Finite Group Databasebeta

← C43×#20202 #24940219

Subgroups — C43×#20202 #24940219

Order 11008.

730 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×#3392C211yesmaximal, characteristic, complemented
2C43×#3368C211yesmaximal, characteristic, complemented
3C43×#3274C211yesmaximal, characteristic, complemented
4C43×#3274C211yesmaximal, characteristic, complemented
5C43×#1721C211yesmaximal, characteristic, complemented
6C43×#1701C211yesmaximal, characteristic, complemented
7C43×#1688C211yesmaximal, characteristic, complemented
8C43×#1685C211yesmaximal, characteristic, complemented
9C43×#1668C211yesmaximal, characteristic, complemented
10C43×#1639C211yesmaximal, characteristic, complemented
11C43×#1626C211yesmaximal, characteristic, complemented
12C43×#1621C211yesmaximal, characteristic, complemented
13C43×#1621C211yesmaximal, characteristic, complemented
14C43×#1592C211yesmaximal, characteristic, complemented
15C43×#1583C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C2×AGL(1,ℤ/8)×C43—21no—
18C43×#557C2211yescharacteristic, complemented
19C43×#550C2211yescharacteristic
20C43×#550C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#493C2211yescharacteristic
23C43×#493C2211yescharacteristic
24C43×#493C2211yescharacteristic, complemented
25C43×#492—21no—
26C43×#492C2211yescharacteristic, complemented
27C43×#490—21no—
28C43×#486C2211yescharacteristic
29C43×#486C2211yescharacteristic, complemented
30C43×#478—21no—
31C43×#474C2211yescharacteristic
32C43×#469—21no—
33C43×#469—21no—
34C43×#461—21no—
35C43×#461C2211yescharacteristic
36C43×#460—21no—
37C43×#460—21no—
38C43×#460C2211yescharacteristic
39C43×#460C2211yescharacteristic
40C43×#460C2211yescharacteristic, complemented
41C43×#460C2211yescharacteristic, complemented
42C43×#459C2211yescharacteristic
43C43×#459C2211yescharacteristic
44C43×#449—21no—
45C43×#449—21no—
46C43×#447—21no—
47C43×#447—21no—
48C43×#446C2211yescharacteristic, complemented
49C8×Q8×C43C2211yescharacteristic, complemented
50C43×#440—21no—
51C4×SD16×C43—21no—
52C4×SD16×C43C2211yescharacteristic
53C4×SD16×C43C2211yescharacteristic
54C43×#436C2211yescharacteristic
55C43×#436C2211yescharacteristic
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—
68C2×#41×C43—21no—
69C22×D4×C43—21no—
70C22×D4×C43—21no—
71AGL(1,ℤ/8)×C43—44no—
72AGL(1,ℤ/8)×C43—44no—
73C2×SD16×C43—21no—
74C2×SD16×C43—21no—
75C2×SD16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43—21no—
78C2×SD16×C43—21no—
79C2×SD16×C43—21no—
80C2×SD16×C43D411yescharacteristic
81C2×SD16×C43D411yescharacteristic
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—
90C2×M16×C43—21no—
91C4⋊Q8×C43—21no—
92C4⋊Q8×C43C2311yescharacteristic
93#127×C43—21no—
94#127×C43—21no—
95#127×C43C2311yescharacteristic
96#127×C43C2311yescharacteristic
97#127×C43C2311yescharacteristic
98#125×C43—21no—
99#125×C43—41no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#121×C43—21no—
104#121×C43—41no—
105#121×C43—41no—
106#120×C43—41no—
107C4×Q8×C43—21no—
108C4×Q8×C43—21no—
109C4×Q8×C43C2311yescharacteristic
110C4×Q8×C43C2311yescharacteristic
111C4×D4×C43—21no—
112C4×D4×C43—21no—
113C4×D4×C43C2311yescharacteristic
114C4×D4×C43C2311yescharacteristic
115#107×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×C43D411yescharacteristic
126#103×C43D411yescharacteristic
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—21no—
136#102×C43—41no—
137#102×C43D411yescharacteristic
138#102×C43D411yescharacteristic
139C22⋊C8×C43—21no—
140C22⋊C8×C43—21no—
141#97×C43—21no—
142C4×C8×C43—21no—
143C4×C8×C43C2311yescharacteristic
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C24×C43—41no—
147#41×C43—42no—
148#41×C43—42no—
149#41×C43—81no—
150#41×C43—81no—
151C2×Q8×C43—21no—
152C2×Q8×C43C2×D411yescharacteristic
153C2×Q8×C43C2×D411yescharacteristic
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—21no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—41no—
164C2×D4×C43—41no—
165C2×D4×C43—41no—
166C2×D4×C43—41no—
167C2×D4×C43—41no—
168C2×D4×C43—41no—
169C2×D4×C43—42no—
170C2×D4×C43—42no—
171C2×D4×C43—81no—
172C2×D4×C43—81no—
173C2×D4×C43C2×D411yescharacteristic
174C2×D4×C43C2×D411yescharacteristic
175C22×C4×C43—21no—
176C22×C4×C43—21no—
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—
187SD16×C43—81no—
188D8×C43—42no—
189D8×C43—42no—
190D8×C43—42no—
191D8×C43—42no—
192D8×C43—81no—
193D8×C43—81no—
194D8×C43—82no—
195M16×C43—42no—
196M16×C43—42no—
197C2×C8×C43—21no—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
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×C43—41no—
212C4⋊C4×C43—41no—
213C4⋊C4×C43C2×D411yescharacteristic
214C4⋊C4×C43C2×D411yescharacteristic
215C4⋊C4×C43C2×D411yescharacteristic
216C4⋊C4×C43C2×D411yescharacteristic
217C22⋊C4×C43—21no—
218C22⋊C4×C43—21no—
219C22⋊C4×C43—41no—
220C22⋊C4×C43—41no—
221C22⋊C4×C43—41no—
222C42×C43—21no—
223C42×C43—21no—
224C42×C43—41no—
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—41no—
238Q8×C43—41no—
239Q8×C43AGL(1,ℤ/8)12yescomplemented
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—41no—
253D4×C43—41no—
254D4×C43—41no—
255D4×C43—41no—
256D4×C43—82no—
257D4×C43—81no—
258D4×C43—81no—
259D4×C43—81no—
260D4×C43—82no—
261D4×C43—82no—
262D4×C43—82no—
263D4×C43—161no—
264D4×C43—161no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—21no—
268C2×C4×C43—21no—
269C2×C4×C43—21no—
270C2×C4×C43—21no—
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×C43—82no—
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#20202C4311yesmaximal, characteristic, direct product factor, Sylow
291C22×C43—41no—
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—22no—
309C4×C43—21no—
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#3392C2×C4311yescharacteristic, complemented
321#3368C2×C4311yescharacteristic, complemented
322#3274C2×C4311yescharacteristic, complemented
323#3274C2×C4311yescharacteristic, complemented
324#1721C2×C4311yescharacteristic, complemented
325#1701C2×C4311yescharacteristic, complemented
326#1688C2×C4311yescharacteristic, complemented
327#1685C2×C4311yescharacteristic, complemented
328#1668C2×C4311yescharacteristic, complemented
329#1639C2×C4311yescharacteristic, complemented
330#1626C2×C4311yescharacteristic, complemented
331#1621C2×C4311yescharacteristic, complemented
332#1621C2×C4311yescharacteristic, complemented
333#1592C2×C4311yescharacteristic, complemented
334#1583C2×C4311yescharacteristic, complemented
335C2×C43—81no—
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—
344C2×AGL(1,ℤ/8)—21no—
345#557C22×C4311yescharacteristic, complemented
346#550C22×C4311yescharacteristic
347#550C22×C4311yescharacteristic
348D42C22×C4311yescharacteristic
349#493C22×C4311yescharacteristic
350#493C22×C4311yescharacteristic
351#493C22×C4311yescharacteristic, complemented
352#492—21no—
353#492C22×C4311yescharacteristic, complemented
354#490—21no—
355#486C22×C4311yescharacteristic
356#486C22×C4311yescharacteristic, complemented
357#478—21no—
358#474C22×C4311yescharacteristic
359#469—21no—
360#469—21no—
361#461—21no—
362#461C22×C4311yescharacteristic
363#460—21no—
364#460—21no—
365#460C22×C4311yescharacteristic
366#460C22×C4311yescharacteristic
367#460C22×C4311yescharacteristic, complemented
368#460C22×C4311yescharacteristic, complemented
369#459C22×C4311yescharacteristic
370#459C22×C4311yescharacteristic
371#449—21no—
372#449—21no—
373#447—21no—
374#447—21no—
375#446C22×C4311yescharacteristic, complemented
376C8×Q8C22×C4311yescharacteristic, complemented
377#440—21no—
378C4×SD16—21no—
379C4×SD16C22×C4311yescharacteristic
380C4×SD16C22×C4311yescharacteristic
381#436C22×C4311yescharacteristic
382#436C22×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#2020211yescharacteristic, direct product factor, Sylow
395C2×#41—21no—
396C2×#41—21no—
397C22×D4—21no—
398C22×D4—21no—
399AGL(1,ℤ/8)—44no—
400AGL(1,ℤ/8)—44no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×SD16—21no—
407C2×SD16—21no—
408C2×SD16D4×C4311yescharacteristic
409C2×SD16D4×C4311yescharacteristic
410C2×D8—21no—
411C2×D8—21no—
412C2×D8—21no—
413C2×D8—21no—
414C2×D8—21no—
415C2×D8—21no—
416C2×D8—41no—
417C2×M16—21no—
418C2×M16—21no—
419C4⋊Q8—21no—
420C4⋊Q8C23×C4311yescharacteristic
421#127—21no—
422#127—21no—
423#127C23×C4311yescharacteristic
424#127C23×C4311yescharacteristic
425#127C23×C4311yescharacteristic
426#125—21no—
427#125—41no—
428#121—21no—
429#121—21no—
430#121—21no—
431#121—21no—
432#121—41no—
433#121—41no—
434#120—41no—
435C4×Q8—21no—
436C4×Q8—21no—
437C4×Q8C23×C4311yescharacteristic
438C4×Q8C23×C4311yescharacteristic
439C4×D4—21no—
440C4×D4—21no—
441C4×D4C23×C4311yescharacteristic
442C4×D4C23×C4311yescharacteristic
443#107—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#103D4×C4311yescharacteristic
454#103D4×C4311yescharacteristic
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
467C22⋊C8—21no—
468C22⋊C8—21no—
469#97—21no—
470C4×C8—21no—
471C4×C8C23×C4311yescharacteristic
472C4×C8C23×C4311yescharacteristic
473C4×C8C23×C4311yescharacteristic
474C24—41no—
475#41—42no—
476#41—42no—
477#41—81no—
478#41—81no—
479C2×Q8—21no—
480C2×Q8C2×D4×C4311yescharacteristic
481C2×Q8C2×D4×C4311yescharacteristic
482C2×D4—21no—
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—41no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—41no—
496C2×D4—41no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—81no—
500C2×D4—81no—
501C2×D4C2×D4×C4311yescharacteristic
502C2×D4C2×D4×C4311yescharacteristic
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—41no—
506C22×C4—41no—
507SD16—22no—
508SD16—22no—
509SD16—42no—
510SD16—42no—
511SD16—42no—
512SD16—42no—
513SD16—81no—
514SD16—81no—
515SD16—81no—
516D8—42no—
517D8—42no—
518D8—42no—
519D8—42no—
520D8—81no—
521D8—81no—
522D8—82no—
523M16—42no—
524M16—42no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
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⋊C4—41no—
540C4⋊C4—41no—
541C4⋊C4C2×D4×C4311yescharacteristic
542C4⋊C4C2×D4×C4311yescharacteristic
543C4⋊C4C2×D4×C4311yescharacteristic
544C4⋊C4C2×D4×C4311yescharacteristic
545C22⋊C4—21no—
546C22⋊C4—21no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C22⋊C4—41no—
550C42—21no—
551C42—21no—
552C42—41no—
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—41no—
566Q8—41no—
567Q8AGL(1,ℤ/8)×C4312yescomplemented
568D4—21no—
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—82no—
585D4—81no—
586D4—81no—
587D4—81no—
588D4—82no—
589D4—82no—
590D4—82no—
591D4—161no—
592D4—161no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—82no—
605C2×C4—82no—
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—41no—
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—22no—
636C4—21no—
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—81no—
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×#3392C2semidirect
2. C43×#3368C2semidirect
3. C43×#3274C2semidirect
4. C43×#3274C2semidirect
5. C43×#1721C2semidirect
6. C43×#1701C2semidirect
7. C43×#1688C2semidirect
8. C43×#1685C2semidirect
9. C43×#1668C2semidirect
10. C43×#1639C2semidirect
11. C43×#1626C2semidirect
12. C43×#1621C2semidirect
13. C43×#1621C2semidirect
14. C43×#1592C2semidirect
15. C43×#1583C2semidirect
18. C43×#557C22semidirect
24. C43×#493C22semidirect
26. C43×#492C22semidirect
29. C43×#486C22semidirect
40. C43×#460C22semidirect
41. C43×#460C22semidirect
48. C43×#446C22semidirect
49. 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
239. Q8×C43AGL(1,ℤ/8)semidirect
289. C8×C43AGL(1,ℤ/8)semidirect
290. #20202C43direct (N × H)
320. #3392C2×C43semidirect
321. #3368C2×C43semidirect
322. #3274C2×C43semidirect
323. #3274C2×C43semidirect
324. #1721C2×C43semidirect
325. #1701C2×C43semidirect
326. #1688C2×C43semidirect
327. #1685C2×C43semidirect
328. #1668C2×C43semidirect
329. #1639C2×C43semidirect
330. #1626C2×C43semidirect
331. #1621C2×C43semidirect
332. #1621C2×C43semidirect
333. #1592C2×C43semidirect
334. #1583C2×C43semidirect
345. #557C22×C43semidirect
351. #493C22×C43semidirect
353. #492C22×C43semidirect
356. #486C22×C43semidirect
367. #460C22×C43semidirect
368. #460C22×C43semidirect
375. #446C22×C43semidirect
376. C8×Q8C22×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#20202direct (N × H)
567. Q8AGL(1,ℤ/8)×C43semidirect
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×#33922
C43×#33682
C43×#32742
C43×#17212
C43×#17012
C43×#16882
C43×#16852
C43×#16682
C43×#16392
C43×#16262
C43×#16212
C43×#15922
C43×#15832
#2020243