Finite Group Databasebeta

← #6847990

Subgroups — #6847990

Order 512.

2110 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36160C211yesmaximal, characteristic
2C2×#2542C211yesmaximal, characteristic, complemented
3#33148C211yesmaximal, characteristic, complemented
4#32034C214yesmaximal, complemented
5#30710C214yesmaximal, complemented
6#29595C212yesmaximal, complemented
7#28598C212yesmaximal, complemented
8#26231C212yesmaximal, complemented
9#25856C211yesmaximal, characteristic, complemented
10#25568C212yesmaximal, complemented
11#25385C212yesmaximal, complemented
12#24381C212yesmaximal, complemented
13#24209C211yesmaximal, characteristic, complemented
14#24010C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21762C212yesmaximal, complemented
17C4×#480C211yesmaximal, characteristic, complemented
18C2×#555C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2212yes—
21C22×C22⋊Q8C2212yes—
22C22×C4×D4C2211yescharacteristic
23C2×#487C2212yescomplemented
24C2×#485C2214yescomplemented
25C2×#480C2211yescharacteristic
26C2×#465C2214yescomplemented
27C2×#461C2212yescomplemented
28C2×#448C2212yes—
29C2×C8×D4C2212yes—
30C22×C22⋊C8C2212yes—
31#2857C2211yescharacteristic
32#2847C2212yes—
33#2563C2211yescharacteristic
34#2542—21no—
35#2542—21no—
36#2542—22no—
37#2542C2214yes—
38#2542C2212yes—
39#2542C2212yes—
40#2537C2211yescharacteristic
41#2485C2212yes—
42#2472—22no—
43#2459—22no—
44#2420—21no—
45#2414C2212yes—
46#2408—21no—
47C2×#399—22no—
48#2363—21no—
49#2354C2211yescharacteristic
50#2352—21no—
51C4×#121C2211yescharacteristic
52C2×#390—21no—
53C2×#384—21no—
54#2280C2212yes—
55C2×C4×C4⋊C4C2211yescharacteristic
56#2043C2214yescomplemented
57#2043C2212yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2036C2214yescomplemented
61#2035C2214yescomplemented
62#2035C2214yescomplemented
63#2013C2212yescomplemented
64#2000C2214yescomplemented
65#2000C2214yescomplemented
66#2000C2214yescomplemented
67#1987C2212yescomplemented
68#1981C2212yescomplemented
69#1956C2212yescomplemented
70#1954C2212yes—
71#1948C2212yescomplemented
72#1925C2212yescomplemented
73#1920C2214yescomplemented
74#1918C2212yescomplemented
75#1892C2214yescomplemented
76#1892C2214yescomplemented
77#1892C2214yescomplemented
78#1874C2211yescharacteristic
79#1873C2214yescomplemented
80#1873C2214yescomplemented
81#1873C2214yescomplemented
82#1869C2214yes—
83#1853C2212yes—
84#1852C2211yescharacteristic
85#1823C2211yescharacteristic
86#1823C2212yes—
87#1797C2211yescharacteristic
88#1787C2212yes—
89#1787C2212yes—
90#1787C2212yes—
91#1779C2212yes—
92C4×#107C2212yescomplemented
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8C2312yes—
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×SD16C2314yes—
99C23×C8C2314yes—
100#555—44no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—44no—
104C2×C4⋊Q8C2312yes—
105C2×C4⋊Q8C2312yes—
106C2×C4⋊Q8C2311yescharacteristic
107C2×#124—22no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—21no—
113C2×C22⋊Q8—28no—
114C2×C22⋊Q8—48no—
115C2×C22⋊Q8—44no—
116C2×C22⋊Q8C2314yes—
117C2×C22⋊Q8C2314yes—
118C2×C22⋊Q8C2314yes—
119C2×C22⋊Q8C2314yes—
120C2×#121—21no—
121C2×#121—21no—
122C2×#121C2311yescharacteristic
123C2×#121C2312yes—
124C2×#121C2312yes—
125C2×#120—22no—
126C2×C4×D4—21no—
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×#117—21no—
136C2×#117C2312yes—
137C2×#117C2312yes—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—22no—
140C22×C4⋊C4—22no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4D411yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C4⋊C4C2311yescharacteristic
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4D412yes—
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150#487—44no—
151#485—48no—
152#480—24no—
153#465—48no—
154#461—44no—
155#448—44no—
156C8×D4—44no—
157C2×#107C2312yes—
158C2×#107C2312yes—
159C2×#106C2314yes—
160C2×C4⋊C8C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#102C2312yes—
169C2×#102C2312yes—
170C2×C22⋊C8—44no—
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2311yescharacteristic
173C2×C22⋊C8C2311yescharacteristic
174C2×C22⋊C8C2314yes—
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2314yes—
177C2×C4×C8C2312yes—
178#399—24no—
179#399—24no—
180#399—24no—
181#399—24no—
182#397—22no—
183#394—22no—
184#394—22no—
185#394—22no—
186#393—22no—
187#392—22no—
188#391—21no—
189#390—21no—
190#390—21no—
191#390—22no—
192#390—24no—
193#390—22no—
194#390—22no—
195#390C2311yescharacteristic
196#389—21no—
197#389C2312yes—
198#389C2311yescharacteristic
199#388—22no—
200#388—22no—
201#388—22no—
202#388—21no—
203#387—22no—
204#386—22no—
205#386—22no—
206#386—22no—
207#386—21no—
208#384—22no—
209#384—22no—
210#384—24no—
211#384C2311yescharacteristic
212#382—21no—
213#381—22no—
214#380—21no—
215#380—21no—
216#380C2312yes—
217#380C2312yes—
218#380C2312yes—
219#380C2311yescharacteristic
220#380C2312yes—
221#380C2312yes—
222#379—22no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4C2311yescharacteristic
227C4×C4⋊C4C2312yes—
228C4×C4⋊C4C2312yes—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—21no—
232C2×#95—21no—
233#340C2312yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#340C2314yes—
239#340C2312yes—
240#336C2312yes—
241#336C2312yes—
242C25C2×D412yes—
243C22×Q8—22no—
244C22×Q8—21no—
245C22×Q8—24no—
246C22×Q8—24no—
247C22×Q8—44no—
248C22×Q8—44no—
249C22×Q8C2414yes—
250C22×D4—24no—
251C22×D4—21no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—24no—
255C22×D4—42no—
256C22×D4C2×D411yescharacteristic
257C22×D4C2×D412yes—
258C22×D4C2×D411yescharacteristic
259C22×D4C2411yescharacteristic
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—22no—
265C23×C4—21no—
266C23×C4—44no—
267C23×C4—44no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C2×SD16—44no—
277C2×SD16—44no—
278C2×SD16—44no—
279C22×C8—44no—
280C22×C8—44no—
281C22×C8—44no—
282C22×C8C2412yes—
283C22×C8C2414yes—
284C22×C8C2412yes—
285C4⋊Q8—24no—
286C4⋊Q8—24no—
287C4⋊Q8—24no—
288C4⋊Q8—44no—
289C4⋊Q8—44no—
290C4⋊Q8—44no—
291#124—48no—
292C22⋊Q8—28no—
293C22⋊Q8—28no—
294C22⋊Q8—28no—
295C22⋊Q8—28no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298C22⋊Q8—44no—
299C22⋊Q8—44no—
300C22⋊Q8—48no—
301C22⋊Q8—48no—
302C22⋊Q8—48no—
303C22⋊Q8—48no—
304C22⋊Q8—82no—
305#121—22no—
306#121—22no—
307#121—44no—
308#121—44no—
309#121—44no—
310#121—44no—
311#120—84no—
312C4×D4—24no—
313C4×D4—24no—
314C4×D4—24no—
315C4×D4—44no—
316C4×D4—42no—
317C4×D4—42no—
318C4×D4—44no—
319C4×D4—44no—
320#117—44no—
321#117—44no—
322#117—44no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—48no—
342C2×C4⋊C4—48no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4C2×D411yescharacteristic
346C2×C4⋊C4C2×D411yescharacteristic
347C2×C4⋊C4C2×D412yes—
348C2×C4⋊C4#4114yes—
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2411yescharacteristic
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2411yescharacteristic
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—44no—
375C2×C22⋊C4—48no—
376C2×C22⋊C4—48no—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C42—24no—
382C2×C42—22no—
383C2×C42—21no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—44no—
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2411yescharacteristic
391C2×C42C2411yescharacteristic
392#107—24no—
393#107—24no—
394#106—28no—
395C4⋊C8—24no—
396#103—44no—
397#103—44no—
398#103—44no—
399#103—44no—
400#103—44no—
401#103—44no—
402#103—44no—
403#102—24no—
404#102—24no—
405C22⋊C8—22no—
406C22⋊C8—22no—
407C22⋊C8—24no—
408C22⋊C8—44no—
409C22⋊C8—44no—
410C22⋊C8—44no—
411C4×C8—24no—
412#95—22no—
413#95—22no—
414#95—21no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—21no—
419#95—22no—
420#95—21no—
421#95—22no—
422#95—22no—
423C24—24no—
424C24—24no—
425C24—24no—
426C24—24no—
427C24—21no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24C22×D412yes—
432C24C22×D412yes—
433C24C22×D411yescharacteristic
434C2×Q8—24no—
435C2×Q8—24no—
436C2×Q8—24no—
437C2×Q8—24no—
438C2×Q8—24no—
439C2×Q8—24no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8—42no—
443C2×Q8—44no—
444C2×Q8—81no—
445C2×Q8—81no—
446C2×Q8—88no—
447C2×Q8—88no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—21no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—21no—
459C2×D4—416no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—82no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4#13714yes—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—41no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—88no—
516C22×C4—88no—
517C22×C4#13514yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4C2511yescharacteristic
528SD16—88no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—24no—
534C2×C8—22no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8—22no—
538C2×C8—88no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—42no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—81no—
564C4⋊C4—82no—
565C4⋊C4C2×#4114yes—
566C4⋊C4H(5,𝔽2)14yes—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—48no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—42no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—81no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—44no—
593C42—44no—
594C42—44no—
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—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—48no—
616C23—48no—
617C23—48no—
618C23—48no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23#54612yes—
630C23C2×#13512yes—
631C23C2×#13714yes—
632C23#57712yes—
633C23C23×D411yescharacteristic
634Q8—44no—
635Q8—44no—
636Q8—44no—
637Q8—44no—
638Q8—88no—
639Q8—162no—
640D4—28no—
641D4—48no—
642D4—44no—
643D4—42no—
644D4—42no—
645D4—84no—
646D4—164no—
647D4—164no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—28no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—44no—
669C2×C4—48no—
670C2×C4—42no—
671C2×C4—48no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4—84no—
700C2×C4—88no—
701C2×C4—84no—
702C2×C4#53412yes—
703C2×C4#53412yes—
704C2×C4#54612yes—
705C2×C4C2×#13512yes—
706C2×C4C2×#13512yes—
707C2×C4C2×#13712yes—
708C2×C4C22×#4111yescharacteristic
709C2×C4C2×H(5,𝔽2)12yes—
710C2×C4C2×H(5,𝔽2)12yes—
711C2×C4C2×H(5,𝔽2)11yescharacteristic
712C8—42no—
713C8—42no—
714C8—44no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—816no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22#330314yes—
744C22C2×#53411yescharacteristic
745C22C2×#54611yescharacteristic
746C22#348411yescharacteristic
747C22C22×#13511yescharacteristic
748C22C22×#13711yescharacteristic
749C22C2×#57711yescharacteristic
750C22#358611yescharacteristic
751C4—22no—
752C4—22no—
753C4—22no—
754C4—42no—
755C4—42no—
756C4—41no—
757C4—44no—
758C4—44no—
759C4—84no—
760C4—81no—
761C4—82no—
762C4—81no—
763C4—82no—
764C4—81no—
765C4#319014yes—
766C4#350812yes—
767C4#354312yes—
768C2—24no—
769C2—44no—
770C2—82no—
771C2—161no—
772C2#3946411yescharacteristic
773C2C2×#319011yescharacteristic
774C2#6075811yescharacteristic
775C2C2×#330311yescharacteristic
776C2#6115711yescharacteristic
777C2#6156511yescharacteristic
778C2#6159311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36160C2
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×#2542C2semidirect
3. #33148C2semidirect
4. #32034C2semidirect
5. #30710C2semidirect
6. #29595C2semidirect
7. #28598C2semidirect
8. #26231C2semidirect
9. #25856C2semidirect
10. #25568C2semidirect
11. #25385C2semidirect
12. #24381C2semidirect
13. #24209C2semidirect
14. #24010C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21762C2semidirect
17. C4×#480C2semidirect
23. C2×#487C22semidirect
24. C2×#485C22semidirect
26. C2×#465C22semidirect
27. C2×#461C22semidirect
56. #2043C22semidirect
57. #2043C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2036C22semidirect
61. #2035C22semidirect
62. #2035C22semidirect
63. #2013C22semidirect
64. #2000C22semidirect
65. #2000C22semidirect
66. #2000C22semidirect
67. #1987C22semidirect
68. #1981C22semidirect
69. #1956C22semidirect
71. #1948C22semidirect
72. #1925C22semidirect
73. #1920C22semidirect
74. #1918C22semidirect
75. #1892C22semidirect
76. #1892C22semidirect
77. #1892C22semidirect
79. #1873C22semidirect
80. #1873C22semidirect
81. #1873C22semidirect
92. C4×#107C22semidirect
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×#25422
#331482
#320342
#307102
#295952
#285982
#262312
#258562
#255682
#253852
#243812
#242092
#240102
D4×C22⋊C82
#217622
C4×#4802