Finite Group Databasebeta

← C43×#33555 #24953572

Subgroups — C43×#33555 #24953572

Order 11008.

1146 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C43×#3540C211yesmaximal, characteristic, complemented
2C43×#3027C211yesmaximal, characteristic, complemented
3C43×#3025C211yesmaximal, characteristic, complemented
4C43×#3022C211yesmaximal, characteristic, complemented
5C43×#2199C214yesmaximal, complemented
6C43×#2197C214yesmaximal, complemented
7C43×#2129C211yesmaximal, characteristic, complemented
8C43×#2122C211yesmaximal, characteristic, complemented
9C43×#2120C211yesmaximal, characteristic, complemented
10C43×#585C2211yescharacteristic
11C2×#137×C43—21no—
12C43×H(3,𝔽4)C2212yescomplemented
13C43×#560—21no—
14C43×#559—21no—
15C43×#556—21no—
16C43×#555—21no—
17C43×#551C2212yescomplemented
18C43×#548—21no—
19C43×#546—21no—
20C43×#542—22no—
21C43×#542—21no—
22C43×#538—22no—
23C43×#536C2211yescharacteristic
24C43×#535—21no—
25C43×#535C2211yescharacteristic
26C43×#525—21no—
27C43×#525—21no—
28C43×#525C2211yescharacteristic
29C43×#458—21no—
30C43×#458C2212yes—
31C43×B(4,𝔽2)—21no—
32C43×B(4,𝔽2)—22no—
33C43×B(4,𝔽2)C2214yes—
34C43×B(4,𝔽2)C2212yes—
35C43×#456—22no—
36C43×#455C2214yes—
37C43×#421—21no—
38C43×#413C2211yescharacteristic
39C43×#410—21no—
40C43×#410—21no—
41C43×#410C2211yescharacteristic
42C43×#410C2211yescharacteristic
43C43×#354C2214yescomplemented
44C43×#352C2212yescomplemented
45C43×AΣL(1,𝔽16)C2212yescomplemented
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×C43C2311yescharacteristic
59C22×Q8×C43D411yescharacteristic, complemented
60C22×D4×C43D411yescharacteristic, complemented
61C23×C4×C43D411yescharacteristic, complemented
62#137×C43—24no—
63#137×C43—42no—
64C2×Q16×C43—41no—
65C2×SD16×C43—41no—
66C2×M16×C43—21no—
67C4⋊Q8×C43—21no—
68C4⋊Q8×C43D412yescomplemented
69#127×C43—21no—
70#127×C43—41no—
71#126×C43—22no—
72#126×C43—22no—
73#126×C43—22no—
74#124×C43—22no—
75#124×C43—21no—
76#124×C43—21no—
77#124×C43—22no—
78#124×C43—22no—
79#124×C43—22no—
80#124×C43—22no—
81#124×C43—41no—
82#124×C43C2312yes—
83#123×C43—22no—
84#123×C43—22no—
85#123×C43—21no—
86#123×C43—21no—
87#123×C43—22no—
88#123×C43—22no—
89#123×C43D411yescharacteristic, complemented
90#123×C43C2311yescharacteristic
91C22⋊Q8×C43—21no—
92C22⋊Q8×C43—22no—
93C22⋊Q8×C43—21no—
94C22⋊Q8×C43—22no—
95C22⋊Q8×C43—21no—
96C22⋊Q8×C43—21no—
97C22⋊Q8×C43—41no—
98#121×C43—21no—
99#121×C43—22no—
100#121×C43—22no—
101#121×C43—22no—
102#121×C43—21no—
103#121×C43—21no—
104#121×C43—21no—
105#121×C43—42no—
106#121×C43—41no—
107#120×C43—22no—
108#120×C43—22no—
109#120×C43—22no—
110#120×C43—24no—
111#120×C43D411yescharacteristic, complemented
112#120×C43D412yescomplemented
113#120×C43C2311yescharacteristic
114#120×C43C2312yes—
115C4×Q8×C43—21no—
116C4×Q8×C43—22no—
117C4×D4×C43—22no—
118C4×D4×C43—22no—
119C4×D4×C43—21no—
120C4×D4×C43—22no—
121C4×D4×C43—21no—
122C4×D4×C43—21no—
123C4×D4×C43—42no—
124#117×C43—21no—
125#117×C43—22no—
126#117×C43—21no—
127#117×C43—21no—
128#117×C43D411yescharacteristic, complemented
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—24no—
138#99×C43—22no—
139#99×C43—22no—
140#99×C43C2312yes—
141#99×C43C2312yes—
142C24×C43C2×D412yes—
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—41no—
168C2×Q8×C43—41no—
169C2×Q8×C43—42no—
170C2×Q8×C43C2×D412yes—
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—21no—
179C2×D4×C43—22no—
180C2×D4×C43—22no—
181C2×D4×C43—22no—
182C2×D4×C43—21no—
183C2×D4×C43—22no—
184C2×D4×C43—21no—
185C2×D4×C43—42no—
186C2×D4×C43—42no—
187C2×D4×C43—42no—
188C2×D4×C43—42no—
189C2×D4×C43—44no—
190C2×D4×C43—41no—
191C2×D4×C43—41no—
192C2×D4×C43—41no—
193C2×D4×C43C2×D411yescharacteristic
194C2×D4×C43C2×D411yescharacteristic
195C2×D4×C43C2411yescharacteristic
196C22×C4×C43—22no—
197C22×C4×C43—22no—
198C22×C4×C43—22no—
199C22×C4×C43—22no—
200C22×C4×C43—21no—
201C22×C4×C43—21no—
202C22×C4×C43—21no—
203C22×C4×C43—41no—
204C22×C4×C43—41no—
205C22×C4×C43—41no—
206C22×C4×C43C2×D411yescharacteristic
207C22×C4×C43C2×D411yescharacteristic
208C22×C4×C43C2×D411yescharacteristic
209C22×C4×C43C2×D411yescharacteristic
210Q16×C43—44no—
211SD16×C43—44no—
212M16×C43—22no—
213M16×C43—41no—
214C2×C8×C43—41no—
215C4⋊C4×C43—22no—
216C4⋊C4×C43—22no—
217C4⋊C4×C43—22no—
218C4⋊C4×C43—21no—
219C4⋊C4×C43—21no—
220C4⋊C4×C43—22no—
221C4⋊C4×C43—22no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—41no—
226C4⋊C4×C43—41no—
227C4⋊C4×C43—42no—
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—21no—
235C22⋊C4×C43—22no—
236C22⋊C4×C43—22no—
237C22⋊C4×C43—21no—
238C22⋊C4×C43—21no—
239C22⋊C4×C43—21no—
240C22⋊C4×C43—21no—
241C22⋊C4×C43—22no—
242C22⋊C4×C43—22no—
243C22⋊C4×C43—22no—
244C22⋊C4×C43—22no—
245C22⋊C4×C43—42no—
246C22⋊C4×C43—42no—
247C22⋊C4×C43—44no—
248C22⋊C4×C43C2×D412yes—
249C22⋊C4×C43C2×D411yescharacteristic
250C22⋊C4×C43C2×D411yescharacteristic
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—22no—
261C23×C43—21no—
262C23×C43—41no—
263C23×C43—41no—
264C23×C43—42no—
265C23×C43—81no—
266C23×C43—82no—
267C23×C43#12011yescharacteristic
268C23×C43C22×D411yescharacteristic
269C23×C43C22×D411yescharacteristic
270Q8×C43—22no—
271Q8×C43—41no—
272Q8×C43—42no—
273Q8×C43—41no—
274Q8×C43—41no—
275Q8×C43—41no—
276Q8×C43—41no—
277Q8×C43—41no—
278Q8×C43—82no—
279D4×C43—22no—
280D4×C43—41no—
281D4×C43—41no—
282D4×C43—41no—
283D4×C43—41no—
284D4×C43—41no—
285D4×C43—42no—
286D4×C43—42no—
287D4×C43—42no—
288D4×C43—42no—
289D4×C43—41no—
290D4×C43—41no—
291D4×C43—41no—
292D4×C43—81no—
293D4×C43—81no—
294D4×C43—82no—
295D4×C43—82no—
296D4×C43—82no—
297D4×C43—81no—
298D4×C43—82no—
299D4×C43—84no—
300D4×C43—164no—
301C2×C4×C43—21no—
302C2×C4×C43—21no—
303C2×C4×C43—21no—
304C2×C4×C43—21no—
305C2×C4×C43—21no—
306C2×C4×C43—21no—
307C2×C4×C43—22no—
308C2×C4×C43—22no—
309C2×C4×C43—21no—
310C2×C4×C43—22no—
311C2×C4×C43—21no—
312C2×C4×C43—22no—
313C2×C4×C43—22no—
314C2×C4×C43—21no—
315C2×C4×C43—42no—
316C2×C4×C43—42no—
317C2×C4×C43—42no—
318C2×C4×C43—41no—
319C2×C4×C43—42no—
320C2×C4×C43—41no—
321C2×C4×C43—41no—
322C2×C4×C43—41no—
323C2×C4×C43—42no—
324C2×C4×C43—42no—
325C2×C4×C43—81no—
326C2×C4×C43—81no—
327C2×C4×C43—82no—
328C2×C4×C43—82no—
329C2×C4×C43#12011yescharacteristic
330C2×C4×C43#12011yescharacteristic
331C2×C4×C43#12011yescharacteristic
332C2×C4×C43C22×D411yescharacteristic
333C8×C43—42no—
334#33555C4311yesmaximal, characteristic, direct product factor, Sylow
335C22×C43—21no—
336C22×C43—21no—
337C22×C43—21no—
338C22×C43—41no—
339C22×C43—41no—
340C22×C43—41no—
341C22×C43—42no—
342C22×C43—41no—
343C22×C43—41no—
344C22×C43—42no—
345C22×C43—42no—
346C22×C43—42no—
347C22×C43—41no—
348C22×C43—42no—
349C22×C43—82no—
350C22×C43—82no—
351C22×C43—81no—
352C22×C43—84no—
353C22×C43—161no—
354C22×C43C2×#12011yescharacteristic
355C4×C43—21no—
356C4×C43—21no—
357C4×C43—21no—
358C4×C43—41no—
359C4×C43—42no—
360C4×C43—42no—
361C4×C43—41no—
362C4×C43—42no—
363C4×C43—41no—
364C4×C43—42no—
365C4×C43—82no—
366C4×C43—82no—
367C4×C43B(4,𝔽2)11yescharacteristic
368C4×C43B(4,𝔽2)11yescharacteristic
369#3540C2×C4311yescharacteristic, complemented
370#3027C2×C4311yescharacteristic, complemented
371#3025C2×C4311yescharacteristic, complemented
372#3022C2×C4311yescharacteristic, complemented
373#2199C2×C4314yescomplemented
374#2197C2×C4314yescomplemented
375#2129C2×C4311yescharacteristic, complemented
376#2122C2×C4311yescharacteristic, complemented
377#2120C2×C4311yescharacteristic, complemented
378C2×C43—21no—
379C2×C43—41no—
380C2×C43—41no—
381C2×C43—41no—
382C2×C43—81no—
383C2×C43—82no—
384C2×C43—82no—
385C2×C43C2×B(4,𝔽2)11yescharacteristic
386#585C22×C4311yescharacteristic
387C2×#137—21no—
388H(3,𝔽4)C22×C4312yescomplemented
389#560—21no—
390#559—21no—
391#556—21no—
392#555—21no—
393#551C22×C4312yescomplemented
394#548—21no—
395#546—21no—
396#542—22no—
397#542—21no—
398#538—22no—
399#536C22×C4311yescharacteristic
400#535—21no—
401#535C22×C4311yescharacteristic
402#525—21no—
403#525—21no—
404#525C22×C4311yescharacteristic
405#458—21no—
406#458C22×C4312yes—
407B(4,𝔽2)—21no—
408B(4,𝔽2)—22no—
409B(4,𝔽2)C22×C4314yes—
410B(4,𝔽2)C22×C4312yes—
411#456—22no—
412#455C22×C4314yes—
413#421—21no—
414#413C22×C4311yescharacteristic
415#410—21no—
416#410—21no—
417#410C22×C4311yescharacteristic
418#410C22×C4311yescharacteristic
419#354C22×C4314yescomplemented
420#352C22×C4312yescomplemented
421AΣL(1,𝔽16)C22×C4312yescomplemented
422AΣL(1,𝔽16)C22×C4314yescomplemented
423C43#3355511yescharacteristic, direct product factor, Sylow
4242−1+4—21no—
4252−1+4—41no—
426H(5,𝔽2)—21no—
427H(5,𝔽2)—21no—
428H(5,𝔽2)—41no—
429H(5,𝔽2)C23×C4312yes—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—21no—
433C2×#41—21no—
434C2×#41—42no—
435C2×#41C23×C4311yescharacteristic
436C22×Q8D4×C4311yescharacteristic, complemented
437C22×D4D4×C4311yescharacteristic, complemented
438C23×C4D4×C4311yescharacteristic, complemented
439#137—24no—
440#137—42no—
441C2×Q16—41no—
442C2×SD16—41no—
443C2×M16—21no—
444C4⋊Q8—21no—
445C4⋊Q8D4×C4312yescomplemented
446#127—21no—
447#127—41no—
448#126—22no—
449#126—22no—
450#126—22no—
451#124—22no—
452#124—21no—
453#124—21no—
454#124—22no—
455#124—22no—
456#124—22no—
457#124—22no—
458#124—41no—
459#124C23×C4312yes—
460#123—22no—
461#123—22no—
462#123—21no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123D4×C4311yescharacteristic, complemented
467#123C23×C4311yescharacteristic
468C22⋊Q8—21no—
469C22⋊Q8—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—41no—
475#121—21no—
476#121—22no—
477#121—22no—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—42no—
483#121—41no—
484#120—22no—
485#120—22no—
486#120—22no—
487#120—24no—
488#120D4×C4311yescharacteristic, complemented
489#120D4×C4312yescomplemented
490#120C23×C4311yescharacteristic
491#120C23×C4312yes—
492C4×Q8—21no—
493C4×Q8—22no—
494C4×D4—22no—
495C4×D4—22no—
496C4×D4—21no—
497C4×D4—22no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—42no—
501#117—21no—
502#117—22no—
503#117—21no—
504#117—21no—
505#117D4×C4311yescharacteristic, complemented
506#117D4×C4311yescharacteristic, complemented
507#117D4×C4311yescharacteristic, complemented
508C2×C22⋊C4—22no—
509#104—24no—
510#101—21no—
511#100C23×C4312yes—
512#99—21no—
513#99—21no—
514#99—24no—
515#99—22no—
516#99—22no—
517#99C23×C4312yes—
518#99C23×C4312yes—
519C24C2×D4×C4312yes—
520C24C2×D4×C4311yescharacteristic
521#41—22no—
522#41—22no—
523#41—41no—
524#41—41no—
525#41—42no—
526#41—41no—
527#41—41no—
528#41—41no—
529#41—41no—
530#41—41no—
531#41—42no—
532#41—42no—
533#41—42no—
534#41—41no—
535#41—41no—
536#41—41no—
537#41—81no—
538#41—81no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—21no—
544C2×Q8—41no—
545C2×Q8—41no—
546C2×Q8—42no—
547C2×Q8C2×D4×C4312yes—
548C2×Q8C2×D4×C4311yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—22no—
555C2×D4—22no—
556C2×D4—21no—
557C2×D4—22no—
558C2×D4—21no—
559C2×D4—22no—
560C2×D4—21no—
561C2×D4—21no—
562C2×D4—41no—
563C2×D4—41no—
564C2×D4—42no—
565C2×D4—42no—
566C2×D4—42no—
567C2×D4—41no—
568C2×D4—42no—
569C2×D4—44no—
570C2×D4C2×D4×C4311yescharacteristic
571C2×D4C2×D4×C4311yescharacteristic
572C2×D4C24×C4311yescharacteristic
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—21no—
578C22×C4—21no—
579C22×C4—21no—
580C22×C4—41no—
581C22×C4—41no—
582C22×C4—41no—
583C22×C4C2×D4×C4311yescharacteristic
584C22×C4C2×D4×C4311yescharacteristic
585C22×C4C2×D4×C4311yescharacteristic
586C22×C4C2×D4×C4311yescharacteristic
587Q16—44no—
588SD16—44no—
589M16—22no—
590M16—41no—
591C2×C8—41no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—41no—
603C4⋊C4—41no—
604C4⋊C4—42no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—21no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—42no—
623C22⋊C4—44no—
624C22⋊C4—42no—
625C22⋊C4C2×D4×C4312yes—
626C22⋊C4C2×D4×C4311yescharacteristic
627C22⋊C4C2×D4×C4311yescharacteristic
628C42—22no—
629C42—22no—
630C42—21no—
631C42—21no—
632C42—41no—
633C42—41no—
634C42C2×D4×C4312yes—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23—81no—
643C23—82no—
644C23#120×C4311yescharacteristic
645C23C22×D4×C4311yescharacteristic
646C23C22×D4×C4311yescharacteristic
647Q8—22no—
648Q8—41no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—82no—
656D4—22no—
657D4—41no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—42no—
663D4—42no—
664D4—42no—
665D4—42no—
666D4—41no—
667D4—41no—
668D4—41no—
669D4—81no—
670D4—82no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—82no—
675D4—81no—
676D4—84no—
677D4—164no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4#120×C4311yescharacteristic
707C2×C4#120×C4311yescharacteristic
708C2×C4#120×C4311yescharacteristic
709C2×C4C22×D4×C4311yescharacteristic
710C8—42no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—42no—
718C22—41no—
719C22—41no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—82no—
727C22—84no—
728C22—81no—
729C22—161no—
730C22C2×#120×C4311yescharacteristic
731C4—21no—
732C4—21no—
733C4—21no—
734C4—41no—
735C4—42no—
736C4—42no—
737C4—41no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—82no—
742C4—82no—
743C4C43×B(4,𝔽2)11yescharacteristic
744C4C43×B(4,𝔽2)11yescharacteristic
745C2—21no—
746C2—41no—
747C2—41no—
748C2—41no—
749C2—81no—
750C2—82no—
751C2—82no—
752C2C2×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×#3027C2semidirect
3. C43×#3025C2semidirect
4. C43×#3022C2semidirect
5. C43×#2199C2semidirect
6. C43×#2197C2semidirect
7. C43×#2129C2semidirect
8. C43×#2122C2semidirect
9. C43×#2120C2semidirect
12. C43×H(3,𝔽4)C22semidirect
17. C43×#551C22semidirect
43. C43×#354C22semidirect
44. C43×#352C22semidirect
45. C43×AΣL(1,𝔽16)C22semidirect
46. C43×AΣL(1,𝔽16)C22semidirect
59. C22×Q8×C43D4semidirect
60. C22×D4×C43D4semidirect
61. C23×C4×C43D4semidirect
68. C4⋊Q8×C43D4semidirect
89. #123×C43D4semidirect
111. #120×C43D4semidirect
112. #120×C43D4semidirect
128. #117×C43D4semidirect
129. #117×C43D4semidirect
130. #117×C43D4semidirect
334. #33555C43direct (N × H)
369. #3540C2×C43semidirect
370. #3027C2×C43semidirect
371. #3025C2×C43semidirect
372. #3022C2×C43semidirect
373. #2199C2×C43semidirect
374. #2197C2×C43semidirect
375. #2129C2×C43semidirect
376. #2122C2×C43semidirect
377. #2120C2×C43semidirect
388. H(3,𝔽4)C22×C43semidirect
393. #551C22×C43semidirect
419. #354C22×C43semidirect
420. #352C22×C43semidirect
421. AΣL(1,𝔽16)C22×C43semidirect
422. AΣL(1,𝔽16)C22×C43semidirect
423. C43#33555direct (N × H)
436. C22×Q8D4×C43semidirect
437. C22×D4D4×C43semidirect
438. C23×C4D4×C43semidirect
445. C4⋊Q8D4×C43semidirect
466. #123D4×C43semidirect
488. #120D4×C43semidirect
489. #120D4×C43semidirect
505. #117D4×C43semidirect
506. #117D4×C43semidirect
507. #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×#30272
C43×#30252
C43×#30222
C43×#21992
C43×#21972
C43×#21292
C43×#21222
C43×#21202
#3355543