Finite Group Databasebeta

← C43×#19755 #24939772

Subgroups — C43×#19755 #24939772

Order 11008.

842 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3294C211yesmaximal, characteristic, complemented
2D4×D8×C43C211yesmaximal, characteristic, complemented
3D4×D8×C43C211yesmaximal, characteristic, complemented
4C43×#3272C211yesmaximal, characteristic, complemented
5C43×#1721C211yesmaximal, characteristic, complemented
6C43×#1687C211yesmaximal, characteristic, complemented
7C43×#1681C211yesmaximal, characteristic, complemented
8C43×#1667C211yesmaximal, characteristic, complemented
9C43×#1665C211yesmaximal, characteristic, complemented
10C43×#1639C211yesmaximal, characteristic, complemented
11C43×#1625C211yesmaximal, characteristic, complemented
12C43×#1619C211yesmaximal, characteristic, complemented
13C43×#1619C211yesmaximal, characteristic, complemented
14C43×#1581C211yesmaximal, characteristic, complemented
15C43×#1580C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C22×D8×C43—21no—
18C22×D8×C43—21no—
19C43×#547C2211yescharacteristic, complemented
20D42×C43C2211yescharacteristic
21D42×C43C2211yescharacteristic, complemented
22D42×C43C2211yescharacteristic, complemented
23C43×#493C2211yescharacteristic, complemented
24C43×#493C2211yescharacteristic, complemented
25C43×#493C2211yescharacteristic, complemented
26C43×#492C2211yescharacteristic, complemented
27C43×#486C2211yescharacteristic, complemented
28C43×#486C2211yescharacteristic, complemented
29C43×#480—21no—
30C43×#474C2211yescharacteristic, complemented
31C43×#468—21no—
32C43×#466—21no—
33C43×#466—21no—
34C43×#466—21no—
35C43×#461C2211yescharacteristic, complemented
36C43×#459C2211yescharacteristic
37C43×#459C2211yescharacteristic
38C43×#459C2211yescharacteristic, complemented
39C43×#459C2211yescharacteristic, complemented
40C43×#459C2211yescharacteristic, complemented
41C43×#459C2211yescharacteristic, complemented
42C43×#450—21no—
43C43×#449—21no—
44C43×#447—21no—
45C43×#447—21no—
46C43×#447—21no—
47C43×#447—21no—
48C43×#447—21no—
49C4×D8×C43C2211yescharacteristic
50C4×D8×C43C2211yescharacteristic
51C43×#436C2211yescharacteristic, complemented
52C8×D4×C43C2211yescharacteristic, complemented
53C8×D4×C43C2211yescharacteristic, complemented
54C8×D4×C43C2211yescharacteristic, complemented
55C2×#102×C43—21no—
56C43×#335C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#332C2211yescharacteristic, complemented
59C43×#331C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic, complemented
61C43×#331C2211yescharacteristic, complemented
62C43×D4⋊C8C2211yescharacteristic, complemented
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—
72C22×D4×C43—21no—
73C22×D4×C43—21no—
74AGL(1,ℤ/8)×C43—44no—
75C2×SD16×C43—21no—
76C2×SD16×C43—21no—
77C2×SD16×C43—21no—
78C2×D8×C43—21no—
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—21no—
87C2×D8×C43—21no—
88C2×D8×C43—41no—
89C2×D8×C43—44no—
90C2×D8×C43—44no—
91C2×D8×C43D411yescharacteristic
92C2×D8×C43D411yescharacteristic
93C2×M16×C43—21no—
94C22×C8×C43—21no—
95C22×C8×C43—21no—
96C22×C8×C43—21no—
97C4⋊Q8×C43C2311yescharacteristic
98#127×C43C2311yescharacteristic
99#127×C43C2311yescharacteristic
100#127×C43C2311yescharacteristic
101#123×C43—41no—
102C22⋊Q8×C43—21no—
103#121×C43—21no—
104#121×C43—21no—
105#121×C43—21no—
106#121×C43—21no—
107#121×C43—21no—
108#121×C43—21no—
109#121×C43—21no—
110#120×C43—41no—
111#120×C43—41no—
112#120×C43—41no—
113C4×D4×C43C2311yescharacteristic
114C4×D4×C43C2311yescharacteristic
115C4×D4×C43C2311yescharacteristic
116C4×D4×C43C2311yescharacteristic
117C2×C4⋊C4×C43—21no—
118#107×C43—21no—
119#107×C43D411yescharacteristic
120#107×C43D411yescharacteristic
121C4⋊C8×C43C2311yescharacteristic
122C4⋊C8×C43C2311yescharacteristic
123C4⋊C8×C43C2311yescharacteristic
124C4⋊C8×C43C2311yescharacteristic
125#103×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—21no—
134#102×C43—21no—
135#102×C43—41no—
136#102×C43D411yescharacteristic
137#102×C43D411yescharacteristic
138#102×C43D411yescharacteristic
139#102×C43D411yescharacteristic
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142C22⋊C8×C43—21no—
143C22⋊C8×C43—21no—
144C4×C8×C43C2311yescharacteristic
145C4×C8×C43C2311yescharacteristic
146C4×C8×C43C2311yescharacteristic
147C24×C43—41no—
148C24×C43—41no—
149C24×C43—41no—
150#41×C43—42no—
151#41×C43—81no—
152C2×Q8×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—21no—
161C2×D4×C43—21no—
162C2×D4×C43—41no—
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—42no—
172C2×D4×C43—42no—
173C2×D4×C43—42no—
174C2×D4×C43—42no—
175C2×D4×C43—81no—
176C2×D4×C43—81no—
177C2×D4×C43—81no—
178C2×D4×C43—81no—
179C2×D4×C43—81no—
180C2×D4×C43—81no—
181C2×D4×C43C2×D411yescharacteristic
182C2×D4×C43C2×D411yescharacteristic
183C2×D4×C43C2×D411yescharacteristic
184C2×D4×C43C2×D411yescharacteristic
185C22×C4×C43—21no—
186C22×C4×C43—21no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—41no—
190SD16×C43—42no—
191SD16×C43—42no—
192SD16×C43—81no—
193D8×C43—22no—
194D8×C43—42no—
195D8×C43—42no—
196D8×C43—42no—
197D8×C43—42no—
198D8×C43—42no—
199D8×C43—42no—
200D8×C43—42no—
201D8×C43—81no—
202D8×C43—81no—
203D8×C43—81no—
204D8×C43—82no—
205D8×C43D814yescomplemented
206M16×C43—42no—
207C2×C8×C43—21no—
208C2×C8×C43—21no—
209C2×C8×C43—21no—
210C2×C8×C43—21no—
211C2×C8×C43—21no—
212C2×C8×C43—42no—
213C2×C8×C43—42no—
214C2×C8×C43—81no—
215C2×C8×C43C2×D411yescharacteristic
216C2×C8×C43C2×D411yescharacteristic
217C2×C8×C43C2×D411yescharacteristic
218C2×C8×C43C2×D411yescharacteristic
219C4⋊C4×C43—21no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—41no—
222C4⋊C4×C43C2×D411yescharacteristic
223C4⋊C4×C43C2×D411yescharacteristic
224C4⋊C4×C43C2×D411yescharacteristic
225C4⋊C4×C43C2×D411yescharacteristic
226C22⋊C4×C43—21no—
227C22⋊C4×C43—21no—
228C22⋊C4×C43—21no—
229C22⋊C4×C43—21no—
230C22⋊C4×C43—41no—
231C22⋊C4×C43—41no—
232C22⋊C4×C43—41no—
233C22⋊C4×C43—41no—
234C42×C43C2411yescharacteristic
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—41no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—82no—
243C23×C43—82no—
244C23×C43—82no—
245C23×C43—82no—
246C23×C43—82no—
247C23×C43—82no—
248C23×C43—161no—
249C23×C43—161no—
250C23×C43—161no—
251Q8×C43—41no—
252Q8×C43—41no—
253D4×C43—21no—
254D4×C43—21no—
255D4×C43—21no—
256D4×C43—21no—
257D4×C43—21no—
258D4×C43—41no—
259D4×C43—41no—
260D4×C43—41no—
261D4×C43—41no—
262D4×C43—41no—
263D4×C43—41no—
264D4×C43—41no—
265D4×C43—41no—
266D4×C43—41no—
267D4×C43—41no—
268D4×C43—41no—
269D4×C43—41no—
270D4×C43—81no—
271D4×C43—81no—
272D4×C43—81no—
273D4×C43—82no—
274D4×C43—82no—
275D4×C43—82no—
276D4×C43—82no—
277D4×C43—82no—
278D4×C43—82no—
279D4×C43—82no—
280D4×C43C2×D812yes—
281D4×C43C2×D812yescomplemented
282D4×C43AGL(1,ℤ/8)12yescomplemented
283C2×C4×C43—21no—
284C2×C4×C43—21no—
285C2×C4×C43—21no—
286C2×C4×C43—21no—
287C2×C4×C43—41no—
288C2×C4×C43—41no—
289C2×C4×C43—41no—
290C2×C4×C43—41no—
291C2×C4×C43—41no—
292C2×C4×C43—41no—
293C2×C4×C43—41no—
294C2×C4×C43—41no—
295C2×C4×C43—41no—
296C2×C4×C43—82no—
297C2×C4×C43C22×D411yescharacteristic
298C2×C4×C43C22×D411yescharacteristic
299C2×C4×C43H(5,𝔽2)11yescharacteristic
300C8×C43—21no—
301C8×C43—21no—
302C8×C43—21no—
303C8×C43—41no—
304C8×C43—41no—
305C8×C43—41no—
306C8×C43—41no—
307C8×C43—41no—
308C8×C43C2×D812yescomplemented
309#19755C4311yesmaximal, characteristic, direct product factor, Sylow
310C22×C43—22no—
311C22×C43—22no—
312C22×C43—22no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—81no—
323C22×C43—81no—
324C22×C43—81no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—164no—
332C22×C43—164no—
333C22×C43—164no—
334C22×C43D4211yescharacteristic
335C4×C43—21no—
336C4×C43—41no—
337C4×C43—41no—
338C4×C43—41no—
339C4×C43—41no—
340C4×C43—81no—
341C4×C43C22×D811yescharacteristic
342C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
343C4×C43#57611yescharacteristic
344C4×C43#57611yescharacteristic
345#3294C2×C4311yescharacteristic, complemented
346D4×D8C2×C4311yescharacteristic, complemented
347D4×D8C2×C4311yescharacteristic, complemented
348#3272C2×C4311yescharacteristic, complemented
349#1721C2×C4311yescharacteristic, complemented
350#1687C2×C4311yescharacteristic, complemented
351#1681C2×C4311yescharacteristic, complemented
352#1667C2×C4311yescharacteristic, complemented
353#1665C2×C4311yescharacteristic, complemented
354#1639C2×C4311yescharacteristic, complemented
355#1625C2×C4311yescharacteristic, complemented
356#1619C2×C4311yescharacteristic, complemented
357#1619C2×C4311yescharacteristic, complemented
358#1581C2×C4311yescharacteristic, complemented
359#1580C2×C4311yescharacteristic, complemented
360C2×C43—42no—
361C2×C43—42no—
362C2×C43—42no—
363C2×C43—81no—
364C2×C43—161no—
365C2×C43—161no—
366C2×C43—161no—
367C2×C43#326411yescharacteristic
368C2×C43D4×D811yescharacteristic
369C2×C43#328811yescharacteristic
370C2×AGL(1,ℤ/8)—21no—
371C22×D8—21no—
372C22×D8—21no—
373#547C22×C4311yescharacteristic, complemented
374D42C22×C4311yescharacteristic
375D42C22×C4311yescharacteristic, complemented
376D42C22×C4311yescharacteristic, complemented
377#493C22×C4311yescharacteristic, complemented
378#493C22×C4311yescharacteristic, complemented
379#493C22×C4311yescharacteristic, complemented
380#492C22×C4311yescharacteristic, complemented
381#486C22×C4311yescharacteristic, complemented
382#486C22×C4311yescharacteristic, complemented
383#480—21no—
384#474C22×C4311yescharacteristic, complemented
385#468—21no—
386#466—21no—
387#466—21no—
388#466—21no—
389#461C22×C4311yescharacteristic, complemented
390#459C22×C4311yescharacteristic
391#459C22×C4311yescharacteristic
392#459C22×C4311yescharacteristic, complemented
393#459C22×C4311yescharacteristic, complemented
394#459C22×C4311yescharacteristic, complemented
395#459C22×C4311yescharacteristic, complemented
396#450—21no—
397#449—21no—
398#447—21no—
399#447—21no—
400#447—21no—
401#447—21no—
402#447—21no—
403C4×D8C22×C4311yescharacteristic
404C4×D8C22×C4311yescharacteristic
405#436C22×C4311yescharacteristic, complemented
406C8×D4C22×C4311yescharacteristic, complemented
407C8×D4C22×C4311yescharacteristic, complemented
408C8×D4C22×C4311yescharacteristic, complemented
409C2×#102—21no—
410#335C22×C4311yescharacteristic, complemented
411#334C22×C4311yescharacteristic, complemented
412#332C22×C4311yescharacteristic, complemented
413#331C22×C4311yescharacteristic, complemented
414#331C22×C4311yescharacteristic, complemented
415#331C22×C4311yescharacteristic, complemented
416D4⋊C8C22×C4311yescharacteristic, complemented
417D4⋊C8C22×C4311yescharacteristic, complemented
418D4⋊C8C22×C4311yescharacteristic, complemented
419D4⋊C8C22×C4311yescharacteristic, complemented
420#322C22×C4311yescharacteristic, complemented
421C43#1975511yescharacteristic, direct product factor, Sylow
422C2×#41—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—21no—
427C22×D4—21no—
428C22×D4—21no—
429AGL(1,ℤ/8)—44no—
430C2×SD16—21no—
431C2×SD16—21no—
432C2×SD16—21no—
433C2×D8—21no—
434C2×D8—21no—
435C2×D8—21no—
436C2×D8—21no—
437C2×D8—21no—
438C2×D8—21no—
439C2×D8—21no—
440C2×D8—21no—
441C2×D8—21no—
442C2×D8—21no—
443C2×D8—41no—
444C2×D8—44no—
445C2×D8—44no—
446C2×D8D4×C4311yescharacteristic
447C2×D8D4×C4311yescharacteristic
448C2×M16—21no—
449C22×C8—21no—
450C22×C8—21no—
451C22×C8—21no—
452C4⋊Q8C23×C4311yescharacteristic
453#127C23×C4311yescharacteristic
454#127C23×C4311yescharacteristic
455#127C23×C4311yescharacteristic
456#123—41no—
457C22⋊Q8—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#120—41no—
466#120—41no—
467#120—41no—
468C4×D4C23×C4311yescharacteristic
469C4×D4C23×C4311yescharacteristic
470C4×D4C23×C4311yescharacteristic
471C4×D4C23×C4311yescharacteristic
472C2×C4⋊C4—21no—
473#107—21no—
474#107D4×C4311yescharacteristic
475#107D4×C4311yescharacteristic
476C4⋊C8C23×C4311yescharacteristic
477C4⋊C8C23×C4311yescharacteristic
478C4⋊C8C23×C4311yescharacteristic
479C4⋊C8C23×C4311yescharacteristic
480#103—21no—
481#102—21no—
482#102—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—41no—
491#102D4×C4311yescharacteristic
492#102D4×C4311yescharacteristic
493#102D4×C4311yescharacteristic
494#102D4×C4311yescharacteristic
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C4×C8C23×C4311yescharacteristic
500C4×C8C23×C4311yescharacteristic
501C4×C8C23×C4311yescharacteristic
502C24—41no—
503C24—41no—
504C24—41no—
505#41—42no—
506#41—81no—
507C2×Q8—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—41no—
520C2×D4—41no—
521C2×D4—41no—
522C2×D4—41no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4—42no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4—41no—
530C2×D4—81no—
531C2×D4—81no—
532C2×D4—81no—
533C2×D4—81no—
534C2×D4—81no—
535C2×D4—81no—
536C2×D4C2×D4×C4311yescharacteristic
537C2×D4C2×D4×C4311yescharacteristic
538C2×D4C2×D4×C4311yescharacteristic
539C2×D4C2×D4×C4311yescharacteristic
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—41no—
545SD16—42no—
546SD16—42no—
547SD16—81no—
548D8—22no—
549D8—42no—
550D8—42no—
551D8—42no—
552D8—42no—
553D8—42no—
554D8—42no—
555D8—42no—
556D8—81no—
557D8—81no—
558D8—81no—
559D8—82no—
560D8D8×C4314yescomplemented
561M16—42no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—81no—
570C2×C8C2×D4×C4311yescharacteristic
571C2×C8C2×D4×C4311yescharacteristic
572C2×C8C2×D4×C4311yescharacteristic
573C2×C8C2×D4×C4311yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—41no—
577C4⋊C4C2×D4×C4311yescharacteristic
578C4⋊C4C2×D4×C4311yescharacteristic
579C4⋊C4C2×D4×C4311yescharacteristic
580C4⋊C4C2×D4×C4311yescharacteristic
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42C24×C4311yescharacteristic
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—82no—
598C23—82no—
599C23—82no—
600C23—82no—
601C23—82no—
602C23—82no—
603C23—161no—
604C23—161no—
605C23—161no—
606Q8—41no—
607Q8—41no—
608D4—21no—
609D4—21no—
610D4—21no—
611D4—21no—
612D4—21no—
613D4—41no—
614D4—41no—
615D4—41no—
616D4—41no—
617D4—41no—
618D4—41no—
619D4—41no—
620D4—41no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—81no—
626D4—81no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—82no—
633D4—82no—
634D4—82no—
635D4C2×D8×C4312yes—
636D4C2×D8×C4312yescomplemented
637D4AGL(1,ℤ/8)×C4312yescomplemented
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—82no—
652C2×C4C22×D4×C4311yescharacteristic
653C2×C4C22×D4×C4311yescharacteristic
654C2×C4H(5,𝔽2)×C4311yescharacteristic
655C8—21no—
656C8—21no—
657C8—21no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—41no—
662C8—41no—
663C8C2×D8×C4312yescomplemented
664C22—22no—
665C22—22no—
666C22—22no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—81no—
677C22—81no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—164no—
686C22—164no—
687C22—164no—
688C22D42×C4311yescharacteristic
689C4—21no—
690C4—41no—
691C4—41no—
692C4—41no—
693C4—41no—
694C4—81no—
695C4C22×D8×C4311yescharacteristic
696C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
697C4C43×#57611yescharacteristic
698C4C43×#57611yescharacteristic
699C2—42no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—161no—
704C2—161no—
705C2—161no—
706C2C43×#326411yescharacteristic
707C2D4×D8×C4311yescharacteristic
708C2C43×#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×#3294C2semidirect
2. D4×D8×C43C2semidirect
3. D4×D8×C43C2semidirect
4. C43×#3272C2semidirect
5. C43×#1721C2semidirect
6. C43×#1687C2semidirect
7. C43×#1681C2semidirect
8. C43×#1667C2semidirect
9. C43×#1665C2semidirect
10. C43×#1639C2semidirect
11. C43×#1625C2semidirect
12. C43×#1619C2semidirect
13. C43×#1619C2semidirect
14. C43×#1581C2semidirect
15. C43×#1580C2semidirect
19. C43×#547C22semidirect
21. D42×C43C22semidirect
22. D42×C43C22semidirect
23. C43×#493C22semidirect
24. C43×#493C22semidirect
25. C43×#493C22semidirect
26. C43×#492C22semidirect
27. C43×#486C22semidirect
28. C43×#486C22semidirect
30. C43×#474C22semidirect
35. C43×#461C22semidirect
38. C43×#459C22semidirect
39. C43×#459C22semidirect
40. C43×#459C22semidirect
41. C43×#459C22semidirect
51. C43×#436C22semidirect
52. C8×D4×C43C22semidirect
53. C8×D4×C43C22semidirect
54. C8×D4×C43C22semidirect
56. C43×#335C22semidirect
57. C43×#334C22semidirect
58. C43×#332C22semidirect
59. C43×#331C22semidirect
60. C43×#331C22semidirect
61. C43×#331C22semidirect
62. C43×D4⋊C8C22semidirect
63. C43×D4⋊C8C22semidirect
64. C43×D4⋊C8C22semidirect
65. C43×D4⋊C8C22semidirect
66. C43×#322C22semidirect
205. D8×C43D8semidirect
281. D4×C43C2×D8semidirect
282. D4×C43AGL(1,ℤ/8)semidirect
308. C8×C43C2×D8semidirect
309. #19755C43direct (N × H)
345. #3294C2×C43semidirect
346. D4×D8C2×C43semidirect
347. D4×D8C2×C43semidirect
348. #3272C2×C43semidirect
349. #1721C2×C43semidirect
350. #1687C2×C43semidirect
351. #1681C2×C43semidirect
352. #1667C2×C43semidirect
353. #1665C2×C43semidirect
354. #1639C2×C43semidirect
355. #1625C2×C43semidirect
356. #1619C2×C43semidirect
357. #1619C2×C43semidirect
358. #1581C2×C43semidirect
359. #1580C2×C43semidirect
373. #547C22×C43semidirect
375. D42C22×C43semidirect
376. D42C22×C43semidirect
377. #493C22×C43semidirect
378. #493C22×C43semidirect
379. #493C22×C43semidirect
380. #492C22×C43semidirect
381. #486C22×C43semidirect
382. #486C22×C43semidirect
384. #474C22×C43semidirect
389. #461C22×C43semidirect
392. #459C22×C43semidirect
393. #459C22×C43semidirect
394. #459C22×C43semidirect
395. #459C22×C43semidirect
405. #436C22×C43semidirect
406. C8×D4C22×C43semidirect
407. C8×D4C22×C43semidirect
408. C8×D4C22×C43semidirect
410. #335C22×C43semidirect
411. #334C22×C43semidirect
412. #332C22×C43semidirect
413. #331C22×C43semidirect
414. #331C22×C43semidirect
415. #331C22×C43semidirect
416. D4⋊C8C22×C43semidirect
417. D4⋊C8C22×C43semidirect
418. D4⋊C8C22×C43semidirect
419. D4⋊C8C22×C43semidirect
420. #322C22×C43semidirect
421. C43#19755direct (N × H)
560. D8D8×C43semidirect
636. D4C2×D8×C43semidirect
637. D4AGL(1,ℤ/8)×C43semidirect
663. C8C2×D8×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#32942
D4×D8×C432
C43×#32722
C43×#17212
C43×#16872
C43×#16812
C43×#16672
C43×#16652
C43×#16392
C43×#16252
C43×#16192
C43×#15812
C43×#15802
#1975543