Subgroups — #16731921

Order 3328.

2098 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128725	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#88256	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125114	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125111	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125099	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125096	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125024	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125023	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125018	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125015	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124976	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124973	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124952	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124888	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124879	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124854	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124853	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124802	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124791	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124631	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124623	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124327	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124110	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124101	C₂	1	1	yes	maximal, characteristic
26	#13123692	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123685	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123678	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123667	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123503	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88256	C₂²	1	1	yes	characteristic
33	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
34	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
35	#11719532	C₂²	1	1	yes	characteristic, complemented
36	C₂×#88172	C₂²	1	1	yes	characteristic
37	C₂×#88168	C₂²	1	1	yes	characteristic
38	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
39	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
40	#11719410	—	2	1	no	—
41	#11719407	—	2	1	no	—
42	#11719396	C₂²	1	1	yes	characteristic, complemented
43	#11719393	C₂²	1	1	yes	characteristic, complemented
44	#11719385	C₂²	1	1	yes	characteristic, complemented
45	D₁₃×#124	C₂²	1	1	yes	characteristic, complemented
46	#11719369	—	2	1	no	—
47	#11719364	—	2	1	no	—
48	#11719348	C₂²	1	1	yes	characteristic, complemented
49	#11719333	C₂²	1	1	yes	characteristic
50	#11719312	C₂²	1	1	yes	characteristic
51	#11719308	C₂²	1	1	yes	characteristic, complemented
52	#11719287	C₂²	1	1	yes	characteristic, complemented
53	#11719279	C₂²	1	1	yes	characteristic
54	#11719279	C₂²	1	1	yes	characteristic, complemented
55	C₄×#6131	C₂²	1	1	yes	characteristic
56	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
57	#11719277	C₂²	1	1	yes	characteristic, complemented
58	#11719266	C₂²	1	1	yes	characteristic, complemented
59	#11719264	—	2	1	no	—
60	#11719261	—	2	1	no	—
61	#11719250	—	2	1	no	—
62	#11719250	—	2	1	no	—
63	#11719250	C₂²	1	1	yes	characteristic
64	#11719250	C₂²	1	1	yes	characteristic, complemented
65	#11719250	C₂²	1	1	yes	characteristic, complemented
66	C₄×D₄×D₁₃	—	2	1	no	—
67	C₄×D₄×D₁₃	—	2	1	no	—
68	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
70	#11719238	—	2	1	no	—
71	#11719232	—	2	1	no	—
72	#11719228	—	2	1	no	—
73	#11719228	C₂²	1	1	yes	characteristic
74	#11719226	—	2	1	no	—
75	#11719226	C₂²	1	1	yes	characteristic, complemented
76	#11719184	C₂²	1	1	yes	characteristic, complemented
77	C₄×#6127	—	2	1	no	—
78	C₄×#6127	C₂²	1	1	yes	characteristic
79	C₂×C₄×D₅₂	—	2	1	no	—
80	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#449	C₂²	1	1	yes	characteristic
89	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
94	#11718900	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic
96	#11718848	C₂²	1	1	yes	characteristic, complemented
97	#11718846	C₂²	1	1	yes	characteristic, complemented
98	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
99	#11718833	C₂²	1	1	yes	characteristic
100	#11718830	C₂²	1	1	yes	characteristic, complemented
101	#11718827	C₂²	1	1	yes	characteristic, complemented
102	#11718826	C₂²	1	1	yes	characteristic, complemented
103	#11718825	C₂²	1	1	yes	characteristic, complemented
104	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic
106	#11718814	C₂²	1	1	yes	characteristic, complemented
107	#11718813	C₂²	1	1	yes	characteristic, complemented
108	#11718727	C₂²	1	1	yes	characteristic, complemented
109	#11718727	C₂²	1	1	yes	characteristic, complemented
110	#11718718	C₂²	1	1	yes	characteristic, complemented
111	#11718718	C₂²	1	1	yes	characteristic, complemented
112	#11718707	C₂²	1	1	yes	characteristic, complemented
113	#11718705	C₂²	1	1	yes	characteristic, complemented
114	#11718697	C₂²	1	1	yes	characteristic
115	#11718695	C₂²	1	1	yes	characteristic, complemented
116	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
117	#11718689	C₂²	1	1	yes	characteristic, complemented
118	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
119	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
120	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
121	#11718683	C₂²	1	1	yes	characteristic, complemented
122	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
123	#11718677	C₂²	1	1	yes	characteristic, complemented
124	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
126	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
127	#11718670	C₂²	1	1	yes	characteristic, complemented
128	#11718664	C₂²	1	1	yes	characteristic, complemented
129	#11718657	C₂²	1	1	yes	characteristic, complemented
130	#11718586	C₂²	1	1	yes	characteristic, complemented
131	#11718551	C₂²	1	1	yes	characteristic, complemented
132	#11718551	C₂²	1	1	yes	characteristic, complemented
133	#11718550	C₂²	1	1	yes	characteristic, complemented
134	#11718546	C₂²	1	1	yes	characteristic, complemented
135	#11718545	C₂²	1	1	yes	characteristic, complemented
136	#11718542	C₂²	1	1	yes	characteristic, complemented
137	#11718541	C₂²	1	1	yes	characteristic, complemented
138	#11718533	C₂²	1	1	yes	characteristic, complemented
139	#11718531	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718530	C₂²	1	1	yes	characteristic, complemented
142	#11718528	C₂²	1	1	yes	characteristic, complemented
143	#11718524	C₂²	1	1	yes	characteristic, complemented
144	#11718522	C₂²	1	1	yes	characteristic, complemented
145	#11718521	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718508	C₂²	1	1	yes	characteristic, complemented
149	#11718505	C₂²	1	1	yes	characteristic, complemented
150	#11718505	C₂²	1	1	yes	characteristic, complemented
151	#11718498	C₂²	1	1	yes	characteristic, complemented
152	#11718496	C₂²	1	1	yes	characteristic, complemented
153	#11718494	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic, complemented
156	#11718480	C₂²	1	1	yes	characteristic, complemented
157	#11718478	C₂²	1	1	yes	characteristic, complemented
158	#11718478	C₂²	1	1	yes	characteristic, complemented
159	#11718476	C₂²	1	1	yes	characteristic, complemented
160	#11718472	C₂²	1	1	yes	characteristic
161	#11718471	C₂²	1	1	yes	characteristic, complemented
162	#11718466	C₂²	1	1	yes	characteristic, complemented
163	#11718465	C₂²	1	1	yes	characteristic
164	#11718465	C₂²	1	1	yes	characteristic
165	#11718463	C₂²	1	1	yes	characteristic, complemented
166	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
167	#11718455	C₂²	1	1	yes	characteristic, complemented
168	#11718452	C₂²	1	1	yes	characteristic, complemented
169	#11718450	C₂²	1	1	yes	characteristic, complemented
170	#11718449	C₂²	1	1	yes	characteristic, complemented
171	#11718448	C₂²	1	1	yes	characteristic, complemented
172	#11718448	C₂²	1	1	yes	characteristic, complemented
173	#11718446	C₂²	1	1	yes	characteristic, complemented
174	#11718445	C₂²	1	1	yes	characteristic, complemented
175	#11718437	C₂²	1	1	yes	characteristic, complemented
176	#11718435	C₂²	1	1	yes	characteristic, complemented
177	#11718434	C₂²	1	1	yes	characteristic
178	#11718431	C₂²	1	1	yes	characteristic
179	#11718431	C₂²	1	1	yes	characteristic
180	#11718431	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
182	#11718422	C₂²	1	1	yes	characteristic, complemented
183	#11718420	C₂²	1	1	yes	characteristic, complemented
184	#11718419	C₂²	1	1	yes	characteristic, complemented
185	#11718417	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718397	C₂²	1	1	yes	characteristic, complemented
188	#11718393	C₂²	1	1	yes	characteristic
189	#11718392	C₂²	1	1	yes	characteristic, complemented
190	#11718388	C₂²	1	1	yes	characteristic
191	#11718388	C₂²	1	1	yes	characteristic
192	#11718382	C₂²	1	1	yes	characteristic, complemented
193	#11718381	C₂²	1	1	yes	characteristic, complemented
194	#11718381	C₂²	1	1	yes	characteristic, complemented
195	#11718372	C₂²	1	1	yes	characteristic, complemented
196	#11718372	C₂²	1	1	yes	characteristic, complemented
197	#11718371	C₂²	1	1	yes	characteristic, complemented
198	#11718371	C₂²	1	1	yes	characteristic, complemented
199	#11718370	C₂²	1	1	yes	characteristic, complemented
200	#11718370	C₂²	1	1	yes	characteristic, complemented
201	#11718369	C₂²	1	1	yes	characteristic, complemented
202	#11718369	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	#88256	—	2	4	no	—
205	#88256	—	2	4	no	—
206	C₂×#6131	C₂³	1	1	yes	characteristic
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₁₃	—	2	1	no	—
210	C₂×D₄×D₁₃	—	2	1	no	—
211	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6127	—	2	1	no	—
215	C₂×#6127	C₂³	1	1	yes	characteristic
216	C₂²×D₅₂	—	2	1	no	—
217	C₂²×D₅₂	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₁₃	—	2	1	no	—
219	C₂²×C₄×D₁₃	—	2	1	no	—
220	C₂²×C₄×D₁₃	—	2	1	no	—
221	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₁₃×#126	—	2	1	no	—
226	C₁₃×#125	C₂³	1	1	yes	characteristic
227	C₁₃×#124	C₂³	1	1	yes	characteristic
228	C₁₃×#123	—	2	1	no	—
229	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₁₃×#121	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₁₃×#117	—	2	1	no	—
241	C₁₃×#117	—	2	1	no	—
242	C₁₃×#117	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₁₃	—	2	1	no	—
244	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
245	#88201	C₂³	1	1	yes	characteristic
246	#88200	C₂³	1	1	yes	characteristic
247	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
248	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
249	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
250	C₂×#6107	C₂³	1	1	yes	characteristic
251	C₂×#6106	C₂³	1	1	yes	characteristic
252	C₂×#6106	C₂³	1	1	yes	characteristic
253	C₂×#6106	C₂³	1	1	yes	characteristic
254	#88194	—	2	1	no	—
255	#88192	C₂³	1	1	yes	characteristic
256	#88191	—	2	1	no	—
257	#88190	—	2	1	no	—
258	#88190	C₂³	1	1	yes	characteristic
259	#88189	—	2	1	no	—
260	D₄×Dic₁₃	—	2	1	no	—
261	D₄×Dic₁₃	—	2	1	no	—
262	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
263	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	C₂×#6105	C₂³	1	1	yes	characteristic
266	C₂×#6104	C₂³	1	1	yes	characteristic
267	C₂×#6104	C₂³	1	1	yes	characteristic
268	C₂×#6104	C₂³	1	1	yes	characteristic
269	#88184	C₂³	1	1	yes	characteristic
270	#88183	—	2	1	no	—
271	#88183	—	2	1	no	—
272	C₄×C₂²⋊D₁₃	—	2	1	no	—
273	C₄×C₂²⋊D₁₃	—	2	1	no	—
274	C₄×C₂²⋊D₁₃	—	2	1	no	—
275	C₄×C₂²⋊D₁₃	—	2	1	no	—
276	C₄×C₂²⋊D₁₃	—	2	1	no	—
277	C₄×C₂²⋊D₁₃	—	2	1	no	—
278	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
279	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
280	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
281	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
282	C₂×#6103	—	2	1	no	—
283	C₂×#6103	—	2	1	no	—
284	C₂×#6103	—	2	1	no	—
285	C₂×#6103	—	2	1	no	—
286	#88180	—	2	1	no	—
287	#88180	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₁₃	—	2	1	no	—
289	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
290	#88178	—	2	1	no	—
291	#88178	C₂³	1	1	yes	characteristic
292	#88172	—	2	4	no	—
293	#88168	—	2	4	no	—
294	SD₁₆×D₁₃	—	2	4	no	—
295	D₈×D₁₃	—	2	4	no	—
296	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
297	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
298	C₂×#6095	C₂³	1	1	yes	characteristic
299	C₂×#6095	C₂³	1	1	yes	characteristic
300	C₂×#6094	C₂³	1	1	yes	characteristic
301	C₂×#6094	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
304	#88152	—	2	1	no	—
305	#88152	—	2	1	no	—
306	#88151	—	2	1	no	—
307	#88151	C₂³	1	1	yes	characteristic
308	#88150	—	2	1	no	—
309	#88150	—	2	1	no	—
310	#88150	—	2	1	no	—
311	#88149	C₂³	1	1	yes	characteristic
312	#88148	—	2	1	no	—
313	#88148	—	2	1	no	—
314	#88148	—	2	1	no	—
315	#88147	—	2	1	no	—
316	#88147	—	2	1	no	—
317	#88147	—	2	1	no	—
318	#88147	—	2	1	no	—
319	#88147	—	2	1	no	—
320	#88147	C₂³	1	1	yes	characteristic
321	#88147	C₂³	1	1	yes	characteristic
322	#88147	C₂³	1	1	yes	characteristic
323	#88147	C₂³	1	1	yes	characteristic
324	#88147	C₂³	1	1	yes	characteristic
325	#88146	—	2	1	no	—
326	#88146	—	2	1	no	—
327	#88146	—	2	1	no	—
328	#88146	—	2	1	no	—
329	#88146	C₂³	1	1	yes	characteristic
330	#88146	C₂³	1	1	yes	characteristic
331	#88146	C₂³	1	1	yes	characteristic
332	#88146	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	—	2	1	no	—
334	C₄⋊C₄×D₁₃	—	2	1	no	—
335	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
337	#88142	—	2	1	no	—
338	#88142	C₂³	1	1	yes	characteristic
339	#88142	C₂³	1	1	yes	characteristic
340	#88141	—	2	1	no	—
341	#88141	—	2	1	no	—
342	#88141	—	2	1	no	—
343	#88141	C₂³	1	1	yes	characteristic
344	#88139	—	2	1	no	—
345	#88139	—	2	1	no	—
346	#88139	—	2	1	no	—
347	#88139	—	2	1	no	—
348	#88139	—	2	1	no	—
349	#88139	—	2	1	no	—
350	#88137	—	2	1	no	—
351	#88137	—	2	1	no	—
352	#88137	—	2	1	no	—
353	#88136	—	2	1	no	—
354	#88135	—	2	1	no	—
355	#88135	—	2	1	no	—
356	#88135	—	2	1	no	—
357	#88135	—	2	1	no	—
358	#88135	—	2	1	no	—
359	#88135	—	2	1	no	—
360	#88135	—	2	1	no	—
361	#88135	—	2	1	no	—
362	C₂²⋊C₄×D₁₃	—	2	1	no	—
363	C₂²⋊C₄×D₁₃	—	2	1	no	—
364	C₂²⋊C₄×D₁₃	—	2	1	no	—
365	C₂²⋊C₄×D₁₃	—	2	1	no	—
366	C₂²⋊C₄×D₁₃	—	2	1	no	—
367	C₂²⋊C₄×D₁₃	—	2	1	no	—
368	C₂²⋊C₄×D₁₃	—	2	1	no	—
369	C₂²⋊C₄×D₁₃	—	2	1	no	—
370	C₂²⋊C₄×D₁₃	—	2	1	no	—
371	#88133	—	2	1	no	—
372	#88133	—	2	1	no	—
373	#88133	—	2	1	no	—
374	#88132	—	2	1	no	—
375	#88131	—	2	1	no	—
376	#88130	—	2	1	no	—
377	#88130	—	2	1	no	—
378	#88129	—	2	1	no	—
379	#88129	C₂³	1	1	yes	characteristic
380	C₄×D₅₂	—	2	1	no	—
381	C₄×D₅₂	—	2	1	no	—
382	C₄×D₅₂	—	2	1	no	—
383	C₄×D₅₂	—	2	1	no	—
384	C₄×D₅₂	—	2	1	no	—
385	C₄×D₅₂	—	2	1	no	—
386	C₄×D₅₂	—	2	1	no	—
387	C₄×D₅₂	—	2	1	no	—
388	C₄×D₅₂	—	2	1	no	—
389	C₄×D₅₂	D₄	1	1	yes	characteristic
390	C₄×D₅₂	D₄	1	1	yes	characteristic
391	C₄×D₅₂	C₂³	1	1	yes	characteristic
392	C₄×D₅₂	C₂³	1	1	yes	characteristic
393	C₄×D₅₂	C₂³	1	1	yes	characteristic
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	#88126	—	2	1	no	—
397	#88126	—	2	1	no	—
398	#88126	—	2	1	no	—
399	#88126	—	2	1	no	—
400	#88126	C₂³	1	1	yes	characteristic
401	#88126	C₂³	1	1	yes	characteristic
402	C₄²×D₁₃	—	2	1	no	—
403	C₄²×D₁₃	—	2	1	no	—
404	C₄²×D₁₃	C₂³	1	1	yes	characteristic
405	C₄²×D₁₃	C₂³	1	1	yes	characteristic
406	#88124	C₂³	1	1	yes	characteristic
407	C₄×Dic₂₆	—	2	1	no	—
408	C₄×Dic₂₆	—	2	1	no	—
409	C₄×Dic₂₆	D₄	1	1	yes	characteristic
410	C₄×Dic₂₆	D₄	1	1	yes	characteristic
411	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
420	C₁₃×#103	C₂³	1	1	yes	characteristic
421	C₁₃×#103	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×#102	C₂³	1	1	yes	characteristic
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×#97	C₂³	1	1	yes	characteristic
429	C₁₃×#97	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	C₂²⋊#1055	C₂³	1	1	yes	characteristic
439	C₂²⋊#1055	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic
445	#88061	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88060	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88058	C₂³	1	1	yes	characteristic
451	#88058	C₂³	1	1	yes	characteristic
452	#88057	C₂³	1	1	yes	characteristic
453	#88057	C₂³	1	1	yes	characteristic
454	#88056	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88055	C₂³	1	1	yes	characteristic
457	#88055	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	#88054	C₂³	1	1	yes	characteristic
460	#88054	C₂³	1	1	yes	characteristic
461	#88054	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88050	C₂³	1	1	yes	characteristic
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88048	C₂³	1	1	yes	characteristic
473	#88048	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	C₄⋊#1055	C₂³	1	1	yes	characteristic
482	C₄×#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#60592	—	13	1	no	maximal, Sylow
485	C₂³×D₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	—	2	1	no	—
489	C₁₃×#41	—	2	2	no	—
490	C₁₃×#41	—	2	2	no	—
491	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
492	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂×D₄×C₁₃	—	2	1	no	—
494	C₂×D₄×C₁₃	—	2	1	no	—
495	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₁₃	—	2	1	no	—
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×C₂²⋊D₁₃	—	2	1	no	—
505	C₂×C₂²⋊D₁₃	—	2	1	no	—
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
510	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂²×Dic₁₃	—	2	1	no	—
512	C₂²×Dic₁₃	—	2	1	no	—
513	C₂²×Dic₁₃	—	2	1	no	—
514	C₂²×Dic₁₃	—	2	1	no	—
515	#6131	—	2	2	no	—
516	#6131	—	2	2	no	—
517	#6131	—	2	2	no	—
518	#6131	#41	1	4	yes	—
519	Q₈×D₁₃	—	2	2	no	—
520	Q₈×D₁₃	—	2	2	no	—
521	D₄×D₁₃	—	2	8	no	—
522	D₄×D₁₃	—	2	8	no	—
523	D₄×D₁₃	—	2	2	no	—
524	D₄×D₁₃	—	2	2	no	—
525	D₄×D₁₃	—	2	2	no	—
526	D₄×D₁₃	—	2	2	no	—
527	D₄×D₁₃	—	2	2	no	—
528	D₄×D₁₃	#41	1	4	yes	—
529	#6127	—	2	8	no	—
530	#6127	—	2	2	no	—
531	#6127	—	2	2	no	—
532	C₂×D₅₂	—	2	8	no	—
533	C₂×D₅₂	—	2	1	no	—
534	C₂×D₅₂	—	2	1	no	—
535	C₂×D₅₂	—	2	1	no	—
536	C₂×D₅₂	—	2	2	no	—
537	C₂×D₅₂	—	2	2	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
540	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
541	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
542	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
543	C₂×C₄×D₁₃	—	2	1	no	—
544	C₂×C₄×D₁₃	—	2	1	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×C₄×D₁₃	—	2	1	no	—
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	8	2	no	—
559	C₂×C₄×D₁₃	—	8	2	no	—
560	C₂×C₄×D₁₃	—	8	2	no	—
561	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
566	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₂₆	—	2	1	no	—
568	C₂×Dic₂₆	—	2	1	no	—
569	C₂×Dic₂₆	—	2	1	no	—
570	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
571	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
572	C₁₃×Q₁₆	—	2	2	no	—
573	C₁₃×SD₁₆	—	2	2	no	—
574	C₁₃×SD₁₆	—	2	2	no	—
575	C₁₃×D₈	—	2	2	no	—
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₄²×C₁₃	—	2	1	no	—
599	C₄²×C₁₃	—	2	1	no	—
600	C₄²×C₁₃	—	2	1	no	—
601	C₄²×C₁₃	—	2	1	no	—
602	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
603	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
604	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	—	2	1	no	—
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	—	2	1	no	—
613	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
615	#6107	—	2	2	no	—
616	#6106	—	2	2	no	—
617	#6106	—	2	2	no	—
618	#6106	—	2	2	no	—
619	#6105	—	2	2	no	—
620	#6104	—	2	2	no	—
621	#6104	—	2	2	no	—
622	#6104	—	2	2	no	—
623	#6103	—	2	1	no	—
624	#6103	—	2	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	C₂×D₄	1	1	yes	characteristic
646	#6103	C₂×D₄	1	1	yes	characteristic
647	#6103	C₂×D₄	1	1	yes	characteristic
648	#6103	C₂×D₄	1	1	yes	characteristic
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	—	2	1	no	—
651	C₄⋊Dic₁₃	—	2	1	no	—
652	C₄⋊Dic₁₃	—	2	1	no	—
653	C₄⋊Dic₁₃	—	2	1	no	—
654	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	C₂×D₄	1	1	yes	characteristic
671	#6101	C₂×D₄	1	1	yes	characteristic
672	#6101	C₂×D₄	1	1	yes	characteristic
673	#6101	C₂×D₄	1	1	yes	characteristic
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	—	2	1	no	—
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	C₂×#1055	C₂⁴	1	1	yes	characteristic
691	C₂×#1055	C₂⁴	1	1	yes	characteristic
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	D₁₀₄	—	2	2	no	—
694	D₁₀₄	—	2	2	no	—
695	#6095	—	2	2	no	—
696	#6095	—	2	2	no	—
697	#6094	—	2	2	no	—
698	#6094	—	2	2	no	—
699	C₈×D₁₃	—	2	2	no	—
700	C₈×D₁₃	—	2	2	no	—
701	#3510	—	13	1	no	—
702	C₄×H(5,𝔽₂)	—	13	1	no	—
703	#3125	—	13	1	no	—
704	#3125	—	13	1	no	—
705	#3124	—	13	1	no	—
706	#3124	—	13	1	no	—
707	#3118	—	13	1	no	—
708	#3118	—	13	1	no	—
709	#3118	—	13	1	no	—
710	#3118	—	13	1	no	—
711	#3114	—	13	1	no	—
712	#3114	—	13	1	no	—
713	#3111	—	13	1	no	—
714	#3111	D₁₃	1	1	yes	characteristic, complemented
715	#3105	—	13	1	no	—
716	#3105	—	13	1	no	—
717	#3102	—	13	1	no	—
718	#3102	—	13	1	no	—
719	#3097	—	13	1	no	—
720	#3096	—	13	1	no	—
721	#3077	—	13	1	no	—
722	#3076	—	13	1	no	—
723	#3040	—	13	1	no	—
724	C₂×#463	—	13	1	no	—
725	#3009	—	13	1	no	—
726	#3008	—	13	1	no	—
727	#2949	—	13	1	no	—
728	#2948	—	13	1	no	—
729	#2947	—	13	1	no	—
730	#2946	—	13	1	no	—
731	#2925	—	13	1	no	—
732	C₂³×C₁₃	—	2	1	no	—
733	C₂³×C₁₃	—	2	1	no	—
734	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
735	C₂²×D₁₃	—	2	1	no	—
736	C₂²×D₁₃	—	2	1	no	—
737	C₂²×D₁₃	—	2	4	no	—
738	C₂²×D₁₃	—	2	4	no	—
739	C₂²×D₁₃	—	2	4	no	—
740	C₂²×D₁₃	—	2	1	no	—
741	C₂²×D₁₃	—	4	2	no	—
742	C₂²×D₁₃	—	8	1	no	—
743	C₂²×D₁₃	—	8	1	no	—
744	C₂²×D₁₃	—	8	1	no	—
745	C₂²×D₁₃	—	8	1	no	—
746	C₂²×D₁₃	—	8	1	no	—
747	C₂²×D₁₃	—	8	1	no	—
748	C₂²×D₁₃	—	8	1	no	—
749	C₂²×D₁₃	—	8	1	no	—
750	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
751	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	2	1	no	—
754	Q₈×C₁₃	—	2	1	no	—
755	Q₈×C₁₃	C₂×#41	1	2	yes	—
756	D₄×C₁₃	—	2	4	no	—
757	D₄×C₁₃	—	2	1	no	—
758	D₄×C₁₃	—	2	1	no	—
759	D₄×C₁₃	—	2	1	no	—
760	D₄×C₁₃	—	8	1	no	—
761	D₄×C₁₃	C₂×#41	1	2	yes	—
762	C₂×C₄×C₁₃	—	2	4	no	—
763	C₂×C₄×C₁₃	—	2	1	no	—
764	C₂×C₄×C₁₃	—	2	1	no	—
765	C₂×C₄×C₁₃	—	2	1	no	—
766	C₂×C₄×C₁₃	—	2	1	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	4	1	no	—
772	C₂×C₄×C₁₃	—	4	1	no	—
773	C₂×C₄×C₁₃	—	4	2	no	—
774	C₂×C₄×C₁₃	—	8	1	no	—
775	C₂×C₄×C₁₃	—	8	1	no	—
776	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
777	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
782	C₂²⋊D₁₃	—	2	4	no	—
783	C₂²⋊D₁₃	—	2	2	no	—
784	C₂²⋊D₁₃	—	2	2	no	—
785	C₂²⋊D₁₃	—	2	4	no	—
786	C₂²⋊D₁₃	—	4	2	no	—
787	C₂²⋊D₁₃	—	8	1	no	—
788	C₂²⋊D₁₃	—	8	1	no	—
789	C₂×Dic₁₃	—	2	1	no	—
790	C₂×Dic₁₃	—	2	1	no	—
791	C₂×Dic₁₃	—	2	1	no	—
792	C₂×Dic₁₃	—	2	1	no	—
793	C₂×Dic₁₃	—	2	1	no	—
794	C₂×Dic₁₃	—	8	1	no	—
795	C₂×Dic₁₃	—	8	1	no	—
796	C₂×Dic₁₃	—	8	1	no	—
797	C₂×Dic₁₃	—	8	1	no	—
798	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
799	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
804	D₅₂	—	2	4	no	—
805	D₅₂	—	2	4	no	—
806	D₅₂	—	2	2	no	—
807	D₅₂	—	2	4	no	—
808	D₅₂	—	2	1	no	—
809	D₅₂	—	2	1	no	—
810	D₅₂	—	2	1	no	—
811	D₅₂	—	2	1	no	—
812	D₅₂	—	8	1	no	—
813	D₅₂	C₂×#41	1	2	yes	—
814	D₅₂	C₂×#41	1	2	yes	—
815	C₄×D₁₃	—	2	4	no	—
816	C₄×D₁₃	—	2	1	no	—
817	C₄×D₁₃	—	2	1	no	—
818	C₄×D₁₃	—	2	4	no	—
819	C₄×D₁₃	—	4	1	no	—
820	C₄×D₁₃	—	4	1	no	—
821	C₄×D₁₃	—	4	1	no	—
822	C₄×D₁₃	—	4	1	no	—
823	C₄×D₁₃	—	4	2	no	—
824	C₄×D₁₃	—	4	2	no	—
825	C₄×D₁₃	—	4	2	no	—
826	C₄×D₁₃	—	8	1	no	—
827	C₄×D₁₃	—	8	1	no	—
828	C₄×D₁₃	—	8	1	no	—
829	C₄×D₁₃	—	8	1	no	—
830	C₄×D₁₃	—	8	1	no	—
831	C₄×D₁₃	—	8	1	no	—
832	C₄×D₁₃	—	8	1	no	—
833	C₄×D₁₃	—	8	1	no	—
834	C₄×D₁₃	—	8	1	no	—
835	C₄×D₁₃	—	8	1	no	—
836	C₄×D₁₃	C₂×#41	1	2	yes	—
837	C₄×D₁₃	C₂×#41	1	2	yes	—
838	Dic₂₆	—	2	2	no	—
839	Dic₂₆	—	2	1	no	—
840	Dic₂₆	—	2	1	no	—
841	Dic₂₆	—	4	2	no	—
842	Dic₂₆	—	8	1	no	—
843	Dic₂₆	—	8	1	no	—
844	C₈×C₁₃	—	2	1	no	—
845	C₈×C₁₃	—	2	1	no	—
846	C₈×C₁₃	—	2	1	no	—
847	C₈×C₁₃	—	2	1	no	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	#1055	—	2	1	no	—
851	#1055	—	2	1	no	—
852	C₂×H(5,𝔽₂)	—	13	1	no	—
853	C₂×#137	—	13	1	no	—
854	C₂×AGL(1,ℤ/8)	—	13	1	no	—
855	C₂²×SD₁₆	—	13	1	no	—
856	C₂²×D₈	—	13	1	no	—
857	#559	—	26	1	no	—
858	#559	—	26	1	no	—
859	#556	—	26	1	no	—
860	#556	—	26	1	no	—
861	#551	—	26	1	no	—
862	#551	—	26	1	no	—
863	#551	—	26	1	no	—
864	#551	—	26	1	no	—
865	#542	—	13	1	no	—
866	#542	—	13	1	no	—
867	#542	—	13	1	no	—
868	#542	—	13	1	no	—
869	#536	—	13	1	no	—
870	#535	—	13	1	no	—
871	#533	—	13	1	no	—
872	#529	—	13	1	no	—
873	#529	—	13	1	no	—
874	#529	—	13	1	no	—
875	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
876	C₂×#124	—	13	1	no	—
877	#520	—	13	1	no	—
878	#520	—	13	1	no	—
879	#520	—	13	1	no	—
880	#520	—	13	1	no	—
881	#520	—	26	1	no	—
882	#519	—	13	1	no	—
883	#518	—	13	1	no	—
884	#518	—	13	1	no	—
885	#518	—	13	1	no	—
886	#518	—	13	1	no	—
887	#518	—	26	1	no	—
888	#518	—	26	1	no	—
889	#518	—	26	1	no	—
890	C₄×#41	—	13	1	no	—
891	C₄×#41	—	13	1	no	—
892	C₄×#41	—	13	1	no	—
893	C₄×#41	—	26	1	no	—
894	C₄×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
895	C₂×C₄×D₄	—	13	1	no	—
896	C₂×C₄×D₄	—	13	1	no	—
897	C₂×C₄×D₄	—	13	1	no	—
898	C₂×C₄×D₄	—	26	1	no	—
899	C₂×C₄×D₄	—	26	1	no	—
900	C₂×C₄×D₄	—	26	1	no	—
901	#485	—	13	1	no	—
902	#485	—	13	1	no	—
903	#485	—	13	1	no	—
904	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
905	#484	—	13	1	no	—
906	#484	—	13	1	no	—
907	#483	—	13	1	no	—
908	#483	—	13	1	no	—
909	#482	—	13	1	no	—
910	#482	—	13	1	no	—
911	#482	—	13	1	no	—
912	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
913	#481	—	13	1	no	—
914	#481	—	13	1	no	—
915	#480	—	13	1	no	—
916	#480	—	13	1	no	—
917	#479	—	13	1	no	—
918	#479	C₂×D₁₃	1	1	yes	characteristic, complemented
919	#478	—	13	1	no	—
920	#478	—	13	1	no	—
921	#478	—	13	1	no	—
922	#478	—	13	1	no	—
923	#478	—	13	1	no	—
924	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
925	#477	—	13	1	no	—
926	#476	—	13	1	no	—
927	#476	—	13	1	no	—
928	#476	—	13	1	no	—
929	#475	—	13	1	no	—
930	#474	—	13	1	no	—
931	#474	—	13	1	no	—
932	#474	—	13	1	no	—
933	#464	—	13	1	no	—
934	#464	—	13	1	no	—
935	#464	—	13	1	no	—
936	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
937	#463	—	13	1	no	—
938	#463	—	13	1	no	—
939	#463	—	13	1	no	—
940	#463	—	13	1	no	—
941	#463	—	13	1	no	—
942	#463	—	13	1	no	—
943	#463	—	13	1	no	—
944	#463	—	13	1	no	—
945	#463	—	13	1	no	—
946	#463	—	13	1	no	—
947	#463	—	13	1	no	—
948	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#452	—	13	1	no	—
950	#452	—	13	1	no	—
951	#452	—	13	1	no	—
952	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#450	—	13	1	no	—
954	#450	—	13	1	no	—
955	#450	—	13	1	no	—
956	#450	—	13	1	no	—
957	#449	—	13	1	no	—
958	#449	—	13	1	no	—
959	#449	—	13	1	no	—
960	#449	C₂×D₁₃	1	1	yes	characteristic
961	#447	—	13	1	no	—
962	#447	—	13	1	no	—
963	#447	—	13	1	no	—
964	#447	—	13	1	no	—
965	#442	—	13	1	no	—
966	#442	—	13	1	no	—
967	#442	—	13	1	no	—
968	#442	—	13	1	no	—
969	#442	—	13	1	no	—
970	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
971	#441	—	13	1	no	—
972	#441	C₂×D₁₃	1	1	yes	characteristic, complemented
973	#440	—	13	1	no	—
974	#440	—	13	1	no	—
975	#440	—	13	1	no	—
976	#440	—	13	1	no	—
977	#440	—	13	1	no	—
978	#440	—	13	1	no	—
979	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
980	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
981	C₄×Q₁₆	—	13	1	no	—
982	C₄×Q₁₆	—	13	1	no	—
983	C₄×SD₁₆	—	13	1	no	—
984	C₄×SD₁₆	—	13	1	no	—
985	C₄×SD₁₆	—	13	1	no	—
986	C₄×SD₁₆	—	13	1	no	—
987	C₄×SD₁₆	—	13	1	no	—
988	C₄×SD₁₆	—	13	1	no	—
989	C₄×SD₁₆	—	13	1	no	—
990	C₄×SD₁₆	—	13	1	no	—
991	C₄×D₈	—	13	1	no	—
992	C₄×D₈	—	13	1	no	—
993	C₄×D₈	—	13	1	no	—
994	C₄×D₈	—	13	1	no	—
995	C₄×D₈	—	13	1	no	—
996	C₄×D₈	—	13	1	no	—
997	#433	—	13	1	no	—
998	#433	—	13	1	no	—
999	#433	—	13	1	no	—
1000	#433	—	13	1	no	—
1001	#432	—	13	1	no	—
1002	#432	C₂×D₁₃	1	1	yes	characteristic, complemented
1003	#431	—	13	1	no	—
1004	#431	—	13	1	no	—
1005	#428	—	13	1	no	—
1006	#428	—	13	1	no	—
1007	#427	—	13	1	no	—
1008	#427	—	13	1	no	—
1009	#423	—	13	1	no	—
1010	C₂×C₄⋊C₈	—	13	1	no	—
1011	#419	—	13	1	no	—
1012	#418	—	13	1	no	—
1013	#418	—	13	1	no	—
1014	#418	—	13	1	no	—
1015	#416	—	13	1	no	—
1016	#416	—	13	1	no	—
1017	C₂×#103	—	13	1	no	—
1018	C₂×#102	—	13	1	no	—
1019	#408	—	13	1	no	—
1020	#408	—	13	1	no	—
1021	#405	—	13	1	no	—
1022	#405	—	13	1	no	—
1023	C₂²×C₁₃	—	2	1	no	—
1024	C₂²×C₁₃	—	2	1	no	—
1025	C₂²×C₁₃	—	2	1	no	—
1026	C₂²×C₁₃	—	2	2	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	4	1	no	—
1030	C₂²×C₁₃	—	4	1	no	—
1031	C₂²×C₁₃	—	4	1	no	—
1032	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1033	C₂×D₁₃	—	2	1	no	—
1034	C₂×D₁₃	—	2	1	no	—
1035	C₂×D₁₃	—	2	1	no	—
1036	C₂×D₁₃	—	2	1	no	—
1037	C₂×D₁₃	—	2	1	no	—
1038	C₂×D₁₃	—	2	2	no	—
1039	C₂×D₁₃	—	2	2	no	—
1040	C₂×D₁₃	—	4	1	no	—
1041	C₂×D₁₃	—	4	1	no	—
1042	C₂×D₁₃	—	4	1	no	—
1043	C₂×D₁₃	—	4	1	no	—
1044	C₂×D₁₃	—	4	1	no	—
1045	C₂×D₁₃	—	4	1	no	—
1046	C₂×D₁₃	—	4	1	no	—
1047	C₂×D₁₃	—	8	4	no	—
1048	C₂×D₁₃	—	8	4	no	—
1049	C₂×D₁₃	—	8	4	no	—
1050	C₂×D₁₃	—	16	2	no	—
1051	C₂×D₁₃	#525	1	2	yes	—
1052	C₄×C₁₃	—	2	1	no	—
1053	C₄×C₁₃	—	2	1	no	—
1054	C₄×C₁₃	—	2	1	no	—
1055	C₄×C₁₃	—	2	1	no	—
1056	C₄×C₁₃	—	2	1	no	—
1057	C₄×C₁₃	—	2	2	no	—
1058	C₄×C₁₃	—	4	1	no	—
1059	C₄×C₁₃	—	4	1	no	—
1060	C₄×C₁₃	—	4	1	no	—
1061	C₄×C₁₃	—	4	1	no	—
1062	C₄×C₁₃	—	4	1	no	—
1063	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1064	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1065	Dic₁₃	—	2	1	no	—
1066	Dic₁₃	—	2	1	no	—
1067	Dic₁₃	—	2	1	no	—
1068	Dic₁₃	—	2	1	no	—
1069	Dic₁₃	—	2	1	no	—
1070	Dic₁₃	—	4	1	no	—
1071	Dic₁₃	—	4	1	no	—
1072	Dic₁₃	—	4	1	no	—
1073	Dic₁₃	—	4	1	no	—
1074	Dic₁₃	—	4	1	no	—
1075	Dic₁₃	#525	1	2	yes	—
1076	H(5,𝔽₂)	—	26	4	no	—
1077	H(5,𝔽₂)	—	26	4	no	—
1078	C₂×#41	—	13	1	no	—
1079	C₂×#41	—	13	1	no	—
1080	C₂×#41	—	13	1	no	—
1081	C₂×#41	—	26	1	no	—
1082	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1083	C₂²×Q₈	—	13	1	no	—
1084	C₂²×D₄	—	13	1	no	—
1085	C₂²×D₄	—	13	1	no	—
1086	C₂²×D₄	—	13	1	no	—
1087	C₂²×D₄	—	13	1	no	—
1088	C₂²×D₄	—	26	1	no	—
1089	C₂²×D₄	—	26	1	no	—
1090	C₂²×D₄	—	26	1	no	—
1091	C₂³×C₄	—	26	1	no	—
1092	C₂³×C₄	—	26	1	no	—
1093	C₂³×C₄	—	26	1	no	—
1094	#137	—	26	4	no	—
1095	AGL(1,ℤ/8)	—	26	4	no	—
1096	C₂×Q₁₆	—	13	1	no	—
1097	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×SD₁₆	—	13	1	no	—
1099	C₂×SD₁₆	—	13	1	no	—
1100	C₂×SD₁₆	—	13	1	no	—
1101	C₂×SD₁₆	—	13	1	no	—
1102	C₂×SD₁₆	—	13	1	no	—
1103	C₂×SD₁₆	—	13	1	no	—
1104	C₂×SD₁₆	—	26	4	no	—
1105	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1106	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1107	C₂×D₈	—	13	1	no	—
1108	C₂×D₈	—	13	1	no	—
1109	C₂×D₈	—	13	1	no	—
1110	C₂×D₈	—	13	1	no	—
1111	C₂×D₈	—	13	1	no	—
1112	C₂×D₈	—	26	4	no	—
1113	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1114	C₂×M₁₆	—	13	1	no	—
1115	C₂×M₁₆	—	13	1	no	—
1116	C₂²×C₈	—	13	1	no	—
1117	C₂²×C₈	—	13	1	no	—
1118	C₄⋊Q₈	—	13	1	no	—
1119	C₄⋊Q₈	—	13	1	no	—
1120	C₄⋊Q₈	—	26	1	no	—
1121	#127	—	26	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	26	1	no	—
1124	#126	—	26	1	no	—
1125	#126	—	26	1	no	—
1126	#126	—	26	1	no	—
1127	#126	—	26	1	no	—
1128	#126	—	26	1	no	—
1129	#126	—	26	1	no	—
1130	#125	—	13	1	no	—
1131	#125	C₂²×D₁₃	1	1	yes	characteristic
1132	#124	—	13	1	no	—
1133	#124	—	13	1	no	—
1134	#124	—	13	1	no	—
1135	#124	—	26	1	no	—
1136	#124	—	26	1	no	—
1137	#124	—	26	1	no	—
1138	#124	—	26	1	no	—
1139	#124	—	26	1	no	—
1140	#124	—	26	1	no	—
1141	#124	—	26	1	no	—
1142	#124	—	26	1	no	—
1143	#124	C₂²×D₁₃	1	1	yes	characteristic
1144	#123	—	2	1	no	—
1145	#123	—	26	1	no	—
1146	#123	—	26	1	no	—
1147	#123	—	26	1	no	—
1148	#123	—	26	1	no	—
1149	#123	—	26	1	no	—
1150	#123	—	26	1	no	—
1151	#123	—	26	1	no	—
1152	#123	—	26	1	no	—
1153	#123	—	26	1	no	—
1154	C₂²⋊Q₈	—	13	1	no	—
1155	C₂²⋊Q₈	—	13	1	no	—
1156	C₂²⋊Q₈	—	13	1	no	—
1157	C₂²⋊Q₈	—	26	1	no	—
1158	C₂²⋊Q₈	—	26	1	no	—
1159	C₂²⋊Q₈	—	26	1	no	—
1160	C₂²⋊Q₈	—	26	1	no	—
1161	C₂²⋊Q₈	—	26	1	no	—
1162	C₂²⋊Q₈	—	26	1	no	—
1163	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1164	#121	—	13	1	no	—
1165	#121	—	13	1	no	—
1166	#121	—	13	1	no	—
1167	#121	C₂²×D₁₃	1	1	yes	characteristic
1168	#120	—	26	1	no	—
1169	#120	—	26	1	no	—
1170	C₄×Q₈	—	13	1	no	—
1171	C₄×Q₈	—	13	1	no	—
1172	C₄×Q₈	—	13	1	no	—
1173	C₄×Q₈	—	13	1	no	—
1174	C₄×Q₈	—	13	1	no	—
1175	C₄×Q₈	—	13	1	no	—
1176	C₄×Q₈	—	13	1	no	—
1177	C₄×Q₈	—	26	1	no	—
1178	C₄×Q₈	—	26	1	no	—
1179	C₄×Q₈	—	26	1	no	—
1180	C₄×Q₈	—	26	1	no	—
1181	C₄×Q₈	—	26	1	no	—
1182	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1183	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1184	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	2	1	no	—
1188	C₄×D₄	—	13	1	no	—
1189	C₄×D₄	—	13	1	no	—
1190	C₄×D₄	—	13	1	no	—
1191	C₄×D₄	—	13	1	no	—
1192	C₄×D₄	—	13	1	no	—
1193	C₄×D₄	—	13	1	no	—
1194	C₄×D₄	—	13	1	no	—
1195	C₄×D₄	—	13	1	no	—
1196	C₄×D₄	—	13	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	26	1	no	—
1208	C₄×D₄	—	26	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	—	26	1	no	—
1223	C₄×D₄	—	26	1	no	—
1224	C₄×D₄	—	26	1	no	—
1225	C₄×D₄	—	26	1	no	—
1226	C₄×D₄	—	26	1	no	—
1227	C₄×D₄	—	26	1	no	—
1228	C₄×D₄	—	26	1	no	—
1229	C₄×D₄	—	26	1	no	—
1230	C₄×D₄	—	26	1	no	—
1231	C₄×D₄	—	26	1	no	—
1232	C₄×D₄	—	26	1	no	—
1233	C₄×D₄	—	26	1	no	—
1234	C₄×D₄	—	26	1	no	—
1235	C₄×D₄	—	26	1	no	—
1236	C₄×D₄	—	26	1	no	—
1237	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1238	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1239	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	13	1	no	—
1243	#117	—	13	1	no	—
1244	#117	—	13	1	no	—
1245	#117	—	13	1	no	—
1246	#117	—	13	1	no	—
1247	#117	—	13	1	no	—
1248	#117	—	13	1	no	—
1249	#117	—	26	1	no	—
1250	#117	—	26	1	no	—
1251	#117	—	26	1	no	—
1252	#117	—	26	1	no	—
1253	#117	—	26	1	no	—
1254	#117	—	26	1	no	—
1255	#117	—	26	1	no	—
1256	#117	—	26	1	no	—
1257	#117	—	26	1	no	—
1258	#117	—	26	1	no	—
1259	#117	C₂²×D₁₃	1	1	yes	characteristic
1260	C₂×C₄⋊C₄	—	13	1	no	—
1261	C₂×C₄⋊C₄	—	13	1	no	—
1262	C₂×C₄⋊C₄	—	13	1	no	—
1263	C₂×C₄⋊C₄	—	26	1	no	—
1264	C₂×C₄⋊C₄	—	26	1	no	—
1265	C₂×C₄⋊C₄	—	26	1	no	—
1266	C₂×C₂²⋊C₄	—	26	1	no	—
1267	C₂×C₂²⋊C₄	—	26	1	no	—
1268	C₂×C₂²⋊C₄	—	26	1	no	—
1269	C₂×C₂²⋊C₄	—	26	1	no	—
1270	C₂×C₂²⋊C₄	—	26	1	no	—
1271	C₂×C₂²⋊C₄	—	26	1	no	—
1272	C₂×C₂²⋊C₄	—	26	1	no	—
1273	C₂×C₂²⋊C₄	—	26	1	no	—
1274	C₂×C₂²⋊C₄	—	26	1	no	—
1275	C₂×C₂²⋊C₄	—	26	1	no	—
1276	C₂×C₂²⋊C₄	—	26	1	no	—
1277	C₂×C₂²⋊C₄	—	26	1	no	—
1278	C₂×C₂²⋊C₄	—	26	1	no	—
1279	C₂×C₄²	—	2	1	no	—
1280	C₂×C₄²	—	13	1	no	—
1281	C₂×C₄²	—	13	1	no	—
1282	C₂×C₄²	—	26	1	no	—
1283	C₂×C₄²	—	26	1	no	—
1284	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1285	#107	—	13	1	no	—
1286	#107	—	13	1	no	—
1287	#107	—	13	1	no	—
1288	#107	—	13	1	no	—
1289	#107	—	13	1	no	—
1290	#107	—	13	1	no	—
1291	#107	C₂²×D₁₃	1	1	yes	characteristic
1292	#107	C₂²×D₁₃	1	1	yes	characteristic
1293	#106	—	13	1	no	—
1294	#106	—	13	1	no	—
1295	#106	—	13	1	no	—
1296	#106	—	13	1	no	—
1297	#106	—	13	1	no	—
1298	#106	—	13	1	no	—
1299	#106	C₂²×D₁₃	1	1	yes	characteristic
1300	#106	C₂²×D₁₃	1	1	yes	characteristic
1301	C₄⋊C₈	—	13	1	no	—
1302	C₄⋊C₈	—	13	1	no	—
1303	C₄⋊C₈	—	13	1	no	—
1304	C₄⋊C₈	—	13	1	no	—
1305	C₄⋊C₈	—	13	1	no	—
1306	C₄⋊C₈	—	13	1	no	—
1307	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1308	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1309	#103	—	13	1	no	—
1310	#103	—	13	1	no	—
1311	#103	—	13	1	no	—
1312	#103	—	13	1	no	—
1313	#103	—	13	1	no	—
1314	#103	—	13	1	no	—
1315	#103	—	13	1	no	—
1316	#103	—	13	1	no	—
1317	#103	C₂²×D₁₃	1	1	yes	characteristic
1318	#103	C₂²×D₁₃	1	1	yes	characteristic
1319	#103	C₂²×D₁₃	1	1	yes	characteristic
1320	#103	C₂²×D₁₃	1	1	yes	characteristic
1321	#102	—	13	1	no	—
1322	#102	—	13	1	no	—
1323	#102	—	13	1	no	—
1324	#102	—	13	1	no	—
1325	#102	—	13	1	no	—
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	C₂²×D₁₃	1	1	yes	characteristic
1338	#102	C₂²×D₁₃	1	1	yes	characteristic
1339	#102	C₂²×D₁₃	1	1	yes	characteristic
1340	#102	C₂²×D₁₃	1	1	yes	characteristic
1341	C₂²⋊C₈	—	13	1	no	—
1342	C₂²⋊C₈	—	13	1	no	—
1343	C₂²⋊C₈	—	13	1	no	—
1344	C₂²⋊C₈	—	13	1	no	—
1345	C₂²⋊C₈	—	13	1	no	—
1346	C₂²⋊C₈	—	13	1	no	—
1347	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1348	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1349	#97	—	13	1	no	—
1350	#97	—	13	1	no	—
1351	#97	C₂²×D₁₃	1	1	yes	characteristic
1352	#97	C₂²×D₁₃	1	1	yes	characteristic
1353	C₄×C₈	—	13	1	no	—
1354	C₄×C₈	—	13	1	no	—
1355	C₄×C₈	—	13	1	no	—
1356	C₄×C₈	—	13	1	no	—
1357	C₂×C₁₃	—	4	1	no	—
1358	C₂×C₁₃	—	4	2	no	—
1359	C₂×C₁₃	—	8	1	no	—
1360	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1361	C₂×C₁₃	#3584	1	1	yes	characteristic
1362	C₂×C₁₃	#3585	1	1	yes	characteristic
1363	D₁₃	—	2	2	no	—
1364	D₁₃	—	4	1	no	—
1365	D₁₃	—	4	2	no	—
1366	D₁₃	—	4	2	no	—
1367	D₁₃	—	8	1	no	—
1368	C₂⁴	—	26	1	no	—
1369	C₂⁴	—	26	1	no	—
1370	C₂⁴	—	26	1	no	—
1371	C₂⁴	—	26	1	no	—
1372	#41	—	2	2	no	—
1373	#41	—	2	2	no	—
1374	#41	—	13	4	no	—
1375	#41	—	26	2	no	—
1376	#41	—	26	2	no	—
1377	#41	—	26	8	no	—
1378	#41	—	26	2	no	—
1379	#41	—	26	2	no	—
1380	#41	—	26	2	no	—
1381	C₂×Q₈	—	13	1	no	—
1382	C₂×Q₈	—	13	1	no	—
1383	C₂×Q₈	—	26	1	no	—
1384	C₂×Q₈	—	26	1	no	—
1385	C₂×Q₈	—	26	1	no	—
1386	C₂×Q₈	—	26	2	no	—
1387	C₂×Q₈	—	26	2	no	—
1388	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1389	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1390	C₂×D₄	—	2	1	no	—
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	13	4	no	—
1393	C₂×D₄	—	13	1	no	—
1394	C₂×D₄	—	13	1	no	—
1395	C₂×D₄	—	13	1	no	—
1396	C₂×D₄	—	13	1	no	—
1397	C₂×D₄	—	13	1	no	—
1398	C₂×D₄	—	13	1	no	—
1399	C₂×D₄	—	26	2	no	—
1400	C₂×D₄	—	26	2	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	1	no	—
1403	C₂×D₄	—	26	8	no	—
1404	C₂×D₄	—	26	1	no	—
1405	C₂×D₄	—	26	2	no	—
1406	C₂×D₄	—	26	2	no	—
1407	C₂×D₄	—	26	2	no	—
1408	C₂×D₄	—	26	1	no	—
1409	C₂×D₄	—	26	1	no	—
1410	C₂×D₄	—	26	1	no	—
1411	C₂×D₄	—	26	2	no	—
1412	C₂×D₄	—	26	8	no	—
1413	C₂×D₄	—	26	8	no	—
1414	C₂×D₄	—	26	2	no	—
1415	C₂×D₄	—	26	1	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1419	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	2	1	no	—
1424	C₂²×C₄	—	13	1	no	—
1425	C₂²×C₄	—	13	1	no	—
1426	C₂²×C₄	—	13	1	no	—
1427	C₂²×C₄	—	13	1	no	—
1428	C₂²×C₄	—	13	1	no	—
1429	C₂²×C₄	—	13	1	no	—
1430	C₂²×C₄	—	26	1	no	—
1431	C₂²×C₄	—	26	1	no	—
1432	C₂²×C₄	—	26	1	no	—
1433	C₂²×C₄	—	26	1	no	—
1434	C₂²×C₄	—	26	1	no	—
1435	C₂²×C₄	—	26	1	no	—
1436	C₂²×C₄	—	26	1	no	—
1437	C₂²×C₄	—	26	1	no	—
1438	C₂²×C₄	—	26	1	no	—
1439	C₂²×C₄	—	26	1	no	—
1440	C₂²×C₄	—	26	1	no	—
1441	C₂²×C₄	—	26	1	no	—
1442	C₂²×C₄	—	26	1	no	—
1443	C₂²×C₄	—	26	1	no	—
1444	C₂²×C₄	—	26	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	26	1	no	—
1448	C₂²×C₄	—	26	1	no	—
1449	C₂²×C₄	—	104	2	no	—
1450	C₂²×C₄	—	104	2	no	—
1451	C₂²×C₄	—	104	2	no	—
1452	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1453	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1454	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1455	Q₁₆	—	2	2	no	—
1456	Q₁₆	—	26	2	no	—
1457	SD₁₆	—	2	2	no	—
1458	SD₁₆	—	2	2	no	—
1459	SD₁₆	—	26	2	no	—
1460	SD₁₆	—	26	2	no	—
1461	SD₁₆	—	26	2	no	—
1462	SD₁₆	—	26	2	no	—
1463	SD₁₆	—	26	2	no	—
1464	SD₁₆	—	26	2	no	—
1465	D₈	—	2	2	no	—
1466	D₈	—	26	2	no	—
1467	D₈	—	26	2	no	—
1468	D₈	—	26	2	no	—
1469	D₈	—	26	2	no	—
1470	D₈	—	26	2	no	—
1471	M₁₆	—	26	2	no	—
1472	M₁₆	—	26	2	no	—
1473	C₂×C₈	—	13	1	no	—
1474	C₂×C₈	—	13	1	no	—
1475	C₂×C₈	—	13	1	no	—
1476	C₂×C₈	—	13	1	no	—
1477	C₂×C₈	—	26	2	no	—
1478	C₂×C₈	—	26	2	no	—
1479	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1480	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1481	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1482	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1483	C₄⋊C₄	—	2	1	no	—
1484	C₄⋊C₄	—	2	1	no	—
1485	C₄⋊C₄	—	2	1	no	—
1486	C₄⋊C₄	—	2	1	no	—
1487	C₄⋊C₄	—	2	1	no	—
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	13	1	no	—
1490	C₄⋊C₄	—	13	1	no	—
1491	C₄⋊C₄	—	13	1	no	—
1492	C₄⋊C₄	—	13	1	no	—
1493	C₄⋊C₄	—	13	1	no	—
1494	C₄⋊C₄	—	13	1	no	—
1495	C₄⋊C₄	—	13	1	no	—
1496	C₄⋊C₄	—	13	1	no	—
1497	C₄⋊C₄	—	13	1	no	—
1498	C₄⋊C₄	—	13	1	no	—
1499	C₄⋊C₄	—	26	1	no	—
1500	C₄⋊C₄	—	26	1	no	—
1501	C₄⋊C₄	—	26	1	no	—
1502	C₄⋊C₄	—	26	1	no	—
1503	C₄⋊C₄	—	26	1	no	—
1504	C₄⋊C₄	—	26	1	no	—
1505	C₄⋊C₄	—	26	1	no	—
1506	C₄⋊C₄	—	26	1	no	—
1507	C₄⋊C₄	—	26	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1515	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1516	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1517	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	13	1	no	—
1527	C₂²⋊C₄	—	13	1	no	—
1528	C₂²⋊C₄	—	13	1	no	—
1529	C₂²⋊C₄	—	13	1	no	—
1530	C₂²⋊C₄	—	13	1	no	—
1531	C₂²⋊C₄	—	13	1	no	—
1532	C₂²⋊C₄	—	26	1	no	—
1533	C₂²⋊C₄	—	26	1	no	—
1534	C₂²⋊C₄	—	26	1	no	—
1535	C₂²⋊C₄	—	26	1	no	—
1536	C₂²⋊C₄	—	26	1	no	—
1537	C₂²⋊C₄	—	26	1	no	—
1538	C₂²⋊C₄	—	26	1	no	—
1539	C₂²⋊C₄	—	26	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	—	13	1	no	—
1566	C₄²	—	13	1	no	—
1567	C₄²	—	13	1	no	—
1568	C₄²	—	13	1	no	—
1569	C₄²	—	13	1	no	—
1570	C₄²	—	13	1	no	—
1571	C₄²	—	26	1	no	—
1572	C₄²	—	26	1	no	—
1573	C₄²	—	26	1	no	—
1574	C₄²	—	26	1	no	—
1575	C₄²	—	26	1	no	—
1576	C₄²	—	26	1	no	—
1577	C₄²	—	26	1	no	—
1578	C₄²	—	26	1	no	—
1579	C₄²	—	26	1	no	—
1580	C₄²	D₄×D₁₃	1	1	yes	characteristic
1581	C₄²	D₄×D₁₃	1	1	yes	characteristic
1582	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1583	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1584	C₁₃	#60592	1	1	yes	characteristic, complemented, Sylow
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	13	1	no	—
1588	C₂³	—	13	1	no	—
1589	C₂³	—	26	4	no	—
1590	C₂³	—	26	4	no	—
1591	C₂³	—	26	4	no	—
1592	C₂³	—	26	1	no	—
1593	C₂³	—	26	1	no	—
1594	C₂³	—	26	1	no	—
1595	C₂³	—	52	2	no	—
1596	C₂³	—	104	1	no	—
1597	C₂³	—	104	1	no	—
1598	C₂³	—	104	1	no	—
1599	C₂³	—	104	1	no	—
1600	C₂³	—	104	1	no	—
1601	C₂³	—	104	1	no	—
1602	C₂³	—	104	1	no	—
1603	C₂³	—	104	1	no	—
1604	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1605	Q₈	—	2	1	no	—
1606	Q₈	—	2	1	no	—
1607	Q₈	—	2	1	no	—
1608	Q₈	—	26	2	no	—
1609	Q₈	—	26	1	no	—
1610	Q₈	—	26	1	no	—
1611	Q₈	—	52	2	no	—
1612	Q₈	—	104	1	no	—
1613	Q₈	—	104	1	no	—
1614	Q₈	#41×D₁₃	1	2	yes	—
1615	D₄	—	2	4	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	2	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	13	2	no	—
1621	D₄	—	13	2	no	—
1622	D₄	—	26	2	no	—
1623	D₄	—	26	4	no	—
1624	D₄	—	26	4	no	—
1625	D₄	—	26	4	no	—
1626	D₄	—	26	2	no	—
1627	D₄	—	26	4	no	—
1628	D₄	—	26	2	no	—
1629	D₄	—	26	4	no	—
1630	D₄	—	26	1	no	—
1631	D₄	—	26	1	no	—
1632	D₄	—	26	1	no	—
1633	D₄	—	26	1	no	—
1634	D₄	—	52	2	no	—
1635	D₄	—	104	1	no	—
1636	D₄	—	104	1	no	—
1637	D₄	—	104	1	no	—
1638	D₄	#41×D₁₃	1	2	yes	—
1639	C₂×C₄	—	2	4	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	2	1	no	—
1648	C₂×C₄	—	4	1	no	—
1649	C₂×C₄	—	4	1	no	—
1650	C₂×C₄	—	4	2	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	13	1	no	—
1654	C₂×C₄	—	13	2	no	—
1655	C₂×C₄	—	13	2	no	—
1656	C₂×C₄	—	13	1	no	—
1657	C₂×C₄	—	13	1	no	—
1658	C₂×C₄	—	13	1	no	—
1659	C₂×C₄	—	13	1	no	—
1660	C₂×C₄	—	13	1	no	—
1661	C₂×C₄	—	26	4	no	—
1662	C₂×C₄	—	26	4	no	—
1663	C₂×C₄	—	26	1	no	—
1664	C₂×C₄	—	26	1	no	—
1665	C₂×C₄	—	26	1	no	—
1666	C₂×C₄	—	26	1	no	—
1667	C₂×C₄	—	26	1	no	—
1668	C₂×C₄	—	26	1	no	—
1669	C₂×C₄	—	26	1	no	—
1670	C₂×C₄	—	52	1	no	—
1671	C₂×C₄	—	52	1	no	—
1672	C₂×C₄	—	52	1	no	—
1673	C₂×C₄	—	52	1	no	—
1674	C₂×C₄	—	52	2	no	—
1675	C₂×C₄	—	52	2	no	—
1676	C₂×C₄	—	52	2	no	—
1677	C₂×C₄	—	104	1	no	—
1678	C₂×C₄	—	104	1	no	—
1679	C₂×C₄	—	104	1	no	—
1680	C₂×C₄	—	104	1	no	—
1681	C₂×C₄	—	104	1	no	—
1682	C₂×C₄	—	104	1	no	—
1683	C₂×C₄	—	104	1	no	—
1684	C₂×C₄	—	104	1	no	—
1685	C₂×C₄	—	104	1	no	—
1686	C₂×C₄	—	104	1	no	—
1687	C₂×C₄	—	104	1	no	—
1688	C₂×C₄	—	104	1	no	—
1689	C₂×C₄	—	104	1	no	—
1690	C₂×C₄	—	104	1	no	—
1691	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1692	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1693	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1694	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1695	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1696	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1697	C₈	—	2	1	no	—
1698	C₈	—	2	1	no	—
1699	C₈	—	2	1	no	—
1700	C₈	—	2	1	no	—
1701	C₈	—	26	1	no	—
1702	C₈	—	26	1	no	—
1703	C₈	—	26	1	no	—
1704	C₈	—	26	1	no	—
1705	C₂²	—	2	1	no	—
1706	C₂²	—	2	2	no	—
1707	C₂²	—	2	1	no	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	13	2	no	—
1715	C₂²	—	26	1	no	—
1716	C₂²	—	26	1	no	—
1717	C₂²	—	26	2	no	—
1718	C₂²	—	26	2	no	—
1719	C₂²	—	26	1	no	—
1720	C₂²	—	26	1	no	—
1721	C₂²	—	26	1	no	—
1722	C₂²	—	52	1	no	—
1723	C₂²	—	52	1	no	—
1724	C₂²	—	52	1	no	—
1725	C₂²	—	52	1	no	—
1726	C₂²	—	52	1	no	—
1727	C₂²	—	52	1	no	—
1728	C₂²	—	52	1	no	—
1729	C₂²	—	104	4	no	—
1730	C₂²	—	104	4	no	—
1731	C₂²	—	104	4	no	—
1732	C₂²	—	208	2	no	—
1733	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1734	C₄	—	2	1	no	—
1735	C₄	—	2	2	no	—
1736	C₄	—	2	1	no	—
1737	C₄	—	2	1	no	—
1738	C₄	—	2	1	no	—
1739	C₄	—	2	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	4	1	no	—
1742	C₄	—	4	1	no	—
1743	C₄	—	4	1	no	—
1744	C₄	—	4	1	no	—
1745	C₄	—	13	2	no	—
1746	C₄	—	26	1	no	—
1747	C₄	—	26	1	no	—
1748	C₄	—	26	1	no	—
1749	C₄	—	26	1	no	—
1750	C₄	—	26	1	no	—
1751	C₄	—	52	1	no	—
1752	C₄	—	52	1	no	—
1753	C₄	—	52	1	no	—
1754	C₄	—	52	1	no	—
1755	C₄	—	52	1	no	—
1756	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1757	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1758	C₂	—	4	1	no	—
1759	C₂	—	4	2	no	—
1760	C₂	—	8	1	no	—
1761	C₂	—	26	2	no	—
1762	C₂	—	52	1	no	—
1763	C₂	—	52	2	no	—
1764	C₂	—	52	2	no	—
1765	C₂	—	104	1	no	—
1766	C₂	D₁₃×#525	1	1	yes	characteristic
1767	C₂	#13129609	1	1	yes	characteristic
1768	C₂	#13129613	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×#3111	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13124101	C₂
hypercenter	#3111	D₁₃
hypocenter	C₁₃	#60592
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3111

Complements

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

N	H ≅ G/N	type
1. #13128725	C₂	semidirect
2. C₄×#88256	C₂	semidirect
3. #13125114	C₂	semidirect
4. #13125111	C₂	semidirect
5. #13125099	C₂	semidirect
6. #13125096	C₂	semidirect
7. #13125024	C₂	semidirect
8. #13125023	C₂	semidirect
9. #13125018	C₂	semidirect
10. #13125015	C₂	semidirect
11. #13124976	C₂	semidirect
12. #13124973	C₂	semidirect
13. #13124952	C₂	semidirect
14. #13124888	C₂	semidirect
15. #13124879	C₂	semidirect
16. #13124854	C₂	semidirect
17. #13124853	C₂	semidirect
18. #13124802	C₂	semidirect
19. #13124791	C₂	semidirect
20. #13124631	C₂	semidirect
21. #13124623	C₂	semidirect
22. #13124327	C₂	semidirect
23. D₁₃×#463	C₂	semidirect
24. #13124110	C₂	semidirect
26. #13123692	C₂	semidirect
27. #13123685	C₂	semidirect
28. #13123678	C₂	semidirect
29. #13123667	C₂	semidirect
30. #13123503	C₂	semidirect
31. C₁₃×#3111	C₂	semidirect
33. C₁₃×#529	C₂²	semidirect
34. C₄×C₁₃×#41	C₂²	semidirect
35. #11719532	C₂²	semidirect
42. #11719396	C₂²	semidirect
43. #11719393	C₂²	semidirect
44. #11719385	C₂²	semidirect
45. D₁₃×#124	C₂²	semidirect
48. #11719348	C₂²	semidirect
51. #11719308	C₂²	semidirect
52. #11719287	C₂²	semidirect
54. #11719279	C₂²	semidirect
56. C₄×#6131	C₂²	semidirect
57. #11719277	C₂²	semidirect
58. #11719266	C₂²	semidirect
64. #11719250	C₂²	semidirect
65. #11719250	C₂²	semidirect
69. C₄×D₄×D₁₃	C₂²	semidirect
75. #11719226	C₂²	semidirect
76. #11719184	C₂²	semidirect
80. C₂×C₄×D₅₂	C₂²	semidirect
81. C₁₃×#485	C₂²	semidirect
82. C₁₃×#482	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#464	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#452	C₂²	semidirect
89. C₁₃×#442	C₂²	semidirect
90. C₁₃×#441	C₂²	semidirect
91. C₁₃×#440	C₂²	semidirect
92. C₁₃×#440	C₂²	semidirect
93. C₁₃×#432	C₂²	semidirect
94. #11718900	C₂²	semidirect
96. #11718848	C₂²	semidirect
97. #11718846	C₂²	semidirect
98. Q₁₆×Dic₁₃	C₂²	semidirect
100. #11718830	C₂²	semidirect
101. #11718827	C₂²	semidirect
102. #11718826	C₂²	semidirect
103. #11718825	C₂²	semidirect
104. SD₁₆×Dic₁₃	C₂²	semidirect
106. #11718814	C₂²	semidirect
107. #11718813	C₂²	semidirect
108. #11718727	C₂²	semidirect
109. #11718727	C₂²	semidirect
110. #11718718	C₂²	semidirect
111. #11718718	C₂²	semidirect
112. #11718707	C₂²	semidirect
113. #11718705	C₂²	semidirect
115. #11718695	C₂²	semidirect
116. C₄×#6107	C₂²	semidirect
117. #11718689	C₂²	semidirect
118. C₄×#6106	C₂²	semidirect
119. C₄×#6106	C₂²	semidirect
120. C₄×#6106	C₂²	semidirect
121. #11718683	C₂²	semidirect
122. C₄×#6105	C₂²	semidirect
123. #11718677	C₂²	semidirect
124. C₄×#6104	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. C₄×#6104	C₂²	semidirect
127. #11718670	C₂²	semidirect
128. #11718664	C₂²	semidirect
129. #11718657	C₂²	semidirect
130. #11718586	C₂²	semidirect
131. #11718551	C₂²	semidirect
132. #11718551	C₂²	semidirect
133. #11718550	C₂²	semidirect
134. #11718546	C₂²	semidirect
135. #11718545	C₂²	semidirect
136. #11718542	C₂²	semidirect
137. #11718541	C₂²	semidirect
138. #11718533	C₂²	semidirect
139. #11718531	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718530	C₂²	semidirect
142. #11718528	C₂²	semidirect
143. #11718524	C₂²	semidirect
144. #11718522	C₂²	semidirect
145. #11718521	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718508	C₂²	semidirect
149. #11718505	C₂²	semidirect
150. #11718505	C₂²	semidirect
151. #11718498	C₂²	semidirect
152. #11718496	C₂²	semidirect
153. #11718494	C₂²	semidirect
154. D₁₃×C₄⋊C₈	C₂²	semidirect
155. #11718480	C₂²	semidirect
156. #11718480	C₂²	semidirect
157. #11718478	C₂²	semidirect
158. #11718478	C₂²	semidirect
159. #11718476	C₂²	semidirect
161. #11718471	C₂²	semidirect
162. #11718466	C₂²	semidirect
165. #11718463	C₂²	semidirect
166. D₁₃×#103	C₂²	semidirect
167. #11718455	C₂²	semidirect
168. #11718452	C₂²	semidirect
169. #11718450	C₂²	semidirect
170. #11718449	C₂²	semidirect
171. #11718448	C₂²	semidirect
172. #11718448	C₂²	semidirect
173. #11718446	C₂²	semidirect
174. #11718445	C₂²	semidirect
175. #11718437	C₂²	semidirect
176. #11718435	C₂²	semidirect
180. #11718431	C₂²	semidirect
181. D₁₃×#102	C₂²	semidirect
182. #11718422	C₂²	semidirect
183. #11718420	C₂²	semidirect
184. #11718419	C₂²	semidirect
185. #11718417	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718397	C₂²	semidirect
189. #11718392	C₂²	semidirect
192. #11718382	C₂²	semidirect
193. #11718381	C₂²	semidirect
194. #11718381	C₂²	semidirect
195. #11718372	C₂²	semidirect
196. #11718372	C₂²	semidirect
197. #11718371	C₂²	semidirect
198. #11718371	C₂²	semidirect
199. #11718370	C₂²	semidirect
200. #11718370	C₂²	semidirect
201. #11718369	C₂²	semidirect
202. #11718369	C₂²	semidirect
714. #3111	D₁₃	semidirect
875. #529	C₂×D₁₃	semidirect
894. C₄×#41	C₂×D₁₃	semidirect
904. #485	C₂×D₁₃	semidirect
912. #482	C₂×D₁₃	semidirect
918. #479	C₂×D₁₃	semidirect
924. #478	C₂×D₁₃	semidirect
936. #464	C₂×D₁₃	semidirect
948. #463	C₂×D₁₃	semidirect
952. #452	C₂×D₁₃	semidirect
970. #442	C₂×D₁₃	semidirect
972. #441	C₂×D₁₃	semidirect
979. #440	C₂×D₁₃	semidirect
980. #440	C₂×D₁₃	semidirect
1002. #432	C₂×D₁₃	semidirect
1584. C₁₃	#60592	semidirect

Maximal subgroups

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

subgroup	index
#13128725	2
C₄×#88256	2
#13125114	2
#13125111	2
#13125099	2
#13125096	2
#13125024	2
#13125023	2
#13125018	2
#13125015	2
#13124976	2
#13124973	2
#13124952	2
#13124888	2
#13124879	2
#13124854	2
#13124853	2
#13124802	2
#13124791	2
#13124631	2
#13124623	2
#13124327	2
D₁₃×#463	2
#13124110	2
#13124101	2
#13123692	2
#13123685	2
#13123678	2
#13123667	2
#13123503	2
C₁₃×#3111	2
#60592	13