Finite Group Databasebeta

← C43×#26166 #24946183

Subgroups — C43×#26166 #24946183

Order 11008.

904 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#461C211yesmaximal, characteristic
2C2×C4×SD16×C43C211yesmaximal, characteristic
3C43×#2446C211yesmaximal, characteristic, complemented
4D4×C4⋊C4×C43C211yesmaximal, characteristic
5C43×#2096C211yesmaximal, characteristic, complemented
6C43×#2088C211yesmaximal, characteristic, complemented
7C43×#2072C211yesmaximal, characteristic, complemented
8C43×#2043C211yesmaximal, characteristic, complemented
9C43×#1933C211yesmaximal, characteristic, complemented
10C43×#1916C211yesmaximal, characteristic, complemented
11C43×#1877C211yesmaximal, characteristic
12C43×#1877C211yesmaximal, characteristic
13C43×#1877C211yesmaximal, characteristic
14C43×#1865C211yesmaximal, characteristic, complemented
15C43×#1864C211yesmaximal, characteristic
16C22×SD16×C43C2211yescharacteristic
17C22×SD16×C43C2211yescharacteristic
18C2×C4⋊Q8×C43C2211yescharacteristic
19C2×C4×Q8×C43C2211yescharacteristic
20C2×C4×D4×C43C2211yescharacteristic
21C2×C4×D4×C43C2211yescharacteristic
22C2×C4×D4×C43C2211yescharacteristic
23C22×C4⋊C4×C43—21no—
24C43×#461—24no—
25C4×SD16×C43—24no—
26C2×#106×C43C2211yescharacteristic
27C2×#106×C43C2211yescharacteristic
28C2×C4⋊C8×C43C2211yescharacteristic
29C2×#103×C43C2211yescharacteristic
30C2×#103×C43C2211yescharacteristic
31C2×#103×C43C2211yescharacteristic
32C2×#103×C43C2211yescharacteristic
33C2×#103×C43C2211yescharacteristic
34C2×#103×C43C2211yescharacteristic
35C2×#102×C43C2211yescharacteristic
36C2×#102×C43C2211yescharacteristic
37C2×C4×C8×C43C2211yescharacteristic
38C43×#400—21no—
39C43×#398—21no—
40C43×#391C2211yescharacteristic
41C43×#391C2211yescharacteristic
42C43×#391C2211yescharacteristic
43C43×#389C2211yescharacteristic
44C43×#389C2211yescharacteristic
45C43×#389C2211yescharacteristic
46C43×#387—21no—
47C43×#387—21no—
48C43×#385—21no—
49C43×#385—21no—
50C43×#384C2211yescharacteristic
51C43×#380—21no—
52C4×C4⋊C4×C43C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#340C2211yescharacteristic
56C43×#340C2211yescharacteristic
57C43×#336C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C43×#336C2211yescharacteristic
61C22×Q8×C43C2311yescharacteristic
62C22×Q8×C43C2311yescharacteristic
63C22×D4×C43C2311yescharacteristic
64C23×C4×C43—21no—
65C23×C4×C43—21no—
66C23×C4×C43—21no—
67C2×SD16×C43—22no—
68C2×SD16×C43—22no—
69C2×SD16×C43—22no—
70C2×SD16×C43—22no—
71C2×SD16×C43—22no—
72C2×SD16×C43D414yes—
73C22×C8×C43C2311yescharacteristic
74C22×C8×C43C2311yescharacteristic
75C22×C8×C43C2311yescharacteristic
76C22×C8×C43C2311yescharacteristic
77C4⋊Q8×C43—22no—
78C4⋊Q8×C43—41no—
79C4×Q8×C43—22no—
80C4×Q8×C43—41no—
81C4×D4×C43—22no—
82C4×D4×C43—22no—
83C4×D4×C43—22no—
84C4×D4×C43—22no—
85C4×D4×C43—41no—
86C4×D4×C43—41no—
87C2×C4⋊C4×C43—21no—
88C2×C4⋊C4×C43—21no—
89C2×C4⋊C4×C43—21no—
90C2×C4⋊C4×C43—21no—
91C2×C4⋊C4×C43—21no—
92C2×C4⋊C4×C43—21no—
93C2×C4⋊C4×C43—21no—
94C2×C4⋊C4×C43—21no—
95C2×C4⋊C4×C43—44no—
96C2×C4⋊C4×C43D411yescharacteristic
97C2×C4⋊C4×C43D411yescharacteristic
98C2×C4⋊C4×C43C2311yescharacteristic
99C2×C4⋊C4×C43C2311yescharacteristic
100C2×C4⋊C4×C43C2311yescharacteristic
101C2×C4⋊C4×C43C2311yescharacteristic
102C2×C4⋊C4×C43C2311yescharacteristic
103C2×C22⋊C4×C43—21no—
104C2×C22⋊C4×C43—21no—
105C2×C22⋊C4×C43—21no—
106C2×C42×C43—21no—
107C2×C42×C43C2311yescharacteristic
108C2×C42×C43C2311yescharacteristic
109C2×C42×C43C2311yescharacteristic
110#106×C43—22no—
111#106×C43—41no—
112C4⋊C8×C43—22no—
113#103×C43—22no—
114#103×C43—22no—
115#103×C43—22no—
116#103×C43—22no—
117#103×C43—22no—
118#103×C43—41no—
119#102×C43—22no—
120#102×C43—22no—
121C4×C8×C43—22no—
122#95×C43—21no—
123#95×C43—21no—
124#95×C43—21no—
125#95×C43—21no—
126#95×C43—21no—
127#95×C43—21no—
128#95×C43—21no—
129#95×C43—21no—
130#95×C43—21no—
131#95×C43D411yescharacteristic
132#95×C43D411yescharacteristic
133C24×C43—21no—
134C2×Q8×C43—21no—
135C2×Q8×C43—21no—
136C2×Q8×C43—21no—
137C2×Q8×C43—21no—
138C2×Q8×C43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43—21no—
145C2×Q8×C43C2×D412yes—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43C2×D412yes—
150C2×D4×C43#4112yes—
151C2×D4×C43#4112yes—
152C22×C4×C43—24no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43—21no—
158C22×C4×C43—21no—
159C22×C4×C43—21no—
160C22×C4×C43—42no—
161C22×C4×C43—42no—
162C22×C4×C43—42no—
163C22×C4×C43—42no—
164C22×C4×C43—42no—
165C22×C4×C43—42no—
166C22×C4×C43—81no—
167C22×C4×C43—81no—
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2411yescharacteristic
175SD16×C43—28no—
176SD16×C43—44no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C2×C8×C43—21no—
184C2×C8×C43—21no—
185C2×C8×C43—21no—
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C2×C8×C43C2×D412yes—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—21no—
191C4⋊C4×C43—21no—
192C4⋊C4×C43—21no—
193C4⋊C4×C43—21no—
194C4⋊C4×C43—21no—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—41no—
199C4⋊C4×C43—42no—
200C4⋊C4×C43—42no—
201C4⋊C4×C43—42no—
202C4⋊C4×C43—42no—
203C4⋊C4×C43—42no—
204C4⋊C4×C43—42no—
205C4⋊C4×C43—42no—
206C4⋊C4×C43—81no—
207C4⋊C4×C43SD1614yescomplemented
208C4⋊C4×C43#4112yes—
209C22⋊C4×C43—24no—
210C22⋊C4×C43—42no—
211C22⋊C4×C43—42no—
212C42×C43—21no—
213C42×C43—21no—
214C42×C43—21no—
215C42×C43—21no—
216C42×C43—21no—
217C42×C43—21no—
218C42×C43—42no—
219C23×C43—22no—
220C23×C43—22no—
221C23×C43—22no—
222C23×C43—41no—
223C23×C43—41no—
224C23×C43—41no—
225C23×C43—41no—
226C23×C43C22×D411yescharacteristic
227Q8×C43—22no—
228Q8×C43—22no—
229Q8×C43—41no—
230Q8×C43—41no—
231Q8×C43—41no—
232Q8×C43—41no—
233Q8×C43—41no—
234Q8×C43—41no—
235D4×C43—22no—
236D4×C43—22no—
237D4×C43—22no—
238D4×C43#12314yes—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—22no—
247C2×C4×C43—21no—
248C2×C4×C43—21no—
249C2×C4×C43—22no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—48no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
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—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—84no—
277C2×C4×C43—84no—
278C2×C4×C43C2×SD1612yes—
279C2×C4×C43C2×SD1612yes—
280C2×C4×C43C2×SD1612yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C432−1+411yescharacteristic
287C8×C43—22no—
288C8×C43—41no—
289C8×C43—41no—
290C8×C43—41no—
291#26166C4311yesmaximal, characteristic, direct product factor, Sylow
292C22×C43—24no—
293C22×C43—42no—
294C22×C43—42no—
295C22×C43—42no—
296C22×C43—42no—
297C22×C43—42no—
298C22×C43—42no—
299C22×C43#52511yescharacteristic
300C22×C43D4211yescharacteristic
301C22×C43#54811yescharacteristic
302C22×C43C22×SD1611yescharacteristic
303C22×C43#57511yescharacteristic
304C22×C43#57711yescharacteristic
305C22×C43#57811yescharacteristic
306C4×C43—22no—
307C4×C43—22no—
308C4×C43—22no—
309C4×C43—42no—
310C4×C43—41no—
311C4×C43—42no—
312C4×C43—41no—
313C4×C43—41no—
314C4×C43—81no—
315C4×C43—81no—
316C4×C43—81no—
317C4×C43—81no—
318C4×C43—81no—
319C4×C43C2×#12311yescharacteristic
320C4×C43#53911yescharacteristic
321C4×C43#54711yescharacteristic
322C4×C43#55311yescharacteristic
323C2×#461C2×C4311yescharacteristic
324C2×C4×SD16C2×C4311yescharacteristic
325#2446C2×C4311yescharacteristic, complemented
326D4×C4⋊C4C2×C4311yescharacteristic
327#2096C2×C4311yescharacteristic, complemented
328#2088C2×C4311yescharacteristic, complemented
329#2072C2×C4311yescharacteristic, complemented
330#2043C2×C4311yescharacteristic, complemented
331#1933C2×C4311yescharacteristic, complemented
332#1916C2×C4311yescharacteristic, complemented
333#1877C2×C4311yescharacteristic
334#1877C2×C4311yescharacteristic
335#1877C2×C4311yescharacteristic
336#1865C2×C4311yescharacteristic, complemented
337#1864C2×C4311yescharacteristic
338C2×C43—44no—
339C2×C43#244311yescharacteristic
340C2×C43#310111yescharacteristic
341C2×C43#312011yescharacteristic
342C2×C43#326911yescharacteristic
343C2×C43D4×SD1611yescharacteristic
344C2×C43#335911yescharacteristic
345C2×C43#337611yescharacteristic
346C22×SD16C22×C4311yescharacteristic
347C22×SD16C22×C4311yescharacteristic
348C2×C4⋊Q8C22×C4311yescharacteristic
349C2×C4×Q8C22×C4311yescharacteristic
350C2×C4×D4C22×C4311yescharacteristic
351C2×C4×D4C22×C4311yescharacteristic
352C2×C4×D4C22×C4311yescharacteristic
353C22×C4⋊C4—21no—
354#461—24no—
355C4×SD16—24no—
356C2×#106C22×C4311yescharacteristic
357C2×#106C22×C4311yescharacteristic
358C2×C4⋊C8C22×C4311yescharacteristic
359C2×#103C22×C4311yescharacteristic
360C2×#103C22×C4311yescharacteristic
361C2×#103C22×C4311yescharacteristic
362C2×#103C22×C4311yescharacteristic
363C2×#103C22×C4311yescharacteristic
364C2×#103C22×C4311yescharacteristic
365C2×#102C22×C4311yescharacteristic
366C2×#102C22×C4311yescharacteristic
367C2×C4×C8C22×C4311yescharacteristic
368#400—21no—
369#398—21no—
370#391C22×C4311yescharacteristic
371#391C22×C4311yescharacteristic
372#391C22×C4311yescharacteristic
373#389C22×C4311yescharacteristic
374#389C22×C4311yescharacteristic
375#389C22×C4311yescharacteristic
376#387—21no—
377#387—21no—
378#385—21no—
379#385—21no—
380#384C22×C4311yescharacteristic
381#380—21no—
382C4×C4⋊C4C22×C4311yescharacteristic
383#340C22×C4311yescharacteristic
384#340C22×C4311yescharacteristic
385#340C22×C4311yescharacteristic
386#340C22×C4311yescharacteristic
387#336C22×C4311yescharacteristic
388#336C22×C4311yescharacteristic
389#336C22×C4311yescharacteristic
390#336C22×C4311yescharacteristic
391C43#2616611yescharacteristic, direct product factor, Sylow
392C22×Q8C23×C4311yescharacteristic
393C22×Q8C23×C4311yescharacteristic
394C22×D4C23×C4311yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C2×SD16—22no—
399C2×SD16—22no—
400C2×SD16—22no—
401C2×SD16—22no—
402C2×SD16—22no—
403C2×SD16D4×C4314yes—
404C22×C8C23×C4311yescharacteristic
405C22×C8C23×C4311yescharacteristic
406C22×C8C23×C4311yescharacteristic
407C22×C8C23×C4311yescharacteristic
408C4⋊Q8—22no—
409C4⋊Q8—41no—
410C4×Q8—22no—
411C4×Q8—41no—
412C4×D4—22no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4—41no—
417C4×D4—41no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—44no—
427C2×C4⋊C4D4×C4311yescharacteristic
428C2×C4⋊C4D4×C4311yescharacteristic
429C2×C4⋊C4C23×C4311yescharacteristic
430C2×C4⋊C4C23×C4311yescharacteristic
431C2×C4⋊C4C23×C4311yescharacteristic
432C2×C4⋊C4C23×C4311yescharacteristic
433C2×C4⋊C4C23×C4311yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C42—21no—
438C2×C42C23×C4311yescharacteristic
439C2×C42C23×C4311yescharacteristic
440C2×C42C23×C4311yescharacteristic
441#106—22no—
442#106—41no—
443C4⋊C8—22no—
444#103—22no—
445#103—22no—
446#103—22no—
447#103—22no—
448#103—22no—
449#103—41no—
450#102—22no—
451#102—22no—
452C4×C8—22no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95D4×C4311yescharacteristic
463#95D4×C4311yescharacteristic
464C24—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8C2×D4×C4312yes—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4C2×D4×C4312yes—
481C2×D4#41×C4312yes—
482C2×D4#41×C4312yes—
483C22×C4—24no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4C2×D4×C4311yescharacteristic
500C22×C4C2×D4×C4311yescharacteristic
501C22×C4C2×D4×C4311yescharacteristic
502C22×C4C2×D4×C4311yescharacteristic
503C22×C4C2×D4×C4311yescharacteristic
504C22×C4C2×D4×C4311yescharacteristic
505C22×C4C24×C4311yescharacteristic
506SD16—28no—
507SD16—44no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8C2×D4×C4312yes—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—41no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—81no—
538C4⋊C4SD16×C4314yescomplemented
539C4⋊C4#41×C4312yes—
540C22⋊C4—24no—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C42—21no—
544C42—21no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—42no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23C22×D4×C4311yescharacteristic
558Q8—22no—
559Q8—22no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564Q8—41no—
565Q8—41no—
566D4—22no—
567D4—22no—
568D4—22no—
569D4#123×C4314yes—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—48no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—84no—
608C2×C4—84no—
609C2×C4C2×SD16×C4312yes—
610C2×C4C2×SD16×C4312yes—
611C2×C4C2×SD16×C4312yes—
612C2×C4C22×D4×C4311yescharacteristic
613C2×C4C2×#41×C4311yescharacteristic
614C2×C4C2×#41×C4311yescharacteristic
615C2×C4C2×#41×C4311yescharacteristic
616C2×C4H(5,𝔽2)×C4311yescharacteristic
617C2×C42−1+4×C4311yescharacteristic
618C8—22no—
619C8—41no—
620C8—41no—
621C8—41no—
622C22—24no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22C43×#52511yescharacteristic
630C22D42×C4311yescharacteristic
631C22C43×#54811yescharacteristic
632C22C22×SD16×C4311yescharacteristic
633C22C43×#57511yescharacteristic
634C22C43×#57711yescharacteristic
635C22C43×#57811yescharacteristic
636C4—22no—
637C4—22no—
638C4—22no—
639C4—42no—
640C4—41no—
641C4—42no—
642C4—41no—
643C4—41no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4C2×#123×C4311yescharacteristic
650C4C43×#53911yescharacteristic
651C4C43×#54711yescharacteristic
652C4C43×#55311yescharacteristic
653C2—44no—
654C2C43×#244311yescharacteristic
655C2C43×#310111yescharacteristic
656C2C43×#312011yescharacteristic
657C2C43×#326911yescharacteristic
658C2D4×SD16×C4311yescharacteristic
659C2C43×#335911yescharacteristic
660C2C43×#337611yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC22×D4×C43C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C4×C4⋊C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
3. C43×#2446C2semidirect
5. C43×#2096C2semidirect
6. C43×#2088C2semidirect
7. C43×#2072C2semidirect
8. C43×#2043C2semidirect
9. C43×#1933C2semidirect
10. C43×#1916C2semidirect
14. C43×#1865C2semidirect
207. C4⋊C4×C43SD16semidirect
291. #26166C43direct (N × H)
325. #2446C2×C43semidirect
327. #2096C2×C43semidirect
328. #2088C2×C43semidirect
329. #2072C2×C43semidirect
330. #2043C2×C43semidirect
331. #1933C2×C43semidirect
332. #1916C2×C43semidirect
336. #1865C2×C43semidirect
391. C43#26166direct (N × H)
538. C4⋊C4SD16×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#4612
C2×C4×SD16×C432
C43×#24462
D4×C4⋊C4×C432
C43×#20962
C43×#20882
C43×#20722
C43×#20432
C43×#19332
C43×#19162
C43×#18772
C43×#18652
C43×#18642
#2616643