Finite Group Databasebeta

← #25960829

Subgroups — #25960829

Order 11008.

2742 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
1C2×#14583711C211yesmaximal, characteristic
2#19147806C211yesmaximal, characteristic, complemented
3#19147801C211yesmaximal, characteristic, complemented
4#19143478C213yesmaximal, complemented
5#19143453C213yesmaximal, complemented
6#19143436C213yesmaximal, complemented
7#19143425C213yesmaximal, complemented
8#19143413C213yesmaximal, complemented
9#19143402C213yesmaximal, complemented
10#19143366C213yesmaximal, complemented
11C2×#14582986C213yesmaximal, complemented
12#19143125C211yesmaximal, characteristic, complemented
13#19143118C211yesmaximal, characteristic, complemented
14#131×Dic43C211yesmaximal, characteristic, complemented
15C43×#2912C211yesmaximal, characteristic, complemented
16C2×#13063372C2211yescharacteristic
17C2×#13063371C2211yescharacteristic
18#14583711C4116yescomplemented
19C2×#13063358C2213yes—
20C2×#13063353C2213yes—
21C2×#13063347C2213yes—
22C22×#10621873C2213yes—
23C2×#13063332C2211yescharacteristic
24#14583381—21no—
25#14583380C2213yes—
26#14583380C2213yescomplemented
27#14583378—23no—
28#14583376C2213yescomplemented
29#14583375—21no—
30#14583373C2213yes—
31#14583371—23no—
32#41×Dic43C2211yescharacteristic
33C4×#10621902—21no—
34#14583367C2213yes—
35#14583367C2213yescomplemented
36C4×#10621900—23no—
37C2×#13063290C2213yescomplemented
38C4×Q8×D43—21no—
39C2×#13063287C2213yes—
40C4×D4×D43—23no—
41#14583010C2216yescomplemented
42#14583005C2216yescomplemented
43#14582998C2216yescomplemented
44#14582998C2216yescomplemented
45#14582993C2213yescomplemented
46#14582993C2213yescomplemented
47#14582986C2216yescomplemented
48#14582986C2213yescomplemented
49#14582986C2216yescomplemented
50#14582986C2213yescomplemented
51#14582986C2213yescomplemented
52#14582986C2216yescomplemented
53#14582986C2211yescharacteristic, complemented
54#14582981C2213yescomplemented
55#14582981C2213yescomplemented
56#14582907C2213yescomplemented
57#14582903C2213yes—
58#14582898C2213yes—
59#14582898C2213yescomplemented
60#14582893C2213yes—
61#14582893C2213yescomplemented
62C2×#13063248C2213yescomplemented
63C2×#13063245C2213yes—
64#14582857C2213yescomplemented
65#14582854C2213yescomplemented
66M16×Dic43C2213yescomplemented
67C2×C8×Dic43C2213yescomplemented
68C2×#131×C43C2211yescharacteristic
69C43×#520C2211yescharacteristic
70C43×#520C2211yescharacteristic
71C43×#428C2213yescomplemented
72C43×#428C2213yescomplemented
73C43×#427C2213yescomplemented
74C2×#106×C43C2213yescomplemented
75#13063372—24no—
76#13063372C2×C418yescomplemented
77#13063371—24no—
78#13063371C2×C418yescomplemented
79C2×#10621902—21no—
80C2×#10621898C2313yes—
81C2×#10621898C2313yes—
82C2×#10621900—23no—
83C22×Dic86C2313yes—
84C2×Q8×D43—21no—
85C22×D172C2313yes—
86C2×D4×D43—23no—
87C22×C4×D43—23no—
88#13063358C2×C4124yescomplemented
89#13063353C2×C4124yescomplemented
90#13063347C2×C4124yescomplemented
91C2×Dic172C2313yes—
92C2×#10621873C2×C4124yescomplemented
93C2×#10621873C2313yes—
94C2×#10621873C2316yes—
95C2×#10621873C2311yescharacteristic
96C2×D344C2313yes—
97#13063332—24no—
98C2×#10621877C2313yes—
99C22×C43⋊C8C2313yes—
100Q8×Dic43D411yescharacteristic
101Q8×Dic43D411yescharacteristic
102C4×Dic86—23no—
103C4×Dic86—23no—
104#13063290—23no—
105#13063290—23no—
106#13063290C2313yes—
107#13063290C2316yes—
108#13063290C2311yescharacteristic
109#13063290C2313yes—
110#13063290C2313yes—
111C4×D172—23no—
112C4×D172—23no—
113D4×Dic43D413yes—
114D4×Dic43D413yes—
115#13063287—23no—
116#13063287—23no—
117#13063287C2313yes—
118#13063287C2316yes—
119#13063287C2313yes—
120#13063287C2311yescharacteristic
121#13063287C2313yes—
122C4×C22⋊D43—26no—
123C4×C22⋊D43—26no—
124(C22⋊D43)⋊C4—23no—
125(C22⋊D43)⋊C4—23no—
126(C22⋊D43)⋊C4—23no—
127(C22⋊D43)⋊C4—23no—
128#13063284C2313yes—
129#13063283—23no—
130#13063283—23no—
131#13063282—23no—
132#13063282—23no—
133#13063281—26no—
134C2×Dic43⋊C4—23no—
135C4⋊C4×D43—23no—
136C4⋊C4×D43—23no—
137C2×(C2×D43)⋊C4—23no—
138C22⋊C4×D43—26no—
139C2×C4×Dic43—23no—
140C2×C4×Dic43C2313yes—
141C42×D43—23no—
142C42×D43—23no—
143#13063248C2313yes—
144#13063248C2316yes—
145#13063248C2311yescharacteristic
146#13063248C2313yes—
147#13063248C2313yes—
148#13063245C2313yes—
149#13063245C2316yes—
150#13063245C2313yes—
151#13063245C2311yescharacteristic
152#13063245C2313yes—
153#13063235C2316yes—
154C8×Dic43C2311yescharacteristic
155C8×Dic43C2313yes—
156C8×Dic43C2313yes—
157C8×Dic43C2313yes—
158C2×#41×C43C2311yescharacteristic
159#131×C43C2×C418yescomplemented
160C2×M16×C43C2313yes—
161C22×C8×C43C2313yes—
162C4×Q8×C43—21no—
163C4×Q8×C43—21no—
164C4×D4×C43—23no—
165C4×D4×C43—23no—
166#117×C43C2313yes—
167#117×C43C2313yes—
168C2×C4⋊C4×C43C2313yes—
169C2×C4⋊C4×C43C2313yes—
170#107×C43C2313yes—
171#107×C43C2313yes—
172#106×C43C2313yes—
173#106×C43C2316yes—
174#106×C43C2311yescharacteristic
175C23×D43—23no—
176#41×C43C22×C414yes—
177#41×C43#4114yes—
178C2×Q8×C43C2×D411yescharacteristic
179C2×D4×C43C2×D413yes—
180C22×C4×C43—23no—
181C22×C4×C43—23no—
182C22×C4×C43C2413yes—
183C2×C22⋊D43—23no—
184C2×C22⋊D43—23no—
185C22×Dic43—23no—
186C22×Dic43C2×D413yes—
187C22×Dic43C2×D413yes—
188#10621902—28no—
189Q8×D43—28no—
190#10621900—224no—
191D4×D43—224no—
192#10621898—26no—
193#10621898—26no—
194#10621898C22×C4112yes—
195#10621898C22×C4112yescomplemented
196C2×D172—23no—
197C2×D172—26no—
198C2×D172C22×C4112yes—
199C2×D172C2411yescharacteristic
200C2×D172C2413yes—
201C2×C4×D43—23no—
202C2×C4×D43—23no—
203C2×C4×D43—21no—
204C2×C4×D43—23no—
205C2×C4×D43—23no—
206C2×C4×D43—23no—
207C2×C4×D43—26no—
208C2×C4×D43—86no—
209C2×Dic86—23no—
210C2×Dic86—26no—
211C2×Dic86C22×C4112yescomplemented
212C2×Dic86C2413yes—
213C2×Dic86C2411yescharacteristic
214M16×C43C22×C4112yescomplemented
215C2×C8×C43C22×C4112yescomplemented
216C2×C8×C43C2411yescharacteristic
217C2×C8×C43C2413yes—
218C4⋊C4×C43—23no—
219C4⋊C4×C43—23no—
220C4⋊C4×C43C2413yes—
221C4⋊C4×C43C2413yes—
222C4⋊C4×C43C2411yescharacteristic
223C4⋊C4×C43C2411yescharacteristic
224C22⋊C4×C43—23no—
225C22⋊C4×C43—23no—
226C42×C43—23no—
227C42×C43—23no—
228C22⋊Dic43C2×D416yes—
229(C2×D43)⋊C4—23no—
230(C2×D43)⋊C4—26no—
231(C2×D43)⋊C4—23no—
232(C2×D43)⋊C4—21no—
233(C2×D43)⋊C4—23no—
234C4⋊Dic43C2×D413yes—
235C4⋊Dic43C2×D413yes—
236Dic43⋊C4—23no—
237Dic43⋊C4—26no—
238Dic43⋊C4—23no—
239Dic43⋊C4—23no—
240Dic43⋊C4—21no—
241C4×Dic43—21no—
242C4×Dic43—23no—
243C4×Dic43—23no—
244C4×Dic43—23no—
245C4×Dic43—26no—
246C4×Dic43C2×D413yes—
247C4×Dic43C2×D413yes—
248C4×Dic43C2411yescharacteristic
249C4×Dic43C2413yes—
250#10621877—26no—
251C2×C43⋊C8—26no—
252C2×C43⋊C8C2411yescharacteristic
253C2×C43⋊C8C2413yes—
254Dic172C22×C4112yescomplemented
255D344C22×C4112yescomplemented
256#10621873C22×C4112yescomplemented
257#10621873C22×C4124yescomplemented
258#10621873C22×C414yescomplemented
259C23×C43C22×D413yes—
260C22×D43—21no—
261C22×D43—23no—
262C22×D43—212no—
263C22×D43—83no—
264C22×D43—83no—
265Q8×C43C4×D414yes—
266D4×C43C4×D4112yes—
267C2×C4×C43—21no—
268C2×C4×C43—23no—
269C2×C4×C43—21no—
270C2×C4×C43—23no—
271C2×C4×C43—83no—
272C2×C4×C43—83no—
273C2×C4×C43C23×C416yes—
274C2×C4×C43C22×D413yes—
275C2×C4×C43C2×#4116yes—
276C2×C4×C43C2511yescharacteristic
277C22⋊D43—212no—
278C22⋊D43—212no—
279C2×Dic43—212no—
280C2×Dic43—23no—
281C2×Dic43—21no—
282C2×Dic43—26no—
283C2×Dic43—43no—
284C2×Dic43C22×D413yes—
285C2×Dic43C22×D413yes—
286C2×Dic43C22×D411yescharacteristic
287C2×Dic43C22×D411yescharacteristic
288D172—212no—
289D172—23no—
290D172—21no—
291D172C23×C416yes—
292D172C23×C412yes—
293C4×D43—212no—
294C4×D43—212no—
295C4×D43—42no—
296C4×D43—46no—
297C4×D43—83no—
298C4×D43—83no—
299C4×D43—86no—
300Dic86—212no—
301Dic86—23no—
302Dic86—21no—
303Dic86C23×C416yes—
304Dic86C23×C412yes—
305C8×C43C23×C412yes—
306C8×C43C23×C416yes—
307C43⋊C8—21no—
308C43⋊C8—23no—
309C4×#577—431nomaximal, Sylow
310C22×C43—23no—
311C22×C43—23no—
312C22×C43C2×C4×D416yes—
313C22×C43C23×D411yescharacteristic
314C2×D43—26no—
315C2×D43—22no—
316C2×D43—43no—
317C2×D43—41no—
318C2×D43—43no—
319C2×D43—41no—
320C2×D43—812no—
321C4×C43—41no—
322C4×C43—43no—
323C4×C43—43no—
324C4×C43—41no—
325C4×C43C2×C4×D416yes—
326C4×C43C24×C411yescharacteristic
327C4×C43C22×#4111yescharacteristic
328Dic43—23no—
329Dic43—21no—
330Dic43—26no—
331Dic43—22no—
332Dic43—23no—
333Dic43#57712yescomplemented
334C2×#577—431no—
335C4×2−1+4—431no—
336C4×H(5,𝔽2)—431no—
337#2952—433no—
338#2949—433no—
339#2947—433no—
340#2946—433no—
341C4×#137—433no—
342C4×AGL(1,ℤ/8)—433no—
343C4×#135—433no—
344C2×C4×SD16—433no—
345#2912D4311yescharacteristic, complemented
346#2898—431no—
347#2897—431no—
348C4×#131—431no—
349C2×C43—26no—
350C2×C43C22×C4×D411yescharacteristic
351C2×C43C2×#57711yescharacteristic
352C2×C43#358411yescharacteristic
353D43—42no—
354D43—46no—
355C2×2−1+4—431no—
356C2×H(5,𝔽2)—431no—
357#577—4316no—
358C2×#137—433no—
359C2×AGL(1,ℤ/8)—433no—
360C2×#135—433no—
361C22×SD16—433no—
362C2×#131—431no—
363C2×#131C2×D4311yescharacteristic
364#520—433no—
365#520—433no—
366#520—863no—
367#520—861no—
368#520C2×D4311yescharacteristic
369#520C2×D4311yescharacteristic
370#519—433no—
371#519—861no—
372#518—433no—
373#518—863no—
374C4×#41—431no—
375C4×#41—433no—
376C4×#41—433no—
377C4×#41—863no—
378C4×#41—861no—
379C2×C4×Q8—433no—
380C2×C4×Q8—861no—
381C2×C4×D4—433no—
382C2×C4×D4—863no—
383#442—436no—
384#441—436no—
385#440—436no—
386#440—436no—
387C4×Q16—433no—
388C4×Q16—433no—
389C4×SD16—433no—
390C4×SD16—436no—
391C4×SD16—436no—
392C4×SD16—436no—
393C4×SD16—431no—
394C4×SD16—433no—
395C4×SD16—433no—
396C4×D8—433no—
397C4×D8—433no—
398#428C2×D4313yescomplemented
399#428C2×D4313yescomplemented
400#427C2×D4313yescomplemented
401C2×#106C2×D4313yescomplemented
402#419—433no—
403#418—433no—
404#417—433no—
405#417—433no—
406#416—433no—
407#416—433no—
408C2×#103—433no—
409C2×#102—433no—
410#405—433no—
411#405—433no—
412C4×M16—433no—
413C2×C4×C8—433no—
414C43C4×#57711yescharacteristic, complemented, Sylow
4152−1+4—438no—
4162−1+4—864no—
417H(5,𝔽2)—438no—
418H(5,𝔽2)—864no—
419C2×#41—433no—
420C2×#41—433no—
421C2×#41—861no—
422C2×#41—863no—
423C2×#41C22×D4311yescharacteristic
424C22×Q8—433no—
425C22×Q8—861no—
426C22×D4—433no—
427C22×D4—863no—
428C23×C4—863no—
429#137—4324no—
430AGL(1,ℤ/8)—4324no—
431#135—4324no—
432C2×Q16—433no—
433C2×SD16—4324no—
434C2×SD16—433no—
435C2×SD16—436no—
436C2×SD16—431no—
437C2×D8—433no—
438#131—864no—
439#131C4×D4318yescomplemented
440C2×M16—433no—
441C2×M16C22×D4313yes—
442C22×C8—433no—
443C22×C8C22×D4313yes—
444C4×Q8—21no—
445C4×Q8—21no—
446C4×Q8—431no—
447C4×Q8—431no—
448C4×Q8—433no—
449C4×Q8—436no—
450C4×Q8—431no—
451C4×Q8—433no—
452C4×Q8—433no—
453C4×Q8—863no—
454C4×Q8—863no—
455C4×Q8—863no—
456C4×Q8—863no—
457C4×D4—23no—
458C4×D4—23no—
459C4×D4—433no—
460C4×D4—433no—
461C4×D4—433no—
462C4×D4—436no—
463C4×D4—431no—
464C4×D4—433no—
465C4×D4—433no—
466C4×D4—863no—
467C4×D4—863no—
468C4×D4—863no—
469C4×D4—863no—
470C4×D4—863no—
471C4×D4—863no—
472C4×D4—863no—
473C4×D4—863no—
474C4×D4—866no—
475C4×D4—866no—
476#117—433no—
477#117—863no—
478#117—863no—
479#117—866no—
480#117—863no—
481#117—863no—
482#117C22×D4313yes—
483#117C22×D4313yes—
484C2×C4⋊C4—863no—
485C2×C4⋊C4—863no—
486C2×C4⋊C4—863no—
487C2×C4⋊C4C22×D4313yes—
488C2×C4⋊C4C22×D4313yes—
489C2×C22⋊C4—866no—
490C2×C22⋊C4—863no—
491C2×C42—433no—
492C2×C42—863no—
493C2×C42—863no—
494C2×C42—863no—
495#107C22×D4313yes—
496#107C22×D4313yes—
497#106C22×D4313yes—
498#106C22×D4316yes—
499#106C22×D4311yescharacteristic
500#103—433no—
501#103—436no—
502#103—431no—
503#103—433no—
504#103—433no—
505#102—433no—
506#102—436no—
507#102—431no—
508#102—433no—
509#102—433no—
510#97—436no—
511C4×C8—431no—
512C4×C8—433no—
513C4×C8—433no—
514C4×C8—433no—
515C24—863no—
516#41—4312no—
517#41—4312no—
518#41—868no—
519#41—8624no—
520#41—866no—
521#41—866no—
522#41C2×C4×D4314yes—
523#41#1062190214yes—
524C2×Q8—4312no—
525C2×Q8—433no—
526C2×Q8—431no—
527C2×Q8—868no—
528C2×Q8—863no—
529C2×Q8—866no—
530C2×Q8D4×D4311yescharacteristic
531C2×D4—4312no—
532C2×D4—431no—
533C2×D4—433no—
534C2×D4—863no—
535C2×D4—863no—
536C2×D4—8624no—
537C2×D4—863no—
538C2×D4—866no—
539C2×D4D4×D4313yes—
540C22×C4—23no—
541C22×C4—23no—
542C22×C4—433no—
543C22×C4—433no—
544C22×C4—863no—
545C22×C4—863no—
546C22×C4—866no—
547C22×C4—861no—
548C22×C4—863no—
549C22×C4—863no—
550C22×C4—863no—
551C22×C4—863no—
552C22×C4—3446no—
553C22×C4C23×D4313yes—
554Q16—4312no—
555SD16—4312no—
556SD16—4324no—
557SD16—434no—
558D8—4312no—
559M16—866no—
560M16C2×C4×D43112yescomplemented
561C2×C8—431no—
562C2×C8—433no—
563C2×C8—866no—
564C2×C8C2×C4×D43112yescomplemented
565C2×C8C23×D4311yescharacteristic
566C2×C8C23×D4313yes—
567C4⋊C4—23no—
568C4⋊C4—23no—
569C4⋊C4—433no—
570C4⋊C4—433no—
571C4⋊C4—863no—
572C4⋊C4—863no—
573C4⋊C4—866no—
574C4⋊C4—861no—
575C4⋊C4—863no—
576C4⋊C4C23×D4313yes—
577C4⋊C4C23×D4311yescharacteristic
578C4⋊C4C23×D4313yes—
579C4⋊C4C23×D4311yescharacteristic
580C22⋊C4—23no—
581C22⋊C4—23no—
582C22⋊C4—436no—
583C22⋊C4—863no—
584C22⋊C4—863no—
585C22⋊C4—866no—
586C22⋊C4—861no—
587C22⋊C4—863no—
588C42—23no—
589C42—23no—
590C42—433no—
591C42—433no—
592C42—431no—
593C42—433no—
594C42—861no—
595C42—863no—
596C42—863no—
597C42—863no—
598C42—866no—
599C23—8612no—
600C23—861no—
601C23—863no—
602C23—3443no—
603C23—3443no—
604C23C2×D4×D4313yes—
605Q8—436no—
606Q8—432no—
607Q8—8612no—
608Q8—863no—
609Q8—861no—
610Q8#1306328714yes—
611D4—432no—
612D4—436no—
613D4—8612no—
614D4—8612no—
615D4—8612no—
616D4—863no—
617D4—861no—
618D4#13063287112yes—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—23no—
622C2×C4—23no—
623C2×C4—83no—
624C2×C4—83no—
625C2×C4—431no—
626C2×C4—431no—
627C2×C4—433no—
628C2×C4—433no—
629C2×C4—866no—
630C2×C4—8612no—
631C2×C4—861no—
632C2×C4—863no—
633C2×C4—8612no—
634C2×C4—8612no—
635C2×C4—3446no—
636C2×C4—3443no—
637C2×C4—3443no—
638C2×C4—1726no—
639C2×C4—1722no—
640C2×C4—1723no—
641C2×C4C22×C4×D4316yes—
642C2×C4C2×D4×D4313yes—
643C2×C4C2×#1062190216yes—
644C2×C4C24×D4311yescharacteristic
645C8—861no—
646C8—863no—
647C8C22×C4×D4312yes—
648C8C22×C4×D4316yes—
649C22—23no—
650C22—23no—
651C22—862no—
652C22—866no—
653C22—34412no—
654C22—1723no—
655C22—1721no—
656C22—1721no—
657C22—1723no—
658C22C2×#1306328716yes—
659C22C22×D4×D4311yescharacteristic
660C4—43no—
661C4—41no—
662C4—43no—
663C4—41no—
664C4—432no—
665C4—863no—
666C4—863no—
667C4—861no—
668C4—862no—
669C4—866no—
670C4C2×#1306328716yes—
671C4C23×C4×D4311yescharacteristic
672C4C22×#1062190211yescharacteristic
673C2—26no—
674C2—1726no—
675C2—1722no—
676C2C22×#1306328711yescharacteristic
677C2#577×D4311yescharacteristic
678C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2912C2
socleC22×C43C23×D4
prime radicalC2×#14583711C2
cosocleC2×C4×C43C25
hypercenter#2912D43
hypocenterC43C4×#577
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ #2912

Complements

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

NH ≅ G/Ntype
2. #19147806C2semidirect
3. #19147801C2semidirect
4. #19143478C2semidirect
5. #19143453C2semidirect
6. #19143436C2semidirect
7. #19143425C2semidirect
8. #19143413C2semidirect
9. #19143402C2semidirect
10. #19143366C2semidirect
11. C2×#14582986C2semidirect
12. #19143125C2semidirect
13. #19143118C2semidirect
14. #131×Dic43C2semidirect
15. C43×#2912C2semidirect
18. #14583711C4semidirect
26. #14583380C22semidirect
28. #14583376C22semidirect
35. #14583367C22semidirect
37. C2×#13063290C22semidirect
41. #14583010C22semidirect
42. #14583005C22semidirect
43. #14582998C22semidirect
44. #14582998C22semidirect
45. #14582993C22semidirect
46. #14582993C22semidirect
47. #14582986C22semidirect
48. #14582986C22semidirect
49. #14582986C22semidirect
50. #14582986C22semidirect
51. #14582986C22semidirect
52. #14582986C22semidirect
53. #14582986C22semidirect
54. #14582981C22semidirect
55. #14582981C22semidirect
56. #14582907C22semidirect
59. #14582898C22semidirect
61. #14582893C22semidirect
62. C2×#13063248C22semidirect
64. #14582857C22semidirect
65. #14582854C22semidirect
66. M16×Dic43C22semidirect
67. C2×C8×Dic43C22semidirect
71. C43×#428C22semidirect
72. C43×#428C22semidirect
73. C43×#427C22semidirect
74. C2×#106×C43C22semidirect
76. #13063372C2×C4semidirect
78. #13063371C2×C4semidirect
88. #13063358C2×C4semidirect
89. #13063353C2×C4semidirect
90. #13063347C2×C4semidirect
92. C2×#10621873C2×C4semidirect
159. #131×C43C2×C4semidirect
195. #10621898C22×C4semidirect
211. C2×Dic86C22×C4semidirect
214. M16×C43C22×C4semidirect
215. C2×C8×C43C22×C4semidirect
254. Dic172C22×C4semidirect
255. D344C22×C4semidirect
256. #10621873C22×C4semidirect
257. #10621873C22×C4semidirect
258. #10621873C22×C4semidirect
333. Dic43#577semidirect
345. #2912D43semidirect
398. #428C2×D43semidirect
399. #428C2×D43semidirect
400. #427C2×D43semidirect
401. C2×#106C2×D43semidirect
414. C43C4×#577semidirect
439. #131C4×D43semidirect
560. M16C2×C4×D43semidirect
564. C2×C8C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145837112
#191478062
#191478012
#191434782
#191434532
#191434362
#191434252
#191434132
#191434022
#191433662
C2×#145829862
#191431252
#191431182
#131×Dic432
C43×#29122
C4×#57743