Finite Group Databasebeta

← C43×#19773 #24939790

Subgroups — C43×#19773 #24939790

Order 11008.

712 conjugacy classes of subgroups.

The subgroup lattice has 642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3360C211yesmaximal, characteristic, complemented
2C43×#3324C211yesmaximal, characteristic, complemented
3C43×#3295C211yesmaximal, characteristic, complemented
4D4×D8×C43C211yesmaximal, characteristic
5C43×#1717C211yesmaximal, characteristic, complemented
6C43×#1697C211yesmaximal, characteristic, complemented
7C43×#1683C211yesmaximal, characteristic, complemented
8C43×#1681C211yesmaximal, characteristic, complemented
9C43×#1668C211yesmaximal, characteristic, complemented
10C43×#1639C211yesmaximal, characteristic, complemented
11C43×#1629C211yesmaximal, characteristic, complemented
12C43×#1628C211yesmaximal, characteristic, complemented
13C43×#1622C211yesmaximal, characteristic, complemented
14C43×#1581C211yesmaximal, characteristic, complemented
15C43×SD16⋊C8C211yesmaximal, characteristic, complemented
16C22×D8×C43—21no—
17C43×#556C2211yescharacteristic, complemented
18C43×#554C2211yescharacteristic, complemented
19D42×C43C2211yescharacteristic
20D42×C43C2211yescharacteristic
21C43×#493C2211yescharacteristic
22C43×#492C2211yescharacteristic, complemented
23C43×#488—21no—
24C43×#487C2211yescharacteristic, complemented
25C43×#486C2211yescharacteristic, complemented
26C43×#486C2211yescharacteristic, complemented
27C43×#486C2211yescharacteristic, complemented
28C43×#482—21no—
29C43×#481—21no—
30C43×#479—21no—
31C43×#476C2211yescharacteristic
32C43×#476C2211yescharacteristic, complemented
33C43×#474C2211yescharacteristic
34C43×#468—21no—
35C43×#466—21no—
36C43×#465—21no—
37C43×#463—21no—
38C43×#461C2211yescharacteristic, complemented
39C43×#460C2211yescharacteristic, complemented
40C43×#460C2211yescharacteristic, complemented
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#450—21no—
44C43×#450—21no—
45C43×#447—21no—
46C43×#447—21no—
47C8×Q8×C43C2211yescharacteristic, complemented
48C4×SD16×C43—21no—
49C4×SD16×C43C2211yescharacteristic
50C4×D8×C43C2211yescharacteristic
51C43×#436C2211yescharacteristic, complemented
52C8×D4×C43C2211yescharacteristic
53C8×D4×C43C2211yescharacteristic, complemented
54C43×#418—21no—
55C2×#102×C43—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#335C2211yescharacteristic, complemented
58C43×#333C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic, complemented
62C43×Q8⋊C8C2211yescharacteristic, complemented
63C43×D4⋊C8C2211yescharacteristic
64C43×D4⋊C8C2211yescharacteristic, complemented
65C43×D4⋊C8C2211yescharacteristic, complemented
66C43×#322C2211yescharacteristic, complemented
67C22×D4×C43—21no—
68C22×D4×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—41no—
75C2×SD16×C43D411yescharacteristic
76C2×D8×C43—21no—
77C2×D8×C43—21no—
78C2×D8×C43—21no—
79C2×D8×C43—21no—
80C2×D8×C43—44no—
81C2×D8×C43D411yescharacteristic
82C2×M16×C43—21no—
83C22×C8×C43—21no—
84C22×C8×C43—21no—
85C4⋊Q8×C43C2311yescharacteristic
86C4⋊Q8×C43C2311yescharacteristic
87#127×C43C2311yescharacteristic
88#127×C43C2311yescharacteristic
89#126×C43—41no—
90#125×C43—21no—
91#124×C43—21no—
92C22⋊Q8×C43—21no—
93C22⋊Q8×C43—21no—
94C22⋊Q8×C43—41no—
95#121×C43—21no—
96#121×C43—21no—
97#121×C43—21no—
98#121×C43—21no—
99#120×C43—41no—
100#120×C43—41no—
101C4×Q8×C43—21no—
102C4×Q8×C43C2311yescharacteristic
103C4×D4×C43—21no—
104C4×D4×C43C2311yescharacteristic
105C4×D4×C43C2311yescharacteristic
106C4×D4×C43C2311yescharacteristic
107#117×C43—21no—
108C2×C4⋊C4×C43—21no—
109#107×C43—21no—
110#107×C43D411yescharacteristic
111#106×C43—21no—
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—21no—
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—41no—
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—
146C24×C43—41no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43C2×D411yescharacteristic
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—41no—
157C2×D4×C43—41no—
158C2×D4×C43—41no—
159C2×D4×C43—41no—
160C2×D4×C43—42no—
161C2×D4×C43—42no—
162C2×D4×C43—42no—
163C2×D4×C43—42no—
164C2×D4×C43—81no—
165C2×D4×C43—81no—
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—
175SD16×C43—22no—
176SD16×C43—42no—
177SD16×C43—81no—
178SD16×C43—81no—
179SD16×C43—82no—
180D8×C43—22no—
181D8×C43—42no—
182D8×C43—42no—
183D8×C43—42no—
184D8×C43—81no—
185M16×C43—81no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43—21no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—42no—
192C2×C8×C43—81no—
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—41no—
203C4⋊C4×C43—41no—
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—82no—
228C23×C43—82no—
229C23×C43—161no—
230C23×C43—161no—
231Q8×C43—21no—
232Q8×C43—21no—
233Q8×C43—41no—
234Q8×C43—41no—
235Q8×C43—81no—
236D4×C43—21no—
237D4×C43—21no—
238D4×C43—21no—
239D4×C43—21no—
240D4×C43—41no—
241D4×C43—41no—
242D4×C43—41no—
243D4×C43—41no—
244D4×C43—41no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—81no—
249D4×C43—81no—
250D4×C43—82no—
251D4×C43—82no—
252D4×C43—82no—
253D4×C43—82no—
254D4×C43#13512yes—
255D4×C43AGL(1,ℤ/8)12yes—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
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—41no—
269C2×C4×C43—161no—
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#19773C4311yesmaximal, characteristic, direct product factor, Sylow
283C22×C43—22no—
284C22×C43—22no—
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×C43—164no—
300C22×C43D4211yescharacteristic
301C4×C43—21no—
302C4×C43—41no—
303C4×C43—41no—
304C4×C43—41no—
305C4×C43—41no—
306C4×C43—41no—
307C4×C43—81no—
308C4×C43—81no—
309C4×C43C2×#13511yescharacteristic
310C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
311C4×C43#57611yescharacteristic
312C4×C43#57711yescharacteristic
313#3360C2×C4311yescharacteristic, complemented
314#3324C2×C4311yescharacteristic, complemented
315#3295C2×C4311yescharacteristic, complemented
316D4×D8C2×C4311yescharacteristic
317#1717C2×C4311yescharacteristic, complemented
318#1697C2×C4311yescharacteristic, complemented
319#1683C2×C4311yescharacteristic, complemented
320#1681C2×C4311yescharacteristic, complemented
321#1668C2×C4311yescharacteristic, complemented
322#1639C2×C4311yescharacteristic, complemented
323#1629C2×C4311yescharacteristic, complemented
324#1628C2×C4311yescharacteristic, complemented
325#1622C2×C4311yescharacteristic, complemented
326#1581C2×C4311yescharacteristic, complemented
327SD16⋊C8C2×C4311yescharacteristic, complemented
328C2×C43—42no—
329C2×C43—42no—
330C2×C43—81no—
331C2×C43—161no—
332C2×C43—161no—
333C2×C43#326511yescharacteristic
334C2×C43#328011yescharacteristic
335C2×C43#328811yescharacteristic
336C22×D8—21no—
337#556C22×C4311yescharacteristic, complemented
338#554C22×C4311yescharacteristic, complemented
339D42C22×C4311yescharacteristic
340D42C22×C4311yescharacteristic
341#493C22×C4311yescharacteristic
342#492C22×C4311yescharacteristic, complemented
343#488—21no—
344#487C22×C4311yescharacteristic, complemented
345#486C22×C4311yescharacteristic, complemented
346#486C22×C4311yescharacteristic, complemented
347#486C22×C4311yescharacteristic, complemented
348#482—21no—
349#481—21no—
350#479—21no—
351#476C22×C4311yescharacteristic
352#476C22×C4311yescharacteristic, complemented
353#474C22×C4311yescharacteristic
354#468—21no—
355#466—21no—
356#465—21no—
357#463—21no—
358#461C22×C4311yescharacteristic, complemented
359#460C22×C4311yescharacteristic, complemented
360#460C22×C4311yescharacteristic, complemented
361#459C22×C4311yescharacteristic
362#459C22×C4311yescharacteristic
363#450—21no—
364#450—21no—
365#447—21no—
366#447—21no—
367C8×Q8C22×C4311yescharacteristic, complemented
368C4×SD16—21no—
369C4×SD16C22×C4311yescharacteristic
370C4×D8C22×C4311yescharacteristic
371#436C22×C4311yescharacteristic, complemented
372C8×D4C22×C4311yescharacteristic
373C8×D4C22×C4311yescharacteristic, complemented
374#418—21no—
375C2×#102—21no—
376#335C22×C4311yescharacteristic, complemented
377#335C22×C4311yescharacteristic, complemented
378#333C22×C4311yescharacteristic, complemented
379#332C22×C4311yescharacteristic, complemented
380#331C22×C4311yescharacteristic, complemented
381#331C22×C4311yescharacteristic, complemented
382Q8⋊C8C22×C4311yescharacteristic, complemented
383D4⋊C8C22×C4311yescharacteristic
384D4⋊C8C22×C4311yescharacteristic, complemented
385D4⋊C8C22×C4311yescharacteristic, complemented
386#322C22×C4311yescharacteristic, complemented
387C43#1977311yescharacteristic, direct product factor, Sylow
388C22×D4—21no—
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—41no—
396C2×SD16D4×C4311yescharacteristic
397C2×D8—21no—
398C2×D8—21no—
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—44no—
402C2×D8D4×C4311yescharacteristic
403C2×M16—21no—
404C22×C8—21no—
405C22×C8—21no—
406C4⋊Q8C23×C4311yescharacteristic
407C4⋊Q8C23×C4311yescharacteristic
408#127C23×C4311yescharacteristic
409#127C23×C4311yescharacteristic
410#126—41no—
411#125—21no—
412#124—21no—
413C22⋊Q8—21no—
414C22⋊Q8—21no—
415C22⋊Q8—41no—
416#121—21no—
417#121—21no—
418#121—21no—
419#121—21no—
420#120—41no—
421#120—41no—
422C4×Q8—21no—
423C4×Q8C23×C4311yescharacteristic
424C4×D4—21no—
425C4×D4C23×C4311yescharacteristic
426C4×D4C23×C4311yescharacteristic
427C4×D4C23×C4311yescharacteristic
428#117—21no—
429C2×C4⋊C4—21no—
430#107—21no—
431#107D4×C4311yescharacteristic
432#106—21no—
433#106—21no—
434#106D4×C4311yescharacteristic
435C4⋊C8—21no—
436C4⋊C8C23×C4311yescharacteristic
437C4⋊C8C23×C4311yescharacteristic
438C4⋊C8C23×C4311yescharacteristic
439C4⋊C8C23×C4311yescharacteristic
440#103—21no—
441#103—21no—
442#103—21no—
443#103D4×C4311yescharacteristic
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#102—41no—
456#102D4×C4311yescharacteristic
457#102D4×C4311yescharacteristic
458#102D4×C4311yescharacteristic
459C22⋊C8—21no—
460C22⋊C8—21no—
461C22⋊C8—21no—
462C4×C8—21no—
463C4×C8C23×C4311yescharacteristic
464C4×C8C23×C4311yescharacteristic
465C4×C8C23×C4311yescharacteristic
466C24—41no—
467C24—41no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×D4×C4311yescharacteristic
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
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—
496SD16—22no—
497SD16—42no—
498SD16—81no—
499SD16—81no—
500SD16—82no—
501D8—22no—
502D8—42no—
503D8—42no—
504D8—42no—
505D8—81no—
506M16—81no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8—81no—
514C2×C8C2×D4×C4311yescharacteristic
515C2×C8C2×D4×C4311yescharacteristic
516C2×C8C2×D4×C4311yescharacteristic
517C2×C8C2×D4×C4311yescharacteristic
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C4311yescharacteristic
527C4⋊C4C2×D4×C4311yescharacteristic
528C4⋊C4C2×D4×C4311yescharacteristic
529C4⋊C4C2×D4×C4311yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—21no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C42—21no—
539C42—41no—
540C42C24×C4311yescharacteristic
541C23—21no—
542C23—21no—
543C23—21no—
544C23—41no—
545C23—41no—
546C23—82no—
547C23—82no—
548C23—82no—
549C23—82no—
550C23—161no—
551C23—161no—
552Q8—21no—
553Q8—21no—
554Q8—41no—
555Q8—41no—
556Q8—81no—
557D4—21no—
558D4—21no—
559D4—21no—
560D4—21no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—81no—
570D4—81no—
571D4—82no—
572D4—82no—
573D4—82no—
574D4—82no—
575D4#135×C4312yes—
576D4AGL(1,ℤ/8)×C4312yes—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—161no—
591C2×C4C22×D4×C4311yescharacteristic
592C2×C4C22×D4×C4311yescharacteristic
593C2×C4H(5,𝔽2)×C4311yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—21no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8—41no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—81no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—164no—
619C22—164no—
620C22D42×C4311yescharacteristic
621C4—21no—
622C4—41no—
623C4—41no—
624C4—41no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4C2×#135×C4311yescharacteristic
630C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
631C4C43×#57611yescharacteristic
632C4C43×#57711yescharacteristic
633C2—42no—
634C2—42no—
635C2—81no—
636C2—161no—
637C2—161no—
638C2C43×#326511yescharacteristic
639C2C43×#328011yescharacteristic
640C2C43×#328811yescharacteristic
subgroupG/H
center, socleC22×C43D42
commutator, Frattini, cosocleC42C24×C43
prime radicalD4×D8×C43C2
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×#3360C2semidirect
2. C43×#3324C2semidirect
3. C43×#3295C2semidirect
5. C43×#1717C2semidirect
6. C43×#1697C2semidirect
7. C43×#1683C2semidirect
8. C43×#1681C2semidirect
9. C43×#1668C2semidirect
10. C43×#1639C2semidirect
11. C43×#1629C2semidirect
12. C43×#1628C2semidirect
13. C43×#1622C2semidirect
14. C43×#1581C2semidirect
15. C43×SD16⋊C8C2semidirect
17. C43×#556C22semidirect
18. C43×#554C22semidirect
22. C43×#492C22semidirect
24. C43×#487C22semidirect
25. C43×#486C22semidirect
26. C43×#486C22semidirect
27. C43×#486C22semidirect
32. C43×#476C22semidirect
38. C43×#461C22semidirect
39. C43×#460C22semidirect
40. C43×#460C22semidirect
47. C8×Q8×C43C22semidirect
51. C43×#436C22semidirect
53. C8×D4×C43C22semidirect
56. C43×#335C22semidirect
57. C43×#335C22semidirect
58. C43×#333C22semidirect
59. C43×#332C22semidirect
60. C43×#331C22semidirect
61. C43×#331C22semidirect
62. C43×Q8⋊C8C22semidirect
64. C43×D4⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
282. #19773C43direct (N × H)
313. #3360C2×C43semidirect
314. #3324C2×C43semidirect
315. #3295C2×C43semidirect
317. #1717C2×C43semidirect
318. #1697C2×C43semidirect
319. #1683C2×C43semidirect
320. #1681C2×C43semidirect
321. #1668C2×C43semidirect
322. #1639C2×C43semidirect
323. #1629C2×C43semidirect
324. #1628C2×C43semidirect
325. #1622C2×C43semidirect
326. #1581C2×C43semidirect
327. SD16⋊C8C2×C43semidirect
337. #556C22×C43semidirect
338. #554C22×C43semidirect
342. #492C22×C43semidirect
344. #487C22×C43semidirect
345. #486C22×C43semidirect
346. #486C22×C43semidirect
347. #486C22×C43semidirect
352. #476C22×C43semidirect
358. #461C22×C43semidirect
359. #460C22×C43semidirect
360. #460C22×C43semidirect
367. C8×Q8C22×C43semidirect
371. #436C22×C43semidirect
373. C8×D4C22×C43semidirect
376. #335C22×C43semidirect
377. #335C22×C43semidirect
378. #333C22×C43semidirect
379. #332C22×C43semidirect
380. #331C22×C43semidirect
381. #331C22×C43semidirect
382. Q8⋊C8C22×C43semidirect
384. D4⋊C8C22×C43semidirect
385. D4⋊C8C22×C43semidirect
386. #322C22×C43semidirect
387. C43#19773direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#33602
C43×#33242
C43×#32952
D4×D8×C432
C43×#17172
C43×#16972
C43×#16832
C43×#16812
C43×#16682
C43×#16392
C43×#16292
C43×#16282
C43×#16222
C43×#15812
C43×SD16⋊C82
#1977343