Finite Group Databasebeta

← C43×#33556 #24953573

Subgroups — C43×#33556 #24953573

Order 11008.

1134 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3540C211yesmaximal, characteristic, complemented
2C43×#3028C211yesmaximal, characteristic, complemented
3C43×#3025C211yesmaximal, characteristic, complemented
4C43×#3021C211yesmaximal, characteristic, complemented
5C43×#2200C214yesmaximal, complemented
6C43×#2198C214yesmaximal, complemented
7C43×#2128C211yesmaximal, characteristic, complemented
8C43×#2123C211yesmaximal, characteristic, complemented
9C43×#2120C211yesmaximal, characteristic, complemented
10C43×#585C2211yescharacteristic
11C2×AGL(1,ℤ/8)×C43—21no—
12C43×H(3,𝔽4)—21no—
13C43×#560C2212yescomplemented
14C43×#559C2212yescomplemented
15C43×#556—21no—
16C43×#555—21no—
17C43×#551—21no—
18C43×#548—21no—
19C43×#546—21no—
20C43×#542—22no—
21C43×#542—21no—
22C43×#538—22no—
23C43×#536—21no—
24C43×#536C2211yescharacteristic
25C43×#535C2211yescharacteristic
26C43×#525—21no—
27C43×#525—21no—
28C43×#525C2211yescharacteristic
29C43×#458—21no—
30C43×#458—22no—
31C43×#458C2212yescomplemented
32C43×#458C2214yescomplemented
33C43×B(4,𝔽2)—21no—
34C43×B(4,𝔽2)C2212yescomplemented
35C43×#454—22no—
36C43×#453C2214yes—
37C43×#421—21no—
38C43×#413C2211yescharacteristic
39C43×#410—21no—
40C43×#410—21no—
41C43×#410C2211yescharacteristic
42C43×#410C2211yescharacteristic
43C43×#353C2214yescomplemented
44C43×#352C2212yescomplemented
45C43×#352C2214yescomplemented
46C43×AΣL(1,𝔽16)C2212yescomplemented
472−1+4×C43—21no—
482−1+4×C43—41no—
49H(5,𝔽2)×C43—21no—
50H(5,𝔽2)×C43—21no—
51H(5,𝔽2)×C43—41no—
52H(5,𝔽2)×C43C2312yes—
53C2×#41×C43—21no—
54C2×#41×C43—21no—
55C2×#41×C43—21no—
56C2×#41×C43—21no—
57C2×#41×C43—42no—
58C2×#41×C43C2311yescharacteristic
59C22×Q8×C43D411yescharacteristic, complemented
60C22×D4×C43D411yescharacteristic, complemented
61C23×C4×C43D411yescharacteristic
62AGL(1,ℤ/8)×C43—24no—
63AGL(1,ℤ/8)×C43—42no—
64C2×SD16×C43—41no—
65C2×D8×C43—41no—
66C2×M16×C43—21no—
67C4⋊Q8×C43—21no—
68C4⋊Q8×C43—21no—
69C4⋊Q8×C43—41no—
70#127×C43C2312yes—
71#126×C43—22no—
72#126×C43—22no—
73#126×C43—22no—
74#124×C43—22no—
75#124×C43—21no—
76#124×C43—22no—
77#124×C43—22no—
78#124×C43—21no—
79#124×C43—22no—
80#124×C43—22no—
81#124×C43—41no—
82#124×C43D412yescomplemented
83#123×C43—22no—
84#123×C43—22no—
85#123×C43—22no—
86#123×C43—22no—
87#123×C43—24no—
88#123×C43D411yescharacteristic
89#123×C43D412yescomplemented
90#123×C43C2311yescharacteristic
91#123×C43C2312yes—
92C22⋊Q8×C43—21no—
93C22⋊Q8×C43—22no—
94C22⋊Q8×C43—22no—
95C22⋊Q8×C43—21no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—21no—
98C22⋊Q8×C43—42no—
99C22⋊Q8×C43—41no—
100#121×C43—21no—
101#121×C43—21no—
102#121×C43—22no—
103#121×C43—21no—
104#121×C43—21no—
105#121×C43—22no—
106#121×C43—22no—
107#121×C43—41no—
108#120×C43—22no—
109#120×C43—22no—
110#120×C43—21no—
111#120×C43—21no—
112#120×C43—22no—
113#120×C43D411yescharacteristic
114#120×C43C2311yescharacteristic
115C4×Q8×C43—21no—
116C4×Q8×C43—22no—
117C4×D4×C43—22no—
118C4×D4×C43—21no—
119C4×D4×C43—22no—
120C4×D4×C43—21no—
121C4×D4×C43—21no—
122C4×D4×C43—22no—
123C4×D4×C43—42no—
124#117×C43—21no—
125#117×C43—22no—
126#117×C43—21no—
127#117×C43—21no—
128#117×C43D411yescharacteristic
129#117×C43D411yescharacteristic, complemented
130#117×C43D411yescharacteristic, complemented
131C2×C22⋊C4×C43—22no—
132#104×C43—24no—
133#101×C43—21no—
134#100×C43C2312yes—
135#99×C43—21no—
136#99×C43—21no—
137#99×C43—22no—
138#99×C43—22no—
139#99×C43—24no—
140#99×C43C2312yes—
141#99×C43C2312yes—
142C24×C43—21no—
143C24×C43C2×D411yescharacteristic
144#41×C43—22no—
145#41×C43—22no—
146#41×C43—41no—
147#41×C43—41no—
148#41×C43—42no—
149#41×C43—41no—
150#41×C43—41no—
151#41×C43—41no—
152#41×C43—41no—
153#41×C43—41no—
154#41×C43—42no—
155#41×C43—42no—
156#41×C43—42no—
157#41×C43—41no—
158#41×C43—41no—
159#41×C43—41no—
160#41×C43—81no—
161#41×C43—81no—
162C2×Q8×C43—21no—
163C2×Q8×C43—21no—
164C2×Q8×C43—22no—
165C2×Q8×C43—21no—
166C2×Q8×C43—21no—
167C2×Q8×C43—21no—
168C2×Q8×C43—41no—
169C2×Q8×C43—41no—
170C2×Q8×C43—42no—
171C2×Q8×C43C2×D411yescharacteristic
172C2×D4×C43—21no—
173C2×D4×C43—21no—
174C2×D4×C43—22no—
175C2×D4×C43—22no—
176C2×D4×C43—21no—
177C2×D4×C43—21no—
178C2×D4×C43—22no—
179C2×D4×C43—22no—
180C2×D4×C43—22no—
181C2×D4×C43—22no—
182C2×D4×C43—21no—
183C2×D4×C43—21no—
184C2×D4×C43—42no—
185C2×D4×C43—42no—
186C2×D4×C43—42no—
187C2×D4×C43—42no—
188C2×D4×C43—41no—
189C2×D4×C43—41no—
190C2×D4×C43—41no—
191C2×D4×C43C2×D412yes—
192C2×D4×C43C2×D411yescharacteristic
193C2×D4×C43C2×D411yescharacteristic
194C2×D4×C43C2411yescharacteristic
195C22×C4×C43—22no—
196C22×C4×C43—22no—
197C22×C4×C43—22no—
198C22×C4×C43—22no—
199C22×C4×C43—21no—
200C22×C4×C43—21no—
201C22×C4×C43—41no—
202C22×C4×C43—41no—
203C22×C4×C43—41no—
204C22×C4×C43C2×D411yescharacteristic
205C22×C4×C43C2×D411yescharacteristic
206C22×C4×C43C2×D411yescharacteristic
207C22×C4×C43C2×D411yescharacteristic
208C22×C4×C43C2×D412yes—
209SD16×C43—44no—
210D8×C43—44no—
211M16×C43—22no—
212M16×C43—41no—
213C2×C8×C43—41no—
214C4⋊C4×C43—22no—
215C4⋊C4×C43—22no—
216C4⋊C4×C43—22no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—22no—
220C4⋊C4×C43—21no—
221C4⋊C4×C43—21no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—22no—
224C4⋊C4×C43—41no—
225C4⋊C4×C43—41no—
226C4⋊C4×C43—42no—
227C4⋊C4×C43—44no—
228C22⋊C4×C43—22no—
229C22⋊C4×C43—22no—
230C22⋊C4×C43—22no—
231C22⋊C4×C43—22no—
232C22⋊C4×C43—22no—
233C22⋊C4×C43—22no—
234C22⋊C4×C43—22no—
235C22⋊C4×C43—22no—
236C22⋊C4×C43—21no—
237C22⋊C4×C43—21no—
238C22⋊C4×C43—21no—
239C22⋊C4×C43—22no—
240C22⋊C4×C43—21no—
241C22⋊C4×C43—21no—
242C22⋊C4×C43—22no—
243C22⋊C4×C43—22no—
244C22⋊C4×C43—22no—
245C22⋊C4×C43—42no—
246C22⋊C4×C43—44no—
247C22⋊C4×C43—42no—
248C22⋊C4×C43C2×D411yescharacteristic
249C22⋊C4×C43C2×D411yescharacteristic
250C22⋊C4×C43C2×D412yes—
251C42×C43—22no—
252C42×C43—22no—
253C42×C43—21no—
254C42×C43—21no—
255C42×C43—41no—
256C42×C43—41no—
257C42×C43C2×D412yes—
258C23×C43—22no—
259C23×C43—22no—
260C23×C43—21no—
261C23×C43—22no—
262C23×C43—41no—
263C23×C43—41no—
264C23×C43—81no—
265C23×C43—81no—
266C23×C43—82no—
267C23×C43#12011yescharacteristic
268C23×C43C22×D411yescharacteristic
269C23×C43C22×D411yescharacteristic
270Q8×C43—22no—
271Q8×C43—41no—
272Q8×C43—41no—
273Q8×C43—41no—
274Q8×C43—41no—
275Q8×C43—41no—
276Q8×C43—41no—
277Q8×C43—81no—
278Q8×C43—82no—
279D4×C43—22no—
280D4×C43—41no—
281D4×C43—41no—
282D4×C43—41no—
283D4×C43—42no—
284D4×C43—41no—
285D4×C43—41no—
286D4×C43—42no—
287D4×C43—42no—
288D4×C43—42no—
289D4×C43—42no—
290D4×C43—41no—
291D4×C43—41no—
292D4×C43—41no—
293D4×C43—81no—
294D4×C43—82no—
295D4×C43—82no—
296D4×C43—82no—
297D4×C43—81no—
298D4×C43—82no—
299D4×C43—84no—
300C2×C4×C43—21no—
301C2×C4×C43—21no—
302C2×C4×C43—21no—
303C2×C4×C43—21no—
304C2×C4×C43—21no—
305C2×C4×C43—21no—
306C2×C4×C43—22no—
307C2×C4×C43—22no—
308C2×C4×C43—21no—
309C2×C4×C43—22no—
310C2×C4×C43—22no—
311C2×C4×C43—21no—
312C2×C4×C43—22no—
313C2×C4×C43—21no—
314C2×C4×C43—42no—
315C2×C4×C43—42no—
316C2×C4×C43—42no—
317C2×C4×C43—41no—
318C2×C4×C43—42no—
319C2×C4×C43—41no—
320C2×C4×C43—41no—
321C2×C4×C43—41no—
322C2×C4×C43—42no—
323C2×C4×C43—42no—
324C2×C4×C43—42no—
325C2×C4×C43—81no—
326C2×C4×C43—82no—
327C2×C4×C43—82no—
328C2×C4×C43#12011yescharacteristic
329C2×C4×C43#12011yescharacteristic
330C2×C4×C43#12011yescharacteristic
331C2×C4×C43C22×D411yescharacteristic
332C8×C43—42no—
333#33556C4311yesmaximal, characteristic, direct product factor, Sylow
334C22×C43—21no—
335C22×C43—21no—
336C22×C43—21no—
337C22×C43—41no—
338C22×C43—41no—
339C22×C43—41no—
340C22×C43—42no—
341C22×C43—41no—
342C22×C43—41no—
343C22×C43—42no—
344C22×C43—42no—
345C22×C43—42no—
346C22×C43—41no—
347C22×C43—42no—
348C22×C43—82no—
349C22×C43—82no—
350C22×C43—81no—
351C22×C43—161no—
352C22×C43—162no—
353C22×C43C2×#12011yescharacteristic
354C4×C43—21no—
355C4×C43—21no—
356C4×C43—21no—
357C4×C43—41no—
358C4×C43—42no—
359C4×C43—42no—
360C4×C43—41no—
361C4×C43—42no—
362C4×C43—41no—
363C4×C43—42no—
364C4×C43—82no—
365C4×C43—82no—
366C4×C43B(4,𝔽2)11yescharacteristic
367C4×C43B(4,𝔽2)11yescharacteristic
368#3540C2×C4311yescharacteristic, complemented
369#3028C2×C4311yescharacteristic, complemented
370#3025C2×C4311yescharacteristic, complemented
371#3021C2×C4311yescharacteristic, complemented
372#2200C2×C4314yescomplemented
373#2198C2×C4314yescomplemented
374#2128C2×C4311yescharacteristic, complemented
375#2123C2×C4311yescharacteristic, complemented
376#2120C2×C4311yescharacteristic, complemented
377C2×C43—21no—
378C2×C43—41no—
379C2×C43—41no—
380C2×C43—41no—
381C2×C43—81no—
382C2×C43—82no—
383C2×C43—82no—
384C2×C43C2×B(4,𝔽2)11yescharacteristic
385#585C22×C4311yescharacteristic
386C2×AGL(1,ℤ/8)—21no—
387H(3,𝔽4)—21no—
388#560C22×C4312yescomplemented
389#559C22×C4312yescomplemented
390#556—21no—
391#555—21no—
392#551—21no—
393#548—21no—
394#546—21no—
395#542—22no—
396#542—21no—
397#538—22no—
398#536—21no—
399#536C22×C4311yescharacteristic
400#535C22×C4311yescharacteristic
401#525—21no—
402#525—21no—
403#525C22×C4311yescharacteristic
404#458—21no—
405#458—22no—
406#458C22×C4312yescomplemented
407#458C22×C4314yescomplemented
408B(4,𝔽2)—21no—
409B(4,𝔽2)C22×C4312yescomplemented
410#454—22no—
411#453C22×C4314yes—
412#421—21no—
413#413C22×C4311yescharacteristic
414#410—21no—
415#410—21no—
416#410C22×C4311yescharacteristic
417#410C22×C4311yescharacteristic
418#353C22×C4314yescomplemented
419#352C22×C4312yescomplemented
420#352C22×C4314yescomplemented
421AΣL(1,𝔽16)C22×C4312yescomplemented
422C43#3355611yescharacteristic, direct product factor, Sylow
4232−1+4—21no—
4242−1+4—41no—
425H(5,𝔽2)—21no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—41no—
428H(5,𝔽2)C23×C4312yes—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—42no—
434C2×#41C23×C4311yescharacteristic
435C22×Q8D4×C4311yescharacteristic, complemented
436C22×D4D4×C4311yescharacteristic, complemented
437C23×C4D4×C4311yescharacteristic
438AGL(1,ℤ/8)—24no—
439AGL(1,ℤ/8)—42no—
440C2×SD16—41no—
441C2×D8—41no—
442C2×M16—21no—
443C4⋊Q8—21no—
444C4⋊Q8—21no—
445C4⋊Q8—41no—
446#127C23×C4312yes—
447#126—22no—
448#126—22no—
449#126—22no—
450#124—22no—
451#124—21no—
452#124—22no—
453#124—22no—
454#124—21no—
455#124—22no—
456#124—22no—
457#124—41no—
458#124D4×C4312yescomplemented
459#123—22no—
460#123—22no—
461#123—22no—
462#123—22no—
463#123—24no—
464#123D4×C4311yescharacteristic
465#123D4×C4312yescomplemented
466#123C23×C4311yescharacteristic
467#123C23×C4312yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—42no—
475C22⋊Q8—41no—
476#121—21no—
477#121—21no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—22no—
482#121—22no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—21no—
487#120—21no—
488#120—22no—
489#120D4×C4311yescharacteristic
490#120C23×C4311yescharacteristic
491C4×Q8—21no—
492C4×Q8—22no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—22no—
499C4×D4—42no—
500#117—21no—
501#117—22no—
502#117—21no—
503#117—21no—
504#117D4×C4311yescharacteristic
505#117D4×C4311yescharacteristic, complemented
506#117D4×C4311yescharacteristic, complemented
507C2×C22⋊C4—22no—
508#104—24no—
509#101—21no—
510#100C23×C4312yes—
511#99—21no—
512#99—21no—
513#99—22no—
514#99—22no—
515#99—24no—
516#99C23×C4312yes—
517#99C23×C4312yes—
518C24—21no—
519C24C2×D4×C4311yescharacteristic
520#41—22no—
521#41—22no—
522#41—41no—
523#41—41no—
524#41—42no—
525#41—41no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—42no—
531#41—42no—
532#41—42no—
533#41—41no—
534#41—41no—
535#41—41no—
536#41—81no—
537#41—81no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—22no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C4311yescharacteristic
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—22no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—42no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—41no—
566C2×D4—42no—
567C2×D4C2×D4×C4311yescharacteristic
568C2×D4C2×D4×C4311yescharacteristic
569C2×D4C2×D4×C4312yes—
570C2×D4C24×C4311yescharacteristic
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—41no—
578C22×C4—41no—
579C22×C4—41no—
580C22×C4C2×D4×C4311yescharacteristic
581C22×C4C2×D4×C4311yescharacteristic
582C22×C4C2×D4×C4311yescharacteristic
583C22×C4C2×D4×C4311yescharacteristic
584C22×C4C2×D4×C4312yes—
585SD16—44no—
586D8—44no—
587M16—22no—
588M16—41no—
589C2×C8—41no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—41no—
601C4⋊C4—41no—
602C4⋊C4—42no—
603C4⋊C4—44no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—21no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—42no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4C2×D4×C4311yescharacteristic
625C22⋊C4C2×D4×C4311yescharacteristic
626C22⋊C4C2×D4×C4312yes—
627C42—22no—
628C42—22no—
629C42—21no—
630C42—21no—
631C42—41no—
632C42—41no—
633C42C2×D4×C4312yes—
634C23—22no—
635C23—22no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—81no—
641C23—81no—
642C23—82no—
643C23#120×C4311yescharacteristic
644C23C22×D4×C4311yescharacteristic
645C23C22×D4×C4311yescharacteristic
646Q8—22no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—81no—
654Q8—82no—
655D4—22no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—82no—
670D4—81no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—81no—
675D4—84no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—81no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4#120×C4311yescharacteristic
705C2×C4#120×C4311yescharacteristic
706C2×C4#120×C4311yescharacteristic
707C2×C4C22×D4×C4311yescharacteristic
708C8—42no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—41no—
722C22—42no—
723C22—82no—
724C22—82no—
725C22—81no—
726C22—161no—
727C22—162no—
728C22C2×#120×C4311yescharacteristic
729C4—21no—
730C4—21no—
731C4—21no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—82no—
740C4—82no—
741C4C43×B(4,𝔽2)11yescharacteristic
742C4C43×B(4,𝔽2)11yescharacteristic
743C2—21no—
744C2—41no—
745C2—41no—
746C2—41no—
747C2—81no—
748C2—82no—
749C2—82no—
750C2C2×C43×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C43C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×D4C24×C43
LCSG ▷ C2×D4 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C43 ◁ C2×C4×C43 ◁ C2×#41×C43 ◁ G

Complements

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

NH ≅ G/Ntype
1. C43×#3540C2semidirect
2. C43×#3028C2semidirect
3. C43×#3025C2semidirect
4. C43×#3021C2semidirect
5. C43×#2200C2semidirect
6. C43×#2198C2semidirect
7. C43×#2128C2semidirect
8. C43×#2123C2semidirect
9. C43×#2120C2semidirect
13. C43×#560C22semidirect
14. C43×#559C22semidirect
31. C43×#458C22semidirect
32. C43×#458C22semidirect
34. C43×B(4,𝔽2)C22semidirect
43. C43×#353C22semidirect
44. C43×#352C22semidirect
45. C43×#352C22semidirect
46. C43×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C43D4semidirect
60. C22×D4×C43D4semidirect
82. #124×C43D4semidirect
89. #123×C43D4semidirect
129. #117×C43D4semidirect
130. #117×C43D4semidirect
333. #33556C43direct (N × H)
368. #3540C2×C43semidirect
369. #3028C2×C43semidirect
370. #3025C2×C43semidirect
371. #3021C2×C43semidirect
372. #2200C2×C43semidirect
373. #2198C2×C43semidirect
374. #2128C2×C43semidirect
375. #2123C2×C43semidirect
376. #2120C2×C43semidirect
388. #560C22×C43semidirect
389. #559C22×C43semidirect
406. #458C22×C43semidirect
407. #458C22×C43semidirect
409. B(4,𝔽2)C22×C43semidirect
418. #353C22×C43semidirect
419. #352C22×C43semidirect
420. #352C22×C43semidirect
421. AΣL(1,𝔽16)C22×C43semidirect
422. C43#33556direct (N × H)
435. C22×Q8D4×C43semidirect
436. C22×D4D4×C43semidirect
458. #124D4×C43semidirect
465. #123D4×C43semidirect
505. #117D4×C43semidirect
506. #117D4×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35402
C43×#30282
C43×#30252
C43×#30212
C43×#22002
C43×#21982
C43×#21282
C43×#21232
C43×#21202
#3355643