Finite Group Databasebeta

← #14753885

Subgroups — #14753885

Order 2816.

1298 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623054C211yesmaximal, characteristic
2#13071225C211yesmaximal, characteristic, complemented
3#13068707C211yesmaximal, characteristic, complemented
4#13068703C211yesmaximal, characteristic, complemented
5#13068632C211yesmaximal, characteristic, complemented
6#13068627C211yesmaximal, characteristic, complemented
7#13068622C211yesmaximal, characteristic, complemented
8#13068617C211yesmaximal, characteristic, complemented
9#13068557C211yesmaximal, characteristic
10#13068557C211yesmaximal, characteristic
11#13068447C211yesmaximal, characteristic, complemented
12#13068442C211yesmaximal, characteristic, complemented
13C4×#66880C211yesmaximal, characteristic, complemented
14C4×#66885C211yesmaximal, characteristic, complemented
15C2×C11×#433C211yesmaximal, characteristic, complemented
16C22×#4339C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C4⋊Dic11C2211yescharacteristic
19#10623054—24no—
20#10623054C418yescomplemented
21C2×#66945—21no—
22C2×C4⋊C4×D11—21no—
23C2×(C22⋊D11)⋊C4—21no—
24C2×(C22⋊D11)⋊C4—21no—
25C2×C4×D44C2211yescharacteristic
26C2×C4×D44C2211yescharacteristic
27C2×C4×Dic22C2211yescharacteristic
28C2×C4×Dic22C2211yescharacteristic
29C11×#433—24no—
30C2×C11×C4⋊C8C2211yescharacteristic
31C2×C11×C4⋊C8C2211yescharacteristic
32C2×C11×C22⋊C8C2211yescharacteristic
33C2×C11×C22⋊C8C2211yescharacteristic
34C2×C11×#97C2211yescharacteristic
35C2×C4×C8×C11C2211yescharacteristic
36#10622825C2211yescharacteristic
37#10622825C2211yescharacteristic
38C2×#66885C2211yescharacteristic
39C2×#66885C2211yescharacteristic
40C2×#66885C2211yescharacteristic
41C2×#66885C2211yescharacteristic
42C2×#66880C2211yescharacteristic
43C2×#66880C2211yescharacteristic
44C2×#66880C2211yescharacteristic
45C2×#66880C2211yescharacteristic
46#10622594—21no—
47#10622594—21no—
48#10622564—21no—
49#10622564—21no—
50#10622549C2211yescharacteristic
51#10622548C2211yescharacteristic
52C4×C4⋊Dic11C2211yescharacteristic
53C4×C4⋊Dic11C2211yescharacteristic
54#10622189C2211yescharacteristic
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622189C2211yescharacteristic
59#10622189C2211yescharacteristic
60#10622189C2211yescharacteristic
61#10622189C2211yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C22×C22⋊D11—21no—
64C23×Dic11—21no—
65C2×#4339—22no—
66C2×#4339—22no—
67C2×#4339—22no—
68C2×#4339—22no—
69C2×#4339—22no—
70C2×#4339C2×C414yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×C4×D11—21no—
75C22×Dic22C2311yescharacteristic
76C22×C8×C11C2311yescharacteristic
77C22×C8×C11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C11×#117C2×C414yes—
81C11×#117D414yes—
82C2×C11×C4⋊C4D411yescharacteristic
83C2×C11×C4⋊C4D411yescharacteristic
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C11×C22⋊C4D411yescharacteristic
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11—22no—
94C2×C4⋊Dic11—21no—
95C2×C4⋊Dic11—21no—
96C2×C4⋊Dic11C2×C414yes—
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
101C2×C4⋊Dic11C2311yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×Dic11⋊C4—21no—
104C2×Dic11⋊C4—21no—
105C2×C4×Dic11—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C2×C4×Dic11—21no—
109#66945—28no—
110C4⋊C4×D11—28no—
111(C22⋊D11)⋊C4—28no—
112(C22⋊D11)⋊C4—28no—
113C4×D44—22no—
114C4×D44—22no—
115C4×D44C2×C414yes—
116C4×D44C2×C414yes—
117C4×Dic22—22no—
118C4×Dic22—22no—
119C4×Dic22C2×C414yes—
120C4×Dic22C2×C414yes—
121C11×C4⋊C8—22no—
122C11×C4⋊C8—22no—
123C11×C22⋊C8—22no—
124C11×C22⋊C8—22no—
125C11×#97—22no—
126C4×C8×C11—22no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133#66885—22no—
134#66885—22no—
135#66885—22no—
136#66885—22no—
137#66880—22no—
138#66880—22no—
139#66880—22no—
140#66880—22no—
141#20746—111nomaximal, Sylow
142C24×C11C2×D411yescharacteristic
143C23×D11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11C22×C412yes—
149C22×C4×C11C2×D411yescharacteristic
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2×D411yescharacteristic
153C22×C4×C11C2×D411yescharacteristic
154C22×C4×C11C2×D412yes—
155C22×C4×C11C2411yescharacteristic
156C2×C22⋊D11—24no—
157C2×C22⋊D11—24no—
158C2×C22⋊D11—24no—
159C22×Dic11—24no—
160C22×Dic11—21no—
161C22×Dic11—21no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—81no—
168C22×Dic11—81no—
169#4339—28no—
170#4339—28no—
171#4339—28no—
172#4339—28no—
173C2×D44—21no—
174C2×D44—21no—
175C2×D44—21no—
176C2×D44C22×C412yes—
177C2×D44#4112yes—
178C2×D44#4112yes—
179C2×C4×D11—24no—
180C2×C4×D11—24no—
181C2×C4×D11—24no—
182C2×C4×D11—24no—
183C2×C4×D11—24no—
184C2×C4×D11—81no—
185C2×C4×D11—81no—
186C2×C4×D11—81no—
187C2×C4×D11—81no—
188C2×Dic22—21no—
189C2×Dic22—21no—
190C2×Dic22—21no—
191C2×Dic22C22×C412yes—
192C2×Dic22#4112yes—
193C2×Dic22#4112yes—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—21no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—21no—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C11×C4⋊C4C22⋊C414yes—
207C11×C4⋊C4C22⋊C414yes—
208C11×C22⋊C4C22⋊C414yes—
209C11×C22⋊C4C22⋊C414yes—
210C42×C11C22×C412yes—
211C42×C11C22×C412yes—
212C42×C11C2×D412yes—
213C42×C11C2×D412yes—
214C22⋊Dic11—81no—
215C22⋊Dic11—81no—
216(C2×D11)⋊C4—24no—
217(C2×D11)⋊C4—24no—
218C4⋊Dic11—24no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—21no—
226C4⋊Dic11—21no—
227C4⋊Dic11—21no—
228C4⋊Dic11—21no—
229C4⋊Dic11—81no—
230C4⋊Dic11—81no—
231C4⋊Dic11C22×C412yes—
232C4⋊Dic11C22×C412yes—
233Dic11⋊C4—24no—
234Dic11⋊C4—24no—
235C4×Dic11—24no—
236C4×Dic11—24no—
237C4×Dic11—81no—
238C4×Dic11—81no—
239C2×#520—111no—
240C2×#433D1111yescharacteristic, complemented
241#2314—111no—
242#1824—111no—
243#1823—111no—
244#1805—111no—
245#1804—111no—
246#1803—111no—
247#1802—111no—
248#1788—111no—
249#1788—111no—
250#1763—111no—
251#1762—111no—
252C4×#103—111no—
253C4×#102—111no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11C2×C22⋊C412yes—
261C23×C11C22×D411yescharacteristic
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—22no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—41no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11C2×C22⋊C412yes—
284C2×C4×C11C2×C22⋊C412yes—
285C2×C4×C11C2×C22⋊C412yes—
286C2×C4×C11C2×C22⋊C412yes—
287C2×C4×C11C2×C22⋊C412yes—
288C2×C4×C11C23×C411yescharacteristic
289C2×C4×C11C22×D411yescharacteristic
290C2×C4×C11C2×#4111yescharacteristic
291C2×C4×C11C2×#4111yescharacteristic
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11C2×#4111yescharacteristic
294C22⋊D11—216no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—84no—
317D44—22no—
318D44—22no—
319D44—22no—
320D44#11714yes—
321C4×D11—216no—
322C4×D11—84no—
323C4×D11—84no—
324Dic22—22no—
325Dic22—22no—
326Dic22—22no—
327Dic22#11714yes—
328C8×C11—41no—
329C8×C11—41no—
330C8×C11—41no—
331C8×C11—41no—
332C22×#41—111no—
333#520—118no—
334#520—224no—
335C2×C4×Q8—111no—
336C2×C4×Q8—111no—
337C2×C4×D4—111no—
338C2×C4×D4—111no—
339C2×C4×D4—221no—
340C2×C4×D4—221no—
341C2×#117—221no—
342C2×#117C2×D1111yescharacteristic
343C22×C4⋊C4—111no—
344C22×C4⋊C4—221no—
345#433—24no—
346C2×C4⋊C8C2×D1111yescharacteristic
347C2×C4⋊C8C2×D1111yescharacteristic
348C2×#103—111no—
349C2×#103—111no—
350C2×#103—111no—
351C2×#103—111no—
352C2×#102—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×#102—111no—
356C2×C22⋊C8C2×D1111yescharacteristic
357C2×C22⋊C8C2×D1111yescharacteristic
358C2×#97C2×D1111yescharacteristic
359C2×C4×C8C2×D1111yescharacteristic
360#388—221no—
361#388—221no—
362#387—221no—
363#387—221no—
364#384—111no—
365#382—111no—
366#380—111no—
367#380—111no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—111no—
370#340—111no—
371#340—111no—
372#340—111no—
373#340—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#340—111no—
378C22×C11—22no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—41no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11C22×C22⋊C411yescharacteristic
386C22×C11#52511yescharacteristic
387C22×C11#52511yescharacteristic
388C22×C11#57611yescharacteristic
389C22×C11#57711yescharacteristic
390C22×C11#57711yescharacteristic
391C22×C11#57811yescharacteristic
392C2×D11—24no—
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—42no—
397C2×D11—42no—
398C2×D11—42no—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—22no—
404C4×C11C2×#11711yescharacteristic
405C4×C11C2×#11711yescharacteristic
406C4×C11#52511yescharacteristic
407C4×C11#52511yescharacteristic
408Dic11—24no—
409Dic11—42no—
410Dic11—42no—
411Dic11—81no—
412Dic11—81no—
413Dic11—81no—
414Dic11—81no—
415C2×#41—114no—
416C2×#41—222no—
417C2×#41—222no—
418C2×#41—222no—
419C2×#41—222no—
420C2×#41—222no—
421C22×Q8—111no—
422C22×D4—111no—
423C22×D4—221no—
424C23×C4—221no—
425C23×C4—221no—
426C23×C4—221no—
427C23×C4—221no—
428C23×C4C22×D1111yescharacteristic
429C22×C8C22×D1111yescharacteristic
430C22×C8C22×D1111yescharacteristic
431C22×C8C22×D1111yescharacteristic
432C22×C8C22×D1111yescharacteristic
433C4×Q8—114no—
434C4×Q8—114no—
435C4×Q8—222no—
436C4×Q8—222no—
437C4×D4—114no—
438C4×D4—114no—
439C4×D4—228no—
440C4×D4—228no—
441C4×D4—222no—
442C4×D4—222no—
443#117—228no—
444#117C4×D1114yes—
445#117C22⋊D1114yes—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—111no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—221no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—222no—
457C2×C4⋊C4—228no—
458C2×C4⋊C4—221no—
459C2×C4⋊C4—221no—
460C2×C4⋊C4D4411yescharacteristic
461C2×C4⋊C4D4411yescharacteristic
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4—221no—
466C2×C22⋊C4D4411yescharacteristic
467C2×C22⋊C4D4411yescharacteristic
468C2×C42—221no—
469C2×C42—221no—
470C2×C42—221no—
471C2×C42—221no—
472C2×C42C22×D1111yescharacteristic
473C2×C42C22×D1111yescharacteristic
474C4⋊C8—22no—
475C4⋊C8—22no—
476#103—222no—
477#103—222no—
478#103—222no—
479#103—222no—
480#102—222no—
481#102—222no—
482#102—222no—
483#102—222no—
484C22⋊C8—22no—
485C22⋊C8—22no—
486#97—22no—
487C4×C8—22no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95—221no—
493#95—221no—
494C2×C11—42no—
495C2×C11#228011yescharacteristic
496C2×C11#289711yescharacteristic
497C2×C11#289811yescharacteristic
498C2×C11#311911yescharacteristic
499C2×C11#312011yescharacteristic
500C2×C11#312411yescharacteristic
501C2×C11#312511yescharacteristic
502D11—44no—
503C24—221no—
504C24C2×D4411yescharacteristic
505#41—228no—
506#41—228no—
507#41—228no—
508#41—228no—
509C2×Q8—112no—
510C2×Q8—112no—
511C2×Q8—112no—
512C2×Q8—221no—
513C2×Q8—221no—
514C2×Q8—221no—
515C2×D4—112no—
516C2×D4—112no—
517C2×D4—112no—
518C2×D4—224no—
519C2×D4—224no—
520C2×D4—224no—
521C2×D4—221no—
522C2×D4—221no—
523C2×D4—221no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—224no—
529C22×C4—224no—
530C22×C4—221no—
531C22×C4—224no—
532C22×C4—221no—
533C22×C4—221no—
534C22×C4—224no—
535C22×C4—224no—
536C22×C4—224no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—221no—
541C22×C4—881no—
542C22×C4—881no—
543C22×C4—881no—
544C22×C4—881no—
545C22×C4—881no—
546C22×C4—881no—
547C22×C4C2×C4×D1112yes—
548C22×C4C2×D4411yescharacteristic
549C22×C4C2×D4411yescharacteristic
550C22×C4C2×D4411yescharacteristic
551C22×C4C2×D4411yescharacteristic
552C22×C4C2×D4411yescharacteristic
553C22×C4C2×C22⋊D1112yes—
554C22×C4C23×D1111yescharacteristic
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C4⋊C4—112no—
568C4⋊C4—112no—
569C4⋊C4—224no—
570C4⋊C4—224no—
571C4⋊C4—224no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C4⋊C4—221no—
576C4⋊C4—221no—
577C4⋊C4—221no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—881no—
583C4⋊C4—881no—
584C4⋊C4(C2×D11)⋊C414yes—
585C4⋊C4(C2×D11)⋊C414yes—
586C22⋊C4—224no—
587C22⋊C4—224no—
588C22⋊C4—881no—
589C22⋊C4—881no—
590C22⋊C4(C2×D11)⋊C414yes—
591C22⋊C4(C2×D11)⋊C414yes—
592C42—224no—
593C42—224no—
594C42—881no—
595C42—881no—
596C42C2×C4×D1112yes—
597C42C2×C4×D1112yes—
598C42C2×C22⋊D1112yes—
599C42C2×C22⋊D1112yes—
600C11#2074611yescharacteristic, complemented, Sylow
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—222no—
608C23—222no—
609C23—222no—
610C23—441no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23C2×(C2×D11)⋊C412yes—
615C23C22×D4411yescharacteristic
616Q8—114no—
617Q8—222no—
618Q8—222no—
619Q8—222no—
620D4—114no—
621D4—2216no—
622D4—222no—
623D4—222no—
624D4—222no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—2216no—
640C2×C4—222no—
641C2×C4—222no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—884no—
662C2×C4—884no—
663C2×C4—884no—
664C2×C4C2×(C2×D11)⋊C412yes—
665C2×C4C2×(C2×D11)⋊C412yes—
666C2×C4C2×(C2×D11)⋊C412yes—
667C2×C4C2×(C2×D11)⋊C412yes—
668C2×C4C2×(C2×D11)⋊C412yes—
669C2×C4C22×C4×D1111yescharacteristic
670C2×C4#41×D1111yescharacteristic
671C2×C4#41×D1111yescharacteristic
672C2×C4#41×D1111yescharacteristic
673C2×C4#41×D1111yescharacteristic
674C2×C4C22×C22⋊D1111yescharacteristic
675C8—41no—
676C8—41no—
677C8—41no—
678C8—41no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—224no—
687C22—442no—
688C22—442no—
689C22—442no—
690C22—442no—
691C22—442no—
692C22—442no—
693C22#1062305511yescharacteristic
694C22#1062305511yescharacteristic
695C22#1062328211yescharacteristic
696C22#1062328211yescharacteristic
697C22#1062328311yescharacteristic
698C22#1062328411yescharacteristic
699C22C22×(C2×D11)⋊C411yescharacteristic
700C4—22no—
701C4—22no—
702C4—22no—
703C4—22no—
704C4—22no—
705C4—224no—
706C4—442no—
707C4—442no—
708C4—881no—
709C4—881no—
710C4—881no—
711C4—881no—
712C4D11×#11711yescharacteristic
713C4D11×#11711yescharacteristic
714C4#1062335911yescharacteristic
715C4#1062335911yescharacteristic
716C2—42no—
717C2—444no—
718C2#1307099511yescharacteristic
719C2#1307714311yescharacteristic
720C2#1307715011yescharacteristic
721C2#1307881711yescharacteristic
722C2#1307883211yescharacteristic
723C2#1307888011yescharacteristic
724C2#1307889511yescharacteristic
subgroupG/H
centerC23C22×D44
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC2×C11×#433C2
socleC23×C11C22×D4
prime radicalC22×#4339C22
cosocleC22×C4×C11C24
hypercenterC2×#433D11
hypocenterC11#20746
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
2. #13071225C2semidirect
3. #13068707C2semidirect
4. #13068703C2semidirect
5. #13068632C2semidirect
6. #13068627C2semidirect
7. #13068622C2semidirect
8. #13068617C2semidirect
11. #13068447C2semidirect
12. #13068442C2semidirect
13. C4×#66880C2semidirect
14. C4×#66885C2semidirect
15. C2×C11×#433C2semidirect
20. #10623054C4semidirect
240. C2×#433D11semidirect
600. C11#20746semidirect

Maximal subgroups

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

subgroupindex
C2×#106230542
#130712252
#130687072
#130687032
#130686322
#130686272
#130686222
#130686172
#130685572
#130684472
#130684422
C4×#668802
C4×#668852
C2×C11×#4332
#2074611