Finite Group Databasebeta

← #14764972

Subgroups — #14764972

Order 2816.

1096 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622424C211yesmaximal, characteristic
2C4×#66948C211yesmaximal, characteristic, complemented
3#13071105C211yesmaximal, characteristic, complemented
4#13069480C211yesmaximal, characteristic, complemented
5#13069467C211yesmaximal, characteristic, complemented
6#13069300C211yesmaximal, characteristic, complemented
7#13069294C211yesmaximal, characteristic, complemented
8#13069243C211yesmaximal, characteristic, complemented
9#13068963C211yesmaximal, characteristic, complemented
10#13068953C211yesmaximal, characteristic, complemented
11#13068937C211yesmaximal, characteristic, complemented
12#13068812C211yesmaximal, characteristic, complemented
13#13068555C211yesmaximal, characteristic, complemented
14#13068373C211yesmaximal, characteristic, complemented
15C11×#1928C211yesmaximal, characteristic, complemented
16C22×#4343C2211yescharacteristic
17C22×#4325C2211yescharacteristic
18C22×D88C2211yescharacteristic
19C2×#66948C2211yescharacteristic
20C2×#66945C2211yescharacteristic
21C2×C4×D44—21no—
22C2×C4×D44C2211yescharacteristic
23C2×C42×D11C2211yescharacteristic
24C2×C11×#107C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C11×#391C2211yescharacteristic
28C4×C11×C4⋊C4C2211yescharacteristic
29#10622843C2211yescharacteristic
30C2×#66899C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×(C2×D11)⋊C8C2211yescharacteristic
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×C8×Dic11C2211yescharacteristic
36C2×C8×Dic11C2211yescharacteristic
37#10622601C2211yescharacteristic
38#10622601C2211yescharacteristic
39#10622600C2211yescharacteristic
40#10622598C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66873C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45#10622552C2211yescharacteristic
46C4×(C2×D11)⋊C4—21no—
47#10622424C418yescomplemented
48#10622283—21no—
49#10622279—21no—
50#10622279—21no—
51#10622278—21no—
52#10622278—21no—
53#10622278—21no—
54C11×#340C2211yescharacteristic
55C11×#336C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C2×#4343—22no—
62C2×#4343—41no—
63C2×#4343—41no—
64C2×#4343—41no—
65C2×#4343—41no—
66C2×#4343C2×C414yescomplemented
67C22×D44—21no—
68C22×D44—21no—
69C22×D44C2311yescharacteristic
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×C4×D11—21no—
73C22×C4×D11D411yescharacteristic
74C22×C4×D11D411yescharacteristic
75C22×C4×D11C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C42×C11—21no—
82C2×C42×C11C2311yescharacteristic
83C2×#4325—41no—
84C2×#4325—41no—
85C2×#4325C2×C414yescomplemented
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×(C2×D11)⋊C4—21no—
94C2×(C2×D11)⋊C4—21no—
95C2×(C2×D11)⋊C4—21no—
96C2×C4⋊Dic11—21no—
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4×Dic11—21no—
100C2×C4×Dic11D411yescharacteristic
101C2×C4×Dic11D411yescharacteristic
102C2×C4×Dic11C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C2×D88—41no—
106C2×D88—41no—
107C2×D88C2×C414yescomplemented
108#66948—22no—
109#66948C2×C414yes—
110#66945—41no—
111#66945—41no—
112C4×D44—41no—
113C4×D44—41no—
114C4×D44—44no—
115C42×D11—41no—
116C42×D11—41no—
117C11×#107—41no—
118C11×#103—41no—
119C11×#103C2×C414yescomplemented
120C11×#95—21no—
121C11×#95—21no—
122C11×#95—21no—
123#66899—41no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128#66885—41no—
129#66885—41no—
130(C2×D11)⋊C8—22no—
131(C2×D11)⋊C8C2×C414yescomplemented
132C8×Dic11—41no—
133C8×Dic11—41no—
134#66873—41no—
135#66873—41no—
136#66873C2×C414yescomplemented
137#66872—41no—
138#22045—111nomaximal, Sylow
139C23×D11—21no—
140C23×D11—21no—
141C23×D11C2×D411yescharacteristic
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11C22×C412yes—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2411yescharacteristic
155C22×Dic11—21no—
156C22×Dic11—21no—
157C22×Dic11C2×D411yescharacteristic
158C22×Dic11C2×D411yescharacteristic
159C22×Dic11C2×D411yescharacteristic
160#4343—44no—
161#4343—44no—
162#4343—44no—
163#4343—44no—
164C2×D44—24no—
165C2×D44—24no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—42no—
177C2×D44—42no—
178C2×D44—42no—
179C2×D44—42no—
180C2×D44C22×C412yes—
181C2×D44C22×C412yes—
182C2×C4×D11—24no—
183C2×C4×D11—22no—
184C2×C4×D11—22no—
185C2×C4×D11—22no—
186C2×C4×D11—21no—
187C2×C4×D11—21no—
188C2×C4×D11—21no—
189C2×C4×D11—21no—
190C2×C4×D11—41no—
191C2×C4×D11—41no—
192C2×C4×D11—41no—
193C2×C4×D11—42no—
194C2×C4×D11—42no—
195C2×C4×D11—42no—
196C2×C4×D11—42no—
197C2×C4×D11—42no—
198C2×C4×D11C22×C412yes—
199C2×C4×D11#4112yes—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11C22×C412yes—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4C22×C412yes—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—42no—
215#4325—44no—
216(C2×D11)⋊C4—24no—
217(C2×D11)⋊C4—42no—
218(C2×D11)⋊C4—42no—
219(C2×D11)⋊C4—42no—
220(C2×D11)⋊C4—42no—
221(C2×D11)⋊C4—42no—
222(C2×D11)⋊C4—42no—
223(C2×D11)⋊C4—42no—
224(C2×D11)⋊C4—42no—
225(C2×D11)⋊C4—42no—
226C4⋊Dic11—21no—
227C4⋊Dic11—21no—
228C4⋊Dic11—21no—
229C4⋊Dic11—21no—
230C4⋊Dic11—42no—
231C4×Dic11—21no—
232C4×Dic11—21no—
233C4×Dic11—41no—
234C4×Dic11—41no—
235C4×Dic11—42no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8—21no—
241C2×C11⋊C8C22×C412yes—
242D88—44no—
243C2×#449—111no—
244C4×#121—111no—
245#2297—111no—
246#1970—111no—
247#1968—111no—
248#1934—111no—
249#1933—111no—
250#1928D1111yescharacteristic, complemented
251#1926—111no—
252#1879—111no—
253#1877—111no—
254#1875—111no—
255#1854—111no—
256#1788—111no—
257C4×C22⋊C8—111no—
258C23×C11C22×D411yescharacteristic
259C22×D11—21no—
260C22×D11—21no—
261C22×D11—21no—
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—22no—
266C22×D11—22no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—41no—
274C22×D11—41no—
275C22×D11—41no—
276C22×D11—41no—
277C22×D11—41no—
278C22×D11—41no—
279C22×D11C4×D412yes—
280Q8×C11—22no—
281Q8×C11—22no—
282Q8×C11—41no—
283Q8×C11—41no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11#13512yes—
302C2×C4×C11C23×C411yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C2×C4×C11H(5,𝔽2)11yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×C4×C11H(5,𝔽2)11yescharacteristic
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11C4×D412yes—
321C2×Dic11#13512yes—
322C2×Dic11AGL(1,ℤ/8)12yes—
323D44—22no—
324D44—22no—
325D44—22no—
326D44—22no—
327D44—48no—
328D44—48no—
329D44—41no—
330D44—41no—
331D44—41no—
332D44—41no—
333C4×D11—22no—
334C4×D11—22no—
335C4×D11—22no—
336C4×D11—22no—
337C4×D11—44no—
338C4×D11—44no—
339C4×D11—48no—
340C4×D11—84no—
341C8×C11—22no—
342C8×C11—41no—
343C11⋊C8—22no—
344C11⋊C8—41no—
345C22×#41—111no—
346C22×SD16—111no—
347C22×D8—111no—
348C2×#121—111no—
349C2×C4×D4—111no—
350C2×C4×D4—221no—
351C2×#117—111no—
352C22×C42—111no—
353#449—118no—
354C2×#107C2×D1111yescharacteristic
355C2×#106—111no—
356C2×#103—111no—
357C2×#103C2×D1111yescharacteristic
358C2×#103C2×D1111yescharacteristic
359C2×#102—111no—
360C2×#102—111no—
361C2×#102—111no—
362C2×#102—111no—
363C2×#102—111no—
364C2×C22⋊C8—111no—
365C2×C22⋊C8—111no—
366C2×C4×C8—111no—
367C2×C4×C8—111no—
368#391—111no—
369#391C2×D1111yescharacteristic
370#390—111no—
371#390—111no—
372#390—111no—
373#389—111no—
374#388—221no—
375#386—221no—
376#386—221no—
377#386—221no—
378#380—111no—
379C4×C4⋊C4C2×D1111yescharacteristic
380C4×C22⋊C4—221no—
381C4×C22⋊C4—221no—
382C4×C22⋊C4—221no—
383#340—111no—
384#340—111no—
385#340—111no—
386#340C2×D1111yescharacteristic
387#336—111no—
388#336C2×D1111yescharacteristic
389C22×C11C2×C4×D411yescharacteristic
390C22×C11#53411yescharacteristic
391C22×C11#53511yescharacteristic
392C22×C11C2×#13511yescharacteristic
393C22×C11C2×#13511yescharacteristic
394C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
395C22×C11#57511yescharacteristic
396C2×D11—22no—
397C2×D11—22no—
398C2×D11—22no—
399C2×D11—41no—
400C2×D11—41no—
401C2×D11—41no—
402C2×D11—41no—
403C2×D11—42no—
404C2×D11—42no—
405C2×D11—42no—
406C2×D11—42no—
407C2×D11—42no—
408C2×D11—42no—
409C2×D11—81no—
410C2×D11—81no—
411C2×D11—81no—
412C2×D11—81no—
413C2×D11—81no—
414C2×D11—81no—
415C2×D11—81no—
416C2×D11—81no—
417C4×C11—22no—
418C4×C11—42no—
419C4×C11—41no—
420C4×C11—42no—
421C4×C11—81no—
422C4×C11—81no—
423C4×C11#51811yescharacteristic
424C4×C11#51811yescharacteristic
425C4×C11#53811yescharacteristic
426C4×C11#53811yescharacteristic
427Dic11—22no—
428Dic11—22no—
429Dic11—22no—
430Dic11—81no—
431Dic11—81no—
432C2×#41—114no—
433C2×#41—222no—
434C2×#41—441no—
435C2×#41—441no—
436C2×#41—441no—
437C2×#41—441no—
438C22×Q8C22×D1111yescharacteristic
439C22×D4—111no—
440C22×D4—111no—
441C22×D4—221no—
442C22×D4—221no—
443C23×C4—111no—
444C23×C4—111no—
445C23×C4—111no—
446C23×C4—221no—
447C23×C4—221no—
448C2×SD16—114no—
449C2×SD16—441no—
450C2×SD16—441no—
451C2×D8—114no—
452C2×D8—441no—
453C2×D8—441no—
454C22×C8—111no—
455C22×C8—111no—
456C22×C8C22×D1111yescharacteristic
457C22×C8C22×D1111yescharacteristic
458#121—114no—
459#121—222no—
460C4×D4—441no—
461C4×D4—441no—
462C4×D4—444no—
463#117—441no—
464#117—441no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4C22×D1111yescharacteristic
469C2×C4⋊C4C22×D1111yescharacteristic
470C2×C4⋊C4C22×D1111yescharacteristic
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C22⋊C4—221no—
476C2×C22⋊C4—221no—
477C2×C22⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—221no—
480C2×C22⋊C4—221no—
481C2×C42—21no—
482C2×C42—111no—
483C2×C42—111no—
484C2×C42—111no—
485C2×C42—221no—
486C2×C42—441no—
487C2×C42—441no—
488C2×C42C22×D1111yescharacteristic
489#107—41no—
490#106—441no—
491#103—41no—
492#103—441no—
493#103C4×D1114yescomplemented
494#102—114no—
495#102—441no—
496#102—441no—
497#102—441no—
498#102—441no—
499C22⋊C8—114no—
500C22⋊C8—222no—
501C4×C8—441no—
502C4×C8—441no—
503#95—21no—
504#95—21no—
505#95—21no—
506#95—221no—
507#95—221no—
508#95—221no—
509#95—221no—
510C2×C11#232111yescharacteristic
511C2×C11C4×#13511yescharacteristic
512C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
513C2×C11#318811yescharacteristic
514C2×C11#319111yescharacteristic
515C2×C11#320711yescharacteristic
516C2×C11#321211yescharacteristic
517D11—42no—
518D11—82no—
519D11—82no—
520C24—111no—
521C24—221no—
522C24—221no—
523#41—444no—
524#41—444no—
525#41—444no—
526#41—444no—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8C2×C4×D1112yes—
533C2×D4—112no—
534C2×D4—112no—
535C2×D4—224no—
536C2×D4—224no—
537C2×D4—221no—
538C2×D4—221no—
539C2×D4—221no—
540C2×D4—221no—
541C2×D4—221no—
542C2×D4—221no—
543C2×D4—221no—
544C2×D4—221no—
545C2×D4—221no—
546C2×D4—221no—
547C2×D4—442no—
548C2×D4—442no—
549C2×D4—442no—
550C2×D4—442no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—111no—
556C22×C4—111no—
557C22×C4—111no—
558C22×C4—112no—
559C22×C4—112no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—224no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—221no—
567C22×C4—222no—
568C22×C4—221no—
569C22×C4—221no—
570C22×C4—441no—
571C22×C4—441no—
572C22×C4—441no—
573C22×C4—442no—
574C22×C4—442no—
575C22×C4—442no—
576C22×C4—442no—
577C22×C4—442no—
578C22×C4D4×D1111yescharacteristic
579C22×C4D4×D1111yescharacteristic
580C22×C4C23×D1111yescharacteristic
581SD16—444no—
582D8—444no—
583C2×C8—21no—
584C2×C8—21no—
585C2×C8—21no—
586C2×C8—21no—
587C2×C8—21no—
588C2×C8—112no—
589C2×C8—221no—
590C2×C8—221no—
591C2×C8—221no—
592C2×C8—221no—
593C2×C8—221no—
594C2×C8C2×C4×D1112yes—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—221no—
601C4⋊C4—221no—
602C4⋊C4—221no—
603C4⋊C4—221no—
604C4⋊C4—442no—
605C4⋊C4C2×C4×D1112yes—
606C22⋊C4—224no—
607C22⋊C4—442no—
608C22⋊C4—442no—
609C22⋊C4—442no—
610C22⋊C4—442no—
611C22⋊C4—442no—
612C22⋊C4—442no—
613C22⋊C4—442no—
614C22⋊C4—442no—
615C22⋊C4—442no—
616C42—21no—
617C42—21no—
618C42—42no—
619C42—221no—
620C42—221no—
621C42—441no—
622C42—441no—
623C42—442no—
624C11#2204511yescharacteristic, complemented, Sylow
625C23—112no—
626C23—221no—
627C23—221no—
628C23—221no—
629C23—221no—
630C23—221no—
631C23—221no—
632C23—222no—
633C23—222no—
634C23—441no—
635C23—441no—
636C23—441no—
637C23—441no—
638C23—441no—
639C23—441no—
640C23—441no—
641C23—441no—
642C23—441no—
643C23—441no—
644C23—441no—
645C23—441no—
646C23C2×D4×D1111yescharacteristic
647Q8—22no—
648Q8—22no—
649Q8—41no—
650Q8—41no—
651D4—222no—
652D4—222no—
653D4—222no—
654D4—222no—
655D4—448no—
656D4—448no—
657D4—441no—
658D4—441no—
659D4—441no—
660D4—441no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—112no—
679C2×C4—112no—
680C2×C4—112no—
681C2×C4—221no—
682C2×C4—221no—
683C2×C4—221no—
684C2×C4—221no—
685C2×C4—221no—
686C2×C4—221no—
687C2×C4—222no—
688C2×C4—222no—
689C2×C4—222no—
690C2×C4—222no—
691C2×C4—444no—
692C2×C4—448no—
693C2×C4—444no—
694C2×C4—441no—
695C2×C4—441no—
696C2×C4—441no—
697C2×C4—441no—
698C2×C4—441no—
699C2×C4—441no—
700C2×C4—884no—
701C2×C4#6697212yes—
702C2×C4C22×C4×D1111yescharacteristic
703C2×C4#6703711yescharacteristic
704C2×C4#41×D1111yescharacteristic
705C2×C4#6704211yescharacteristic
706C2×C4#6704211yescharacteristic
707C2×C4#6704211yescharacteristic
708C8—22no—
709C8—41no—
710C8—222no—
711C8—441no—
712C22—222no—
713C22—222no—
714C22—222no—
715C22—441no—
716C22—441no—
717C22—441no—
718C22—441no—
719C22—442no—
720C22—442no—
721C22—442no—
722C22—442no—
723C22—442no—
724C22—442no—
725C22—881no—
726C22—881no—
727C22—881no—
728C22—881no—
729C22—881no—
730C22—881no—
731C22—881no—
732C22—881no—
733C22C4×D4×D1111yescharacteristic
734C22#1062313811yescharacteristic
735C22#1062318411yescharacteristic
736C22C2×#6697211yescharacteristic
737C22D11×#13511yescharacteristic
738C22D11×AGL(1,ℤ/8)11yescharacteristic
739C22#1062330811yescharacteristic
740C4—22no—
741C4—41no—
742C4—42no—
743C4—42no—
744C4—81no—
745C4—81no—
746C4—222no—
747C4—222no—
748C4—222no—
749C4—881no—
750C4—881no—
751C4#1062305211yescharacteristic
752C4#1062307611yescharacteristic
753C4#1062320911yescharacteristic
754C4#1062323511yescharacteristic
755C2—442no—
756C2—882no—
757C2—882no—
758C2#1307127811yescharacteristic
759C2C4×#6697211yescharacteristic
760C2#1307742111yescharacteristic
761C2#1307938611yescharacteristic
762C2#1307941111yescharacteristic
763C2#1307954811yescharacteristic
764C2#1307959711yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1928C2
socleC23×C11C22×D4
prime radicalC2×#10622424C2
cosocleC22×C4×C11C24
hypercenter#1928D11
hypocenterC11#22045
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1928

Complements

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

NH ≅ G/Ntype
2. C4×#66948C2semidirect
3. #13071105C2semidirect
4. #13069480C2semidirect
5. #13069467C2semidirect
6. #13069300C2semidirect
7. #13069294C2semidirect
8. #13069243C2semidirect
9. #13068963C2semidirect
10. #13068953C2semidirect
11. #13068937C2semidirect
12. #13068812C2semidirect
13. #13068555C2semidirect
14. #13068373C2semidirect
15. C11×#1928C2semidirect
47. #10622424C4semidirect
66. C2×#4343C2×C4semidirect
85. C2×#4325C2×C4semidirect
107. C2×D88C2×C4semidirect
119. C11×#103C2×C4semidirect
131. (C2×D11)⋊C8C2×C4semidirect
136. #66873C2×C4semidirect
250. #1928D11semidirect
493. #103C4×D11semidirect
624. C11#22045semidirect

Maximal subgroups

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

subgroupindex
C2×#106224242
C4×#669482
#130711052
#130694802
#130694672
#130693002
#130692942
#130692432
#130689632
#130689532
#130689372
#130688122
#130685552
#130683732
C11×#19282
#2204511