Finite Group Databasebeta

← C43×#62151 #24982168

Subgroups — C43×#62151 #24982168

Order 11008.

1986 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3518C211yesmaximal, characteristic, complemented
2D4×#41×C43C211yesmaximal, characteristic, complemented
3Q8×SD16×C43C211yesmaximal, characteristic, complemented
4Q8×D8×C43C211yesmaximal, characteristic, complemented
5C43×#3362C211yesmaximal, characteristic, complemented
6C43×#3358C211yesmaximal, characteristic, complemented
7C43×#3354C213yesmaximal, complemented
8C43×#3353C213yesmaximal, complemented
9C43×#3325C213yesmaximal, complemented
10C43×#3324C213yesmaximal, complemented
11C43×#3251C213yesmaximal, complemented
12C43×#3228C213yesmaximal, complemented
13C43×#3105C213yesmaximal, complemented
14C43×#3077C213yesmaximal, complemented
15C43×#2991C211yesmaximal, characteristic, complemented
16C22×#41×C43—21no—
17Q82×C43C2211yescharacteristic, complemented
18C43×#556—23no—
19C43×#556C2213yescomplemented
20C43×#555C2213yescomplemented
21C43×#550C2211yescharacteristic
22D4×Q8×C43C2211yescharacteristic
23D4×Q8×C43C2211yescharacteristic, complemented
24C43×#548—21no—
25C43×#548—21no—
26C43×#547C2213yes—
27C43×#546—23no—
28D42×C43C2213yes—
29C43×#542—23no—
30C43×#533C2213yescomplemented
31C43×#532C2213yes—
32C43×#529C2213yescomplemented
33C43×#525—23no—
34C43×#519—21no—
35C4×#41×C43C2211yescharacteristic
36C2×C4×D4×C43C2213yes—
37C43×#500C2213yescomplemented
38C43×#498C2213yescomplemented
39C43×#486C2213yescomplemented
40C43×#486C2213yescomplemented
41C43×#484C2213yescomplemented
42C43×#482C2216yescomplemented
43C43×#482C2216yescomplemented
44C43×#481C2213yescomplemented
45C43×#478C2213yes—
46C43×#478C2213yescomplemented
47C43×#478C2216yescomplemented
48C43×#476C2213yes—
49C43×#476C2213yescomplemented
50C43×#475C2213yescomplemented
51C43×#474C2213yes—
52C43×#474C2213yescomplemented
53C43×#474C2213yescomplemented
54C43×#469C2216yescomplemented
55C43×#468C2216yescomplemented
56C43×#463C2211yescharacteristic
57C43×#463C2213yescomplemented
58C43×#460C2213yescomplemented
59C43×#459C2213yescomplemented
60C43×#450C2213yes—
61C43×#447C2213yes—
62C8×Q8×C43C2211yescharacteristic, complemented
63C8×Q8×C43C2211yescharacteristic, complemented
64C4×SD16×C43C2213yes—
65C4×SD16×C43C2213yescomplemented
66C4×D8×C43C2213yes—
67C4×D8×C43C2213yescomplemented
68C43×#436C2213yescomplemented
69C43×#436C2213yescomplemented
70C43×#431C2213yescomplemented
71C43×#428C2216yescomplemented
72C43×#423C2213yescomplemented
73C43×#418C2216yes—
74C2×#41×C43—21no—
75C2×#41×C43—23no—
76C2×#41×C43—23no—
77C2×#41×C43—48no—
78C2×#41×C43D411yescharacteristic
79C22×Q8×C43—21no—
80C22×Q8×C43—21no—
81C22×D4×C43—23no—
82C22×D4×C43C2313yes—
83C23×C4×C43—23no—
84C2×SD16×C43C2311yescharacteristic
85C2×SD16×C43C2313yes—
86C2×D8×C43C2311yescharacteristic
87C2×D8×C43C2313yes—
88C2×M16×C43C2316yes—
89C4⋊Q8×C43—23no—
90C4⋊Q8×C43C2313yes—
91C4⋊Q8×C43C2313yes—
92C4⋊Q8×C43C2313yes—
93#127×C43C2313yes—
94#126×C43—26no—
95#126×C43—23no—
96#125×C43C2313yes—
97#124×C43—23no—
98#124×C43—26no—
99#124×C43—23no—
100#124×C43C2311yescharacteristic
101#123×C43—23no—
102#123×C43—26no—
103C22⋊Q8×C43—23no—
104C22⋊Q8×C43—23no—
105C22⋊Q8×C43—23no—
106C22⋊Q8×C43—23no—
107C22⋊Q8×C43—23no—
108C22⋊Q8×C43C2313yes—
109#121×C43—23no—
110#121×C43—23no—
111#121×C43—23no—
112#121×C43—23no—
113#121×C43C2313yes—
114#121×C43C2316yes—
115#120×C43—26no—
116C4×Q8×C43—21no—
117C4×Q8×C43—23no—
118C4×Q8×C43—23no—
119C4×Q8×C43—23no—
120C4×Q8×C43D411yescharacteristic
121C4×Q8×C43C2313yes—
122C4×Q8×C43C2311yescharacteristic
123C4×D4×C43—23no—
124C4×D4×C43—23no—
125C4×D4×C43—23no—
126C4×D4×C43—23no—
127C4×D4×C43D413yes—
128C4×D4×C43C2311yescharacteristic
129C4×D4×C43C2313yes—
130C4×D4×C43C2313yes—
131C4×D4×C43C2313yes—
132C4×D4×C43C2313yes—
133C4×D4×C43C2313yes—
134#117×C43—23no—
135#117×C43—23no—
136#117×C43D413yes—
137#117×C43C2316yes—
138C2×C4⋊C4×C43C2313yes—
139C2×C22⋊C4×C43—23no—
140C2×C42×C43C2313yes—
141#107×C43C2313yes—
142#107×C43C2316yes—
143#107×C43C2313yes—
144#106×C43C2313yes—
145#106×C43C2316yes—
146#106×C43C2313yes—
147C4⋊C8×C43C2313yes—
148C4⋊C8×C43C2313yes—
149C4⋊C8×C43C2313yes—
150C4⋊C8×C43C2311yescharacteristic
151#103×C43C2313yes—
152#103×C43C2311yescharacteristic
153#102×C43C2313yes—
154#102×C43C2313yes—
155#102×C43C2316yes—
156#102×C43C2316yes—
157#102×C43C2313yes—
158#102×C43C2311yescharacteristic
159#102×C43C2313yes—
160#102×C43C2313yes—
161C22⋊C8×C43C2313yes—
162C22⋊C8×C43C2313yes—
163C4×C8×C43C2313yes—
164C4×C8×C43C2313yes—
165C24×C43—23no—
166#41×C43—24no—
167#41×C43—412no—
168#41×C43—412no—
169#41×C43—44no—
170C2×Q8×C43—23no—
171C2×Q8×C43—23no—
172C2×Q8×C43—23no—
173C2×Q8×C43—44no—
174C2×Q8×C43—44no—
175C2×Q8×C43C2×D411yescharacteristic
176C2×Q8×C43C2411yescharacteristic
177C2×D4×C43—23no—
178C2×D4×C43—23no—
179C2×D4×C43—23no—
180C2×D4×C43—26no—
181C2×D4×C43—23no—
182C2×D4×C43—26no—
183C2×D4×C43—43no—
184C2×D4×C43—412no—
185C2×D4×C43C2×D413yes—
186C2×D4×C43C2413yes—
187C2×D4×C43C2411yescharacteristic
188C2×D4×C43C2411yescharacteristic
189C22×C4×C43—23no—
190C22×C4×C43—21no—
191C22×C4×C43—23no—
192C22×C4×C43—23no—
193C22×C4×C43—23no—
194C22×C4×C43—23no—
195C22×C4×C43—412no—
196C22×C4×C43C2×D413yes—
197C22×C4×C43C2×D413yes—
198C22×C4×C43C2413yes—
199SD16×C43—22no—
200SD16×C43—43no—
201D8×C43—22no—
202D8×C43—43no—
203M16×C43—46no—
204C2×C8×C43C2411yescharacteristic
205C2×C8×C43C2411yescharacteristic
206C2×C8×C43C2413yes—
207C2×C8×C43C2413yes—
208C4⋊C4×C43—23no—
209C4⋊C4×C43—23no—
210C4⋊C4×C43—23no—
211C4⋊C4×C43—23no—
212C4⋊C4×C43—23no—
213C4⋊C4×C43—23no—
214C4⋊C4×C43—23no—
215C4⋊C4×C43—23no—
216C4⋊C4×C43C2×D413yes—
217C4⋊C4×C43C2×D413yes—
218C4⋊C4×C43C2413yes—
219C4⋊C4×C43C2413yes—
220C4⋊C4×C43C2411yescharacteristic
221C4⋊C4×C43C2413yes—
222C22⋊C4×C43—21no—
223C22⋊C4×C43—23no—
224C22⋊C4×C43—23no—
225C22⋊C4×C43—23no—
226C22⋊C4×C43—23no—
227C22⋊C4×C43—21no—
228C22⋊C4×C43—21no—
229C22⋊C4×C43—26no—
230C22⋊C4×C43—23no—
231C22⋊C4×C43—26no—
232C22⋊C4×C43—23no—
233C22⋊C4×C43C2×D416yes—
234C42×C43—26no—
235C42×C43—23no—
236C42×C43C2×D413yes—
237C42×C43C2×D413yes—
238C42×C43C2413yes—
239C42×C43C2411yescharacteristic
240C23×C43—21no—
241C23×C43—21no—
242C23×C43—23no—
243C23×C43—46no—
244C23×C43—46no—
245C23×C43—83no—
246C23×C43C22×D413yes—
247Q8×C43—21no—
248Q8×C43—21no—
249Q8×C43—46no—
250Q8×C43—46no—
251Q8×C43—83no—
252Q8×C43AGL(1,ℤ/8)14yes—
253D4×C43—26no—
254D4×C43—21no—
255D4×C43—23no—
256D4×C43—21no—
257D4×C43—21no—
258D4×C43—23no—
259D4×C43—46no—
260D4×C43—412no—
261D4×C43—46no—
262D4×C43—83no—
263D4×C43—83no—
264D4×C432−1+412yes—
265C2×C4×C43—26no—
266C2×C4×C43—23no—
267C2×C4×C43—23no—
268C2×C4×C43—21no—
269C2×C4×C43—23no—
270C2×C4×C43—23no—
271C2×C4×C43—21no—
272C2×C4×C43—23no—
273C2×C4×C43—43no—
274C2×C4×C43—42no—
275C2×C4×C43—46no—
276C2×C4×C43—46no—
277C2×C4×C43—46no—
278C2×C4×C43—46no—
279C2×C4×C43—46no—
280C2×C4×C43C22×D413yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C22×D413yes—
284C2×C4×C43C22×D413yes—
285C2×C4×C43C2511yescharacteristic
286C8×C43—21no—
287C8×C43—21no—
288C8×C43—23no—
289C8×C43—23no—
290#62151C4311yesmaximal, characteristic, direct product factor, Sylow
291C22×C43—23no—
292C22×C43—22no—
293C22×C43—23no—
294C22×C43—23no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—43no—
298C22×C43—41no—
299C22×C43—43no—
300C22×C43—41no—
301C22×C43—43no—
302C22×C43—41no—
303C22×C43—812no—
304C22×C43C23×D411yescharacteristic
305C4×C43—21no—
306C4×C43—23no—
307C4×C43—23no—
308C4×C43—21no—
309C4×C43—43no—
310C4×C43—41no—
311C4×C43—41no—
312C4×C43—43no—
313C4×C43—43no—
314C4×C43C2×AGL(1,ℤ/8)16yes—
315C4×C43C2×2−1+411yescharacteristic
316C4×C43#58511yescharacteristic
317#3518C2×C4311yescharacteristic, complemented
318D4×#41C2×C4311yescharacteristic, complemented
319Q8×SD16C2×C4311yescharacteristic, complemented
320Q8×D8C2×C4311yescharacteristic, complemented
321#3362C2×C4311yescharacteristic, complemented
322#3358C2×C4311yescharacteristic, complemented
323#3354C2×C4313yescomplemented
324#3353C2×C4313yescomplemented
325#3325C2×C4313yescomplemented
326#3324C2×C4313yescomplemented
327#3251C2×C4313yescomplemented
328#3228C2×C4313yescomplemented
329#3105C2×C4313yescomplemented
330#3077C2×C4313yescomplemented
331#2991C2×C4311yescharacteristic, complemented
332C2×C43—43no—
333C2×C43—42no—
334C2×C43—81no—
335C2×C43—83no—
336C2×C43#348911yescharacteristic
337C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
338C2×C43#358411yescharacteristic
339C22×#41—21no—
340Q82C22×C4311yescharacteristic, complemented
341#556—23no—
342#556C22×C4313yescomplemented
343#555C22×C4313yescomplemented
344#550C22×C4311yescharacteristic
345D4×Q8C22×C4311yescharacteristic
346D4×Q8C22×C4311yescharacteristic, complemented
347#548—21no—
348#548—21no—
349#547C22×C4313yes—
350#546—23no—
351D42C22×C4313yes—
352#542—23no—
353#533C22×C4313yescomplemented
354#532C22×C4313yes—
355#529C22×C4313yescomplemented
356#525—23no—
357#519—21no—
358C4×#41C22×C4311yescharacteristic
359C2×C4×D4C22×C4313yes—
360#500C22×C4313yescomplemented
361#498C22×C4313yescomplemented
362#486C22×C4313yescomplemented
363#486C22×C4313yescomplemented
364#484C22×C4313yescomplemented
365#482C22×C4316yescomplemented
366#482C22×C4316yescomplemented
367#481C22×C4313yescomplemented
368#478C22×C4313yes—
369#478C22×C4316yescomplemented
370#478C22×C4313yescomplemented
371#476C22×C4313yes—
372#476C22×C4313yescomplemented
373#475C22×C4313yescomplemented
374#474C22×C4313yes—
375#474C22×C4313yescomplemented
376#474C22×C4313yescomplemented
377#469C22×C4316yescomplemented
378#468C22×C4316yescomplemented
379#463C22×C4311yescharacteristic
380#463C22×C4313yescomplemented
381#460C22×C4313yescomplemented
382#459C22×C4313yescomplemented
383#450C22×C4313yes—
384#447C22×C4313yes—
385C8×Q8C22×C4311yescharacteristic, complemented
386C8×Q8C22×C4311yescharacteristic, complemented
387C4×SD16C22×C4313yes—
388C4×SD16C22×C4313yescomplemented
389C4×D8C22×C4313yes—
390C4×D8C22×C4313yescomplemented
391#436C22×C4313yescomplemented
392#436C22×C4313yescomplemented
393#431C22×C4313yescomplemented
394#428C22×C4316yescomplemented
395#423C22×C4313yescomplemented
396#418C22×C4316yes—
397C43#6215111yescharacteristic, direct product factor, Sylow
398C2×#41—21no—
399C2×#41—23no—
400C2×#41—23no—
401C2×#41—48no—
402C2×#41D4×C4311yescharacteristic
403C22×Q8—21no—
404C22×Q8—21no—
405C22×D4—23no—
406C22×D4C23×C4313yes—
407C23×C4—23no—
408C2×SD16C23×C4311yescharacteristic
409C2×SD16C23×C4313yes—
410C2×D8C23×C4311yescharacteristic
411C2×D8C23×C4313yes—
412C2×M16C23×C4316yes—
413C4⋊Q8—23no—
414C4⋊Q8C23×C4313yes—
415C4⋊Q8C23×C4313yes—
416C4⋊Q8C23×C4313yes—
417#127C23×C4313yes—
418#126—26no—
419#126—23no—
420#125C23×C4313yes—
421#124—23no—
422#124—26no—
423#124—23no—
424#124C23×C4311yescharacteristic
425#123—23no—
426#123—26no—
427C22⋊Q8—23no—
428C22⋊Q8—23no—
429C22⋊Q8—23no—
430C22⋊Q8—23no—
431C22⋊Q8—23no—
432C22⋊Q8C23×C4313yes—
433#121—23no—
434#121—23no—
435#121—23no—
436#121—23no—
437#121C23×C4313yes—
438#121C23×C4316yes—
439#120—26no—
440C4×Q8—21no—
441C4×Q8—23no—
442C4×Q8—23no—
443C4×Q8—23no—
444C4×Q8D4×C4311yescharacteristic
445C4×Q8C23×C4313yes—
446C4×Q8C23×C4311yescharacteristic
447C4×D4—23no—
448C4×D4—23no—
449C4×D4—23no—
450C4×D4—23no—
451C4×D4D4×C4313yes—
452C4×D4C23×C4311yescharacteristic
453C4×D4C23×C4313yes—
454C4×D4C23×C4313yes—
455C4×D4C23×C4313yes—
456C4×D4C23×C4313yes—
457C4×D4C23×C4313yes—
458#117—23no—
459#117—23no—
460#117D4×C4313yes—
461#117C23×C4316yes—
462C2×C4⋊C4C23×C4313yes—
463C2×C22⋊C4—23no—
464C2×C42C23×C4313yes—
465#107C23×C4313yes—
466#107C23×C4316yes—
467#107C23×C4313yes—
468#106C23×C4313yes—
469#106C23×C4316yes—
470#106C23×C4313yes—
471C4⋊C8C23×C4313yes—
472C4⋊C8C23×C4313yes—
473C4⋊C8C23×C4313yes—
474C4⋊C8C23×C4311yescharacteristic
475#103C23×C4313yes—
476#103C23×C4311yescharacteristic
477#102C23×C4313yes—
478#102C23×C4313yes—
479#102C23×C4316yes—
480#102C23×C4316yes—
481#102C23×C4313yes—
482#102C23×C4311yescharacteristic
483#102C23×C4313yes—
484#102C23×C4313yes—
485C22⋊C8C23×C4313yes—
486C22⋊C8C23×C4313yes—
487C4×C8C23×C4313yes—
488C4×C8C23×C4313yes—
489C24—23no—
490#41—24no—
491#41—412no—
492#41—412no—
493#41—44no—
494C2×Q8—23no—
495C2×Q8—23no—
496C2×Q8—23no—
497C2×Q8—44no—
498C2×Q8—44no—
499C2×Q8C2×D4×C4311yescharacteristic
500C2×Q8C24×C4311yescharacteristic
501C2×D4—26no—
502C2×D4—26no—
503C2×D4—23no—
504C2×D4—23no—
505C2×D4—23no—
506C2×D4—23no—
507C2×D4—43no—
508C2×D4—412no—
509C2×D4C2×D4×C4313yes—
510C2×D4C24×C4313yes—
511C2×D4C24×C4311yescharacteristic
512C2×D4C24×C4311yescharacteristic
513C22×C4—23no—
514C22×C4—23no—
515C22×C4—21no—
516C22×C4—23no—
517C22×C4—23no—
518C22×C4—23no—
519C22×C4—412no—
520C22×C4C2×D4×C4313yes—
521C22×C4C2×D4×C4313yes—
522C22×C4C24×C4313yes—
523SD16—22no—
524SD16—43no—
525D8—22no—
526D8—43no—
527M16—46no—
528C2×C8C24×C4311yescharacteristic
529C2×C8C24×C4311yescharacteristic
530C2×C8C24×C4313yes—
531C2×C8C24×C4313yes—
532C4⋊C4—23no—
533C4⋊C4—23no—
534C4⋊C4—23no—
535C4⋊C4—23no—
536C4⋊C4—23no—
537C4⋊C4—23no—
538C4⋊C4—23no—
539C4⋊C4—23no—
540C4⋊C4C2×D4×C4313yes—
541C4⋊C4C2×D4×C4313yes—
542C4⋊C4C24×C4313yes—
543C4⋊C4C24×C4313yes—
544C4⋊C4C24×C4311yescharacteristic
545C4⋊C4C24×C4313yes—
546C22⋊C4—26no—
547C22⋊C4—23no—
548C22⋊C4—21no—
549C22⋊C4—23no—
550C22⋊C4—23no—
551C22⋊C4—23no—
552C22⋊C4—23no—
553C22⋊C4—21no—
554C22⋊C4—21no—
555C22⋊C4—26no—
556C22⋊C4—23no—
557C22⋊C4C2×D4×C4316yes—
558C42—26no—
559C42—23no—
560C42C2×D4×C4313yes—
561C42C2×D4×C4313yes—
562C42C24×C4313yes—
563C42C24×C4311yescharacteristic
564C23—21no—
565C23—21no—
566C23—23no—
567C23—46no—
568C23—46no—
569C23—83no—
570C23C22×D4×C4313yes—
571Q8—21no—
572Q8—21no—
573Q8—46no—
574Q8—46no—
575Q8—83no—
576Q8AGL(1,ℤ/8)×C4314yes—
577D4—26no—
578D4—21no—
579D4—23no—
580D4—21no—
581D4—21no—
582D4—23no—
583D4—46no—
584D4—412no—
585D4—46no—
586D4—83no—
587D4—83no—
588D42−1+4×C4312yes—
589C2×C4—26no—
590C2×C4—23no—
591C2×C4—23no—
592C2×C4—21no—
593C2×C4—23no—
594C2×C4—23no—
595C2×C4—21no—
596C2×C4—23no—
597C2×C4—43no—
598C2×C4—42no—
599C2×C4—46no—
600C2×C4—46no—
601C2×C4—46no—
602C2×C4—46no—
603C2×C4—46no—
604C2×C4C22×D4×C4313yes—
605C2×C4C22×D4×C4311yescharacteristic
606C2×C4C22×D4×C4311yescharacteristic
607C2×C4C22×D4×C4313yes—
608C2×C4C22×D4×C4313yes—
609C2×C4C25×C4311yescharacteristic
610C8—21no—
611C8—21no—
612C8—23no—
613C8—23no—
614C22—23no—
615C22—22no—
616C22—23no—
617C22—23no—
618C22—41no—
619C22—41no—
620C22—43no—
621C22—41no—
622C22—41no—
623C22—43no—
624C22—41no—
625C22—43no—
626C22—812no—
627C22C23×D4×C4311yescharacteristic
628C4—23no—
629C4—21no—
630C4—21no—
631C4—23no—
632C4—41no—
633C4—41no—
634C4—43no—
635C4—43no—
636C4—43no—
637C4C2×AGL(1,ℤ/8)×C4316yes—
638C4C2×2−1+4×C4311yescharacteristic
639C4C43×#58511yescharacteristic
640C2—43no—
641C2—42no—
642C2—83no—
643C2—81no—
644C2C43×#348911yescharacteristic
645C2C22×AGL(1,ℤ/8)×C4311yescharacteristic
646C2C43×#358411yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C4×#41×C43 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C43×#3518C2semidirect
2. D4×#41×C43C2semidirect
3. Q8×SD16×C43C2semidirect
4. Q8×D8×C43C2semidirect
5. C43×#3362C2semidirect
6. C43×#3358C2semidirect
7. C43×#3354C2semidirect
8. C43×#3353C2semidirect
9. C43×#3325C2semidirect
10. C43×#3324C2semidirect
11. C43×#3251C2semidirect
12. C43×#3228C2semidirect
13. C43×#3105C2semidirect
14. C43×#3077C2semidirect
15. C43×#2991C2semidirect
17. Q82×C43C22semidirect
19. C43×#556C22semidirect
20. C43×#555C22semidirect
23. D4×Q8×C43C22semidirect
30. C43×#533C22semidirect
32. C43×#529C22semidirect
37. C43×#500C22semidirect
38. C43×#498C22semidirect
39. C43×#486C22semidirect
40. C43×#486C22semidirect
41. C43×#484C22semidirect
42. C43×#482C22semidirect
43. C43×#482C22semidirect
44. C43×#481C22semidirect
46. C43×#478C22semidirect
47. C43×#478C22semidirect
49. C43×#476C22semidirect
50. C43×#475C22semidirect
52. C43×#474C22semidirect
53. C43×#474C22semidirect
54. C43×#469C22semidirect
55. C43×#468C22semidirect
57. C43×#463C22semidirect
58. C43×#460C22semidirect
59. C43×#459C22semidirect
62. C8×Q8×C43C22semidirect
63. C8×Q8×C43C22semidirect
65. C4×SD16×C43C22semidirect
67. C4×D8×C43C22semidirect
68. C43×#436C22semidirect
69. C43×#436C22semidirect
70. C43×#431C22semidirect
71. C43×#428C22semidirect
72. C43×#423C22semidirect
290. #62151C43direct (N × H)
317. #3518C2×C43semidirect
318. D4×#41C2×C43semidirect
319. Q8×SD16C2×C43semidirect
320. Q8×D8C2×C43semidirect
321. #3362C2×C43semidirect
322. #3358C2×C43semidirect
323. #3354C2×C43semidirect
324. #3353C2×C43semidirect
325. #3325C2×C43semidirect
326. #3324C2×C43semidirect
327. #3251C2×C43semidirect
328. #3228C2×C43semidirect
329. #3105C2×C43semidirect
330. #3077C2×C43semidirect
331. #2991C2×C43semidirect
340. Q82C22×C43semidirect
342. #556C22×C43semidirect
343. #555C22×C43semidirect
346. D4×Q8C22×C43semidirect
353. #533C22×C43semidirect
355. #529C22×C43semidirect
360. #500C22×C43semidirect
361. #498C22×C43semidirect
362. #486C22×C43semidirect
363. #486C22×C43semidirect
364. #484C22×C43semidirect
365. #482C22×C43semidirect
366. #482C22×C43semidirect
367. #481C22×C43semidirect
369. #478C22×C43semidirect
370. #478C22×C43semidirect
372. #476C22×C43semidirect
373. #475C22×C43semidirect
375. #474C22×C43semidirect
376. #474C22×C43semidirect
377. #469C22×C43semidirect
378. #468C22×C43semidirect
380. #463C22×C43semidirect
381. #460C22×C43semidirect
382. #459C22×C43semidirect
385. C8×Q8C22×C43semidirect
386. C8×Q8C22×C43semidirect
388. C4×SD16C22×C43semidirect
390. C4×D8C22×C43semidirect
391. #436C22×C43semidirect
392. #436C22×C43semidirect
393. #431C22×C43semidirect
394. #428C22×C43semidirect
395. #423C22×C43semidirect
397. C43#62151direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#35182
D4×#41×C432
Q8×SD16×C432
Q8×D8×C432
C43×#33622
C43×#33582
C43×#33542
C43×#33532
C43×#33252
C43×#33242
C43×#32512
C43×#32282
C43×#31052
C43×#30772
C43×#29912
#6215143