Finite Group Databasebeta

← #25249392

Subgroups — #25249392

Order 11008.

1252 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147922C211yesmaximal, characteristic
2#410×D43C212yesmaximal, complemented
3#19136268C212yesmaximal, complemented
4#19136265C212yesmaximal, complemented
5#19136263C212yesmaximal, complemented
6#19136261C212yesmaximal, complemented
7#19136260C211yesmaximal, characteristic, complemented
8#19136258C212yesmaximal, complemented
9C43×#2126C211yesmaximal, characteristic, complemented
10C2×#41×D43C411yescharacteristic, complemented
11C2×#41×D43C2211yescharacteristic
12#14583476—22no—
13#14583474C411yescharacteristic, complemented
14#14583474C411yescharacteristic, complemented
15#14583469C411yescharacteristic, complemented
16#14583469C2211yescharacteristic
17#14583467C411yescharacteristic, complemented
18#14583467C2211yescharacteristic
19#14583462C2211yescharacteristic
20#14583462C2211yescharacteristic
21#14583457—22no—
22#14583449C411yescharacteristic, complemented
23#14583445C411yescharacteristic, complemented
24#14583445C2211yescharacteristic
25#14583408—22no—
26#14583408—22no—
27C2×#13063282C411yescharacteristic, complemented
28#117×D43—22no—
29#14582873C2212yescomplemented
30#14582872—22no—
31#14582871—22no—
32#14582871C2214yes—
33#99×D43—22no—
34#99×D43C2214yescomplemented
35#14582694C2212yescomplemented
36#14582693C2214yescomplemented
37#14582692C2212yescomplemented
38#14582691C2214yescomplemented
39C43×#532C2211yescharacteristic
40C43×#410C2212yescomplemented
41C43×#354C2212yescomplemented
42C43×#353C2212yescomplemented
43C2×#10621902C2×C411yescharacteristic
44C2×#10621902C2×C411yescharacteristic
45C2×#10621898—21no—
46C2×#10621898C2×C411yescharacteristic
47C2×#10621898C2×C411yescharacteristic, complemented
48C2×#10621898D412yes—
49C2×#10621900—21no—
50C2×#10621900C2×C411yescharacteristic
51C2×#10621900D412yes—
52C2×#10621900C2311yescharacteristic
53#41×D43—42no—
54#41×D43—42no—
55#41×D43—42no—
56#41×D43—42no—
57C2×Q8×D43C2×C411yescharacteristic
58C2×Q8×D43C2×C411yescharacteristic, complemented
59C2×D4×D43—21no—
60C2×D4×D43C2×C411yescharacteristic, complemented
61C2×D4×D43D412yes—
62C2×D4×D43C2311yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43C2×C411yescharacteristic
65C22×C4×D43D412yes—
66#13063325C2×C411yescharacteristic, complemented
67#13063323C2×C411yescharacteristic, complemented
68#13063323C2×C411yescharacteristic, complemented
69#13063322C2×C411yescharacteristic
70#13063321C2×C411yescharacteristic
71#13063321C2311yescharacteristic
72#13063314C2×C411yescharacteristic
73#13063314C2×C411yescharacteristic, complemented
74#13063313C2×C411yescharacteristic
75#13063313C2×C411yescharacteristic, complemented
76#13063312C2×C411yescharacteristic, complemented
77#13063312C2311yescharacteristic
78#13063310—22no—
79#13063310—22no—
80#13063307—22no—
81#13063307—22no—
82#13063303—22no—
83#13063303—22no—
84#13063302—22no—
85#13063302—22no—
86#13063299—22no—
87#13063298—22no—
88#13063298—22no—
89#13063297—22no—
90#13063297—22no—
91#13063297—22no—
92#13063297—22no—
93#13063295—22no—
94#13063295—22no—
95#13063293—22no—
96#13063293—22no—
97C4×D172—22no—
98C4×C22⋊D43—22no—
99C4×C22⋊D43—22no—
100#13063284—22no—
101#13063283—42no—
102#13063282—21no—
103#13063282—21no—
104#13063282—42no—
105#13063282C2×C411yescharacteristic
106#13063282C2×C411yescharacteristic
107#13063282C2×C411yescharacteristic, complemented
108#13063282C2×C411yescharacteristic, complemented
109#13063281—24no—
110C2×Dic43⋊C4—21no—
111C4⋊C4×D43—42no—
112C2×(C2×D43)⋊C4—21no—
113C22⋊C4×D43—24no—
114C2×C4×Dic43C2×C411yescharacteristic, complemented
115C42×D43—42no—
116#13063240—22no—
117#13063240C2314yes—
118#13063239—24no—
119#13063239—24no—
120C2×#41×C43C2×C411yescharacteristic, complemented
121C2×#41×C43C2311yescharacteristic
122C4⋊Q8×C43C2×C411yescharacteristic, complemented
123#127×C43C2311yescharacteristic
124#124×C43C2×C411yescharacteristic, complemented
125#124×C43C2311yescharacteristic
126#121×C43—22no—
127C4×D4×C43—22no—
128#117×C43—22no—
129C2×C42×C43C2×C411yescharacteristic, complemented
130#99×C43—22no—
131#99×C43C2314yes—
132C23×D43—21no—
133C23×D43C22⋊C411yescharacteristic
134C23×D43C2×D412yes—
135#41×C43—41no—
136#41×C43—41no—
137#41×C43—41no—
138#41×C43—41no—
139C2×Q8×C43C22×C411yescharacteristic
140C2×Q8×C43C22×C411yescharacteristic
141C2×D4×C43—21no—
142C2×D4×C43—22no—
143C2×D4×C43C22×C411yescharacteristic
144C2×D4×C43C2×D412yes—
145C2×D4×C43C2411yescharacteristic
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43C22×C411yescharacteristic
149C22×C4×C43C2×D412yes—
150C2×C22⋊D43—21no—
151C2×C22⋊D43—21no—
152C2×C22⋊D43—22no—
153C2×C22⋊D43—21no—
154C2×C22⋊D43—22no—
155C2×C22⋊D43C22⋊C412yes—
156C2×C22⋊D43C2×D412yes—
157C2×C22⋊D43C2×D412yes—
158C22×Dic43—21no—
159C22×Dic43—21no—
160C22×Dic43C22⋊C411yescharacteristic
161C22×Dic43C2×D412yes—
162#10621902—42no—
163#10621902—42no—
164Q8×D43—42no—
165Q8×D43—42no—
166#10621900—42no—
167#10621900—42no—
168#10621900—42no—
169#10621900—42no—
170#10621900—44no—
171D4×D43—42no—
172D4×D43—42no—
173D4×D43—42no—
174D4×D43—44no—
175D4×D43—42no—
176#10621898—41no—
177#10621898—41no—
178#10621898—42no—
179#10621898—42no—
180#10621898—42no—
181#10621898—42no—
182#10621898—41no—
183#10621898—41no—
184C2×D172—21no—
185C2×D172—22no—
186C2×D172C22⋊C412yes—
187C2×D172C22×C411yescharacteristic
188C2×D172C22×C411yescharacteristic
189C2×C4×D43—22no—
190C2×C4×D43—22no—
191C2×C4×D43—22no—
192C2×C4×D43—22no—
193C2×C4×D43—22no—
194C2×C4×D43—22no—
195C2×C4×D43—21no—
196C2×C4×D43—21no—
197C2×C4×D43—21no—
198C2×C4×D43—44no—
199C2×C4×D43—42no—
200C2×C4×D43—42no—
201C2×C4×D43C22⋊C411yescharacteristic
202C2×C4×D43C22⋊C412yes—
203C2×C4×D43C22⋊C412yes—
204C2×C4×D43C22⋊C412yes—
205C2×C4×D43C22⋊C411yescharacteristic
206C2×C4×D43C22×C411yescharacteristic
207C2×C4×D43C22×C411yescharacteristic
208C2×Dic86—21no—
209C2×Dic86C22⋊C412yes—
210C2×Dic86C22×C411yescharacteristic
211C2×Dic86C22×C411yescharacteristic
212C4⋊C4×C43—22no—
213C4⋊C4×C43—42no—
214C22⋊C4×C43—22no—
215C22⋊C4×C43—22no—
216C22⋊C4×C43—24no—
217C42×C43—21no—
218C42×C43—42no—
219C42×C43C22×C411yescharacteristic
220C42×C43C22×C411yescharacteristic
221C22⋊Dic43—22no—
222C22⋊Dic43—22no—
223C22⋊Dic43—24no—
224(C2×D43)⋊C4—22no—
225(C2×D43)⋊C4—22no—
226(C2×D43)⋊C4—21no—
227(C2×D43)⋊C4—21no—
228(C2×D43)⋊C4—21no—
229(C2×D43)⋊C4—21no—
230(C2×D43)⋊C4—22no—
231(C2×D43)⋊C4—22no—
232(C2×D43)⋊C4—44no—
233C4⋊Dic43—22no—
234C4⋊Dic43—42no—
235Dic43⋊C4—22no—
236Dic43⋊C4—21no—
237Dic43⋊C4—21no—
238Dic43⋊C4—21no—
239Dic43⋊C4—21no—
240Dic43⋊C4—22no—
241Dic43⋊C4—44no—
242C4×Dic43—21no—
243C4×Dic43—44no—
244C4×Dic43—42no—
245C4×Dic43C22×C411yescharacteristic
246C4×Dic43C22×C411yescharacteristic
247C23×C43—21no—
248C23×C43C2×C22⋊C411yescharacteristic
249C23×C43C22×D412yes—
250C22×D43—22no—
251C22×D43—22no—
252C22×D43—22no—
253C22×D43—21no—
254C22×D43—42no—
255C22×D43—82no—
256C22×D43—82no—
257C22×D43—81no—
258C22×D43C2×C22⋊C411yescharacteristic
259C22×D43C2×C22⋊C412yes—
260C22×D43C2×C22⋊C411yescharacteristic
261Q8×C43—41no—
262Q8×C43—41no—
263D4×C43—42no—
264D4×C43—41no—
265D4×C43—41no—
266D4×C43—42no—
267D4×C43—82no—
268C2×C4×C43—22no—
269C2×C4×C43—22no—
270C2×C4×C43—21no—
271C2×C4×C43—21no—
272C2×C4×C43—21no—
273C2×C4×C43—21no—
274C2×C4×C43—21no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—44no—
278C2×C4×C43—81no—
279C2×C4×C43C2×C22⋊C412yes—
280C2×C4×C43C2×C22⋊C411yescharacteristic
281C2×C4×C43C23×C411yescharacteristic
282C22⋊D43—42no—
283C22⋊D43—42no—
284C22⋊D43—42no—
285C22⋊D43—42no—
286C22⋊D43—42no—
287C22⋊D43—42no—
288C22⋊D43—82no—
289C22⋊D43—82no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—21no—
294C2×Dic43—21no—
295C2×Dic43—21no—
296C2×Dic43—42no—
297C2×Dic43—44no—
298C2×Dic43—81no—
299C2×Dic43C2×C22⋊C411yescharacteristic
300C2×Dic43C2×C22⋊C412yes—
301C2×Dic43C2×C22⋊C411yescharacteristic
302D172—42no—
303D172—41no—
304D172—41no—
305D172—42no—
306D172—82no—
307C4×D43—22no—
308C4×D43—22no—
309C4×D43—22no—
310C4×D43—21no—
311C4×D43—21no—
312C4×D43—22no—
313C4×D43—22no—
314C4×D43—22no—
315C4×D43—22no—
316C4×D43—22no—
317C4×D43—42no—
318C4×D43—42no—
319C4×D43—41no—
320C4×D43—41no—
321C4×D43—88no—
322C4×D43#9912yes—
323C4×D43#9912yes—
324Dic86—42no—
325Dic86—41no—
326Dic86—42no—
327Dic86—41no—
328#33358—431nomaximal, Sylow
329C22×C43—21no—
330C22×C43—22no—
331C22×C43—41no—
332C22×C43—42no—
333C22×C43—42no—
334C22×C43—41no—
335C22×C43C22×C22⋊C411yescharacteristic
336C2×D43—21no—
337C2×D43—22no—
338C2×D43—41no—
339C2×D43—44no—
340C2×D43—41no—
341C2×D43—42no—
342C2×D43—42no—
343C2×D43—41no—
344C2×D43—82no—
345C2×D43—82no—
346C2×D43—84no—
347C2×D43C2×#9912yes—
348C4×C43—21no—
349C4×C43—22no—
350C4×C43—41no—
351C4×C43—41no—
352C4×C43—41no—
353C4×C43—84no—
354C4×C43C2×#9911yescharacteristic
355C4×C43C2×#9911yescharacteristic
356Dic43—21no—
357Dic43—22no—
358Dic43—41no—
359Dic43—41no—
360Dic43—41no—
361Dic43—84no—
362Dic43C2×#9912yes—
363#3449—431no—
364C2×#410—432no—
365#2129—432no—
366#2128—432no—
367#2127—432no—
368#2127—432no—
369#2126—432no—
370#2126—431no—
371#2126D4311yescharacteristic, complemented
372C2×C43—21no—
373C2×C43—42no—
374C2×C43—41no—
375C2×C43—81no—
376C2×C43C22×#9911yescharacteristic
377D43—22no—
378D43—42no—
379D43—41no—
380D43—81no—
381C22×#41—431no—
382C22×#41—431no—
383#537—862no—
384#536—431no—
385#536—431no—
386#536—431no—
387#536—431no—
388#535—431no—
389#535—431no—
390#535—431no—
391#535—431no—
392#534—862no—
393#532—431no—
394#532—431no—
395#532—431no—
396#532C2×D4311yescharacteristic
397#525—862no—
398#525—862no—
399C2×#117—431no—
400C2×#117—862no—
401#410—432no—
402#410—434no—
403#410—862no—
404#410—862no—
405#410C2×D4312yescomplemented
406C2×#99—434no—
407C2×#99—862no—
408#354—432no—
409#354—434no—
410#354C2×D4312yescomplemented
411#353—432no—
412#353—434no—
413#353C2×D4312yescomplemented
414C43#3335811yescharacteristic, complemented, Sylow
415C2×#41—431no—
416C2×#41—432no—
417C2×#41—431no—
418C2×#41—431no—
419C2×#41—432no—
420C2×#41—431no—
421C2×#41—431no—
422C2×#41—431no—
423C2×#41—861no—
424C2×#41—861no—
425C2×#41—1722no—
426C2×#41—1722no—
427C2×#41—1722no—
428C2×#41—1722no—
429C2×#41C4×D4311yescharacteristic, complemented
430C2×#41C22×D4311yescharacteristic
431C22×Q8—431no—
432C22×Q8—431no—
433C22×D4—432no—
434C22×D4—431no—
435C22×D4—431no—
436C22×D4—861no—
437C23×C4—431no—
438C23×C4—432no—
439C23×C4—861no—
440C4⋊Q8—431no—
441C4⋊Q8—431no—
442C4⋊Q8—431no—
443C4⋊Q8C4×D4311yescharacteristic, complemented
444#127—431no—
445#127—431no—
446#127—431no—
447#127C22×D4311yescharacteristic
448#124—431no—
449#124—431no—
450#124—431no—
451#124—431no—
452#124—431no—
453#124—431no—
454#124C4×D4311yescharacteristic, complemented
455#124C22×D4311yescharacteristic
456#123—862no—
457#123—862no—
458#123—862no—
459#123—862no—
460C22⋊Q8—862no—
461C22⋊Q8—862no—
462C22⋊Q8—862no—
463C22⋊Q8—862no—
464#121—22no—
465#121—862no—
466#121—862no—
467#121—862no—
468#121—862no—
469#121—862no—
470#121—862no—
471#121—862no—
472#120—862no—
473#120—862no—
474#120—862no—
475#120—862no—
476C4×D4—22no—
477C4×D4—862no—
478C4×D4—862no—
479C4×D4—862no—
480#117—22no—
481#117—431no—
482#117—431no—
483#117—431no—
484#117—431no—
485#117—861no—
486#117—861no—
487#117—864no—
488#117—862no—
489#117—1722no—
490#117—1722no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4—1722no—
493C2×C22⋊C4—864no—
494C2×C22⋊C4—861no—
495C2×C42—431no—
496C2×C42—1722no—
497C2×C42C4×D4311yescharacteristic, complemented
498#99—22no—
499#99—434no—
500#99—864no—
501#99—864no—
502#99—862no—
503#99C22×D4314yes—
504C24—431no—
505C24—432no—
506C24—861no—
507#41—41no—
508#41—41no—
509#41—41no—
510#41—41no—
511#41—1722no—
512#41—1721no—
513#41—1722no—
514#41—1721no—
515#41—1721no—
516#41—1721no—
517#41—1722no—
518#41—1722no—
519#41—1722no—
520#41—1722no—
521#41—1722no—
522#41—1722no—
523#41—1724no—
524#41—1722no—
525#41—1722no—
526C2×Q8—432no—
527C2×Q8—431no—
528C2×Q8—431no—
529C2×Q8—861no—
530C2×Q8—1722no—
531C2×Q8—1722no—
532C2×Q8C2×C4×D4311yescharacteristic
533C2×Q8C2×C4×D4311yescharacteristic
534C2×D4—21no—
535C2×D4—22no—
536C2×D4—432no—
537C2×D4—432no—
538C2×D4—432no—
539C2×D4—432no—
540C2×D4—431no—
541C2×D4—431no—
542C2×D4—862no—
543C2×D4—861no—
544C2×D4—861no—
545C2×D4—862no—
546C2×D4—862no—
547C2×D4—861no—
548C2×D4—861no—
549C2×D4—1722no—
550C2×D4—1722no—
551C2×D4—1722no—
552C2×D4—1722no—
553C2×D4—1724no—
554C2×D4C2×C4×D4311yescharacteristic
555C2×D4D4×D4312yes—
556C2×D4C23×D4311yescharacteristic
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—431no—
560C22×C4—431no—
561C22×C4—432no—
562C22×C4—432no—
563C22×C4—432no—
564C22×C4—431no—
565C22×C4—432no—
566C22×C4—431no—
567C22×C4—431no—
568C22×C4—862no—
569C22×C4—862no—
570C22×C4—862no—
571C22×C4—862no—
572C22×C4—862no—
573C22×C4—862no—
574C22×C4—861no—
575C22×C4—861no—
576C22×C4—861no—
577C22×C4—861no—
578C22×C4—861no—
579C22×C4—1722no—
580C22×C4—1722no—
581C22×C4—1724no—
582C22×C4C2×C4×D4311yescharacteristic
583C22×C4D4×D4312yes—
584C4⋊C4—22no—
585C4⋊C4—42no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—862no—
591C4⋊C4—862no—
592C4⋊C4—862no—
593C4⋊C4—1722no—
594C4⋊C4—1724no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—24no—
598C22⋊C4—862no—
599C22⋊C4—861no—
600C22⋊C4—861no—
601C22⋊C4—861no—
602C22⋊C4—861no—
603C22⋊C4—862no—
604C22⋊C4—862no—
605C22⋊C4—862no—
606C22⋊C4—862no—
607C22⋊C4—862no—
608C22⋊C4—864no—
609C22⋊C4—1724no—
610C42—21no—
611C42—42no—
612C42—431no—
613C42—431no—
614C42—861no—
615C42—1722no—
616C42—1724no—
617C42C2×C4×D4311yescharacteristic
618C42C2×C4×D4311yescharacteristic
619C23—21no—
620C23—431no—
621C23—431no—
622C23—432no—
623C23—862no—
624C23—862no—
625C23—862no—
626C23—861no—
627C23—3442no—
628C23—3441no—
629C23—3442no—
630C23—1722no—
631C23C22⋊C4×D4311yescharacteristic
632C23C2×D4×D4312yes—
633Q8—41no—
634Q8—41no—
635Q8—1722no—
636Q8—1721no—
637Q8—1721no—
638Q8—1722no—
639D4—42no—
640D4—41no—
641D4—41no—
642D4—42no—
643D4—82no—
644D4—3442no—
645D4—3442no—
646D4—3442no—
647D4—1722no—
648D4—1721no—
649D4—1721no—
650D4—1722no—
651D4—1722no—
652D4—1722no—
653D4—1722no—
654D4—1722no—
655D4—1722no—
656D4—1722no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—81no—
668C2×C4—431no—
669C2×C4—432no—
670C2×C4—432no—
671C2×C4—432no—
672C2×C4—431no—
673C2×C4—862no—
674C2×C4—862no—
675C2×C4—862no—
676C2×C4—862no—
677C2×C4—862no—
678C2×C4—862no—
679C2×C4—862no—
680C2×C4—862no—
681C2×C4—862no—
682C2×C4—861no—
683C2×C4—862no—
684C2×C4—861no—
685C2×C4—862no—
686C2×C4—861no—
687C2×C4—861no—
688C2×C4—861no—
689C2×C4—3448no—
690C2×C4—3441no—
691C2×C4—1722no—
692C2×C4—1722no—
693C2×C4—1722no—
694C2×C4—1724no—
695C2×C4—1721no—
696C2×C4—1721no—
697C2×C4C22⋊C4×D4312yes—
698C2×C4C22⋊C4×D4311yescharacteristic
699C2×C4C22×C4×D4311yescharacteristic
700C22—22no—
701C22—21no—
702C22—41no—
703C22—42no—
704C22—42no—
705C22—41no—
706C22—432no—
707C22—861no—
708C22—862no—
709C22—3442no—
710C22—3442no—
711C22—3444no—
712C22—1721no—
713C22—1722no—
714C22—1722no—
715C22—1721no—
716C22—1724no—
717C22—1721no—
718C22C2×C22⋊C4×D4311yescharacteristic
719C4—22no—
720C4—21no—
721C4—41no—
722C4—41no—
723C4—41no—
724C4—84no—
725C4—432no—
726C4—861no—
727C4—862no—
728C4—3444no—
729C4—1721no—
730C4—1721no—
731C4—1721no—
732C4#99×D4311yescharacteristic
733C4#99×D4311yescharacteristic
734C2—21no—
735C2—42no—
736C2—41no—
737C2—81no—
738C2—862no—
739C2—3441no—
740C2—1721no—
741C2—1722no—
742C2C2×#99×D4311yescharacteristic
subgroupG/H
centerC4#99×D43
commutatorC2×C4×C43C23×C4
FrattiniC2×D4C23×D43
FittingC43×#2126C2
socleC2×C43C22×#99
prime radical#19147922C2
cosocleC2×D4×C43C24
hypercenter#2126D43
hypocenterC43#33358
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×#41 ◁ #2126

Complements

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

NH ≅ G/Ntype
2. #410×D43C2semidirect
3. #19136268C2semidirect
4. #19136265C2semidirect
5. #19136263C2semidirect
6. #19136261C2semidirect
7. #19136260C2semidirect
8. #19136258C2semidirect
9. C43×#2126C2semidirect
10. C2×#41×D43C4semidirect
13. #14583474C4semidirect
14. #14583474C4semidirect
15. #14583469C4semidirect
17. #14583467C4semidirect
22. #14583449C4semidirect
23. #14583445C4semidirect
27. C2×#13063282C4semidirect
29. #14582873C22semidirect
34. #99×D43C22semidirect
35. #14582694C22semidirect
36. #14582693C22semidirect
37. #14582692C22semidirect
38. #14582691C22semidirect
40. C43×#410C22semidirect
41. C43×#354C22semidirect
42. C43×#353C22semidirect
47. C2×#10621898C2×C4semidirect
58. C2×Q8×D43C2×C4semidirect
60. C2×D4×D43C2×C4semidirect
66. #13063325C2×C4semidirect
67. #13063323C2×C4semidirect
68. #13063323C2×C4semidirect
73. #13063314C2×C4semidirect
75. #13063313C2×C4semidirect
76. #13063312C2×C4semidirect
107. #13063282C2×C4semidirect
108. #13063282C2×C4semidirect
114. C2×C4×Dic43C2×C4semidirect
120. C2×#41×C43C2×C4semidirect
122. C4⋊Q8×C43C2×C4semidirect
124. #124×C43C2×C4semidirect
129. C2×C42×C43C2×C4semidirect
371. #2126D43semidirect
405. #410C2×D43semidirect
410. #354C2×D43semidirect
413. #353C2×D43semidirect
414. C43#33358semidirect
429. C2×#41C4×D43semidirect
443. C4⋊Q8C4×D43semidirect
454. #124C4×D43semidirect
497. C2×C42C4×D43semidirect

Maximal subgroups

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

subgroupindex
#191479222
#410×D432
#191362682
#191362652
#191362632
#191362612
#191362602
#191362582
C43×#21262
#3335843