Finite Group Databasebeta

← #14681918

Subgroups — #14681918

Order 2816.

2386 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66983C211yesmaximal, characteristic
2C2×#10622570C212yesmaximal, complemented
3C2×#10622266C212yesmaximal, complemented
4#13066860C212yesmaximal, complemented
5#13066856C212yesmaximal, complemented
6#13066855C212yesmaximal, complemented
7#13066852C212yesmaximal, complemented
8#13066839C211yesmaximal, characteristic, complemented
9C11×C22⋊#95C211yesmaximal, characteristic, complemented
10C24×C4×C11C2211yescharacteristic
11C23×C22⋊D11C2212yes—
12C23×D44C2211yescharacteristic
13C22×C11×C22⋊C4C2211yescharacteristic
14C22×C11×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic11C2212yes—
16C2×#66983—28no—
17C2×#66983C418yescomplemented
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2212yes—
21C22×(C2×D11)⋊C4C2212yes—
22C22×(C2×D11)⋊C4C2212yes—
23C22×C4⋊Dic11C2211yescharacteristic
24C22×Dic11⋊C4C2212yes—
25C22×C4×Dic11C2212yes—
26C2×C11×#95C2212yes—
27C2×C11×#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2212yes—
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2211yescharacteristic
32C2×C11⋊#95C2211yescharacteristic
33#10622570—28no—
34#10622266—28no—
35C25×C11C2311yescharacteristic
36C24×D11C2312yes—
37C23×C4×C11—24no—
38C23×C4×C11—41no—
39C23×C4×C11—41no—
40C23×C4×C11—42no—
41C23×C4×C11C2×C414yes—
42C23×C4×C11C2312yes—
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C22×C22⋊D11—24no—
47C22×C22⋊D11—24no—
48C22×C22⋊D11—24no—
49C22×C22⋊D11—24no—
50C22×C22⋊D11—42no—
51C22×C22⋊D11—42no—
52C22×C22⋊D11C2×C418yes—
53C23×Dic11C2312yes—
54C23×Dic11C2312yes—
55C23×Dic11C2312yes—
56C22×D44—24no—
57C22×D44—41no—
58C22×D44—41no—
59C22×D44—42no—
60C22×D44C2×C414yes—
61C2×C11×C22⋊C4—22no—
62C2×C11×C22⋊C4—41no—
63C2×C11×C22⋊C4—41no—
64C2×C11×C22⋊C4—41no—
65C2×C11×C22⋊C4—41no—
66C2×C11×C22⋊C4D414yescomplemented
67C2×C22⋊Dic11—24no—
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—42no—
70#66983—232no—
71C2×(C2×D11)⋊C4—24no—
72C2×(C2×D11)⋊C4—24no—
73C2×(C2×D11)⋊C4—24no—
74C2×(C2×D11)⋊C4—24no—
75C2×(C2×D11)⋊C4—24no—
76C2×(C2×D11)⋊C4—24no—
77C2×(C2×D11)⋊C4—42no—
78C2×(C2×D11)⋊C4—42no—
79C2×(C2×D11)⋊C4—42no—
80C2×(C2×D11)⋊C4—42no—
81C2×(C2×D11)⋊C4—42no—
82C2×(C2×D11)⋊C4—42no—
83C2×(C2×D11)⋊C4—42no—
84C2×(C2×D11)⋊C4—42no—
85C2×(C2×D11)⋊C4C2×C418yes—
86C2×C4⋊Dic11C2×C414yes—
87C2×C4⋊Dic11D418yes—
88C2×Dic11⋊C4—24no—
89C2×Dic11⋊C4—24no—
90C2×Dic11⋊C4—42no—
91C2×C4×Dic11—24no—
92C2×C4×Dic11—24no—
93C2×C4×Dic11—42no—
94C11×#95—24no—
95C11×#95—42no—
96C11⋊#95—24no—
97C11⋊#95—24no—
98C11⋊#95—24no—
99C11⋊#95—41no—
100C11⋊#95—41no—
101#14418—111nomaximal, Sylow
102C24×C11—22no—
103C24×C11—22no—
104C24×C11—22no—
105C24×C11—21no—
106C24×C11—21no—
107C24×C11—21no—
108C24×C11—22no—
109C24×C11—21no—
110C24×C11C22×C412yes—
111C24×C11C2×D412yes—
112C24×C11#4112yes—
113C24×C11C2411yescharacteristic
114C23×D11—22no—
115C23×D11—22no—
116C23×D11—22no—
117C23×D11—22no—
118C23×D11—22no—
119C23×D11—22no—
120C23×D11—22no—
121C23×D11—22no—
122C23×D11—22no—
123C23×D11—22no—
124C23×D11—22no—
125C23×D11—22no—
126C23×D11—22no—
127C23×D11—22no—
128C23×D11C22×C414yes—
129C22×C4×C11—21no—
130C22×C4×C11—21no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—22no—
135C22×C4×C11—21no—
136C22×C4×C11—21no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11—22no—
142C22×C4×C11—28no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—22no—
147C22×C4×C11—22no—
148C22×C4×C11—22no—
149C22×C4×C11—22no—
150C22×C4×C11—44no—
151C22×C4×C11—44no—
152C22×C4×C11—48no—
153C22×C4×C11—48no—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C22×C412yes—
156C22×C4×C11C2×D414yes—
157C22×C4×C11C2×D414yes—
158C2×C22⋊D11—216no—
159C2×C22⋊D11—216no—
160C2×C22⋊D11—48no—
161C2×C22⋊D11—48no—
162C2×C22⋊D11—48no—
163C2×C22⋊D11—48no—
164C2×C22⋊D11—48no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—22no—
170C22×Dic11—22no—
171C22×Dic11—22no—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—22no—
175C22×Dic11—22no—
176C22×Dic11—22no—
177C22×Dic11—22no—
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—22no—
181C22×Dic11—22no—
182C22×Dic11C22×C414yes—
183C22×Dic11C2×D414yes—
184C22×Dic11C2×D414yes—
185C22×Dic11#4114yes—
186C2×D44—28no—
187C2×D44—44no—
188C2×D44—44no—
189C2×D44—48no—
190C2×D44—48no—
191C11×C22⋊C4—44no—
192C11×C22⋊C4—44no—
193C22⋊Dic11—48no—
194(C2×D11)⋊C4—216no—
195(C2×D11)⋊C4—48no—
196(C2×D11)⋊C4—48no—
197(C2×D11)⋊C4—48no—
198(C2×D11)⋊C4—48no—
199C4⋊Dic11C22⋊C4116yescomplemented
200Dic11⋊C4—48no—
201C4×Dic11—48no—
202C22×#121—111no—
203C2×#390—112no—
204C2×#387—112no—
205#1439—112no—
206#1438—112no—
207#1438—112no—
208#1437—112no—
209C22⋊#95—111no—
210C22⋊#95D1111yescharacteristic, complemented
211C23×C11—22no—
212C23×C11—22no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—22no—
219C23×C11—22no—
220C23×C11—22no—
221C23×C11—24no—
222C23×C11—24no—
223C23×C11—24no—
224C23×C11—24no—
225C23×C11—42no—
226C23×C11—42no—
227C23×C11—42no—
228C23×C11—42no—
229C23×C11—42no—
230C23×C11—42no—
231C23×C11—42no—
232C23×C11—42no—
233C23×C11C4×D414yes—
234C23×C11C23×C411yescharacteristic
235C23×C11C22×D411yescharacteristic
236C23×C11C22×D412yes—
237C23×C11C2×#4111yescharacteristic
238C23×C11C2×#4112yes—
239C23×C11H(5,𝔽2)11yescharacteristic
240C23×C11H(5,𝔽2)11yescharacteristic
241C23×C11H(5,𝔽2)12yes—
242C23×C11H(5,𝔽2)11yescharacteristic
243C23×C11H(5,𝔽2)12yes—
244C23×C112−1+411yescharacteristic
245C22×D11—24no—
246C22×D11—24no—
247C22×D11—24no—
248C22×D11—24no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—24no—
252C22×D11—42no—
253C22×D11—42no—
254C22×D11—42no—
255C22×D11—42no—
256C22×D11—42no—
257C22×D11—42no—
258C22×D11—42no—
259C22×D11—42no—
260C22×D11—42no—
261C22×D11—42no—
262C22×D11—42no—
263C22×D11—42no—
264C22×D11—42no—
265C22×D11—42no—
266C22×D11—42no—
267C22×D11—42no—
268C22×D11—42no—
269C22×D11—42no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—42no—
273C22×D11—42no—
274C22×D11—42no—
275C22×D11—42no—
276C22×D11—42no—
277C22×D11—42no—
278C22×D11—42no—
279C22×D11—42no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—416no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11—42no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11C2×C22⋊C414yes—
305C22⋊D11—432no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—42no—
316C2×Dic11—42no—
317C2×Dic11—42no—
318C2×Dic11—42no—
319C2×Dic11—42no—
320C2×Dic11—42no—
321C2×Dic11—42no—
322C2×Dic11—42no—
323C2×Dic11—42no—
324C2×Dic11—42no—
325C2×Dic11—42no—
326C2×Dic11C2×C22⋊C418yes—
327D44—416no—
328C23×D4—112no—
329C23×D4—111no—
330C24×C4C2×D1111yescharacteristic
331C2×#121—118no—
332C2×#121—228no—
333C22×C4⋊C4—111no—
334C22×C4⋊C4—112no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4—112no—
337C22×C22⋊C4—112no—
338C22×C22⋊C4—112no—
339C22×C22⋊C4—112no—
340C22×C22⋊C4—112no—
341C22×C22⋊C4C2×D1111yescharacteristic
342C22×C22⋊C4C2×D1111yescharacteristic
343C22×C42—112no—
344#390—228no—
345#387—228no—
346C2×#95—112no—
347C2×#95—112no—
348C2×#95—112no—
349C2×#95—111no—
350C2×#95—111no—
351C2×#95C2×D1112yes—
352C2×#95C2×D1112yes—
353C22×C11—24no—
354C22×C11—24no—
355C22×C11—24no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—44no—
361C22×C11—44no—
362C22×C11—44no—
363C22×C11—44no—
364C22×C11C22×C22⋊C411yescharacteristic
365C22×C11C2×C4×D411yescharacteristic
366C22×C11C4×#4111yescharacteristic
367C22×C11#51811yescharacteristic
368C22×C11#51811yescharacteristic
369C22×C11#51811yescharacteristic
370C22×C11#52011yescharacteristic
371C22×C11#53411yescharacteristic
372C22×C11#53512yes—
373C22×C11#53512yes—
374C22×C11#53711yescharacteristic
375C22×C11#53811yescharacteristic
376C22×C11#53812yes—
377C22×C11#53911yescharacteristic
378C22×C11#54012yes—
379C22×C11D4212yes—
380C22×C11#54612yes—
381C22×C11#54612yes—
382C22×C11#54812yes—
383C22×C11#55012yes—
384C22×C11#55312yes—
385C22×C11#56012yes—
386C22×C11#56212yes—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C2×D11—44no—
391C2×D11—44no—
392C2×D11—44no—
393C2×D11—44no—
394C2×D11—82no—
395C2×D11—82no—
396C2×D11—82no—
397C2×D11—82no—
398C2×D11—82no—
399C2×D11—82no—
400C2×D11—82no—
401C2×D11—82no—
402C4×C11—24no—
403C4×C11—42no—
404C4×C11—44no—
405C4×C11—82no—
406Dic11—28no—
407Dic11—44no—
408Dic11—82no—
409C25—112no—
410C25C22×D1111yescharacteristic
411C22×D4—118no—
412C22×D4—114no—
413C22×D4—224no—
414C22×D4—224no—
415C22×D4—224no—
416C22×D4—224no—
417C22×D4—224no—
418C22×D4—441no—
419C22×D4—441no—
420C22×D4—442no—
421C22×D4—442no—
422C22×D4—442no—
423C23×C4—24no—
424C23×C4—42no—
425C23×C4—41no—
426C23×C4—41no—
427C23×C4—112no—
428C23×C4—112no—
429C23×C4—112no—
430C23×C4C4×D1114yes—
431C23×C4C22×D1112yes—
432C23×C4C22×D1111yescharacteristic
433C23×C4C22×D1112yes—
434C23×C4C22×D1111yescharacteristic
435#121—2232no—
436C2×C4⋊C4—114no—
437C2×C4⋊C4—118no—
438C2×C4⋊C4—224no—
439C2×C4⋊C4—224no—
440C2×C4⋊C4—442no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—41no—
443C2×C22⋊C4—41no—
444C2×C22⋊C4—41no—
445C2×C22⋊C4—41no—
446C2×C22⋊C4—118no—
447C2×C22⋊C4—224no—
448C2×C22⋊C4—224no—
449C2×C22⋊C4—224no—
450C2×C22⋊C4—224no—
451C2×C22⋊C4—224no—
452C2×C22⋊C4—224no—
453C2×C22⋊C4—224no—
454C2×C22⋊C4—224no—
455C2×C22⋊C4—442no—
456C2×C22⋊C4—442no—
457C2×C22⋊C4—442no—
458C2×C22⋊C4—442no—
459C2×C22⋊C4—442no—
460C2×C22⋊C4—442no—
461C2×C22⋊C4—442no—
462C2×C22⋊C4—442no—
463C2×C22⋊C4—442no—
464C2×C22⋊C4D4414yescomplemented
465C2×C42—224no—
466C2×C42—224no—
467C2×C42—442no—
468#95—24no—
469#95—42no—
470#95—224no—
471#95—224no—
472#95—224no—
473#95—441no—
474#95—441no—
475C2×C11—44no—
476C2×C11#230911yescharacteristic
477C2×C11#232511yescharacteristic
478C2×C11#233311yescharacteristic
479C2×C11D4×C22⋊C411yescharacteristic
480C2×C11#234111yescharacteristic
481C2×C11#236411yescharacteristic
482C2×C11#237711yescharacteristic
483C2×C11#267312yes—
484C2×C11#267612yes—
485C2×C11#271112yes—
486C2×C11#271412yes—
487D11—84no—
488C24—22no—
489C24—21no—
490C24—21no—
491C24—21no—
492C24—22no—
493C24—21no—
494C24—22no—
495C24—22no—
496C24—114no—
497C24—222no—
498C24—222no—
499C24—222no—
500C24—222no—
501C24—222no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24—222no—
508C24—222no—
509C24—222no—
510C24—222no—
511C24C2×C4×D1112yes—
512C24C2×D4412yes—
513C24#433912yes—
514C24C23×D1111yescharacteristic
515C2×D4—2216no—
516C2×D4—2216no—
517C2×D4—228no—
518C2×D4—444no—
519C2×D4—444no—
520C2×D4—448no—
521C2×D4—448no—
522C2×D4—448no—
523C2×D4—448no—
524C2×D4—448no—
525C2×D4—448no—
526C2×D4—448no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—28no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—48no—
551C22×C4—48no—
552C22×C4—114no—
553C22×C4—114no—
554C22×C4—114no—
555C22×C4—114no—
556C22×C4—222no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—222no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—222no—
565C22×C4—222no—
566C22×C4—222no—
567C22×C4—222no—
568C22×C4—222no—
569C22×C4—222no—
570C22×C4—222no—
571C22×C4—222no—
572C22×C4—222no—
573C22×C4C2×C4×D1112yes—
574C22×C4C2×C4×D1112yes—
575C22×C4C2×D4414yes—
576C22×C4D4×D1114yes—
577C4⋊C4—1116no—
578C4⋊C4—448no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—2216no—
582C22⋊C4—448no—
583C22⋊C4—448no—
584C22⋊C4—448no—
585C22⋊C4—448no—
586C22⋊C4—448no—
587C42—448no—
588C11#1441811yescharacteristic, complemented, Sylow
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—224no—
617C23—224no—
618C23—442no—
619C23—442no—
620C23—442no—
621C23—442no—
622C23—442no—
623C23—442no—
624C23—442no—
625C23—442no—
626C23—442no—
627C23—442no—
628C23—442no—
629C23—442no—
630C23—442no—
631C23—442no—
632C23—442no—
633C23—442no—
634C23—442no—
635C23—442no—
636C23—442no—
637C23—442no—
638C23—442no—
639C23—442no—
640C23—442no—
641C23—442no—
642C23—442no—
643C23—442no—
644C23—442no—
645C23—442no—
646C23C4×D4414yes—
647C23C22×C4×D1111yescharacteristic
648C23C22×D4411yescharacteristic
649C23C2×#433911yescharacteristic
650C23C2×D4×D1112yes—
651C23#6703711yescharacteristic
652C23#6703711yescharacteristic
653C23#6703712yes—
654C23#6703711yescharacteristic
655C23#6704011yescharacteristic
656C23#41×D1112yes—
657C23#6704212yes—
658D4—4416no—
659D4—4432no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—416no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—118no—
685C2×C4—224no—
686C2×C4—224no—
687C2×C4—224no—
688C2×C4—224no—
689C2×C4—224no—
690C2×C4—224no—
691C2×C4—224no—
692C2×C4—224no—
693C2×C4—224no—
694C2×C4—442no—
695C2×C4—442no—
696C2×C4—442no—
697C2×C4—442no—
698C2×C4—442no—
699C2×C4—442no—
700C2×C4—442no—
701C2×C4—442no—
702C2×C4—442no—
703C2×C4—442no—
704C2×C4—442no—
705C2×C4C22⋊C4×D1114yes—
706C22—24no—
707C22—24no—
708C22—24no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—44no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—444no—
718C22—444no—
719C22—444no—
720C22—444no—
721C22—444no—
722C22—444no—
723C22—444no—
724C22—882no—
725C22—882no—
726C22—882no—
727C22—882no—
728C22—882no—
729C22—882no—
730C22—882no—
731C22—882no—
732C22C2×C4×D4411yescharacteristic
733C22C2×C22⋊C4×D1111yescharacteristic
734C22#1062301711yescharacteristic
735C22#1062301711yescharacteristic
736C22#1062302411yescharacteristic
737C22#1062302511yescharacteristic
738C22#1062303511yescharacteristic
739C22#1062304111yescharacteristic
740C22#1062304611yescharacteristic
741C22#1062305211yescharacteristic
742C22#1062305311yescharacteristic
743C22#1062307112yes—
744C22D4×D4412yes—
745C22#1062308112yes—
746C22#1062308512yes—
747C22#1062312312yes—
748C22#1062312312yes—
749C22#1062313012yes—
750C22#1062315112yes—
751C22#1062316412yes—
752C22#1062317812yes—
753C22#1062318812yes—
754C22#1062319412yes—
755C4—24no—
756C4—42no—
757C4—44no—
758C4—82no—
759C4—228no—
760C4—444no—
761C4—882no—
762C2—44no—
763C2—884no—
764C2#1307119711yescharacteristic
765C2#1307131911yescharacteristic
766C2#1307137811yescharacteristic
767C2C22⋊C4×D4411yescharacteristic
768C2#1307145311yescharacteristic
769C2#1307166611yescharacteristic
770C2#1307177011yescharacteristic
771C2#1307488012yes—
772C2#1307492012yes—
773C2#1307537612yes—
774C2#1307541512yes—
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×C22⋊#95C2
socle, cosocleC24×C11C24
prime radicalC22×#66983C2
hypercenterC22⋊#95D11
hypocenterC11#14418
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ C22⋊#95

Complements

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

NH ≅ G/Ntype
2. C2×#10622570C2semidirect
3. C2×#10622266C2semidirect
4. #13066860C2semidirect
5. #13066856C2semidirect
6. #13066855C2semidirect
7. #13066852C2semidirect
8. #13066839C2semidirect
9. C11×C22⋊#95C2semidirect
17. C2×#66983C4semidirect
66. C2×C11×C22⋊C4D4semidirect
199. C4⋊Dic11C22⋊C4semidirect
210. C22⋊#95D11semidirect
464. C2×C22⋊C4D44semidirect
588. C11#14418semidirect

Maximal subgroups

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

subgroupindex
C22×#669832
C2×#106225702
C2×#106222662
#130668602
#130668562
#130668552
#130668522
#130668392
C11×C22⋊#952
#1441811