Finite Group Databasebeta

← C43×#19757 #24939774

Subgroups — C43×#19757 #24939774

Order 11008.

728 conjugacy classes of subgroups.

The subgroup lattice has 638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×D8×C43C211yesmaximal, characteristic, complemented
2C43×#3294C211yesmaximal, characteristic
3D4×SD16×C43C211yesmaximal, characteristic, complemented
4C43×#3276C211yesmaximal, characteristic, complemented
5C43×#1722C211yesmaximal, characteristic, complemented
6C43×#1685C211yesmaximal, characteristic, complemented
7C43×#1682C211yesmaximal, characteristic, complemented
8C43×#1673C211yesmaximal, characteristic, complemented
9C43×#1669C211yesmaximal, characteristic, complemented
10C43×#1649C211yesmaximal, characteristic, complemented
11C43×#1647C211yesmaximal, characteristic, complemented
12C43×#1639C211yesmaximal, characteristic, complemented
13C43×#1627C211yesmaximal, characteristic, complemented
14C43×#1581C211yesmaximal, characteristic, complemented
15C43×SD16⋊C8C211yesmaximal, characteristic, complemented
16C2×#137×C43—21no—
17C22×SD16×C43—21no—
18D4×Q8×C43C2211yescharacteristic
19D4×Q8×C43C2211yescharacteristic, complemented
20C43×#547C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#500—21no—
23C43×#500C2211yescharacteristic, complemented
24C43×#500C2211yescharacteristic, complemented
25C43×#494C2211yescharacteristic, complemented
26C43×#492C2211yescharacteristic
27C43×#486C2211yescharacteristic
28C43×#486C2211yescharacteristic
29C43×#480—21no—
30C43×#474—21no—
31C43×#474—21no—
32C43×#474C2211yescharacteristic
33C43×#474C2211yescharacteristic
34C43×#474C2211yescharacteristic, complemented
35C43×#470—21no—
36C43×#466—21no—
37C43×#465—21no—
38C43×#462C2211yescharacteristic, complemented
39C43×#461C2211yescharacteristic
40C43×#461C2211yescharacteristic
41C43×#460C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#452—21no—
44C43×#451—21no—
45C43×#450—21no—
46C43×#448—21no—
47C43×#447—21no—
48C8×Q8×C43C2211yescharacteristic, complemented
49C4×SD16×C43C2211yescharacteristic
50C4×D8×C43—21no—
51C4×D8×C43C2211yescharacteristic
52C43×#436C2211yescharacteristic, complemented
53C8×D4×C43C2211yescharacteristic
54C8×D4×C43C2211yescharacteristic
55C2×#102×C43—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#335C2211yescharacteristic, complemented
58C43×#332C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#332C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic
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×Q8×C43—21no—
70C22×D4×C43—21no—
71C22×D4×C43—21no—
72#137×C43—44no—
73C2×Q16×C43—21no—
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×SD16×C43—44no—
82C2×SD16×C43D411yescharacteristic
83C2×D8×C43—21no—
84C2×D8×C43D411yescharacteristic
85C2×M16×C43—21no—
86C22×C8×C43—21no—
87C22×C8×C43—21no—
88C4⋊Q8×C43—21no—
89C4⋊Q8×C43—21no—
90C4⋊Q8×C43C2311yescharacteristic
91C4⋊Q8×C43C2311yescharacteristic
92C4⋊Q8×C43C2311yescharacteristic
93#127×C43C2311yescharacteristic
94#123×C43—41no—
95C22⋊Q8×C43—21no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—21no—
98C22⋊Q8×C43—41no—
99C22⋊Q8×C43—41no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#120×C43—41no—
104C4×Q8×C43C2311yescharacteristic
105C4×D4×C43—21no—
106C4×D4×C43—21no—
107C4×D4×C43C2311yescharacteristic
108C4×D4×C43C2311yescharacteristic
109C4×D4×C43C2311yescharacteristic
110C2×C4⋊C4×C43—21no—
111#107×C43—21no—
112#107×C43—21no—
113#107×C43—21no—
114#107×C43—21no—
115#107×C43—21no—
116#107×C43—41no—
117#107×C43D411yescharacteristic
118#106×C43D411yescharacteristic
119C4⋊C8×C43—21no—
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#103×C43D411yescharacteristic
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×C43—41no—
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138#102×C43D411yescharacteristic
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142C4×C8×C43—21no—
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C24×C43—41no—
147#41×C43—42no—
148#41×C43—81no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—41no—
153C2×Q8×C43—41no—
154C2×Q8×C43—42no—
155C2×Q8×C43—42no—
156C2×Q8×C43—81no—
157C2×Q8×C43—81no—
158C2×Q8×C43C2×D411yescharacteristic
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
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—
177C22×C4×C43—41no—
178Q16×C43—42no—
179Q16×C43—42no—
180Q16×C43—81no—
181SD16×C43—42no—
182SD16×C43—42no—
183SD16×C43—42no—
184SD16×C43—42no—
185SD16×C43—81no—
186SD16×C43D814yescomplemented
187D8×C43—22no—
188D8×C43—81no—
189M16×C43—42no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—42no—
196C2×C8×C43—81no—
197C2×C8×C43C2×D411yescharacteristic
198C2×C8×C43C2×D411yescharacteristic
199C2×C8×C43C2×D411yescharacteristic
200C2×C8×C43C2×D411yescharacteristic
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—41no—
209C4⋊C4×C43—41no—
210C4⋊C4×C43—41no—
211C4⋊C4×C43C2×D411yescharacteristic
212C4⋊C4×C43C2×D411yescharacteristic
213C4⋊C4×C43C2×D411yescharacteristic
214C4⋊C4×C43C2×D411yescharacteristic
215C22⋊C4×C43—21no—
216C22⋊C4×C43—21no—
217C22⋊C4×C43—21no—
218C22⋊C4×C43—41no—
219C22⋊C4×C43—41no—
220C22⋊C4×C43—41no—
221C22⋊C4×C43—41no—
222C42×C43—21no—
223C42×C43C2411yescharacteristic
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—41no—
228C23×C43—82no—
229C23×C43—82no—
230C23×C43—161no—
231Q8×C43—21no—
232Q8×C43—41no—
233Q8×C43—41no—
234Q8×C43—41no—
235Q8×C43—41no—
236Q8×C43—41no—
237Q8×C43—41no—
238Q8×C43—82no—
239Q8×C43—82no—
240Q8×C43C2×D812yes—
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×C43C2×D812yes—
254D4×C43#13712yescomplemented
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—41no—
269C2×C4×C43—82no—
270C2×C4×C43—82no—
271C2×C4×C43—82no—
272C2×C4×C43C22×D411yescharacteristic
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43H(5,𝔽2)11yescharacteristic
275C8×C43—21no—
276C8×C43—21no—
277C8×C43—21no—
278C8×C43—41no—
279C8×C43—41no—
280C8×C43—41no—
281C8×C43—41no—
282C8×C43—41no—
283C8×C43C2×D812yes—
284#19757C4311yesmaximal, characteristic, direct product factor, Sylow
285C22×C43—22no—
286C22×C43—22no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—81no—
295C22×C43—81no—
296C22×C43—81no—
297C22×C43—164no—
298C22×C43D4211yescharacteristic
299C4×C43—22no—
300C4×C43—21no—
301C4×C43—41no—
302C4×C43—41no—
303C4×C43—41no—
304C4×C43—41no—
305C4×C43—81no—
306C4×C43—81no—
307C4×C43—81no—
308C4×C43C22×D811yescharacteristic
309C4×C43C2×#13711yescharacteristic
310C4×C43#57611yescharacteristic
311C4×C43#57711yescharacteristic
312Q8×D8C2×C4311yescharacteristic, complemented
313#3294C2×C4311yescharacteristic
314D4×SD16C2×C4311yescharacteristic, complemented
315#3276C2×C4311yescharacteristic, complemented
316#1722C2×C4311yescharacteristic, complemented
317#1685C2×C4311yescharacteristic, complemented
318#1682C2×C4311yescharacteristic, complemented
319#1673C2×C4311yescharacteristic, complemented
320#1669C2×C4311yescharacteristic, complemented
321#1649C2×C4311yescharacteristic, complemented
322#1647C2×C4311yescharacteristic, complemented
323#1639C2×C4311yescharacteristic, complemented
324#1627C2×C4311yescharacteristic, complemented
325#1581C2×C4311yescharacteristic, complemented
326SD16⋊C8C2×C4311yescharacteristic, complemented
327C2×C43—42no—
328C2×C43—42no—
329C2×C43—81no—
330C2×C43—161no—
331C2×C43#326611yescharacteristic
332C2×C43D4×D811yescharacteristic
333C2×C43#328911yescharacteristic
334C2×#137—21no—
335C22×SD16—21no—
336D4×Q8C22×C4311yescharacteristic
337D4×Q8C22×C4311yescharacteristic, complemented
338#547C22×C4311yescharacteristic
339D42C22×C4311yescharacteristic
340#500—21no—
341#500C22×C4311yescharacteristic, complemented
342#500C22×C4311yescharacteristic, complemented
343#494C22×C4311yescharacteristic, complemented
344#492C22×C4311yescharacteristic
345#486C22×C4311yescharacteristic
346#486C22×C4311yescharacteristic
347#480—21no—
348#474—21no—
349#474—21no—
350#474C22×C4311yescharacteristic
351#474C22×C4311yescharacteristic
352#474C22×C4311yescharacteristic, complemented
353#470—21no—
354#466—21no—
355#465—21no—
356#462C22×C4311yescharacteristic, complemented
357#461C22×C4311yescharacteristic
358#461C22×C4311yescharacteristic
359#460C22×C4311yescharacteristic
360#459C22×C4311yescharacteristic
361#452—21no—
362#451—21no—
363#450—21no—
364#448—21no—
365#447—21no—
366C8×Q8C22×C4311yescharacteristic, complemented
367C4×SD16C22×C4311yescharacteristic
368C4×D8—21no—
369C4×D8C22×C4311yescharacteristic
370#436C22×C4311yescharacteristic, complemented
371C8×D4C22×C4311yescharacteristic
372C8×D4C22×C4311yescharacteristic
373C2×#102—21no—
374#335C22×C4311yescharacteristic, complemented
375#335C22×C4311yescharacteristic, complemented
376#332C22×C4311yescharacteristic, complemented
377#332C22×C4311yescharacteristic, complemented
378#332C22×C4311yescharacteristic, complemented
379#331C22×C4311yescharacteristic
380Q8⋊C8C22×C4311yescharacteristic, complemented
381D4⋊C8C22×C4311yescharacteristic
382D4⋊C8C22×C4311yescharacteristic
383D4⋊C8C22×C4311yescharacteristic, complemented
384#322C22×C4311yescharacteristic, complemented
385C43#1975711yescharacteristic, direct product factor, Sylow
386C2×#41—21no—
387C22×Q8—21no—
388C22×Q8—21no—
389C22×D4—21no—
390C22×D4—21no—
391#137—44no—
392C2×Q16—21no—
393C2×Q16—21no—
394C2×Q16—21no—
395C2×SD16—21no—
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16—44no—
401C2×SD16D4×C4311yescharacteristic
402C2×D8—21no—
403C2×D8D4×C4311yescharacteristic
404C2×M16—21no—
405C22×C8—21no—
406C22×C8—21no—
407C4⋊Q8—21no—
408C4⋊Q8—21no—
409C4⋊Q8C23×C4311yescharacteristic
410C4⋊Q8C23×C4311yescharacteristic
411C4⋊Q8C23×C4311yescharacteristic
412#127C23×C4311yescharacteristic
413#123—41no—
414C22⋊Q8—21no—
415C22⋊Q8—21no—
416C22⋊Q8—21no—
417C22⋊Q8—41no—
418C22⋊Q8—41no—
419#121—21no—
420#121—21no—
421#121—21no—
422#120—41no—
423C4×Q8C23×C4311yescharacteristic
424C4×D4—21no—
425C4×D4—21no—
426C4×D4C23×C4311yescharacteristic
427C4×D4C23×C4311yescharacteristic
428C4×D4C23×C4311yescharacteristic
429C2×C4⋊C4—21no—
430#107—21no—
431#107—21no—
432#107—21no—
433#107—21no—
434#107—21no—
435#107—41no—
436#107D4×C4311yescharacteristic
437#106D4×C4311yescharacteristic
438C4⋊C8—21no—
439C4⋊C8C23×C4311yescharacteristic
440C4⋊C8C23×C4311yescharacteristic
441C4⋊C8C23×C4311yescharacteristic
442C4⋊C8C23×C4311yescharacteristic
443#103—21no—
444#103—21no—
445#103—21no—
446#103D4×C4311yescharacteristic
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—41no—
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—21no—
471C2×Q8—41no—
472C2×Q8—41no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8—81no—
476C2×Q8—81no—
477C2×Q8C2×D4×C4311yescharacteristic
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—41no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4C2×D4×C4311yescharacteristic
489C2×D4C2×D4×C4311yescharacteristic
490C2×D4C2×D4×C4311yescharacteristic
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497Q16—42no—
498Q16—42no—
499Q16—81no—
500SD16—42no—
501SD16—42no—
502SD16—42no—
503SD16—42no—
504SD16—81no—
505SD16D8×C4314yescomplemented
506D8—22no—
507D8—81no—
508M16—42no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—42no—
515C2×C8—81no—
516C2×C8C2×D4×C4311yescharacteristic
517C2×C8C2×D4×C4311yescharacteristic
518C2×C8C2×D4×C4311yescharacteristic
519C2×C8C2×D4×C4311yescharacteristic
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—41no—
530C4⋊C4C2×D4×C4311yescharacteristic
531C4⋊C4C2×D4×C4311yescharacteristic
532C4⋊C4C2×D4×C4311yescharacteristic
533C4⋊C4C2×D4×C4311yescharacteristic
534C22⋊C4—21no—
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C42—21no—
542C42C24×C4311yescharacteristic
543C23—21no—
544C23—21no—
545C23—21no—
546C23—41no—
547C23—82no—
548C23—82no—
549C23—161no—
550Q8—21no—
551Q8—41no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—41no—
556Q8—41no—
557Q8—82no—
558Q8—82no—
559Q8C2×D8×C4312yes—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—82no—
572D4C2×D8×C4312yes—
573D4#137×C4312yescomplemented
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
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×C4—82no—
591C2×C4C22×D4×C4311yescharacteristic
592C2×C4C22×D4×C4311yescharacteristic
593C2×C4H(5,𝔽2)×C4311yescharacteristic
594C8—21no—
595C8—21no—
596C8—21no—
597C8—41no—
598C8—41no—
599C8—41no—
600C8—41no—
601C8—41no—
602C8C2×D8×C4312yes—
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—164no—
616C22D42×C4311yescharacteristic
617C4—22no—
618C4—21no—
619C4—41no—
620C4—41no—
621C4—41no—
622C4—41no—
623C4—81no—
624C4—81no—
625C4—81no—
626C4C22×D8×C4311yescharacteristic
627C4C2×#137×C4311yescharacteristic
628C4C43×#57611yescharacteristic
629C4C43×#57711yescharacteristic
630C2—42no—
631C2—42no—
632C2—81no—
633C2—161no—
634C2C43×#326611yescharacteristic
635C2D4×D8×C4311yescharacteristic
636C2C43×#328911yescharacteristic
subgroupG/H
center, socleC22×C43D42
commutator, Frattini, cosocleC42C24×C43
prime radicalC43×#3294C2
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. Q8×D8×C43C2semidirect
3. D4×SD16×C43C2semidirect
4. C43×#3276C2semidirect
5. C43×#1722C2semidirect
6. C43×#1685C2semidirect
7. C43×#1682C2semidirect
8. C43×#1673C2semidirect
9. C43×#1669C2semidirect
10. C43×#1649C2semidirect
11. C43×#1647C2semidirect
12. C43×#1639C2semidirect
13. C43×#1627C2semidirect
14. C43×#1581C2semidirect
15. C43×SD16⋊C8C2semidirect
19. D4×Q8×C43C22semidirect
23. C43×#500C22semidirect
24. C43×#500C22semidirect
25. C43×#494C22semidirect
34. C43×#474C22semidirect
38. C43×#462C22semidirect
48. C8×Q8×C43C22semidirect
52. C43×#436C22semidirect
56. C43×#335C22semidirect
57. C43×#335C22semidirect
58. C43×#332C22semidirect
59. C43×#332C22semidirect
60. C43×#332C22semidirect
62. C43×Q8⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
186. SD16×C43D8semidirect
254. D4×C43#137semidirect
284. #19757C43direct (N × H)
312. Q8×D8C2×C43semidirect
314. D4×SD16C2×C43semidirect
315. #3276C2×C43semidirect
316. #1722C2×C43semidirect
317. #1685C2×C43semidirect
318. #1682C2×C43semidirect
319. #1673C2×C43semidirect
320. #1669C2×C43semidirect
321. #1649C2×C43semidirect
322. #1647C2×C43semidirect
323. #1639C2×C43semidirect
324. #1627C2×C43semidirect
325. #1581C2×C43semidirect
326. SD16⋊C8C2×C43semidirect
337. D4×Q8C22×C43semidirect
341. #500C22×C43semidirect
342. #500C22×C43semidirect
343. #494C22×C43semidirect
352. #474C22×C43semidirect
356. #462C22×C43semidirect
366. C8×Q8C22×C43semidirect
370. #436C22×C43semidirect
374. #335C22×C43semidirect
375. #335C22×C43semidirect
376. #332C22×C43semidirect
377. #332C22×C43semidirect
378. #332C22×C43semidirect
380. Q8⋊C8C22×C43semidirect
383. D4⋊C8C22×C43semidirect
384. #322C22×C43semidirect
385. C43#19757direct (N × H)
505. SD16D8×C43semidirect
573. D4#137×C43semidirect

Maximal subgroups

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

subgroupindex
Q8×D8×C432
C43×#32942
D4×SD16×C432
C43×#32762
C43×#17222
C43×#16852
C43×#16822
C43×#16732
C43×#16692
C43×#16492
C43×#16472
C43×#16392
C43×#16272
C43×#15812
C43×SD16⋊C82
#1975743