Finite Group Databasebeta

← #6593463

Subgroups — #6593463

Order 512.

2189 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36194C211yesmaximal, characteristic, complemented
2C4×D42C211yesmaximal, characteristic
3#33195C211yesmaximal, characteristic, complemented
4#32905C212yesmaximal, complemented
5#29139C211yesmaximal, characteristic, complemented
6#28252C211yesmaximal, characteristic, complemented
7#27626C212yesmaximal, complemented
8#27245C214yesmaximal, complemented
9#26739C214yesmaximal, complemented
10#24971C212yesmaximal, complemented
11#24659C212yesmaximal, complemented
12#24240C212yesmaximal
13#23101C212yesmaximal, complemented
14#22799C211yesmaximal, characteristic, complemented
15#22762C212yesmaximal, complemented
16C4×#461C211yesmaximal, characteristic, complemented
17#20738C212yesmaximal, complemented
18C2×D42C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2212yes—
21C2×#474C2212yes—
22C2×#460C2212yes—
23C2×#461C2211yescharacteristic
24C2×#461C2212yescomplemented
25C2×#450C2214yes—
26C2×C4×SD16C2212yes—
27C2×#432C2212yescomplemented
28#2868C2211yescharacteristic, complemented
29#2857C2212yescomplemented
30#2571—21no—
31#2563—21no—
32#2538C2212yes—
33#2497—22no—
34#2492C2214yescomplemented
35#2439—22no—
36#2369—21no—
37#2366C2211yescharacteristic
38#2361—21no—
39#2361C2212yes—
40#2358—22no—
41#2355C2212yescomplemented
42#2354—21no—
43D4×C4⋊C4C2211yescharacteristic
44D4×C4⋊C4C2211yescharacteristic
45D4×C22⋊C4—21no—
46D4×C22⋊C4C2212yes—
47C4×C4⋊Q8C2211yescharacteristic, complemented
48C4×#127C2211yescharacteristic
49C4×#121—21no—
50C4×#121C2212yes—
51C4×#120—22no—
52#2285C2212yescomplemented
53C42×D4C2211yescharacteristic
54C42×D4C2211yescharacteristic
55#2076C2214yescomplemented
56#2055C2214yescomplemented
57#2036C2214yescomplemented
58#2034C2214yes—
59#2023C2214yescomplemented
60#2000C2214yes—
61#1988C2212yescomplemented
62#1981C2211yescharacteristic, complemented
63#1973C2214yescomplemented
64#1957C2212yes—
65#1954C2212yes—
66#1948C2211yescharacteristic, complemented
67#1947C2212yescomplemented
68#1947C2212yescomplemented
69#1935C2214yescomplemented
70#1927C2212yescomplemented
71#1925C2214yescomplemented
72#1924C2214yescomplemented
73#1920C2214yescomplemented
74#1877C2212yes—
75#1877C2214yes—
76#1877C2214yescomplemented
77#1872C2214yescomplemented
78#1842C2211yescharacteristic, complemented
79#1834C2212yescomplemented
80#1824C2214yescomplemented
81#1803C2212yescomplemented
82#1802C2211yescharacteristic
83#1802C2212yes—
84#1802C2212yes—
85#1802C2212yescomplemented
86#1802C2212yescomplemented
87#1802C2212yescomplemented
88#1797C2212yescomplemented
89#1786C2214yes—
90#1770C2212yescomplemented
91C4×C4⋊C8C2211yescharacteristic, complemented
92#1762C2214yes—
93#1762C2214yescomplemented
94C4×#103C2212yescomplemented
95C23×D4—21no—
96C23×D4C2312yes—
97C24×C4—22no—
98C22×SD16C2312yes—
99C22×SD16C2314yes—
100D42—24no—
101D42—24no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—21no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2312yes—
106C2×#127C2311yescharacteristic
107C2×C22⋊Q8C2314yes—
108C2×#121—21no—
109C2×#121C2312yes—
110C2×#120—22no—
111C2×C4×Q8C2312yes—
112C2×C4×D4—21no—
113C2×C4×D4—22no—
114C2×C4×D4—21no—
115C2×C4×D4—22no—
116C2×C4×D4—28no—
117C2×C4×D4—21no—
118C2×C4×D4—22no—
119C2×C4×D4—22no—
120C2×C4×D4—21no—
121C2×C4×D4—44no—
122C2×C4×D4—48no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D411yescharacteristic
125C2×C4×D4C2312yes—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×C4×D4C2311yescharacteristic
132C2×#117—22no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4C2312yes—
135C22×C22⋊C4—22no—
136C22×C22⋊C4—22no—
137C22×C42—21no—
138C22×C42C2312yes—
139#474—44no—
140#461—24no—
141#461—44no—
142#460—28no—
143#450—48no—
144C4×SD16—28no—
145#432—44no—
146C2×#107C2314yes—
147C2×#106C2312yes—
148C2×C4⋊C8C2311yescharacteristic
149C2×C4⋊C8C2312yes—
150C2×C4⋊C8C2311yescharacteristic
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2312yes—
154C2×#103C2312yes—
155C2×#103C2314yes—
156C2×#103C2312yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2312yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164C2×#97C2314yes—
165C2×C4×C8C2312yes—
166#400—24no—
167#396—24no—
168#393—24no—
169#391—24no—
170#391C2312yes—
171#391C2314yes—
172#390—22no—
173#390—21no—
174#390—21no—
175#390—21no—
176#390C2312yes—
177#390C2312yes—
178#389—22no—
179#389—21no—
180#389—21no—
181#389—21no—
182#389—22no—
183#389—22no—
184#389C2312yes—
185#388—24no—
186#388—22no—
187#388—22no—
188#387—24no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#386—22no—
194#385—22no—
195#385—22no—
196#385—22no—
197#384—21no—
198#384—21no—
199#384C2311yescharacteristic
200#384C2311yescharacteristic
201#384C2312yes—
202#384C2312yes—
203#382—22no—
204#382—22no—
205#380—22no—
206#380—22no—
207#380—22no—
208#380—21no—
209#380C2312yes—
210#380C2314yes—
211#379—22no—
212C4×C4⋊C4—22no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—22no—
216C4×C4⋊C4D411yescharacteristic
217C4×C4⋊C4D411yescharacteristic
218C4×C4⋊C4C2311yescharacteristic
219C4×C4⋊C4C2314yes—
220C4×C4⋊C4C2311yescharacteristic
221C4×C4⋊C4C2311yescharacteristic
222C4×C4⋊C4C2311yescharacteristic
223C4×C22⋊C4—21no—
224C4×C22⋊C4—21no—
225C4×C22⋊C4—21no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4D412yes—
228C4×C22⋊C4D412yes—
229C4×C22⋊C4C2312yes—
230C43C2311yescharacteristic
231#340C2314yes—
232#340C2312yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#336C2314yes—
239#336C2312yes—
240C25—22no—
241C22×Q8—22no—
242C22×Q8C2412yes—
243C22×D4—28no—
244C22×D4—22no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—24no—
249C22×D4—22no—
250C22×D4—21no—
251C22×D4—21no—
252C22×D4—42no—
253C22×D4—42no—
254C22×D4—44no—
255C22×D4—44no—
256C22×D4C2×D411yescharacteristic
257C22×D4C2412yes—
258C22×D4C2411yescharacteristic
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—48no—
267C23×C4—48no—
268C23×C4—84no—
269C23×C4C2×D412yes—
270C23×C4C2×D412yes—
271C23×C4C2412yes—
272C2×SD16—24no—
273C2×SD16—24no—
274C2×SD16—24no—
275C2×SD16—28no—
276C2×SD16—44no—
277C2×SD16—44no—
278C22×C8C2412yes—
279C22×C8C2414yes—
280C22×C8C2412yes—
281C4⋊Q8—22no—
282C4⋊Q8—22no—
283C4⋊Q8—42no—
284C4⋊Q8—42no—
285C4⋊Q8—44no—
286C4⋊Q8—82no—
287#127—22no—
288#127#4114yes—
289C22⋊Q8—44no—
290C22⋊Q8—44no—
291#121—28no—
292#121—24no—
293#121—24no—
294#120—216no—
295C4×Q8—24no—
296C4×Q8—24no—
297C4×D4—24no—
298C4×D4—24no—
299C4×D4—22no—
300C4×D4—24no—
301C4×D4—24no—
302C4×D4—22no—
303C4×D4—22no—
304C4×D4—22no—
305C4×D4—24no—
306C4×D4—22no—
307C4×D4—24no—
308C4×D4—48no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—41no—
312C4×D4—48no—
313C4×D4—48no—
314C4×D4—44no—
315C4×D4—48no—
316C4×D4—44no—
317C4×D4—44no—
318C4×D4—82no—
319C4×D4#4114yes—
320C4×D4#4114yes—
321#117—84no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4C2×D411yescharacteristic
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2414yes—
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C22⋊C4—21no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—48no—
364C2×C22⋊C4—48no—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C42—24no—
369C2×C42—24no—
370C2×C42—21no—
371C2×C42—21no—
372C2×C42—21no—
373C2×C42—22no—
374C2×C42—24no—
375C2×C42—44no—
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D412yes—
378C2×C42C2×D412yes—
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2412yes—
383C2×C42C2411yescharacteristic
384C2×C42C2411yescharacteristic
385C2×C42C2411yescharacteristic
386#107—44no—
387#106—24no—
388C4⋊C8—24no—
389C4⋊C8—22no—
390C4⋊C8—22no—
391C4⋊C8—24no—
392C4⋊C8—42no—
393#103—24no—
394#103—24no—
395#103—42no—
396#103—44no—
397#102—24no—
398#102—28no—
399#102—28no—
400#102—44no—
401#102—44no—
402C22⋊C8—44no—
403C22⋊C8—44no—
404#97—44no—
405C4×C8—24no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—22no—
410#95—22no—
411#95—24no—
412#95—24no—
413#95—22no—
414#95—22no—
415#95—24no—
416#95—24no—
417#95C2×D412yes—
418#95C2×D412yes—
419#95C2×D412yes—
420C24—21no—
421C24—28no—
422C24—22no—
423C24—44no—
424C24—44no—
425C24—44no—
426C24—44no—
427C24—82no—
428C24—82no—
429C24C22×D412yes—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—44no—
437C2×Q8—82no—
438C2×Q8—82no—
439C2×D4—28no—
440C2×D4—28no—
441C2×D4—22no—
442C2×D4—24no—
443C2×D4—24no—
444C2×D4—22no—
445C2×D4—21no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—21no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—21no—
452C2×D4—22no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—48no—
456C2×D4—48no—
457C2×D4—432no—
458C2×D4—48no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—48no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—81no—
465C2×D4—81no—
466C2×D4#13714yes—
467C2×D4C2×#4114yes—
468C2×D4C2×#4112yes—
469C2×D4C2×#4112yes—
470C2×D4H(5,𝔽2)12yes—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—81no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4—832no—
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C2511yescharacteristic
522SD16—48no—
523SD16—88no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—24no—
530C2×C8—22no—
531C2×C8—24no—
532C2×C8—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—24no—
545C4⋊C4—21no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—42no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—81no—
558C4⋊C4—84no—
559C4⋊C4—82no—
560C4⋊C4—82no—
561C4⋊C4C2×#4112yes—
562C4⋊C4C2×#4112yes—
563C22⋊C4—28no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—84no—
579C22⋊C4—84no—
580C42—24no—
581C42—24no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—21no—
587C42—21no—
588C42—41no—
589C42—44no—
590C42—42no—
591C42—42no—
592C42—42no—
593C42—84no—
594C42AGL(1,ℤ/8)14yes—
595C42C2×#4112yes—
596C42C2×#4112yes—
597C42C2×#4112yes—
598C42H(5,𝔽2)12yes—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—24no—
609C23—416no—
610C23—416no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—88no—
622C23—88no—
623C23—88no—
624C23—88no—
625C23—88no—
626C23C2×#13714yes—
627C23C23×D411yescharacteristic
628Q8—42no—
629Q8—42no—
630Q8—42no—
631Q8—42no—
632Q8—164no—
633D4—28no—
634D4—22no—
635D4—24no—
636D4—22no—
637D4—22no—
638D4—24no—
639D4—416no—
640D4—416no—
641D4—48no—
642D4—42no—
643D4—42no—
644D4—84no—
645D4#55514yes—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—48no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—48no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—48no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—44no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—84no—
694C2×C4—88no—
695C2×C4—88no—
696C2×C4—88no—
697C2×C4—88no—
698C2×C4#52512yes—
699C2×C4#52512yes—
700C2×C4#54612yes—
701C2×C4#54612yes—
702C2×C4C2×AGL(1,ℤ/8)12yes—
703C2×C4C2×AGL(1,ℤ/8)12yes—
704C2×C4C2×AGL(1,ℤ/8)12yes—
705C2×C4C2×#13712yes—
706C2×C4#57712yes—
707C2×C4C22×#4111yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C22×#4111yescharacteristic
710C2×C4C2×H(5,𝔽2)11yescharacteristic
711C2×C4C2×H(5,𝔽2)11yescharacteristic
712C2×C4#58511yescharacteristic
713C8—42no—
714C8—42no—
715C8—44no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—24no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—832no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22C2×#52511yescharacteristic
739C22C2×#54611yescharacteristic
740C22#348811yescharacteristic
741C22C22×AGL(1,ℤ/8)11yescharacteristic
742C22C22×#13711yescharacteristic
743C22C2×#57711yescharacteristic
744C22#358511yescharacteristic
745C4—22no—
746C4—22no—
747C4—22no—
748C4—41no—
749C4—42no—
750C4—42no—
751C4—42no—
752C4—42no—
753C4—42no—
754C4—81no—
755C4—84no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4#311014yes—
760C4#332414yes—
761C4C2×#55511yescharacteristic
762C4#347511yescharacteristic
763C4#350611yescharacteristic
764C4#351911yescharacteristic
765C2—44no—
766C2—44no—
767C2—84no—
768C2#3616011yescharacteristic
769C2C2×#311011yescharacteristic
770C2#6059711yescharacteristic
771C2C2×#332411yescharacteristic
772C2#6116211yescharacteristic
773C2#6196111yescharacteristic
774C2#6198011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×D42C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36194C2semidirect
3. #33195C2semidirect
4. #32905C2semidirect
5. #29139C2semidirect
6. #28252C2semidirect
7. #27626C2semidirect
8. #27245C2semidirect
9. #26739C2semidirect
10. #24971C2semidirect
11. #24659C2semidirect
13. #23101C2semidirect
14. #22799C2semidirect
15. #22762C2semidirect
16. C4×#461C2semidirect
17. #20738C2semidirect
24. C2×#461C22semidirect
27. C2×#432C22semidirect
28. #2868C22semidirect
29. #2857C22semidirect
34. #2492C22semidirect
41. #2355C22semidirect
47. C4×C4⋊Q8C22semidirect
52. #2285C22semidirect
55. #2076C22semidirect
56. #2055C22semidirect
57. #2036C22semidirect
59. #2023C22semidirect
61. #1988C22semidirect
62. #1981C22semidirect
63. #1973C22semidirect
66. #1948C22semidirect
67. #1947C22semidirect
68. #1947C22semidirect
69. #1935C22semidirect
70. #1927C22semidirect
71. #1925C22semidirect
72. #1924C22semidirect
73. #1920C22semidirect
76. #1877C22semidirect
77. #1872C22semidirect
78. #1842C22semidirect
79. #1834C22semidirect
80. #1824C22semidirect
81. #1803C22semidirect
85. #1802C22semidirect
86. #1802C22semidirect
87. #1802C22semidirect
88. #1797C22semidirect
90. #1770C22semidirect
91. C4×C4⋊C8C22semidirect
93. #1762C22semidirect
94. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#361942
C4×D422
#331952
#329052
#291392
#282522
#276262
#272452
#267392
#249712
#246592
#242402
#231012
#227992
#227622
C4×#4612
#207382