Finite Group Databasebeta

← #6471405

Subgroups — #6471405

Order 512.

3178 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
1#35014C211yesmaximal, characteristic, complemented
2C2×D4×C22⋊C4C211yesmaximal, characteristic
3#32956C211yesmaximal, characteristic, complemented
4#32905C211yesmaximal, characteristic, complemented
5#32881C212yesmaximal
6#29952C211yesmaximal, characteristic, complemented
7#29893C212yesmaximal, complemented
8#29714C211yesmaximal, characteristic, complemented
9#27520C214yesmaximal, complemented
10#27224C214yesmaximal, complemented
11#25156C214yesmaximal, complemented
12#24901C214yesmaximal, complemented
13#22043C212yesmaximal, complemented
14#21902C211yesmaximal, characteristic, complemented
15C4×#450C212yesmaximal, complemented
16C24×D4C2211yescharacteristic
17C22×C4×D4C2211yescharacteristic
18C22×C4×D4C2211yescharacteristic
19C23×C22⋊C4—21no—
20C2×#476C2212yescomplemented
21C2×#461C2212yescomplemented
22C2×#450C2212yes—
23C2×#450C2212yes—
24C2×#450C2214yes—
25C2×#450C2214yes—
26C2×C4×SD16C2214yescomplemented
27#2857C2211yescharacteristic, complemented
28#2857C2211yescharacteristic, complemented
29#2848C2212yes—
30#2646—21no—
31#2626—21no—
32#2589—22no—
33#2587—22no—
34#2497C2212yescomplemented
35#2492C2212yescomplemented
36#2429C2212yescomplemented
37#2423C2212yescomplemented
38D4×C22⋊C4—22no—
39D4×C22⋊C4—22no—
40D4×C22⋊C4C2214yes—
41D4×C22⋊C4C2214yes—
42#2329—21no—
43#2312—21no—
44C4×C22⋊Q8C2212yescomplemented
45C2×#390C2211yescharacteristic
46C2×#390C2211yescharacteristic
47C2×#386—21no—
48C2×#386—21no—
49C2×#380C2211yescharacteristic
50C2×#379—21no—
51C2×C4×C22⋊C4C2211yescharacteristic
52#2094C2212yescomplemented
53#2077C2214yescomplemented
54#2077C2214yescomplemented
55#2071C2212yescomplemented
56#2065C2214yescomplemented
57#2055C2214yescomplemented
58#2035C2214yescomplemented
59#2035C2214yescomplemented
60#2023C2212yescomplemented
61#2013C2212yescomplemented
62#1968C2214yescomplemented
63#1934C2214yescomplemented
64#1926C2214yescomplemented
65#1923C2214yescomplemented
66#1923C2214yescomplemented
67#1880C2214yescomplemented
68#1877C2214yescomplemented
69#1877C2214yescomplemented
70#1872C2212yescomplemented
71#1872C2212yescomplemented
72#1864C2214yescomplemented
73#1864C2214yescomplemented
74#1853C2212yescomplemented
75#1853C2212yescomplemented
76#1802C2212yescomplemented
77#1802C2212yescomplemented
78#1797C2211yescharacteristic, complemented
79#1797C2211yescharacteristic, complemented
80#1786C2212yes—
81#1786C2214yes—
82#1786C2214yes—
83#1786C2212yes—
84#1779C2212yes—
85C4×#102C2214yescomplemented
86C4×C22⋊C8C2212yescomplemented
87C26—21no—
88C23×D4—24no—
89C23×D4—24no—
90C23×D4—22no—
91C23×D4—21no—
92C23×D4—44no—
93C23×D4—44no—
94C23×D4C2311yescharacteristic
95C23×D4C2314yes—
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C24×C4—21no—
99C24×C4C2311yescharacteristic
100C22×SD16C2314yes—
101C22×SD16C2314yes—
102C2×C4⋊Q8C2311yescharacteristic, complemented
103C2×C4⋊Q8C2311yescharacteristic, complemented
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8C2312yes—
106C2×C22⋊Q8C2312yes—
107C2×C22⋊Q8C2312yes—
108C2×C4×Q8C2312yescomplemented
109C2×C4×D4—22no—
110C2×C4×D4—21no—
111C2×C4×D4—21no—
112C2×C4×D4—44no—
113C2×C4×D4—44no—
114C2×C4×D4C2312yes—
115C2×C4×D4C2312yes—
116C2×C4×D4C2314yes—
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C22⋊C4—21no—
120C22×C22⋊C4—21no—
121C22×C22⋊C4—21no—
122C22×C22⋊C4—21no—
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—24no—
127C22×C22⋊C4—24no—
128C22×C22⋊C4—48no—
129C22×C22⋊C4D411yescharacteristic
130C22×C22⋊C4D411yescharacteristic
131C22×C42C2311yescharacteristic
132C22×C42C2311yescharacteristic
133#476—44no—
134#461—44no—
135#450—28no—
136#450—28no—
137#450—48no—
138#450—48no—
139C4×SD16—48no—
140C2×#106C2314yescomplemented
141C2×#106C2314yescomplemented
142C2×C4⋊C8C2312yescomplemented
143C2×C4⋊C8C2312yescomplemented
144C2×#103C2314yescomplemented
145C2×#103C2314yescomplemented
146C2×#102C2314yes—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×C22⋊C8C2312yes—
153C2×C22⋊C8C2312yes—
154C2×C22⋊C8C2314yes—
155C2×C22⋊C8C2314yes—
156C2×C4×C8C2314yescomplemented
157#400—22no—
158#400—22no—
159#399—22no—
160#398—22no—
161#398—22no—
162#396—22no—
163#396—22no—
164#393—22no—
165#391—21no—
166#391—22no—
167#391C2312yescomplemented
168#391C2312yescomplemented
169#390—22no—
170#390—21no—
171#390—21no—
172#390C2312yes—
173#390C2312yes—
174#390C2314yes—
175#389—21no—
176#389—21no—
177#389—21no—
178#389—22no—
179#389C2312yescomplemented
180#389C2312yescomplemented
181#388—22no—
182#388—22no—
183#388—22no—
184#388—22no—
185#387—22no—
186#387—22no—
187#387—22no—
188#386—24no—
189#386—24no—
190#386—24no—
191#386—24no—
192#385—22no—
193#385—22no—
194#385—22no—
195#385—22no—
196#384C2311yescharacteristic, complemented
197#384C2311yescharacteristic, complemented
198#380—21no—
199#380—21no—
200#380—21no—
201#380—22no—
202#380C2312yes—
203#380C2312yes—
204#380C2314yes—
205#380C2312yes—
206#379—22no—
207#379—24no—
208#379—24no—
209C4×C4⋊C4—22no—
210C4×C4⋊C4C2312yescomplemented
211C4×C22⋊C4—22no—
212C4×C22⋊C4D412yes—
213C4×C22⋊C4D412yes—
214C4×C22⋊C4C2312yes—
215C4×C22⋊C4C2312yes—
216C2×#95—21no—
217C2×#95D411yescharacteristic
218C2×#95D411yescharacteristic
219#340C2314yescomplemented
220#340C2314yescomplemented
221#340C2314yescomplemented
222#340C2314yescomplemented
223#336C2312yescomplemented
224#336C2312yescomplemented
225#336C2314yescomplemented
226C25—21no—
227C25—28no—
228C25—21no—
229C25—24no—
230C25—44no—
231C25—44no—
232C25—44no—
233C25—44no—
234C25—82no—
235C25—82no—
236C25C2×D411yescharacteristic
237C22×Q8—21no—
238C22×Q8C2412yes—
239C22×D4—24no—
240C22×D4—24no—
241C22×D4—28no—
242C22×D4—216no—
243C22×D4—28no—
244C22×D4—28no—
245C22×D4—28no—
246C22×D4—28no—
247C22×D4—21no—
248C22×D4—24no—
249C22×D4—21no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—42no—
253C22×D4—42no—
254C22×D4—44no—
255C22×D4—44no—
256C22×D4—48no—
257C22×D4—48no—
258C22×D4—432no—
259C22×D4—432no—
260C22×D4—44no—
261C22×D4—44no—
262C22×D4#4114yes—
263C22×D4#4114yes—
264C22×D4C2412yes—
265C22×D4C2412yes—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—24no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—42no—
274C23×C4—42no—
275C23×C4—44no—
276C23×C4—44no—
277C23×C4—44no—
278C23×C4—44no—
279C23×C4—82no—
280C23×C4—82no—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D412yes—
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2412yes—
288C23×C4C2411yescharacteristic
289C2×SD16—28no—
290C2×SD16—28no—
291C2×SD16—28no—
292C2×SD16—28no—
293C2×SD16—44no—
294C2×SD16—44no—
295C22×C8C2414yes—
296C22×C8C2414yes—
297C4⋊Q8—42no—
298C4⋊Q8—42no—
299C22⋊Q8—24no—
300C22⋊Q8—24no—
301C22⋊Q8—44no—
302C22⋊Q8—44no—
303C22⋊Q8—44no—
304C4×Q8—44no—
305C4×D4—28no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—44no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—48no—
312C4×D4—44no—
313C4×D4—44no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—42no—
353C2×C22⋊C4—44no—
354C2×C22⋊C4—44no—
355C2×C22⋊C4—44no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—416no—
359C2×C22⋊C4—416no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4—82no—
362C2×C22⋊C4SD1618yescomplemented
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—42no—
370C2×C42—42no—
371C2×C42C2×D412yes—
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2412yes—
375C2×C42C2411yescharacteristic
376C2×C42C2411yescharacteristic
377#106—44no—
378#106—44no—
379C4⋊C8—42no—
380C4⋊C8—42no—
381#103—44no—
382#103—44no—
383#102—28no—
384#102—28no—
385#102—28no—
386#102—28no—
387#102—44no—
388#102—44no—
389C22⋊C8—24no—
390C22⋊C8—24no—
391C22⋊C8—44no—
392C22⋊C8—44no—
393C4×C8—44no—
394#95—24no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95C2×D412yes—
406#95C2×D412yes—
407#95C2×D412yes—
408#95C2×D412yes—
409C24—24no—
410C24—24no—
411C24—22no—
412C24—24no—
413C24—22no—
414C24—22no—
415C24—216no—
416C24—24no—
417C24—22no—
418C24—41no—
419C24—41no—
420C24—41no—
421C24—41no—
422C24—48no—
423C24—48no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—432no—
431C24—432no—
432C24—48no—
433C24—42no—
434C24—42no—
435C24—48no—
436C24—42no—
437C24—42no—
438C24—84no—
439C24—84no—
440C24—816no—
441C24—816no—
442C24—816no—
443C24—816no—
444C24—816no—
445C24C2×SD1614yes—
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—216no—
458C2×D4—216no—
459C2×D4—216no—
460C2×D4—24no—
461C2×D4—24no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—24no—
467C2×D4—24no—
468C2×D4—48no—
469C2×D4—48no—
470C2×D4—48no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—48no—
474C2×D4—416no—
475C2×D4—416no—
476C2×D4—464no—
477C2×D4—416no—
478C2×D4—432no—
479C2×D4—416no—
480C2×D4C2×#4114yes—
481C2×D4C2×#4114yes—
482C2×D4H(5,𝔽2)14yes—
483C2×D4H(5,𝔽2)14yes—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—48no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—84no—
527C22×C4—82no—
528C22×C4—82no—
529C22×C4—816no—
530C22×C4—816no—
531C22×C4C2×SD1614yes—
532C22×C4C2×SD1614yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D412yes—
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C4C2511yescharacteristic
544SD16—416no—
545SD16—88no—
546C2×C8—24no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—81no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—81no—
572C4⋊C4—81no—
573C4⋊C4—81no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—48no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—48no—
581C22⋊C4—44no—
582C22⋊C4—48no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—84no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4C2×SD1618yes—
593C22⋊C4C2×SD1618yes—
594C42—24no—
595C42—22no—
596C42—22no—
597C42—42no—
598C42—41no—
599C42—41no—
600C42—82no—
601C42—82no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—216no—
607C23—22no—
608C23—22no—
609C23—28no—
610C23—22no—
611C23—24no—
612C23—24no—
613C23—24no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—24no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—48no—
622C23—48no—
623C23—48no—
624C23—48no—
625C23—48no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—48no—
630C23—432no—
631C23—432no—
632C23—48no—
633C23—42no—
634C23—42no—
635C23—48no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—48no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—816no—
646C23—816no—
647C23—84no—
648C23—84no—
649C23—84no—
650C23—84no—
651C23—816no—
652C23—8128no—
653C23—816no—
654C23—816no—
655C23#52512yes—
656C23C22×SD1614yes—
657C23C22×SD1612yes—
658C23#57512yes—
659C23C23×D411yescharacteristic
660Q8—44no—
661Q8—44no—
662Q8—162no—
663D4—216no—
664D4—24no—
665D4—24no—
666D4—24no—
667D4—28no—
668D4—48no—
669D4—432no—
670D4—44no—
671D4#53818yes—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—22no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—48no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
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—42no—
717C2×C4—42no—
718C2×C4—816no—
719C2×C4—88no—
720C2×C4—88no—
721C2×C4—82no—
722C2×C4—82no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4#52512yes—
726C2×C4C22×SD1614yes—
727C2×C4C22×SD1612yes—
728C2×C4C22×SD1612yes—
729C2×C4C22×#4111yescharacteristic
730C2×C4C22×#4111yescharacteristic
731C2×C4C2×H(5,𝔽2)12yes—
732C2×C4C2×H(5,𝔽2)12yes—
733C8—44no—
734C8—44no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—28no—
745C22—432no—
746C22—416no—
747C22—44no—
748C22—44no—
749C22—44no—
750C22—42no—
751C22—44no—
752C22—42no—
753C22—44no—
754C22—42no—
755C22—44no—
756C22—42no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—816no—
761C22—864no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22#310114yes—
767C22C2×#52511yescharacteristic
768C22#348411yescharacteristic
769C22#348411yescharacteristic
770C22C23×SD1611yescharacteristic
771C22C2×#57511yescharacteristic
772C22#358511yescharacteristic
773C22#358511yescharacteristic
774C4—24no—
775C4—22no—
776C4—22no—
777C4—22no—
778C4—42no—
779C4—41no—
780C4—41no—
781C4—42no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4C2×#53812yes—
789C4#349012yes—
790C2—24no—
791C2—44no—
792C2—48no—
793C2—84no—
794C2#3498811yescharacteristic
795C2C2×#310111yescharacteristic
796C2#6056411yescharacteristic
797C2#6156011yescharacteristic
798C2#6156011yescharacteristic
799C2#6157611yescharacteristic
800C2#6158111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC24×D4C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35014C2semidirect
3. #32956C2semidirect
4. #32905C2semidirect
6. #29952C2semidirect
7. #29893C2semidirect
8. #29714C2semidirect
9. #27520C2semidirect
10. #27224C2semidirect
11. #25156C2semidirect
12. #24901C2semidirect
13. #22043C2semidirect
14. #21902C2semidirect
15. C4×#450C2semidirect
20. C2×#476C22semidirect
21. C2×#461C22semidirect
26. C2×C4×SD16C22semidirect
27. #2857C22semidirect
28. #2857C22semidirect
34. #2497C22semidirect
35. #2492C22semidirect
36. #2429C22semidirect
37. #2423C22semidirect
44. C4×C22⋊Q8C22semidirect
52. #2094C22semidirect
53. #2077C22semidirect
54. #2077C22semidirect
55. #2071C22semidirect
56. #2065C22semidirect
57. #2055C22semidirect
58. #2035C22semidirect
59. #2035C22semidirect
60. #2023C22semidirect
61. #2013C22semidirect
62. #1968C22semidirect
63. #1934C22semidirect
64. #1926C22semidirect
65. #1923C22semidirect
66. #1923C22semidirect
67. #1880C22semidirect
68. #1877C22semidirect
69. #1877C22semidirect
70. #1872C22semidirect
71. #1872C22semidirect
72. #1864C22semidirect
73. #1864C22semidirect
74. #1853C22semidirect
75. #1853C22semidirect
76. #1802C22semidirect
77. #1802C22semidirect
78. #1797C22semidirect
79. #1797C22semidirect
85. C4×#102C22semidirect
86. C4×C22⋊C8C22semidirect
102. C2×C4⋊Q8C23semidirect
103. C2×C4⋊Q8C23semidirect
108. C2×C4×Q8C23semidirect
140. C2×#106C23semidirect
141. C2×#106C23semidirect
142. C2×C4⋊C8C23semidirect
143. C2×C4⋊C8C23semidirect
144. C2×#103C23semidirect
145. C2×#103C23semidirect
156. C2×C4×C8C23semidirect
167. #391C23semidirect
168. #391C23semidirect
179. #389C23semidirect
180. #389C23semidirect
196. #384C23semidirect
197. #384C23semidirect
210. C4×C4⋊C4C23semidirect
219. #340C23semidirect
220. #340C23semidirect
221. #340C23semidirect
222. #340C23semidirect
223. #336C23semidirect
224. #336C23semidirect
225. #336C23semidirect
362. C2×C22⋊C4SD16semidirect

Maximal subgroups

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

subgroupindex
#350142
C2×D4×C22⋊C42
#329562
#329052
#328812
#299522
#298932
#297142
#275202
#272242
#251562
#249012
#220432
#219022
C4×#4502