Finite Group Databasebeta

← #25098116

Subgroups — #25098116

Order 11008.

1778 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583697C211yesmaximal, characteristic
2C2×#14583380C211yesmaximal, characteristic, complemented
3C2×#14582917C211yesmaximal, characteristic, complemented
4#19143114C211yesmaximal, characteristic, complemented
5#19134974C214yesmaximal, complemented
6#19134967C214yesmaximal, complemented
7C2×#14582668C211yesmaximal, characteristic, complemented
8#19134305C211yesmaximal, characteristic, complemented
9C43×#2311C211yesmaximal, characteristic, complemented
10C22×#10621898C2211yescharacteristic
11#14583697—24no—
12#14583697C418yescomplemented
13C2×#13063356C2212yes—
14C2×#13063355—21no—
15C2×#13063351C2212yes—
16C2×#13063350—21no—
17C2×#13063345—22no—
18C22×#10621877C2211yescharacteristic
19C22×#10621877C2211yescharacteristic
20#14583380—22no—
21#14583380—22no—
22#14583380—22no—
23#14583380C2214yes—
24C2×#13063290—21no—
25C2×#13063287—21no—
26C2×C4×C22⋊D43—22no—
27C2×#13063284C2211yescharacteristic
28C2×#13063283—21no—
29C2×C4⋊C4×D43—21no—
30#14582917—24no—
31C2×#13063253C2214yes—
32#14582908C2212yescomplemented
33#14582904C2212yescomplemented
34#14582900—21no—
35#14582900—21no—
36#14582895—22no—
37#14582668C2214yescomplemented
38#14582659C2214yescomplemented
39C22×#41×C43C2211yescharacteristic
40C2×#117×C43C2211yescharacteristic
41C22×C4⋊C4×C43C2211yescharacteristic
42C43×#391C2212yescomplemented
43C43×#390C2212yescomplemented
44C43×#386—22no—
45C43×#380—22no—
46C2×#10621898—21no—
47C2×#10621898—21no—
48C2×#10621898—22no—
49C2×#10621898—22no—
50C2×#10621898C2×C414yes—
51C2×#10621898D414yes—
52C2×#10621898D412yes—
53C2×#10621898C2312yes—
54C22×Dic86D411yescharacteristic
55C22×D172D411yescharacteristic
56C22×C22⋊D43—21no—
57C22×C4×D43—21no—
58C22×C4×D43—22no—
59#13063356—24no—
60#13063356C2×C418yescomplemented
61#13063355—28no—
62#13063351—24no—
63#13063351C2×C418yescomplemented
64#13063350—28no—
65#13063345—216no—
66C2×#10621885—22no—
67C2×#10621883—22no—
68C2×#10621884—22no—
69C2×#10621882—22no—
70C2×#10621877—21no—
71C2×#10621877—22no—
72C2×#10621877—21no—
73C2×#10621877—22no—
74C2×#10621877—22no—
75C2×#10621877C2×C414yescomplemented
76C2×#10621877C2312yes—
77C2×#10621877C2312yes—
78C22×C43⋊C8—21no—
79C22×C43⋊C8—21no—
80#13063290—24no—
81#13063290—24no—
82#13063287—24no—
83#13063287—24no—
84C4×C22⋊D43—28no—
85C4×C22⋊D43—28no—
86#13063284—21no—
87#13063284—21no—
88#13063284D412yes—
89#13063284C2312yes—
90#13063283—24no—
91#13063283—24no—
92C2×C4⋊Dic43D411yescharacteristic
93C2×C4⋊Dic43D411yescharacteristic
94C2×Dic43⋊C4—22no—
95C4⋊C4×D43—24no—
96C4⋊C4×D43—24no—
97C2×C22⋊Dic43—21no—
98C2×(C2×D43)⋊C4—22no—
99C2×C4×Dic43—22no—
100C2×C4×Dic43—21no—
101#13063253—28no—
102#13063249—22no—
103#13063249—22no—
104#13063246—22no—
105#13063246—22no—
106C2×#41×C43—22no—
107C2×#41×C43—21no—
108C2×#41×C43—21no—
109C2×#41×C43—21no—
110C2×#41×C43—21no—
111C2×#41×C43—22no—
112C2×#41×C43—22no—
113C2×#41×C43C2×C414yescomplemented
114C22×Q8×C43C2311yescharacteristic
115C22×D4×C43—21no—
116C22×D4×C43C2311yescharacteristic
117C23×C4×C43—21no—
118C23×C4×C43D412yes—
119C23×C4×C43C2311yescharacteristic
120#117×C43—22no—
121#117×C43—22no—
122C2×C4⋊C4×C43—21no—
123C2×C4⋊C4×C43—21no—
124C2×C4⋊C4×C43—21no—
125C2×C4⋊C4×C43—21no—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43D412yes—
128C2×C4⋊C4×C43C2312yes—
129C2×C22⋊C4×C43—21no—
130C2×C22⋊C4×C43—24no—
131C2×C42×C43C2312yes—
132#95×C43—24no—
133C24×C43—21no—
134C24×C43C2×D411yescharacteristic
135C23×D43—21no—
136#41×C43—24no—
137#41×C43—24no—
138#41×C43—24no—
139#41×C43—24no—
140#41×C43—42no—
141#41×C43—42no—
142#41×C43—42no—
143#41×C43—42no—
144C2×Q8×C43—21no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43C22×C412yescomplemented
150C2×D4×C43—21no—
151C2×D4×C43—24no—
152C2×D4×C43—21no—
153C2×D4×C43—21no—
154C2×D4×C43—21no—
155C2×D4×C43—21no—
156C2×D4×C43—41no—
157C2×D4×C43—41no—
158C2×D4×C43—42no—
159C2×D4×C43C22×C412yescomplemented
160C22×C4×C43—24no—
161C22×C4×C43—22no—
162C22×C4×C43—22no—
163C22×C4×C43—21no—
164C22×C4×C43—22no—
165C22×C4×C43—41no—
166C22×C4×C43—41no—
167C22×C4×C43—42no—
168C22×C4×C43—82no—
169C22×C4×C43C22×C412yes—
170C22×C4×C43C2×D411yescharacteristic
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D411yescharacteristic
173C22×C4×C43C2×D411yescharacteristic
174C22×C4×C43C2×D412yes—
175C22×C4×C43C2×D414yes—
176C22×C4×C43C2×D411yescharacteristic
177C22×C4×C43#4112yes—
178C22×C4×C43#4112yes—
179C22×C4×C43C2411yescharacteristic
180C2×C22⋊D43—24no—
181C2×C22⋊D43—22no—
182C2×C22⋊D43—24no—
183C2×C22⋊D43—22no—
184C22×Dic43—21no—
185C22×Dic43—21no—
186C22×Dic43—21no—
187#10621898—24no—
188#10621898—24no—
189#10621898—24no—
190#10621898—24no—
191#10621898—24no—
192#10621898—22no—
193#10621898—22no—
194#10621898C22⋊C418yescomplemented
195#10621898C22×C414yes—
196#10621898C2×D414yes—
197C2×D172—21no—
198C2×D172—22no—
199C2×D172C22⋊C414yescomplemented
200C2×D172C2×D412yes—
201C2×C4×D43—24no—
202C2×C4×D43—22no—
203C2×C4×D43—24no—
204C2×C4×D43—22no—
205C2×C4×D43—28no—
206C2×C4×D43—84no—
207C2×Dic86—21no—
208C2×Dic86—22no—
209C2×Dic86C22⋊C414yescomplemented
210C2×Dic86C2×D412yes—
211C4⋊C4×C43—22no—
212C4⋊C4×C43—22no—
213C4⋊C4×C43—22no—
214C4⋊C4×C43—22no—
215C4⋊C4×C43—42no—
216C22⋊C4×C43—42no—
217C22⋊C4×C43—84no—
218C42×C43—22no—
219C42×C43—22no—
220C22⋊Dic43—22no—
221C22⋊Dic43—22no—
222#10621885—28no—
223#10621884—28no—
224#10621883—28no—
225#10621882—28no—
226(C2×D43)⋊C4—28no—
227C4⋊Dic43—21no—
228C4⋊Dic43—21no—
229C4⋊Dic43C2×D412yes—
230C4⋊Dic43C2×D412yes—
231Dic43⋊C4—28no—
232C4×Dic43—28no—
233C4×Dic43—22no—
234C4×Dic43—22no—
235#10621877—24no—
236#10621877—22no—
237#10621877—22no—
238#10621877—22no—
239#10621877—42no—
240#10621877C22×C414yescomplemented
241C2×C43⋊C8—24no—
242C2×C43⋊C8—22no—
243C2×C43⋊C8—22no—
244C2×C43⋊C8—42no—
245C23×C43—22no—
246C23×C43—41no—
247C23×C43—41no—
248C23×C43—42no—
249C23×C43—42no—
250C23×C43—41no—
251C23×C43—41no—
252C23×C43C4×D412yes—
253C23×C43#12011yescharacteristic
254C23×C43#12011yescharacteristic
255C23×C43#12112yes—
256C23×C43C22×D411yescharacteristic
257C22×D43—22no—
258C22×D43—24no—
259C22×D43—42no—
260C22×D43—42no—
261Q8×C43—22no—
262Q8×C43—22no—
263Q8×C43—41no—
264Q8×C43—41no—
265D4×C43—22no—
266D4×C43—22no—
267D4×C43—44no—
268D4×C43—44no—
269D4×C43—41no—
270D4×C43—41no—
271C2×C4×C43—22no—
272C2×C4×C43—24no—
273C2×C4×C43—44no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—44no—
277C2×C4×C43—44no—
278C2×C4×C43—44no—
279C2×C4×C43—42no—
280C2×C4×C43—42no—
281C2×C4×C43—42no—
282C2×C4×C43—82no—
283C2×C4×C43C2×C22⋊C412yes—
284C2×C4×C43C2×C22⋊C412yes—
285C2×C4×C43C4×D412yes—
286C2×C4×C43C4×D412yes—
287C2×C4×C43C4×D412yes—
288C2×C4×C43#12011yescharacteristic
289C2×C4×C43#12011yescharacteristic
290C2×C4×C43#12112yes—
291C2×C4×C43#12112yes—
292C2×C4×C43#12112yes—
293C2×C4×C43#12312yes—
294C2×C4×C43#12312yes—
295C2×C4×C43C23×C411yescharacteristic
296C2×C4×C43C22×D411yescharacteristic
297C2×C4×C43C22×D411yescharacteristic
298C2×C4×C43C22×D411yescharacteristic
299C2×C4×C43C2×#4111yescharacteristic
300C2×C4×C43C2×#4111yescharacteristic
301C22⋊D43—24no—
302C22⋊D43—24no—
303C22⋊D43—28no—
304C2×Dic43—22no—
305C2×Dic43—24no—
306C2×Dic43—22no—
307C2×Dic43—22no—
308C2×Dic43—42no—
309C2×Dic43—42no—
310D172—22no—
311D172—24no—
312D172C2×C22⋊C414yes—
313C4×D43—24no—
314C4×D43—24no—
315C4×D43—28no—
316C4×D43—88no—
317Dic86—22no—
318Dic86—24no—
319Dic86C2×C22⋊C414yes—
320C43⋊C8—24no—
321C43⋊C8—42no—
322#20943—431nomaximal, Sylow
323C22×C43—21no—
324C22×C43—21no—
325C22×C43—21no—
326C22×C43—21no—
327C22×C43—21no—
328C22×C43—21no—
329C22×C43—42no—
330C22×C43—42no—
331C22×C43—44no—
332C22×C43—42no—
333C22×C43—82no—
334C22×C43—81no—
335C22×C43—81no—
336C22×C43#38612yes—
337C22×C43#38612yes—
338C22×C43C2×C4×D411yescharacteristic
339C22×C43C2×#12011yescharacteristic
340C22×C43C2×#12111yescharacteristic
341C2×D43—24no—
342C2×D43—48no—
343C2×D43—42no—
344C2×D43—42no—
345C4×C43—44no—
346C4×C43—42no—
347C4×C43—82no—
348C4×C43#38612yes—
349C4×C43#38612yes—
350C4×C43C22×C22⋊C411yescharacteristic
351C4×C43C2×C4×D411yescharacteristic
352C4×C43C2×#12111yescharacteristic
353C4×C43C2×#12311yescharacteristic
354Dic43—24no—
355Dic43—42no—
356Dic43—42no—
357C2×#575—431no—
358C2×#520—431no—
359C2×#421—431no—
360#2896—431no—
361#2311D4311yescharacteristic, complemented
362#1883—434no—
363#1882—434no—
364C2×#343—431no—
365#1733—431no—
366C2×C43—21no—
367C2×C43—22no—
368C2×C43—21no—
369C2×C43—22no—
370C2×C43—82no—
371C2×C43C2×#38611yescharacteristic
372C2×C43#301911yescharacteristic
373C2×C43#302011yescharacteristic
374D43—44no—
375C22×#41—431no—
376C22×#41C2×D4311yescharacteristic
377#575—438no—
378#575—864no—
379C2×#137—432no—
380C2×#137—861no—
381C2×AGL(1,ℤ/8)—432no—
382C2×AGL(1,ℤ/8)—861no—
383C2×#135—862no—
384C22×M16—431no—
385C22×M16—431no—
386#520—434no—
387#520—862no—
388#520—862no—
389#520—862no—
390C2×C4×Q8—861no—
391C2×C4×D4—861no—
392C2×C4×D4—862no—
393C2×#117—431no—
394C2×#117—861no—
395C2×#117C2×D4311yescharacteristic
396C22×C4⋊C4—861no—
397C22×C4⋊C4C2×D4311yescharacteristic
398#421—864no—
399C2×#104—434no—
400#419—432no—
401#418—432no—
402#417—861no—
403#417—861no—
404#416—862no—
405#391C2×D4312yescomplemented
406#390C2×D4312yescomplemented
407#386—22no—
408#380—22no—
409#343—434no—
410#339—434no—
411C43#2094311yescharacteristic, complemented, Sylow
412C2×#41—22no—
413C2×#41—21no—
414C2×#41—21no—
415C2×#41—22no—
416C2×#41—21no—
417C2×#41—21no—
418C2×#41—22no—
419C2×#41—434no—
420C2×#41—432no—
421C2×#41—434no—
422C2×#41—432no—
423C2×#41—862no—
424C2×#41—861no—
425C2×#41—862no—
426C2×#41—861no—
427C2×#41C4×D4314yescomplemented
428C22×Q8—431no—
429C22×Q8C22×D4311yescharacteristic
430C22×D4—21no—
431C22×D4—431no—
432C22×D4—861no—
433C22×D4C22×D4311yescharacteristic
434C23×C4—21no—
435C23×C4—862no—
436C23×C4—861no—
437C23×C4C22⋊D4312yes—
438C23×C4C22×D4311yescharacteristic
439#137—438no—
440#137—864no—
441#137—868no—
442AGL(1,ℤ/8)—438no—
443AGL(1,ℤ/8)—864no—
444AGL(1,ℤ/8)—868no—
445#135—8616no—
446C2×Q16—862no—
447C2×SD16—862no—
448C2×SD16—862no—
449C2×D8—862no—
450C2×M16—434no—
451C2×M16—432no—
452C2×M16—432no—
453C2×M16—861no—
454C2×M16—862no—
455C2×M16—861no—
456C2×M16—862no—
457C2×M16—862no—
458C22×C8—861no—
459C22×C8—861no—
460C4×Q8—864no—
461C4×Q8—864no—
462C4×D4—864no—
463C4×D4—864no—
464C4×D4—868no—
465C4×D4—868no—
466#117—22no—
467#117—22no—
468#117—432no—
469#117—432no—
470#117—864no—
471#117—864no—
472#117—861no—
473#117—861no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—431no—
481C2×C4⋊C4—864no—
482C2×C4⋊C4—864no—
483C2×C4⋊C4—862no—
484C2×C4⋊C4C22⋊D4312yes—
485C2×C4⋊C4C22×D4312yes—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—24no—
488C2×C22⋊C4—862no—
489C2×C22⋊C4—861no—
490C2×C42—862no—
491C2×C42—861no—
492C2×C42C22×D4312yes—
493#104—868no—
494#103—862no—
495#103—862no—
496#102—862no—
497#102—862no—
498#95—24no—
499C24—21no—
500C24—861no—
501C24C2×C22⋊D4311yescharacteristic
502#41—24no—
503#41—24no—
504#41—24no—
505#41—24no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—42no—
510#41—438no—
511#41—434no—
512#41—434no—
513#41—864no—
514#41—864no—
515#41—864no—
516#41—864no—
517#41—864no—
518#41—862no—
519#41—862no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—434no—
526C2×Q8—432no—
527C2×Q8—861no—
528C2×Q8—862no—
529C2×Q8C2×C4×D4312yescomplemented
530C2×D4—24no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—41no—
537C2×D4—41no—
538C2×D4—42no—
539C2×D4—434no—
540C2×D4—432no—
541C2×D4—864no—
542C2×D4—862no—
543C2×D4—864no—
544C2×D4—862no—
545C2×D4—861no—
546C2×D4—862no—
547C2×D4C2×C4×D4312yescomplemented
548C22×C4—22no—
549C22×C4—21no—
550C22×C4—22no—
551C22×C4—24no—
552C22×C4—22no—
553C22×C4—41no—
554C22×C4—41no—
555C22×C4—42no—
556C22×C4—82no—
557C22×C4—868no—
558C22×C4—861no—
559C22×C4—864no—
560C22×C4—862no—
561C22×C4—864no—
562C22×C4—862no—
563C22×C4—861no—
564C22×C4—861no—
565C22×C4—3444no—
566C22×C4C2×C4×D4312yes—
567C22×C4#1062189812yes—
568C22×C4D4×D4311yescharacteristic
569C22×C4D4×D4311yescharacteristic
570C22×C4D4×D4312yes—
571C22×C4D4×D4311yescharacteristic
572C22×C4D4×D4311yescharacteristic
573C22×C4#1062190012yes—
574C22×C4C2×C22⋊D4314yes—
575C22×C4C2×C22⋊D4311yescharacteristic
576C22×C4C23×D4311yescharacteristic
577Q16—868no—
578SD16—868no—
579SD16—868no—
580D8—868no—
581M16—434no—
582M16—864no—
583M16—862no—
584M16—862no—
585M16—862no—
586M16—1722no—
587C2×C8—864no—
588C2×C8—862no—
589C2×C8—862no—
590C2×C8—1722no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—42no—
596C4⋊C4—432no—
597C4⋊C4—432no—
598C4⋊C4—868no—
599C4⋊C4—861no—
600C4⋊C4—861no—
601C22⋊C4—42no—
602C22⋊C4—84no—
603C22⋊C4—868no—
604C22⋊C4—862no—
605C22⋊C4—862no—
606C42—22no—
607C42—22no—
608C42—868no—
609C42—862no—
610C42—862no—
611C23—22no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—42no—
616C23—41no—
617C23—41no—
618C23—862no—
619C23—864no—
620C23—1722no—
621C23—1722no—
622C23C4×C22⋊D4312yes—
623C23#1306329311yescharacteristic
624C23#1306329311yescharacteristic
625C23#1306329612yes—
626C23C22×C22⋊D4311yescharacteristic
627Q8—22no—
628Q8—22no—
629Q8—41no—
630Q8—41no—
631Q8—434no—
632Q8—862no—
633Q8—864no—
634D4—22no—
635D4—22no—
636D4—44no—
637D4—44no—
638D4—41no—
639D4—41no—
640D4—434no—
641D4—864no—
642D4—864no—
643D4—868no—
644D4—862no—
645D4—864no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—44no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—82no—
658C2×C4—862no—
659C2×C4—864no—
660C2×C4—864no—
661C2×C4—864no—
662C2×C4—868no—
663C2×C4—862no—
664C2×C4—862no—
665C2×C4—3448no—
666C2×C4—1722no—
667C2×C4—1722no—
668C2×C4C22⋊C4×D4312yes—
669C2×C4C22⋊C4×D4312yes—
670C2×C4(C22⋊D43)⋊C412yes—
671C2×C4(C22⋊D43)⋊C412yes—
672C2×C4C4×C22⋊D4312yes—
673C2×C4#1306329311yescharacteristic
674C2×C4#1306329311yescharacteristic
675C2×C4#1306329612yes—
676C2×C4#1306329812yes—
677C2×C4#1306329812yes—
678C2×C4#1306330712yes—
679C2×C4#1306330712yes—
680C2×C4C22×C4×D4311yescharacteristic
681C2×C4C2×D4×D4311yescharacteristic
682C2×C4C2×D4×D4311yescharacteristic
683C2×C4C2×D4×D4311yescharacteristic
684C2×C4C2×#1062190011yescharacteristic
685C2×C4C2×#1062189811yescharacteristic
686C8—864no—
687C8—1722no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—42no—
698C22—82no—
699C22—81no—
700C22—81no—
701C22—864no—
702C22—1728no—
703C22—1722no—
704C22—1722no—
705C22#1458277512yes—
706C22#1458277512yes—
707C22C2×C4×C22⋊D4311yescharacteristic
708C22C2×#1306329311yescharacteristic
709C22C2×#1306329611yescharacteristic
710C4—44no—
711C4—42no—
712C4—82no—
713C4—864no—
714C4—1722no—
715C4—1722no—
716C4#1458277512yes—
717C4#1458277512yes—
718C4C2×C22⋊C4×D4311yescharacteristic
719C4C2×(C22⋊D43)⋊C411yescharacteristic
720C4C2×#1306329811yescharacteristic
721C4C2×#1306330711yescharacteristic
722C2—21no—
723C2—21no—
724C2—22no—
725C2—22no—
726C2—82no—
727C2—1724no—
728C2C2×#1458277511yescharacteristic
729C2#1914395111yescharacteristic
730C2#1914395811yescharacteristic
subgroupG/H
centerC22C2×#13063293
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2311C2
socleC22×C43C2×#120
prime radicalC2×#14583697C2
cosocleC22×C4×C43C24
hypercenter#2311D43
hypocenterC43#20943
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2311

Complements

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

NH ≅ G/Ntype
2. C2×#14583380C2semidirect
3. C2×#14582917C2semidirect
4. #19143114C2semidirect
5. #19134974C2semidirect
6. #19134967C2semidirect
7. C2×#14582668C2semidirect
8. #19134305C2semidirect
9. C43×#2311C2semidirect
12. #14583697C4semidirect
32. #14582908C22semidirect
33. #14582904C22semidirect
37. #14582668C22semidirect
38. #14582659C22semidirect
42. C43×#391C22semidirect
43. C43×#390C22semidirect
60. #13063356C2×C4semidirect
63. #13063351C2×C4semidirect
75. C2×#10621877C2×C4semidirect
113. C2×#41×C43C2×C4semidirect
149. C2×Q8×C43C22×C4semidirect
159. C2×D4×C43C22×C4semidirect
194. #10621898C22⋊C4semidirect
199. C2×D172C22⋊C4semidirect
209. C2×Dic86C22⋊C4semidirect
240. #10621877C22×C4semidirect
361. #2311D43semidirect
405. #391C2×D43semidirect
406. #390C2×D43semidirect
411. C43#20943semidirect
427. C2×#41C4×D43semidirect
529. C2×Q8C2×C4×D43semidirect
547. C2×D4C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145836972
C2×#145833802
C2×#145829172
#191431142
#191349742
#191349672
C2×#145826682
#191343052
C43×#23112
#2094343