Finite Group Databasebeta

← C43×#62003 #24982020

Subgroups — C43×#62003 #24982020

Order 11008.

2126 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3517C211yesmaximal, characteristic, complemented
2D4×#41×C43C211yesmaximal, characteristic, complemented
3C43×#3392C211yesmaximal, characteristic, complemented
4C43×#3391C211yesmaximal, characteristic, complemented
5C43×#3359C211yesmaximal, characteristic, complemented
6C43×#3358C211yesmaximal, characteristic, complemented
7C43×#3332C213yesmaximal, complemented
8C43×#3330C213yesmaximal, complemented
9C43×#3274C213yesmaximal, complemented
10C43×#3272C213yesmaximal, complemented
11C43×#3251C213yesmaximal, complemented
12C43×#3207C213yesmaximal, complemented
13C43×#3105C213yesmaximal, complemented
14C43×#3036C213yesmaximal, complemented
15C43×#2991C211yesmaximal, characteristic, complemented
16C22×#41×C43—21no—
17C2×AGL(1,ℤ/8)×C43C2216yes—
18C43×#557C2211yescharacteristic, complemented
19C43×#553—23no—
20C43×#550—21no—
21C43×#550C2211yescharacteristic
22C43×#550C2213yescomplemented
23C43×#550C2211yescharacteristic, complemented
24D4×Q8×C43C2211yescharacteristic
25C43×#548—21no—
26C43×#547C2213yes—
27C43×#547C2213yescomplemented
28C43×#546—23no—
29D42×C43C2213yes—
30C43×#540—23no—
31C43×#532C2213yes—
32C43×#532C2213yescomplemented
33C43×#529C2213yescomplemented
34C43×#525—23no—
35C43×#520—21no—
36C4×#41×C43C2211yescharacteristic
37C2×C4×D4×C43C2213yes—
38C43×#493C2213yescomplemented
39C43×#492C2213yescomplemented
40C43×#487C2213yescomplemented
41C43×#486C2213yescomplemented
42C43×#484C2213yescomplemented
43C43×#481C2213yescomplemented
44C43×#478C2211yescharacteristic
45C43×#478C2213yescomplemented
46C43×#475C2213yescomplemented
47C43×#474C2213yescomplemented
48C43×#469C2216yescomplemented
49C43×#468C2216yescomplemented
50C43×#463C2213yes—
51C43×#463C2213yescomplemented
52C43×#463C2216yescomplemented
53C43×#461C2213yes—
54C43×#461C2213yescomplemented
55C43×#460C2213yescomplemented
56C43×#459C2213yes—
57C43×#459C2213yescomplemented
58C43×#459C2213yescomplemented
59C43×#450C2213yes—
60C43×#449C2216yescomplemented
61C43×#449C2216yescomplemented
62C43×#447C2213yes—
63C8×Q8×C43C2211yescharacteristic, complemented
64C8×Q8×C43C2211yescharacteristic, complemented
65C4×SD16×C43C2213yes—
66C4×SD16×C43C2213yescomplemented
67C4×D8×C43C2213yes—
68C4×D8×C43C2213yescomplemented
69C43×#436C2213yescomplemented
70C43×#436C2213yescomplemented
71C43×#431C2213yescomplemented
72C43×#423C2213yescomplemented
73C43×#417C2216yescomplemented
74C2×#41×C43—21no—
75C2×#41×C43—21no—
76C2×#41×C43—23no—
77C2×#41×C43—23no—
78C2×#41×C43—48no—
79C2×#41×C43D411yescharacteristic
80C2×#41×C43C2316yes—
81C22×Q8×C43—21no—
82C22×D4×C43—23no—
83C22×D4×C43C2313yes—
84C23×C4×C43—23no—
85AGL(1,ℤ/8)×C43—412no—
86C2×SD16×C43C2313yes—
87C2×SD16×C43C2316yes—
88C2×SD16×C43C2313yes—
89C2×D8×C43C2313yes—
90C2×D8×C43C2316yes—
91C2×D8×C43C2313yes—
92C2×M16×C43C2316yes—
93C4⋊Q8×C43C2313yes—
94C4⋊Q8×C43C2313yes—
95#127×C43—23no—
96#127×C43C2313yes—
97#127×C43C2313yes—
98#126×C43—23no—
99#125×C43—23no—
100#125×C43C2311yescharacteristic
101#124×C43—23no—
102#124×C43C2313yes—
103#123×C43—23no—
104#123×C43—26no—
105#123×C43—26no—
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×C43—23no—
114#121×C43—23no—
115#121×C43—23no—
116#121×C43—26no—
117#121×C43C2313yes—
118#121×C43C2316yes—
119#120×C43—26no—
120C4×Q8×C43—21no—
121C4×Q8×C43D411yescharacteristic
122C4×Q8×C43C2313yes—
123C4×Q8×C43C2311yescharacteristic
124C4×D4×C43—23no—
125C4×D4×C43—23no—
126C4×D4×C43—23no—
127C4×D4×C43—23no—
128C4×D4×C43—23no—
129C4×D4×C43—23no—
130C4×D4×C43—23no—
131C4×D4×C43D413yes—
132C4×D4×C43C2311yescharacteristic
133C4×D4×C43C2313yes—
134C4×D4×C43C2313yes—
135C4×D4×C43C2313yes—
136C4×D4×C43C2313yes—
137C4×D4×C43C2313yes—
138#117×C43—23no—
139#117×C43D413yes—
140C2×C4⋊C4×C43—23no—
141C2×C4⋊C4×C43C2313yes—
142C2×C22⋊C4×C43—23no—
143C2×C42×C43C2313yes—
144#107×C43C2313yes—
145#107×C43C2311yescharacteristic
146#106×C43C2313yes—
147#106×C43C2311yescharacteristic
148C4⋊C8×C43C2313yes—
149C4⋊C8×C43C2313yes—
150C4⋊C8×C43C2313yes—
151C4⋊C8×C43C2311yescharacteristic
152#103×C43C2313yes—
153#103×C43C2316yes—
154#103×C43C2313yes—
155#102×C43C2313yes—
156#102×C43C2316yes—
157#102×C43C2311yescharacteristic
158#102×C43C2313yes—
159#102×C43C2313yes—
160#102×C43C2311yescharacteristic
161#102×C43C2313yes—
162C22⋊C8×C43C2313yes—
163C22⋊C8×C43C2313yes—
164C4×C8×C43C2313yes—
165C4×C8×C43C2313yes—
166C24×C43—23no—
167#41×C43—24no—
168#41×C43—412no—
169#41×C43—46no—
170#41×C43—46no—
171#41×C43—412no—
172#41×C43—44no—
173#41×C43—44no—
174C2×Q8×C43—23no—
175C2×Q8×C43—44no—
176C2×Q8×C43C2×D411yescharacteristic
177C2×Q8×C43C2413yes—
178C2×D4×C43—23no—
179C2×D4×C43—23no—
180C2×D4×C43—23no—
181C2×D4×C43—23no—
182C2×D4×C43—23no—
183C2×D4×C43—26no—
184C2×D4×C43—23no—
185C2×D4×C43—26no—
186C2×D4×C43—26no—
187C2×D4×C43—43no—
188C2×D4×C43—412no—
189C2×D4×C43C2×D413yes—
190C2×D4×C43C2413yes—
191C2×D4×C43C2413yes—
192C2×D4×C43C2411yescharacteristic
193C22×C4×C43—23no—
194C22×C4×C43—21no—
195C22×C4×C43—23no—
196C22×C4×C43—23no—
197C22×C4×C43—23no—
198C22×C4×C43—26no—
199C22×C4×C43—23no—
200C22×C4×C43—412no—
201C22×C4×C43C2×D413yes—
202C22×C4×C43C2×D413yes—
203C22×C4×C43C2413yes—
204SD16×C43—26no—
205SD16×C43—43no—
206SD16×C43—46no—
207D8×C43—26no—
208D8×C43—43no—
209D8×C43—46no—
210M16×C43—46no—
211C2×C8×C43C2411yescharacteristic
212C2×C8×C43C2411yescharacteristic
213C2×C8×C43C2413yes—
214C2×C8×C43C2413yes—
215C4⋊C4×C43—23no—
216C4⋊C4×C43—23no—
217C4⋊C4×C43—23no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—23no—
221C4⋊C4×C43—23no—
222C4⋊C4×C43—23no—
223C4⋊C4×C43C2×D413yes—
224C4⋊C4×C43C2×D413yes—
225C4⋊C4×C43C2411yescharacteristic
226C4⋊C4×C43C2411yescharacteristic
227C4⋊C4×C43C2411yescharacteristic
228C4⋊C4×C43C2413yes—
229C22⋊C4×C43—21no—
230C22⋊C4×C43—23no—
231C22⋊C4×C43—23no—
232C22⋊C4×C43—23no—
233C22⋊C4×C43—23no—
234C22⋊C4×C43—23no—
235C22⋊C4×C43—23no—
236C22⋊C4×C43—26no—
237C22⋊C4×C43—23no—
238C22⋊C4×C43—23no—
239C22⋊C4×C43C2×D416yes—
240C42×C43—23no—
241C42×C43C2×D413yes—
242C42×C43C2×D413yes—
243C42×C43C2413yes—
244C42×C43C2411yescharacteristic
245C23×C43—21no—
246C23×C43—23no—
247C23×C43—23no—
248C23×C43—46no—
249C23×C43—46no—
250C23×C43—83no—
251C23×C43C22×D413yes—
252Q8×C43—23no—
253Q8×C43—23no—
254Q8×C43—46no—
255Q8×C43AGL(1,ℤ/8)14yescomplemented
256D4×C43—26no—
257D4×C43—23no—
258D4×C43—23no—
259D4×C43—21no—
260D4×C43—23no—
261D4×C43—23no—
262D4×C43—46no—
263D4×C43—412no—
264D4×C43—46no—
265D4×C43—46no—
266D4×C43—83no—
267D4×C43—83no—
268D4×C43—83no—
269D4×C43—86no—
270D4×C43H(5,𝔽2)12yes—
271C2×C4×C43—26no—
272C2×C4×C43—23no—
273C2×C4×C43—23no—
274C2×C4×C43—21no—
275C2×C4×C43—23no—
276C2×C4×C43—21no—
277C2×C4×C43—21no—
278C2×C4×C43—23no—
279C2×C4×C43—43no—
280C2×C4×C43—42no—
281C2×C4×C43—46no—
282C2×C4×C43—46no—
283C2×C4×C43—46no—
284C2×C4×C43—46no—
285C2×C4×C43—46no—
286C2×C4×C43—86no—
287C2×C4×C43C22×D411yescharacteristic
288C2×C4×C43C22×D411yescharacteristic
289C2×C4×C43C22×D413yes—
290C2×C4×C43C22×D413yes—
291C2×C4×C43C22×D413yes—
292C2×C4×C43C2511yescharacteristic
293C8×C43—23no—
294C8×C43—23no—
295C8×C43—21no—
296C8×C43—21no—
297#62003C4311yesmaximal, characteristic, direct product factor, Sylow
298C22×C43—23no—
299C22×C43—22no—
300C22×C43—23no—
301C22×C43—23no—
302C22×C43—41no—
303C22×C43—41no—
304C22×C43—43no—
305C22×C43—43no—
306C22×C43—43no—
307C22×C43—43no—
308C22×C43—43no—
309C22×C43—43no—
310C22×C43—812no—
311C22×C43C23×D411yescharacteristic
312C4×C43—21no—
313C4×C43—23no—
314C4×C43—23no—
315C4×C43—21no—
316C4×C43—41no—
317C4×C43—43no—
318C4×C43—41no—
319C4×C43—41no—
320C4×C43—43no—
321C4×C43C2×AGL(1,ℤ/8)16yes—
322C4×C43C2×H(5,𝔽2)11yescharacteristic
323C4×C43#58511yescharacteristic
324#3517C2×C4311yescharacteristic, complemented
325D4×#41C2×C4311yescharacteristic, complemented
326#3392C2×C4311yescharacteristic, complemented
327#3391C2×C4311yescharacteristic, complemented
328#3359C2×C4311yescharacteristic, complemented
329#3358C2×C4311yescharacteristic, complemented
330#3332C2×C4313yescomplemented
331#3330C2×C4313yescomplemented
332#3274C2×C4313yescomplemented
333#3272C2×C4313yescomplemented
334#3251C2×C4313yescomplemented
335#3207C2×C4313yescomplemented
336#3105C2×C4313yescomplemented
337#3036C2×C4313yescomplemented
338#2991C2×C4311yescharacteristic, complemented
339C2×C43—43no—
340C2×C43—42no—
341C2×C43—83no—
342C2×C43—83no—
343C2×C43#348811yescharacteristic
344C2×C43C22×AGL(1,ℤ/8)11yescharacteristic
345C2×C43#358411yescharacteristic
346C22×#41—21no—
347C2×AGL(1,ℤ/8)C22×C4316yes—
348#557C22×C4311yescharacteristic, complemented
349#553—23no—
350#550—21no—
351#550C22×C4311yescharacteristic
352#550C22×C4313yescomplemented
353#550C22×C4311yescharacteristic, complemented
354D4×Q8C22×C4311yescharacteristic
355#548—21no—
356#547C22×C4313yes—
357#547C22×C4313yescomplemented
358#546—23no—
359D42C22×C4313yes—
360#540—23no—
361#532C22×C4313yes—
362#532C22×C4313yescomplemented
363#529C22×C4313yescomplemented
364#525—23no—
365#520—21no—
366C4×#41C22×C4311yescharacteristic
367C2×C4×D4C22×C4313yes—
368#493C22×C4313yescomplemented
369#492C22×C4313yescomplemented
370#487C22×C4313yescomplemented
371#486C22×C4313yescomplemented
372#484C22×C4313yescomplemented
373#481C22×C4313yescomplemented
374#478C22×C4311yescharacteristic
375#478C22×C4313yescomplemented
376#475C22×C4313yescomplemented
377#474C22×C4313yescomplemented
378#469C22×C4316yescomplemented
379#468C22×C4316yescomplemented
380#463C22×C4313yes—
381#463C22×C4313yescomplemented
382#463C22×C4316yescomplemented
383#461C22×C4313yes—
384#461C22×C4313yescomplemented
385#460C22×C4313yescomplemented
386#459C22×C4313yes—
387#459C22×C4313yescomplemented
388#459C22×C4313yescomplemented
389#450C22×C4313yes—
390#449C22×C4316yescomplemented
391#449C22×C4316yescomplemented
392#447C22×C4313yes—
393C8×Q8C22×C4311yescharacteristic, complemented
394C8×Q8C22×C4311yescharacteristic, complemented
395C4×SD16C22×C4313yes—
396C4×SD16C22×C4313yescomplemented
397C4×D8C22×C4313yes—
398C4×D8C22×C4313yescomplemented
399#436C22×C4313yescomplemented
400#436C22×C4313yescomplemented
401#431C22×C4313yescomplemented
402#423C22×C4313yescomplemented
403#417C22×C4316yescomplemented
404C43#6200311yescharacteristic, direct product factor, Sylow
405C2×#41—21no—
406C2×#41—21no—
407C2×#41—23no—
408C2×#41—23no—
409C2×#41—48no—
410C2×#41D4×C4311yescharacteristic
411C2×#41C23×C4316yes—
412C22×Q8—21no—
413C22×D4—23no—
414C22×D4C23×C4313yes—
415C23×C4—23no—
416AGL(1,ℤ/8)—412no—
417C2×SD16C23×C4313yes—
418C2×SD16C23×C4316yes—
419C2×SD16C23×C4313yes—
420C2×D8C23×C4313yes—
421C2×D8C23×C4316yes—
422C2×D8C23×C4313yes—
423C2×M16C23×C4316yes—
424C4⋊Q8C23×C4313yes—
425C4⋊Q8C23×C4313yes—
426#127—23no—
427#127C23×C4313yes—
428#127C23×C4313yes—
429#126—23no—
430#125—23no—
431#125C23×C4311yescharacteristic
432#124—23no—
433#124C23×C4313yes—
434#123—23no—
435#123—26no—
436#123—26no—
437C22⋊Q8—23no—
438C22⋊Q8—23no—
439C22⋊Q8C23×C4313yes—
440#121—23no—
441#121—23no—
442#121—23no—
443#121—23no—
444#121—23no—
445#121—23no—
446#121—23no—
447#121—26no—
448#121C23×C4313yes—
449#121C23×C4316yes—
450#120—26no—
451C4×Q8—21no—
452C4×Q8D4×C4311yescharacteristic
453C4×Q8C23×C4313yes—
454C4×Q8C23×C4311yescharacteristic
455C4×D4—23no—
456C4×D4—23no—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—23no—
460C4×D4—23no—
461C4×D4—23no—
462C4×D4D4×C4313yes—
463C4×D4C23×C4311yescharacteristic
464C4×D4C23×C4313yes—
465C4×D4C23×C4313yes—
466C4×D4C23×C4313yes—
467C4×D4C23×C4313yes—
468C4×D4C23×C4313yes—
469#117—23no—
470#117D4×C4313yes—
471C2×C4⋊C4—23no—
472C2×C4⋊C4C23×C4313yes—
473C2×C22⋊C4—23no—
474C2×C42C23×C4313yes—
475#107C23×C4313yes—
476#107C23×C4311yescharacteristic
477#106C23×C4313yes—
478#106C23×C4311yescharacteristic
479C4⋊C8C23×C4313yes—
480C4⋊C8C23×C4313yes—
481C4⋊C8C23×C4313yes—
482C4⋊C8C23×C4311yescharacteristic
483#103C23×C4313yes—
484#103C23×C4316yes—
485#103C23×C4313yes—
486#102C23×C4313yes—
487#102C23×C4316yes—
488#102C23×C4311yescharacteristic
489#102C23×C4313yes—
490#102C23×C4313yes—
491#102C23×C4311yescharacteristic
492#102C23×C4313yes—
493C22⋊C8C23×C4313yes—
494C22⋊C8C23×C4313yes—
495C4×C8C23×C4313yes—
496C4×C8C23×C4313yes—
497C24—23no—
498#41—24no—
499#41—412no—
500#41—46no—
501#41—46no—
502#41—412no—
503#41—44no—
504#41—44no—
505C2×Q8—23no—
506C2×Q8—44no—
507C2×Q8C2×D4×C4311yescharacteristic
508C2×Q8C24×C4313yes—
509C2×D4—26no—
510C2×D4—26no—
511C2×D4—23no—
512C2×D4—26no—
513C2×D4—23no—
514C2×D4—23no—
515C2×D4—23no—
516C2×D4—23no—
517C2×D4—23no—
518C2×D4—43no—
519C2×D4—412no—
520C2×D4C2×D4×C4313yes—
521C2×D4C24×C4313yes—
522C2×D4C24×C4313yes—
523C2×D4C24×C4311yescharacteristic
524C22×C4—23no—
525C22×C4—23no—
526C22×C4—21no—
527C22×C4—23no—
528C22×C4—23no—
529C22×C4—23no—
530C22×C4—26no—
531C22×C4—412no—
532C22×C4C2×D4×C4313yes—
533C22×C4C2×D4×C4313yes—
534C22×C4C24×C4313yes—
535SD16—26no—
536SD16—46no—
537SD16—43no—
538D8—26no—
539D8—46no—
540D8—43no—
541M16—46no—
542C2×C8C24×C4311yescharacteristic
543C2×C8C24×C4311yescharacteristic
544C2×C8C24×C4313yes—
545C2×C8C24×C4313yes—
546C4⋊C4—23no—
547C4⋊C4—23no—
548C4⋊C4—23no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—23no—
552C4⋊C4—23no—
553C4⋊C4—23no—
554C4⋊C4C2×D4×C4313yes—
555C4⋊C4C2×D4×C4313yes—
556C4⋊C4C24×C4311yescharacteristic
557C4⋊C4C24×C4311yescharacteristic
558C4⋊C4C24×C4311yescharacteristic
559C4⋊C4C24×C4313yes—
560C22⋊C4—23no—
561C22⋊C4—21no—
562C22⋊C4—23no—
563C22⋊C4—23no—
564C22⋊C4—23no—
565C22⋊C4—23no—
566C22⋊C4—23no—
567C22⋊C4—23no—
568C22⋊C4—26no—
569C22⋊C4—23no—
570C22⋊C4C2×D4×C4316yes—
571C42—23no—
572C42C2×D4×C4313yes—
573C42C2×D4×C4313yes—
574C42C24×C4313yes—
575C42C24×C4311yescharacteristic
576C23—21no—
577C23—23no—
578C23—23no—
579C23—46no—
580C23—46no—
581C23—83no—
582C23C22×D4×C4313yes—
583Q8—23no—
584Q8—23no—
585Q8—46no—
586Q8AGL(1,ℤ/8)×C4314yescomplemented
587D4—26no—
588D4—23no—
589D4—23no—
590D4—21no—
591D4—23no—
592D4—23no—
593D4—46no—
594D4—412no—
595D4—46no—
596D4—46no—
597D4—83no—
598D4—83no—
599D4—86no—
600D4—83no—
601D4H(5,𝔽2)×C4312yes—
602C2×C4—26no—
603C2×C4—23no—
604C2×C4—23no—
605C2×C4—21no—
606C2×C4—23no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—23no—
610C2×C4—43no—
611C2×C4—42no—
612C2×C4—46no—
613C2×C4—46no—
614C2×C4—46no—
615C2×C4—46no—
616C2×C4—46no—
617C2×C4—86no—
618C2×C4C22×D4×C4311yescharacteristic
619C2×C4C22×D4×C4311yescharacteristic
620C2×C4C22×D4×C4313yes—
621C2×C4C22×D4×C4313yes—
622C2×C4C22×D4×C4313yes—
623C2×C4C25×C4311yescharacteristic
624C8—23no—
625C8—23no—
626C8—21no—
627C8—21no—
628C22—23no—
629C22—22no—
630C22—23no—
631C22—23no—
632C22—41no—
633C22—41no—
634C22—43no—
635C22—43no—
636C22—43no—
637C22—43no—
638C22—43no—
639C22—43no—
640C22—812no—
641C22C23×D4×C4311yescharacteristic
642C4—23no—
643C4—21no—
644C4—21no—
645C4—23no—
646C4—43no—
647C4—41no—
648C4—43no—
649C4—41no—
650C4—41no—
651C4C2×AGL(1,ℤ/8)×C4316yes—
652C4C2×H(5,𝔽2)×C4311yescharacteristic
653C4C43×#58511yescharacteristic
654C2—43no—
655C2—42no—
656C2—83no—
657C2—83no—
658C2C43×#348811yescharacteristic
659C2C22×AGL(1,ℤ/8)×C4311yescharacteristic
660C2C43×#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×#3517C2semidirect
2. D4×#41×C43C2semidirect
3. C43×#3392C2semidirect
4. C43×#3391C2semidirect
5. C43×#3359C2semidirect
6. C43×#3358C2semidirect
7. C43×#3332C2semidirect
8. C43×#3330C2semidirect
9. C43×#3274C2semidirect
10. C43×#3272C2semidirect
11. C43×#3251C2semidirect
12. C43×#3207C2semidirect
13. C43×#3105C2semidirect
14. C43×#3036C2semidirect
15. C43×#2991C2semidirect
18. C43×#557C22semidirect
22. C43×#550C22semidirect
23. C43×#550C22semidirect
27. C43×#547C22semidirect
32. C43×#532C22semidirect
33. C43×#529C22semidirect
38. C43×#493C22semidirect
39. C43×#492C22semidirect
40. C43×#487C22semidirect
41. C43×#486C22semidirect
42. C43×#484C22semidirect
43. C43×#481C22semidirect
45. C43×#478C22semidirect
46. C43×#475C22semidirect
47. C43×#474C22semidirect
48. C43×#469C22semidirect
49. C43×#468C22semidirect
51. C43×#463C22semidirect
52. C43×#463C22semidirect
54. C43×#461C22semidirect
55. C43×#460C22semidirect
57. C43×#459C22semidirect
58. C43×#459C22semidirect
60. C43×#449C22semidirect
61. C43×#449C22semidirect
63. C8×Q8×C43C22semidirect
64. C8×Q8×C43C22semidirect
66. C4×SD16×C43C22semidirect
68. C4×D8×C43C22semidirect
69. C43×#436C22semidirect
70. C43×#436C22semidirect
71. C43×#431C22semidirect
72. C43×#423C22semidirect
73. C43×#417C22semidirect
255. Q8×C43AGL(1,ℤ/8)semidirect
297. #62003C43direct (N × H)
324. #3517C2×C43semidirect
325. D4×#41C2×C43semidirect
326. #3392C2×C43semidirect
327. #3391C2×C43semidirect
328. #3359C2×C43semidirect
329. #3358C2×C43semidirect
330. #3332C2×C43semidirect
331. #3330C2×C43semidirect
332. #3274C2×C43semidirect
333. #3272C2×C43semidirect
334. #3251C2×C43semidirect
335. #3207C2×C43semidirect
336. #3105C2×C43semidirect
337. #3036C2×C43semidirect
338. #2991C2×C43semidirect
348. #557C22×C43semidirect
352. #550C22×C43semidirect
353. #550C22×C43semidirect
357. #547C22×C43semidirect
362. #532C22×C43semidirect
363. #529C22×C43semidirect
368. #493C22×C43semidirect
369. #492C22×C43semidirect
370. #487C22×C43semidirect
371. #486C22×C43semidirect
372. #484C22×C43semidirect
373. #481C22×C43semidirect
375. #478C22×C43semidirect
376. #475C22×C43semidirect
377. #474C22×C43semidirect
378. #469C22×C43semidirect
379. #468C22×C43semidirect
381. #463C22×C43semidirect
382. #463C22×C43semidirect
384. #461C22×C43semidirect
385. #460C22×C43semidirect
387. #459C22×C43semidirect
388. #459C22×C43semidirect
390. #449C22×C43semidirect
391. #449C22×C43semidirect
393. C8×Q8C22×C43semidirect
394. C8×Q8C22×C43semidirect
396. C4×SD16C22×C43semidirect
398. C4×D8C22×C43semidirect
399. #436C22×C43semidirect
400. #436C22×C43semidirect
401. #431C22×C43semidirect
402. #423C22×C43semidirect
403. #417C22×C43semidirect
404. C43#62003direct (N × H)
586. Q8AGL(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×#35172
D4×#41×C432
C43×#33922
C43×#33912
C43×#33592
C43×#33582
C43×#33322
C43×#33302
C43×#32742
C43×#32722
C43×#32512
C43×#32072
C43×#31052
C43×#30362
C43×#29912
#6200343