Finite Group Databasebeta

← #25098114

Subgroups — #25098114

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×#14583699C211yesmaximal, characteristic
2C2×#14583379C211yesmaximal, characteristic, complemented
3C2×#14582917C211yesmaximal, characteristic, complemented
4#19143112C211yesmaximal, characteristic, complemented
5#19137183C211yesmaximal, characteristic, complemented
6#19134972C214yesmaximal, complemented
7#19134965C214yesmaximal, complemented
8C2×#14582667C211yesmaximal, characteristic, complemented
9C43×#1733C211yesmaximal, characteristic, complemented
10C22×#10621898C2211yescharacteristic
11C22×#10621898C2211yescharacteristic
12#14583699—24no—
13#14583699C418yescomplemented
14C2×#13063358—21no—
15C2×#13063358C2212yes—
16C2×#13063353—21no—
17C2×#13063353C2212yes—
18C2×#13063347—22no—
19C22×#10621877C2211yescharacteristic
20#14583379—22no—
21#14583379—22no—
22#14583379—22no—
23#14583379C2214yes—
24C2×C4×Dic86—21no—
25C2×C4×D172—21no—
26C2×(C22⋊D43)⋊C4—22no—
27C2×#13063283—21no—
28C22×C4⋊Dic43C2211yescharacteristic
29C2×C4⋊C4×D43—21no—
30#14582917—24no—
31C2×#13063253C2214yes—
32#14582907C2212yescomplemented
33#14582903C2212yescomplemented
34#14582898—21no—
35#14582898—21no—
36#14582893—22no—
37#14582805C2212yescomplemented
38#14582801C2212yescomplemented
39#14582776—22no—
40#14582756—22no—
41#14582667C2214yescomplemented
42C22×M16×C43C2211yescharacteristic
43C2×#117×C43C2211yescharacteristic
44C2×#117×C43C2211yescharacteristic
45C43×#339C2214yescomplemented
46C2×#10621898—21no—
47C2×#10621898—21no—
48C2×#10621898—22no—
49C2×#10621898—22no—
50C2×#10621898—22no—
51C2×#10621898—21no—
52C2×#10621898—21no—
53C2×#10621898—21no—
54C2×#10621898—21no—
55C2×#10621898—22no—
56C2×#10621898—22no—
57C2×#10621898C2×C414yes—
58C2×#10621898C2×C414yescomplemented
59C2×#10621898D414yes—
60C2×#10621898D412yes—
61C2×#10621898C2312yes—
62C22×Dic86D411yescharacteristic
63C22×Dic86C2311yescharacteristic
64C22×D172D411yescharacteristic
65C22×D172C2311yescharacteristic
66C22×C22⋊D43—21no—
67C22×C22⋊D43—21no—
68C23×Dic43D412yes—
69C22×C4×D43—21no—
70C22×C4×D43—21no—
71C22×C4×D43—22no—
72#13063358—24no—
73#13063358—28no—
74#13063358C2×C418yescomplemented
75#13063353—24no—
76#13063353—28no—
77#13063353C2×C418yescomplemented
78#13063347—216no—
79C2×Dic172—22no—
80C2×#10621873—22no—
81C2×#10621873—22no—
82C2×D344—22no—
83C2×#10621877—21no—
84C2×#10621877—22no—
85C2×#10621877—22no—
86C2×#10621877C2312yes—
87C22×C43⋊C8—21no—
88C4×Dic86—24no—
89C4×Dic86—24no—
90C4×D172—24no—
91C4×D172—24no—
92(C22⋊D43)⋊C4—28no—
93(C22⋊D43)⋊C4—28no—
94#13063283—24no—
95#13063283—24no—
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43—21no—
98C2×C4⋊Dic43—21no—
99C2×C4⋊Dic43—21no—
100C2×C4⋊Dic43D412yes—
101C2×C4⋊Dic43C2312yes—
102C2×Dic43⋊C4—22no—
103C4⋊C4×D43—24no—
104C4⋊C4×D43—24no—
105C2×(C2×D43)⋊C4—22no—
106C2×(C2×D43)⋊C4—24no—
107C2×C4×Dic43—22no—
108#13063253—28no—
109#13063248—22no—
110#13063248—22no—
111#13063245—22no—
112#13063245—22no—
113C43⋊#95—24no—
114C23×C4×C43C2311yescharacteristic
115C2×M16×C43—21no—
116C2×M16×C43—22no—
117C2×M16×C43C2×C414yescomplemented
118C2×M16×C43C2312yes—
119C22×C8×C43—21no—
120#117×C43—21no—
121#117×C43—21no—
122#117×C43—22no—
123#117×C43—22no—
124#117×C43D412yes—
125#117×C43C2312yes—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43D411yescharacteristic
128C2×C4⋊C4×C43D411yescharacteristic
129C2×C22⋊C4×C43—21no—
130C2×C22⋊C4×C43—21no—
131C2×C42×C43—21no—
132C2×C42×C43C2312yes—
133C24×C43C2×D411yescharacteristic
134C23×D43—21no—
135C23×D43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—22no—
139C22×C4×C43C22×C412yes—
140C22×C4×C43C2×D411yescharacteristic
141C22×C4×C43C2×D411yescharacteristic
142C22×C4×C43C2×D411yescharacteristic
143C22×C4×C43C2×D411yescharacteristic
144C22×C4×C43C2×D412yes—
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43#4112yes—
147C22×C4×C43#4112yes—
148C22×C4×C43C2411yescharacteristic
149C2×C22⋊D43—24no—
150C2×C22⋊D43—24no—
151C2×C22⋊D43—22no—
152C2×C22⋊D43—24no—
153C2×C22⋊D43—22no—
154C2×C22⋊D43—41no—
155C2×C22⋊D43—41no—
156C2×C22⋊D43—42no—
157C22×Dic43—21no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—21no—
161C22×Dic43—82no—
162C22×Dic43C2×D414yes—
163#10621898—24no—
164#10621898—24no—
165#10621898—24no—
166#10621898—24no—
167#10621898—24no—
168#10621898—22no—
169#10621898—22no—
170#10621898—24no—
171#10621898—24no—
172#10621898—24no—
173#10621898—24no—
174#10621898—42no—
175#10621898—42no—
176#10621898—42no—
177#10621898—42no—
178#10621898C22⋊C418yescomplemented
179#10621898C22×C414yes—
180#10621898C2×D414yes—
181C2×D172—21no—
182C2×D172—22no—
183C2×D172—21no—
184C2×D172—21no—
185C2×D172—21no—
186C2×D172—21no—
187C2×D172—21no—
188C2×D172C22⋊C414yescomplemented
189C2×D172C22×C412yescomplemented
190C2×D172C2×D412yes—
191C2×C4×D43—24no—
192C2×C4×D43—22no—
193C2×C4×D43—24no—
194C2×C4×D43—22no—
195C2×C4×D43—24no—
196C2×C4×D43—28no—
197C2×C4×D43—41no—
198C2×C4×D43—41no—
199C2×C4×D43—42no—
200C2×C4×D43—84no—
201C2×Dic86—21no—
202C2×Dic86—22no—
203C2×Dic86—21no—
204C2×Dic86—21no—
205C2×Dic86—21no—
206C2×Dic86—21no—
207C2×Dic86—21no—
208C2×Dic86C22⋊C414yescomplemented
209C2×Dic86C22×C412yescomplemented
210C2×Dic86C2×D412yes—
211M16×C43—24no—
212M16×C43—22no—
213M16×C43C22×C414yescomplemented
214C2×C8×C43—24no—
215C2×C8×C43—22no—
216C4⋊C4×C43—21no—
217C4⋊C4×C43—21no—
218C4⋊C4×C43—42no—
219C4⋊C4×C43C2×D412yes—
220C4⋊C4×C43C2×D412yes—
221C22⋊C4×C43—22no—
222C22⋊C4×C43—22no—
223C22⋊C4×C43—42no—
224C42×C43—22no—
225C42×C43—22no—
226C42×C43—22no—
227C42×C43—22no—
228(C2×D43)⋊C4—28no—
229(C2×D43)⋊C4—84no—
230C4⋊Dic43—22no—
231C4⋊Dic43—22no—
232C4⋊Dic43—22no—
233C4⋊Dic43—22no—
234Dic43⋊C4—28no—
235C4×Dic43—28no—
236#10621877—22no—
237#10621877—22no—
238#10621877—42no—
239C2×C43⋊C8—22no—
240C2×C43⋊C8—42no—
241Dic172—28no—
242D344—28no—
243#10621873—28no—
244#10621873—28no—
245C23×C43—41no—
246C23×C43—41no—
247C23×C43C4×D412yes—
248C23×C43#12011yescharacteristic
249C23×C43#12011yescharacteristic
250C23×C43#12112yes—
251C23×C43C22×D411yescharacteristic
252C22×D43—22no—
253C22×D43—24no—
254C22×D43—22no—
255C22×D43—42no—
256C22×D43—42no—
257C22×D43—42no—
258C22×D43—42no—
259C22×D43—41no—
260C22×D43—41no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—42no—
264C2×C4×C43—42no—
265C2×C4×C43—42no—
266C2×C4×C43—42no—
267C2×C4×C43—42no—
268C2×C4×C43C2×C22⋊C412yes—
269C2×C4×C43C2×C22⋊C412yes—
270C2×C4×C43C4×D412yes—
271C2×C4×C43C4×D412yes—
272C2×C4×C43C4×D412yes—
273C2×C4×C43#12011yescharacteristic
274C2×C4×C43#12011yescharacteristic
275C2×C4×C43#12112yes—
276C2×C4×C43#12112yes—
277C2×C4×C43#12112yes—
278C2×C4×C43#12312yes—
279C2×C4×C43#12312yes—
280C2×C4×C43C23×C411yescharacteristic
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C22×D411yescharacteristic
283C2×C4×C43C22×D411yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43C2×#4111yescharacteristic
286C22⋊D43—24no—
287C22⋊D43—24no—
288C22⋊D43—28no—
289C22⋊D43—44no—
290C22⋊D43—44no—
291C2×Dic43—22no—
292C2×Dic43—24no—
293C2×Dic43—22no—
294C2×Dic43—24no—
295C2×Dic43—44no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—44no—
299C2×Dic43—82no—
300D172—22no—
301D172—22no—
302D172—22no—
303D172—24no—
304D172—41no—
305D172—41no—
306D172C2×C22⋊C414yes—
307C4×D43—24no—
308C4×D43—24no—
309C4×D43—28no—
310C4×D43—44no—
311C4×D43—44no—
312C4×D43—88no—
313Dic86—22no—
314Dic86—24no—
315Dic86—22no—
316Dic86—22no—
317Dic86—41no—
318Dic86—41no—
319Dic86C2×C22⋊C414yes—
320C8×C43—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#38612yes—
332C22×C43#38612yes—
333C22×C43C2×C4×D411yescharacteristic
334C22×C43C2×#12011yescharacteristic
335C22×C43C2×#12111yescharacteristic
336C2×D43—24no—
337C2×D43—48no—
338C2×D43—42no—
339C2×D43—42no—
340C2×D43—44no—
341C2×D43—42no—
342C2×D43—82no—
343C2×D43—81no—
344C2×D43—81no—
345C4×C43—42no—
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—44no—
356Dic43—42no—
357C2×#575—431no—
358C2×#520—431no—
359C2×#421—431no—
360#2896—431no—
361#2311—431no—
362#1883—434no—
363#1882—434no—
364C2×#343—431no—
365#1733D4311yescharacteristic, complemented
366C2×C43—21no—
367C2×C43—21no—
368C2×C43—22no—
369C2×C43—22no—
370C2×C43C2×#38611yescharacteristic
371C2×C43#301911yescharacteristic
372C2×C43#302011yescharacteristic
373D43—44no—
374D43—82no—
375C22×#41—431no—
376C22×#41—431no—
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×M16C2×D4311yescharacteristic
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—861no—
394C2×#117C2×D4311yescharacteristic
395C2×#117C2×D4311yescharacteristic
396C22×C4⋊C4—431no—
397C22×C4⋊C4—861no—
398#421—864no—
399C2×#104—434no—
400#419—432no—
401#418—432no—
402#417—861no—
403#417—861no—
404#416—862no—
405#391—432no—
406#390—432no—
407#386—862no—
408#380—862no—
409#343—434no—
410#339C2×D4314yescomplemented
411C43#2094311yescharacteristic, complemented, Sylow
412C2×#41—434no—
413C2×#41—434no—
414C2×#41—432no—
415C2×#41—434no—
416C2×#41—432no—
417C2×#41—861no—
418C2×#41—862no—
419C2×#41—861no—
420C2×#41—862no—
421C2×#41—862no—
422C2×#41—861no—
423C2×#41—861no—
424C2×#41—862no—
425C2×#41—861no—
426C2×#41—861no—
427C2×#41—862no—
428C22×Q8—431no—
429C22×Q8—431no—
430C22×D4—431no—
431C22×D4—431no—
432C22×D4—861no—
433C22×D4—861no—
434C23×C4—432no—
435C23×C4—862no—
436C23×C4—861no—
437C23×C4—861no—
438C23×C4C22×D4311yescharacteristic
439#137—438no—
440#137—868no—
441#137—864no—
442AGL(1,ℤ/8)—438no—
443AGL(1,ℤ/8)—868no—
444AGL(1,ℤ/8)—864no—
445#135—8616no—
446C2×Q16—862no—
447C2×SD16—862no—
448C2×SD16—862no—
449C2×D8—862no—
450C2×M16—21no—
451C2×M16—22no—
452C2×M16—432no—
453C2×M16—861no—
454C2×M16—862no—
455C2×M16—862no—
456C2×M16C4×D4314yescomplemented
457C2×M16C22×D4312yes—
458C22×C8—21no—
459C22×C8—861no—
460C4×Q8—864no—
461C4×Q8—864no—
462C4×D4—864no—
463C4×D4—864no—
464C4×D4—868no—
465C4×D4—868no—
466#117—21no—
467#117—21no—
468#117—22no—
469#117—22no—
470#117—864no—
471#117—864no—
472#117D17212yes—
473#117C22×D4312yes—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—432no—
476C2×C4⋊C4—432no—
477C2×C4⋊C4—864no—
478C2×C4⋊C4—862no—
479C2×C4⋊C4—861no—
480C2×C4⋊C4—861no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—864no—
484C2×C4⋊C4D17211yescharacteristic
485C2×C4⋊C4D17211yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—862no—
489C2×C22⋊C4—864no—
490C2×C42—21no—
491C2×C42—862no—
492C2×C42C22×D4312yes—
493#104—868no—
494#103—862no—
495#103—862no—
496#102—862no—
497#102—862no—
498#95—864no—
499C24—861no—
500C24—861no—
501C24D4×D4311yescharacteristic
502#41—438no—
503#41—434no—
504#41—434no—
505#41—864no—
506#41—864no—
507#41—864no—
508#41—864no—
509#41—864no—
510#41—862no—
511#41—862no—
512#41—864no—
513#41—864no—
514#41—864no—
515#41—864no—
516#41—1722no—
517#41—1722no—
518#41—1722no—
519#41—1722no—
520C2×Q8—434no—
521C2×Q8—432no—
522C2×Q8—432no—
523C2×Q8—861no—
524C2×Q8—862no—
525C2×Q8—861no—
526C2×Q8—861no—
527C2×Q8—861no—
528C2×Q8—861no—
529C2×Q8—861no—
530C2×D4—434no—
531C2×D4—432no—
532C2×D4—432no—
533C2×D4—864no—
534C2×D4—862no—
535C2×D4—864no—
536C2×D4—862no—
537C2×D4—864no—
538C2×D4—861no—
539C2×D4—862no—
540C2×D4—861no—
541C2×D4—861no—
542C2×D4—861no—
543C2×D4—861no—
544C2×D4—861no—
545C2×D4—1721no—
546C2×D4—1721no—
547C2×D4—1722no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—22no—
551C22×C4—434no—
552C22×C4—868no—
553C22×C4—861no—
554C22×C4—864no—
555C22×C4—862no—
556C22×C4—864no—
557C22×C4—862no—
558C22×C4—862no—
559C22×C4—862no—
560C22×C4—861no—
561C22×C4—864no—
562C22×C4—3444no—
563C22×C4—3442no—
564C22×C4—1721no—
565C22×C4—1721no—
566C22×C4—1722no—
567C22×C4C2×C4×D4312yes—
568C22×C4C2×D17211yescharacteristic
569C22×C4C2×D17211yescharacteristic
570C22×C4#1062189812yes—
571C22×C4D4×D4311yescharacteristic
572C22×C4D4×D4311yescharacteristic
573C22×C4D4×D4312yes—
574C22×C4D4×D4311yescharacteristic
575C22×C4#1062190212yes—
576C22×C4C23×D4311yescharacteristic
577Q16—868no—
578SD16—868no—
579SD16—868no—
580D8—868no—
581M16—24no—
582M16—22no—
583M16—862no—
584M16—862no—
585M16—1722no—
586M16C2×C4×D4314yescomplemented
587C2×C8—24no—
588C2×C8—22no—
589C2×C8—862no—
590C2×C8—1722no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—42no—
594C4⋊C4—868no—
595C4⋊C4—862no—
596C4⋊C4—862no—
597C4⋊C4—862no—
598C4⋊C4—862no—
599C4⋊C4C2×D17212yes—
600C4⋊C4C2×D17212yes—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—42no—
604C22⋊C4—868no—
605C22⋊C4—3444no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—868no—
611C23—41no—
612C23—41no—
613C23—862no—
614C23—864no—
615C23—862no—
616C23—1722no—
617C23—1722no—
618C23—1722no—
619C23—1722no—
620C23—1721no—
621C23—1721no—
622C23#1306328712yes—
623C23#1306329511yescharacteristic
624C23#1306329511yescharacteristic
625C23#1306329812yes—
626C23C2×D4×D4311yescharacteristic
627Q8—434no—
628Q8—862no—
629Q8—864no—
630Q8—862no—
631Q8—862no—
632Q8—1721no—
633Q8—1721no—
634D4—434no—
635D4—864no—
636D4—864no—
637D4—868no—
638D4—862no—
639D4—862no—
640D4—862no—
641D4—864no—
642D4—1724no—
643D4—1724no—
644D4—1721no—
645D4—1721no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—862no—
654C2×C4—864no—
655C2×C4—864no—
656C2×C4—864no—
657C2×C4—868no—
658C2×C4—862no—
659C2×C4—864no—
660C2×C4—3448no—
661C2×C4—3442no—
662C2×C4—1724no—
663C2×C4—1721no—
664C2×C4—1721no—
665C2×C4—1724no—
666C2×C4—1724no—
667C2×C4—1724no—
668C2×C4C22⋊C4×D4312yes—
669C2×C4C22⋊C4×D4312yes—
670C2×C4#1306328712yes—
671C2×C4C4×D17212yes—
672C2×C4C4×D17212yes—
673C2×C4#1306329511yescharacteristic
674C2×C4#1306329511yescharacteristic
675C2×C4#1306329812yes—
676C2×C4#1306330012yes—
677C2×C4#1306330012yes—
678C2×C4#1306331012yes—
679C2×C4#1306331012yes—
680C2×C4C22×C4×D4311yescharacteristic
681C2×C4C2×D4×D4311yescharacteristic
682C2×C4C2×D4×D4311yescharacteristic
683C2×C4C22×D17211yescharacteristic
684C2×C4C2×#1062189811yescharacteristic
685C2×C4C2×#1062190211yescharacteristic
686C8—24no—
687C8—1722no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—42no—
695C22—42no—
696C22—864no—
697C22—3442no—
698C22—3441no—
699C22—3441no—
700C22—1724no—
701C22—1728no—
702C22—1722no—
703C22—1722no—
704C22—1722no—
705C22#1458277712yes—
706C22#1458277712yes—
707C22C2×#1306328711yescharacteristic
708C22C2×#1306329511yescharacteristic
709C22C2×#1306329811yescharacteristic
710C4—42no—
711C4—42no—
712C4—82no—
713C4—864no—
714C4—1724no—
715C4—1722no—
716C4#1458277712yes—
717C4#1458277712yes—
718C4C2×C22⋊C4×D4311yescharacteristic
719C4C2×C4×D17211yescharacteristic
720C4C2×#1306330011yescharacteristic
721C4C2×#1306331011yescharacteristic
722C2—21no—
723C2—21no—
724C2—22no—
725C2—22no—
726C2—3442no—
727C2—1724no—
728C2C2×#1458277711yescharacteristic
729C2#1914395411yescharacteristic
730C2#1914396111yescharacteristic
subgroupG/H
centerC22C2×#13063295
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1733C2
socleC22×C43C2×#120
prime radicalC2×#14583699C2
cosocleC22×C4×C43C24
hypercenter#1733D43
hypocenterC43#20943
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1733

Complements

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

NH ≅ G/Ntype
2. C2×#14583379C2semidirect
3. C2×#14582917C2semidirect
4. #19143112C2semidirect
5. #19137183C2semidirect
6. #19134972C2semidirect
7. #19134965C2semidirect
8. C2×#14582667C2semidirect
9. C43×#1733C2semidirect
13. #14583699C4semidirect
32. #14582907C22semidirect
33. #14582903C22semidirect
37. #14582805C22semidirect
38. #14582801C22semidirect
41. #14582667C22semidirect
45. C43×#339C22semidirect
58. C2×#10621898C2×C4semidirect
74. #13063358C2×C4semidirect
77. #13063353C2×C4semidirect
117. C2×M16×C43C2×C4semidirect
178. #10621898C22⋊C4semidirect
188. C2×D172C22⋊C4semidirect
189. C2×D172C22×C4semidirect
208. C2×Dic86C22⋊C4semidirect
209. C2×Dic86C22×C4semidirect
213. M16×C43C22×C4semidirect
365. #1733D43semidirect
410. #339C2×D43semidirect
411. C43#20943semidirect
456. C2×M16C4×D43semidirect
586. M16C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145836992
C2×#145833792
C2×#145829172
#191431122
#191371832
#191349722
#191349652
C2×#145826672
C43×#17332
#2094343