Finite Group Databasebeta

← #6848335

Subgroups — #6848335

Order 512.

2201 conjugacy classes of subgroups.

The subgroup lattice has 787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36161C211yesmaximal, characteristic, complemented
2C2×#2537C211yesmaximal, characteristic
3#32953C211yesmaximal, characteristic, complemented
4#32003C214yesmaximal, complemented
5#31393C214yesmaximal, complemented
6#29598C212yesmaximal, complemented
7#28141C212yesmaximal, complemented
8#27961C211yesmaximal, characteristic, complemented
9#27648C211yesmaximal, characteristic, complemented
10#27604C212yesmaximal, complemented
11#25338C212yesmaximal, complemented
12#24968C212yesmaximal, complemented
13#24552C212yesmaximal, complemented
14#24119C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21761C212yesmaximal, complemented
17C4×#450C211yesmaximal, characteristic, complemented
18C2×#556C2211yescharacteristic, complemented
19C22×#121—21no—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#484C2212yes—
24C2×#474C2212yescomplemented
25C2×#450C2211yescharacteristic
26C2×C4×SD16C2212yescomplemented
27C2×C8×D4C2212yescomplemented
28C22×C22⋊C8C2212yes—
29#2857C2211yescharacteristic
30#2848C2212yes—
31#2547C2211yescharacteristic, complemented
32#2538C2211yescharacteristic, complemented
33#2537—21no—
34#2537—21no—
35#2537—22no—
36#2537C2214yes—
37#2537C2212yes—
38#2537C2212yes—
39#2485C2212yescomplemented
40#2480—22no—
41#2466—22no—
42#2447—21no—
43#2435—21no—
44#2415C2212yescomplemented
45C2×#394—22no—
46#2367—21no—
47#2360—21no—
48#2354C2211yescharacteristic, complemented
49C4×C22⋊Q8C2211yescharacteristic
50C2×#384C2211yescharacteristic
51#2280C2212yes—
52C2×#380—21no—
53C2×#380C2212yes—
54#2100C2214yescomplemented
55#2083C2212yescomplemented
56#2077C2214yescomplemented
57#2076C2214yescomplemented
58#2075C2214yescomplemented
59#2072C2212yescomplemented
60#2036C2214yescomplemented
61#2033C2214yescomplemented
62#2033C2214yescomplemented
63#2000C2214yescomplemented
64#2000C2214yescomplemented
65#1990C2212yescomplemented
66#1954C2212yescomplemented
67#1947C2212yescomplemented
68#1893C2214yescomplemented
69#1893C2214yescomplemented
70#1892C2214yescomplemented
71#1877C2212yescomplemented
72#1875C2214yescomplemented
73#1875C2214yescomplemented
74#1872C2211yescharacteristic
75#1869C2214yescomplemented
76#1864C2212yescomplemented
77#1862C2214yescomplemented
78#1854C2214yescomplemented
79#1853C2211yescharacteristic
80#1852C2212yes—
81#1834C2212yescomplemented
82#1825C2214yescomplemented
83#1824C2212yes—
84#1824C2212yes—
85#1824C2212yes—
86#1808C2214yescomplemented
87#1803C2212yescomplemented
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×SD16C2312yes—
101C23×C8C2314yes—
102#556—44no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#126—22no—
105C2×#124—21no—
106C2×#124—21no—
107C2×C22⋊Q8—21no—
108C2×C22⋊Q8C2311yescharacteristic
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×#121—22no—
112C2×#121—24no—
113C2×#121—22no—
114C2×#121—22no—
115C2×#121—22no—
116C2×#121—28no—
117C2×#121—44no—
118C2×#121—48no—
119C2×#121C2314yes—
120C2×#121C2314yes—
121C2×C4×Q8—21no—
122C2×C4×Q8C2311yescharacteristic
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×D4C2312yes—
131C2×C4×D4C2312yes—
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C2×#117C2312yes—
136C2×#117C2312yes—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4D411yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2311yescharacteristic
142C22×C22⋊C4—22no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42C2311yescharacteristic
147#484—44no—
148#474—44no—
149#450—24no—
150C4×SD16—44no—
151C8×D4—44no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#106C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#103C2314yes—
157C2×#103C2312yes—
158C2×#102C2312yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2312yes—
162C2×#102C2312yes—
163C2×C22⋊C8—44no—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2311yescharacteristic
166C2×C22⋊C8C2311yescharacteristic
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2314yes—
170C2×C4×C8C2312yes—
171#397—22no—
172#397—22no—
173#397—22no—
174#396—22no—
175#394—22no—
176#394—22no—
177#394—24no—
178#394—24no—
179#394—24no—
180#394—24no—
181#391—21no—
182#391—21no—
183#391C2311yescharacteristic
184#390—21no—
185#390—21no—
186#389—22no—
187#389—21no—
188#389—21no—
189#389C2311yescharacteristic
190#389C2312yes—
191#388—22no—
192#388—22no—
193#388—22no—
194#387—22no—
195#387—21no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—21no—
200#384—21no—
201#384—21no—
202#384C2311yescharacteristic
203#384C2312yes—
204#384C2312yes—
205#381—22no—
206#380—21no—
207#380—22no—
208#380—22no—
209#380—22no—
210#380—22no—
211#380—24no—
212#380C2312yes—
213#380C2314yes—
214#380C2312yes—
215#380C2312yes—
216#380C2314yes—
217#380C2312yes—
218#380C2312yes—
219#380C2311yescharacteristic
220#379—22no—
221#379—22no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4C2311yescharacteristic
225C4×C22⋊C4—21no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C2×#95—22no—
229#340C2314yes—
230#340C2314yes—
231#340C2312yes—
232#340C2314yes—
233#340C2314yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238#336C2312yes—
239#336C2312yes—
240C25—21no—
241C25C2×D412yes—
242C22×Q8—21no—
243C22×Q8C2411yescharacteristic
244C22×D4—24no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—21no—
249C22×D4—22no—
250C22×D4—42no—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4—48no—
254C22×D4—48no—
255C22×D4—84no—
256C22×D4C2×D411yescharacteristic
257C22×D4C2×D412yes—
258C22×D4C2×D411yescharacteristic
259C22×D4#4114yes—
260C22×D4C2412yes—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—44no—
268C23×C4—44no—
269C23×C4—44no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2×D412yes—
277C23×C4C2412yes—
278C23×C4C2412yes—
279C23×C4C2411yescharacteristic
280C2×SD16—24no—
281C2×SD16—42no—
282C2×SD16—42no—
283C22×C8—44no—
284C22×C8—44no—
285C22×C8—44no—
286C22×C8C2412yes—
287C22×C8C2414yes—
288C22×C8C2412yes—
289C4⋊Q8—24no—
290#126—48no—
291#124—44no—
292#124—44no—
293C22⋊Q8—22no—
294C22⋊Q8—22no—
295C22⋊Q8—44no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298#121—28no—
299#121—28no—
300#121—44no—
301#121—44no—
302#121—48no—
303#121—48no—
304#121—48no—
305#121—416no—
306#121—48no—
307C4×Q8—24no—
308C4×Q8—44no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—24no—
312C4×D4—24no—
313C4×D4—44no—
314C4×D4—42no—
315C4×D4—42no—
316C4×D4—42no—
317C4×D4—42no—
318C4×D4—44no—
319C4×D4—44no—
320C4×D4—44no—
321#117—44no—
322#117—44no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—82no—
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4C2×D411yescharacteristic
346C2×C4⋊C4C2×D412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2414yes—
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2411yescharacteristic
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2411yescharacteristic
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—21no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—44no—
372C2×C22⋊C4—48no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—48no—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—21no—
382C2×C42—21no—
383C2×C42—22no—
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2411yescharacteristic
387C2×C42C2411yescharacteristic
388#107—44no—
389#107—44no—
390#106—42no—
391C4⋊C8—24no—
392#103—42no—
393#103—44no—
394#102—24no—
395#102—42no—
396#102—44no—
397#102—42no—
398#102—44no—
399C22⋊C8—22no—
400C22⋊C8—22no—
401C22⋊C8—24no—
402C22⋊C8—44no—
403C22⋊C8—44no—
404C22⋊C8—44no—
405C4×C8—24no—
406#95—24no—
407#95—24no—
408#95—21no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—21no—
413#95—21no—
414#95—22no—
415#95—21no—
416#95—21no—
417#95—22no—
418#95—22no—
419C24—24no—
420C24—24no—
421C24—22no—
422C24—24no—
423C24—24no—
424C24—24no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24C22×D412yes—
435C24C22×D412yes—
436C24C22×D411yescharacteristic
437C2×Q8—21no—
438C2×Q8—21no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8—42no—
444C2×D4—24no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—24no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—48no—
458C2×D4—416no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—48no—
465C2×D4—48no—
466C2×D4—48no—
467C2×D4—84no—
468C2×D4—84no—
469C2×D4—832no—
470C2×D4AGL(1,ℤ/8)14yes—
471C2×D4C2×#4114yes—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—21no—
496C22×C4—24no—
497C22×C4—41no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—88no—
517C22×C4—88no—
518C22×C4—816no—
519C22×C4#13514yes—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C2×#4112yes—
528C22×C4H(5,𝔽2)12yes—
529C22×C4C2511yescharacteristic
530SD16—48no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8—22no—
538C2×C8—24no—
539C2×C8—22no—
540C2×C8—88no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—81no—
565C4⋊C4—81no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C22⋊C4—24no—
570C22⋊C4—24no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—44no—
576C22⋊C4—48no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—42no—
580C22⋊C4—44no—
581C22⋊C4—48no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—42no—
585C22⋊C4—44no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—44no—
594C42—42no—
595C42—42no—
596C42—82no—
597C42H(5,𝔽2)14yes—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—48no—
617C23—48no—
618C23—48no—
619C23—48no—
620C23—48no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—48no—
625C23—48no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23#54612yes—
637C23C2×#13512yes—
638C23C2×AGL(1,ℤ/8)14yes—
639C23#57812yes—
640C23C23×D411yescharacteristic
641Q8—42no—
642Q8—42no—
643Q8—84no—
644D4—28no—
645D4—24no—
646D4—24no—
647D4—48no—
648D4—48no—
649D4—44no—
650D4—42no—
651D4—42no—
652D4—816no—
653D4—816no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—28no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—21no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—88no—
704C2×C4—84no—
705C2×C4—84no—
706C2×C4—88no—
707C2×C4—88no—
708C2×C4#53412yes—
709C2×C4#53412yes—
710C2×C4#54612yes—
711C2×C4C2×#13512yes—
712C2×C4C2×#13512yes—
713C2×C4C2×AGL(1,ℤ/8)12yes—
714C2×C4C22×#4111yescharacteristic
715C2×C4C2×H(5,𝔽2)12yes—
716C2×C4C2×H(5,𝔽2)11yescharacteristic
717C2×C4#58512yes—
718C8—42no—
719C8—44no—
720C8—42no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—44no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—44no—
742C22—42no—
743C22—44no—
744C22—816no—
745C22—816no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22#330214yes—
751C22C2×#53411yescharacteristic
752C22C2×#54611yescharacteristic
753C22#348511yescharacteristic
754C22C22×#13511yescharacteristic
755C22C22×AGL(1,ℤ/8)11yescharacteristic
756C22C2×#57811yescharacteristic
757C22#358511yescharacteristic
758C4—22no—
759C4—22no—
760C4—22no—
761C4—42no—
762C4—42no—
763C4—41no—
764C4—82no—
765C4—81no—
766C4—81no—
767C4—82no—
768C4—82no—
769C4—81no—
770C4—81no—
771C4—84no—
772C4#318814yes—
773C4#350512yes—
774C4#354212yes—
775C2—24no—
776C2—44no—
777C2—82no—
778C2—84no—
779C2#3946611yescharacteristic
780C2C2×#318811yescharacteristic
781C2#6076411yescharacteristic
782C2C2×#330211yescharacteristic
783C2#6115511yescharacteristic
784C2#6170011yescharacteristic
785C2#6173711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2537C2
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. #36161C2semidirect
3. #32953C2semidirect
4. #32003C2semidirect
5. #31393C2semidirect
6. #29598C2semidirect
7. #28141C2semidirect
8. #27961C2semidirect
9. #27648C2semidirect
10. #27604C2semidirect
11. #25338C2semidirect
12. #24968C2semidirect
13. #24552C2semidirect
14. #24119C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21761C2semidirect
17. C4×#450C2semidirect
18. C2×#556C22semidirect
24. C2×#474C22semidirect
26. C2×C4×SD16C22semidirect
27. C2×C8×D4C22semidirect
31. #2547C22semidirect
32. #2538C22semidirect
39. #2485C22semidirect
44. #2415C22semidirect
48. #2354C22semidirect
54. #2100C22semidirect
55. #2083C22semidirect
56. #2077C22semidirect
57. #2076C22semidirect
58. #2075C22semidirect
59. #2072C22semidirect
60. #2036C22semidirect
61. #2033C22semidirect
62. #2033C22semidirect
63. #2000C22semidirect
64. #2000C22semidirect
65. #1990C22semidirect
66. #1954C22semidirect
67. #1947C22semidirect
68. #1893C22semidirect
69. #1893C22semidirect
70. #1892C22semidirect
71. #1877C22semidirect
72. #1875C22semidirect
73. #1875C22semidirect
75. #1869C22semidirect
76. #1864C22semidirect
77. #1862C22semidirect
78. #1854C22semidirect
81. #1834C22semidirect
82. #1825C22semidirect
86. #1808C22semidirect
87. #1803C22semidirect
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
#361612
C2×#25372
#329532
#320032
#313932
#295982
#281412
#279612
#276482
#276042
#253382
#249682
#245522
#241192
D4×C22⋊C82
#217612
C4×#4502