Finite Group Databasebeta

← #25146746

Subgroups — #25146746

Order 11008.

914 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583200C211yesmaximal, characteristic, complemented
2#19139761C211yesmaximal, characteristic, complemented
3#19139496C211yesmaximal, characteristic
4#19136028C211yesmaximal, characteristic, complemented
5#19136023C211yesmaximal, characteristic, complemented
6#19135785C211yesmaximal, characteristic, complemented
7#19135778C211yesmaximal, characteristic, complemented
8#19135560C211yesmaximal, characteristic, complemented
9#19135365C211yesmaximal, characteristic, complemented
10#19135023C211yesmaximal, characteristic, complemented
11#19135023C211yesmaximal, characteristic, complemented
12#19134624C211yesmaximal, characteristic, complemented
13#19134620C211yesmaximal, characteristic, complemented
14C4×#13063247C211yesmaximal, characteristic, complemented
15C2×C8×D4×C43C211yesmaximal, characteristic, complemented
16C2×#13063317C2211yescharacteristic
17C2×#13063299C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×C4×D172C2211yescharacteristic
20#14583200—24no—
21C2×#13063259C2211yescharacteristic
22C2×#13063259C2211yescharacteristic
23C2×#13063257C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063247C2211yescharacteristic
26C2×#13063247C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29#14582837—21no—
30#14582825—21no—
31#14582813—21no—
32#14582807—21no—
33#14582793—21no—
34#14582793—21no—
35#14582775—21no—
36#14582775—21no—
37#14582765C2211yescharacteristic
38#14582759C2211yescharacteristic
39#14582759C2211yescharacteristic
40#14582759C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582759C2211yescharacteristic
43#14582759C2211yescharacteristic
44C4×C4⋊Dic43C2211yescharacteristic
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582662C2211yescharacteristic
53C23×C8×C43C2211yescharacteristic
54C23×C8×C43C2211yescharacteristic
55C2×C4×D4×C43C2211yescharacteristic
56C8×D4×C43—24no—
57C2×C4⋊C8×C43C2211yescharacteristic
58C2×C22⋊C8×C43C2211yescharacteristic
59C2×C22⋊C8×C43C2211yescharacteristic
60C2×C4×C8×C43C2211yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C22×C4×D43—21no—
65#13063317—22no—
66#13063317—22no—
67#13063299—22no—
68#13063299—22no—
69#13063299—41no—
70#13063299—41no—
71C4×D172—22no—
72C4×D172—22no—
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×C22⋊Dic43—21no—
83C2×C22⋊Dic43—21no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×C4×Dic43—21no—
92#13063259—22no—
93#13063259—41no—
94#13063257—22no—
95#13063257—41no—
96#13063247—22no—
97#13063247—22no—
98#13063247—22no—
99#13063247—22no—
100C43⋊#95—21no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C22×D4×C43D411yescharacteristic
110C23×C4×C43C2311yescharacteristic
111C23×C4×C43C2311yescharacteristic
112C22×C8×C43—22no—
113C22×C8×C43—22no—
114C22×C8×C43—22no—
115C22×C8×C43—22no—
116C22×C8×C43—41no—
117C22×C8×C43—41no—
118C22×C8×C43C2311yescharacteristic
119C22×C8×C43C2311yescharacteristic
120C22×C8×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C4×D4×C43—22no—
123C4×D4×C43—22no—
124C2×C4⋊C4×C43D411yescharacteristic
125C2×C22⋊C4×C43D411yescharacteristic
126C2×C22⋊C4×C43D411yescharacteristic
127C2×C42×C43C2311yescharacteristic
128C4⋊C8×C43D414yescomplemented
129C22⋊C8×C43—22no—
130C22⋊C8×C43—22no—
131C4×C8×C43—22no—
132C24×C43C2×D411yescharacteristic
133C24×C43C2×D411yescharacteristic
134C23×D43—21no—
135C2×D4×C43—22no—
136C2×D4×C43—22no—
137C2×D4×C43—22no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—42no—
156C2×C22⋊D43—42no—
157C2×C22⋊D43—42no—
158C2×C22⋊D43—42no—
159C2×C22⋊D43—81no—
160C2×C22⋊D43—81no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C2×D172—21no—
169C2×D172—21no—
170C2×D172—21no—
171C2×D172—21no—
172C2×D172—21no—
173C2×D172#4112yes—
174C2×C4×D43—42no—
175C2×C4×D43—81no—
176C2×C4×D43—81no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—44no—
187C2×C8×C43—44no—
188C2×C8×C43C2×D412yes—
189C2×C8×C43C2×D412yes—
190C2×C8×C43#4112yes—
191C4⋊C4×C43—22no—
192C22⋊C4×C43—22no—
193C22⋊C4×C43—22no—
194C42×C43C2×D412yes—
195C42×C43#4112yes—
196C22⋊Dic43—42no—
197C22⋊Dic43—42no—
198C22⋊Dic43—81no—
199C22⋊Dic43—81no—
200C22⋊Dic43—81no—
201C22⋊Dic43—81no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—42no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—21no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219Dic43⋊C4—42no—
220Dic43⋊C4—42no—
221C4×Dic43—81no—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43#13512yes—
235C23×C43#13512yes—
236C23×C43C22×D411yescharacteristic
237C22×D43—22no—
238C22×D43—41no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244D4×C43—28no—
245C2×C4×C43—21no—
246C2×C4×C43—21no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43#12112yes—
264C2×C4×C43#12112yes—
265C2×C4×C43C22×D411yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43H(5,𝔽2)11yescharacteristic
270C2×C4×C432−1+411yescharacteristic
271C22⋊D43—84no—
272C22⋊D43—84no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294D172—22no—
295D172—22no—
296D172—41no—
297D172—41no—
298C4×D43—84no—
299C8×C43—22no—
300C8×C43—22no—
301C8×C43—22no—
302C8×C43—41no—
303#25342—431nomaximal, Sylow
304C22×C43—22no—
305C22×C43—22no—
306C22×C43—22no—
307C22×C43—22no—
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—41no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43C2×#12111yescharacteristic
319C22×C43#54611yescharacteristic
320C22×C43#54711yescharacteristic
321C22×C43C2×#13511yescharacteristic
322C22×C43C2×#13511yescharacteristic
323C22×C43#57611yescharacteristic
324C22×C43#57711yescharacteristic
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—81no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C4×C43—22no—
333C4×C43—22no—
334C4×C43—41no—
335C4×C43—41no—
336C4×C43#52911yescharacteristic
337C4×C43#54211yescharacteristic
338C4×C43#54611yescharacteristic
339C4×C43#54811yescharacteristic
340Dic43—81no—
341Dic43—81no—
342Dic43—81no—
343Dic43—81no—
344Dic43—81no—
345Dic43—81no—
346Dic43—81no—
347C2×#478—431no—
348C2×C8×D4D4311yescharacteristic, complemented
349#2562—431no—
350#2535—431no—
351#2077—431no—
352#2076—431no—
353#2034—431no—
354#2033—431no—
355#1991—431no—
356#1949—431no—
357#1893—431no—
358#1893—431no—
359#1808—431no—
360#1807—431no—
361C4×#102—431no—
362C2×C43—42no—
363C2×C43—42no—
364C2×C43#242711yescharacteristic
365C2×C43#305011yescharacteristic
366C2×C43#306211yescharacteristic
367C2×C43#329611yescharacteristic
368C2×C43#329711yescharacteristic
369C2×C43#333711yescharacteristic
370C2×C43#333911yescharacteristic
371D43—82no—
372C23×C8C2×D4311yescharacteristic
373C23×C8C2×D4311yescharacteristic
374C2×#125—431no—
375C2×#121—431no—
376C2×#121—431no—
377C2×C4×D4—431no—
378C2×C4×D4C2×D4311yescharacteristic
379#478—864no—
380C8×D4—24no—
381C2×#107—431no—
382C2×#107—431no—
383C2×#106—431no—
384C2×#106—431no—
385C2×C4⋊C8C2×D4311yescharacteristic
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×C22⋊C8C2×D4311yescharacteristic
391C2×C22⋊C8C2×D4311yescharacteristic
392C2×C4×C8C2×D4311yescharacteristic
393#400—861no—
394#397—861no—
395#394—861no—
396#392—861no—
397#388—861no—
398#388—861no—
399#386—861no—
400#386—861no—
401#382—431no—
402#380—431no—
403#380—431no—
404#380—431no—
405#380—431no—
406#380—431no—
407#380—431no—
408C4×C4⋊C4—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417C43#2534211yescharacteristic, complemented, Sylow
418C22×D4—431no—
419C22×D4—861no—
420C22×D4—861no—
421C22×D4D17211yescharacteristic
422C23×C4—861no—
423C23×C4C22×D4311yescharacteristic
424C23×C4C22×D4311yescharacteristic
425C22×C8—22no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—41no—
430C22×C8—41no—
431C22×C8C22×D4311yescharacteristic
432C22×C8C22×D4311yescharacteristic
433C22×C8C22×D4311yescharacteristic
434C22×C8C22×D4311yescharacteristic
435#125—862no—
436#125—862no—
437#121—862no—
438#121—862no—
439#121—1721no—
440#121—1721no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—862no—
444C4×D4—862no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4D17211yescharacteristic
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4—861no—
458C2×C22⋊C4—861no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4D17211yescharacteristic
465C2×C22⋊C4D17211yescharacteristic
466C2×C42—861no—
467C2×C42C22×D4311yescharacteristic
468#107—862no—
469#107—1721no—
470#106—862no—
471#106—1721no—
472C4⋊C8C22⋊D4314yescomplemented
473#102—862no—
474#102—862no—
475#102—862no—
476#102—862no—
477C22⋊C8—22no—
478C22⋊C8—22no—
479C4×C8—22no—
480#95—861no—
481#95—861no—
482#95—861no—
483#95—861no—
484#95—861no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489C24—861no—
490C24C2×D17211yescharacteristic
491C24C2×D17211yescharacteristic
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—432no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—861no—
499C2×D4—861no—
500C2×D4—861no—
501C2×D4—3441no—
502C2×D4—3441no—
503C2×D4—1722no—
504C2×D4—1722no—
505C2×D4—1722no—
506C2×D4—1722no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—3441no—
527C22×C4—3441no—
528C22×C4—1722no—
529C22×C4C2×D17211yescharacteristic
530C22×C4C2×D17211yescharacteristic
531C22×C4C2×D17211yescharacteristic
532C22×C4C2×D17211yescharacteristic
533C22×C4C23×D4311yescharacteristic
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—44no—
544C2×C8—44no—
545C2×C8#1062190012yes—
546C2×C8C2×C22⋊D4312yes—
547C2×C8C2×C22⋊D4312yes—
548C4⋊C4—22no—
549C4⋊C4—861no—
550C4⋊C4—861no—
551C4⋊C4—861no—
552C4⋊C4—861no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—1722no—
564C4⋊C4—1722no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—3441no—
568C22⋊C4—3441no—
569C22⋊C4—3441no—
570C22⋊C4—3441no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C22⋊C4—1722no—
575C22⋊C4—1722no—
576C42—3441no—
577C42#1062189812yes—
578C42C2×C22⋊D4312yes—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—862no—
592C23—1721no—
593C23—1721no—
594C23—1721no—
595C23—1721no—
596C23—1721no—
597C23—1721no—
598C23#1306334712yes—
599C23#1306334712yes—
600C23C22×D17211yescharacteristic
601D4—28no—
602D4—862no—
603D4—862no—
604D4—3444no—
605D4—3444no—
606D4—1721no—
607D4—1721no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—3444no—
627C2×C4—1721no—
628C2×C4—1721no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4—1721no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4#1306329912yes—
649C2×C4#1306329912yes—
650C2×C4C22×C22⋊D4311yescharacteristic
651C2×C4#41×D4311yescharacteristic
652C2×C4C2×#1062190011yescharacteristic
653C2×C4C2×#1062189811yescharacteristic
654C2×C4#1306337011yescharacteristic
655C2×C4#1306337211yescharacteristic
656C8—22no—
657C8—22no—
658C8—22no—
659C8—41no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—3441no—
675C22—3441no—
676C22—3441no—
677C22—3441no—
678C22—1722no—
679C22—1722no—
680C22—1722no—
681C22C2×#1306329911yescharacteristic
682C22#1458354411yescharacteristic
683C22#1458355311yescharacteristic
684C22C2×#1306334711yescharacteristic
685C22C2×#1306334711yescharacteristic
686C22#1458370411yescharacteristic
687C22#1458371111yescharacteristic
688C4—22no—
689C4—22no—
690C4—41no—
691C4—41no—
692C4—3441no—
693C4—3441no—
694C4—3441no—
695C4—3441no—
696C4—3441no—
697C4—3441no—
698C4—3441no—
699C4#1458343111yescharacteristic
700C4#1458351411yescharacteristic
701C4#1458354311yescharacteristic
702C4#1458355611yescharacteristic
703C2—42no—
704C2—42no—
705C2—3442no—
706C2#1913816611yescharacteristic
707C2#1914417611yescharacteristic
708C2#1914427511yescharacteristic
709C2#1914643211yescharacteristic
710C2#1914644711yescharacteristic
711C2#1914697611yescharacteristic
712C2#1914699811yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C8×D4×C43C2
socleC23×C43C22×D4
prime radical#19139496C2
hypercenterC2×C8×D4D43
hypocenterC43#25342
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×C8×D4

Complements

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

NH ≅ G/Ntype
1. C2×#14583200C2semidirect
2. #19139761C2semidirect
4. #19136028C2semidirect
5. #19136023C2semidirect
6. #19135785C2semidirect
7. #19135778C2semidirect
8. #19135560C2semidirect
9. #19135365C2semidirect
10. #19135023C2semidirect
11. #19135023C2semidirect
12. #19134624C2semidirect
13. #19134620C2semidirect
14. C4×#13063247C2semidirect
15. C2×C8×D4×C43C2semidirect
128. C4⋊C8×C43D4semidirect
348. C2×C8×D4D43semidirect
417. C43#25342semidirect
472. C4⋊C8C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145832002
#191397612
#191394962
#191360282
#191360232
#191357852
#191357782
#191355602
#191353652
#191350232
#191346242
#191346202
C4×#130632472
C2×C8×D4×C432
#2534243