Finite Group Databasebeta

← #25146931

Subgroups — #25146931

Order 11008.

916 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583199C211yesmaximal, characteristic, complemented
2C2×#14582972C211yesmaximal, characteristic, complemented
3#19139756C211yesmaximal, characteristic, complemented
4#19139508C211yesmaximal, characteristic
5#19136034C211yesmaximal, characteristic, complemented
6#19136022C211yesmaximal, characteristic, complemented
7#19135782C211yesmaximal, characteristic, complemented
8#19135782C211yesmaximal, characteristic, complemented
9#19135564C211yesmaximal, characteristic, complemented
10#19135358C211yesmaximal, characteristic, complemented
11#19135030C211yesmaximal, characteristic, complemented
12#19135020C211yesmaximal, characteristic, complemented
13#19134627C211yesmaximal, characteristic, complemented
14#19134619C211yesmaximal, characteristic, complemented
15C43×#1762C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18C2×#13063317C2211yescharacteristic
19C2×#13063299—21no—
20C2×#13063296C2211yescharacteristic
21C2×#13063296C2211yescharacteristic
22C2×C4×D172C2211yescharacteristic
23#14583199—24no—
24#14582972—24no—
25C2×#13063258C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×C4⋊(C43⋊C8)C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×(C2×D43)⋊C8C2211yescharacteristic
33C2×(C2×D43)⋊C8C2211yescharacteristic
34#14582839—21no—
35#14582817—21no—
36#14582815—21no—
37#14582815—21no—
38#14582790—21no—
39#14582790—21no—
40#14582769C2211yescharacteristic
41#14582759—21no—
42#14582756C2211yescharacteristic
43#14582756C2211yescharacteristic
44#14582756C2211yescharacteristic
45#14582756C2211yescharacteristic
46#14582756C2211yescharacteristic
47#14582756C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582662C2211yescharacteristic
51#14582662C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54C2×C4×D4×C43C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×#97×C43C2211yescharacteristic
58C4×C4⋊C4×C43C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C22×D172D411yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C22×C4×D43C2311yescharacteristic
65C22×C4×D43C2311yescharacteristic
66C2×#10621872—22no—
67C2×#10621872—22no—
68C2×#10621872—41no—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C2×C8×D43—22no—
72C2×C8×D43—22no—
73C2×C8×D43—41no—
74#13063317—22no—
75#13063317—22no—
76#13063299—44no—
77#13063296—22no—
78#13063296—22no—
79#13063296—41no—
80#13063296—41no—
81C4×D172—22no—
82C4×D172—22no—
83C2×C4⋊Dic43—21no—
84C2×C4⋊Dic43—21no—
85C2×C4⋊Dic43D411yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×C4⋊Dic43C2311yescharacteristic
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×C22⋊Dic43—21no—
93C2×C22⋊Dic43—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×(C2×D43)⋊C4—21no—
97C2×(C2×D43)⋊C4—21no—
98C2×(C2×D43)⋊C4—21no—
99C2×(C2×D43)⋊C4—21no—
100C2×(C2×D43)⋊C4D411yescharacteristic
101C2×(C2×D43)⋊C4D411yescharacteristic
102#13063258—22no—
103#13063256—22no—
104#13063256—41no—
105#13063256—41no—
106C4⋊(C43⋊C8)D414yescomplemented
107#13063246—22no—
108#13063246—22no—
109(C2×D43)⋊C8—22no—
110(C2×D43)⋊C8—22no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C22×D4×C43C2311yescharacteristic
118C23×C4×C43—21no—
119C22×C8×C43C2311yescharacteristic
120C22×C8×C43C2311yescharacteristic
121C4×D4×C43—22no—
122C4×D4×C43—22no—
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C22⋊C4×C43—21no—
127C2×C42×C43—21no—
128C2×C42×C43C2311yescharacteristic
129#102×C43—22no—
130#102×C43—22no—
131#97×C43—22no—
132#95×C43—21no—
133C24×C43—21no—
134C23×D43C2×D411yescharacteristic
135C23×D43C2×D411yescharacteristic
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43#4112yes—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—42no—
146C22×C4×C43—42no—
147C22×C4×C43—42no—
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2411yescharacteristic
151C2×C22⋊D43—42no—
152C2×C22⋊D43—42no—
153C2×C22⋊D43—42no—
154C2×C22⋊D43—42no—
155C2×C22⋊D43—81no—
156C2×C22⋊D43—81no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43C2×D411yescharacteristic
162C22×Dic43C2×D411yescharacteristic
163C2×D172—22no—
164C2×D172—22no—
165C2×D172—41no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—21no—
171C2×C4×D43—21no—
172C2×C4×D43—21no—
173C2×C4×D43—21no—
174C2×C4×D43—21no—
175C2×C4×D43—21no—
176C2×C4×D43—21no—
177C2×C4×D43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43#4112yes—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C22⋊C4×C43—42no—
191C42×C43—81no—
192C42×C43C2×D412yes—
193C42×C43#4112yes—
194C22⋊Dic43—42no—
195C22⋊Dic43—42no—
196(C2×D43)⋊C4—22no—
197(C2×D43)⋊C4—22no—
198(C2×D43)⋊C4—42no—
199(C2×D43)⋊C4—42no—
200(C2×D43)⋊C4—42no—
201(C2×D43)⋊C4—42no—
202(C2×D43)⋊C4—81no—
203(C2×D43)⋊C4—81no—
204C4⋊Dic43—22no—
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—42no—
214C4⋊Dic43—81no—
215Dic43⋊C4—42no—
216Dic43⋊C4—42no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8C2×D412yes—
222C2×C43⋊C8C2×D412yes—
223#10621872—44no—
224C8×D43—44no—
225C23×C43—22no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43C22×D411yescharacteristic
233C22×D43—21no—
234C22×D43—21no—
235C22×D43—21no—
236C22×D43—21no—
237C22×D43—21no—
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43—21no—
244C22×D43—21no—
245C22×D43—21no—
246C22×D43AGL(1,ℤ/8)12yes—
247D4×C43—22no—
248D4×C43—22no—
249D4×C43—41no—
250D4×C43—41no—
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—41no—
264C2×C4×C43—84no—
265C2×C4×C43#12112yes—
266C2×C4×C43#12112yes—
267C2×C4×C43C22×D411yescharacteristic
268C2×C4×C43C2×#4111yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C432−1+411yescharacteristic
273C22⋊D43—84no—
274C22⋊D43—84no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
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—
293D172—44no—
294C4×D43—41no—
295C4×D43—41no—
296C4×D43—41no—
297C4×D43—41no—
298C4×D43—41no—
299C4×D43—41no—
300C4×D43—41no—
301C4×D43—41no—
302C8×C43—22no—
303C8×C43—41no—
304C43⋊C8—22no—
305C43⋊C8—22no—
306#25355—431nomaximal, Sylow
307C22×C43—42no—
308C22×C43—42no—
309C22×C43—42no—
310C22×C43—81no—
311C22×C43—81no—
312C22×C43—81no—
313C22×C43—81no—
314C22×C43C2×#12111yescharacteristic
315C22×C43#54611yescharacteristic
316C22×C43#54711yescharacteristic
317C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C43#57511yescharacteristic
319C22×C43#57711yescharacteristic
320C22×C43#57711yescharacteristic
321C2×D43—22no—
322C2×D43—22no—
323C2×D43—22no—
324C2×D43—41no—
325C2×D43—41no—
326C2×D43—41no—
327C2×D43—41no—
328C2×D43—41no—
329C2×D43—41no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C2×D43—41no—
334C2×D43—41no—
335C4×C43—22no—
336C4×C43—22no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43—81no—
340C4×C43#52911yescharacteristic
341C4×C43#54211yescharacteristic
342C4×C43#54611yescharacteristic
343C4×C43#54811yescharacteristic
344Dic43—41no—
345Dic43—41no—
346Dic43—81no—
347Dic43—81no—
348Dic43—81no—
349Dic43—81no—
350C2×#478—431no—
351C2×#435—431no—
352#2562—431no—
353#2537—431no—
354#2077—431no—
355#2075—431no—
356#2034—431no—
357#2034—431no—
358#1992—431no—
359#1948—431no—
360#1895—431no—
361#1893—431no—
362#1809—431no—
363#1807—431no—
364#1762D4311yescharacteristic, complemented
365C2×C43—82no—
366C2×C43#242711yescharacteristic
367C2×C43#305511yescharacteristic
368C2×C43#306011yescharacteristic
369C2×C43#330711yescharacteristic
370C2×C43#331011yescharacteristic
371C2×C43#334511yescharacteristic
372C2×C43#334811yescharacteristic
373D43—42no—
374D43—81no—
375C22×M16—431no—
376C23×C8—431no—
377C2×#125—431no—
378C2×#121—431no—
379C2×#121—431no—
380C2×#121—861no—
381C2×C4×D4—431no—
382C2×C4×D4C2×D4311yescharacteristic
383#478—864no—
384#435—864no—
385C2×#107—431no—
386C2×#106—431no—
387C2×#106—431no—
388C2×#106—431no—
389C2×C4⋊C8—431no—
390C2×#102—431no—
391C2×#102—431no—
392C2×#102C2×D4311yescharacteristic
393C2×#102C2×D4311yescharacteristic
394C2×C22⋊C8—431no—
395C2×C22⋊C8—431no—
396C2×#97C2×D4311yescharacteristic
397#400—861no—
398#394—861no—
399#394—861no—
400#394—861no—
401#388—861no—
402#388—861no—
403#384—431no—
404#380—431no—
405#380—431no—
406#380—431no—
407#380—431no—
408#380—431no—
409#380—431no—
410#380—861no—
411C4×C4⋊C4C2×D4311yescharacteristic
412#340—431no—
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340—431no—
418#340C2×D4311yescharacteristic
419#340C2×D4311yescharacteristic
420C43#2535511yescharacteristic, complemented, Sylow
421C22×D4—431no—
422C22×D4—861no—
423C22×D4—861no—
424C22×D4C22×D4311yescharacteristic
425C23×C4—21no—
426C23×C4—431no—
427C23×C4—431no—
428C2×M16—862no—
429C2×M16—862no—
430C2×M16—1721no—
431C22×C8—431no—
432C22×C8—431no—
433C22×C8—862no—
434C22×C8—862no—
435C22×C8—1721no—
436C22×C8C22×D4311yescharacteristic
437C22×C8C22×D4311yescharacteristic
438#125—862no—
439#125—862no—
440#121—862no—
441#121—862no—
442#121—1721no—
443#121—1721no—
444#121—1724no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—862no—
448C4×D4—862no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—431no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4—861no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4C22×D4311yescharacteristic
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—431no—
463C2×C22⋊C4—431no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4—861no—
471C2×C22⋊C4—861no—
472C2×C42—21no—
473C2×C42C22×D4311yescharacteristic
474#107—862no—
475#106—862no—
476#106—1721no—
477#106—1721no—
478C4⋊C8—434no—
479#102—22no—
480#102—22no—
481#102—862no—
482#102—862no—
483C22⋊C8—862no—
484C22⋊C8—862no—
485#97—22no—
486#95—21no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493C24—21no—
494C24—431no—
495C24—431no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—862no—
502C2×D4—862no—
503C2×D4—3441no—
504C2×D4—3441no—
505C2×D4—1721no—
506C2×D4—1722no—
507C2×D4—1722no—
508C2×D4—1722no—
509C2×D4—1722no—
510C2×D4#1062189812yes—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—431no—
518C22×C4—431no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—861no—
530C22×C4—861no—
531C22×C4—861no—
532C22×C4—861no—
533C22×C4—861no—
534C22×C4—861no—
535C22×C4D4×D4311yescharacteristic
536C22×C4D4×D4311yescharacteristic
537C22×C4C23×D4311yescharacteristic
538M16—1724no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—432no—
545C2×C8—432no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—1724no—
551C2×C8#1062189812yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—862no—
559C4⋊C4—861no—
560C4⋊C4—861no—
561C4⋊C4—861no—
562C4⋊C4—861no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—3441no—
568C4⋊C4—1722no—
569C4⋊C4—1722no—
570C4⋊C4—1722no—
571C22⋊C4—42no—
572C22⋊C4—862no—
573C22⋊C4—862no—
574C22⋊C4—3441no—
575C22⋊C4—3441no—
576C22⋊C4—1722no—
577C22⋊C4—1722no—
578C22⋊C4—1722no—
579C22⋊C4—1722no—
580C22⋊C4—1722no—
581C22⋊C4—1722no—
582C42—81no—
583C42#1062189812yes—
584C42D4×D4312yes—
585C23—22no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—432no—
593C23—861no—
594C23—861no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23—861no—
602C23—861no—
603C23—861no—
604C23—861no—
605C23—861no—
606C23C2×D4×D4311yescharacteristic
607D4—22no—
608D4—22no—
609D4—41no—
610D4—41no—
611D4—3444no—
612D4—3444no—
613D4—1724no—
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—41no—
627C2×C4—84no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—861no—
633C2×C4—861no—
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—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4#1306329812yes—
655C2×C4#1306329812yes—
656C2×C4C2×D4×D4311yescharacteristic
657C2×C4C2×#1062189811yescharacteristic
658C2×C4C2×#1062189811yescharacteristic
659C2×C4C2×#1062189811yescharacteristic
660C2×C4#1306337111yescharacteristic
661C2×C4#1306337211yescharacteristic
662C8—22no—
663C8—41no—
664C8—862no—
665C8—862no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—862no—
674C22—862no—
675C22—862no—
676C22—1721no—
677C22—1721no—
678C22—1721no—
679C22—1721no—
680C22—1721no—
681C22—1721no—
682C22—1721no—
683C22—1721no—
684C22—1721no—
685C22—1721no—
686C22—1721no—
687C22C2×#1306329811yescharacteristic
688C22#1458354511yescharacteristic
689C22#1458355411yescharacteristic
690C22AGL(1,ℤ/8)×D4311yescharacteristic
691C22#1458369511yescharacteristic
692C22#1458370811yescharacteristic
693C22#1458370911yescharacteristic
694C4—22no—
695C4—22no—
696C4—81no—
697C4—81no—
698C4—81no—
699C4—3441no—
700C4—3441no—
701C4—3441no—
702C4—3441no—
703C4—1721no—
704C4—1721no—
705C4#1458343311yescharacteristic
706C4#1458352011yescharacteristic
707C4#1458354511yescharacteristic
708C4#1458355811yescharacteristic
709C2—82no—
710C2—3441no—
711C2—1722no—
712C2#1913817211yescharacteristic
713C2#1914421211yescharacteristic
714C2#1914425611yescharacteristic
715C2#1914657611yescharacteristic
716C2#1914662111yescharacteristic
717C2#1914707011yescharacteristic
718C2#1914711511yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1762C2
socleC23×C43C22×D4
prime radical#19139508C2
hypercenter#1762D43
hypocenterC43#25355
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
1. C2×#14583199C2semidirect
2. C2×#14582972C2semidirect
3. #19139756C2semidirect
5. #19136034C2semidirect
6. #19136022C2semidirect
7. #19135782C2semidirect
8. #19135782C2semidirect
9. #19135564C2semidirect
10. #19135358C2semidirect
11. #19135030C2semidirect
12. #19135020C2semidirect
13. #19134627C2semidirect
14. #19134619C2semidirect
15. C43×#1762C2semidirect
106. C4⋊(C43⋊C8)D4semidirect
364. #1762D43semidirect
420. C43#25355semidirect

Maximal subgroups

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

subgroupindex
C2×#145831992
C2×#145829722
#191397562
#191395082
#191360342
#191360222
#191357822
#191355642
#191353582
#191350302
#191350202
#191346272
#191346192
C43×#17622
#2535543