Finite Group Databasebeta

← #6593600

Subgroups — #6593600

Order 512.

2223 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36188C211yesmaximal, characteristic, complemented
2C4×D42C211yesmaximal, characteristic
3#33195C211yesmaximal, characteristic, complemented
4#32953C212yesmaximal, complemented
5#28716C211yesmaximal, characteristic, complemented
6#28279C211yesmaximal, characteristic, complemented
7#27624C212yesmaximal, complemented
8#27518C214yesmaximal, complemented
9#27030C214yesmaximal, complemented
10#26296C212yesmaximal, complemented
11#25885C212yesmaximal
12#24700C212yesmaximal, complemented
13#23216C212yesmaximal, complemented
14#22962C212yesmaximal, complemented
15#22795C211yesmaximal, characteristic, complemented
16C4×#474C211yesmaximal, characteristic, complemented
17#20732C212yesmaximal, complemented
18C2×#556—21no—
19C2×D42C2211yescharacteristic
20C22×C4×D4—21no—
21C22×C4×D4C2212yes—
22C2×#486C2212yes—
23C2×#474C2212yes—
24C2×#474C2211yescharacteristic
25C2×#474C2212yescomplemented
26C2×#431C2212yescomplemented
27#2868C2211yescharacteristic, complemented
28#2857C2212yescomplemented
29#2568—21no—
30#2547—21no—
31#2547C2212yes—
32#2499—22no—
33#2496—22no—
34#2496C2214yescomplemented
35#2366C2211yescharacteristic
36#2365—21no—
37#2365C2212yescomplemented
38#2361—21no—
39#2361C2212yes—
40#2358—22no—
41D4×C4⋊C4C2211yescharacteristic
42D4×C4⋊C4C2211yescharacteristic
43D4×C22⋊C4—21no—
44D4×C22⋊C4C2212yes—
45C4×C4⋊Q8C2211yescharacteristic, complemented
46C4×#127C2211yescharacteristic
47C4×#121—21no—
48C4×#121C2212yes—
49C4×#120—22no—
50#2285C2212yescomplemented
51C42×D4C2211yescharacteristic
52C42×D4C2211yescharacteristic
53#2075C2214yescomplemented
54#2075C2214yescomplemented
55#2071C2214yescomplemented
56#2067C2214yescomplemented
57#2033C2214yes—
58#2033C2214yes—
59#1990C2212yescomplemented
60#1988C2211yescharacteristic, complemented
61#1988C2212yescomplemented
62#1982C2212yes—
63#1954C2212yes—
64#1947C2211yescharacteristic, complemented
65#1947C2212yescomplemented
66#1947C2212yescomplemented
67#1947C2212yescomplemented
68#1942C2214yescomplemented
69#1934C2214yescomplemented
70#1925C2214yescomplemented
71#1923C2214yescomplemented
72#1918C2212yescomplemented
73#1918C2214yescomplemented
74#1862C2212yes—
75#1862C2214yes—
76#1862C2214yescomplemented
77#1852C2214yescomplemented
78#1842C2211yescharacteristic, complemented
79#1823C2214yescomplemented
80#1802C2211yescharacteristic
81#1802C2212yes—
82#1802C2212yes—
83#1802C2212yescomplemented
84#1802C2212yescomplemented
85#1802C2212yescomplemented
86#1797C2212yescomplemented
87#1786C2214yes—
88#1786C2214yes—
89C4×#107C2212yescomplemented
90C8×C4⋊C4C2212yescomplemented
91C4×C4⋊C8C2211yescharacteristic, complemented
92C4×#102C2212yes—
93C4×#102C2214yes—
94C4×#102C2214yescomplemented
95C23×D4—21no—
96C23×D4C2312yes—
97C24×C4—22no—
98#556—48no—
99D42—24no—
100D42—24no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×C4⋊Q8C2312yes—
105C2×#127C2311yescharacteristic
106C2×#126—24no—
107C2×#124—22no—
108C2×C22⋊Q8—22no—
109C2×#121—21no—
110C2×#121C2312yes—
111C2×#120—22no—
112C2×C4×Q8—22no—
113C2×C4×Q8—21no—
114C2×C4×D4—21no—
115C2×C4×D4—22no—
116C2×C4×D4—21no—
117C2×C4×D4—22no—
118C2×C4×D4—28no—
119C2×C4×D4—21no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—21no—
123C2×C4×D4—44no—
124C2×C4×D4—48no—
125C2×C4×D4D411yescharacteristic
126C2×C4×D4D411yescharacteristic
127C2×C4×D4C2312yes—
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2312yes—
130C2×C4×D4C2312yes—
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×#117—22no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4C2312yes—
137C22×C22⋊C4—22no—
138C22×C22⋊C4—22no—
139C22×C42—21no—
140C22×C42C2312yes—
141#486—28no—
142#474—24no—
143#474—28no—
144#474—44no—
145#431—44no—
146C2×#107C2312yes—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#107C2312yes—
150C2×C4⋊C8C2311yescharacteristic
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2311yescharacteristic
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2312yes—
155C2×#102C2314yes—
156C2×#102C2312yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2312yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2314yes—
163C2×C22⋊C8C2314yes—
164C2×C4×C8C2312yes—
165C2×C4×C8C2314yes—
166#400—24no—
167#397—24no—
168#397—24no—
169#391—22no—
170#391—22no—
171#391—21no—
172#391—22no—
173#390—21no—
174#390—21no—
175#390—21no—
176#390C2312yes—
177#390C2312yes—
178#389—21no—
179#389—21no—
180#389—22no—
181#389C2312yes—
182#389C2314yes—
183#389C2312yes—
184#388—22no—
185#388—22no—
186#387—24no—
187#387—24no—
188#386—22no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#385—22no—
194#385—22no—
195#385—22no—
196#384—21no—
197#384—21no—
198#384C2311yescharacteristic
199#384C2311yescharacteristic
200#384C2312yes—
201#384C2312yes—
202#382—22no—
203#380—22no—
204#380—22no—
205#380—21no—
206#380C2312yes—
207#380C2314yes—
208#380C2314yes—
209#379—22no—
210C4×C4⋊C4—21no—
211C4×C4⋊C4—22no—
212C4×C4⋊C4D411yescharacteristic
213C4×C4⋊C4D411yescharacteristic
214C4×C4⋊C4C2312yes—
215C4×C4⋊C4C2311yescharacteristic
216C4×C4⋊C4C2311yescharacteristic
217C4×C4⋊C4C2314yes—
218C4×C4⋊C4C2311yescharacteristic
219C4×C4⋊C4C2311yescharacteristic
220C4×C22⋊C4—21no—
221C4×C22⋊C4—21no—
222C4×C22⋊C4—21no—
223C4×C22⋊C4—22no—
224C4×C22⋊C4D412yes—
225C4×C22⋊C4D412yes—
226C4×C22⋊C4C2312yes—
227C43C2311yescharacteristic
228#340C2314yes—
229#340C2312yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2312yes—
235#340C2312yes—
236#340C2312yes—
237#336C2314yes—
238#336C2312yes—
239C25—22no—
240C22×Q8—21no—
241C22×Q8—22no—
242C22×D4—28no—
243C22×D4—22no—
244C22×D4—24no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—22no—
249C22×D4—21no—
250C22×D4—21no—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4—44no—
254C22×D4—44no—
255C22×D4C2×D411yescharacteristic
256C22×D4C2412yes—
257C22×D4C2411yescharacteristic
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—21no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—48no—
266C23×C4—48no—
267C23×C4—84no—
268C23×C4C2×D412yes—
269C23×C4C2×D412yes—
270C23×C4C2412yes—
271C22×C8C2412yes—
272C22×C8C2412yes—
273C22×C8C2414yes—
274C4⋊Q8—24no—
275C4⋊Q8—22no—
276C4⋊Q8—24no—
277C4⋊Q8—22no—
278C4⋊Q8—44no—
279C4⋊Q8—44no—
280#127—22no—
281#127#4114yes—
282#126—416no—
283#124—48no—
284C22⋊Q8—48no—
285#121—28no—
286#121—24no—
287#121—24no—
288#120—216no—
289C4×Q8—48no—
290C4×Q8—44no—
291C4×D4—24no—
292C4×D4—22no—
293C4×D4—24no—
294C4×D4—22no—
295C4×D4—22no—
296C4×D4—22no—
297C4×D4—24no—
298C4×D4—22no—
299C4×D4—24no—
300C4×D4—48no—
301C4×D4—42no—
302C4×D4—42no—
303C4×D4—42no—
304C4×D4—41no—
305C4×D4—48no—
306C4×D4—44no—
307C4×D4—48no—
308C4×D4—44no—
309C4×D4—48no—
310C4×D4—44no—
311C4×D4—82no—
312C4×D4D818yes—
313C4×D4#4114yes—
314C4×D4#4114yes—
315#117—48no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4C2×D411yescharacteristic
334C2×C4⋊C4C2×D411yescharacteristic
335C2×C4⋊C4C2×D411yescharacteristic
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2411yescharacteristic
338C2×C4⋊C4C2414yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2411yescharacteristic
342C2×C4⋊C4C2411yescharacteristic
343C2×C22⋊C4—21no—
344C2×C22⋊C4—21no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—48no—
358C2×C22⋊C4—48no—
359C2×C22⋊C4C2×D412yes—
360C2×C22⋊C4C2×D412yes—
361C2×C22⋊C4C2×D412yes—
362C2×C42—24no—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—21no—
368C2×C42—22no—
369C2×C42—44no—
370C2×C42C2×D411yescharacteristic
371C2×C42C2×D412yes—
372C2×C42C2×D412yes—
373C2×C42C2×D411yescharacteristic
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2412yes—
377C2×C42C2411yescharacteristic
378C2×C42C2411yescharacteristic
379C2×C42C2411yescharacteristic
380#107—28no—
381#107—24no—
382#107—42no—
383#107—44no—
384C4⋊C8—24no—
385C4⋊C8—22no—
386C4⋊C8—22no—
387C4⋊C8—24no—
388C4⋊C8—42no—
389#102—28no—
390#102—24no—
391#102—28no—
392#102—28no—
393#102—24no—
394#102—44no—
395#102—44no—
396C22⋊C8—44no—
397C22⋊C8—44no—
398C4×C8—24no—
399C4×C8—44no—
400#95—21no—
401#95—21no—
402#95—21no—
403#95—22no—
404#95—22no—
405#95—24no—
406#95—22no—
407#95—24no—
408#95—22no—
409#95—24no—
410#95—24no—
411#95C2×D412yes—
412#95C2×D412yes—
413#95C2×D412yes—
414C24—21no—
415C24—28no—
416C24—22no—
417C24—44no—
418C24—44no—
419C24—44no—
420C24—44no—
421C24—82no—
422C24—82no—
423C24C22×D412yes—
424C2×Q8—44no—
425C2×Q8—42no—
426C2×Q8—42no—
427C2×Q8—44no—
428C2×Q8—44no—
429C2×Q8—42no—
430C2×D4—28no—
431C2×D4—28no—
432C2×D4—22no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—22no—
436C2×D4—21no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—21no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—21no—
443C2×D4—22no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—432no—
449C2×D4—48no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—48no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—81no—
456C2×D4—81no—
457C2×D4C2×D814yes—
458C2×D4C2×#4114yes—
459C2×D4C2×#4112yes—
460C2×D4C2×#4112yes—
461C2×D42−1+412yes—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—44no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—81no—
498C22×C4—82no—
499C22×C4—82no—
500C22×C4—832no—
501C22×C4—82no—
502C22×C4C2×D818yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D412yes—
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C2511yescharacteristic
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—24no—
517C2×C8—22no—
518C2×C8—24no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—24no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—24no—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—22no—
535C4⋊C4—21no—
536C4⋊C4—44no—
537C4⋊C4—42no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—42no—
542C4⋊C4—44no—
543C4⋊C4—42no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—81no—
550C4⋊C4C2×D814yes—
551C4⋊C4C2×#4112yes—
552C4⋊C4C2×#4112yes—
553C22⋊C4—28no—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—42no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C22⋊C4—42no—
561C22⋊C4—44no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—82no—
568C22⋊C4—82no—
569C22⋊C4C2×D818yes—
570C42—24no—
571C42—24no—
572C42—22no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42—41no—
579C42—42no—
580C42—42no—
581C42—42no—
582C42—48no—
583C42—44no—
584C42C2×D814yes—
585C42C2×#4112yes—
586C42C2×#4112yes—
587C42C2×#4112yes—
588C42H(5,𝔽2)12yes—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—24no—
599C23—416no—
600C23—416no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—88no—
612C23—88no—
613C23—88no—
614C23—88no—
615C23—88no—
616C23C22×D814yes—
617C23C23×D411yescharacteristic
618Q8—88no—
619Q8—84no—
620D4—28no—
621D4—22no—
622D4—24no—
623D4—22no—
624D4—22no—
625D4—24no—
626D4—416no—
627D4—416no—
628D4—48no—
629D4—42no—
630D4—42no—
631D4—84no—
632D4#55614yescomplemented
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—216no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—21no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—48no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—48no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—44no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—84no—
679C2×C4—88no—
680C2×C4—84no—
681C2×C4—88no—
682C2×C4—88no—
683C2×C4—88no—
684C2×C4#52512yes—
685C2×C4#52512yes—
686C2×C4#54612yes—
687C2×C4#54612yes—
688C2×C4C22×D814yes—
689C2×C4C22×D812yes—
690C2×C4C22×D812yes—
691C2×C4C22×D812yes—
692C2×C4#57512yes—
693C2×C4#57712yes—
694C2×C4C22×#4111yescharacteristic
695C2×C4C22×#4111yescharacteristic
696C2×C4C22×#4111yescharacteristic
697C2×C4C2×H(5,𝔽2)11yescharacteristic
698C2×C4C2×2−1+411yescharacteristic
699C2×C4#58511yescharacteristic
700C8—42no—
701C8—44no—
702C8—42no—
703C22—24no—
704C22—24no—
705C22—24no—
706C22—24no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—832no—
721C22—82no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22C2×#52511yescharacteristic
726C22C2×#54611yescharacteristic
727C22#348911yescharacteristic
728C22C23×D811yescharacteristic
729C22C2×#57511yescharacteristic
730C22C2×#57711yescharacteristic
731C22#358611yescharacteristic
732C4—22no—
733C4—22no—
734C4—24no—
735C4—22no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—41no—
740C4—42no—
741C4—84no—
742C4—82no—
743C4—81no—
744C4—82no—
745C4—82no—
746C4#310014yes—
747C4#329414yes—
748C4C2×#55611yescharacteristic
749C4#347511yescharacteristic
750C4#350611yescharacteristic
751C4#352011yescharacteristic
752C2—44no—
753C2—44no—
754C2—84no—
755C2#3616111yescharacteristic
756C2C2×#310011yescharacteristic
757C2#6059111yescharacteristic
758C2C2×#329411yescharacteristic
759C2#6116511yescharacteristic
760C2#6209511yescharacteristic
761C2#6214411yescharacteristic
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. #36188C2semidirect
3. #33195C2semidirect
4. #32953C2semidirect
5. #28716C2semidirect
6. #28279C2semidirect
7. #27624C2semidirect
8. #27518C2semidirect
9. #27030C2semidirect
10. #26296C2semidirect
12. #24700C2semidirect
13. #23216C2semidirect
14. #22962C2semidirect
15. #22795C2semidirect
16. C4×#474C2semidirect
17. #20732C2semidirect
25. C2×#474C22semidirect
26. C2×#431C22semidirect
27. #2868C22semidirect
28. #2857C22semidirect
34. #2496C22semidirect
37. #2365C22semidirect
45. C4×C4⋊Q8C22semidirect
50. #2285C22semidirect
53. #2075C22semidirect
54. #2075C22semidirect
55. #2071C22semidirect
56. #2067C22semidirect
59. #1990C22semidirect
60. #1988C22semidirect
61. #1988C22semidirect
64. #1947C22semidirect
65. #1947C22semidirect
66. #1947C22semidirect
67. #1947C22semidirect
68. #1942C22semidirect
69. #1934C22semidirect
70. #1925C22semidirect
71. #1923C22semidirect
72. #1918C22semidirect
73. #1918C22semidirect
76. #1862C22semidirect
77. #1852C22semidirect
78. #1842C22semidirect
79. #1823C22semidirect
83. #1802C22semidirect
84. #1802C22semidirect
85. #1802C22semidirect
86. #1797C22semidirect
89. C4×#107C22semidirect
90. C8×C4⋊C4C22semidirect
91. C4×C4⋊C8C22semidirect
94. C4×#102C22semidirect
632. D4#556semidirect

Maximal subgroups

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

subgroupindex
#361882
C4×D422
#331952
#329532
#287162
#282792
#276242
#275182
#270302
#262962
#258852
#247002
#232162
#229622
#227952
C4×#4742
#207322