Subgroups — #16756183

Order 3328.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129168	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128777	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127927	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127873	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127586	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127541	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126983	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126861	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126835	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126797	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126677	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126650	C₂	1	1	yes	maximal, characteristic, complemented
13	D₈×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126376	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126320	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126319	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126317	C₂	1	1	yes	maximal, characteristic, complemented
18	#13126270	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126244	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126189	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125923	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125884	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125857	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125076	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125028	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124975	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124373	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124337	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718811	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123969	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3280	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
36	#11719539	C₂²	1	1	yes	characteristic, complemented
37	#11719535	C₂²	1	1	yes	characteristic, complemented
38	#11719534	C₂²	1	1	yes	characteristic, complemented
39	#11719532	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88194	C₂²	1	1	yes	characteristic, complemented
42	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
48	#11719387	C₂²	1	1	yes	characteristic, complemented
49	#11719386	C₂²	1	1	yes	characteristic, complemented
50	#11719386	C₂²	1	1	yes	characteristic, complemented
51	#11719379	C₂²	1	1	yes	characteristic, complemented
52	#11719371	—	2	1	no	—
53	#11719370	—	2	1	no	—
54	#11719368	—	2	1	no	—
55	#11719363	—	2	1	no	—
56	#11719347	C₂²	1	1	yes	characteristic, complemented
57	#11719335	C₂²	1	1	yes	characteristic
58	#11719329	C₂²	1	1	yes	characteristic, complemented
59	#11719329	C₂²	1	1	yes	characteristic, complemented
60	#11719325	—	2	1	no	—
61	#11719324	C₂²	1	1	yes	characteristic, complemented
62	#11719324	C₂²	1	1	yes	characteristic, complemented
63	#11719323	—	2	1	no	—
64	#11719323	C₂²	1	1	yes	characteristic, complemented
65	#11719322	—	2	1	no	—
66	#11719314	C₂²	1	1	yes	characteristic, complemented
67	#11719312	—	2	1	no	—
68	#11719296	—	2	1	no	—
69	#11719295	—	2	1	no	—
70	#11719294	—	2	1	no	—
71	#11719291	—	2	1	no	—
72	#11719267	C₂²	1	1	yes	characteristic, complemented
73	#11719260	C₂²	1	1	yes	characteristic, complemented
74	#11719258	C₂²	1	1	yes	characteristic, complemented
75	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
76	#11719250	C₂²	1	1	yes	characteristic, complemented
77	#11719248	C₂²	1	1	yes	characteristic, complemented
78	#11719243	C₂²	1	1	yes	characteristic
79	#11719200	—	2	1	no	—
80	#11719198	—	2	1	no	—
81	C₂×#88140	—	2	1	no	—
82	#11719195	—	2	1	no	—
83	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
94	#11718899	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718893	C₂²	1	1	yes	characteristic, complemented
97	#11718878	C₂²	1	1	yes	characteristic
98	#11718878	C₂²	1	1	yes	characteristic, complemented
99	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
100	#11718848	C₂²	1	1	yes	characteristic, complemented
101	#11718846	C₂²	1	1	yes	characteristic, complemented
102	#11718846	C₂²	1	1	yes	characteristic, complemented
103	#11718846	C₂²	1	1	yes	characteristic, complemented
104	#11718837	C₂²	1	1	yes	characteristic, complemented
105	#11718837	C₂²	1	1	yes	characteristic, complemented
106	#11718837	C₂²	1	1	yes	characteristic, complemented
107	#11718835	C₂²	1	1	yes	characteristic, complemented
108	#11718833	C₂²	1	1	yes	characteristic, complemented
109	#11718830	C₂²	1	1	yes	characteristic, complemented
110	#11718826	C₂²	1	1	yes	characteristic, complemented
111	#11718826	C₂²	1	1	yes	characteristic, complemented
112	#11718826	C₂²	1	1	yes	characteristic, complemented
113	#11718825	C₂²	1	1	yes	characteristic, complemented
114	#11718825	C₂²	1	1	yes	characteristic, complemented
115	#11718825	C₂²	1	1	yes	characteristic, complemented
116	#11718824	C₂²	1	1	yes	characteristic, complemented
117	#11718824	C₂²	1	1	yes	characteristic, complemented
118	#11718824	C₂²	1	1	yes	characteristic, complemented
119	#11718818	C₂²	1	1	yes	characteristic, complemented
120	#11718817	C₂²	1	1	yes	characteristic, complemented
121	#11718817	C₂²	1	1	yes	characteristic, complemented
122	#11718812	C₂²	1	1	yes	characteristic, complemented
123	#11718811	C₂²	1	1	yes	characteristic
124	#11718811	C₂²	1	1	yes	characteristic, complemented
125	#11718811	C₂²	1	1	yes	characteristic, complemented
126	#11718811	C₂²	1	1	yes	characteristic, complemented
127	#11718811	C₂²	1	1	yes	characteristic, complemented
128	#11718811	C₂²	1	1	yes	characteristic, complemented
129	#11718811	C₂²	1	1	yes	characteristic, complemented
130	#11718811	C₂²	1	1	yes	characteristic, complemented
131	#11718811	C₂²	1	1	yes	characteristic, complemented
132	#11718811	C₂²	1	1	yes	characteristic, complemented
133	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
134	#11718776	C₂²	1	1	yes	characteristic
135	#11718776	C₂²	1	1	yes	characteristic, complemented
136	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
138	#11718772	C₂²	1	1	yes	characteristic, complemented
139	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
140	#11718763	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88054	C₂²	1	1	yes	characteristic, complemented
142	#11718719	C₂²	1	1	yes	characteristic, complemented
143	#11718718	C₂²	1	1	yes	characteristic, complemented
144	#11718718	C₂²	1	1	yes	characteristic, complemented
145	#11718716	C₂²	1	1	yes	characteristic, complemented
146	#11718709	C₂²	1	1	yes	characteristic, complemented
147	#11718709	C₂²	1	1	yes	characteristic, complemented
148	#11718707	C₂²	1	1	yes	characteristic, complemented
149	#11718704	C₂²	1	1	yes	characteristic, complemented
150	#11718700	C₂²	1	1	yes	characteristic, complemented
151	#11718700	C₂²	1	1	yes	characteristic, complemented
152	#11718697	C₂²	1	1	yes	characteristic, complemented
153	#11718695	C₂²	1	1	yes	characteristic, complemented
154	#11718676	C₂²	1	1	yes	characteristic, complemented
155	#11718675	C₂²	1	1	yes	characteristic, complemented
156	#11718675	C₂²	1	1	yes	characteristic, complemented
157	#11718672	C₂²	1	1	yes	characteristic, complemented
158	#11718669	C₂²	1	1	yes	characteristic, complemented
159	#11718552	C₂²	1	1	yes	characteristic, complemented
160	#11718552	C₂²	1	1	yes	characteristic, complemented
161	#11718552	C₂²	1	1	yes	characteristic, complemented
162	#11718546	C₂²	1	1	yes	characteristic, complemented
163	#11718507	C₂²	1	1	yes	characteristic, complemented
164	#11718504	C₂²	1	1	yes	characteristic, complemented
165	#11718500	C₂²	1	1	yes	characteristic, complemented
166	#11718489	C₂²	1	1	yes	characteristic, complemented
167	#11718480	C₂²	1	1	yes	characteristic, complemented
168	#11718480	C₂²	1	1	yes	characteristic, complemented
169	#11718468	C₂²	1	1	yes	characteristic, complemented
170	#11718465	C₂²	1	1	yes	characteristic, complemented
171	#11718461	C₂²	1	1	yes	characteristic, complemented
172	#11718457	C₂²	1	1	yes	characteristic, complemented
173	#11718457	C₂²	1	1	yes	characteristic, complemented
174	#11718449	C₂²	1	1	yes	characteristic, complemented
175	#11718447	C₂²	1	1	yes	characteristic, complemented
176	#11718447	C₂²	1	1	yes	characteristic, complemented
177	#11718447	C₂²	1	1	yes	characteristic, complemented
178	#11718446	C₂²	1	1	yes	characteristic, complemented
179	#11718446	C₂²	1	1	yes	characteristic, complemented
180	#11718446	C₂²	1	1	yes	characteristic, complemented
181	#11718445	C₂²	1	1	yes	characteristic, complemented
182	#11718443	C₂²	1	1	yes	characteristic, complemented
183	#11718434	C₂²	1	1	yes	characteristic, complemented
184	#11718431	C₂²	1	1	yes	characteristic, complemented
185	#11718427	C₂²	1	1	yes	characteristic, complemented
186	#11718427	C₂²	1	1	yes	characteristic, complemented
187	#11718427	C₂²	1	1	yes	characteristic, complemented
188	#11718425	C₂²	1	1	yes	characteristic, complemented
189	#11718425	C₂²	1	1	yes	characteristic, complemented
190	#11718425	C₂²	1	1	yes	characteristic, complemented
191	#11718397	C₂²	1	1	yes	characteristic, complemented
192	#11718397	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718393	C₂²	1	1	yes	characteristic, complemented
195	#11718391	C₂²	1	1	yes	characteristic, complemented
196	#11718389	C₂²	1	1	yes	characteristic, complemented
197	#11718381	C₂²	1	1	yes	characteristic, complemented
198	#11718380	C₂²	1	1	yes	characteristic, complemented
199	#11718355	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	#11718340	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	C₂³×Dic₁₃	—	2	1	no	—
212	C₂×#6131	C₂³	1	1	yes	characteristic
213	C₂×#6129	—	2	1	no	—
214	C₂×D₄×D₁₃	—	2	1	no	—
215	C₂×D₄×D₁₃	—	2	1	no	—
216	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×#6127	—	2	1	no	—
219	C₂²×D₅₂	C₂³	1	1	yes	characteristic
220	C₂²×D₅₂	C₂³	1	1	yes	characteristic
221	C₁₃×#135	—	4	2	no	—
222	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×D₈	—	4	2	no	—
228	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
232	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₁₃×#124	C₂³	1	1	yes	characteristic
235	C₁₃×#124	C₂³	1	1	yes	characteristic
236	C₁₃×#123	—	2	1	no	—
237	C₁₃×#123	—	2	1	no	—
238	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
240	C₁₃×#121	—	2	1	no	—
241	C₁₃×#121	—	2	1	no	—
242	C₁₃×#121	C₂³	1	1	yes	characteristic
243	C₁₃×#121	C₂³	1	1	yes	characteristic
244	C₁₃×#120	—	2	1	no	—
245	C₁₃×#120	—	2	1	no	—
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
250	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
251	#88207	—	2	1	no	—
252	#88207	—	2	1	no	—
253	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
254	#88203	—	4	2	no	—
255	#88201	C₂³	1	1	yes	characteristic
256	#88201	C₂³	1	1	yes	characteristic
257	#88201	C₂³	1	1	yes	characteristic
258	#88200	C₂³	1	1	yes	characteristic
259	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
260	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×#6106	C₂³	1	1	yes	characteristic
263	C₂×#6106	C₂³	1	1	yes	characteristic
264	C₂×#6106	C₂³	1	1	yes	characteristic
265	C₂×#6106	C₂³	1	1	yes	characteristic
266	#88194	—	2	1	no	—
267	#88194	—	2	1	no	—
268	#88194	—	2	1	no	—
269	#88194	C₂³	1	1	yes	characteristic
270	#88194	C₂³	1	1	yes	characteristic
271	#88194	C₂³	1	1	yes	characteristic
272	#88194	C₂³	1	1	yes	characteristic
273	#88194	C₂³	1	1	yes	characteristic
274	#88194	C₂³	1	1	yes	characteristic
275	#88193	—	2	1	no	—
276	#88193	—	2	1	no	—
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88193	—	2	1	no	—
280	#88193	—	2	1	no	—
281	#88193	D₄	1	1	yes	characteristic
282	#88192	—	2	1	no	—
283	#88192	—	2	1	no	—
284	#88192	—	2	1	no	—
285	#88192	C₂³	1	1	yes	characteristic
286	#88192	C₂³	1	1	yes	characteristic
287	#88191	—	2	1	no	—
288	#88191	—	2	1	no	—
289	#88191	—	2	1	no	—
290	#88191	—	2	1	no	—
291	#88191	—	2	1	no	—
292	#88191	—	2	1	no	—
293	#88189	D₄	1	1	yes	characteristic
294	D₄×Dic₁₃	—	2	1	no	—
295	D₄×Dic₁₃	—	2	1	no	—
296	D₄×Dic₁₃	—	2	1	no	—
297	D₄×Dic₁₃	—	2	1	no	—
298	D₄×Dic₁₃	—	2	1	no	—
299	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×#6104	—	4	2	no	—
306	C₂×#6104	C₂³	1	1	yes	characteristic
307	C₂×#6104	C₂³	1	1	yes	characteristic
308	C₂×#6104	C₂³	1	1	yes	characteristic
309	C₂×#6104	C₂³	1	1	yes	characteristic
310	C₂×#6104	C₂³	1	1	yes	characteristic
311	C₂×#6104	C₂³	1	1	yes	characteristic
312	C₂×#6104	C₂³	1	1	yes	characteristic
313	C₂×#6104	C₂³	1	1	yes	characteristic
314	#88184	—	2	1	no	—
315	#88184	—	2	1	no	—
316	#88184	—	2	1	no	—
317	#88184	—	2	1	no	—
318	#88184	—	2	1	no	—
319	#88184	C₂³	1	1	yes	characteristic
320	#88184	C₂³	1	1	yes	characteristic
321	#88184	C₂³	1	1	yes	characteristic
322	#88184	C₂³	1	1	yes	characteristic
323	#88183	—	2	1	no	—
324	#88183	—	2	1	no	—
325	C₄×C₂²⋊D₁₃	—	2	1	no	—
326	C₄×C₂²⋊D₁₃	—	2	1	no	—
327	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
328	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
329	C₂×#6103	—	2	1	no	—
330	C₂×#6103	—	2	1	no	—
331	#88180	—	2	1	no	—
332	#88180	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊Dic₁₃	—	2	1	no	—
334	C₂×C₄⋊Dic₁₃	—	2	1	no	—
335	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
337	#88178	—	2	1	no	—
338	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
339	C₂×#6099	C₂³	1	1	yes	characteristic
340	C₂²×#1055	C₂³	1	1	yes	characteristic
341	#88168	—	4	2	no	—
342	D₈×D₁₃	—	4	2	no	—
343	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
344	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
345	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
346	C₂×#6094	C₂³	1	1	yes	characteristic
347	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
348	#88152	—	2	1	no	—
349	#88152	—	2	1	no	—
350	#88152	—	2	1	no	—
351	#88152	D₄	1	1	yes	characteristic
352	#88151	—	2	1	no	—
353	#88149	—	2	1	no	—
354	#88149	—	2	1	no	—
355	#88149	C₂³	1	1	yes	characteristic
356	#88148	—	2	1	no	—
357	#88147	C₂³	1	1	yes	characteristic
358	#88147	C₂³	1	1	yes	characteristic
359	#88147	C₂³	1	1	yes	characteristic
360	#88146	—	2	1	no	—
361	#88146	—	2	1	no	—
362	#88146	C₂³	1	1	yes	characteristic
363	#88144	—	2	1	no	—
364	#88144	C₂³	1	1	yes	characteristic
365	#88144	C₂³	1	1	yes	characteristic
366	#88144	C₂³	1	1	yes	characteristic
367	#88143	D₄	1	1	yes	characteristic
368	#88140	—	2	1	no	—
369	#88140	—	2	1	no	—
370	#88140	—	2	1	no	—
371	#88140	—	2	1	no	—
372	#88140	—	2	1	no	—
373	#88140	—	2	1	no	—
374	#88140	—	2	1	no	—
375	#88140	—	2	1	no	—
376	#88140	—	2	1	no	—
377	#88140	—	2	1	no	—
378	#88140	—	2	1	no	—
379	#88140	D₄	1	1	yes	characteristic
380	#88139	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	D₄	1	1	yes	characteristic
384	#88138	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88137	—	2	1	no	—
393	#88137	—	2	1	no	—
394	#88137	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88136	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88136	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	#88135	—	2	1	no	—
405	#88135	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	#88133	—	2	1	no	—
409	#88133	—	2	1	no	—
410	#88133	D₄	1	1	yes	characteristic
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	D₄	1	1	yes	characteristic
415	#88131	—	2	1	no	—
416	#88128	C₂³	1	1	yes	characteristic
417	C₄×D₅₂	C₂³	1	1	yes	characteristic
418	C₄×D₅₂	C₂³	1	1	yes	characteristic
419	#88126	C₂³	1	1	yes	characteristic
420	#88123	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	C₁₃×#107	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic
430	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
431	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	C₂²⋊#1055	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	#88061	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88061	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88058	C₂³	1	1	yes	characteristic
460	#88058	C₂³	1	1	yes	characteristic
461	#88058	C₂³	1	1	yes	characteristic
462	#88055	C₂³	1	1	yes	characteristic
463	#88055	C₂³	1	1	yes	characteristic
464	#88055	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	#88054	C₂³	1	1	yes	characteristic
469	#88054	C₂³	1	1	yes	characteristic
470	#88054	C₂³	1	1	yes	characteristic
471	#88054	C₂³	1	1	yes	characteristic
472	#88054	C₂³	1	1	yes	characteristic
473	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88048	C₂³	1	1	yes	characteristic
479	#88048	C₂³	1	1	yes	characteristic
480	#88048	C₂³	1	1	yes	characteristic
481	#88048	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	#88043	C₂³	1	1	yes	characteristic
484	#62007	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂⁴×C₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₁₃×#41	—	2	2	no	—
492	C₁₃×#41	—	4	1	no	—
493	C₁₃×#41	—	4	1	no	—
494	C₁₃×#41	—	4	1	no	—
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	—	2	2	no	—
498	C₂×D₄×C₁₃	—	2	1	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	1	no	—
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	4	1	no	—
505	C₂×D₄×C₁₃	—	4	1	no	—
506	C₂×D₄×C₁₃	—	4	1	no	—
507	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₃	—	2	1	no	—
513	C₂²×C₄×C₁₃	—	2	1	no	—
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	8	2	no	—
539	C₂×C₂²⋊D₁₃	—	8	2	no	—
540	C₂×C₂²⋊D₁₃	—	8	2	no	—
541	C₂×C₂²⋊D₁₃	—	8	2	no	—
542	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	—	2	1	no	—
546	C₂²×Dic₁₃	—	2	1	no	—
547	C₂²×Dic₁₃	—	2	1	no	—
548	C₂²×Dic₁₃	—	2	1	no	—
549	C₂²×Dic₁₃	—	2	1	no	—
550	C₂²×Dic₁₃	—	2	1	no	—
551	C₂²×Dic₁₃	—	2	1	no	—
552	C₂²×Dic₁₃	—	8	2	no	—
553	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
555	#6131	—	4	1	no	—
556	#6131	—	4	1	no	—
557	#6129	—	8	2	no	—
558	D₄×D₁₃	—	2	2	no	—
559	D₄×D₁₃	—	4	1	no	—
560	D₄×D₁₃	—	4	1	no	—
561	D₄×D₁₃	—	4	1	no	—
562	D₄×D₁₃	—	8	2	no	—
563	D₄×D₁₃	—	8	2	no	—
564	#6127	—	8	2	no	—
565	C₂×D₅₂	—	2	1	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	—	2	1	no	—
569	C₂×D₅₂	—	2	1	no	—
570	C₂×D₅₂	—	2	1	no	—
571	C₂×D₅₂	—	4	1	no	—
572	C₂×D₅₂	—	4	1	no	—
573	C₂×D₅₂	—	4	1	no	—
574	C₂×D₅₂	—	4	1	no	—
575	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
576	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
577	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
578	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	2	1	no	—
582	C₂×C₄×D₁₃	—	2	1	no	—
583	C₂×C₄×D₁₃	—	2	1	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₂₆	—	2	1	no	—
587	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
588	C₁₃×Q₁₆	—	4	1	no	—
589	C₁₃×SD₁₆	—	2	2	no	—
590	C₁₃×SD₁₆	—	4	1	no	—
591	C₁₃×SD₁₆	—	4	1	no	—
592	C₁₃×SD₁₆	—	4	1	no	—
593	C₁₃×D₈	—	2	2	no	—
594	C₁₃×D₈	—	2	2	no	—
595	C₁₃×D₈	—	4	1	no	—
596	C₁₃×D₈	—	4	1	no	—
597	C₂×C₈×C₁₃	—	4	1	no	—
598	C₂×C₈×C₁₃	—	4	1	no	—
599	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
600	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
601	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₁₃×C₂²⋊C₄	—	2	1	no	—
609	C₁₃×C₂²⋊C₄	—	2	1	no	—
610	C₁₃×C₂²⋊C₄	—	2	1	no	—
611	C₁₃×C₂²⋊C₄	—	2	1	no	—
612	C₁₃×C₂²⋊C₄	—	2	1	no	—
613	C₁₃×C₂²⋊C₄	—	2	1	no	—
614	C₁₃×C₂²⋊C₄	—	2	1	no	—
615	C₁₃×C₂²⋊C₄	—	2	1	no	—
616	C₁₃×C₂²⋊C₄	—	2	1	no	—
617	C₁₃×C₂²⋊C₄	—	2	1	no	—
618	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₂²⋊Dic₁₃	—	2	1	no	—
622	C₂²⋊Dic₁₃	—	2	1	no	—
623	C₂²⋊Dic₁₃	—	2	1	no	—
624	C₂²⋊Dic₁₃	—	2	1	no	—
625	C₂²⋊Dic₁₃	—	2	1	no	—
626	C₂²⋊Dic₁₃	—	2	1	no	—
627	C₂²⋊Dic₁₃	—	2	1	no	—
628	C₂²⋊Dic₁₃	—	2	1	no	—
629	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
630	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
631	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
632	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
633	#6106	—	4	1	no	—
634	#6106	—	4	1	no	—
635	#6106	—	4	1	no	—
636	#6106	—	4	1	no	—
637	#6104	—	2	2	no	—
638	#6104	—	2	2	no	—
639	#6104	—	2	2	no	—
640	#6104	—	4	1	no	—
641	#6104	—	4	1	no	—
642	#6104	—	4	1	no	—
643	#6104	—	4	1	no	—
644	#6104	—	4	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	—	2	1	no	—
650	#6103	—	2	1	no	—
651	#6103	—	2	1	no	—
652	#6103	—	2	1	no	—
653	#6103	—	2	1	no	—
654	#6103	—	2	1	no	—
655	#6103	—	2	1	no	—
656	#6103	—	2	1	no	—
657	#6103	—	2	1	no	—
658	#6103	—	2	1	no	—
659	#6103	—	2	1	no	—
660	#6103	—	2	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	C₂×D₄	1	1	yes	characteristic
664	#6103	C₂×D₄	1	1	yes	characteristic
665	#6103	C₂×D₄	1	1	yes	characteristic
666	#6103	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₁₃	—	2	1	no	—
668	C₄⋊Dic₁₃	—	2	1	no	—
669	C₄⋊Dic₁₃	—	2	1	no	—
670	C₄⋊Dic₁₃	—	2	1	no	—
671	C₄⋊Dic₁₃	—	2	1	no	—
672	C₄⋊Dic₁₃	—	2	1	no	—
673	C₄⋊Dic₁₃	—	2	1	no	—
674	C₄⋊Dic₁₃	—	2	1	no	—
675	C₄⋊Dic₁₃	—	2	1	no	—
676	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
677	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
682	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
683	#6101	—	2	1	no	—
684	#6101	—	2	1	no	—
685	#6101	—	2	1	no	—
686	#6101	—	2	1	no	—
687	#6101	C₂×D₄	1	1	yes	characteristic
688	#6101	C₂×D₄	1	1	yes	characteristic
689	#6101	C₂×D₄	1	1	yes	characteristic
690	#6101	C₂×D₄	1	1	yes	characteristic
691	#6101	C₂×D₄	1	1	yes	characteristic
692	#6101	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	—	2	1	no	—
694	C₄×Dic₁₃	—	2	1	no	—
695	C₄×Dic₁₃	—	2	1	no	—
696	C₄×Dic₁₃	—	2	1	no	—
697	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
700	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
702	#6099	—	4	1	no	—
703	C₂×#1055	—	4	1	no	—
704	C₂×#1055	C₂⁴	1	1	yes	characteristic
705	C₂×#1055	C₂⁴	1	1	yes	characteristic
706	C₂×#1055	C₂⁴	1	1	yes	characteristic
707	C₂×#1055	C₂⁴	1	1	yes	characteristic
708	D₁₀₄	—	4	1	no	—
709	D₁₀₄	—	4	1	no	—
710	D₁₀₄	—	4	1	no	—
711	#6094	—	4	1	no	—
712	C₈×D₁₃	—	4	1	no	—
713	#3543	—	13	1	no	—
714	#3513	—	13	1	no	—
715	#3403	—	13	1	no	—
716	#3399	—	13	1	no	—
717	#3370	—	13	1	no	—
718	#3366	—	13	1	no	—
719	#3318	—	13	1	no	—
720	#3310	—	13	1	no	—
721	#3309	—	13	1	no	—
722	#3306	—	13	1	no	—
723	#3296	—	13	1	no	—
724	#3294	—	13	1	no	—
725	#3280	D₁₃	1	1	yes	characteristic, complemented
726	D₄×D₈	—	13	1	no	—
727	#3268	—	13	1	no	—
728	#3264	—	13	1	no	—
729	#3264	—	13	1	no	—
730	#3264	—	13	1	no	—
731	#3259	—	13	1	no	—
732	#3257	—	13	1	no	—
733	#3250	—	13	1	no	—
734	#3224	—	13	1	no	—
735	#3220	—	13	1	no	—
736	#3217	—	13	1	no	—
737	#3122	—	13	1	no	—
738	#3119	—	13	1	no	—
739	#3114	—	13	1	no	—
740	#3045	—	13	1	no	—
741	#3041	—	13	1	no	—
742	C₂×#459	—	13	1	no	—
743	#2992	—	13	1	no	—
744	C₂³×C₁₃	—	2	1	no	—
745	C₂³×C₁₃	—	2	1	no	—
746	C₂³×C₁₃	—	2	1	no	—
747	C₂³×C₁₃	—	2	1	no	—
748	C₂³×C₁₃	—	4	2	no	—
749	C₂³×C₁₃	—	4	2	no	—
750	C₂³×C₁₃	—	4	2	no	—
751	C₂³×C₁₃	—	8	1	no	—
752	C₂³×C₁₃	—	8	1	no	—
753	C₂³×C₁₃	—	8	1	no	—
754	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
755	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
756	C₂²×D₁₃	—	2	1	no	—
757	C₂²×D₁₃	—	2	1	no	—
758	C₂²×D₁₃	—	2	1	no	—
759	C₂²×D₁₃	—	2	1	no	—
760	C₂²×D₁₃	—	4	2	no	—
761	C₂²×D₁₃	—	4	2	no	—
762	C₂²×D₁₃	—	8	1	no	—
763	C₂²×D₁₃	—	8	1	no	—
764	C₂²×D₁₃	—	8	1	no	—
765	C₂²×D₁₃	—	8	1	no	—
766	C₂²×D₁₃	—	8	1	no	—
767	C₂²×D₁₃	—	8	1	no	—
768	C₂²×D₁₃	—	8	1	no	—
769	C₂²×D₁₃	—	8	1	no	—
770	C₂²×D₁₃	—	8	1	no	—
771	C₂²×D₁₃	—	8	1	no	—
772	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
773	Q₈×C₁₃	—	2	1	no	—
774	Q₈×C₁₃	—	2	1	no	—
775	Q₈×C₁₃	—	2	1	no	—
776	Q₈×C₁₃	—	2	1	no	—
777	D₄×C₁₃	—	2	2	no	—
778	D₄×C₁₃	—	2	1	no	—
779	D₄×C₁₃	—	2	1	no	—
780	D₄×C₁₃	—	2	1	no	—
781	D₄×C₁₃	—	2	1	no	—
782	D₄×C₁₃	—	2	1	no	—
783	D₄×C₁₃	—	2	1	no	—
784	D₄×C₁₃	—	2	1	no	—
785	D₄×C₁₃	—	4	2	no	—
786	D₄×C₁₃	—	4	2	no	—
787	D₄×C₁₃	—	8	1	no	—
788	D₄×C₁₃	—	8	1	no	—
789	D₄×C₁₃	—	8	1	no	—
790	D₄×C₁₃	—	8	1	no	—
791	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
792	C₂×C₄×C₁₃	—	2	1	no	—
793	C₂×C₄×C₁₃	—	2	1	no	—
794	C₂×C₄×C₁₃	—	2	1	no	—
795	C₂×C₄×C₁₃	—	2	1	no	—
796	C₂×C₄×C₁₃	—	2	1	no	—
797	C₂×C₄×C₁₃	—	2	1	no	—
798	C₂×C₄×C₁₃	—	2	1	no	—
799	C₂×C₄×C₁₃	—	2	1	no	—
800	C₂×C₄×C₁₃	—	4	2	no	—
801	C₂×C₄×C₁₃	—	8	1	no	—
802	C₂×C₄×C₁₃	—	8	1	no	—
803	C₂×C₄×C₁₃	—	8	1	no	—
804	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
809	C₂²⋊D₁₃	—	2	2	no	—
810	C₂²⋊D₁₃	—	4	1	no	—
811	C₂²⋊D₁₃	—	4	2	no	—
812	C₂²⋊D₁₃	—	4	2	no	—
813	C₂²⋊D₁₃	—	4	2	no	—
814	C₂²⋊D₁₃	—	4	2	no	—
815	C₂²⋊D₁₃	—	4	2	no	—
816	C₂²⋊D₁₃	—	8	1	no	—
817	C₂²⋊D₁₃	—	8	1	no	—
818	C₂²⋊D₁₃	—	8	1	no	—
819	C₂²⋊D₁₃	—	8	1	no	—
820	C₂²⋊D₁₃	—	8	1	no	—
821	C₂²⋊D₁₃	—	8	1	no	—
822	C₂²⋊D₁₃	—	8	1	no	—
823	C₂²⋊D₁₃	—	8	1	no	—
824	C₂²⋊D₁₃	—	8	1	no	—
825	C₂²⋊D₁₃	—	8	1	no	—
826	C₂²⋊D₁₃	—	8	1	no	—
827	C₂²⋊D₁₃	—	8	1	no	—
828	C₂²⋊D₁₃	—	8	1	no	—
829	C₂²⋊D₁₃	—	8	1	no	—
830	C₂²⋊D₁₃	—	8	1	no	—
831	C₂×Dic₁₃	—	2	2	no	—
832	C₂×Dic₁₃	—	2	1	no	—
833	C₂×Dic₁₃	—	2	1	no	—
834	C₂×Dic₁₃	—	2	1	no	—
835	C₂×Dic₁₃	—	2	1	no	—
836	C₂×Dic₁₃	—	4	1	no	—
837	C₂×Dic₁₃	—	4	2	no	—
838	C₂×Dic₁₃	—	8	1	no	—
839	C₂×Dic₁₃	—	8	1	no	—
840	C₂×Dic₁₃	—	8	1	no	—
841	C₂×Dic₁₃	—	8	1	no	—
842	C₂×Dic₁₃	—	8	1	no	—
843	C₂×Dic₁₃	—	8	1	no	—
844	C₂×Dic₁₃	—	8	1	no	—
845	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
849	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
852	D₅₂	—	2	1	no	—
853	D₅₂	—	2	1	no	—
854	D₅₂	—	2	1	no	—
855	D₅₂	—	2	1	no	—
856	D₅₂	—	2	1	no	—
857	D₅₂	—	2	1	no	—
858	D₅₂	—	2	1	no	—
859	D₅₂	—	2	1	no	—
860	D₅₂	—	8	1	no	—
861	D₅₂	—	8	1	no	—
862	D₅₂	—	8	1	no	—
863	D₅₂	—	8	1	no	—
864	D₅₂	—	8	1	no	—
865	D₅₂	—	8	1	no	—
866	C₄×D₁₃	—	2	1	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	4	2	no	—
869	C₄×D₁₃	—	8	1	no	—
870	C₄×D₁₃	—	8	1	no	—
871	C₄×D₁₃	—	8	1	no	—
872	C₄×D₁₃	—	8	1	no	—
873	C₄×D₁₃	—	8	1	no	—
874	Dic₂₆	—	4	1	no	—
875	Dic₂₆	—	8	1	no	—
876	C₈×C₁₃	—	2	1	no	—
877	C₈×C₁₃	—	2	1	no	—
878	C₈×C₁₃	—	2	1	no	—
879	C₈×C₁₃	—	2	1	no	—
880	#1055	—	2	1	no	—
881	#1055	—	2	1	no	—
882	#1055	—	2	1	no	—
883	#1055	—	2	1	no	—
884	C₂×AGL(1,ℤ/8)	—	13	1	no	—
885	C₂×AGL(1,ℤ/8)	—	13	1	no	—
886	C₂×#135	C₂×D₁₃	1	1	yes	characteristic, complemented
887	C₂²×D₈	—	13	1	no	—
888	C₂²×D₈	—	13	1	no	—
889	C₂²×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
890	#560	—	26	1	no	—
891	#560	—	26	1	no	—
892	#559	—	13	1	no	—
893	#559	—	13	1	no	—
894	#554	—	13	1	no	—
895	#553	—	13	1	no	—
896	#553	—	26	1	no	—
897	#552	—	13	1	no	—
898	#551	—	26	1	no	—
899	#551	—	26	1	no	—
900	#550	—	13	1	no	—
901	#550	—	13	1	no	—
902	#547	—	13	1	no	—
903	#546	—	13	1	no	—
904	#546	—	13	1	no	—
905	#546	—	26	1	no	—
906	#546	—	26	1	no	—
907	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
908	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
909	D₄²	—	13	1	no	—
910	D₄²	—	13	1	no	—
911	D₄²	—	13	1	no	—
912	D₄²	—	13	1	no	—
913	D₄²	—	26	1	no	—
914	#542	—	13	1	no	—
915	#540	—	13	1	no	—
916	#540	—	13	1	no	—
917	#540	—	13	1	no	—
918	#540	—	26	1	no	—
919	#539	—	26	1	no	—
920	#538	—	26	1	no	—
921	#535	—	13	1	no	—
922	#535	—	13	1	no	—
923	#535	—	26	1	no	—
924	#534	—	26	1	no	—
925	#534	—	26	1	no	—
926	C₂×#127	—	13	1	no	—
927	#529	—	13	1	no	—
928	#529	—	13	1	no	—
929	#529	—	13	1	no	—
930	#525	—	26	1	no	—
931	C₂×#123	—	26	1	no	—
932	#520	—	13	1	no	—
933	#518	—	13	1	no	—
934	C₂×C₄×D₄	—	13	1	no	—
935	#496	—	13	1	no	—
936	#496	—	13	1	no	—
937	#496	—	13	1	no	—
938	#496	—	13	1	no	—
939	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
940	#493	—	13	1	no	—
941	#490	—	13	1	no	—
942	#490	—	13	1	no	—
943	#490	—	13	1	no	—
944	#489	—	13	1	no	—
945	#488	—	13	1	no	—
946	#486	—	13	1	no	—
947	#483	—	13	1	no	—
948	#482	—	13	1	no	—
949	#482	—	13	1	no	—
950	#481	—	13	1	no	—
951	#480	—	13	1	no	—
952	#480	—	13	1	no	—
953	#479	—	13	1	no	—
954	#479	—	13	1	no	—
955	#478	—	13	1	no	—
956	#478	—	13	1	no	—
957	#478	—	13	1	no	—
958	#478	—	13	1	no	—
959	#478	—	13	1	no	—
960	#478	—	13	1	no	—
961	#476	—	13	1	no	—
962	#474	—	13	1	no	—
963	#469	—	13	1	no	—
964	#469	—	13	1	no	—
965	#469	—	13	1	no	—
966	#468	—	13	1	no	—
967	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
968	#466	—	13	1	no	—
969	#466	—	13	1	no	—
970	#466	—	13	1	no	—
971	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#465	—	13	1	no	—
973	#465	—	13	1	no	—
974	#465	—	13	1	no	—
975	#464	—	13	1	no	—
976	#464	—	13	1	no	—
977	#464	—	13	1	no	—
978	#463	—	13	1	no	—
979	#463	—	13	1	no	—
980	#463	—	13	1	no	—
981	#463	—	13	1	no	—
982	#463	—	13	1	no	—
983	#463	—	13	1	no	—
984	#463	—	13	1	no	—
985	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
987	#460	—	13	1	no	—
988	#460	—	13	1	no	—
989	#460	—	13	1	no	—
990	#459	—	13	1	no	—
991	#459	—	13	1	no	—
992	#459	—	13	1	no	—
993	#459	—	13	1	no	—
994	#459	—	13	1	no	—
995	#459	—	13	1	no	—
996	#459	—	13	1	no	—
997	#459	—	13	1	no	—
998	#459	—	13	1	no	—
999	#459	—	13	1	no	—
1000	#459	—	13	1	no	—
1001	#459	—	13	1	no	—
1002	#459	—	13	1	no	—
1003	#459	—	13	1	no	—
1004	#459	—	13	1	no	—
1005	#452	—	13	1	no	—
1006	#450	—	13	1	no	—
1007	#450	—	13	1	no	—
1008	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1009	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#449	—	13	1	no	—
1011	#449	—	13	1	no	—
1012	#449	—	13	1	no	—
1013	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#447	—	13	1	no	—
1016	#447	—	13	1	no	—
1017	#447	—	13	1	no	—
1018	#447	—	13	1	no	—
1019	#447	—	13	1	no	—
1020	#447	—	13	1	no	—
1021	#447	—	13	1	no	—
1022	#447	—	13	1	no	—
1023	#446	—	13	1	no	—
1024	#446	—	13	1	no	—
1025	#442	—	13	1	no	—
1026	#442	—	13	1	no	—
1027	#442	—	13	1	no	—
1028	#442	—	13	1	no	—
1029	#442	—	13	1	no	—
1030	#440	—	13	1	no	—
1031	#440	—	13	1	no	—
1032	#440	—	13	1	no	—
1033	C₄×SD₁₆	—	13	1	no	—
1034	C₄×D₈	—	13	1	no	—
1035	C₄×D₈	—	13	1	no	—
1036	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1037	#435	—	13	1	no	—
1038	#435	—	13	1	no	—
1039	#435	—	13	1	no	—
1040	#435	—	13	1	no	—
1041	C₈×D₄	—	13	1	no	—
1042	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1043	#433	—	13	1	no	—
1044	#433	—	13	1	no	—
1045	#432	—	13	1	no	—
1046	#424	—	13	1	no	—
1047	#424	—	13	1	no	—
1048	C₂×C₄⋊C₈	—	13	1	no	—
1049	#418	—	13	1	no	—
1050	#417	—	13	1	no	—
1051	#416	—	13	1	no	—
1052	C₂×#102	—	13	1	no	—
1053	C₂×#102	—	13	1	no	—
1054	C₂×#102	—	13	1	no	—
1055	C₂²×C₁₃	—	2	1	no	—
1056	C₂²×C₁₃	—	2	1	no	—
1057	C₂²×C₁₃	—	2	1	no	—
1058	C₂²×C₁₃	—	2	2	no	—
1059	C₂²×C₁₃	—	2	1	no	—
1060	C₂²×C₁₃	—	2	1	no	—
1061	C₂²×C₁₃	—	4	1	no	—
1062	C₂²×C₁₃	—	4	1	no	—
1063	C₂²×C₁₃	—	4	1	no	—
1064	C₂²×C₁₃	—	4	1	no	—
1065	C₂²×C₁₃	—	4	1	no	—
1066	C₂²×C₁₃	—	4	1	no	—
1067	C₂²×C₁₃	—	4	1	no	—
1068	C₂²×C₁₃	—	4	1	no	—
1069	C₂²×C₁₃	—	4	1	no	—
1070	C₂²×C₁₃	—	4	1	no	—
1071	C₂²×C₁₃	—	4	1	no	—
1072	C₂²×C₁₃	—	8	4	no	—
1073	C₂²×C₁₃	—	16	2	no	—
1074	C₂²×C₁₃	#576	1	2	yes	—
1075	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1076	C₂×D₁₃	—	2	1	no	—
1077	C₂×D₁₃	—	2	1	no	—
1078	C₂×D₁₃	—	2	1	no	—
1079	C₂×D₁₃	—	4	1	no	—
1080	C₂×D₁₃	—	4	1	no	—
1081	C₂×D₁₃	—	4	1	no	—
1082	C₂×D₁₃	—	4	1	no	—
1083	C₂×D₁₃	—	4	1	no	—
1084	C₂×D₁₃	—	4	1	no	—
1085	C₂×D₁₃	—	4	1	no	—
1086	C₂×D₁₃	—	4	1	no	—
1087	C₂×D₁₃	—	4	1	no	—
1088	C₂×D₁₃	—	4	1	no	—
1089	C₂×D₁₃	—	4	1	no	—
1090	C₂×D₁₃	—	4	1	no	—
1091	C₂×D₁₃	—	16	2	no	—
1092	C₂×D₁₃	—	16	2	no	—
1093	C₂×D₁₃	—	16	2	no	—
1094	C₂×D₁₃	—	16	2	no	—
1095	C₄×C₁₃	—	2	1	no	—
1096	C₄×C₁₃	—	2	1	no	—
1097	C₄×C₁₃	—	2	1	no	—
1098	C₄×C₁₃	—	2	1	no	—
1099	C₄×C₁₃	—	4	1	no	—
1100	C₄×C₁₃	—	4	1	no	—
1101	C₄×C₁₃	—	4	1	no	—
1102	C₄×C₁₃	—	4	1	no	—
1103	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1104	C₄×C₁₃	#585	1	1	yes	characteristic
1105	Dic₁₃	—	2	1	no	—
1106	Dic₁₃	—	2	1	no	—
1107	Dic₁₃	—	2	1	no	—
1108	Dic₁₃	—	2	1	no	—
1109	Dic₁₃	—	2	1	no	—
1110	Dic₁₃	—	2	1	no	—
1111	Dic₁₃	—	2	1	no	—
1112	Dic₁₃	—	4	1	no	—
1113	Dic₁₃	—	4	1	no	—
1114	Dic₁₃	—	4	1	no	—
1115	Dic₁₃	—	4	1	no	—
1116	C₂×#41	—	13	1	no	—
1117	C₂×#41	—	26	1	no	—
1118	C₂×#41	—	26	1	no	—
1119	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1120	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1121	C₂²×D₄	—	13	1	no	—
1122	C₂²×D₄	—	13	1	no	—
1123	C₂²×D₄	—	13	1	no	—
1124	C₂²×D₄	—	13	1	no	—
1125	C₂²×D₄	—	26	1	no	—
1126	C₂²×D₄	—	26	1	no	—
1127	C₂²×D₄	—	26	1	no	—
1128	C₂²×D₄	—	26	1	no	—
1129	C₂²×D₄	—	26	1	no	—
1130	C₂²×D₄	—	26	1	no	—
1131	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂³×C₄	—	26	1	no	—
1134	AGL(1,ℤ/8)	—	52	2	no	—
1135	AGL(1,ℤ/8)	—	52	2	no	—
1136	#135	—	4	2	no	—
1137	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂×SD₁₆	—	13	1	no	—
1139	C₂×SD₁₆	—	13	1	no	—
1140	C₂×SD₁₆	—	13	1	no	—
1141	C₂×SD₁₆	—	13	1	no	—
1142	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1145	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1146	C₂×D₈	—	4	2	no	—
1147	C₂×D₈	—	13	1	no	—
1148	C₂×D₈	—	13	1	no	—
1149	C₂×D₈	—	13	1	no	—
1150	C₂×D₈	—	13	1	no	—
1151	C₂×D₈	—	13	1	no	—
1152	C₂×D₈	—	13	1	no	—
1153	C₂×D₈	—	13	1	no	—
1154	C₂×D₈	—	13	1	no	—
1155	C₂×D₈	—	13	1	no	—
1156	C₂×D₈	—	13	1	no	—
1157	C₂×D₈	—	13	1	no	—
1158	C₂×D₈	—	52	2	no	—
1159	C₂×D₈	—	52	2	no	—
1160	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1161	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1162	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×M₁₆	—	13	1	no	—
1165	C₂×M₁₆	—	13	1	no	—
1166	C₂²×C₈	—	13	1	no	—
1167	C₂²×C₈	—	13	1	no	—
1168	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1169	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1170	C₄⋊Q₈	—	13	1	no	—
1171	#127	—	13	1	no	—
1172	#127	—	13	1	no	—
1173	#127	—	13	1	no	—
1174	#127	—	13	1	no	—
1175	#127	—	13	1	no	—
1176	#127	—	13	1	no	—
1177	#127	—	13	1	no	—
1178	#127	—	26	1	no	—
1179	#127	—	26	1	no	—
1180	#127	—	26	1	no	—
1181	#126	—	13	1	no	—
1182	#126	—	13	1	no	—
1183	#126	—	26	1	no	—
1184	#126	—	26	1	no	—
1185	#126	—	26	1	no	—
1186	#126	—	26	1	no	—
1187	#126	—	26	1	no	—
1188	#125	—	13	1	no	—
1189	#125	—	13	1	no	—
1190	#125	—	13	1	no	—
1191	#125	—	13	1	no	—
1192	#125	—	26	1	no	—
1193	#124	—	13	1	no	—
1194	#124	—	13	1	no	—
1195	#124	—	13	1	no	—
1196	#124	—	13	1	no	—
1197	#124	—	26	1	no	—
1198	#124	—	26	1	no	—
1199	#124	—	26	1	no	—
1200	#124	C₂²×D₁₃	1	1	yes	characteristic
1201	#124	C₂²×D₁₃	1	1	yes	characteristic
1202	#123	—	2	1	no	—
1203	#123	—	2	1	no	—
1204	#123	—	13	1	no	—
1205	#123	—	13	1	no	—
1206	#123	—	26	1	no	—
1207	#123	—	26	1	no	—
1208	#123	—	26	1	no	—
1209	#123	—	26	1	no	—
1210	#123	—	26	1	no	—
1211	#123	—	26	1	no	—
1212	#123	—	26	1	no	—
1213	#123	—	26	1	no	—
1214	#123	—	26	1	no	—
1215	#123	—	26	1	no	—
1216	#123	—	26	1	no	—
1217	#123	—	26	1	no	—
1218	#123	—	26	1	no	—
1219	#123	—	26	1	no	—
1220	#123	—	26	1	no	—
1221	#123	—	26	1	no	—
1222	#123	—	26	1	no	—
1223	#123	—	26	1	no	—
1224	#123	—	26	1	no	—
1225	C₂²⋊Q₈	—	13	1	no	—
1226	C₂²⋊Q₈	—	13	1	no	—
1227	C₂²⋊Q₈	—	26	1	no	—
1228	C₂²⋊Q₈	—	26	1	no	—
1229	C₂²⋊Q₈	—	26	1	no	—
1230	C₂²⋊Q₈	—	26	1	no	—
1231	C₂²⋊Q₈	—	26	1	no	—
1232	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1234	#121	—	2	1	no	—
1235	#121	—	2	1	no	—
1236	#121	—	13	1	no	—
1237	#121	—	13	1	no	—
1238	#121	—	13	1	no	—
1239	#121	—	13	1	no	—
1240	#121	—	13	1	no	—
1241	#121	—	13	1	no	—
1242	#121	—	13	1	no	—
1243	#121	—	13	1	no	—
1244	#121	—	26	1	no	—
1245	#121	—	26	1	no	—
1246	#121	—	26	1	no	—
1247	#121	—	26	1	no	—
1248	#121	—	26	1	no	—
1249	#121	—	26	1	no	—
1250	#121	—	26	1	no	—
1251	#121	—	26	1	no	—
1252	#121	—	26	1	no	—
1253	#121	—	26	1	no	—
1254	#121	—	26	1	no	—
1255	#121	—	26	1	no	—
1256	#121	—	26	1	no	—
1257	#121	—	26	1	no	—
1258	#121	—	26	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	—	26	1	no	—
1262	#121	—	26	1	no	—
1263	#121	—	26	1	no	—
1264	#121	—	26	1	no	—
1265	#121	—	26	1	no	—
1266	#121	C₂²×D₁₃	1	1	yes	characteristic
1267	#121	C₂²×D₁₃	1	1	yes	characteristic
1268	#120	—	2	1	no	—
1269	#120	—	2	1	no	—
1270	#120	—	26	1	no	—
1271	#120	—	26	1	no	—
1272	#120	—	26	1	no	—
1273	#120	—	26	1	no	—
1274	#120	—	26	1	no	—
1275	#120	—	26	1	no	—
1276	#120	—	26	1	no	—
1277	#120	—	26	1	no	—
1278	#120	—	26	1	no	—
1279	#120	—	26	1	no	—
1280	#120	—	26	1	no	—
1281	#120	—	26	1	no	—
1282	#120	—	26	1	no	—
1283	#120	—	26	1	no	—
1284	C₄×Q₈	—	13	1	no	—
1285	C₄×Q₈	—	13	1	no	—
1286	C₄×Q₈	—	13	1	no	—
1287	C₄×Q₈	—	13	1	no	—
1288	C₄×D₄	—	13	1	no	—
1289	C₄×D₄	—	13	1	no	—
1290	C₄×D₄	—	13	1	no	—
1291	C₄×D₄	—	13	1	no	—
1292	C₄×D₄	—	13	1	no	—
1293	C₄×D₄	—	13	1	no	—
1294	C₄×D₄	—	13	1	no	—
1295	C₄×D₄	—	13	1	no	—
1296	C₄×D₄	—	13	1	no	—
1297	C₄×D₄	—	13	1	no	—
1298	C₄×D₄	—	13	1	no	—
1299	C₄×D₄	—	13	1	no	—
1300	C₄×D₄	—	13	1	no	—
1301	C₄×D₄	—	26	1	no	—
1302	C₄×D₄	—	26	1	no	—
1303	C₄×D₄	—	26	1	no	—
1304	C₄×D₄	—	26	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	—	26	1	no	—
1307	C₄×D₄	—	26	1	no	—
1308	C₄×D₄	—	26	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1314	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1315	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1316	#117	—	13	1	no	—
1317	#117	—	13	1	no	—
1318	#117	—	13	1	no	—
1319	#117	—	26	1	no	—
1320	#117	—	26	1	no	—
1321	#117	—	26	1	no	—
1322	#117	—	26	1	no	—
1323	C₂×C₄⋊C₄	—	13	1	no	—
1324	C₂×C₄⋊C₄	—	13	1	no	—
1325	C₂×C₄⋊C₄	—	26	1	no	—
1326	C₂×C₄⋊C₄	—	26	1	no	—
1327	C₂×C₂²⋊C₄	—	2	1	no	—
1328	C₂×C₂²⋊C₄	—	2	1	no	—
1329	C₂×C₂²⋊C₄	—	26	1	no	—
1330	C₂×C₂²⋊C₄	—	26	1	no	—
1331	C₂×C₂²⋊C₄	—	26	1	no	—
1332	C₂×C₂²⋊C₄	—	26	1	no	—
1333	C₂×C₂²⋊C₄	—	26	1	no	—
1334	C₂×C₄²	—	13	1	no	—
1335	#107	—	13	1	no	—
1336	#107	—	13	1	no	—
1337	#107	—	13	1	no	—
1338	#107	C₂²×D₁₃	1	1	yes	characteristic
1339	#106	—	13	1	no	—
1340	#106	—	13	1	no	—
1341	#106	—	13	1	no	—
1342	#106	—	13	1	no	—
1343	C₄⋊C₈	—	13	1	no	—
1344	C₄⋊C₈	—	13	1	no	—
1345	C₄⋊C₈	—	13	1	no	—
1346	C₄⋊C₈	—	13	1	no	—
1347	C₄⋊C₈	—	13	1	no	—
1348	C₄⋊C₈	—	13	1	no	—
1349	C₄⋊C₈	—	13	1	no	—
1350	C₄⋊C₈	—	13	1	no	—
1351	C₄⋊C₈	—	13	1	no	—
1352	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1353	#103	—	13	1	no	—
1354	#103	—	13	1	no	—
1355	#103	—	13	1	no	—
1356	#103	—	13	1	no	—
1357	#103	C₂²×D₁₃	1	1	yes	characteristic
1358	#103	C₂²×D₁₃	1	1	yes	characteristic
1359	#102	—	13	1	no	—
1360	#102	—	13	1	no	—
1361	#102	—	13	1	no	—
1362	#102	—	13	1	no	—
1363	#102	—	13	1	no	—
1364	#102	—	13	1	no	—
1365	#102	—	13	1	no	—
1366	#102	—	13	1	no	—
1367	#102	—	13	1	no	—
1368	#102	—	13	1	no	—
1369	#102	—	13	1	no	—
1370	#102	—	13	1	no	—
1371	#102	—	13	1	no	—
1372	#102	—	13	1	no	—
1373	#102	—	13	1	no	—
1374	#102	—	13	1	no	—
1375	#102	—	13	1	no	—
1376	#102	—	13	1	no	—
1377	#102	—	13	1	no	—
1378	#102	—	13	1	no	—
1379	#102	—	13	1	no	—
1380	#102	—	13	1	no	—
1381	#102	C₂²×D₁₃	1	1	yes	characteristic
1382	#102	C₂²×D₁₃	1	1	yes	characteristic
1383	#102	C₂²×D₁₃	1	1	yes	characteristic
1384	#102	C₂²×D₁₃	1	1	yes	characteristic
1385	C₂²⋊C₈	—	13	1	no	—
1386	C₂²⋊C₈	—	13	1	no	—
1387	C₂²⋊C₈	—	13	1	no	—
1388	C₂²⋊C₈	—	13	1	no	—
1389	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1390	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1391	#97	—	13	1	no	—
1392	#97	—	13	1	no	—
1393	#97	—	13	1	no	—
1394	#97	—	13	1	no	—
1395	C₄×C₈	—	13	1	no	—
1396	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1397	C₂×C₁₃	—	2	2	no	—
1398	C₂×C₁₃	—	4	1	no	—
1399	C₂×C₁₃	—	4	2	no	—
1400	C₂×C₁₃	—	8	1	no	—
1401	C₂×C₁₃	—	8	1	no	—
1402	C₂×C₁₃	—	8	1	no	—
1403	C₂×C₁₃	#3488	1	1	yes	characteristic
1404	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1405	C₂×C₁₃	#3585	1	1	yes	characteristic
1406	D₁₃	—	4	1	no	—
1407	D₁₃	—	8	1	no	—
1408	D₁₃	—	8	1	no	—
1409	D₁₃	—	8	1	no	—
1410	D₁₃	—	8	1	no	—
1411	C₂⁴	—	2	1	no	—
1412	C₂⁴	—	2	1	no	—
1413	C₂⁴	—	26	1	no	—
1414	C₂⁴	—	26	1	no	—
1415	C₂⁴	—	26	1	no	—
1416	C₂⁴	—	26	1	no	—
1417	#41	—	2	2	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	52	1	no	—
1422	#41	—	52	1	no	—
1423	#41	—	104	2	no	—
1424	#41	—	104	2	no	—
1425	C₂×Q₈	—	13	1	no	—
1426	C₂×Q₈	—	26	1	no	—
1427	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1428	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1429	C₂×D₄	—	2	2	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	4	1	no	—
1437	C₂×D₄	—	4	1	no	—
1438	C₂×D₄	—	4	1	no	—
1439	C₂×D₄	—	13	1	no	—
1440	C₂×D₄	—	13	1	no	—
1441	C₂×D₄	—	13	1	no	—
1442	C₂×D₄	—	13	1	no	—
1443	C₂×D₄	—	13	1	no	—
1444	C₂×D₄	—	13	1	no	—
1445	C₂×D₄	—	26	1	no	—
1446	C₂×D₄	—	26	1	no	—
1447	C₂×D₄	—	26	1	no	—
1448	C₂×D₄	—	26	1	no	—
1449	C₂×D₄	—	26	1	no	—
1450	C₂×D₄	—	26	1	no	—
1451	C₂×D₄	—	26	1	no	—
1452	C₂×D₄	—	26	1	no	—
1453	C₂×D₄	—	26	1	no	—
1454	C₂×D₄	—	26	1	no	—
1455	C₂×D₄	—	26	1	no	—
1456	C₂×D₄	—	26	1	no	—
1457	C₂×D₄	—	26	1	no	—
1458	C₂×D₄	—	26	1	no	—
1459	C₂×D₄	—	26	1	no	—
1460	C₂×D₄	—	26	1	no	—
1461	C₂×D₄	—	26	2	no	—
1462	C₂×D₄	—	26	1	no	—
1463	C₂×D₄	—	26	1	no	—
1464	C₂×D₄	—	26	1	no	—
1465	C₂×D₄	—	26	1	no	—
1466	C₂×D₄	—	26	1	no	—
1467	C₂×D₄	—	26	1	no	—
1468	C₂×D₄	—	26	1	no	—
1469	C₂×D₄	—	26	1	no	—
1470	C₂×D₄	—	26	1	no	—
1471	C₂×D₄	—	26	1	no	—
1472	C₂×D₄	—	52	1	no	—
1473	C₂×D₄	—	52	1	no	—
1474	C₂×D₄	—	52	1	no	—
1475	C₂×D₄	—	52	1	no	—
1476	C₂×D₄	—	52	1	no	—
1477	C₂×D₄	—	52	1	no	—
1478	C₂×D₄	—	52	1	no	—
1479	C₂×D₄	—	104	2	no	—
1480	C₂×D₄	—	104	2	no	—
1481	C₂×D₄	—	104	2	no	—
1482	C₂×D₄	—	104	2	no	—
1483	C₂×D₄	—	104	2	no	—
1484	C₂×D₄	—	104	2	no	—
1485	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1486	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1487	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1488	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1489	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	13	1	no	—
1495	C₂²×C₄	—	13	1	no	—
1496	C₂²×C₄	—	13	1	no	—
1497	C₂²×C₄	—	26	1	no	—
1498	C₂²×C₄	—	26	1	no	—
1499	C₂²×C₄	—	26	1	no	—
1500	C₂²×C₄	—	26	1	no	—
1501	C₂²×C₄	—	26	1	no	—
1502	C₂²×C₄	—	26	1	no	—
1503	C₂²×C₄	—	26	1	no	—
1504	C₂²×C₄	—	26	1	no	—
1505	C₂²×C₄	—	26	1	no	—
1506	C₂²×C₄	—	26	1	no	—
1507	C₂²×C₄	—	26	1	no	—
1508	C₂²×C₄	—	26	1	no	—
1509	C₂²×C₄	—	26	1	no	—
1510	C₂²×C₄	—	26	1	no	—
1511	C₂²×C₄	—	104	2	no	—
1512	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1514	Q₁₆	—	4	1	no	—
1515	SD₁₆	—	2	2	no	—
1516	SD₁₆	—	4	1	no	—
1517	SD₁₆	—	4	1	no	—
1518	SD₁₆	—	4	1	no	—
1519	SD₁₆	—	52	1	no	—
1520	SD₁₆	—	52	1	no	—
1521	SD₁₆	—	52	1	no	—
1522	SD₁₆	—	52	1	no	—
1523	D₈	—	2	2	no	—
1524	D₈	—	2	2	no	—
1525	D₈	—	4	1	no	—
1526	D₈	—	4	1	no	—
1527	D₈	—	26	2	no	—
1528	D₈	—	26	2	no	—
1529	D₈	—	26	2	no	—
1530	D₈	—	52	1	no	—
1531	D₈	—	52	1	no	—
1532	D₈	—	52	1	no	—
1533	D₈	—	52	1	no	—
1534	D₈	—	52	1	no	—
1535	D₈	—	52	1	no	—
1536	D₈	—	52	1	no	—
1537	D₈	—	52	1	no	—
1538	M₁₆	—	52	1	no	—
1539	M₁₆	—	52	1	no	—
1540	C₂×C₈	—	4	1	no	—
1541	C₂×C₈	—	4	1	no	—
1542	C₂×C₈	—	13	1	no	—
1543	C₂×C₈	—	13	1	no	—
1544	C₂×C₈	—	13	1	no	—
1545	C₂×C₈	—	13	1	no	—
1546	C₂×C₈	—	52	1	no	—
1547	C₂×C₈	—	52	1	no	—
1548	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	13	1	no	—
1555	C₄⋊C₄	—	13	1	no	—
1556	C₄⋊C₄	—	13	1	no	—
1557	C₄⋊C₄	—	13	1	no	—
1558	C₄⋊C₄	—	13	1	no	—
1559	C₄⋊C₄	—	13	1	no	—
1560	C₄⋊C₄	—	13	1	no	—
1561	C₄⋊C₄	—	13	1	no	—
1562	C₄⋊C₄	—	13	1	no	—
1563	C₄⋊C₄	—	13	1	no	—
1564	C₄⋊C₄	—	13	1	no	—
1565	C₄⋊C₄	—	13	1	no	—
1566	C₄⋊C₄	—	13	1	no	—
1567	C₄⋊C₄	—	26	1	no	—
1568	C₄⋊C₄	—	26	1	no	—
1569	C₄⋊C₄	—	26	1	no	—
1570	C₄⋊C₄	—	26	1	no	—
1571	C₄⋊C₄	—	26	1	no	—
1572	C₄⋊C₄	—	26	1	no	—
1573	C₄⋊C₄	—	26	1	no	—
1574	C₄⋊C₄	—	26	1	no	—
1575	C₄⋊C₄	—	26	1	no	—
1576	C₄⋊C₄	—	26	1	no	—
1577	C₄⋊C₄	—	26	1	no	—
1578	C₄⋊C₄	—	26	1	no	—
1579	C₄⋊C₄	—	26	1	no	—
1580	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1581	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1582	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	13	1	no	—
1594	C₂²⋊C₄	—	13	1	no	—
1595	C₂²⋊C₄	—	13	1	no	—
1596	C₂²⋊C₄	—	13	1	no	—
1597	C₂²⋊C₄	—	13	1	no	—
1598	C₂²⋊C₄	—	13	1	no	—
1599	C₂²⋊C₄	—	13	1	no	—
1600	C₂²⋊C₄	—	13	1	no	—
1601	C₂²⋊C₄	—	26	1	no	—
1602	C₂²⋊C₄	—	26	1	no	—
1603	C₂²⋊C₄	—	26	1	no	—
1604	C₂²⋊C₄	—	26	1	no	—
1605	C₂²⋊C₄	—	26	1	no	—
1606	C₂²⋊C₄	—	26	1	no	—
1607	C₂²⋊C₄	—	26	1	no	—
1608	C₂²⋊C₄	—	26	1	no	—
1609	C₂²⋊C₄	—	26	1	no	—
1610	C₂²⋊C₄	—	26	1	no	—
1611	C₂²⋊C₄	—	26	1	no	—
1612	C₂²⋊C₄	—	26	1	no	—
1613	C₂²⋊C₄	—	26	1	no	—
1614	C₂²⋊C₄	—	26	1	no	—
1615	C₂²⋊C₄	—	26	1	no	—
1616	C₂²⋊C₄	—	26	1	no	—
1617	C₂²⋊C₄	—	26	1	no	—
1618	C₂²⋊C₄	—	26	1	no	—
1619	C₂²⋊C₄	—	26	1	no	—
1620	C₂²⋊C₄	—	26	1	no	—
1621	C₂²⋊C₄	—	26	1	no	—
1622	C₂²⋊C₄	—	26	1	no	—
1623	C₂²⋊C₄	—	26	1	no	—
1624	C₂²⋊C₄	—	26	1	no	—
1625	C₂²⋊C₄	—	26	1	no	—
1626	C₂²⋊C₄	—	26	1	no	—
1627	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1628	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1629	C₄²	—	13	1	no	—
1630	C₄²	—	13	1	no	—
1631	C₄²	—	13	1	no	—
1632	C₄²	—	13	1	no	—
1633	C₄²	—	13	1	no	—
1634	C₄²	—	26	1	no	—
1635	C₄²	—	26	1	no	—
1636	C₄²	—	26	1	no	—
1637	C₄²	—	26	1	no	—
1638	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1639	C₁₃	#62007	1	1	yes	characteristic, complemented, Sylow
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	4	2	no	—
1645	C₂³	—	4	2	no	—
1646	C₂³	—	4	2	no	—
1647	C₂³	—	8	1	no	—
1648	C₂³	—	8	1	no	—
1649	C₂³	—	8	1	no	—
1650	C₂³	—	13	1	no	—
1651	C₂³	—	26	1	no	—
1652	C₂³	—	26	1	no	—
1653	C₂³	—	26	1	no	—
1654	C₂³	—	26	1	no	—
1655	C₂³	—	52	2	no	—
1656	C₂³	—	52	2	no	—
1657	C₂³	—	104	1	no	—
1658	C₂³	—	104	1	no	—
1659	C₂³	—	104	1	no	—
1660	C₂³	—	104	1	no	—
1661	C₂³	—	104	1	no	—
1662	C₂³	—	104	1	no	—
1663	C₂³	—	104	1	no	—
1664	C₂³	—	104	1	no	—
1665	C₂³	—	104	1	no	—
1666	C₂³	—	104	1	no	—
1667	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1668	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	52	1	no	—
1674	Q₈	—	104	1	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	4	2	no	—
1684	D₄	—	4	2	no	—
1685	D₄	—	8	1	no	—
1686	D₄	—	8	1	no	—
1687	D₄	—	8	1	no	—
1688	D₄	—	8	1	no	—
1689	D₄	—	26	2	no	—
1690	D₄	—	26	1	no	—
1691	D₄	—	26	1	no	—
1692	D₄	—	26	1	no	—
1693	D₄	—	26	1	no	—
1694	D₄	—	26	1	no	—
1695	D₄	—	26	1	no	—
1696	D₄	—	26	1	no	—
1697	D₄	—	26	1	no	—
1698	D₄	—	52	1	no	—
1699	D₄	—	52	2	no	—
1700	D₄	—	52	2	no	—
1701	D₄	—	52	2	no	—
1702	D₄	—	52	2	no	—
1703	D₄	—	52	2	no	—
1704	D₄	—	104	1	no	—
1705	D₄	—	104	1	no	—
1706	D₄	—	104	1	no	—
1707	D₄	—	104	1	no	—
1708	D₄	—	104	1	no	—
1709	D₄	—	104	1	no	—
1710	D₄	—	104	1	no	—
1711	D₄	—	104	1	no	—
1712	D₄	—	104	1	no	—
1713	D₄	—	104	1	no	—
1714	D₄	—	104	1	no	—
1715	D₄	—	104	1	no	—
1716	D₄	—	104	1	no	—
1717	D₄	—	104	1	no	—
1718	D₄	—	104	1	no	—
1719	D₄	—	104	1	no	—
1720	D₄	—	104	1	no	—
1721	D₄	—	104	1	no	—
1722	D₄	—	104	1	no	—
1723	D₄	—	104	1	no	—
1724	D₄	—	104	1	no	—
1725	D₄	#88251	1	2	yes	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	4	2	no	—
1735	C₂×C₄	—	8	1	no	—
1736	C₂×C₄	—	8	1	no	—
1737	C₂×C₄	—	8	1	no	—
1738	C₂×C₄	—	13	1	no	—
1739	C₂×C₄	—	13	1	no	—
1740	C₂×C₄	—	13	1	no	—
1741	C₂×C₄	—	13	1	no	—
1742	C₂×C₄	—	13	1	no	—
1743	C₂×C₄	—	13	1	no	—
1744	C₂×C₄	—	13	1	no	—
1745	C₂×C₄	—	26	2	no	—
1746	C₂×C₄	—	26	1	no	—
1747	C₂×C₄	—	26	1	no	—
1748	C₂×C₄	—	26	1	no	—
1749	C₂×C₄	—	26	1	no	—
1750	C₂×C₄	—	26	1	no	—
1751	C₂×C₄	—	26	1	no	—
1752	C₂×C₄	—	52	2	no	—
1753	C₂×C₄	—	52	1	no	—
1754	C₂×C₄	—	52	2	no	—
1755	C₂×C₄	—	104	1	no	—
1756	C₂×C₄	—	104	1	no	—
1757	C₂×C₄	—	104	1	no	—
1758	C₂×C₄	—	104	1	no	—
1759	C₂×C₄	—	104	1	no	—
1760	C₂×C₄	—	104	1	no	—
1761	C₂×C₄	—	104	1	no	—
1762	C₂×C₄	—	104	1	no	—
1763	C₂×C₄	—	104	1	no	—
1764	C₂×C₄	—	104	1	no	—
1765	C₂×C₄	—	104	1	no	—
1766	C₂×C₄	—	104	1	no	—
1767	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1768	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1769	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1770	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1771	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1772	C₈	—	2	1	no	—
1773	C₈	—	2	1	no	—
1774	C₈	—	2	1	no	—
1775	C₈	—	2	1	no	—
1776	C₈	—	26	1	no	—
1777	C₈	—	26	1	no	—
1778	C₈	—	26	1	no	—
1779	C₈	—	26	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	2	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	4	1	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	8	4	no	—
1798	C₂²	—	16	2	no	—
1799	C₂²	—	26	1	no	—
1800	C₂²	—	26	1	no	—
1801	C₂²	—	26	1	no	—
1802	C₂²	—	52	1	no	—
1803	C₂²	—	52	1	no	—
1804	C₂²	—	52	1	no	—
1805	C₂²	—	52	1	no	—
1806	C₂²	—	52	1	no	—
1807	C₂²	—	52	1	no	—
1808	C₂²	—	52	1	no	—
1809	C₂²	—	52	1	no	—
1810	C₂²	—	52	1	no	—
1811	C₂²	—	52	1	no	—
1812	C₂²	—	52	1	no	—
1813	C₂²	—	52	1	no	—
1814	C₂²	—	208	2	no	—
1815	C₂²	—	208	2	no	—
1816	C₂²	—	208	2	no	—
1817	C₂²	—	208	2	no	—
1818	C₂²	#11719474	1	2	yes	—
1819	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	26	1	no	—
1829	C₄	—	26	1	no	—
1830	C₄	—	26	1	no	—
1831	C₄	—	26	1	no	—
1832	C₄	—	26	1	no	—
1833	C₄	—	26	1	no	—
1834	C₄	—	26	1	no	—
1835	C₄	—	52	1	no	—
1836	C₄	—	52	1	no	—
1837	C₄	—	52	1	no	—
1838	C₄	—	52	1	no	—
1839	C₄	C₂×#88251	1	1	yes	characteristic
1840	C₄	#11719650	1	1	yes	characteristic
1841	C₂	—	2	2	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	2	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	8	1	no	—
1846	C₂	—	8	1	no	—
1847	C₂	—	52	1	no	—
1848	C₂	—	104	1	no	—
1849	C₂	—	104	1	no	—
1850	C₂	—	104	1	no	—
1851	C₂	—	104	1	no	—
1852	C₂	#13128496	1	1	yes	characteristic
1853	C₂	C₂×#11719474	1	1	yes	characteristic
1854	C₂	#13129611	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3280	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3280	D₁₃
hypocenter	C₁₃	#62007
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3280

Complements

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

N	H ≅ G/N	type
1. #13129168	C₂	semidirect
2. #13128777	C₂	semidirect
3. #13127927	C₂	semidirect
4. #13127873	C₂	semidirect
5. #13127586	C₂	semidirect
6. #13127541	C₂	semidirect
7. #13126983	C₂	semidirect
8. #13126861	C₂	semidirect
9. #13126835	C₂	semidirect
10. #13126797	C₂	semidirect
11. #13126677	C₂	semidirect
12. #13126650	C₂	semidirect
13. D₈×C₂²⋊D₁₃	C₂	semidirect
14. #13126376	C₂	semidirect
15. #13126320	C₂	semidirect
16. #13126319	C₂	semidirect
17. #13126317	C₂	semidirect
18. #13126270	C₂	semidirect
19. #13126244	C₂	semidirect
20. #13126189	C₂	semidirect
21. #13125923	C₂	semidirect
22. #13125884	C₂	semidirect
23. #13125857	C₂	semidirect
24. #13125076	C₂	semidirect
25. #13125028	C₂	semidirect
26. #13124975	C₂	semidirect
27. #13124373	C₂	semidirect
28. #13124337	C₂	semidirect
29. C₂×#11718811	C₂	semidirect
30. #13123969	C₂	semidirect
31. C₁₃×#3280	C₂	semidirect
32. C₂×C₁₃×#135	C₂²	semidirect
33. C₂²×C₁₃×D₈	C₂²	semidirect
34. C₁₃×#546	C₂²	semidirect
35. C₁₃×#546	C₂²	semidirect
36. #11719539	C₂²	semidirect
37. #11719535	C₂²	semidirect
38. #11719534	C₂²	semidirect
39. #11719532	C₂²	semidirect
40. C₂×#88203	C₂²	semidirect
41. C₂×#88194	C₂²	semidirect
43. D₄×C₂²⋊D₁₃	C₂²	semidirect
44. C₂×D₄×Dic₁₃	C₂²	semidirect
45. C₂²×#6104	C₂²	semidirect
46. C₂×#88168	C₂²	semidirect
47. C₂×D₈×D₁₃	C₂²	semidirect
48. #11719387	C₂²	semidirect
49. #11719386	C₂²	semidirect
50. #11719386	C₂²	semidirect
51. #11719379	C₂²	semidirect
56. #11719347	C₂²	semidirect
58. #11719329	C₂²	semidirect
59. #11719329	C₂²	semidirect
61. #11719324	C₂²	semidirect
62. #11719324	C₂²	semidirect
64. #11719323	C₂²	semidirect
66. #11719314	C₂²	semidirect
72. #11719267	C₂²	semidirect
73. #11719260	C₂²	semidirect
74. #11719258	C₂²	semidirect
75. D₄×D₅₂	C₂²	semidirect
76. #11719250	C₂²	semidirect
77. #11719248	C₂²	semidirect
83. C₁₃×#495	C₂²	semidirect
84. C₁₃×#467	C₂²	semidirect
85. C₁₃×#466	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#450	C₂²	semidirect
89. C₁₃×#450	C₂²	semidirect
90. C₁₃×#449	C₂²	semidirect
91. C₁₃×#449	C₂²	semidirect
92. C₄×C₁₃×D₈	C₂²	semidirect
93. C₈×D₄×C₁₃	C₂²	semidirect
94. #11718899	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718893	C₂²	semidirect
98. #11718878	C₂²	semidirect
99. C₂×#88072	C₂²	semidirect
100. #11718848	C₂²	semidirect
101. #11718846	C₂²	semidirect
102. #11718846	C₂²	semidirect
103. #11718846	C₂²	semidirect
104. #11718837	C₂²	semidirect
105. #11718837	C₂²	semidirect
106. #11718837	C₂²	semidirect
107. #11718835	C₂²	semidirect
108. #11718833	C₂²	semidirect
109. #11718830	C₂²	semidirect
110. #11718826	C₂²	semidirect
111. #11718826	C₂²	semidirect
112. #11718826	C₂²	semidirect
113. #11718825	C₂²	semidirect
114. #11718825	C₂²	semidirect
115. #11718825	C₂²	semidirect
116. #11718824	C₂²	semidirect
117. #11718824	C₂²	semidirect
118. #11718824	C₂²	semidirect
119. #11718818	C₂²	semidirect
120. #11718817	C₂²	semidirect
121. #11718817	C₂²	semidirect
122. #11718812	C₂²	semidirect
124. #11718811	C₂²	semidirect
125. #11718811	C₂²	semidirect
126. #11718811	C₂²	semidirect
127. #11718811	C₂²	semidirect
128. #11718811	C₂²	semidirect
129. #11718811	C₂²	semidirect
130. #11718811	C₂²	semidirect
131. #11718811	C₂²	semidirect
132. #11718811	C₂²	semidirect
133. D₈×Dic₁₃	C₂²	semidirect
135. #11718776	C₂²	semidirect
136. C₂×#88061	C₂²	semidirect
137. C₂×#88061	C₂²	semidirect
138. #11718772	C₂²	semidirect
139. C₈×C₂²⋊D₁₃	C₂²	semidirect
140. #11718763	C₂²	semidirect
141. C₂×#88054	C₂²	semidirect
142. #11718719	C₂²	semidirect
143. #11718718	C₂²	semidirect
144. #11718718	C₂²	semidirect
145. #11718716	C₂²	semidirect
146. #11718709	C₂²	semidirect
147. #11718709	C₂²	semidirect
148. #11718707	C₂²	semidirect
149. #11718704	C₂²	semidirect
150. #11718700	C₂²	semidirect
151. #11718700	C₂²	semidirect
152. #11718697	C₂²	semidirect
153. #11718695	C₂²	semidirect
154. #11718676	C₂²	semidirect
155. #11718675	C₂²	semidirect
156. #11718675	C₂²	semidirect
157. #11718672	C₂²	semidirect
158. #11718669	C₂²	semidirect
159. #11718552	C₂²	semidirect
160. #11718552	C₂²	semidirect
161. #11718552	C₂²	semidirect
162. #11718546	C₂²	semidirect
163. #11718507	C₂²	semidirect
164. #11718504	C₂²	semidirect
165. #11718500	C₂²	semidirect
166. #11718489	C₂²	semidirect
167. #11718480	C₂²	semidirect
168. #11718480	C₂²	semidirect
169. #11718468	C₂²	semidirect
170. #11718465	C₂²	semidirect
171. #11718461	C₂²	semidirect
172. #11718457	C₂²	semidirect
173. #11718457	C₂²	semidirect
174. #11718449	C₂²	semidirect
175. #11718447	C₂²	semidirect
176. #11718447	C₂²	semidirect
177. #11718447	C₂²	semidirect
178. #11718446	C₂²	semidirect
179. #11718446	C₂²	semidirect
180. #11718446	C₂²	semidirect
181. #11718445	C₂²	semidirect
182. #11718443	C₂²	semidirect
183. #11718434	C₂²	semidirect
184. #11718431	C₂²	semidirect
185. #11718427	C₂²	semidirect
186. #11718427	C₂²	semidirect
187. #11718427	C₂²	semidirect
188. #11718425	C₂²	semidirect
189. #11718425	C₂²	semidirect
190. #11718425	C₂²	semidirect
191. #11718397	C₂²	semidirect
192. #11718397	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718393	C₂²	semidirect
195. #11718391	C₂²	semidirect
196. #11718389	C₂²	semidirect
197. #11718381	C₂²	semidirect
198. #11718380	C₂²	semidirect
199. #11718355	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. #11718340	C₂²	semidirect
725. #3280	D₁₃	semidirect
886. C₂×#135	C₂×D₁₃	semidirect
889. C₂²×D₈	C₂×D₁₃	semidirect
907. #546	C₂×D₁₃	semidirect
908. #546	C₂×D₁₃	semidirect
939. #495	C₂×D₁₃	semidirect
967. #467	C₂×D₁₃	semidirect
971. #466	C₂×D₁₃	semidirect
985. #463	C₂×D₁₃	semidirect
986. #463	C₂×D₁₃	semidirect
1008. #450	C₂×D₁₃	semidirect
1009. #450	C₂×D₁₃	semidirect
1013. #449	C₂×D₁₃	semidirect
1014. #449	C₂×D₁₃	semidirect
1036. C₄×D₈	C₂×D₁₃	semidirect
1042. C₈×D₄	C₂×D₁₃	semidirect
1639. C₁₃	#62007	semidirect

Maximal subgroups

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

subgroup	index
#13129168	2
#13128777	2
#13127927	2
#13127873	2
#13127586	2
#13127541	2
#13126983	2
#13126861	2
#13126835	2
#13126797	2
#13126677	2
#13126650	2
D₈×C₂²⋊D₁₃	2
#13126376	2
#13126320	2
#13126319	2
#13126317	2
#13126270	2
#13126244	2
#13126189	2
#13125923	2
#13125884	2
#13125857	2
#13125076	2
#13125028	2
#13124975	2
#13124373	2
#13124337	2
C₂×#11718811	2
#13123969	2
C₁₃×#3280	2
#62007	13