Finite Group Databasebeta

← C43×#24262 #24944279

Subgroups — C43×#24262 #24944279

Order 11008.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3496C211yesmaximal, characteristic, complemented
2C2×C43×B(4,𝔽2)C212yesmaximal, complemented
3C43×#2617C212yesmaximal, complemented
4C43×#2321C211yesmaximal, characteristic, complemented
5C43×#2044C212yesmaximal, complemented
6C43×#2021C212yesmaximal, complemented
7C43×#1964C212yesmaximal, complemented
8C43×#1799C211yesmaximal, characteristic, complemented
9C43×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C43C2212yes—
11C43×#547—22no—
12C43×#546—24no—
13D42×C43—22no—
14C43×#537—21no—
15C43×#534—21no—
16C43×#534C2212yes—
17C43×#532—21no—
18C2×#121×C43—21no—
19C2×#121×C43C2212yes—
20C2×#120×C43C2211yescharacteristic
21C2×#120×C43C2214yescomplemented
22C2×C4×D4×C43C2211yescharacteristic
23C22×C22⋊C4×C43C2211yescharacteristic, complemented
24C43×B(4,𝔽2)—28no—
25C2×#99×C43C2212yes—
26C2×#99×C43C2214yescomplemented
27C2×#99×C43C2214yescomplemented
28C43×#397—22no—
29C43×#394—24no—
30C43×#392—22no—
31C43×#390—21no—
32C43×#388—21no—
33C43×#388—21no—
34C43×#386—21no—
35C43×#386C2211yescharacteristic
36C43×#386C2214yescomplemented
37C43×#385C2211yescharacteristic, complemented
38C43×#380C2212yescomplemented
39C43×#379C2211yescharacteristic, complemented
40C4×C22⋊C4×C43C2211yescharacteristic, complemented
41C43×#342C2212yescomplemented
42C25×C43C2311yescharacteristic
43H(5,𝔽2)×C43—24no—
44H(5,𝔽2)×C43—24no—
45H(5,𝔽2)×C43—44no—
46C2×#41×C43—22no—
47C2×#41×C43—24no—
48C22×D4×C43—22no—
49C22×D4×C43—24no—
50C22×D4×C43—21no—
51C22×D4×C43—21no—
52C22×D4×C43—24no—
53C22×D4×C43D412yescomplemented
54C22×D4×C43C2314yes—
55C22×D4×C43C2311yescharacteristic
56C23×C4×C43D411yescharacteristic, complemented
57C23×C4×C43C2311yescharacteristic
58C23×C4×C43C2311yescharacteristic
59C4⋊Q8×C43—21no—
60#127×C43—21no—
61#124×C43—22no—
62#123×C43—24no—
63#123×C43—24no—
64C22⋊Q8×C43—24no—
65#121×C43—22no—
66#121×C43—22no—
67#121×C43—24no—
68#121×C43—22no—
69#121×C43—22no—
70#121×C43—22no—
71#121×C43—22no—
72#121×C43—22no—
73#121×C43—22no—
74#120×C43—24no—
75#120×C43—24no—
76#120×C43—22no—
77#120×C43—28no—
78#120×C43—44no—
79#120×C43D414yescomplemented
80C4×D4×C43—22no—
81C4×D4×C43—22no—
82C4×D4×C43—22no—
83C4×D4×C43—22no—
84C2×C4⋊C4×C43—21no—
85C2×C4⋊C4×C43—22no—
86C2×C4⋊C4×C43—21no—
87C2×C4⋊C4×C43D411yescharacteristic, complemented
88C2×C4⋊C4×C43D412yescomplemented
89C2×C22⋊C4×C43—22no—
90C2×C22⋊C4×C43—21no—
91C2×C22⋊C4×C43—21no—
92C2×C22⋊C4×C43—21no—
93C2×C22⋊C4×C43—22no—
94C2×C22⋊C4×C43—22no—
95C2×C22⋊C4×C43—24no—
96C2×C22⋊C4×C43—21no—
97C2×C22⋊C4×C43—24no—
98C2×C22⋊C4×C43—21no—
99C2×C22⋊C4×C43—21no—
100C2×C22⋊C4×C43D411yescharacteristic, complemented
101C2×C22⋊C4×C43D414yescomplemented
102C2×C22⋊C4×C43C2314yes—
103C2×C22⋊C4×C43C2311yescharacteristic
104C2×C22⋊C4×C43C2311yescharacteristic
105C2×C22⋊C4×C43C2311yescharacteristic
106C2×C42×C43—21no—
107C2×C42×C43D411yescharacteristic, complemented
108#99×C43—24no—
109#99×C43—28no—
110#99×C43—44no—
111#95×C43—21no—
112#95×C43—22no—
113#95×C43—21no—
114#95×C43—21no—
115#95×C43—24no—
116C24×C43—22no—
117C24×C43—21no—
118C24×C43—22no—
119C24×C43—21no—
120C24×C43—22no—
121C24×C43—81no—
122C24×C43—81no—
123C24×C43C2×D414yes—
124C24×C43C2×D411yescharacteristic
125C24×C43C2×D412yescomplemented
126C24×C43C2411yescharacteristic
127#41×C43—48no—
128#41×C43—48no—
129#41×C43—44no—
130#41×C43—44no—
131C2×Q8×C43—22no—
132C2×D4×C43—24no—
133C2×D4×C43—22no—
134C2×D4×C43—22no—
135C2×D4×C43—22no—
136C2×D4×C43—22no—
137C2×D4×C43—22no—
138C2×D4×C43—24no—
139C2×D4×C43—22no—
140C2×D4×C43—24no—
141C2×D4×C43—24no—
142C2×D4×C43—24no—
143C2×D4×C43—24no—
144C2×D4×C43—22no—
145C2×D4×C43—24no—
146C2×D4×C43—24no—
147C2×D4×C43—48no—
148C2×D4×C43—48no—
149C2×D4×C43—48no—
150C2×D4×C43—44no—
151C2×D4×C43—44no—
152C2×D4×C43—82no—
153C2×D4×C43—81no—
154C2×D4×C43—81no—
155C2×D4×C43—84no—
156C2×D4×C43—84no—
157C2×D4×C43—82no—
158C2×D4×C43C2×D412yes—
159C2×D4×C43#4112yes—
160C22×C4×C43—22no—
161C22×C4×C43—24no—
162C22×C4×C43—21no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—22no—
167C22×C4×C43—21no—
168C22×C4×C43—24no—
169C22×C4×C43—81no—
170C22×C4×C43—81no—
171C22×C4×C43—81no—
172C22×C4×C43C2×D414yes—
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D411yescharacteristic
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43C2×D411yescharacteristic
177C22×C4×C43C2×D412yes—
178C22×C4×C43C2×D411yescharacteristic
179C22×C4×C43C2×D412yes—
180C4⋊C4×C43—22no—
181C4⋊C4×C43—22no—
182C4⋊C4×C43—22no—
183C4⋊C4×C43—22no—
184C4⋊C4×C43—22no—
185C4⋊C4×C43—82no—
186C4⋊C4×C43—81no—
187C22⋊C4×C43—24no—
188C22⋊C4×C43—24no—
189C22⋊C4×C43—24no—
190C22⋊C4×C43—22no—
191C22⋊C4×C43—24no—
192C22⋊C4×C43—24no—
193C22⋊C4×C43—22no—
194C22⋊C4×C43—24no—
195C22⋊C4×C43—21no—
196C22⋊C4×C43—22no—
197C22⋊C4×C43—24no—
198C22⋊C4×C43—48no—
199C22⋊C4×C43—41no—
200C22⋊C4×C43—41no—
201C22⋊C4×C43—42no—
202C22⋊C4×C43—81no—
203C22⋊C4×C43—81no—
204C22⋊C4×C43—81no—
205C22⋊C4×C43—84no—
206C22⋊C4×C43C2×D412yescomplemented
207C42×C43—21no—
208C42×C43—21no—
209C42×C43—81no—
210C23×C43—21no—
211C23×C43—21no—
212C23×C43—24no—
213C23×C43—22no—
214C23×C43—24no—
215C23×C43—24no—
216C23×C43—24no—
217C23×C43—41no—
218C23×C43—41no—
219C23×C43—41no—
220C23×C43—41no—
221C23×C43—41no—
222C23×C43—41no—
223C23×C43—44no—
224C23×C43—41no—
225C23×C43—44no—
226C23×C43—41no—
227C23×C43—44no—
228C23×C43—44no—
229C23×C43—44no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—42no—
233C23×C43—82no—
234C23×C43—82no—
235C23×C43—84no—
236C23×C43—82no—
237C23×C43—82no—
238C23×C43#12112yes—
239C23×C43C22×D411yescharacteristic
240C23×C43C22×D412yes—
241C23×C43C22×D411yescharacteristic
242C23×C43C2×#4111yescharacteristic
243C23×C43H(5,𝔽2)12yes—
244Q8×C43—44no—
245D4×C43—24no—
246D4×C43—24no—
247D4×C43—44no—
248D4×C43—44no—
249D4×C43—48no—
250D4×C43—44no—
251D4×C43—44no—
252D4×C43—44no—
253D4×C43—44no—
254D4×C43—82no—
255D4×C43—82no—
256D4×C43—84no—
257D4×C43—82no—
258D4×C43—816no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—24no—
264C2×C4×C43—22no—
265C2×C4×C43—24no—
266C2×C4×C43—24no—
267C2×C4×C43—41no—
268C2×C4×C43—42no—
269C2×C4×C43—41no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—48no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—44no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—44no—
281C2×C4×C43—41no—
282C2×C4×C43—44no—
283C2×C4×C43—41no—
284C2×C4×C43—44no—
285C2×C4×C43—41no—
286C2×C4×C43—41no—
287C2×C4×C43—44no—
288C2×C4×C43—81no—
289C2×C4×C43#12011yescharacteristic
290C2×C4×C43#12011yescharacteristic
291C2×C4×C43#12012yes—
292C2×C4×C43#12112yes—
293#24262C4311yesmaximal, characteristic, direct product factor, Sylow
294C22×C43—22no—
295C22×C43—21no—
296C22×C43—22no—
297C22×C43—21no—
298C22×C43—22no—
299C22×C43—41no—
300C22×C43—41no—
301C22×C43—42no—
302C22×C43—42no—
303C22×C43—42no—
304C22×C43—42no—
305C22×C43—48no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43—42no—
309C22×C43—44no—
310C22×C43—44no—
311C22×C43—44no—
312C22×C43—81no—
313C22×C43—84no—
314C22×C43—84no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—84no—
318C22×C43—81no—
319C22×C43—81no—
320C22×C43—164no—
321C22×C43C2×#12011yescharacteristic
322C22×C43C2×#12111yescharacteristic
323C22×C43#53511yescharacteristic
324C22×C43D4212yes—
325C22×C43#54612yes—
326C4×C43—22no—
327C4×C43—21no—
328C4×C43—21no—
329C4×C43—22no—
330C4×C43—42no—
331C4×C43—44no—
332C4×C43—41no—
333C4×C43—41no—
334C4×C43—81no—
335C4×C43—84no—
336C4×C43—81no—
337#3496C2×C4311yescharacteristic, complemented
338C2×B(4,𝔽2)C2×C4312yescomplemented
339#2617C2×C4312yescomplemented
340#2321C2×C4311yescharacteristic, complemented
341#2044C2×C4312yescomplemented
342#2021C2×C4312yescomplemented
343#1964C2×C4312yescomplemented
344#1799C2×C4311yescharacteristic, complemented
345#1790C2×C4312yescomplemented
346C2×C43—21no—
347C2×C43—22no—
348C2×C43—21no—
349C2×C43—22no—
350C2×C43—42no—
351C2×C43—82no—
352C2×C43—84no—
353C2×C43#240811yescharacteristic
354C2×C43#302611yescharacteristic
355C2×C43#302711yescharacteristic
356C2×H(5,𝔽2)C22×C4312yes—
357#547—22no—
358#546—24no—
359D42—22no—
360#537—21no—
361#534—21no—
362#534C22×C4312yes—
363#532—21no—
364C2×#121—21no—
365C2×#121C22×C4312yes—
366C2×#120C22×C4311yescharacteristic
367C2×#120C22×C4314yescomplemented
368C2×C4×D4C22×C4311yescharacteristic
369C22×C22⋊C4C22×C4311yescharacteristic, complemented
370B(4,𝔽2)—28no—
371C2×#99C22×C4312yes—
372C2×#99C22×C4314yescomplemented
373C2×#99C22×C4314yescomplemented
374#397—22no—
375#394—24no—
376#392—22no—
377#390—21no—
378#388—21no—
379#388—21no—
380#386—21no—
381#386C22×C4311yescharacteristic
382#386C22×C4314yescomplemented
383#385C22×C4311yescharacteristic, complemented
384#380C22×C4312yescomplemented
385#379C22×C4311yescharacteristic, complemented
386C4×C22⋊C4C22×C4311yescharacteristic, complemented
387#342C22×C4312yescomplemented
388C43#2426211yescharacteristic, direct product factor, Sylow
389C25C23×C4311yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C4312yescomplemented
401C22×D4C23×C4314yes—
402C22×D4C23×C4311yescharacteristic
403C23×C4D4×C4311yescharacteristic, complemented
404C23×C4C23×C4311yescharacteristic
405C23×C4C23×C4311yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C4314yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C4311yescharacteristic, complemented
435C2×C4⋊C4D4×C4312yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C4311yescharacteristic, complemented
448C2×C22⋊C4D4×C4314yescomplemented
449C2×C22⋊C4C23×C4314yes—
450C2×C22⋊C4C23×C4311yescharacteristic
451C2×C22⋊C4C23×C4311yescharacteristic
452C2×C22⋊C4C23×C4311yescharacteristic
453C2×C42—21no—
454C2×C42D4×C4311yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C4314yes—
471C24C2×D4×C4311yescharacteristic
472C24C2×D4×C4312yescomplemented
473C24C24×C4311yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C4312yes—
506C2×D4#41×C4312yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C4314yes—
520C22×C4C2×D4×C4311yescharacteristic
521C22×C4C2×D4×C4311yescharacteristic
522C22×C4C2×D4×C4311yescharacteristic
523C22×C4C2×D4×C4311yescharacteristic
524C22×C4C2×D4×C4312yes—
525C22×C4C2×D4×C4311yescharacteristic
526C22×C4C2×D4×C4312yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C4312yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C4312yes—
586C23C22×D4×C4311yescharacteristic
587C23C22×D4×C4312yes—
588C23C22×D4×C4311yescharacteristic
589C23C2×#41×C4311yescharacteristic
590C23H(5,𝔽2)×C4312yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C4311yescharacteristic
637C2×C4#120×C4311yescharacteristic
638C2×C4#120×C4312yes—
639C2×C4#121×C4312yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C4311yescharacteristic
668C22C2×#121×C4311yescharacteristic
669C22C43×#53511yescharacteristic
670C22D42×C4312yes—
671C22C43×#54612yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C43×#240811yescharacteristic
691C2C43×#302611yescharacteristic
692C2C43×#302711yescharacteristic
subgroupG/H
center, socleC22×C43C2×#120
commutator, Frattini, cosocleC24C24×C43
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C23×C4×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3496C2semidirect
2. C2×C43×B(4,𝔽2)C2semidirect
3. C43×#2617C2semidirect
4. C43×#2321C2semidirect
5. C43×#2044C2semidirect
6. C43×#2021C2semidirect
7. C43×#1964C2semidirect
8. C43×#1799C2semidirect
9. C43×#1790C2semidirect
21. C2×#120×C43C22semidirect
23. C22×C22⋊C4×C43C22semidirect
26. C2×#99×C43C22semidirect
27. C2×#99×C43C22semidirect
36. C43×#386C22semidirect
37. C43×#385C22semidirect
38. C43×#380C22semidirect
39. C43×#379C22semidirect
40. C4×C22⋊C4×C43C22semidirect
41. C43×#342C22semidirect
53. C22×D4×C43D4semidirect
56. C23×C4×C43D4semidirect
79. #120×C43D4semidirect
87. C2×C4⋊C4×C43D4semidirect
88. C2×C4⋊C4×C43D4semidirect
100. C2×C22⋊C4×C43D4semidirect
101. C2×C22⋊C4×C43D4semidirect
107. C2×C42×C43D4semidirect
125. C24×C43C2×D4semidirect
206. C22⋊C4×C43C2×D4semidirect
293. #24262C43direct (N × H)
337. #3496C2×C43semidirect
338. C2×B(4,𝔽2)C2×C43semidirect
339. #2617C2×C43semidirect
340. #2321C2×C43semidirect
341. #2044C2×C43semidirect
342. #2021C2×C43semidirect
343. #1964C2×C43semidirect
344. #1799C2×C43semidirect
345. #1790C2×C43semidirect
367. C2×#120C22×C43semidirect
369. C22×C22⋊C4C22×C43semidirect
372. C2×#99C22×C43semidirect
373. C2×#99C22×C43semidirect
382. #386C22×C43semidirect
383. #385C22×C43semidirect
384. #380C22×C43semidirect
385. #379C22×C43semidirect
386. C4×C22⋊C4C22×C43semidirect
387. #342C22×C43semidirect
388. C43#24262direct (N × H)
400. C22×D4D4×C43semidirect
403. C23×C4D4×C43semidirect
426. #120D4×C43semidirect
434. C2×C4⋊C4D4×C43semidirect
435. C2×C4⋊C4D4×C43semidirect
447. C2×C22⋊C4D4×C43semidirect
448. C2×C22⋊C4D4×C43semidirect
454. C2×C42D4×C43semidirect
472. C24C2×D4×C43semidirect
553. C22⋊C4C2×D4×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#34962
C2×C43×B(4,𝔽2)2
C43×#26172
C43×#23212
C43×#20442
C43×#20212
C43×#19642
C43×#17992
C43×#17902
#2426243