Finite Group Databasebeta

← #6848402

Subgroups — #6848402

Order 512.

2222 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36160C211yesmaximal, characteristic, complemented
2C2×#2537C211yesmaximal, characteristic, complemented
3#32956C211yesmaximal, characteristic, complemented
4#32019C214yesmaximal, complemented
5#31413C214yesmaximal, complemented
6#29592C212yesmaximal, complemented
7#28149C212yesmaximal, complemented
8#27960C211yesmaximal, characteristic, complemented
9#27644C211yesmaximal, characteristic, complemented
10#27602C212yesmaximal, complemented
11#25346C212yesmaximal, complemented
12#24968C212yesmaximal, complemented
13#24558C212yesmaximal, complemented
14#24117C212yesmaximal, complemented
15#22401C211yesmaximal, characteristic, complemented
16#21767C212yesmaximal, complemented
17C4×#447C211yesmaximal, characteristic, complemented
18C2×#555C2211yescharacteristic, complemented
19C22×#121—21no—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#480C2212yes—
24C2×#476C2212yescomplemented
25C2×#447C2211yescharacteristic
26C2×C4×D8C2212yescomplemented
27C2×#436C2212yescomplemented
28C2×#407C2212yes—
29#2857C2211yescharacteristic
30#2847C2212yes—
31#2563C2211yescharacteristic, complemented
32#2537—21no—
33#2537—21no—
34#2537—22no—
35#2537C2212yes—
36#2537C2214yes—
37#2537C2212yes—
38#2537C2211yescharacteristic, complemented
39#2485C2212yescomplemented
40#2472—22no—
41#2459—22no—
42#2420—21no—
43#2414C2212yescomplemented
44#2408—21no—
45C2×#394—22no—
46#2363—21no—
47#2354C2211yescharacteristic, complemented
48#2352—21no—
49C4×#121C2211yescharacteristic
50C2×#384C2211yescharacteristic
51#2280C2212yes—
52C2×#380—21no—
53C2×#380C2212yes—
54#2099C2214yescomplemented
55#2083C2212yescomplemented
56#2077C2214yescomplemented
57#2076C2214yescomplemented
58#2076C2214yescomplemented
59#2071C2212yescomplemented
60#2034C2214yescomplemented
61#2033C2214yescomplemented
62#2033C2214yescomplemented
63#1999C2214yescomplemented
64#1999C2214yescomplemented
65#1990C2212yescomplemented
66#1954C2212yescomplemented
67#1947C2212yescomplemented
68#1895C2214yescomplemented
69#1895C2214yescomplemented
70#1895C2214yescomplemented
71#1879C2212yescomplemented
72#1875C2214yescomplemented
73#1875C2214yescomplemented
74#1874C2211yescharacteristic
75#1870C2214yescomplemented
76#1864C2214yescomplemented
77#1862C2212yescomplemented
78#1854C2214yescomplemented
79#1853C2212yes—
80#1852C2211yescharacteristic
81#1834C2212yescomplemented
82#1825C2214yescomplemented
83#1823C2212yes—
84#1823C2212yes—
85#1823C2212yes—
86#1809C2214yescomplemented
87#1802C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1786C2211yescharacteristic
91#1786C2212yes—
92#1779C2212yes—
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×D4—22no—
96C23×D4D411yescharacteristic
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C24×C4C2312yes—
100C22×D8C2312yes—
101C22×M16C2314yes—
102#555—44no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#124—22no—
105C2×C22⋊Q8—21no—
106C2×#121—21no—
107C2×#121—21no—
108C2×#121—22no—
109C2×#121—22no—
110C2×#121—24no—
111C2×#121—22no—
112C2×#121—22no—
113C2×#121—28no—
114C2×#121—44no—
115C2×#121—48no—
116C2×#121C2311yescharacteristic
117C2×#121C2314yes—
118C2×#121C2314yes—
119C2×#121C2312yes—
120C2×#121C2312yes—
121C2×#120—22no—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—21no—
125C2×C4×D4—44no—
126C2×C4×D4—44no—
127C2×C4×D4D411yescharacteristic
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D412yes—
130C2×C4×D4C2311yescharacteristic
131C2×C4×D4C2312yes—
132C2×C4×D4C2312yes—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2312yes—
136C2×#117—21no—
137C2×#117C2312yes—
138C2×#117C2312yes—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4D411yescharacteristic
142C22×C4⋊C4C2312yes—
143C22×C4⋊C4C2311yescharacteristic
144C22×C22⋊C4—22no—
145C22×C22⋊C4—21no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4D412yes—
148C22×C42C2311yescharacteristic
149#480—44no—
150#476—44no—
151#447—24no—
152C4×D8—44no—
153#436—44no—
154C2×#107C2314yes—
155C2×#107C2312yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2312yes—
158C2×#102C2312yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2312yes—
162C2×#102C2314yes—
163C2×#102C2312yes—
164C2×#102C2312yes—
165#407—44no—
166C2×C22⋊C8C2312yes—
167C2×C22⋊C8C2311yescharacteristic
168C2×C22⋊C8C2311yescharacteristic
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×C4×C8C2312yes—
173#397—22no—
174#394—22no—
175#394—24no—
176#394—24no—
177#394—24no—
178#394—24no—
179#394—22no—
180#394—22no—
181#393—22no—
182#392—22no—
183#391—21no—
184#390—21no—
185#390—21no—
186#390—22no—
187#390C2311yescharacteristic
188#389—21no—
189#389C2311yescharacteristic
190#389C2312yes—
191#388—22no—
192#388—22no—
193#388—22no—
194#388—21no—
195#387—22no—
196#386—22no—
197#386—22no—
198#386—22no—
199#386—21no—
200#384—21no—
201#384—21no—
202#384C2311yescharacteristic
203#384C2312yes—
204#384C2312yes—
205#382—21no—
206#381—22no—
207#380—21no—
208#380—22no—
209#380—22no—
210#380—21no—
211#380—22no—
212#380—22no—
213#380—24no—
214#380C2312yes—
215#380C2312yes—
216#380C2314yes—
217#380C2312yes—
218#380C2312yes—
219#380C2314yes—
220#380C2312yes—
221#380C2311yescharacteristic
222#379—22no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4C2311yescharacteristic
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—21no—
228C2×#95—22no—
229#340C2314yes—
230#340C2314yes—
231#340C2312yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2312yes—
237#340C2314yes—
238#336C2312yes—
239#336C2312yes—
240C25—21no—
241C25C2×D412yes—
242C22×Q8—21no—
243C22×D4—21no—
244C22×D4—24no—
245C22×D4—24no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—24no—
249C22×D4—21no—
250C22×D4—22no—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4—42no—
254C22×D4—42no—
255C22×D4—48no—
256C22×D4—48no—
257C22×D4—84no—
258C22×D4C2×D411yescharacteristic
259C22×D4C2×D411yescharacteristic
260C22×D4C2×D412yes—
261C22×D4#4114yes—
262C22×D4C2411yescharacteristic
263C22×D4C2412yes—
264C23×C4—24no—
265C23×C4—24no—
266C23×C4—21no—
267C23×C4—22no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4—44no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D412yes—
280C23×C4C2×D412yes—
281C23×C4C2412yes—
282C23×C4C2412yes—
283C23×C4C2411yescharacteristic
284C2×D8—24no—
285C2×D8—42no—
286C2×D8—42no—
287C2×M16—44no—
288C2×M16—44no—
289C2×M16—44no—
290C22×C8C2412yes—
291C22×C8C2414yes—
292C22×C8C2412yes—
293C4⋊Q8—24no—
294#124—48no—
295C22⋊Q8—82no—
296#121—28no—
297#121—28no—
298#121—22no—
299#121—22no—
300#121—44no—
301#121—44no—
302#121—44no—
303#121—48no—
304#121—48no—
305#121—44no—
306#121—416no—
307#121—48no—
308#121—48no—
309#121—44no—
310#121—44no—
311#120—84no—
312C4×D4—24no—
313C4×D4—24no—
314C4×D4—24no—
315C4×D4—24no—
316C4×D4—24no—
317C4×D4—44no—
318C4×D4—42no—
319C4×D4—42no—
320C4×D4—42no—
321C4×D4—42no—
322C4×D4—44no—
323C4×D4—44no—
324C4×D4—44no—
325C4×D4—44no—
326#117—44no—
327#117—44no—
328#117—44no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—82no—
346C2×C4⋊C4C2×D411yescharacteristic
347C2×C4⋊C4C2×D411yescharacteristic
348C2×C4⋊C4C2×D412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2414yes—
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2411yescharacteristic
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—44no—
377C2×C22⋊C4—48no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4—48no—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C22⋊C4C2×D412yes—
383C2×C22⋊C4C2×D412yes—
384C2×C42—24no—
385C2×C42—22no—
386C2×C42—21no—
387C2×C42—22no—
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2411yescharacteristic
391C2×C42C2411yescharacteristic
392#107—42no—
393#107—44no—
394#106—44no—
395C4⋊C8—24no—
396#102—24no—
397#102—42no—
398#102—44no—
399#102—42no—
400#102—42no—
401#102—44no—
402#102—44no—
403C22⋊C8—22no—
404C22⋊C8—22no—
405C22⋊C8—24no—
406C22⋊C8—44no—
407C22⋊C8—44no—
408C22⋊C8—44no—
409C4×C8—24no—
410#95—24no—
411#95—24no—
412#95—21no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—21no—
417#95—22no—
418#95—21no—
419#95—22no—
420#95—22no—
421C24—24no—
422C24—24no—
423C24—22no—
424C24—24no—
425C24—24no—
426C24—21no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24—42no—
436C24—42no—
437C24C22×D412yes—
438C24C22×D412yes—
439C24C22×D411yescharacteristic
440C2×Q8—42no—
441C2×Q8—81no—
442C2×Q8—81no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—24no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—21no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—21no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—48no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4—416no—
466C2×D4—48no—
467C2×D4—48no—
468C2×D4—48no—
469C2×D4—48no—
470C2×D4—48no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—44no—
475C2×D4—44no—
476C2×D4—84no—
477C2×D4—84no—
478C2×D4—82no—
479C2×D4—82no—
480C2×D4—82no—
481C2×D4—82no—
482C2×D4—832no—
483C2×D4C2×#4114yes—
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—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—24no—
508C22×C4—41no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—42no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—42no—
524C22×C4—44no—
525C22×C4—42no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—44no—
530C22×C4—88no—
531C22×C4—88no—
532C22×C4—816no—
533C22×C4AGL(1,ℤ/8)14yes—
534C22×C4C22×D412yes—
535C22×C4C22×D412yes—
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C2×#4112yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4C2511yescharacteristic
544D8—48no—
545M16—88no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—22no—
553C2×C8—24no—
554C2×C8—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—24no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4—81no—
578C4⋊C4—82no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—48no—
588C22⋊C4—48no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—42no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C22⋊C4—81no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—44no—
607C42—42no—
608C42—82no—
609C42H(5,𝔽2)14yes—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—24no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—48no—
630C23—48no—
631C23—48no—
632C23—48no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—48no—
639C23—48no—
640C23—42no—
641C23—41no—
642C23—41no—
643C23—41no—
644C23—41no—
645C23—41no—
646C23—41no—
647C23—41no—
648C23—84no—
649C23—84no—
650C23—84no—
651C23—84no—
652C23—84no—
653C23—84no—
654C23—84no—
655C23—84no—
656C23#54612yes—
657C23C2×AGL(1,ℤ/8)12yes—
658C23#57612yes—
659C23C23×D411yescharacteristic
660Q8—162no—
661D4—24no—
662D4—24no—
663D4—48no—
664D4—48no—
665D4—44no—
666D4—44no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—816no—
672D4—816no—
673D4—84no—
674D4—164no—
675D4—164no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—21no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—42no—
711C2×C4—44no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—41no—
719C2×C4—44no—
720C2×C4—84no—
721C2×C4—84no—
722C2×C4—88no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4—88no—
726C2×C4—84no—
727C2×C4—88no—
728C2×C4#53412yes—
729C2×C4#53412yes—
730C2×C4#54612yes—
731C2×C4C2×AGL(1,ℤ/8)12yes—
732C2×C4C2×AGL(1,ℤ/8)12yes—
733C2×C4#57512yes—
734C2×C4C22×#4111yescharacteristic
735C2×C4C2×H(5,𝔽2)12yes—
736C2×C4C2×H(5,𝔽2)11yescharacteristic
737C2×C4#58512yes—
738C8—42no—
739C8—44no—
740C8—42no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—44no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22—42no—
759C22—42no—
760C22—44no—
761C22—42no—
762C22—42no—
763C22—44no—
764C22—816no—
765C22—816no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—81no—
771C22—81no—
772C22—81no—
773C22—81no—
774C22—81no—
775C22—81no—
776C22—81no—
777C22#332514yes—
778C22C2×#53411yescharacteristic
779C22C2×#54611yescharacteristic
780C22#348511yescharacteristic
781C22C22×AGL(1,ℤ/8)11yescharacteristic
782C22C2×#57511yescharacteristic
783C22C2×#57611yescharacteristic
784C22#358611yescharacteristic
785C4—22no—
786C4—22no—
787C4—22no—
788C4—42no—
789C4—42no—
790C4—41no—
791C4—81no—
792C4—82no—
793C4—81no—
794C4—82no—
795C4—82no—
796C4—84no—
797C4—81no—
798C4#319414yes—
799C4#350512yes—
800C4#354212yes—
801C2—24no—
802C2—82no—
803C2—82no—
804C2—84no—
805C2—161no—
806C2#3946611yescharacteristic
807C2C2×#319411yescharacteristic
808C2#6076211yescharacteristic
809C2C2×#332511yescharacteristic
810C2#6115911yescharacteristic
811C2#6171711yescharacteristic
812C2#6174011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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. #36160C2semidirect
2. C2×#2537C2semidirect
3. #32956C2semidirect
4. #32019C2semidirect
5. #31413C2semidirect
6. #29592C2semidirect
7. #28149C2semidirect
8. #27960C2semidirect
9. #27644C2semidirect
10. #27602C2semidirect
11. #25346C2semidirect
12. #24968C2semidirect
13. #24558C2semidirect
14. #24117C2semidirect
15. #22401C2semidirect
16. #21767C2semidirect
17. C4×#447C2semidirect
18. C2×#555C22semidirect
24. C2×#476C22semidirect
26. C2×C4×D8C22semidirect
27. C2×#436C22semidirect
31. #2563C22semidirect
38. #2537C22semidirect
39. #2485C22semidirect
43. #2414C22semidirect
47. #2354C22semidirect
54. #2099C22semidirect
55. #2083C22semidirect
56. #2077C22semidirect
57. #2076C22semidirect
58. #2076C22semidirect
59. #2071C22semidirect
60. #2034C22semidirect
61. #2033C22semidirect
62. #2033C22semidirect
63. #1999C22semidirect
64. #1999C22semidirect
65. #1990C22semidirect
66. #1954C22semidirect
67. #1947C22semidirect
68. #1895C22semidirect
69. #1895C22semidirect
70. #1895C22semidirect
71. #1879C22semidirect
72. #1875C22semidirect
73. #1875C22semidirect
75. #1870C22semidirect
76. #1864C22semidirect
77. #1862C22semidirect
78. #1854C22semidirect
81. #1834C22semidirect
82. #1825C22semidirect
86. #1809C22semidirect
87. #1802C22semidirect
88. #1802C22semidirect
93. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#361602
C2×#25372
#329562
#320192
#314132
#295922
#281492
#279602
#276442
#276022
#253462
#249682
#245582
#241172
#224012
#217672
C4×#4472