Finite Group Databasebeta

← C43×#29168 #24949185

Subgroups — C43×#29168 #24949185

Order 11008.

776 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#2629C211yesmaximal, characteristic, complemented
2C43×#2324C211yesmaximal, characteristic
3C43×#2099C211yesmaximal, characteristic, complemented
4C43×#2094C211yesmaximal, characteristic, complemented
5C43×#2059C211yesmaximal, characteristic, complemented
6C43×#2025C211yesmaximal, characteristic, complemented
7C43×#1920C211yesmaximal, characteristic, complemented
8C43×#1919C211yesmaximal, characteristic, complemented
9C43×#1895C211yesmaximal, characteristic
10C43×#1893C211yesmaximal, characteristic
11C43×#1864C211yesmaximal, characteristic, complemented
12C43×#1862C211yesmaximal, characteristic, complemented
13C43×#1809C211yesmaximal, characteristic, complemented
14C43×#1807C211yesmaximal, characteristic, complemented
15C43×#1729C211yesmaximal, characteristic, complemented
16C22×M16×C43C2211yescharacteristic
17C23×C8×C43C2211yescharacteristic
18C2×#125×C43C2211yescharacteristic
19C2×#121×C43C2211yescharacteristic
20C2×C4×D4×C43C2211yescharacteristic
21C2×#117×C43C2211yescharacteristic
22C2×#107×C43C2211yescharacteristic
23C2×#106×C43C2211yescharacteristic
24C2×#106×C43C2211yescharacteristic
25C2×#106×C43C2211yescharacteristic
26C2×#102×C43C2211yescharacteristic
27C2×#102×C43C2211yescharacteristic
28C2×#102×C43C2211yescharacteristic
29C2×#102×C43C2211yescharacteristic
30C43×#398—21no—
31C43×#398—21no—
32C43×#396—21no—
33C43×#396—21no—
34C43×#390—21no—
35C43×#390C2211yescharacteristic
36C43×#389C2211yescharacteristic
37C43×#389C2211yescharacteristic
38C43×#389C2211yescharacteristic
39C43×#388—21no—
40C43×#386—21no—
41C43×#385—21no—
42C43×#384C2211yescharacteristic
43C43×#380C2211yescharacteristic
44C43×#380C2211yescharacteristic
45C43×#380C2211yescharacteristic
46C4×C4⋊C4×C43C2211yescharacteristic
47C43×#340C2211yescharacteristic
48C43×#340C2211yescharacteristic
49C43×#340C2211yescharacteristic
50C43×#340C2211yescharacteristic
51C43×#340C2211yescharacteristic
52C43×#340C2211yescharacteristic
53C43×#340C2211yescharacteristic
54C43×#340C2211yescharacteristic
55C43×#336C2211yescharacteristic
56C43×#336C2211yescharacteristic
57C43×#336C2211yescharacteristic
58C43×#336C2211yescharacteristic
59C22×D4×C43—21no—
60C22×D4×C43C2311yescharacteristic
61C23×C4×C43—21no—
62C23×C4×C43C2311yescharacteristic
63C2×M16×C43—22no—
64C2×M16×C43—22no—
65C2×M16×C43—41no—
66C22×C8×C43—22no—
67C22×C8×C43—22no—
68C22×C8×C43—41no—
69C22×C8×C43C2311yescharacteristic
70C22×C8×C43C2311yescharacteristic
71C22×C8×C43C2311yescharacteristic
72C22×C8×C43C2311yescharacteristic
73#125×C43—41no—
74#125×C43—41no—
75#121×C43—22no—
76#121×C43Q814yes—
77C4×D4×C43—41no—
78C4×D4×C43—41no—
79#117×C43—41no—
80#117×C43—41no—
81C2×C4⋊C4×C43—21no—
82C2×C4⋊C4×C43—21no—
83C2×C4⋊C4×C43—21no—
84C2×C4⋊C4×C43—21no—
85C2×C4⋊C4×C43—21no—
86C2×C4⋊C4×C43—21no—
87C2×C4⋊C4×C43—21no—
88C2×C4⋊C4×C43D411yescharacteristic
89C2×C4⋊C4×C43D411yescharacteristic
90C2×C4⋊C4×C43C2311yescharacteristic
91C2×C4⋊C4×C43C2311yescharacteristic
92C2×C4⋊C4×C43C2311yescharacteristic
93C2×C4⋊C4×C43C2311yescharacteristic
94C2×C4⋊C4×C43C2311yescharacteristic
95C2×C4⋊C4×C43C2311yescharacteristic
96C2×C4⋊C4×C43C2311yescharacteristic
97C2×C22⋊C4×C43—21no—
98C2×C22⋊C4×C43—21no—
99C2×C22⋊C4×C43—21no—
100C2×C22⋊C4×C43—21no—
101C2×C22⋊C4×C43—21no—
102C2×C22⋊C4×C43—21no—
103C2×C22⋊C4×C43—21no—
104C2×C22⋊C4×C43D411yescharacteristic
105C2×C22⋊C4×C43D411yescharacteristic
106C2×C42×C43—21no—
107C2×C42×C43C2311yescharacteristic
108C2×C42×C43C2311yescharacteristic
109#107×C43—41no—
110#106×C43—22no—
111#106×C43—22no—
112#106×C43—41no—
113#102×C43—22no—
114#102×C43—22no—
115#102×C43—41no—
116#102×C43—41no—
117#95×C43—21no—
118#95×C43—21no—
119#95×C43—21no—
120#95×C43—21no—
121#95×C43—21no—
122#95×C43—21no—
123#95×C43—21no—
124C24×C43—21no—
125C24×C43C2×D411yescharacteristic
126C2×D4×C43—21no—
127C2×D4×C43—24no—
128C2×D4×C43—21no—
129C2×D4×C43—21no—
130C2×D4×C43—21no—
131C2×D4×C43—21no—
132C2×D4×C43—81no—
133C2×D4×C43—81no—
134C2×D4×C43C2×Q812yes—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—42no—
147C22×C4×C43—81no—
148C22×C4×C43—81no—
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43C2×D411yescharacteristic
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×Q812yes—
155C22×C4×C43#4112yes—
156C22×C4×C43C2411yescharacteristic
157M16×C43—44no—
158C2×C8×C43—21no—
159C2×C8×C43—21no—
160C2×C8×C43—21no—
161C2×C8×C43—21no—
162C2×C8×C43—21no—
163C2×C8×C43—21no—
164C2×C8×C43—21no—
165C2×C8×C43—21no—
166C2×C8×C43—21no—
167C2×C8×C43—21no—
168C2×C8×C43—44no—
169C2×C8×C43#4112yes—
170C2×C8×C43#4112yes—
171C4⋊C4×C43—21no—
172C4⋊C4×C43—21no—
173C4⋊C4×C43—21no—
174C4⋊C4×C43—21no—
175C4⋊C4×C43—21no—
176C4⋊C4×C43—21no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—41no—
185C4⋊C4×C43—41no—
186C4⋊C4×C43—42no—
187C4⋊C4×C43—42no—
188C4⋊C4×C43—81no—
189C4⋊C4×C43—81no—
190C4⋊C4×C43—81no—
191C4⋊C4×C43—81no—
192C4⋊C4×C43—81no—
193C4⋊C4×C43C2×Q812yes—
194C22⋊C4×C43—24no—
195C22⋊C4×C43—41no—
196C22⋊C4×C43—41no—
197C22⋊C4×C43—42no—
198C22⋊C4×C43—81no—
199C22⋊C4×C43—81no—
200C22⋊C4×C43—81no—
201C22⋊C4×C43—81no—
202C22⋊C4×C43—81no—
203C42×C43—21no—
204C42×C43—21no—
205C42×C43—21no—
206C42×C43—21no—
207C42×C43—81no—
208C23×C43—21no—
209C23×C43—21no—
210C23×C43—21no—
211C23×C43—21no—
212C23×C43—21no—
213C23×C43—21no—
214C23×C43—22no—
215C23×C43—41no—
216C23×C43—41no—
217C23×C43—41no—
218C23×C43—41no—
219C23×C43—41no—
220C23×C43—41no—
221C23×C43C22⋊Q812yes—
222C23×C43C22×D411yescharacteristic
223D4×C43—22no—
224D4×C43—22no—
225D4×C43—41no—
226D4×C43—41no—
227D4×C43—84no—
228C2×C4×C43—21no—
229C2×C4×C43—21no—
230C2×C4×C43—22no—
231C2×C4×C43—22no—
232C2×C4×C43—22no—
233C2×C4×C43—22no—
234C2×C4×C43—22no—
235C2×C4×C43—21no—
236C2×C4×C43—21no—
237C2×C4×C43—21no—
238C2×C4×C43—21no—
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—21no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—41no—
253C2×C4×C43—41no—
254C2×C4×C43—41no—
255C2×C4×C43—41no—
256C2×C4×C43—41no—
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—84no—
268C2×C4×C43C22⋊Q812yes—
269C2×C4×C43C22×Q811yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43H(5,𝔽2)11yescharacteristic
274C2×C4×C43H(5,𝔽2)11yescharacteristic
275C8×C43—22no—
276C8×C43—22no—
277C8×C43—41no—
278C8×C43—41no—
279#29168C4311yesmaximal, characteristic, direct product factor, Sylow
280C22×C43—22no—
281C22×C43—22no—
282C22×C43—22no—
283C22×C43—41no—
284C22×C43—41no—
285C22×C43—41no—
286C22×C43—41no—
287C22×C43—42no—
288C22×C43—42no—
289C22×C43—42no—
290C22×C43—81no—
291C22×C43—81no—
292C22×C43—81no—
293C22×C43—81no—
294C22×C43C2×C22⋊Q811yescharacteristic
295C22×C43#53211yescharacteristic
296C22×C43#53411yescharacteristic
297C22×C43#57611yescharacteristic
298C22×C43#57711yescharacteristic
299C22×C43#57711yescharacteristic
300C22×C43#57711yescharacteristic
301C4×C43—22no—
302C4×C43—42no—
303C4×C43—41no—
304C4×C43—41no—
305C4×C43—41no—
306C4×C43—41no—
307C4×C43—81no—
308C4×C43—81no—
309C4×C43—81no—
310C4×C43—81no—
311C4×C43—81no—
312C4×C43—81no—
313C4×C43#55111yescharacteristic
314C4×C43#55111yescharacteristic
315C4×C43#55411yescharacteristic
316C4×C43#55411yescharacteristic
317#2629C2×C4311yescharacteristic, complemented
318#2324C2×C4311yescharacteristic
319#2099C2×C4311yescharacteristic, complemented
320#2094C2×C4311yescharacteristic, complemented
321#2059C2×C4311yescharacteristic, complemented
322#2025C2×C4311yescharacteristic, complemented
323#1920C2×C4311yescharacteristic, complemented
324#1919C2×C4311yescharacteristic, complemented
325#1895C2×C4311yescharacteristic
326#1893C2×C4311yescharacteristic
327#1864C2×C4311yescharacteristic, complemented
328#1862C2×C4311yescharacteristic, complemented
329#1809C2×C4311yescharacteristic, complemented
330#1807C2×C4311yescharacteristic, complemented
331#1729C2×C4311yescharacteristic, complemented
332C2×C43—42no—
333C2×C43—82no—
334C2×C43#256411yescharacteristic
335C2×C43#308111yescharacteristic
336C2×C43#308411yescharacteristic
337C2×C43#317411yescharacteristic
338C2×C43#317911yescharacteristic
339C2×C43#319811yescharacteristic
340C2×C43#320411yescharacteristic
341C22×M16C22×C4311yescharacteristic
342C23×C8C22×C4311yescharacteristic
343C2×#125C22×C4311yescharacteristic
344C2×#121C22×C4311yescharacteristic
345C2×C4×D4C22×C4311yescharacteristic
346C2×#117C22×C4311yescharacteristic
347C2×#107C22×C4311yescharacteristic
348C2×#106C22×C4311yescharacteristic
349C2×#106C22×C4311yescharacteristic
350C2×#106C22×C4311yescharacteristic
351C2×#102C22×C4311yescharacteristic
352C2×#102C22×C4311yescharacteristic
353C2×#102C22×C4311yescharacteristic
354C2×#102C22×C4311yescharacteristic
355#398—21no—
356#398—21no—
357#396—21no—
358#396—21no—
359#390—21no—
360#390C22×C4311yescharacteristic
361#389C22×C4311yescharacteristic
362#389C22×C4311yescharacteristic
363#389C22×C4311yescharacteristic
364#388—21no—
365#386—21no—
366#385—21no—
367#384C22×C4311yescharacteristic
368#380C22×C4311yescharacteristic
369#380C22×C4311yescharacteristic
370#380C22×C4311yescharacteristic
371C4×C4⋊C4C22×C4311yescharacteristic
372#340C22×C4311yescharacteristic
373#340C22×C4311yescharacteristic
374#340C22×C4311yescharacteristic
375#340C22×C4311yescharacteristic
376#340C22×C4311yescharacteristic
377#340C22×C4311yescharacteristic
378#340C22×C4311yescharacteristic
379#340C22×C4311yescharacteristic
380#336C22×C4311yescharacteristic
381#336C22×C4311yescharacteristic
382#336C22×C4311yescharacteristic
383#336C22×C4311yescharacteristic
384C43#2916811yescharacteristic, direct product factor, Sylow
385C22×D4—21no—
386C22×D4C23×C4311yescharacteristic
387C23×C4—21no—
388C23×C4C23×C4311yescharacteristic
389C2×M16—22no—
390C2×M16—22no—
391C2×M16—41no—
392C22×C8—22no—
393C22×C8—22no—
394C22×C8—41no—
395C22×C8C23×C4311yescharacteristic
396C22×C8C23×C4311yescharacteristic
397C22×C8C23×C4311yescharacteristic
398C22×C8C23×C4311yescharacteristic
399#125—41no—
400#125—41no—
401#121—22no—
402#121Q8×C4314yes—
403C4×D4—41no—
404C4×D4—41no—
405#117—41no—
406#117—41no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4D4×C4311yescharacteristic
415C2×C4⋊C4D4×C4311yescharacteristic
416C2×C4⋊C4C23×C4311yescharacteristic
417C2×C4⋊C4C23×C4311yescharacteristic
418C2×C4⋊C4C23×C4311yescharacteristic
419C2×C4⋊C4C23×C4311yescharacteristic
420C2×C4⋊C4C23×C4311yescharacteristic
421C2×C4⋊C4C23×C4311yescharacteristic
422C2×C4⋊C4C23×C4311yescharacteristic
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4D4×C4311yescharacteristic
431C2×C22⋊C4D4×C4311yescharacteristic
432C2×C42—21no—
433C2×C42C23×C4311yescharacteristic
434C2×C42C23×C4311yescharacteristic
435#107—41no—
436#106—22no—
437#106—22no—
438#106—41no—
439#102—22no—
440#102—22no—
441#102—41no—
442#102—41no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450C24—21no—
451C24C2×D4×C4311yescharacteristic
452C2×D4—24no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—81no—
459C2×D4—81no—
460C2×D4C2×Q8×C4312yes—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—42no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4C2×D4×C4311yescharacteristic
476C22×C4C2×D4×C4311yescharacteristic
477C22×C4C2×D4×C4311yescharacteristic
478C22×C4C2×D4×C4311yescharacteristic
479C22×C4C2×D4×C4311yescharacteristic
480C22×C4C2×Q8×C4312yes—
481C22×C4#41×C4312yes—
482C22×C4C24×C4311yescharacteristic
483M16—44no—
484C2×C8—21no—
485C2×C8—21no—
486C2×C8—21no—
487C2×C8—21no—
488C2×C8—21no—
489C2×C8—21no—
490C2×C8—21no—
491C2×C8—21no—
492C2×C8—21no—
493C2×C8—21no—
494C2×C8—44no—
495C2×C8#41×C4312yes—
496C2×C8#41×C4312yes—
497C4⋊C4—21no—
498C4⋊C4—21no—
499C4⋊C4—21no—
500C4⋊C4—21no—
501C4⋊C4—21no—
502C4⋊C4—21no—
503C4⋊C4—21no—
504C4⋊C4—21no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—41no—
511C4⋊C4—41no—
512C4⋊C4—42no—
513C4⋊C4—42no—
514C4⋊C4—81no—
515C4⋊C4—81no—
516C4⋊C4—81no—
517C4⋊C4—81no—
518C4⋊C4—81no—
519C4⋊C4C2×Q8×C4312yes—
520C22⋊C4—24no—
521C22⋊C4—41no—
522C22⋊C4—41no—
523C22⋊C4—42no—
524C22⋊C4—81no—
525C22⋊C4—81no—
526C22⋊C4—81no—
527C22⋊C4—81no—
528C22⋊C4—81no—
529C42—21no—
530C42—21no—
531C42—21no—
532C42—21no—
533C42—81no—
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—21no—
539C23—21no—
540C23—22no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23—41no—
547C23C22⋊Q8×C4312yes—
548C23C22×D4×C4311yescharacteristic
549D4—22no—
550D4—22no—
551D4—41no—
552D4—41no—
553D4—84no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—84no—
594C2×C4C22⋊Q8×C4312yes—
595C2×C4C22×Q8×C4311yescharacteristic
596C2×C4C2×#41×C4311yescharacteristic
597C2×C4C2×#41×C4311yescharacteristic
598C2×C4C2×#41×C4311yescharacteristic
599C2×C4H(5,𝔽2)×C4311yescharacteristic
600C2×C4H(5,𝔽2)×C4311yescharacteristic
601C8—22no—
602C8—22no—
603C8—41no—
604C8—41no—
605C22—22no—
606C22—22no—
607C22—22no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—42no—
613C22—42no—
614C22—42no—
615C22—81no—
616C22—81no—
617C22—81no—
618C22—81no—
619C22C2×C22⋊Q8×C4311yescharacteristic
620C22C43×#53211yescharacteristic
621C22C43×#53411yescharacteristic
622C22C43×#57611yescharacteristic
623C22C43×#57711yescharacteristic
624C22C43×#57711yescharacteristic
625C22C43×#57711yescharacteristic
626C4—22no—
627C4—41no—
628C4—41no—
629C4—41no—
630C4—41no—
631C4—42no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4—81no—
638C4C43×#55111yescharacteristic
639C4C43×#55111yescharacteristic
640C4C43×#55411yescharacteristic
641C4C43×#55411yescharacteristic
642C2—42no—
643C2—82no—
644C2C43×#256411yescharacteristic
645C2C43×#308111yescharacteristic
646C2C43×#308411yescharacteristic
647C2C43×#317411yescharacteristic
648C2C43×#317911yescharacteristic
649C2C43×#319811yescharacteristic
650C2C43×#320411yescharacteristic
subgroupG/H
center, socleC23×C43C22×D4
commutator, Frattini, cosocleC22×C4C24×C43
prime radicalC2×#121×C43C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C43 ◁ C2×#117×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#2629C2semidirect
3. C43×#2099C2semidirect
4. C43×#2094C2semidirect
5. C43×#2059C2semidirect
6. C43×#2025C2semidirect
7. C43×#1920C2semidirect
8. C43×#1919C2semidirect
11. C43×#1864C2semidirect
12. C43×#1862C2semidirect
13. C43×#1809C2semidirect
14. C43×#1807C2semidirect
15. C43×#1729C2semidirect
279. #29168C43direct (N × H)
317. #2629C2×C43semidirect
319. #2099C2×C43semidirect
320. #2094C2×C43semidirect
321. #2059C2×C43semidirect
322. #2025C2×C43semidirect
323. #1920C2×C43semidirect
324. #1919C2×C43semidirect
327. #1864C2×C43semidirect
328. #1862C2×C43semidirect
329. #1809C2×C43semidirect
330. #1807C2×C43semidirect
331. #1729C2×C43semidirect
384. C43#29168direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#26292
C43×#23242
C43×#20992
C43×#20942
C43×#20592
C43×#20252
C43×#19202
C43×#19192
C43×#18952
C43×#18932
C43×#18642
C43×#18622
C43×#18092
C43×#18072
C43×#17292
#2916843