Finite Group Databasebeta

← C43×#18418 #24938435

Subgroups — C43×#18418 #24938435

Order 11008.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3537C211yesmaximal, characteristic, complemented
2C43×#3192C211yesmaximal, characteristic, complemented
3C43×#3188C211yesmaximal, characteristic, complemented
4C43×#2656C211yesmaximal, characteristic, complemented
5C43×#1618C212yesmaximal, complemented
6C43×#1613C212yesmaximal, complemented
7C43×#1600C212yesmaximal, complemented
8C43×#1595C212yesmaximal, complemented
9C43×#1504C211yesmaximal, characteristic, complemented
10C2×C43×#327C211yesmaximal, 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×C43—22no—
26C2×#121×C43C2211yescharacteristic
27C2×#121×C43C2211yescharacteristic
28C2×#121×C43C2211yescharacteristic, complemented
29C43×#484C2211yescharacteristic, complemented
30C43×#482—21no—
31C43×#481—21no—
32C43×#481C2211yescharacteristic, complemented
33C43×#481C2212yescomplemented
34C43×#469—22no—
35C43×#466—21no—
36C43×#465—21no—
37C43×#450C2211yescharacteristic, complemented
38C43×#449—21no—
39C43×#447—21no—
40C43×#447C2211yescharacteristic, complemented
41C43×#447C2212yescomplemented
42C43×#407C2211yescharacteristic, complemented
43C2×C22⋊C8×C43C2211yescharacteristic, complemented
44C43×#399—21no—
45C43×#399C2212yescomplemented
46C43×#392—21no—
47C43×#392C2212yescomplemented
48C2×#95×C43C2211yescharacteristic, 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×C43—21no—
67C23×C4×C43C2311yescharacteristic
68C2×SD16×C43—21no—
69C2×D8×C43—22no—
70C2×D8×C43—21no—
71C2×M16×C43—21no—
72C22×C8×C43—21no—
73#127×C43—22no—
74#127×C43—21no—
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×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#121×C43—21no—
104#121×C43—48no—
105#121×C43D412yescomplemented
106#121×C43D411yescharacteristic, complemented
107#121×C43C2312yes—
108#121×C43C2311yescharacteristic
109#120×C43—22no—
110#120×C43—22no—
111#120×C43—22no—
112#120×C43—21no—
113#120×C43—22no—
114#120×C43—22no—
115#120×C43—22no—
116C4×D4×C43—22no—
117C4×D4×C43—21no—
118C4×D4×C43—21no—
119C4×D4×C43—21no—
120C4×D4×C43—21no—
121C4×D4×C43—22no—
122#117×C43—21no—
123#117×C43D411yescharacteristic, complemented
124C2×C4⋊C4×C43—22no—
125C2×C4⋊C4×C43D411yescharacteristic
126C2×C4⋊C4×C43D411yescharacteristic, complemented
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C22⋊C4×C43—21no—
129C2×C22⋊C4×C43—22no—
130C2×C22⋊C4×C43—22no—
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43C2312yes—
133#107×C43—21no—
134#106×C43—21no—
135#106×C43—22no—
136#103×C43—21no—
137#102×C43—22no—
138#102×C43—21no—
139#102×C43—21no—
140#102×C43—22no—
141#102×C43—21no—
142C22⋊C8×C43—21no—
143C22⋊C8×C43—21no—
144C22⋊C8×C43C2311yescharacteristic
145C22⋊C8×C43C2311yescharacteristic
146C22⋊C8×C43C2312yes—
147#95×C43—21no—
148#95×C43C2312yes—
149C24×C43—22no—
150C24×C43—21no—
151C24×C43—21no—
152C24×C43C2×D411yescharacteristic
153C24×C43C2×D412yes—
154#41×C43—81no—
155C2×Q8×C43C2×D411yescharacteristic
156C2×D4×C43—22no—
157C2×D4×C43—22no—
158C2×D4×C43—22no—
159C2×D4×C43—22no—
160C2×D4×C43—22no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—22no—
165C2×D4×C43—21no—
166C2×D4×C43—21no—
167C2×D4×C43—22no—
168C2×D4×C43—22no—
169C2×D4×C43—21no—
170C2×D4×C43—22no—
171C2×D4×C43—21no—
172C2×D4×C43—21no—
173C2×D4×C43—44no—
174C2×D4×C43—44no—
175C2×D4×C43—44no—
176C2×D4×C43—41no—
177C2×D4×C43—41no—
178C2×D4×C43—82no—
179C2×D4×C43—81no—
180C2×D4×C43—81no—
181C2×D4×C43—82no—
182C2×D4×C43—82no—
183C2×D4×C43—81no—
184C2×D4×C43—81no—
185C2×D4×C43—82no—
186C2×D4×C43—84no—
187C2×D4×C43—82no—
188C2×D4×C43—81no—
189C2×D4×C43C2×D411yescharacteristic
190C2×D4×C43C2×D412yes—
191C22×C4×C43—22no—
192C22×C4×C43—22no—
193C22×C4×C43—24no—
194C22×C4×C43—21no—
195C22×C4×C43—21no—
196C22×C4×C43—22no—
197C22×C4×C43—21no—
198C22×C4×C43—81no—
199C22×C4×C43—81no—
200C22×C4×C43—81no—
201C22×C4×C43C2×D411yescharacteristic
202C22×C4×C43C2×D411yescharacteristic
203C22×C4×C43C2×D411yescharacteristic
204C22×C4×C43C2×D411yescharacteristic
205C22×C4×C43C2×D412yes—
206C22×C4×C43C2×D411yescharacteristic
207C22×C4×C43C2411yescharacteristic
208SD16×C43—81no—
209D8×C43—81no—
210D8×C43—82no—
211M16×C43—81no—
212C2×C8×C43—21no—
213C2×C8×C43—22no—
214C2×C8×C43—21no—
215C2×C8×C43—81no—
216C4⋊C4×C43—22no—
217C4⋊C4×C43—22no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—44no—
226C4⋊C4×C43C2×D412yes—
227C4⋊C4×C43C2×D411yescharacteristic
228C4⋊C4×C43C2×D411yescharacteristic
229C22⋊C4×C43—22no—
230C22⋊C4×C43—22no—
231C22⋊C4×C43—22no—
232C22⋊C4×C43—22no—
233C22⋊C4×C43—22no—
234C22⋊C4×C43—22no—
235C22⋊C4×C43—21no—
236C22⋊C4×C43—22no—
237C22⋊C4×C43—22no—
238C22⋊C4×C43—22no—
239C22⋊C4×C43—21no—
240C22⋊C4×C43—21no—
241C22⋊C4×C43—21no—
242C22⋊C4×C43—21no—
243C22⋊C4×C43—44no—
244C22⋊C4×C43—44no—
245C22⋊C4×C43—41no—
246C22⋊C4×C43—41no—
247C42×C43—22no—
248C42×C43—21no—
249C23×C43—21no—
250C23×C43—21no—
251C23×C43—22no—
252C23×C43—22no—
253C23×C43—22no—
254C23×C43—21no—
255C23×C43—22no—
256C23×C43—22no—
257C23×C43—41no—
258C23×C43—42no—
259C23×C43—42no—
260C23×C43—42no—
261C23×C43—42no—
262C23×C43—42no—
263C23×C43—41no—
264C23×C43—41no—
265C23×C43—41no—
266C23×C43—81no—
267C23×C43—81no—
268C23×C43—82no—
269C23×C43—82no—
270C23×C43—82no—
271C23×C43#12011yescharacteristic
272C23×C43#12011yescharacteristic
273C23×C43C22×D411yescharacteristic
274Q8×C43—41no—
275D4×C43—42no—
276D4×C43—41no—
277D4×C43—42no—
278D4×C43—42no—
279D4×C43—42no—
280D4×C43—41no—
281D4×C43—41no—
282D4×C43—42no—
283D4×C43—41no—
284D4×C43—42no—
285D4×C43—41no—
286D4×C43—44no—
287D4×C43—42no—
288D4×C43—81no—
289D4×C43—82no—
290D4×C43—82no—
291D4×C43—81no—
292D4×C43—82no—
293D4×C43—82no—
294D4×C43—82no—
295D4×C43—82no—
296D4×C43—82no—
297D4×C43—88no—
298D4×C43—82no—
299D4×C43—82no—
300C2×C4×C43—24no—
301C2×C4×C43—21no—
302C2×C4×C43—22no—
303C2×C4×C43—22no—
304C2×C4×C43—21no—
305C2×C4×C43—21no—
306C2×C4×C43—41no—
307C2×C4×C43—41no—
308C2×C4×C43—41no—
309C2×C4×C43—41no—
310C2×C4×C43—41no—
311C2×C4×C43—41no—
312C2×C4×C43—42no—
313C2×C4×C43—42no—
314C2×C4×C43—42no—
315C2×C4×C43—42no—
316C2×C4×C43—42no—
317C2×C4×C43—41no—
318C2×C4×C43—81no—
319C2×C4×C43—84no—
320C2×C4×C43—82no—
321C2×C4×C43—82no—
322C2×C4×C43#12011yescharacteristic
323C2×C4×C43#12011yescharacteristic
324C2×C4×C43C22×D411yescharacteristic
325C2×C4×C43C22×D411yescharacteristic
326C8×C43—41no—
327C8×C43—41no—
328C8×C43—42no—
329#18418C4311yesmaximal, characteristic, direct product factor, Sylow
330C22×C43—21no—
331C22×C43—21no—
332C22×C43—21no—
333C22×C43—21no—
334C22×C43—21no—
335C22×C43—21no—
336C22×C43—21no—
337C22×C43—42no—
338C22×C43—42no—
339C22×C43—42no—
340C22×C43—42no—
341C22×C43—41no—
342C22×C43—42no—
343C22×C43—42no—
344C22×C43—41no—
345C22×C43—42no—
346C22×C43—41no—
347C22×C43—42no—
348C22×C43—82no—
349C22×C43—82no—
350C22×C43—82no—
351C22×C43—82no—
352C22×C43—81no—
353C22×C43—81no—
354C22×C43—81no—
355C22×C43—162no—
356C22×C43—164no—
357C22×C43#45312yes—
358C22×C43C2×#12011yescharacteristic
359C22×C43#57611yescharacteristic
360C22×C43#57711yescharacteristic
361C4×C43—21no—
362C4×C43—21no—
363C4×C43—21no—
364C4×C43—21no—
365C4×C43—44no—
366C4×C43—42no—
367C4×C43—41no—
368C4×C43—42no—
369C4×C43—41no—
370C4×C43—41no—
371C4×C43—81no—
372#3537C2×C4311yescharacteristic, complemented
373#3192C2×C4311yescharacteristic, complemented
374#3188C2×C4311yescharacteristic, complemented
375#2656C2×C4311yescharacteristic, complemented
376#1618C2×C4312yescomplemented
377#1613C2×C4312yescomplemented
378#1600C2×C4312yescomplemented
379#1595C2×C4312yescomplemented
380#1504C2×C4311yescharacteristic, complemented
381C2×#327C2×C4311yescharacteristic, complemented
382#1471C2×C4311yescharacteristic, complemented
383C2×C43—21no—
384C2×C43—21no—
385C2×C43—22no—
386C2×C43—41no—
387C2×C43—82no—
388C2×C43—82no—
389C2×C43—81no—
390C2×C43—161no—
391C2×C43#301211yescharacteristic
392C2×C43C2×#45311yescharacteristic
393C2×C43#302611yescharacteristic
394#560—22no—
395#553—21no—
396#553—21no—
397D42—22no—
398D42—21no—
399D42—21no—
400#540—21no—
401#538—21no—
402#538C22×C4312yes—
403#535—21no—
404#534—21no—
405#534C22×C4312yes—
406#525C22×C4311yescharacteristic
407C2×#121—22no—
408C2×#121C22×C4311yescharacteristic
409C2×#121C22×C4311yescharacteristic
410C2×#121C22×C4311yescharacteristic, complemented
411#484C22×C4311yescharacteristic, complemented
412#482—21no—
413#481—21no—
414#481C22×C4311yescharacteristic, complemented
415#481C22×C4312yescomplemented
416#469—22no—
417#466—21no—
418#465—21no—
419#450C22×C4311yescharacteristic, complemented
420#449—21no—
421#447—21no—
422#447C22×C4311yescharacteristic, complemented
423#447C22×C4312yescomplemented
424#407C22×C4311yescharacteristic, complemented
425C2×C22⋊C8C22×C4311yescharacteristic, complemented
426#399—21no—
427#399C22×C4312yescomplemented
428#392—21no—
429#392C22×C4312yescomplemented
430C2×#95C22×C4311yescharacteristic, complemented
431#328C22×C4312yescomplemented
432#327C22×C4312yescomplemented
433#327C22×C4312yescomplemented
434#327C22×C4312yescomplemented
435#323C22×C4312yescomplemented
436#323C22×C4312yescomplemented
437C43#1841811yescharacteristic, direct product factor, Sylow
438C2×#41D4×C4311yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—21no—
444C22×D4—22no—
445C22×D4D4×C4312yes—
446C22×D4D4×C4311yescharacteristic
447C22×D4D4×C4311yescharacteristic, complemented
448C22×D4C23×C4311yescharacteristic
449C23×C4—21no—
450C23×C4C23×C4311yescharacteristic
451C2×SD16—21no—
452C2×D8—22no—
453C2×D8—21no—
454C2×M16—21no—
455C22×C8—21no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8D4×C4311yescharacteristic, complemented
468C22⋊Q8C23×C4311yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—48no—
488#121D4×C4312yescomplemented
489#121D4×C4311yescharacteristic, complemented
490#121C23×C4312yes—
491#121C23×C4311yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117D4×C4311yescharacteristic, complemented
507C2×C4⋊C4—22no—
508C2×C4⋊C4D4×C4311yescharacteristic
509C2×C4⋊C4D4×C4311yescharacteristic, complemented
510C2×C4⋊C4C23×C4311yescharacteristic
511C2×C22⋊C4—21no—
512C2×C22⋊C4—22no—
513C2×C22⋊C4—22no—
514C2×C22⋊C4—21no—
515C2×C22⋊C4C23×C4312yes—
516#107—21no—
517#106—21no—
518#106—22no—
519#103—21no—
520#102—22no—
521#102—21no—
522#102—21no—
523#102—22no—
524#102—21no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8C23×C4311yescharacteristic
528C22⋊C8C23×C4311yescharacteristic
529C22⋊C8C23×C4312yes—
530#95—21no—
531#95C23×C4312yes—
532C24—22no—
533C24—21no—
534C24—21no—
535C24C2×D4×C4311yescharacteristic
536C24C2×D4×C4312yes—
537#41—81no—
538C2×Q8C2×D4×C4311yescharacteristic
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—44no—
557C2×D4—44no—
558C2×D4—44no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—81no—
562C2×D4—81no—
563C2×D4—82no—
564C2×D4—81no—
565C2×D4—82no—
566C2×D4—82no—
567C2×D4—81no—
568C2×D4—81no—
569C2×D4—82no—
570C2×D4—82no—
571C2×D4—84no—
572C2×D4C2×D4×C4311yescharacteristic
573C2×D4C2×D4×C4312yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—81no—
582C22×C4—81no—
583C22×C4—81no—
584C22×C4C2×D4×C4312yes—
585C22×C4C2×D4×C4311yescharacteristic
586C22×C4C2×D4×C4311yescharacteristic
587C22×C4C2×D4×C4311yescharacteristic
588C22×C4C2×D4×C4311yescharacteristic
589C22×C4C2×D4×C4311yescharacteristic
590C22×C4C24×C4311yescharacteristic
591SD16—81no—
592D8—81no—
593D8—82no—
594M16—81no—
595C2×C8—21no—
596C2×C8—22no—
597C2×C8—21no—
598C2×C8—81no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C4⋊C4—44no—
609C4⋊C4C2×D4×C4312yes—
610C4⋊C4C2×D4×C4311yescharacteristic
611C4⋊C4C2×D4×C4311yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—44no—
627C22⋊C4—44no—
628C22⋊C4—41no—
629C22⋊C4—41no—
630C42—22no—
631C42—21no—
632C23—21no—
633C23—21no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—81no—
650C23—81no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23#120×C4311yescharacteristic
655C23#120×C4311yescharacteristic
656C23C22×D4×C4311yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—41no—
665D4—42no—
666D4—41no—
667D4—42no—
668D4—41no—
669D4—44no—
670D4—42no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—82no—
676D4—82no—
677D4—82no—
678D4—82no—
679D4—82no—
680D4—88no—
681D4—82no—
682D4—82no—
683C2×C4—24no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—81no—
702C2×C4—84no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4#120×C4311yescharacteristic
706C2×C4#120×C4311yescharacteristic
707C2×C4C22×D4×C4311yescharacteristic
708C2×C4C22×D4×C4311yescharacteristic
709C8—41no—
710C8—41no—
711C8—42no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—81no—
735C22—81no—
736C22—81no—
737C22—162no—
738C22—164no—
739C22C43×#45312yes—
740C22C2×#120×C4311yescharacteristic
741C22C43×#57611yescharacteristic
742C22C43×#57711yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—44no—
748C4—42no—
749C4—41no—
750C4—42no—
751C4—41no—
752C4—41no—
753C4—81no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—161no—
762C2C43×#301211yescharacteristic
763C2C2×C43×#45311yescharacteristic
764C2C43×#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×#3192C2semidirect
3. C43×#3188C2semidirect
4. C43×#2656C2semidirect
5. C43×#1618C2semidirect
6. C43×#1613C2semidirect
7. C43×#1600C2semidirect
8. C43×#1595C2semidirect
9. C43×#1504C2semidirect
10. C2×C43×#327C2semidirect
11. C43×#1471C2semidirect
28. C2×#121×C43C22semidirect
29. C43×#484C22semidirect
32. C43×#481C22semidirect
33. C43×#481C22semidirect
37. C43×#450C22semidirect
40. C43×#447C22semidirect
41. C43×#447C22semidirect
42. C43×#407C22semidirect
43. C2×C22⋊C8×C43C22semidirect
45. C43×#399C22semidirect
47. C43×#392C22semidirect
48. C2×#95×C43C22semidirect
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
84. C22⋊Q8×C43D4semidirect
105. #121×C43D4semidirect
106. #121×C43D4semidirect
123. #117×C43D4semidirect
126. C2×C4⋊C4×C43D4semidirect
329. #18418C43direct (N × H)
372. #3537C2×C43semidirect
373. #3192C2×C43semidirect
374. #3188C2×C43semidirect
375. #2656C2×C43semidirect
376. #1618C2×C43semidirect
377. #1613C2×C43semidirect
378. #1600C2×C43semidirect
379. #1595C2×C43semidirect
380. #1504C2×C43semidirect
381. C2×#327C2×C43semidirect
382. #1471C2×C43semidirect
410. C2×#121C22×C43semidirect
411. #484C22×C43semidirect
414. #481C22×C43semidirect
415. #481C22×C43semidirect
419. #450C22×C43semidirect
422. #447C22×C43semidirect
423. #447C22×C43semidirect
424. #407C22×C43semidirect
425. C2×C22⋊C8C22×C43semidirect
427. #399C22×C43semidirect
429. #392C22×C43semidirect
430. C2×#95C22×C43semidirect
431. #328C22×C43semidirect
432. #327C22×C43semidirect
433. #327C22×C43semidirect
434. #327C22×C43semidirect
435. #323C22×C43semidirect
436. #323C22×C43semidirect
437. C43#18418direct (N × H)
438. C2×#41D4×C43semidirect
447. C22×D4D4×C43semidirect
467. C22⋊Q8D4×C43semidirect
488. #121D4×C43semidirect
489. #121D4×C43semidirect
506. #117D4×C43semidirect
509. 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×#31922
C43×#31882
C43×#26562
C43×#16182
C43×#16132
C43×#16002
C43×#15952
C43×#15042
C2×C43×#3272
C43×#14712
#1841843