Finite Group Databasebeta

← C43×#19758 #24939775

Subgroups — C43×#19758 #24939775

Order 11008.

736 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3334C211yesmaximal, characteristic, complemented
2C43×#3294C211yesmaximal, characteristic, complemented
3C43×#3283C211yesmaximal, characteristic, complemented
4C43×#3272C211yesmaximal, characteristic, complemented
5C43×#1722C211yesmaximal, characteristic, complemented
6C43×#1689C211yesmaximal, characteristic, complemented
7C43×#1681C211yesmaximal, characteristic, complemented
8C43×#1673C211yesmaximal, characteristic, complemented
9C43×#1665C211yesmaximal, characteristic, complemented
10C43×#1647C211yesmaximal, characteristic, complemented
11C43×#1647C211yesmaximal, characteristic, complemented
12C43×#1639C211yesmaximal, characteristic, complemented
13C43×#1625C211yesmaximal, characteristic, complemented
14C43×#1581C211yesmaximal, characteristic, complemented
15C43×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C2×#135×C43—21no—
18C43×#547C2211yescharacteristic
19C43×#547C2211yescharacteristic
20C43×#547C2211yescharacteristic, complemented
21D42×C43C2211yescharacteristic
22C43×#500C2211yescharacteristic, complemented
23C43×#500C2211yescharacteristic, complemented
24C43×#494C2211yescharacteristic, complemented
25C43×#492C2211yescharacteristic
26C43×#486C2211yescharacteristic
27C43×#486C2211yescharacteristic
28C43×#480—21no—
29C43×#480—21no—
30C43×#480—21no—
31C43×#474C2211yescharacteristic
32C43×#474C2211yescharacteristic
33C43×#474C2211yescharacteristic, complemented
34C43×#468—21no—
35C43×#467—21no—
36C43×#466—21no—
37C43×#466—21no—
38C43×#461C2211yescharacteristic
39C43×#461C2211yescharacteristic
40C43×#461C2211yescharacteristic, complemented
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#452—21no—
44C43×#452—21no—
45C43×#450—21no—
46C43×#449—21no—
47C43×#447—21no—
48C4×D8×C43C2211yescharacteristic
49C4×D8×C43C2211yescharacteristic
50C43×#436C2211yescharacteristic
51C8×D4×C43C2211yescharacteristic
52C8×D4×C43C2211yescharacteristic, complemented
53C8×D4×C43C2211yescharacteristic, complemented
54C2×#107×C43—21no—
55C2×#102×C43—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#332C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#332C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic
62C43×D4⋊C8C2211yescharacteristic
63C43×D4⋊C8C2211yescharacteristic
64C43×D4⋊C8C2211yescharacteristic, complemented
65C43×D4⋊C8C2211yescharacteristic, complemented
66C43×#322C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C2×#41×C43—21no—
69C2×#41×C43—21no—
70C22×D4×C43—21no—
71C22×D4×C43—21no—
72AGL(1,ℤ/8)×C43—44no—
73#135×C43—44no—
74C2×Q16×C43—21no—
75C2×Q16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43—21no—
78C2×SD16×C43—21no—
79C2×SD16×C43—21no—
80C2×SD16×C43—21no—
81C2×D8×C43—21no—
82C2×D8×C43—21no—
83C2×D8×C43D411yescharacteristic
84C2×D8×C43D411yescharacteristic
85C2×M16×C43—21no—
86C22×C8×C43—21no—
87C22×C8×C43—21no—
88C22×C8×C43—21no—
89C4⋊Q8×C43C2311yescharacteristic
90C4⋊Q8×C43C2311yescharacteristic
91C4⋊Q8×C43C2311yescharacteristic
92#127×C43C2311yescharacteristic
93#123×C43—41no—
94#123×C43—41no—
95#123×C43—41no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—21no—
98C22⋊Q8×C43—21no—
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#121×C43—21no—
104#120×C43—41no—
105C4×D4×C43C2311yescharacteristic
106C4×D4×C43C2311yescharacteristic
107C4×D4×C43C2311yescharacteristic
108C4×D4×C43C2311yescharacteristic
109C2×C4⋊C4×C43—21no—
110C2×C4⋊C4×C43—21no—
111C2×C4⋊C4×C43—21no—
112#107×C43—21no—
113#107×C43—21no—
114#107×C43—21no—
115#107×C43—21no—
116#107×C43—21no—
117#107×C43—41no—
118#107×C43D411yescharacteristic
119#107×C43D411yescharacteristic
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#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
138#102×C43D411yescharacteristic
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142C22⋊C8×C43—21no—
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C24×C43—41no—
147#41×C43—42no—
148#41×C43—42no—
149#41×C43—42no—
150#41×C43—81no—
151#41×C43—81no—
152#41×C43—81no—
153C2×Q8×C43—21no—
154C2×Q8×C43—21no—
155C2×Q8×C43—21no—
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—41no—
163C2×D4×C43—41no—
164C2×D4×C43—42no—
165C2×D4×C43—42no—
166C2×D4×C43—81no—
167C2×D4×C43—81no—
168C2×D4×C43C2×D411yescharacteristic
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—21no—
176C22×C4×C43—41no—
177C22×C4×C43—41no—
178C22×C4×C43—41no—
179Q16×C43—42no—
180Q16×C43—81no—
181SD16×C43—42no—
182SD16×C43—42no—
183SD16×C43—42no—
184SD16×C43—42no—
185SD16×C43—81no—
186D8×C43—41no—
187D8×C43—42no—
188D8×C43—81no—
189D8×C43D814yescomplemented
190M16×C43—42no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—42no—
197C2×C8×C43—42no—
198C2×C8×C43—81no—
199C2×C8×C43C2×D411yescharacteristic
200C2×C8×C43C2×D411yescharacteristic
201C2×C8×C43C2×D411yescharacteristic
202C2×C8×C43C2×D411yescharacteristic
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—41no—
210C4⋊C4×C43—41no—
211C4⋊C4×C43—41no—
212C4⋊C4×C43C2×D411yescharacteristic
213C4⋊C4×C43C2×D411yescharacteristic
214C4⋊C4×C43C2×D411yescharacteristic
215C4⋊C4×C43C2×D411yescharacteristic
216C22⋊C4×C43—21no—
217C22⋊C4×C43—21no—
218C22⋊C4×C43—21no—
219C22⋊C4×C43—21no—
220C22⋊C4×C43—41no—
221C22⋊C4×C43—41no—
222C22⋊C4×C43—41no—
223C22⋊C4×C43—41no—
224C42×C43C2411yescharacteristic
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—41no—
230C23×C43—82no—
231C23×C43—82no—
232C23×C43—161no—
233Q8×C43—41no—
234Q8×C43—41no—
235Q8×C43—41no—
236Q8×C43—41no—
237Q8×C43—41no—
238Q8×C43—41no—
239D4×C43—21no—
240D4×C43—21no—
241D4×C43—21no—
242D4×C43—21no—
243D4×C43—21no—
244D4×C43—21no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—81no—
250D4×C43—82no—
251D4×C43—82no—
252D4×C43—82no—
253D4×C43—82no—
254D4×C43—82no—
255D4×C43C2×D812yes—
256D4×C43C2×D812yes—
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—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—82no—
273C2×C4×C43—82no—
274C2×C4×C43—82no—
275C2×C4×C43C22×D411yescharacteristic
276C2×C4×C43C22×D411yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C8×C43—21no—
279C8×C43—21no—
280C8×C43—21no—
281C8×C43—41no—
282C8×C43—41no—
283C8×C43—41no—
284C8×C43—41no—
285C8×C43—41no—
286C8×C43C2×D812yes—
287#19758C4311yesmaximal, characteristic, direct product factor, Sylow
288C22×C43—22no—
289C22×C43—22no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—41no—
298C22×C43—41no—
299C22×C43—41no—
300C22×C43—81no—
301C22×C43—81no—
302C22×C43—81no—
303C22×C43—164no—
304C22×C43D4211yescharacteristic
305C4×C43—21no—
306C4×C43—41no—
307C4×C43—41no—
308C4×C43—41no—
309C4×C43—41no—
310C4×C43—81no—
311C4×C43—81no—
312C4×C43—81no—
313C4×C43C22×D811yescharacteristic
314C4×C43#57511yescharacteristic
315C4×C43#57611yescharacteristic
316C4×C43#57711yescharacteristic
317#3334C2×C4311yescharacteristic, complemented
318#3294C2×C4311yescharacteristic, complemented
319#3283C2×C4311yescharacteristic, complemented
320#3272C2×C4311yescharacteristic, complemented
321#1722C2×C4311yescharacteristic, complemented
322#1689C2×C4311yescharacteristic, complemented
323#1681C2×C4311yescharacteristic, complemented
324#1673C2×C4311yescharacteristic, complemented
325#1665C2×C4311yescharacteristic, complemented
326#1647C2×C4311yescharacteristic, complemented
327#1647C2×C4311yescharacteristic, complemented
328#1639C2×C4311yescharacteristic, complemented
329#1625C2×C4311yescharacteristic, complemented
330#1581C2×C4311yescharacteristic, complemented
331#1580C2×C4311yescharacteristic, complemented
332C2×C43—42no—
333C2×C43—42no—
334C2×C43—81no—
335C2×C43—81no—
336C2×C43—161no—
337C2×C43#326711yescharacteristic
338C2×C43D4×D811yescharacteristic
339C2×C43#328911yescharacteristic
340C2×AGL(1,ℤ/8)—21no—
341C2×#135—21no—
342#547C22×C4311yescharacteristic
343#547C22×C4311yescharacteristic
344#547C22×C4311yescharacteristic, complemented
345D42C22×C4311yescharacteristic
346#500C22×C4311yescharacteristic, complemented
347#500C22×C4311yescharacteristic, complemented
348#494C22×C4311yescharacteristic, complemented
349#492C22×C4311yescharacteristic
350#486C22×C4311yescharacteristic
351#486C22×C4311yescharacteristic
352#480—21no—
353#480—21no—
354#480—21no—
355#474C22×C4311yescharacteristic
356#474C22×C4311yescharacteristic
357#474C22×C4311yescharacteristic, complemented
358#468—21no—
359#467—21no—
360#466—21no—
361#466—21no—
362#461C22×C4311yescharacteristic
363#461C22×C4311yescharacteristic
364#461C22×C4311yescharacteristic, complemented
365#459C22×C4311yescharacteristic
366#459C22×C4311yescharacteristic
367#452—21no—
368#452—21no—
369#450—21no—
370#449—21no—
371#447—21no—
372C4×D8C22×C4311yescharacteristic
373C4×D8C22×C4311yescharacteristic
374#436C22×C4311yescharacteristic
375C8×D4C22×C4311yescharacteristic
376C8×D4C22×C4311yescharacteristic, complemented
377C8×D4C22×C4311yescharacteristic, complemented
378C2×#107—21no—
379C2×#102—21no—
380#335C22×C4311yescharacteristic, complemented
381#334C22×C4311yescharacteristic, complemented
382#332C22×C4311yescharacteristic, complemented
383#332C22×C4311yescharacteristic, complemented
384#332C22×C4311yescharacteristic, complemented
385#331C22×C4311yescharacteristic
386D4⋊C8C22×C4311yescharacteristic
387D4⋊C8C22×C4311yescharacteristic
388D4⋊C8C22×C4311yescharacteristic, complemented
389D4⋊C8C22×C4311yescharacteristic, complemented
390#322C22×C4311yescharacteristic, complemented
391C43#1975811yescharacteristic, direct product factor, Sylow
392C2×#41—21no—
393C2×#41—21no—
394C2×#41—21no—
395C22×D4—21no—
396C22×D4—21no—
397AGL(1,ℤ/8)—44no—
398#135—44no—
399C2×Q16—21no—
400C2×Q16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8D4×C4311yescharacteristic
409C2×D8D4×C4311yescharacteristic
410C2×M16—21no—
411C22×C8—21no—
412C22×C8—21no—
413C22×C8—21no—
414C4⋊Q8C23×C4311yescharacteristic
415C4⋊Q8C23×C4311yescharacteristic
416C4⋊Q8C23×C4311yescharacteristic
417#127C23×C4311yescharacteristic
418#123—41no—
419#123—41no—
420#123—41no—
421C22⋊Q8—21no—
422C22⋊Q8—21no—
423C22⋊Q8—21no—
424#121—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#120—41no—
430C4×D4C23×C4311yescharacteristic
431C4×D4C23×C4311yescharacteristic
432C4×D4C23×C4311yescharacteristic
433C4×D4C23×C4311yescharacteristic
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437#107—21no—
438#107—21no—
439#107—21no—
440#107—21no—
441#107—21no—
442#107—41no—
443#107D4×C4311yescharacteristic
444#107D4×C4311yescharacteristic
445C4⋊C8C23×C4311yescharacteristic
446C4⋊C8C23×C4311yescharacteristic
447C4⋊C8C23×C4311yescharacteristic
448C4⋊C8C23×C4311yescharacteristic
449#103—21no—
450#103—21no—
451#103—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—41no—
460#102D4×C4311yescharacteristic
461#102D4×C4311yescharacteristic
462#102D4×C4311yescharacteristic
463#102D4×C4311yescharacteristic
464C22⋊C8—21no—
465C22⋊C8—21no—
466C22⋊C8—21no—
467C22⋊C8—21no—
468C4×C8C23×C4311yescharacteristic
469C4×C8C23×C4311yescharacteristic
470C4×C8C23×C4311yescharacteristic
471C24—41no—
472#41—42no—
473#41—42no—
474#41—42no—
475#41—81no—
476#41—81no—
477#41—81no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—81no—
492C2×D4—81no—
493C2×D4C2×D4×C4311yescharacteristic
494C2×D4C2×D4×C4311yescharacteristic
495C2×D4C2×D4×C4311yescharacteristic
496C2×D4C2×D4×C4311yescharacteristic
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504Q16—42no—
505Q16—81no—
506SD16—42no—
507SD16—42no—
508SD16—42no—
509SD16—42no—
510SD16—81no—
511D8—41no—
512D8—42no—
513D8—81no—
514D8D8×C4314yescomplemented
515M16—42no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—42no—
522C2×C8—42no—
523C2×C8—81no—
524C2×C8C2×D4×C4311yescharacteristic
525C2×C8C2×D4×C4311yescharacteristic
526C2×C8C2×D4×C4311yescharacteristic
527C2×C8C2×D4×C4311yescharacteristic
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4C2×D4×C4311yescharacteristic
538C4⋊C4C2×D4×C4311yescharacteristic
539C4⋊C4C2×D4×C4311yescharacteristic
540C4⋊C4C2×D4×C4311yescharacteristic
541C22⋊C4—21no—
542C22⋊C4—21no—
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C42C24×C4311yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—82no—
556C23—82no—
557C23—161no—
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564D4—21no—
565D4—21no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—81no—
575D4—82no—
576D4—82no—
577D4—82no—
578D4—82no—
579D4—82no—
580D4C2×D8×C4312yes—
581D4C2×D8×C4312yes—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—82no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C22×D4×C4311yescharacteristic
601C2×C4C22×D4×C4311yescharacteristic
602C2×C4H(5,𝔽2)×C4311yescharacteristic
603C8—21no—
604C8—21no—
605C8—21no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8—41no—
611C8C2×D8×C4312yes—
612C22—22no—
613C22—22no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22D42×C4311yescharacteristic
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C22×D8×C4311yescharacteristic
638C4C43×#57511yescharacteristic
639C4C43×#57611yescharacteristic
640C4C43×#57711yescharacteristic
641C2—42no—
642C2—42no—
643C2—81no—
644C2—81no—
645C2—161no—
646C2C43×#326711yescharacteristic
647C2D4×D8×C4311yescharacteristic
648C2C43×#328911yescharacteristic
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×#3334C2semidirect
2. C43×#3294C2semidirect
3. C43×#3283C2semidirect
4. C43×#3272C2semidirect
5. C43×#1722C2semidirect
6. C43×#1689C2semidirect
7. C43×#1681C2semidirect
8. C43×#1673C2semidirect
9. C43×#1665C2semidirect
10. C43×#1647C2semidirect
11. C43×#1647C2semidirect
12. C43×#1639C2semidirect
13. C43×#1625C2semidirect
14. C43×#1581C2semidirect
15. C43×#1580C2semidirect
20. C43×#547C22semidirect
22. C43×#500C22semidirect
23. C43×#500C22semidirect
24. C43×#494C22semidirect
33. C43×#474C22semidirect
40. C43×#461C22semidirect
52. C8×D4×C43C22semidirect
53. C8×D4×C43C22semidirect
56. C43×#335C22semidirect
57. C43×#334C22semidirect
58. C43×#332C22semidirect
59. C43×#332C22semidirect
60. C43×#332C22semidirect
64. C43×D4⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
189. D8×C43D8semidirect
287. #19758C43direct (N × H)
317. #3334C2×C43semidirect
318. #3294C2×C43semidirect
319. #3283C2×C43semidirect
320. #3272C2×C43semidirect
321. #1722C2×C43semidirect
322. #1689C2×C43semidirect
323. #1681C2×C43semidirect
324. #1673C2×C43semidirect
325. #1665C2×C43semidirect
326. #1647C2×C43semidirect
327. #1647C2×C43semidirect
328. #1639C2×C43semidirect
329. #1625C2×C43semidirect
330. #1581C2×C43semidirect
331. #1580C2×C43semidirect
344. #547C22×C43semidirect
346. #500C22×C43semidirect
347. #500C22×C43semidirect
348. #494C22×C43semidirect
357. #474C22×C43semidirect
364. #461C22×C43semidirect
376. C8×D4C22×C43semidirect
377. C8×D4C22×C43semidirect
380. #335C22×C43semidirect
381. #334C22×C43semidirect
382. #332C22×C43semidirect
383. #332C22×C43semidirect
384. #332C22×C43semidirect
388. D4⋊C8C22×C43semidirect
389. D4⋊C8C22×C43semidirect
390. #322C22×C43semidirect
391. C43#19758direct (N × H)
514. D8D8×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#33342
C43×#32942
C43×#32832
C43×#32722
C43×#17222
C43×#16892
C43×#16812
C43×#16732
C43×#16652
C43×#16472
C43×#16392
C43×#16252
C43×#15812
C43×#15802
#1975843