Finite Group Databasebeta

← C43×#19763 #24939780

Subgroups — C43×#19763 #24939780

Order 11008.

756 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3384C211yesmaximal, characteristic, complemented
2C43×#3295C211yesmaximal, characteristic, complemented
3D4×SD16×C43C211yesmaximal, characteristic, complemented
4D4×D8×C43C211yesmaximal, characteristic
5C43×#1715C211yesmaximal, characteristic, complemented
6C43×#1688C211yesmaximal, characteristic, complemented
7C43×#1677C211yesmaximal, characteristic, complemented
8C43×#1671C211yesmaximal, characteristic, complemented
9C43×#1665C211yesmaximal, characteristic, complemented
10C43×#1639C211yesmaximal, characteristic, complemented
11C43×#1629C211yesmaximal, characteristic, complemented
12C43×#1627C211yesmaximal, characteristic, complemented
13C43×#1622C211yesmaximal, characteristic, complemented
14C43×#1582C211yesmaximal, characteristic, complemented
15C43×#1580C211yesmaximal, characteristic, complemented
16C22×SD16×C43—21no—
17C22×D8×C43—21no—
18C43×#554C2211yescharacteristic, complemented
19D4×Q8×C43C2211yescharacteristic, complemented
20D42×C43C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#501—21no—
23C43×#498C2211yescharacteristic, complemented
24C43×#493C2211yescharacteristic
25C43×#492C2211yescharacteristic, complemented
26C43×#492C2211yescharacteristic, complemented
27C43×#486C2211yescharacteristic, complemented
28C43×#486C2211yescharacteristic, complemented
29C43×#481—21no—
30C43×#478—21no—
31C43×#476—21no—
32C43×#476C2211yescharacteristic
33C43×#476C2211yescharacteristic, complemented
34C43×#474C2211yescharacteristic, complemented
35C43×#466—21no—
36C43×#465—21no—
37C43×#465—21no—
38C43×#461C2211yescharacteristic
39C43×#460C2211yescharacteristic, complemented
40C43×#460C2211yescharacteristic, complemented
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#450—21no—
44C43×#450—21no—
45C43×#448—21no—
46C43×#447—21no—
47C43×#447—21no—
48C43×#446C2211yescharacteristic, complemented
49C43×#442—21no—
50C4×SD16×C43C2211yescharacteristic
51C4×D8×C43C2211yescharacteristic
52C8×D4×C43C2211yescharacteristic
53C8×D4×C43C2211yescharacteristic, complemented
54C8×D4×C43C2211yescharacteristic, complemented
55C2×#102×C43—21no—
56C43×#334C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#333C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic, complemented
62C43×Q8⋊C8C2211yescharacteristic, complemented
63C43×D4⋊C8C2211yescharacteristic
64C43×D4⋊C8C2211yescharacteristic, complemented
65C43×D4⋊C8C2211yescharacteristic, complemented
66C43×#322C2211yescharacteristic, complemented
67C22×Q8×C43—21no—
68C22×D4×C43—21no—
69C22×D4×C43—21no—
70C22×D4×C43—21no—
71C22×D4×C43—21no—
72C2×SD16×C43—21no—
73C2×SD16×C43—21no—
74C2×SD16×C43—21no—
75C2×SD16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43—41no—
78C2×SD16×C43—44no—
79C2×SD16×C43D411yescharacteristic
80C2×D8×C43—21no—
81C2×D8×C43—21no—
82C2×D8×C43—21no—
83C2×D8×C43—21no—
84C2×D8×C43—44no—
85C2×D8×C43D411yescharacteristic
86C22×C8×C43—21no—
87C22×C8×C43—21no—
88C22×C8×C43—21no—
89C4⋊Q8×C43—21no—
90C4⋊Q8×C43C2311yescharacteristic
91C4⋊Q8×C43C2311yescharacteristic
92#127×C43C2311yescharacteristic
93#127×C43C2311yescharacteristic
94#125×C43—21no—
95C22⋊Q8×C43—21no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—41no—
98C22⋊Q8×C43—41no—
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#120×C43—41no—
104#120×C43—41no—
105C4×Q8×C43C2311yescharacteristic
106C4×D4×C43—21no—
107C4×D4×C43—21no—
108C4×D4×C43C2311yescharacteristic
109C4×D4×C43C2311yescharacteristic
110C4×D4×C43C2311yescharacteristic
111C2×C4⋊C4×C43—21no—
112#107×C43—21no—
113#107×C43D411yescharacteristic
114#106×C43—21no—
115#106×C43—21no—
116#106×C43—21no—
117#106×C43—21no—
118#106×C43D411yescharacteristic
119C4⋊C8×C43—21no—
120C4⋊C8×C43C2311yescharacteristic
121C4⋊C8×C43C2311yescharacteristic
122C4⋊C8×C43C2311yescharacteristic
123C4⋊C8×C43C2311yescharacteristic
124#103×C43—21no—
125#103×C43D411yescharacteristic
126#102×C43—21no—
127#102×C43—21no—
128#102×C43—21no—
129#102×C43—21no—
130#102×C43—21no—
131#102×C43—21no—
132#102×C43—21no—
133#102×C43—21no—
134#102×C43—21no—
135#102×C43—41no—
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138#102×C43D411yescharacteristic
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142#97×C43—21no—
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C24×C43—41no—
147C24×C43—41no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—41no—
151C2×Q8×C43—42no—
152C2×Q8×C43—81no—
153C2×Q8×C43C2×D411yescharacteristic
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—41no—
161C2×D4×C43—41no—
162C2×D4×C43—41no—
163C2×D4×C43—41no—
164C2×D4×C43—42no—
165C2×D4×C43—42no—
166C2×D4×C43—42no—
167C2×D4×C43—42no—
168C2×D4×C43—81no—
169C2×D4×C43—81no—
170C2×D4×C43—81no—
171C2×D4×C43—81no—
172C2×D4×C43C2×D411yescharacteristic
173C2×D4×C43C2×D411yescharacteristic
174C2×D4×C43C2×D411yescharacteristic
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43—41no—
179C22×C4×C43—41no—
180SD16×C43—22no—
181SD16×C43—42no—
182SD16×C43—42no—
183SD16×C43—42no—
184SD16×C43—81no—
185SD16×C43—81no—
186SD16×C43—82no—
187D8×C43—42no—
188D8×C43—42no—
189D8×C43—42no—
190D8×C43—81no—
191D8×C43SD1614yescomplemented
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—42no—
198C2×C8×C43—42no—
199C2×C8×C43—81no—
200C2×C8×C43C2×D411yescharacteristic
201C2×C8×C43C2×D411yescharacteristic
202C2×C8×C43C2×D411yescharacteristic
203C2×C8×C43C2×D411yescharacteristic
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—41no—
210C4⋊C4×C43—41no—
211C4⋊C4×C43—41no—
212C4⋊C4×C43C2×D411yescharacteristic
213C4⋊C4×C43C2×D411yescharacteristic
214C4⋊C4×C43C2×D411yescharacteristic
215C4⋊C4×C43C2×D411yescharacteristic
216C22⋊C4×C43—21no—
217C22⋊C4×C43—21no—
218C22⋊C4×C43—21no—
219C22⋊C4×C43—41no—
220C22⋊C4×C43—41no—
221C22⋊C4×C43—41no—
222C22⋊C4×C43—41no—
223C42×C43—21no—
224C42×C43C2411yescharacteristic
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—82no—
231C23×C43—82no—
232C23×C43—82no—
233C23×C43—82no—
234C23×C43—161no—
235C23×C43—161no—
236Q8×C43—21no—
237Q8×C43—21no—
238Q8×C43—41no—
239Q8×C43—41no—
240Q8×C43—81no—
241Q8×C43—82no—
242D4×C43—21no—
243D4×C43—21no—
244D4×C43—21no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—41no—
250D4×C43—41no—
251D4×C43—41no—
252D4×C43—41no—
253D4×C43—81no—
254D4×C43—81no—
255D4×C43—82no—
256D4×C43—82no—
257D4×C43—82no—
258D4×C43—82no—
259D4×C43C2×SD1612yes—
260D4×C43C2×SD1612yescomplemented
261D4×C43AGL(1,ℤ/8)12yes—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
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—82no—
276C2×C4×C43—161no—
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C8×C43—21no—
281C8×C43—21no—
282C8×C43—21no—
283C8×C43—41no—
284C8×C43—41no—
285C8×C43—41no—
286C8×C43—41no—
287C8×C43—41no—
288C8×C43C2×SD1612yescomplemented
289#19763C4311yesmaximal, characteristic, direct product factor, Sylow
290C22×C43—22no—
291C22×C43—22no—
292C22×C43—22no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—41no—
298C22×C43—41no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43—81no—
302C22×C43—81no—
303C22×C43—81no—
304C22×C43—81no—
305C22×C43—164no—
306C22×C43—164no—
307C22×C43D4211yescharacteristic
308C4×C43—21no—
309C4×C43—41no—
310C4×C43—41no—
311C4×C43—41no—
312C4×C43—41no—
313C4×C43—41no—
314C4×C43—81no—
315C4×C43—81no—
316C4×C43C22×SD1611yescharacteristic
317C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
318C4×C43#57611yescharacteristic
319C4×C43#57711yescharacteristic
320#3384C2×C4311yescharacteristic, complemented
321#3295C2×C4311yescharacteristic, complemented
322D4×SD16C2×C4311yescharacteristic, complemented
323D4×D8C2×C4311yescharacteristic
324#1715C2×C4311yescharacteristic, complemented
325#1688C2×C4311yescharacteristic, complemented
326#1677C2×C4311yescharacteristic, complemented
327#1671C2×C4311yescharacteristic, complemented
328#1665C2×C4311yescharacteristic, complemented
329#1639C2×C4311yescharacteristic, complemented
330#1629C2×C4311yescharacteristic, complemented
331#1627C2×C4311yescharacteristic, complemented
332#1622C2×C4311yescharacteristic, complemented
333#1582C2×C4311yescharacteristic, complemented
334#1580C2×C4311yescharacteristic, complemented
335C2×C43—42no—
336C2×C43—42no—
337C2×C43—42no—
338C2×C43—161no—
339C2×C43—161no—
340C2×C43#326411yescharacteristic
341C2×C43D4×SD1611yescharacteristic
342C2×C43#328811yescharacteristic
343C22×SD16—21no—
344C22×D8—21no—
345#554C22×C4311yescharacteristic, complemented
346D4×Q8C22×C4311yescharacteristic, complemented
347D42C22×C4311yescharacteristic
348D42C22×C4311yescharacteristic
349#501—21no—
350#498C22×C4311yescharacteristic, complemented
351#493C22×C4311yescharacteristic
352#492C22×C4311yescharacteristic, complemented
353#492C22×C4311yescharacteristic, complemented
354#486C22×C4311yescharacteristic, complemented
355#486C22×C4311yescharacteristic, complemented
356#481—21no—
357#478—21no—
358#476—21no—
359#476C22×C4311yescharacteristic
360#476C22×C4311yescharacteristic, complemented
361#474C22×C4311yescharacteristic, complemented
362#466—21no—
363#465—21no—
364#465—21no—
365#461C22×C4311yescharacteristic
366#460C22×C4311yescharacteristic, complemented
367#460C22×C4311yescharacteristic, complemented
368#459C22×C4311yescharacteristic
369#459C22×C4311yescharacteristic
370#450—21no—
371#450—21no—
372#448—21no—
373#447—21no—
374#447—21no—
375#446C22×C4311yescharacteristic, complemented
376#442—21no—
377C4×SD16C22×C4311yescharacteristic
378C4×D8C22×C4311yescharacteristic
379C8×D4C22×C4311yescharacteristic
380C8×D4C22×C4311yescharacteristic, complemented
381C8×D4C22×C4311yescharacteristic, complemented
382C2×#102—21no—
383#334C22×C4311yescharacteristic, complemented
384#334C22×C4311yescharacteristic, complemented
385#333C22×C4311yescharacteristic, complemented
386#332C22×C4311yescharacteristic, complemented
387#331C22×C4311yescharacteristic, complemented
388#331C22×C4311yescharacteristic, complemented
389Q8⋊C8C22×C4311yescharacteristic, complemented
390D4⋊C8C22×C4311yescharacteristic
391D4⋊C8C22×C4311yescharacteristic, complemented
392D4⋊C8C22×C4311yescharacteristic, complemented
393#322C22×C4311yescharacteristic, complemented
394C43#1976311yescharacteristic, direct product factor, Sylow
395C22×Q8—21no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—41no—
406C2×SD16—44no—
407C2×SD16D4×C4311yescharacteristic
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—44no—
413C2×D8D4×C4311yescharacteristic
414C22×C8—21no—
415C22×C8—21no—
416C22×C8—21no—
417C4⋊Q8—21no—
418C4⋊Q8C23×C4311yescharacteristic
419C4⋊Q8C23×C4311yescharacteristic
420#127C23×C4311yescharacteristic
421#127C23×C4311yescharacteristic
422#125—21no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425C22⋊Q8—41no—
426C22⋊Q8—41no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#120—41no—
432#120—41no—
433C4×Q8C23×C4311yescharacteristic
434C4×D4—21no—
435C4×D4—21no—
436C4×D4C23×C4311yescharacteristic
437C4×D4C23×C4311yescharacteristic
438C4×D4C23×C4311yescharacteristic
439C2×C4⋊C4—21no—
440#107—21no—
441#107D4×C4311yescharacteristic
442#106—21no—
443#106—21no—
444#106—21no—
445#106—21no—
446#106D4×C4311yescharacteristic
447C4⋊C8—21no—
448C4⋊C8C23×C4311yescharacteristic
449C4⋊C8C23×C4311yescharacteristic
450C4⋊C8C23×C4311yescharacteristic
451C4⋊C8C23×C4311yescharacteristic
452#103—21no—
453#103D4×C4311yescharacteristic
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—41no—
464#102D4×C4311yescharacteristic
465#102D4×C4311yescharacteristic
466#102D4×C4311yescharacteristic
467C22⋊C8—21no—
468C22⋊C8—21no—
469C22⋊C8—21no—
470#97—21no—
471C4×C8C23×C4311yescharacteristic
472C4×C8C23×C4311yescharacteristic
473C4×C8C23×C4311yescharacteristic
474C24—41no—
475C24—41no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8C2×D4×C4311yescharacteristic
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×D4×C4311yescharacteristic
501C2×D4C2×D4×C4311yescharacteristic
502C2×D4C2×D4×C4311yescharacteristic
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—41no—
507C22×C4—41no—
508SD16—22no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—81no—
513SD16—81no—
514SD16—82no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8SD16×C4314yescomplemented
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—42no—
526C2×C8—42no—
527C2×C8—81no—
528C2×C8C2×D4×C4311yescharacteristic
529C2×C8C2×D4×C4311yescharacteristic
530C2×C8C2×D4×C4311yescharacteristic
531C2×C8C2×D4×C4311yescharacteristic
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—41no—
539C4⋊C4—41no—
540C4⋊C4C2×D4×C4311yescharacteristic
541C4⋊C4C2×D4×C4311yescharacteristic
542C4⋊C4C2×D4×C4311yescharacteristic
543C4⋊C4C2×D4×C4311yescharacteristic
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C42—21no—
552C42C24×C4311yescharacteristic
553C23—21no—
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—82no—
559C23—82no—
560C23—82no—
561C23—82no—
562C23—161no—
563C23—161no—
564Q8—21no—
565Q8—21no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569Q8—82no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—81no—
582D4—81no—
583D4—82no—
584D4—82no—
585D4—82no—
586D4—82no—
587D4C2×SD16×C4312yes—
588D4C2×SD16×C4312yescomplemented
589D4AGL(1,ℤ/8)×C4312yes—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—82no—
604C2×C4—161no—
605C2×C4C22×D4×C4311yescharacteristic
606C2×C4C22×D4×C4311yescharacteristic
607C2×C4H(5,𝔽2)×C4311yescharacteristic
608C8—21no—
609C8—21no—
610C8—21no—
611C8—41no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8C2×SD16×C4312yescomplemented
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—164no—
633C22—164no—
634C22D42×C4311yescharacteristic
635C4—21no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—81no—
642C4—81no—
643C4C22×SD16×C4311yescharacteristic
644C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
645C4C43×#57611yescharacteristic
646C4C43×#57711yescharacteristic
647C2—42no—
648C2—42no—
649C2—42no—
650C2—161no—
651C2—161no—
652C2C43×#326411yescharacteristic
653C2D4×SD16×C4311yescharacteristic
654C2C43×#328811yescharacteristic
subgroupG/H
center, socleC22×C43D42
commutator, Frattini, cosocleC42C24×C43
prime radicalD4×D8×C43C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ C42×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3384C2semidirect
2. C43×#3295C2semidirect
3. D4×SD16×C43C2semidirect
5. C43×#1715C2semidirect
6. C43×#1688C2semidirect
7. C43×#1677C2semidirect
8. C43×#1671C2semidirect
9. C43×#1665C2semidirect
10. C43×#1639C2semidirect
11. C43×#1629C2semidirect
12. C43×#1627C2semidirect
13. C43×#1622C2semidirect
14. C43×#1582C2semidirect
15. C43×#1580C2semidirect
18. C43×#554C22semidirect
19. D4×Q8×C43C22semidirect
23. C43×#498C22semidirect
25. C43×#492C22semidirect
26. C43×#492C22semidirect
27. C43×#486C22semidirect
28. C43×#486C22semidirect
33. C43×#476C22semidirect
34. C43×#474C22semidirect
39. C43×#460C22semidirect
40. C43×#460C22semidirect
48. C43×#446C22semidirect
53. C8×D4×C43C22semidirect
54. C8×D4×C43C22semidirect
56. C43×#334C22semidirect
57. C43×#334C22semidirect
58. C43×#333C22semidirect
59. C43×#332C22semidirect
60. C43×#331C22semidirect
61. C43×#331C22semidirect
62. C43×Q8⋊C8C22semidirect
64. C43×D4⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
191. D8×C43SD16semidirect
260. D4×C43C2×SD16semidirect
288. C8×C43C2×SD16semidirect
289. #19763C43direct (N × H)
320. #3384C2×C43semidirect
321. #3295C2×C43semidirect
322. D4×SD16C2×C43semidirect
324. #1715C2×C43semidirect
325. #1688C2×C43semidirect
326. #1677C2×C43semidirect
327. #1671C2×C43semidirect
328. #1665C2×C43semidirect
329. #1639C2×C43semidirect
330. #1629C2×C43semidirect
331. #1627C2×C43semidirect
332. #1622C2×C43semidirect
333. #1582C2×C43semidirect
334. #1580C2×C43semidirect
345. #554C22×C43semidirect
346. D4×Q8C22×C43semidirect
350. #498C22×C43semidirect
352. #492C22×C43semidirect
353. #492C22×C43semidirect
354. #486C22×C43semidirect
355. #486C22×C43semidirect
360. #476C22×C43semidirect
361. #474C22×C43semidirect
366. #460C22×C43semidirect
367. #460C22×C43semidirect
375. #446C22×C43semidirect
380. C8×D4C22×C43semidirect
381. C8×D4C22×C43semidirect
383. #334C22×C43semidirect
384. #334C22×C43semidirect
385. #333C22×C43semidirect
386. #332C22×C43semidirect
387. #331C22×C43semidirect
388. #331C22×C43semidirect
389. Q8⋊C8C22×C43semidirect
391. D4⋊C8C22×C43semidirect
392. D4⋊C8C22×C43semidirect
393. #322C22×C43semidirect
394. C43#19763direct (N × H)
519. D8SD16×C43semidirect
588. D4C2×SD16×C43semidirect
616. C8C2×SD16×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#33842
C43×#32952
D4×SD16×C432
D4×D8×C432
C43×#17152
C43×#16882
C43×#16772
C43×#16712
C43×#16652
C43×#16392
C43×#16292
C43×#16272
C43×#16222
C43×#15822
C43×#15802
#1976343