Finite Group Databasebeta

← #14757482

Subgroups — #14757482

Order 2816.

1718 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623205C211yesmaximal, characteristic
2C2×#10622416C211yesmaximal, characteristic, complemented
3C2×#10622383C211yesmaximal, characteristic, complemented
4C2×#10622417C211yesmaximal, characteristic, complemented
5C2×D11×#102C211yesmaximal, characteristic, complemented
6C2×#10622302C211yesmaximal, characteristic, complemented
7#13071241C211yesmaximal, characteristic, complemented
8#13069439C211yesmaximal, characteristic, complemented
9#13069438C211yesmaximal, characteristic, complemented
10#13069433C211yesmaximal, characteristic, complemented
11#13069429C211yesmaximal, characteristic, complemented
12#13069424C211yesmaximal, characteristic, complemented
13#13069422C211yesmaximal, characteristic, complemented
14#13069420C211yesmaximal, characteristic, complemented
15C11×#1958C211yesmaximal, characteristic, complemented
16C22×#4343C2211yescharacteristic
17C22×D4×D11C2211yescharacteristic
18C2×C11×#124C2211yescharacteristic
19C2×#67000C2211yescharacteristic
20C2×#66993C2211yescharacteristic
21C22×#4313C2211yescharacteristic
22C22×C8×D11C2211yescharacteristic
23#10623205—24no—
24#10623205C418yescomplemented
25C2×#66945C2211yescharacteristic
26C2×C4⋊C4×D11C2211yescharacteristic
27C2×#66937—22no—
28C2×#66935—22no—
29C2×#66927C2211yescharacteristic
30C2×#66925C2211yescharacteristic
31C2×C11×#103C2211yescharacteristic, complemented
32C2×C11×#103C2211yescharacteristic, complemented
33C2×C11×#102C2211yescharacteristic
34C2×C11×#102C2211yescharacteristic
35C2×C4×C8×C11C2211yescharacteristic, complemented
36C11×#382C2211yescharacteristic, complemented
37C2×#66899C2211yescharacteristic, complemented
38C2×#66899C2211yescharacteristic, complemented
39C2×#66896C2211yescharacteristic
40C2×#66896C2211yescharacteristic
41C2×#66885C2211yescharacteristic
42C2×#66885C2211yescharacteristic
43C2×#66885C2211yescharacteristic, complemented
44C2×#66885C2211yescharacteristic, complemented
45C2×#66879C2211yescharacteristic, complemented
46C2×C8×Dic11C2211yescharacteristic, complemented
47#10622590C2211yescharacteristic, complemented
48#10622589C2211yescharacteristic, complemented
49C2×#66873C2211yescharacteristic
50C2×#66873C2211yescharacteristic
51C2×#66873C2211yescharacteristic, complemented
52C2×#66873C2211yescharacteristic, complemented
53#10622548C2211yescharacteristic, complemented
54C2×#66867C2211yescharacteristic, complemented
55#10622417—24no—
56#10622416—24no—
57#10622383—24no—
58D11×#102—24no—
59#10622302—24no—
60#10622281—22no—
61#10622260—22no—
62C24×D11—21no—
63C22×Q8×C11C2311yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C22×C22⋊D11—21no—
66C22×C22⋊D11—22no—
67C2×#4343—22no—
68C2×#4343—22no—
69C2×#4343—22no—
70C2×#4343—22no—
71C2×#4343—22no—
72C2×#4343C2×C414yes—
73C2×D4×D11—22no—
74C2×D4×D11—22no—
75C2×D4×D11—22no—
76C2×D4×D11—22no—
77C2×D4×D11—22no—
78C2×D4×D11C2×C414yes—
79C22×D44—21no—
80C22×D44—22no—
81C22×D44C2311yescharacteristic
82C22×D44C2311yescharacteristic
83C22×C4×D11—21no—
84C22×C4×D11—21no—
85C22×C4×D11C2311yescharacteristic
86C22×C8×C11C2311yescharacteristic
87C22×C8×C11C2311yescharacteristic
88C11×#124—22no—
89C11×#124C2×C414yescomplemented
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C4⋊C4C2311yescharacteristic
92C2×C11×C22⋊C4—22no—
93C2×C42×C11C2311yescharacteristic
94#67000—22no—
95#67000C2×C414yescomplemented
96#66993—22no—
97#66993C2×C414yescomplemented
98C2×(C2×D11)⋊C4—22no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4D412yes—
101C2×C4⋊Dic11—22no—
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—22no—
106C2×Dic11⋊C4D412yes—
107C2×C4×Dic11—21no—
108C2×C4×Dic11C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C2×#4313—22no—
112C2×#4313—22no—
113C2×#4313D414yescomplemented
114C2×C8×D11—22no—
115C2×C8×D11—22no—
116C2×C8×D11D414yescomplemented
117#66945—22no—
118#66945—22no—
119C4⋊C4×D11—22no—
120C4⋊C4×D11—22no—
121#66937—216no—
122#66935—216no—
123#66927—22no—
124#66927C2×C414yescomplemented
125#66925C2×C414yes—
126#66925D414yes—
127C11×#103—22no—
128C11×#103—22no—
129C11×#102—22no—
130C11×#102—22no—
131C4×C8×C11—22no—
132C11×#95—22no—
133#66899—22no—
134#66899—22no—
135#66896—22no—
136#66896—22no—
137C11⋊#95—22no—
138#66885—22no—
139#66885—22no—
140#66885—22no—
141#66885—22no—
142#66879—22no—
143C8×Dic11—22no—
144#66873—22no—
145#66873—22no—
146#66873—22no—
147#66873—22no—
148#66867—22no—
149#21206—111nomaximal, Sylow
150C24×C11—21no—
151C23×D11—21no—
152C23×D11—21no—
153C23×D11—24no—
154C23×D11—42no—
155C23×D11—42no—
156C23×D11—82no—
157C23×D11—82no—
158C23×D11C2×D411yescharacteristic
159C2×Q8×C11—21no—
160C2×Q8×C11—21no—
161C2×Q8×C11—21no—
162C2×Q8×C11—21no—
163C2×Q8×C11—21no—
164C2×Q8×C11C22×C412yes—
165C2×D4×C11—21no—
166C2×D4×C11—21no—
167C2×D4×C11—21no—
168C2×D4×C11—21no—
169C2×D4×C11—21no—
170C2×D4×C11C22×C412yes—
171C22×C4×C11—21no—
172C22×C4×C11—21no—
173C22×C4×C11—21no—
174C22×C4×C11C2×D412yes—
175C22×C4×C11C2411yescharacteristic
176C2×C22⋊D11—24no—
177C2×C22⋊D11—28no—
178C2×C22⋊D11—42no—
179C2×C22⋊D11—42no—
180C2×C22⋊D11—82no—
181C2×C22⋊D11—82no—
182C22×Dic11—21no—
183C22×Dic11—21no—
184C22×Dic11C2×D412yes—
185C22×Dic11C2×D411yescharacteristic
186#4343—28no—
187#4343—28no—
188#4343—44no—
189#4343—44no—
190D4×D11—28no—
191D4×D11—28no—
192D4×D11—44no—
193D4×D11—44no—
194C2×D44—24no—
195C2×D44—28no—
196C2×D44—21no—
197C2×D44—21no—
198C2×D44—21no—
199C2×D44—21no—
200C2×D44—21no—
201C2×D44—21no—
202C2×D44—21no—
203C2×D44—21no—
204C2×D44—21no—
205C2×D44—21no—
206C2×D44—42no—
207C2×D44—42no—
208C2×D44—82no—
209C2×D44—82no—
210C2×D44C22×C412yes—
211C2×D44C22×C412yes—
212C2×C4×D11—24no—
213C2×C4×D11—42no—
214C2×C4×D11—42no—
215C2×C4×D11—42no—
216C2×C4×D11—82no—
217C2×C4×D11C22×C412yes—
218C2×C4×D11C2×D412yes—
219C2×C4×D11C2×D412yes—
220C2×C4×D11C2×D412yes—
221C2×C4×D11#4112yes—
222C2×C4×D11#4112yes—
223C2×C8×C11—21no—
224C2×C8×C11—21no—
225C2×C8×C11—21no—
226C2×C8×C11—21no—
227C2×C8×C11C2×D412yes—
228C2×C8×C11C2×D412yes—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C22⋊C4—28no—
234C42×C11C22×C412yes—
235C42×C11C2×D412yes—
236(C2×D11)⋊C4—28no—
237(C2×D11)⋊C4—42no—
238(C2×D11)⋊C4C22⋊C418yes—
239C4⋊Dic11—21no—
240C4⋊Dic11—21no—
241C4⋊Dic11—21no—
242C4⋊Dic11—21no—
243C4⋊Dic11—82no—
244Dic11⋊C4—42no—
245Dic11⋊C4—82no—
246Dic11⋊C4C22⋊C418yes—
247C4×Dic11—42no—
248C4×Dic11C22×C412yes—
249C4×Dic11C2×D412yes—
250C2×C11⋊C8—21no—
251C2×C11⋊C8—21no—
252C2×C11⋊C8—21no—
253C2×C11⋊C8—21no—
254C2×C11⋊C8C2×D412yes—
255C2×C11⋊C8C2×D412yes—
256#4313—28no—
257C8×D11—28no—
258C2×#535—111no—
259C2×#417—111no—
260C2×#418—111no—
261C2×#416—111no—
262C22×#102—111no—
263C2×#405—111no—
264#2317—111no—
265#1961—111no—
266#1961—111no—
267#1959—111no—
268#1959—111no—
269#1958—111no—
270#1958D1111yescharacteristic, complemented
271#1957—111no—
272#1957—111no—
273C23×C11—22no—
274C23×C11—41no—
275C23×C11—41no—
276C23×C11—42no—
277C23×C11—42no—
278C23×C11C22×D411yescharacteristic
279C22×D11—22no—
280C22×D11—22no—
281C22×D11—22no—
282C22×D11—22no—
283C22×D11—41no—
284C22×D11—41no—
285C22×D11—41no—
286C22×D11—41no—
287C22×D11—42no—
288C22×D11—42no—
289C22×D11—42no—
290C22×D11—42no—
291C22×D11—48no—
292C22×D11—88no—
293C22×D11—88no—
294C22×D11—84no—
295C22×D11—84no—
296C22×D11C2×C22⋊C412yes—
297C22×D11#12412yes—
298C22×D11#12712yes—
299Q8×C11—22no—
300Q8×C11—22no—
301Q8×C11—41no—
302Q8×C11—41no—
303D4×C11—22no—
304D4×C11—22no—
305D4×C11—41no—
306D4×C11—41no—
307C2×C4×C11—22no—
308C2×C4×C11—22no—
309C2×C4×C11—22no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11—41no—
313C2×C4×C11—41no—
314C2×C4×C11—42no—
315C2×C4×C11—42no—
316C2×C4×C11C2×C22⋊C414yes—
317C2×C4×C11C23×C411yescharacteristic
318C2×C4×C11C22×D411yescharacteristic
319C2×C4×C11C22×D411yescharacteristic
320C2×C4×C11C22×D411yescharacteristic
321C2×C4×C11C2×#4111yescharacteristic
322C2×C4×C11C2×#4111yescharacteristic
323C22⋊D11—48no—
324C22⋊D11—88no—
325C2×Dic11—22no—
326C2×Dic11—22no—
327C2×Dic11—41no—
328C2×Dic11—41no—
329C2×Dic11—42no—
330C2×Dic11—42no—
331C2×Dic11C2×C22⋊C414yes—
332C2×Dic11C2×C22⋊C412yes—
333C2×Dic11#12412yes—
334C2×Dic11#12712yes—
335D44—22no—
336D44—22no—
337D44—22no—
338D44—22no—
339D44—48no—
340D44—41no—
341D44—41no—
342D44—41no—
343D44—41no—
344D44—88no—
345C4×D11—48no—
346C4×D11—84no—
347C4×D11C4×D414yes—
348C4×D11C4×D414yes—
349C4×D11#12114yes—
350C4×D11#12114yes—
351C8×C11—22no—
352C8×C11—22no—
353C11⋊C8—22no—
354C11⋊C8—22no—
355C22×#41—111no—
356C23×D4—111no—
357C22×M16—111no—
358C23×C8—111no—
359#535—118no—
360#535—224no—
361C2×#127—111no—
362C2×#127—111no—
363C2×#124—111no—
364C2×#124C2×D1111yescharacteristic
365C2×#121—222no—
366C2×#120—222no—
367C2×#117—111no—
368C2×#117—111no—
369C22×C4⋊C4—111no—
370#418—224no—
371#417—224no—
372#416—224no—
373C2×#103—111no—
374C2×#103—111no—
375C2×#103C2×D1111yescharacteristic, complemented
376C2×#103C2×D1111yescharacteristic, complemented
377C2×#102—111no—
378C2×#102—111no—
379C2×#102—111no—
380C2×#102—111no—
381C2×#102—111no—
382C2×#102—111no—
383C2×#102—111no—
384C2×#102—111no—
385C2×#102—111no—
386C2×#102—111no—
387C2×#102—224no—
388C2×#102C2×D1111yescharacteristic
389C2×#102C2×D1111yescharacteristic
390#405—224no—
391C2×#97—111no—
392C2×#97—111no—
393C2×C4×C8—111no—
394C2×C4×C8C2×D1111yescharacteristic, complemented
395#389—222no—
396#385—222no—
397#384—111no—
398#384—111no—
399#382—111no—
400#382C2×D1111yescharacteristic, complemented
401C22×C11—44no—
402C22×C11—42no—
403C22×C11—82no—
404C22×C11—81no—
405C22×C11—81no—
406C22×C11C22×C22⋊C411yescharacteristic
407C22×C11C2×#12411yescharacteristic
408C22×C11C2×#12711yescharacteristic
409C22×C11#57612yes—
410C22×C11#57712yes—
411C2×D11—24no—
412C2×D11—24no—
413C2×D11—22no—
414C2×D11—22no—
415C2×D11—44no—
416C2×D11—44no—
417C2×D11—42no—
418C2×D11—42no—
419C2×D11—816no—
420C2×D11—82no—
421C2×D11—82no—
422C2×D11—81no—
423C2×D11—81no—
424C2×D11—81no—
425C2×D11—81no—
426C2×D11#39014yes—
427C4×C11—24no—
428C4×C11—42no—
429C4×C11—81no—
430C4×C11—81no—
431C4×C11C2×C4×D411yescharacteristic
432C4×C11C2×C4×D411yescharacteristic
433C4×C11C2×#12111yescharacteristic
434C4×C11C2×#12111yescharacteristic
435Dic11—24no—
436Dic11—81no—
437Dic11—81no—
438Dic11#39014yes—
439C25—221no—
440C2×#41—114no—
441C2×#41—222no—
442C2×#41—222no—
443C2×#41—222no—
444C2×#41—222no—
445C2×#41—222no—
446C22×Q8C22×D1111yescharacteristic
447C22×D4—114no—
448C22×D4—111no—
449C22×D4—111no—
450C22×D4—221no—
451C22×D4—222no—
452C22×D4—222no—
453C22×D4—222no—
454C22×D4—222no—
455C22×D4—222no—
456C22×D4—221no—
457C22×D4—222no—
458C22×D4—222no—
459C22×D4C22×D1111yescharacteristic
460C23×C4—111no—
461C23×C4—221no—
462C23×C4—221no—
463C2×M16—114no—
464C2×M16—222no—
465C2×M16—222no—
466C22×C8—111no—
467C22×C8—111no—
468C22×C8—114no—
469C22×C8—222no—
470C22×C8—222no—
471C22×C8C22×D1111yescharacteristic
472C22×C8C22×D1111yescharacteristic
473#127—114no—
474#127—114no—
475#127—222no—
476#127—222no—
477#124—22no—
478#124—114no—
479#124—222no—
480#124C4×D1114yescomplemented
481#121—2216no—
482#120—2216no—
483#117—114no—
484#117—114no—
485#117—222no—
486#117—222no—
487C2×C4⋊C4—112no—
488C2×C4⋊C4—111no—
489C2×C4⋊C4—111no—
490C2×C4⋊C4—222no—
491C2×C4⋊C4—222no—
492C2×C4⋊C4—221no—
493C2×C4⋊C4—222no—
494C2×C4⋊C4—222no—
495C2×C4⋊C4C22×D1111yescharacteristic
496C2×C4⋊C4C22×D1111yescharacteristic
497C2×C22⋊C4—22no—
498C2×C22⋊C4—112no—
499C2×C22⋊C4—222no—
500C2×C22⋊C4—221no—
501C2×C42—111no—
502C2×C42—221no—
503C2×C42C22×D1111yescharacteristic
504#103—22no—
505#103—22no—
506#103—222no—
507#103—222no—
508#102—22no—
509#102—22no—
510#102—222no—
511#102—222no—
512#102—222no—
513#102—222no—
514#102—222no—
515#102—222no—
516#102—222no—
517#102—222no—
518#102—222no—
519#102—222no—
520#97—222no—
521#97—222no—
522C4×C8—22no—
523C4×C8—222no—
524#95—22no—
525#95—222no—
526C2×C11—82no—
527C2×C11C2×#39011yescharacteristic
528C2×C11#289712yes—
529C2×C11#313612yes—
530C2×C11#315411yescharacteristic
531C2×C11#315511yescharacteristic
532D11—24no—
533D11—82no—
534D11—82no—
535C24—21no—
536C24—111no—
537C24—224no—
538C24—221no—
539C24—221no—
540C24—442no—
541C24—442no—
542C24—882no—
543C24—882no—
544#41—228no—
545#41—228no—
546#41—444no—
547#41—444no—
548C2×Q8—21no—
549C2×Q8—21no—
550C2×Q8—21no—
551C2×Q8—21no—
552C2×Q8—21no—
553C2×Q8C2×C4×D1112yes—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—112no—
560C2×D4—112no—
561C2×D4—224no—
562C2×D4—228no—
563C2×D4—228no—
564C2×D4—224no—
565C2×D4—228no—
566C2×D4—228no—
567C2×D4—221no—
568C2×D4—221no—
569C2×D4—221no—
570C2×D4—221no—
571C2×D4—221no—
572C2×D4—221no—
573C2×D4—221no—
574C2×D4—221no—
575C2×D4—221no—
576C2×D4—221no—
577C2×D4—442no—
578C2×D4—442no—
579C2×D4—444no—
580C2×D4—444no—
581C2×D4—442no—
582C2×D4—442no—
583C2×D4—882no—
584C2×D4—882no—
585C2×D4—882no—
586C2×D4—882no—
587C2×D4C2×C4×D1112yes—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—21no—
591C22×C4—111no—
592C22×C4—112no—
593C22×C4—112no—
594C22×C4—112no—
595C22×C4—112no—
596C22×C4—112no—
597C22×C4—112no—
598C22×C4—112no—
599C22×C4—224no—
600C22×C4—221no—
601C22×C4—221no—
602C22×C4—442no—
603C22×C4—442no—
604C22×C4—442no—
605C22×C4—882no—
606C22×C4D4×D1112yes—
607C22×C4C23×D1111yescharacteristic
608M16—228no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—21no—
613C2×C8—112no—
614C2×C8—112no—
615C2×C8—228no—
616C2×C8—221no—
617C2×C8—221no—
618C2×C8—221no—
619C2×C8—221no—
620C2×C8D4×D1112yes—
621C2×C8D4×D1112yes—
622C4⋊C4—21no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—118no—
627C4⋊C4—221no—
628C4⋊C4—221no—
629C4⋊C4—221no—
630C4⋊C4—221no—
631C4⋊C4—442no—
632C4⋊C4—882no—
633C4⋊C4—882no—
634C22⋊C4—28no—
635C22⋊C4—118no—
636C22⋊C4—228no—
637C22⋊C4—442no—
638C42—112no—
639C42—112no—
640C42—442no—
641C42C2×C4×D1112yes—
642C42D4×D1112yes—
643C11#2120611yescharacteristic, complemented, Sylow
644C23—22no—
645C23—41no—
646C23—42no—
647C23—42no—
648C23—41no—
649C23—112no—
650C23—112no—
651C23—112no—
652C23—222no—
653C23—222no—
654C23—222no—
655C23—222no—
656C23—448no—
657C23—441no—
658C23—441no—
659C23—442no—
660C23—442no—
661C23—442no—
662C23—442no—
663C23—441no—
664C23—441no—
665C23—888no—
666C23—884no—
667C23—884no—
668C23—888no—
669C23C2×D4×D1111yescharacteristic
670Q8—22no—
671Q8—22no—
672Q8—41no—
673Q8—41no—
674D4—22no—
675D4—22no—
676D4—41no—
677D4—41no—
678D4—222no—
679D4—222no—
680D4—222no—
681D4—222no—
682D4—448no—
683D4—448no—
684D4—441no—
685D4—441no—
686D4—441no—
687D4—441no—
688D4—888no—
689D4—888no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—112no—
700C2×C4—112no—
701C2×C4—112no—
702C2×C4—114no—
703C2×C4—114no—
704C2×C4—114no—
705C2×C4—114no—
706C2×C4—114no—
707C2×C4—222no—
708C2×C4—222no—
709C2×C4—448no—
710C2×C4—441no—
711C2×C4—441no—
712C2×C4—442no—
713C2×C4—442no—
714C2×C4—884no—
715C2×C4C22⋊C4×D1114yes—
716C2×C4C22×C4×D1111yescharacteristic
717C2×C4C2×D4×D1111yescharacteristic
718C2×C4C2×D4×D1111yescharacteristic
719C2×C4C2×D4×D1111yescharacteristic
720C2×C4#41×D1111yescharacteristic
721C2×C4#41×D1111yescharacteristic
722C8—22no—
723C8—22no—
724C8—222no—
725C8—222no—
726C22—44no—
727C22—42no—
728C22—81no—
729C22—81no—
730C22—82no—
731C22—114no—
732C22—222no—
733C22—222no—
734C22—224no—
735C22—224no—
736C22—444no—
737C22—444no—
738C22—442no—
739C22—442no—
740C22—8816no—
741C22—881no—
742C22—881no—
743C22—881no—
744C22—881no—
745C22—882no—
746C22—882no—
747C22C2×C22⋊C4×D1111yescharacteristic
748C22D11×#12411yescharacteristic
749C22D11×#12711yescharacteristic
750C22#1062330012yes—
751C22#1062330112yes—
752C4—24no—
753C4—42no—
754C4—81no—
755C4—81no—
756C4—114no—
757C4—224no—
758C4—881no—
759C4—881no—
760C4C4×D4×D1111yescharacteristic
761C4C4×D4×D1111yescharacteristic
762C4D11×#12111yescharacteristic
763C4D11×#12111yescharacteristic
764C2—82no—
765C2—224no—
766C2—882no—
767C2—882no—
768C2D11×#39011yescharacteristic
769C2#1307713812yes—
770C2#1307896912yes—
771C2#1307908711yescharacteristic
772C2#1307909811yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1958C2
socleC23×C11C22×D4
prime radicalC2×#10623205C2
cosocleC22×C4×C11C24
hypercenter#1958D11
hypocenterC11#21206
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1958

Complements

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

NH ≅ G/Ntype
2. C2×#10622416C2semidirect
3. C2×#10622383C2semidirect
4. C2×#10622417C2semidirect
5. C2×D11×#102C2semidirect
6. C2×#10622302C2semidirect
7. #13071241C2semidirect
8. #13069439C2semidirect
9. #13069438C2semidirect
10. #13069433C2semidirect
11. #13069429C2semidirect
12. #13069424C2semidirect
13. #13069422C2semidirect
14. #13069420C2semidirect
15. C11×#1958C2semidirect
24. #10623205C4semidirect
31. C2×C11×#103C22semidirect
32. C2×C11×#103C22semidirect
35. C2×C4×C8×C11C22semidirect
36. C11×#382C22semidirect
37. C2×#66899C22semidirect
38. C2×#66899C22semidirect
43. C2×#66885C22semidirect
44. C2×#66885C22semidirect
45. C2×#66879C22semidirect
46. C2×C8×Dic11C22semidirect
47. #10622590C22semidirect
48. #10622589C22semidirect
51. C2×#66873C22semidirect
52. C2×#66873C22semidirect
53. #10622548C22semidirect
54. C2×#66867C22semidirect
89. C11×#124C2×C4semidirect
95. #67000C2×C4semidirect
97. #66993C2×C4semidirect
113. C2×#4313D4semidirect
116. C2×C8×D11D4semidirect
124. #66927C2×C4semidirect
270. #1958D11semidirect
375. C2×#103C2×D11semidirect
376. C2×#103C2×D11semidirect
394. C2×C4×C8C2×D11semidirect
400. #382C2×D11semidirect
480. #124C4×D11semidirect
643. C11#21206semidirect

Maximal subgroups

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

subgroupindex
C2×#106232052
C2×#106224162
C2×#106223832
C2×#106224172
C2×D11×#1022
C2×#106223022
#130712412
#130694392
#130694382
#130694332
#130694292
#130694242
#130694222
#130694202
C11×#19582
#2120611