Finite Group Databasebeta

← C43×#25773 #24945790

Subgroups — C43×#25773 #24945790

Order 11008.

1770 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3496C211yesmaximal, characteristic, complemented
2C2×C43×#458C212yesmaximal, complemented
3C2×C43×B(4,𝔽2)C212yesmaximal, complemented
4C43×#2539C212yesmaximal, complemented
5C43×#2534C211yesmaximal, characteristic, complemented
6C43×#2022C212yesmaximal, complemented
7C43×#2021C212yesmaximal, complemented
8C43×#1964C212yesmaximal, complemented
9C4×#99×C43C211yesmaximal, characteristic, 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×#123×C43C2211yescharacteristic
19C2×#123×C43C2214yescomplemented
20C2×#121×C43—21no—
21C2×#121×C43C2212yes—
22C2×#120×C43C2211yescharacteristic
23C2×#120×C43C2214yescomplemented
24C2×C4×D4×C43C2211yescharacteristic
25C22×C22⋊C4×C43C2211yescharacteristic, complemented
26C43×#458—28no—
27C43×B(4,𝔽2)—28no—
28C2×#99×C43C2212yes—
29C2×#99×C43C2214yescomplemented
30C2×#99×C43C2214yescomplemented
31C43×#399—22no—
32C43×#396—21no—
33C43×#394—21no—
34C43×#392—22no—
35C43×#390—24no—
36C43×#388—21no—
37C43×#386—21no—
38C43×#381C2211yescharacteristic, complemented
39C43×#380C2211yescharacteristic, complemented
40C43×#379C2211yescharacteristic, complemented
41C4×C22⋊C4×C43C2212yescomplemented
42C43×#342C2212yescomplemented
43C25×C43C2311yescharacteristic
44H(5,𝔽2)×C43—24no—
45H(5,𝔽2)×C43—24no—
46H(5,𝔽2)×C43—44no—
47C2×#41×C43—22no—
48C2×#41×C43—24no—
49C22×D4×C43—22no—
50C22×D4×C43—24no—
51C22×D4×C43—21no—
52C22×D4×C43—21no—
53C22×D4×C43—24no—
54C22×D4×C43D412yescomplemented
55C22×D4×C43C2314yes—
56C22×D4×C43C2311yescharacteristic
57C23×C4×C43D411yescharacteristic, complemented
58C23×C4×C43C2311yescharacteristic
59C23×C4×C43C2311yescharacteristic
60C4⋊Q8×C43—21no—
61#127×C43—21no—
62#124×C43—22no—
63#123×C43—24no—
64#123×C43—24no—
65#123×C43—24no—
66#123×C43—28no—
67#123×C43—44no—
68C22⋊Q8×C43—24no—
69#121×C43—22no—
70#121×C43—22no—
71#121×C43—24no—
72#121×C43—22no—
73#121×C43—22no—
74#121×C43—22no—
75#121×C43—22no—
76#121×C43—22no—
77#121×C43—22no—
78#120×C43—24no—
79#120×C43—24no—
80#120×C43—24no—
81#120×C43—28no—
82#120×C43—44no—
83C4×D4×C43—22no—
84C4×D4×C43—22no—
85C4×D4×C43—22no—
86C4×D4×C43—22no—
87C2×C4⋊C4×C43—21no—
88C2×C4⋊C4×C43—21no—
89C2×C4⋊C4×C43—24no—
90C2×C4⋊C4×C43—21no—
91C2×C4⋊C4×C43D411yescharacteristic, complemented
92C2×C4⋊C4×C43D412yescomplemented
93C2×C22⋊C4×C43—22no—
94C2×C22⋊C4×C43—21no—
95C2×C22⋊C4×C43—24no—
96C2×C22⋊C4×C43—21no—
97C2×C22⋊C4×C43—22no—
98C2×C22⋊C4×C43—22no—
99C2×C22⋊C4×C43—21no—
100C2×C22⋊C4×C43—21no—
101C2×C22⋊C4×C43—24no—
102C2×C22⋊C4×C43—21no—
103C2×C22⋊C4×C43—21no—
104C2×C22⋊C4×C43D411yescharacteristic, complemented
105C2×C22⋊C4×C43D414yescomplemented
106C2×C22⋊C4×C43C2311yescharacteristic
107C2×C22⋊C4×C43C2311yescharacteristic
108C2×C22⋊C4×C43C2311yescharacteristic
109C2×C22⋊C4×C43C2314yes—
110C2×C42×C43—22no—
111C2×C42×C43D411yescharacteristic, complemented
112#99×C43—28no—
113#99×C43—28no—
114#99×C43D418yescomplemented
115#95×C43—22no—
116#95×C43—21no—
117#95×C43—21no—
118#95×C43—21no—
119C24×C43—22no—
120C24×C43—21no—
121C24×C43—22no—
122C24×C43—22no—
123C24×C43—22no—
124C24×C43—42no—
125C24×C43—81no—
126C24×C43C2×D414yes—
127C24×C43C2×D411yescharacteristic
128C24×C43C2411yescharacteristic
129#41×C43—48no—
130#41×C43—48no—
131#41×C43—44no—
132#41×C43—44no—
133C2×Q8×C43—22no—
134C2×D4×C43—24no—
135C2×D4×C43—22no—
136C2×D4×C43—22no—
137C2×D4×C43—22no—
138C2×D4×C43—22no—
139C2×D4×C43—22no—
140C2×D4×C43—22no—
141C2×D4×C43—24no—
142C2×D4×C43—24no—
143C2×D4×C43—24no—
144C2×D4×C43—24no—
145C2×D4×C43—22no—
146C2×D4×C43—24no—
147C2×D4×C43—24no—
148C2×D4×C43—48no—
149C2×D4×C43—48no—
150C2×D4×C43—48no—
151C2×D4×C43—44no—
152C2×D4×C43—42no—
153C2×D4×C43—48no—
154C2×D4×C43—44no—
155C2×D4×C43—42no—
156C2×D4×C43—82no—
157C2×D4×C43—81no—
158C2×D4×C43—84no—
159C2×D4×C43—82no—
160C2×D4×C43C2×D414yes—
161C22×C4×C43—22no—
162C22×C4×C43—24no—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—24no—
166C22×C4×C43—21no—
167C22×C4×C43—21no—
168C22×C4×C43—21no—
169C22×C4×C43—22no—
170C22×C4×C43—22no—
171C22×C4×C43—22no—
172C22×C4×C43—81no—
173C22×C4×C43—81no—
174C22×C4×C43C2×D414yes—
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43C2×D411yescharacteristic
177C22×C4×C43C2×D411yescharacteristic
178C22×C4×C43C2×D411yescharacteristic
179C22×C4×C43C2×D412yes—
180C22×C4×C43C2×D412yes—
181C22×C4×C43C2×D411yescharacteristic
182C4⋊C4×C43—22no—
183C4⋊C4×C43—22no—
184C4⋊C4×C43—22no—
185C4⋊C4×C43—22no—
186C4⋊C4×C43—22no—
187C4⋊C4×C43—48no—
188C4⋊C4×C43—42no—
189C4⋊C4×C43—81no—
190C22⋊C4×C43—24no—
191C22⋊C4×C43—24no—
192C22⋊C4×C43—24no—
193C22⋊C4×C43—22no—
194C22⋊C4×C43—24no—
195C22⋊C4×C43—22no—
196C22⋊C4×C43—22no—
197C22⋊C4×C43—22no—
198C22⋊C4×C43—24no—
199C22⋊C4×C43—48no—
200C22⋊C4×C43—42no—
201C22⋊C4×C43—48no—
202C22⋊C4×C43—41no—
203C22⋊C4×C43—41no—
204C22⋊C4×C43—42no—
205C22⋊C4×C43—42no—
206C22⋊C4×C43—42no—
207C22⋊C4×C43—81no—
208C22⋊C4×C43C2×D418yescomplemented
209C42×C43—21no—
210C42×C43—21no—
211C42×C43—82no—
212C23×C43—21no—
213C23×C43—21no—
214C23×C43—22no—
215C23×C43—24no—
216C23×C43—24no—
217C23×C43—24no—
218C23×C43—24no—
219C23×C43—41no—
220C23×C43—41no—
221C23×C43—41no—
222C23×C43—41no—
223C23×C43—41no—
224C23×C43—44no—
225C23×C43—41no—
226C23×C43—42no—
227C23×C43—41no—
228C23×C43—44no—
229C23×C43—44no—
230C23×C43—44no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—44no—
235C23×C43—84no—
236C23×C43—84no—
237C23×C43—82no—
238C23×C43—82no—
239C23×C43#12712yes—
240C23×C43C22×D411yescharacteristic
241C23×C43C22×D412yes—
242C23×C43C22×D412yes—
243C23×C43H(5,𝔽2)12yes—
244Q8×C43—44no—
245D4×C43—28no—
246D4×C43—44no—
247D4×C43—44no—
248D4×C43—48no—
249D4×C43—44no—
250D4×C43—44no—
251D4×C43—44no—
252D4×C43—44no—
253D4×C43—82no—
254D4×C43—82no—
255D4×C43—82no—
256D4×C43—816no—
257D4×C43—84no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—24no—
263C2×C4×C43—28no—
264C2×C4×C43—24no—
265C2×C4×C43—24no—
266C2×C4×C43—42no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—48no—
272C2×C4×C43—44no—
273C2×C4×C43—44no—
274C2×C4×C43—44no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43—41no—
280C2×C4×C43—41no—
281C2×C4×C43—41no—
282C2×C4×C43—41no—
283C2×C4×C43—41no—
284C2×C4×C43—41no—
285C2×C4×C43—41no—
286C2×C4×C43—44no—
287C2×C4×C43—81no—
288C2×C4×C43#12011yescharacteristic
289C2×C4×C43#12011yescharacteristic
290C2×C4×C43#12012yes—
291C2×C4×C43#12712yes—
292#25773C4311yesmaximal, characteristic, direct product factor, Sylow
293C22×C43—22no—
294C22×C43—21no—
295C22×C43—22no—
296C22×C43—21no—
297C22×C43—22no—
298C22×C43—42no—
299C22×C43—42no—
300C22×C43—42no—
301C22×C43—42no—
302C22×C43—48no—
303C22×C43—42no—
304C22×C43—41no—
305C22×C43—41no—
306C22×C43—44no—
307C22×C43—42no—
308C22×C43—44no—
309C22×C43—44no—
310C22×C43—81no—
311C22×C43—84no—
312C22×C43—84no—
313C22×C43—84no—
314C22×C43—81no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—164no—
319C22×C43C2×#12011yescharacteristic
320C22×C43C2×#12711yescharacteristic
321C22×C43#53511yescharacteristic
322C22×C43D4214yes—
323C4×C43—22no—
324C4×C43—21no—
325C4×C43—21no—
326C4×C43—22no—
327C4×C43—48no—
328C4×C43—44no—
329C4×C43—41no—
330C4×C43—41no—
331C4×C43—81no—
332C4×C43—81no—
333C4×C43—81no—
334#3496C2×C4311yescharacteristic, complemented
335C2×#458C2×C4312yescomplemented
336C2×B(4,𝔽2)C2×C4312yescomplemented
337#2539C2×C4312yescomplemented
338#2534C2×C4311yescharacteristic, complemented
339#2022C2×C4312yescomplemented
340#2021C2×C4312yescomplemented
341#1964C2×C4312yescomplemented
342C4×#99C2×C4311yescharacteristic, complemented
343C2×C43—24no—
344C2×C43—21no—
345C2×C43—21no—
346C2×C43—42no—
347C2×C43—82no—
348C2×C43—84no—
349C2×C43#243311yescharacteristic
350C2×C43#302511yescharacteristic
351C2×C43#302611yescharacteristic
352C2×H(5,𝔽2)C22×C4312yes—
353#547—22no—
354#546—24no—
355D42—22no—
356#537—21no—
357#534—21no—
358#534C22×C4312yes—
359#532—21no—
360C2×#123C22×C4311yescharacteristic
361C2×#123C22×C4314yescomplemented
362C2×#121—21no—
363C2×#121C22×C4312yes—
364C2×#120C22×C4311yescharacteristic
365C2×#120C22×C4314yescomplemented
366C2×C4×D4C22×C4311yescharacteristic
367C22×C22⋊C4C22×C4311yescharacteristic, complemented
368#458—28no—
369B(4,𝔽2)—28no—
370C2×#99C22×C4312yes—
371C2×#99C22×C4314yescomplemented
372C2×#99C22×C4314yescomplemented
373#399—22no—
374#396—21no—
375#394—21no—
376#392—22no—
377#390—24no—
378#388—21no—
379#386—21no—
380#381C22×C4311yescharacteristic, complemented
381#380C22×C4311yescharacteristic, complemented
382#379C22×C4311yescharacteristic, complemented
383C4×C22⋊C4C22×C4312yescomplemented
384#342C22×C4312yescomplemented
385C43#2577311yescharacteristic, direct product factor, Sylow
386C25C23×C4311yescharacteristic
387H(5,𝔽2)—24no—
388H(5,𝔽2)—24no—
389H(5,𝔽2)—44no—
390C2×#41—22no—
391C2×#41—24no—
392C22×D4—22no—
393C22×D4—24no—
394C22×D4—21no—
395C22×D4—21no—
396C22×D4—24no—
397C22×D4D4×C4312yescomplemented
398C22×D4C23×C4314yes—
399C22×D4C23×C4311yescharacteristic
400C23×C4D4×C4311yescharacteristic, complemented
401C23×C4C23×C4311yescharacteristic
402C23×C4C23×C4311yescharacteristic
403C4⋊Q8—21no—
404#127—21no—
405#124—22no—
406#123—24no—
407#123—24no—
408#123—24no—
409#123—28no—
410#123—44no—
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—24no—
424#120—28no—
425#120—44no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—24no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C4311yescharacteristic, complemented
435C2×C4⋊C4D4×C4312yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—21no—
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×C4311yescharacteristic
450C2×C22⋊C4C23×C4311yescharacteristic
451C2×C22⋊C4C23×C4311yescharacteristic
452C2×C22⋊C4C23×C4314yes—
453C2×C42—22no—
454C2×C42D4×C4311yescharacteristic, complemented
455#99—28no—
456#99—28no—
457#99D4×C4318yescomplemented
458#95—22no—
459#95—21no—
460#95—21no—
461#95—21no—
462C24—22no—
463C24—21no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24—42no—
468C24—81no—
469C24C2×D4×C4314yes—
470C24C2×D4×C4311yescharacteristic
471C24C24×C4311yescharacteristic
472#41—48no—
473#41—48no—
474#41—44no—
475#41—44no—
476C2×Q8—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—24no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—24no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—48no—
492C2×D4—48no—
493C2×D4—48no—
494C2×D4—44no—
495C2×D4—44no—
496C2×D4—48no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—84no—
502C2×D4—81no—
503C2×D4C2×D4×C4314yes—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4C2×D4×C4314yes—
518C22×C4C2×D4×C4311yescharacteristic
519C22×C4C2×D4×C4311yescharacteristic
520C22×C4C2×D4×C4311yescharacteristic
521C22×C4C2×D4×C4311yescharacteristic
522C22×C4C2×D4×C4312yes—
523C22×C4C2×D4×C4312yes—
524C22×C4C2×D4×C4311yescharacteristic
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—48no—
531C4⋊C4—42no—
532C4⋊C4—81no—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—22no—
536C22⋊C4—24no—
537C22⋊C4—24no—
538C22⋊C4—22no—
539C22⋊C4—24no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—48no—
543C22⋊C4—48no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—81no—
551C22⋊C4C2×D4×C4318yescomplemented
552C42—21no—
553C42—21no—
554C42—82no—
555C23—21no—
556C23—21no—
557C23—22no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—44no—
569C23—41no—
570C23—42no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—44no—
578C23—84no—
579C23—84no—
580C23—82no—
581C23—82no—
582C23#127×C4312yes—
583C23C22×D4×C4311yescharacteristic
584C23C22×D4×C4312yes—
585C23C22×D4×C4312yes—
586C23H(5,𝔽2)×C4312yes—
587Q8—44no—
588D4—28no—
589D4—44no—
590D4—44no—
591D4—48no—
592D4—44no—
593D4—44no—
594D4—44no—
595D4—44no—
596D4—82no—
597D4—82no—
598D4—82no—
599D4—816no—
600D4—84no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—24no—
606C2×C4—28no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—48no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—44no—
630C2×C4—81no—
631C2×C4#120×C4311yescharacteristic
632C2×C4#120×C4311yescharacteristic
633C2×C4#120×C4312yes—
634C2×C4#127×C4312yes—
635C22—21no—
636C22—22no—
637C22—21no—
638C22—22no—
639C22—22no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—48no—
644C22—42no—
645C22—42no—
646C22—41no—
647C22—41no—
648C22—44no—
649C22—44no—
650C22—42no—
651C22—44no—
652C22—81no—
653C22—84no—
654C22—84no—
655C22—84no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—164no—
661C22C2×#120×C4311yescharacteristic
662C22C2×#127×C4311yescharacteristic
663C22C43×#53511yescharacteristic
664C22D42×C4314yes—
665C4—22no—
666C4—21no—
667C4—21no—
668C4—22no—
669C4—48no—
670C4—44no—
671C4—41no—
672C4—41no—
673C4—81no—
674C4—81no—
675C4—81no—
676C2—24no—
677C2—21no—
678C2—21no—
679C2—42no—
680C2—82no—
681C2—84no—
682C2C43×#243311yescharacteristic
683C2C43×#302511yescharacteristic
684C2C43×#302611yescharacteristic
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×#458C2semidirect
3. C2×C43×B(4,𝔽2)C2semidirect
4. C43×#2539C2semidirect
5. C43×#2534C2semidirect
6. C43×#2022C2semidirect
7. C43×#2021C2semidirect
8. C43×#1964C2semidirect
9. C4×#99×C43C2semidirect
19. C2×#123×C43C22semidirect
23. C2×#120×C43C22semidirect
25. C22×C22⋊C4×C43C22semidirect
29. C2×#99×C43C22semidirect
30. C2×#99×C43C22semidirect
38. C43×#381C22semidirect
39. C43×#380C22semidirect
40. C43×#379C22semidirect
41. C4×C22⋊C4×C43C22semidirect
42. C43×#342C22semidirect
54. C22×D4×C43D4semidirect
57. C23×C4×C43D4semidirect
91. C2×C4⋊C4×C43D4semidirect
92. C2×C4⋊C4×C43D4semidirect
104. C2×C22⋊C4×C43D4semidirect
105. C2×C22⋊C4×C43D4semidirect
111. C2×C42×C43D4semidirect
114. #99×C43D4semidirect
208. C22⋊C4×C43C2×D4semidirect
292. #25773C43direct (N × H)
334. #3496C2×C43semidirect
335. C2×#458C2×C43semidirect
336. C2×B(4,𝔽2)C2×C43semidirect
337. #2539C2×C43semidirect
338. #2534C2×C43semidirect
339. #2022C2×C43semidirect
340. #2021C2×C43semidirect
341. #1964C2×C43semidirect
342. C4×#99C2×C43semidirect
361. C2×#123C22×C43semidirect
365. C2×#120C22×C43semidirect
367. C22×C22⋊C4C22×C43semidirect
371. C2×#99C22×C43semidirect
372. C2×#99C22×C43semidirect
380. #381C22×C43semidirect
381. #380C22×C43semidirect
382. #379C22×C43semidirect
383. C4×C22⋊C4C22×C43semidirect
384. #342C22×C43semidirect
385. C43#25773direct (N × H)
397. C22×D4D4×C43semidirect
400. C23×C4D4×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
457. #99D4×C43semidirect
551. 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×#4582
C2×C43×B(4,𝔽2)2
C43×#25392
C43×#25342
C43×#20222
C43×#20212
C43×#19642
C4×#99×C432
#2577343