Finite Group Databasebeta

← C43×#20192 #24940209

Subgroups — C43×#20192 #24940209

Order 11008.

732 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3399C211yesmaximal, characteristic, complemented
2C43×#3373C211yesmaximal, characteristic, complemented
3D4×SD16×C43C211yesmaximal, characteristic, complemented
4C43×#3274C211yesmaximal, characteristic, complemented
5C43×#1721C211yesmaximal, characteristic, complemented
6C43×#1701C211yesmaximal, characteristic, complemented
7C43×#1688C211yesmaximal, characteristic, complemented
8C43×#1686C211yesmaximal, characteristic, complemented
9C43×#1667C211yesmaximal, characteristic, complemented
10C43×#1642C211yesmaximal, characteristic, complemented
11C43×#1627C211yesmaximal, characteristic, complemented
12C43×#1620C211yesmaximal, characteristic, complemented
13C43×#1619C211yesmaximal, characteristic, complemented
14C43×#1592C211yesmaximal, characteristic, complemented
15C43×#1582C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C22×SD16×C43—21no—
18C43×#559C2211yescharacteristic, complemented
19C43×#550C2211yescharacteristic
20D4×Q8×C43C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#496—21no—
23C43×#493C2211yescharacteristic
24C43×#493C2211yescharacteristic
25C43×#493C2211yescharacteristic, complemented
26C43×#492C2211yescharacteristic
27C43×#489—21no—
28C43×#486C2211yescharacteristic, complemented
29C43×#486C2211yescharacteristic, complemented
30C43×#476—21no—
31C43×#475C2211yescharacteristic, complemented
32C43×#469—21no—
33C43×#465—21no—
34C43×#463—21no—
35C43×#463—21no—
36C43×#461C2211yescharacteristic
37C43×#460C2211yescharacteristic
38C43×#460C2211yescharacteristic
39C43×#460C2211yescharacteristic, complemented
40C43×#459—21no—
41C43×#459C2211yescharacteristic
42C43×#459C2211yescharacteristic
43C43×#459C2211yescharacteristic
44C43×#450—21no—
45C43×#449—21no—
46C43×#448—21no—
47C43×#447—21no—
48C43×#446C2211yescharacteristic, complemented
49C43×#446C2211yescharacteristic, complemented
50C43×#442—21no—
51C43×#442—21no—
52C4×SD16×C43C2211yescharacteristic
53C4×SD16×C43C2211yescharacteristic
54C43×#436C2211yescharacteristic
55C8×D4×C43C2211yescharacteristic
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×Q8×C43—21no—
69C22×D4×C43—21no—
70C22×D4×C43—21no—
71AGL(1,ℤ/8)×C43—44no—
72C2×SD16×C43—21no—
73C2×SD16×C43—21no—
74C2×SD16×C43—21no—
75C2×SD16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43—21no—
78C2×SD16×C43—44no—
79C2×SD16×C43D411yescharacteristic
80C2×SD16×C43D411yescharacteristic
81C2×D8×C43—21no—
82C2×D8×C43—21no—
83C2×D8×C43—21no—
84C2×D8×C43—21no—
85C2×D8×C43—21no—
86C2×D8×C43—21no—
87C2×D8×C43—21no—
88C2×D8×C43—41no—
89C2×M16×C43—21no—
90C22×C8×C43—21no—
91C4⋊Q8×C43—21no—
92C4⋊Q8×C43C2311yescharacteristic
93#127×C43—21no—
94#127×C43C2311yescharacteristic
95#127×C43C2311yescharacteristic
96#127×C43C2311yescharacteristic
97#124×C43—21no—
98#124×C43—21no—
99#123×C43—41no—
100C22⋊Q8×C43—21no—
101C22⋊Q8×C43—41no—
102#121×C43—21no—
103#121×C43—21no—
104#121×C43—21no—
105#121×C43—41no—
106#120×C43—41no—
107C4×Q8×C43C2311yescharacteristic
108C4×Q8×C43C2311yescharacteristic
109C4×D4×C43—21no—
110C4×D4×C43—21no—
111C4×D4×C43—21no—
112C4×D4×C43—21no—
113C4×D4×C43C2311yescharacteristic
114C4×D4×C43C2311yescharacteristic
115#106×C43—21no—
116#106×C43D411yescharacteristic
117#106×C43D411yescharacteristic
118C4⋊C8×C43—21no—
119C4⋊C8×C43—21no—
120C4⋊C8×C43C2311yescharacteristic
121C4⋊C8×C43C2311yescharacteristic
122C4⋊C8×C43C2311yescharacteristic
123C4⋊C8×C43C2311yescharacteristic
124#103×C43—21no—
125#103×C43—21no—
126#103×C43D411yescharacteristic
127#103×C43D411yescharacteristic
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—21no—
136#102×C43—41no—
137#102×C43D411yescharacteristic
138#102×C43D411yescharacteristic
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141#97×C43—21no—
142#97×C43—21no—
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C24×C43—41no—
147#41×C43—42no—
148#41×C43—81no—
149C2×Q8×C43—21no—
150C2×Q8×C43—41no—
151C2×Q8×C43—42no—
152C2×Q8×C43—81no—
153C2×Q8×C43C2×D411yescharacteristic
154C2×Q8×C43C2×D411yescharacteristic
155C2×D4×C43—21no—
156C2×D4×C43—21no—
157C2×D4×C43—21no—
158C2×D4×C43—21no—
159C2×D4×C43—21no—
160C2×D4×C43—21no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—41no—
165C2×D4×C43—41no—
166C2×D4×C43—41no—
167C2×D4×C43—41no—
168C2×D4×C43—42no—
169C2×D4×C43—42no—
170C2×D4×C43—81no—
171C2×D4×C43—81no—
172C2×D4×C43C2×D411yescharacteristic
173C2×D4×C43C2×D411yescharacteristic
174C22×C4×C43—21no—
175C22×C4×C43—21no—
176C22×C4×C43—41no—
177C22×C4×C43—41no—
178C22×C4×C43—41no—
179SD16×C43—22no—
180SD16×C43—22no—
181SD16×C43—42no—
182SD16×C43—42no—
183SD16×C43—42no—
184SD16×C43—42no—
185SD16×C43—81no—
186SD16×C43—81no—
187D8×C43—42no—
188D8×C43—42no—
189D8×C43—42no—
190D8×C43—42no—
191D8×C43—81no—
192D8×C43—81no—
193D8×C43—81no—
194D8×C43—82no—
195M16×C43—42no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—42no—
202C2×C8×C43C2×D411yescharacteristic
203C2×C8×C43C2×D411yescharacteristic
204C2×C8×C43C2×D411yescharacteristic
205C2×C8×C43C2×D411yescharacteristic
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43—41no—
211C4⋊C4×C43C2×D411yescharacteristic
212C4⋊C4×C43C2×D411yescharacteristic
213C4⋊C4×C43C2×D411yescharacteristic
214C4⋊C4×C43C2×D411yescharacteristic
215C22⋊C4×C43—21no—
216C22⋊C4×C43—21no—
217C22⋊C4×C43—41no—
218C22⋊C4×C43—41no—
219C22⋊C4×C43—41no—
220C22⋊C4×C43—41no—
221C22⋊C4×C43—41no—
222C22⋊C4×C43—41no—
223C42×C43—21no—
224C42×C43—21no—
225C42×C43C2411yescharacteristic
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—82no—
232C23×C43—82no—
233C23×C43—161no—
234Q8×C43—21no—
235Q8×C43—21no—
236Q8×C43—21no—
237Q8×C43—21no—
238Q8×C43—41no—
239Q8×C43—41no—
240Q8×C43—82no—
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—41no—
253D4×C43—41no—
254D4×C43—41no—
255D4×C43—41no—
256D4×C43—81no—
257D4×C43—81no—
258D4×C43—81no—
259D4×C43—82no—
260D4×C43—82no—
261D4×C43—82no—
262D4×C43—161no—
263D4×C43AGL(1,ℤ/8)12yes—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—82no—
276C2×C4×C43—82no—
277C2×C4×C43—161no—
278C2×C4×C43C22×D411yescharacteristic
279C2×C4×C43C22×D411yescharacteristic
280C2×C4×C43H(5,𝔽2)11yescharacteristic
281C8×C43—21no—
282C8×C43—21no—
283C8×C43—21no—
284C8×C43—41no—
285C8×C43—41no—
286C8×C43—41no—
287C8×C43—41no—
288C8×C43—41no—
289C8×C43AGL(1,ℤ/8)12yescomplemented
290#20192C4311yesmaximal, characteristic, direct product factor, Sylow
291C22×C43—22no—
292C22×C43—41no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43—81no—
302C22×C43—81no—
303C22×C43—81no—
304C22×C43—81no—
305C22×C43—81no—
306C22×C43—164no—
307C22×C43D4211yescharacteristic
308C4×C43—21no—
309C4×C43—41no—
310C4×C43—41no—
311C4×C43—41no—
312C4×C43—41no—
313C4×C43—41no—
314C4×C43—41no—
315C4×C43—81no—
316C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
317C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
318C4×C43#57611yescharacteristic
319C4×C43#57711yescharacteristic
320#3399C2×C4311yescharacteristic, complemented
321#3373C2×C4311yescharacteristic, complemented
322D4×SD16C2×C4311yescharacteristic, complemented
323#3274C2×C4311yescharacteristic, complemented
324#1721C2×C4311yescharacteristic, complemented
325#1701C2×C4311yescharacteristic, complemented
326#1688C2×C4311yescharacteristic, complemented
327#1686C2×C4311yescharacteristic, complemented
328#1667C2×C4311yescharacteristic, complemented
329#1642C2×C4311yescharacteristic, complemented
330#1627C2×C4311yescharacteristic, complemented
331#1620C2×C4311yescharacteristic, complemented
332#1619C2×C4311yescharacteristic, complemented
333#1592C2×C4311yescharacteristic, complemented
334#1582C2×C4311yescharacteristic, complemented
335C2×C43—42no—
336C2×C43—81no—
337C2×C43—161no—
338C2×C43—161no—
339C2×C43—161no—
340C2×C43#326511yescharacteristic
341C2×C43#327411yescharacteristic
342C2×C43#328811yescharacteristic
343C2×AGL(1,ℤ/8)—21no—
344C22×SD16—21no—
345#559C22×C4311yescharacteristic, complemented
346#550C22×C4311yescharacteristic
347D4×Q8C22×C4311yescharacteristic
348D42C22×C4311yescharacteristic
349#496—21no—
350#493C22×C4311yescharacteristic
351#493C22×C4311yescharacteristic
352#493C22×C4311yescharacteristic, complemented
353#492C22×C4311yescharacteristic
354#489—21no—
355#486C22×C4311yescharacteristic, complemented
356#486C22×C4311yescharacteristic, complemented
357#476—21no—
358#475C22×C4311yescharacteristic, complemented
359#469—21no—
360#465—21no—
361#463—21no—
362#463—21no—
363#461C22×C4311yescharacteristic
364#460C22×C4311yescharacteristic
365#460C22×C4311yescharacteristic
366#460C22×C4311yescharacteristic, complemented
367#459—21no—
368#459C22×C4311yescharacteristic
369#459C22×C4311yescharacteristic
370#459C22×C4311yescharacteristic
371#450—21no—
372#449—21no—
373#448—21no—
374#447—21no—
375#446C22×C4311yescharacteristic, complemented
376#446C22×C4311yescharacteristic, complemented
377#442—21no—
378#442—21no—
379C4×SD16C22×C4311yescharacteristic
380C4×SD16C22×C4311yescharacteristic
381#436C22×C4311yescharacteristic
382C8×D4C22×C4311yescharacteristic
383#335C22×C4311yescharacteristic, complemented
384#334C22×C4311yescharacteristic, complemented
385#332C22×C4311yescharacteristic, complemented
386#331C22×C4311yescharacteristic
387#331C22×C4311yescharacteristic, complemented
388#331C22×C4311yescharacteristic, complemented
389Q8⋊C8C22×C4311yescharacteristic, complemented
390Q8⋊C8C22×C4311yescharacteristic, complemented
391D4⋊C8C22×C4311yescharacteristic
392D4⋊C8C22×C4311yescharacteristic
393#322C22×C4311yescharacteristic, complemented
394C43#2019211yescharacteristic, direct product factor, Sylow
395C2×#41—21no—
396C22×Q8—21no—
397C22×D4—21no—
398C22×D4—21no—
399AGL(1,ℤ/8)—44no—
400C2×SD16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×SD16—44no—
407C2×SD16D4×C4311yescharacteristic
408C2×SD16D4×C4311yescharacteristic
409C2×D8—21no—
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—21no—
413C2×D8—21no—
414C2×D8—21no—
415C2×D8—21no—
416C2×D8—41no—
417C2×M16—21no—
418C22×C8—21no—
419C4⋊Q8—21no—
420C4⋊Q8C23×C4311yescharacteristic
421#127—21no—
422#127C23×C4311yescharacteristic
423#127C23×C4311yescharacteristic
424#127C23×C4311yescharacteristic
425#124—21no—
426#124—21no—
427#123—41no—
428C22⋊Q8—21no—
429C22⋊Q8—41no—
430#121—21no—
431#121—21no—
432#121—21no—
433#121—41no—
434#120—41no—
435C4×Q8C23×C4311yescharacteristic
436C4×Q8C23×C4311yescharacteristic
437C4×D4—21no—
438C4×D4—21no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4C23×C4311yescharacteristic
442C4×D4C23×C4311yescharacteristic
443#106—21no—
444#106D4×C4311yescharacteristic
445#106D4×C4311yescharacteristic
446C4⋊C8—21no—
447C4⋊C8—21no—
448C4⋊C8C23×C4311yescharacteristic
449C4⋊C8C23×C4311yescharacteristic
450C4⋊C8C23×C4311yescharacteristic
451C4⋊C8C23×C4311yescharacteristic
452#103—21no—
453#103—21no—
454#103D4×C4311yescharacteristic
455#103D4×C4311yescharacteristic
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
467C22⋊C8—21no—
468C22⋊C8—21no—
469#97—21no—
470#97—21no—
471C4×C8C23×C4311yescharacteristic
472C4×C8C23×C4311yescharacteristic
473C4×C8C23×C4311yescharacteristic
474C24—41no—
475#41—42no—
476#41—81no—
477C2×Q8—21no—
478C2×Q8—41no—
479C2×Q8—42no—
480C2×Q8—81no—
481C2×Q8C2×D4×C4311yescharacteristic
482C2×Q8C2×D4×C4311yescharacteristic
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—41no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C2×D4×C4311yescharacteristic
501C2×D4C2×D4×C4311yescharacteristic
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507SD16—22no—
508SD16—22no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—42no—
513SD16—81no—
514SD16—81no—
515D8—42no—
516D8—42no—
517D8—42no—
518D8—42no—
519D8—81no—
520D8—81no—
521D8—81no—
522D8—82no—
523M16—42no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—42no—
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—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C22⋊C4—41no—
551C42—21no—
552C42—21no—
553C42C24×C4311yescharacteristic
554C23—21no—
555C23—21no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—82no—
560C23—82no—
561C23—161no—
562Q8—21no—
563Q8—21no—
564Q8—21no—
565Q8—21no—
566Q8—41no—
567Q8—41no—
568Q8—82no—
569D4—21no—
570D4—21no—
571D4—21no—
572D4—41no—
573D4—41no—
574D4—41no—
575D4—41no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—81no—
585D4—81no—
586D4—81no—
587D4—82no—
588D4—82no—
589D4—82no—
590D4—161no—
591D4AGL(1,ℤ/8)×C4312yes—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—82no—
604C2×C4—82no—
605C2×C4—161no—
606C2×C4C22×D4×C4311yescharacteristic
607C2×C4C22×D4×C4311yescharacteristic
608C2×C4H(5,𝔽2)×C4311yescharacteristic
609C8—21no—
610C8—21no—
611C8—21no—
612C8—41no—
613C8—41no—
614C8—41no—
615C8—41no—
616C8—41no—
617C8AGL(1,ℤ/8)×C4312yescomplemented
618C22—22no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—164no—
634C22D42×C4311yescharacteristic
635C4—21no—
636C4—41no—
637C4—41no—
638C4—41no—
639C4—41no—
640C4—41no—
641C4—41no—
642C4—81no—
643C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
644C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
645C4C43×#57611yescharacteristic
646C4C43×#57711yescharacteristic
647C2—42no—
648C2—81no—
649C2—161no—
650C2—161no—
651C2—161no—
652C2C43×#326511yescharacteristic
653C2C43×#327411yescharacteristic
654C2C43×#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×#3373C2semidirect
3. D4×SD16×C43C2semidirect
4. C43×#3274C2semidirect
5. C43×#1721C2semidirect
6. C43×#1701C2semidirect
7. C43×#1688C2semidirect
8. C43×#1686C2semidirect
9. C43×#1667C2semidirect
10. C43×#1642C2semidirect
11. C43×#1627C2semidirect
12. C43×#1620C2semidirect
13. C43×#1619C2semidirect
14. C43×#1592C2semidirect
15. C43×#1582C2semidirect
18. C43×#559C22semidirect
25. C43×#493C22semidirect
28. C43×#486C22semidirect
29. C43×#486C22semidirect
31. C43×#475C22semidirect
39. C43×#460C22semidirect
48. C43×#446C22semidirect
49. C43×#446C22semidirect
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
289. C8×C43AGL(1,ℤ/8)semidirect
290. #20192C43direct (N × H)
320. #3399C2×C43semidirect
321. #3373C2×C43semidirect
322. D4×SD16C2×C43semidirect
323. #3274C2×C43semidirect
324. #1721C2×C43semidirect
325. #1701C2×C43semidirect
326. #1688C2×C43semidirect
327. #1686C2×C43semidirect
328. #1667C2×C43semidirect
329. #1642C2×C43semidirect
330. #1627C2×C43semidirect
331. #1620C2×C43semidirect
332. #1619C2×C43semidirect
333. #1592C2×C43semidirect
334. #1582C2×C43semidirect
345. #559C22×C43semidirect
352. #493C22×C43semidirect
355. #486C22×C43semidirect
356. #486C22×C43semidirect
358. #475C22×C43semidirect
366. #460C22×C43semidirect
375. #446C22×C43semidirect
376. #446C22×C43semidirect
383. #335C22×C43semidirect
384. #334C22×C43semidirect
385. #332C22×C43semidirect
387. #331C22×C43semidirect
388. #331C22×C43semidirect
389. Q8⋊C8C22×C43semidirect
390. Q8⋊C8C22×C43semidirect
393. #322C22×C43semidirect
394. C43#20192direct (N × H)
617. C8AGL(1,ℤ/8)×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#33992
C43×#33732
D4×SD16×C432
C43×#32742
C43×#17212
C43×#17012
C43×#16882
C43×#16862
C43×#16672
C43×#16422
C43×#16272
C43×#16202
C43×#16192
C43×#15922
C43×#15822
#2019243