Finite Group Databasebeta

← C43×#19819 #24939836

Subgroups — C43×#19819 #24939836

Order 11008.

702 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3358C211yesmaximal, characteristic, complemented
2C43×#3325C211yesmaximal, characteristic, complemented
3C43×#3305C211yesmaximal, characteristic, complemented
4D4×SD16×C43C211yesmaximal, characteristic, complemented
5C43×#1717C211yesmaximal, characteristic, complemented
6C43×#1701C211yesmaximal, characteristic, complemented
7C43×#1678C211yesmaximal, characteristic, complemented
8C43×#1677C211yesmaximal, characteristic, complemented
9C43×#1665C211yesmaximal, characteristic, complemented
10C43×#1646C211yesmaximal, characteristic, complemented
11C43×#1637C211yesmaximal, characteristic, complemented
12C43×#1621C211yesmaximal, characteristic, complemented
13C43×#1619C211yesmaximal, characteristic, complemented
14C43×#1583C211yesmaximal, characteristic, complemented
15C43×#1580C211yesmaximal, characteristic, complemented
16C22×SD16×C43—21no—
17C43×#555C2211yescharacteristic
18C43×#550C2211yescharacteristic, complemented
19D4×Q8×C43C2211yescharacteristic
20D42×C43C2211yescharacteristic
21C43×#493C2211yescharacteristic
22C43×#492C2211yescharacteristic
23C43×#487C2211yescharacteristic, complemented
24C43×#486—21no—
25C43×#486C2211yescharacteristic
26C43×#486C2211yescharacteristic, complemented
27C43×#486C2211yescharacteristic, complemented
28C43×#482—21no—
29C43×#482—21no—
30C43×#477C2211yescharacteristic, complemented
31C43×#476C2211yescharacteristic
32C43×#474—21no—
33C43×#474C2211yescharacteristic, complemented
34C43×#469—21no—
35C43×#466—21no—
36C43×#465—21no—
37C43×#461C2211yescharacteristic
38C43×#460C2211yescharacteristic
39C43×#459—21no—
40C43×#459C2211yescharacteristic
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#450—21no—
44C43×#449—21no—
45C43×#448—21no—
46C43×#447—21no—
47C8×Q8×C43C2211yescharacteristic, complemented
48C4×SD16×C43C2211yescharacteristic
49C4×D8×C43—21no—
50C4×D8×C43C2211yescharacteristic
51C43×#436C2211yescharacteristic
52C8×D4×C43C2211yescharacteristic
53C8×D4×C43C2211yescharacteristic, complemented
54C43×#418—21no—
55C43×#416—21no—
56C43×#334C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#333C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic
61C43×#331C2211yescharacteristic, complemented
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—
71C2×SD16×C43—21no—
72C2×SD16×C43—21no—
73C2×SD16×C43—21no—
74C2×SD16×C43—21no—
75C2×SD16×C43—44no—
76C2×SD16×C43D411yescharacteristic
77C2×D8×C43—21no—
78C2×D8×C43—21no—
79C2×D8×C43—21no—
80C2×D8×C43—41no—
81C2×D8×C43D411yescharacteristic
82C2×M16×C43—21no—
83C22×C8×C43—21no—
84C22×C8×C43—21no—
85C4⋊Q8×C43—21no—
86C4⋊Q8×C43C2311yescharacteristic
87C4⋊Q8×C43C2311yescharacteristic
88#127×C43—21no—
89#127×C43C2311yescharacteristic
90#127×C43C2311yescharacteristic
91#124×C43—41no—
92C22⋊Q8×C43—21no—
93C22⋊Q8×C43—41no—
94#121×C43—21no—
95#121×C43—21no—
96#121×C43—21no—
97#121×C43—21no—
98#121×C43—21no—
99#121×C43—41no—
100#120×C43—41no—
101C4×Q8×C43C2311yescharacteristic
102C4×D4×C43—21no—
103C4×D4×C43—21no—
104C4×D4×C43C2311yescharacteristic
105C4×D4×C43C2311yescharacteristic
106C4×D4×C43C2311yescharacteristic
107#117×C43—21no—
108#117×C43—21no—
109#107×C43—21no—
110#107×C43—21no—
111#107×C43D411yescharacteristic
112#106×C43—21no—
113#106×C43D411yescharacteristic
114C4⋊C8×C43—21no—
115C4⋊C8×C43C2311yescharacteristic
116C4⋊C8×C43C2311yescharacteristic
117C4⋊C8×C43C2311yescharacteristic
118C4⋊C8×C43C2311yescharacteristic
119#103×C43—21no—
120#103×C43—21no—
121#103×C43—41no—
122#103×C43D411yescharacteristic
123#102×C43—21no—
124#102×C43—21no—
125#102×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×C43D411yescharacteristic
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141C4×C8×C43—21no—
142C4×C8×C43C2311yescharacteristic
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C24×C43—41no—
146#41×C43—42no—
147#41×C43—81no—
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—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—81no—
182D8×C43—22no—
183D8×C43—42no—
184D8×C43—81no—
185D8×C43—81no—
186D8×C43—82no—
187M16×C43—81no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—42no—
194C2×C8×C43—81no—
195C2×C8×C43C2×D411yescharacteristic
196C2×C8×C43C2×D411yescharacteristic
197C2×C8×C43C2×D411yescharacteristic
198C2×C8×C43C2×D411yescharacteristic
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×C43C2×D411yescharacteristic
206C4⋊C4×C43C2×D411yescharacteristic
207C4⋊C4×C43C2×D411yescharacteristic
208C4⋊C4×C43C2×D411yescharacteristic
209C22⋊C4×C43—21no—
210C22⋊C4×C43—21no—
211C22⋊C4×C43—21no—
212C22⋊C4×C43—41no—
213C22⋊C4×C43—41no—
214C22⋊C4×C43—41no—
215C22⋊C4×C43—41no—
216C22⋊C4×C43—41no—
217C42×C43—21no—
218C42×C43—41no—
219C42×C43C2411yescharacteristic
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—41no—
224C23×C43—41no—
225C23×C43—82no—
226C23×C43—82no—
227C23×C43—161no—
228Q8×C43—21no—
229Q8×C43—41no—
230Q8×C43—41no—
231Q8×C43—82no—
232Q8×C43—81no—
233Q8×C43AGL(1,ℤ/8)12yes—
234D4×C43—21no—
235D4×C43—21no—
236D4×C43—21no—
237D4×C43—21no—
238D4×C43—21no—
239D4×C43—41no—
240D4×C43—41no—
241D4×C43—41no—
242D4×C43—41no—
243D4×C43—41no—
244D4×C43—41no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—82no—
248D4×C43—81no—
249D4×C43—81no—
250D4×C43—82no—
251D4×C43—82no—
252D4×C43—161no—
253D4×C43—161no—
254D4×C43#13512yes—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
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—41no—
267C2×C4×C43—41no—
268C2×C4×C43—82no—
269C2×C4×C43—82no—
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C8×C43—21no—
274C8×C43—21no—
275C8×C43—21no—
276C8×C43—21no—
277C8×C43—41no—
278C8×C43—41no—
279C8×C43—41no—
280C8×C43—41no—
281C8×C43—41no—
282#19819C4311yesmaximal, characteristic, direct product factor, Sylow
283C22×C43—22no—
284C22×C43—41no—
285C22×C43—41no—
286C22×C43—41no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—81no—
293C22×C43—81no—
294C22×C43—81no—
295C22×C43—81no—
296C22×C43—81no—
297C22×C43—81no—
298C22×C43—164no—
299C22×C43D4211yescharacteristic
300C4×C43—22no—
301C4×C43—21no—
302C4×C43—41no—
303C4×C43—41no—
304C4×C43—41no—
305C4×C43—41no—
306C4×C43—81no—
307C4×C43—81no—
308C4×C43C2×#13511yescharacteristic
309C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
310C4×C43#57611yescharacteristic
311C4×C43#57711yescharacteristic
312#3358C2×C4311yescharacteristic, complemented
313#3325C2×C4311yescharacteristic, complemented
314#3305C2×C4311yescharacteristic, complemented
315D4×SD16C2×C4311yescharacteristic, complemented
316#1717C2×C4311yescharacteristic, complemented
317#1701C2×C4311yescharacteristic, complemented
318#1678C2×C4311yescharacteristic, complemented
319#1677C2×C4311yescharacteristic, complemented
320#1665C2×C4311yescharacteristic, complemented
321#1646C2×C4311yescharacteristic, complemented
322#1637C2×C4311yescharacteristic, complemented
323#1621C2×C4311yescharacteristic, complemented
324#1619C2×C4311yescharacteristic, complemented
325#1583C2×C4311yescharacteristic, complemented
326#1580C2×C4311yescharacteristic, complemented
327C2×C43—42no—
328C2×C43—81no—
329C2×C43—81no—
330C2×C43—161no—
331C2×C43—161no—
332C2×C43#326411yescharacteristic
333C2×C43#328211yescharacteristic
334C2×C43#328811yescharacteristic
335C22×SD16—21no—
336#555C22×C4311yescharacteristic
337#550C22×C4311yescharacteristic, complemented
338D4×Q8C22×C4311yescharacteristic
339D42C22×C4311yescharacteristic
340#493C22×C4311yescharacteristic
341#492C22×C4311yescharacteristic
342#487C22×C4311yescharacteristic, complemented
343#486—21no—
344#486C22×C4311yescharacteristic
345#486C22×C4311yescharacteristic, complemented
346#486C22×C4311yescharacteristic, complemented
347#482—21no—
348#482—21no—
349#477C22×C4311yescharacteristic, complemented
350#476C22×C4311yescharacteristic
351#474—21no—
352#474C22×C4311yescharacteristic, complemented
353#469—21no—
354#466—21no—
355#465—21no—
356#461C22×C4311yescharacteristic
357#460C22×C4311yescharacteristic
358#459—21no—
359#459C22×C4311yescharacteristic
360#459C22×C4311yescharacteristic
361#459C22×C4311yescharacteristic
362#450—21no—
363#449—21no—
364#448—21no—
365#447—21no—
366C8×Q8C22×C4311yescharacteristic, complemented
367C4×SD16C22×C4311yescharacteristic
368C4×D8—21no—
369C4×D8C22×C4311yescharacteristic
370#436C22×C4311yescharacteristic
371C8×D4C22×C4311yescharacteristic
372C8×D4C22×C4311yescharacteristic, complemented
373#418—21no—
374#416—21no—
375#334C22×C4311yescharacteristic, complemented
376#334C22×C4311yescharacteristic, complemented
377#333C22×C4311yescharacteristic, complemented
378#332C22×C4311yescharacteristic, complemented
379#331C22×C4311yescharacteristic
380#331C22×C4311yescharacteristic, complemented
381Q8⋊C8C22×C4311yescharacteristic, complemented
382D4⋊C8C22×C4311yescharacteristic
383D4⋊C8C22×C4311yescharacteristic
384D4⋊C8C22×C4311yescharacteristic, complemented
385#322C22×C4311yescharacteristic, complemented
386C43#1981911yescharacteristic, direct product factor, Sylow
387C2×#41—21no—
388C22×Q8—21no—
389C22×D4—21no—
390C22×D4—21no—
391C2×SD16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—44no—
396C2×SD16D4×C4311yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—41no—
401C2×D8D4×C4311yescharacteristic
402C2×M16—21no—
403C22×C8—21no—
404C22×C8—21no—
405C4⋊Q8—21no—
406C4⋊Q8C23×C4311yescharacteristic
407C4⋊Q8C23×C4311yescharacteristic
408#127—21no—
409#127C23×C4311yescharacteristic
410#127C23×C4311yescharacteristic
411#124—41no—
412C22⋊Q8—21no—
413C22⋊Q8—41no—
414#121—21no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—41no—
420#120—41no—
421C4×Q8C23×C4311yescharacteristic
422C4×D4—21no—
423C4×D4—21no—
424C4×D4C23×C4311yescharacteristic
425C4×D4C23×C4311yescharacteristic
426C4×D4C23×C4311yescharacteristic
427#117—21no—
428#117—21no—
429#107—21no—
430#107—21no—
431#107D4×C4311yescharacteristic
432#106—21no—
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—41no—
442#103D4×C4311yescharacteristic
443#102—21no—
444#102—21no—
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102D4×C4311yescharacteristic
456#102D4×C4311yescharacteristic
457#102D4×C4311yescharacteristic
458C22⋊C8—21no—
459C22⋊C8—21no—
460C22⋊C8—21no—
461C4×C8—21no—
462C4×C8C23×C4311yescharacteristic
463C4×C8C23×C4311yescharacteristic
464C4×C8C23×C4311yescharacteristic
465C24—41no—
466#41—42no—
467#41—81no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—41no—
471C2×Q8—42no—
472C2×Q8—81no—
473C2×Q8C2×D4×C4311yescharacteristic
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—41no—
487C2×D4—81no—
488C2×D4—81no—
489C2×D4C2×D4×C4311yescharacteristic
490C2×D4C2×D4×C4311yescharacteristic
491C2×D4C2×D4×C4311yescharacteristic
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—41no—
496C22×C4—41no—
497SD16—22no—
498SD16—42no—
499SD16—42no—
500SD16—42no—
501SD16—81no—
502D8—22no—
503D8—42no—
504D8—81no—
505D8—81no—
506D8—82no—
507M16—81no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—42no—
514C2×C8—81no—
515C2×C8C2×D4×C4311yescharacteristic
516C2×C8C2×D4×C4311yescharacteristic
517C2×C8C2×D4×C4311yescharacteristic
518C2×C8C2×D4×C4311yescharacteristic
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—41no—
525C4⋊C4C2×D4×C4311yescharacteristic
526C4⋊C4C2×D4×C4311yescharacteristic
527C4⋊C4C2×D4×C4311yescharacteristic
528C4⋊C4C2×D4×C4311yescharacteristic
529C22⋊C4—21no—
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C42—21no—
538C42—41no—
539C42C24×C4311yescharacteristic
540C23—21no—
541C23—21no—
542C23—21no—
543C23—41no—
544C23—41no—
545C23—82no—
546C23—82no—
547C23—161no—
548Q8—21no—
549Q8—41no—
550Q8—41no—
551Q8—82no—
552Q8—81no—
553Q8AGL(1,ℤ/8)×C4312yes—
554D4—21no—
555D4—21no—
556D4—21no—
557D4—21no—
558D4—21no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—82no—
568D4—81no—
569D4—81no—
570D4—82no—
571D4—82no—
572D4—161no—
573D4—161no—
574D4#135×C4312yes—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—41no—
581C2×C4—41no—
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×C4C22×D4×C4311yescharacteristic
591C2×C4C22×D4×C4311yescharacteristic
592C2×C4H(5,𝔽2)×C4311yescharacteristic
593C8—21no—
594C8—21no—
595C8—21no—
596C8—21no—
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C22—22no—
603C22—41no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—81no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—164no—
618C22D42×C4311yescharacteristic
619C4—22no—
620C4—21no—
621C4—41no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—81no—
626C4—81no—
627C4C2×#135×C4311yescharacteristic
628C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
629C4C43×#57611yescharacteristic
630C4C43×#57711yescharacteristic
631C2—42no—
632C2—81no—
633C2—81no—
634C2—161no—
635C2—161no—
636C2C43×#326411yescharacteristic
637C2C43×#328211yescharacteristic
638C2C43×#328811yescharacteristic
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×#3358C2semidirect
2. C43×#3325C2semidirect
3. C43×#3305C2semidirect
4. D4×SD16×C43C2semidirect
5. C43×#1717C2semidirect
6. C43×#1701C2semidirect
7. C43×#1678C2semidirect
8. C43×#1677C2semidirect
9. C43×#1665C2semidirect
10. C43×#1646C2semidirect
11. C43×#1637C2semidirect
12. C43×#1621C2semidirect
13. C43×#1619C2semidirect
14. C43×#1583C2semidirect
15. C43×#1580C2semidirect
18. C43×#550C22semidirect
23. C43×#487C22semidirect
26. C43×#486C22semidirect
27. C43×#486C22semidirect
30. C43×#477C22semidirect
33. C43×#474C22semidirect
47. C8×Q8×C43C22semidirect
53. C8×D4×C43C22semidirect
56. C43×#334C22semidirect
57. C43×#334C22semidirect
58. C43×#333C22semidirect
59. C43×#332C22semidirect
61. C43×#331C22semidirect
62. C43×Q8⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
282. #19819C43direct (N × H)
312. #3358C2×C43semidirect
313. #3325C2×C43semidirect
314. #3305C2×C43semidirect
315. D4×SD16C2×C43semidirect
316. #1717C2×C43semidirect
317. #1701C2×C43semidirect
318. #1678C2×C43semidirect
319. #1677C2×C43semidirect
320. #1665C2×C43semidirect
321. #1646C2×C43semidirect
322. #1637C2×C43semidirect
323. #1621C2×C43semidirect
324. #1619C2×C43semidirect
325. #1583C2×C43semidirect
326. #1580C2×C43semidirect
337. #550C22×C43semidirect
342. #487C22×C43semidirect
345. #486C22×C43semidirect
346. #486C22×C43semidirect
349. #477C22×C43semidirect
352. #474C22×C43semidirect
366. C8×Q8C22×C43semidirect
372. C8×D4C22×C43semidirect
375. #334C22×C43semidirect
376. #334C22×C43semidirect
377. #333C22×C43semidirect
378. #332C22×C43semidirect
380. #331C22×C43semidirect
381. Q8⋊C8C22×C43semidirect
384. D4⋊C8C22×C43semidirect
385. #322C22×C43semidirect
386. C43#19819direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#33582
C43×#33252
C43×#33052
D4×SD16×C432
C43×#17172
C43×#17012
C43×#16782
C43×#16772
C43×#16652
C43×#16462
C43×#16372
C43×#16212
C43×#16192
C43×#15832
C43×#15802
#1981943