Finite Group Databasebeta

← C43×#20266 #24940283

Subgroups — C43×#20266 #24940283

Order 11008.

694 conjugacy classes of subgroups.

The subgroup lattice has 646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3399C211yesmaximal, characteristic, complemented
2C43×#3394C211yesmaximal, characteristic, complemented
3C43×#3324C211yesmaximal, characteristic, complemented
4C43×#3274C211yesmaximal, characteristic, complemented
5C43×#1721C211yesmaximal, characteristic, complemented
6C43×#1702C211yesmaximal, characteristic, complemented
7C43×#1687C211yesmaximal, characteristic, complemented
8C43×#1685C211yesmaximal, characteristic, complemented
9C43×#1668C211yesmaximal, characteristic, complemented
10C43×#1641C211yesmaximal, characteristic, complemented
11C43×#1628C211yesmaximal, characteristic, complemented
12C43×#1620C211yesmaximal, characteristic, complemented
13C43×#1619C211yesmaximal, characteristic, complemented
14C43×#1592C211yesmaximal, characteristic, complemented
15C43×#1583C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C43×#559C2211yescharacteristic, complemented
18C43×#556C2211yescharacteristic
19C43×#550C2211yescharacteristic
20D42×C43C2211yescharacteristic
21C43×#496—21no—
22C43×#495—21no—
23C43×#493C2211yescharacteristic
24C43×#493C2211yescharacteristic
25C43×#493C2211yescharacteristic, complemented
26C43×#492C2211yescharacteristic, complemented
27C43×#486C2211yescharacteristic
28C43×#486C2211yescharacteristic, complemented
29C43×#482—21no—
30C43×#474C2211yescharacteristic
31C43×#469—21no—
32C43×#468—21no—
33C43×#464—21no—
34C43×#463—21no—
35C43×#463—21no—
36C43×#462C2211yescharacteristic, complemented
37C43×#460C2211yescharacteristic
38C43×#460C2211yescharacteristic
39C43×#460C2211yescharacteristic, complemented
40C43×#459—21no—
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#459C2211yescharacteristic
44C43×#450—21no—
45C43×#449—21no—
46C43×#447—21no—
47C43×#446C2211yescharacteristic, complemented
48C8×Q8×C43C2211yescharacteristic, complemented
49C43×#442—21no—
50C4×SD16×C43—21no—
51C4×SD16×C43C2211yescharacteristic
52C4×SD16×C43C2211yescharacteristic
53C43×#436C2211yescharacteristic
54C43×#436C2211yescharacteristic
55C43×#418—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#332C2211yescharacteristic, complemented
59C43×#331C2211yescharacteristic
60C43×#331C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic, complemented
62C43×Q8⋊C8C2211yescharacteristic, complemented
63C43×Q8⋊C8C2211yescharacteristic, complemented
64C43×D4⋊C8C2211yescharacteristic
65C43×D4⋊C8C2211yescharacteristic
66C43×#322C2211yescharacteristic, complemented
67C2×#41×C43—21no—
68C22×D4×C43—21no—
69C22×D4×C43—21no—
70AGL(1,ℤ/8)×C43—44no—
71C2×Q16×C43—21no—
72C2×SD16×C43—21no—
73C2×SD16×C43—21no—
74C2×SD16×C43—21no—
75C2×SD16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43D411yescharacteristic
78C2×SD16×C43D411yescharacteristic
79C2×D8×C43—21no—
80C2×D8×C43—21no—
81C2×D8×C43—21no—
82C2×D8×C43—21no—
83C2×D8×C43—21no—
84C2×D8×C43—21no—
85C2×D8×C43—21no—
86C2×D8×C43—41no—
87C2×M16×C43—21no—
88C2×M16×C43—21no—
89C4⋊Q8×C43C2311yescharacteristic
90#127×C43—21no—
91#127×C43C2311yescharacteristic
92#127×C43C2311yescharacteristic
93#127×C43C2311yescharacteristic
94#126×C43—41no—
95#124×C43—21no—
96#124×C43—21no—
97#124×C43—21no—
98#123×C43—41no—
99C22⋊Q8×C43—21no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#121×C43—41no—
104#120×C43—41no—
105C4×Q8×C43—21no—
106C4×Q8×C43C2311yescharacteristic
107C4×Q8×C43C2311yescharacteristic
108C4×D4×C43—21no—
109C4×D4×C43—21no—
110C4×D4×C43—21no—
111C4×D4×C43C2311yescharacteristic
112C4×D4×C43C2311yescharacteristic
113#117×C43—21no—
114#107×C43—21no—
115#106×C43D411yescharacteristic
116#106×C43D411yescharacteristic
117C4⋊C8×C43—21no—
118C4⋊C8×C43—21no—
119C4⋊C8×C43C2311yescharacteristic
120C4⋊C8×C43C2311yescharacteristic
121C4⋊C8×C43C2311yescharacteristic
122C4⋊C8×C43C2311yescharacteristic
123#103×C43—21no—
124#103×C43D411yescharacteristic
125#103×C43D411yescharacteristic
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—21no—
134#102×C43—21no—
135#102×C43—41no—
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138C22⋊C8×C43—21no—
139C22⋊C8×C43—21no—
140#97×C43—21no—
141C4×C8×C43—21no—
142C4×C8×C43C2311yescharacteristic
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C24×C43—41no—
146#41×C43—42no—
147#41×C43—81no—
148C2×Q8×C43—21no—
149C2×Q8×C43C2×D411yescharacteristic
150C2×Q8×C43C2×D411yescharacteristic
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—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—41no—
161C2×D4×C43—41no—
162C2×D4×C43—41no—
163C2×D4×C43—41no—
164C2×D4×C43—42no—
165C2×D4×C43—42no—
166C2×D4×C43—81no—
167C2×D4×C43—81no—
168C2×D4×C43C2×D411yescharacteristic
169C2×D4×C43C2×D411yescharacteristic
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—41no—
173C22×C4×C43—41no—
174Q16×C43—81no—
175SD16×C43—22no—
176SD16×C43—41no—
177SD16×C43—42no—
178SD16×C43—42no—
179SD16×C43—81no—
180SD16×C43—81no—
181SD16×C43—81no—
182D8×C43—42no—
183D8×C43—42no—
184D8×C43—42no—
185D8×C43—81no—
186D8×C43—81no—
187D8×C43—81no—
188D8×C43—81no—
189D8×C43—82no—
190M16×C43—42no—
191M16×C43—81no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
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—41no—
206C4⋊C4×C43C2×D411yescharacteristic
207C4⋊C4×C43C2×D411yescharacteristic
208C4⋊C4×C43C2×D411yescharacteristic
209C4⋊C4×C43C2×D411yescharacteristic
210C22⋊C4×C43—21no—
211C22⋊C4×C43—21no—
212C22⋊C4×C43—41no—
213C22⋊C4×C43—41no—
214C22⋊C4×C43—41no—
215C22⋊C4×C43—41no—
216C22⋊C4×C43—41no—
217C22⋊C4×C43—41no—
218C22⋊C4×C43—41no—
219C42×C43—21no—
220C42×C43—21no—
221C42×C43—41no—
222C42×C43C2411yescharacteristic
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—41no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—82no—
229C23×C43—82no—
230C23×C43—161no—
231Q8×C43—21no—
232Q8×C43—21no—
233Q8×C43—21no—
234Q8×C43—21no—
235Q8×C43—41no—
236Q8×C43—41no—
237D4×C43—21no—
238D4×C43—21no—
239D4×C43—21no—
240D4×C43—21no—
241D4×C43—41no—
242D4×C43—41no—
243D4×C43—41no—
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—41no—
253D4×C43—81no—
254D4×C43—81no—
255D4×C43—81no—
256D4×C43—82no—
257D4×C43—82no—
258D4×C43—82no—
259D4×C43—161no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
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—82no—
272C2×C4×C43—161no—
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C8×C43—21no—
277C8×C43—21no—
278C8×C43—21no—
279C8×C43—41no—
280C8×C43—41no—
281C8×C43—41no—
282C8×C43—41no—
283C8×C43—41no—
284C8×C43AGL(1,ℤ/8)12yes—
285#20266C4311yesmaximal, characteristic, direct product factor, Sylow
286C22×C43—41no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—41no—
290C22×C43—41no—
291C22×C43—41no—
292C22×C43—81no—
293C22×C43—81no—
294C22×C43—81no—
295C22×C43—81no—
296C22×C43—81no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43—164no—
302C22×C43D4211yescharacteristic
303C4×C43—21no—
304C4×C43—41no—
305C4×C43—41no—
306C4×C43—41no—
307C4×C43—41no—
308C4×C43—41no—
309C4×C43—41no—
310C4×C43—81no—
311C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
312C4×C43#57511yescharacteristic
313C4×C43#57611yescharacteristic
314C4×C43#57611yescharacteristic
315#3399C2×C4311yescharacteristic, complemented
316#3394C2×C4311yescharacteristic, complemented
317#3324C2×C4311yescharacteristic, complemented
318#3274C2×C4311yescharacteristic, complemented
319#1721C2×C4311yescharacteristic, complemented
320#1702C2×C4311yescharacteristic, complemented
321#1687C2×C4311yescharacteristic, complemented
322#1685C2×C4311yescharacteristic, complemented
323#1668C2×C4311yescharacteristic, complemented
324#1641C2×C4311yescharacteristic, complemented
325#1628C2×C4311yescharacteristic, complemented
326#1620C2×C4311yescharacteristic, complemented
327#1619C2×C4311yescharacteristic, complemented
328#1592C2×C4311yescharacteristic, complemented
329#1583C2×C4311yescharacteristic, complemented
330C2×C43—81no—
331C2×C43—81no—
332C2×C43—161no—
333C2×C43—161no—
334C2×C43—161no—
335C2×C43#326811yescharacteristic
336C2×C43#327411yescharacteristic
337C2×C43#328811yescharacteristic
338C2×AGL(1,ℤ/8)—21no—
339#559C22×C4311yescharacteristic, complemented
340#556C22×C4311yescharacteristic
341#550C22×C4311yescharacteristic
342D42C22×C4311yescharacteristic
343#496—21no—
344#495—21no—
345#493C22×C4311yescharacteristic
346#493C22×C4311yescharacteristic
347#493C22×C4311yescharacteristic, complemented
348#492C22×C4311yescharacteristic, complemented
349#486C22×C4311yescharacteristic
350#486C22×C4311yescharacteristic, complemented
351#482—21no—
352#474C22×C4311yescharacteristic
353#469—21no—
354#468—21no—
355#464—21no—
356#463—21no—
357#463—21no—
358#462C22×C4311yescharacteristic, complemented
359#460C22×C4311yescharacteristic
360#460C22×C4311yescharacteristic
361#460C22×C4311yescharacteristic, complemented
362#459—21no—
363#459C22×C4311yescharacteristic
364#459C22×C4311yescharacteristic
365#459C22×C4311yescharacteristic
366#450—21no—
367#449—21no—
368#447—21no—
369#446C22×C4311yescharacteristic, complemented
370C8×Q8C22×C4311yescharacteristic, complemented
371#442—21no—
372C4×SD16—21no—
373C4×SD16C22×C4311yescharacteristic
374C4×SD16C22×C4311yescharacteristic
375#436C22×C4311yescharacteristic
376#436C22×C4311yescharacteristic
377#418—21no—
378#335C22×C4311yescharacteristic, complemented
379#334C22×C4311yescharacteristic, complemented
380#332C22×C4311yescharacteristic, complemented
381#331C22×C4311yescharacteristic
382#331C22×C4311yescharacteristic, complemented
383#331C22×C4311yescharacteristic, complemented
384Q8⋊C8C22×C4311yescharacteristic, complemented
385Q8⋊C8C22×C4311yescharacteristic, complemented
386D4⋊C8C22×C4311yescharacteristic
387D4⋊C8C22×C4311yescharacteristic
388#322C22×C4311yescharacteristic, complemented
389C43#2026611yescharacteristic, direct product factor, Sylow
390C2×#41—21no—
391C22×D4—21no—
392C22×D4—21no—
393AGL(1,ℤ/8)—44no—
394C2×Q16—21no—
395C2×SD16—21no—
396C2×SD16—21no—
397C2×SD16—21no—
398C2×SD16—21no—
399C2×SD16—21no—
400C2×SD16D4×C4311yescharacteristic
401C2×SD16D4×C4311yescharacteristic
402C2×D8—21no—
403C2×D8—21no—
404C2×D8—21no—
405C2×D8—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8—21no—
409C2×D8—41no—
410C2×M16—21no—
411C2×M16—21no—
412C4⋊Q8C23×C4311yescharacteristic
413#127—21no—
414#127C23×C4311yescharacteristic
415#127C23×C4311yescharacteristic
416#127C23×C4311yescharacteristic
417#126—41no—
418#124—21no—
419#124—21no—
420#124—21no—
421#123—41no—
422C22⋊Q8—21no—
423#121—21no—
424#121—21no—
425#121—21no—
426#121—41no—
427#120—41no—
428C4×Q8—21no—
429C4×Q8C23×C4311yescharacteristic
430C4×Q8C23×C4311yescharacteristic
431C4×D4—21no—
432C4×D4—21no—
433C4×D4—21no—
434C4×D4C23×C4311yescharacteristic
435C4×D4C23×C4311yescharacteristic
436#117—21no—
437#107—21no—
438#106D4×C4311yescharacteristic
439#106D4×C4311yescharacteristic
440C4⋊C8—21no—
441C4⋊C8—21no—
442C4⋊C8C23×C4311yescharacteristic
443C4⋊C8C23×C4311yescharacteristic
444C4⋊C8C23×C4311yescharacteristic
445C4⋊C8C23×C4311yescharacteristic
446#103—21no—
447#103D4×C4311yescharacteristic
448#103D4×C4311yescharacteristic
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—41no—
459#102D4×C4311yescharacteristic
460#102D4×C4311yescharacteristic
461C22⋊C8—21no—
462C22⋊C8—21no—
463#97—21no—
464C4×C8—21no—
465C4×C8C23×C4311yescharacteristic
466C4×C8C23×C4311yescharacteristic
467C4×C8C23×C4311yescharacteristic
468C24—41no—
469#41—42no—
470#41—81no—
471C2×Q8—21no—
472C2×Q8C2×D4×C4311yescharacteristic
473C2×Q8C2×D4×C4311yescharacteristic
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—41no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—81no—
490C2×D4—81no—
491C2×D4C2×D4×C4311yescharacteristic
492C2×D4C2×D4×C4311yescharacteristic
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—41no—
496C22×C4—41no—
497Q16—81no—
498SD16—22no—
499SD16—41no—
500SD16—42no—
501SD16—42no—
502SD16—81no—
503SD16—81no—
504SD16—81no—
505D8—42no—
506D8—42no—
507D8—42no—
508D8—81no—
509D8—81no—
510D8—81no—
511D8—81no—
512D8—82no—
513M16—42no—
514M16—81no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8C2×D4×C4311yescharacteristic
521C2×C8C2×D4×C4311yescharacteristic
522C2×C8C2×D4×C4311yescharacteristic
523C2×C8C2×D4×C4311yescharacteristic
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—41no—
529C4⋊C4C2×D4×C4311yescharacteristic
530C4⋊C4C2×D4×C4311yescharacteristic
531C4⋊C4C2×D4×C4311yescharacteristic
532C4⋊C4C2×D4×C4311yescharacteristic
533C22⋊C4—21no—
534C22⋊C4—21no—
535C22⋊C4—41no—
536C22⋊C4—41no—
537C22⋊C4—41no—
538C22⋊C4—41no—
539C22⋊C4—41no—
540C22⋊C4—41no—
541C22⋊C4—41no—
542C42—21no—
543C42—21no—
544C42—41no—
545C42C24×C4311yescharacteristic
546C23—21no—
547C23—21no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—82no—
552C23—82no—
553C23—161no—
554Q8—21no—
555Q8—21no—
556Q8—21no—
557Q8—21no—
558Q8—41no—
559Q8—41no—
560D4—21no—
561D4—21no—
562D4—21no—
563D4—21no—
564D4—41no—
565D4—41no—
566D4—41no—
567D4—41no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—81no—
577D4—81no—
578D4—81no—
579D4—82no—
580D4—82no—
581D4—82no—
582D4—161no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—82no—
595C2×C4—161no—
596C2×C4C22×D4×C4311yescharacteristic
597C2×C4C22×D4×C4311yescharacteristic
598C2×C4H(5,𝔽2)×C4311yescharacteristic
599C8—21no—
600C8—21no—
601C8—21no—
602C8—41no—
603C8—41no—
604C8—41no—
605C8—41no—
606C8—41no—
607C8AGL(1,ℤ/8)×C4312yes—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22—81no—
620C22—81no—
621C22—81no—
622C22—81no—
623C22—164no—
624C22D42×C4311yescharacteristic
625C4—21no—
626C4—41no—
627C4—41no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—41no—
632C4—81no—
633C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
634C4C43×#57511yescharacteristic
635C4C43×#57611yescharacteristic
636C4C43×#57611yescharacteristic
637C2—81no—
638C2—81no—
639C2—161no—
640C2—161no—
641C2—161no—
642C2C43×#326811yescharacteristic
643C2C43×#327411yescharacteristic
644C2C43×#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×#3399C2semidirect
2. C43×#3394C2semidirect
3. C43×#3324C2semidirect
4. C43×#3274C2semidirect
5. C43×#1721C2semidirect
6. C43×#1702C2semidirect
7. C43×#1687C2semidirect
8. C43×#1685C2semidirect
9. C43×#1668C2semidirect
10. C43×#1641C2semidirect
11. C43×#1628C2semidirect
12. C43×#1620C2semidirect
13. C43×#1619C2semidirect
14. C43×#1592C2semidirect
15. C43×#1583C2semidirect
17. C43×#559C22semidirect
25. C43×#493C22semidirect
26. C43×#492C22semidirect
28. C43×#486C22semidirect
36. C43×#462C22semidirect
39. C43×#460C22semidirect
47. C43×#446C22semidirect
48. C8×Q8×C43C22semidirect
56. C43×#335C22semidirect
57. C43×#334C22semidirect
58. C43×#332C22semidirect
60. C43×#331C22semidirect
61. C43×#331C22semidirect
62. C43×Q8⋊C8C22semidirect
63. C43×Q8⋊C8C22semidirect
66. C43×#322C22semidirect
285. #20266C43direct (N × H)
315. #3399C2×C43semidirect
316. #3394C2×C43semidirect
317. #3324C2×C43semidirect
318. #3274C2×C43semidirect
319. #1721C2×C43semidirect
320. #1702C2×C43semidirect
321. #1687C2×C43semidirect
322. #1685C2×C43semidirect
323. #1668C2×C43semidirect
324. #1641C2×C43semidirect
325. #1628C2×C43semidirect
326. #1620C2×C43semidirect
327. #1619C2×C43semidirect
328. #1592C2×C43semidirect
329. #1583C2×C43semidirect
339. #559C22×C43semidirect
347. #493C22×C43semidirect
348. #492C22×C43semidirect
350. #486C22×C43semidirect
358. #462C22×C43semidirect
361. #460C22×C43semidirect
369. #446C22×C43semidirect
370. C8×Q8C22×C43semidirect
378. #335C22×C43semidirect
379. #334C22×C43semidirect
380. #332C22×C43semidirect
382. #331C22×C43semidirect
383. #331C22×C43semidirect
384. Q8⋊C8C22×C43semidirect
385. Q8⋊C8C22×C43semidirect
388. #322C22×C43semidirect
389. C43#20266direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#33992
C43×#33942
C43×#33242
C43×#32742
C43×#17212
C43×#17022
C43×#16872
C43×#16852
C43×#16682
C43×#16412
C43×#16282
C43×#16202
C43×#16192
C43×#15922
C43×#15832
#2026643