Finite Group Databasebeta

← C43×#19804 #24939821

Subgroups — C43×#19804 #24939821

Order 11008.

720 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×SD16×C43C211yesmaximal, characteristic, complemented
2C43×#3362C211yesmaximal, characteristic, complemented
3D4×SD16×C43C211yesmaximal, characteristic, complemented
4C43×#3274C211yesmaximal, characteristic
5C43×#1715C211yesmaximal, characteristic, complemented
6C43×#1691C211yesmaximal, characteristic, complemented
7C43×#1677C211yesmaximal, characteristic, complemented
8C43×#1668C211yesmaximal, characteristic, complemented
9C43×#1666C211yesmaximal, characteristic, complemented
10C43×#1642C211yesmaximal, characteristic, complemented
11C43×#1629C211yesmaximal, characteristic, complemented
12C43×#1627C211yesmaximal, characteristic, complemented
13C43×#1623C211yesmaximal, characteristic, complemented
14C43×#1583C211yesmaximal, characteristic, complemented
15C43×SD16⋊C8C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C43—21no—
17C22×SD16×C43—21no—
18Q82×C43C2211yescharacteristic, complemented
19C43×#550C2211yescharacteristic
20D4×Q8×C43C2211yescharacteristic
21D42×C43C2211yescharacteristic
22C43×#498—21no—
23C43×#498C2211yescharacteristic, complemented
24C43×#493C2211yescharacteristic
25C43×#492C2211yescharacteristic
26C43×#492C2211yescharacteristic
27C43×#486—21no—
28C43×#486C2211yescharacteristic, complemented
29C43×#486C2211yescharacteristic, complemented
30C43×#476—21no—
31C43×#476—21no—
32C43×#476C2211yescharacteristic
33C43×#476C2211yescharacteristic
34C43×#475—21no—
35C43×#475C2211yescharacteristic, complemented
36C43×#469—21no—
37C43×#465—21no—
38C43×#461C2211yescharacteristic
39C43×#460—21no—
40C43×#460C2211yescharacteristic
41C43×#460C2211yescharacteristic
42C43×#460C2211yescharacteristic, complemented
43C43×#459C2211yescharacteristic
44C43×#450—21no—
45C43×#449—21no—
46C43×#448—21no—
47C43×#447—21no—
48C8×Q8×C43C2211yescharacteristic, complemented
49C8×Q8×C43C2211yescharacteristic, complemented
50C4×SD16×C43—21no—
51C4×SD16×C43—21no—
52C4×SD16×C43C2211yescharacteristic
53C4×SD16×C43C2211yescharacteristic
54C43×#436C2211yescharacteristic
55C8×D4×C43C2211yescharacteristic
56C43×#335C2211yescharacteristic, complemented
57C43×#334C2211yescharacteristic, complemented
58C43×#333C2211yescharacteristic, complemented
59C43×#332C2211yescharacteristic, complemented
60C43×#331C2211yescharacteristic
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—41no—
79C2×SD16×C43—44no—
80C2×SD16×C43D411yescharacteristic
81C2×SD16×C43D411yescharacteristic
82C2×D8×C43—21no—
83C2×D8×C43—21no—
84C2×D8×C43—21no—
85C2×M16×C43—21no—
86C22×C8×C43—21no—
87C4⋊Q8×C43—21no—
88C4⋊Q8×C43—21no—
89C4⋊Q8×C43—21no—
90C4⋊Q8×C43—41no—
91C4⋊Q8×C43C2311yescharacteristic
92C4⋊Q8×C43C2311yescharacteristic
93#127×C43—21no—
94#127×C43C2311yescharacteristic
95#127×C43C2311yescharacteristic
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—41no—
98#121×C43—21no—
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—41no—
102#120×C43—41no—
103C4×Q8×C43—21no—
104C4×Q8×C43—21no—
105C4×Q8×C43C2311yescharacteristic
106C4×Q8×C43C2311yescharacteristic
107C4×D4×C43—21no—
108C4×D4×C43—21no—
109C4×D4×C43C2311yescharacteristic
110C4×D4×C43C2311yescharacteristic
111#106×C43—21no—
112#106×C43—21no—
113#106×C43—21no—
114#106×C43—21no—
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—
141C4×C8×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—81no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—41no—
152C2×Q8×C43—41no—
153C2×Q8×C43—42no—
154C2×Q8×C43—81no—
155C2×Q8×C43C2×D411yescharacteristic
156C2×Q8×C43C2×D411yescharacteristic
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—42no—
168C2×D4×C43—42no—
169C2×D4×C43—81no—
170C2×D4×C43—81no—
171C2×D4×C43C2×D411yescharacteristic
172C2×D4×C43C2×D411yescharacteristic
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43—41no—
176C22×C4×C43—41no—
177SD16×C43—22no—
178SD16×C43—42no—
179SD16×C43—42no—
180SD16×C43—42no—
181SD16×C43—42no—
182SD16×C43—42no—
183SD16×C43—81no—
184SD16×C43—82no—
185SD16×C43SD1614yescomplemented
186D8×C43—42no—
187D8×C43—42no—
188D8×C43—81no—
189M16×C43—42no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—42no—
196C2×C8×C43C2×D411yescharacteristic
197C2×C8×C43C2×D411yescharacteristic
198C2×C8×C43C2×D411yescharacteristic
199C2×C8×C43C2×D411yescharacteristic
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43—21no—
204C4⋊C4×C43—21no—
205C4⋊C4×C43—21no—
206C4⋊C4×C43—41no—
207C4⋊C4×C43—41no—
208C4⋊C4×C43—41no—
209C4⋊C4×C43C2×D411yescharacteristic
210C4⋊C4×C43C2×D411yescharacteristic
211C4⋊C4×C43C2×D411yescharacteristic
212C4⋊C4×C43C2×D411yescharacteristic
213C22⋊C4×C43—21no—
214C22⋊C4×C43—21no—
215C22⋊C4×C43—41no—
216C22⋊C4×C43—41no—
217C22⋊C4×C43—41no—
218C42×C43—21no—
219C42×C43—21no—
220C42×C43—41no—
221C42×C43C2411yescharacteristic
222C23×C43—21no—
223C23×C43—21no—
224C23×C43—41no—
225C23×C43—41no—
226C23×C43—82no—
227C23×C43—82no—
228C23×C43—161no—
229Q8×C43—21no—
230Q8×C43—21no—
231Q8×C43—41no—
232Q8×C43—41no—
233Q8×C43—82no—
234Q8×C43—81no—
235Q8×C43—161no—
236Q8×C43C2×SD1612yescomplemented
237Q8×C43AGL(1,ℤ/8)12yescomplemented
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—82no—
250D4×C43—81no—
251D4×C43—81no—
252D4×C43—82no—
253D4×C43—82no—
254D4×C43—161no—
255D4×C43C2×SD1612yes—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—82no—
269C2×C4×C43—82no—
270C2×C4×C43C22×D411yescharacteristic
271C2×C4×C43C22×D411yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C8×C43—21no—
274C8×C43—21no—
275C8×C43—21no—
276C8×C43—41no—
277C8×C43—41no—
278C8×C43—41no—
279C8×C43—41no—
280C8×C43—41no—
281C8×C43C2×SD1612yescomplemented
282#19804C4311yesmaximal, characteristic, direct product factor, Sylow
283C22×C43—22no—
284C22×C43—41no—
285C22×C43—41no—
286C22×C43—41no—
287C22×C43—41no—
288C22×C43—41no—
289C22×C43—81no—
290C22×C43—81no—
291C22×C43—81no—
292C22×C43—81no—
293C22×C43—81no—
294C22×C43—81no—
295C22×C43—164no—
296C22×C43D4211yescharacteristic
297C4×C43—22no—
298C4×C43—22no—
299C4×C43—21no—
300C4×C43—41no—
301C4×C43—41no—
302C4×C43—41no—
303C4×C43—41no—
304C4×C43—81no—
305C4×C43—81no—
306C4×C43C22×SD1611yescharacteristic
307C4×C43C2×AGL(1,ℤ/8)11yescharacteristic
308C4×C43#57711yescharacteristic
309C4×C43#57711yescharacteristic
310Q8×SD16C2×C4311yescharacteristic, complemented
311#3362C2×C4311yescharacteristic, complemented
312D4×SD16C2×C4311yescharacteristic, complemented
313#3274C2×C4311yescharacteristic
314#1715C2×C4311yescharacteristic, complemented
315#1691C2×C4311yescharacteristic, complemented
316#1677C2×C4311yescharacteristic, complemented
317#1668C2×C4311yescharacteristic, complemented
318#1666C2×C4311yescharacteristic, complemented
319#1642C2×C4311yescharacteristic, complemented
320#1629C2×C4311yescharacteristic, complemented
321#1627C2×C4311yescharacteristic, complemented
322#1623C2×C4311yescharacteristic, complemented
323#1583C2×C4311yescharacteristic, complemented
324SD16⋊C8C2×C4311yescharacteristic, complemented
325C2×C43—42no—
326C2×C43—81no—
327C2×C43—161no—
328C2×C43—161no—
329C2×C43#326511yescharacteristic
330C2×C43D4×SD1611yescharacteristic
331C2×C43#328811yescharacteristic
332C2×AGL(1,ℤ/8)—21no—
333C22×SD16—21no—
334Q82C22×C4311yescharacteristic, complemented
335#550C22×C4311yescharacteristic
336D4×Q8C22×C4311yescharacteristic
337D42C22×C4311yescharacteristic
338#498—21no—
339#498C22×C4311yescharacteristic, complemented
340#493C22×C4311yescharacteristic
341#492C22×C4311yescharacteristic
342#492C22×C4311yescharacteristic
343#486—21no—
344#486C22×C4311yescharacteristic, complemented
345#486C22×C4311yescharacteristic, complemented
346#476—21no—
347#476—21no—
348#476C22×C4311yescharacteristic
349#476C22×C4311yescharacteristic
350#475—21no—
351#475C22×C4311yescharacteristic, complemented
352#469—21no—
353#465—21no—
354#461C22×C4311yescharacteristic
355#460—21no—
356#460C22×C4311yescharacteristic
357#460C22×C4311yescharacteristic
358#460C22×C4311yescharacteristic, complemented
359#459C22×C4311yescharacteristic
360#450—21no—
361#449—21no—
362#448—21no—
363#447—21no—
364C8×Q8C22×C4311yescharacteristic, complemented
365C8×Q8C22×C4311yescharacteristic, complemented
366C4×SD16—21no—
367C4×SD16—21no—
368C4×SD16C22×C4311yescharacteristic
369C4×SD16C22×C4311yescharacteristic
370#436C22×C4311yescharacteristic
371C8×D4C22×C4311yescharacteristic
372#335C22×C4311yescharacteristic, complemented
373#334C22×C4311yescharacteristic, complemented
374#333C22×C4311yescharacteristic, complemented
375#332C22×C4311yescharacteristic, complemented
376#331C22×C4311yescharacteristic
377#331C22×C4311yescharacteristic, complemented
378Q8⋊C8C22×C4311yescharacteristic, complemented
379Q8⋊C8C22×C4311yescharacteristic, complemented
380D4⋊C8C22×C4311yescharacteristic
381D4⋊C8C22×C4311yescharacteristic
382#322C22×C4311yescharacteristic, complemented
383C43#1980411yescharacteristic, direct product factor, Sylow
384C2×#41—21no—
385C22×Q8—21no—
386C22×D4—21no—
387C22×D4—21no—
388AGL(1,ℤ/8)—44no—
389C2×SD16—21no—
390C2×SD16—21no—
391C2×SD16—21no—
392C2×SD16—21no—
393C2×SD16—21no—
394C2×SD16—21no—
395C2×SD16—41no—
396C2×SD16—44no—
397C2×SD16D4×C4311yescharacteristic
398C2×SD16D4×C4311yescharacteristic
399C2×D8—21no—
400C2×D8—21no—
401C2×D8—21no—
402C2×M16—21no—
403C22×C8—21no—
404C4⋊Q8—21no—
405C4⋊Q8—21no—
406C4⋊Q8—21no—
407C4⋊Q8—41no—
408C4⋊Q8C23×C4311yescharacteristic
409C4⋊Q8C23×C4311yescharacteristic
410#127—21no—
411#127C23×C4311yescharacteristic
412#127C23×C4311yescharacteristic
413C22⋊Q8—21no—
414C22⋊Q8—41no—
415#121—21no—
416#121—21no—
417#121—21no—
418#121—41no—
419#120—41no—
420C4×Q8—21no—
421C4×Q8—21no—
422C4×Q8C23×C4311yescharacteristic
423C4×Q8C23×C4311yescharacteristic
424C4×D4—21no—
425C4×D4—21no—
426C4×D4C23×C4311yescharacteristic
427C4×D4C23×C4311yescharacteristic
428#106—21no—
429#106—21no—
430#106—21no—
431#106—21no—
432#106—21no—
433#106D4×C4311yescharacteristic
434#106D4×C4311yescharacteristic
435C4⋊C8—21no—
436C4⋊C8—21no—
437C4⋊C8C23×C4311yescharacteristic
438C4⋊C8C23×C4311yescharacteristic
439C4⋊C8C23×C4311yescharacteristic
440C4⋊C8C23×C4311yescharacteristic
441#103—21no—
442#103—21no—
443#103D4×C4311yescharacteristic
444#103D4×C4311yescharacteristic
445#102—21no—
446#102—21no—
447#102—21no—
448#102—21no—
449#102—21no—
450#102—21no—
451#102—21no—
452#102—21no—
453#102—41no—
454#102D4×C4311yescharacteristic
455#102D4×C4311yescharacteristic
456C22⋊C8—21no—
457C22⋊C8—21no—
458C4×C8—21no—
459C4×C8—21no—
460C4×C8C23×C4311yescharacteristic
461C4×C8C23×C4311yescharacteristic
462C4×C8C23×C4311yescharacteristic
463C24—41no—
464#41—42no—
465#41—81no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—41no—
469C2×Q8—41no—
470C2×Q8—42no—
471C2×Q8—81no—
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—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—81no—
487C2×D4—81no—
488C2×D4C2×D4×C4311yescharacteristic
489C2×D4C2×D4×C4311yescharacteristic
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—41no—
493C22×C4—41no—
494SD16—22no—
495SD16—42no—
496SD16—42no—
497SD16—42no—
498SD16—42no—
499SD16—42no—
500SD16—81no—
501SD16—82no—
502SD16SD16×C4314yescomplemented
503D8—42no—
504D8—42no—
505D8—81no—
506M16—42no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—42no—
513C2×C8C2×D4×C4311yescharacteristic
514C2×C8C2×D4×C4311yescharacteristic
515C2×C8C2×D4×C4311yescharacteristic
516C2×C8C2×D4×C4311yescharacteristic
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4—41no—
526C4⋊C4C2×D4×C4311yescharacteristic
527C4⋊C4C2×D4×C4311yescharacteristic
528C4⋊C4C2×D4×C4311yescharacteristic
529C4⋊C4C2×D4×C4311yescharacteristic
530C22⋊C4—21no—
531C22⋊C4—21no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—41no—
535C42—21no—
536C42—21no—
537C42—41no—
538C42C24×C4311yescharacteristic
539C23—21no—
540C23—21no—
541C23—41no—
542C23—41no—
543C23—82no—
544C23—82no—
545C23—161no—
546Q8—21no—
547Q8—21no—
548Q8—41no—
549Q8—41no—
550Q8—82no—
551Q8—81no—
552Q8—161no—
553Q8C2×SD16×C4312yescomplemented
554Q8AGL(1,ℤ/8)×C4312yescomplemented
555D4—21no—
556D4—21no—
557D4—21no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—82no—
567D4—81no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—161no—
572D4C2×SD16×C4312yes—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—82no—
586C2×C4—82no—
587C2×C4C22×D4×C4311yescharacteristic
588C2×C4C22×D4×C4311yescharacteristic
589C2×C4H(5,𝔽2)×C4311yescharacteristic
590C8—21no—
591C8—21no—
592C8—21no—
593C8—41no—
594C8—41no—
595C8—41no—
596C8—41no—
597C8—41no—
598C8C2×SD16×C4312yescomplemented
599C22—22no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—81no—
606C22—81no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22—164no—
612C22D42×C4311yescharacteristic
613C4—22no—
614C4—22no—
615C4—21no—
616C4—41no—
617C4—41no—
618C4—41no—
619C4—41no—
620C4—81no—
621C4—81no—
622C4C22×SD16×C4311yescharacteristic
623C4C2×AGL(1,ℤ/8)×C4311yescharacteristic
624C4C43×#57711yescharacteristic
625C4C43×#57711yescharacteristic
626C2—42no—
627C2—81no—
628C2—161no—
629C2—161no—
630C2C43×#326511yescharacteristic
631C2D4×SD16×C4311yescharacteristic
632C2C43×#328811yescharacteristic
subgroupG/H
center, socleC22×C43D42
commutator, Frattini, cosocleC42C24×C43
prime radicalC43×#3274C2
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. Q8×SD16×C43C2semidirect
2. C43×#3362C2semidirect
3. D4×SD16×C43C2semidirect
5. C43×#1715C2semidirect
6. C43×#1691C2semidirect
7. C43×#1677C2semidirect
8. C43×#1668C2semidirect
9. C43×#1666C2semidirect
10. C43×#1642C2semidirect
11. C43×#1629C2semidirect
12. C43×#1627C2semidirect
13. C43×#1623C2semidirect
14. C43×#1583C2semidirect
15. C43×SD16⋊C8C2semidirect
18. Q82×C43C22semidirect
23. C43×#498C22semidirect
28. C43×#486C22semidirect
29. C43×#486C22semidirect
35. C43×#475C22semidirect
42. C43×#460C22semidirect
48. C8×Q8×C43C22semidirect
49. C8×Q8×C43C22semidirect
56. C43×#335C22semidirect
57. C43×#334C22semidirect
58. C43×#333C22semidirect
59. C43×#332C22semidirect
61. C43×#331C22semidirect
62. C43×Q8⋊C8C22semidirect
63. C43×Q8⋊C8C22semidirect
66. C43×#322C22semidirect
185. SD16×C43SD16semidirect
236. Q8×C43C2×SD16semidirect
237. Q8×C43AGL(1,ℤ/8)semidirect
281. C8×C43C2×SD16semidirect
282. #19804C43direct (N × H)
310. Q8×SD16C2×C43semidirect
311. #3362C2×C43semidirect
312. D4×SD16C2×C43semidirect
314. #1715C2×C43semidirect
315. #1691C2×C43semidirect
316. #1677C2×C43semidirect
317. #1668C2×C43semidirect
318. #1666C2×C43semidirect
319. #1642C2×C43semidirect
320. #1629C2×C43semidirect
321. #1627C2×C43semidirect
322. #1623C2×C43semidirect
323. #1583C2×C43semidirect
324. SD16⋊C8C2×C43semidirect
334. Q82C22×C43semidirect
339. #498C22×C43semidirect
344. #486C22×C43semidirect
345. #486C22×C43semidirect
351. #475C22×C43semidirect
358. #460C22×C43semidirect
364. C8×Q8C22×C43semidirect
365. C8×Q8C22×C43semidirect
372. #335C22×C43semidirect
373. #334C22×C43semidirect
374. #333C22×C43semidirect
375. #332C22×C43semidirect
377. #331C22×C43semidirect
378. Q8⋊C8C22×C43semidirect
379. Q8⋊C8C22×C43semidirect
382. #322C22×C43semidirect
383. C43#19804direct (N × H)
502. SD16SD16×C43semidirect
553. Q8C2×SD16×C43semidirect
554. Q8AGL(1,ℤ/8)×C43semidirect
598. C8C2×SD16×C43semidirect

Maximal subgroups

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

subgroupindex
Q8×SD16×C432
C43×#33622
D4×SD16×C432
C43×#32742
C43×#17152
C43×#16912
C43×#16772
C43×#16682
C43×#16662
C43×#16422
C43×#16292
C43×#16272
C43×#16232
C43×#15832
C43×SD16⋊C82
#1980443