Finite Group Databasebeta

← #26124469

Subgroups — #26124469

Order 12032.

814 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13093955C211yesmaximal, characteristic
2C2×#15688885C211yesmaximal, characteristic
3C2×#15688885C211yesmaximal, characteristic
4C2×#15688885C211yesmaximal, characteristic
5C2×#15688878C211yesmaximal, characteristic
6#20241618C211yesmaximal, characteristic
7C47×C4⋊#95C211yesmaximal, characteristic
8C23×C47⋊C8C2211yescharacteristic
9C23×C47⋊C8C2211yescharacteristic
10C22×C4⋊Dic47C2211yescharacteristic
11C22×C4⋊Dic47C2211yescharacteristic
12C2×#13093955—22no—
13C2×#13093955—22no—
14C2×#13093955—22no—
15C2×C47⋊#95—21no—
16C2×C47⋊#95—21no—
17#15688885—22no—
18#15688885—22no—
19#15688885C414yescomplemented
20#15688878—22no—
21C22×C4⋊C4×C47C2211yescharacteristic
22C22×C4⋊C4×C47C2211yescharacteristic
23C22×C42×C47C2211yescharacteristic
24C2×#95×C47—21no—
25C2×#95×C47—21no—
26C23×Dic47—21no—
27C23×Dic47—21no—
28C22×C47⋊C8—21no—
29C22×C47⋊C8—21no—
30C22×C47⋊C8—21no—
31C22×C47⋊C8—21no—
32C22×C47⋊C8—21no—
33C22×C47⋊C8—21no—
34C22×C47⋊C8—21no—
35C22×C47⋊C8—21no—
36C22×C47⋊C8—21no—
37C22×C47⋊C8—21no—
38C22×C47⋊C8C2×C412yes—
39C22×C47⋊C8D412yes—
40C22×C47⋊C8Q812yes—
41C22×C47⋊C8Q812yes—
42C2×C4⋊Dic47—21no—
43C2×C4⋊Dic47—21no—
44C2×C4⋊Dic47—21no—
45C2×C4⋊Dic47—21no—
46C2×C4⋊Dic47—21no—
47C2×C4⋊Dic47—21no—
48C2×C4⋊Dic47—21no—
49C2×C4⋊Dic47—21no—
50C2×C4⋊Dic47—21no—
51C2×C4⋊Dic47—21no—
52C2×C4⋊Dic47C2×C412yes—
53C2×C4⋊Dic47D412yes—
54#13093955—28no—
55C47⋊#95—42no—
56C47⋊#95—42no—
57C23×C4×C47—21no—
58C23×C4×C47—21no—
59C23×C4×C47D411yescharacteristic
60C23×C4×C47D411yescharacteristic
61C23×C4×C47C2311yescharacteristic
62C2×C4⋊C4×C47—21no—
63C2×C4⋊C4×C47—21no—
64C2×C4⋊C4×C47—21no—
65C2×C4⋊C4×C47—21no—
66C2×C4⋊C4×C47—21no—
67C2×C4⋊C4×C47—21no—
68C2×C4⋊C4×C47—21no—
69C2×C4⋊C4×C47—21no—
70C2×C4⋊C4×C47—21no—
71C2×C4⋊C4×C47—21no—
72C2×C4⋊C4×C47C2×C412yes—
73C2×C4⋊C4×C47D412yes—
74C2×C42×C47—21no—
75C2×C42×C47—21no—
76C2×C42×C47—21no—
77C2×C42×C47—21no—
78C2×C42×C47—21no—
79C2×C42×C47—21no—
80#95×C47—42no—
81#95×C47—42no—
82C24×C47C2×D411yescharacteristic
83C22×C4×C47—21no—
84C22×C4×C47—21no—
85C22×C4×C47—21no—
86C22×C4×C47—21no—
87C22×C4×C47—21no—
88C22×C4×C47—21no—
89C22×C4×C47—21no—
90C22×C4×C47—21no—
91C22×C4×C47—21no—
92C22×C4×C47—21no—
93C22×C4×C47—21no—
94C22×C4×C47—21no—
95C22×C4×C47—22no—
96C22×C4×C47—22no—
97C22×C4×C47—41no—
98C22×C4×C47—41no—
99C22×C4×C47—41no—
100C22×C4×C47—41no—
101C22×C4×C47—41no—
102C22×C4×C47—41no—
103C22×C4×C47—41no—
104C22×C4×C47—41no—
105C22×C4×C47—41no—
106C22×C4×C47—41no—
107C22×C4×C47—41no—
108C22×C4×C47—41no—
109C22×C4×C47SD1612yes—
110C22×C4×C47SD1612yes—
111C22×C4×C47C22×C411yescharacteristic
112C22×C4×C47C2×D411yescharacteristic
113C22×C4×C47C2×D411yescharacteristic
114C22×C4×C47C2×D411yescharacteristic
115C22×C4×C47C2×Q811yescharacteristic
116C22×C4×C47C2×Q811yescharacteristic
117C22×C4×C47#4111yescharacteristic
118C22×C4×C47#4111yescharacteristic
119C22×C4×C47#4111yescharacteristic
120C22×C4×C47#4111yescharacteristic
121C22×C4×C47#4111yescharacteristic
122C22×C4×C47#4111yescharacteristic
123C22×C4×C47#4111yescharacteristic
124C22×C4×C47#4111yescharacteristic
125C22×Dic47—22no—
126C22×Dic47—22no—
127C22×Dic47—41no—
128C22×Dic47—41no—
129C22×Dic47—41no—
130C22×Dic47—41no—
131C22×Dic47—41no—
132C22×Dic47—41no—
133C22×Dic47—41no—
134C22×Dic47—41no—
135C22×Dic47—41no—
136C22×Dic47—41no—
137C22×Dic47—41no—
138C22×Dic47—41no—
139C4⋊C4×C47—22no—
140C4⋊C4×C47—22no—
141C4⋊C4×C47—22no—
142C4⋊C4×C47—22no—
143C4⋊C4×C47—41no—
144C4⋊C4×C47—41no—
145C4⋊C4×C47—41no—
146C4⋊C4×C47—41no—
147C42×C47—41no—
148C42×C47—41no—
149C42×C47—41no—
150C42×C47—41no—
151C4⋊Dic47—22no—
152C4⋊Dic47—22no—
153C4⋊Dic47—22no—
154C4⋊Dic47—22no—
155C4⋊Dic47—41no—
156C4⋊Dic47—41no—
157C4⋊Dic47—41no—
158C4⋊Dic47—41no—
159C2×C47⋊C8—22no—
160C2×C47⋊C8—22no—
161C2×C47⋊C8—22no—
162C2×C47⋊C8—22no—
163C2×C47⋊C8—22no—
164C2×C47⋊C8—22no—
165C2×C47⋊C8—22no—
166C2×C47⋊C8—22no—
167C2×C47⋊C8—22no—
168C2×C47⋊C8—41no—
169C2×C47⋊C8—41no—
170C2×C47⋊C8—41no—
171C2×C47⋊C8—41no—
172C2×C47⋊C8C4⋊C414yes—
173C23×C47C4×D411yescharacteristic
174C23×C47#12111yescharacteristic
175C23×C47#12111yescharacteristic
176C23×C47#12111yescharacteristic
177C23×C47#12311yescharacteristic
178C23×C47#12311yescharacteristic
179C23×C47C4⋊Q811yescharacteristic
180C23×C47C2×SD1611yescharacteristic
181C23×C47C2×SD1611yescharacteristic
182C23×C47#13511yescharacteristic
183C23×C47#13511yescharacteristic
184C23×C47AGL(1,ℤ/8)11yescharacteristic
185C23×C47AGL(1,ℤ/8)11yescharacteristic
186C23×C47#13711yescharacteristic
187C23×C47#13711yescharacteristic
188C2×C4×C47—22no—
189C2×C4×C47—22no—
190C2×C4×C47—22no—
191C2×C4×C47—22no—
192C2×C4×C47—22no—
193C2×C4×C47—22no—
194C2×C4×C47—41no—
195C2×C4×C47—41no—
196C2×C4×C47—41no—
197C2×C4×C47—41no—
198C2×C4×C47—41no—
199C2×C4×C47—41no—
200C2×C4×C47—41no—
201C2×C4×C47—41no—
202C2×C4×C47—42no—
203C2×C4×C47—42no—
204C2×C4×C47—42no—
205C2×C4×C47—42no—
206C2×C4×C47—42no—
207C2×C4×C47—42no—
208C2×C4×C47—81no—
209C2×C4×C47—81no—
210C2×C4×C47—81no—
211C2×C4×C47—81no—
212C2×C4×C47—81no—
213C2×C4×C47—81no—
214C2×C4×C47—81no—
215C2×C4×C47—81no—
216C2×C4×C47C2×C4⋊C411yescharacteristic
217C2×C4×C47#11711yescharacteristic
218C2×C4×C47#11711yescharacteristic
219C2×C4×C47C4×D411yescharacteristic
220C2×C4×C47C4×D411yescharacteristic
221C2×C4×C47C4×Q811yescharacteristic
222C2×C4×C47#12011yescharacteristic
223C2×C4×C47C22⋊Q811yescharacteristic
224C2×C4×C47C22⋊Q811yescharacteristic
225C2×C4×C47C22⋊Q811yescharacteristic
226C2×C4×C47C22⋊Q811yescharacteristic
227C2×C4×C47C22⋊Q811yescharacteristic
228C2×C4×C47#12311yescharacteristic
229C2×C4×C47#12311yescharacteristic
230C2×C4×C47#12311yescharacteristic
231C2×C4×C47#12411yescharacteristic
232C2×C4×C47#12411yescharacteristic
233C2×C4×C47#12411yescharacteristic
234C2×C4×C47#12411yescharacteristic
235C2×C4×C47#12511yescharacteristic
236C2×C4×C47#12511yescharacteristic
237C2×C4×C47#12511yescharacteristic
238C2×C4×C47#12511yescharacteristic
239C2×C4×C47#12511yescharacteristic
240C2×C4×C47#12611yescharacteristic
241C2×C4×C47#12611yescharacteristic
242C2×C4×C47#12611yescharacteristic
243C2×C4×C47#12611yescharacteristic
244C2×Dic47—42no—
245C2×Dic47—42no—
246C2×Dic47—42no—
247C2×Dic47—42no—
248C2×Dic47—42no—
249C2×Dic47—42no—
250C2×Dic47—81no—
251C2×Dic47—81no—
252C2×Dic47—81no—
253C2×Dic47—81no—
254C2×Dic47—81no—
255C2×Dic47—81no—
256C2×Dic47—81no—
257C2×Dic47—81no—
258C47⋊C8—24no—
259C47⋊C8—42no—
260#11257—471nomaximal, Sylow
261C22×C47#38811yescharacteristic
262C22×C47#38811yescharacteristic
263C22×C47#38911yescharacteristic
264C22×C47#39411yescharacteristic
265C22×C47#39711yescharacteristic
266C22×C47#39811yescharacteristic
267C22×C47#39811yescharacteristic
268C22×C47C4×SD1611yescharacteristic
269C22×C47C4×SD1611yescharacteristic
270C22×C47#44111yescharacteristic
271C22×C47#44211yescharacteristic
272C22×C47#46011yescharacteristic
273C22×C47#46011yescharacteristic
274C22×C47#46111yescharacteristic
275C22×C47#46111yescharacteristic
276C22×C47#46311yescharacteristic
277C22×C47#46311yescharacteristic
278C22×C47#46411yescharacteristic
279C22×C47#46411yescharacteristic
280C22×C47#46511yescharacteristic
281C22×C47#46511yescharacteristic
282C22×C47#46811yescharacteristic
283C22×C47#46811yescharacteristic
284C22×C47#48111yescharacteristic
285C22×C47#48111yescharacteristic
286C22×C47#48211yescharacteristic
287C22×C47#48211yescharacteristic
288C22×C47#48311yescharacteristic
289C22×C47#48311yescharacteristic
290C22×C47#48511yescharacteristic
291C22×C47#48511yescharacteristic
292C22×C47#49811yescharacteristic
293C22×C47#49911yescharacteristic
294C22×C47#50111yescharacteristic
295C22×C47#50111yescharacteristic
296C4×C47—42no—
297C4×C47—42no—
298C4×C47—82no—
299C4×C47—82no—
300C4×C47#38211yescharacteristic
301C4×C47#38511yescharacteristic
302C4×C47#38711yescharacteristic
303C4×C47#38711yescharacteristic
304C4×C47#39311yescharacteristic
305C4×C47#40011yescharacteristic
306C4×C47#40011yescharacteristic
307C4×C47#40011yescharacteristic
308Dic47—82no—
309Dic47—82no—
310C22×#106—471no—
311C2×#340—471no—
312C2×#340—471no—
313C2×#340—471no—
314C2×#336—471no—
315C4⋊#95—471no—
316C4⋊#95D4711yescharacteristic
317C2×C47#144211yescharacteristic
318C2×C47#192611yescharacteristic
319C2×C47#192611yescharacteristic
320C2×C47#192711yescharacteristic
321C2×C47#192711yescharacteristic
322C2×C47#194111yescharacteristic
323C2×C47#194311yescharacteristic
324C2×C47#205511yescharacteristic
325C2×C47#205511yescharacteristic
326C2×C47#207711yescharacteristic
327C2×C47#207711yescharacteristic
328C2×C47#208411yescharacteristic
329C2×C47#208411yescharacteristic
330C2×C47#208511yescharacteristic
331C2×C47#208511yescharacteristic
332C23×C8—471no—
333C23×C8—471no—
334C22×C4⋊C4—471no—
335C22×C4⋊C4—471no—
336C22×C4⋊C4C2×D4711yescharacteristic
337C22×C4⋊C4C2×D4711yescharacteristic
338C22×C42C2×D4711yescharacteristic
339C2×#106—942no—
340C2×#106—942no—
341C2×#106—942no—
342C2×#95—21no—
343C2×#95—21no—
344C2×#95—941no—
345C2×#95—941no—
346#340—474no—
347#340—942no—
348#340—942no—
349#336—942no—
350C47#1125711yescharacteristic, complemented, Sylow
351C23×C4—21no—
352C23×C4—21no—
353C23×C4—941no—
354C23×C4—941no—
355C23×C4C22⋊D4711yescharacteristic
356C23×C4C22⋊D4711yescharacteristic
357C23×C4C22×D4711yescharacteristic
358C22×C8—472no—
359C22×C8—472no—
360C22×C8—472no—
361C22×C8—472no—
362C22×C8—941no—
363C22×C8—941no—
364C22×C8—941no—
365C22×C8—941no—
366C22×C8—941no—
367C22×C8—941no—
368C22×C8—941no—
369C22×C8—941no—
370C22×C8—941no—
371C22×C8—941no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—472no—
383C2×C4⋊C4—472no—
384C2×C4⋊C4—941no—
385C2×C4⋊C4—941no—
386C2×C4⋊C4—941no—
387C2×C4⋊C4—941no—
388C2×C4⋊C4—941no—
389C2×C4⋊C4—941no—
390C2×C4⋊C4—941no—
391C2×C4⋊C4—941no—
392C2×C4⋊C4—941no—
393C2×C4⋊C4—941no—
394C2×C4⋊C4C4×D4712yes—
395C2×C4⋊C4D18812yes—
396C2×C42—21no—
397C2×C42—21no—
398C2×C42—21no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—21no—
402#106—948no—
403#95—42no—
404#95—42no—
405#95—1882no—
406#95—1882no—
407C24C2×C22⋊D4711yescharacteristic
408C22×C4—21no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—22no—
421C22×C4—22no—
422C22×C4—41no—
423C22×C4—41no—
424C22×C4—41no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—942no—
435C22×C4—942no—
436C22×C4—1881no—
437C22×C4—1881no—
438C22×C4—1881no—
439C22×C4—1881no—
440C22×C4—1881no—
441C22×C4—1881no—
442C22×C4—1881no—
443C22×C4—1881no—
444C22×C4—1881no—
445C22×C4—1881no—
446C22×C4—1881no—
447C22×C4—1881no—
448C22×C4#1062533512yes—
449C22×C4#1062533612yes—
450C22×C4C2×C4×D4711yescharacteristic
451C22×C4C2×D18811yescharacteristic
452C22×C4#1062535011yescharacteristic
453C22×C4#1062535011yescharacteristic
454C22×C4#1062535011yescharacteristic
455C22×C4#1062535011yescharacteristic
456C22×C4D4×D4711yescharacteristic
457C22×C4D4×D4711yescharacteristic
458C22×C4#1062535211yescharacteristic
459C22×C4#1062535211yescharacteristic
460C22×C4#1062535211yescharacteristic
461C22×C4#1062535211yescharacteristic
462C22×C4Q8×D4711yescharacteristic
463C22×C4Q8×D4711yescharacteristic
464C2×C8—474no—
465C2×C8—942no—
466C2×C8—942no—
467C2×C8—942no—
468C2×C8—942no—
469C2×C8—942no—
470C2×C8—942no—
471C2×C8—942no—
472C2×C8—942no—
473C2×C8—942no—
474C2×C8—1881no—
475C2×C8—1881no—
476C2×C8—1881no—
477C2×C8—1881no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—41no—
483C4⋊C4—41no—
484C4⋊C4—41no—
485C4⋊C4—41no—
486C4⋊C4—942no—
487C4⋊C4—942no—
488C4⋊C4—942no—
489C4⋊C4—942no—
490C4⋊C4—1881no—
491C4⋊C4—1881no—
492C4⋊C4—1881no—
493C4⋊C4—1881no—
494C42—41no—
495C42—41no—
496C42—41no—
497C42—41no—
498C23C4×C22⋊D4711yescharacteristic
499C23#1309399511yescharacteristic
500C23#1309399611yescharacteristic
501C23#1309399811yescharacteristic
502C23#1309400511yescharacteristic
503C23#1309400711yescharacteristic
504C23#1309402211yescharacteristic
505C23C2×#1062533611yescharacteristic
506C23C2×#1062533511yescharacteristic
507C23#1309404411yescharacteristic
508C23#1309404411yescharacteristic
509C23#1309404911yescharacteristic
510C23#1309405011yescharacteristic
511C23#1309405411yescharacteristic
512C23#1309405511yescharacteristic
513C2×C4—22no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—22no—
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—41no—
520C2×C4—41no—
521C2×C4—41no—
522C2×C4—41no—
523C2×C4—41no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—41no—
527C2×C4—42no—
528C2×C4—42no—
529C2×C4—42no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—42no—
533C2×C4—81no—
534C2×C4—81no—
535C2×C4—81no—
536C2×C4—81no—
537C2×C4—81no—
538C2×C4—81no—
539C2×C4—81no—
540C2×C4—81no—
541C2×C4—3761no—
542C2×C4—3761no—
543C2×C4—3761no—
544C2×C4—3761no—
545C2×C4—3761no—
546C2×C4—3761no—
547C2×C4—3761no—
548C2×C4—3761no—
549C2×C4—1882no—
550C2×C4—1882no—
551C2×C4—1882no—
552C2×C4—1882no—
553C2×C4—1882no—
554C2×C4—1882no—
555C2×C4C4⋊C4×D4711yescharacteristic
556C2×C4#1309398011yescharacteristic
557C2×C4#1309398111yescharacteristic
558C2×C4(C22⋊D47)⋊C411yescharacteristic
559C2×C4C4×D18811yescharacteristic
560C2×C4#1309398911yescharacteristic
561C2×C4#1309399411yescharacteristic
562C2×C4#1309400211yescharacteristic
563C2×C4#1309400211yescharacteristic
564C2×C4#1309400211yescharacteristic
565C2×C4#1309400411yescharacteristic
566C2×C4#1309400411yescharacteristic
567C2×C4#1309400611yescharacteristic
568C2×C4#1309400611yescharacteristic
569C2×C4#1309400811yescharacteristic
570C2×C4#1309401011yescharacteristic
571C2×C4#1309401011yescharacteristic
572C2×C4#1309401011yescharacteristic
573C2×C4#1309401211yescharacteristic
574C2×C4#1309401411yescharacteristic
575C2×C4#1309401411yescharacteristic
576C2×C4#1309401411yescharacteristic
577C2×C4#1309401411yescharacteristic
578C2×C4#1309401411yescharacteristic
579C2×C4#1309401711yescharacteristic
580C2×C4#1309401711yescharacteristic
581C2×C4#1309401711yescharacteristic
582C2×C4#1309401811yescharacteristic
583C8—944no—
584C8—1882no—
585C22#1568901111yescharacteristic
586C22#1568901411yescharacteristic
587C22#1568901811yescharacteristic
588C22#1568903911yescharacteristic
589C22#1568905111yescharacteristic
590C22#1568905311yescharacteristic
591C22#1568905411yescharacteristic
592C22C4×#1062533511yescharacteristic
593C22C4×#1062533611yescharacteristic
594C22#1568922811yescharacteristic
595C22#1568923311yescharacteristic
596C22#1568932011yescharacteristic
597C22#1568932311yescharacteristic
598C22#1568932511yescharacteristic
599C22#1568932811yescharacteristic
600C22#1568933511yescharacteristic
601C22#1568933811yescharacteristic
602C22#1568934211yescharacteristic
603C22#1568934511yescharacteristic
604C22#1568935011yescharacteristic
605C22#1568935411yescharacteristic
606C22#1568936711yescharacteristic
607C22#1568937111yescharacteristic
608C22#1568943911yescharacteristic
609C22#1568944111yescharacteristic
610C22#1568944411yescharacteristic
611C22#1568944711yescharacteristic
612C22#1568945111yescharacteristic
613C22#1568945311yescharacteristic
614C22#1568946111yescharacteristic
615C22#1568946411yescharacteristic
616C22#1568951911yescharacteristic
617C22#1568952211yescharacteristic
618C22#1568952911yescharacteristic
619C22#1568953311yescharacteristic
620C4—42no—
621C4—42no—
622C4—82no—
623C4—82no—
624C4—3762no—
625C4—3762no—
626C4#1568898711yescharacteristic
627C4#1568899711yescharacteristic
628C4#1568900511yescharacteristic
629C4#1568900811yescharacteristic
630C4#1568903611yescharacteristic
631C4#1568906311yescharacteristic
632C4#1568906411yescharacteristic
633C4#1568906411yescharacteristic
634C2#2024164311yescharacteristic
635C2#2024401211yescharacteristic
636C2#2024401511yescharacteristic
637C2#2024401911yescharacteristic
638C2#2024402211yescharacteristic
639C2#2024411311yescharacteristic
640C2#2024412311yescharacteristic
641C2#2024470311yescharacteristic
642C2#2024470511yescharacteristic
643C2#2024482411yescharacteristic
644C2#2024482511yescharacteristic
645C2#2024486411yescharacteristic
646C2#2024486511yescharacteristic
647C2#2024486911yescharacteristic
648C2#2024487011yescharacteristic
subgroupG/H
centerC24C2×C22⋊D47
commutatorC22×C4×C47C22×C4
FrattiniC23×C4C22×D47
FittingC47×C4⋊#95C2
socle, prime radicalC24×C47C2×D4
cosocleC23×C4×C47C23
hypercenterC4⋊#95D47
hypocenterC47#11257
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C42 ◁ C4⋊#95

Complements

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

NH ≅ G/Ntype
19. #15688885C4semidirect
350. C47#11257semidirect

Maximal subgroups

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

subgroupindex
C22×#130939552
C2×#156888852
C2×#156888782
#202416182
C47×C4⋊#952
#1125747