Finite Group Databasebeta

← #14962009

Subgroups — #14962009

Order 2816.

1574 conjugacy classes of subgroups.

The subgroup lattice has 1414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076951C211yesmaximal, characteristic, complemented
2#13076914C211yesmaximal, characteristic, complemented
3#13076485C211yesmaximal, characteristic, complemented
4#13076480C211yesmaximal, characteristic, complemented
5#13076375C211yesmaximal, characteristic, complemented
6#13076237C211yesmaximal, characteristic, complemented
7#13076233C211yesmaximal, characteristic, complemented
8#13076158C211yesmaximal, characteristic, complemented
9#13076021C211yesmaximal, characteristic, complemented
10#13075949C211yesmaximal, characteristic, complemented
11#13075883C211yesmaximal, characteristic, complemented
12#13075861C211yesmaximal, characteristic, complemented
13#13075796C211yesmaximal, characteristic, complemented
14#13075721C211yesmaximal, characteristic, complemented
15#13075610C211yesmaximal, characteristic, complemented
16#13075537C211yesmaximal, characteristic, complemented
17#13075424C211yesmaximal, characteristic, complemented
18#13075389C211yesmaximal, characteristic, complemented
19#13074537C211yesmaximal, characteristic, complemented
20#13074504C211yesmaximal, characteristic
21#13074157C211yesmaximal, characteristic, complemented
22#13074129C211yesmaximal, characteristic, complemented
23#13073914C211yesmaximal, characteristic, complemented
24#13073450C211yesmaximal, characteristic, complemented
25#13073403C211yesmaximal, characteristic, complemented
26#13072846C211yesmaximal, characteristic, complemented
27#13072769C211yesmaximal, characteristic, complemented
28#13071376C211yesmaximal, characteristic, complemented
29#13071370C211yesmaximal, characteristic, complemented
30#13071062C211yesmaximal, characteristic, complemented
31C11×#2578C211yesmaximal, characteristic, complemented
32C2×C4×C22⋊D11C2211yescharacteristic
33C2×#66979C2211yescharacteristic
34C2×#66949C2211yescharacteristic
35C2×#66949C2211yescharacteristic
36C2×#66938C2211yescharacteristic
37C2×#66938C2211yescharacteristic
38C2×#66937C2211yescharacteristic
39C2×#66932C2211yescharacteristic
40C2×C42×D11C2211yescharacteristic
41C11×#400C2211yescharacteristic
42C11×#397C2211yescharacteristic
43C11×#397C2211yescharacteristic
44C11×#394C2211yescharacteristic
45C11×#388C2211yescharacteristic
46C11×#388C2211yescharacteristic
47C11×#387C2211yescharacteristic
48C11×#387C2211yescharacteristic
49C11×#386C2211yescharacteristic
50C11×#386C2211yescharacteristic
51C11×#385C2211yescharacteristic
52C11×#383C2211yescharacteristic
53C11×#380C2211yescharacteristic
54C4×C11×C22⋊C4C2211yescharacteristic
55C4×C11×C22⋊C4C2211yescharacteristic
56#10622836C2211yescharacteristic
57#10622836C2211yescharacteristic
58#10622835C2211yescharacteristic
59#10622834C2211yescharacteristic
60#10622826C2211yescharacteristic
61#10622826C2211yescharacteristic
62#10622826C2211yescharacteristic
63#10622824C2211yescharacteristic
64#10622823C2211yescharacteristic
65#10622823C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic
68#10622606C2211yescharacteristic
69#10622603C2211yescharacteristic
70#10622603C2211yescharacteristic
71#10622603C2211yescharacteristic
72#10622602C2211yescharacteristic
73#10622602C2211yescharacteristic
74#10622597C2211yescharacteristic
75#10622594C2211yescharacteristic
76#10622594C2211yescharacteristic
77#10622592C2211yescharacteristic
78#10622591C2211yescharacteristic
79#10622591C2211yescharacteristic
80C4⋊C4×Dic11C2211yescharacteristic
81#10622587C2211yescharacteristic
82#10622586C2211yescharacteristic
83#10622585C2211yescharacteristic
84#10622574C2211yescharacteristic
85#10622574C2211yescharacteristic
86#10622574C2211yescharacteristic
87#10622573C2211yescharacteristic
88#10622572C2211yescharacteristic
89#10622572C2211yescharacteristic
90#10622572C2211yescharacteristic
91#10622570C2211yescharacteristic
92#10622570C2211yescharacteristic
93#10622569C2211yescharacteristic
94#10622569C2211yescharacteristic
95#10622569C2211yescharacteristic
96#10622569C2211yescharacteristic
97#10622569C2211yescharacteristic
98#10622569C2211yescharacteristic
99#10622566C2211yescharacteristic
100#10622565C2211yescharacteristic
101#10622565C2211yescharacteristic
102#10622565C2211yescharacteristic
103#10622565C2211yescharacteristic
104#10622564C2211yescharacteristic
105#10622562C2211yescharacteristic
106#10622562C2211yescharacteristic
107#10622562C2211yescharacteristic
108#10622562C2211yescharacteristic
109#10622560C2211yescharacteristic
110#10622560C2211yescharacteristic
111#10622558C2211yescharacteristic
112#10622558C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622552C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622545C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130#10622542C2211yescharacteristic
131#10622289C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622287C2211yescharacteristic
136#10622285C2211yescharacteristic
137#10622283C2211yescharacteristic
138#10622283C2211yescharacteristic
139#10622283C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622281C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622280C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622277C2211yescharacteristic
153#10622277C2211yescharacteristic
154#10622277C2211yescharacteristic
155C11⋊#401C2211yescharacteristic
156C11⋊#401C2211yescharacteristic
157C11⋊#401C2211yescharacteristic
158#10622274C2211yescharacteristic
159#10622272C2211yescharacteristic
160#10622272C2211yescharacteristic
161#10622271C2211yescharacteristic
162#10622271C2211yescharacteristic
163#10622271C2211yescharacteristic
164#10622271C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622269C2211yescharacteristic
167#10622268C2211yescharacteristic
168#10622268C2211yescharacteristic
169#10622268C2211yescharacteristic
170#10622268C2211yescharacteristic
171#10622268C2211yescharacteristic
172#10622268C2211yescharacteristic
173#10622267C2211yescharacteristic
174#10622266C2211yescharacteristic
175#10622266C2211yescharacteristic
176#10622266C2211yescharacteristic
177#10622265C2211yescharacteristic
178#10622263C2211yescharacteristic
179#10622263C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C4×C22⋊D11—24no—
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252#66979—42no—
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288#66949—24no—
289#66949—42no—
290#66938—42no—
291#66938—42no—
292#66937—24no—
293#66932—42no—
294C42×D11—42no—
295C11×#95C2311yescharacteristic
296C11×#95C2311yescharacteristic
297C11×#95C2311yescharacteristic
298C11×#95C2311yescharacteristic
299C11×#95C2311yescharacteristic
300C11×#95C2311yescharacteristic
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11⋊#95C2311yescharacteristic
310C11⋊#95C2311yescharacteristic
311C11⋊#95C2311yescharacteristic
312C11⋊#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
315C11⋊#95C2311yescharacteristic
316C11⋊#95C2311yescharacteristic
317C11⋊#95C2311yescharacteristic
318C11⋊#95C2311yescharacteristic
319C11⋊#95C2311yescharacteristic
320C11⋊#95C2311yescharacteristic
321C11⋊#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351#36773—111nomaximal, Sylow
352C24×C11C2411yescharacteristic
353C24×C11C2411yescharacteristic
354C23×D11C2411yescharacteristic
355C23×D11C2411yescharacteristic
356C2×D4×C11—41no—
357C2×D4×C11—41no—
358C2×D4×C11—41no—
359C22×C4×C11—22no—
360C22×C4×C11—41no—
361C22×C4×C11—41no—
362C22×C4×C11—41no—
363C22×C4×C11—41no—
364C22×C4×C11—41no—
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C2×C22⋊D11—22no—
379C2×C22⋊D11—22no—
380C2×C22⋊D11—22no—
381C2×C22⋊D11—41no—
382C2×C22⋊D11—41no—
383C2×C22⋊D11—41no—
384C2×C22⋊D11—41no—
385C2×C22⋊D11—41no—
386C2×C22⋊D11—41no—
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C2×C22⋊D11—41no—
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C2×D44—22no—
405C2×D44—41no—
406C2×D44—41no—
407C2×C4×D11—22no—
408C2×C4×D11—41no—
409C2×C4×D11—41no—
410C2×C4×D11—41no—
411C2×C4×D11—41no—
412C2×C4×D11—41no—
413C2×C4×D11—41no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11#4114yes—
419C2×Dic22—22no—
420C2×Dic22—22no—
421C2×Dic22—41no—
422C2×Dic22—41no—
423C2×Dic22—41no—
424C2×Dic22—41no—
425C11×C4⋊C4—22no—
426C11×C4⋊C4—41no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C22⋊C4—22no—
431C11×C22⋊C4—41no—
432C11×C22⋊C4—41no—
433C11×C22⋊C4—41no—
434C11×C22⋊C4—41no—
435C11×C22⋊C4—41no—
436C11×C22⋊C4—41no—
437C11×C22⋊C4—41no—
438C11×C22⋊C4—41no—
439C11×C22⋊C4—41no—
440C42×C11—41no—
441C42×C11—41no—
442C42×C11—41no—
443C22⋊Dic11—22no—
444C22⋊Dic11—22no—
445C22⋊Dic11—22no—
446C22⋊Dic11—41no—
447C22⋊Dic11—41no—
448C22⋊Dic11—41no—
449C22⋊Dic11—41no—
450C22⋊Dic11—41no—
451C22⋊Dic11—41no—
452C22⋊Dic11—41no—
453C22⋊Dic11—41no—
454C22⋊Dic11—41no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—41no—
461(C2×D11)⋊C4—41no—
462(C2×D11)⋊C4—41no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4—41no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475C4⋊Dic11—22no—
476C4⋊Dic11—41no—
477C4⋊Dic11—41no—
478C4⋊Dic11—41no—
479C4⋊Dic11—41no—
480C4⋊Dic11—41no—
481C4⋊Dic11—41no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—41no—
504C4×Dic11—41no—
505C4×Dic11—41no—
506C4×Dic11—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510#2855—111no—
511#2850—111no—
512#2798—111no—
513#2797—111no—
514#2789—111no—
515#2778—111no—
516#2778—111no—
517#2773—111no—
518#2762—111no—
519#2757—111no—
520#2752—111no—
521#2750—111no—
522#2746—111no—
523#2740—111no—
524#2730—111no—
525#2723—111no—
526#2715—111no—
527#2712—111no—
528#2638—111no—
529#2635—111no—
530#2596—111no—
531#2594—111no—
532#2578D1111yescharacteristic, complemented
533#2576—111no—
534#2530—111no—
535#2527—111no—
536#2479—111no—
537#2474—111no—
538#2333—111no—
539#2332—111no—
540#2290—111no—
541C23×C11—21no—
542C23×C11—21no—
543C23×C11—21no—
544C23×C11—21no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11C2511yescharacteristic
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—21no—
568C22×D11—21no—
569C22×D11C2×#4112yes—
570D4×C11—82no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—44no—
610C2×C4×C11—82no—
611C2×C4×C11C2×#4112yes—
612C22⋊D11—44no—
613C22⋊D11—82no—
614C22⋊D11—82no—
615C22⋊D11—82no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11C2×#4112yes—
657C2×Dic11H(5,𝔽2)12yes—
658D44—82no—
659C4×D11—44no—
660C4×D11—44no—
661C4×D11—44no—
662C4×D11—82no—
663Dic22—82no—
664Dic22—82no—
665C2×#126—111no—
666C2×#124—111no—
667C2×#124—111no—
668C2×C22⋊Q8—111no—
669C2×C22⋊Q8—111no—
670C2×#121—111no—
671C2×C4×D4—111no—
672C2×#117—111no—
673C22×C42—111no—
674#401—111no—
675#401—111no—
676#401—111no—
677#400—111no—
678#400—111no—
679#400—111no—
680#400—111no—
681#400—111no—
682#400—111no—
683#400C2×D1111yescharacteristic
684#399—111no—
685#399—111no—
686#399—111no—
687#399—111no—
688#398—111no—
689#398—111no—
690#398—111no—
691#397—111no—
692#397—111no—
693#397—111no—
694#397—111no—
695#397—111no—
696#397—111no—
697#397—111no—
698#397—111no—
699#397—111no—
700#397—111no—
701#397C2×D1111yescharacteristic
702#397C2×D1111yescharacteristic
703#396—111no—
704#396—111no—
705#396—111no—
706#395—111no—
707#395—111no—
708#394—111no—
709#394—111no—
710#394—111no—
711#394—111no—
712#394—111no—
713#394—111no—
714#394—111no—
715#394—111no—
716#394C2×D1111yescharacteristic
717#393—111no—
718#393—111no—
719#392—111no—
720#392—111no—
721#392—111no—
722#391—111no—
723#391—111no—
724#391—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#390—111no—
729#390—111no—
730#390—111no—
731#390—111no—
732#389—111no—
733#389—111no—
734#389—111no—
735#389—111no—
736#388—111no—
737#388—111no—
738#388—111no—
739#388—111no—
740#388—111no—
741#388—111no—
742#388—111no—
743#388—111no—
744#388—111no—
745#388—111no—
746#388—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388C2×D1111yescharacteristic
758#388C2×D1111yescharacteristic
759#387—111no—
760#387—111no—
761#387—111no—
762#387—111no—
763#387—111no—
764#387—111no—
765#387—111no—
766#387—111no—
767#387—111no—
768#387—111no—
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387C2×D1111yescharacteristic
779#387C2×D1111yescharacteristic
780#386—111no—
781#386—111no—
782#386—111no—
783#386—111no—
784#386—111no—
785#386—111no—
786#386—111no—
787#386—111no—
788#386—111no—
789#386—111no—
790#386—111no—
791#386—111no—
792#386C2×D1111yescharacteristic
793#386C2×D1111yescharacteristic
794#385—111no—
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385C2×D1111yescharacteristic
802#383C2×D1111yescharacteristic
803#382—111no—
804#382—111no—
805#381—111no—
806#381—111no—
807#381—111no—
808#381—111no—
809#380—111no—
810#380—111no—
811#380C2×D1111yescharacteristic
812C4×C4⋊C4—111no—
813C4×C4⋊C4—111no—
814C4×C4⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4C2×D1111yescharacteristic
818C4×C22⋊C4C2×D1111yescharacteristic
819#376—111no—
820C22×C11—41no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11—41no—
826C22×C11—41no—
827C22×C11—41no—
828C22×C11—41no—
829C22×C11—41no—
830C22×C11—41no—
831C22×C11—41no—
832C22×C11—41no—
833C22×C11—41no—
834C22×C11C22×#4111yescharacteristic
835C22×C11C2×H(5,𝔽2)11yescharacteristic
836C22×C11#58511yescharacteristic
837C22×C11#58511yescharacteristic
838C22×C11#58511yescharacteristic
839C22×C11#58511yescharacteristic
840C22×C11#58511yescharacteristic
841C2×D11—22no—
842C2×D11—22no—
843C2×D11—22no—
844C2×D11—41no—
845C2×D11—41no—
846C2×D11—41no—
847C2×D11—41no—
848C2×D11—41no—
849C2×D11—41no—
850C2×D11—41no—
851C2×D11—41no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C4×C11—22no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866C4×C11—41no—
867C4×C11—41no—
868Dic11—22no—
869Dic11—22no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11—41no—
881Dic11—41no—
882C22×Q8—111no—
883C22×Q8—111no—
884C22×D4—111no—
885C22×D4—111no—
886C22×D4—111no—
887C22×D4—111no—
888C22×D4—111no—
889C22×D4C22×D1111yescharacteristic
890C23×C4—111no—
891C23×C4—111no—
892C23×C4—111no—
893C23×C4—111no—
894C23×C4C22×D1111yescharacteristic
895C23×C4C22×D1111yescharacteristic
896#126—442no—
897#124—442no—
898#124—442no—
899C22⋊Q8—224no—
900C22⋊Q8—442no—
901#121—224no—
902C4×D4—224no—
903#117—442no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4C22×D1111yescharacteristic
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C22⋊C4C22×D1111yescharacteristic
969C2×C22⋊C4C22×D1111yescharacteristic
970C2×C22⋊C4C22×D1111yescharacteristic
971C2×C22⋊C4C22×D1111yescharacteristic
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C22⋊C4C22×D1111yescharacteristic
974C2×C22⋊C4C22×D1111yescharacteristic
975C2×C22⋊C4C22×D1111yescharacteristic
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—442no—
987C2×C42C22×D1111yescharacteristic
988C2×C42C22×D1111yescharacteristic
989C2×C42C22×D1111yescharacteristic
990#95—111no—
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046C2×C11—81no—
1047C2×C11—81no—
1048C2×C11#345511yescharacteristic
1049C2×C11#350511yescharacteristic
1050C2×C11#351011yescharacteristic
1051C2×C11#353311yescharacteristic
1052C2×C11#353911yescharacteristic
1053C2×C11#356611yescharacteristic
1054C2×C11#356811yescharacteristic
1055D11—42no—
1056D11—81no—
1057C24—111no—
1058C24—111no—
1059C24C23×D1111yescharacteristic
1060C24C23×D1111yescharacteristic
1061C2×Q8—222no—
1062C2×Q8—222no—
1063C2×Q8—441no—
1064C2×Q8—441no—
1065C2×Q8—441no—
1066C2×Q8—441no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—222no—
1071C2×D4—222no—
1072C2×D4—222no—
1073C2×D4—222no—
1074C2×D4—441no—
1075C2×D4—441no—
1076C2×D4—441no—
1077C2×D4—441no—
1078C2×D4—441no—
1079C2×D4—441no—
1080C2×D4—441no—
1081C2×D4—441no—
1082C2×D4—441no—
1083C2×D4—441no—
1084C2×D4—441no—
1085C22×C4—22no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—111no—
1092C22×C4—111no—
1093C22×C4—114no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—222no—
1107C22×C4—441no—
1108C22×C4—441no—
1109C22×C4—441no—
1110C22×C4—441no—
1111C22×C4—441no—
1112C22×C4—441no—
1113C22×C4—441no—
1114C22×C4—441no—
1115C22×C4—441no—
1116C22×C4—441no—
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C4⋊C4—22no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—41no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C22⋊C4—22no—
1161C22⋊C4—41no—
1162C22⋊C4—41no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—222no—
1171C22⋊C4—222no—
1172C22⋊C4—222no—
1173C22⋊C4—222no—
1174C22⋊C4—222no—
1175C22⋊C4—222no—
1176C22⋊C4—222no—
1177C22⋊C4—222no—
1178C22⋊C4—441no—
1179C22⋊C4—441no—
1180C22⋊C4—441no—
1181C22⋊C4—441no—
1182C22⋊C4—441no—
1183C22⋊C4—441no—
1184C22⋊C4—441no—
1185C22⋊C4—441no—
1186C22⋊C4—441no—
1187C22⋊C4—441no—
1188C22⋊C4—441no—
1189C22⋊C4—441no—
1190C22⋊C4—441no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C22⋊C4—441no—
1194C22⋊C4—441no—
1195C22⋊C4—441no—
1196C22⋊C4—441no—
1197C22⋊C4—441no—
1198C22⋊C4—441no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—441no—
1209C42—441no—
1210C42—441no—
1211C42—441no—
1212C42—441no—
1213C42—441no—
1214C42—441no—
1215C11#3677311yescharacteristic, complemented, Sylow
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—112no—
1231C23—221no—
1232C23—221no—
1233C23—221no—
1234C23—221no—
1235C23—221no—
1236C23—221no—
1237C23—221no—
1238C23—221no—
1239C23—221no—
1240C23—221no—
1241C23—221no—
1242C23—221no—
1243C23—221no—
1244C23C24×D1111yescharacteristic
1245Q8—882no—
1246Q8—882no—
1247D4—82no—
1248D4—444no—
1249D4—882no—
1250D4—882no—
1251D4—882no—
1252D4—882no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—44no—
1292C2×C4—82no—
1293C2×C4—112no—
1294C2×C4—112no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—444no—
1336C2×C4—444no—
1337C2×C4—444no—
1338C2×C4—882no—
1339C2×C4#41×D1112yes—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22—41no—
1353C22—41no—
1354C22—222no—
1355C22—222no—
1356C22—222no—
1357C22—441no—
1358C22—441no—
1359C22—441no—
1360C22—441no—
1361C22—441no—
1362C22—441no—
1363C22—441no—
1364C22—441no—
1365C22—441no—
1366C22—441no—
1367C22—441no—
1368C22C2×#41×D1111yescharacteristic
1369C22#1062345311yescharacteristic
1370C22#1062345311yescharacteristic
1371C22#1062345311yescharacteristic
1372C22#1062345311yescharacteristic
1373C22D11×H(5,𝔽2)11yescharacteristic
1374C22#1062345511yescharacteristic
1375C4—22no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C4—41no—
1388C4—222no—
1389C4—222no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C4—441no—
1399C4—441no—
1400C4—441no—
1401C4—441no—
1402C2—81no—
1403C2—81no—
1404C2—442no—
1405C2—881no—
1406C2#1308199911yescharacteristic
1407C2#1308245411yescharacteristic
1408C2#1308250511yescharacteristic
1409C2#1308277411yescharacteristic
1410C2#1308286611yescharacteristic
1411C2#1308327411yescharacteristic
1412C2#1308330711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2578C2
prime radical#13074504C2
hypercenter#2578D11
hypocenterC11#36773
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2578

Complements

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

NH ≅ G/Ntype
1. #13076951C2semidirect
2. #13076914C2semidirect
3. #13076485C2semidirect
4. #13076480C2semidirect
5. #13076375C2semidirect
6. #13076237C2semidirect
7. #13076233C2semidirect
8. #13076158C2semidirect
9. #13076021C2semidirect
10. #13075949C2semidirect
11. #13075883C2semidirect
12. #13075861C2semidirect
13. #13075796C2semidirect
14. #13075721C2semidirect
15. #13075610C2semidirect
16. #13075537C2semidirect
17. #13075424C2semidirect
18. #13075389C2semidirect
19. #13074537C2semidirect
21. #13074157C2semidirect
22. #13074129C2semidirect
23. #13073914C2semidirect
24. #13073450C2semidirect
25. #13073403C2semidirect
26. #13072846C2semidirect
27. #13072769C2semidirect
28. #13071376C2semidirect
29. #13071370C2semidirect
30. #13071062C2semidirect
31. C11×#2578C2semidirect
532. #2578D11semidirect
1215. C11#36773semidirect

Maximal subgroups

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

subgroupindex
#130769512
#130769142
#130764852
#130764802
#130763752
#130762372
#130762332
#130761582
#130760212
#130759492
#130758832
#130758612
#130757962
#130757212
#130756102
#130755372
#130754242
#130753892
#130745372
#130745042
#130741572
#130741292
#130739142
#130734502
#130734032
#130728462
#130727692
#130713762
#130713702
#130710622
C11×#25782
#3677311