Finite Group Databasebeta

← #6380992

Subgroups — #6380992

Order 512.

1934 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2943C211yesmaximal, characteristic
2#60128C212yesmaximal, complemented
3#22804C212yesmaximal, complemented
4#22784C214yesmaximal, complemented
5#22687C212yesmaximal, complemented
6#22607C211yesmaximal, characteristic, complemented
7#22606C211yesmaximal, characteristic, complemented
8#22587C212yesmaximal, complemented
9#22586C212yesmaximal, complemented
10#22454C211yesmaximal, characteristic
11#22452C211yesmaximal, characteristic
12#21297C212yesmaximal, complemented
13#21139C214yesmaximal, complemented
14#20830C211yesmaximal, characteristic, complemented
15#20747C212yesmaximal, complemented
16#20512C212yesmaximal, complemented
17#20479C211yesmaximal, characteristic, complemented
18C22×#135C2211yescharacteristic
19C2×C4×#41C2212yes—
20C2×#444C2212yes—
21C2×#443C2212yes—
22#2943C412yescomplemented
23#2943C412yescomplemented
24#2943C412yescomplemented
25#2943C412yescomplemented
26#2943C2212yes—
27#2943C2211yescharacteristic
28#2943C2211yescharacteristic
29#2943C2211yescharacteristic
30#2943C2212yes—
31#2943C2211yescharacteristic
32C2×#442C412yescomplemented
33C2×#441C412yescomplemented
34C2×#440C412yescomplemented
35C2×#440C412yescomplemented
36#2925—24no—
37#2925C2214yescomplemented
38#2924—22no—
39#2924—22no—
40#2924C2212yes—
41#2924C2212yes—
42#2923—24no—
43#2923C2214yescomplemented
44#2920—22no—
45#2920C2212yes—
46C2×#432—22no—
47C2×#432C2211yescharacteristic
48C2×#427C2211yescharacteristic
49#2906C2214yescomplemented
50C2×#416C2212yes—
51#2880C2212yes—
52#2880C2212yes—
53#2875C2214yescomplemented
54C22×#97C2211yescharacteristic
55C4×#117C2211yescharacteristic
56#1975C2212yes—
57#1974C2212yes—
58#1946C2212yescomplemented
59#1945C2212yescomplemented
60#1938C2214yescomplemented
61#1937C2214yescomplemented
62#1929C2214yescomplemented
63#1929C2214yescomplemented
64#1922C2214yescomplemented
65#1922C2214yescomplemented
66#1876C2214yes—
67#1876C2214yes—
68#1866C2214yescomplemented
69#1866C2214yescomplemented
70#1849C2212yescomplemented
71#1838C2212yescomplemented
72#1826C2212yes—
73#1826C2212yes—
74#1810C2212yes—
75#1810C2211yescharacteristic
76#1810C2211yescharacteristic
77#1806C2214yescomplemented
78#1806C2214yescomplemented
79#1789C2212yes—
80#1789C2212yes—
81#1778C2212yescomplemented
82#1778C2212yescomplemented
83#1773C2212yescomplemented
84#1772C2212yescomplemented
85#1771C2212yescomplemented
86#1771C2212yescomplemented
87#1765C2214yescomplemented
88#1764C2214yescomplemented
89C4×#104C2214yescomplemented
90C4×#104C2214yescomplemented
91#1752C2211yescharacteristic
92#1752C2211yescharacteristic
93C8×C22⋊C4C2211yescharacteristic
94C8×C22⋊C4C2211yescharacteristic
95#1745C2212yescomplemented
96C4×#97C2212yescomplemented
97C22×#41C2312yes—
98C2×#135—28no—
99C2×#135C2×C411yescharacteristic
100C2×#135C2×C412yes—
101C2×#135C2×C411yescharacteristic
102C2×#135C2312yes—
103C2×#135C2311yescharacteristic
104C2×#135C2311yescharacteristic
105C22×Q16C2×C411yescharacteristic
106C22×SD16C2×C412yes—
107C22×D8C2×C411yescharacteristic
108C2×#131C2314yes—
109C2×#131C2314yes—
110C23×C8C2311yescharacteristic
111C23×C8C2311yescharacteristic
112C4×#41—22no—
113C4×#41—22no—
114C4×#41—22no—
115C4×#41—22no—
116C4×#41C2×C412yes—
117C4×#41C2×C412yes—
118C4×#41C2×C412yes—
119C4×#41C2×C412yes—
120C4×#41C2312yes—
121C4×#41C2312yes—
122C4×#41C2312yes—
123C4×#41C2312yes—
124C2×C4×Q8C2×C412yes—
125C2×C4×Q8C2×C412yes—
126C2×C4×D4—22no—
127C2×C4×D4—22no—
128C2×C4×D4C2×C412yes—
129C2×C4×D4C2×C412yes—
130C2×#117—21no—
131C2×#117—22no—
132C2×#117C2312yes—
133C22×C42—22no—
134C22×C42C2311yescharacteristic
135#444—28no—
136#443—28no—
137#442C2×C412yes—
138#442C2×C412yes—
139#442C2×C412yes—
140#442C2×C412yes—
141#442C2×C412yes—
142#442C2×C412yes—
143#442C2×C412yes—
144#442C2×C412yes—
145#441C2×C412yes—
146#441C2×C412yes—
147#441C2×C412yes—
148#441C2×C412yes—
149#441C2×C412yes—
150#441C2×C412yes—
151#441C2×C412yes—
152#441C2×C412yes—
153#440C2×C412yes—
154#440C2×C412yes—
155#440C2×C412yes—
156#440C2×C412yes—
157#440C2×C412yes—
158#440C2×C412yes—
159#440C2×C412yes—
160#440C2×C412yes—
161#440C2×C412yes—
162#440C2×C412yes—
163#440C2×C412yes—
164#440C2×C412yes—
165#440C2×C412yes—
166#440C2×C412yes—
167#440C2×C412yes—
168#440C2×C412yes—
169#433—24no—
170#433—24no—
171#433—24no—
172#433—24no—
173#433—24no—
174#433—24no—
175#432—22no—
176#432—22no—
177#432—24no—
178#432—22no—
179#432—22no—
180#432—24no—
181#432—24no—
182#432D412yes—
183#432D412yes—
184#432D414yes—
185#431—22no—
186#431—22no—
187#431—24no—
188#431—22no—
189#431—22no—
190C2×#108C2312yes—
191C2×#108C2312yes—
192C2×#108C2314yes—
193#427C2×C411yescharacteristic
194#427C2×C411yescharacteristic
195#427C2×C412yes—
196#427C2312yes—
197#427C2311yescharacteristic
198#427C2311yescharacteristic
199C2×#107C2×C411yescharacteristic
200C2×#107C2×C411yescharacteristic
201C2×#106C2×C412yes—
202#424—24no—
203#424—24no—
204#424C2314yes—
205#424C2314yes—
206#423—24no—
207#423C2314yes—
208C2×C4⋊C8—24no—
209C2×C4⋊C8C2312yes—
210C2×#104C2314yes—
211C2×#104C2314yes—
212C2×#104C2314yes—
213C2×#104C2314yes—
214#416C2×C412yes—
215#416C2×C412yes—
216#416C2×C412yes—
217#416C2×C412yes—
218#416C2312yes—
219#416C2312yes—
220#416C2312yes—
221#416C2312yes—
222C2×#103C2×C412yes—
223C2×#103C2×C412yes—
224C2×#102C2×C412yes—
225C2×#102C2×C412yes—
226#408—24no—
227#408—24no—
228#408C2314yes—
229#408C2314yes—
230#407—22no—
231#407—22no—
232#407C2312yes—
233#407C2312yes—
234C2×C22⋊C8—22no—
235C2×C22⋊C8—22no—
236C2×C22⋊C8C2311yescharacteristic
237C2×C22⋊C8C2311yescharacteristic
238#405—24no—
239#405—24no—
240#405C2314yes—
241#405C2314yes—
242C4×M16—24no—
243C4×M16C2314yes—
244C2×#97—24no—
245C2×#97C2×C412yes—
246C2×#97C2×C412yes—
247C2×#97C2×C412yes—
248C2×#97C2×C412yes—
249C2×#97C2312yes—
250C2×#97C2312yes—
251C2×#97C2311yescharacteristic
252C2×#97C2311yescharacteristic
253C2×#97C2311yescharacteristic
254C2×#97C2311yescharacteristic
255C2×#97C2312yes—
256C2×C4×C8C2312yes—
257C2×C4×C8C2312yes—
258C4×C4⋊C4—21no—
259C4×C4⋊C4C2312yes—
260C4×C22⋊C4—21no—
261C4×C22⋊C4C2311yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263#376—21no—
264C43C2312yes—
265#341C2312yes—
266#341C2312yes—
267#341C2314yes—
268#339C2314yes—
269#339C2314yes—
270#339C2314yes—
271#339C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C2×#41—22no—
277C2×#41—22no—
278C2×#41—28no—
279C2×#41—44no—
280C2×#41C22×C412yes—
281C2×#41C22×C412yes—
282C2×#41C2412yes—
283C2×#41C2412yes—
284C22×Q8C22×C412yes—
285C22×D4—22no—
286C22×D4C22×C412yes—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4#4111yescharacteristic
291C23×C4#4111yescharacteristic
292C23×C4C2411yescharacteristic
293#135—28no—
294#135—24no—
295#135—28no—
296#135—24no—
297#135—24no—
298#135#4118yes—
299C2×Q16—24no—
300C2×Q16C22×C412yes—
301C2×Q16C22×C411yescharacteristic
302C2×Q16C22×C411yescharacteristic
303C2×SD16—28no—
304C2×SD16C22×C412yes—
305C2×SD16C22×C412yes—
306C2×SD16C22×C412yes—
307C2×SD16C22×C412yes—
308C2×D8—24no—
309C2×D8C22×C412yes—
310C2×D8C22×C411yescharacteristic
311C2×D8C22×C411yescharacteristic
312#131—28no—
313#131—28no—
314#131—44no—
315#131—44no—
316C2×M16—24no—
317C2×M16—24no—
318C2×M16C2414yes—
319C2×M16C2414yes—
320C22×C8—24no—
321C22×C8—24no—
322C22×C8—24no—
323C22×C8—42no—
324C22×C8C22×C411yescharacteristic
325C22×C8C22×C411yescharacteristic
326C22×C8C22×C411yescharacteristic
327C22×C8C22×C411yescharacteristic
328C22×C8C22×C412yes—
329C22×C8C22×C412yes—
330C22×C8C2411yescharacteristic
331C22×C8C2411yescharacteristic
332C22×C8C2411yescharacteristic
333C22×C8C2412yes—
334C22×C8C2412yes—
335C22×C8C2411yescharacteristic
336C4×Q8—22no—
337C4×Q8—22no—
338C4×Q8—22no—
339C4×Q8—22no—
340C4×Q8C22×C412yes—
341C4×Q8C22×C412yes—
342C4×Q8C22×C412yes—
343C4×Q8C22×C412yes—
344C4×Q8C22×C412yes—
345C4×Q8C22×C412yes—
346C4×Q8C22×C412yes—
347C4×Q8C22×C412yes—
348C4×D4—22no—
349C4×D4—22no—
350C4×D4—22no—
351C4×D4—22no—
352C4×D4—22no—
353C4×D4—22no—
354C4×D4—22no—
355C4×D4—22no—
356C4×D4—22no—
357C4×D4—22no—
358C4×D4—22no—
359C4×D4—22no—
360C4×D4—22no—
361C4×D4—22no—
362C4×D4—22no—
363C4×D4—22no—
364C4×D4—22no—
365C4×D4—22no—
366C4×D4—22no—
367C4×D4—22no—
368C4×D4C22×C412yes—
369C4×D4C22×C412yes—
370C4×D4C22×C412yes—
371C4×D4C22×C412yes—
372C4×D4C22×C412yes—
373C4×D4C22×C412yes—
374C4×D4C22×C412yes—
375C4×D4C22×C412yes—
376#117—22no—
377#117—22no—
378#117—22no—
379#117—22no—
380#117—22no—
381#117—22no—
382#117—22no—
383#117—22no—
384#117—22no—
385#117—22no—
386#117—44no—
387#117C22×C412yes—
388#117C22×C412yes—
389#117C2412yes—
390#117C2412yes—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4C22×C412yes—
395C2×C4⋊C4C22×C412yes—
396C2×C22⋊C4—21no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—21no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42C22×C412yes—
415C2×C42C22×C412yes—
416C2×C42C2×D412yes—
417C2×C42C2×D412yes—
418C2×C42#4111yescharacteristic
419C2×C42#4111yescharacteristic
420C2×C42C2412yes—
421C2×C42C2412yes—
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424#108—24no—
425#108—24no—
426#108—44no—
427#107C22×C412yes—
428#107C22×C412yes—
429#107C22×C411yescharacteristic
430#107C22×C411yescharacteristic
431#107C22×C411yescharacteristic
432#107C22×C411yescharacteristic
433#106C22×C412yes—
434#106C22×C412yes—
435#106C22×C412yes—
436#106C22×C412yes—
437C4⋊C8—24no—
438C4⋊C8—24no—
439C4⋊C8—24no—
440C4⋊C8—24no—
441C4⋊C8—24no—
442C4⋊C8—24no—
443C4⋊C8C2×D414yes—
444C4⋊C8C2×D414yes—
445#104—28no—
446#104—28no—
447#104—44no—
448#104—44no—
449#103C22×C412yes—
450#103C22×C412yes—
451#103C22×C412yes—
452#103C22×C412yes—
453#103C22×C412yes—
454#103C22×C412yes—
455#103C22×C412yes—
456#103C22×C412yes—
457#102C22×C412yes—
458#102C22×C412yes—
459#102C22×C412yes—
460#102C22×C412yes—
461#102C22×C412yes—
462#102C22×C412yes—
463#102C22×C412yes—
464#102C22×C412yes—
465C22⋊C8—22no—
466C22⋊C8—22no—
467C22⋊C8—22no—
468C22⋊C8—22no—
469C22⋊C8—24no—
470C22⋊C8—24no—
471C22⋊C8—24no—
472C22⋊C8—24no—
473C22⋊C8C2×D411yescharacteristic
474C22⋊C8C2×D412yes—
475C22⋊C8C2×D411yescharacteristic
476C22⋊C8C2×D412yes—
477C22⋊C8C2×D412yes—
478#97—24no—
479#97—24no—
480#97—24no—
481#97—24no—
482#97—42no—
483#97C22×C412yes—
484#97C22×C412yes—
485#97C22×C412yes—
486#97C22×C412yes—
487#97C22×C412yes—
488#97C22×C412yes—
489#97C22×C412yes—
490#97C22×C412yes—
491#97C2×D414yes—
492#97C2×D414yes—
493C4×C8—24no—
494C4×C8—24no—
495C4×C8—24no—
496C4×C8—24no—
497C4×C8—42no—
498#95—22no—
499#95—21no—
500#95—21no—
501C24—22no—
502C24C2×#4111yescharacteristic
503#41—24no—
504#41—24no—
505#41—24no—
506#41—24no—
507#41—24no—
508#41—48no—
509#41—42no—
510#41—42no—
511#41—48no—
512#41C2×#4118yes—
513C2×Q8—22no—
514C2×Q8—24no—
515C2×Q8—42no—
516C2×Q8C23×C412yes—
517C2×Q8C23×C412yes—
518C2×D4—22no—
519C2×D4—24no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—42no—
525C2×D4—48no—
526C2×D4C23×C412yes—
527C2×D4C23×C412yes—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—22no—
543C22×C4—22no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—42no—
548C22×C4—48no—
549C22×C4—84no—
550C22×C4—81no—
551C22×C4—84no—
552C22×C4C4×D412yes—
553C22×C4C4×D412yes—
554C22×C4C4×D412yes—
555C22×C4C4×D412yes—
556C22×C4C23×C411yescharacteristic
557C22×C4C23×C411yescharacteristic
558C22×C4C22×D411yescharacteristic
559C22×C4C22×D411yescharacteristic
560C22×C4C2×#4111yescharacteristic
561C22×C4C2×#4111yescharacteristic
562C22×C4C2×#4111yescharacteristic
563C22×C4C2×#4111yescharacteristic
564C22×C4C2×#4111yescharacteristic
565C22×C4C2511yescharacteristic
566Q16—24no—
567Q16—22no—
568Q16#11714yescomplemented
569SD16—24no—
570SD16—24no—
571SD16—24no—
572SD16#11718yescomplemented
573D8—24no—
574D8—22no—
575D8#11714yescomplemented
576M16—24no—
577M16—24no—
578M16—24no—
579M16—24no—
580M16—48no—
581M16—48no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—22no—
586C2×C8—22no—
587C2×C8—22no—
588C2×C8—22no—
589C2×C8—22no—
590C2×C8—22no—
591C2×C8—22no—
592C2×C8—22no—
593C2×C8—24no—
594C2×C8—24no—
595C2×C8—42no—
596C2×C8—42no—
597C2×C8—48no—
598C2×C8—48no—
599C2×C8C23×C412yes—
600C2×C8C23×C412yes—
601C2×C8C23×C411yescharacteristic
602C2×C8C23×C411yescharacteristic
603C2×C8C23×C411yescharacteristic
604C2×C8C23×C411yescharacteristic
605C2×C8C22×D412yes—
606C2×C8C22×D414yes—
607C2×C8C22×D412yes—
608C2×C8C2×#4114yes—
609C4⋊C4—22no—
610C4⋊C4—22no—
611C4⋊C4—22no—
612C4⋊C4—22no—
613C4⋊C4—22no—
614C4⋊C4—22no—
615C4⋊C4—22no—
616C4⋊C4—22no—
617C4⋊C4—22no—
618C4⋊C4—22no—
619C4⋊C4—44no—
620C4⋊C4C23×C412yes—
621C4⋊C4C23×C412yes—
622C4⋊C4C23×C412yes—
623C4⋊C4C23×C412yes—
624C22⋊C4—24no—
625C22⋊C4—22no—
626C22⋊C4—22no—
627C22⋊C4—22no—
628C22⋊C4—22no—
629C22⋊C4—22no—
630C22⋊C4—22no—
631C22⋊C4—22no—
632C22⋊C4—22no—
633C22⋊C4—22no—
634C22⋊C4—22no—
635C22⋊C4—22no—
636C22⋊C4—22no—
637C22⋊C4—42no—
638C42—22no—
639C42—22no—
640C42—22no—
641C42—22no—
642C42—22no—
643C42—22no—
644C42—22no—
645C42—22no—
646C42—22no—
647C42—22no—
648C42—22no—
649C42—22no—
650C42—22no—
651C42—22no—
652C42—22no—
653C42—22no—
654C42—44no—
655C42—82no—
656C42C4×D412yes—
657C42C4×D412yes—
658C42C4×D412yes—
659C42C4×D412yes—
660C42C23×C412yes—
661C42C23×C412yes—
662C42C22×D412yes—
663C42C22×D412yes—
664C23—22no—
665C23—22no—
666C23—22no—
667C23—22no—
668C23—41no—
669C23—44no—
670C23—44no—
671C23—82no—
672C23C2×C4×D411yescharacteristic
673C23C2×C4×D411yescharacteristic
674C23C22×#4111yescharacteristic
675Q8—22no—
676Q8—22no—
677Q8—22no—
678Q8—44no—
679Q8C2×#11714yes—
680D4—28no—
681D4—22no—
682D4—22no—
683D4—22no—
684D4—44no—
685D4—44no—
686D4—44no—
687D4—44no—
688D4C2×#11714yes—
689C2×C4—22no—
690C2×C4—24no—
691C2×C4—22no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—28no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—24no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—22no—
704C2×C4—22no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—41no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—82no—
725C2×C4—82no—
726C2×C4—82no—
727C2×C4—82no—
728C2×C4—82no—
729C2×C4—82no—
730C2×C4—82no—
731C2×C4C2×C4×D411yescharacteristic
732C2×C4C2×C4×D412yes—
733C2×C4C2×C4×D412yes—
734C2×C4C2×C4×D412yes—
735C2×C4C2×C4×D412yes—
736C2×C4C2×C4×D411yescharacteristic
737C2×C4C24×C411yescharacteristic
738C2×C4C23×D411yescharacteristic
739C2×C4C22×#4112yes—
740C2×C4#58512yes—
741C8—21no—
742C8—21no—
743C8—22no—
744C8—22no—
745C8—22no—
746C8—24no—
747C8—22no—
748C8—44no—
749C8—44no—
750C8C2×#11712yes—
751C8C2×#11712yes—
752C22—21no—
753C22—21no—
754C22—21no—
755C22—21no—
756C22—21no—
757C22—21no—
758C22—21no—
759C22—24no—
760C22—44no—
761C22—42no—
762C22—42no—
763C22—42no—
764C22—42no—
765C22—42no—
766C22—88no—
767C22#295612yes—
768C22C22×C4×D411yescharacteristic
769C22#347512yes—
770C4—22no—
771C4—22no—
772C4—22no—
773C4—22no—
774C4—21no—
775C4—21no—
776C4—24no—
777C4—44no—
778C4—42no—
779C4—42no—
780C4—42no—
781C4—42no—
782C4—42no—
783C4—82no—
784C4C22×#11711yescharacteristic
785C4#342811yescharacteristic
786C4D4×#4112yes—
787C2—22no—
788C2—22no—
789C2—41no—
790C2—44no—
791C2—82no—
792C2D4×#11711yescharacteristic
793C2C2×#295611yescharacteristic
794C2#6018211yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
socleC22C22×C4×D4
prime radicalC22×#135C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#432 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60128C2semidirect
3. #22804C2semidirect
4. #22784C2semidirect
5. #22687C2semidirect
6. #22607C2semidirect
7. #22606C2semidirect
8. #22587C2semidirect
9. #22586C2semidirect
12. #21297C2semidirect
13. #21139C2semidirect
14. #20830C2semidirect
15. #20747C2semidirect
16. #20512C2semidirect
17. #20479C2semidirect
22. #2943C4semidirect
23. #2943C4semidirect
24. #2943C4semidirect
25. #2943C4semidirect
32. C2×#442C4semidirect
33. C2×#441C4semidirect
34. C2×#440C4semidirect
35. C2×#440C4semidirect
37. #2925C22semidirect
43. #2923C22semidirect
49. #2906C22semidirect
53. #2875C22semidirect
58. #1946C22semidirect
59. #1945C22semidirect
60. #1938C22semidirect
61. #1937C22semidirect
62. #1929C22semidirect
63. #1929C22semidirect
64. #1922C22semidirect
65. #1922C22semidirect
68. #1866C22semidirect
69. #1866C22semidirect
70. #1849C22semidirect
71. #1838C22semidirect
77. #1806C22semidirect
78. #1806C22semidirect
81. #1778C22semidirect
82. #1778C22semidirect
83. #1773C22semidirect
84. #1772C22semidirect
85. #1771C22semidirect
86. #1771C22semidirect
87. #1765C22semidirect
88. #1764C22semidirect
89. C4×#104C22semidirect
90. C4×#104C22semidirect
95. #1745C22semidirect
96. C4×#97C22semidirect
568. Q16#117semidirect
572. SD16#117semidirect
575. D8#117semidirect

Maximal subgroups

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

subgroupindex
C2×#29432
#601282
#228042
#227842
#226872
#226072
#226062
#225872
#225862
#224542
#224522
#212972
#211392
#208302
#207472
#205122
#204792