Finite Group Databasebeta

← #14764958

Subgroups — #14764958

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×#10622394C211yesmaximal, characteristic
2#13071124C211yesmaximal, characteristic, complemented
3#13071103C211yesmaximal, characteristic, complemented
4#13069481C211yesmaximal, characteristic, complemented
5#13069470C211yesmaximal, characteristic, complemented
6#13069291C211yesmaximal, characteristic, complemented
7#13069255C211yesmaximal, characteristic, complemented
8#13069245C211yesmaximal, characteristic, complemented
9#13068961C211yesmaximal, characteristic, complemented
10#13068951C211yesmaximal, characteristic, complemented
11#13068937C211yesmaximal, characteristic, complemented
12#13068816C211yesmaximal, characteristic, complemented
13#13068553C211yesmaximal, characteristic, complemented
14C4×(C2×D11)⋊C8C211yesmaximal, characteristic, complemented
15C11×#1934C211yesmaximal, characteristic, complemented
16C22×#4341C2211yescharacteristic
17C22×#4323C2211yescharacteristic
18C22×#4314C2211yescharacteristic
19C2×#66948C2211yescharacteristic
20C2×#66946—21no—
21C2×#66946C2211yescharacteristic
22C2×#66945C2211yescharacteristic
23C2×C42×D11C2211yescharacteristic
24C2×C11×#102C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C2×C4×C8×C11C2211yescharacteristic
27C11×#390C2211yescharacteristic
28C11×#389C2211yescharacteristic
29#10622834C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×(C2×D11)⋊C8C2211yescharacteristic
33C2×(C2×D11)⋊C8C2211yescharacteristic
34C2×#66881C2211yescharacteristic
35C2×#66880C2211yescharacteristic
36#10622603—21no—
37#10622600C2211yescharacteristic
38C4⋊C4×Dic11C2211yescharacteristic
39#10622587C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66874C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66871C2211yescharacteristic
44#10622569—21no—
45#10622569—21no—
46C22⋊C4×Dic11—21no—
47C22⋊C4×Dic11—21no—
48#10622552C2211yescharacteristic
49#10622542C2211yescharacteristic
50C2×C4×C11⋊C8C2211yescharacteristic
51#10622394C418yescomplemented
52#10622279—21no—
53#10622278—21no—
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60C22×D4×C11C2311yescharacteristic
61C22×C22⋊D11—21no—
62C23×Dic11—21no—
63C2×#4341—22no—
64C2×#4341—41no—
65C2×#4341—41no—
66C2×#4341—41no—
67C2×#4341—41no—
68C2×#4341C2×C414yescomplemented
69C22×D44—21no—
70C22×D44C2311yescharacteristic
71C22×C4×D11—21no—
72C22×C4×D11D411yescharacteristic
73C22×C4×D11D411yescharacteristic
74C22×C4×D11C2311yescharacteristic
75C22×Dic22C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C42×C11C2311yescharacteristic
85C2×C22⋊Dic11—21no—
86C2×C22⋊Dic11—21no—
87C2×#4323—41no—
88C2×#4323—41no—
89C2×#4323C2×C414yescomplemented
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⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4×Dic11—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11D411yescharacteristic
101C2×C4×Dic11D411yescharacteristic
102C2×C4×Dic11C2311yescharacteristic
103C22×C11⋊C8C2311yescharacteristic
104C22×C11⋊C8C2311yescharacteristic
105C2×#4314—41no—
106C2×#4314—41no—
107C2×#4314C2×C414yescomplemented
108#66948—22no—
109#66948C2×C414yes—
110#66946—41no—
111#66946—41no—
112#66946—44no—
113#66945—41no—
114#66945—41no—
115C42×D11—41no—
116C42×D11—41no—
117C11×#102—41no—
118C11×#102C2×C414yescomplemented
119C4×C8×C11—41no—
120C11×#95—21no—
121#66896—41no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128#66885—41no—
129(C2×D11)⋊C8—22no—
130(C2×D11)⋊C8C2×C414yescomplemented
131#66881—41no—
132#66880—41no—
133#66874—41no—
134#66874C2×C414yescomplemented
135#66873—41no—
136#66871—41no—
137C4×C11⋊C8—41no—
138#22045—111nomaximal, Sylow
139C24×C11—21no—
140C23×D11—21no—
141C23×D11C2×D411yescharacteristic
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11C22×C412yes—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2411yescharacteristic
154C2×C22⋊D11—24no—
155C2×C22⋊D11—42no—
156C2×C22⋊D11—42no—
157C22×Dic11—24no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—21no—
161C22×Dic11—42no—
162C22×Dic11—42no—
163C22×Dic11C2×D411yescharacteristic
164C22×Dic11C2×D411yescharacteristic
165C22×Dic11C2×D411yescharacteristic
166#4341—44no—
167#4341—44no—
168#4341—44no—
169#4341—44no—
170C2×D44—24no—
171C2×D44—21no—
172C2×D44—21no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—42no—
177C2×D44—42no—
178C2×D44C22×C412yes—
179C2×C4×D11—22no—
180C2×C4×D11—22no—
181C2×C4×D11—22no—
182C2×C4×D11—21no—
183C2×C4×D11—21no—
184C2×C4×D11—21no—
185C2×C4×D11—21no—
186C2×C4×D11—41no—
187C2×C4×D11—41no—
188C2×C4×D11—41no—
189C2×C4×D11—42no—
190C2×C4×D11—42no—
191C2×C4×D11—42no—
192C2×C4×D11C22×C412yes—
193C2×C4×D11#4112yes—
194C2×Dic22—21no—
195C2×Dic22—21no—
196C2×Dic22—21no—
197C2×Dic22—21no—
198C2×Dic22—21no—
199C2×Dic22C22×C412yes—
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⋊C4—42no—
212C11×C4⋊C4C22×C412yes—
213C11×C22⋊C4—42no—
214C11×C22⋊C4—42no—
215C42×C11—21no—
216C42×C11—21no—
217C22⋊Dic11—42no—
218C22⋊Dic11—42no—
219#4323—44no—
220(C2×D11)⋊C4—24no—
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—21no—
231C4×Dic11—21no—
232C4×Dic11—41no—
233C4×Dic11—41no—
234C4×Dic11—42no—
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—
242#4314—44no—
243C2×#449—111no—
244C4×#121—111no—
245#2297—111no—
246#1970—111no—
247#1968—111no—
248#1934D1111yescharacteristic, complemented
249#1933—111no—
250#1928—111no—
251#1926—111no—
252#1879—111no—
253#1877—111no—
254#1875—111no—
255#1854—111no—
256#1788—111no—
257C4×C22⋊C8—111no—
258C23×C11—22no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11C22×D411yescharacteristic
266C22×D11—21no—
267C22×D11—21no—
268C22×D11—21no—
269C22×D11—21no—
270C22×D11—21no—
271C22×D11—21no—
272C22×D11—22no—
273C22×D11—41no—
274C22×D11—41no—
275C22×D11—41no—
276C22×D11—41no—
277C22×D11—41no—
278C22×D11—41no—
279C22×D11C4×D412yes—
280D4×C11—22no—
281D4×C11—22no—
282D4×C11—41no—
283D4×C11—41no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—22no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
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#13512yes—
298C2×C4×C11AGL(1,ℤ/8)12yes—
299C2×C4×C11C23×C411yescharacteristic
300C2×C4×C11C2×#4111yescharacteristic
301C2×C4×C11H(5,𝔽2)11yescharacteristic
302C2×C4×C11H(5,𝔽2)11yescharacteristic
303C2×C4×C11H(5,𝔽2)11yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C22⋊D11—48no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—21no—
309C2×Dic11—21no—
310C2×Dic11—22no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—48no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11C4×D412yes—
324C2×Dic11#13512yes—
325D44—22no—
326D44—22no—
327D44—48no—
328D44—41no—
329D44—41no—
330C4×D11—22no—
331C4×D11—22no—
332C4×D11—22no—
333C4×D11—22no—
334C4×D11—44no—
335C4×D11—44no—
336C4×D11—84no—
337Dic22—22no—
338Dic22—22no—
339Dic22—41no—
340Dic22—41no—
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×#107—111no—
355C2×#106—111no—
356C2×#103—111no—
357C2×#103—111no—
358C2×#103—111no—
359C2×#102—111no—
360C2×#102—111no—
361C2×#102—111no—
362C2×#102C2×D1111yescharacteristic
363C2×#102C2×D1111yescharacteristic
364C2×C22⋊C8—111no—
365C2×C22⋊C8—111no—
366C2×C4×C8—111no—
367C2×C4×C8C2×D1111yescharacteristic
368#391—111no—
369#391—111no—
370#390—111no—
371#390—111no—
372#390C2×D1111yescharacteristic
373#389C2×D1111yescharacteristic
374#388—221no—
375#386—221no—
376#386—221no—
377#386—221no—
378#380—111no—
379C4×C4⋊C4—111no—
380C4×C22⋊C4—221no—
381C4×C22⋊C4—221no—
382C4×C22⋊C4—221no—
383#340—111no—
384#340—111no—
385#340C2×D1111yescharacteristic
386#340C2×D1111yescharacteristic
387#336—111no—
388#336—111no—
389C22×C11—42no—
390C22×C11—42no—
391C22×C11—42no—
392C22×C11—81no—
393C22×C11—81no—
394C22×C11—81no—
395C22×C11—81no—
396C22×C11C2×C4×D411yescharacteristic
397C22×C11#53411yescharacteristic
398C22×C11#53511yescharacteristic
399C22×C11C2×#13511yescharacteristic
400C22×C11C2×#13511yescharacteristic
401C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
402C22×C11#57511yescharacteristic
403C2×D11—22no—
404C2×D11—22no—
405C2×D11—22no—
406C2×D11—41no—
407C2×D11—41no—
408C2×D11—41no—
409C2×D11—41no—
410C2×D11—42no—
411C2×D11—42no—
412C2×D11—42no—
413C2×D11—81no—
414C2×D11—81no—
415C2×D11—81no—
416C2×D11—81no—
417C4×C11—22no—
418C4×C11—22no—
419C4×C11—42no—
420C4×C11—81no—
421C4×C11—81no—
422C4×C11#51811yescharacteristic
423C4×C11#51811yescharacteristic
424C4×C11#53811yescharacteristic
425C4×C11#53811yescharacteristic
426Dic11—22no—
427Dic11—22no—
428Dic11—42no—
429Dic11—41no—
430Dic11—81no—
431Dic11—81no—
432C2×#41—114no—
433C2×#41—222no—
434C2×#41—441no—
435C2×#41—441no—
436C2×#41—441no—
437C2×#41—441no—
438C22×Q8—111no—
439C22×D4—111no—
440C22×D4—221no—
441C22×D4—221no—
442C22×D4C22×D1111yescharacteristic
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—21no—
466C2×C4⋊C4—111no—
467C2×C4⋊C4—111no—
468C2×C4⋊C4C22×D1111yescharacteristic
469C2×C4⋊C4C22×D1111yescharacteristic
470C2×C4⋊C4C22×D1111yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
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—111no—
482C2×C42—111no—
483C2×C42—111no—
484C2×C42—221no—
485C2×C42—221no—
486C2×C42—441no—
487C2×C42—441no—
488C2×C42C22×D1111yescharacteristic
489#107—441no—
490#106—441no—
491#103—114no—
492#103—441no—
493#103—441no—
494#102—41no—
495#102—441no—
496#102—441no—
497#102—441no—
498#102C4×D1114yescomplemented
499C22⋊C8—114no—
500C22⋊C8—222no—
501C4×C8—41no—
502C4×C8—441no—
503#95—21no—
504#95—221no—
505#95—221no—
506#95—221no—
507#95—221no—
508#95—221no—
509#95—221no—
510C2×C11—82no—
511C2×C11#232111yescharacteristic
512C2×C11C4×#13511yescharacteristic
513C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
514C2×C11#318811yescharacteristic
515C2×C11#319111yescharacteristic
516C2×C11#320711yescharacteristic
517C2×C11#321211yescharacteristic
518D11—42no—
519D11—82no—
520C24—21no—
521C24—111no—
522C24—221no—
523#41—444no—
524#41—444no—
525#41—444no—
526#41—444no—
527C2×Q8—112no—
528C2×Q8—221no—
529C2×Q8—221no—
530C2×Q8—221no—
531C2×Q8—221no—
532C2×Q8—221no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—112no—
539C2×D4—224no—
540C2×D4—224no—
541C2×D4—221no—
542C2×D4—221no—
543C2×D4—221no—
544C2×D4—221no—
545C2×D4—221no—
546C2×D4—442no—
547C2×D4—442no—
548C2×D4—442no—
549C2×D4—442no—
550C2×D4C2×C4×D1112yes—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—111no—
555C22×C4—111no—
556C22×C4—112no—
557C22×C4—112no—
558C22×C4—111no—
559C22×C4—222no—
560C22×C4—224no—
561C22×C4—221no—
562C22×C4—221no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—222no—
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—42no—
601C4⋊C4—221no—
602C4⋊C4—221no—
603C4⋊C4—221no—
604C4⋊C4—221no—
605C4⋊C4C2×C4×D1112yes—
606C22⋊C4—42no—
607C22⋊C4—42no—
608C22⋊C4—224no—
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—221no—
619C42—221no—
620C42—441no—
621C42—441no—
622C42—442no—
623C42—442no—
624C11#2204511yescharacteristic, complemented, Sylow
625C23—22no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—112no—
633C23—221no—
634C23—221no—
635C23—221no—
636C23—221no—
637C23—221no—
638C23—221no—
639C23—222no—
640C23—441no—
641C23—441no—
642C23—441no—
643C23—441no—
644C23—441no—
645C23—441no—
646C23C2×D4×D1111yescharacteristic
647Q8—222no—
648Q8—222no—
649Q8—441no—
650Q8—441no—
651D4—22no—
652D4—22no—
653D4—41no—
654D4—41no—
655D4—222no—
656D4—222no—
657D4—448no—
658D4—448no—
659D4—441no—
660D4—441no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—112no—
675C2×C4—112no—
676C2×C4—221no—
677C2×C4—221no—
678C2×C4—221no—
679C2×C4—221no—
680C2×C4—222no—
681C2×C4—222no—
682C2×C4—222no—
683C2×C4—222no—
684C2×C4—221no—
685C2×C4—221no—
686C2×C4—222no—
687C2×C4—221no—
688C2×C4—444no—
689C2×C4—444no—
690C2×C4—448no—
691C2×C4—441no—
692C2×C4—441no—
693C2×C4—441no—
694C2×C4—441no—
695C2×C4—441no—
696C2×C4—441no—
697C2×C4—441no—
698C2×C4—441no—
699C2×C4—884no—
700C2×C4#6696412yes—
701C2×C4#6696912yes—
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—42no—
713C22—42no—
714C22—42no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—222no—
720C22—222no—
721C22—222no—
722C22—441no—
723C22—441no—
724C22—441no—
725C22—441no—
726C22—442no—
727C22—442no—
728C22—442no—
729C22—881no—
730C22—881no—
731C22—881no—
732C22—881no—
733C22C4×D4×D1111yescharacteristic
734C22#1062313611yescharacteristic
735C22#1062320511yescharacteristic
736C22C2×#6696411yescharacteristic
737C22C2×#6696911yescharacteristic
738C22D11×#13511yescharacteristic
739C22#1062329911yescharacteristic
740C4—22no—
741C4—22no—
742C4—42no—
743C4—81no—
744C4—81no—
745C4—222no—
746C4—222no—
747C4—441no—
748C4—442no—
749C4—881no—
750C4—881no—
751C4#1062305211yescharacteristic
752C4#1062307611yescharacteristic
753C4#1062318811yescharacteristic
754C4#1062323511yescharacteristic
755C2—82no—
756C2—442no—
757C2—882no—
758C2#1307126911yescharacteristic
759C2C4×#6696911yescharacteristic
760C2C4×#6696411yescharacteristic
761C2#1307937611yescharacteristic
762C2#1307940511yescharacteristic
763C2#1307955011yescharacteristic
764C2#1307959311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1934C2
socleC23×C11C22×D4
prime radicalC2×#10622394C2
cosocleC22×C4×C11C24
hypercenter#1934D11
hypocenterC11#22045
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1934

Complements

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

NH ≅ G/Ntype
2. #13071124C2semidirect
3. #13071103C2semidirect
4. #13069481C2semidirect
5. #13069470C2semidirect
6. #13069291C2semidirect
7. #13069255C2semidirect
8. #13069245C2semidirect
9. #13068961C2semidirect
10. #13068951C2semidirect
11. #13068937C2semidirect
12. #13068816C2semidirect
13. #13068553C2semidirect
14. C4×(C2×D11)⋊C8C2semidirect
15. C11×#1934C2semidirect
51. #10622394C4semidirect
68. C2×#4341C2×C4semidirect
89. C2×#4323C2×C4semidirect
107. C2×#4314C2×C4semidirect
118. C11×#102C2×C4semidirect
130. (C2×D11)⋊C8C2×C4semidirect
134. #66874C2×C4semidirect
248. #1934D11semidirect
498. #102C4×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×#106223942
#130711242
#130711032
#130694812
#130694702
#130692912
#130692552
#130692452
#130689612
#130689512
#130689372
#130688162
#130685532
C4×(C2×D11)⋊C82
C11×#19342
#2204511