Finite Group Databasebeta

← #14797483

Subgroups — #14797483

Order 2816.

1006 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622427C211yesmaximal, characteristic, complemented
2#13071955C211yesmaximal, characteristic
3#13071541C211yesmaximal, characteristic, complemented
4#13070135C211yesmaximal, characteristic, complemented
5#13070037C211yesmaximal, characteristic, complemented
6#13069810C211yesmaximal, characteristic, complemented
7#13069804C211yesmaximal, characteristic, complemented
8#13069252C211yesmaximal, characteristic, complemented
9#13069246C211yesmaximal, characteristic, complemented
10#13068935C211yesmaximal, characteristic, complemented
11#13068913C211yesmaximal, characteristic, complemented
12#13068809C211yesmaximal, characteristic, complemented
13#13068649C211yesmaximal, characteristic, complemented
14#13068556C211yesmaximal, characteristic, complemented
15C2×C11×#417C211yesmaximal, characteristic, complemented
16C22×C11×#41C2211yescharacteristic
17C22×C11×M16C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×#66999C2211yescharacteristic
20C2×#66991C2211yescharacteristic
21C2×C4×C22⋊D11C2211yescharacteristic
22C2×#66945C2211yescharacteristic
23C11×#417—24no—
24C2×C11×#103C2211yescharacteristic
25C2×C11×#103C2211yescharacteristic
26C2×C11×#102C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28#10622843C2211yescharacteristic
29C2×#66899C2211yescharacteristic
30C2×#66899C2211yescharacteristic
31#10622836—21no—
32#10622835—21no—
33#10622834C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36#10622826—21no—
37#10622826—21no—
38#10622825C2211yescharacteristic
39#10622825C2211yescharacteristic
40#10622823—21no—
41C4×C22⋊Dic11—21no—
42C2×C22⋊(C11⋊C8)C2211yescharacteristic
43C2×(C2×D11)⋊C8C2211yescharacteristic
44C2×(C2×D11)⋊C8C2211yescharacteristic
45C2×#66882C2211yescharacteristic
46C2×#66881C2211yescharacteristic
47#10622603—21no—
48#10622600C2211yescharacteristic
49#10622591—21no—
50#10622590C2211yescharacteristic
51C4⋊C4×Dic11C2211yescharacteristic
52C2×#66872C2211yescharacteristic
53C2×#66872C2211yescharacteristic
54#10622427—24no—
55#10622189C2211yescharacteristic
56#10622189C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C2×C11×#41—22no—
62C2×C11×#41—22no—
63C2×C11×#41—22no—
64C2×C11×#41—22no—
65C2×C11×#41—41no—
66C2×C11×#41—41no—
67C22×Q8×C11C2311yescharacteristic
68C22×D4×C11—21no—
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C22×C22⋊D11—21no—
74C22×C22⋊D11D411yescharacteristic
75C22×C4×D11C2311yescharacteristic
76C2×C11×M16—22no—
77C2×C11×M16—22no—
78C2×C11×M16—41no—
79C22×C8×C11C2311yescharacteristic
80C22×C8×C11C2311yescharacteristic
81C2×C11×C4⋊C4—22no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4—41no—
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C22⋊Dic11—21no—
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90C2×C22⋊Dic11—21no—
91C2×C22⋊Dic11D411yescharacteristic
92#66999—22no—
93#66999—41no—
94#66991—22no—
95#66991—41no—
96C4×C22⋊D11—22no—
97C4×C22⋊D11—22no—
98C2×(C2×D11)⋊C4—21no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4D411yescharacteristic
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×C4⋊Dic11C2311yescharacteristic
105C2×C4⋊Dic11C2311yescharacteristic
106C2×Dic11⋊C4—21no—
107C2×Dic11⋊C4D411yescharacteristic
108C2×C4×Dic11—21no—
109C2×C4×Dic11—21no—
110C2×C4×Dic11C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113#66945—22no—
114#66945—41no—
115C11×#103—22no—
116C11×#103D414yescomplemented
117C11×#102—22no—
118C11×#102—22no—
119#66899—22no—
120#66899—41no—
121#66896—22no—
122#66896—41no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C22⋊(C11⋊C8)—22no—
132(C2×D11)⋊C8—22no—
133(C2×D11)⋊C8—41no—
134#66882—22no—
135#66881—41no—
136#66872—22no—
137#66872—41no—
138#24891—111nomaximal, Sylow
139C24×C11—21no—
140C24×C11C2×D411yescharacteristic
141C23×D11C2×D411yescharacteristic
142C11×#41—28no—
143C11×#41—44no—
144C11×#41—44no—
145C11×#41—44no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11C2×D412yes—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—42no—
158C2×D4×C11—42no—
159C2×D4×C11—42no—
160C2×D4×C11#4112yes—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—42no—
169C22×C4×C11—42no—
170C22×C4×C11—42no—
171C22×C4×C11—42no—
172C22×C4×C11—42no—
173C22×C4×C11—81no—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11#4112yes—
176C22×C4×C11#4112yes—
177C22×C4×C11C2411yescharacteristic
178C2×C22⋊D11—22no—
179C2×C22⋊D11—41no—
180C2×C22⋊D11—41no—
181C2×C22⋊D11—42no—
182C2×C22⋊D11—42no—
183C2×C22⋊D11—81no—
184C22×Dic11—21no—
185C22×Dic11—21no—
186C22×Dic11—21no—
187C22×Dic11—21no—
188C22×Dic11C2×D411yescharacteristic
189C22×Dic11C2×D411yescharacteristic
190C22×Dic11C2×D411yescharacteristic
191C2×C4×D11—21no—
192C2×C4×D11—21no—
193C2×C4×D11—21no—
194C2×C4×D11—21no—
195C2×C4×D11—21no—
196C2×C4×D11—21no—
197C11×M16—44no—
198C2×C8×C11—21no—
199C2×C8×C11—21no—
200C2×C8×C11—21no—
201C2×C8×C11—21no—
202C2×C8×C11—21no—
203C2×C8×C11C2×D412yes—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—42no—
208C11×C4⋊C4C2×D412yes—
209C22⋊Dic11—22no—
210C22⋊Dic11—42no—
211C22⋊Dic11—42no—
212C22⋊Dic11—42no—
213C22⋊Dic11—81no—
214C22⋊Dic11—81no—
215(C2×D11)⋊C4—22no—
216(C2×D11)⋊C4—42no—
217(C2×D11)⋊C4—42no—
218(C2×D11)⋊C4—81no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—21no—
224C4⋊Dic11—21no—
225C4⋊Dic11—21no—
226C4⋊Dic11—21no—
227Dic11⋊C4—22no—
228Dic11⋊C4—42no—
229C4×Dic11—21no—
230C4×Dic11—21no—
231C4×Dic11—42no—
232C4×Dic11—81no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8—21no—
238C2×C11⋊C8—21no—
239C2×#485—111no—
240C2×#417D1111yescharacteristic, complemented
241#2407—111no—
242#2352—111no—
243#2092—111no—
244#2074—111no—
245#2035—111no—
246#2034—111no—
247#1927—111no—
248#1926—111no—
249#1875—111no—
250#1870—111no—
251#1853—111no—
252#1809—111no—
253#1788—111no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—22no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11—41no—
267C23×C11#12312yes—
268C23×C11C22×D411yescharacteristic
269C22×D11—21no—
270C22×D11—21no—
271C22×D11—21no—
272C22×D11—21no—
273C22×D11—21no—
274C22×D11—21no—
275C22×D11—21no—
276Q8×C11—22no—
277Q8×C11—22no—
278Q8×C11—41no—
279Q8×C11—41no—
280D4×C11—22no—
281D4×C11—22no—
282D4×C11—48no—
283D4×C11—41no—
284D4×C11—41no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—48no—
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—84no—
302C2×C4×C11#12312yes—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11C2×#4111yescharacteristic
307C2×C4×C11H(5,𝔽2)11yescharacteristic
308C2×C4×C11H(5,𝔽2)11yescharacteristic
309C22⋊D11—44no—
310C22⋊D11—84no—
311C2×Dic11—21no—
312C2×Dic11—21no—
313C2×Dic11—21no—
314C2×Dic11—21no—
315C2×Dic11—21no—
316C2×Dic11—21no—
317C2×Dic11—21no—
318C2×Dic11—21no—
319C2×Dic11—21no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325C2×Dic11—41no—
326C2×Dic11—41no—
327C2×Dic11—41no—
328C2×Dic11—41no—
329C2×Dic11—41no—
330C2×Dic11—41no—
331C2×Dic11—41no—
332C4×D11—41no—
333C4×D11—41no—
334C4×D11—41no—
335C4×D11—41no—
336C8×C11—22no—
337C8×C11—41no—
338C11⋊C8—41no—
339C11⋊C8—41no—
340C22×#41C2×D1111yescharacteristic
341C22×M16C2×D1111yescharacteristic
342C2×C22⋊Q8—111no—
343C2×#121—111no—
344C2×C4×D4—111no—
345C2×#117—111no—
346C22×C4⋊C4C2×D1111yescharacteristic
347#485—224no—
348C2×#107—111no—
349C2×#106—111no—
350C2×#106—111no—
351C2×#106—111no—
352#417—24no—
353C2×#103—111no—
354C2×#103—111no—
355C2×#103C2×D1111yescharacteristic
356C2×#103C2×D1111yescharacteristic
357C2×#102—111no—
358C2×#102—111no—
359C2×#102C2×D1111yescharacteristic
360C2×#102C2×D1111yescharacteristic
361C2×C22⋊C8—111no—
362C2×C22⋊C8—111no—
363C2×C22⋊C8—111no—
364#394—221no—
365#392—221no—
366#391—111no—
367#390—111no—
368#388—221no—
369#387—221no—
370#386—221no—
371#386—221no—
372#385—221no—
373#382—111no—
374#380—111no—
375#380—111no—
376#380—111no—
377C4×C4⋊C4—111no—
378C4×C22⋊C4—221no—
379#340—111no—
380#340—111no—
381#340—111no—
382#340—111no—
383#336—111no—
384#336—111no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11—22no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11—42no—
393C22×C11—42no—
394C22×C11—42no—
395C22×C11—81no—
396C22×C11—81no—
397C22×C11—81no—
398C22×C11—81no—
399C22×C11C2×#12311yescharacteristic
400C22×C11D4211yescharacteristic
401C22×C11#54611yescharacteristic
402C22×C11#57511yescharacteristic
403C22×C11#57511yescharacteristic
404C22×C11#57711yescharacteristic
405C22×C11#57711yescharacteristic
406C2×D11—41no—
407C2×D11—41no—
408C2×D11—41no—
409C2×D11—41no—
410C2×D11—41no—
411C2×D11—41no—
412C2×D11—41no—
413C4×C11—22no—
414C4×C11—42no—
415C4×C11—42no—
416C4×C11—81no—
417C4×C11#52511yescharacteristic
418C4×C11#53811yescharacteristic
419C4×C11#54611yescharacteristic
420C4×C11#55111yescharacteristic
421Dic11—41no—
422Dic11—41no—
423Dic11—41no—
424Dic11—81no—
425Dic11—81no—
426Dic11—81no—
427Dic11—81no—
428C2×#41—22no—
429C2×#41—22no—
430C2×#41—22no—
431C2×#41—22no—
432C2×#41—41no—
433C2×#41—41no—
434C22×Q8C22×D1111yescharacteristic
435C22×D4—21no—
436C22×D4—111no—
437C22×D4—221no—
438C22×D4C22×D1111yescharacteristic
439C23×C4—21no—
440C23×C4—21no—
441C23×C4—111no—
442C23×C4C22×D1111yescharacteristic
443C2×M16—22no—
444C2×M16—22no—
445C2×M16—41no—
446C22×C8—111no—
447C22×C8—111no—
448C22×C8C22×D1111yescharacteristic
449C22×C8C22×D1111yescharacteristic
450C22⋊Q8—222no—
451C22⋊Q8—441no—
452#121—222no—
453#121—441no—
454C4×D4—222no—
455C4×D4—222no—
456#117—222no—
457#117—441no—
458C2×C4⋊C4—22no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—41no—
461C2×C4⋊C4—111no—
462C2×C4⋊C4—111no—
463C2×C4⋊C4—111no—
464C2×C4⋊C4—111no—
465C2×C4⋊C4—111no—
466C2×C4⋊C4—221no—
467C2×C4⋊C4C22×D1111yescharacteristic
468C2×C4⋊C4C22×D1111yescharacteristic
469C2×C22⋊C4—111no—
470C2×C22⋊C4—111no—
471C2×C22⋊C4—221no—
472C2×C22⋊C4—221no—
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×C42—111no—
480C2×C42—221no—
481C2×C42—221no—
482#107—222no—
483#106—222no—
484#106—441no—
485#106—441no—
486#103—22no—
487#103—222no—
488#103—441no—
489#103C22⋊D1114yescomplemented
490#102—22no—
491#102—22no—
492#102—222no—
493#102—441no—
494C22⋊C8—222no—
495C22⋊C8—222no—
496C22⋊C8—441no—
497#95—221no—
498#95—221no—
499#95—221no—
500#95—221no—
501#95—221no—
502#95—221no—
503#95—221no—
504#95—221no—
505C2×C11—42no—
506C2×C11—82no—
507C2×C11#241811yescharacteristic
508C2×C11#309311yescharacteristic
509C2×C11#309911yescharacteristic
510C2×C11#327111yescharacteristic
511C2×C11#327511yescharacteristic
512C2×C11#330711yescharacteristic
513C2×C11#332311yescharacteristic
514D11—81no—
515C24—21no—
516C24—111no—
517C24D4×D1111yescharacteristic
518#41—28no—
519#41—44no—
520#41—44no—
521#41—44no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8C2×C22⋊D1112yes—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—222no—
537C2×D4—441no—
538C2×D4—441no—
539C2×D4—442no—
540C2×D4—442no—
541C2×D4—881no—
542C2×D4#433912yes—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—42no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—81no—
556C22×C4—111no—
557C22×C4—111no—
558C22×C4—111no—
559C22×C4—221no—
560C22×C4—221no—
561C22×C4—221no—
562C22×C4—221no—
563C22×C4—221no—
564C22×C4—221no—
565C22×C4—221no—
566C22×C4—221no—
567C22×C4—221no—
568C22×C4—221no—
569C22×C4#433912yes—
570C22×C4D4×D1111yescharacteristic
571C22×C4#434112yes—
572C22×C4C23×D1111yescharacteristic
573M16—44no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—221no—
580C2×C8—221no—
581C2×C8—221no—
582C2×C8—221no—
583C2×C8—221no—
584C2×C8—221no—
585C2×C8C2×C22⋊D1112yes—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—42no—
590C4⋊C4—222no—
591C4⋊C4—221no—
592C4⋊C4—221no—
593C4⋊C4—221no—
594C4⋊C4—221no—
595C4⋊C4—221no—
596C4⋊C4—221no—
597C4⋊C4—221no—
598C4⋊C4—221no—
599C4⋊C4—442no—
600C4⋊C4C2×C22⋊D1112yes—
601C22⋊C4—222no—
602C22⋊C4—222no—
603C22⋊C4—442no—
604C22⋊C4—442no—
605C22⋊C4—442no—
606C22⋊C4—442no—
607C22⋊C4—442no—
608C22⋊C4—881no—
609C22⋊C4—881no—
610C22⋊C4—881no—
611C42—221no—
612C42—221no—
613C42—442no—
614C42—881no—
615C11#2489111yescharacteristic, complemented, Sylow
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—22no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—221no—
630C23—221no—
631C23—221no—
632C23—221no—
633C23—221no—
634C23—221no—
635C23—221no—
636C23#6693612yes—
637C23C2×D4×D1111yescharacteristic
638Q8—22no—
639Q8—22no—
640Q8—41no—
641Q8—41no—
642D4—22no—
643D4—22no—
644D4—48no—
645D4—41no—
646D4—41no—
647D4—444no—
648D4—884no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—48no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—84no—
666C2×C4—221no—
667C2×C4—221no—
668C2×C4—221no—
669C2×C4—221no—
670C2×C4—221no—
671C2×C4—221no—
672C2×C4—221no—
673C2×C4—221no—
674C2×C4—221no—
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—441no—
684C2×C4—441no—
685C2×C4—441no—
686C2×C4—441no—
687C2×C4—441no—
688C2×C4—441no—
689C2×C4—441no—
690C2×C4—441no—
691C2×C4#6693612yes—
692C2×C4C2×#433911yescharacteristic
693C2×C4C2×#433911yescharacteristic
694C2×C4C2×#434111yescharacteristic
695C2×C4#6703711yescharacteristic
696C2×C4#6703711yescharacteristic
697C2×C4C22×C22⋊D1111yescharacteristic
698C8—22no—
699C8—41no—
700C8—441no—
701C8—441no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—41no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—441no—
717C22—441no—
718C22—441no—
719C22—441no—
720C22—441no—
721C22—441no—
722C22—441no—
723C22C2×#6693611yescharacteristic
724C22#1062302111yescharacteristic
725C22#1062330411yescharacteristic
726C22#1062330611yescharacteristic
727C22#1062330811yescharacteristic
728C22#1062330911yescharacteristic
729C22D4×C22⋊D1111yescharacteristic
730C4—22no—
731C4—42no—
732C4—42no—
733C4—81no—
734C4—441no—
735C4—441no—
736C4—441no—
737C4—881no—
738C4—881no—
739C4—881no—
740C4—881no—
741C4#1062302511yescharacteristic
742C4#1062302611yescharacteristic
743C4#1062332211yescharacteristic
744C4#1062333711yescharacteristic
745C2—42no—
746C2—82no—
747C2—881no—
748C2#1307207811yescharacteristic
749C2#1307854611yescharacteristic
750C2#1307860411yescharacteristic
751C2#1308019511yescharacteristic
752C2#1308024711yescharacteristic
753C2#1308059311yescharacteristic
754C2#1308083311yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC2×C11×#417C2
socleC23×C11C22×D4
prime radical#13071955C2
hypercenterC2×#417D11
hypocenterC11#24891
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
1. C2×#10622427C2semidirect
3. #13071541C2semidirect
4. #13070135C2semidirect
5. #13070037C2semidirect
6. #13069810C2semidirect
7. #13069804C2semidirect
8. #13069252C2semidirect
9. #13069246C2semidirect
10. #13068935C2semidirect
11. #13068913C2semidirect
12. #13068809C2semidirect
13. #13068649C2semidirect
14. #13068556C2semidirect
15. C2×C11×#417C2semidirect
116. C11×#103D4semidirect
240. C2×#417D11semidirect
489. #103C22⋊D11semidirect
615. C11#24891semidirect

Maximal subgroups

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

subgroupindex
C2×#106224272
#130719552
#130715412
#130701352
#130700372
#130698102
#130698042
#130692522
#130692462
#130689352
#130689132
#130688092
#130686492
#130685562
C2×C11×#4172
#2489111