Finite Group Databasebeta

← C43×#20309 #24940326

Subgroups — C43×#20309 #24940326

Order 11008.

720 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3397C211yesmaximal, characteristic, complemented
2C43×#3353C211yesmaximal, characteristic, complemented
3C43×#3274C211yesmaximal, characteristic, complemented
4C43×#3272C211yesmaximal, characteristic, complemented
5C43×#1706C211yesmaximal, characteristic, complemented
6C43×#1693C211yesmaximal, characteristic, complemented
7C43×#1687C211yesmaximal, characteristic, complemented
8C43×#1686C211yesmaximal, characteristic, complemented
9C43×#1685C211yesmaximal, characteristic, complemented
10C43×#1642C211yesmaximal, characteristic, complemented
11C43×#1639C211yesmaximal, characteristic, complemented
12C43×#1628C211yesmaximal, characteristic, complemented
13C43×#1625C211yesmaximal, characteristic, complemented
14C43×#1590C211yesmaximal, characteristic, complemented
15C43×#1589C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C2×AGL(1,ℤ/8)×C43—21no—
18C43×#556C2211yescharacteristic, complemented
19C43×#550C2211yescharacteristic
20C43×#547C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#500C2211yescharacteristic, complemented
23C43×#496—21no—
24C43×#493C2211yescharacteristic
25C43×#492C2211yescharacteristic
26C43×#492C2211yescharacteristic, complemented
27C43×#486C2211yescharacteristic
28C43×#486C2211yescharacteristic, complemented
29C43×#484—21no—
30C43×#482—21no—
31C43×#475C2211yescharacteristic, complemented
32C43×#474C2211yescharacteristic
33C43×#469—21no—
34C43×#468—21no—
35C43×#468—21no—
36C43×#463—21no—
37C43×#461C2211yescharacteristic
38C43×#461C2211yescharacteristic
39C43×#460—21no—
40C43×#460C2211yescharacteristic
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#459C2211yescharacteristic, complemented
44C43×#450—21no—
45C43×#449—21no—
46C43×#449—21no—
47C43×#447—21no—
48C43×#446C2211yescharacteristic, complemented
49C43×#440—21no—
50C4×SD16×C43C2211yescharacteristic
51C4×D8×C43C2211yescharacteristic
52C43×#436C2211yescharacteristic
53C43×#436C2211yescharacteristic
54C43×#436C2211yescharacteristic, complemented
55C43×#428—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—
72AGL(1,ℤ/8)×C43—44no—
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×C43—21no—
80C2×SD16×C43D411yescharacteristic
81C2×D8×C43—21no—
82C2×D8×C43—21no—
83C2×D8×C43—21no—
84C2×D8×C43—21no—
85C2×D8×C43—21no—
86C2×D8×C43D411yescharacteristic
87C2×M16×C43—21no—
88C2×M16×C43—21no—
89C2×M16×C43—21no—
90C4⋊Q8×C43C2311yescharacteristic
91C4⋊Q8×C43C2311yescharacteristic
92#127×C43—21no—
93#127×C43C2311yescharacteristic
94#127×C43C2311yescharacteristic
95#126×C43—41no—
96#124×C43—21no—
97#123×C43—41no—
98C22⋊Q8×C43—21no—
99C22⋊Q8×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#121×C43—21no—
104#121×C43—41no—
105#120×C43—41no—
106C4×Q8×C43—21no—
107C4×Q8×C43C2311yescharacteristic
108C4×D4×C43—21no—
109C4×D4×C43C2311yescharacteristic
110C4×D4×C43C2311yescharacteristic
111C4×D4×C43C2311yescharacteristic
112#117×C43—21no—
113C2×C4⋊C4×C43—21no—
114#107×C43—21no—
115#107×C43—21no—
116#107×C43—21no—
117#107×C43D411yescharacteristic
118#106×C43—21no—
119#106×C43D411yescharacteristic
120C4⋊C8×C43—21no—
121C4⋊C8×C43C2311yescharacteristic
122C4⋊C8×C43C2311yescharacteristic
123C4⋊C8×C43C2311yescharacteristic
124C4⋊C8×C43C2311yescharacteristic
125#103×C43—21no—
126#103×C43—21no—
127#103×C43—21no—
128#103×C43D411yescharacteristic
129#102×C43—21no—
130#102×C43—21no—
131#102×C43—21no—
132#102×C43—21no—
133#102×C43—21no—
134#102×C43—41no—
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—
147#41×C43—42no—
148#41×C43—42no—
149#41×C43—81no—
150#41×C43—81no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
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—41no—
165C2×D4×C43—42no—
166C2×D4×C43—42no—
167C2×D4×C43—81no—
168C2×D4×C43—81no—
169C2×D4×C43C2×D411yescharacteristic
170C2×D4×C43C2×D411yescharacteristic
171C2×D4×C43C2×D411yescharacteristic
172C22×C4×C43—21no—
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—41no—
176C22×C4×C43—41no—
177SD16×C43—22no—
178SD16×C43—42no—
179SD16×C43—42no—
180SD16×C43—42no—
181SD16×C43—42no—
182SD16×C43—81no—
183SD16×C43—81no—
184SD16×C43—81no—
185D8×C43—22no—
186D8×C43—42no—
187D8×C43—42no—
188D8×C43—42no—
189D8×C43—81no—
190D8×C43—81no—
191M16×C43—42no—
192M16×C43—42no—
193M16×C43—42no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
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×C43—41no—
209C4⋊C4×C43—41no—
210C4⋊C4×C43C2×D411yescharacteristic
211C4⋊C4×C43C2×D411yescharacteristic
212C4⋊C4×C43C2×D411yescharacteristic
213C4⋊C4×C43C2×D411yescharacteristic
214C22⋊C4×C43—21no—
215C22⋊C4×C43—21no—
216C22⋊C4×C43—21no—
217C22⋊C4×C43—41no—
218C22⋊C4×C43—41no—
219C22⋊C4×C43—41no—
220C22⋊C4×C43—41no—
221C22⋊C4×C43—41no—
222C42×C43—21no—
223C42×C43—41no—
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—161no—
233Q8×C43—21no—
234Q8×C43—21no—
235Q8×C43—41no—
236Q8×C43—41no—
237Q8×C43—41no—
238Q8×C43—41no—
239D4×C43—21no—
240D4×C43—21no—
241D4×C43—21no—
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×C43—161no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
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—82no—
274C2×C4×C43—82no—
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C8×C43—21no—
279C8×C43—21no—
280C8×C43—41no—
281C8×C43—41no—
282C8×C43—41no—
283C8×C43—41no—
284C8×C43—41no—
285C8×C43AGL(1,ℤ/8)12yescomplemented
286C8×C43AGL(1,ℤ/8)12yescomplemented
287#20309C4311yesmaximal, characteristic, direct product factor, Sylow
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43—81no—
302C22×C43—81no—
303C22×C43—164no—
304C22×C43D4211yescharacteristic
305C4×C43—21no—
306C4×C43—41no—
307C4×C43—41no—
308C4×C43—41no—
309C4×C43—41no—
310C4×C43—41no—
311C4×C43—81no—
312C4×C43—81no—
313C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
314C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
315C4×C43#57611yescharacteristic
316C4×C43#57711yescharacteristic
317#3397C2×C4311yescharacteristic, complemented
318#3353C2×C4311yescharacteristic, complemented
319#3274C2×C4311yescharacteristic, complemented
320#3272C2×C4311yescharacteristic, complemented
321#1706C2×C4311yescharacteristic, complemented
322#1693C2×C4311yescharacteristic, complemented
323#1687C2×C4311yescharacteristic, complemented
324#1686C2×C4311yescharacteristic, complemented
325#1685C2×C4311yescharacteristic, complemented
326#1642C2×C4311yescharacteristic, complemented
327#1639C2×C4311yescharacteristic, complemented
328#1628C2×C4311yescharacteristic, complemented
329#1625C2×C4311yescharacteristic, complemented
330#1590C2×C4311yescharacteristic, complemented
331#1589C2×C4311yescharacteristic, complemented
332C2×C43—81no—
333C2×C43—81no—
334C2×C43—81no—
335C2×C43—161no—
336C2×C43—161no—
337C2×C43#327211yescharacteristic
338C2×C43#327411yescharacteristic
339C2×C43#329011yescharacteristic
340C2×AGL(1,ℤ/8)—21no—
341C2×AGL(1,ℤ/8)—21no—
342#556C22×C4311yescharacteristic, complemented
343#550C22×C4311yescharacteristic
344#547C22×C4311yescharacteristic
345D42C22×C4311yescharacteristic
346#500C22×C4311yescharacteristic, complemented
347#496—21no—
348#493C22×C4311yescharacteristic
349#492C22×C4311yescharacteristic
350#492C22×C4311yescharacteristic, complemented
351#486C22×C4311yescharacteristic
352#486C22×C4311yescharacteristic, complemented
353#484—21no—
354#482—21no—
355#475C22×C4311yescharacteristic, complemented
356#474C22×C4311yescharacteristic
357#469—21no—
358#468—21no—
359#468—21no—
360#463—21no—
361#461C22×C4311yescharacteristic
362#461C22×C4311yescharacteristic
363#460—21no—
364#460C22×C4311yescharacteristic
365#459C22×C4311yescharacteristic
366#459C22×C4311yescharacteristic
367#459C22×C4311yescharacteristic, complemented
368#450—21no—
369#449—21no—
370#449—21no—
371#447—21no—
372#446C22×C4311yescharacteristic, complemented
373#440—21no—
374C4×SD16C22×C4311yescharacteristic
375C4×D8C22×C4311yescharacteristic
376#436C22×C4311yescharacteristic
377#436C22×C4311yescharacteristic
378#436C22×C4311yescharacteristic, complemented
379#428—21no—
380#335C22×C4311yescharacteristic, complemented
381#334C22×C4311yescharacteristic, complemented
382#332C22×C4311yescharacteristic, complemented
383#332C22×C4311yescharacteristic, complemented
384#331C22×C4311yescharacteristic
385#331C22×C4311yescharacteristic, complemented
386Q8⋊C8C22×C4311yescharacteristic, complemented
387D4⋊C8C22×C4311yescharacteristic
388D4⋊C8C22×C4311yescharacteristic
389D4⋊C8C22×C4311yescharacteristic, complemented
390C82C22×C4311yescharacteristic, complemented
391C43#2030911yescharacteristic, direct product factor, Sylow
392C2×#41—21no—
393C2×#41—21no—
394C22×D4—21no—
395C22×D4—21no—
396AGL(1,ℤ/8)—44no—
397AGL(1,ℤ/8)—44no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16D4×C4311yescharacteristic
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8D4×C4311yescharacteristic
412C2×M16—21no—
413C2×M16—21no—
414C2×M16—21no—
415C4⋊Q8C23×C4311yescharacteristic
416C4⋊Q8C23×C4311yescharacteristic
417#127—21no—
418#127C23×C4311yescharacteristic
419#127C23×C4311yescharacteristic
420#126—41no—
421#124—21no—
422#123—41no—
423C22⋊Q8—21no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—41no—
430#120—41no—
431C4×Q8—21no—
432C4×Q8C23×C4311yescharacteristic
433C4×D4—21no—
434C4×D4C23×C4311yescharacteristic
435C4×D4C23×C4311yescharacteristic
436C4×D4C23×C4311yescharacteristic
437#117—21no—
438C2×C4⋊C4—21no—
439#107—21no—
440#107—21no—
441#107—21no—
442#107D4×C4311yescharacteristic
443#106—21no—
444#106D4×C4311yescharacteristic
445C4⋊C8—21no—
446C4⋊C8C23×C4311yescharacteristic
447C4⋊C8C23×C4311yescharacteristic
448C4⋊C8C23×C4311yescharacteristic
449C4⋊C8C23×C4311yescharacteristic
450#103—21no—
451#103—21no—
452#103—21no—
453#103D4×C4311yescharacteristic
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—41no—
460#102—41no—
461#102D4×C4311yescharacteristic
462#102D4×C4311yescharacteristic
463#102D4×C4311yescharacteristic
464C22⋊C8—21no—
465C22⋊C8—21no—
466C22⋊C8—21no—
467#97—21no—
468C4×C8C23×C4311yescharacteristic
469C4×C8C23×C4311yescharacteristic
470C4×C8C23×C4311yescharacteristic
471C24—41no—
472#41—42no—
473#41—42no—
474#41—81no—
475#41—81no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8C2×D4×C4311yescharacteristic
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—41no—
488C2×D4—41no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—41no—
492C2×D4—81no—
493C2×D4—81no—
494C2×D4C2×D4×C4311yescharacteristic
495C2×D4C2×D4×C4311yescharacteristic
496C2×D4C2×D4×C4311yescharacteristic
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—41no—
501C22×C4—41no—
502SD16—22no—
503SD16—42no—
504SD16—42no—
505SD16—42no—
506SD16—42no—
507SD16—81no—
508SD16—81no—
509SD16—81no—
510D8—22no—
511D8—42no—
512D8—42no—
513D8—42no—
514D8—81no—
515D8—81no—
516M16—42no—
517M16—42no—
518M16—42no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8C2×D4×C4311yescharacteristic
525C2×C8C2×D4×C4311yescharacteristic
526C2×C8C2×D4×C4311yescharacteristic
527C2×C8C2×D4×C4311yescharacteristic
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—41no—
534C4⋊C4—41no—
535C4⋊C4C2×D4×C4311yescharacteristic
536C4⋊C4C2×D4×C4311yescharacteristic
537C4⋊C4C2×D4×C4311yescharacteristic
538C4⋊C4C2×D4×C4311yescharacteristic
539C22⋊C4—21no—
540C22⋊C4—21no—
541C22⋊C4—21no—
542C22⋊C4—41no—
543C22⋊C4—41no—
544C22⋊C4—41no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C42—21no—
548C42—41no—
549C42C24×C4311yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—41no—
554C23—41no—
555C23—82no—
556C23—82no—
557C23—161no—
558Q8—21no—
559Q8—21no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564D4—21no—
565D4—21no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—81no—
579D4—81no—
580D4—82no—
581D4—82no—
582D4—82no—
583D4—82no—
584D4—161no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C22×D4×C4311yescharacteristic
601C2×C4C22×D4×C4311yescharacteristic
602C2×C4H(5,𝔽2)×C4311yescharacteristic
603C8—21no—
604C8—21no—
605C8—41no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8AGL(1,ℤ/8)×C4312yescomplemented
611C8AGL(1,ℤ/8)×C4312yescomplemented
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—81no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22D42×C4311yescharacteristic
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—41no—
635C4—81no—
636C4—81no—
637C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
638C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
639C4C43×#57611yescharacteristic
640C4C43×#57711yescharacteristic
641C2—81no—
642C2—81no—
643C2—81no—
644C2—161no—
645C2—161no—
646C2C43×#327211yescharacteristic
647C2C43×#327411yescharacteristic
648C2C43×#329011yescharacteristic
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×#3353C2semidirect
3. C43×#3274C2semidirect
4. C43×#3272C2semidirect
5. C43×#1706C2semidirect
6. C43×#1693C2semidirect
7. C43×#1687C2semidirect
8. C43×#1686C2semidirect
9. C43×#1685C2semidirect
10. C43×#1642C2semidirect
11. C43×#1639C2semidirect
12. C43×#1628C2semidirect
13. C43×#1625C2semidirect
14. C43×#1590C2semidirect
15. C43×#1589C2semidirect
18. C43×#556C22semidirect
22. C43×#500C22semidirect
26. C43×#492C22semidirect
28. C43×#486C22semidirect
31. C43×#475C22semidirect
43. C43×#459C22semidirect
48. C43×#446C22semidirect
54. 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. C8×C43AGL(1,ℤ/8)semidirect
286. C8×C43AGL(1,ℤ/8)semidirect
287. #20309C43direct (N × H)
317. #3397C2×C43semidirect
318. #3353C2×C43semidirect
319. #3274C2×C43semidirect
320. #3272C2×C43semidirect
321. #1706C2×C43semidirect
322. #1693C2×C43semidirect
323. #1687C2×C43semidirect
324. #1686C2×C43semidirect
325. #1685C2×C43semidirect
326. #1642C2×C43semidirect
327. #1639C2×C43semidirect
328. #1628C2×C43semidirect
329. #1625C2×C43semidirect
330. #1590C2×C43semidirect
331. #1589C2×C43semidirect
342. #556C22×C43semidirect
346. #500C22×C43semidirect
350. #492C22×C43semidirect
352. #486C22×C43semidirect
355. #475C22×C43semidirect
367. #459C22×C43semidirect
372. #446C22×C43semidirect
378. #436C22×C43semidirect
380. #335C22×C43semidirect
381. #334C22×C43semidirect
382. #332C22×C43semidirect
383. #332C22×C43semidirect
385. #331C22×C43semidirect
386. Q8⋊C8C22×C43semidirect
389. D4⋊C8C22×C43semidirect
390. C82C22×C43semidirect
391. C43#20309direct (N × H)
610. C8AGL(1,ℤ/8)×C43semidirect
611. 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×#33972
C43×#33532
C43×#32742
C43×#32722
C43×#17062
C43×#16932
C43×#16872
C43×#16862
C43×#16852
C43×#16422
C43×#16392
C43×#16282
C43×#16252
C43×#15902
C43×#15892
#2030943