Finite Group Databasebeta

← #14683137

Subgroups — #14683137

Order 2816.

2282 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622573C211yesmaximal, characteristic
2C2×#10622570C212yesmaximal, complemented
3C2×#10622283C212yesmaximal, complemented
4C2×#10622826C212yesmaximal, complemented
5#13066861C211yesmaximal, characteristic, complemented
6#13066860C212yesmaximal, complemented
7#13066856C212yesmaximal, complemented
8#13066851C212yesmaximal, 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—
16C22×(C2×D11)⋊C4C2212yes—
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2212yes—
19C22×(C2×D11)⋊C4C2212yes—
20C22×(C2×D11)⋊C4C2212yes—
21C22×C4⋊Dic11C2211yescharacteristic
22C22×Dic11⋊C4C2212yes—
23C22×C4×Dic11C2212yes—
24C2×C11×#95C2212yes—
25C2×C11×#95C2212yes—
26#10622826—28no—
27C2×C11⋊#95C2212yes—
28C2×C11⋊#95C2212yes—
29C2×C11⋊#95C2211yescharacteristic
30C2×C11⋊#95C2211yescharacteristic
31C2×C11⋊#95C2212yes—
32#10622573C418yescomplemented
33#10622570—28no—
34#10622283—28no—
35C25×C11C2311yescharacteristic
36C24×D11C2312yes—
37C23×C4×C11—22no—
38C23×C4×C11—24no—
39C23×C4×C11—42no—
40C23×C4×C11—41no—
41C23×C4×C11—41no—
42C23×C4×C11C2311yescharacteristic
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2312yes—
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—42no—
57C22×D44—42no—
58C22×D44—41no—
59C22×D44—41no—
60C22×D44C2×C414yescomplemented
61C2×C11×C22⋊C4—41no—
62C2×C11×C22⋊C4—41no—
63C2×C11×C22⋊C4—41no—
64C2×C11×C22⋊C4—41no—
65C2×C11×C22⋊C4C2×C414yes—
66C2×C11×C22⋊C4D414yescomplemented
67C2×C22⋊Dic11—24no—
68C2×C22⋊Dic11—24no—
69C2×C22⋊Dic11—42no—
70C2×(C2×D11)⋊C4—24no—
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—24no—
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)⋊C4C2×C418yescomplemented
85C2×C4⋊Dic11—24no—
86C2×C4⋊Dic11—41no—
87C2×Dic11⋊C4—24no—
88C2×Dic11⋊C4—24no—
89C2×Dic11⋊C4—42no—
90C2×C4×Dic11—24no—
91C2×C4×Dic11—24no—
92C2×C4×Dic11—42no—
93C11×#95—24no—
94C11×#95—42no—
95C11⋊#95—24no—
96C11⋊#95—42no—
97C11⋊#95—41no—
98C11⋊#95C2×C414yescomplemented
99C11⋊#95D418yescomplemented
100#14521—111nomaximal, Sylow
101C24×C11—22no—
102C24×C11—22no—
103C24×C11—22no—
104C24×C11—21no—
105C24×C11—21no—
106C24×C11—21no—
107C24×C11—22no—
108C24×C11—21no—
109C24×C11C22×C412yes—
110C24×C11C2×D412yes—
111C24×C11#4112yes—
112C24×C11C2411yescharacteristic
113C23×D11—22no—
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×D11C22×C414yes—
128C22×C4×C11—22no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—22no—
133C22×C4×C11—22no—
134C22×C4×C11—21no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—21no—
141C22×C4×C11—22no—
142C22×C4×C11—22no—
143C22×C4×C11—22no—
144C22×C4×C11—22no—
145C22×C4×C11—22no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—44no—
149C22×C4×C11—48no—
150C22×C4×C11—48no—
151C22×C4×C11—44no—
152C22×C4×C11—44no—
153C22×C4×C11C22×C412yes—
154C22×C4×C11C22×C412yes—
155C22×C4×C11C2×D414yes—
156C22×C4×C11C2×D414yes—
157C2×C22⋊D11—216no—
158C2×C22⋊D11—216no—
159C2×C22⋊D11—48no—
160C2×C22⋊D11—48no—
161C2×C22⋊D11—48no—
162C2×C22⋊D11—48no—
163C2×C22⋊D11—48no—
164C22×Dic11—22no—
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×Dic11C22×C414yes—
182C22×Dic11C2×D414yes—
183C22×Dic11C2×D414yes—
184C22×Dic11#4114yes—
185C2×D44—44no—
186C2×D44—48no—
187C2×D44—48no—
188C2×D44—44no—
189C2×D44—44no—
190C11×C22⋊C4—44no—
191C11×C22⋊C4—44no—
192C22⋊Dic11—48no—
193(C2×D11)⋊C4—216no—
194(C2×D11)⋊C4—48no—
195(C2×D11)⋊C4—48no—
196(C2×D11)⋊C4—48no—
197(C2×D11)⋊C4—48no—
198C4⋊Dic11—44no—
199Dic11⋊C4—48no—
200C4×Dic11—48no—
201C2×#392—111no—
202C2×#390—112no—
203C2×#388—112no—
204C2×#386—112no—
205#1439—112no—
206#1439—111no—
207#1438—112no—
208#1436—112no—
209C22⋊#95D1111yescharacteristic, complemented
210C23×C11—24no—
211C23×C11—22no—
212C23×C11—24no—
213C23×C11—22no—
214C23×C11—22no—
215C23×C11—22no—
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—24no—
219C23×C11—24no—
220C23×C11—24no—
221C23×C11—24no—
222C23×C11—42no—
223C23×C11—42no—
224C23×C11—42no—
225C23×C11—42no—
226C23×C11—41no—
227C23×C11—42no—
228C23×C11—41no—
229C23×C11—42no—
230C23×C11—41no—
231C23×C11—41no—
232C23×C11C4×D414yes—
233C23×C11C23×C411yescharacteristic
234C23×C11C22×D411yescharacteristic
235C23×C11C22×D412yes—
236C23×C11C2×#4111yescharacteristic
237C23×C11C2×#4112yes—
238C23×C11H(5,𝔽2)11yescharacteristic
239C23×C11H(5,𝔽2)12yes—
240C23×C11H(5,𝔽2)11yescharacteristic
241C23×C11H(5,𝔽2)11yescharacteristic
242C23×C11H(5,𝔽2)12yes—
243C23×C112−1+411yescharacteristic
244C22×D11—24no—
245C22×D11—24no—
246C22×D11—24no—
247C22×D11—24no—
248C22×D11—24no—
249C22×D11—24no—
250C22×D11—24no—
251C22×D11—42no—
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—
279C2×C4×C11—24no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—24no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—416no—
290C2×C4×C11—42no—
291C2×C4×C11—42no—
292C2×C4×C11—42no—
293C2×C4×C11—42no—
294C2×C4×C11—41no—
295C2×C4×C11—42no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—41no—
299C2×C4×C11—42no—
300C2×C4×C11—41no—
301C2×C4×C11—42no—
302C2×C4×C11—41no—
303C2×C4×C11—42no—
304C22⋊D11—432no—
305C2×Dic11—24no—
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—42no—
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×Dic11C4×D418yes—
326D44—416no—
327C23×D4—112no—
328C23×D4—111no—
329C24×C4C2×D1111yescharacteristic
330C22×C4⋊C4—112no—
331C22×C4⋊C4—111no—
332C22×C22⋊C4—112no—
333C22×C22⋊C4—112no—
334C22×C22⋊C4—112no—
335C22×C22⋊C4—112no—
336C22×C22⋊C4—112no—
337C22×C22⋊C4—112no—
338C22×C22⋊C4C2×D1111yescharacteristic
339C22×C22⋊C4C2×D1111yescharacteristic
340C22×C42—112no—
341#392—118no—
342#390—228no—
343#388—228no—
344#386—228no—
345C2×#95—111no—
346C2×#95—112no—
347C2×#95—112no—
348C2×#95—112no—
349C2×#95—111no—
350C2×#95C2×D1112yes—
351C2×#95C2×D1112yes—
352C22×C11—24no—
353C22×C11—28no—
354C22×C11—44no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—44no—
359C22×C11—42no—
360C22×C11—44no—
361C22×C11—42no—
362C22×C11—42no—
363C22×C11C2×C4×D411yescharacteristic
364C22×C11C2×C4×D412yes—
365C22×C11#51811yescharacteristic
366C22×C11#51812yes—
367C22×C11#52011yescharacteristic
368C22×C11#53411yescharacteristic
369C22×C11#53512yes—
370C22×C11#53711yescharacteristic
371C22×C11#53712yes—
372C22×C11#53811yescharacteristic
373C22×C11#53911yescharacteristic
374C22×C11#54012yes—
375C22×C11#54212yes—
376C22×C11D4212yes—
377C22×C11D4211yescharacteristic
378C22×C11#54612yes—
379C22×C11#54612yes—
380C22×C11#55012yes—
381C22×C11#55112yes—
382C22×C11#55911yescharacteristic
383C22×C11#56012yes—
384C22×C11#56011yescharacteristic
385C22×C11H(3,𝔽4)11yescharacteristic
386C2×D11—44no—
387C2×D11—44no—
388C2×D11—44no—
389C2×D11—44no—
390C2×D11—44no—
391C2×D11—44no—
392C2×D11—44no—
393C2×D11—82no—
394C2×D11—82no—
395C2×D11—82no—
396C2×D11—82no—
397C2×D11—82no—
398C2×D11—82no—
399C2×D11—82no—
400C2×D11—82no—
401C4×C11—42no—
402C4×C11—42no—
403C4×C11—44no—
404C4×C11—44no—
405Dic11—28no—
406Dic11—44no—
407Dic11—82no—
408C25—112no—
409C25C22×D1111yescharacteristic
410C22×D4—118no—
411C22×D4—114no—
412C22×D4—224no—
413C22×D4—224no—
414C22×D4—224no—
415C22×D4—224no—
416C22×D4—442no—
417C22×D4—441no—
418C22×D4—441no—
419C22×D4—442no—
420C22×D4—442no—
421C22×D4—442no—
422C23×C4—22no—
423C23×C4—24no—
424C23×C4—42no—
425C23×C4—41no—
426C23×C4—41no—
427C23×C4—112no—
428C23×C4—112no—
429C23×C4—112no—
430C23×C4C22×D1111yescharacteristic
431C23×C4C22×D1111yescharacteristic
432C23×C4C22×D1112yes—
433C23×C4C22×D1112yes—
434C2×C4⋊C4—224no—
435C2×C4⋊C4—224no—
436C2×C4⋊C4—224no—
437C2×C4⋊C4—442no—
438C2×C4⋊C4—441no—
439C2×C22⋊C4—41no—
440C2×C22⋊C4—41no—
441C2×C22⋊C4—41no—
442C2×C22⋊C4—41no—
443C2×C22⋊C4—118no—
444C2×C22⋊C4—224no—
445C2×C22⋊C4—224no—
446C2×C22⋊C4—224no—
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—442no—
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⋊C4C4×D1114yes—
462C2×C22⋊C4D4414yescomplemented
463C2×C42—224no—
464C2×C42—224no—
465C2×C42—442no—
466#95—24no—
467#95—42no—
468#95—114no—
469#95—118no—
470#95—224no—
471#95—441no—
472#95—442no—
473C2×C11—44no—
474C2×C11#232412yes—
475C2×C11#232511yescharacteristic
476C2×C11#235812yes—
477C2×C11#236611yescharacteristic
478C2×C11#237511yescharacteristic
479C2×C11#267011yescharacteristic
480C2×C11#267312yes—
481C2×C11#267511yescharacteristic
482C2×C11#270512yes—
483C2×C11#271211yescharacteristic
484C2×C11#275211yescharacteristic
485D11—84no—
486C24—22no—
487C24—21no—
488C24—21no—
489C24—21no—
490C24—22no—
491C24—21no—
492C24—22no—
493C24—22no—
494C24—114no—
495C24—222no—
496C24—222no—
497C24—222no—
498C24—222no—
499C24—222no—
500C24—222no—
501C24—222no—
502C24—222no—
503C24—222no—
504C24—222no—
505C24—222no—
506C24—222no—
507C24—222no—
508C24—222no—
509C24C2×C4×D1112yes—
510C24C2×D4412yes—
511C24#433912yes—
512C24C23×D1111yescharacteristic
513C2×D4—2216no—
514C2×D4—2216no—
515C2×D4—444no—
516C2×D4—448no—
517C2×D4—444no—
518C2×D4—448no—
519C2×D4—444no—
520C2×D4—448no—
521C2×D4—448no—
522C2×D4—448no—
523C2×D4—448no—
524C2×D4—448no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—44no—
546C22×C4—48no—
547C22×C4—48no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—114no—
551C22×C4—114no—
552C22×C4—114no—
553C22×C4—114no—
554C22×C4—222no—
555C22×C4—222no—
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×C4C2×C4×D1112yes—
572C22×C4C2×C4×D1112yes—
573C22×C4C2×D4414yes—
574C22×C4D4×D1114yes—
575C4⋊C4—448no—
576C4⋊C4—444no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—2216no—
580C22⋊C4—448no—
581C22⋊C4—448no—
582C22⋊C4—448no—
583C22⋊C4—448no—
584C22⋊C4—448no—
585C42—448no—
586C11#1452111yescharacteristic, complemented, Sylow
587C23—22no—
588C23—24no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—41no—
600C23—42no—
601C23—41no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—41no—
609C23—224no—
610C23—224no—
611C23—224no—
612C23—224no—
613C23—224no—
614C23—224no—
615C23—224no—
616C23—442no—
617C23—442no—
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—
644C23C4×D4414yes—
645C23C22×C4×D1111yescharacteristic
646C23C22×D4411yescharacteristic
647C23C2×#433911yescharacteristic
648C23C2×D4×D1112yes—
649C23#6703711yescharacteristic
650C23#6703711yescharacteristic
651C23#6703712yes—
652C23#6703711yescharacteristic
653C23#6704011yescharacteristic
654C23#41×D1112yes—
655C23#6704212yes—
656D4—4416no—
657D4—4432no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—416no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—118no—
684C2×C4—224no—
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—442no—
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—
704C22—24no—
705C22—28no—
706C22—42no—
707C22—44no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—44no—
713C22—44no—
714C22—42no—
715C22—444no—
716C22—444no—
717C22—444no—
718C22—444no—
719C22—444no—
720C22—444no—
721C22—444no—
722C22—882no—
723C22—882no—
724C22—882no—
725C22—882no—
726C22—882no—
727C22—882no—
728C22—882no—
729C22—882no—
730C22C2×C4×D4411yescharacteristic
731C22#1062301711yescharacteristic
732C22#1062302112yes—
733C22#1062302411yescharacteristic
734C22#1062302511yescharacteristic
735C22#1062303511yescharacteristic
736C22#1062304111yescharacteristic
737C22#1062304611yescharacteristic
738C22#1062305812yes—
739C22C4×D4×D1112yes—
740C22#1062307612yes—
741C22D4×D4412yes—
742C22#1062308512yes—
743C22#1062312111yescharacteristic
744C22#1062312312yes—
745C22#1062312511yescharacteristic
746C22#1062313012yes—
747C22#1062315112yes—
748C22#1062316012yes—
749C22#1062317112yes—
750C22#1062319412yes—
751C22#1062319511yescharacteristic
752C22#1062319711yescharacteristic
753C4—42no—
754C4—42no—
755C4—44no—
756C4—44no—
757C4—228no—
758C4—444no—
759C4—882no—
760C2—44no—
761C2—884no—
762C2#1307130812yes—
763C2#1307131911yescharacteristic
764C2#1307159812yes—
765C2#1307167911yescharacteristic
766C2#1307175411yescharacteristic
767C2#1307484211yescharacteristic
768C2#1307488012yes—
769C2#1307490711yescharacteristic
770C2#1307528912yes—
771C2#1307538411yescharacteristic
772C2#1307588011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×C22⋊#95C2
socle, cosocleC24×C11C24
prime radicalC2×#10622573C2
hypercenterC22⋊#95D11
hypocenterC11#14521
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×#10622283C2semidirect
4. C2×#10622826C2semidirect
5. #13066861C2semidirect
6. #13066860C2semidirect
7. #13066856C2semidirect
8. #13066851C2semidirect
9. C11×C22⋊#95C2semidirect
32. #10622573C4semidirect
60. C22×D44C2×C4semidirect
66. C2×C11×C22⋊C4D4semidirect
84. C2×(C2×D11)⋊C4C2×C4semidirect
98. C11⋊#95C2×C4semidirect
99. C11⋊#95D4semidirect
209. C22⋊#95D11semidirect
462. C2×C22⋊C4D44semidirect
586. C11#14521semidirect

Maximal subgroups

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

subgroupindex
C2×#106225732
C2×#106225702
C2×#106222832
C2×#106228262
#130668612
#130668602
#130668562
#130668512
C11×C22⋊#952
#1452111