Finite Group Databasebeta

← #25146756

Subgroups — #25146756

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×#14583199C211yesmaximal, characteristic, complemented
2C2×D4×C43⋊C8C211yesmaximal, characteristic, complemented
3#19139761C211yesmaximal, characteristic, complemented
4#19136032C211yesmaximal, characteristic, complemented
5#19136026C211yesmaximal, characteristic, complemented
6#19135781C211yesmaximal, characteristic, complemented
7#19135774C211yesmaximal, characteristic, complemented
8#19135559C211yesmaximal, characteristic, complemented
9#19135361C211yesmaximal, characteristic, complemented
10#19135024C211yesmaximal, characteristic, complemented
11#19135024C211yesmaximal, characteristic, complemented
12#19134622C211yesmaximal, characteristic, complemented
13#19134618C211yesmaximal, characteristic, complemented
14C4×#13063246C211yesmaximal, characteristic, complemented
15C43×#2535C211yesmaximal, characteristic
16C23×C43⋊C8C2211yescharacteristic
17C23×C43⋊C8C2211yescharacteristic
18C2×#13063317C2211yescharacteristic
19#14583199—24no—
20D4×C43⋊C8—24no—
21C2×#13063258C2211yescharacteristic
22C2×#13063258C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063256C2211yescharacteristic
25C2×C4⋊(C43⋊C8)C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×#13063246C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32C2×C4×C43⋊C8C2211yescharacteristic
33#14582837—21no—
34#14582813—21no—
35#14582793—21no—
36#14582793—21no—
37#14582759C2211yescharacteristic
38#14582759C2211yescharacteristic
39#14582759C2211yescharacteristic
40#14582759C2211yescharacteristic
41C4×C4⋊Dic43C2211yescharacteristic
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50C2×#121×C43C2211yescharacteristic
51C2×#121×C43C2211yescharacteristic
52C2×C4×D4×C43C2211yescharacteristic
53C2×C4×D4×C43C2211yescharacteristic
54C43×#397—21no—
55C43×#392—21no—
56C43×#386—21no—
57C43×#386—21no—
58C43×#382C2211yescharacteristic
59C43×#380C2211yescharacteristic
60C43×#380C2211yescharacteristic
61C22×C43⋊C8—22no—
62C22×C43⋊C8—22no—
63C22×C43⋊C8—22no—
64C22×C43⋊C8—22no—
65C22×C43⋊C8—41no—
66C22×C43⋊C8—41no—
67C22×C43⋊C8C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063317—22no—
72#13063317—22no—
73C2×C4⋊Dic43C2311yescharacteristic
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×Dic43⋊C4—21no—
78C2×Dic43⋊C4—21no—
79C2×C22⋊Dic43—21no—
80C2×C22⋊Dic43—21no—
81C2×C22⋊Dic43—21no—
82C2×C22⋊Dic43—21no—
83C2×C4×Dic43—21no—
84#13063258—22no—
85#13063258—41no—
86#13063256—22no—
87#13063256—41no—
88C4⋊(C43⋊C8)D414yescomplemented
89#13063246—22no—
90#13063246—22no—
91#13063246—22no—
92#13063246—22no—
93C22⋊(C43⋊C8)—22no—
94C22⋊(C43⋊C8)—22no—
95C4×C43⋊C8—22no—
96C43⋊#95—21no—
97C43⋊#95—21no—
98C43⋊#95—21no—
99C43⋊#95—21no—
100C43⋊#95—21no—
101C22×D4×C43—21no—
102C22×D4×C43—21no—
103C22×D4×C43D411yescharacteristic
104C22×D4×C43C2311yescharacteristic
105C23×C4×C43—21no—
106C23×C4×C43C2311yescharacteristic
107C23×C4×C43C2311yescharacteristic
108#121×C43—22no—
109#121×C43—22no—
110#121×C43—41no—
111#121×C43—41no—
112C4×D4×C43—22no—
113C4×D4×C43—22no—
114C4×D4×C43—22no—
115C4×D4×C43—22no—
116C2×C4⋊C4×C43D411yescharacteristic
117C2×C4⋊C4×C43C2311yescharacteristic
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C22⋊C4×C43—21no—
121C2×C22⋊C4×C43—21no—
122C2×C22⋊C4×C43—21no—
123C2×C22⋊C4×C43—21no—
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43D411yescharacteristic
126C2×C22⋊C4×C43D411yescharacteristic
127C2×C42×C43C2311yescharacteristic
128#95×C43—21no—
129#95×C43—21no—
130#95×C43—21no—
131#95×C43—21no—
132C24×C43—21no—
133C24×C43C2×D411yescharacteristic
134C24×C43C2×D411yescharacteristic
135C2×D4×C43—22no—
136C2×D4×C43—21no—
137C2×D4×C43—22no—
138C2×D4×C43—22no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—42no—
144C2×D4×C43—42no—
145C2×D4×C43—42no—
146C2×D4×C43—42no—
147C2×D4×C43—81no—
148C2×D4×C43—81no—
149C2×D4×C43#4112yes—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—21no—
161C22×C4×C43—21no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—42no—
166C22×C4×C43—81no—
167C22×C4×C43—81no—
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2411yescharacteristic
173C22×Dic43—21no—
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—21no—
177C4⋊C4×C43—22no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C22⋊C4×C43—22no—
185C22⋊C4×C43—22no—
186C22⋊C4×C43—42no—
187C22⋊C4×C43—42no—
188C22⋊C4×C43—42no—
189C22⋊C4×C43—81no—
190C22⋊C4×C43—81no—
191C42×C43C2×D412yes—
192C42×C43#4112yes—
193C22⋊Dic43—42no—
194C22⋊Dic43—42no—
195C22⋊Dic43—81no—
196C22⋊Dic43—81no—
197C4⋊Dic43—21no—
198C4⋊Dic43—21no—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205Dic43⋊C4—42no—
206Dic43⋊C4—42no—
207C4×Dic43—81no—
208C2×C43⋊C8—21no—
209C2×C43⋊C8—21no—
210C2×C43⋊C8—21no—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—44no—
218C2×C43⋊C8—44no—
219C2×C43⋊C8C2×D412yes—
220C2×C43⋊C8C2×D412yes—
221C2×C43⋊C8#4112yes—
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—22no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43—41no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43#13512yes—
242C23×C43#13512yes—
243C23×C43C22×D411yescharacteristic
244D4×C43—28no—
245D4×C43—22no—
246D4×C43—22no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—84no—
250D4×C43—84no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—84no—
279C2×C4×C43#12112yes—
280C2×C4×C43#12112yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C432−1+411yescharacteristic
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C43⋊C8—22no—
300C43⋊C8—22no—
301C43⋊C8—22no—
302C43⋊C8—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×C43—42no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43—81no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43C2×#12111yescharacteristic
326C22×C43#54611yescharacteristic
327C22×C43#54711yescharacteristic
328C22×C43C2×#13511yescharacteristic
329C22×C43C2×#13511yescharacteristic
330C22×C43#57611yescharacteristic
331C22×C43#57711yescharacteristic
332C4×C43—22no—
333C4×C43—22no—
334C4×C43—41no—
335C4×C43—41no—
336C4×C43—81no—
337C4×C43—81no—
338C4×C43—81no—
339C4×C43#52911yescharacteristic
340C4×C43#54211yescharacteristic
341C4×C43#54611yescharacteristic
342C4×C43#54811yescharacteristic
343Dic43—81no—
344Dic43—81no—
345Dic43—81no—
346Dic43—81no—
347C2×#478—431no—
348C2×C8×D4—431no—
349#2562—431no—
350#2535D4311yescharacteristic
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—82no—
365C2×C43#242711yescharacteristic
366C2×C43#305011yescharacteristic
367C2×C43#306211yescharacteristic
368C2×C43#329611yescharacteristic
369C2×C43#329711yescharacteristic
370C2×C43#333711yescharacteristic
371C2×C43#333911yescharacteristic
372C23×C8—431no—
373C23×C8—431no—
374C2×#125—431no—
375C2×#121C2×D4311yescharacteristic
376C2×#121C2×D4311yescharacteristic
377C2×C4×D4C2×D4311yescharacteristic
378C2×C4×D4C2×D4311yescharacteristic
379#478—864no—
380C8×D4—864no—
381C2×#107—431no—
382C2×#107—431no—
383C2×#106—431no—
384C2×#106—431no—
385C2×C4⋊C8—431no—
386C2×#102—431no—
387C2×#102—431no—
388C2×#102—431no—
389C2×#102—431no—
390C2×C22⋊C8—431no—
391C2×C22⋊C8—431no—
392C2×C4×C8—431no—
393#400—861no—
394#397—21no—
395#394—861no—
396#392—21no—
397#388—861no—
398#388—861no—
399#386—21no—
400#386—21no—
401#382C2×D4311yescharacteristic
402#380—431no—
403#380—431no—
404#380—431no—
405#380—431no—
406#380C2×D4311yescharacteristic
407#380C2×D4311yescharacteristic
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—21no—
419C22×D4—21no—
420C22×D4C22⋊D4311yescharacteristic
421C22×D4C22×D4311yescharacteristic
422C23×C4—21no—
423C23×C4C22×D4311yescharacteristic
424C23×C4C22×D4311yescharacteristic
425C22×C8—431no—
426C22×C8—431no—
427C22×C8—431no—
428C22×C8—431no—
429C22×C8—862no—
430C22×C8—862no—
431C22×C8—862no—
432C22×C8—862no—
433C22×C8—1721no—
434C22×C8—1721no—
435#125—862no—
436#125—862no—
437#121—22no—
438#121—22no—
439#121—41no—
440#121—41no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—22no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—431no—
447C2×C4⋊C4—431no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—861no—
451C2×C4⋊C4C22⋊D4311yescharacteristic
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C4⋊C4C22×D4311yescharacteristic
454C2×C4⋊C4C22×D4311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4C22⋊D4311yescharacteristic
465C2×C22⋊C4C22⋊D4311yescharacteristic
466C2×C42—861no—
467C2×C42C22×D4311yescharacteristic
468#107—862no—
469#107—1721no—
470#106—862no—
471#106—1721no—
472C4⋊C8—434no—
473#102—862no—
474#102—862no—
475#102—862no—
476#102—862no—
477C22⋊C8—862no—
478C22⋊C8—862no—
479C4×C8—862no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—21no—
484#95—861no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489C24—21no—
490C24C2×C22⋊D4311yescharacteristic
491C24C2×C22⋊D4311yescharacteristic
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—81no—
505C2×D4—81no—
506C2×D4#1062190012yes—
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—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—42no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—861no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4C2×C22⋊D4311yescharacteristic
530C22×C4C2×C22⋊D4311yescharacteristic
531C22×C4C2×C22⋊D4311yescharacteristic
532C22×C4C2×C22⋊D4311yescharacteristic
533C22×C4C23×D4311yescharacteristic
534C2×C8—432no—
535C2×C8—432no—
536C2×C8—432no—
537C2×C8—861no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—1724no—
547C2×C8—1724no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
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—42no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—81no—
571C22⋊C4—81no—
572C22⋊C4—3441no—
573C22⋊C4—3441no—
574C22⋊C4—1722no—
575C22⋊C4—1722no—
576C42—3441no—
577C42D4×D4312yes—
578C42#1062190012yes—
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—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23#1306334512yes—
599C23#1306334512yes—
600C23C22×C22⋊D4311yescharacteristic
601D4—28no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—84no—
607D4—84no—
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—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—84no—
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#1306329712yes—
649C2×C4#1306329712yes—
650C2×C4C2×D4×D4311yescharacteristic
651C2×C4#41×D4311yescharacteristic
652C2×C4C2×#1062190011yescharacteristic
653C2×C4C2×#1062190011yescharacteristic
654C2×C4#1306337011yescharacteristic
655C2×C4#1306337211yescharacteristic
656C8—862no—
657C8—862no—
658C8—862no—
659C8—1721no—
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—42no—
675C22—42no—
676C22—42no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22C2×#1306329711yescharacteristic
682C22#1458354311yescharacteristic
683C22#1458354811yescharacteristic
684C22C2×#1306334511yescharacteristic
685C22C2×#1306334511yescharacteristic
686C22#1458370211yescharacteristic
687C22#1458371011yescharacteristic
688C4—22no—
689C4—22no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—81no—
694C4—81no—
695C4—3441no—
696C4—3441no—
697C4—3441no—
698C4—3441no—
699C4#1458343011yescharacteristic
700C4#1458351611yescharacteristic
701C4#1458354611yescharacteristic
702C4#1458355511yescharacteristic
703C2—42no—
704C2—42no—
705C2—82no—
706C2#1913817411yescharacteristic
707C2#1914417311yescharacteristic
708C2#1914427111yescharacteristic
709C2#1914643011yescharacteristic
710C2#1914644511yescharacteristic
711C2#1914696811yescharacteristic
712C2#1914699111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC43×#2535C2
socleC23×C43C22×D4
hypercenter#2535D43
hypocenterC43#25342
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2535

Complements

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

NH ≅ G/Ntype
1. C2×#14583199C2semidirect
2. C2×D4×C43⋊C8C2semidirect
3. #19139761C2semidirect
4. #19136032C2semidirect
5. #19136026C2semidirect
6. #19135781C2semidirect
7. #19135774C2semidirect
8. #19135559C2semidirect
9. #19135361C2semidirect
10. #19135024C2semidirect
11. #19135024C2semidirect
12. #19134622C2semidirect
13. #19134618C2semidirect
14. C4×#13063246C2semidirect
88. C4⋊(C43⋊C8)D4semidirect
417. C43#25342semidirect

Maximal subgroups

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

subgroupindex
C2×#145831992
C2×D4×C43⋊C82
#191397612
#191360322
#191360262
#191357812
#191357742
#191355592
#191353612
#191350242
#191346222
#191346182
C4×#130632462
C43×#25352
#2534243