Finite Group Databasebeta

← #14961144

Subgroups — #14961144

Order 2816.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623148C211yesmaximal, characteristic, complemented
2C2×#10623091C211yesmaximal, characteristic, complemented
3#13076897C211yesmaximal, characteristic, complemented
4#13076895C211yesmaximal, characteristic, complemented
5#13075525C211yesmaximal, characteristic, complemented
6#13075432C211yesmaximal, characteristic, complemented
7#13075431C211yesmaximal, characteristic, complemented
8#13075388C211yesmaximal, characteristic, complemented
9#13075154C211yesmaximal, characteristic, complemented
10#13075153C211yesmaximal, characteristic, complemented
11#13075127C211yesmaximal, characteristic, complemented
12#13075102C211yesmaximal, characteristic, complemented
13#13075099C211yesmaximal, characteristic, complemented
14#13074922C211yesmaximal, characteristic, complemented
15#13074921C211yesmaximal, characteristic, complemented
16#13074908C211yesmaximal, characteristic, complemented
17#13074871C211yesmaximal, characteristic, complemented
18#13074865C211yesmaximal, characteristic, complemented
19#13074851C211yesmaximal, characteristic, complemented
20#13074850C211yesmaximal, characteristic, complemented
21#13074356C211yesmaximal, characteristic, complemented
22#13074352C211yesmaximal, characteristic, complemented
23#13073800C211yesmaximal, characteristic, complemented
24#13073796C211yesmaximal, characteristic, complemented
25#13073574C211yesmaximal, characteristic, complemented
26#13072067C211yesmaximal, characteristic, complemented
27#13072064C211yesmaximal, characteristic, complemented
28#13072057C211yesmaximal, characteristic, complemented
29#13072053C211yesmaximal, characteristic, complemented
30C2×#10622281C211yesmaximal, characteristic, complemented
31C11×#2543C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66992C2211yescharacteristic, complemented
43C2×#66991C2211yescharacteristic
44C2×#66991C2211yescharacteristic
45C2×#66991C2211yescharacteristic, complemented
46C2×#66990C2211yescharacteristic
47C2×#66990C2211yescharacteristic
48C2×#66990C2211yescharacteristic
49C2×D4×Dic11C2211yescharacteristic
50C2×D4×Dic11C2211yescharacteristic
51C2×#66983C2211yescharacteristic
52C2×#66982C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C22×(C2×D11)⋊C4C2211yescharacteristic
55C22×(C2×D11)⋊C4C2211yescharacteristic
56C22×C4⋊Dic11C2211yescharacteristic
57C2×#66977C2211yescharacteristic
58C2×#66977C2211yescharacteristic, complemented
59C22×Dic11⋊C4C2211yescharacteristic
60#10623148—28no—
61#10623091—28no—
62C2×#66951C2211yescharacteristic
63C2×#66951C2211yescharacteristic
64C2×#66951C2211yescharacteristic
65C2×#66947C2211yescharacteristic
66C2×#66939C2211yescharacteristic
67C2×#66939C2211yescharacteristic
68C2×#66938C2211yescharacteristic
69C2×#66938C2211yescharacteristic
70C2×#66938C2211yescharacteristic
71C2×#66937C2211yescharacteristic
72C2×#66937C2211yescharacteristic
73C2×#66937C2211yescharacteristic
74C2×#66935C2211yescharacteristic
75C2×#66931C2211yescharacteristic
76C2×#66931C2211yescharacteristic, complemented
77C2×#66929C2211yescharacteristic
78C2×#66928C2211yescharacteristic
79C11×#398C2211yescharacteristic, complemented
80C11×#397C2211yescharacteristic, complemented
81C11×#394C2211yescharacteristic, complemented
82C11×#392C2211yescharacteristic, complemented
83C11×#388C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#386C2211yescharacteristic
86C11×#386C2211yescharacteristic
87C11×#386C2211yescharacteristic, complemented
88C11×#386C2211yescharacteristic, complemented
89C2×C11×#95C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic, complemented
93#10622835C2211yescharacteristic, complemented
94#10622834C2211yescharacteristic, complemented
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic, complemented
100#10622826C2211yescharacteristic
101#10622826C2211yescharacteristic
102#10622825C2211yescharacteristic
103#10622825C2211yescharacteristic
104#10622825C2211yescharacteristic, complemented
105C2×C11⋊#95C2211yescharacteristic
106#10622607C2211yescharacteristic, complemented
107#10622606C2211yescharacteristic
108#10622606C2211yescharacteristic
109#10622603C2211yescharacteristic, complemented
110#10622600C2211yescharacteristic
111#10622600C2211yescharacteristic
112#10622600C2211yescharacteristic, complemented
113#10622597C2211yescharacteristic, complemented
114#10622597C2211yescharacteristic, complemented
115#10622597C2211yescharacteristic, complemented
116#10622586C2211yescharacteristic, complemented
117#10622585C2211yescharacteristic, complemented
118#10622574C2211yescharacteristic
119#10622574C2211yescharacteristic
120#10622574C2211yescharacteristic
121#10622574C2211yescharacteristic
122#10622574C2211yescharacteristic, complemented
123#10622574C2211yescharacteristic, complemented
124#10622574C2211yescharacteristic, complemented
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622572C2211yescharacteristic
128#10622572C2211yescharacteristic
129#10622572C2211yescharacteristic, complemented
130#10622571C2211yescharacteristic, complemented
131#10622570C2211yescharacteristic, complemented
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622565C2211yescharacteristic, complemented
139#10622563C2211yescharacteristic, complemented
140#10622562C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622561C2211yescharacteristic, complemented
148#10622560C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic
152#10622555C2211yescharacteristic
153#10622555C2211yescharacteristic, complemented
154#10622555C2211yescharacteristic, complemented
155#10622542C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622290C2211yescharacteristic, complemented
158#10622288C2211yescharacteristic
159#10622288C2211yescharacteristic
160#10622286C2211yescharacteristic, complemented
161#10622285C2211yescharacteristic
162#10622285C2211yescharacteristic
163#10622281C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622281C2211yescharacteristic
166#10622281C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622281C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622281C2211yescharacteristic
171#10622281C2211yescharacteristic, complemented
172#10622281C2211yescharacteristic, complemented
173#10622280C2211yescharacteristic
174#10622280C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622274C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622272C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622266C2211yescharacteristic, complemented
187#10622260C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C23×Dic11C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×C4×D11—42no—
218C22×C4×D11—42no—
219C22×C4×D11—42no—
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#121—24no—
228C11×#121—42no—
229C11×#121—42no—
230C4×D4×C11—24no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264#66992—24no—
265#66992—24no—
266#66992—24no—
267#66992—42no—
268#66992—42no—
269#66992—42no—
270#66991—42no—
271#66991—42no—
272#66991—42no—
273#66990—24no—
274#66990—24no—
275#66990—24no—
276D4×Dic11—24no—
277D4×Dic11—24no—
278#66983—24no—
279#66982—24no—
280C4×C22⋊D11—24no—
281C2×(C2×D11)⋊C4—42no—
282C2×(C2×D11)⋊C4D418yescomplemented
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×C4⋊Dic11—42no—
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×C4⋊Dic11C2311yescharacteristic
317C2×C4⋊Dic11C2311yescharacteristic
318C2×C4⋊Dic11C2311yescharacteristic
319C2×C4⋊Dic11C2311yescharacteristic
320#66977—24no—
321#66977—42no—
322C2×Dic11⋊C4—42no—
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×Dic11⋊C4C2311yescharacteristic
332C2×Dic11⋊C4C2311yescharacteristic
333C2×Dic11⋊C4C2311yescharacteristic
334C2×Dic11⋊C4C2311yescharacteristic
335C2×Dic11⋊C4C2311yescharacteristic
336C2×Dic11⋊C4C2311yescharacteristic
337C2×Dic11⋊C4C2311yescharacteristic
338C2×Dic11⋊C4C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342#66951—24no—
343#66951—24no—
344#66951—24no—
345#66947—24no—
346#66939—24no—
347#66939—24no—
348#66938—24no—
349#66938—24no—
350#66938—24no—
351#66937—24no—
352#66937—42no—
353#66937—42no—
354#66935—24no—
355#66931—24no—
356#66931—42no—
357#66929—24no—
358#66928—24no—
359C11×#95C2311yescharacteristic
360C11×#95C2311yescharacteristic
361C11×#95C2311yescharacteristic
362C11×#95C2311yescharacteristic
363C11×#95C2311yescharacteristic
364C11×#95C2311yescharacteristic
365C11×#95C2311yescharacteristic
366C11×#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#36738—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2×D414yes—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11—41no—
434C22×C4×C11—41no—
435C22×C4×C11C2×D414yes—
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
444C22×C4×C11C2411yescharacteristic
445C22×C4×C11C2411yescharacteristic
446C22×C4×C11C2411yescharacteristic
447C2×C22⋊D11—22no—
448C2×C22⋊D11—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C2×C22⋊D11—41no—
475C2×C22⋊D11—41no—
476C2×C22⋊D11—41no—
477C22×Dic11—22no—
478C22×Dic11—22no—
479C22×Dic11—22no—
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—41no—
483C22×Dic11—41no—
484C22×Dic11—41no—
485C22×Dic11—41no—
486C22×Dic11—41no—
487C22×Dic11—41no—
488C22×Dic11—41no—
489C22×Dic11—41no—
490C22×Dic11—41no—
491C22×Dic11C2×D414yes—
492C22×Dic11C2411yescharacteristic
493C22×Dic11C2411yescharacteristic
494C22×Dic11C2411yescharacteristic
495C22×Dic11C2411yescharacteristic
496C22×Dic11C2411yescharacteristic
497C22×Dic11C2411yescharacteristic
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C2×D44—22no—
506C2×D44—22no—
507C2×D44—41no—
508C2×D44—41no—
509C2×D44—41no—
510C2×D44—41no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—41no—
523C2×C4×D11—41no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—416no—
527C2×Dic22—22no—
528C2×Dic22—22no—
529C2×Dic22—41no—
530C2×Dic22—41no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—41no—
536C11×C4⋊C4—41no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—41no—
543C11×C22⋊C4—41no—
544C11×C22⋊C4—41no—
545C11×C22⋊C4—41no—
546C11×C22⋊C4—41no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C42×C11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—41no—
559C22⋊Dic11—41no—
560C22⋊Dic11—41no—
561C22⋊Dic11—41no—
562C22⋊Dic11—41no—
563C22⋊Dic11—41no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566(C2×D11)⋊C4—22no—
567(C2×D11)⋊C4—22no—
568(C2×D11)⋊C4—22no—
569(C2×D11)⋊C4—22no—
570(C2×D11)⋊C4—22no—
571(C2×D11)⋊C4—22no—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580(C2×D11)⋊C4—41no—
581(C2×D11)⋊C4—41no—
582(C2×D11)⋊C4—41no—
583(C2×D11)⋊C4—41no—
584(C2×D11)⋊C4—41no—
585(C2×D11)⋊C4—41no—
586(C2×D11)⋊C4C2×D414yes—
587(C2×D11)⋊C4C2×D414yes—
588(C2×D11)⋊C4C2×D414yes—
589(C2×D11)⋊C4C2×D414yes—
590C4⋊Dic11—22no—
591C4⋊Dic11—22no—
592C4⋊Dic11—22no—
593C4⋊Dic11—22no—
594C4⋊Dic11—22no—
595C4⋊Dic11—22no—
596C4⋊Dic11—22no—
597C4⋊Dic11—41no—
598C4⋊Dic11—41no—
599C4⋊Dic11—41no—
600C4⋊Dic11—41no—
601C4⋊Dic11—41no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—22no—
608Dic11⋊C4—22no—
609Dic11⋊C4—22no—
610Dic11⋊C4—22no—
611Dic11⋊C4—41no—
612Dic11⋊C4—41no—
613Dic11⋊C4—41no—
614Dic11⋊C4—41no—
615Dic11⋊C4—41no—
616Dic11⋊C4—41no—
617Dic11⋊C4—41no—
618C4×Dic11—22no—
619C4×Dic11—22no—
620C4×Dic11—22no—
621C2×#538—111no—
622C2×#538—111no—
623#2847—111no—
624#2847—111no—
625#2722—111no—
626#2715—111no—
627#2715—111no—
628#2712—111no—
629#2695—111no—
630#2695—111no—
631#2693—111no—
632#2691—111no—
633#2691—111no—
634#2676—111no—
635#2676—111no—
636#2675—111no—
637#2672—111no—
638#2672—111no—
639#2671—111no—
640#2671—111no—
641#2617—111no—
642#2617—111no—
643#2564—111no—
644#2564—111no—
645#2543—111no—
646#2543D1111yescharacteristic, complemented
647#2417—111no—
648#2417—111no—
649#2416—111no—
650#2416—111no—
651C2×#385—111no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11C22×D412yes—
678C23×C11H(5,𝔽2)12yes—
679C23×C112−1+412yes—
680C23×C11C2511yescharacteristic
681C22×D11—28no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11—44no—
706C22×D11—44no—
707C22×D11C22×D412yes—
708C22×D11C22×D412yes—
709D4×C11—44no—
710D4×C11—44no—
711D4×C11—44no—
712D4×C11—82no—
713D4×C11—82no—
714D4×C11—82no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—44no—
746C2×C4×C11—44no—
747C2×C4×C11—82no—
748C2×C4×C11—82no—
749C2×C4×C11C22×D412yes—
750C2×C4×C11C22×D412yes—
751C2×C4×C11H(5,𝔽2)12yes—
752C22⋊D11—44no—
753C22⋊D11—82no—
754C22⋊D11—82no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C22⋊D11—82no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—44no—
799C2×Dic11—44no—
800C2×Dic11—82no—
801C2×Dic11—82no—
802C2×Dic11—82no—
803C2×Dic11C22×D412yes—
804C2×Dic11C22×D412yes—
805C2×Dic11H(5,𝔽2)12yes—
806D44—82no—
807D44—82no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—82no—
813Dic22—82no—
814Dic22—82no—
815C24×C4—111no—
816#538—228no—
817#538—228no—
818C2×#126—111no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#126—111no—
822C2×#124—111no—
823C2×#124—111no—
824C2×#124—111no—
825C2×#124—111no—
826C2×#123—111no—
827C2×#123—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×C22⋊Q8—111no—
831C2×C22⋊Q8—111no—
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121—111no—
847C2×#121C2×D1111yescharacteristic
848C2×#121C2×D1111yescharacteristic
849C2×#121C2×D1111yescharacteristic
850C2×#120—111no—
851C2×#120—111no—
852C2×#120—111no—
853C2×#120—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4C2×D1111yescharacteristic
858C22×C4⋊C4—111no—
859C22×C4⋊C4—111no—
860C22×C22⋊C4—111no—
861C22×C22⋊C4—111no—
862#400—111no—
863#400—111no—
864#399—111no—
865#399—111no—
866#398—111no—
867#398—111no—
868#398—111no—
869#398—111no—
870#398—111no—
871#398C2×D1111yescharacteristic, complemented
872#397—111no—
873#397—111no—
874#397—111no—
875#397—111no—
876#397—111no—
877#397C2×D1111yescharacteristic, complemented
878#396—111no—
879#396—111no—
880#396—111no—
881#396—111no—
882#396—111no—
883#396—111no—
884#396—111no—
885#396—111no—
886#395—111no—
887#395—111no—
888#394—111no—
889#394—111no—
890#394—111no—
891#394—111no—
892#394—111no—
893#394—111no—
894#394—111no—
895#394—111no—
896#394—111no—
897#394—111no—
898#394—111no—
899#394—111no—
900#394—111no—
901#394C2×D1111yescharacteristic, complemented
902#393—111no—
903#393—111no—
904#392—111no—
905#392—111no—
906#392—111no—
907#392—111no—
908#392—111no—
909#392C2×D1111yescharacteristic, complemented
910#391—111no—
911#391—111no—
912#390—111no—
913#390—111no—
914#389—111no—
915#389—111no—
916#389—111no—
917#389—111no—
918#388—111no—
919#388—111no—
920#388C2×D1111yescharacteristic, complemented
921#388C2×D1111yescharacteristic, complemented
922#387—111no—
923#387—111no—
924#387—111no—
925#387—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386—111no—
941#386—111no—
942#386C2×D1111yescharacteristic
943#386C2×D1111yescharacteristic
944#386C2×D1111yescharacteristic, complemented
945#386C2×D1111yescharacteristic, complemented
946#385—111no—
947#385—111no—
948#385—111no—
949#385—111no—
950#385—111no—
951#385—111no—
952#385—111no—
953#385—111no—
954#385—111no—
955#385—111no—
956#385—111no—
957#385—111no—
958#380—111no—
959#380—111no—
960#380—111no—
961#380—111no—
962#380—111no—
963#380—111no—
964#380—111no—
965#380—111no—
966#380—111no—
967#380—111no—
968#380—111no—
969#380—111no—
970C2×#95—111no—
971C2×#95C2×D1111yescharacteristic
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—22no—
976C22×C11—22no—
977C22×C11—22no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11#53714yes—
1000C22×C11C23×D411yescharacteristic
1001C22×C11C2×H(5,𝔽2)11yescharacteristic
1002C22×C11C2×H(5,𝔽2)11yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11C2×2−1+411yescharacteristic
1005C22×C11#58511yescharacteristic
1006C22×C11#58511yescharacteristic
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—416no—
1014C2×D11—41no—
1015C2×D11—41no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040Dic11—22no—
1041Dic11—22no—
1042Dic11—22no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053C25—111no—
1054C22×Q8—111no—
1055C22×Q8—111no—
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4C22×D1111yescharacteristic
1069C22×D4C22×D1111yescharacteristic
1070C22×D4C22×D1111yescharacteristic
1071C22×D4C22×D1111yescharacteristic
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—442no—
1085C23×C4—442no—
1086C23×C4—442no—
1087C23×C4C22×D1111yescharacteristic
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#126—224no—
1092#126—224no—
1093#126—224no—
1094#126—224no—
1095#124—224no—
1096#124—224no—
1097#124—224no—
1098#124—224no—
1099#123—224no—
1100#123—224no—
1101#123—224no—
1102#123—224no—
1103C22⋊Q8—224no—
1104C22⋊Q8—224no—
1105C22⋊Q8—442no—
1106C22⋊Q8—442no—
1107#121—24no—
1108#121—42no—
1109#121—42no—
1110#121—224no—
1111#121—224no—
1112#121—224no—
1113#121—224no—
1114#121—224no—
1115#121—442no—
1116#121—442no—
1117#121—442no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#121—442no—
1122#121—442no—
1123#120—224no—
1124#120—224no—
1125#120—224no—
1126#120—224no—
1127C4×D4—24no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C4×D4—224no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4—111no—
1151C2×C4⋊C4—111no—
1152C2×C4⋊C4—111no—
1153C2×C4⋊C4—111no—
1154C2×C4⋊C4—111no—
1155C2×C4⋊C4—111no—
1156C2×C4⋊C4—111no—
1157C2×C4⋊C4—111no—
1158C2×C4⋊C4—111no—
1159C2×C4⋊C4—442no—
1160C2×C4⋊C4—442no—
1161C2×C4⋊C4C22×D1111yescharacteristic
1162C2×C4⋊C4C22×D1111yescharacteristic
1163C2×C4⋊C4C22×D1111yescharacteristic
1164C2×C4⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4—118no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—442no—
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C22⋊C4C22×D1111yescharacteristic
1210C2×C22⋊C4C22×D1111yescharacteristic
1211C2×C22⋊C4C22×D1111yescharacteristic
1212C2×C22⋊C4C22×D1111yescharacteristic
1213C2×C22⋊C4C22×D1111yescharacteristic
1214C2×C22⋊C4C22×D1111yescharacteristic
1215C2×C22⋊C4C22×D1111yescharacteristic
1216C2×C22⋊C4C22×D1111yescharacteristic
1217C2×C22⋊C4C22×D1111yescharacteristic
1218C2×C22⋊C4C22×D1111yescharacteristic
1219C2×C42—111no—
1220C2×C42—111no—
1221C2×C42—111no—
1222C2×C42C22×D1111yescharacteristic
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95C22×D1111yescharacteristic
1248#95C22×D1111yescharacteristic
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—24no—
1256C2×C11—81no—
1257C2×C11—81no—
1258C2×C11—81no—
1259C2×C11C2×#53711yescharacteristic
1260C2×C11#349611yescharacteristic
1261C2×C11#349611yescharacteristic
1262C2×C11#353211yescharacteristic
1263C2×C11#353311yescharacteristic
1264C2×C11#354111yescharacteristic
1265C2×C11#354111yescharacteristic
1266D11—42no—
1267D11—42no—
1268D11—81no—
1269C24—111no—
1270C24—111no—
1271C24—114no—
1272C24—111no—
1273C24—222no—
1274C24—222no—
1275C24—441no—
1276C24—441no—
1277C24—441no—
1278C24—441no—
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—222no—
1284C2×Q8—222no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—441no—
1321C2×D4—441no—
1322C2×D4—441no—
1323C2×D4—441no—
1324C2×D4—441no—
1325C2×D4—441no—
1326C2×D4—441no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—114no—
1358C22×C4—111no—
1359C22×C4—111no—
1360C22×C4—111no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—222no—
1369C22×C4—222no—
1370C22×C4—222no—
1371C22×C4—222no—
1372C22×C4—222no—
1373C22×C4—222no—
1374C22×C4—222no—
1375C22×C4—222no—
1376C22×C4—222no—
1377C22×C4—222no—
1378C22×C4—441no—
1379C22×C4—441no—
1380C22×C4—441no—
1381C22×C4—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—4416no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—441no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4D4×D1114yes—
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—222no—
1415C4⋊C4—222no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—222no—
1429C4⋊C4—222no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C4⋊C4—441no—
1435C4⋊C4—441no—
1436C4⋊C4—441no—
1437C4⋊C4—441no—
1438C4⋊C4—441no—
1439C4⋊C4—441no—
1440C4⋊C4—441no—
1441C4⋊C4—441no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—114no—
1455C22⋊C4—114no—
1456C22⋊C4—114no—
1457C22⋊C4—114no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—441no—
1478C22⋊C4—441no—
1479C22⋊C4—441no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4—441no—
1486C22⋊C4—441no—
1487C22⋊C4—441no—
1488C22⋊C4—441no—
1489C22⋊C4—441no—
1490C22⋊C4—441no—
1491C22⋊C4—441no—
1492C22⋊C4—441no—
1493C22⋊C4—441no—
1494C42—22no—
1495C42—222no—
1496C42—222no—
1497C42—222no—
1498C11#3673811yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—112no—
1525C23—112no—
1526C23—228no—
1527C23—221no—
1528C23—221no—
1529C23—221no—
1530C23—221no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—444no—
1547C23—444no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23C2×D4×D1112yes—
1553C23#6703712yes—
1554C23#6704312yes—
1555C23C24×D1111yescharacteristic
1556Q8—882no—
1557Q8—882no—
1558D4—44no—
1559D4—44no—
1560D4—44no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—444no—
1565D4—882no—
1566D4—882no—
1567D4—882no—
1568D4—882no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—82no—
1609C2×C4—82no—
1610C2×C4—112no—
1611C2×C4—112no—
1612C2×C4—112no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4—882no—
1658C2×C4—882no—
1659C2×C4C2×D4×D1112yes—
1660C2×C4C2×D4×D1112yes—
1661C2×C4#6704212yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—222no—
1690C22—222no—
1691C22—222no—
1692C22—222no—
1693C22—222no—
1694C22—222no—
1695C22—4416no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22#1062313914yes—
1712C22C22×D4×D1111yescharacteristic
1713C22C2×#6703711yescharacteristic
1714C22C2×#6704211yescharacteristic
1715C22C2×#6704311yescharacteristic
1716C22#1062345311yescharacteristic
1717C22D11×H(5,𝔽2)11yescharacteristic
1718C22#1062345511yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—222no—
1731C4—222no—
1732C4—222no—
1733C4—441no—
1734C4—441no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—24no—
1744C2—81no—
1745C2—81no—
1746C2—81no—
1747C2—442no—
1748C2—442no—
1749C2—881no—
1750C2C2×#1062313911yescharacteristic
1751C2#1308237711yescharacteristic
1752C2#1308237811yescharacteristic
1753C2#1308276511yescharacteristic
1754C2#1308277511yescharacteristic
1755C2#1308289411yescharacteristic
1756C2#1308290311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2543C2
hypercenter#2543D11
hypocenterC11#36738
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#10623148C2semidirect
2. C2×#10623091C2semidirect
3. #13076897C2semidirect
4. #13076895C2semidirect
5. #13075525C2semidirect
6. #13075432C2semidirect
7. #13075431C2semidirect
8. #13075388C2semidirect
9. #13075154C2semidirect
10. #13075153C2semidirect
11. #13075127C2semidirect
12. #13075102C2semidirect
13. #13075099C2semidirect
14. #13074922C2semidirect
15. #13074921C2semidirect
16. #13074908C2semidirect
17. #13074871C2semidirect
18. #13074865C2semidirect
19. #13074851C2semidirect
20. #13074850C2semidirect
21. #13074356C2semidirect
22. #13074352C2semidirect
23. #13073800C2semidirect
24. #13073796C2semidirect
25. #13073574C2semidirect
26. #13072067C2semidirect
27. #13072064C2semidirect
28. #13072057C2semidirect
29. #13072053C2semidirect
30. C2×#10622281C2semidirect
31. C11×#2543C2semidirect
42. C2×#66992C22semidirect
45. C2×#66991C22semidirect
58. C2×#66977C22semidirect
76. C2×#66931C22semidirect
79. C11×#398C22semidirect
80. C11×#397C22semidirect
81. C11×#394C22semidirect
82. C11×#392C22semidirect
83. C11×#388C22semidirect
84. C11×#388C22semidirect
87. C11×#386C22semidirect
88. C11×#386C22semidirect
92. #10622836C22semidirect
93. #10622835C22semidirect
94. #10622834C22semidirect
99. #10622833C22semidirect
104. #10622825C22semidirect
106. #10622607C22semidirect
109. #10622603C22semidirect
112. #10622600C22semidirect
113. #10622597C22semidirect
114. #10622597C22semidirect
115. #10622597C22semidirect
116. #10622586C22semidirect
117. #10622585C22semidirect
122. #10622574C22semidirect
123. #10622574C22semidirect
124. #10622574C22semidirect
129. #10622572C22semidirect
130. #10622571C22semidirect
131. #10622570C22semidirect
138. #10622565C22semidirect
139. #10622563C22semidirect
140. #10622562C22semidirect
141. #10622561C22semidirect
142. #10622561C22semidirect
143. #10622561C22semidirect
144. #10622561C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
147. #10622561C22semidirect
148. #10622560C22semidirect
149. #10622559C22semidirect
150. #10622558C22semidirect
153. #10622555C22semidirect
154. #10622555C22semidirect
155. #10622542C22semidirect
156. #10622541C22semidirect
157. #10622290C22semidirect
160. #10622286C22semidirect
171. #10622281C22semidirect
172. #10622281C22semidirect
177. #10622274C22semidirect
178. #10622273C22semidirect
179. #10622272C22semidirect
180. #10622270C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622266C22semidirect
186. #10622266C22semidirect
187. #10622260C22semidirect
188. #10622259C22semidirect
282. C2×(C2×D11)⋊C4D4semidirect
646. #2543D11semidirect
871. #398C2×D11semidirect
877. #397C2×D11semidirect
901. #394C2×D11semidirect
909. #392C2×D11semidirect
920. #388C2×D11semidirect
921. #388C2×D11semidirect
944. #386C2×D11semidirect
945. #386C2×D11semidirect
1498. C11#36738semidirect

Maximal subgroups

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

subgroupindex
C2×#106231482
C2×#106230912
#130768972
#130768952
#130755252
#130754322
#130754312
#130753882
#130751542
#130751532
#130751272
#130751022
#130750992
#130749222
#130749212
#130749082
#130748712
#130748652
#130748512
#130748502
#130743562
#130743522
#130738002
#130737962
#130735742
#130720672
#130720642
#130720572
#130720532
C2×#106222812
C11×#25432
#3673811