Finite Group Databasebeta

← #14756454

Subgroups — #14756454

Order 2816.

1234 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622383C211yesmaximal, characteristic
2C2×D11×#102C211yesmaximal, characteristic
3C2×#10622302C211yesmaximal, characteristic, complemented
4#13071238C211yesmaximal, characteristic, complemented
5#13071195C211yesmaximal, characteristic
6#13069316C211yesmaximal, characteristic, complemented
7#13069315C211yesmaximal, characteristic, complemented
8#13069312C211yesmaximal, characteristic, complemented
9#13069311C211yesmaximal, characteristic, complemented
10#13069300C211yesmaximal, characteristic, complemented
11#13069299C211yesmaximal, characteristic, complemented
12#13069296C211yesmaximal, characteristic, complemented
13#13068334C211yesmaximal, characteristic, complemented
14#13068331C211yesmaximal, characteristic, complemented
15C11×#1934C211yesmaximal, characteristic, complemented
16C22×D4×D11C2211yescharacteristic
17C22×#4313C2211yescharacteristic
18C22×C8×D11C2211yescharacteristic
19C2×#66945C2211yescharacteristic
20C2×#66945C2211yescharacteristic
21C2×C4⋊C4×D11C2211yescharacteristic
22C2×#66925C2211yescharacteristic
23C2×C11×#102C2211yescharacteristic
24C2×C11×#102C2211yescharacteristic
25C2×C4×C8×C11C2211yescharacteristic, complemented
26C11×#390C2211yescharacteristic
27C11×#389C2211yescharacteristic, complemented
28#10622834C2211yescharacteristic
29C2×#66896C2211yescharacteristic
30C2×#66896C2211yescharacteristic
31C2×#66885C2211yescharacteristic
32C2×#66885C2211yescharacteristic
33C2×#66879C2211yescharacteristic, complemented
34C2×C8×Dic11C2211yescharacteristic, complemented
35#10622602—21no—
36#10622601C2211yescharacteristic
37#10622598C2211yescharacteristic, complemented
38#10622589—21no—
39#10622586C2211yescharacteristic, complemented
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42#10622570—21no—
43#10622570—21no—
44#10622568—21no—
45#10622568—21no—
46#10622552C2211yescharacteristic
47#10622541C2211yescharacteristic, complemented
48C2×#66867C2211yescharacteristic, complemented
49#10622383C418yescomplemented
50D11×#102—24no—
51#10622302—24no—
52#10622281—21no—
53#10622263—21no—
54C11×#340C2211yescharacteristic, complemented
55C11×#340C2211yescharacteristic, complemented
56#10622189C2211yescharacteristic, complemented
57#10622189C2211yescharacteristic, complemented
58#10622167C2211yescharacteristic, complemented
59#10622167C2211yescharacteristic, complemented
60#10622167C2211yescharacteristic, complemented
61#10622167C2211yescharacteristic, complemented
62C24×D11—21no—
63C22×D4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C2×D4×D11—22no—
66C2×D4×D11—22no—
67C2×D4×D11—22no—
68C2×D4×D11—22no—
69C2×D4×D11—22no—
70C2×D4×D11C2×C414yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×C4×D11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C22×C8×C11C2311yescharacteristic
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C42×C11C2311yescharacteristic
83C2×C22⋊Dic11—21no—
84C2×C22⋊Dic11—21no—
85C2×(C2×D11)⋊C4—21no—
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)⋊C4D411yescharacteristic
92C2×(C2×D11)⋊C4D411yescharacteristic
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4D411yescharacteristic
101C2×Dic11⋊C4D411yescharacteristic
102C2×C4×Dic11—21no—
103C2×C4×Dic11—21no—
104C2×C4×Dic11C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C2×#4313—22no—
108C2×#4313—22no—
109C2×#4313C2×C414yes—
110C2×C8×D11—22no—
111C2×C8×D11—22no—
112C2×C8×D11D414yes—
113#66945—22no—
114#66945—22no—
115#66945—22no—
116#66945C2×C414yes—
117C4⋊C4×D11—22no—
118C4⋊C4×D11—22no—
119#66925—22no—
120#66925—22no—
121C11×#102—22no—
122C11×#102C2×C414yescomplemented
123C4×C8×C11—22no—
124C11×#95—21no—
125#66896—22no—
126#66896C2×C414yescomplemented
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130#66885—22no—
131#66885C2×C414yescomplemented
132#66879—22no—
133C8×Dic11—22no—
134#66873—22no—
135#66873C2×C414yescomplemented
136#66867—22no—
137#21091—111nomaximal, Sylow
138C24×C11—21no—
139C23×D11—21no—
140C23×D11—24no—
141C23×D11—42no—
142C23×D11—42no—
143C23×D11—81no—
144C23×D11—81no—
145C23×D11—81no—
146C23×D11—81no—
147C23×D11C2×D411yescharacteristic
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11C22×C412yes—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2411yescharacteristic
160C2×C22⋊D11—24no—
161C2×C22⋊D11—42no—
162C2×C22⋊D11—42no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11C2×D411yescharacteristic
167C22×Dic11C2×D411yescharacteristic
168C22×Dic11C2×D411yescharacteristic
169D4×D11—28no—
170D4×D11—28no—
171D4×D11—44no—
172D4×D11—44no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44C22×C412yes—
179C2×C4×D11—42no—
180C2×C4×D11—81no—
181C2×C4×D11—81no—
182C2×C4×D11C22×C412yes—
183C2×C4×D11C2×D412yes—
184C2×C4×D11#4112yes—
185C2×C4×D11#4112yes—
186C2×C4×D11#4112yes—
187C2×C4×D11#4112yes—
188C2×C8×C11—21no—
189C2×C8×C11—21no—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11C22×C412yes—
193C2×C8×C11C2×D412yes—
194C11×C4⋊C4—21no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—81no—
200C11×C4⋊C4C22×C412yes—
201C11×C22⋊C4—81no—
202C11×C22⋊C4—81no—
203C42×C11—21no—
204C42×C11—21no—
205C22⋊Dic11—81no—
206C22⋊Dic11—81no—
207(C2×D11)⋊C4—24no—
208(C2×D11)⋊C4—22no—
209(C2×D11)⋊C4—22no—
210(C2×D11)⋊C4—42no—
211(C2×D11)⋊C4—81no—
212(C2×D11)⋊C4—81no—
213(C2×D11)⋊C4—81no—
214(C2×D11)⋊C4—81no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—81no—
221C4⋊Dic11C22×C412yes—
222Dic11⋊C4—22no—
223Dic11⋊C4—22no—
224Dic11⋊C4—42no—
225Dic11⋊C4—81no—
226Dic11⋊C4—81no—
227C4×Dic11—24no—
228C4×Dic11—21no—
229C4×Dic11—21no—
230C4×Dic11—42no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8C22×C412yes—
236C2×C11⋊C8C2×D412yes—
237#4313—28no—
238C8×D11—28no—
239C2×#418—111no—
240C22×#102—111no—
241C2×#405—111no—
242#2317—111no—
243#2309—111no—
244#1936—111no—
245#1936—111no—
246#1936—111no—
247#1936—111no—
248#1934—111no—
249#1934—111no—
250#1934—111no—
251#1934D1111yescharacteristic, complemented
252#1736—111no—
253#1735—111no—
254C23×C11—22no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11C22×D411yescharacteristic
262C22×D11—21no—
263C22×D11—21no—
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—22no—
267C22×D11—41no—
268C22×D11—41no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—41no—
272C22×D11—41no—
273C22×D11—48no—
274C22×D11—84no—
275C22×D11—84no—
276C22×D11—84no—
277C22×D11—84no—
278C22×D11—84no—
279C22×D11—84no—
280C22×D11C4×D412yes—
281C22×D11#12112yes—
282C22×D11#12412yes—
283D4×C11—22no—
284D4×C11—22no—
285D4×C11—41no—
286D4×C11—41no—
287C2×C4×C11—22no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
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—41no—
302C2×C4×C11C23×C411yescharacteristic
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11C2×#4111yescharacteristic
307C2×C4×C11C2×#4111yescharacteristic
308C22⋊D11—48no—
309C2×Dic11—22no—
310C2×Dic11—21no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—21no—
315C2×Dic11—21no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11C4×D412yes—
325C2×Dic11#12112yes—
326C2×Dic11#12412yes—
327D44—22no—
328D44—22no—
329D44—41no—
330D44—41no—
331C4×D11—84no—
332C4×D11#11714yes—
333C4×D11C4×D414yes—
334C4×D11#12314yes—
335C4×D11#12614yes—
336C8×C11—22no—
337C8×C11—22no—
338C11⋊C8—22no—
339C11⋊C8—22no—
340C23×D4—111no—
341C22×M16—111no—
342C23×C8—111no—
343C2×#117—111no—
344C2×#117—111no—
345C2×#117—111no—
346C22×C4⋊C4—111no—
347#418—118no—
348C2×#102—111no—
349C2×#102—111no—
350C2×#102—111no—
351C2×#102—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—224no—
355C2×#102C2×D1111yescharacteristic
356C2×#102C2×D1111yescharacteristic
357#405—224no—
358C2×#97—111no—
359C2×#97—111no—
360C2×C4×C8—111no—
361C2×C4×C8C2×D1111yescharacteristic, complemented
362#390—111no—
363#390—111no—
364#390—111no—
365#390—221no—
366#390—221no—
367#390C2×D1111yescharacteristic
368#389—111no—
369#389—111no—
370#389—111no—
371#389C2×D1111yescharacteristic, complemented
372#385—221no—
373#385—221no—
374#384—221no—
375#382—221no—
376#379—221no—
377#379—221no—
378#340—111no—
379#340—111no—
380#340—111no—
381#340—111no—
382#340—111no—
383#340—111no—
384#340C2×D1111yescharacteristic, complemented
385#340C2×D1111yescharacteristic, complemented
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11C2×C4×D411yescharacteristic
394C22×C11C2×#12111yescharacteristic
395C22×C11C2×#12411yescharacteristic
396C22×C11#57611yescharacteristic
397C22×C11#57611yescharacteristic
398C22×C11#57711yescharacteristic
399C22×C11#57711yescharacteristic
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—22no—
403C2×D11—22no—
404C2×D11—22no—
405C2×D11—22no—
406C2×D11—42no—
407C2×D11—42no—
408C2×D11—42no—
409C2×D11—816no—
410C2×D11—81no—
411C2×D11—81no—
412C2×D11—81no—
413C2×D11—81no—
414C2×D11#38814yes—
415C4×C11—42no—
416C4×C11—41no—
417C4×C11—41no—
418C4×C11—81no—
419C4×C11—81no—
420C4×C11C2×#11711yescharacteristic
421C4×C11C2×C4×D411yescharacteristic
422C4×C11C2×#12311yescharacteristic
423C4×C11C2×#12611yescharacteristic
424Dic11—42no—
425Dic11—41no—
426Dic11—41no—
427Dic11—81no—
428Dic11—81no—
429Dic11#38814yes—
430C25—221no—
431C22×D4—114no—
432C22×D4—111no—
433C22×D4—222no—
434C22×D4—222no—
435C22×D4—222no—
436C22×D4—222no—
437C22×D4—222no—
438C22×D4—221no—
439C22×D4C22×D1111yescharacteristic
440C23×C4—111no—
441C23×C4—221no—
442C2×M16—114no—
443C2×M16—222no—
444C2×M16—222no—
445C22×C8—111no—
446C22×C8—111no—
447C22×C8—114no—
448C22×C8—222no—
449C22×C8—222no—
450C22×C8C22×D1111yescharacteristic
451C22×C8C22×D1111yescharacteristic
452#117—114no—
453#117—222no—
454#117—222no—
455#117—222no—
456#117—222no—
457#117—222no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—222no—
465C2×C4⋊C4—222no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4—221no—
468C2×C4⋊C4—221no—
469C2×C4⋊C4—221no—
470C2×C4⋊C4C22×D1111yescharacteristic
471C2×C4⋊C4C22×D1111yescharacteristic
472C2×C4⋊C4C22×D1111yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—111no—
476C2×C22⋊C4—111no—
477C2×C22⋊C4—221no—
478C2×C22⋊C4—221no—
479C2×C22⋊C4—221no—
480C2×C22⋊C4—221no—
481C2×C22⋊C4—221no—
482C2×C22⋊C4—221no—
483C2×C22⋊C4—221no—
484C2×C22⋊C4—221no—
485C2×C42—111no—
486C2×C42—221no—
487C2×C42—221no—
488C2×C42C22×D1111yescharacteristic
489#102—22no—
490#102—114no—
491#102—114no—
492#102—114no—
493#102—222no—
494#102—222no—
495#102—222no—
496#102C4×D1114yescomplemented
497#97—222no—
498#97—222no—
499C4×C8—22no—
500C4×C8—222no—
501#95—21no—
502#95—221no—
503#95—221no—
504#95—221no—
505C2×C11—82no—
506C2×C11C2×#38811yescharacteristic
507C2×C11#294611yescharacteristic
508C2×C11#294611yescharacteristic
509C2×C11#305711yescharacteristic
510C2×C11#305811yescharacteristic
511C2×C11#313611yescharacteristic
512C2×C11#313611yescharacteristic
513D11—24no—
514D11—82no—
515C24—21no—
516C24—111no—
517C24—224no—
518C24—221no—
519C24—442no—
520C24—442no—
521C24—881no—
522C24—881no—
523C24—881no—
524C24—881no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—112no—
531C2×D4—228no—
532C2×D4—228no—
533C2×D4—224no—
534C2×D4—221no—
535C2×D4—221no—
536C2×D4—221no—
537C2×D4—221no—
538C2×D4—221no—
539C2×D4—444no—
540C2×D4—444no—
541C2×D4—442no—
542C2×D4—442no—
543C2×D4C2×C4×D1112yes—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—111no—
548C22×C4—112no—
549C22×C4—112no—
550C22×C4—112no—
551C22×C4—112no—
552C22×C4—112no—
553C22×C4—112no—
554C22×C4—111no—
555C22×C4—111no—
556C22×C4—221no—
557C22×C4—221no—
558C22×C4—221no—
559C22×C4—442no—
560C22×C4—881no—
561C22×C4—881no—
562C22×C4D4×D1111yescharacteristic
563C22×C4D4×D1111yescharacteristic
564C22×C4C23×D1111yescharacteristic
565M16—228no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—21no—
570C2×C8—112no—
571C2×C8—112no—
572C2×C8—228no—
573C2×C8—221no—
574C2×C8—221no—
575C2×C8—221no—
576C2×C8—221no—
577C2×C8C2×C4×D1112yes—
578C2×C8D4×D1112yes—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—81no—
585C4⋊C4—112no—
586C4⋊C4—222no—
587C4⋊C4—222no—
588C4⋊C4—221no—
589C4⋊C4—221no—
590C4⋊C4—221no—
591C4⋊C4—221no—
592C4⋊C4—221no—
593C4⋊C4—442no—
594C4⋊C4—881no—
595C4⋊C4—881no—
596C4⋊C4—881no—
597C4⋊C4C2×C4×D1112yes—
598C22⋊C4—81no—
599C22⋊C4—81no—
600C22⋊C4—222no—
601C22⋊C4—222no—
602C22⋊C4—224no—
603C22⋊C4—442no—
604C22⋊C4—881no—
605C22⋊C4—881no—
606C22⋊C4—881no—
607C22⋊C4—881no—
608C22⋊C4—881no—
609C22⋊C4—881no—
610C42—21no—
611C42—21no—
612C42—224no—
613C42—221no—
614C42—221no—
615C42—442no—
616C11#2109111yescharacteristic, complemented, Sylow
617C23—22no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—112no—
625C23—112no—
626C23—112no—
627C23—221no—
628C23—221no—
629C23—221no—
630C23—221no—
631C23—222no—
632C23—448no—
633C23—441no—
634C23—441no—
635C23—441no—
636C23—441no—
637C23—441no—
638C23—441no—
639C23—884no—
640C23—884no—
641C23—884no—
642C23—884no—
643C23—884no—
644C23—884no—
645C23C2×D4×D1111yescharacteristic
646D4—22no—
647D4—22no—
648D4—41no—
649D4—41no—
650D4—222no—
651D4—222no—
652D4—448no—
653D4—441no—
654D4—441no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—112no—
671C2×C4—112no—
672C2×C4—112no—
673C2×C4—114no—
674C2×C4—114no—
675C2×C4—114no—
676C2×C4—114no—
677C2×C4—221no—
678C2×C4—221no—
679C2×C4—221no—
680C2×C4—221no—
681C2×C4—222no—
682C2×C4—221no—
683C2×C4—221no—
684C2×C4—441no—
685C2×C4—441no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4—441no—
691C2×C4—441no—
692C2×C4—884no—
693C2×C4C22×C4×D1111yescharacteristic
694C2×C4C2×D4×D1111yescharacteristic
695C2×C4#41×D1111yescharacteristic
696C2×C4#41×D1111yescharacteristic
697C2×C4#41×D1111yescharacteristic
698C2×C4#41×D1111yescharacteristic
699C8—22no—
700C8—22no—
701C8—222no—
702C8—222no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—114no—
711C22—222no—
712C22—222no—
713C22—222no—
714C22—222no—
715C22—222no—
716C22—222no—
717C22—442no—
718C22—442no—
719C22—442no—
720C22—8816no—
721C22—881no—
722C22—881no—
723C22—881no—
724C22—881no—
725C22C4×D4×D1111yescharacteristic
726C22D11×#12111yescharacteristic
727C22D11×#12411yescharacteristic
728C22#1062328811yescharacteristic
729C22#1062329311yescharacteristic
730C22#1062330011yescharacteristic
731C22#1062330111yescharacteristic
732C4—42no—
733C4—41no—
734C4—41no—
735C4—81no—
736C4—81no—
737C4—114no—
738C4—442no—
739C4—441no—
740C4—441no—
741C4—881no—
742C4—881no—
743C4D11×#11711yescharacteristic
744C4C4×D4×D1111yescharacteristic
745C4D11×#12311yescharacteristic
746C4D11×#12611yescharacteristic
747C2—82no—
748C2—224no—
749C2—882no—
750C2D11×#38811yescharacteristic
751C2#1307744111yescharacteristic
752C2#1307744311yescharacteristic
753C2#1307825011yescharacteristic
754C2#1307825911yescharacteristic
755C2#1307896511yescharacteristic
756C2#1307896911yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1934C2
socleC23×C11C22×D4
prime radicalC22×D4×D11C22
cosocleC22×C4×C11C24
hypercenter#1934D11
hypocenterC11#21091
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
3. C2×#10622302C2semidirect
4. #13071238C2semidirect
6. #13069316C2semidirect
7. #13069315C2semidirect
8. #13069312C2semidirect
9. #13069311C2semidirect
10. #13069300C2semidirect
11. #13069299C2semidirect
12. #13069296C2semidirect
13. #13068334C2semidirect
14. #13068331C2semidirect
15. C11×#1934C2semidirect
25. C2×C4×C8×C11C22semidirect
27. C11×#389C22semidirect
33. C2×#66879C22semidirect
34. C2×C8×Dic11C22semidirect
37. #10622598C22semidirect
39. #10622586C22semidirect
47. #10622541C22semidirect
48. C2×#66867C22semidirect
49. #10622383C4semidirect
54. C11×#340C22semidirect
55. C11×#340C22semidirect
56. #10622189C22semidirect
57. #10622189C22semidirect
58. #10622167C22semidirect
59. #10622167C22semidirect
60. #10622167C22semidirect
61. #10622167C22semidirect
122. C11×#102C2×C4semidirect
126. #66896C2×C4semidirect
131. #66885C2×C4semidirect
135. #66873C2×C4semidirect
251. #1934D11semidirect
361. C2×C4×C8C2×D11semidirect
371. #389C2×D11semidirect
384. #340C2×D11semidirect
385. #340C2×D11semidirect
496. #102C4×D11semidirect
616. C11#21091semidirect

Maximal subgroups

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

subgroupindex
C2×#106223832
C2×D11×#1022
C2×#106223022
#130712382
#130711952
#130693162
#130693152
#130693122
#130693112
#130693002
#130692992
#130692962
#130683342
#130683312
C11×#19342
#2109111