Finite Group Databasebeta

← C43×#19771 #24939788

Subgroups — C43×#19771 #24939788

Order 11008.

736 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3325C211yesmaximal, characteristic, complemented
2C43×#3303C211yesmaximal, characteristic, complemented
3C43×#3294C211yesmaximal, characteristic, complemented
4D4×D8×C43C211yesmaximal, characteristic, complemented
5C43×#1717C211yesmaximal, characteristic, complemented
6C43×#1701C211yesmaximal, characteristic, complemented
7C43×#1683C211yesmaximal, characteristic, complemented
8C43×#1677C211yesmaximal, characteristic, complemented
9C43×#1667C211yesmaximal, characteristic, complemented
10C43×#1639C211yesmaximal, characteristic, complemented
11C43×#1629C211yesmaximal, characteristic, complemented
12C43×#1625C211yesmaximal, characteristic, complemented
13C43×#1624C211yesmaximal, characteristic, complemented
14C43×#1581C211yesmaximal, characteristic, complemented
15C43×#1580C211yesmaximal, characteristic, complemented
16C22×D8×C43—21no—
17C43×#555C2211yescharacteristic, complemented
18C43×#547C2211yescharacteristic, complemented
19D42×C43C2211yescharacteristic
20D42×C43C2211yescharacteristic
21C43×#493C2211yescharacteristic
22C43×#492C2211yescharacteristic, complemented
23C43×#487C2211yescharacteristic, complemented
24C43×#486C2211yescharacteristic, complemented
25C43×#486C2211yescharacteristic, complemented
26C43×#486C2211yescharacteristic, complemented
27C43×#485—21no—
28C43×#482—21no—
29C43×#480—21no—
30C43×#476C2211yescharacteristic
31C43×#476C2211yescharacteristic, complemented
32C43×#474C2211yescharacteristic
33C43×#469—21no—
34C43×#466—21no—
35C43×#466—21no—
36C43×#465—21no—
37C43×#461C2211yescharacteristic, complemented
38C43×#459C2211yescharacteristic
39C43×#459C2211yescharacteristic
40C43×#459C2211yescharacteristic, complemented
41C43×#459C2211yescharacteristic, complemented
42C43×#449—21no—
43C43×#447—21no—
44C43×#447—21no—
45C43×#447—21no—
46C43×#447—21no—
47C4×D8×C43C2211yescharacteristic
48C4×D8×C43C2211yescharacteristic
49C43×#436C2211yescharacteristic, complemented
50C8×D4×C43C2211yescharacteristic
51C8×D4×C43C2211yescharacteristic, complemented
52C8×D4×C43C2211yescharacteristic, complemented
53C43×#418—21no—
54C43×#416—21no—
55C2×#102×C43—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#333C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic, complemented
62C43×D4⋊C8C2211yescharacteristic
63C43×D4⋊C8C2211yescharacteristic, complemented
64C43×D4⋊C8C2211yescharacteristic, complemented
65C43×D4⋊C8C2211yescharacteristic, complemented
66C43×#322C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C22×D4×C43—21no—
69C22×D4×C43—21no—
70C22×D4×C43—21no—
71C22×D4×C43—21no—
72C2×SD16×C43—21no—
73C2×SD16×C43—41no—
74C2×D8×C43—21no—
75C2×D8×C43—21no—
76C2×D8×C43—21no—
77C2×D8×C43—21no—
78C2×D8×C43—21no—
79C2×D8×C43—21no—
80C2×D8×C43—44no—
81C2×D8×C43D411yescharacteristic
82C2×D8×C43D411yescharacteristic
83C2×M16×C43—21no—
84C22×C8×C43—21no—
85C22×C8×C43—21no—
86C22×C8×C43—21no—
87C4⋊Q8×C43C2311yescharacteristic
88C4⋊Q8×C43C2311yescharacteristic
89#127×C43C2311yescharacteristic
90#127×C43C2311yescharacteristic
91#124×C43—41no—
92#123×C43—41no—
93C22⋊Q8×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—21no—
100#121×C43—21no—
101#120×C43—41no—
102#120×C43—41no—
103C4×D4×C43C2311yescharacteristic
104C4×D4×C43C2311yescharacteristic
105C4×D4×C43C2311yescharacteristic
106C4×D4×C43C2311yescharacteristic
107#117×C43—21no—
108#117×C43—21no—
109C2×C4⋊C4×C43—21no—
110#107×C43—21no—
111#107×C43D411yescharacteristic
112#107×C43D411yescharacteristic
113#106×C43—21no—
114#106×C43—21no—
115C4⋊C8×C43C2311yescharacteristic
116C4⋊C8×C43C2311yescharacteristic
117C4⋊C8×C43C2311yescharacteristic
118C4⋊C8×C43C2311yescharacteristic
119#103×C43—21no—
120#103×C43—21no—
121#103×C43—21no—
122#102×C43—21no—
123#102×C43—21no—
124#102×C43—21no—
125#102×C43—21no—
126#102×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—41no—
134#102×C43D411yescharacteristic
135#102×C43D411yescharacteristic
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142C4×C8×C43C2311yescharacteristic
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C24×C43—41no—
146C24×C43—41no—
147#41×C43—42no—
148#41×C43—81no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—41no—
158C2×D4×C43—41no—
159C2×D4×C43—41no—
160C2×D4×C43—41no—
161C2×D4×C43—41no—
162C2×D4×C43—41no—
163C2×D4×C43—42no—
164C2×D4×C43—42no—
165C2×D4×C43—42no—
166C2×D4×C43—42no—
167C2×D4×C43—81no—
168C2×D4×C43—81no—
169C2×D4×C43—81no—
170C2×D4×C43—81no—
171C2×D4×C43C2×D411yescharacteristic
172C2×D4×C43C2×D411yescharacteristic
173C2×D4×C43C2×D411yescharacteristic
174C2×D4×C43C2×D411yescharacteristic
175C22×C4×C43—21no—
176C22×C4×C43—21no—
177C22×C4×C43—21no—
178C22×C4×C43—21no—
179C22×C4×C43—41no—
180SD16×C43—81no—
181SD16×C43—82no—
182D8×C43—22no—
183D8×C43—22no—
184D8×C43—42no—
185D8×C43—42no—
186D8×C43—42no—
187D8×C43—81no—
188D8×C43—81no—
189D8×C43—81no—
190M16×C43—81no—
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—81no—
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—41no—
208C4⋊C4×C43C2×D411yescharacteristic
209C4⋊C4×C43C2×D411yescharacteristic
210C4⋊C4×C43C2×D411yescharacteristic
211C4⋊C4×C43C2×D411yescharacteristic
212C22⋊C4×C43—21no—
213C22⋊C4×C43—21no—
214C22⋊C4×C43—21no—
215C22⋊C4×C43—21no—
216C22⋊C4×C43—41no—
217C22⋊C4×C43—41no—
218C22⋊C4×C43—41no—
219C22⋊C4×C43—41no—
220C22⋊C4×C43—41no—
221C42×C43—41no—
222C42×C43C2411yescharacteristic
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43—82no—
230C23×C43—82no—
231C23×C43—82no—
232C23×C43—82no—
233C23×C43—161no—
234C23×C43—161no—
235Q8×C43—41no—
236Q8×C43—41no—
237Q8×C43—81no—
238D4×C43—21no—
239D4×C43—21no—
240D4×C43—21no—
241D4×C43—21no—
242D4×C43—21no—
243D4×C43—21no—
244D4×C43—41no—
245D4×C43—41no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—41no—
250D4×C43—41no—
251D4×C43—41no—
252D4×C43—81no—
253D4×C43—81no—
254D4×C43—82no—
255D4×C43—82no—
256D4×C43—82no—
257D4×C43—82no—
258D4×C43—82no—
259D4×C43—161no—
260D4×C43#13512yes—
261D4×C43AGL(1,ℤ/8)12yes—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
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—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—82no—
277C2×C4×C43C22×D411yescharacteristic
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43H(5,𝔽2)11yescharacteristic
280C8×C43—21no—
281C8×C43—21no—
282C8×C43—21no—
283C8×C43—21no—
284C8×C43—41no—
285C8×C43—41no—
286C8×C43—41no—
287C8×C43—41no—
288C8×C43—41no—
289#19771C4311yesmaximal, characteristic, direct product factor, Sylow
290C22×C43—22no—
291C22×C43—22no—
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—41no—
301C22×C43—41no—
302C22×C43—81no—
303C22×C43—81no—
304C22×C43—81no—
305C22×C43—81no—
306C22×C43—81no—
307C22×C43—81no—
308C22×C43—164no—
309C22×C43—164no—
310C22×C43D4211yescharacteristic
311C4×C43—21no—
312C4×C43—41no—
313C4×C43—41no—
314C4×C43—41no—
315C4×C43—41no—
316C4×C43—81no—
317C4×C43—81no—
318C4×C43C2×#13511yescharacteristic
319C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
320C4×C43#57611yescharacteristic
321C4×C43#57611yescharacteristic
322#3325C2×C4311yescharacteristic, complemented
323#3303C2×C4311yescharacteristic, complemented
324#3294C2×C4311yescharacteristic, complemented
325D4×D8C2×C4311yescharacteristic, complemented
326#1717C2×C4311yescharacteristic, complemented
327#1701C2×C4311yescharacteristic, complemented
328#1683C2×C4311yescharacteristic, complemented
329#1677C2×C4311yescharacteristic, complemented
330#1667C2×C4311yescharacteristic, complemented
331#1639C2×C4311yescharacteristic, complemented
332#1629C2×C4311yescharacteristic, complemented
333#1625C2×C4311yescharacteristic, complemented
334#1624C2×C4311yescharacteristic, complemented
335#1581C2×C4311yescharacteristic, complemented
336#1580C2×C4311yescharacteristic, complemented
337C2×C43—42no—
338C2×C43—42no—
339C2×C43—81no—
340C2×C43—81no—
341C2×C43—161no—
342C2×C43—161no—
343C2×C43#326411yescharacteristic
344C2×C43#328011yescharacteristic
345C2×C43#328811yescharacteristic
346C22×D8—21no—
347#555C22×C4311yescharacteristic, complemented
348#547C22×C4311yescharacteristic, complemented
349D42C22×C4311yescharacteristic
350D42C22×C4311yescharacteristic
351#493C22×C4311yescharacteristic
352#492C22×C4311yescharacteristic, complemented
353#487C22×C4311yescharacteristic, complemented
354#486C22×C4311yescharacteristic, complemented
355#486C22×C4311yescharacteristic, complemented
356#486C22×C4311yescharacteristic, complemented
357#485—21no—
358#482—21no—
359#480—21no—
360#476C22×C4311yescharacteristic
361#476C22×C4311yescharacteristic, complemented
362#474C22×C4311yescharacteristic
363#469—21no—
364#466—21no—
365#466—21no—
366#465—21no—
367#461C22×C4311yescharacteristic, complemented
368#459C22×C4311yescharacteristic
369#459C22×C4311yescharacteristic
370#459C22×C4311yescharacteristic, complemented
371#459C22×C4311yescharacteristic, complemented
372#449—21no—
373#447—21no—
374#447—21no—
375#447—21no—
376#447—21no—
377C4×D8C22×C4311yescharacteristic
378C4×D8C22×C4311yescharacteristic
379#436C22×C4311yescharacteristic, complemented
380C8×D4C22×C4311yescharacteristic
381C8×D4C22×C4311yescharacteristic, complemented
382C8×D4C22×C4311yescharacteristic, complemented
383#418—21no—
384#416—21no—
385C2×#102—21no—
386#335C22×C4311yescharacteristic, complemented
387#334C22×C4311yescharacteristic, complemented
388#333C22×C4311yescharacteristic, complemented
389#332C22×C4311yescharacteristic, complemented
390#331C22×C4311yescharacteristic, complemented
391#331C22×C4311yescharacteristic, complemented
392D4⋊C8C22×C4311yescharacteristic
393D4⋊C8C22×C4311yescharacteristic, complemented
394D4⋊C8C22×C4311yescharacteristic, complemented
395D4⋊C8C22×C4311yescharacteristic, complemented
396#322C22×C4311yescharacteristic, complemented
397C43#1977111yescharacteristic, direct product factor, Sylow
398C2×#41—21no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—21no—
403C2×SD16—21no—
404C2×SD16—41no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—44no—
412C2×D8D4×C4311yescharacteristic
413C2×D8D4×C4311yescharacteristic
414C2×M16—21no—
415C22×C8—21no—
416C22×C8—21no—
417C22×C8—21no—
418C4⋊Q8C23×C4311yescharacteristic
419C4⋊Q8C23×C4311yescharacteristic
420#127C23×C4311yescharacteristic
421#127C23×C4311yescharacteristic
422#124—41no—
423#123—41no—
424C22⋊Q8—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#120—41no—
433#120—41no—
434C4×D4C23×C4311yescharacteristic
435C4×D4C23×C4311yescharacteristic
436C4×D4C23×C4311yescharacteristic
437C4×D4C23×C4311yescharacteristic
438#117—21no—
439#117—21no—
440C2×C4⋊C4—21no—
441#107—21no—
442#107D4×C4311yescharacteristic
443#107D4×C4311yescharacteristic
444#106—21no—
445#106—21no—
446C4⋊C8C23×C4311yescharacteristic
447C4⋊C8C23×C4311yescharacteristic
448C4⋊C8C23×C4311yescharacteristic
449C4⋊C8C23×C4311yescharacteristic
450#103—21no—
451#103—21no—
452#103—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—21no—
460#102—21no—
461#102—21no—
462#102—21no—
463#102—21no—
464#102—41no—
465#102D4×C4311yescharacteristic
466#102D4×C4311yescharacteristic
467#102D4×C4311yescharacteristic
468#102D4×C4311yescharacteristic
469C22⋊C8—21no—
470C22⋊C8—21no—
471C22⋊C8—21no—
472C22⋊C8—21no—
473C4×C8C23×C4311yescharacteristic
474C4×C8C23×C4311yescharacteristic
475C4×C8C23×C4311yescharacteristic
476C24—41no—
477C24—41no—
478#41—42no—
479#41—81no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—41no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—41no—
497C2×D4—41no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4—81no—
502C2×D4C2×D4×C4311yescharacteristic
503C2×D4C2×D4×C4311yescharacteristic
504C2×D4C2×D4×C4311yescharacteristic
505C2×D4C2×D4×C4311yescharacteristic
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—41no—
511SD16—81no—
512SD16—82no—
513D8—22no—
514D8—22no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—81no—
519D8—81no—
520D8—81no—
521M16—81no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—42no—
528C2×C8—81no—
529C2×C8—81no—
530C2×C8C2×D4×C4311yescharacteristic
531C2×C8C2×D4×C4311yescharacteristic
532C2×C8C2×D4×C4311yescharacteristic
533C2×C8C2×D4×C4311yescharacteristic
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—41no—
539C4⋊C4C2×D4×C4311yescharacteristic
540C4⋊C4C2×D4×C4311yescharacteristic
541C4⋊C4C2×D4×C4311yescharacteristic
542C4⋊C4C2×D4×C4311yescharacteristic
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C22⋊C4—41no—
552C42—41no—
553C42C24×C4311yescharacteristic
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—41no—
559C23—41no—
560C23—82no—
561C23—82no—
562C23—82no—
563C23—82no—
564C23—161no—
565C23—161no—
566Q8—41no—
567Q8—41no—
568Q8—81no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—21no—
573D4—21no—
574D4—21no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—81no—
584D4—81no—
585D4—82no—
586D4—82no—
587D4—82no—
588D4—82no—
589D4—82no—
590D4—161no—
591D4#135×C4312yes—
592D4AGL(1,ℤ/8)×C4312yes—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—82no—
608C2×C4C22×D4×C4311yescharacteristic
609C2×C4C22×D4×C4311yescharacteristic
610C2×C4H(5,𝔽2)×C4311yescharacteristic
611C8—21no—
612C8—21no—
613C8—21no—
614C8—21no—
615C8—41no—
616C8—41no—
617C8—41no—
618C8—41no—
619C8—41no—
620C22—22no—
621C22—22no—
622C22—41no—
623C22—41no—
624C22—41no—
625C22—41no—
626C22—41no—
627C22—41no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22—81no—
636C22—81no—
637C22—81no—
638C22—164no—
639C22—164no—
640C22D42×C4311yescharacteristic
641C4—21no—
642C4—41no—
643C4—41no—
644C4—41no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4C2×#135×C4311yescharacteristic
649C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
650C4C43×#57611yescharacteristic
651C4C43×#57611yescharacteristic
652C2—42no—
653C2—42no—
654C2—81no—
655C2—81no—
656C2—161no—
657C2—161no—
658C2C43×#326411yescharacteristic
659C2C43×#328011yescharacteristic
660C2C43×#328811yescharacteristic
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×#3325C2semidirect
2. C43×#3303C2semidirect
3. C43×#3294C2semidirect
4. D4×D8×C43C2semidirect
5. C43×#1717C2semidirect
6. C43×#1701C2semidirect
7. C43×#1683C2semidirect
8. C43×#1677C2semidirect
9. C43×#1667C2semidirect
10. C43×#1639C2semidirect
11. C43×#1629C2semidirect
12. C43×#1625C2semidirect
13. C43×#1624C2semidirect
14. C43×#1581C2semidirect
15. C43×#1580C2semidirect
17. C43×#555C22semidirect
18. C43×#547C22semidirect
22. C43×#492C22semidirect
23. C43×#487C22semidirect
24. C43×#486C22semidirect
25. C43×#486C22semidirect
26. C43×#486C22semidirect
31. C43×#476C22semidirect
37. C43×#461C22semidirect
40. C43×#459C22semidirect
41. C43×#459C22semidirect
49. C43×#436C22semidirect
51. C8×D4×C43C22semidirect
52. C8×D4×C43C22semidirect
56. C43×#335C22semidirect
57. C43×#334C22semidirect
58. C43×#333C22semidirect
59. C43×#332C22semidirect
60. C43×#331C22semidirect
61. C43×#331C22semidirect
63. C43×D4⋊C8C22semidirect
64. C43×D4⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
289. #19771C43direct (N × H)
322. #3325C2×C43semidirect
323. #3303C2×C43semidirect
324. #3294C2×C43semidirect
325. D4×D8C2×C43semidirect
326. #1717C2×C43semidirect
327. #1701C2×C43semidirect
328. #1683C2×C43semidirect
329. #1677C2×C43semidirect
330. #1667C2×C43semidirect
331. #1639C2×C43semidirect
332. #1629C2×C43semidirect
333. #1625C2×C43semidirect
334. #1624C2×C43semidirect
335. #1581C2×C43semidirect
336. #1580C2×C43semidirect
347. #555C22×C43semidirect
348. #547C22×C43semidirect
352. #492C22×C43semidirect
353. #487C22×C43semidirect
354. #486C22×C43semidirect
355. #486C22×C43semidirect
356. #486C22×C43semidirect
361. #476C22×C43semidirect
367. #461C22×C43semidirect
370. #459C22×C43semidirect
371. #459C22×C43semidirect
379. #436C22×C43semidirect
381. C8×D4C22×C43semidirect
382. C8×D4C22×C43semidirect
386. #335C22×C43semidirect
387. #334C22×C43semidirect
388. #333C22×C43semidirect
389. #332C22×C43semidirect
390. #331C22×C43semidirect
391. #331C22×C43semidirect
393. D4⋊C8C22×C43semidirect
394. D4⋊C8C22×C43semidirect
395. D4⋊C8C22×C43semidirect
396. #322C22×C43semidirect
397. C43#19771direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#33252
C43×#33032
C43×#32942
D4×D8×C432
C43×#17172
C43×#17012
C43×#16832
C43×#16772
C43×#16672
C43×#16392
C43×#16292
C43×#16252
C43×#16242
C43×#15812
C43×#15802
#1977143