Finite Group Databasebeta

← #14764913

Subgroups — #14764913

Order 2816.

1092 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622783C211yesmaximal, characteristic
2C4×#66991C211yesmaximal, characteristic
3D11×#391C211yesmaximal, characteristic, complemented
4#13069472C211yesmaximal, characteristic, complemented
5#13069471C211yesmaximal, characteristic, complemented
6#13069290C211yesmaximal, characteristic, complemented
7#13069289C211yesmaximal, characteristic, complemented
8#13069251C211yesmaximal, characteristic, complemented
9#13069247C211yesmaximal, characteristic, complemented
10#13068950C211yesmaximal, characteristic, complemented
11#13068930C211yesmaximal, characteristic
12#13068810C211yesmaximal, characteristic, complemented
13#13068549C211yesmaximal, characteristic, complemented
14#13068373C211yesmaximal, characteristic, complemented
15C11×#1877C211yesmaximal, characteristic, complemented
16C22×Q8×D11C2211yescharacteristic
17C22×C11×SD16C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C2×#66991C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C2×C4×C22⋊D11—21no—
22C2×C4⋊C4×D11C2211yescharacteristic
23C2×C42×D11C2211yescharacteristic
24C2×C11×#103C2211yescharacteristic
25C2×C11×#102C2211yescharacteristic
26C11×#391C2211yescharacteristic
27#10622843C2211yescharacteristic
28C2×#66899C2211yescharacteristic
29C2×#66899C2211yescharacteristic
30#10622834C2211yescharacteristic
31C2×#66896C2211yescharacteristic
32C4×C22⋊Dic11—21no—
33#10622783C418yescomplemented
34C2×(C2×D11)⋊C8C2211yescharacteristic
35C2×(C2×D11)⋊C8C2211yescharacteristic
36C2×#66881C2211yescharacteristic
37C2×#66880C2211yescharacteristic
38C2×#66880C2211yescharacteristic
39C2×C8×Dic11C2211yescharacteristic
40C2×C8×Dic11C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622587C2211yescharacteristic
43#10622586C2211yescharacteristic
44C2×#66874C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46#10622569—21no—
47#10622557—21no—
48C4×C4⋊Dic11C2211yescharacteristic
49#10622542C2211yescharacteristic
50D11×#95—21no—
51D11×#95—21no—
52#10622259—21no—
53#10622259—21no—
54C11×#340C2211yescharacteristic
55C11×#336C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C23×C4×C11—21no—
63C22×C22⋊D11—21no—
64C2×Q8×D11—22no—
65C2×Q8×D11—41no—
66C2×Q8×D11—41no—
67C2×Q8×D11—41no—
68C2×Q8×D11—41no—
69C2×Q8×D11C2×C414yescomplemented
70C22×C4×D11—21no—
71C22×C4×D11—21no—
72C22×C4×D11D411yescharacteristic
73C22×C4×D11D411yescharacteristic
74C22×C4×D11C2311yescharacteristic
75C22×Dic22—21no—
76C22×Dic22C2311yescharacteristic
77C2×C11×SD16—41no—
78C2×C11×SD16—41no—
79C2×C11×SD16C2×C414yescomplemented
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2311yescharacteristic
82C4×D4×C11—41no—
83C4×D4×C11—41no—
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C22⋊C4—21no—
87C2×C42×C11C2311yescharacteristic
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91#66991—22no—
92#66991C2×C414yes—
93C2×#4324—41no—
94C2×#4324—41no—
95C2×#4324C2×C414yescomplemented
96C4×C22⋊D11—44no—
97C2×(C2×D11)⋊C4—21no—
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×Dic11⋊C4—21no—
102C2×Dic11⋊C4—21no—
103C2×C4×Dic11—21no—
104C2×C4×Dic11D411yescharacteristic
105C2×C4×Dic11D411yescharacteristic
106C2×C4×Dic11C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C4⋊C4×D11—41no—
110C4⋊C4×D11—41no—
111C42×D11—41no—
112C42×D11—41no—
113C11×#103—41no—
114C11×#102—41no—
115C11×#95—21no—
116C11×#95—21no—
117#66899—41no—
118#66899C2×C414yescomplemented
119#66896—41no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129(C2×D11)⋊C8—22no—
130(C2×D11)⋊C8C2×C414yescomplemented
131#66881—41no—
132#66880—41no—
133#66880C2×C414yescomplemented
134C8×Dic11—41no—
135C8×Dic11—41no—
136#66874—41no—
137#66872—41no—
138#22041—111nomaximal, Sylow
139C24×C11—21no—
140C23×D11C2×D411yescharacteristic
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11C22×C412yes—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11C22×C412yes—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—42no—
157C22×C4×C11—42no—
158C22×C4×C11—42no—
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2411yescharacteristic
162C2×C22⋊D11—24no—
163C2×C22⋊D11—42no—
164C2×C22⋊D11—42no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11C2×D411yescharacteristic
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172Q8×D11—44no—
173Q8×D11—44no—
174Q8×D11—44no—
175Q8×D11—44no—
176C2×C4×D11—22no—
177C2×C4×D11—24no—
178C2×C4×D11—22no—
179C2×C4×D11—21no—
180C2×C4×D11—21no—
181C2×C4×D11—21no—
182C2×C4×D11—21no—
183C2×C4×D11—41no—
184C2×C4×D11—41no—
185C2×C4×D11—41no—
186C2×C4×D11—42no—
187C2×C4×D11—42no—
188C2×C4×D11—42no—
189C2×C4×D11—42no—
190C2×C4×D11—42no—
191C2×C4×D11SD1614yescomplemented
192C2×C4×D11C22×C412yes—
193C2×C4×D11#4112yes—
194C2×Dic22—24no—
195C2×Dic22—21no—
196C2×Dic22—21no—
197C2×Dic22—21no—
198C2×Dic22—21no—
199C2×Dic22—21no—
200C2×Dic22—42no—
201C2×Dic22—42no—
202C2×Dic22C22×C412yes—
203C11×SD16—44no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11—21no—
209C2×C8×C11C22×C412yes—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C22⋊C4—42no—
215C42×C11—21no—
216C42×C11—21no—
217C22⋊Dic11—24no—
218C22⋊Dic11—42no—
219C22⋊Dic11—42no—
220#4324—44no—
221(C2×D11)⋊C4—42no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—21no—
226C4⋊Dic11—21no—
227C4⋊Dic11C22×C412yes—
228Dic11⋊C4—42no—
229Dic11⋊C4—42no—
230C4×Dic11—21no—
231C4×Dic11—21no—
232C4×Dic11—41no—
233C4×Dic11—41no—
234C4×Dic11—42no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×C11⋊C8—21no—
240C2×C11⋊C8C22×C412yes—
241C2×#448—111no—
242C4×#121—111no—
243C2×#391—111no—
244#1968—111no—
245#1968—111no—
246#1933—111no—
247#1933—111no—
248#1927—111no—
249#1927—111no—
250#1877—111no—
251#1877D1111yescharacteristic, complemented
252#1874—111no—
253#1853—111no—
254#1787—111no—
255C4×C22⋊C8—111no—
256C23×C11—22no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11C22×D411yescharacteristic
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11—21no—
268C22×D11C4×D412yes—
269C22×D11C2×SD1612yes—
270C22×D11#13512yes—
271Q8×C11—22no—
272Q8×C11—22no—
273Q8×C11—41no—
274Q8×C11—41no—
275D4×C11—22no—
276D4×C11—22no—
277D4×C11—41no—
278D4×C11—41no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—84no—
294C2×C4×C11C2×SD1612yes—
295C2×C4×C11C23×C411yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11H(5,𝔽2)11yescharacteristic
298C2×C4×C11H(5,𝔽2)11yescharacteristic
299C2×C4×C11H(5,𝔽2)11yescharacteristic
300C2×C4×C11H(5,𝔽2)11yescharacteristic
301C22⋊D11—48no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—21no—
307C2×Dic11—21no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11C4×D412yes—
321C2×Dic11C2×SD1612yes—
322C2×Dic11#13712yes—
323C4×D11—22no—
324C4×D11—22no—
325C4×D11—22no—
326C4×D11—22no—
327C4×D11—44no—
328C4×D11—44no—
329C4×D11—48no—
330C4×D11—84no—
331Dic22—22no—
332Dic22—22no—
333Dic22—48no—
334Dic22—41no—
335Dic22—41no—
336C8×C11—22no—
337C8×C11—41no—
338C11⋊C8—22no—
339C11⋊C8—41no—
340C23×Q8—111no—
341C22×SD16—111no—
342C22×SD16C2×D1111yescharacteristic
343C2×#121—111no—
344C2×C4×D4—221no—
345C2×C4×D4C2×D1111yescharacteristic
346C22×C4⋊C4—111no—
347C22×C42—111no—
348#448—118no—
349C2×#106—111no—
350C2×#106—111no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#103—111no—
354C2×#103—111no—
355C2×#103—111no—
356C2×#103C2×D1111yescharacteristic
357C2×#102—111no—
358C2×#102C2×D1111yescharacteristic
359C2×C22⋊C8—111no—
360C2×C22⋊C8—111no—
361C2×C4×C8—111no—
362C2×C4×C8—111no—
363#391—111no—
364#391—111no—
365#391—111no—
366#391—221no—
367#391—221no—
368#391C2×D1111yescharacteristic
369#390—111no—
370#389—111no—
371#388—221no—
372#386—221no—
373#380—111no—
374C4×C4⋊C4—111no—
375C4×C22⋊C4—221no—
376C2×#95—221no—
377C2×#95—221no—
378#340—111no—
379#340—111no—
380#340—111no—
381#340C2×D1111yescharacteristic
382#336—111no—
383#336C2×D1111yescharacteristic
384C22×C11—42no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—81no—
388C22×C11—81no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11C2×C4×D411yescharacteristic
392C22×C11#53411yescharacteristic
393C22×C11#53511yescharacteristic
394C22×C11C22×SD1611yescharacteristic
395C22×C11C2×#13511yescharacteristic
396C22×C11C2×#13711yescharacteristic
397C22×C11#57511yescharacteristic
398C2×D11—22no—
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—22no—
403C2×D11—22no—
404C2×D11C4×SD1614yes—
405C4×C11—22no—
406C4×C11—42no—
407C4×C11—41no—
408C4×C11—81no—
409C4×C11—81no—
410C4×C11#51811yescharacteristic
411C4×C11#51811yescharacteristic
412C4×C11#53811yescharacteristic
413C4×C11#53811yescharacteristic
414Dic11—22no—
415Dic11—22no—
416Dic11—22no—
417Dic11—42no—
418Dic11—42no—
419Dic11—81no—
420Dic11—81no—
421C22×Q8—114no—
422C22×Q8—111no—
423C22×Q8—221no—
424C22×Q8—222no—
425C22×Q8—441no—
426C22×Q8—441no—
427C22×Q8—441no—
428C22×Q8—441no—
429C22×Q8C22×D1111yescharacteristic
430C22×D4—221no—
431C22×D4C22×D1111yescharacteristic
432C23×C4—21no—
433C23×C4—111no—
434C23×C4—111no—
435C23×C4—111no—
436C23×C4—221no—
437C23×C4—221no—
438C2×SD16—41no—
439C2×SD16—41no—
440C2×SD16—114no—
441C2×SD16—441no—
442C2×SD16—441no—
443C2×SD16C4×D1114yescomplemented
444C22×C8—111no—
445C22×C8—111no—
446C22×C8C22×D1111yescharacteristic
447C22×C8C22×D1111yescharacteristic
448#121—114no—
449#121—222no—
450C4×D4—41no—
451C4×D4—41no—
452C4×D4—444no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4—221no—
458C2×C4⋊C4—441no—
459C2×C4⋊C4—441no—
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4—221no—
467C2×C42—111no—
468C2×C42—111no—
469C2×C42—111no—
470C2×C42—221no—
471C2×C42—441no—
472C2×C42—441no—
473C2×C42C22×D1111yescharacteristic
474#106—441no—
475#106—441no—
476#103—41no—
477#103—114no—
478#103—114no—
479#103—441no—
480#103—441no—
481#103—441no—
482#102—41no—
483#102—441no—
484C22⋊C8—114no—
485C22⋊C8—222no—
486C4×C8—441no—
487C4×C8—441no—
488#95—21no—
489#95—21no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494#95—221no—
495#95—221no—
496#95—221no—
497#95—221no—
498#95—221no—
499C2×C11—82no—
500C2×C11#232111yescharacteristic
501C2×C11C2×C4×SD1611yescharacteristic
502C2×C11C4×#13711yescharacteristic
503C2×C11#318711yescharacteristic
504C2×C11#319011yescharacteristic
505C2×C11#320611yescharacteristic
506C2×C11#321111yescharacteristic
507D11—24no—
508C24—21no—
509C24—111no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—112no—
516C2×Q8—224no—
517C2×Q8—221no—
518C2×Q8—221no—
519C2×Q8—221no—
520C2×Q8—221no—
521C2×Q8—221no—
522C2×Q8—442no—
523C2×Q8—442no—
524C2×Q8—444no—
525C2×Q8—444no—
526C2×Q8—444no—
527C2×Q8—444no—
528C2×Q8C2×C4×D1112yes—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—224no—
535C2×D4—442no—
536C2×D4—442no—
537C2×D4C2×C4×D1112yes—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—112no—
548C22×C4—112no—
549C22×C4—114no—
550C22×C4—222no—
551C22×C4—222no—
552C22×C4—224no—
553C22×C4—221no—
554C22×C4—221no—
555C22×C4—221no—
556C22×C4—221no—
557C22×C4—221no—
558C22×C4—221no—
559C22×C4—221no—
560C22×C4—221no—
561C22×C4—441no—
562C22×C4—441no—
563C22×C4—441no—
564C22×C4—442no—
565C22×C4—442no—
566C22×C4—442no—
567C22×C4—442no—
568C22×C4—442no—
569C22×C4D4×D1111yescharacteristic
570C22×C4D4×D1111yescharacteristic
571C22×C4C23×D1111yescharacteristic
572SD16—44no—
573SD16—444no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—112no—
580C2×C8—221no—
581C2×C8—221no—
582C2×C8—221no—
583C2×C8—221no—
584C2×C8—221no—
585C2×C8C2×C4×D1112yes—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—112no—
591C4⋊C4—221no—
592C4⋊C4—221no—
593C4⋊C4—221no—
594C4⋊C4—221no—
595C4⋊C4—221no—
596C4⋊C4—442no—
597C4⋊C4—442no—
598C22⋊C4—42no—
599C22⋊C4—224no—
600C22⋊C4—442no—
601C22⋊C4—442no—
602C22⋊C4—442no—
603C42—21no—
604C42—21no—
605C42—221no—
606C42—221no—
607C42—441no—
608C42—441no—
609C42—442no—
610C11#2204111yescharacteristic, complemented, Sylow
611C23—22no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—112no—
619C23—112no—
620C23—112no—
621C23—221no—
622C23—221no—
623C23—221no—
624C23—221no—
625C23C2×D4×D1111yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—41no—
629Q8—41no—
630Q8—222no—
631Q8—222no—
632Q8—448no—
633Q8—441no—
634Q8—441no—
635D4—22no—
636D4—22no—
637D4—41no—
638D4—41no—
639D4—448no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—84no—
655C2×C4—112no—
656C2×C4—112no—
657C2×C4—112no—
658C2×C4—221no—
659C2×C4—221no—
660C2×C4—221no—
661C2×C4—221no—
662C2×C4—221no—
663C2×C4—221no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—444no—
671C2×C4—444no—
672C2×C4—448no—
673C2×C4—441no—
674C2×C4—441no—
675C2×C4—441no—
676C2×C4—441no—
677C2×C4—441no—
678C2×C4—441no—
679C2×C4—441no—
680C2×C4—441no—
681C2×C4—441no—
682C2×C4—441no—
683C2×C4—884no—
684C2×C4SD16×D1112yes—
685C2×C4C22×C4×D1111yescharacteristic
686C2×C4#6703711yescharacteristic
687C2×C4#6703711yescharacteristic
688C2×C4#6703711yescharacteristic
689C2×C4#41×D1111yescharacteristic
690C2×C4#6704211yescharacteristic
691C8—22no—
692C8—41no—
693C8—222no—
694C8—441no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—114no—
703C22—222no—
704C22—222no—
705C22—222no—
706C22—222no—
707C22—222no—
708C22—222no—
709C22C4×D4×D1111yescharacteristic
710C22#1062312011yescharacteristic
711C22#1062313811yescharacteristic
712C22C2×SD16×D1111yescharacteristic
713C22D11×#13511yescharacteristic
714C22#1062330411yescharacteristic
715C22D11×#13711yescharacteristic
716C4—22no—
717C4—41no—
718C4—42no—
719C4—81no—
720C4—81no—
721C4—222no—
722C4—222no—
723C4—222no—
724C4—442no—
725C4—442no—
726C4—881no—
727C4—881no—
728C4#1062301711yescharacteristic
729C4#1062307611yescharacteristic
730C4#1062314411yescharacteristic
731C4#1062318811yescharacteristic
732C2—82no—
733C2—224no—
734C2#1307127211yescharacteristic
735C2C4×SD16×D1111yescharacteristic
736C2#1307743811yescharacteristic
737C2#1307937011yescharacteristic
738C2#1307939511yescharacteristic
739C2#1307954011yescharacteristic
740C2#1307957911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1877C2
socleC23×C11C22×D4
prime radicalC2×#66991C22
cosocleC22×C4×C11C24
hypercenter#1877D11
hypocenterC11#22041
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
3. D11×#391C2semidirect
4. #13069472C2semidirect
5. #13069471C2semidirect
6. #13069290C2semidirect
7. #13069289C2semidirect
8. #13069251C2semidirect
9. #13069247C2semidirect
10. #13068950C2semidirect
12. #13068810C2semidirect
13. #13068549C2semidirect
14. #13068373C2semidirect
15. C11×#1877C2semidirect
33. #10622783C4semidirect
69. C2×Q8×D11C2×C4semidirect
79. C2×C11×SD16C2×C4semidirect
95. C2×#4324C2×C4semidirect
118. #66899C2×C4semidirect
130. (C2×D11)⋊C8C2×C4semidirect
133. #66880C2×C4semidirect
191. C2×C4×D11SD16semidirect
251. #1877D11semidirect
443. C2×SD16C4×D11semidirect
610. C11#22041semidirect

Maximal subgroups

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

subgroupindex
C2×#106227832
C4×#669912
D11×#3912
#130694722
#130694712
#130692902
#130692892
#130692512
#130692472
#130689502
#130689302
#130688102
#130685492
#130683732
C11×#18772
#2204111