Finite Group Databasebeta

← C2×#13083189 #15661255

Subgroups — C2×#13083189 #15661255

Order 2816.

7354 conjugacy classes of subgroups.

The subgroup lattice has 2028 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083189C2132yesmaximal, direct product factor
2C2×#10623231C211yesmaximal, characteristic, complemented
3C2×#10623152C211yesmaximal, characteristic, complemented
4C2×#10623197C211yesmaximal, characteristic, complemented
5C2×#10623151C211yesmaximal, characteristic, complemented
6C2×#10623090C211yesmaximal, characteristic, complemented
7C2×#10623233C211yesmaximal, characteristic, complemented
8C2×#10623240C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623058C211yesmaximal, characteristic, complemented
11C2×#10623130C211yesmaximal, characteristic, complemented
12C2×#10623083C211yesmaximal, characteristic, complemented
13C2×#10623083C211yesmaximal, characteristic, complemented
14C2×#10623038C211yesmaximal, characteristic, complemented
15C2×#10623185C211yesmaximal, characteristic, complemented
16C2×#10623141C211yesmaximal, characteristic, complemented
17C2×#10623227C211yesmaximal, characteristic, complemented
18C2×#10623093C211yesmaximal, characteristic, complemented
19C2×#10623146C211yesmaximal, characteristic, complemented
20C2×#10623146C211yesmaximal, characteristic, complemented
21C2×#10623046C211yesmaximal, characteristic, complemented
22C2×#10623191C211yesmaximal, characteristic, complemented
23C2×#10623235C211yesmaximal, characteristic, complemented
24C2×#10623091C211yesmaximal, characteristic, complemented
25C2×#10623091C211yesmaximal, characteristic, complemented
26C2×#10623144C211yesmaximal, characteristic, complemented
27C2×#10623179C211yesmaximal, characteristic, complemented
28C2×#10623138C211yesmaximal, characteristic, complemented
29C2×#10623079C211yesmaximal, characteristic, complemented
30C2×#10623237C211yesmaximal, characteristic, complemented
31C2×#10623059C211yesmaximal, characteristic, complemented
32C2×C11×#553C211yesmaximal, characteristic, complemented
33C22×#4341C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic
35C22×#4339C2211yescharacteristic
36C22×#4339C2211yescharacteristic
37C22×#4339C2211yescharacteristic, complemented
38C23×Dic22C2211yescharacteristic, complemented
39C11×#553C22116yescomplemented
40C2×C11×#126C2211yescharacteristic, complemented
41C2×C11×#126C2211yescharacteristic, complemented
42C2×C11×#125C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×#121C2211yescharacteristic
46C2×C11×#121C2211yescharacteristic
47C2×C11×#121C2211yescharacteristic, complemented
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C4×D4×C11C2211yescharacteristic, complemented
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C2×C4×D4×C11C2211yescharacteristic, complemented
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C11×#117C2211yescharacteristic, complemented
54C22×C11×C4⋊C4C2211yescharacteristic, complemented
55C2×#66993C2211yescharacteristic
56C2×#66993C2211yescharacteristic
57C2×#66993C2211yescharacteristic, complemented
58C2×#66993C2211yescharacteristic, complemented
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic
61C2×#66992C2211yescharacteristic
62C2×#66992C2211yescharacteristic, complemented
63C2×#66992C2211yescharacteristic, complemented
64C2×#66992C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic, complemented
66C2×#66991C2211yescharacteristic
67C2×#66991C2211yescharacteristic, complemented
68C2×#66991C2211yescharacteristic, complemented
69C2×#66990C2211yescharacteristic
70C2×#66990C2211yescharacteristic
71C2×#66990C2211yescharacteristic
72C2×#66990C2211yescharacteristic
73C2×#66989C2211yescharacteristic, complemented
74C2×#66988C2211yescharacteristic
75C2×#66988C2211yescharacteristic, complemented
76C2×#66988C2211yescharacteristic, complemented
77C2×#66983C2211yescharacteristic
78C2×#66983C2211yescharacteristic
79C2×#66983C2211yescharacteristic
80C2×#66983C2211yescharacteristic, complemented
81C2×#66982C2211yescharacteristic
82C2×#66982C2211yescharacteristic, complemented
83C2×#66982C2211yescharacteristic, complemented
84C2×#66982C2211yescharacteristic, complemented
85C2×#66982C2211yescharacteristic, complemented
86C2×#66982C2211yescharacteristic, complemented
87C2×C4×C22⋊D11C2211yescharacteristic
88C2×C4×C22⋊D11C2211yescharacteristic, complemented
89C2×C4×C22⋊D11C2211yescharacteristic, complemented
90C2×C4×C22⋊D11C2211yescharacteristic, complemented
91C2×C4×C22⋊D11C2211yescharacteristic, complemented
92C2×C4×C22⋊D11C2211yescharacteristic, complemented
93C22×(C2×D11)⋊C4C2211yescharacteristic
94C22×(C2×D11)⋊C4C2211yescharacteristic
95C2×#66977C2211yescharacteristic, complemented
96C2×#66977C2211yescharacteristic, complemented
97#10623240C22116yescomplemented
98#10623237C22116yescomplemented
99#10623235C22116yescomplemented
100#10623233C22116yescomplemented
101#10623231C22116yescomplemented
102#10623227C22116yescomplemented
103#10623197C22116yescomplemented
104#10623191C22116yescomplemented
105#10623185C22116yescomplemented
106#10623179C22116yescomplemented
107#10623152C22116yescomplemented
108#10623151C22116yescomplemented
109#10623146C22116yescomplemented
110#10623146C22116yescomplemented
111#10623144C22116yescomplemented
112#10623141C22116yescomplemented
113#10623138C22116yescomplemented
114#10623130C22116yescomplemented
115#10623093C22116yescomplemented
116#10623091C22116yescomplemented
117#10623091C22116yescomplemented
118#10623090C22116yescomplemented
119#10623087C22116yescomplemented
120#10623083C22116yescomplemented
121#10623083C22116yescomplemented
122#10623079C22116yescomplemented
123#10623059C22116yescomplemented
124#10623058C22116yescomplemented
125#10623046C22116yescomplemented
126C2×#66951C2211yescharacteristic
127C2×#66951C2211yescharacteristic
128C2×#66951C2211yescharacteristic
129C2×#66951C2211yescharacteristic, complemented
130C2×#66951C2211yescharacteristic, complemented
131C2×#66951C2211yescharacteristic, complemented
132C2×#66949C2211yescharacteristic
133C2×#66949C2211yescharacteristic
134C2×#66949C2211yescharacteristic, complemented
135C2×#66949C2211yescharacteristic, complemented
136C2×#66949C2211yescharacteristic, complemented
137C2×#66949C2211yescharacteristic, complemented
138C2×#66949C2211yescharacteristic, complemented
139C2×#66949C2211yescharacteristic, complemented
140C2×#66949C2211yescharacteristic, complemented
141#10623038C22116yescomplemented
142C2×#66948C2211yescharacteristic
143C2×#66948C2211yescharacteristic
144C2×#66948C2211yescharacteristic
145C2×#66948C2211yescharacteristic, complemented
146C2×#66948C2211yescharacteristic, complemented
147C2×#66947C2211yescharacteristic
148C2×#66947C2211yescharacteristic
149C2×#66947C2211yescharacteristic
150C2×#66947C2211yescharacteristic
151C2×#66947C2211yescharacteristic, complemented
152C2×#66947C2211yescharacteristic, complemented
153C2×#66947C2211yescharacteristic, complemented
154C2×#66946C2211yescharacteristic
155C2×#66946C2211yescharacteristic, complemented
156C2×#66945C2211yescharacteristic
157C2×C4⋊C4×D11C2211yescharacteristic, complemented
158C2×#66943C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66942C2211yescharacteristic, complemented
162C2×#66942C2211yescharacteristic, complemented
163C2×#66941C2211yescharacteristic, complemented
164C2×#66941C2211yescharacteristic, complemented
165C2×#66940C2211yescharacteristic, complemented
166C2×#66940C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic, complemented
168C2×#66938C2211yescharacteristic
169C2×#66938C2211yescharacteristic
170C2×#66938C2211yescharacteristic
171C2×#66938C2211yescharacteristic
172C2×#66938C2211yescharacteristic
173C2×#66938C2211yescharacteristic
174C2×#66938C2211yescharacteristic, complemented
175C2×#66938C2211yescharacteristic, complemented
176C2×#66937C2211yescharacteristic
177C2×#66937C2211yescharacteristic
178C2×#66937C2211yescharacteristic
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66937C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic, complemented
184C2×#66936C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66936C2211yescharacteristic, complemented
188C2×#66935C2211yescharacteristic
189C2×#66935C2211yescharacteristic
190C2×#66935C2211yescharacteristic
191C2×#66935C2211yescharacteristic
192C2×(C22⋊D11)⋊C4C2211yescharacteristic
193C2×(C22⋊D11)⋊C4C2211yescharacteristic
194C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
195C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
196C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
197C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×C22⋊C4×D11C2211yescharacteristic
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66930C2211yescharacteristic, complemented
206C2×#66930C2211yescharacteristic, complemented
207C2×#66929C2211yescharacteristic
208C2×#66929C2211yescharacteristic
209C2×#66928C2211yescharacteristic
210C2×#66928C2211yescharacteristic, complemented
211C2×#66928C2211yescharacteristic, complemented
212C2×C4×D44C2211yescharacteristic, complemented
213C2×C4×D44C2211yescharacteristic, complemented
214C2×#66925C2211yescharacteristic, complemented
215C2×#66925C2211yescharacteristic, complemented
216C2×C42×D11C2211yescharacteristic, complemented
217C2×C4×Dic22C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C22×D4×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C2×#4341—44no—
254C2×#4341C2318yes—
255C2×D4×D11—44no—
256C2×D4×D11C2318yes—
257C2×#4339—44no—
258C2×#4339—44no—
259C2×#4339—44no—
260C2×#4339C2318yes—
261C2×#4339C2318yes—
262C2×#4339C2318yescomplemented
263C22×D44C2311yescharacteristic
264C22×D44C2311yescharacteristic
265C22×D44C2311yescharacteristic
266C22×D44C2311yescharacteristic
267C22×D44C2311yescharacteristic
268C22×D44C2311yescharacteristic
269C22×D44C2311yescharacteristic
270C22×D44C2311yescharacteristic
271C22×C4×D11C2311yescharacteristic
272C22×C4×D11C2311yescharacteristic
273C22×C4×D11C2311yescharacteristic
274C22×C4×D11C2311yescharacteristic
275C22×C4×D11C2311yescharacteristic
276C22×C4×D11C2311yescharacteristic
277C22×C4×D11C2311yescharacteristic
278C22×C4×D11C2311yescharacteristic
279C22×C4×D11C2311yescharacteristic
280C22×C4×D11C2311yescharacteristic
281C22×C4×D11C2311yescharacteristic
282C22×Dic22—44no—
283C22×Dic22C2311yescharacteristic
284C22×Dic22C2311yescharacteristic
285C22×Dic22C2311yescharacteristic
286C22×Dic22C2311yescharacteristic
287C22×Dic22C2311yescharacteristic
288C22×Dic22C2311yescharacteristic
289C22×Dic22C2318yescomplemented
290C11×#126C2318yescomplemented
291C11×#126C2318yescomplemented
292C11×#125C2318yescomplemented
293C11×#123C2318yes—
294C11×#123C2318yescomplemented
295C11×#121C2318yes—
296C11×#121C2318yes—
297C11×#121C2318yescomplemented
298C11×#121C2318yescomplemented
299C4×D4×C11C2318yescomplemented
300C4×D4×C11C2318yescomplemented
301C4×D4×C11C2318yescomplemented
302C4×D4×C11C2318yescomplemented
303C11×#117C2318yescomplemented
304C2×C11×C4⋊C4C2311yescharacteristic
305C2×C11×C4⋊C4C2311yescharacteristic
306C2×C11×C4⋊C4C2311yescharacteristic
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C4⋊C4C2311yescharacteristic
312C2×C11×C4⋊C4C2311yescharacteristic
313C2×C11×C4⋊C4C2311yescharacteristic
314C2×C11×C4⋊C4C2318yescomplemented
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C42×C11C2311yescharacteristic
326C2×C42×C11C2311yescharacteristic
327C2×C42×C11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335C2×C22⋊Dic11C2311yescharacteristic
336C2×C22⋊Dic11C2311yescharacteristic
337C2×C22⋊Dic11C2311yescharacteristic
338#66993C2318yes—
339#66993C2318yes—
340#66993C2318yescomplemented
341#66993C2318yescomplemented
342#66992C2318yes—
343#66992C2318yes—
344#66992C2318yes—
345#66992C2318yescomplemented
346#66992C2318yescomplemented
347#66992C2318yescomplemented
348#66992C2318yescomplemented
349#66991C2318yes—
350#66991C2318yescomplemented
351#66991C2318yescomplemented
352#66990C2318yes—
353#66990C2318yes—
354#66990C2318yes—
355#66990C2318yes—
356#66989C2318yescomplemented
357#66988C2318yes—
358#66988C2318yescomplemented
359#66988C2318yescomplemented
360#66983C2318yes—
361#66983C2318yes—
362#66983C2318yes—
363#66983C2318yescomplemented
364#66982C2318yes—
365#66982C2318yescomplemented
366#66982C2318yescomplemented
367#66982C2318yescomplemented
368#66982C2318yescomplemented
369#66982C2318yescomplemented
370C4×C22⋊D11C2318yes—
371C4×C22⋊D11C2318yescomplemented
372C4×C22⋊D11C2318yescomplemented
373C4×C22⋊D11C2318yescomplemented
374C4×C22⋊D11C2318yescomplemented
375C4×C22⋊D11C2318yescomplemented
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395C2×(C2×D11)⋊C4C2311yescharacteristic
396C2×(C2×D11)⋊C4C2311yescharacteristic
397C2×(C2×D11)⋊C4C2311yescharacteristic
398C2×(C2×D11)⋊C4C2311yescharacteristic
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2318yes—
405C2×(C2×D11)⋊C4C2318yes—
406C2×C4⋊Dic11C2311yescharacteristic
407C2×C4⋊Dic11C2311yescharacteristic
408C2×C4⋊Dic11C2311yescharacteristic
409C2×C4⋊Dic11C2311yescharacteristic
410C2×C4⋊Dic11C2311yescharacteristic
411C2×C4⋊Dic11C2311yescharacteristic
412#66977C2318yescomplemented
413#66977C2318yescomplemented
414C2×Dic11⋊C4C2311yescharacteristic
415C2×Dic11⋊C4C2311yescharacteristic
416C2×Dic11⋊C4C2311yescharacteristic
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×C4×Dic11C2311yescharacteristic
435C2×C4×Dic11C2311yescharacteristic
436C2×C4×Dic11C2311yescharacteristic
437C2×C4×Dic11C2311yescharacteristic
438C2×C4×Dic11C2311yescharacteristic
439C2×C4×Dic11C2311yescharacteristic
440C2×C4×Dic11C2311yescharacteristic
441C2×C4×Dic11C2311yescharacteristic
442C2×C4×Dic11C2311yescharacteristic
443#66951C2318yes—
444#66951C2318yes—
445#66951C2318yes—
446#66951C2318yescomplemented
447#66951C2318yescomplemented
448#66951C2318yescomplemented
449#66949C2318yes—
450#66949C2318yes—
451#66949C2318yescomplemented
452#66949C2318yescomplemented
453#66949C2318yescomplemented
454#66949C2318yescomplemented
455#66949C2318yescomplemented
456#66949C2318yescomplemented
457#66949C2318yescomplemented
458#66948C2318yes—
459#66948C2318yes—
460#66948C2318yes—
461#66948C2318yescomplemented
462#66948C2318yescomplemented
463#66947C2318yes—
464#66947C2318yes—
465#66947C2318yes—
466#66947C2318yes—
467#66947C2318yescomplemented
468#66947C2318yescomplemented
469#66947C2318yescomplemented
470#66946C2318yes—
471#66946C2318yescomplemented
472#66945C2318yes—
473C4⋊C4×D11C2318yescomplemented
474#66943C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66942C2318yescomplemented
479#66941C2318yescomplemented
480#66941C2318yescomplemented
481#66940C2318yescomplemented
482#66940C2318yescomplemented
483#66939C2318yescomplemented
484#66938C2318yes—
485#66938C2318yes—
486#66938C2318yes—
487#66938C2318yes—
488#66938C2318yes—
489#66938C2318yes—
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66937C2318yes—
493#66937C2318yes—
494#66937C2318yes—
495#66937C2318yescomplemented
496#66937C2318yescomplemented
497#66937C2318yescomplemented
498#66937C2318yescomplemented
499#66936C2318yescomplemented
500#66936C2318yescomplemented
501#66936C2318yescomplemented
502#66936C2318yescomplemented
503#66936C2318yescomplemented
504#66935C2318yes—
505#66935C2318yes—
506#66935C2318yes—
507#66935C2318yes—
508(C22⋊D11)⋊C4C2318yes—
509(C22⋊D11)⋊C4C2318yes—
510(C22⋊D11)⋊C4C2318yescomplemented
511(C22⋊D11)⋊C4C2318yescomplemented
512(C22⋊D11)⋊C4C2318yescomplemented
513(C22⋊D11)⋊C4C2318yescomplemented
514C22⋊C4×D11C2318yes—
515C22⋊C4×D11C2318yes—
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66931C2318yescomplemented
519#66931C2318yescomplemented
520#66931C2318yescomplemented
521#66930C2318yescomplemented
522#66930C2318yescomplemented
523#66929C2318yes—
524#66929C2318yes—
525#66928C2318yes—
526#66928C2318yescomplemented
527#66928C2318yescomplemented
528C4×D44C2318yescomplemented
529C4×D44C2318yescomplemented
530#66925C2318yescomplemented
531#66925C2318yescomplemented
532C42×D11C2318yescomplemented
533C4×Dic22C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3562—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C24×C11C2411yescharacteristic
540C23×D11—42no—
541C23×D11—42no—
542C23×D11—42no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11C2411yescharacteristic
547C23×D11C2411yescharacteristic
548C23×D11C2411yescharacteristic
549C23×D11C2411yescharacteristic
550C23×D11C2411yescharacteristic
551C23×D11C2414yes—
552C23×D11C2414yes—
553C2×D4×C11—42no—
554C2×D4×C11—42no—
555C2×D4×C11—42no—
556C2×D4×C11—42no—
557C2×D4×C11—42no—
558C2×D4×C11—42no—
559C2×D4×C11C2414yes—
560C2×D4×C11C2414yes—
561C2×D4×C11C2414yes—
562C2×D4×C11C2414yes—
563C2×D4×C11C2414yes—
564C2×D4×C11C2414yes—
565C22×C4×C11—42no—
566C22×C4×C11—42no—
567C22×C4×C11—42no—
568C22×C4×C11—42no—
569C22×C4×C11—42no—
570C22×C4×C11—42no—
571C22×C4×C11C2411yescharacteristic
572C22×C4×C11C2411yescharacteristic
573C22×C4×C11C2411yescharacteristic
574C22×C4×C11C2411yescharacteristic
575C22×C4×C11C2411yescharacteristic
576C22×C4×C11C2411yescharacteristic
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2414yes—
583C22×C4×C11C2414yes—
584C22×C4×C11C2414yes—
585C22×C4×C11C2414yes—
586C22×C4×C11C2414yes—
587C22×C4×C11C2414yes—
588C2×C22⋊D11—24no—
589C2×C22⋊D11—24no—
590C2×C22⋊D11—24no—
591C2×C22⋊D11—42no—
592C2×C22⋊D11—42no—
593C2×C22⋊D11—42no—
594C2×C22⋊D11—42no—
595C2×C22⋊D11—42no—
596C2×C22⋊D11—42no—
597C2×C22⋊D11—42no—
598C2×C22⋊D11—42no—
599C2×C22⋊D11—42no—
600C2×C22⋊D11—42no—
601C2×C22⋊D11—42no—
602C2×C22⋊D11—42no—
603C2×C22⋊D11—42no—
604C2×C22⋊D11C2414yes—
605C2×C22⋊D11C2414yes—
606C2×C22⋊D11C2414yes—
607C2×C22⋊D11C2414yes—
608C2×C22⋊D11C2414yes—
609C2×C22⋊D11C2414yes—
610C2×C22⋊D11C2414yes—
611C2×C22⋊D11C2414yes—
612C2×C22⋊D11C2414yes—
613C2×C22⋊D11C2414yes—
614C2×C22⋊D11C2414yes—
615C2×C22⋊D11C2414yes—
616C2×C22⋊D11C2414yes—
617C2×C22⋊D11C2414yes—
618C2×C22⋊D11C2414yes—
619C2×C22⋊D11C2414yes—
620C22×Dic11—24no—
621C22×Dic11—42no—
622C22×Dic11—42no—
623C22×Dic11—42no—
624C22×Dic11C2414yes—
625C22×Dic11C2411yescharacteristic
626C22×Dic11C2411yescharacteristic
627C22×Dic11C2411yescharacteristic
628C22×Dic11C2411yescharacteristic
629C22×Dic11C2411yescharacteristic
630C22×Dic11C2411yescharacteristic
631C22×Dic11C2411yescharacteristic
632C22×Dic11C2411yescharacteristic
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2414yes—
636C22×Dic11C2414yes—
637C22×Dic11C2414yes—
638C22×Dic11C2411yescharacteristic
639#4341—416no—
640D4×D11—416no—
641#4339—416no—
642#4339—416no—
643#4339—416no—
644C2×D44—42no—
645C2×D44—42no—
646C2×D44—42no—
647C2×D44—42no—
648C2×D44—42no—
649C2×D44—42no—
650C2×D44—42no—
651C2×D44—42no—
652C2×D44C2414yes—
653C2×D44C2414yes—
654C2×D44C2414yes—
655C2×D44C2414yes—
656C2×D44C2414yes—
657C2×D44C2414yes—
658C2×D44C2414yes—
659C2×D44C2414yes—
660C2×C4×D11—24no—
661C2×C4×D11—24no—
662C2×C4×D11—42no—
663C2×C4×D11—42no—
664C2×C4×D11—42no—
665C2×C4×D11—42no—
666C2×C4×D11—42no—
667C2×C4×D11—42no—
668C2×C4×D11—42no—
669C2×C4×D11—42no—
670C2×C4×D11—42no—
671C2×C4×D11C2414yes—
672C2×C4×D11C2414yes—
673C2×C4×D11C2414yes—
674C2×C4×D11C2414yes—
675C2×C4×D11C2414yes—
676C2×C4×D11C2414yes—
677C2×C4×D11C2414yes—
678C2×C4×D11C2414yes—
679C2×C4×D11C2414yes—
680C2×C4×D11C2414yes—
681C2×C4×D11C2414yes—
682C2×Dic22—24no—
683C2×Dic22—24no—
684C2×Dic22—24no—
685C2×Dic22—42no—
686C2×Dic22—42no—
687C2×Dic22—42no—
688C2×Dic22—416no—
689C2×Dic22C2414yes—
690C2×Dic22C2414yes—
691C2×Dic22C2414yes—
692C2×Dic22C2414yes—
693C2×Dic22C2414yes—
694C2×Dic22C2414yes—
695C11×C4⋊C4C2414yes—
696C11×C4⋊C4C2414yes—
697C11×C4⋊C4C2414yes—
698C11×C4⋊C4C2414yes—
699C11×C4⋊C4C2414yes—
700C11×C4⋊C4C2414yes—
701C11×C4⋊C4C2414yes—
702C11×C4⋊C4C2414yes—
703C11×C4⋊C4C2414yes—
704C11×C4⋊C4C2414yes—
705C11×C22⋊C4C2414yes—
706C11×C22⋊C4C2414yes—
707C11×C22⋊C4C2414yes—
708C11×C22⋊C4C2414yes—
709C11×C22⋊C4C2414yes—
710C11×C22⋊C4C2414yes—
711C11×C22⋊C4C2414yes—
712C11×C22⋊C4C2414yes—
713C11×C22⋊C4C2414yes—
714C11×C22⋊C4C2414yes—
715C42×C11C2414yes—
716C42×C11C2414yes—
717C42×C11C2414yes—
718C22⋊Dic11C2414yes—
719C22⋊Dic11C2414yes—
720C22⋊Dic11C2414yes—
721C22⋊Dic11C2414yes—
722C22⋊Dic11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
725C22⋊Dic11C2414yes—
726C22⋊Dic11C2414yes—
727C22⋊Dic11C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732(C2×D11)⋊C4C2414yes—
733(C2×D11)⋊C4C2414yes—
734(C2×D11)⋊C4C2414yes—
735(C2×D11)⋊C4C2414yes—
736(C2×D11)⋊C4C2414yes—
737(C2×D11)⋊C4C2414yes—
738(C2×D11)⋊C4C2414yes—
739(C2×D11)⋊C4C2414yes—
740(C2×D11)⋊C4C2414yes—
741(C2×D11)⋊C4C2414yes—
742(C2×D11)⋊C4C2414yes—
743(C2×D11)⋊C4C2414yes—
744(C2×D11)⋊C4C2414yes—
745(C2×D11)⋊C4C2414yes—
746(C2×D11)⋊C4C2414yes—
747(C2×D11)⋊C4C2414yes—
748(C2×D11)⋊C4C2414yes—
749(C2×D11)⋊C4C2414yes—
750(C2×D11)⋊C4C2414yes—
751(C2×D11)⋊C4C2414yes—
752(C2×D11)⋊C4C2414yes—
753(C2×D11)⋊C4C2414yes—
754(C2×D11)⋊C4C2414yes—
755(C2×D11)⋊C4C2414yes—
756C4⋊Dic11C2414yes—
757C4⋊Dic11C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760C4⋊Dic11C2414yes—
761C4⋊Dic11C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782C4×Dic11C2414yes—
783C4×Dic11C2414yes—
784C4×Dic11C2414yes—
785C4×Dic11C2414yes—
786C4×Dic11C2414yes—
787C4×Dic11C2414yes—
788C4×Dic11C2414yes—
789C4×Dic11C2414yes—
790C4×Dic11C2414yes—
791#3562—1132no—
792C2×#562—111no—
793C2×#562—111no—
794C2×#560—111no—
795C2×#560—111no—
796C2×#559—111no—
797C2×#556—111no—
798C2×#553—111no—
799C2×#553D1111yescharacteristic, complemented
800C2×#551—111no—
801C2×#551—111no—
802C2×#550—111no—
803C2×#548—111no—
804C2×#548—111no—
805C2×#547—111no—
806C2×#546—111no—
807C2×#546—111no—
808C2×#541—111no—
809C2×#540—111no—
810C2×#540—111no—
811C2×#540—111no—
812C2×#539—111no—
813C2×#539—111no—
814C2×#538—111no—
815C2×#538—111no—
816C2×#538—111no—
817C2×#538—111no—
818C2×#536—111no—
819C2×#535—111no—
820C2×#532—111no—
821C2×#529—111no—
822C2×#529—111no—
823C23×C11—22no—
824C23×C11—22no—
825C23×C11—22no—
826C23×C11—22no—
827C23×C11—22no—
828C23×C11—22no—
829C23×C11—22no—
830C23×C11—22no—
831C23×C11—22no—
832C23×C11—22no—
833C23×C11—22no—
834C23×C11—22no—
835C23×C11C2512yes—
836C23×C11C2512yes—
837C23×C11C2512yes—
838C23×C11C2512yes—
839C23×C11C2511yescharacteristic
840C22×D11—22no—
841C22×D11—22no—
842C22×D11—22no—
843C22×D11—22no—
844C22×D11—22no—
845C22×D11—22no—
846C22×D11—22no—
847C22×D11—22no—
848C22×D11—22no—
849C22×D11—22no—
850C22×D11—22no—
851C22×D11—22no—
852C22×D11—22no—
853C22×D11—22no—
854C22×D11—22no—
855C22×D11—44no—
856C22×D11—44no—
857C22×D11—44no—
858C22×D11—44no—
859C22×D11—44no—
860C22×D11—44no—
861C22×D11—88no—
862C22×D11—88no—
863C22×D11C2512yes—
864C22×D11C2512yes—
865C22×D11C2512yes—
866C22×D11C2512yes—
867C22×D11C2512yes—
868D4×C11—44no—
869D4×C11—44no—
870D4×C11—44no—
871D4×C11—44no—
872D4×C11—44no—
873D4×C11—44no—
874C2×C4×C11—22no—
875C2×C4×C11—22no—
876C2×C4×C11—22no—
877C2×C4×C11—22no—
878C2×C4×C11—22no—
879C2×C4×C11—22no—
880C2×C4×C11—22no—
881C2×C4×C11—22no—
882C2×C4×C11—22no—
883C2×C4×C11—22no—
884C2×C4×C11—22no—
885C2×C4×C11—44no—
886C2×C4×C11—44no—
887C2×C4×C11—44no—
888C2×C4×C11—44no—
889C2×C4×C11—44no—
890C2×C4×C11—44no—
891C2×C4×C11C2512yes—
892C2×C4×C11C2512yes—
893C2×C4×C11C2512yes—
894C2×C4×C11C2512yes—
895C2×C4×C11C2512yes—
896C2×C4×C11C2512yes—
897C2×C4×C11C2512yes—
898C2×C4×C11C2512yes—
899C2×C4×C11C2512yes—
900C2×C4×C11C2512yes—
901C2×C4×C11C2512yes—
902C22⋊D11—28no—
903C22⋊D11—28no—
904C22⋊D11—28no—
905C22⋊D11—44no—
906C22⋊D11—44no—
907C22⋊D11—44no—
908C22⋊D11—44no—
909C22⋊D11—44no—
910C22⋊D11—44no—
911C22⋊D11—44no—
912C22⋊D11—44no—
913C22⋊D11—44no—
914C22⋊D11—44no—
915C22⋊D11—44no—
916C22⋊D11—44no—
917C22⋊D11—44no—
918C2×Dic11—22no—
919C2×Dic11—22no—
920C2×Dic11—22no—
921C2×Dic11—22no—
922C2×Dic11—22no—
923C2×Dic11—22no—
924C2×Dic11—22no—
925C2×Dic11—22no—
926C2×Dic11—22no—
927C2×Dic11—22no—
928C2×Dic11—28no—
929C2×Dic11—44no—
930C2×Dic11—44no—
931C2×Dic11—44no—
932C2×Dic11H(5,𝔽2)14yes—
933C2×Dic11C2512yes—
934C2×Dic11C2512yes—
935C2×Dic11C2512yes—
936C2×Dic11C2512yes—
937C2×Dic11C2512yes—
938C2×Dic11C2512yes—
939C2×Dic11C2512yes—
940C2×Dic11C2512yes—
941C2×Dic11C2512yes—
942C2×Dic11C2512yes—
943C2×Dic11C2512yes—
944D44—44no—
945D44—44no—
946D44—44no—
947D44—44no—
948D44—44no—
949D44—44no—
950D44—44no—
951D44—44no—
952C4×D11—28no—
953C4×D11—28no—
954C4×D11—44no—
955C4×D11—44no—
956C4×D11—44no—
957C4×D11—44no—
958C4×D11—44no—
959C4×D11—44no—
960C4×D11—44no—
961C4×D11—44no—
962C4×D11—44no—
963Dic22—28no—
964Dic22—28no—
965Dic22—28no—
966Dic22—44no—
967Dic22—44no—
968Dic22—44no—
969C22×#41—111no—
970C22×#41—111no—
971C22×#41—111no—
972C22×#41—111no—
973C23×Q8—111no—
974C23×D4—111no—
975#562—1116no—
976#562—1116no—
977#560—1116no—
978#560—1116no—
979#559—1116no—
980#556—1116no—
981#553—1116no—
982#553C2×D11116yescomplemented
983#551—1116no—
984#551—1116no—
985#550—1116no—
986#548—1116no—
987#548—1116no—
988#547—1116no—
989#546—1116no—
990#546—1116no—
991#541—1116no—
992#540—1116no—
993#540—1116no—
994#540—1116no—
995#539—1116no—
996#539—1116no—
997#538—1116no—
998#538—1116no—
999#538—1116no—
1000#538—1116no—
1001#536—1116no—
1002#535—1116no—
1003#532—1116no—
1004C2×C4⋊Q8—111no—
1005C2×C4⋊Q8—111no—
1006C2×#127—111no—
1007C2×#127—111no—
1008C2×#127—111no—
1009C2×#127—111no—
1010#529—1116no—
1011#529—1116no—
1012C2×#126—111no—
1013C2×#126—111no—
1014C2×#126—111no—
1015C2×#126—111no—
1016C2×#126—111no—
1017C2×#126—111no—
1018C2×#126—111no—
1019C2×#126—111no—
1020C2×#126—111no—
1021C2×#126—111no—
1022C2×#126C2×D1111yescharacteristic, complemented
1023C2×#126C2×D1111yescharacteristic, complemented
1024C2×#125—111no—
1025C2×#125—111no—
1026C2×#125—111no—
1027C2×#125—111no—
1028C2×#125—111no—
1029C2×#125C2×D1111yescharacteristic, complemented
1030C2×#124—111no—
1031C2×#124—111no—
1032C2×#124—111no—
1033C2×#124—111no—
1034C2×#124—111no—
1035C2×#124—111no—
1036C2×#124—111no—
1037C2×#124—111no—
1038C2×#124—111no—
1039C2×#124—111no—
1040C2×#124—111no—
1041C2×#124—111no—
1042C2×#123—111no—
1043C2×#123—111no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—111no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—111no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123C2×D1111yescharacteristic
1065C2×#123C2×D1111yescharacteristic, complemented
1066C2×C22⋊Q8—111no—
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8—111no—
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#121—111no—
1091C2×#121—111no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121—111no—
1099C2×#121—111no—
1100C2×#121—111no—
1101C2×#121—111no—
1102C2×#121—111no—
1103C2×#121—111no—
1104C2×#121—111no—
1105C2×#121—111no—
1106C2×#121C2×D1111yescharacteristic
1107C2×#121C2×D1111yescharacteristic
1108C2×#121C2×D1111yescharacteristic, complemented
1109C2×#121C2×D1111yescharacteristic, complemented
1110C2×#120—111no—
1111C2×#120—111no—
1112C2×#120—111no—
1113C2×#120—111no—
1114C2×#120—111no—
1115C2×#120—111no—
1116C2×#120—111no—
1117C2×#120—111no—
1118C2×C4×Q8—111no—
1119C2×C4×Q8—111no—
1120C2×C4×Q8—111no—
1121C2×C4×Q8—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—111no—
1130C2×C4×D4—111no—
1131C2×C4×D4—111no—
1132C2×C4×D4—111no—
1133C2×C4×D4—111no—
1134C2×C4×D4—111no—
1135C2×C4×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4—111no—
1138C2×C4×D4C2×D1111yescharacteristic, complemented
1139C2×C4×D4C2×D1111yescharacteristic, complemented
1140C2×C4×D4C2×D1111yescharacteristic, complemented
1141C2×C4×D4C2×D1111yescharacteristic, complemented
1142C2×#117—111no—
1143C2×#117—111no—
1144C2×#117—111no—
1145C2×#117—111no—
1146C2×#117—111no—
1147C2×#117C2×D1111yescharacteristic, complemented
1148C22×C4⋊C4—111no—
1149C22×C4⋊C4C2×D1111yescharacteristic, complemented
1150C22×C22⋊C4—111no—
1151C22×C22⋊C4—111no—
1152C22×C22⋊C4—111no—
1153C22×C22⋊C4—111no—
1154C22×C42—111no—
1155C22×C11—22no—
1156C22×C11—22no—
1157C22×C11—22no—
1158C22×C11—22no—
1159C22×C11—22no—
1160C22×C11—22no—
1161C22×C11—22no—
1162C22×C11—22no—
1163C22×C11—22no—
1164C22×C11—22no—
1165C22×C11—22no—
1166C22×C11—22no—
1167C22×C11—44no—
1168C22×C11—44no—
1169C22×C11—44no—
1170C22×C11—44no—
1171C22×C11C2×H(5,𝔽2)12yes—
1172C22×C11#58512yes—
1173C22×C11#58512yes—
1174C22×C11C2611yescharacteristic
1175C2×D11—22no—
1176C2×D11—22no—
1177C2×D11—22no—
1178C2×D11—22no—
1179C2×D11—22no—
1180C2×D11—22no—
1181C2×D11—22no—
1182C2×D11—22no—
1183C2×D11—22no—
1184C2×D11—22no—
1185C2×D11—22no—
1186C2×D11—22no—
1187C2×D11—22no—
1188C2×D11—22no—
1189C2×D11—22no—
1190C2×D11—44no—
1191C2×D11—44no—
1192C2×D11—44no—
1193C2×D11—44no—
1194C2×D11—44no—
1195C2×D11—88no—
1196C2×D11—88no—
1197C4×C11—22no—
1198C4×C11—22no—
1199C4×C11—22no—
1200C4×C11—22no—
1201C4×C11—22no—
1202C4×C11—22no—
1203C4×C11—22no—
1204C4×C11—22no—
1205C4×C11—22no—
1206C4×C11—22no—
1207C4×C11—22no—
1208Dic11—22no—
1209Dic11—22no—
1210Dic11—22no—
1211Dic11—22no—
1212Dic11—22no—
1213Dic11—22no—
1214Dic11—22no—
1215Dic11—22no—
1216Dic11—22no—
1217Dic11—22no—
1218Dic11C2×H(5,𝔽2)14yes—
1219C25—111no—
1220C25—111no—
1221C2×#41—118no—
1222C2×#41—118no—
1223C2×#41—118no—
1224C2×#41—118no—
1225C2×#41—444no—
1226C2×#41—444no—
1227C2×#41—444no—
1228C2×#41—444no—
1229C22×Q8—111no—
1230C22×Q8—111no—
1231C22×Q8—111no—
1232C22×Q8—111no—
1233C22×Q8—111no—
1234C22×Q8—111no—
1235C22×Q8—118no—
1236C22×Q8—444no—
1237C22×D4—111no—
1238C22×D4—111no—
1239C22×D4—111no—
1240C22×D4—111no—
1241C22×D4—111no—
1242C22×D4—111no—
1243C22×D4—111no—
1244C22×D4—111no—
1245C22×D4—111no—
1246C22×D4—111no—
1247C22×D4—111no—
1248C22×D4—111no—
1249C22×D4—111no—
1250C22×D4—111no—
1251C22×D4—111no—
1252C22×D4—111no—
1253C22×D4—118no—
1254C22×D4—111no—
1255C22×D4—111no—
1256C22×D4—111no—
1257C22×D4—111no—
1258C22×D4—111no—
1259C22×D4—111no—
1260C22×D4—111no—
1261C22×D4—111no—
1262C22×D4—444no—
1263C22×D4C22×D1111yescharacteristic
1264C22×D4C22×D1111yescharacteristic
1265C22×D4C22×D1111yescharacteristic
1266C22×D4C22×D1111yescharacteristic
1267C22×D4C22×D1111yescharacteristic
1268C22×D4C22×D1111yescharacteristic
1269C23×C4—111no—
1270C23×C4—111no—
1271C23×C4—111no—
1272C23×C4—111no—
1273C23×C4—111no—
1274C23×C4—111no—
1275C23×C4—111no—
1276C23×C4—111no—
1277C23×C4—111no—
1278C23×C4—111no—
1279C23×C4—111no—
1280C23×C4—111no—
1281C23×C4—111no—
1282C23×C4—111no—
1283C23×C4—111no—
1284C23×C4C22×D1111yescharacteristic
1285C23×C4C22×D1111yescharacteristic
1286C23×C4C22×D1111yescharacteristic
1287C23×C4C22×D1111yescharacteristic
1288C23×C4C22×D1111yescharacteristic
1289C23×C4C22×D1111yescharacteristic
1290C4⋊Q8—118no—
1291C4⋊Q8—118no—
1292#127—118no—
1293#127—118no—
1294#127—118no—
1295#127—118no—
1296#126—118no—
1297#126—118no—
1298#126—118no—
1299#126—118no—
1300#126—118no—
1301#126—118no—
1302#126—118no—
1303#126—118no—
1304#126—118no—
1305#126—118no—
1306#126C22×D1118yescomplemented
1307#126C22×D1118yescomplemented
1308#125—118no—
1309#125—118no—
1310#125—118no—
1311#125—118no—
1312#125—118no—
1313#125C22×D1118yescomplemented
1314#124—118no—
1315#124—118no—
1316#124—118no—
1317#124—118no—
1318#124—118no—
1319#124—118no—
1320#124—118no—
1321#124—118no—
1322#124—118no—
1323#124—118no—
1324#124—118no—
1325#124—118no—
1326#123—118no—
1327#123—118no—
1328#123—118no—
1329#123—118no—
1330#123—118no—
1331#123—118no—
1332#123—118no—
1333#123—118no—
1334#123—118no—
1335#123—118no—
1336#123—118no—
1337#123—118no—
1338#123—118no—
1339#123—118no—
1340#123—118no—
1341#123—118no—
1342#123—118no—
1343#123—118no—
1344#123—118no—
1345#123—118no—
1346#123—118no—
1347#123—118no—
1348#123C22×D1118yes—
1349#123C22×D1118yescomplemented
1350C22⋊Q8—118no—
1351C22⋊Q8—118no—
1352C22⋊Q8—118no—
1353C22⋊Q8—118no—
1354C22⋊Q8—118no—
1355C22⋊Q8—118no—
1356C22⋊Q8—118no—
1357C22⋊Q8—118no—
1358C22⋊Q8—118no—
1359C22⋊Q8—118no—
1360C22⋊Q8—118no—
1361C22⋊Q8—118no—
1362C22⋊Q8—118no—
1363C22⋊Q8—118no—
1364#121—118no—
1365#121—118no—
1366#121—118no—
1367#121—118no—
1368#121—118no—
1369#121—118no—
1370#121—118no—
1371#121—118no—
1372#121—118no—
1373#121—118no—
1374#121—118no—
1375#121—118no—
1376#121—118no—
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121C22×D1118yes—
1391#121C22×D1118yes—
1392#121C22×D1118yescomplemented
1393#121C22×D1118yescomplemented
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120—118no—
1401#120—118no—
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×Q8—118no—
1405C4×Q8—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4—118no—
1421C4×D4—118no—
1422C4×D4C22×D1118yescomplemented
1423C4×D4C22×D1118yescomplemented
1424C4×D4C22×D1118yescomplemented
1425C4×D4C22×D1118yescomplemented
1426#117—118no—
1427#117—118no—
1428#117—118no—
1429#117—118no—
1430#117—118no—
1431#117C22×D1118yescomplemented
1432C2×C4⋊C4—111no—
1433C2×C4⋊C4—111no—
1434C2×C4⋊C4—111no—
1435C2×C4⋊C4—111no—
1436C2×C4⋊C4—111no—
1437C2×C4⋊C4—111no—
1438C2×C4⋊C4—111no—
1439C2×C4⋊C4—111no—
1440C2×C4⋊C4—111no—
1441C2×C4⋊C4—111no—
1442C2×C4⋊C4—111no—
1443C2×C4⋊C4—111no—
1444C2×C4⋊C4—111no—
1445C2×C4⋊C4—111no—
1446C2×C4⋊C4—111no—
1447C2×C4⋊C4—111no—
1448C2×C4⋊C4—111no—
1449C2×C4⋊C4—111no—
1450C2×C4⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—111no—
1456C2×C4⋊C4—111no—
1457C2×C4⋊C4—111no—
1458C2×C4⋊C4—118no—
1459C2×C4⋊C4C22×D1111yescharacteristic
1460C2×C4⋊C4C22×D1111yescharacteristic
1461C2×C4⋊C4C22×D1111yescharacteristic
1462C2×C4⋊C4C22×D1111yescharacteristic
1463C2×C4⋊C4C22×D1111yescharacteristic
1464C2×C4⋊C4C22×D1111yescharacteristic
1465C2×C4⋊C4C22×D1111yescharacteristic
1466C2×C4⋊C4C22×D1111yescharacteristic
1467C2×C4⋊C4C22×D1111yescharacteristic
1468C2×C4⋊C4C22×D1111yescharacteristic
1469C2×C4⋊C4C22×D1118yescomplemented
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—111no—
1479C2×C22⋊C4—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—111no—
1484C2×C22⋊C4—111no—
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—111no—
1490C2×C22⋊C4—118no—
1491C2×C22⋊C4—118no—
1492C2×C22⋊C4—111no—
1493C2×C22⋊C4—111no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—111no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—111no—
1499C2×C22⋊C4—111no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—111no—
1505C2×C22⋊C4—111no—
1506C2×C22⋊C4—111no—
1507C2×C22⋊C4—111no—
1508C2×C22⋊C4—111no—
1509C2×C22⋊C4—111no—
1510C2×C22⋊C4—118no—
1511C2×C22⋊C4—118no—
1512C2×C22⋊C4C22×D1111yescharacteristic
1513C2×C22⋊C4C22×D1111yescharacteristic
1514C2×C22⋊C4C22×D1111yescharacteristic
1515C2×C22⋊C4C22×D1111yescharacteristic
1516C2×C22⋊C4C22×D1111yescharacteristic
1517C2×C22⋊C4C22×D1111yescharacteristic
1518C2×C22⋊C4C22×D1111yescharacteristic
1519C2×C22⋊C4C22×D1111yescharacteristic
1520C2×C22⋊C4C22×D1111yescharacteristic
1521C2×C22⋊C4C22×D1111yescharacteristic
1522C2×C42—111no—
1523C2×C42—111no—
1524C2×C42—111no—
1525C2×C42—111no—
1526C2×C42—111no—
1527C2×C42—111no—
1528C2×C42—111no—
1529C2×C42—111no—
1530C2×C42—111no—
1531C2×C42—118no—
1532C2×C42C22×D1111yescharacteristic
1533C2×C42C22×D1111yescharacteristic
1534C2×C42C22×D1111yescharacteristic
1535C2×C11—42no—
1536C2×C11—42no—
1537C2×C11—42no—
1538C2×C11—42no—
1539C2×C11#356214yescomplemented
1540C2×C11C22×H(5,𝔽2)11yescharacteristic
1541C2×C11C2×#58511yescharacteristic
1542C2×C11C2×#58511yescharacteristic
1543D11—42no—
1544D11—42no—
1545D11—42no—
1546D11—42no—
1547D11—42no—
1548C24—111no—
1549C24—111no—
1550C24—111no—
1551C24—111no—
1552C24—111no—
1553C24—114no—
1554C24—114no—
1555C24—442no—
1556C24—442no—
1557C24—442no—
1558C24—442no—
1559C24—442no—
1560C24—442no—
1561C24C23×D1111yescharacteristic
1562C24C23×D1111yescharacteristic
1563C24C23×D1111yescharacteristic
1564C24C23×D1111yescharacteristic
1565#41—4416no—
1566#41—4416no—
1567#41—4416no—
1568#41—4416no—
1569C2×Q8—114no—
1570C2×Q8—114no—
1571C2×Q8—114no—
1572C2×Q8—114no—
1573C2×Q8—114no—
1574C2×Q8—114no—
1575C2×Q8—224no—
1576C2×Q8—224no—
1577C2×Q8—224no—
1578C2×Q8—442no—
1579C2×Q8—442no—
1580C2×Q8—442no—
1581C2×Q8—4416no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—114no—
1589C2×D4—114no—
1590C2×D4—114no—
1591C2×D4—114no—
1592C2×D4—114no—
1593C2×D4—114no—
1594C2×D4—114no—
1595C2×D4—114no—
1596C2×D4—114no—
1597C2×D4—114no—
1598C2×D4—114no—
1599C2×D4—114no—
1600C2×D4—114no—
1601C2×D4—114no—
1602C2×D4—114no—
1603C2×D4—114no—
1604C2×D4—114no—
1605C2×D4—114no—
1606C2×D4—114no—
1607C2×D4—114no—
1608C2×D4—114no—
1609C2×D4—114no—
1610C2×D4—114no—
1611C2×D4—114no—
1612C2×D4—224no—
1613C2×D4—224no—
1614C2×D4—224no—
1615C2×D4—442no—
1616C2×D4—442no—
1617C2×D4—442no—
1618C2×D4—442no—
1619C2×D4—442no—
1620C2×D4—442no—
1621C2×D4—442no—
1622C2×D4—442no—
1623C2×D4—4416no—
1624C2×D4—442no—
1625C2×D4—442no—
1626C2×D4—442no—
1627C2×D4—442no—
1628C2×D4—442no—
1629C2×D4—442no—
1630C2×D4—442no—
1631C2×D4—442no—
1632C2×D4—442no—
1633C2×D4—442no—
1634C2×D4—442no—
1635C2×D4—442no—
1636C2×D4—442no—
1637C2×D4C23×D1114yes—
1638C2×D4C23×D1114yes—
1639C2×D4C23×D1114yes—
1640C2×D4C23×D1114yes—
1641C2×D4C23×D1114yes—
1642C2×D4C23×D1114yes—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—111no—
1650C22×C4—114no—
1651C22×C4—111no—
1652C22×C4—111no—
1653C22×C4—111no—
1654C22×C4—111no—
1655C22×C4—111no—
1656C22×C4—111no—
1657C22×C4—111no—
1658C22×C4—111no—
1659C22×C4—111no—
1660C22×C4—111no—
1661C22×C4—114no—
1662C22×C4—114no—
1663C22×C4—114no—
1664C22×C4—114no—
1665C22×C4—114no—
1666C22×C4—114no—
1667C22×C4—114no—
1668C22×C4—114no—
1669C22×C4—114no—
1670C22×C4—114no—
1671C22×C4—114no—
1672C22×C4—114no—
1673C22×C4—114no—
1674C22×C4—114no—
1675C22×C4—224no—
1676C22×C4—224no—
1677C22×C4—224no—
1678C22×C4—442no—
1679C22×C4—442no—
1680C22×C4—442no—
1681C22×C4—442no—
1682C22×C4—442no—
1683C22×C4—442no—
1684C22×C4—442no—
1685C22×C4—442no—
1686C22×C4—442no—
1687C22×C4—442no—
1688C22×C4—442no—
1689C22×C4—442no—
1690C22×C4C23×D1111yescharacteristic
1691C22×C4C23×D1111yescharacteristic
1692C22×C4C23×D1111yescharacteristic
1693C22×C4C23×D1111yescharacteristic
1694C22×C4C23×D1111yescharacteristic
1695C22×C4C23×D1111yescharacteristic
1696C22×C4C23×D1111yescharacteristic
1697C22×C4C23×D1111yescharacteristic
1698C22×C4C23×D1111yescharacteristic
1699C22×C4C23×D1111yescharacteristic
1700C22×C4C23×D1111yescharacteristic
1701C22×C4C23×D1114yes—
1702C22×C4C23×D1114yes—
1703C22×C4C23×D1114yes—
1704C22×C4C23×D1114yes—
1705C22×C4C23×D1114yes—
1706C22×C4C23×D1114yes—
1707C4⋊C4—114no—
1708C4⋊C4—114no—
1709C4⋊C4—114no—
1710C4⋊C4—114no—
1711C4⋊C4—114no—
1712C4⋊C4—114no—
1713C4⋊C4—114no—
1714C4⋊C4—114no—
1715C4⋊C4—114no—
1716C4⋊C4—114no—
1717C4⋊C4—114no—
1718C4⋊C4—114no—
1719C4⋊C4—114no—
1720C4⋊C4—114no—
1721C4⋊C4—114no—
1722C4⋊C4—114no—
1723C4⋊C4—114no—
1724C4⋊C4—114no—
1725C4⋊C4—114no—
1726C4⋊C4—114no—
1727C4⋊C4—114no—
1728C4⋊C4—114no—
1729C4⋊C4—114no—
1730C4⋊C4—114no—
1731C4⋊C4—114no—
1732C4⋊C4—114no—
1733C4⋊C4C23×D1114yes—
1734C4⋊C4C23×D1114yes—
1735C4⋊C4C23×D1114yes—
1736C4⋊C4C23×D1114yes—
1737C4⋊C4C23×D1114yes—
1738C4⋊C4C23×D1114yes—
1739C4⋊C4C23×D1114yes—
1740C4⋊C4C23×D1114yes—
1741C4⋊C4C23×D1114yes—
1742C4⋊C4C23×D1114yes—
1743C22⋊C4—114no—
1744C22⋊C4—114no—
1745C22⋊C4—114no—
1746C22⋊C4—114no—
1747C22⋊C4—114no—
1748C22⋊C4—114no—
1749C22⋊C4—114no—
1750C22⋊C4—114no—
1751C22⋊C4—114no—
1752C22⋊C4—114no—
1753C22⋊C4—114no—
1754C22⋊C4—114no—
1755C22⋊C4—114no—
1756C22⋊C4—114no—
1757C22⋊C4—114no—
1758C22⋊C4—114no—
1759C22⋊C4—114no—
1760C22⋊C4—114no—
1761C22⋊C4—114no—
1762C22⋊C4—114no—
1763C22⋊C4—114no—
1764C22⋊C4—114no—
1765C22⋊C4—114no—
1766C22⋊C4—114no—
1767C22⋊C4—114no—
1768C22⋊C4—114no—
1769C22⋊C4—114no—
1770C22⋊C4—114no—
1771C22⋊C4—114no—
1772C22⋊C4—114no—
1773C22⋊C4—114no—
1774C22⋊C4—114no—
1775C22⋊C4—114no—
1776C22⋊C4—114no—
1777C22⋊C4—114no—
1778C22⋊C4—114no—
1779C22⋊C4—114no—
1780C22⋊C4—114no—
1781C22⋊C4C23×D1114yes—
1782C22⋊C4C23×D1114yes—
1783C22⋊C4C23×D1114yes—
1784C22⋊C4C23×D1114yes—
1785C22⋊C4C23×D1114yes—
1786C22⋊C4C23×D1114yes—
1787C22⋊C4C23×D1114yes—
1788C22⋊C4C23×D1114yes—
1789C22⋊C4C23×D1114yes—
1790C22⋊C4C23×D1114yes—
1791C42—114no—
1792C42—114no—
1793C42—114no—
1794C42—114no—
1795C42—114no—
1796C42—114no—
1797C42—114no—
1798C42—114no—
1799C42—114no—
1800C42C23×D1114yes—
1801C42C23×D1114yes—
1802C42C23×D1114yes—
1803C11C2×#356211yescharacteristic, complemented, Sylow
1804C23—22no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—112no—
1817C23—112no—
1818C23—112no—
1819C23—112no—
1820C23—112no—
1821C23—222no—
1822C23—222no—
1823C23—222no—
1824C23—222no—
1825C23—222no—
1826C23—222no—
1827C23—222no—
1828C23—222no—
1829C23—222no—
1830C23—222no—
1831C23—222no—
1832C23—222no—
1833C23—222no—
1834C23—222no—
1835C23—222no—
1836C23—444no—
1837C23—444no—
1838C23—444no—
1839C23—444no—
1840C23—444no—
1841C23—444no—
1842C23—888no—
1843C23—888no—
1844C23C24×D1112yes—
1845C23C24×D1112yes—
1846C23C24×D1112yes—
1847C23C24×D1112yes—
1848C23C24×D1111yescharacteristic
1849Q8—228no—
1850Q8—228no—
1851Q8—228no—
1852Q8—444no—
1853Q8—444no—
1854Q8—444no—
1855D4—44no—
1856D4—44no—
1857D4—44no—
1858D4—44no—
1859D4—44no—
1860D4—44no—
1861D4—228no—
1862D4—228no—
1863D4—228no—
1864D4—444no—
1865D4—444no—
1866D4—444no—
1867D4—444no—
1868D4—444no—
1869D4—444no—
1870D4—444no—
1871D4—444no—
1872D4—444no—
1873D4—444no—
1874D4—444no—
1875D4—444no—
1876D4—444no—
1877D4—444no—
1878D4—444no—
1879D4—444no—
1880D4—444no—
1881D4—444no—
1882D4—444no—
1883D4—444no—
1884D4—444no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—44no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—114no—
1903C2×C4—112no—
1904C2×C4—112no—
1905C2×C4—112no—
1906C2×C4—112no—
1907C2×C4—112no—
1908C2×C4—112no—
1909C2×C4—112no—
1910C2×C4—112no—
1911C2×C4—112no—
1912C2×C4—112no—
1913C2×C4—112no—
1914C2×C4—228no—
1915C2×C4—228no—
1916C2×C4—228no—
1917C2×C4—222no—
1918C2×C4—222no—
1919C2×C4—222no—
1920C2×C4—222no—
1921C2×C4—222no—
1922C2×C4—222no—
1923C2×C4—222no—
1924C2×C4—222no—
1925C2×C4—222no—
1926C2×C4—222no—
1927C2×C4—444no—
1928C2×C4—444no—
1929C2×C4—444no—
1930C2×C4—444no—
1931C2×C4—444no—
1932C2×C4—444no—
1933C2×C4—444no—
1934C2×C4—444no—
1935C2×C4—444no—
1936C2×C4—444no—
1937C2×C4—444no—
1938C2×C4—444no—
1939C2×C4C24×D1112yes—
1940C2×C4C24×D1112yes—
1941C2×C4C24×D1112yes—
1942C2×C4C24×D1112yes—
1943C2×C4C24×D1112yes—
1944C2×C4C24×D1112yes—
1945C2×C4C24×D1112yes—
1946C2×C4C24×D1112yes—
1947C2×C4C24×D1112yes—
1948C2×C4C24×D1112yes—
1949C2×C4C24×D1112yes—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—44no—
1966C22—222no—
1967C22—222no—
1968C22—222no—
1969C22—222no—
1970C22—222no—
1971C22—222no—
1972C22—222no—
1973C22—222no—
1974C22—222no—
1975C22—222no—
1976C22—222no—
1977C22—222no—
1978C22—222no—
1979C22—222no—
1980C22—222no—
1981C22—444no—
1982C22—444no—
1983C22—444no—
1984C22—444no—
1985C22—444no—
1986C22—888no—
1987C22—888no—
1988C22#1062345312yes—
1989C22#1062345312yes—
1990C22D11×H(5,𝔽2)12yes—
1991C22C25×D1111yescharacteristic
1992C4—22no—
1993C4—22no—
1994C4—22no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—114no—
2004C4—222no—
2005C4—222no—
2006C4—222no—
2007C4—222no—
2008C4—222no—
2009C4—222no—
2010C4—222no—
2011C4—222no—
2012C4—222no—
2013C4—222no—
2014C2—42no—
2015C2—42no—
2016C2—42no—
2017C2—42no—
2018C2—442no—
2019C2—442no—
2020C2—442no—
2021C2—442no—
2022C2—442no—
2023C2#1308318914yesdirect product factor
2024C2C2×D11×H(5,𝔽2)11yescharacteristic
2025C2C2×#1062345311yescharacteristic
2026C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#553C2
socleC23×C11C25
hypercenterC2×#553D11
hypocenterC11C2×#3562
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #13083189C2direct (N × H)
2. C2×#10623231C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623197C2semidirect
5. C2×#10623151C2semidirect
6. C2×#10623090C2semidirect
7. C2×#10623233C2semidirect
8. C2×#10623240C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623058C2semidirect
11. C2×#10623130C2semidirect
12. C2×#10623083C2semidirect
13. C2×#10623083C2semidirect
14. C2×#10623038C2semidirect
15. C2×#10623185C2semidirect
16. C2×#10623141C2semidirect
17. C2×#10623227C2semidirect
18. C2×#10623093C2semidirect
19. C2×#10623146C2semidirect
20. C2×#10623146C2semidirect
21. C2×#10623046C2semidirect
22. C2×#10623191C2semidirect
23. C2×#10623235C2semidirect
24. C2×#10623091C2semidirect
25. C2×#10623091C2semidirect
26. C2×#10623144C2semidirect
27. C2×#10623179C2semidirect
28. C2×#10623138C2semidirect
29. C2×#10623079C2semidirect
30. C2×#10623237C2semidirect
31. C2×#10623059C2semidirect
32. C2×C11×#553C2semidirect
37. C22×#4339C22semidirect
38. C23×Dic22C22semidirect
39. C11×#553C22semidirect
40. C2×C11×#126C22semidirect
41. C2×C11×#126C22semidirect
42. C2×C11×#125C22semidirect
44. C2×C11×#123C22semidirect
47. C2×C11×#121C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C4×D4×C11C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C2×C4×D4×C11C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C11×#117C22semidirect
54. C22×C11×C4⋊C4C22semidirect
57. C2×#66993C22semidirect
58. C2×#66993C22semidirect
62. C2×#66992C22semidirect
63. C2×#66992C22semidirect
64. C2×#66992C22semidirect
65. C2×#66992C22semidirect
67. C2×#66991C22semidirect
68. C2×#66991C22semidirect
73. C2×#66989C22semidirect
75. C2×#66988C22semidirect
76. C2×#66988C22semidirect
80. C2×#66983C22semidirect
82. C2×#66982C22semidirect
83. C2×#66982C22semidirect
84. C2×#66982C22semidirect
85. C2×#66982C22semidirect
86. C2×#66982C22semidirect
88. C2×C4×C22⋊D11C22semidirect
89. C2×C4×C22⋊D11C22semidirect
90. C2×C4×C22⋊D11C22semidirect
91. C2×C4×C22⋊D11C22semidirect
92. C2×C4×C22⋊D11C22semidirect
95. C2×#66977C22semidirect
96. C2×#66977C22semidirect
97. #10623240C22semidirect
98. #10623237C22semidirect
99. #10623235C22semidirect
100. #10623233C22semidirect
101. #10623231C22semidirect
102. #10623227C22semidirect
103. #10623197C22semidirect
104. #10623191C22semidirect
105. #10623185C22semidirect
106. #10623179C22semidirect
107. #10623152C22semidirect
108. #10623151C22semidirect
109. #10623146C22semidirect
110. #10623146C22semidirect
111. #10623144C22semidirect
112. #10623141C22semidirect
113. #10623138C22semidirect
114. #10623130C22semidirect
115. #10623093C22semidirect
116. #10623091C22semidirect
117. #10623091C22semidirect
118. #10623090C22semidirect
119. #10623087C22semidirect
120. #10623083C22semidirect
121. #10623083C22semidirect
122. #10623079C22semidirect
123. #10623059C22semidirect
124. #10623058C22semidirect
125. #10623046C22semidirect
129. C2×#66951C22semidirect
130. C2×#66951C22semidirect
131. C2×#66951C22semidirect
134. C2×#66949C22semidirect
135. C2×#66949C22semidirect
136. C2×#66949C22semidirect
137. C2×#66949C22semidirect
138. C2×#66949C22semidirect
139. C2×#66949C22semidirect
140. C2×#66949C22semidirect
141. #10623038C22semidirect
145. C2×#66948C22semidirect
146. C2×#66948C22semidirect
151. C2×#66947C22semidirect
152. C2×#66947C22semidirect
153. C2×#66947C22semidirect
155. C2×#66946C22semidirect
157. C2×C4⋊C4×D11C22semidirect
158. C2×#66943C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66942C22semidirect
162. C2×#66942C22semidirect
163. C2×#66941C22semidirect
164. C2×#66941C22semidirect
165. C2×#66940C22semidirect
166. C2×#66940C22semidirect
167. C2×#66939C22semidirect
174. C2×#66938C22semidirect
175. C2×#66938C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
181. C2×#66937C22semidirect
182. C2×#66937C22semidirect
183. C2×#66936C22semidirect
184. C2×#66936C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
187. C2×#66936C22semidirect
194. C2×(C22⋊D11)⋊C4C22semidirect
195. C2×(C22⋊D11)⋊C4C22semidirect
196. C2×(C22⋊D11)⋊C4C22semidirect
197. C2×(C22⋊D11)⋊C4C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66931C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
205. C2×#66930C22semidirect
206. C2×#66930C22semidirect
210. C2×#66928C22semidirect
211. C2×#66928C22semidirect
212. C2×C4×D44C22semidirect
213. C2×C4×D44C22semidirect
214. C2×#66925C22semidirect
215. C2×#66925C22semidirect
216. C2×C42×D11C22semidirect
217. C2×C4×Dic22C22semidirect
218. C2×C4×Dic22C22semidirect
262. C2×#4339C23semidirect
289. C22×Dic22C23semidirect
290. C11×#126C23semidirect
291. C11×#126C23semidirect
292. C11×#125C23semidirect
294. C11×#123C23semidirect
297. C11×#121C23semidirect
298. C11×#121C23semidirect
299. C4×D4×C11C23semidirect
300. C4×D4×C11C23semidirect
301. C4×D4×C11C23semidirect
302. C4×D4×C11C23semidirect
303. C11×#117C23semidirect
314. C2×C11×C4⋊C4C23semidirect
340. #66993C23semidirect
341. #66993C23semidirect
345. #66992C23semidirect
346. #66992C23semidirect
347. #66992C23semidirect
348. #66992C23semidirect
350. #66991C23semidirect
351. #66991C23semidirect
356. #66989C23semidirect
358. #66988C23semidirect
359. #66988C23semidirect
363. #66983C23semidirect
365. #66982C23semidirect
366. #66982C23semidirect
367. #66982C23semidirect
368. #66982C23semidirect
369. #66982C23semidirect
371. C4×C22⋊D11C23semidirect
372. C4×C22⋊D11C23semidirect
373. C4×C22⋊D11C23semidirect
374. C4×C22⋊D11C23semidirect
375. C4×C22⋊D11C23semidirect
412. #66977C23semidirect
413. #66977C23semidirect
446. #66951C23semidirect
447. #66951C23semidirect
448. #66951C23semidirect
451. #66949C23semidirect
452. #66949C23semidirect
453. #66949C23semidirect
454. #66949C23semidirect
455. #66949C23semidirect
456. #66949C23semidirect
457. #66949C23semidirect
461. #66948C23semidirect
462. #66948C23semidirect
467. #66947C23semidirect
468. #66947C23semidirect
469. #66947C23semidirect
471. #66946C23semidirect
473. C4⋊C4×D11C23semidirect
474. #66943C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66942C23semidirect
479. #66941C23semidirect
480. #66941C23semidirect
481. #66940C23semidirect
482. #66940C23semidirect
483. #66939C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
495. #66937C23semidirect
496. #66937C23semidirect
497. #66937C23semidirect
498. #66937C23semidirect
499. #66936C23semidirect
500. #66936C23semidirect
501. #66936C23semidirect
502. #66936C23semidirect
503. #66936C23semidirect
510. (C22⋊D11)⋊C4C23semidirect
511. (C22⋊D11)⋊C4C23semidirect
512. (C22⋊D11)⋊C4C23semidirect
513. (C22⋊D11)⋊C4C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
518. #66931C23semidirect
519. #66931C23semidirect
520. #66931C23semidirect
521. #66930C23semidirect
522. #66930C23semidirect
526. #66928C23semidirect
527. #66928C23semidirect
528. C4×D44C23semidirect
529. C4×D44C23semidirect
530. #66925C23semidirect
531. #66925C23semidirect
532. C42×D11C23semidirect
533. C4×Dic22C23semidirect
534. C4×Dic22C23semidirect
799. C2×#553D11semidirect
982. #553C2×D11semidirect
1022. C2×#126C2×D11semidirect
1023. C2×#126C2×D11semidirect
1029. C2×#125C2×D11semidirect
1065. C2×#123C2×D11semidirect
1108. C2×#121C2×D11semidirect
1109. C2×#121C2×D11semidirect
1138. C2×C4×D4C2×D11semidirect
1139. C2×C4×D4C2×D11semidirect
1140. C2×C4×D4C2×D11semidirect
1141. C2×C4×D4C2×D11semidirect
1147. C2×#117C2×D11semidirect
1149. C22×C4⋊C4C2×D11semidirect
1306. #126C22×D11semidirect
1307. #126C22×D11semidirect
1313. #125C22×D11semidirect
1349. #123C22×D11semidirect
1392. #121C22×D11semidirect
1393. #121C22×D11semidirect
1422. C4×D4C22×D11semidirect
1423. C4×D4C22×D11semidirect
1424. C4×D4C22×D11semidirect
1425. C4×D4C22×D11semidirect
1431. #117C22×D11semidirect
1469. C2×C4⋊C4C22×D11semidirect
1539. C2×C11#3562semidirect
1803. C11C2×#3562semidirect
2023. C2#13083189direct (N × H)

Maximal subgroups

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

subgroupindex
#130831892
C2×#106232312
C2×#106231522
C2×#106231972
C2×#106231512
C2×#106230902
C2×#106232332
C2×#106232402
C2×#106230872
C2×#106230582
C2×#106231302
C2×#106230832
C2×#106230382
C2×#106231852
C2×#106231412
C2×#106232272
C2×#106230932
C2×#106231462
C2×#106230462
C2×#106231912
C2×#106232352
C2×#106230912
C2×#106231442
C2×#106231792
C2×#106231382
C2×#106230792
C2×#106232372
C2×#106230592
C2×C11×#5532
C2×#356211