Finite Group Databasebeta

← C43×#18452 #24938469

Subgroups — C43×#18452 #24938469

Order 11008.

1028 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×#3536C211yesmaximal, characteristic, complemented
2C43×#3194C211yesmaximal, characteristic, complemented
3C43×#3187C211yesmaximal, characteristic, complemented
4C43×#2815C211yesmaximal, characteristic, complemented
5C43×#1612C212yesmaximal, complemented
6C43×#1608C212yesmaximal, complemented
7C43×#1600C212yesmaximal, complemented
8C43×#1596C212yesmaximal, complemented
9C43×#1516C211yesmaximal, characteristic, complemented
10C43×#1511C211yesmaximal, characteristic, complemented
11C43×#1471C211yesmaximal, characteristic, complemented
12C43×#562—22no—
13C43×#554—21no—
14C43×#548—21no—
15C43×#547—21no—
16C43×#546—22no—
17C43×#546—21no—
18C43×#543C2212yes—
19C43×#542—21no—
20C43×#539—21no—
21C43×#538C2212yes—
22C43×#537—21no—
23C43×#537—21no—
24C43×#525C2211yescharacteristic
25C2×C22⋊Q8×C43C2211yescharacteristic
26C2×#121×C43C2211yescharacteristic
27C2×#121×C43C2211yescharacteristic
28C43×#483C2211yescharacteristic
29C43×#483C2212yes—
30C43×#482—21no—
31C43×#481—21no—
32C43×#480C2211yescharacteristic
33C43×#469—21no—
34C43×#468—21no—
35C43×#465—22no—
36C43×#450C2211yescharacteristic
37C43×#450C2212yes—
38C43×#449—21no—
39C43×#448—21no—
40C43×#447C2211yescharacteristic
41C43×#407C2211yescharacteristic
42C2×C22⋊C8×C43C2211yescharacteristic
43C43×#397—21no—
44C43×#397C2212yes—
45C43×#392—21no—
46C43×#392—22no—
47C43×#392C2212yes—
48C43×#381C2211yescharacteristic
49C43×#328C2212yes—
50C43×#328C2212yes—
51C43×#328C2212yes—
52C43×#327C2212yes—
53C43×#323C2212yes—
54C43×#323C2212yes—
55C2×#41×C43—22no—
56C2×#41×C43—21no—
57C2×#41×C43D411yescharacteristic, complemented
58C22×Q8×C43D411yescharacteristic, complemented
59C22×D4×C43—21no—
60C22×D4×C43—22no—
61C22×D4×C43D412yes—
62C22×D4×C43D411yescharacteristic
63C22×D4×C43C2311yescharacteristic
64C23×C4×C43C2311yescharacteristic
65C2×SD16×C43—22no—
66C2×SD16×C43—21no—
67C2×D8×C43—21no—
68C2×M16×C43—21no—
69C22×C8×C43—21no—
70C4⋊Q8×C43—21no—
71#126×C43—22no—
72#125×C43—22no—
73#124×C43—21no—
74#124×C43—22no—
75#124×C43—22no—
76#123×C43—22no—
77#123×C43—22no—
78#123×C43—22no—
79#123×C43—21no—
80#123×C43—22no—
81C22⋊Q8×C43—21no—
82C22⋊Q8×C43—22no—
83C22⋊Q8×C43—22no—
84C22⋊Q8×C43—22no—
85C22⋊Q8×C43—21no—
86C22⋊Q8×C43—21no—
87C22⋊Q8×C43—22no—
88C22⋊Q8×C43—22no—
89C22⋊Q8×C43—22no—
90C22⋊Q8×C43D412yescomplemented
91C22⋊Q8×C43D411yescharacteristic, complemented
92C22⋊Q8×C43C2312yes—
93C22⋊Q8×C43C2311yescharacteristic
94#121×C43—21no—
95#121×C43—22no—
96#121×C43—22no—
97#121×C43—22no—
98#121×C43—22no—
99#121×C43—22no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—21no—
103#121×C43—21no—
104#121×C43—21no—
105#121×C43—21no—
106#121×C43—21no—
107#121×C43—21no—
108#121×C43D411yescharacteristic, complemented
109#121×C43C2311yescharacteristic
110#120×C43—21no—
111#120×C43—22no—
112C4×Q8×C43—21no—
113C4×D4×C43—22no—
114C4×D4×C43—21no—
115C4×D4×C43—21no—
116C4×D4×C43—21no—
117C4×D4×C43—22no—
118#117×C43D411yescharacteristic, complemented
119C2×C4⋊C4×C43—21no—
120C2×C4⋊C4×C43—21no—
121C2×C4⋊C4×C43D411yescharacteristic
122C2×C4⋊C4×C43D411yescharacteristic, complemented
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C22⋊C4×C43—21no—
125C2×C22⋊C4×C43—22no—
126C2×C22⋊C4×C43—21no—
127C2×C22⋊C4×C43—21no—
128C2×C22⋊C4×C43—22no—
129C2×C22⋊C4×C43—22no—
130C2×C22⋊C4×C43C2312yes—
131#107×C43—21no—
132#106×C43—22no—
133#106×C43—21no—
134#103×C43—22no—
135#103×C43—21no—
136#102×C43—21no—
137#102×C43—21no—
138#102×C43—22no—
139#102×C43—21no—
140C22⋊C8×C43—21no—
141C22⋊C8×C43—21no—
142C22⋊C8×C43C2312yes—
143C22⋊C8×C43C2311yescharacteristic
144C22⋊C8×C43C2311yescharacteristic
145#95×C43—21no—
146#95×C43—22no—
147#95×C43C2312yes—
148C24×C43—21no—
149C24×C43C2×D412yes—
150C24×C43C2×D411yescharacteristic
151#41×C43—81no—
152#41×C43—84no—
153#41×C43—82no—
154C2×Q8×C43—22no—
155C2×Q8×C43—21no—
156C2×Q8×C43—81no—
157C2×Q8×C43C2×D411yescharacteristic
158C2×Q8×C43C2×D412yes—
159C2×D4×C43—22no—
160C2×D4×C43—22no—
161C2×D4×C43—21no—
162C2×D4×C43—21no—
163C2×D4×C43—21no—
164C2×D4×C43—22no—
165C2×D4×C43—21no—
166C2×D4×C43—22no—
167C2×D4×C43—21no—
168C2×D4×C43—21no—
169C2×D4×C43—21no—
170C2×D4×C43—41no—
171C2×D4×C43—41no—
172C2×D4×C43—82no—
173C2×D4×C43—82no—
174C2×D4×C43—81no—
175C2×D4×C43—82no—
176C2×D4×C43—81no—
177C2×D4×C43—82no—
178C2×D4×C43—82no—
179C2×D4×C43C2×D411yescharacteristic
180C22×C4×C43—22no—
181C22×C4×C43—22no—
182C22×C4×C43—22no—
183C22×C4×C43—21no—
184C22×C4×C43—21no—
185C22×C4×C43—21no—
186C22×C4×C43—22no—
187C22×C4×C43—21no—
188C22×C4×C43—81no—
189C22×C4×C43C2×D411yescharacteristic
190C22×C4×C43C2×D411yescharacteristic
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2×D412yes—
194C22×C4×C43C2×D411yescharacteristic
195C22×C4×C43C2411yescharacteristic
196SD16×C43—82no—
197SD16×C43—81no—
198D8×C43—81no—
199M16×C43—81no—
200C2×C8×C43—21no—
201C2×C8×C43—22no—
202C2×C8×C43—21no—
203C2×C8×C43—81no—
204C4⋊C4×C43—22no—
205C4⋊C4×C43—22no—
206C4⋊C4×C43—22no—
207C4⋊C4×C43—22no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43—22no—
211C4⋊C4×C43—21no—
212C4⋊C4×C43—21no—
213C4⋊C4×C43—22no—
214C4⋊C4×C43—21no—
215C4⋊C4×C43—21no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43C2×D412yes—
218C4⋊C4×C43C2×D411yescharacteristic
219C4⋊C4×C43C2×D411yescharacteristic
220C22⋊C4×C43—22no—
221C22⋊C4×C43—22no—
222C22⋊C4×C43—22no—
223C22⋊C4×C43—22no—
224C22⋊C4×C43—22no—
225C22⋊C4×C43—21no—
226C22⋊C4×C43—22no—
227C22⋊C4×C43—22no—
228C22⋊C4×C43—21no—
229C22⋊C4×C43—22no—
230C22⋊C4×C43—21no—
231C22⋊C4×C43—21no—
232C22⋊C4×C43—22no—
233C22⋊C4×C43—21no—
234C22⋊C4×C43—41no—
235C22⋊C4×C43—41no—
236C22⋊C4×C43—82no—
237C22⋊C4×C43—81no—
238C22⋊C4×C43—82no—
239C42×C43—22no—
240C42×C43—21no—
241C23×C43—22no—
242C23×C43—22no—
243C23×C43—21no—
244C23×C43—22no—
245C23×C43—22no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—42no—
249C23×C43—42no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43—42no—
253C23×C43—41no—
254C23×C43—42no—
255C23×C43#12011yescharacteristic
256C23×C43#12011yescharacteristic
257C23×C43C22×D411yescharacteristic
258Q8×C43—42no—
259Q8×C43—41no—
260Q8×C43—42no—
261Q8×C43—82no—
262D4×C43—41no—
263D4×C43—42no—
264D4×C43—41no—
265D4×C43—41no—
266D4×C43—42no—
267D4×C43—44no—
268D4×C43—42no—
269D4×C43—42no—
270D4×C43—81no—
271D4×C43—82no—
272D4×C43—81no—
273D4×C43—82no—
274D4×C43—82no—
275D4×C43—82no—
276D4×C43—82no—
277D4×C43—88no—
278C2×C4×C43—21no—
279C2×C4×C43—22no—
280C2×C4×C43—21no—
281C2×C4×C43—22no—
282C2×C4×C43—21no—
283C2×C4×C43—22no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43—41no—
287C2×C4×C43—41no—
288C2×C4×C43—41no—
289C2×C4×C43—41no—
290C2×C4×C43—42no—
291C2×C4×C43—42no—
292C2×C4×C43—42no—
293C2×C4×C43—42no—
294C2×C4×C43—42no—
295C2×C4×C43—41no—
296C2×C4×C43—42no—
297C2×C4×C43—42no—
298C2×C4×C43—81no—
299C2×C4×C43—82no—
300C2×C4×C43—82no—
301C2×C4×C43—82no—
302C2×C4×C43#12011yescharacteristic
303C2×C4×C43#12011yescharacteristic
304C2×C4×C43C22×D411yescharacteristic
305C2×C4×C43C22×D411yescharacteristic
306C8×C43—42no—
307C8×C43—41no—
308C8×C43—41no—
309#18452C4311yesmaximal, characteristic, direct product factor, Sylow
310C22×C43—21no—
311C22×C43—21no—
312C22×C43—21no—
313C22×C43—21no—
314C22×C43—21no—
315C22×C43—21no—
316C22×C43—21no—
317C22×C43—21no—
318C22×C43—42no—
319C22×C43—41no—
320C22×C43—42no—
321C22×C43—41no—
322C22×C43—42no—
323C22×C43—41no—
324C22×C43—82no—
325C22×C43—82no—
326C22×C43—82no—
327C22×C43—82no—
328C22×C43—82no—
329C22×C43—81no—
330C22×C43—81no—
331C22×C43—81no—
332C22×C43C2×#12011yescharacteristic
333C22×C43#57712yes—
334C4×C43—21no—
335C4×C43—21no—
336C4×C43—21no—
337C4×C43—21no—
338C4×C43—41no—
339C4×C43—42no—
340C4×C43—42no—
341C4×C43—41no—
342C4×C43—41no—
343C4×C43—42no—
344C4×C43—82no—
345C4×C43—81no—
346#3536C2×C4311yescharacteristic, complemented
347#3194C2×C4311yescharacteristic, complemented
348#3187C2×C4311yescharacteristic, complemented
349#2815C2×C4311yescharacteristic, complemented
350#1612C2×C4312yescomplemented
351#1608C2×C4312yescomplemented
352#1600C2×C4312yescomplemented
353#1596C2×C4312yescomplemented
354#1516C2×C4311yescharacteristic, complemented
355#1511C2×C4311yescharacteristic, complemented
356#1471C2×C4311yescharacteristic, complemented
357C2×C43—22no—
358C2×C43—41no—
359C2×C43—41no—
360C2×C43—81no—
361C2×C43—82no—
362C2×C43—161no—
363C2×C43#301011yescharacteristic
364C2×C43#301911yescharacteristic
365C2×C43#302611yescharacteristic
366#562—22no—
367#554—21no—
368#548—21no—
369#547—21no—
370#546—22no—
371#546—21no—
372#543C22×C4312yes—
373#542—21no—
374#539—21no—
375#538C22×C4312yes—
376#537—21no—
377#537—21no—
378#525C22×C4311yescharacteristic
379C2×C22⋊Q8C22×C4311yescharacteristic
380C2×#121C22×C4311yescharacteristic
381C2×#121C22×C4311yescharacteristic
382#483C22×C4311yescharacteristic
383#483C22×C4312yes—
384#482—21no—
385#481—21no—
386#480C22×C4311yescharacteristic
387#469—21no—
388#468—21no—
389#465—22no—
390#450C22×C4311yescharacteristic
391#450C22×C4312yes—
392#449—21no—
393#448—21no—
394#447C22×C4311yescharacteristic
395#407C22×C4311yescharacteristic
396C2×C22⋊C8C22×C4311yescharacteristic
397#397—21no—
398#397C22×C4312yes—
399#392—21no—
400#392—22no—
401#392C22×C4312yes—
402#381C22×C4311yescharacteristic
403#328C22×C4312yes—
404#328C22×C4312yes—
405#328C22×C4312yes—
406#327C22×C4312yes—
407#323C22×C4312yes—
408#323C22×C4312yes—
409C43#1845211yescharacteristic, direct product factor, Sylow
410C2×#41—22no—
411C2×#41—21no—
412C2×#41D4×C4311yescharacteristic, complemented
413C22×Q8D4×C4311yescharacteristic, complemented
414C22×D4—21no—
415C22×D4—22no—
416C22×D4D4×C4312yes—
417C22×D4D4×C4311yescharacteristic
418C22×D4C23×C4311yescharacteristic
419C23×C4C23×C4311yescharacteristic
420C2×SD16—22no—
421C2×SD16—21no—
422C2×D8—21no—
423C2×M16—21no—
424C22×C8—21no—
425C4⋊Q8—21no—
426#126—22no—
427#125—22no—
428#124—21no—
429#124—22no—
430#124—22no—
431#123—22no—
432#123—22no—
433#123—22no—
434#123—21no—
435#123—22no—
436C22⋊Q8—21no—
437C22⋊Q8—22no—
438C22⋊Q8—22no—
439C22⋊Q8—22no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—22no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445C22⋊Q8D4×C4312yescomplemented
446C22⋊Q8D4×C4311yescharacteristic, complemented
447C22⋊Q8C23×C4312yes—
448C22⋊Q8C23×C4311yescharacteristic
449#121—21no—
450#121—22no—
451#121—22no—
452#121—22no—
453#121—22no—
454#121—22no—
455#121—21no—
456#121—21no—
457#121—21no—
458#121—21no—
459#121—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121D4×C4311yescharacteristic, complemented
464#121C23×C4311yescharacteristic
465#120—21no—
466#120—22no—
467C4×Q8—21no—
468C4×D4—22no—
469C4×D4—21no—
470C4×D4—21no—
471C4×D4—21no—
472C4×D4—22no—
473#117D4×C4311yescharacteristic, complemented
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4D4×C4311yescharacteristic
477C2×C4⋊C4D4×C4311yescharacteristic, complemented
478C2×C4⋊C4C23×C4311yescharacteristic
479C2×C22⋊C4—21no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—22no—
484C2×C22⋊C4—22no—
485C2×C22⋊C4C23×C4312yes—
486#107—21no—
487#106—22no—
488#106—21no—
489#103—22no—
490#103—21no—
491#102—21no—
492#102—21no—
493#102—22no—
494#102—21no—
495C22⋊C8—21no—
496C22⋊C8—21no—
497C22⋊C8C23×C4312yes—
498C22⋊C8C23×C4311yescharacteristic
499C22⋊C8C23×C4311yescharacteristic
500#95—21no—
501#95—22no—
502#95C23×C4312yes—
503C24—21no—
504C24C2×D4×C4312yes—
505C24C2×D4×C4311yescharacteristic
506#41—81no—
507#41—84no—
508#41—82no—
509C2×Q8—22no—
510C2×Q8—21no—
511C2×Q8—81no—
512C2×Q8C2×D4×C4311yescharacteristic
513C2×Q8C2×D4×C4312yes—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—21no—
517C2×D4—22no—
518C2×D4—22no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—41no—
526C2×D4—41no—
527C2×D4—81no—
528C2×D4—81no—
529C2×D4—82no—
530C2×D4—82no—
531C2×D4—82no—
532C2×D4—82no—
533C2×D4—82no—
534C2×D4C2×D4×C4311yescharacteristic
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—81no—
544C22×C4C2×D4×C4312yes—
545C22×C4C2×D4×C4311yescharacteristic
546C22×C4C2×D4×C4311yescharacteristic
547C22×C4C2×D4×C4311yescharacteristic
548C22×C4C2×D4×C4311yescharacteristic
549C22×C4C2×D4×C4311yescharacteristic
550C22×C4C24×C4311yescharacteristic
551SD16—82no—
552SD16—81no—
553D8—81no—
554M16—81no—
555C2×C8—21no—
556C2×C8—22no—
557C2×C8—21no—
558C2×C8—81no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—22no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4C2×D4×C4312yes—
573C4⋊C4C2×D4×C4311yescharacteristic
574C4⋊C4C2×D4×C4311yescharacteristic
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—21no—
585C22⋊C4—21no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—21no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—81no—
594C42—22no—
595C42—21no—
596C23—22no—
597C23—22no—
598C23—21no—
599C23—22no—
600C23—22no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—41no—
609C23—42no—
610C23#120×C4311yescharacteristic
611C23#120×C4311yescharacteristic
612C23C22×D4×C4311yescharacteristic
613Q8—42no—
614Q8—41no—
615Q8—42no—
616Q8—82no—
617D4—41no—
618D4—42no—
619D4—41no—
620D4—41no—
621D4—42no—
622D4—44no—
623D4—42no—
624D4—42no—
625D4—81no—
626D4—82no—
627D4—81no—
628D4—82no—
629D4—82no—
630D4—82no—
631D4—82no—
632D4—88no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—81no—
654C2×C4—82no—
655C2×C4—82no—
656C2×C4—82no—
657C2×C4#120×C4311yescharacteristic
658C2×C4#120×C4311yescharacteristic
659C2×C4C22×D4×C4311yescharacteristic
660C2×C4C22×D4×C4311yescharacteristic
661C8—42no—
662C8—41no—
663C8—41no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—41no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—41no—
677C22—42no—
678C22—82no—
679C22—82no—
680C22—82no—
681C22—82no—
682C22—82no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22C2×#120×C4311yescharacteristic
687C22C43×#57712yes—
688C4—21no—
689C4—21no—
690C4—21no—
691C4—21no—
692C4—41no—
693C4—42no—
694C4—42no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—82no—
699C4—81no—
700C2—22no—
701C2—41no—
702C2—41no—
703C2—82no—
704C2—81no—
705C2—161no—
706C2C43×#301011yescharacteristic
707C2C43×#301911yescharacteristic
708C2C43×#302611yescharacteristic
subgroupG/H
center, socleC22×C43C2×#120
commutator, Frattini, cosocleC22×C4C24×C43
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C43 ◁ C23×C4×C43 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C43×#3536C2semidirect
2. C43×#3194C2semidirect
3. C43×#3187C2semidirect
4. C43×#2815C2semidirect
5. C43×#1612C2semidirect
6. C43×#1608C2semidirect
7. C43×#1600C2semidirect
8. C43×#1596C2semidirect
9. C43×#1516C2semidirect
10. C43×#1511C2semidirect
11. C43×#1471C2semidirect
57. C2×#41×C43D4semidirect
58. C22×Q8×C43D4semidirect
90. C22⋊Q8×C43D4semidirect
91. C22⋊Q8×C43D4semidirect
108. #121×C43D4semidirect
118. #117×C43D4semidirect
122. C2×C4⋊C4×C43D4semidirect
309. #18452C43direct (N × H)
346. #3536C2×C43semidirect
347. #3194C2×C43semidirect
348. #3187C2×C43semidirect
349. #2815C2×C43semidirect
350. #1612C2×C43semidirect
351. #1608C2×C43semidirect
352. #1600C2×C43semidirect
353. #1596C2×C43semidirect
354. #1516C2×C43semidirect
355. #1511C2×C43semidirect
356. #1471C2×C43semidirect
409. C43#18452direct (N × H)
412. C2×#41D4×C43semidirect
413. C22×Q8D4×C43semidirect
445. C22⋊Q8D4×C43semidirect
446. C22⋊Q8D4×C43semidirect
463. #121D4×C43semidirect
473. #117D4×C43semidirect
477. C2×C4⋊C4D4×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35362
C43×#31942
C43×#31872
C43×#28152
C43×#16122
C43×#16082
C43×#16002
C43×#15962
C43×#15162
C43×#15112
C43×#14712
#1845243