Finite Group Databasebeta

← C43×#18254 #24938271

Subgroups — C43×#18254 #24938271

Order 11008.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3537C211yesmaximal, characteristic, complemented
2C43×#3003C211yesmaximal, characteristic, complemented
3C2×C43×#447C211yesmaximal, characteristic, complemented
4C43×#2433C211yesmaximal, characteristic, complemented
5C43×#1600C214yesmaximal, complemented
6C43×#1595C214yesmaximal, complemented
7C43×#1507C211yesmaximal, characteristic, complemented
8C43×#1501C211yesmaximal, characteristic, complemented
9C43×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C43C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C43—21no—
12C22×D8×C43—21no—
13C43×#560—22no—
14C43×#553—21no—
15C43×#553—21no—
16D42×C43—22no—
17D42×C43—21no—
18D42×C43—21no—
19C43×#540—21no—
20C43×#538—21no—
21C43×#538C2212yescomplemented
22C43×#535—21no—
23C43×#534—21no—
24C43×#534C2212yescomplemented
25C2×#127×C43—21no—
26C43×#525C2211yescharacteristic
27C2×#121×C43C2211yescharacteristic
28C2×#121×C43C2211yescharacteristic
29C2×#120×C43—22no—
30C43×#450—21no—
31C43×#450C2212yescomplemented
32C43×#447—22no—
33C43×#447—21no—
34C43×#447C2212yescomplemented
35C43×#447C2214yescomplemented
36C43×#418—21no—
37C2×#102×C43—21no—
38C43×#407C2211yescharacteristic, complemented
39C2×C22⋊C8×C43C2211yescharacteristic, complemented
40C43×#392C2214yescomplemented
41C43×#390—21no—
42C4×C22⋊C4×C43C2211yescharacteristic, complemented
43C43×#328C2212yescomplemented
44C43×#327C2212yescomplemented
45C43×#327C2214yescomplemented
46C43×#323C2214yescomplemented
47C25×C43—21no—
48C2×#41×C43D411yescharacteristic, complemented
49C22×D4×C43—22no—
50C22×D4×C43—21no—
51C22×D4×C43—21no—
52C22×D4×C43—22no—
53C22×D4×C43—24no—
54C22×D4×C43—21no—
55C22×D4×C43—21no—
56C22×D4×C43—21no—
57C22×D4×C43—21no—
58C22×D4×C43—21no—
59C22×D4×C43—44no—
60C22×D4×C43D412yes—
61C22×D4×C43D411yescharacteristic
62C22×D4×C43D411yescharacteristic, complemented
63C22×D4×C43C2312yes—
64C23×C4×C43C2311yescharacteristic
65AGL(1,ℤ/8)×C43—44no—
66C2×SD16×C43—22no—
67C2×D8×C43—24no—
68C2×D8×C43—22no—
69C2×D8×C43—44no—
70C2×M16×C43—21no—
71C22×C8×C43—21no—
72#127×C43—22no—
73#127×C43—21no—
74#127×C43—44no—
75#126×C43—22no—
76#126×C43—22no—
77#125×C43—21no—
78#124×C43—22no—
79#123×C43—22no—
80#123×C43—21no—
81#123×C43—22no—
82#123×C43—22no—
83#123×C43—22no—
84C22⋊Q8×C43D411yescharacteristic, complemented
85C22⋊Q8×C43C2311yescharacteristic
86#121×C43—22no—
87#121×C43—21no—
88#121×C43—21no—
89#121×C43—22no—
90#121×C43—22no—
91#121×C43—22no—
92#121×C43—22no—
93#121×C43—21no—
94#121×C43—21no—
95#121×C43—21no—
96#121×C43—21no—
97#121×C43—21no—
98#121×C43—21no—
99#121×C43—22no—
100#121×C43D412yescomplemented
101#121×C43D411yescharacteristic, complemented
102#121×C43C2312yes—
103#121×C43C2311yescharacteristic
104#120×C43—22no—
105#120×C43—22no—
106#120×C43—22no—
107#120×C43—21no—
108#120×C43—22no—
109#120×C43—22no—
110#120×C43—22no—
111#120×C43—48no—
112C4×D4×C43—22no—
113C4×D4×C43—21no—
114C4×D4×C43—21no—
115C4×D4×C43—21no—
116C4×D4×C43—21no—
117C4×D4×C43—22no—
118#117×C43—21no—
119#117×C43D411yescharacteristic, complemented
120C2×C4⋊C4×C43D411yescharacteristic
121C2×C4⋊C4×C43D411yescharacteristic, complemented
122C2×C22⋊C4×C43—21no—
123C2×C22⋊C4×C43—21no—
124C2×C22⋊C4×C43—24no—
125C2×C22⋊C4×C43C2312yes—
126C2×C42×C43—21no—
127#102×C43—24no—
128#102×C43—22no—
129#102×C43—22no—
130C22⋊C8×C43—21no—
131C22⋊C8×C43—21no—
132C22⋊C8×C43C2312yes—
133C22⋊C8×C43C2312yes—
134#95×C43C2312yes—
135C24×C43—22no—
136C24×C43—22no—
137C24×C43—21no—
138C24×C43—44no—
139C24×C43—44no—
140C24×C43—41no—
141C24×C43—41no—
142C24×C43—82no—
143C24×C43C2×D411yescharacteristic
144C24×C43C2×D412yes—
145#41×C43—42no—
146C2×Q8×C43C2×D411yescharacteristic
147C2×D4×C43—24no—
148C2×D4×C43—22no—
149C2×D4×C43—22no—
150C2×D4×C43—22no—
151C2×D4×C43—22no—
152C2×D4×C43—22no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—22no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—22no—
160C2×D4×C43—22no—
161C2×D4×C43—21no—
162C2×D4×C43—22no—
163C2×D4×C43—24no—
164C2×D4×C43—24no—
165C2×D4×C43—22no—
166C2×D4×C43—22no—
167C2×D4×C43—44no—
168C2×D4×C43—44no—
169C2×D4×C43—48no—
170C2×D4×C43—42no—
171C2×D4×C43—42no—
172C2×D4×C43—42no—
173C2×D4×C43—42no—
174C2×D4×C43—48no—
175C2×D4×C43—44no—
176C2×D4×C43—44no—
177C2×D4×C43—41no—
178C2×D4×C43—41no—
179C2×D4×C43—42no—
180C2×D4×C43—84no—
181C2×D4×C43—82no—
182C2×D4×C43—84no—
183C2×D4×C43—84no—
184C2×D4×C43—82no—
185C2×D4×C43C2×D411yescharacteristic
186C2×D4×C43C2×D412yes—
187C22×C4×C43—22no—
188C22×C4×C43—22no—
189C22×C4×C43—21no—
190C22×C4×C43—21no—
191C22×C4×C43—22no—
192C22×C4×C43—42no—
193C22×C4×C43C2×D411yescharacteristic
194C22×C4×C43C2×D411yescharacteristic
195C22×C4×C43C2×D411yescharacteristic
196C22×C4×C43C2×D411yescharacteristic
197C22×C4×C43C2×D411yescharacteristic
198C22×C4×C43C2×D412yes—
199C22×C4×C43C2411yescharacteristic
200SD16×C43—44no—
201D8×C43—48no—
202D8×C43—44no—
203M16×C43—42no—
204C2×C8×C43—22no—
205C2×C8×C43—22no—
206C2×C8×C43—42no—
207C4⋊C4×C43—22no—
208C4⋊C4×C43—22no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43—21no—
211C4⋊C4×C43—21no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43C2×D412yes—
215C4⋊C4×C43C2×D411yescharacteristic
216C4⋊C4×C43C2×D411yescharacteristic
217C22⋊C4×C43—24no—
218C22⋊C4×C43—22no—
219C22⋊C4×C43—22no—
220C22⋊C4×C43—22no—
221C22⋊C4×C43—22no—
222C22⋊C4×C43—22no—
223C22⋊C4×C43—22no—
224C22⋊C4×C43—21no—
225C22⋊C4×C43—22no—
226C22⋊C4×C43—22no—
227C22⋊C4×C43—22no—
228C22⋊C4×C43—21no—
229C22⋊C4×C43—21no—
230C22⋊C4×C43—21no—
231C22⋊C4×C43—21no—
232C22⋊C4×C43—48no—
233C42×C43—22no—
234C42×C43—21no—
235C42×C43—42no—
236C23×C43—22no—
237C23×C43—22no—
238C23×C43—24no—
239C23×C43—22no—
240C23×C43—22no—
241C23×C43—21no—
242C23×C43—24no—
243C23×C43—41no—
244C23×C43—44no—
245C23×C43—44no—
246C23×C43—44no—
247C23×C43—42no—
248C23×C43—42no—
249C23×C43—42no—
250C23×C43—42no—
251C23×C43—44no—
252C23×C43—42no—
253C23×C43—81no—
254C23×C43—81no—
255C23×C43—82no—
256C23×C43—82no—
257C23×C43—82no—
258C23×C43—82no—
259C23×C43—82no—
260C23×C43—82no—
261C23×C43—816no—
262C23×C43—82no—
263C23×C43#12011yescharacteristic
264C23×C43#12011yescharacteristic
265C23×C43C22×D411yescharacteristic
266Q8×C43—41no—
267D4×C43—24no—
268D4×C43—24no—
269D4×C43—42no—
270D4×C43—41no—
271D4×C43—42no—
272D4×C43—42no—
273D4×C43—44no—
274D4×C43—44no—
275D4×C43—42no—
276D4×C43—44no—
277D4×C43—42no—
278D4×C43—44no—
279D4×C43—42no—
280D4×C43—42no—
281D4×C43—81no—
282D4×C43—82no—
283D4×C43—82no—
284D4×C43—81no—
285D4×C43—82no—
286D4×C43—82no—
287D4×C43—82no—
288D4×C43—82no—
289D4×C43—82no—
290D4×C43—816no—
291C2×C4×C43—22no—
292C2×C4×C43—22no—
293C2×C4×C43—22no—
294C2×C4×C43—24no—
295C2×C4×C43—21no—
296C2×C4×C43—22no—
297C2×C4×C43—22no—
298C2×C4×C43—21no—
299C2×C4×C43—21no—
300C2×C4×C43—41no—
301C2×C4×C43—41no—
302C2×C4×C43—41no—
303C2×C4×C43—42no—
304C2×C4×C43—42no—
305C2×C4×C43—42no—
306C2×C4×C43—42no—
307C2×C4×C43—81no—
308C2×C4×C43—82no—
309C2×C4×C43—82no—
310C2×C4×C43#12011yescharacteristic
311C2×C4×C43#12011yescharacteristic
312C2×C4×C43C22×D411yescharacteristic
313C2×C4×C43C22×D411yescharacteristic
314C8×C43—42no—
315C8×C43—42no—
316#18254C4311yesmaximal, characteristic, direct product factor, Sylow
317C22×C43—21no—
318C22×C43—21no—
319C22×C43—21no—
320C22×C43—21no—
321C22×C43—21no—
322C22×C43—21no—
323C22×C43—21no—
324C22×C43—44no—
325C22×C43—48no—
326C22×C43—42no—
327C22×C43—42no—
328C22×C43—41no—
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—41no—
332C22×C43—44no—
333C22×C43—42no—
334C22×C43—41no—
335C22×C43—42no—
336C22×C43—84no—
337C22×C43—84no—
338C22×C43—88no—
339C22×C43—88no—
340C22×C43—82no—
341C22×C43—82no—
342C22×C43—162no—
343C22×C43—164no—
344C22×C43#45312yes—
345C22×C43C2×#12011yescharacteristic
346C22×C43#57612yes—
347C4×C43—21no—
348C4×C43—21no—
349C4×C43—21no—
350C4×C43—44no—
351C4×C43—42no—
352C4×C43—41no—
353C4×C43—42no—
354C4×C43—41no—
355C4×C43—41no—
356C4×C43B(4,𝔽2)12yes—
357#3537C2×C4311yescharacteristic, complemented
358#3003C2×C4311yescharacteristic, complemented
359C2×#447C2×C4311yescharacteristic, complemented
360#2433C2×C4311yescharacteristic, complemented
361#1600C2×C4314yescomplemented
362#1595C2×C4314yescomplemented
363#1507C2×C4311yescharacteristic, complemented
364#1501C2×C4311yescharacteristic, complemented
365#1471C2×C4311yescharacteristic, complemented
366C2×C43—22no—
367C2×C43—22no—
368C2×C43—41no—
369C2×C43—84no—
370C2×C43—82no—
371C2×C43—82no—
372C2×C43—81no—
373C2×C43#300811yescharacteristic
374C2×C43C2×#45311yescharacteristic
375C2×C43C2×B(4,𝔽2)11yescharacteristic
376C23×D4C22×C4311yescharacteristic, complemented
377C2×AGL(1,ℤ/8)—21no—
378C22×D8—21no—
379#560—22no—
380#553—21no—
381#553—21no—
382D42—22no—
383D42—21no—
384D42—21no—
385#540—21no—
386#538—21no—
387#538C22×C4312yescomplemented
388#535—21no—
389#534—21no—
390#534C22×C4312yescomplemented
391C2×#127—21no—
392#525C22×C4311yescharacteristic
393C2×#121C22×C4311yescharacteristic
394C2×#121C22×C4311yescharacteristic
395C2×#120—22no—
396#450—21no—
397#450C22×C4312yescomplemented
398#447—22no—
399#447—21no—
400#447C22×C4312yescomplemented
401#447C22×C4314yescomplemented
402#418—21no—
403C2×#102—21no—
404#407C22×C4311yescharacteristic, complemented
405C2×C22⋊C8C22×C4311yescharacteristic, complemented
406#392C22×C4314yescomplemented
407#390—21no—
408C4×C22⋊C4C22×C4311yescharacteristic, complemented
409#328C22×C4312yescomplemented
410#327C22×C4312yescomplemented
411#327C22×C4314yescomplemented
412#323C22×C4314yescomplemented
413C43#1825411yescharacteristic, direct product factor, Sylow
414C25—21no—
415C2×#41D4×C4311yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C4312yes—
428C22×D4D4×C4311yescharacteristic
429C22×D4D4×C4311yescharacteristic, complemented
430C22×D4C23×C4312yes—
431C23×C4C23×C4311yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C4311yescharacteristic, complemented
452C22⋊Q8C23×C4311yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C4312yescomplemented
468#121D4×C4311yescharacteristic, complemented
469#121C23×C4312yes—
470#121C23×C4311yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C4311yescharacteristic, complemented
487C2×C4⋊C4D4×C4311yescharacteristic
488C2×C4⋊C4D4×C4311yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C4312yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C4312yes—
500C22⋊C8C23×C4312yes—
501#95C23×C4312yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C4311yescharacteristic
511C24C2×D4×C4312yes—
512#41—42no—
513C2×Q8C2×D4×C4311yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C4311yescharacteristic
553C2×D4C2×D4×C4312yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C4311yescharacteristic
561C22×C4C2×D4×C4311yescharacteristic
562C22×C4C2×D4×C4311yescharacteristic
563C22×C4C2×D4×C4312yes—
564C22×C4C2×D4×C4311yescharacteristic
565C22×C4C2×D4×C4311yescharacteristic
566C22×C4C24×C4311yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C4312yes—
582C4⋊C4C2×D4×C4311yescharacteristic
583C4⋊C4C2×D4×C4311yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C4311yescharacteristic
631C23#120×C4311yescharacteristic
632C23C22×D4×C4311yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C4311yescharacteristic
678C2×C4#120×C4311yescharacteristic
679C2×C4C22×D4×C4311yescharacteristic
680C2×C4C22×D4×C4311yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22C43×#45312yes—
711C22C2×#120×C4311yescharacteristic
712C22C43×#57612yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4C43×B(4,𝔽2)12yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C43×#300811yescharacteristic
731C2C2×C43×#45311yescharacteristic
732C2C2×C43×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C43C2×#120
commutator, Frattini, cosocleC22×C4C24×C43
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ C23×C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3537C2semidirect
2. C43×#3003C2semidirect
3. C2×C43×#447C2semidirect
4. C43×#2433C2semidirect
5. C43×#1600C2semidirect
6. C43×#1595C2semidirect
7. C43×#1507C2semidirect
8. C43×#1501C2semidirect
9. C43×#1471C2semidirect
10. C23×D4×C43C22semidirect
21. C43×#538C22semidirect
24. C43×#534C22semidirect
31. C43×#450C22semidirect
34. C43×#447C22semidirect
35. C43×#447C22semidirect
38. C43×#407C22semidirect
39. C2×C22⋊C8×C43C22semidirect
40. C43×#392C22semidirect
42. C4×C22⋊C4×C43C22semidirect
43. C43×#328C22semidirect
44. C43×#327C22semidirect
45. C43×#327C22semidirect
46. C43×#323C22semidirect
48. C2×#41×C43D4semidirect
62. C22×D4×C43D4semidirect
84. C22⋊Q8×C43D4semidirect
100. #121×C43D4semidirect
101. #121×C43D4semidirect
119. #117×C43D4semidirect
121. C2×C4⋊C4×C43D4semidirect
316. #18254C43direct (N × H)
357. #3537C2×C43semidirect
358. #3003C2×C43semidirect
359. C2×#447C2×C43semidirect
360. #2433C2×C43semidirect
361. #1600C2×C43semidirect
362. #1595C2×C43semidirect
363. #1507C2×C43semidirect
364. #1501C2×C43semidirect
365. #1471C2×C43semidirect
376. C23×D4C22×C43semidirect
387. #538C22×C43semidirect
390. #534C22×C43semidirect
397. #450C22×C43semidirect
400. #447C22×C43semidirect
401. #447C22×C43semidirect
404. #407C22×C43semidirect
405. C2×C22⋊C8C22×C43semidirect
406. #392C22×C43semidirect
408. C4×C22⋊C4C22×C43semidirect
409. #328C22×C43semidirect
410. #327C22×C43semidirect
411. #327C22×C43semidirect
412. #323C22×C43semidirect
413. C43#18254direct (N × H)
415. C2×#41D4×C43semidirect
429. C22×D4D4×C43semidirect
451. C22⋊Q8D4×C43semidirect
467. #121D4×C43semidirect
468. #121D4×C43semidirect
486. #117D4×C43semidirect
488. C2×C4⋊C4D4×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35372
C43×#30032
C2×C43×#4472
C43×#24332
C43×#16002
C43×#15952
C43×#15072
C43×#15012
C43×#14712
#1825443