Finite Group Databasebeta

← C43×#60523 #24980540

Subgroups — C43×#60523 #24980540

Order 11008.

2184 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3488C211yesmaximal, characteristic
2C43×#3428C211yesmaximal, characteristic, complemented
3C43×#3099C213yesmaximal, complemented
4C43×#3098C213yesmaximal, complemented
5C43×#3096C213yesmaximal, complemented
6C43×#3096C213yesmaximal, complemented
7C43×#3094C213yesmaximal, complemented
8C43×#3093C213yesmaximal, complemented
9C43×#3091C213yesmaximal, complemented
10C2×C43×#482C213yesmaximal, complemented
11C43×#2913C211yesmaximal, characteristic, complemented
12C43×#2912C211yesmaximal, characteristic, complemented
13C43×#2897C211yesmaximal, characteristic, complemented
14C43×#2897C211yesmaximal, characteristic, complemented
15C43×#2880C211yesmaximal, characteristic, complemented
16C2×H(5,𝔽2)×C43C2211yescharacteristic
17C22×#41×C43C2211yescharacteristic
18C2×#131×C43C2211yescharacteristic
19C2×#131×C43C2211yescharacteristic
20C43×#550—21no—
21C43×#548—21no—
22C43×#546—23no—
23D42×C43—23no—
24C43×#537C2213yes—
25C43×#535C2213yes—
26C43×#525C2213yes—
27C2×#121×C43C2213yes—
28C43×#520C2211yescharacteristic
29C43×#520C2211yescharacteristic
30C43×#520C2211yescharacteristic
31C43×#520C2213yescomplemented
32C43×#520C2213yescomplemented
33C43×#519—21no—
34C43×#518—23no—
35C4×#41×C43—23no—
36C4×#41×C43—21no—
37C2×#117×C43C2213yescomplemented
38C2×#117×C43C2213yescomplemented
39C43×#485C2211yescharacteristic, complemented
40C43×#485C2213yescomplemented
41C43×#485C2216yescomplemented
42C43×#484C2213yescomplemented
43C43×#483C2213yescomplemented
44C43×#482C2213yescomplemented
45C43×#482C2216yescomplemented
46C43×#482C2216yescomplemented
47C43×#482C2216yescomplemented
48C43×#482C2213yescomplemented
49C43×#482C2216yescomplemented
50C43×#481C2213yescomplemented
51C43×#481C2216yescomplemented
52C43×#480C2213yescomplemented
53C43×#480C2216yescomplemented
54C43×#428C2213yescomplemented
55C43×#428C2213yescomplemented
56C43×#428C2213yescomplemented
57C43×#428C2213yescomplemented
58C43×#427C2213yescomplemented
59C43×#427C2213yescomplemented
60C2×#107×C43C2213yescomplemented
61C2×#106×C43C2213yescomplemented
62C43×#418C2213yescomplemented
63C43×#418C2213yescomplemented
64C43×#417C2213yescomplemented
65C43×#417C2213yescomplemented
66C43×#416C2213yescomplemented
67C43×#416C2213yescomplemented
68C2×#102×C43C2213yescomplemented
69C2×#102×C43C2213yescomplemented
70C43×#408C2213yescomplemented
71C43×#408C2213yescomplemented
72C43×#407C2213yescomplemented
73C2×C22⋊C8×C43C2213yescomplemented
74H(5,𝔽2)×C43—24no—
75H(5,𝔽2)×C43—24no—
76C2×#41×C43—24no—
77C2×#41×C43—24no—
78C2×#41×C43—21no—
79C2×#41×C43D413yes—
80C2×#41×C43D411yescharacteristic
81C2×#41×C43C2313yes—
82C2×#41×C43C2313yes—
83C2×#41×C43C2311yescharacteristic
84C22×Q8×C43D411yescharacteristic
85C22×D4×C43—23no—
86C22×D4×C43—23no—
87C22×D4×C43D413yes—
88C22×D4×C43C2313yes—
89C23×C4×C43C2313yes—
90#131×C43—24no—
91#131×C43—24no—
92C2×M16×C43C2313yes—
93C2×M16×C43C2313yes—
94C22×C8×C43C2313yes—
95C22×C8×C43C2313yes—
96#127×C43—23no—
97#124×C43—23no—
98#123×C43—23no—
99C22⋊Q8×C43—23no—
100C22⋊Q8×C43C2311yescharacteristic
101C22⋊Q8×C43C2313yes—
102#121×C43—26no—
103#121×C43—23no—
104#121×C43—23no—
105#121×C43—23no—
106#121×C43C2313yes—
107#121×C43C2316yes—
108#121×C43C2313yes—
109#120×C43—23no—
110#120×C43—26no—
111C4×Q8×C43—21no—
112C4×Q8×C43—21no—
113C4×Q8×C43—23no—
114C4×Q8×C43—23no—
115C4×Q8×C43—21no—
116C4×D4×C43—23no—
117C4×D4×C43—23no—
118C4×D4×C43—26no—
119C4×D4×C43—26no—
120C4×D4×C43—23no—
121C4×D4×C43—23no—
122C4×D4×C43—23no—
123C4×D4×C43—23no—
124C4×D4×C43—23no—
125#117×C43—23no—
126#117×C43—23no—
127#117×C43—23no—
128#117×C43—23no—
129#117×C43C2313yes—
130#117×C43C2311yescharacteristic
131#117×C43C2313yes—
132#117×C43C2313yes—
133#117×C43C2316yes—
134#117×C43C2313yes—
135C2×C4⋊C4×C43C2313yes—
136C2×C4⋊C4×C43C2313yes—
137C2×C4⋊C4×C43C2313yes—
138C2×C4⋊C4×C43C2313yes—
139C2×C4⋊C4×C43C2313yes—
140C2×C22⋊C4×C43—23no—
141C2×C22⋊C4×C43—23no—
142C2×C22⋊C4×C43—23no—
143C2×C42×C43—23no—
144C2×C42×C43—23no—
145#107×C43C2313yes—
146#107×C43C2316yes—
147#107×C43C2311yescharacteristic
148#107×C43C2313yes—
149#107×C43C2313yes—
150#106×C43C2313yes—
151#106×C43C2316yes—
152#106×C43C2311yescharacteristic
153#106×C43C2313yes—
154#106×C43C2313yes—
155#103×C43C2311yescharacteristic
156#103×C43C2311yescharacteristic
157#103×C43C2313yes—
158#103×C43C2313yes—
159#102×C43C2313yes—
160#102×C43C2313yes—
161#102×C43C2316yes—
162#102×C43C2316yes—
163#102×C43C2313yes—
164#102×C43C2313yes—
165C22⋊C8×C43C2311yescharacteristic
166C22⋊C8×C43C2313yes—
167C22⋊C8×C43C2313yes—
168C22⋊C8×C43C2313yes—
169C22⋊C8×C43C2316yes—
170C24×C43—23no—
171C24×C43C2×D413yes—
172#41×C43—24no—
173#41×C43—212no—
174#41×C43—26no—
175#41×C43—26no—
176#41×C43—26no—
177#41×C43—26no—
178#41×C43—44no—
179#41×C43#4114yes—
180#41×C43#4114yes—
181C2×Q8×C43—24no—
182C2×Q8×C43C2×D413yes—
183C2×Q8×C43C2×D411yescharacteristic
184C2×Q8×C43C2411yescharacteristic
185C2×D4×C43—212no—
186C2×D4×C43—23no—
187C2×D4×C43—23no—
188C2×D4×C43—23no—
189C2×D4×C43—23no—
190C2×D4×C43—26no—
191C2×D4×C43—26no—
192C2×D4×C43—26no—
193C2×D4×C43—412no—
194C2×D4×C43—86no—
195C2×D4×C43C2×D416yes—
196C2×D4×C43C2×D413yes—
197C2×D4×C43C2×D413yes—
198C2×D4×C43C2413yes—
199C22×C4×C43—26no—
200C22×C4×C43—26no—
201C22×C4×C43—23no—
202C22×C4×C43—23no—
203C22×C4×C43—23no—
204C22×C4×C43—23no—
205C22×C4×C43—23no—
206C22×C4×C43—23no—
207C22×C4×C43C2×D413yes—
208C22×C4×C43C2×D413yes—
209C22×C4×C43C2×D413yes—
210C22×C4×C43C2413yes—
211C22×C4×C43C2411yescharacteristic
212C22×C4×C43C2413yes—
213M16×C43—26no—
214M16×C43—26no—
215C2×C8×C43—26no—
216C2×C8×C43—26no—
217C2×C8×C43C2411yescharacteristic
218C2×C8×C43C2413yes—
219C2×C8×C43C2413yes—
220C2×C8×C43C2411yescharacteristic
221C4⋊C4×C43—23no—
222C4⋊C4×C43—23no—
223C4⋊C4×C43—23no—
224C4⋊C4×C43—23no—
225C4⋊C4×C43—23no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43—23no—
228C4⋊C4×C43C2413yes—
229C4⋊C4×C43C2411yescharacteristic
230C4⋊C4×C43C2413yes—
231C4⋊C4×C43C2411yescharacteristic
232C4⋊C4×C43C2413yes—
233C4⋊C4×C43C2411yescharacteristic
234C22⋊C4×C43—23no—
235C22⋊C4×C43—26no—
236C22⋊C4×C43—23no—
237C22⋊C4×C43—23no—
238C22⋊C4×C43—21no—
239C22⋊C4×C43—26no—
240C22⋊C4×C43—23no—
241C22⋊C4×C43—23no—
242C22⋊C4×C43—23no—
243C22⋊C4×C43—21no—
244C22⋊C4×C43—23no—
245C42×C43—23no—
246C42×C43—21no—
247C42×C43—26no—
248C42×C43—23no—
249C42×C43—23no—
250C42×C43—23no—
251C23×C43—26no—
252C23×C43—23no—
253C23×C43—43no—
254C23×C43—43no—
255C23×C43—46no—
256C23×C43—83no—
257C23×C43—83no—
258C23×C43C22×D411yescharacteristic
259C23×C43C22×D413yes—
260C23×C43C22×D413yes—
261Q8×C43—26no—
262Q8×C43—21no—
263Q8×C43—21no—
264Q8×C43#12314yes—
265D4×C43—212no—
266D4×C43—26no—
267D4×C43—23no—
268D4×C43—23no—
269D4×C43—46no—
270D4×C43—46no—
271D4×C43—46no—
272D4×C43—83no—
273D4×C43—86no—
274D4×C43#123112yes—
275C2×C4×C43—26no—
276C2×C4×C43—26no—
277C2×C4×C43—26no—
278C2×C4×C43—21no—
279C2×C4×C43—21no—
280C2×C4×C43—23no—
281C2×C4×C43—23no—
282C2×C4×C43—23no—
283C2×C4×C43—21no—
284C2×C4×C43—23no—
285C2×C4×C43—21no—
286C2×C4×C43—21no—
287C2×C4×C43—23no—
288C2×C4×C43—21no—
289C2×C4×C43—46no—
290C2×C4×C43—83no—
291C2×C4×C43—83no—
292C2×C4×C43—83no—
293C2×C4×C43—83no—
294C2×C4×C43—83no—
295C2×C4×C43C22×D411yescharacteristic
296C2×C4×C43C22×D413yes—
297C2×C4×C43C22×D413yes—
298C2×C4×C43C2×#4116yes—
299C2×C4×C43C2×#4116yes—
300C2×C4×C43C2511yescharacteristic
301C8×C43—21no—
302C8×C43—21no—
303C8×C43—23no—
304C8×C43—23no—
305#60523C4311yesmaximal, characteristic, direct product factor, Sylow
306C22×C43—23no—
307C22×C43—23no—
308C22×C43—21no—
309C22×C43—23no—
310C22×C43—21no—
311C22×C43—23no—
312C22×C43—21no—
313C22×C43—23no—
314C22×C43—43no—
315C22×C43—43no—
316C22×C43—43no—
317C22×C43—86no—
318C22×C43—166no—
319C22×C43C2×#12316yes—
320C22×C43C23×D411yescharacteristic
321C4×C43—21no—
322C4×C43—23no—
323C4×C43—43no—
324C4×C43—41no—
325C4×C43—41no—
326C4×C43—43no—
327C4×C43—41no—
328C4×C43—43no—
329C4×C43—41no—
330C4×C43C2×#12316yes—
331C4×C43C22×#4111yescharacteristic
332C4×C43C22×#4111yescharacteristic
333#3488C2×C4311yescharacteristic
334#3428C2×C4311yescharacteristic, complemented
335#3099C2×C4313yescomplemented
336#3098C2×C4313yescomplemented
337#3096C2×C4313yescomplemented
338#3096C2×C4313yescomplemented
339#3094C2×C4313yescomplemented
340#3093C2×C4313yescomplemented
341#3091C2×C4313yescomplemented
342C2×#482C2×C4313yescomplemented
343#2913C2×C4311yescharacteristic, complemented
344#2912C2×C4311yescharacteristic, complemented
345#2897C2×C4311yescharacteristic, complemented
346#2897C2×C4311yescharacteristic, complemented
347#2880C2×C4311yescharacteristic, complemented
348C2×C43—26no—
349C2×C43—43no—
350C2×C43—41no—
351C2×C43—83no—
352C2×C43C22×#12311yescharacteristic
353C2×C43#358411yescharacteristic
354C2×C43#358511yescharacteristic
355C2×H(5,𝔽2)C22×C4311yescharacteristic
356C22×#41C22×C4311yescharacteristic
357C2×#131C22×C4311yescharacteristic
358C2×#131C22×C4311yescharacteristic
359#550—21no—
360#548—21no—
361#546—23no—
362D42—23no—
363#537C22×C4313yes—
364#535C22×C4313yes—
365#525C22×C4313yes—
366C2×#121C22×C4313yes—
367#520C22×C4311yescharacteristic
368#520C22×C4311yescharacteristic
369#520C22×C4311yescharacteristic
370#520C22×C4313yescomplemented
371#520C22×C4313yescomplemented
372#519—21no—
373#518—23no—
374C4×#41—23no—
375C4×#41—21no—
376C2×#117C22×C4313yescomplemented
377C2×#117C22×C4313yescomplemented
378#485C22×C4311yescharacteristic, complemented
379#485C22×C4313yescomplemented
380#485C22×C4316yescomplemented
381#484C22×C4313yescomplemented
382#483C22×C4313yescomplemented
383#482C22×C4313yescomplemented
384#482C22×C4316yescomplemented
385#482C22×C4316yescomplemented
386#482C22×C4316yescomplemented
387#482C22×C4313yescomplemented
388#482C22×C4316yescomplemented
389#481C22×C4313yescomplemented
390#481C22×C4316yescomplemented
391#480C22×C4313yescomplemented
392#480C22×C4316yescomplemented
393#428C22×C4313yescomplemented
394#428C22×C4313yescomplemented
395#428C22×C4313yescomplemented
396#428C22×C4313yescomplemented
397#427C22×C4313yescomplemented
398#427C22×C4313yescomplemented
399C2×#107C22×C4313yescomplemented
400C2×#106C22×C4313yescomplemented
401#418C22×C4313yescomplemented
402#418C22×C4313yescomplemented
403#417C22×C4313yescomplemented
404#417C22×C4313yescomplemented
405#416C22×C4313yescomplemented
406#416C22×C4313yescomplemented
407C2×#102C22×C4313yescomplemented
408C2×#102C22×C4313yescomplemented
409#408C22×C4313yescomplemented
410#408C22×C4313yescomplemented
411#407C22×C4313yescomplemented
412C2×C22⋊C8C22×C4313yescomplemented
413C43#6052311yescharacteristic, direct product factor, Sylow
414H(5,𝔽2)—24no—
415H(5,𝔽2)—24no—
416C2×#41—24no—
417C2×#41—24no—
418C2×#41—21no—
419C2×#41D4×C4313yes—
420C2×#41D4×C4311yescharacteristic
421C2×#41C23×C4313yes—
422C2×#41C23×C4313yes—
423C2×#41C23×C4311yescharacteristic
424C22×Q8D4×C4311yescharacteristic
425C22×D4—23no—
426C22×D4—23no—
427C22×D4D4×C4313yes—
428C22×D4C23×C4313yes—
429C23×C4C23×C4313yes—
430#131—24no—
431#131—24no—
432C2×M16C23×C4313yes—
433C2×M16C23×C4313yes—
434C22×C8C23×C4313yes—
435C22×C8C23×C4313yes—
436#127—23no—
437#124—23no—
438#123—23no—
439C22⋊Q8—23no—
440C22⋊Q8C23×C4311yescharacteristic
441C22⋊Q8C23×C4313yes—
442#121—26no—
443#121—23no—
444#121—23no—
445#121—23no—
446#121C23×C4313yes—
447#121C23×C4316yes—
448#121C23×C4313yes—
449#120—23no—
450#120—26no—
451C4×Q8—21no—
452C4×Q8—21no—
453C4×Q8—23no—
454C4×Q8—23no—
455C4×Q8—21no—
456C4×D4—23no—
457C4×D4—23no—
458C4×D4—26no—
459C4×D4—26no—
460C4×D4—23no—
461C4×D4—23no—
462C4×D4—23no—
463C4×D4—23no—
464C4×D4—23no—
465#117—23no—
466#117—23no—
467#117—23no—
468#117—23no—
469#117C23×C4313yes—
470#117C23×C4311yescharacteristic
471#117C23×C4313yes—
472#117C23×C4313yes—
473#117C23×C4316yes—
474#117C23×C4313yes—
475C2×C4⋊C4C23×C4313yes—
476C2×C4⋊C4C23×C4313yes—
477C2×C4⋊C4C23×C4313yes—
478C2×C4⋊C4C23×C4313yes—
479C2×C4⋊C4C23×C4313yes—
480C2×C22⋊C4—23no—
481C2×C22⋊C4—23no—
482C2×C22⋊C4—23no—
483C2×C42—23no—
484C2×C42—23no—
485#107C23×C4313yes—
486#107C23×C4316yes—
487#107C23×C4311yescharacteristic
488#107C23×C4313yes—
489#107C23×C4313yes—
490#106C23×C4313yes—
491#106C23×C4316yes—
492#106C23×C4311yescharacteristic
493#106C23×C4313yes—
494#106C23×C4313yes—
495#103C23×C4311yescharacteristic
496#103C23×C4311yescharacteristic
497#103C23×C4313yes—
498#103C23×C4313yes—
499#102C23×C4313yes—
500#102C23×C4313yes—
501#102C23×C4316yes—
502#102C23×C4316yes—
503#102C23×C4313yes—
504#102C23×C4313yes—
505C22⋊C8C23×C4311yescharacteristic
506C22⋊C8C23×C4313yes—
507C22⋊C8C23×C4313yes—
508C22⋊C8C23×C4313yes—
509C22⋊C8C23×C4316yes—
510C24—23no—
511C24C2×D4×C4313yes—
512#41—24no—
513#41—212no—
514#41—26no—
515#41—26no—
516#41—26no—
517#41—26no—
518#41—44no—
519#41#41×C4314yes—
520#41#41×C4314yes—
521C2×Q8—24no—
522C2×Q8C2×D4×C4313yes—
523C2×Q8C2×D4×C4311yescharacteristic
524C2×Q8C24×C4311yescharacteristic
525C2×D4—212no—
526C2×D4—23no—
527C2×D4—23no—
528C2×D4—23no—
529C2×D4—26no—
530C2×D4—23no—
531C2×D4—26no—
532C2×D4—26no—
533C2×D4—412no—
534C2×D4—86no—
535C2×D4C2×D4×C4316yes—
536C2×D4C2×D4×C4313yes—
537C2×D4C2×D4×C4313yes—
538C2×D4C24×C4313yes—
539C22×C4—26no—
540C22×C4—26no—
541C22×C4—23no—
542C22×C4—23no—
543C22×C4—23no—
544C22×C4—23no—
545C22×C4—23no—
546C22×C4—23no—
547C22×C4C2×D4×C4313yes—
548C22×C4C2×D4×C4313yes—
549C22×C4C2×D4×C4313yes—
550C22×C4C24×C4313yes—
551C22×C4C24×C4311yescharacteristic
552C22×C4C24×C4313yes—
553M16—26no—
554M16—26no—
555C2×C8—26no—
556C2×C8—26no—
557C2×C8C24×C4311yescharacteristic
558C2×C8C24×C4313yes—
559C2×C8C24×C4313yes—
560C2×C8C24×C4311yescharacteristic
561C4⋊C4—23no—
562C4⋊C4—23no—
563C4⋊C4—23no—
564C4⋊C4—23no—
565C4⋊C4—23no—
566C4⋊C4—21no—
567C4⋊C4—23no—
568C4⋊C4C24×C4313yes—
569C4⋊C4C24×C4311yescharacteristic
570C4⋊C4C24×C4313yes—
571C4⋊C4C24×C4311yescharacteristic
572C4⋊C4C24×C4313yes—
573C4⋊C4C24×C4311yescharacteristic
574C22⋊C4—23no—
575C22⋊C4—21no—
576C22⋊C4—26no—
577C22⋊C4—23no—
578C22⋊C4—23no—
579C22⋊C4—23no—
580C22⋊C4—21no—
581C22⋊C4—23no—
582C22⋊C4—23no—
583C22⋊C4—26no—
584C22⋊C4—23no—
585C42—23no—
586C42—21no—
587C42—26no—
588C42—23no—
589C42—23no—
590C42—23no—
591C23—26no—
592C23—23no—
593C23—43no—
594C23—43no—
595C23—46no—
596C23—83no—
597C23—83no—
598C23C22×D4×C4311yescharacteristic
599C23C22×D4×C4313yes—
600C23C22×D4×C4313yes—
601Q8—26no—
602Q8—21no—
603Q8—21no—
604Q8#123×C4314yes—
605D4—212no—
606D4—26no—
607D4—23no—
608D4—23no—
609D4—46no—
610D4—46no—
611D4—46no—
612D4—86no—
613D4—83no—
614D4#123×C43112yes—
615C2×C4—26no—
616C2×C4—26no—
617C2×C4—26no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—23no—
621C2×C4—23no—
622C2×C4—23no—
623C2×C4—21no—
624C2×C4—23no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—23no—
628C2×C4—21no—
629C2×C4—46no—
630C2×C4—83no—
631C2×C4—83no—
632C2×C4—83no—
633C2×C4—83no—
634C2×C4—83no—
635C2×C4C22×D4×C4311yescharacteristic
636C2×C4C22×D4×C4313yes—
637C2×C4C22×D4×C4313yes—
638C2×C4C2×#41×C4316yes—
639C2×C4C2×#41×C4316yes—
640C2×C4C25×C4311yescharacteristic
641C8—21no—
642C8—21no—
643C8—23no—
644C8—23no—
645C22—23no—
646C22—23no—
647C22—21no—
648C22—23no—
649C22—23no—
650C22—21no—
651C22—23no—
652C22—21no—
653C22—43no—
654C22—43no—
655C22—43no—
656C22—86no—
657C22—166no—
658C22C2×#123×C4316yes—
659C22C23×D4×C4311yescharacteristic
660C4—21no—
661C4—23no—
662C4—41no—
663C4—43no—
664C4—41no—
665C4—41no—
666C4—43no—
667C4—41no—
668C4—43no—
669C4C2×#123×C4316yes—
670C4C22×#41×C4311yescharacteristic
671C4C22×#41×C4311yescharacteristic
672C2—26no—
673C2—41no—
674C2—43no—
675C2—83no—
676C2C22×#123×C4311yescharacteristic
677C2C43×#358411yescharacteristic
678C2C43×#358511yescharacteristic
subgroupG/H
center, socleC22×C43C23×D4
commutator, Frattini, cosocleC2×C4C25×C43
prime radicalC43×#3488C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C43 ◁ C22×#41×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#3428C2semidirect
3. C43×#3099C2semidirect
4. C43×#3098C2semidirect
5. C43×#3096C2semidirect
6. C43×#3096C2semidirect
7. C43×#3094C2semidirect
8. C43×#3093C2semidirect
9. C43×#3091C2semidirect
10. C2×C43×#482C2semidirect
11. C43×#2913C2semidirect
12. C43×#2912C2semidirect
13. C43×#2897C2semidirect
14. C43×#2897C2semidirect
15. C43×#2880C2semidirect
31. C43×#520C22semidirect
32. C43×#520C22semidirect
37. C2×#117×C43C22semidirect
38. C2×#117×C43C22semidirect
39. C43×#485C22semidirect
40. C43×#485C22semidirect
41. C43×#485C22semidirect
42. C43×#484C22semidirect
43. C43×#483C22semidirect
44. C43×#482C22semidirect
45. C43×#482C22semidirect
46. C43×#482C22semidirect
47. C43×#482C22semidirect
48. C43×#482C22semidirect
49. C43×#482C22semidirect
50. C43×#481C22semidirect
51. C43×#481C22semidirect
52. C43×#480C22semidirect
53. C43×#480C22semidirect
54. C43×#428C22semidirect
55. C43×#428C22semidirect
56. C43×#428C22semidirect
57. C43×#428C22semidirect
58. C43×#427C22semidirect
59. C43×#427C22semidirect
60. C2×#107×C43C22semidirect
61. C2×#106×C43C22semidirect
62. C43×#418C22semidirect
63. C43×#418C22semidirect
64. C43×#417C22semidirect
65. C43×#417C22semidirect
66. C43×#416C22semidirect
67. C43×#416C22semidirect
68. C2×#102×C43C22semidirect
69. C2×#102×C43C22semidirect
70. C43×#408C22semidirect
71. C43×#408C22semidirect
72. C43×#407C22semidirect
73. C2×C22⋊C8×C43C22semidirect
305. #60523C43direct (N × H)
334. #3428C2×C43semidirect
335. #3099C2×C43semidirect
336. #3098C2×C43semidirect
337. #3096C2×C43semidirect
338. #3096C2×C43semidirect
339. #3094C2×C43semidirect
340. #3093C2×C43semidirect
341. #3091C2×C43semidirect
342. C2×#482C2×C43semidirect
343. #2913C2×C43semidirect
344. #2912C2×C43semidirect
345. #2897C2×C43semidirect
346. #2897C2×C43semidirect
347. #2880C2×C43semidirect
370. #520C22×C43semidirect
371. #520C22×C43semidirect
376. C2×#117C22×C43semidirect
377. C2×#117C22×C43semidirect
378. #485C22×C43semidirect
379. #485C22×C43semidirect
380. #485C22×C43semidirect
381. #484C22×C43semidirect
382. #483C22×C43semidirect
383. #482C22×C43semidirect
384. #482C22×C43semidirect
385. #482C22×C43semidirect
386. #482C22×C43semidirect
387. #482C22×C43semidirect
388. #482C22×C43semidirect
389. #481C22×C43semidirect
390. #481C22×C43semidirect
391. #480C22×C43semidirect
392. #480C22×C43semidirect
393. #428C22×C43semidirect
394. #428C22×C43semidirect
395. #428C22×C43semidirect
396. #428C22×C43semidirect
397. #427C22×C43semidirect
398. #427C22×C43semidirect
399. C2×#107C22×C43semidirect
400. C2×#106C22×C43semidirect
401. #418C22×C43semidirect
402. #418C22×C43semidirect
403. #417C22×C43semidirect
404. #417C22×C43semidirect
405. #416C22×C43semidirect
406. #416C22×C43semidirect
407. C2×#102C22×C43semidirect
408. C2×#102C22×C43semidirect
409. #408C22×C43semidirect
410. #408C22×C43semidirect
411. #407C22×C43semidirect
412. C2×C22⋊C8C22×C43semidirect
413. C43#60523direct (N × H)

Maximal subgroups

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

subgroupindex
C43×#34882
C43×#34282
C43×#30992
C43×#30982
C43×#30962
C43×#30942
C43×#30932
C43×#30912
C2×C43×#4822
C43×#29132
C43×#29122
C43×#28972
C43×#28802
#6052343