Finite Group Databasebeta

← #25249407

Subgroups — #25249407

Order 11008.

1252 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148385C211yesmaximal, characteristic
2#19143053C212yesmaximal, complemented
3#19136268C212yesmaximal, complemented
4#19136263C212yesmaximal, complemented
5#19136262C212yesmaximal, complemented
6#19136259C212yesmaximal, complemented
7C2×#14582694C211yesmaximal, characteristic, complemented
8#354×D43C212yesmaximal, complemented
9C2×C43×#354C211yesmaximal, characteristic, complemented
10C2×#13063373C411yescharacteristic, complemented
11C2×#13063370C2211yescharacteristic
12#14583557—22no—
13#14583542—22no—
14#14583539—22no—
15#14583539—22no—
16#14583473C411yescharacteristic, complemented
17#14583469C411yescharacteristic, complemented
18#14583469C2211yescharacteristic
19#14583467C411yescharacteristic, complemented
20#14583467C2211yescharacteristic
21#14583466C2211yescharacteristic
22#14583449C411yescharacteristic, complemented
23#14583448C411yescharacteristic, complemented
24#14583448C2211yescharacteristic
25#124×D43C411yescharacteristic, complemented
26#124×D43C2211yescharacteristic
27#14583372—22no—
28C4×#10621898C411yescharacteristic, complemented
29#14582871—22no—
30#14582871C2214yes—
31C2×#13063240C2212yes—
32C2×#13063239—22no—
33#99×D43—22no—
34#99×D43C2214yes—
35#14582694C2212yescomplemented
36#14582694C2212yescomplemented
37#14582693C2214yescomplemented
38#14582691C2214yescomplemented
39C2×#124×C43C2211yescharacteristic
40C2×#99×C43C2212yes—
41C43×#354C2212yescomplemented
42C43×#354C2212yescomplemented
43#13063373—42no—
44#13063373—42no—
45#13063370—42no—
46#13063370—42no—
47C2×#10621902—21no—
48C2×#10621902C2×C411yescharacteristic, complemented
49C2×#10621902C2×C411yescharacteristic, complemented
50C2×#10621898—21no—
51C2×#10621898—21no—
52C2×#10621898C2×C411yescharacteristic
53C2×#10621898C2×C411yescharacteristic
54C2×#10621898C2×C411yescharacteristic, complemented
55C2×#10621900C2×C411yescharacteristic
56C2×#10621900D412yes—
57C2×#10621900C2311yescharacteristic
58C2×Q8×D43—21no—
59C2×Q8×D43C2×C411yescharacteristic, complemented
60C2×Q8×D43C2×C411yescharacteristic, complemented
61C22×C22⋊D43D412yes—
62C22×C22⋊D43D412yes—
63C2×D4×D43C2×C411yescharacteristic
64C2×D4×D43D412yes—
65C2×D4×D43C2311yescharacteristic
66#13063325C2×C411yescharacteristic, complemented
67#13063323C2×C411yescharacteristic, complemented
68#13063323C2×C411yescharacteristic, complemented
69#13063322C2×C411yescharacteristic, complemented
70#13063321C2×C411yescharacteristic, complemented
71#13063321C2311yescharacteristic
72#13063314C2×C411yescharacteristic, complemented
73#13063314C2×C411yescharacteristic, complemented
74#13063313C2×C411yescharacteristic, complemented
75#13063313C2×C411yescharacteristic, complemented
76#13063312C2×C411yescharacteristic, complemented
77#13063312C2311yescharacteristic
78#13063311—22no—
79#13063311—22no—
80#13063308—22no—
81#13063307—22no—
82#13063307—22no—
83#13063302—22no—
84#13063302—22no—
85#13063301—22no—
86#13063299—22no—
87#13063298—22no—
88#13063298—22no—
89#13063298—22no—
90#13063298—22no—
91#13063296—22no—
92#13063295—22no—
93#13063295—22no—
94#13063294—22no—
95C4×Dic86—21no—
96C4×D172—21no—
97C4×D172—22no—
98C4×C22⋊D43—21no—
99C4×C22⋊D43—21no—
100C4×C22⋊D43—44no—
101(C22⋊D43)⋊C4—22no—
102(C22⋊D43)⋊C4—22no—
103(C22⋊D43)⋊C4—44no—
104#13063284C2×C411yescharacteristic, complemented
105#13063282C2×C411yescharacteristic, complemented
106#13063282C2×C411yescharacteristic, complemented
107#13063281—24no—
108C2×C22⋊Dic43—22no—
109C22⋊C4×D43—22no—
110C22⋊C4×D43—22no—
111C22⋊C4×D43—24no—
112C42×D43C2×C411yescharacteristic, complemented
113C42×D43C2×C411yescharacteristic, complemented
114#13063240—22no—
115#13063240C2314yes—
116#13063239—24no—
117#13063239—24no—
118C22×Q8×C43C2×C411yescharacteristic, complemented
119C22×D4×C43C2311yescharacteristic
120#124×C43—22no—
121#124×C43C2×C411yescharacteristic, complemented
122#124×C43C2×C411yescharacteristic, complemented
123#124×C43C2311yescharacteristic
124#124×C43C2311yescharacteristic
125C2×C22⋊C4×C43—22no—
126C2×C22⋊C4×C43—22no—
127C2×C42×C43C2×C411yescharacteristic, complemented
128#99×C43—22no—
129#99×C43C2314yes—
130C24×C43C2×D412yes—
131C23×D43C22⋊C412yes—
132C23×D43C2×D412yes—
133C2×Q8×C43—21no—
134C2×Q8×C43—41no—
135C2×Q8×C43—41no—
136C2×Q8×C43C22×C411yescharacteristic
137C2×Q8×C43C22×C411yescharacteristic
138C2×D4×C43—41no—
139C2×D4×C43—41no—
140C2×D4×C43C22×C411yescharacteristic
141C2×D4×C43C2×D412yes—
142C2×D4×C43C2411yescharacteristic
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—42no—
146C22×C4×C43C22×C411yescharacteristic
147C2×C22⋊D43—24no—
148C2×C22⋊D43—24no—
149C2×C22⋊D43—21no—
150C2×C22⋊D43—22no—
151C2×C22⋊D43—22no—
152C2×C22⋊D43—42no—
153C2×C22⋊D43—42no—
154C2×C22⋊D43C22⋊C411yescharacteristic
155C2×C22⋊D43C22⋊C412yes—
156C2×C22⋊D43C22⋊C412yes—
157C2×C22⋊D43C22⋊C412yes—
158C2×C22⋊D43C22⋊C411yescharacteristic
159C2×C22⋊D43C2×D412yes—
160C2×C22⋊D43C2×D412yes—
161C22×Dic43—42no—
162C22×Dic43C22⋊C412yes—
163C22×Dic43C2×D412yes—
164#10621902—42no—
165#10621902—42no—
166#10621902—44no—
167Q8×D43—44no—
168Q8×D43—42no—
169Q8×D43—42no—
170#10621900—44no—
171#10621900—42no—
172#10621900—42no—
173D4×D43—42no—
174D4×D43—44no—
175D4×D43—42no—
176#10621898—22no—
177#10621898—22no—
178#10621898—41no—
179#10621898—41no—
180#10621898—42no—
181#10621898—42no—
182#10621898—42no—
183#10621898—42no—
184#10621898—41no—
185#10621898—41no—
186C2×D172—21no—
187C2×D172—21no—
188C2×D172—22no—
189C2×D172C22⋊C411yescharacteristic
190C2×D172C22×C411yescharacteristic
191C2×D172C22×C411yescharacteristic
192C2×C4×D43—21no—
193C2×C4×D43—21no—
194C2×C4×D43—21no—
195C2×C4×D43—21no—
196C2×C4×D43—21no—
197C2×C4×D43—21no—
198C2×C4×D43—21no—
199C2×C4×D43—44no—
200C2×C4×D43C22⋊C412yes—
201C2×C4×D43C22×C411yescharacteristic
202C2×C4×D43C22×C411yescharacteristic
203C2×Dic86—21no—
204C2×Dic86—21no—
205C2×Dic86C22⋊C411yescharacteristic
206C2×Dic86C22×C411yescharacteristic
207C2×Dic86C22×C411yescharacteristic
208C22⋊C4×C43—22no—
209C22⋊C4×C43—22no—
210C22⋊C4×C43—22no—
211C22⋊C4×C43—22no—
212C22⋊C4×C43—24no—
213C22⋊C4×C43—42no—
214C42×C43—21no—
215C42×C43C22×C411yescharacteristic
216C42×C43C22×C411yescharacteristic
217C22⋊Dic43—22no—
218C22⋊Dic43—21no—
219C22⋊Dic43—22no—
220C22⋊Dic43—24no—
221C22⋊Dic43—42no—
222(C2×D43)⋊C4—22no—
223(C2×D43)⋊C4—22no—
224(C2×D43)⋊C4—22no—
225(C2×D43)⋊C4—22no—
226(C2×D43)⋊C4—21no—
227(C2×D43)⋊C4—21no—
228(C2×D43)⋊C4—44no—
229C4⋊Dic43—21no—
230C4⋊Dic43—22no—
231Dic43⋊C4—21no—
232Dic43⋊C4—21no—
233Dic43⋊C4—22no—
234Dic43⋊C4—22no—
235Dic43⋊C4—44no—
236C4×Dic43—21no—
237C4×Dic43—21no—
238C4×Dic43—44no—
239C4×Dic43C22×C411yescharacteristic
240C4×Dic43C22×C411yescharacteristic
241C23×C43—22no—
242C23×C43—22no—
243C23×C43—82no—
244C23×C43C2×C22⋊C412yes—
245C23×C43C2×C22⋊C411yescharacteristic
246C23×C43C22×D412yes—
247C22×D43—24no—
248C22×D43—21no—
249C22×D43—42no—
250C22×D43—82no—
251C22×D43—82no—
252C22×D43C2×C22⋊C412yes—
253C22×D43C2×C22⋊C411yescharacteristic
254C22×D43C2×C22⋊C411yescharacteristic
255Q8×C43—41no—
256Q8×C43—41no—
257Q8×C43—42no—
258D4×C43—41no—
259D4×C43—42no—
260D4×C43—41no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—21no—
265C2×C4×C43—21no—
266C2×C4×C43—21no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—44no—
270C2×C4×C43—81no—
271C2×C4×C43—162no—
272C2×C4×C43C2×C22⋊C411yescharacteristic
273C2×C4×C43C23×C411yescharacteristic
274C22⋊D43—21no—
275C22⋊D43—21no—
276C22⋊D43—22no—
277C22⋊D43—22no—
278C22⋊D43—24no—
279C22⋊D43—24no—
280C22⋊D43—42no—
281C22⋊D43—42no—
282C22⋊D43—41no—
283C22⋊D43—41no—
284C22⋊D43—82no—
285C22⋊D43—82no—
286C22⋊D43#9912yes—
287C22⋊D43#9912yes—
288C2×Dic43—24no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—42no—
293C2×Dic43—44no—
294C2×Dic43—162no—
295C2×Dic43C2×C22⋊C411yescharacteristic
296C2×Dic43C2×C22⋊C412yes—
297C2×Dic43C2×C22⋊C411yescharacteristic
298D172—22no—
299D172—41no—
300D172—41no—
301D172—42no—
302D172—42no—
303D172—82no—
304C4×D43—22no—
305C4×D43—22no—
306C4×D43—42no—
307C4×D43—42no—
308C4×D43—42no—
309C4×D43—42no—
310C4×D43—42no—
311C4×D43—42no—
312C4×D43—81no—
313C4×D43—81no—
314C4×D43—164no—
315Dic86—22no—
316Dic86—41no—
317Dic86—42no—
318Dic86—42no—
319Dic86—41no—
320#33361—431nomaximal, Sylow
321C22×C43—22no—
322C22×C43—22no—
323C22×C43—41no—
324C22×C43—42no—
325C22×C43—42no—
326C22×C43—82no—
327C22×C43—82no—
328C22×C43C2×#9911yescharacteristic
329C22×C43C2×#9911yescharacteristic
330C22×C43C22×C22⋊C411yescharacteristic
331C2×D43—22no—
332C2×D43—21no—
333C2×D43—41no—
334C2×D43—41no—
335C2×D43—42no—
336C2×D43—42no—
337C2×D43—41no—
338C2×D43—84no—
339C2×D43—162no—
340C2×D43C2×#9912yes—
341C4×C43—21no—
342C4×C43—21no—
343C4×C43—41no—
344C4×C43—41no—
345C4×C43—41no—
346C4×C43—41no—
347C4×C43—84no—
348Dic43—21no—
349Dic43—22no—
350Dic43—41no—
351Dic43—41no—
352Dic43—41no—
353Dic43—84no—
354Dic43C2×#9912yes—
355#3500—431no—
356#2883—432no—
357#2129—432no—
358#2127—432no—
359#2127—432no—
360#2126—432no—
361C2×#354—432no—
362C2×#354—431no—
363C2×#354D4311yescharacteristic, complemented
364C2×C43—21no—
365C2×C43—21no—
366C2×C43—21no—
367C2×C43—42no—
368C2×C43—42no—
369C2×C43C22×#9911yescharacteristic
370D43—22no—
371D43—42no—
372D43—41no—
373D43—81no—
374C2×2−1+4—431no—
375C2×H(5,𝔽2)—431no—
376#548—862no—
377#546—862no—
378#546—862no—
379#546—862no—
380#536—431no—
381#536—431no—
382#536—431no—
383#535—431no—
384#535—431no—
385#535—431no—
386#532—431no—
387#532—431no—
388#532—431no—
389C2×#124—431no—
390C2×#124—431no—
391C2×#124C2×D4311yescharacteristic
392#518—862no—
393C4×#41—431no—
394#410—434no—
395#410—862no—
396C2×#99—432no—
397C2×#99—434no—
398C2×#99—862no—
399C2×#99—862no—
400C2×#99C2×D4312yes—
401#354—432no—
402#354—432no—
403#354—434no—
404#354C2×D4312yescomplemented
405#354C2×D4312yescomplemented
406#353—434no—
407C43#3336111yescharacteristic, complemented, Sylow
4082−1+4—1722no—
4092−1+4—1722no—
410H(5,𝔽2)—1722no—
411H(5,𝔽2)—1722no—
412C2×#41—431no—
413C2×#41—432no—
414C2×#41—431no—
415C2×#41—431no—
416C2×#41—431no—
417C2×#41—431no—
418C2×#41—431no—
419C2×#41—431no—
420C2×#41—861no—
421C2×#41—861no—
422C2×#41—861no—
423C22×Q8—431no—
424C22×Q8—431no—
425C22×Q8—861no—
426C22×Q8C4×D4311yescharacteristic, complemented
427C22×D4—432no—
428C22×D4—432no—
429C22×D4—431no—
430C22×D4—432no—
431C22×D4—431no—
432C22×D4C22×D4311yescharacteristic
433C4⋊Q8—431no—
434C4⋊Q8—431no—
435C4⋊Q8—431no—
436#127—431no—
437#127—431no—
438#127—431no—
439#124—22no—
440#124—431no—
441#124—431no—
442#124—431no—
443#124—431no—
444#124—431no—
445#124—431no—
446#124—862no—
447#124—862no—
448#124C4×D4311yescharacteristic, complemented
449#124C4×D4311yescharacteristic, complemented
450#124C22×D4311yescharacteristic
451#124C22×D4311yescharacteristic
452#123—862no—
453#123—862no—
454#123—862no—
455C22⋊Q8—862no—
456C22⋊Q8—862no—
457C22⋊Q8—862no—
458#121—862no—
459#121—862no—
460#121—862no—
461#121—862no—
462#121—862no—
463#121—862no—
464#120—862no—
465#120—862no—
466#120—862no—
467C4×Q8—861no—
468C4×D4—862no—
469C4×D4—861no—
470C4×D4—862no—
471C4×D4—862no—
472C4×D4—861no—
473C4×D4—861no—
474C4×D4—1724no—
475C4×D4—1724no—
476#117—431no—
477#117—431no—
478#117—431no—
479#117—864no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4—22no—
482C2×C22⋊C4—862no—
483C2×C22⋊C4—862no—
484C2×C22⋊C4—864no—
485C2×C22⋊C4—862no—
486C2×C42—431no—
487C2×C42—431no—
488C2×C42C4×D4311yescharacteristic, complemented
489#99—22no—
490#99—434no—
491#99—864no—
492#99—864no—
493#99—862no—
494#99C22×D4314yes—
495C24—432no—
496C24—432no—
497C24D4×D4312yes—
498#41—862no—
499#41—862no—
500#41—1721no—
501#41—1721no—
502#41—1721no—
503#41—1721no—
504#41—1722no—
505#41—1722no—
506#41—1722no—
507#41—1722no—
508#41—1722no—
509#41—1722no—
510#41—1724no—
511#41—1722no—
512#41—1722no—
513#41—1724no—
514C2×Q8—21no—
515C2×Q8—41no—
516C2×Q8—41no—
517C2×Q8—431no—
518C2×Q8—431no—
519C2×Q8—431no—
520C2×Q8—861no—
521C2×Q8—861no—
522C2×Q8—1722no—
523C2×Q8—1722no—
524C2×Q8—1724no—
525C2×Q8C2×C4×D4311yescharacteristic
526C2×Q8C2×C4×D4311yescharacteristic
527C2×D4—41no—
528C2×D4—41no—
529C2×D4—431no—
530C2×D4—432no—
531C2×D4—432no—
532C2×D4—431no—
533C2×D4—432no—
534C2×D4—432no—
535C2×D4—432no—
536C2×D4—431no—
537C2×D4—431no—
538C2×D4—431no—
539C2×D4—862no—
540C2×D4—861no—
541C2×D4—861no—
542C2×D4—864no—
543C2×D4—864no—
544C2×D4—862no—
545C2×D4—862no—
546C2×D4—861no—
547C2×D4—1722no—
548C2×D4—1722no—
549C2×D4—1724no—
550C2×D4—1722no—
551C2×D4—1722no—
552C2×D4C2×C4×D4311yescharacteristic
553C2×D4D4×D4312yes—
554C2×D4C23×D4311yescharacteristic
555C22×C4—21no—
556C22×C4—21no—
557C22×C4—42no—
558C22×C4—432no—
559C22×C4—432no—
560C22×C4—431no—
561C22×C4—431no—
562C22×C4—432no—
563C22×C4—861no—
564C22×C4—861no—
565C22×C4—861no—
566C22×C4—861no—
567C22×C4—861no—
568C22×C4—861no—
569C22×C4—861no—
570C22×C4—1724no—
571C22×C4—1722no—
572C22×C4C2×C4×D4311yescharacteristic
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—862no—
576C4⋊C4—862no—
577C4⋊C4—862no—
578C4⋊C4—861no—
579C4⋊C4—1724no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—24no—
585C22⋊C4—42no—
586C22⋊C4—862no—
587C22⋊C4—862no—
588C22⋊C4—862no—
589C22⋊C4—862no—
590C22⋊C4—861no—
591C22⋊C4—861no—
592C22⋊C4—862no—
593C22⋊C4—861no—
594C22⋊C4—862no—
595C22⋊C4—864no—
596C22⋊C4—1724no—
597C22⋊C4—1722no—
598C42—21no—
599C42—431no—
600C42—431no—
601C42—861no—
602C42—861no—
603C42—1724no—
604C42C2×C4×D4311yescharacteristic
605C42C2×C4×D4311yescharacteristic
606C23—22no—
607C23—22no—
608C23—82no—
609C23—431no—
610C23—432no—
611C23—431no—
612C23—864no—
613C23—861no—
614C23—3442no—
615C23—3442no—
616C23—1722no—
617C23C22⋊C4×D4312yes—
618C23C22⋊C4×D4311yescharacteristic
619C23C2×D4×D4312yes—
620Q8—41no—
621Q8—41no—
622Q8—42no—
623Q8—862no—
624Q8—1721no—
625Q8—1721no—
626Q8—1722no—
627Q8—1722no—
628D4—41no—
629D4—42no—
630D4—41no—
631D4—432no—
632D4—432no—
633D4—862no—
634D4—864no—
635D4—864no—
636D4—862no—
637D4—862no—
638D4—861no—
639D4—861no—
640D4—3442no—
641D4—3442no—
642D4—3442no—
643D4—1721no—
644D4—1721no—
645D4—1722no—
646D4—1722no—
647D4—1722no—
648D4—1722no—
649D4—1721no—
650D4—1721no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—44no—
660C2×C4—81no—
661C2×C4—162no—
662C2×C4—431no—
663C2×C4—431no—
664C2×C4—432no—
665C2×C4—862no—
666C2×C4—862no—
667C2×C4—864no—
668C2×C4—861no—
669C2×C4—861no—
670C2×C4—861no—
671C2×C4—3441no—
672C2×C4—3441no—
673C2×C4—1722no—
674C2×C4—1722no—
675C2×C4—1722no—
676C2×C4—1722no—
677C2×C4—1722no—
678C2×C4—1722no—
679C2×C4—1722no—
680C2×C4—1724no—
681C2×C4—6884no—
682C2×C4—6882no—
683C2×C4C22⋊C4×D4311yescharacteristic
684C2×C4C22×C4×D4311yescharacteristic
685C22—22no—
686C22—22no—
687C22—41no—
688C22—42no—
689C22—42no—
690C22—82no—
691C22—82no—
692C22—432no—
693C22—861no—
694C22—862no—
695C22—3444no—
696C22—1721no—
697C22—1722no—
698C22—1721no—
699C22—1722no—
700C22—1721no—
701C22—6882no—
702C22#99×D4311yescharacteristic
703C22#99×D4311yescharacteristic
704C22C2×C22⋊C4×D4311yescharacteristic
705C4—21no—
706C4—21no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—84no—
712C4—432no—
713C4—861no—
714C4—862no—
715C4—3444no—
716C4—1721no—
717C4—1721no—
718C4—1721no—
719C2—21no—
720C2—21no—
721C2—21no—
722C2—42no—
723C2—42no—
724C2—862no—
725C2—3441no—
726C2—1722no—
727C2—1721no—
728C2C2×#99×D4311yescharacteristic
subgroupG/H
centerC2C2×#99×D43
commutatorC2×C4×C43C23×C4
FrattiniC2×D4C23×D43
FittingC2×C43×#354C2
socleC2×C43C22×#99
prime radical#19148385C2
cosocleC2×D4×C43C24
hypercenterC2×#354D43
hypocenterC43#33361
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C23 ◁ C22×D4 ◁ C2×#354

Complements

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

NH ≅ G/Ntype
2. #19143053C2semidirect
3. #19136268C2semidirect
4. #19136263C2semidirect
5. #19136262C2semidirect
6. #19136259C2semidirect
7. C2×#14582694C2semidirect
8. #354×D43C2semidirect
9. C2×C43×#354C2semidirect
10. C2×#13063373C4semidirect
16. #14583473C4semidirect
17. #14583469C4semidirect
19. #14583467C4semidirect
22. #14583449C4semidirect
23. #14583448C4semidirect
25. #124×D43C4semidirect
28. C4×#10621898C4semidirect
35. #14582694C22semidirect
36. #14582694C22semidirect
37. #14582693C22semidirect
38. #14582691C22semidirect
41. C43×#354C22semidirect
42. C43×#354C22semidirect
48. C2×#10621902C2×C4semidirect
49. C2×#10621902C2×C4semidirect
54. C2×#10621898C2×C4semidirect
59. C2×Q8×D43C2×C4semidirect
60. C2×Q8×D43C2×C4semidirect
66. #13063325C2×C4semidirect
67. #13063323C2×C4semidirect
68. #13063323C2×C4semidirect
69. #13063322C2×C4semidirect
70. #13063321C2×C4semidirect
72. #13063314C2×C4semidirect
73. #13063314C2×C4semidirect
74. #13063313C2×C4semidirect
75. #13063313C2×C4semidirect
76. #13063312C2×C4semidirect
104. #13063284C2×C4semidirect
105. #13063282C2×C4semidirect
106. #13063282C2×C4semidirect
112. C42×D43C2×C4semidirect
113. C42×D43C2×C4semidirect
118. C22×Q8×C43C2×C4semidirect
121. #124×C43C2×C4semidirect
122. #124×C43C2×C4semidirect
127. C2×C42×C43C2×C4semidirect
363. C2×#354D43semidirect
404. #354C2×D43semidirect
405. #354C2×D43semidirect
407. C43#33361semidirect
426. C22×Q8C4×D43semidirect
448. #124C4×D43semidirect
449. #124C4×D43semidirect
488. C2×C42C4×D43semidirect

Maximal subgroups

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

subgroupindex
#191483852
#191430532
#191362682
#191362632
#191362622
#191362592
C2×#145826942
#354×D432
C2×C43×#3542
#3336143