	characteristic, complemented
106	#11718647	C₂²	1	1	yes	characteristic, complemented
107	#11718645	C₂²	1	1	yes	characteristic, complemented
108	#11718643	C₂²	1	1	yes	characteristic, complemented
109	#11718643	C₂²	1	1	yes	characteristic, complemented
110	#11718639	C₂²	1	1	yes	characteristic, complemented
111	#11718619	C₂²	1	1	yes	characteristic
112	#11718619	C₂²	1	1	yes	characteristic
113	#11718619	C₂²	1	1	yes	characteristic
114	#11718619	C₂²	1	1	yes	characteristic
115	#11718619	C₂²	1	1	yes	characteristic
116	#11718619	C₂²	1	1	yes	characteristic
117	#11718619	C₂²	1	1	yes	characteristic
118	#11718619	C₂²	1	1	yes	characteristic
119	#11718616	C₂²	1	1	yes	characteristic
120	#11718611	C₂²	1	1	yes	characteristic
121	#11718607	C₂²	1	1	yes	characteristic
122	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
123	#11718601	C₂²	1	1	yes	characteristic
124	#11718601	C₂²	1	1	yes	characteristic
125	#11718600	C₂²	1	1	yes	characteristic
126	#11718600	C₂²	1	1	yes	characteristic
127	#11718600	C₂²	1	1	yes	characteristic, complemented
128	#11718600	C₂²	1	1	yes	characteristic, complemented
129	#11718590	C₂²	1	1	yes	characteristic, complemented
130	#11718590	C₂²	1	1	yes	characteristic, complemented
131	#11718336	C₂²	1	1	yes	characteristic, complemented
132	#11718336	C₂²	1	1	yes	characteristic, complemented
133	#11718336	C₂²	1	1	yes	characteristic, complemented
134	#11718335	C₂²	1	1	yes	characteristic, complemented
135	#11718334	C₂²	1	1	yes	characteristic
136	#11718334	C₂²	1	1	yes	characteristic
137	#11718334	C₂²	1	1	yes	characteristic, complemented
138	#11718333	C₂²	1	1	yes	characteristic
139	#11718333	C₂²	1	1	yes	characteristic, complemented
140	#11718333	C₂²	1	1	yes	characteristic, complemented
141	#11718332	C₂²	1	1	yes	characteristic
142	#11718332	C₂²	1	1	yes	characteristic
143	#11718332	C₂²	1	1	yes	characteristic
144	#11718332	C₂²	1	1	yes	characteristic, complemented
145	#11718331	C₂²	1	1	yes	characteristic
146	#11718331	C₂²	1	1	yes	characteristic, complemented
147	#11718331	C₂²	1	1	yes	characteristic, complemented
148	#11718330	C₂²	1	1	yes	characteristic, complemented
149	#11718330	C₂²	1	1	yes	characteristic, complemented
150	#11718329	C₂²	1	1	yes	characteristic
151	#11718329	C₂²	1	1	yes	characteristic
152	#11718329	C₂²	1	1	yes	characteristic
153	#11718329	C₂²	1	1	yes	characteristic
154	#11718329	C₂²	1	1	yes	characteristic
155	#11718329	C₂²	1	1	yes	characteristic
156	#11718329	C₂²	1	1	yes	characteristic
157	#11718329	C₂²	1	1	yes	characteristic
158	#11718329	C₂²	1	1	yes	characteristic, complemented
159	#11718329	C₂²	1	1	yes	characteristic, complemented
160	#11718329	C₂²	1	1	yes	characteristic, complemented
161	#11718329	C₂²	1	1	yes	characteristic, complemented
162	#11718326	C₂²	1	1	yes	characteristic
163	#11718326	C₂²	1	1	yes	characteristic
164	#11718326	C₂²	1	1	yes	characteristic
165	#11718326	C₂²	1	1	yes	characteristic
166	#11718326	C₂²	1	1	yes	characteristic
167	#11718326	C₂²	1	1	yes	characteristic
168	#11718326	C₂²	1	1	yes	characteristic
169	#11718326	C₂²	1	1	yes	characteristic
170	#11718326	C₂²	1	1	yes	characteristic
171	#11718326	C₂²	1	1	yes	characteristic
172	#11718326	C₂²	1	1	yes	characteristic
173	#11718326	C₂²	1	1	yes	characteristic, complemented
174	#11718326	C₂²	1	1	yes	characteristic, complemented
175	#11718325	C₂²	1	1	yes	characteristic
176	#11718325	C₂²	1	1	yes	characteristic
177	C₁₃⋊#401	C₂²	1	1	yes	characteristic, complemented
178	#11718321	C₂²	1	1	yes	characteristic, complemented
179	#11718321	C₂²	1	1	yes	characteristic, complemented
180	#11718317	C₂²	1	1	yes	characteristic, complemented
181	#11718316	C₂²	1	1	yes	characteristic, complemented
182	#11718316	C₂²	1	1	yes	characteristic, complemented
183	#11718316	C₂²	1	1	yes	characteristic, complemented
184	#11718315	C₂²	1	1	yes	characteristic, complemented
185	#11718308	C₂²	1	1	yes	characteristic, complemented
186	#11718308	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
198	C₂×#6127	—	2	4	no	—
199	C₂×#6127	—	4	2	no	—
200	C₂×#6127	—	4	2	no	—
201	C₂²×D₅₂	C₂³	1	1	yes	characteristic
202	C₂²×D₅₂	C₂³	1	1	yes	characteristic
203	C₂²×D₅₂	C₂³	1	1	yes	characteristic
204	C₂²×D₅₂	C₂³	1	1	yes	characteristic
205	C₂²×D₅₂	C₂³	1	1	yes	characteristic
206	C₂²×D₅₂	C₂³	1	1	yes	characteristic
207	C₂²×D₅₂	C₂³	1	1	yes	characteristic
208	C₂²×D₅₂	C₂³	1	1	yes	characteristic
209	C₂²×D₅₂	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	—	4	2	no	—
211	C₂²×C₄×D₁₃	—	4	2	no	—
212	C₂²×C₄×D₁₃	—	4	2	no	—
213	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
220	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	—	4	2	no	—
222	C₁₃×#117	—	4	2	no	—
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
241	#88201	—	4	2	no	—
242	#88184	—	4	2	no	—
243	#88184	—	4	2	no	—
244	#88183	—	2	4	no	—
245	C₂×#6103	—	2	4	no	—
246	C₂×#6103	—	4	2	no	—
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×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	1	yes	characteristic
273	C₂×#6103	C₂³	1	1	yes	characteristic
274	C₂×#6103	C₂³	1	1	yes	characteristic
275	C₂×#6103	C₂³	1	1	yes	characteristic
276	C₂×#6103	C₂³	1	1	yes	characteristic
277	C₂×#6103	C₂³	1	1	yes	characteristic
278	C₂×#6103	C₂³	1	1	yes	characteristic
279	C₂×#6103	C₂³	1	1	yes	characteristic
280	C₂×#6103	C₂³	1	1	yes	characteristic
281	C₂×#6103	C₂³	1	1	yes	characteristic
282	C₂×#6103	C₂³	1	1	yes	characteristic
283	C₂×#6103	C₂³	1	1	yes	characteristic
284	C₂×#6103	C₂³	1	1	yes	characteristic
285	C₂×#6103	C₂³	1	1	yes	characteristic
286	C₂×#6103	C₂³	1	1	yes	characteristic
287	C₂×#6103	C₂³	1	1	yes	characteristic
288	C₂×#6103	C₂³	1	1	yes	characteristic
289	C₂×#6103	C₂³	1	1	yes	characteristic
290	C₂×#6103	C₂³	1	1	yes	characteristic
291	C₂×#6103	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₁₃	—	4	2	no	—
293	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×#6101	—	4	2	no	—
302	C₂×#6101	C₂³	1	1	yes	characteristic
303	C₂×#6101	C₂³	1	1	yes	characteristic
304	C₂×#6101	C₂³	1	1	yes	characteristic
305	C₂×#6101	C₂³	1	1	yes	characteristic
306	C₂×#6101	C₂³	1	1	yes	characteristic
307	C₂×#6101	C₂³	1	1	yes	characteristic
308	C₂×#6101	C₂³	1	1	yes	characteristic
309	C₂×#6101	C₂³	1	1	yes	characteristic
310	C₂×#6101	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
314	#88152	—	4	2	no	—
315	#88149	—	4	2	no	—
316	#88149	—	4	2	no	—
317	#88149	—	4	2	no	—
318	#88148	—	4	2	no	—
319	#88148	—	4	2	no	—
320	#88148	—	4	2	no	—
321	#88136	—	4	2	no	—
322	#88136	—	4	2	no	—
323	#88136	—	4	2	no	—
324	#88135	—	4	2	no	—
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	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	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#36791	—	13	1	no	maximal, Sylow
370	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂³×D₁₃	—	2	2	no	—
372	C₂³×D₁₃	—	2	2	no	—
373	C₂³×D₁₃	—	2	2	no	—
374	C₂³×D₁₃	—	2	2	no	—
375	C₂³×D₁₃	—	2	2	no	—
376	C₂³×D₁₃	—	4	1	no	—
377	C₂³×D₁₃	—	4	1	no	—
378	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
379	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
380	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
381	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
382	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×Q₈×C₁₃	—	4	1	no	—
384	C₂×Q₈×C₁₃	—	4	1	no	—
385	C₂×Q₈×C₁₃	—	4	1	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	4	1	no	—
392	C₂²×C₄×C₁₃	—	4	1	no	—
393	C₂²×C₄×C₁₃	—	4	1	no	—
394	C₂²×C₄×C₁₃	#41	1	4	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₂²⋊D₁₃	—	2	2	no	—
410	C₂×C₂²⋊D₁₃	—	2	2	no	—
411	C₂×C₂²⋊D₁₃	—	2	2	no	—
412	C₂×C₂²⋊D₁₃	—	2	2	no	—
413	C₂×C₂²⋊D₁₃	—	2	2	no	—
414	C₂×C₂²⋊D₁₃	—	2	2	no	—
415	C₂×C₂²⋊D₁₃	—	2	2	no	—
416	C₂×C₂²⋊D₁₃	—	2	2	no	—
417	C₂×C₂²⋊D₁₃	—	2	2	no	—
418	C₂²×Dic₁₃	—	2	2	no	—
419	C₂²×Dic₁₃	—	2	2	no	—
420	C₂²×Dic₁₃	—	2	2	no	—
421	C₂²×Dic₁₃	—	4	1	no	—
422	C₂²×Dic₁₃	—	4	1	no	—
423	C₂²×Dic₁₃	—	4	1	no	—
424	C₂²×Dic₁₃	—	4	1	no	—
425	C₂²×Dic₁₃	—	4	1	no	—
426	C₂²×Dic₁₃	—	4	1	no	—
427	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	#6127	—	4	16	no	—
439	C₂×D₅₂	—	2	2	no	—
440	C₂×D₅₂	—	2	2	no	—
441	C₂×D₅₂	—	2	2	no	—
442	C₂×D₅₂	—	2	2	no	—
443	C₂×D₅₂	—	2	2	no	—
444	C₂×D₅₂	—	2	2	no	—
445	C₂×D₅₂	—	2	2	no	—
446	C₂×D₅₂	—	2	2	no	—
447	C₂×D₅₂	—	4	1	no	—
448	C₂×D₅₂	—	4	1	no	—
449	C₂×D₅₂	—	4	1	no	—
450	C₂×D₅₂	—	4	1	no	—
451	C₂×D₅₂	—	4	1	no	—
452	C₂×D₅₂	—	4	1	no	—
453	C₂×D₅₂	—	4	1	no	—
454	C₂×D₅₂	—	4	1	no	—
455	C₂×D₅₂	—	4	1	no	—
456	C₂×D₅₂	—	4	1	no	—
457	C₂×D₅₂	—	4	1	no	—
458	C₂×D₅₂	—	4	1	no	—
459	C₂×D₅₂	—	4	1	no	—
460	C₂×D₅₂	—	4	1	no	—
461	C₂×D₅₂	—	4	1	no	—
462	C₂×D₅₂	—	4	1	no	—
463	C₂×D₅₂	—	4	1	no	—
464	C₂×D₅₂	—	4	1	no	—
465	C₂×D₅₂	—	4	1	no	—
466	C₂×C₄×D₁₃	—	2	2	no	—
467	C₂×C₄×D₁₃	—	2	2	no	—
468	C₂×C₄×D₁₃	—	2	2	no	—
469	C₂×C₄×D₁₃	—	2	2	no	—
470	C₂×C₄×D₁₃	—	2	2	no	—
471	C₂×C₄×D₁₃	—	2	2	no	—
472	C₂×C₄×D₁₃	—	4	1	no	—
473	C₂×C₄×D₁₃	—	4	1	no	—
474	C₂×C₄×D₁₃	—	4	1	no	—
475	C₂×C₄×D₁₃	—	4	1	no	—
476	C₂×C₄×D₁₃	—	4	1	no	—
477	C₂×C₄×D₁₃	—	4	1	no	—
478	C₂×C₄×D₁₃	—	4	1	no	—
479	C₂×C₄×D₁₃	—	4	1	no	—
480	C₂×C₄×D₁₃	—	4	1	no	—
481	C₂×C₄×D₁₃	—	4	1	no	—
482	C₂×C₄×D₁₃	—	4	1	no	—
483	C₂×C₄×D₁₃	—	4	1	no	—
484	C₂×C₄×D₁₃	—	4	16	no	—
485	C₂×C₄×D₁₃	—	4	1	no	—
486	C₂×C₄×D₁₃	—	4	1	no	—
487	C₂×C₄×D₁₃	—	4	1	no	—
488	C₂×Dic₂₆	—	2	2	no	—
489	C₂×Dic₂₆	—	4	1	no	—
490	C₂×Dic₂₆	—	4	1	no	—
491	C₁₃×C₄⋊C₄	—	2	2	no	—
492	C₁₃×C₄⋊C₄	—	2	2	no	—
493	C₁₃×C₄⋊C₄	—	4	1	no	—
494	C₁₃×C₄⋊C₄	—	4	1	no	—
495	C₁₃×C₄⋊C₄	—	4	1	no	—
496	C₁₃×C₄⋊C₄	—	4	1	no	—
497	C₁₃×C₄⋊C₄	—	4	1	no	—
498	C₁₃×C₄⋊C₄	—	4	1	no	—
499	C₁₃×C₄⋊C₄	—	4	1	no	—
500	C₁₃×C₄⋊C₄	—	4	1	no	—
501	C₁₃×C₄⋊C₄	—	4	1	no	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
503	C₁₃×C₂²⋊C₄	—	2	2	no	—
504	C₁₃×C₂²⋊C₄	—	2	2	no	—
505	C₁₃×C₂²⋊C₄	—	2	2	no	—
506	C₄²×C₁₃	—	4	1	no	—
507	C₄²×C₁₃	—	4	1	no	—
508	C₂²⋊Dic₁₃	—	2	2	no	—
509	#6103	—	2	2	no	—
510	#6103	—	2	2	no	—
511	#6103	—	2	2	no	—
512	#6103	—	2	2	no	—
513	#6103	—	2	2	no	—
514	#6103	—	2	2	no	—
515	#6103	—	2	2	no	—
516	#6103	—	2	2	no	—
517	#6103	—	2	2	no	—
518	#6103	—	2	2	no	—
519	#6103	—	2	2	no	—
520	#6103	—	4	1	no	—
521	#6103	—	4	1	no	—
522	#6103	—	4	1	no	—
523	#6103	—	4	1	no	—
524	#6103	—	4	1	no	—
525	#6103	—	4	1	no	—
526	#6103	—	4	1	no	—
527	#6103	—	4	1	no	—
528	#6103	—	4	1	no	—
529	#6103	—	4	1	no	—
530	#6103	—	4	1	no	—
531	#6103	—	4	1	no	—
532	#6103	—	4	1	no	—
533	#6103	—	4	1	no	—
534	#6103	—	4	1	no	—
535	#6103	—	4	1	no	—
536	#6103	—	4	1	no	—
537	#6103	—	4	1	no	—
538	#6103	—	4	1	no	—
539	#6103	—	4	1	no	—
540	#6103	—	4	1	no	—
541	#6103	—	4	1	no	—
542	#6103	—	4	1	no	—
543	#6103	—	4	1	no	—
544	#6103	—	4	1	no	—
545	#6103	—	4	1	no	—
546	#6103	—	4	1	no	—
547	#6103	—	4	1	no	—
548	#6103	—	4	1	no	—
549	#6103	—	4	1	no	—
550	#6103	—	4	1	no	—
551	#6103	—	4	1	no	—
552	#6103	—	4	1	no	—
553	#6103	—	4	1	no	—
554	C₄⋊Dic₁₃	—	4	1	no	—
555	C₄⋊Dic₁₃	—	4	1	no	—
556	C₄⋊Dic₁₃	—	4	1	no	—
557	C₄⋊Dic₁₃	—	4	1	no	—
558	C₄⋊Dic₁₃	—	4	1	no	—
559	C₄⋊Dic₁₃	—	4	1	no	—
560	C₄⋊Dic₁₃	—	4	1	no	—
561	C₄⋊Dic₁₃	—	4	1	no	—
562	#6101	—	2	2	no	—
563	#6101	—	2	2	no	—
564	#6101	—	2	2	no	—
565	#6101	—	2	2	no	—
566	#6101	—	4	1	no	—
567	#6101	—	4	1	no	—
568	#6101	—	4	1	no	—
569	#6101	—	4	1	no	—
570	#6101	—	4	1	no	—
571	C₄×Dic₁₃	—	4	1	no	—
572	C₄×Dic₁₃	—	4	1	no	—
573	C₄×Dic₁₃	—	4	1	no	—
574	#2849	—	13	1	no	—
575	#2847	—	13	1	no	—
576	#2804	—	13	1	no	—
577	#2797	—	13	1	no	—
578	#2788	—	13	1	no	—
579	#2784	—	13	1	no	—
580	#2780	—	13	1	no	—
581	#2778	—	13	1	no	—
582	#2751	—	13	1	no	—
583	#2750	—	13	1	no	—
584	#2745	—	13	1	no	—
585	#2714	—	13	1	no	—
586	#2710	—	13	1	no	—
587	#2708	—	13	1	no	—
588	#2708	—	13	1	no	—
589	#2695	—	13	1	no	—
590	#2686	—	13	1	no	—
591	#2682	—	13	1	no	—
592	#2643	—	13	1	no	—
593	#2639	—	13	1	no	—
594	#2481	—	13	1	no	—
595	#2472	—	13	1	no	—
596	#2443	—	13	1	no	—
597	#2438	D₁₃	1	1	yes	characteristic, complemented
598	#2430	—	13	1	no	—
599	#2424	—	13	1	no	—
600	#2411	—	13	1	no	—
601	#2404	—	13	1	no	—
602	#2322	—	13	1	no	—
603	#2311	—	13	1	no	—
604	C₂×#385	—	13	1	no	—
605	C₂³×C₁₃	—	2	1	no	—
606	C₂³×C₁₃	—	2	1	no	—
607	C₂³×C₁₃	—	2	1	no	—
608	C₂³×C₁₃	—	2	1	no	—
609	C₂³×C₁₃	C₂×#41	1	2	yes	—
610	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
611	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
612	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
613	C₂²×D₁₃	—	2	8	no	—
614	C₂²×D₁₃	—	2	1	no	—
615	C₂²×D₁₃	—	2	1	no	—
616	C₂²×D₁₃	—	2	1	no	—
617	C₂²×D₁₃	—	2	1	no	—
618	C₂²×D₁₃	—	2	1	no	—
619	C₂²×D₁₃	—	2	1	no	—
620	C₂²×D₁₃	—	2	1	no	—
621	C₂²×D₁₃	—	2	1	no	—
622	C₂²×D₁₃	—	2	1	no	—
623	C₂²×D₁₃	—	2	1	no	—
624	C₂²×D₁₃	—	2	1	no	—
625	C₂²×D₁₃	—	2	1	no	—
626	C₂²×D₁₃	—	2	1	no	—
627	C₂²×D₁₃	—	2	1	no	—
628	C₂²×D₁₃	—	2	1	no	—
629	C₂²×D₁₃	—	2	1	no	—
630	C₂²×D₁₃	—	2	1	no	—
631	C₂²×D₁₃	—	2	1	no	—
632	C₂²×D₁₃	—	2	1	no	—
633	C₂²×D₁₃	—	2	1	no	—
634	C₂²×D₁₃	—	2	1	no	—
635	C₂²×D₁₃	—	2	1	no	—
636	C₂²×D₁₃	—	2	1	no	—
637	C₂²×D₁₃	—	2	1	no	—
638	C₂²×D₁₃	—	2	1	no	—
639	C₂²×D₁₃	—	2	1	no	—
640	C₂²×D₁₃	—	2	1	no	—
641	C₂²×D₁₃	—	2	1	no	—
642	C₂²×D₁₃	—	2	1	no	—
643	C₂²×D₁₃	—	2	1	no	—
644	C₂²×D₁₃	—	2	1	no	—
645	C₂²×D₁₃	—	2	1	no	—
646	C₂²×D₁₃	—	2	1	no	—
647	C₂²×D₁₃	—	4	4	no	—
648	C₂²×D₁₃	—	4	4	no	—
649	C₂²×D₁₃	—	4	4	no	—
650	C₂²×D₁₃	—	4	4	no	—
651	C₂²×D₁₃	—	4	4	no	—
652	C₂²×D₁₃	—	4	4	no	—
653	C₂²×D₁₃	H(5,𝔽₂)	1	2	yes	—
654	C₂²×D₁₃	2₋¹⁺⁴	1	2	yes	—
655	Q₈×C₁₃	—	8	2	no	—
656	C₂×C₄×C₁₃	—	2	8	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	2	1	no	—
674	C₂×C₄×C₁₃	—	2	1	no	—
675	C₂×C₄×C₁₃	—	2	1	no	—
676	C₂×C₄×C₁₃	—	2	1	no	—
677	C₂×C₄×C₁₃	—	2	1	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	2	1	no	—
680	C₂×C₄×C₁₃	—	2	1	no	—
681	C₂×C₄×C₁₃	—	2	1	no	—
682	C₂×C₄×C₁₃	—	2	1	no	—
683	C₂×C₄×C₁₃	—	2	1	no	—
684	C₂×C₄×C₁₃	—	2	1	no	—
685	C₂×C₄×C₁₃	—	2	1	no	—
686	C₂×C₄×C₁₃	—	2	1	no	—
687	C₂×C₄×C₁₃	—	2	1	no	—
688	C₂×C₄×C₁₃	—	2	1	no	—
689	C₂×C₄×C₁₃	—	2	1	no	—
690	C₂×C₄×C₁₃	—	2	1	no	—
691	C₂×C₄×C₁₃	—	2	1	no	—
692	C₂×C₄×C₁₃	—	2	1	no	—
693	C₂×C₄×C₁₃	—	2	1	no	—
694	C₂×C₄×C₁₃	—	2	1	no	—
695	C₂×C₄×C₁₃	—	2	1	no	—
696	C₂×C₄×C₁₃	—	4	4	no	—
697	C₂×C₄×C₁₃	—	8	2	no	—
698	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
699	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
700	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
701	C₂²⋊D₁₃	—	4	4	no	—
702	C₂²⋊D₁₃	—	4	4	no	—
703	C₂²⋊D₁₃	—	4	4	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	2	1	no	—
708	C₂×Dic₁₃	—	2	1	no	—
709	C₂×Dic₁₃	—	2	1	no	—
710	C₂×Dic₁₃	—	2	1	no	—
711	C₂×Dic₁₃	—	2	1	no	—
712	C₂×Dic₁₃	—	2	1	no	—
713	C₂×Dic₁₃	—	2	1	no	—
714	C₂×Dic₁₃	—	2	1	no	—
715	C₂×Dic₁₃	—	2	1	no	—
716	C₂×Dic₁₃	—	2	1	no	—
717	C₂×Dic₁₃	—	2	1	no	—
718	C₂×Dic₁₃	—	2	1	no	—
719	C₂×Dic₁₃	—	2	1	no	—
720	C₂×Dic₁₃	—	2	1	no	—
721	C₂×Dic₁₃	—	2	1	no	—
722	C₂×Dic₁₃	—	2	1	no	—
723	C₂×Dic₁₃	—	2	1	no	—
724	C₂×Dic₁₃	—	2	1	no	—
725	C₂×Dic₁₃	—	2	1	no	—
726	C₂×Dic₁₃	—	2	1	no	—
727	C₂×Dic₁₃	—	2	1	no	—
728	C₂×Dic₁₃	—	2	1	no	—
729	C₂×Dic₁₃	—	2	1	no	—
730	C₂×Dic₁₃	—	2	1	no	—
731	C₂×Dic₁₃	—	2	1	no	—
732	C₂×Dic₁₃	—	2	1	no	—
733	C₂×Dic₁₃	—	2	1	no	—
734	C₂×Dic₁₃	—	2	1	no	—
735	C₂×Dic₁₃	—	2	1	no	—
736	C₂×Dic₁₃	—	2	1	no	—
737	C₂×Dic₁₃	—	4	4	no	—
738	C₂×Dic₁₃	—	4	4	no	—
739	C₂×Dic₁₃	—	8	2	no	—
740	D₅₂	—	4	4	no	—
741	D₅₂	—	8	2	no	—
742	D₅₂	—	8	2	no	—
743	D₅₂	—	8	2	no	—
744	D₅₂	—	8	2	no	—
745	D₅₂	—	8	2	no	—
746	D₅₂	—	8	2	no	—
747	D₅₂	—	8	2	no	—
748	D₅₂	—	8	2	no	—
749	C₄×D₁₃	—	4	4	no	—
750	C₄×D₁₃	—	4	4	no	—
751	C₄×D₁₃	—	4	4	no	—
752	C₄×D₁₃	—	4	4	no	—
753	C₄×D₁₃	—	4	4	no	—
754	C₄×D₁₃	—	4	4	no	—
755	C₄×D₁₃	—	8	2	no	—
756	Dic₂₆	—	4	4	no	—
757	C₂²×#41	—	13	1	no	—
758	C₂⁴×C₄	—	13	1	no	—
759	C₂×#126	—	13	1	no	—
760	C₂×#124	—	13	1	no	—
761	C₂×#123	—	13	1	no	—
762	C₂×#123	—	13	1	no	—
763	C₂×#123	—	13	1	no	—
764	C₂×#123	—	13	1	no	—
765	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
766	C₂×#121	—	13	1	no	—
767	C₂×#121	—	13	1	no	—
768	C₂×#121	—	13	1	no	—
769	C₂×#121	—	13	1	no	—
770	C₂×#121	—	13	1	no	—
771	C₂×#120	—	13	1	no	—
772	C₂×#120	—	13	1	no	—
773	C₂×#120	—	13	1	no	—
774	C₂×C₄×D₄	—	13	1	no	—
775	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
776	C₂²×C₄⋊C₄	—	13	1	no	—
777	C₂²×C₄⋊C₄	—	13	1	no	—
778	C₂²×C₂²⋊C₄	—	13	1	no	—
779	C₂²×C₂²⋊C₄	—	13	1	no	—
780	#401	—	13	1	no	—
781	#400	—	13	1	no	—
782	#400	—	13	1	no	—
783	#400	—	13	1	no	—
784	#400	—	13	1	no	—
785	#400	—	13	1	no	—
786	#400	—	13	1	no	—
787	#400	—	13	1	no	—
788	#400	C₂×D₁₃	1	1	yes	characteristic, complemented
789	#399	—	13	1	no	—
790	#398	—	13	1	no	—
791	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
792	#398	C₂×D₁₃	1	1	yes	characteristic, complemented
793	#397	—	13	1	no	—
794	#397	—	13	1	no	—
795	#397	—	13	1	no	—
796	#397	—	13	1	no	—
797	#397	—	13	1	no	—
798	#397	—	13	1	no	—
799	#397	—	13	1	no	—
800	#397	—	13	1	no	—
801	#396	—	13	1	no	—
802	#396	—	13	1	no	—
803	#396	—	13	1	no	—
804	#396	—	13	1	no	—
805	#396	—	13	1	no	—
806	#395	—	13	1	no	—
807	#395	C₂×D₁₃	1	1	yes	characteristic, complemented
808	#394	—	13	1	no	—
809	#394	—	13	1	no	—
810	#394	—	13	1	no	—
811	#394	—	13	1	no	—
812	#394	—	13	1	no	—
813	#394	—	13	1	no	—
814	#394	—	13	1	no	—
815	#394	—	13	1	no	—
816	#394	—	13	1	no	—
817	#394	—	13	1	no	—
818	#393	—	13	1	no	—
819	#393	—	13	1	no	—
820	#393	—	13	1	no	—
821	#393	—	13	1	no	—
822	#393	—	13	1	no	—
823	#393	—	13	1	no	—
824	#392	—	13	1	no	—
825	#392	—	13	1	no	—
826	#392	—	13	1	no	—
827	#392	—	13	1	no	—
828	#391	—	13	1	no	—
829	#391	—	13	1	no	—
830	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
831	#390	—	13	1	no	—
832	#390	—	13	1	no	—
833	#390	—	13	1	no	—
834	#390	—	13	1	no	—
835	#390	—	13	1	no	—
836	#390	—	13	1	no	—
837	#389	—	13	1	no	—
838	#389	—	13	1	no	—
839	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
840	#388	—	13	1	no	—
841	#388	—	13	1	no	—
842	#388	—	13	1	no	—
843	#388	—	13	1	no	—
844	#388	—	13	1	no	—
845	#388	—	13	1	no	—
846	#388	—	13	1	no	—
847	#388	—	13	1	no	—
848	#388	—	13	1	no	—
849	#387	—	13	1	no	—
850	#387	—	13	1	no	—
851	#387	—	13	1	no	—
852	#387	—	13	1	no	—
853	#387	—	13	1	no	—
854	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
855	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
856	#386	—	13	1	no	—
857	#386	—	13	1	no	—
858	#386	—	13	1	no	—
859	#386	—	13	1	no	—
860	#386	—	13	1	no	—
861	#386	—	13	1	no	—
862	#386	—	13	1	no	—
863	#386	—	13	1	no	—
864	#386	—	13	1	no	—
865	#386	—	13	1	no	—
866	#386	—	13	1	no	—
867	#386	—	13	1	no	—
868	#386	—	13	1	no	—
869	#386	—	13	1	no	—
870	#386	—	13	1	no	—
871	#386	—	13	1	no	—
872	#386	—	13	1	no	—
873	#386	—	13	1	no	—
874	#386	—	13	1	no	—
875	#386	—	13	1	no	—
876	#386	—	13	1	no	—
877	#386	—	13	1	no	—
878	#386	—	13	1	no	—
879	#385	—	13	1	no	—
880	#385	—	13	1	no	—
881	#385	—	13	1	no	—
882	#385	—	13	1	no	—
883	#385	—	13	1	no	—
884	#385	—	13	1	no	—
885	#385	—	13	1	no	—
886	#385	—	13	1	no	—
887	#385	—	13	1	no	—
888	#385	—	13	1	no	—
889	#385	—	13	1	no	—
890	#385	—	13	1	no	—
891	#385	—	13	1	no	—
892	#385	—	13	1	no	—
893	#385	—	13	1	no	—
894	#385	—	13	1	no	—
895	#385	—	13	1	no	—
896	#385	C₂×D₁₃	1	1	yes	characteristic
897	#385	C₂×D₁₃	1	1	yes	characteristic
898	#381	—	13	1	no	—
899	#381	—	13	1	no	—
900	#381	C₂×D₁₃	1	1	yes	characteristic
901	#380	—	13	1	no	—
902	#380	—	13	1	no	—
903	#380	—	13	1	no	—
904	#380	—	13	1	no	—
905	#380	—	13	1	no	—
906	#380	—	13	1	no	—
907	#380	C₂×D₁₃	1	1	yes	characteristic
908	#379	—	13	1	no	—
909	C₄×C₂²⋊C₄	—	13	1	no	—
910	C₂×#95	—	13	1	no	—
911	C₂×#95	C₂×D₁₃	1	1	yes	characteristic
912	C₂²×C₁₃	—	2	2	no	—
913	C₂²×C₁₃	—	2	2	no	—
914	C₂²×C₁₃	—	2	2	no	—
915	C₂²×C₁₃	—	2	2	no	—
916	C₂²×C₁₃	—	2	2	no	—
917	C₂²×C₁₃	—	2	2	no	—
918	C₂²×C₁₃	#538	1	4	yes	—
919	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
920	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
921	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
922	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
923	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
924	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
925	C₂²×C₁₃	#585	1	1	yes	characteristic
926	C₂×D₁₃	—	2	2	no	—
927	C₂×D₁₃	—	2	2	no	—
928	C₂×D₁₃	—	2	2	no	—
929	C₂×D₁₃	—	2	2	no	—
930	C₂×D₁₃	—	2	2	no	—
931	C₂×D₁₃	—	2	2	no	—
932	C₂×D₁₃	—	4	16	no	—
933	C₂×D₁₃	—	4	1	no	—
934	C₂×D₁₃	—	4	1	no	—
935	C₂×D₁₃	—	4	1	no	—
936	C₂×D₁₃	—	4	1	no	—
937	C₂×D₁₃	—	4	1	no	—
938	C₂×D₁₃	—	4	1	no	—
939	C₂×D₁₃	—	4	1	no	—
940	C₂×D₁₃	—	4	1	no	—
941	C₂×D₁₃	—	4	1	no	—
942	C₂×D₁₃	—	4	1	no	—
943	C₂×D₁₃	—	4	1	no	—
944	C₂×D₁₃	—	4	1	no	—
945	C₂×D₁₃	—	4	1	no	—
946	C₂×D₁₃	—	4	1	no	—
947	C₂×D₁₃	—	4	1	no	—
948	C₂×D₁₃	—	4	1	no	—
949	C₂×D₁₃	—	4	1	no	—
950	C₂×D₁₃	—	4	1	no	—
951	C₂×D₁₃	—	4	1	no	—
952	C₂×D₁₃	—	4	1	no	—
953	C₂×D₁₃	—	4	1	no	—
954	C₂×D₁₃	—	4	1	no	—
955	C₂×D₁₃	—	4	1	no	—
956	C₂×D₁₃	—	4	1	no	—
957	C₂×D₁₃	—	4	1	no	—
958	C₂×D₁₃	—	4	1	no	—
959	C₂×D₁₃	—	4	1	no	—
960	C₂×D₁₃	—	4	1	no	—
961	C₂×D₁₃	—	4	1	no	—
962	C₄×C₁₃	—	2	2	no	—
963	C₄×C₁₃	—	2	2	no	—
964	C₄×C₁₃	—	2	2	no	—
965	C₄×C₁₃	—	4	1	no	—
966	C₄×C₁₃	—	4	1	no	—
967	C₄×C₁₃	—	4	1	no	—
968	C₄×C₁₃	—	4	1	no	—
969	C₄×C₁₃	—	4	1	no	—
970	C₄×C₁₃	—	4	1	no	—
971	C₄×C₁₃	—	4	1	no	—
972	C₄×C₁₃	—	4	1	no	—
973	C₄×C₁₃	—	4	1	no	—
974	C₄×C₁₃	—	4	1	no	—
975	C₄×C₁₃	—	4	1	no	—
976	Dic₁₃	—	4	1	no	—
977	Dic₁₃	—	4	1	no	—
978	Dic₁₃	—	4	1	no	—
979	Dic₁₃	—	4	1	no	—
980	Dic₁₃	—	4	1	no	—
981	Dic₁₃	—	4	1	no	—
982	Dic₁₃	—	4	1	no	—
983	Dic₁₃	—	4	1	no	—
984	Dic₁₃	—	4	1	no	—
985	Dic₁₃	—	4	1	no	—
986	Dic₁₃	—	4	1	no	—
987	C₂⁵	—	13	1	no	—
988	C₂×#41	—	26	4	no	—
989	C₂×#41	—	52	2	no	—
990	C₂×#41	—	52	2	no	—
991	C₂²×Q₈	—	13	1	no	—
992	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
993	C₂²×D₄	—	13	1	no	—
994	C₂²×D₄	—	13	1	no	—
995	C₂²×D₄	—	13	1	no	—
996	C₂²×D₄	—	13	1	no	—
997	C₂²×D₄	—	13	1	no	—
998	C₂²×D₄	—	13	1	no	—
999	C₂²×D₄	—	13	1	no	—
1000	C₂²×D₄	—	13	1	no	—
1001	C₂²×D₄	—	13	1	no	—
1002	C₂²×D₄	—	13	1	no	—
1003	C₂²×D₄	—	13	1	no	—
1004	C₂²×D₄	—	13	1	no	—
1005	C₂³×C₄	—	13	1	no	—
1006	C₂³×C₄	—	13	1	no	—
1007	C₂³×C₄	—	13	1	no	—
1008	C₂³×C₄	—	13	1	no	—
1009	C₂³×C₄	—	13	1	no	—
1010	C₂³×C₄	—	13	1	no	—
1011	C₂³×C₄	—	13	1	no	—
1012	C₂³×C₄	—	13	1	no	—
1013	C₂³×C₄	—	13	1	no	—
1014	C₂³×C₄	—	13	1	no	—
1015	C₂³×C₄	—	52	2	no	—
1016	C₂³×C₄	—	52	2	no	—
1017	C₂³×C₄	—	52	2	no	—
1018	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	#126	—	52	2	no	—
1022	#124	—	52	2	no	—
1023	#123	—	26	4	no	—
1024	#123	—	52	2	no	—
1025	#123	—	52	2	no	—
1026	#123	—	52	2	no	—
1027	C₂²⋊Q₈	—	4	2	no	—
1028	#121	—	52	2	no	—
1029	#121	—	52	2	no	—
1030	#121	—	52	2	no	—
1031	#121	—	52	2	no	—
1032	#121	—	52	2	no	—
1033	#120	—	52	2	no	—
1034	#120	—	52	2	no	—
1035	#120	—	52	2	no	—
1036	C₄×D₄	—	52	2	no	—
1037	#117	—	4	2	no	—
1038	C₂×C₄⋊C₄	—	13	1	no	—
1039	C₂×C₄⋊C₄	—	13	1	no	—
1040	C₂×C₄⋊C₄	—	13	1	no	—
1041	C₂×C₄⋊C₄	—	13	1	no	—
1042	C₂×C₄⋊C₄	—	13	1	no	—
1043	C₂×C₄⋊C₄	—	13	1	no	—
1044	C₂×C₄⋊C₄	—	13	1	no	—
1045	C₂×C₄⋊C₄	—	13	1	no	—
1046	C₂×C₄⋊C₄	—	13	1	no	—
1047	C₂×C₄⋊C₄	—	13	1	no	—
1048	C₂×C₄⋊C₄	—	13	1	no	—
1049	C₂×C₄⋊C₄	—	13	1	no	—
1050	C₂×C₄⋊C₄	—	13	1	no	—
1051	C₂×C₄⋊C₄	—	13	1	no	—
1052	C₂×C₄⋊C₄	—	13	1	no	—
1053	C₂×C₄⋊C₄	—	13	1	no	—
1054	C₂×C₄⋊C₄	—	13	1	no	—
1055	C₂×C₄⋊C₄	—	52	2	no	—
1056	C₂×C₄⋊C₄	—	52	2	no	—
1057	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1058	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1060	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1061	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1062	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	—	13	1	no	—
1069	C₂×C₂²⋊C₄	—	13	1	no	—
1070	C₂×C₂²⋊C₄	—	13	1	no	—
1071	C₂×C₂²⋊C₄	—	13	1	no	—
1072	C₂×C₂²⋊C₄	—	13	1	no	—
1073	C₂×C₂²⋊C₄	—	13	1	no	—
1074	C₂×C₂²⋊C₄	—	13	1	no	—
1075	C₂×C₂²⋊C₄	—	13	1	no	—
1076	C₂×C₂²⋊C₄	—	13	1	no	—
1077	C₂×C₂²⋊C₄	—	13	1	no	—
1078	C₂×C₂²⋊C₄	—	13	1	no	—
1079	C₂×C₂²⋊C₄	—	13	1	no	—
1080	C₂×C₂²⋊C₄	—	13	1	no	—
1081	C₂×C₂²⋊C₄	—	13	1	no	—
1082	C₂×C₂²⋊C₄	—	13	1	no	—
1083	C₂×C₂²⋊C₄	—	13	1	no	—
1084	C₂×C₂²⋊C₄	—	13	1	no	—
1085	C₂×C₂²⋊C₄	—	13	1	no	—
1086	C₂×C₂²⋊C₄	—	13	1	no	—
1087	C₂×C₂²⋊C₄	—	13	1	no	—
1088	C₂×C₂²⋊C₄	—	13	1	no	—
1089	C₂×C₂²⋊C₄	—	13	1	no	—
1090	C₂×C₂²⋊C₄	—	13	1	no	—
1091	C₂×C₂²⋊C₄	—	13	1	no	—
1092	C₂×C₂²⋊C₄	—	13	1	no	—
1093	C₂×C₂²⋊C₄	—	13	1	no	—
1094	C₂×C₂²⋊C₄	—	13	1	no	—
1095	C₂×C₂²⋊C₄	—	13	1	no	—
1096	C₂×C₂²⋊C₄	—	13	1	no	—
1097	C₂×C₂²⋊C₄	—	13	1	no	—
1098	C₂×C₂²⋊C₄	—	13	1	no	—
1099	C₂×C₂²⋊C₄	—	13	1	no	—
1100	C₂×C₂²⋊C₄	—	13	1	no	—
1101	C₂×C₂²⋊C₄	—	13	1	no	—
1102	C₂×C₂²⋊C₄	—	13	1	no	—
1103	C₂×C₂²⋊C₄	—	13	1	no	—
1104	C₂×C₂²⋊C₄	—	13	1	no	—
1105	C₂×C₂²⋊C₄	—	13	1	no	—
1106	C₂×C₂²⋊C₄	—	13	1	no	—
1107	C₂×C₂²⋊C₄	—	13	1	no	—
1108	C₂×C₂²⋊C₄	—	13	1	no	—
1109	C₂×C₂²⋊C₄	—	13	1	no	—
1110	C₂×C₂²⋊C₄	—	13	1	no	—
1111	C₂×C₂²⋊C₄	—	13	1	no	—
1112	C₂×C₂²⋊C₄	—	13	1	no	—
1113	C₂×C₂²⋊C₄	—	13	1	no	—
1114	C₂×C₂²⋊C₄	—	26	4	no	—
1115	C₂×C₂²⋊C₄	—	52	2	no	—
1116	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1120	C₂×C₄²	—	13	1	no	—
1121	C₂×C₄²	—	13	1	no	—
1122	C₂×C₄²	—	13	1	no	—
1123	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1125	#95	—	13	1	no	—
1126	#95	—	13	1	no	—
1127	#95	—	13	1	no	—
1128	#95	—	13	1	no	—
1129	#95	—	13	1	no	—
1130	#95	—	13	1	no	—
1131	#95	—	13	1	no	—
1132	#95	—	13	1	no	—
1133	#95	—	13	1	no	—
1134	#95	—	13	1	no	—
1135	#95	—	13	1	no	—
1136	#95	—	13	1	no	—
1137	#95	—	13	1	no	—
1138	#95	—	13	1	no	—
1139	#95	—	13	1	no	—
1140	#95	—	13	1	no	—
1141	#95	—	13	1	no	—
1142	#95	—	13	1	no	—
1143	#95	—	13	1	no	—
1144	#95	—	13	1	no	—
1145	#95	—	13	1	no	—
1146	#95	—	13	1	no	—
1147	#95	—	13	1	no	—
1148	#95	—	13	1	no	—
1149	#95	—	13	1	no	—
1150	#95	—	13	1	no	—
1151	#95	—	13	1	no	—
1152	#95	—	13	1	no	—
1153	#95	—	13	1	no	—
1154	#95	—	13	1	no	—
1155	#95	C₂²×D₁₃	1	1	yes	characteristic
1156	#95	C₂²×D₁₃	1	1	yes	characteristic
1157	#95	C₂²×D₁₃	1	1	yes	characteristic
1158	#95	C₂²×D₁₃	1	1	yes	characteristic
1159	#95	C₂²×D₁₃	1	1	yes	characteristic
1160	#95	C₂²×D₁₃	1	1	yes	characteristic
1161	#95	C₂²×D₁₃	1	1	yes	characteristic
1162	#95	C₂²×D₁₃	1	1	yes	characteristic
1163	#95	C₂²×D₁₃	1	1	yes	characteristic
1164	#95	C₂²×D₁₃	1	1	yes	characteristic
1165	#95	C₂²×D₁₃	1	1	yes	characteristic
1166	#95	C₂²×D₁₃	1	1	yes	characteristic
1167	#95	C₂²×D₁₃	1	1	yes	characteristic
1168	#95	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂×C₁₃	—	2	4	no	—
1170	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
1171	C₂×C₁₃	#3492	1	1	yes	characteristic
1172	C₂×C₁₃	#3506	1	1	yes	characteristic
1173	C₂×C₁₃	#3532	1	1	yes	characteristic
1174	C₂×C₁₃	#3534	1	1	yes	characteristic
1175	C₂×C₁₃	#3535	1	1	yes	characteristic
1176	C₂×C₁₃	#3536	1	1	yes	characteristic
1177	D₁₃	—	4	2	no	—
1178	D₁₃	—	4	2	no	—
1179	D₁₃	—	8	1	no	—
1180	D₁₃	—	8	1	no	—
1181	D₁₃	—	8	1	no	—
1182	C₂⁴	—	13	1	no	—
1183	C₂⁴	—	13	1	no	—
1184	C₂⁴	—	13	1	no	—
1185	C₂⁴	—	13	1	no	—
1186	C₂⁴	—	13	1	no	—
1187	C₂⁴	—	26	2	no	—
1188	C₂⁴	—	26	2	no	—
1189	C₂⁴	—	26	2	no	—
1190	C₂⁴	—	26	2	no	—
1191	C₂⁴	—	26	2	no	—
1192	C₂⁴	—	52	1	no	—
1193	C₂⁴	—	52	1	no	—
1194	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1195	#41	—	52	16	no	—
1196	C₂×Q₈	—	4	1	no	—
1197	C₂×Q₈	—	4	1	no	—
1198	C₂×Q₈	—	4	1	no	—
1199	C₂×Q₈	—	26	2	no	—
1200	C₂×Q₈	—	52	1	no	—
1201	C₂×Q₈	—	52	1	no	—
1202	C₂×D₄	—	26	2	no	—
1203	C₂×D₄	—	26	2	no	—
1204	C₂×D₄	—	26	2	no	—
1205	C₂×D₄	—	26	2	no	—
1206	C₂×D₄	—	26	2	no	—
1207	C₂×D₄	—	26	2	no	—
1208	C₂×D₄	—	26	2	no	—
1209	C₂×D₄	—	26	2	no	—
1210	C₂×D₄	—	26	2	no	—
1211	C₂×D₄	—	26	2	no	—
1212	C₂×D₄	—	26	2	no	—
1213	C₂×D₄	—	26	2	no	—
1214	C₂×D₄	—	26	2	no	—
1215	C₂×D₄	—	26	2	no	—
1216	C₂×D₄	—	26	2	no	—
1217	C₂×D₄	—	26	2	no	—
1218	C₂×D₄	—	26	2	no	—
1219	C₂×D₄	—	52	1	no	—
1220	C₂×D₄	—	52	1	no	—
1221	C₂×D₄	—	52	1	no	—
1222	C₂×D₄	—	52	1	no	—
1223	C₂×D₄	—	52	1	no	—
1224	C₂×D₄	—	52	1	no	—
1225	C₂×D₄	—	52	1	no	—
1226	C₂×D₄	—	52	1	no	—
1227	C₂×D₄	—	52	1	no	—
1228	C₂×D₄	—	52	1	no	—
1229	C₂×D₄	—	52	1	no	—
1230	C₂×D₄	—	52	1	no	—
1231	C₂×D₄	—	52	1	no	—
1232	C₂×D₄	—	52	1	no	—
1233	C₂×D₄	—	52	1	no	—
1234	C₂×D₄	—	52	1	no	—
1235	C₂×D₄	—	52	1	no	—
1236	C₂×D₄	—	52	1	no	—
1237	C₂×D₄	—	52	1	no	—
1238	C₂²×C₄	—	2	2	no	—
1239	C₂²×C₄	—	2	2	no	—
1240	C₂²×C₄	—	2	2	no	—
1241	C₂²×C₄	—	2	2	no	—
1242	C₂²×C₄	—	2	2	no	—
1243	C₂²×C₄	—	4	1	no	—
1244	C₂²×C₄	—	4	1	no	—
1245	C₂²×C₄	—	4	1	no	—
1246	C₂²×C₄	—	13	1	no	—
1247	C₂²×C₄	—	13	1	no	—
1248	C₂²×C₄	—	13	1	no	—
1249	C₂²×C₄	—	13	1	no	—
1250	C₂²×C₄	—	13	1	no	—
1251	C₂²×C₄	—	13	1	no	—
1252	C₂²×C₄	—	13	1	no	—
1253	C₂²×C₄	—	13	1	no	—
1254	C₂²×C₄	—	13	1	no	—
1255	C₂²×C₄	—	13	1	no	—
1256	C₂²×C₄	—	13	1	no	—
1257	C₂²×C₄	—	26	2	no	—
1258	C₂²×C₄	—	26	2	no	—
1259	C₂²×C₄	—	26	2	no	—
1260	C₂²×C₄	—	26	2	no	—
1261	C₂²×C₄	—	26	2	no	—
1262	C₂²×C₄	—	26	2	no	—
1263	C₂²×C₄	—	26	2	no	—
1264	C₂²×C₄	—	26	2	no	—
1265	C₂²×C₄	—	26	2	no	—
1266	C₂²×C₄	—	52	1	no	—
1267	C₂²×C₄	—	52	1	no	—
1268	C₂²×C₄	—	52	1	no	—
1269	C₂²×C₄	—	52	1	no	—
1270	C₂²×C₄	—	52	1	no	—
1271	C₂²×C₄	—	52	1	no	—
1272	C₂²×C₄	—	52	1	no	—
1273	C₂²×C₄	—	52	1	no	—
1274	C₂²×C₄	—	52	1	no	—
1275	C₂²×C₄	—	52	1	no	—
1276	C₂²×C₄	—	52	1	no	—
1277	C₂²×C₄	—	52	1	no	—
1278	C₂²×C₄	—	52	1	no	—
1279	C₂²×C₄	—	52	1	no	—
1280	C₂²×C₄	—	52	1	no	—
1281	C₂²×C₄	—	52	16	no	—
1282	C₂²×C₄	—	52	1	no	—
1283	C₂²×C₄	—	52	1	no	—
1284	C₂²×C₄	—	52	1	no	—
1285	C₂²×C₄	—	52	1	no	—
1286	C₂²×C₄	—	52	1	no	—
1287	C₂²×C₄	—	52	1	no	—
1288	C₂²×C₄	#6131	1	4	yes	—
1289	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1294	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1296	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1297	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1298	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1299	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1300	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1301	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1302	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1303	C₄⋊C₄	—	2	2	no	—
1304	C₄⋊C₄	—	2	2	no	—
1305	C₄⋊C₄	—	4	1	no	—
1306	C₄⋊C₄	—	4	1	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	—	4	1	no	—
1310	C₄⋊C₄	—	4	1	no	—
1311	C₄⋊C₄	—	4	1	no	—
1312	C₄⋊C₄	—	4	1	no	—
1313	C₄⋊C₄	—	4	1	no	—
1314	C₄⋊C₄	—	26	2	no	—
1315	C₄⋊C₄	—	26	2	no	—
1316	C₄⋊C₄	—	26	2	no	—
1317	C₄⋊C₄	—	26	2	no	—
1318	C₄⋊C₄	—	52	1	no	—
1319	C₄⋊C₄	—	52	1	no	—
1320	C₄⋊C₄	—	52	1	no	—
1321	C₄⋊C₄	—	52	1	no	—
1322	C₄⋊C₄	—	52	1	no	—
1323	C₄⋊C₄	—	52	1	no	—
1324	C₄⋊C₄	—	52	1	no	—
1325	C₄⋊C₄	—	52	1	no	—
1326	C₄⋊C₄	—	52	1	no	—
1327	C₄⋊C₄	—	52	1	no	—
1328	C₄⋊C₄	—	52	1	no	—
1329	C₄⋊C₄	—	52	1	no	—
1330	C₄⋊C₄	—	52	1	no	—
1331	C₂²⋊C₄	—	2	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	26	2	no	—
1336	C₂²⋊C₄	—	26	2	no	—
1337	C₂²⋊C₄	—	26	2	no	—
1338	C₂²⋊C₄	—	26	2	no	—
1339	C₂²⋊C₄	—	26	2	no	—
1340	C₂²⋊C₄	—	26	2	no	—
1341	C₂²⋊C₄	—	26	2	no	—
1342	C₂²⋊C₄	—	26	2	no	—
1343	C₂²⋊C₄	—	26	2	no	—
1344	C₂²⋊C₄	—	26	2	no	—
1345	C₂²⋊C₄	—	26	2	no	—
1346	C₂²⋊C₄	—	26	2	no	—
1347	C₂²⋊C₄	—	52	1	no	—
1348	C₂²⋊C₄	—	52	1	no	—
1349	C₂²⋊C₄	—	52	1	no	—
1350	C₂²⋊C₄	—	52	1	no	—
1351	C₂²⋊C₄	—	52	1	no	—
1352	C₂²⋊C₄	—	52	1	no	—
1353	C₂²⋊C₄	—	52	1	no	—
1354	C₂²⋊C₄	—	52	1	no	—
1355	C₂²⋊C₄	—	52	1	no	—
1356	C₂²⋊C₄	—	52	1	no	—
1357	C₂²⋊C₄	—	52	1	no	—
1358	C₂²⋊C₄	—	52	1	no	—
1359	C₂²⋊C₄	—	52	1	no	—
1360	C₂²⋊C₄	—	52	1	no	—
1361	C₂²⋊C₄	—	52	1	no	—
1362	C₂²⋊C₄	—	52	1	no	—
1363	C₂²⋊C₄	—	52	1	no	—
1364	C₂²⋊C₄	—	52	1	no	—
1365	C₂²⋊C₄	—	52	1	no	—
1366	C₂²⋊C₄	—	52	1	no	—
1367	C₂²⋊C₄	—	52	1	no	—
1368	C₂²⋊C₄	—	52	1	no	—
1369	C₂²⋊C₄	—	52	1	no	—
1370	C₂²⋊C₄	—	52	1	no	—
1371	C₂²⋊C₄	—	52	1	no	—
1372	C₂²⋊C₄	—	52	1	no	—
1373	C₂²⋊C₄	—	52	1	no	—
1374	C₂²⋊C₄	—	52	1	no	—
1375	C₂²⋊C₄	—	52	1	no	—
1376	C₂²⋊C₄	—	52	1	no	—
1377	C₂²⋊C₄	—	52	1	no	—
1378	C₂²⋊C₄	—	52	1	no	—
1379	C₂²⋊C₄	—	52	1	no	—
1380	C₂²⋊C₄	—	52	1	no	—
1381	C₄²	—	4	1	no	—
1382	C₄²	—	4	1	no	—
1383	C₄²	—	52	1	no	—
1384	C₄²	—	52	1	no	—
1385	C₄²	—	52	1	no	—
1386	C₁₃	#36791	1	1	yes	characteristic, complemented, Sylow
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	13	2	no	—
1392	C₂³	—	13	2	no	—
1393	C₂³	—	26	8	no	—
1394	C₂³	—	26	1	no	—
1395	C₂³	—	26	1	no	—
1396	C₂³	—	26	1	no	—
1397	C₂³	—	26	1	no	—
1398	C₂³	—	26	1	no	—
1399	C₂³	—	26	1	no	—
1400	C₂³	—	26	1	no	—
1401	C₂³	—	26	1	no	—
1402	C₂³	—	26	1	no	—
1403	C₂³	—	26	1	no	—
1404	C₂³	—	26	1	no	—
1405	C₂³	—	26	1	no	—
1406	C₂³	—	26	1	no	—
1407	C₂³	—	26	1	no	—
1408	C₂³	—	26	1	no	—
1409	C₂³	—	26	1	no	—
1410	C₂³	—	26	1	no	—
1411	C₂³	—	26	1	no	—
1412	C₂³	—	26	1	no	—
1413	C₂³	—	26	1	no	—
1414	C₂³	—	26	1	no	—
1415	C₂³	—	26	1	no	—
1416	C₂³	—	26	1	no	—
1417	C₂³	—	26	1	no	—
1418	C₂³	—	26	1	no	—
1419	C₂³	—	26	1	no	—
1420	C₂³	—	26	1	no	—
1421	C₂³	—	26	1	no	—
1422	C₂³	—	26	1	no	—
1423	C₂³	—	26	1	no	—
1424	C₂³	—	26	1	no	—
1425	C₂³	—	26	1	no	—
1426	C₂³	—	26	1	no	—
1427	C₂³	—	52	4	no	—
1428	C₂³	—	52	4	no	—
1429	C₂³	—	52	4	no	—
1430	C₂³	—	52	4	no	—
1431	C₂³	—	52	4	no	—
1432	C₂³	—	52	4	no	—
1433	C₂³	#88251	1	2	yes	—
1434	C₂³	C₂×#6131	1	2	yes	—
1435	C₂³	#88256	1	2	yes	—
1436	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1437	Q₈	—	8	2	no	—
1438	Q₈	—	52	4	no	—
1439	D₄	—	52	4	no	—
1440	D₄	—	52	4	no	—
1441	D₄	—	52	4	no	—
1442	D₄	—	52	4	no	—
1443	D₄	—	104	2	no	—
1444	D₄	—	104	2	no	—
1445	D₄	—	104	2	no	—
1446	D₄	—	104	2	no	—
1447	D₄	—	104	2	no	—
1448	D₄	—	104	2	no	—
1449	D₄	—	104	2	no	—
1450	D₄	—	104	2	no	—
1451	C₂×C₄	—	2	8	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	4	4	no	—
1492	C₂×C₄	—	8	2	no	—
1493	C₂×C₄	—	26	1	no	—
1494	C₂×C₄	—	26	1	no	—
1495	C₂×C₄	—	26	1	no	—
1496	C₂×C₄	—	26	1	no	—
1497	C₂×C₄	—	26	1	no	—
1498	C₂×C₄	—	26	1	no	—
1499	C₂×C₄	—	26	1	no	—
1500	C₂×C₄	—	26	1	no	—
1501	C₂×C₄	—	26	1	no	—
1502	C₂×C₄	—	26	1	no	—
1503	C₂×C₄	—	26	1	no	—
1504	C₂×C₄	—	26	1	no	—
1505	C₂×C₄	—	26	1	no	—
1506	C₂×C₄	—	26	1	no	—
1507	C₂×C₄	—	26	1	no	—
1508	C₂×C₄	—	26	1	no	—
1509	C₂×C₄	—	26	1	no	—
1510	C₂×C₄	—	26	1	no	—
1511	C₂×C₄	—	26	1	no	—
1512	C₂×C₄	—	26	1	no	—
1513	C₂×C₄	—	26	1	no	—
1514	C₂×C₄	—	26	1	no	—
1515	C₂×C₄	—	26	1	no	—
1516	C₂×C₄	—	26	1	no	—
1517	C₂×C₄	—	26	1	no	—
1518	C₂×C₄	—	26	1	no	—
1519	C₂×C₄	—	26	1	no	—
1520	C₂×C₄	—	26	1	no	—
1521	C₂×C₄	—	26	1	no	—
1522	C₂×C₄	—	26	1	no	—
1523	C₂×C₄	—	26	1	no	—
1524	C₂×C₄	—	26	1	no	—
1525	C₂×C₄	—	26	1	no	—
1526	C₂×C₄	—	52	4	no	—
1527	C₂×C₄	—	52	4	no	—
1528	C₂×C₄	—	52	4	no	—
1529	C₂×C₄	—	52	4	no	—
1530	C₂×C₄	—	52	4	no	—
1531	C₂×C₄	—	52	4	no	—
1532	C₂×C₄	—	52	4	no	—
1533	C₂×C₄	—	52	4	no	—
1534	C₂×C₄	—	104	2	no	—
1535	C₂×C₄	—	104	2	no	—
1536	C₂×C₄	C₂×#6131	1	2	yes	—
1537	C₂×C₄	C₂×#6131	1	2	yes	—
1538	C₂×C₄	#88256	1	2	yes	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	2	2	no	—
1544	C₂²	—	2	2	no	—
1545	C₂²	—	26	2	no	—
1546	C₂²	—	26	2	no	—
1547	C₂²	—	26	2	no	—
1548	C₂²	—	26	2	no	—
1549	C₂²	—	26	2	no	—
1550	C₂²	—	26	2	no	—
1551	C₂²	—	52	16	no	—
1552	C₂²	—	52	1	no	—
1553	C₂²	—	52	1	no	—
1554	C₂²	—	52	1	no	—
1555	C₂²	—	52	1	no	—
1556	C₂²	—	52	1	no	—
1557	C₂²	—	52	1	no	—
1558	C₂²	—	52	1	no	—
1559	C₂²	—	52	1	no	—
1560	C₂²	—	52	1	no	—
1561	C₂²	—	52	1	no	—
1562	C₂²	—	52	1	no	—
1563	C₂²	—	52	1	no	—
1564	C₂²	—	52	1	no	—
1565	C₂²	—	52	1	no	—
1566	C₂²	—	52	1	no	—
1567	C₂²	—	52	1	no	—
1568	C₂²	—	52	1	no	—
1569	C₂²	—	52	1	no	—
1570	C₂²	—	52	1	no	—
1571	C₂²	—	52	1	no	—
1572	C₂²	—	52	1	no	—
1573	C₂²	—	52	1	no	—
1574	C₂²	—	52	1	no	—
1575	C₂²	—	52	1	no	—
1576	C₂²	—	52	1	no	—
1577	C₂²	—	52	1	no	—
1578	C₂²	—	52	1	no	—
1579	C₂²	—	52	1	no	—
1580	C₂²	—	52	1	no	—
1581	C₂²	#11719349	1	4	yes	—
1582	C₂²	C₂×#88251	1	1	yes	characteristic
1583	C₂²	C₂²×#6131	1	1	yes	characteristic
1584	C₂²	C₂×#88256	1	1	yes	characteristic
1585	C₂²	C₂×#88256	1	1	yes	characteristic
1586	C₂²	#11719648	1	1	yes	characteristic
1587	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1588	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1589	C₄	—	2	2	no	—
1590	C₄	—	2	2	no	—
1591	C₄	—	2	2	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	52	1	no	—
1604	C₄	—	52	1	no	—
1605	C₄	—	52	1	no	—
1606	C₄	—	52	1	no	—
1607	C₄	—	52	1	no	—
1608	C₄	—	52	1	no	—
1609	C₄	—	52	1	no	—
1610	C₄	—	52	1	no	—
1611	C₄	—	52	1	no	—
1612	C₄	—	52	1	no	—
1613	C₄	—	52	1	no	—
1614	C₂	—	2	4	no	—
1615	C₂	—	52	2	no	—
1616	C₂	—	52	2	no	—
1617	C₂	—	104	1	no	—
1618	C₂	—	104	1	no	—
1619	C₂	—	104	1	no	—
1620	C₂	C₂×#11719349	1	1	yes	characteristic
1621	C₂	#13128546	1	1	yes	characteristic
1622	C₂	#13128690	1	1	yes	characteristic
1623	C₂	#13128992	1	1	yes	characteristic
1624	C₂	#13129021	1	1	yes	characteristic
1625	C₂	#13129048	1	1	yes	characteristic
1626	C₂	#13129059	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator, socle, cosocle	C₂³×C₁₃	C₂⁵
Fitting	C₁₃×#2438	C₂
hypercenter	#2438	D₁₃
hypocenter	C₁₃	#36791
LCS	G ▷ C₂³×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2438

Complements

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

N	H ≅ G/N	type
1. #13123131	C₂	semidirect
2. #13123119	C₂	semidirect
3. #13122780	C₂	semidirect
4. #13122688	C₂	semidirect
5. #13122580	C₂	semidirect
6. #13122539	C₂	semidirect
7. #13122490	C₂	semidirect
8. #13122460	C₂	semidirect
9. #13122092	C₂	semidirect
10. #13122073	C₂	semidirect
11. #13122008	C₂	semidirect
12. #13121630	C₂	semidirect
13. #13121573	C₂	semidirect
14. #13121561	C₂	semidirect
15. #13121561	C₂	semidirect
16. #13121373	C₂	semidirect
17. #13121249	C₂	semidirect
18. #13121198	C₂	semidirect
19. #13120792	C₂	semidirect
20. #13120770	C₂	semidirect
21. #13119104	C₂	semidirect
22. #13118969	C₂	semidirect
23. #13118575	C₂	semidirect
24. #13118446	C₂	semidirect
25. #13118370	C₂	semidirect
26. #13118215	C₂	semidirect
27. #13118157	C₂	semidirect
28. #13117502	C₂	semidirect
29. #13117424	C₂	semidirect
30. C₂×#11718329	C₂	semidirect
31. C₁₃×#2438	C₂	semidirect
44. C₂×#88152	C₂²	semidirect
50. C₂×#88148	C₂²	semidirect
55. C₁₃×#400	C₂²	semidirect
56. C₁₃×#398	C₂²	semidirect
57. C₁₃×#398	C₂²	semidirect
58. C₁₃×#395	C₂²	semidirect
59. C₁₃×#391	C₂²	semidirect
60. C₁₃×#389	C₂²	semidirect
61. C₁₃×#387	C₂²	semidirect
62. C₁₃×#387	C₂²	semidirect
69. #11718892	C₂²	semidirect
70. #11718892	C₂²	semidirect
77. #11718655	C₂²	semidirect
78. #11718655	C₂²	semidirect
80. #11718654	C₂²	semidirect
81. #11718654	C₂²	semidirect
82. #11718654	C₂²	semidirect
83. #11718653	C₂²	semidirect
89. #11718652	C₂²	semidirect
90. #11718652	C₂²	semidirect
95. #11718650	C₂²	semidirect
100. #11718648	C₂²	semidirect
101. #11718648	C₂²	semidirect
102. #11718648	C₂²	semidirect
103. #11718648	C₂²	semidirect
104. #11718647	C₂²	semidirect
105. #11718647	C₂²	semidirect
106. #11718647	C₂²	semidirect
107. #11718645	C₂²	semidirect
108. #11718643	C₂²	semidirect
109. #11718643	C₂²	semidirect
110. #11718639	C₂²	semidirect
127. #11718600	C₂²	semidirect
128. #11718600	C₂²	semidirect
129. #11718590	C₂²	semidirect
130. #11718590	C₂²	semidirect
131. #11718336	C₂²	semidirect
132. #11718336	C₂²	semidirect
133. #11718336	C₂²	semidirect
134. #11718335	C₂²	semidirect
137. #11718334	C₂²	semidirect
139. #11718333	C₂²	semidirect
140. #11718333	C₂²	semidirect
144. #11718332	C₂²	semidirect
146. #11718331	C₂²	semidirect
147. #11718331	C₂²	semidirect
148. #11718330	C₂²	semidirect
149. #11718330	C₂²	semidirect
158. #11718329	C₂²	semidirect
159. #11718329	C₂²	semidirect
160. #11718329	C₂²	semidirect
161. #11718329	C₂²	semidirect
173. #11718326	C₂²	semidirect
174. #11718326	C₂²	semidirect
177. C₁₃⋊#401	C₂²	semidirect
178. #11718321	C₂²	semidirect
179. #11718321	C₂²	semidirect
180. #11718317	C₂²	semidirect
181. #11718316	C₂²	semidirect
182. #11718316	C₂²	semidirect
183. #11718316	C₂²	semidirect
184. #11718315	C₂²	semidirect
185. #11718308	C₂²	semidirect
186. #11718308	C₂²	semidirect
597. #2438	D₁₃	semidirect
788. #400	C₂×D₁₃	semidirect
791. #398	C₂×D₁₃	semidirect
792. #398	C₂×D₁₃	semidirect
807. #395	C₂×D₁₃	semidirect
830. #391	C₂×D₁₃	semidirect
839. #389	C₂×D₁₃	semidirect
854. #387	C₂×D₁₃	semidirect
855. #387	C₂×D₁₃	semidirect
1386. C₁₃	#36791	semidirect

Maximal subgroups

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

subgroup	index
#13123131	2
#13123119	2
#13122780	2
#13122688	2
#13122580	2
#13122539	2
#13122490	2
#13122460	2
#13122092	2
#13122073	2
#13122008	2
#13121630	2
#13121573	2
#13121561	2
#13121373	2
#13121249	2
#13121198	2
#13120792	2
#13120770	2
#13119104	2
#13118969	2
#13118575	2
#13118446	2
#13118370	2
#13118215	2
#13118157	2
#13117502	2
#13117424	2
C₂×#11718329	2
C₁₃×#2438	2
#36791	13