Finite Group Databasebeta

← C43×#18450 #24938467

Subgroups — C43×#18450 #24938467

Order 11008.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3537C211yesmaximal, characteristic, complemented
2C43×#3194C211yesmaximal, characteristic, complemented
3C43×#3186C211yesmaximal, characteristic, complemented
4C43×#2815C211yesmaximal, characteristic, complemented
5C43×#1612C212yesmaximal, complemented
6C43×#1607C212yesmaximal, complemented
7C43×#1600C212yesmaximal, complemented
8C43×#1595C212yesmaximal, complemented
9C43×#1516C211yesmaximal, characteristic, complemented
10C43×#1510C211yesmaximal, characteristic, complemented
11C43×#1471C211yesmaximal, characteristic, complemented
12C43×#560—22no—
13C43×#553—21no—
14C43×#553—21no—
15D42×C43—22no—
16D42×C43—21no—
17D42×C43—21no—
18C43×#540—21no—
19C43×#538—21no—
20C43×#538C2212yes—
21C43×#535—21no—
22C43×#534—21no—
23C43×#534C2212yes—
24C43×#525C2211yescharacteristic
25C2×#121×C43C2211yescharacteristic
26C2×#121×C43C2211yescharacteristic
27C2×#121×C43C2211yescharacteristic, complemented
28C43×#483C2211yescharacteristic, complemented
29C43×#482—21no—
30C43×#480—21no—
31C43×#480C2211yescharacteristic, complemented
32C43×#480C2212yescomplemented
33C43×#469—21no—
34C43×#468—21no—
35C43×#466—22no—
36C43×#450C2211yescharacteristic, complemented
37C43×#449—21no—
38C43×#447—21no—
39C43×#447C2211yescharacteristic, complemented
40C43×#447C2212yescomplemented
41C43×#407C2211yescharacteristic, complemented
42C2×C22⋊C8×C43C2211yescharacteristic, complemented
43C43×#397—21no—
44C43×#397C2212yescomplemented
45C43×#392—21no—
46C43×#392—22no—
47C43×#392C2212yescomplemented
48C43×#381C2211yescharacteristic, complemented
49C43×#328C2212yescomplemented
50C43×#327C2212yescomplemented
51C43×#327C2212yescomplemented
52C43×#327C2212yescomplemented
53C43×#323C2212yescomplemented
54C43×#323C2212yescomplemented
55C2×#41×C43D411yescharacteristic, complemented
56C22×D4×C43—22no—
57C22×D4×C43—21no—
58C22×D4×C43—21no—
59C22×D4×C43—22no—
60C22×D4×C43—21no—
61C22×D4×C43—22no—
62C22×D4×C43D412yes—
63C22×D4×C43D411yescharacteristic
64C22×D4×C43D411yescharacteristic, complemented
65C22×D4×C43C2311yescharacteristic
66C23×C4×C43C2311yescharacteristic
67C2×SD16×C43—21no—
68C2×D8×C43—22no—
69C2×D8×C43—21no—
70C2×M16×C43—21no—
71C22×C8×C43—21no—
72#127×C43—22no—
73#127×C43—21no—
74#126×C43—22no—
75#126×C43—22no—
76#125×C43—21no—
77#124×C43—22no—
78#123×C43—22no—
79#123×C43—21no—
80#123×C43—22no—
81#123×C43—22no—
82#123×C43—22no—
83C22⋊Q8×C43D411yescharacteristic, complemented
84C22⋊Q8×C43C2311yescharacteristic
85#121×C43—22no—
86#121×C43—21no—
87#121×C43—21no—
88#121×C43—22no—
89#121×C43—22no—
90#121×C43—22no—
91#121×C43—22no—
92#121×C43—21no—
93#121×C43—21no—
94#121×C43—21no—
95#121×C43—21no—
96#121×C43—21no—
97#121×C43—21no—
98#121×C43—22no—
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#121×C43D412yescomplemented
104#121×C43D411yescharacteristic, complemented
105#121×C43C2312yes—
106#121×C43C2311yescharacteristic
107#120×C43—22no—
108#120×C43—22no—
109#120×C43—22no—
110#120×C43—21no—
111#120×C43—22no—
112#120×C43—22no—
113#120×C43—22no—
114C4×D4×C43—22no—
115C4×D4×C43—21no—
116C4×D4×C43—21no—
117C4×D4×C43—21no—
118C4×D4×C43—21no—
119C4×D4×C43—22no—
120#117×C43—21no—
121#117×C43D411yescharacteristic, complemented
122C2×C4⋊C4×C43D411yescharacteristic
123C2×C4⋊C4×C43D411yescharacteristic, complemented
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C22⋊C4×C43—21no—
126C2×C22⋊C4×C43—21no—
127C2×C22⋊C4×C43—21no—
128C2×C22⋊C4×C43—22no—
129C2×C22⋊C4×C43—22no—
130C2×C22⋊C4×C43C2312yes—
131#107×C43—22no—
132#107×C43—21no—
133#106×C43—21no—
134#103×C43—21no—
135#102×C43—22no—
136#102×C43—21no—
137#102×C43—22no—
138#102×C43—21no—
139#102×C43—21no—
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142C22⋊C8×C43C2311yescharacteristic
143C22⋊C8×C43C2311yescharacteristic
144C22⋊C8×C43C2312yes—
145#95×C43—21no—
146#95×C43—22no—
147#95×C43C2312yes—
148C24×C43—22no—
149C24×C43—21no—
150C24×C43—21no—
151C24×C43C2×D412yes—
152C24×C43C2×D411yescharacteristic
153#41×C43—81no—
154C2×Q8×C43C2×D411yescharacteristic
155C2×D4×C43—22no—
156C2×D4×C43—22no—
157C2×D4×C43—22no—
158C2×D4×C43—22no—
159C2×D4×C43—22no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—22no—
164C2×D4×C43—21no—
165C2×D4×C43—21no—
166C2×D4×C43—22no—
167C2×D4×C43—22no—
168C2×D4×C43—21no—
169C2×D4×C43—22no—
170C2×D4×C43—21no—
171C2×D4×C43—21no—
172C2×D4×C43—41no—
173C2×D4×C43—41no—
174C2×D4×C43—82no—
175C2×D4×C43—82no—
176C2×D4×C43—82no—
177C2×D4×C43—82no—
178C2×D4×C43—82no—
179C2×D4×C43—81no—
180C2×D4×C43—82no—
181C2×D4×C43—81no—
182C2×D4×C43—82no—
183C2×D4×C43—82no—
184C2×D4×C43—84no—
185C2×D4×C43—82no—
186C2×D4×C43—81no—
187C2×D4×C43C2×D411yescharacteristic
188C2×D4×C43C2×D412yes—
189C22×C4×C43—22no—
190C22×C4×C43—22no—
191C22×C4×C43—21no—
192C22×C4×C43—21no—
193C22×C4×C43—22no—
194C22×C4×C43—21no—
195C22×C4×C43—81no—
196C22×C4×C43C2×D411yescharacteristic
197C22×C4×C43C2×D411yescharacteristic
198C22×C4×C43C2×D411yescharacteristic
199C22×C4×C43C2×D411yescharacteristic
200C22×C4×C43C2×D412yes—
201C22×C4×C43C2×D411yescharacteristic
202C22×C4×C43C2411yescharacteristic
203SD16×C43—81no—
204D8×C43—82no—
205D8×C43—81no—
206M16×C43—81no—
207C2×C8×C43—22no—
208C2×C8×C43—21no—
209C2×C8×C43—21no—
210C2×C8×C43—81no—
211C4⋊C4×C43—22no—
212C4⋊C4×C43—22no—
213C4⋊C4×C43—21no—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43C2×D411yescharacteristic
221C4⋊C4×C43C2×D412yes—
222C4⋊C4×C43C2×D411yescharacteristic
223C22⋊C4×C43—22no—
224C22⋊C4×C43—22no—
225C22⋊C4×C43—22no—
226C22⋊C4×C43—22no—
227C22⋊C4×C43—22no—
228C22⋊C4×C43—22no—
229C22⋊C4×C43—21no—
230C22⋊C4×C43—22no—
231C22⋊C4×C43—22no—
232C22⋊C4×C43—22no—
233C22⋊C4×C43—21no—
234C22⋊C4×C43—21no—
235C22⋊C4×C43—21no—
236C22⋊C4×C43—21no—
237C22⋊C4×C43—41no—
238C22⋊C4×C43—41no—
239C22⋊C4×C43—82no—
240C22⋊C4×C43—81no—
241C22⋊C4×C43—82no—
242C42×C43—22no—
243C42×C43—21no—
244C23×C43—22no—
245C23×C43—22no—
246C23×C43—22no—
247C23×C43—21no—
248C23×C43—22no—
249C23×C43—22no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—42no—
253C23×C43—42no—
254C23×C43—42no—
255C23×C43—41no—
256C23×C43—41no—
257C23×C43—42no—
258C23×C43—41no—
259C23×C43—42no—
260C23×C43—81no—
261C23×C43—81no—
262C23×C43—82no—
263C23×C43—82no—
264C23×C43—82no—
265C23×C43#12011yescharacteristic
266C23×C43#12011yescharacteristic
267C23×C43C22×D411yescharacteristic
268Q8×C43—41no—
269D4×C43—42no—
270D4×C43—41no—
271D4×C43—42no—
272D4×C43—42no—
273D4×C43—42no—
274D4×C43—41no—
275D4×C43—41no—
276D4×C43—44no—
277D4×C43—42no—
278D4×C43—42no—
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—82no—
291D4×C43—82no—
292D4×C43—88no—
293C2×C4×C43—21no—
294C2×C4×C43—22no—
295C2×C4×C43—22no—
296C2×C4×C43—21no—
297C2×C4×C43—21no—
298C2×C4×C43—41no—
299C2×C4×C43—41no—
300C2×C4×C43—41no—
301C2×C4×C43—41no—
302C2×C4×C43—41no—
303C2×C4×C43—41no—
304C2×C4×C43—42no—
305C2×C4×C43—42no—
306C2×C4×C43—42no—
307C2×C4×C43—42no—
308C2×C4×C43—41no—
309C2×C4×C43—42no—
310C2×C4×C43—42no—
311C2×C4×C43—81no—
312C2×C4×C43—82no—
313C2×C4×C43—82no—
314C2×C4×C43#12011yescharacteristic
315C2×C4×C43#12011yescharacteristic
316C2×C4×C43C22×D411yescharacteristic
317C2×C4×C43C22×D411yescharacteristic
318C8×C43—42no—
319C8×C43—41no—
320C8×C43—41no—
321#18450C4311yesmaximal, characteristic, direct product factor, Sylow
322C22×C43—21no—
323C22×C43—21no—
324C22×C43—21no—
325C22×C43—21no—
326C22×C43—21no—
327C22×C43—21no—
328C22×C43—21no—
329C22×C43—21no—
330C22×C43—42no—
331C22×C43—42no—
332C22×C43—41no—
333C22×C43—42no—
334C22×C43—42no—
335C22×C43—41no—
336C22×C43—42no—
337C22×C43—41no—
338C22×C43—42no—
339C22×C43—82no—
340C22×C43—82no—
341C22×C43—82no—
342C22×C43—82no—
343C22×C43—82no—
344C22×C43—81no—
345C22×C43—81no—
346C22×C43—81no—
347C22×C43—162no—
348C22×C43—164no—
349C22×C43C2×#12011yescharacteristic
350C22×C43#57612yes—
351C4×C43—21no—
352C4×C43—21no—
353C4×C43—21no—
354C4×C43—21no—
355C4×C43—42no—
356C4×C43—41no—
357C4×C43—42no—
358C4×C43—41no—
359C4×C43—41no—
360C4×C43—82no—
361C4×C43—81no—
362#3537C2×C4311yescharacteristic, complemented
363#3194C2×C4311yescharacteristic, complemented
364#3186C2×C4311yescharacteristic, complemented
365#2815C2×C4311yescharacteristic, complemented
366#1612C2×C4312yescomplemented
367#1607C2×C4312yescomplemented
368#1600C2×C4312yescomplemented
369#1595C2×C4312yescomplemented
370#1516C2×C4311yescharacteristic, complemented
371#1510C2×C4311yescharacteristic, complemented
372#1471C2×C4311yescharacteristic, complemented
373C2×C43—22no—
374C2×C43—41no—
375C2×C43—41no—
376C2×C43—82no—
377C2×C43—82no—
378C2×C43—81no—
379C2×C43—161no—
380C2×C43#300811yescharacteristic
381C2×C43#301911yescharacteristic
382C2×C43#302611yescharacteristic
383#560—22no—
384#553—21no—
385#553—21no—
386D42—22no—
387D42—21no—
388D42—21no—
389#540—21no—
390#538—21no—
391#538C22×C4312yes—
392#535—21no—
393#534—21no—
394#534C22×C4312yes—
395#525C22×C4311yescharacteristic
396C2×#121C22×C4311yescharacteristic
397C2×#121C22×C4311yescharacteristic
398C2×#121C22×C4311yescharacteristic, complemented
399#483C22×C4311yescharacteristic, complemented
400#482—21no—
401#480—21no—
402#480C22×C4311yescharacteristic, complemented
403#480C22×C4312yescomplemented
404#469—21no—
405#468—21no—
406#466—22no—
407#450C22×C4311yescharacteristic, complemented
408#449—21no—
409#447—21no—
410#447C22×C4311yescharacteristic, complemented
411#447C22×C4312yescomplemented
412#407C22×C4311yescharacteristic, complemented
413C2×C22⋊C8C22×C4311yescharacteristic, complemented
414#397—21no—
415#397C22×C4312yescomplemented
416#392—21no—
417#392—22no—
418#392C22×C4312yescomplemented
419#381C22×C4311yescharacteristic, complemented
420#328C22×C4312yescomplemented
421#327C22×C4312yescomplemented
422#327C22×C4312yescomplemented
423#327C22×C4312yescomplemented
424#323C22×C4312yescomplemented
425#323C22×C4312yescomplemented
426C43#1845011yescharacteristic, direct product factor, Sylow
427C2×#41D4×C4311yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C4312yes—
435C22×D4D4×C4311yescharacteristic
436C22×D4D4×C4311yescharacteristic, complemented
437C22×D4C23×C4311yescharacteristic
438C23×C4C23×C4311yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C4311yescharacteristic, complemented
456C22⋊Q8C23×C4311yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C4312yescomplemented
476#121D4×C4311yescharacteristic, complemented
477#121C23×C4312yes—
478#121C23×C4311yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C4311yescharacteristic, complemented
494C2×C4⋊C4D4×C4311yescharacteristic
495C2×C4⋊C4D4×C4311yescharacteristic, complemented
496C2×C4⋊C4C23×C4311yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C4312yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C4311yescharacteristic
515C22⋊C8C23×C4311yescharacteristic
516C22⋊C8C23×C4312yes—
517#95—21no—
518#95—22no—
519#95C23×C4312yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C4312yes—
524C24C2×D4×C4311yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C4311yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C4311yescharacteristic
560C2×D4C2×D4×C4312yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C4312yes—
569C22×C4C2×D4×C4311yescharacteristic
570C22×C4C2×D4×C4311yescharacteristic
571C22×C4C2×D4×C4311yescharacteristic
572C22×C4C2×D4×C4311yescharacteristic
573C22×C4C2×D4×C4311yescharacteristic
574C22×C4C24×C4311yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C4311yescharacteristic
593C4⋊C4C2×D4×C4312yes—
594C4⋊C4C2×D4×C4311yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C4311yescharacteristic
638C23#120×C4311yescharacteristic
639C23C22×D4×C4311yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C4311yescharacteristic
687C2×C4#120×C4311yescharacteristic
688C2×C4C22×D4×C4311yescharacteristic
689C2×C4C22×D4×C4311yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C4311yescharacteristic
721C22C43×#57612yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2C43×#300811yescharacteristic
741C2C43×#301911yescharacteristic
742C2C43×#302611yescharacteristic
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×#3194C2semidirect
3. C43×#3186C2semidirect
4. C43×#2815C2semidirect
5. C43×#1612C2semidirect
6. C43×#1607C2semidirect
7. C43×#1600C2semidirect
8. C43×#1595C2semidirect
9. C43×#1516C2semidirect
10. C43×#1510C2semidirect
11. C43×#1471C2semidirect
27. C2×#121×C43C22semidirect
28. C43×#483C22semidirect
31. C43×#480C22semidirect
32. C43×#480C22semidirect
36. C43×#450C22semidirect
39. C43×#447C22semidirect
40. C43×#447C22semidirect
41. C43×#407C22semidirect
42. C2×C22⋊C8×C43C22semidirect
44. C43×#397C22semidirect
47. C43×#392C22semidirect
48. C43×#381C22semidirect
49. C43×#328C22semidirect
50. C43×#327C22semidirect
51. C43×#327C22semidirect
52. C43×#327C22semidirect
53. C43×#323C22semidirect
54. C43×#323C22semidirect
55. C2×#41×C43D4semidirect
64. C22×D4×C43D4semidirect
83. C22⋊Q8×C43D4semidirect
103. #121×C43D4semidirect
104. #121×C43D4semidirect
121. #117×C43D4semidirect
123. C2×C4⋊C4×C43D4semidirect
321. #18450C43direct (N × H)
362. #3537C2×C43semidirect
363. #3194C2×C43semidirect
364. #3186C2×C43semidirect
365. #2815C2×C43semidirect
366. #1612C2×C43semidirect
367. #1607C2×C43semidirect
368. #1600C2×C43semidirect
369. #1595C2×C43semidirect
370. #1516C2×C43semidirect
371. #1510C2×C43semidirect
372. #1471C2×C43semidirect
398. C2×#121C22×C43semidirect
399. #483C22×C43semidirect
402. #480C22×C43semidirect
403. #480C22×C43semidirect
407. #450C22×C43semidirect
410. #447C22×C43semidirect
411. #447C22×C43semidirect
412. #407C22×C43semidirect
413. C2×C22⋊C8C22×C43semidirect
415. #397C22×C43semidirect
418. #392C22×C43semidirect
419. #381C22×C43semidirect
420. #328C22×C43semidirect
421. #327C22×C43semidirect
422. #327C22×C43semidirect
423. #327C22×C43semidirect
424. #323C22×C43semidirect
425. #323C22×C43semidirect
426. C43#18450direct (N × H)
427. C2×#41D4×C43semidirect
436. C22×D4D4×C43semidirect
455. C22⋊Q8D4×C43semidirect
475. #121D4×C43semidirect
476. #121D4×C43semidirect
493. #117D4×C43semidirect
495. 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×#31942
C43×#31862
C43×#28152
C43×#16122
C43×#16072
C43×#16002
C43×#15952
C43×#15162
C43×#15102
C43×#14712
#1845043