Finite Group Databasebeta

← C43×#33560 #24953577

Subgroups — C43×#33560 #24953577

Order 11008.

1132 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3551C211yesmaximal, characteristic, complemented
2C43×#3028C211yesmaximal, characteristic, complemented
3C43×#3027C211yesmaximal, characteristic, complemented
4C43×#3018C211yesmaximal, characteristic, complemented
5C43×#2200C214yesmaximal, complemented
6C43×#2197C214yesmaximal, complemented
7C43×#2126C211yesmaximal, characteristic, complemented
8C43×#2123C211yesmaximal, characteristic, complemented
9C43×#2122C211yesmaximal, characteristic, complemented
10C43×#585C2211yescharacteristic
11C43×#575—21no—
12C43×#563—21no—
13C43×#560C2212yescomplemented
14C43×#555—21no—
15C43×#553—21no—
16C43×#552—21no—
17C43×#551C2212yescomplemented
18C43×#548—21no—
19C43×#546—21no—
20C43×#540—22no—
21C43×#538—22no—
22C43×#537—21no—
23C43×#536—21no—
24C43×#536C2211yescharacteristic
25C43×#535—21no—
26C43×#535C2211yescharacteristic
27C43×#532C2211yescharacteristic
28C43×#529—21no—
29C43×#458—22no—
30C43×#458C2214yes—
31C43×B(4,𝔽2)—22no—
32C43×B(4,𝔽2)C2214yes—
33C43×#456—21no—
34C43×#455C2212yes—
35C43×#454—21no—
36C43×#453C2212yes—
37C2×#104×C43—21no—
38C43×#413C2211yescharacteristic
39C43×#410—21no—
40C43×#410—21no—
41C43×#410C2211yescharacteristic
42C43×#410C2211yescharacteristic
43C43×#354C2212yescomplemented
44C43×#353C2212yescomplemented
45C43×#352C2214yescomplemented
46C43×AΣL(1,𝔽16)C2214yescomplemented
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×C43D411yescharacteristic, complemented
59C2×#41×C43C2311yescharacteristic
60C22×Q8×C43D411yescharacteristic, complemented
61C22×D4×C43D411yescharacteristic
62#137×C43—22no—
63#137×C43—41no—
64AGL(1,ℤ/8)×C43—22no—
65AGL(1,ℤ/8)×C43—41no—
66#135×C43—42no—
67C2×M16×C43—21no—
68C4⋊Q8×C43—21no—
69C4⋊Q8×C43—41no—
70C4⋊Q8×C43D411yescharacteristic, complemented
71#127×C43—21no—
72#127×C43—41no—
73#127×C43C2311yescharacteristic
74#126×C43—22no—
75#126×C43—22no—
76#126×C43—22no—
77#125×C43—21no—
78#125×C43—22no—
79#124×C43—21no—
80#124×C43—22no—
81#124×C43—21no—
82#124×C43—21no—
83#124×C43—41no—
84#124×C43—41no—
85#124×C43D411yescharacteristic, complemented
86#124×C43C2311yescharacteristic
87#123×C43—22no—
88#123×C43—22no—
89#123×C43—22no—
90#123×C43—22no—
91#123×C43—24no—
92#123×C43D412yescomplemented
93#123×C43C2312yes—
94C22⋊Q8×C43—21no—
95C22⋊Q8×C43—22no—
96C22⋊Q8×C43—22no—
97C22⋊Q8×C43—21no—
98C22⋊Q8×C43—21no—
99C22⋊Q8×C43—42no—
100#121×C43—22no—
101#121×C43—22no—
102#121×C43—21no—
103#121×C43—22no—
104#121×C43—21no—
105#121×C43—21no—
106#121×C43—22no—
107#121×C43—21no—
108#121×C43—21no—
109#121×C43—22no—
110#121×C43—22no—
111#121×C43—42no—
112#120×C43—22no—
113#120×C43—24no—
114#120×C43D412yes—
115#120×C43C2312yes—
116C4×Q8×C43—21no—
117C4×D4×C43—22no—
118C4×D4×C43—21no—
119C4×D4×C43—22no—
120C4×D4×C43—21no—
121C4×D4×C43—21no—
122C4×D4×C43—22no—
123#117×C43—22no—
124#117×C43—22no—
125#117×C43—21no—
126#117×C43—21no—
127#117×C43D411yescharacteristic
128#117×C43D411yescharacteristic, complemented
129C2×C4⋊C4×C43—21no—
130C2×C22⋊C4×C43—22no—
131C2×C42×C43D411yescharacteristic, complemented
132#104×C43—22no—
133#104×C43—22no—
134#101×C43—21no—
135#100×C43C2312yes—
136#99×C43—21no—
137#99×C43—21no—
138#99×C43—24no—
139#99×C43—24no—
140#99×C43C2312yes—
141#99×C43C2312yes—
142C24×C43C2×D412yes—
143#41×C43—22no—
144#41×C43—22no—
145#41×C43—41no—
146#41×C43—41no—
147#41×C43—42no—
148#41×C43—41no—
149#41×C43—41no—
150#41×C43—41no—
151#41×C43—41no—
152#41×C43—41no—
153#41×C43—42no—
154#41×C43—42no—
155#41×C43—41no—
156#41×C43—41no—
157#41×C43—42no—
158#41×C43—41no—
159#41×C43—41no—
160#41×C43—41no—
161#41×C43—81no—
162#41×C43—81no—
163C2×Q8×C43—21no—
164C2×Q8×C43—21no—
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×Q8×C43C2×D411yescharacteristic
173C2×D4×C43—21no—
174C2×D4×C43—21no—
175C2×D4×C43—22no—
176C2×D4×C43—22no—
177C2×D4×C43—21no—
178C2×D4×C43—21no—
179C2×D4×C43—22no—
180C2×D4×C43—21no—
181C2×D4×C43—22no—
182C2×D4×C43—22no—
183C2×D4×C43—21no—
184C2×D4×C43—22no—
185C2×D4×C43—21no—
186C2×D4×C43—21no—
187C2×D4×C43—42no—
188C2×D4×C43—42no—
189C2×D4×C43—42no—
190C2×D4×C43—44no—
191C2×D4×C43—41no—
192C2×D4×C43—41no—
193C2×D4×C43—41no—
194C2×D4×C43C2×D411yescharacteristic
195C2×D4×C43C2×D411yescharacteristic
196C2×D4×C43C2×D411yescharacteristic
197C2×D4×C43C2411yescharacteristic
198C22×C4×C43—22no—
199C22×C4×C43—22no—
200C22×C4×C43—22no—
201C22×C4×C43—22no—
202C22×C4×C43—22no—
203C22×C4×C43—21no—
204C22×C4×C43—21no—
205C22×C4×C43—41no—
206C22×C4×C43C2×D411yescharacteristic
207C22×C4×C43C2×D411yescharacteristic
208C22×C4×C43C2×D411yescharacteristic
209C22×C4×C43C2×D412yes—
210Q16×C43—42no—
211SD16×C43—42no—
212SD16×C43—42no—
213D8×C43—42no—
214M16×C43—22no—
215M16×C43—41no—
216C2×C8×C43—41no—
217C4⋊C4×C43—22no—
218C4⋊C4×C43—22no—
219C4⋊C4×C43—22no—
220C4⋊C4×C43—22no—
221C4⋊C4×C43—22no—
222C4⋊C4×C43—22no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43—22no—
228C4⋊C4×C43—41no—
229C4⋊C4×C43—41no—
230C4⋊C4×C43—44no—
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—22no—
239C22⋊C4×C43—22no—
240C22⋊C4×C43—22no—
241C22⋊C4×C43—21no—
242C22⋊C4×C43—22no—
243C22⋊C4×C43—21no—
244C22⋊C4×C43—22no—
245C22⋊C4×C43—22no—
246C22⋊C4×C43—44no—
247C22⋊C4×C43—44no—
248C22⋊C4×C43C2×D412yes—
249C22⋊C4×C43C2×D412yes—
250C42×C43—22no—
251C42×C43—21no—
252C42×C43—21no—
253C42×C43—21no—
254C42×C43—41no—
255C42×C43—41no—
256C42×C43C2×D411yescharacteristic
257C42×C43C2×D411yescharacteristic
258C23×C43—22no—
259C23×C43—22no—
260C23×C43—22no—
261C23×C43—21no—
262C23×C43—41no—
263C23×C43—42no—
264C23×C43—82no—
265C23×C43#12011yescharacteristic
266C23×C43C22×D411yescharacteristic
267C23×C43C22×D411yescharacteristic
268Q8×C43—22no—
269Q8×C43—41no—
270Q8×C43—41no—
271Q8×C43—41no—
272Q8×C43—41no—
273Q8×C43—41no—
274Q8×C43—41no—
275Q8×C43—41no—
276Q8×C43—81no—
277D4×C43—22no—
278D4×C43—41no—
279D4×C43—41no—
280D4×C43—41no—
281D4×C43—41no—
282D4×C43—41no—
283D4×C43—41no—
284D4×C43—42no—
285D4×C43—42no—
286D4×C43—42no—
287D4×C43—42no—
288D4×C43—41no—
289D4×C43—41no—
290D4×C43—41no—
291D4×C43—81no—
292D4×C43—81no—
293D4×C43—82no—
294D4×C43—81no—
295D4×C43—82no—
296D4×C43—82no—
297D4×C43—81no—
298D4×C43—82no—
299D4×C43—164no—
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—21no—
311C2×C4×C43—22no—
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—42no—
322C2×C4×C43—42no—
323C2×C4×C43—42no—
324C2×C4×C43—82no—
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#33560C4311yesmaximal, 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—42no—
342C22×C43—41no—
343C22×C43—41no—
344C22×C43—42no—
345C22×C43—42no—
346C22×C43—41no—
347C22×C43—82no—
348C22×C43—82no—
349C22×C43—84no—
350C22×C43—161no—
351C22×C43C2×#12011yescharacteristic
352C4×C43—21no—
353C4×C43—21no—
354C4×C43—21no—
355C4×C43—41no—
356C4×C43—42no—
357C4×C43—42no—
358C4×C43—41no—
359C4×C43—42no—
360C4×C43—41no—
361C4×C43—42no—
362C4×C43—82no—
363C4×C43—82no—
364C4×C43B(4,𝔽2)11yescharacteristic
365C4×C43B(4,𝔽2)11yescharacteristic
366#3551C2×C4311yescharacteristic, complemented
367#3028C2×C4311yescharacteristic, complemented
368#3027C2×C4311yescharacteristic, complemented
369#3018C2×C4311yescharacteristic, complemented
370#2200C2×C4314yescomplemented
371#2197C2×C4314yescomplemented
372#2126C2×C4311yescharacteristic, complemented
373#2123C2×C4311yescharacteristic, complemented
374#2122C2×C4311yescharacteristic, complemented
375C2×C43—21no—
376C2×C43—41no—
377C2×C43—41no—
378C2×C43—41no—
379C2×C43—81no—
380C2×C43—82no—
381C2×C43—82no—
382C2×C43C2×B(4,𝔽2)11yescharacteristic
383#585C22×C4311yescharacteristic
384#575—21no—
385#563—21no—
386#560C22×C4312yescomplemented
387#555—21no—
388#553—21no—
389#552—21no—
390#551C22×C4312yescomplemented
391#548—21no—
392#546—21no—
393#540—22no—
394#538—22no—
395#537—21no—
396#536—21no—
397#536C22×C4311yescharacteristic
398#535—21no—
399#535C22×C4311yescharacteristic
400#532C22×C4311yescharacteristic
401#529—21no—
402#458—22no—
403#458C22×C4314yes—
404B(4,𝔽2)—22no—
405B(4,𝔽2)C22×C4314yes—
406#456—21no—
407#455C22×C4312yes—
408#454—21no—
409#453C22×C4312yes—
410C2×#104—21no—
411#413C22×C4311yescharacteristic
412#410—21no—
413#410—21no—
414#410C22×C4311yescharacteristic
415#410C22×C4311yescharacteristic
416#354C22×C4312yescomplemented
417#353C22×C4312yescomplemented
418#352C22×C4314yescomplemented
419AΣL(1,𝔽16)C22×C4314yescomplemented
420C43#3356011yescharacteristic, direct product factor, Sylow
4212−1+4—21no—
4222−1+4—41no—
423H(5,𝔽2)—21no—
424H(5,𝔽2)—21no—
425H(5,𝔽2)—41no—
426H(5,𝔽2)C23×C4312yes—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—42no—
432C2×#41D4×C4311yescharacteristic, complemented
433C2×#41C23×C4311yescharacteristic
434C22×Q8D4×C4311yescharacteristic, complemented
435C22×D4D4×C4311yescharacteristic
436#137—22no—
437#137—41no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440#135—42no—
441C2×M16—21no—
442C4⋊Q8—21no—
443C4⋊Q8—41no—
444C4⋊Q8D4×C4311yescharacteristic, complemented
445#127—21no—
446#127—41no—
447#127C23×C4311yescharacteristic
448#126—22no—
449#126—22no—
450#126—22no—
451#125—21no—
452#125—22no—
453#124—21no—
454#124—22no—
455#124—21no—
456#124—21no—
457#124—41no—
458#124—41no—
459#124D4×C4311yescharacteristic, complemented
460#124C23×C4311yescharacteristic
461#123—22no—
462#123—22no—
463#123—22no—
464#123—22no—
465#123—24no—
466#123D4×C4312yescomplemented
467#123C23×C4312yes—
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—22no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—42no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—22no—
478#121—21no—
479#121—21no—
480#121—22no—
481#121—21no—
482#121—21no—
483#121—22no—
484#121—22no—
485#121—42no—
486#120—22no—
487#120—24no—
488#120D4×C4312yes—
489#120C23×C4312yes—
490C4×Q8—21no—
491C4×D4—22no—
492C4×D4—21no—
493C4×D4—22no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—22no—
497#117—22no—
498#117—22no—
499#117—21no—
500#117—21no—
501#117D4×C4311yescharacteristic
502#117D4×C4311yescharacteristic, complemented
503C2×C4⋊C4—21no—
504C2×C22⋊C4—22no—
505C2×C42D4×C4311yescharacteristic, complemented
506#104—22no—
507#104—22no—
508#101—21no—
509#100C23×C4312yes—
510#99—21no—
511#99—21no—
512#99—24no—
513#99—24no—
514#99C23×C4312yes—
515#99C23×C4312yes—
516C24C2×D4×C4312yes—
517#41—22no—
518#41—22no—
519#41—41no—
520#41—41no—
521#41—42no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—41no—
533#41—41no—
534#41—41no—
535#41—81no—
536#41—81no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—41no—
543C2×Q8—41no—
544C2×Q8—42no—
545C2×Q8C2×D4×C4311yescharacteristic
546C2×Q8C2×D4×C4311yescharacteristic
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—41no—
567C2×D4—44no—
568C2×D4C2×D4×C4311yescharacteristic
569C2×D4C2×D4×C4311yescharacteristic
570C2×D4C2×D4×C4311yescharacteristic
571C2×D4C24×C4311yescharacteristic
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—41no—
580C22×C4C2×D4×C4311yescharacteristic
581C22×C4C2×D4×C4311yescharacteristic
582C22×C4C2×D4×C4311yescharacteristic
583C22×C4C2×D4×C4312yes—
584Q16—42no—
585SD16—42no—
586SD16—42no—
587D8—42no—
588M16—22no—
589M16—41no—
590C2×C8—41no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—22no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—22no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—44no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—44no—
621C22⋊C4—44no—
622C22⋊C4C2×D4×C4312yes—
623C22⋊C4C2×D4×C4312yes—
624C42—22no—
625C42—21no—
626C42—21no—
627C42—21no—
628C42—41no—
629C42—41no—
630C42C2×D4×C4311yescharacteristic
631C42C2×D4×C4311yescharacteristic
632C23—22no—
633C23—22no—
634C23—22no—
635C23—21no—
636C23—41no—
637C23—42no—
638C23—82no—
639C23#120×C4311yescharacteristic
640C23C22×D4×C4311yescharacteristic
641C23C22×D4×C4311yescharacteristic
642Q8—22no—
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—81no—
651D4—22no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—42no—
659D4—42no—
660D4—42no—
661D4—42no—
662D4—41no—
663D4—41no—
664D4—41no—
665D4—81no—
666D4—81no—
667D4—82no—
668D4—82no—
669D4—82no—
670D4—82no—
671D4—81no—
672D4—81no—
673D4—164no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—82no—
699C2×C4—82no—
700C2×C4—81no—
701C2×C4—82no—
702C2×C4#120×C4311yescharacteristic
703C2×C4#120×C4311yescharacteristic
704C2×C4#120×C4311yescharacteristic
705C2×C4C22×D4×C4311yescharacteristic
706C8—42no—
707C22—21no—
708C22—21no—
709C22—21no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—42no—
715C22—41no—
716C22—42no—
717C22—42no—
718C22—41no—
719C22—42no—
720C22—82no—
721C22—84no—
722C22—82no—
723C22—161no—
724C22C2×#120×C4311yescharacteristic
725C4—21no—
726C4—21no—
727C4—21no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—42no—
733C4—41no—
734C4—42no—
735C4—82no—
736C4—82no—
737C4C43×B(4,𝔽2)11yescharacteristic
738C4C43×B(4,𝔽2)11yescharacteristic
739C2—21no—
740C2—41no—
741C2—41no—
742C2—41no—
743C2—82no—
744C2—81no—
745C2—82no—
746C2C2×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×#3551C2semidirect
2. C43×#3028C2semidirect
3. C43×#3027C2semidirect
4. C43×#3018C2semidirect
5. C43×#2200C2semidirect
6. C43×#2197C2semidirect
7. C43×#2126C2semidirect
8. C43×#2123C2semidirect
9. C43×#2122C2semidirect
13. C43×#560C22semidirect
17. C43×#551C22semidirect
43. C43×#354C22semidirect
44. C43×#353C22semidirect
45. C43×#352C22semidirect
46. C43×AΣL(1,𝔽16)C22semidirect
58. C2×#41×C43D4semidirect
60. C22×Q8×C43D4semidirect
70. C4⋊Q8×C43D4semidirect
85. #124×C43D4semidirect
92. #123×C43D4semidirect
128. #117×C43D4semidirect
131. C2×C42×C43D4semidirect
333. #33560C43direct (N × H)
366. #3551C2×C43semidirect
367. #3028C2×C43semidirect
368. #3027C2×C43semidirect
369. #3018C2×C43semidirect
370. #2200C2×C43semidirect
371. #2197C2×C43semidirect
372. #2126C2×C43semidirect
373. #2123C2×C43semidirect
374. #2122C2×C43semidirect
386. #560C22×C43semidirect
390. #551C22×C43semidirect
416. #354C22×C43semidirect
417. #353C22×C43semidirect
418. #352C22×C43semidirect
419. AΣL(1,𝔽16)C22×C43semidirect
420. C43#33560direct (N × H)
432. C2×#41D4×C43semidirect
434. C22×Q8D4×C43semidirect
444. C4⋊Q8D4×C43semidirect
459. #124D4×C43semidirect
466. #123D4×C43semidirect
502. #117D4×C43semidirect
505. C2×C42D4×C43semidirect

Maximal subgroups

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

subgroupindex
C43×#35512
C43×#30282
C43×#30272
C43×#30182
C43×#22002
C43×#21972
C43×#21262
C43×#21232
C43×#21222
#3356043