Finite Group Databasebeta

← #6513495

Subgroups — #6513495

Order 512.

2382 conjugacy classes of subgroups.

The subgroup lattice has 802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3110C211yesmaximal, characteristic, complemented
2C2×#2973C211yesmaximal, characteristic, complemented
3#35172C211yesmaximal, characteristic, complemented
4C2×#2535C211yesmaximal, characteristic
5#28235C214yesmaximal, complemented
6#28155C214yesmaximal, complemented
7#25400C214yesmaximal, complemented
8#25350C214yesmaximal, complemented
9#24556C212yesmaximal, complemented
10#24552C212yesmaximal, complemented
11#24385C212yesmaximal, complemented
12#24379C212yesmaximal, complemented
13#21986C211yesmaximal, characteristic, complemented
14#21866C211yesmaximal, characteristic, complemented
15#20738C211yesmaximal, characteristic, complemented
16C2×#533C2211yescharacteristic
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21#3110—28no—
22C2×#484C2212yes—
23C2×#474C2212yescomplemented
24C2×#468C2214yescomplemented
25C2×#465C2214yescomplemented
26C2×#461C2212yescomplemented
27C2×#450C2212yes—
28#2973—28no—
29C2×#440C2214yescomplemented
30C2×#435C2214yescomplemented
31C2×#435C2214yescomplemented
32C2×#432C2211yescharacteristic
33C2×#432C2211yescharacteristic
34C2×#407C2212yes—
35C22×C22⋊C8C2212yes—
36#2848C2212yes—
37#2848C2212yes—
38#2626—21no—
39#2626—21no—
40#2580—22no—
41#2566—22no—
42#2563C2212yescomplemented
43#2542C2212yescomplemented
44#2538C2212yescomplemented
45#2538C2212yescomplemented
46#2535—22no—
47#2535—22no—
48#2535C2214yes—
49#2535C2214yes—
50C2×#397—21no—
51C2×#392—21no—
52#2317—21no—
53#2309—21no—
54C2×#386—21no—
55C2×#386—21no—
56#2285C2211yescharacteristic
57C2×#382C2211yescharacteristic
58C2×#380C2211yescharacteristic
59C2×#380C2211yescharacteristic
60#2076C2214yescomplemented
61#2075C2214yescomplemented
62#2036C2214yescomplemented
63#2035C2214yescomplemented
64#2034C2214yescomplemented
65#2033C2214yescomplemented
66#2000C2214yescomplemented
67#2000C2214yescomplemented
68#1993C2212yescomplemented
69#1960C2212yescomplemented
70#1949C2214yescomplemented
71#1895C2214yescomplemented
72#1894C2214yescomplemented
73#1893C2214yescomplemented
74#1892C2214yescomplemented
75#1872C2212yes—
76#1872C2212yes—
77#1853C2212yes—
78#1852C2212yes—
79#1847C2212yescomplemented
80#1836C2212yescomplemented
81#1824C2212yes—
82#1809C2214yescomplemented
83#1808C2214yescomplemented
84#1805C2214yescomplemented
85#1802C2212yescomplemented
86#1802C2212yescomplemented
87#1786C2212yes—
88#1762C2214yescomplemented
89C23×D4—21no—
90C23×D4—21no—
91C23×D4D411yescharacteristic
92C23×D4C2311yescharacteristic
93C24×C4—21no—
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C22×SD16C2314yes—
97C22×M16C2314yes—
98C23×C8C2314yes—
99#533—24no—
100#533—24no—
101C2×C4⋊Q8C2311yescharacteristic
102C2×C4⋊Q8C2311yescharacteristic
103C2×#125—21no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8C2312yes—
106C2×C22⋊Q8C2312yes—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×#121—22no—
111C2×#121—22no—
112C2×#121—44no—
113C2×#121—44no—
114C2×#121C2314yes—
115C2×#121C2314yes—
116C2×C4×Q8—21no—
117C2×C4×Q8C2312yes—
118C2×C4×D4—24no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—24no—
122C2×C4×D4—24no—
123C2×C4×D4—24no—
124C2×C4×D4D412yes—
125C2×C4×D4D412yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C2×C4×D4C2312yes—
130C2×#117—21no—
131C2×#117—21no—
132C22×C4⋊C4D411yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C22⋊C4—21no—
141C22×C22⋊C4D411yescharacteristic
142C22×C22⋊C4D411yescharacteristic
143C22×C42C2311yescharacteristic
144#484—28no—
145#474—28no—
146#468—48no—
147#465—48no—
148#461—28no—
149#450—28no—
150#440—216no—
151#435—216no—
152#435—216no—
153#432—24no—
154#432D418yescomplemented
155C2×#107C2314yes—
156C2×#107C2314yes—
157C2×#106C2314yes—
158C2×C4⋊C8C2312yes—
159C2×C4⋊C8C2312yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166#407—28no—
167C2×C22⋊C8—28no—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172C2×#97C2312yes—
173C2×#97C2312yes—
174#399—22no—
175#399—22no—
176#397—24no—
177#397—24no—
178#396—22no—
179#396—22no—
180#396—22no—
181#396—22no—
182#393—22no—
183#393—22no—
184#392—24no—
185#392—24no—
186#390—22no—
187#390—22no—
188#390—22no—
189#390—22no—
190#389—22no—
191#389—22no—
192#386—24no—
193#386—24no—
194#386—24no—
195#386—24no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—22no—
200#385—22no—
201#385—22no—
202#384—22no—
203#384C2311yescharacteristic
204#384C2311yescharacteristic
205#382—22no—
206#382—21no—
207#382—21no—
208#382—21no—
209#382C2312yes—
210#382C2312yes—
211#380—21no—
212#380—22no—
213#380—22no—
214#380C2312yes—
215#380C2312yes—
216#380C2312yes—
217#380C2312yes—
218#380C2314yes—
219#380C2314yes—
220#380C2312yes—
221#379—22no—
222#379—22no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4C2312yes—
225C2×#95—21no—
226C2×#95—21no—
227C2×#95—21no—
228C2×#95—21no—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235C25—21no—
236C25C2×D411yescharacteristic
237C25C2×D411yescharacteristic
238C22×Q8—21no—
239C22×Q8C2412yes—
240C22×D4—24no—
241C22×D4—24no—
242C22×D4—24no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—21no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4—44no—
251C22×D4—44no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4—82no—
255C22×D4—82no—
256C22×D4C2×D412yes—
257C22×D4C2×D412yes—
258C22×D4C2412yes—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—42no—
269C23×C4—42no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—44no—
273C23×C4—82no—
274C23×C4—82no—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D412yes—
280C23×C4C2×D411yescharacteristic
281C23×C4C2412yes—
282C23×C4C2412yes—
283C23×C4C2411yescharacteristic
284C2×SD16—28no—
285C2×SD16—28no—
286C2×SD16—44no—
287C2×M16—28no—
288C2×M16—44no—
289C2×M16—44no—
290C22×C8—28no—
291C22×C8—44no—
292C22×C8—44no—
293C22×C8C2414yes—
294C22×C8C2414yes—
295C4⋊Q8—22no—
296C4⋊Q8—22no—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299#125—44no—
300C22⋊Q8—24no—
301C22⋊Q8—24no—
302C22⋊Q8—44no—
303C22⋊Q8—44no—
304C22⋊Q8—44no—
305C22⋊Q8—44no—
306C22⋊Q8—44no—
307#121—28no—
308#121—28no—
309#121—44no—
310#121—44no—
311#121—48no—
312#121—48no—
313C4×Q8—24no—
314C4×Q8—24no—
315C4×Q8—44no—
316C4×D4—28no—
317C4×D4—28no—
318C4×D4—24no—
319C4×D4—24no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—24no—
324C4×D4—24no—
325C4×D4—24no—
326C4×D4—44no—
327C4×D4—44no—
328#117—44no—
329#117—44no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—42no—
351C2×C4⋊C4C2×D412yes—
352C2×C4⋊C4C2×D412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—44no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4—44no—
380C2×C22⋊C4—82no—
381C2×C22⋊C4—82no—
382C2×C22⋊C4C2×D412yes—
383C2×C22⋊C4C2×D412yes—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D414yes—
391C2×C42#4114yes—
392C2×C42C2411yescharacteristic
393C2×C42C2411yescharacteristic
394#107—28no—
395#107—44no—
396#106—44no—
397C4⋊C8—24no—
398C4⋊C8C2×D418yescomplemented
399#103—28no—
400#103—44no—
401#103—44no—
402#102—28no—
403#102—28no—
404#102—44no—
405C22⋊C8—24no—
406C22⋊C8—28no—
407C22⋊C8—28no—
408C22⋊C8C2×D418yes—
409#97—24no—
410#97C2×D418yescomplemented
411#95—24no—
412#95—24no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423C24—22no—
424C24—22no—
425C24—24no—
426C24—22no—
427C24—22no—
428C24—22no—
429C24—22no—
430C24—41no—
431C24—41no—
432C24—41no—
433C24—41no—
434C24—41no—
435C24—41no—
436C24—41no—
437C24—41no—
438C24—42no—
439C24—42no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24#13714yes—
445C24C22×D412yes—
446C24C22×D412yes—
447C24C22×D411yescharacteristic
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—24no—
451C2×Q8—24no—
452C2×Q8—42no—
453C2×Q8—81no—
454C2×Q8—81no—
455C2×D4—24no—
456C2×D4—24no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—48no—
466C2×D4—48no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4—416no—
470C2×D4—42no—
471C2×D4—48no—
472C2×D4—48no—
473C2×D4—48no—
474C2×D4—48no—
475C2×D4—42no—
476C2×D4—84no—
477C2×D4—84no—
478C2×D4—816no—
479C2×D4—816no—
480C2×D4H(5,𝔽2)14yes—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—84no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4—82no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4—82no—
533C22×C4—816no—
534C22×C4#12114yes—
535C22×C4#12114yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D412yes—
544C22×C4C2×#4112yes—
545C22×C4C2511yescharacteristic
546SD16—416no—
547M16—88no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—88no—
554C2×C8C22×D418yes—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—81no—
576C4⋊C4—81no—
577C4⋊C4—82no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—84no—
596C22⋊C4—84no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C42—44no—
602C42—44no—
603C42#12114yes—
604C42#12114yes—
605C42C22×D412yes—
606C42C22×D412yes—
607C42C2×#4112yes—
608C42C2×#4112yes—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—28no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—24no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—44no—
629C23—44no—
630C23—48no—
631C23—44no—
632C23—48no—
633C23—48no—
634C23—44no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—44no—
640C23—42no—
641C23—42no—
642C23—82no—
643C23—82no—
644C23—82no—
645C23—82no—
646C23—82no—
647C23—82no—
648C23—82no—
649C23—82no—
650C23—84no—
651C23—84no—
652C23—84no—
653C23—84no—
654C23C2×#12112yes—
655C23C2×#13714yes—
656C23C2×#13712yes—
657C23#57512yes—
658C23C23×D411yescharacteristic
659Q8—44no—
660Q8—44no—
661Q8—84no—
662D4—24no—
663D4—24no—
664D4—48no—
665D4—48no—
666D4—48no—
667D4—42no—
668D4—42no—
669D4—816no—
670D4—816no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—28no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—84no—
717C2×C4—84no—
718C2×C4—88no—
719C2×C4—88no—
720C2×C4—82no—
721C2×C4—82no—
722C2×C4—84no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4C2×#12112yes—
726C2×C4C2×#12112yes—
727C2×C4C2×#12112yes—
728C2×C4C2×#12112yes—
729C2×C4C2×#12112yes—
730C2×C4C23×D411yescharacteristic
731C2×C4C22×#4111yescharacteristic
732C2×C4C2×H(5,𝔽2)12yes—
733C2×C4#58512yes—
734C8—28no—
735C8—44no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—44no—
754C22—42no—
755C22—42no—
756C22—44no—
757C22—42no—
758C22—44no—
759C22—88no—
760C22—88no—
761C22—816no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22#305614yes—
767C22C22×#12111yescharacteristic
768C22#348411yescharacteristic
769C22#348511yescharacteristic
770C22C22×#13711yescharacteristic
771C22C2×#57511yescharacteristic
772C22#358511yescharacteristic
773C22#358511yescharacteristic
774C4—22no—
775C4—22no—
776C4—22no—
777C4—22no—
778C4—22no—
779C4—42no—
780C4—42no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4#348812yes—
789C4#349412yes—
790C2—24no—
791C2—44no—
792C2—82no—
793C2—84no—
794C2#3551411yescharacteristic
795C2C2×#305611yescharacteristic
796C2#6045411yescharacteristic
797C2#6157011yescharacteristic
798C2#6157611yescharacteristic
799C2#6170811yescharacteristic
800C2#6171311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2535C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3110C2semidirect
2. C2×#2973C2semidirect
3. #35172C2semidirect
5. #28235C2semidirect
6. #28155C2semidirect
7. #25400C2semidirect
8. #25350C2semidirect
9. #24556C2semidirect
10. #24552C2semidirect
11. #24385C2semidirect
12. #24379C2semidirect
13. #21986C2semidirect
14. #21866C2semidirect
15. #20738C2semidirect
23. C2×#474C22semidirect
24. C2×#468C22semidirect
25. C2×#465C22semidirect
26. C2×#461C22semidirect
29. C2×#440C22semidirect
30. C2×#435C22semidirect
31. C2×#435C22semidirect
42. #2563C22semidirect
43. #2542C22semidirect
44. #2538C22semidirect
45. #2538C22semidirect
60. #2076C22semidirect
61. #2075C22semidirect
62. #2036C22semidirect
63. #2035C22semidirect
64. #2034C22semidirect
65. #2033C22semidirect
66. #2000C22semidirect
67. #2000C22semidirect
68. #1993C22semidirect
69. #1960C22semidirect
70. #1949C22semidirect
71. #1895C22semidirect
72. #1894C22semidirect
73. #1893C22semidirect
74. #1892C22semidirect
79. #1847C22semidirect
80. #1836C22semidirect
82. #1809C22semidirect
83. #1808C22semidirect
84. #1805C22semidirect
85. #1802C22semidirect
86. #1802C22semidirect
88. #1762C22semidirect
154. #432D4semidirect
398. C4⋊C8C2×D4semidirect
410. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31102
C2×#29732
#351722
C2×#25352
#282352
#281552
#254002
#253502
#245562
#245522
#243852
#243792
#219862
#218662
#207382