Finite Group Databasebeta

← C43×#20190 #24940207

Subgroups — C43×#20190 #24940207

Order 11008.

704 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3367C211yesmaximal, characteristic, complemented
2C43×#3353C211yesmaximal, characteristic, complemented
3D4×SD16×C43C211yesmaximal, characteristic, complemented
4C43×#3272C211yesmaximal, characteristic
5C43×#1714C211yesmaximal, characteristic, complemented
6C43×#1699C211yesmaximal, characteristic, complemented
7C43×#1686C211yesmaximal, characteristic, complemented
8C43×#1685C211yesmaximal, characteristic, complemented
9C43×#1673C211yesmaximal, characteristic, complemented
10C43×#1654C211yesmaximal, characteristic, complemented
11C43×#1651C211yesmaximal, characteristic, complemented
12C43×#1639C211yesmaximal, characteristic, complemented
13C43×#1628C211yesmaximal, characteristic, complemented
14C43×#1592C211yesmaximal, characteristic, complemented
15C43×#1581C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C22×SD16×C43—21no—
18C43×#556C2211yescharacteristic, complemented
19D4×Q8×C43C2211yescharacteristic
20C43×#547C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#500C2211yescharacteristic, complemented
23C43×#498C2211yescharacteristic, complemented
24C43×#492C2211yescharacteristic
25C43×#492C2211yescharacteristic
26C43×#489—21no—
27C43×#487C2211yescharacteristic, complemented
28C43×#486C2211yescharacteristic
29C43×#484—21no—
30C43×#482—21no—
31C43×#477—21no—
32C43×#475C2211yescharacteristic, complemented
33C43×#474C2211yescharacteristic
34C43×#474C2211yescharacteristic, complemented
35C43×#468—21no—
36C43×#468—21no—
37C43×#465—21no—
38C43×#463—21no—
39C43×#461C2211yescharacteristic
40C43×#461C2211yescharacteristic
41C43×#461C2211yescharacteristic
42C43×#460C2211yescharacteristic
43C43×#459C2211yescharacteristic
44C43×#450—21no—
45C43×#450—21no—
46C43×#449—21no—
47C43×#448—21no—
48C43×#446C2211yescharacteristic, complemented
49C43×#440—21no—
50C4×SD16×C43C2211yescharacteristic
51C4×D8×C43C2211yescharacteristic
52C43×#436C2211yescharacteristic
53C43×#436C2211yescharacteristic, complemented
54C8×D4×C43C2211yescharacteristic
55C43×#428—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#335C2211yescharacteristic, complemented
58C43×#332C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#332C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic
62C43×Q8⋊C8C2211yescharacteristic, complemented
63C43×D4⋊C8C2211yescharacteristic
64C43×D4⋊C8C2211yescharacteristic
65C43×D4⋊C8C2211yescharacteristic, complemented
66C43×#322C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C22×Q8×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×C43—21no—
80C2×SD16×C43—44no—
81C2×SD16×C43D411yescharacteristic
82C2×D8×C43—21no—
83C2×D8×C43D411yescharacteristic
84C2×M16×C43—21no—
85C2×M16×C43—21no—
86C22×C8×C43—21no—
87C4⋊Q8×C43—21no—
88C4⋊Q8×C43C2311yescharacteristic
89C4⋊Q8×C43C2311yescharacteristic
90C4⋊Q8×C43C2311yescharacteristic
91#127×C43C2311yescharacteristic
92#126×C43—41no—
93#124×C43—21no—
94#123×C43—41no—
95C22⋊Q8×C43—21no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—21no—
98C22⋊Q8×C43—41no—
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#120×C43—41no—
103C4×Q8×C43—21no—
104C4×Q8×C43C2311yescharacteristic
105C4×D4×C43—21no—
106C4×D4×C43C2311yescharacteristic
107C4×D4×C43C2311yescharacteristic
108C4×D4×C43C2311yescharacteristic
109#117×C43—21no—
110C2×C4⋊C4×C43—21no—
111#107×C43—21no—
112#107×C43—21no—
113#107×C43—21no—
114#107×C43—21no—
115#107×C43D411yescharacteristic
116#106×C43—21no—
117#106×C43—41no—
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×C43—21no—
126#103×C43—21no—
127#103×C43—21no—
128#103×C43—21no—
129#103×C43—21no—
130#103×C43D411yescharacteristic
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—
147#41×C43—42no—
148#41×C43—81no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—41no—
153C2×Q8×C43—42no—
154C2×Q8×C43—81no—
155C2×Q8×C43C2×D411yescharacteristic
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—42no—
163C2×D4×C43—42no—
164C2×D4×C43—81no—
165C2×D4×C43—81no—
166C2×D4×C43C2×D411yescharacteristic
167C2×D4×C43C2×D411yescharacteristic
168C2×D4×C43C2×D411yescharacteristic
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—41no—
173C22×C4×C43—41no—
174SD16×C43—22no—
175SD16×C43—42no—
176SD16×C43—42no—
177SD16×C43—42no—
178SD16×C43—42no—
179SD16×C43—42no—
180SD16×C43—42no—
181SD16×C43—81no—
182SD16×C43—81no—
183D8×C43—22no—
184D8×C43—42no—
185M16×C43—42no—
186M16×C43—42no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—42no—
193C2×C8×C43C2×D411yescharacteristic
194C2×C8×C43C2×D411yescharacteristic
195C2×C8×C43C2×D411yescharacteristic
196C2×C8×C43C2×D411yescharacteristic
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—41no—
205C4⋊C4×C43—41no—
206C4⋊C4×C43—41no—
207C4⋊C4×C43C2×D411yescharacteristic
208C4⋊C4×C43C2×D411yescharacteristic
209C4⋊C4×C43C2×D411yescharacteristic
210C4⋊C4×C43C2×D411yescharacteristic
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—
218C22⋊C4×C43—41no—
219C42×C43—21no—
220C42×C43—41no—
221C42×C43C2411yescharacteristic
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—41no—
226C23×C43—82no—
227C23×C43—82no—
228C23×C43—161no—
229Q8×C43—21no—
230Q8×C43—21no—
231Q8×C43—41no—
232Q8×C43—41no—
233Q8×C43—41no—
234Q8×C43—41no—
235Q8×C43—41no—
236Q8×C43—41no—
237Q8×C43—82no—
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—81no—
248D4×C43—82no—
249D4×C43—82no—
250D4×C43—82no—
251D4×C43AGL(1,ℤ/8)12yes—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
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×C43C22×D411yescharacteristic
269C2×C4×C43C22×D411yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C8×C43—21no—
272C8×C43—21no—
273C8×C43—21no—
274C8×C43—41no—
275C8×C43—41no—
276C8×C43—41no—
277C8×C43—41no—
278C8×C43—41no—
279C8×C43AGL(1,ℤ/8)12yescomplemented
280#20190C4311yesmaximal, characteristic, direct product factor, Sylow
281C22×C43—22no—
282C22×C43—41no—
283C22×C43—41no—
284C22×C43—41no—
285C22×C43—41no—
286C22×C43—41no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—81no—
291C22×C43—81no—
292C22×C43—81no—
293C22×C43—164no—
294C22×C43D4211yescharacteristic
295C4×C43—21no—
296C4×C43—41no—
297C4×C43—41no—
298C4×C43—41no—
299C4×C43—41no—
300C4×C43—41no—
301C4×C43—81no—
302C4×C43—81no—
303C4×C43—81no—
304C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
305C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
306C4×C43#57711yescharacteristic
307C4×C43#57711yescharacteristic
308#3367C2×C4311yescharacteristic, complemented
309#3353C2×C4311yescharacteristic, complemented
310D4×SD16C2×C4311yescharacteristic, complemented
311#3272C2×C4311yescharacteristic
312#1714C2×C4311yescharacteristic, complemented
313#1699C2×C4311yescharacteristic, complemented
314#1686C2×C4311yescharacteristic, complemented
315#1685C2×C4311yescharacteristic, complemented
316#1673C2×C4311yescharacteristic, complemented
317#1654C2×C4311yescharacteristic, complemented
318#1651C2×C4311yescharacteristic, complemented
319#1639C2×C4311yescharacteristic, complemented
320#1628C2×C4311yescharacteristic, complemented
321#1592C2×C4311yescharacteristic, complemented
322#1581C2×C4311yescharacteristic, complemented
323C2×C43—42no—
324C2×C43—81no—
325C2×C43—81no—
326C2×C43—161no—
327C2×C43#326511yescharacteristic
328C2×C43#327211yescharacteristic
329C2×C43#328911yescharacteristic
330C2×AGL(1,ℤ/8)—21no—
331C22×SD16—21no—
332#556C22×C4311yescharacteristic, complemented
333D4×Q8C22×C4311yescharacteristic
334#547C22×C4311yescharacteristic
335D42C22×C4311yescharacteristic
336#500C22×C4311yescharacteristic, complemented
337#498C22×C4311yescharacteristic, complemented
338#492C22×C4311yescharacteristic
339#492C22×C4311yescharacteristic
340#489—21no—
341#487C22×C4311yescharacteristic, complemented
342#486C22×C4311yescharacteristic
343#484—21no—
344#482—21no—
345#477—21no—
346#475C22×C4311yescharacteristic, complemented
347#474C22×C4311yescharacteristic
348#474C22×C4311yescharacteristic, complemented
349#468—21no—
350#468—21no—
351#465—21no—
352#463—21no—
353#461C22×C4311yescharacteristic
354#461C22×C4311yescharacteristic
355#461C22×C4311yescharacteristic
356#460C22×C4311yescharacteristic
357#459C22×C4311yescharacteristic
358#450—21no—
359#450—21no—
360#449—21no—
361#448—21no—
362#446C22×C4311yescharacteristic, complemented
363#440—21no—
364C4×SD16C22×C4311yescharacteristic
365C4×D8C22×C4311yescharacteristic
366#436C22×C4311yescharacteristic
367#436C22×C4311yescharacteristic, complemented
368C8×D4C22×C4311yescharacteristic
369#428—21no—
370#335C22×C4311yescharacteristic, complemented
371#335C22×C4311yescharacteristic, complemented
372#332C22×C4311yescharacteristic, complemented
373#332C22×C4311yescharacteristic, complemented
374#332C22×C4311yescharacteristic, complemented
375#331C22×C4311yescharacteristic
376Q8⋊C8C22×C4311yescharacteristic, complemented
377D4⋊C8C22×C4311yescharacteristic
378D4⋊C8C22×C4311yescharacteristic
379D4⋊C8C22×C4311yescharacteristic, complemented
380#322C22×C4311yescharacteristic, complemented
381C43#2019011yescharacteristic, direct product factor, Sylow
382C2×#41—21no—
383C22×Q8—21no—
384C22×D4—21no—
385C22×D4—21no—
386AGL(1,ℤ/8)—44no—
387C2×SD16—21no—
388C2×SD16—21no—
389C2×SD16—21no—
390C2×SD16—21no—
391C2×SD16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—44no—
396C2×SD16D4×C4311yescharacteristic
397C2×D8—21no—
398C2×D8D4×C4311yescharacteristic
399C2×M16—21no—
400C2×M16—21no—
401C22×C8—21no—
402C4⋊Q8—21no—
403C4⋊Q8C23×C4311yescharacteristic
404C4⋊Q8C23×C4311yescharacteristic
405C4⋊Q8C23×C4311yescharacteristic
406#127C23×C4311yescharacteristic
407#126—41no—
408#124—21no—
409#123—41no—
410C22⋊Q8—21no—
411C22⋊Q8—21no—
412C22⋊Q8—21no—
413C22⋊Q8—41no—
414#121—21no—
415#121—21no—
416#121—21no—
417#120—41no—
418C4×Q8—21no—
419C4×Q8C23×C4311yescharacteristic
420C4×D4—21no—
421C4×D4C23×C4311yescharacteristic
422C4×D4C23×C4311yescharacteristic
423C4×D4C23×C4311yescharacteristic
424#117—21no—
425C2×C4⋊C4—21no—
426#107—21no—
427#107—21no—
428#107—21no—
429#107—21no—
430#107D4×C4311yescharacteristic
431#106—21no—
432#106—41no—
433#106D4×C4311yescharacteristic
434C4⋊C8—21no—
435C4⋊C8C23×C4311yescharacteristic
436C4⋊C8C23×C4311yescharacteristic
437C4⋊C8C23×C4311yescharacteristic
438C4⋊C8C23×C4311yescharacteristic
439#103—21no—
440#103—21no—
441#103—21no—
442#103—21no—
443#103—21no—
444#103—21no—
445#103D4×C4311yescharacteristic
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—41no—
451#102D4×C4311yescharacteristic
452#102D4×C4311yescharacteristic
453#102D4×C4311yescharacteristic
454C22⋊C8—21no—
455C22⋊C8—21no—
456C22⋊C8—21no—
457#97—21no—
458C4×C8C23×C4311yescharacteristic
459C4×C8C23×C4311yescharacteristic
460C4×C8C23×C4311yescharacteristic
461C24—41no—
462#41—42no—
463#41—81no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—41no—
468C2×Q8—42no—
469C2×Q8—81no—
470C2×Q8C2×D4×C4311yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4C2×D4×C4311yescharacteristic
482C2×D4C2×D4×C4311yescharacteristic
483C2×D4C2×D4×C4311yescharacteristic
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—41no—
488C22×C4—41no—
489SD16—22no—
490SD16—42no—
491SD16—42no—
492SD16—42no—
493SD16—42no—
494SD16—42no—
495SD16—42no—
496SD16—81no—
497SD16—81no—
498D8—22no—
499D8—42no—
500M16—42no—
501M16—42no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—42no—
508C2×C8C2×D4×C4311yescharacteristic
509C2×C8C2×D4×C4311yescharacteristic
510C2×C8C2×D4×C4311yescharacteristic
511C2×C8C2×D4×C4311yescharacteristic
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—41no—
520C4⋊C4—41no—
521C4⋊C4—41no—
522C4⋊C4C2×D4×C4311yescharacteristic
523C4⋊C4C2×D4×C4311yescharacteristic
524C4⋊C4C2×D4×C4311yescharacteristic
525C4⋊C4C2×D4×C4311yescharacteristic
526C22⋊C4—21no—
527C22⋊C4—21no—
528C22⋊C4—21no—
529C22⋊C4—41no—
530C22⋊C4—41no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C42—21no—
535C42—41no—
536C42C24×C4311yescharacteristic
537C23—21no—
538C23—21no—
539C23—21no—
540C23—41no—
541C23—82no—
542C23—82no—
543C23—161no—
544Q8—21no—
545Q8—21no—
546Q8—41no—
547Q8—41no—
548Q8—41no—
549Q8—41no—
550Q8—41no—
551Q8—41no—
552Q8—82no—
553D4—21no—
554D4—21no—
555D4—21no—
556D4—21no—
557D4—21no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—81no—
563D4—82no—
564D4—82no—
565D4—82no—
566D4AGL(1,ℤ/8)×C4312yes—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—82no—
582C2×C4—82no—
583C2×C4C22×D4×C4311yescharacteristic
584C2×C4C22×D4×C4311yescharacteristic
585C2×C4H(5,𝔽2)×C4311yescharacteristic
586C8—21no—
587C8—21no—
588C8—21no—
589C8—41no—
590C8—41no—
591C8—41no—
592C8—41no—
593C8—41no—
594C8AGL(1,ℤ/8)×C4312yescomplemented
595C22—22no—
596C22—41no—
597C22—41no—
598C22—41no—
599C22—41no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—81no—
605C22—81no—
606C22—81no—
607C22—164no—
608C22D42×C4311yescharacteristic
609C4—21no—
610C4—41no—
611C4—41no—
612C4—41no—
613C4—41no—
614C4—41no—
615C4—81no—
616C4—81no—
617C4—81no—
618C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
619C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
620C4C43×#57711yescharacteristic
621C4C43×#57711yescharacteristic
622C2—42no—
623C2—81no—
624C2—81no—
625C2—161no—
626C2C43×#326511yescharacteristic
627C2C43×#327211yescharacteristic
628C2C43×#328911yescharacteristic
subgroupG/H
center, socleC22×C43D42
commutator, Frattini, cosocleC42C24×C43
prime radicalC43×#3272C2
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×#3367C2semidirect
2. C43×#3353C2semidirect
3. D4×SD16×C43C2semidirect
5. C43×#1714C2semidirect
6. C43×#1699C2semidirect
7. C43×#1686C2semidirect
8. C43×#1685C2semidirect
9. C43×#1673C2semidirect
10. C43×#1654C2semidirect
11. C43×#1651C2semidirect
12. C43×#1639C2semidirect
13. C43×#1628C2semidirect
14. C43×#1592C2semidirect
15. C43×#1581C2semidirect
18. C43×#556C22semidirect
22. C43×#500C22semidirect
23. C43×#498C22semidirect
27. C43×#487C22semidirect
32. C43×#475C22semidirect
34. C43×#474C22semidirect
48. C43×#446C22semidirect
53. C43×#436C22semidirect
56. C43×#335C22semidirect
57. C43×#335C22semidirect
58. C43×#332C22semidirect
59. C43×#332C22semidirect
60. C43×#332C22semidirect
62. C43×Q8⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
279. C8×C43AGL(1,ℤ/8)semidirect
280. #20190C43direct (N × H)
308. #3367C2×C43semidirect
309. #3353C2×C43semidirect
310. D4×SD16C2×C43semidirect
312. #1714C2×C43semidirect
313. #1699C2×C43semidirect
314. #1686C2×C43semidirect
315. #1685C2×C43semidirect
316. #1673C2×C43semidirect
317. #1654C2×C43semidirect
318. #1651C2×C43semidirect
319. #1639C2×C43semidirect
320. #1628C2×C43semidirect
321. #1592C2×C43semidirect
322. #1581C2×C43semidirect
332. #556C22×C43semidirect
336. #500C22×C43semidirect
337. #498C22×C43semidirect
341. #487C22×C43semidirect
346. #475C22×C43semidirect
348. #474C22×C43semidirect
362. #446C22×C43semidirect
367. #436C22×C43semidirect
370. #335C22×C43semidirect
371. #335C22×C43semidirect
372. #332C22×C43semidirect
373. #332C22×C43semidirect
374. #332C22×C43semidirect
376. Q8⋊C8C22×C43semidirect
379. D4⋊C8C22×C43semidirect
380. #322C22×C43semidirect
381. C43#20190direct (N × H)
594. 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×#33672
C43×#33532
D4×SD16×C432
C43×#32722
C43×#17142
C43×#16992
C43×#16862
C43×#16852
C43×#16732
C43×#16542
C43×#16512
C43×#16392
C43×#16282
C43×#15922
C43×#15812
#2019043