Finite Group Databasebeta

← C43×#19306 #24939323

Subgroups — C43×#19306 #24939323

Order 11008.

732 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3184C211yesmaximal, characteristic, complemented
2C43×#3109C211yesmaximal, characteristic, complemented
3C43×#3036C211yesmaximal, characteristic, complemented
4D4×M16×C43C211yesmaximal, characteristic, complemented
5C43×#1701C211yesmaximal, characteristic, complemented
6C43×#1697C211yesmaximal, characteristic, complemented
7C43×#1691C211yesmaximal, characteristic, complemented
8C43×#1687C211yesmaximal, characteristic, complemented
9C43×#1681C211yesmaximal, characteristic, complemented
10C43×#1677C211yesmaximal, characteristic, complemented
11C43×#1671C211yesmaximal, characteristic, complemented
12C43×#1667C211yesmaximal, characteristic, complemented
13C43×#1569C211yesmaximal, characteristic, complemented
14C43×#1560C211yesmaximal, characteristic, complemented
15C43×#1557C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C22×M16×C43—21no—
18C43×#532C2211yescharacteristic
19C43×#532C2211yescharacteristic
20C2×C4×D4×C43C2211yescharacteristic
21C43×#498C2211yescharacteristic, complemented
22C43×#493C2211yescharacteristic, complemented
23C43×#486C2211yescharacteristic, complemented
24C43×#486C2211yescharacteristic, complemented
25C43×#481—21no—
26C43×#476C2211yescharacteristic
27C43×#476C2211yescharacteristic
28C43×#469—21no—
29C43×#469—21no—
30C43×#463—21no—
31C43×#463—21no—
32C43×#461C2211yescharacteristic
33C43×#461C2211yescharacteristic
34C43×#459C2211yescharacteristic
35C43×#459C2211yescharacteristic
36C43×#459C2211yescharacteristic
37C43×#459C2211yescharacteristic
38C43×#447—21no—
39C43×#442—21no—
40C43×#442—21no—
41C43×#442—21no—
42C43×#442—21no—
43C43×#436C2211yescharacteristic
44C43×#436C2211yescharacteristic
45C43×#435—21no—
46C43×#435—21no—
47C8×D4×C43C2211yescharacteristic
48C8×D4×C43C2211yescharacteristic
49C43×#432C2211yescharacteristic
50C43×#423C2211yescharacteristic
51C43×#423C2211yescharacteristic
52C43×#417—21no—
53C43×#407—21no—
54C4×M16×C43C2211yescharacteristic
55C43×#335C2211yescharacteristic, complemented
56C43×#335C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#334C2211yescharacteristic, complemented
59C43×#333C2211yescharacteristic, complemented
60C43×#333C2211yescharacteristic, complemented
61C43×#332C2211yescharacteristic, complemented
62C43×#332C2211yescharacteristic, complemented
63C43×#331C2211yescharacteristic, complemented
64C43×#331C2211yescharacteristic, complemented
65C43×#331C2211yescharacteristic, complemented
66C43×#331C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C2×#41×C43—21no—
69C22×D4×C43D411yescharacteristic
70C23×C4×C43—21no—
71AGL(1,ℤ/8)×C43—44no—
72C2×SD16×C43—21no—
73C2×SD16×C43—21no—
74C2×D8×C43—21no—
75C2×D8×C43—21no—
76C2×D8×C43—21no—
77C2×D8×C43—21no—
78C2×D8×C43—21no—
79C2×D8×C43—21no—
80C2×M16×C43—21no—
81C2×M16×C43—21no—
82C2×M16×C43—21no—
83C2×M16×C43—21no—
84C2×M16×C43—44no—
85C2×M16×C43D411yescharacteristic
86C2×M16×C43D411yescharacteristic
87C22×C8×C43—21no—
88C22×C8×C43—21no—
89C4⋊Q8×C43C2311yescharacteristic
90C4⋊Q8×C43C2311yescharacteristic
91#127×C43C2311yescharacteristic
92#127×C43C2311yescharacteristic
93#124×C43—21no—
94#124×C43—21no—
95#121×C43—21no—
96#121×C43—21no—
97#121×C43—21no—
98#121×C43—21no—
99C4×D4×C43—21no—
100C4×D4×C43—21no—
101C4×D4×C43—21no—
102C4×D4×C43—21no—
103C4×D4×C43—21no—
104C4×D4×C43—21no—
105C4×D4×C43D411yescharacteristic
106C4×D4×C43D411yescharacteristic
107C4×D4×C43C2311yescharacteristic
108C4×D4×C43C2311yescharacteristic
109C2×C4⋊C4×C43D411yescharacteristic
110C2×C22⋊C4×C43—21no—
111C2×C42×C43C2311yescharacteristic
112#106×C43—21no—
113#106×C43—21no—
114#106×C43—21no—
115#106×C43—21no—
116C4⋊C8×C43—21no—
117C4⋊C8×C43—21no—
118C4⋊C8×C43C2311yescharacteristic
119C4⋊C8×C43C2311yescharacteristic
120C4⋊C8×C43C2311yescharacteristic
121C4⋊C8×C43C2311yescharacteristic
122C4⋊C8×C43C2311yescharacteristic
123C4⋊C8×C43C2311yescharacteristic
124#103×C43—21no—
125#103×C43—21no—
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—21no—
136C22⋊C8×C43—21no—
137C22⋊C8×C43—21no—
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141#97×C43—21no—
142#97×C43D411yescharacteristic
143#97×C43D411yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C24×C43—21no—
147#41×C43—42no—
148#41×C43—42no—
149#41×C43—82no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—22no—
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×C43C2×D411yescharacteristic
164C2×D4×C43C2×D411yescharacteristic
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—42no—
171C22×C4×C43—42no—
172C22×C4×C43—41no—
173C22×C4×C43—41no—
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43#4111yescharacteristic
177SD16×C43—42no—
178SD16×C43—42no—
179D8×C43—42no—
180D8×C43—42no—
181D8×C43—42no—
182D8×C43—42no—
183D8×C43—42no—
184D8×C43—42no—
185M16×C43—22no—
186M16×C43—41no—
187M16×C43—42no—
188M16×C43—42no—
189M16×C43—42no—
190M16×C43—42no—
191C2×C8×C43—21no—
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×C43C2×D411yescharacteristic
200C2×C8×C43C2×D411yescharacteristic
201C2×C8×C43C2×D411yescharacteristic
202C2×C8×C43C2×D411yescharacteristic
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43C2×D411yescharacteristic
209C4⋊C4×C43C2×D411yescharacteristic
210C22⋊C4×C43—21no—
211C22⋊C4×C43—21no—
212C22⋊C4×C43—21no—
213C22⋊C4×C43—21no—
214C22⋊C4×C43—41no—
215C22⋊C4×C43—41no—
216C22⋊C4×C43—41no—
217C22⋊C4×C43—41no—
218C42×C43C2×D411yescharacteristic
219C42×C43C2×D411yescharacteristic
220C42×C43#4111yescharacteristic
221C42×C43C2411yescharacteristic
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—42no—
225C23×C43—42no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—81no—
229C23×C43#12111yescharacteristic
230Q8×C43—41no—
231Q8×C43—41no—
232Q8×C43—81no—
233D4×C43—21no—
234D4×C43—21no—
235D4×C43—21no—
236D4×C43—42no—
237D4×C43—41no—
238D4×C43—41no—
239D4×C43—41no—
240D4×C43—41no—
241D4×C43—41no—
242D4×C43—41no—
243D4×C43—41no—
244D4×C43—41no—
245D4×C43—81no—
246D4×C43—81no—
247D4×C43—82no—
248D4×C43—82no—
249D4×C43AGL(1,ℤ/8)12yes—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—41no—
257C2×C4×C43—42no—
258C2×C4×C43—42no—
259C2×C4×C43—42no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—82no—
267C2×C4×C43—82no—
268C2×C4×C43#12111yescharacteristic
269C2×C4×C43#12111yescharacteristic
270C2×C4×C43#12111yescharacteristic
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C8×C43—21no—
275C8×C43—21no—
276C8×C43—21no—
277C8×C43—41no—
278C8×C43—41no—
279C8×C43—41no—
280C8×C43—41no—
281C8×C43—41no—
282C8×C43—41no—
283C8×C43AGL(1,ℤ/8)12yescomplemented
284#19306C4311yesmaximal, characteristic, direct product factor, Sylow
285C22×C43—21no—
286C22×C43—22no—
287C22×C43—21no—
288C22×C43—21no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—84no—
295C22×C43—81no—
296C22×C43—81no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43C2×#12111yescharacteristic
302C4×C43—21no—
303C4×C43—21no—
304C4×C43—21no—
305C4×C43—21no—
306C4×C43—41no—
307C4×C43—41no—
308C4×C43—81no—
309C4×C43—81no—
310C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
312C4×C43#57511yescharacteristic
313C4×C43#57511yescharacteristic
314#3184C2×C4311yescharacteristic, complemented
315#3109C2×C4311yescharacteristic, complemented
316#3036C2×C4311yescharacteristic, complemented
317D4×M16C2×C4311yescharacteristic, complemented
318#1701C2×C4311yescharacteristic, complemented
319#1697C2×C4311yescharacteristic, complemented
320#1691C2×C4311yescharacteristic, complemented
321#1687C2×C4311yescharacteristic, complemented
322#1681C2×C4311yescharacteristic, complemented
323#1677C2×C4311yescharacteristic, complemented
324#1671C2×C4311yescharacteristic, complemented
325#1667C2×C4311yescharacteristic, complemented
326#1569C2×C4311yescharacteristic, complemented
327#1560C2×C4311yescharacteristic, complemented
328#1557C2×C4311yescharacteristic, complemented
329C2×C43—41no—
330C2×C43—42no—
331C2×C43—81no—
332C2×C43—161no—
333C2×C43—161no—
334C2×C43#303611yescharacteristic
335C2×C43#305511yescharacteristic
336C2×C43#306811yescharacteristic
337C2×AGL(1,ℤ/8)—21no—
338C22×M16—21no—
339#532C22×C4311yescharacteristic
340#532C22×C4311yescharacteristic
341C2×C4×D4C22×C4311yescharacteristic
342#498C22×C4311yescharacteristic, complemented
343#493C22×C4311yescharacteristic, complemented
344#486C22×C4311yescharacteristic, complemented
345#486C22×C4311yescharacteristic, complemented
346#481—21no—
347#476C22×C4311yescharacteristic
348#476C22×C4311yescharacteristic
349#469—21no—
350#469—21no—
351#463—21no—
352#463—21no—
353#461C22×C4311yescharacteristic
354#461C22×C4311yescharacteristic
355#459C22×C4311yescharacteristic
356#459C22×C4311yescharacteristic
357#459C22×C4311yescharacteristic
358#459C22×C4311yescharacteristic
359#447—21no—
360#442—21no—
361#442—21no—
362#442—21no—
363#442—21no—
364#436C22×C4311yescharacteristic
365#436C22×C4311yescharacteristic
366#435—21no—
367#435—21no—
368C8×D4C22×C4311yescharacteristic
369C8×D4C22×C4311yescharacteristic
370#432C22×C4311yescharacteristic
371#423C22×C4311yescharacteristic
372#423C22×C4311yescharacteristic
373#417—21no—
374#407—21no—
375C4×M16C22×C4311yescharacteristic
376#335C22×C4311yescharacteristic, complemented
377#335C22×C4311yescharacteristic, complemented
378#334C22×C4311yescharacteristic, complemented
379#334C22×C4311yescharacteristic, complemented
380#333C22×C4311yescharacteristic, complemented
381#333C22×C4311yescharacteristic, complemented
382#332C22×C4311yescharacteristic, complemented
383#332C22×C4311yescharacteristic, complemented
384#331C22×C4311yescharacteristic, complemented
385#331C22×C4311yescharacteristic, complemented
386#331C22×C4311yescharacteristic, complemented
387#331C22×C4311yescharacteristic, complemented
388C43#1930611yescharacteristic, direct product factor, Sylow
389C2×#41—21no—
390C2×#41—21no—
391C22×D4D4×C4311yescharacteristic
392C23×C4—21no—
393AGL(1,ℤ/8)—44no—
394C2×SD16—21no—
395C2×SD16—21no—
396C2×D8—21no—
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×M16—21no—
403C2×M16—21no—
404C2×M16—21no—
405C2×M16—21no—
406C2×M16—44no—
407C2×M16D4×C4311yescharacteristic
408C2×M16D4×C4311yescharacteristic
409C22×C8—21no—
410C22×C8—21no—
411C4⋊Q8C23×C4311yescharacteristic
412C4⋊Q8C23×C4311yescharacteristic
413#127C23×C4311yescharacteristic
414#127C23×C4311yescharacteristic
415#124—21no—
416#124—21no—
417#121—21no—
418#121—21no—
419#121—21no—
420#121—21no—
421C4×D4—21no—
422C4×D4—21no—
423C4×D4—21no—
424C4×D4—21no—
425C4×D4—21no—
426C4×D4—21no—
427C4×D4D4×C4311yescharacteristic
428C4×D4D4×C4311yescharacteristic
429C4×D4C23×C4311yescharacteristic
430C4×D4C23×C4311yescharacteristic
431C2×C4⋊C4D4×C4311yescharacteristic
432C2×C22⋊C4—21no—
433C2×C42C23×C4311yescharacteristic
434#106—21no—
435#106—21no—
436#106—21no—
437#106—21no—
438C4⋊C8—21no—
439C4⋊C8—21no—
440C4⋊C8C23×C4311yescharacteristic
441C4⋊C8C23×C4311yescharacteristic
442C4⋊C8C23×C4311yescharacteristic
443C4⋊C8C23×C4311yescharacteristic
444C4⋊C8C23×C4311yescharacteristic
445C4⋊C8C23×C4311yescharacteristic
446#103—21no—
447#103—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462C22⋊C8—21no—
463#97—21no—
464#97D4×C4311yescharacteristic
465#97D4×C4311yescharacteristic
466C4×C8C23×C4311yescharacteristic
467C4×C8C23×C4311yescharacteristic
468C24—21no—
469#41—42no—
470#41—42no—
471#41—82no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×D4—22no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4C2×D4×C4311yescharacteristic
486C2×D4C2×D4×C4311yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4C2×D4×C4311yescharacteristic
497C22×C4C2×D4×C4311yescharacteristic
498C22×C4#41×C4311yescharacteristic
499SD16—42no—
500SD16—42no—
501D8—42no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—42no—
506D8—42no—
507M16—22no—
508M16—41no—
509M16—42no—
510M16—42no—
511M16—42no—
512M16—42no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—42no—
520C2×C8—42no—
521C2×C8C2×D4×C4311yescharacteristic
522C2×C8C2×D4×C4311yescharacteristic
523C2×C8C2×D4×C4311yescharacteristic
524C2×C8C2×D4×C4311yescharacteristic
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4C2×D4×C4311yescharacteristic
531C4⋊C4C2×D4×C4311yescharacteristic
532C22⋊C4—21no—
533C22⋊C4—21no—
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C42C2×D4×C4311yescharacteristic
541C42C2×D4×C4311yescharacteristic
542C42#41×C4311yescharacteristic
543C42C24×C4311yescharacteristic
544C23—21no—
545C23—21no—
546C23—42no—
547C23—42no—
548C23—41no—
549C23—41no—
550C23—81no—
551C23#121×C4311yescharacteristic
552Q8—41no—
553Q8—41no—
554Q8—81no—
555D4—21no—
556D4—21no—
557D4—21no—
558D4—42no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—81no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4AGL(1,ℤ/8)×C4312yes—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—41no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—82no—
589C2×C4—82no—
590C2×C4#121×C4311yescharacteristic
591C2×C4#121×C4311yescharacteristic
592C2×C4#121×C4311yescharacteristic
593C2×C4C22×D4×C4311yescharacteristic
594C2×C4C22×D4×C4311yescharacteristic
595C2×C4C2×#41×C4311yescharacteristic
596C8—21no—
597C8—21no—
598C8—21no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8AGL(1,ℤ/8)×C4312yescomplemented
606C22—21no—
607C22—21no—
608C22—22no—
609C22—21no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—84no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22C2×#121×C4311yescharacteristic
623C4—21no—
624C4—21no—
625C4—21no—
626C4—21no—
627C4—41no—
628C4—41no—
629C4—81no—
630C4—81no—
631C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
632C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
633C4C43×#57511yescharacteristic
634C4C43×#57511yescharacteristic
635C2—41no—
636C2—42no—
637C2—81no—
638C2—161no—
639C2—161no—
640C2C43×#303611yescharacteristic
641C2C43×#305511yescharacteristic
642C2C43×#306811yescharacteristic
subgroupG/H
center, socleC22×C43C2×#121
commutator, Frattini, cosocleC42C24×C43
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ C2×C42×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3184C2semidirect
2. C43×#3109C2semidirect
3. C43×#3036C2semidirect
4. D4×M16×C43C2semidirect
5. C43×#1701C2semidirect
6. C43×#1697C2semidirect
7. C43×#1691C2semidirect
8. C43×#1687C2semidirect
9. C43×#1681C2semidirect
10. C43×#1677C2semidirect
11. C43×#1671C2semidirect
12. C43×#1667C2semidirect
13. C43×#1569C2semidirect
14. C43×#1560C2semidirect
15. C43×#1557C2semidirect
21. C43×#498C22semidirect
22. C43×#493C22semidirect
23. C43×#486C22semidirect
24. C43×#486C22semidirect
55. C43×#335C22semidirect
56. C43×#335C22semidirect
57. C43×#334C22semidirect
58. C43×#334C22semidirect
59. C43×#333C22semidirect
60. C43×#333C22semidirect
61. C43×#332C22semidirect
62. C43×#332C22semidirect
63. C43×#331C22semidirect
64. C43×#331C22semidirect
65. C43×#331C22semidirect
66. C43×#331C22semidirect
283. C8×C43AGL(1,ℤ/8)semidirect
284. #19306C43direct (N × H)
314. #3184C2×C43semidirect
315. #3109C2×C43semidirect
316. #3036C2×C43semidirect
317. D4×M16C2×C43semidirect
318. #1701C2×C43semidirect
319. #1697C2×C43semidirect
320. #1691C2×C43semidirect
321. #1687C2×C43semidirect
322. #1681C2×C43semidirect
323. #1677C2×C43semidirect
324. #1671C2×C43semidirect
325. #1667C2×C43semidirect
326. #1569C2×C43semidirect
327. #1560C2×C43semidirect
328. #1557C2×C43semidirect
342. #498C22×C43semidirect
343. #493C22×C43semidirect
344. #486C22×C43semidirect
345. #486C22×C43semidirect
376. #335C22×C43semidirect
377. #335C22×C43semidirect
378. #334C22×C43semidirect
379. #334C22×C43semidirect
380. #333C22×C43semidirect
381. #333C22×C43semidirect
382. #332C22×C43semidirect
383. #332C22×C43semidirect
384. #331C22×C43semidirect
385. #331C22×C43semidirect
386. #331C22×C43semidirect
387. #331C22×C43semidirect
388. C43#19306direct (N × H)
605. C8AGL(1,ℤ/8)×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#31842
C43×#31092
C43×#30362
D4×M16×C432
C43×#17012
C43×#16972
C43×#16912
C43×#16872
C43×#16812
C43×#16772
C43×#16712
C43×#16672
C43×#15692
C43×#15602
C43×#15572
#1930643