Finite Group Databasebeta

← C43×#20303 #24940320

Subgroups — C43×#20303 #24940320

Order 11008.

700 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3397C211yesmaximal, characteristic, complemented
2C43×#3332C211yesmaximal, characteristic, complemented
3C43×#3324C211yesmaximal, characteristic, complemented
4C43×#3272C211yesmaximal, characteristic, complemented
5C43×#1706C211yesmaximal, characteristic, complemented
6C43×#1701C211yesmaximal, characteristic, complemented
7C43×#1701C211yesmaximal, characteristic, complemented
8C43×#1686C211yesmaximal, characteristic, complemented
9C43×#1685C211yesmaximal, characteristic, complemented
10C43×#1650C211yesmaximal, characteristic, complemented
11C43×#1647C211yesmaximal, characteristic, complemented
12C43×#1621C211yesmaximal, characteristic, complemented
13C43×#1619C211yesmaximal, characteristic, complemented
14C43×#1590C211yesmaximal, characteristic, complemented
15C43×#1589C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C43×#556C2211yescharacteristic
18C43×#550C2211yescharacteristic, complemented
19C43×#547C2211yescharacteristic
20D42×C43C2211yescharacteristic
21C43×#500C2211yescharacteristic, complemented
22C43×#496—21no—
23C43×#493C2211yescharacteristic
24C43×#492C2211yescharacteristic
25C43×#492C2211yescharacteristic, complemented
26C43×#486C2211yescharacteristic
27C43×#486C2211yescharacteristic, complemented
28C43×#482—21no—
29C43×#481—21no—
30C43×#475C2211yescharacteristic, complemented
31C43×#474C2211yescharacteristic
32C43×#469—21no—
33C43×#468—21no—
34C43×#468—21no—
35C43×#463—21no—
36C43×#461C2211yescharacteristic
37C43×#461C2211yescharacteristic, complemented
38C43×#460—21no—
39C43×#460C2211yescharacteristic
40C43×#459C2211yescharacteristic
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#450—21no—
44C43×#450—21no—
45C43×#449—21no—
46C43×#449—21no—
47C43×#446C2211yescharacteristic, complemented
48C43×#440—21no—
49C4×SD16×C43C2211yescharacteristic
50C4×D8×C43C2211yescharacteristic
51C43×#436C2211yescharacteristic
52C43×#436C2211yescharacteristic
53C43×#436C2211yescharacteristic, complemented
54C43×#418—21no—
55C43×#417—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#332C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic
61C43×#331C2211yescharacteristic, complemented
62C43×Q8⋊C8C2211yescharacteristic, complemented
63C43×D4⋊C8C2211yescharacteristic
64C43×D4⋊C8C2211yescharacteristic
65C43×D4⋊C8C2211yescharacteristic, complemented
66C82×C43C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C2×#41×C43—21no—
69C22×D4×C43—21no—
70C22×D4×C43—21no—
71AGL(1,ℤ/8)×C43—44no—
72C2×SD16×C43—21no—
73C2×SD16×C43—21no—
74C2×SD16×C43—21no—
75C2×SD16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43—21no—
78C2×SD16×C43—21no—
79C2×SD16×C43D411yescharacteristic
80C2×D8×C43—21no—
81C2×D8×C43—21no—
82C2×D8×C43—21no—
83C2×D8×C43—41no—
84C2×D8×C43D411yescharacteristic
85C2×M16×C43—21no—
86C2×M16×C43—21no—
87C2×M16×C43—21no—
88C4⋊Q8×C43C2311yescharacteristic
89C4⋊Q8×C43C2311yescharacteristic
90#127×C43—21no—
91#127×C43C2311yescharacteristic
92#127×C43C2311yescharacteristic
93#126×C43—41no—
94#124×C43—21no—
95#123×C43—41no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—21no—
98#121×C43—21no—
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—41no—
103#120×C43—41no—
104C4×Q8×C43—21no—
105C4×Q8×C43C2311yescharacteristic
106C4×D4×C43—21no—
107C4×D4×C43C2311yescharacteristic
108C4×D4×C43C2311yescharacteristic
109C4×D4×C43C2311yescharacteristic
110#117×C43—21no—
111C2×C4⋊C4×C43—21no—
112#107×C43—21no—
113#107×C43—41no—
114#107×C43D411yescharacteristic
115#106×C43—21no—
116#106×C43D411yescharacteristic
117C4⋊C8×C43—21no—
118C4⋊C8×C43C2311yescharacteristic
119C4⋊C8×C43C2311yescharacteristic
120C4⋊C8×C43C2311yescharacteristic
121C4⋊C8×C43C2311yescharacteristic
122#103×C43—21no—
123#103×C43—21no—
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×C43D411yescharacteristic
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141#97×C43—21no—
142C4×C8×C43C2311yescharacteristic
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C24×C43—41no—
146#41×C43—42no—
147#41×C43—42no—
148#41×C43—81no—
149#41×C43—81no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43C2×D411yescharacteristic
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—41no—
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—81no—
167C2×D4×C43—81no—
168C2×D4×C43C2×D411yescharacteristic
169C2×D4×C43C2×D411yescharacteristic
170C2×D4×C43C2×D411yescharacteristic
171C22×C4×C43—21no—
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C22×C4×C43—41no—
175C22×C4×C43—41no—
176SD16×C43—41no—
177SD16×C43—42no—
178SD16×C43—42no—
179SD16×C43—42no—
180SD16×C43—81no—
181SD16×C43—81no—
182SD16×C43—81no—
183SD16×C43—81no—
184D8×C43—22no—
185D8×C43—42no—
186D8×C43—82no—
187D8×C43—81no—
188D8×C43—81no—
189M16×C43—42no—
190M16×C43—81no—
191M16×C43—81no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43C2×D411yescharacteristic
198C2×C8×C43C2×D411yescharacteristic
199C2×C8×C43C2×D411yescharacteristic
200C2×C8×C43C2×D411yescharacteristic
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—41no—
207C4⋊C4×C43—41no—
208C4⋊C4×C43C2×D411yescharacteristic
209C4⋊C4×C43C2×D411yescharacteristic
210C4⋊C4×C43C2×D411yescharacteristic
211C4⋊C4×C43C2×D411yescharacteristic
212C22⋊C4×C43—21no—
213C22⋊C4×C43—21no—
214C22⋊C4×C43—21no—
215C22⋊C4×C43—41no—
216C22⋊C4×C43—41no—
217C22⋊C4×C43—41no—
218C22⋊C4×C43—41no—
219C22⋊C4×C43—41no—
220C42×C43—21no—
221C42×C43—41no—
222C42×C43C2411yescharacteristic
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—82no—
229C23×C43—82no—
230C23×C43—161no—
231Q8×C43—21no—
232Q8×C43—21no—
233Q8×C43—41no—
234Q8×C43—41no—
235Q8×C43—41no—
236Q8×C43—41no—
237D4×C43—21no—
238D4×C43—21no—
239D4×C43—21no—
240D4×C43—21no—
241D4×C43—21no—
242D4×C43—21no—
243D4×C43—41no—
244D4×C43—41no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—41no—
250D4×C43—41no—
251D4×C43—81no—
252D4×C43—81no—
253D4×C43—82no—
254D4×C43—82no—
255D4×C43—82no—
256D4×C43—82no—
257D4×C43—161no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
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—82no—
272C2×C4×C43—82no—
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C8×C43—22no—
277C8×C43—21no—
278C8×C43—21no—
279C8×C43—21no—
280C8×C43—41no—
281C8×C43—41no—
282C8×C43—41no—
283C8×C43—41no—
284C8×C43AGL(1,ℤ/8)12yes—
285#20303C4311yesmaximal, characteristic, direct product factor, Sylow
286C22×C43—41no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—81no—
296C22×C43—81no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43—164no—
302C22×C43D4211yescharacteristic
303C4×C43—21no—
304C4×C43—41no—
305C4×C43—41no—
306C4×C43—41no—
307C4×C43—41no—
308C4×C43—41no—
309C4×C43—81no—
310C4×C43—81no—
311C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
312C4×C43#57511yescharacteristic
313C4×C43#57611yescharacteristic
314C4×C43#57611yescharacteristic
315#3397C2×C4311yescharacteristic, complemented
316#3332C2×C4311yescharacteristic, complemented
317#3324C2×C4311yescharacteristic, complemented
318#3272C2×C4311yescharacteristic, complemented
319#1706C2×C4311yescharacteristic, complemented
320#1701C2×C4311yescharacteristic, complemented
321#1701C2×C4311yescharacteristic, complemented
322#1686C2×C4311yescharacteristic, complemented
323#1685C2×C4311yescharacteristic, complemented
324#1650C2×C4311yescharacteristic, complemented
325#1647C2×C4311yescharacteristic, complemented
326#1621C2×C4311yescharacteristic, complemented
327#1619C2×C4311yescharacteristic, complemented
328#1590C2×C4311yescharacteristic, complemented
329#1589C2×C4311yescharacteristic, complemented
330C2×C43—81no—
331C2×C43—81no—
332C2×C43—81no—
333C2×C43—161no—
334C2×C43—161no—
335C2×C43#327311yescharacteristic
336C2×C43#327411yescharacteristic
337C2×C43#329111yescharacteristic
338C2×AGL(1,ℤ/8)—21no—
339#556C22×C4311yescharacteristic
340#550C22×C4311yescharacteristic, complemented
341#547C22×C4311yescharacteristic
342D42C22×C4311yescharacteristic
343#500C22×C4311yescharacteristic, complemented
344#496—21no—
345#493C22×C4311yescharacteristic
346#492C22×C4311yescharacteristic
347#492C22×C4311yescharacteristic, complemented
348#486C22×C4311yescharacteristic
349#486C22×C4311yescharacteristic, complemented
350#482—21no—
351#481—21no—
352#475C22×C4311yescharacteristic, complemented
353#474C22×C4311yescharacteristic
354#469—21no—
355#468—21no—
356#468—21no—
357#463—21no—
358#461C22×C4311yescharacteristic
359#461C22×C4311yescharacteristic, complemented
360#460—21no—
361#460C22×C4311yescharacteristic
362#459C22×C4311yescharacteristic
363#459C22×C4311yescharacteristic
364#459C22×C4311yescharacteristic
365#450—21no—
366#450—21no—
367#449—21no—
368#449—21no—
369#446C22×C4311yescharacteristic, complemented
370#440—21no—
371C4×SD16C22×C4311yescharacteristic
372C4×D8C22×C4311yescharacteristic
373#436C22×C4311yescharacteristic
374#436C22×C4311yescharacteristic
375#436C22×C4311yescharacteristic, complemented
376#418—21no—
377#417—21no—
378#335C22×C4311yescharacteristic, complemented
379#334C22×C4311yescharacteristic, complemented
380#332C22×C4311yescharacteristic, complemented
381#332C22×C4311yescharacteristic, complemented
382#331C22×C4311yescharacteristic
383#331C22×C4311yescharacteristic, complemented
384Q8⋊C8C22×C4311yescharacteristic, complemented
385D4⋊C8C22×C4311yescharacteristic
386D4⋊C8C22×C4311yescharacteristic
387D4⋊C8C22×C4311yescharacteristic, complemented
388C82C22×C4311yescharacteristic, complemented
389C43#2030311yescharacteristic, direct product factor, Sylow
390C2×#41—21no—
391C2×#41—21no—
392C22×D4—21no—
393C22×D4—21no—
394AGL(1,ℤ/8)—44no—
395C2×SD16—21no—
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16D4×C4311yescharacteristic
403C2×D8—21no—
404C2×D8—21no—
405C2×D8—21no—
406C2×D8—41no—
407C2×D8D4×C4311yescharacteristic
408C2×M16—21no—
409C2×M16—21no—
410C2×M16—21no—
411C4⋊Q8C23×C4311yescharacteristic
412C4⋊Q8C23×C4311yescharacteristic
413#127—21no—
414#127C23×C4311yescharacteristic
415#127C23×C4311yescharacteristic
416#126—41no—
417#124—21no—
418#123—41no—
419C22⋊Q8—21no—
420C22⋊Q8—21no—
421#121—21no—
422#121—21no—
423#121—21no—
424#121—21no—
425#121—41no—
426#120—41no—
427C4×Q8—21no—
428C4×Q8C23×C4311yescharacteristic
429C4×D4—21no—
430C4×D4C23×C4311yescharacteristic
431C4×D4C23×C4311yescharacteristic
432C4×D4C23×C4311yescharacteristic
433#117—21no—
434C2×C4⋊C4—21no—
435#107—21no—
436#107—41no—
437#107D4×C4311yescharacteristic
438#106—21no—
439#106D4×C4311yescharacteristic
440C4⋊C8—21no—
441C4⋊C8C23×C4311yescharacteristic
442C4⋊C8C23×C4311yescharacteristic
443C4⋊C8C23×C4311yescharacteristic
444C4⋊C8C23×C4311yescharacteristic
445#103—21no—
446#103—21no—
447#103—21no—
448#103D4×C4311yescharacteristic
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—
458#102D4×C4311yescharacteristic
459#102D4×C4311yescharacteristic
460#102D4×C4311yescharacteristic
461C22⋊C8—21no—
462C22⋊C8—21no—
463C22⋊C8—21no—
464#97—21no—
465C4×C8C23×C4311yescharacteristic
466C4×C8C23×C4311yescharacteristic
467C4×C8C23×C4311yescharacteristic
468C24—41no—
469#41—42no—
470#41—42no—
471#41—81no—
472#41—81no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8C2×D4×C4311yescharacteristic
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×D4—41no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—41no—
489C2×D4—81no—
490C2×D4—81no—
491C2×D4C2×D4×C4311yescharacteristic
492C2×D4C2×D4×C4311yescharacteristic
493C2×D4C2×D4×C4311yescharacteristic
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—41no—
498C22×C4—41no—
499SD16—41no—
500SD16—42no—
501SD16—42no—
502SD16—42no—
503SD16—81no—
504SD16—81no—
505SD16—81no—
506SD16—81no—
507D8—22no—
508D8—42no—
509D8—82no—
510D8—81no—
511D8—81no—
512M16—42no—
513M16—81no—
514M16—81no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8C2×D4×C4311yescharacteristic
521C2×C8C2×D4×C4311yescharacteristic
522C2×C8C2×D4×C4311yescharacteristic
523C2×C8C2×D4×C4311yescharacteristic
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—41no—
530C4⋊C4—41no—
531C4⋊C4C2×D4×C4311yescharacteristic
532C4⋊C4C2×D4×C4311yescharacteristic
533C4⋊C4C2×D4×C4311yescharacteristic
534C4⋊C4C2×D4×C4311yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C22⋊C4—41no—
543C42—21no—
544C42—41no—
545C42C24×C4311yescharacteristic
546C23—21no—
547C23—21no—
548C23—21no—
549C23—41no—
550C23—41no—
551C23—82no—
552C23—82no—
553C23—161no—
554Q8—21no—
555Q8—21no—
556Q8—41no—
557Q8—41no—
558Q8—41no—
559Q8—41no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—21no—
565D4—21no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—81no—
575D4—81no—
576D4—82no—
577D4—82no—
578D4—82no—
579D4—82no—
580D4—161no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—82no—
595C2×C4—82no—
596C2×C4C22×D4×C4311yescharacteristic
597C2×C4C22×D4×C4311yescharacteristic
598C2×C4H(5,𝔽2)×C4311yescharacteristic
599C8—22no—
600C8—21no—
601C8—21no—
602C8—21no—
603C8—41no—
604C8—41no—
605C8—41no—
606C8—41no—
607C8AGL(1,ℤ/8)×C4312yes—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—164no—
624C22D42×C4311yescharacteristic
625C4—21no—
626C4—41no—
627C4—41no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—81no—
632C4—81no—
633C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
634C4C43×#57511yescharacteristic
635C4C43×#57611yescharacteristic
636C4C43×#57611yescharacteristic
637C2—81no—
638C2—81no—
639C2—81no—
640C2—161no—
641C2—161no—
642C2C43×#327311yescharacteristic
643C2C43×#327411yescharacteristic
644C2C43×#329111yescharacteristic
subgroupG/H
center, socleC22×C43D42
commutator, Frattini, cosocleC42C24×C43
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×#3397C2semidirect
2. C43×#3332C2semidirect
3. C43×#3324C2semidirect
4. C43×#3272C2semidirect
5. C43×#1706C2semidirect
6. C43×#1701C2semidirect
7. C43×#1701C2semidirect
8. C43×#1686C2semidirect
9. C43×#1685C2semidirect
10. C43×#1650C2semidirect
11. C43×#1647C2semidirect
12. C43×#1621C2semidirect
13. C43×#1619C2semidirect
14. C43×#1590C2semidirect
15. C43×#1589C2semidirect
18. C43×#550C22semidirect
21. C43×#500C22semidirect
25. C43×#492C22semidirect
27. C43×#486C22semidirect
30. C43×#475C22semidirect
37. C43×#461C22semidirect
47. C43×#446C22semidirect
53. C43×#436C22semidirect
56. C43×#335C22semidirect
57. C43×#334C22semidirect
58. C43×#332C22semidirect
59. C43×#332C22semidirect
61. C43×#331C22semidirect
62. C43×Q8⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C82×C43C22semidirect
285. #20303C43direct (N × H)
315. #3397C2×C43semidirect
316. #3332C2×C43semidirect
317. #3324C2×C43semidirect
318. #3272C2×C43semidirect
319. #1706C2×C43semidirect
320. #1701C2×C43semidirect
321. #1701C2×C43semidirect
322. #1686C2×C43semidirect
323. #1685C2×C43semidirect
324. #1650C2×C43semidirect
325. #1647C2×C43semidirect
326. #1621C2×C43semidirect
327. #1619C2×C43semidirect
328. #1590C2×C43semidirect
329. #1589C2×C43semidirect
340. #550C22×C43semidirect
343. #500C22×C43semidirect
347. #492C22×C43semidirect
349. #486C22×C43semidirect
352. #475C22×C43semidirect
359. #461C22×C43semidirect
369. #446C22×C43semidirect
375. #436C22×C43semidirect
378. #335C22×C43semidirect
379. #334C22×C43semidirect
380. #332C22×C43semidirect
381. #332C22×C43semidirect
383. #331C22×C43semidirect
384. Q8⋊C8C22×C43semidirect
387. D4⋊C8C22×C43semidirect
388. C82C22×C43semidirect
389. C43#20303direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#33972
C43×#33322
C43×#33242
C43×#32722
C43×#17062
C43×#17012
C43×#16862
C43×#16852
C43×#16502
C43×#16472
C43×#16212
C43×#16192
C43×#15902
C43×#15892
#2030343