Finite Group Databasebeta

← #14961323

Subgroups — #14961323

Order 2816.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623171C211yesmaximal, characteristic, complemented
2C2×#10623144C211yesmaximal, characteristic, complemented
3#13076947C211yesmaximal, characteristic, complemented
4#13075530C211yesmaximal, characteristic, complemented
5#13075437C211yesmaximal, characteristic, complemented
6#13075422C211yesmaximal, characteristic, complemented
7#13075383C211yesmaximal, characteristic, complemented
8#13075211C211yesmaximal, characteristic, complemented
9#13075187C211yesmaximal, characteristic, complemented
10#13075161C211yesmaximal, characteristic, complemented
11#13075094C211yesmaximal, characteristic, complemented
12#13075047C211yesmaximal, characteristic, complemented
13#13075017C211yesmaximal, characteristic, complemented
14#13075002C211yesmaximal, characteristic, complemented
15#13074993C211yesmaximal, characteristic, complemented
16#13074918C211yesmaximal, characteristic, complemented
17#13074891C211yesmaximal, characteristic, complemented
18#13074837C211yesmaximal, characteristic, complemented
19#13074821C211yesmaximal, characteristic, complemented
20#13074767C211yesmaximal, characteristic, complemented
21#13074745C211yesmaximal, characteristic, complemented
22#13074302C211yesmaximal, characteristic, complemented
23#13074252C211yesmaximal, characteristic, complemented
24#13074233C211yesmaximal, characteristic, complemented
25#13074220C211yesmaximal, characteristic, complemented
26#13074102C211yesmaximal, characteristic, complemented
27#13073772C211yesmaximal, characteristic, complemented
28#13072042C211yesmaximal, characteristic, complemented
29#13072000C211yesmaximal, characteristic, complemented
30#13071059C211yesmaximal, characteristic, complemented
31C11×#2850C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C11×C22⋊Q8C2211yescharacteristic, complemented
34C2×C11×#121C2211yescharacteristic
35C22×C42×C11C2211yescharacteristic, complemented
36C2×#67000C2211yescharacteristic
37C2×#66997C2211yescharacteristic, complemented
38C2×#66992C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66990C2211yescharacteristic
42C2×#66989C2211yescharacteristic
43C2×#66988C2211yescharacteristic
44C2×#66983C2211yescharacteristic
45C2×#66982C2211yescharacteristic
46C2×#66982C2211yescharacteristic, complemented
47C2×C4×C22⋊D11C2211yescharacteristic
48#10623171—28no—
49#10623144—28no—
50C2×#66951C2211yescharacteristic
51C2×#66951C2211yescharacteristic
52C2×#66949C2211yescharacteristic
53C2×#66949C2211yescharacteristic
54C2×#66949C2211yescharacteristic, complemented
55C2×#66947C2211yescharacteristic
56C2×#66945C2211yescharacteristic, complemented
57C2×#66940C2211yescharacteristic, complemented
58C2×#66938C2211yescharacteristic
59C2×#66938C2211yescharacteristic
60C2×#66938C2211yescharacteristic, complemented
61C2×#66937C2211yescharacteristic
62C2×#66935C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D11C2211yescharacteristic
65C2×#66932C2211yescharacteristic
66C2×#66932C2211yescharacteristic, complemented
67C2×#66931C2211yescharacteristic, complemented
68C2×#66925C2211yescharacteristic
69C11×#391C2211yescharacteristic, complemented
70C11×#390C2211yescharacteristic
71C11×#388C2211yescharacteristic
72C11×#388C2211yescharacteristic
73C11×#388C2211yescharacteristic, complemented
74C11×#388C2211yescharacteristic, complemented
75C11×#386C2211yescharacteristic
76C11×#386C2211yescharacteristic
77C11×#386C2211yescharacteristic, complemented
78C11×#386C2211yescharacteristic, complemented
79C11×#382C2211yescharacteristic, complemented
80#10622844C2211yescharacteristic
81#10622842C2211yescharacteristic, complemented
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic, complemented
85#10622835C2211yescharacteristic
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622826C2211yescharacteristic, complemented
92#10622825C2211yescharacteristic, complemented
93#10622823C2211yescharacteristic, complemented
94#10622823C2211yescharacteristic, complemented
95C4×C22⋊Dic11C2211yescharacteristic, complemented
96#10622606C2211yescharacteristic, complemented
97#10622605C2211yescharacteristic
98#10622603C2211yescharacteristic
99#10622603C2211yescharacteristic
100#10622595C2211yescharacteristic, complemented
101#10622593C2211yescharacteristic, complemented
102#10622585C2211yescharacteristic, complemented
103#10622585C2211yescharacteristic, complemented
104#10622574C2211yescharacteristic
105#10622574C2211yescharacteristic
106#10622573C2211yescharacteristic
107#10622573C2211yescharacteristic
108#10622572C2211yescharacteristic
109#10622572C2211yescharacteristic
110#10622572C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622571C2211yescharacteristic, complemented
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic, complemented
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622568C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic, complemented
130#10622562C2211yescharacteristic
131#10622561C2211yescharacteristic
132#10622561C2211yescharacteristic
133#10622560C2211yescharacteristic
134#10622560C2211yescharacteristic
135#10622560C2211yescharacteristic, complemented
136#10622559C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic
138#10622558C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic, complemented
141#10622555C2211yescharacteristic, complemented
142#10622553C2211yescharacteristic
143#10622553C2211yescharacteristic
144#10622553C2211yescharacteristic
145#10622553C2211yescharacteristic
146#10622553C2211yescharacteristic, complemented
147#10622553C2211yescharacteristic, complemented
148#10622552C2211yescharacteristic
149#10622552C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151#10622546C2211yescharacteristic, complemented
152#10622546C2211yescharacteristic, complemented
153#10622545C2211yescharacteristic, complemented
154C4×Dic11⋊C4C2211yescharacteristic, complemented
155#10622541C2211yescharacteristic, complemented
156#10622541C2211yescharacteristic, complemented
157#10622289C2211yescharacteristic
158#10622289C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic
160#10622288C2211yescharacteristic
161#10622288C2211yescharacteristic
162#10622288C2211yescharacteristic
163#10622287C2211yescharacteristic
164#10622286C2211yescharacteristic
165#10622286C2211yescharacteristic
166#10622286C2211yescharacteristic, complemented
167#10622285C2211yescharacteristic
168#10622285C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622282C2211yescharacteristic, complemented
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic, complemented
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622277C2211yescharacteristic
176#10622277C2211yescharacteristic
177#10622273C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622269C2211yescharacteristic, complemented
180#10622269C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#124—42no—
214C11×C22⋊Q8—24no—
215C11×#121—24no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C42×C11—42no—
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252#67000—24no—
253#66997—24no—
254#66992—24no—
255#66991—24no—
256#66990—24no—
257#66990—24no—
258#66989—24no—
259#66988—24no—
260#66983—42no—
261#66982—24no—
262#66982—24no—
263C4×C22⋊D11D418yescomplemented
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324#66951—24no—
325#66951—24no—
326#66949—24no—
327#66949—24no—
328#66949—24no—
329#66947—24no—
330#66945—24no—
331#66940—24no—
332#66938—24no—
333#66938—24no—
334#66938—24no—
335#66937—24no—
336#66935—42no—
337(C22⋊D11)⋊C4—24no—
338C22⋊C4×D11—24no—
339#66932—24no—
340#66932—24no—
341#66931—42no—
342#66925—42no—
343C11×#95C2311yescharacteristic
344C11×#95C2311yescharacteristic
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
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
379#36745—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C23×D11—22no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11—41no—
389C23×D11—41no—
390C23×D11C2411yescharacteristic
391C23×D11C2411yescharacteristic
392C23×D11C2411yescharacteristic
393C2×Q8×C11—22no—
394C2×Q8×C11—41no—
395C2×Q8×C11—41no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C2×D4×C11—41no—
404C2×D4×C11—41no—
405C22×C4×C11—22no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11C2×D414yes—
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—41no—
431C2×C22⋊D11—41no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11C2×D414yes—
447C22×Dic11—22no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—41no—
466C2×D44—41no—
467C2×D44—41no—
468C2×D44—41no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—41no—
476C2×C4×D11—41no—
477C2×C4×D11C2×D414yes—
478C2×Dic22—22no—
479C2×Dic22—22no—
480C2×Dic22—22no—
481C2×Dic22—41no—
482C2×Dic22—41no—
483C2×Dic22—41no—
484C2×Dic22—41no—
485C2×Dic22—41no—
486C2×Dic22—41no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C42×C11—22no—
504C42×C11—22no—
505C42×C11—41no—
506C42×C11—41no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11C2×D414yes—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4C2×D414yes—
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4C2×D414yes—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11C2×D414yes—
582C2×#542—111no—
583C2×#538—111no—
584#2854—111no—
585#2850D1111yescharacteristic, complemented
586#2723—111no—
587#2716—111no—
588#2715—111no—
589#2712—111no—
590#2700—111no—
591#2698—111no—
592#2696—111no—
593#2691—111no—
594#2688—111no—
595#2686—111no—
596#2685—111no—
597#2684—111no—
598#2676—111no—
599#2674—111no—
600#2670—111no—
601#2668—111no—
602#2663—111no—
603#2661—111no—
604#2610—111no—
605#2604—111no—
606#2602—111no—
607#2601—111no—
608#2592—111no—
609#2561—111no—
610#2415—111no—
611#2411—111no—
612#2290—111no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11C22×D412yes—
634C23×C11C2511yescharacteristic
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—44no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11—82no—
661C22×D11—82no—
662C22×D11C22×D412yes—
663Q8×C11—82no—
664D4×C11—82no—
665D4×C11—82no—
666D4×C11—82no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—44no—
701C2×C4×C11—44no—
702C2×C4×C11—44no—
703C2×C4×C11C22×D412yes—
704C2×C4×C11C22×D412yes—
705C2×C4×C11H(5,𝔽2)12yes—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—82no—
709C22⋊D11—82no—
710C22⋊D11—82no—
711C22⋊D11—82no—
712C22⋊D11—82no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—82no—
750C2×Dic11C22×D412yes—
751C2×Dic11C22×D412yes—
752C2×Dic11C22×D412yes—
753D44—82no—
754D44—82no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—82no—
758Dic22—44no—
759Dic22—82no—
760Dic22—82no—
761#542—228no—
762#538—228no—
763C2×C4⋊Q8—111no—
764C2×#126—111no—
765C2×#126—111no—
766C2×#126—111no—
767C2×#126—111no—
768C2×#124—111no—
769C2×#124—111no—
770C2×#124—111no—
771C2×#124—111no—
772C2×#124—111no—
773C2×#124C2×D1111yescharacteristic
774C2×#123—111no—
775C2×#123—111no—
776C2×#123—111no—
777C2×#123—111no—
778C2×C22⋊Q8—111no—
779C2×C22⋊Q8—111no—
780C2×C22⋊Q8—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8C2×D1111yescharacteristic, complemented
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121C2×D1111yescharacteristic
788C2×#120—111no—
789C2×#120—111no—
790C2×#120—111no—
791C2×C4×Q8—111no—
792C2×C4×D4—111no—
793C2×C4×D4—111no—
794C2×#117—111no—
795C2×#117—111no—
796C22×C22⋊C4—111no—
797C22×C42C2×D1111yescharacteristic, complemented
798#400—111no—
799#400—111no—
800#399—111no—
801#399—111no—
802#398—111no—
803#398—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#395—111no—
819#395—111no—
820#395—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#393—111no—
835#393—111no—
836#393—111no—
837#393—111no—
838#393—111no—
839#393—111no—
840#393—111no—
841#392—111no—
842#392—111no—
843#392—111no—
844#392—111no—
845#392—111no—
846#391—111no—
847#391—111no—
848#391—111no—
849#391C2×D1111yescharacteristic, complemented
850#390—111no—
851#390—111no—
852#390—111no—
853#390—111no—
854#390—111no—
855#390—111no—
856#390C2×D1111yescharacteristic
857#389—111no—
858#389—111no—
859#389—111no—
860#389—111no—
861#389—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388C2×D1111yescharacteristic
879#388C2×D1111yescharacteristic
880#388C2×D1111yescharacteristic, complemented
881#388C2×D1111yescharacteristic, complemented
882#387—111no—
883#387—111no—
884#387—111no—
885#387—111no—
886#387—111no—
887#387—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386—111no—
895#386—111no—
896#386—111no—
897#386C2×D1111yescharacteristic
898#386C2×D1111yescharacteristic
899#386C2×D1111yescharacteristic, complemented
900#386C2×D1111yescharacteristic, complemented
901#385—111no—
902#385—111no—
903#385—111no—
904#385—111no—
905#385—111no—
906#382C2×D1111yescharacteristic, complemented
907#381—111no—
908#381—111no—
909#380—111no—
910#380—111no—
911#379—111no—
912#379—111no—
913#379—111no—
914C4×C4⋊C4—111no—
915C4×C22⋊C4—111no—
916C4×C22⋊C4—111no—
917#376—111no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11C23×D411yescharacteristic
940C22×C11C2×H(5,𝔽2)11yescharacteristic
941C22×C11#58511yescharacteristic
942C22×C11#58511yescharacteristic
943C22×C11#58511yescharacteristic
944C22×C11#58511yescharacteristic
945C22×C11#58511yescharacteristic
946C2×D11—22no—
947C2×D11—22no—
948C2×D11—22no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—88no—
968C4×C11—22no—
969C4×C11—22no—
970C4×C11—22no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980Dic11—22no—
981Dic11—22no—
982Dic11—22no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993C25—111no—
994C22×Q8—111no—
995C22×Q8—111no—
996C22×Q8—111no—
997C22×Q8C22×D1111yescharacteristic
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4C22×D1111yescharacteristic
1008C22×D4C22×D1111yescharacteristic
1009C22×D4C22×D1111yescharacteristic
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4C22×D1111yescharacteristic
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C4⋊Q8—224no—
1018#126—224no—
1019#126—224no—
1020#126—224no—
1021#126—224no—
1022#124—42no—
1023#124—224no—
1024#124—224no—
1025#124—224no—
1026#124—224no—
1027#124—224no—
1028#123—224no—
1029#123—224no—
1030#123—224no—
1031#123—224no—
1032C22⋊Q8—24no—
1033C22⋊Q8—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—442no—
1037#121—24no—
1038#121—224no—
1039#121—224no—
1040#121—224no—
1041#121—442no—
1042#120—224no—
1043#120—224no—
1044#120—442no—
1045C4×Q8—224no—
1046C4×D4—118no—
1047C4×D4—224no—
1048#117—224no—
1049#117—442no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—224no—
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C22⋊C4C22×D1111yescharacteristic
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C42—42no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—111no—
1140C2×C42—111no—
1141C2×C42—111no—
1142C2×C42—111no—
1143C2×C42C22×D1111yescharacteristic
1144C2×C42C22×D1111yescharacteristic
1145C2×C42C22×D1111yescharacteristic
1146C2×C42C22×D1111yescharacteristic
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181#95C22×D1111yescharacteristic
1182#95C22×D1111yescharacteristic
1183C2×C11—42no—
1184C2×C11—81no—
1185C2×C11—81no—
1186C2×C11#344911yescharacteristic
1187C2×C11#349611yescharacteristic
1188C2×C11#350011yescharacteristic
1189C2×C11#353311yescharacteristic
1190C2×C11#354011yescharacteristic
1191C2×C11#356611yescharacteristic
1192C2×C11#356811yescharacteristic
1193D11—42no—
1194D11—81no—
1195D11—81no—
1196C24—111no—
1197C24—111no—
1198C24—111no—
1199C24—222no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24—441no—
1204C24—441no—
1205C24—441no—
1206C24C23×D1111yescharacteristic
1207C24C23×D1111yescharacteristic
1208C24C23×D1111yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—222no—
1213C2×Q8—222no—
1214C2×Q8—222no—
1215C2×Q8—441no—
1216C2×Q8—441no—
1217C2×Q8—441no—
1218C2×Q8—441no—
1219C2×Q8—441no—
1220C2×Q8—441no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—114no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4—441no—
1245C2×D4—441no—
1246C2×D4—441no—
1247C2×D4—441no—
1248C2×D4—441no—
1249C2×D4—441no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4—441no—
1254C2×D4—441no—
1255C2×D4—441no—
1256C2×D4—441no—
1257C22×C4—22no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—114no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4D4×D1114yes—
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—114no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—114no—
1344C22⋊C4—114no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
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—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—114no—
1392C42—222no—
1393C42—222no—
1394C42—222no—
1395C42—222no—
1396C42—441no—
1397C42—441no—
1398C11#3674511yescharacteristic, complemented, Sylow
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—112no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—444no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23—882no—
1446C23—882no—
1447C23C2×D4×D1112yes—
1448C23C24×D1111yescharacteristic
1449Q8—82no—
1450Q8—444no—
1451Q8—882no—
1452Q8—882no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—444no—
1457D4—444no—
1458D4—882no—
1459D4—882no—
1460D4—882no—
1461D4—882no—
1462D4—882no—
1463D4—882no—
1464D4—882no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—112no—
1502C2×C4—112no—
1503C2×C4—112no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—444no—
1541C2×C4—444no—
1542C2×C4—882no—
1543C2×C4—882no—
1544C2×C4C2×D4×D1112yes—
1545C2×C4C2×D4×D1112yes—
1546C2×C4#6703712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—222no—
1569C22—222no—
1570C22—222no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—888no—
1590C22C22×D4×D1111yescharacteristic
1591C22C2×#6703711yescharacteristic
1592C22#1062345311yescharacteristic
1593C22#1062345311yescharacteristic
1594C22#1062345311yescharacteristic
1595C22#1062345311yescharacteristic
1596C22#1062345311yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—222no—
1610C4—222no—
1611C4—222no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4—441no—
1622C2—42no—
1623C2—81no—
1624C2—81no—
1625C2—442no—
1626C2—881no—
1627C2—881no—
1628C2#1308194311yescharacteristic
1629C2#1308237311yescharacteristic
1630C2#1308240611yescharacteristic
1631C2#1308278011yescharacteristic
1632C2#1308289111yescharacteristic
1633C2#1308329211yescharacteristic
1634C2#1308331211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2850C2
hypercenter#2850D11
hypocenterC11#36745
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. C2×#10623171C2semidirect
2. C2×#10623144C2semidirect
3. #13076947C2semidirect
4. #13075530C2semidirect
5. #13075437C2semidirect
6. #13075422C2semidirect
7. #13075383C2semidirect
8. #13075211C2semidirect
9. #13075187C2semidirect
10. #13075161C2semidirect
11. #13075094C2semidirect
12. #13075047C2semidirect
13. #13075017C2semidirect
14. #13075002C2semidirect
15. #13074993C2semidirect
16. #13074918C2semidirect
17. #13074891C2semidirect
18. #13074837C2semidirect
19. #13074821C2semidirect
20. #13074767C2semidirect
21. #13074745C2semidirect
22. #13074302C2semidirect
23. #13074252C2semidirect
24. #13074233C2semidirect
25. #13074220C2semidirect
26. #13074102C2semidirect
27. #13073772C2semidirect
28. #13072042C2semidirect
29. #13072000C2semidirect
30. #13071059C2semidirect
31. C11×#2850C2semidirect
33. C2×C11×C22⋊Q8C22semidirect
35. C22×C42×C11C22semidirect
37. C2×#66997C22semidirect
46. C2×#66982C22semidirect
54. C2×#66949C22semidirect
56. C2×#66945C22semidirect
57. C2×#66940C22semidirect
60. C2×#66938C22semidirect
66. C2×#66932C22semidirect
67. C2×#66931C22semidirect
69. C11×#391C22semidirect
73. C11×#388C22semidirect
74. C11×#388C22semidirect
77. C11×#386C22semidirect
78. C11×#386C22semidirect
79. C11×#382C22semidirect
81. #10622842C22semidirect
84. #10622836C22semidirect
87. #10622835C22semidirect
91. #10622826C22semidirect
92. #10622825C22semidirect
93. #10622823C22semidirect
94. #10622823C22semidirect
95. C4×C22⋊Dic11C22semidirect
96. #10622606C22semidirect
100. #10622595C22semidirect
101. #10622593C22semidirect
102. #10622585C22semidirect
103. #10622585C22semidirect
114. #10622571C22semidirect
118. #10622570C22semidirect
120. #10622569C22semidirect
125. #10622565C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
129. #10622564C22semidirect
135. #10622560C22semidirect
136. #10622559C22semidirect
140. #10622558C22semidirect
141. #10622555C22semidirect
146. #10622553C22semidirect
147. #10622553C22semidirect
151. #10622546C22semidirect
152. #10622546C22semidirect
153. #10622545C22semidirect
154. C4×Dic11⋊C4C22semidirect
155. #10622541C22semidirect
156. #10622541C22semidirect
158. #10622289C22semidirect
166. #10622286C22semidirect
170. #10622282C22semidirect
172. #10622281C22semidirect
177. #10622273C22semidirect
178. #10622270C22semidirect
179. #10622269C22semidirect
180. #10622269C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
263. C4×C22⋊D11D4semidirect
585. #2850D11semidirect
782. C2×C22⋊Q8C2×D11semidirect
797. C22×C42C2×D11semidirect
849. #391C2×D11semidirect
880. #388C2×D11semidirect
881. #388C2×D11semidirect
899. #386C2×D11semidirect
900. #386C2×D11semidirect
906. #382C2×D11semidirect
1398. C11#36745semidirect

Maximal subgroups

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

subgroupindex
C2×#106231712
C2×#106231442
#130769472
#130755302
#130754372
#130754222
#130753832
#130752112
#130751872
#130751612
#130750942
#130750472
#130750172
#130750022
#130749932
#130749182
#130748912
#130748372
#130748212
#130747672
#130747452
#130743022
#130742522
#130742332
#130742202
#130741022
#130737722
#130720422
#130720002
#130710592
C11×#28502
#3674511