Finite Group Databasebeta

← #6792683

Subgroups — #6792683

Order 512.

2063 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36100C211yesmaximal, characteristic
2C2×#2547C211yesmaximal, characteristic, complemented
3#33109C211yesmaximal, characteristic, complemented
4#31333C214yesmaximal, complemented
5#31269C214yesmaximal, complemented
6#29894C212yesmaximal, complemented
7#28600C212yesmaximal, complemented
8#26301C212yesmaximal, complemented
9#25902C211yesmaximal, characteristic, complemented
10#25882C212yesmaximal, complemented
11#25338C212yesmaximal, complemented
12#24552C212yesmaximal, complemented
13#24298C211yesmaximal, characteristic, complemented
14#24007C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21763C212yesmaximal, complemented
17C4×#481C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#124—21no—
21C2×#525C2212yes—
22C22×C4×D4C2211yescharacteristic
23C2×#487C2212yescomplemented
24C2×#484C2212yes—
25C2×#481C2211yescharacteristic
26C2×#474C2212yescomplemented
27C2×C8×D4C2212yes—
28C22×C22⋊C8C2212yes—
29#2857C2211yescharacteristic
30#2848C2212yes—
31#2547—21no—
32#2547—21no—
33#2547—22no—
34#2547C2212yes—
35#2547C2214yes—
36#2547C2212yes—
37#2542C2211yescharacteristic
38#2537C2211yescharacteristic
39#2455—22no—
40#2422—21no—
41#2418—22no—
42#2415C2212yes—
43#2408—21no—
44#2407C2212yes—
45C2×#397—22no—
46#2361—21no—
47#2354C2211yescharacteristic
48D4×C4⋊C4—21no—
49C4×#121C2211yescharacteristic
50C2×#391—21no—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2077C2214yescomplemented
55#2076C2214yescomplemented
56#2075C2214yescomplemented
57#2057C2212yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2035C2214yescomplemented
61#2035C2214yescomplemented
62#2033C2214yescomplemented
63#2024C2214yescomplemented
64#2023C2212yescomplemented
65#1990C2212yescomplemented
66#1988C2212yescomplemented
67#1981C2212yescomplemented
68#1954C2212yes—
69#1947C2212yescomplemented
70#1928C2214yescomplemented
71#1926C2212yescomplemented
72#1919C2212yescomplemented
73#1893C2214yescomplemented
74#1892C2214yescomplemented
75#1892C2214yescomplemented
76#1874C2211yescharacteristic
77#1874C2212yes—
78#1872C2212yes—
79#1872C2212yes—
80#1872C2212yes—
81#1869C2214yes—
82#1854C2214yescomplemented
83#1853C2211yescharacteristic
84#1852C2212yes—
85#1825C2214yescomplemented
86#1824C2211yescharacteristic
87#1808C2214yescomplemented
88#1797C2211yescharacteristic
89#1788C2214yescomplemented
90#1788C2214yescomplemented
91#1779C2212yes—
92C4×#106C2212yescomplemented
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C22×#41C2312yes—
96C23×Q8—21no—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C23×C8C2314yes—
100#547—44no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—44no—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2312yes—
106C2×C4⋊Q8C2312yes—
107C2×#124—22no—
108C2×#124—24no—
109C2×#124—22no—
110C2×#124—48no—
111#525—28no—
112#525—44no—
113C2×#123—22no—
114C2×#123—22no—
115C2×C22⋊Q8C2312yes—
116C2×C22⋊Q8C2312yes—
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×#121—21no—
120C2×#121—21no—
121C2×#121C2312yes—
122C2×#121C2311yescharacteristic
123C2×#120—22no—
124C2×C4×D4—21no—
125C2×C4×D4—22no—
126C2×C4×D4—22no—
127C2×C4×D4—44no—
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D411yescharacteristic
130C2×C4×D4D412yes—
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C2×#117C2312yes—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2311yescharacteristic
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4D412yes—
145C22×C42—21no—
146C22×C42C2311yescharacteristic
147#487—44no—
148#484—44no—
149#481—24no—
150#474—44no—
151C8×D4—44no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#106C2312yes—
155C2×#106C2312yes—
156C2×C4⋊C8C2312yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2312yes—
162C2×#102C2312yes—
163C2×#102C2314yes—
164C2×C22⋊C8—44no—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2311yescharacteristic
167C2×C22⋊C8C2311yescharacteristic
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C4×C8C2312yes—
172#399—22no—
173#397—24no—
174#397—24no—
175#397—24no—
176#397—24no—
177#397—22no—
178#394—22no—
179#394—22no—
180#394—22no—
181#392—22no—
182#391—22no—
183#391—22no—
184#391—24no—
185#391C2312yes—
186#390—21no—
187#390—21no—
188#390C2311yescharacteristic
189#389—22no—
190#389—21no—
191#389—21no—
192#389C2311yescharacteristic
193#388—22no—
194#388—22no—
195#388—21no—
196#386—21no—
197#386—22no—
198#385—22no—
199#385—22no—
200#385—22no—
201#385—22no—
202#384—21no—
203#384C2311yescharacteristic
204#380—21no—
205#380—21no—
206#380—22no—
207#380—22no—
208#380—22no—
209#380—22no—
210#380—21no—
211#380C2312yes—
212#380C2314yes—
213#380C2314yes—
214#380C2312yes—
215#380C2314yes—
216#380C2314yes—
217#380C2311yescharacteristic
218#379—22no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4C2311yescharacteristic
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C22⋊C4—21no—
226C2×#95—21no—
227C2×#95—22no—
228C2×#95—22no—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2312yes—
233#340C2314yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2312yes—
238#336C2312yes—
239#336C2312yes—
240C25C2×D412yes—
241C2×#41—24no—
242C2×#41—42no—
243C2×#41—44no—
244C2×#41—44no—
245C22×Q8—22no—
246C22×Q8—22no—
247C22×Q8—44no—
248C22×Q8—44no—
249C22×Q8—44no—
250C22×Q8C2412yes—
251C22×D4—21no—
252C22×D4—24no—
253C22×D4—22no—
254C22×D4—22no—
255C22×D4—24no—
256C22×D4—42no—
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D412yes—
259C22×D4C2×D411yescharacteristic
260C22×D4C2411yescharacteristic
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—22no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—22no—
268C23×C4—44no—
269C23×C4—44no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D412yes—
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2411yescharacteristic
278C22×C8—44no—
279C22×C8—44no—
280C22×C8—44no—
281C22×C8C2412yes—
282C22×C8C2414yes—
283C22×C8C2412yes—
284C4⋊Q8—24no—
285C4⋊Q8—24no—
286C4⋊Q8—24no—
287C4⋊Q8—44no—
288C4⋊Q8—44no—
289C4⋊Q8—44no—
290#124—416no—
291#124—48no—
292#124—48no—
293#123—48no—
294#123—48no—
295C22⋊Q8—24no—
296C22⋊Q8—24no—
297C22⋊Q8—24no—
298C22⋊Q8—42no—
299C22⋊Q8—44no—
300C22⋊Q8—44no—
301#121—22no—
302#121—24no—
303#121—42no—
304#121—44no—
305#121—44no—
306#121#4114yes—
307#120—48no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—44no—
312C4×D4—42no—
313C4×D4—42no—
314C4×D4—44no—
315C4×D4—48no—
316C4×D4—48no—
317C4×D4—44no—
318#117—24no—
319#117—42no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2×D412yes—
344C2×C4⋊C4C2414yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2411yescharacteristic
351C2×C22⋊C4—21no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—48no—
370C2×C22⋊C4—48no—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C42—24no—
376C2×C42—22no—
377C2×C42—21no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—44no—
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D411yescharacteristic
383C2×C42C2411yescharacteristic
384C2×C42C2411yescharacteristic
385#107—44no—
386#107—44no—
387#106—24no—
388#106—42no—
389C4⋊C8—24no—
390#103—44no—
391#103—44no—
392#103—44no—
393#103—44no—
394#102—24no—
395#102—42no—
396#102—44no—
397C22⋊C8—22no—
398C22⋊C8—22no—
399C22⋊C8—24no—
400C22⋊C8—44no—
401C22⋊C8—44no—
402C22⋊C8—44no—
403C4×C8—24no—
404#95—22no—
405#95—22no—
406#95—24no—
407#95—24no—
408#95—24no—
409#95—24no—
410#95—21no—
411#95—21no—
412#95—22no—
413#95—21no—
414#95—22no—
415#95—22no—
416#95—22no—
417C24—24no—
418C24—21no—
419C24—24no—
420C24—24no—
421C24—24no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24C22×D412yes—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428#41—88no—
429#41—88no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8—24no—
433C2×Q8—24no—
434C2×Q8—44no—
435C2×Q8—44no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—816no—
441C2×D4—24no—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—21no—
451C2×D4—22no—
452C2×D4—416no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—42no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—82no—
461C2×D4—82no—
462C2×D4AGL(1,ℤ/8)14yes—
463C2×D4C2×#4112yes—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—41no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—88no—
511C22×C4—88no—
512C22×C4—82no—
513C22×C4#13514yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D412yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C2×#4112yes—
522C22×C4H(5,𝔽2)12yes—
523C22×C4C2511yescharacteristic
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—24no—
529C2×C8—24no—
530C2×C8—22no—
531C2×C8—24no—
532C2×C8—22no—
533C2×C8—88no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—81no—
561C4⋊C4—82no—
562C4⋊C4C2×#4112yes—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—42no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—42no—
580C22⋊C4—42no—
581C22⋊C4—81no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—44no—
588C42—44no—
589C42—42no—
590C42—44no—
591C42H(5,𝔽2)14yes—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—48no—
611C23—48no—
612C23—48no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—48no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23#54612yes—
624C23C2×#13512yes—
625C23C2×AGL(1,ℤ/8)14yes—
626C23#57812yes—
627C23C23×D411yescharacteristic
628Q8—44no—
629Q8—44no—
630Q8—88no—
631Q8—88no—
632D4—28no—
633D4—24no—
634D4—48no—
635D4—48no—
636D4—44no—
637D4—42no—
638D4—88no—
639D4—88no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—28no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—44no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—84no—
688C2×C4—84no—
689C2×C4—84no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—88no—
694C2×C4—84no—
695C2×C4#53412yes—
696C2×C4#53412yes—
697C2×C4#54612yes—
698C2×C4C2×#13512yes—
699C2×C4C2×#13512yes—
700C2×C4C2×AGL(1,ℤ/8)12yes—
701C2×C4C22×#4111yescharacteristic
702C2×C4C2×H(5,𝔽2)12yes—
703C2×C4C2×H(5,𝔽2)11yescharacteristic
704C2×C4#58512yes—
705C8—42no—
706C8—44no—
707C8—42no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—816no—
732C22—81no—
733C22—81no—
734C22—81no—
735C22—81no—
736C22#330214yes—
737C22C2×#53411yescharacteristic
738C22C2×#54611yescharacteristic
739C22#348511yescharacteristic
740C22C22×#13511yescharacteristic
741C22C22×AGL(1,ℤ/8)11yescharacteristic
742C22C2×#57811yescharacteristic
743C22#358611yescharacteristic
744C4—22no—
745C4—22no—
746C4—22no—
747C4—41no—
748C4—42no—
749C4—42no—
750C4—42no—
751C4—81no—
752C4—82no—
753C4—81no—
754C4—84no—
755C4—82no—
756C4—82no—
757C4—82no—
758C4#318814yes—
759C4#351412yes—
760C4#355812yes—
761C2—24no—
762C2—44no—
763C2—82no—
764C2—82no—
765C2#3890611yescharacteristic
766C2C2×#318811yescharacteristic
767C2#6075911yescharacteristic
768C2C2×#330211yescharacteristic
769C2#6116111yescharacteristic
770C2#6170111yescharacteristic
771C2#6173711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36100C2
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
2. C2×#2547C2semidirect
3. #33109C2semidirect
4. #31333C2semidirect
5. #31269C2semidirect
6. #29894C2semidirect
7. #28600C2semidirect
8. #26301C2semidirect
9. #25902C2semidirect
10. #25882C2semidirect
11. #25338C2semidirect
12. #24552C2semidirect
13. #24298C2semidirect
14. #24007C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21763C2semidirect
17. C4×#481C2semidirect
23. C2×#487C22semidirect
26. C2×#474C22semidirect
54. #2077C22semidirect
55. #2076C22semidirect
56. #2075C22semidirect
57. #2057C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2035C22semidirect
61. #2035C22semidirect
62. #2033C22semidirect
63. #2024C22semidirect
64. #2023C22semidirect
65. #1990C22semidirect
66. #1988C22semidirect
67. #1981C22semidirect
69. #1947C22semidirect
70. #1928C22semidirect
71. #1926C22semidirect
72. #1919C22semidirect
73. #1893C22semidirect
74. #1892C22semidirect
75. #1892C22semidirect
82. #1854C22semidirect
85. #1825C22semidirect
87. #1808C22semidirect
89. #1788C22semidirect
90. #1788C22semidirect
92. C4×#106C22semidirect
93. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#361002
C2×#25472
#331092
#313332
#312692
#298942
#286002
#263012
#259022
#258822
#253382
#245522
#242982
#240072
D4×C22⋊C82
#217632
C4×#4812