Finite Group Databasebeta

← #6848000

Subgroups — #6848000

Order 512.

2101 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36154C211yesmaximal, characteristic
2C2×#2542C211yesmaximal, characteristic
3#33149C211yesmaximal, characteristic, complemented
4#32029C214yesmaximal, complemented
5#30707C214yesmaximal, complemented
6#29597C212yesmaximal, complemented
7#28598C212yesmaximal, complemented
8#26236C212yesmaximal, complemented
9#25856C211yesmaximal, characteristic, complemented
10#25573C212yesmaximal, complemented
11#25386C212yesmaximal, complemented
12#24380C212yesmaximal, complemented
13#24212C211yesmaximal, characteristic, complemented
14#24006C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16#21759C212yesmaximal, complemented
17C4×#484C211yesmaximal, characteristic, complemented
18C2×#554C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2212yes—
21C22×C22⋊Q8C2212yes—
22C22×C4×D4C2211yescharacteristic
23C2×#487C2212yescomplemented
24C2×#484C2211yescharacteristic
25C2×#484C2214yescomplemented
26C2×#467C2214yescomplemented
27C2×#462C2212yescomplemented
28C2×#451C2212yes—
29C2×C8×D4C2212yes—
30C22×C22⋊C8C2212yes—
31#2857C2211yescharacteristic
32#2848C2212yes—
33#2563C2211yescharacteristic
34#2542—21no—
35#2542—22no—
36#2542—21no—
37#2542C2214yes—
38#2542C2212yes—
39#2542C2212yes—
40#2538C2211yescharacteristic
41#2487C2212yes—
42#2454—21no—
43#2450—22no—
44#2442—21no—
45#2437—22no—
46#2417C2212yes—
47C2×#399—22no—
48#2349—21no—
49D4×C4⋊C4C2211yescharacteristic
50D4×C22⋊C4—21no—
51C4×C22⋊Q8C2211yescharacteristic
52C2×#390—21no—
53C2×#384—21no—
54C2×#380C2212yes—
55C2×C4×C4⋊C4C2211yescharacteristic
56#2043C2214yescomplemented
57#2043C2212yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2036C2214yescomplemented
61#2036C2214yescomplemented
62#2036C2214yescomplemented
63#2016C2212yescomplemented
64#2001C2214yescomplemented
65#2001C2214yescomplemented
66#2001C2214yescomplemented
67#1987C2212yescomplemented
68#1981C2212yescomplemented
69#1956C2212yescomplemented
70#1954C2212yes—
71#1947C2212yescomplemented
72#1928C2212yescomplemented
73#1921C2212yescomplemented
74#1921C2214yescomplemented
75#1892C2214yescomplemented
76#1892C2214yescomplemented
77#1892C2214yescomplemented
78#1872C2211yescharacteristic
79#1872C2214yescomplemented
80#1872C2214yescomplemented
81#1872C2214yescomplemented
82#1869C2214yes—
83#1852C2212yes—
84#1852C2211yescharacteristic
85#1824C2211yescharacteristic
86#1824C2212yes—
87#1797C2211yescharacteristic
88#1787C2212yes—
89#1787C2212yes—
90#1787C2212yes—
91#1779C2212yes—
92C4×#107C2212yescomplemented
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8C2312yes—
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×Q16C2314yes—
99C23×C8C2314yes—
100#554—44no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—44no—
104C2×C4⋊Q8C2312yes—
105C2×C4⋊Q8C2312yes—
106C2×C4⋊Q8C2311yescharacteristic
107C2×#125—21no—
108C2×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—21no—
113C2×C22⋊Q8—22no—
114C2×C22⋊Q8—28no—
115C2×C22⋊Q8—48no—
116C2×C22⋊Q8—44no—
117C2×C22⋊Q8C2311yescharacteristic
118C2×C22⋊Q8C2314yes—
119C2×C22⋊Q8C2314yes—
120C2×C22⋊Q8C2314yes—
121C2×C22⋊Q8C2314yes—
122C2×C22⋊Q8C2312yes—
123C2×C22⋊Q8C2312yes—
124C2×C4×Q8C2311yescharacteristic
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4—44no—
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D412yes—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2312yes—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—22no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2312yes—
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4D412yes—
147C22×C42—21no—
148C22×C42C2311yescharacteristic
149#487—44no—
150#484—24no—
151#484—48no—
152#467—48no—
153#462—44no—
154#451—44no—
155C8×D4—44no—
156C2×#107C2312yes—
157C2×#107C2312yes—
158C2×#107C2314yes—
159C2×C4⋊C8C2312yes—
160C2×#103C2312yes—
161C2×#103C2312yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×C22⋊C8—44no—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2311yescharacteristic
172C2×C22⋊C8C2311yescharacteristic
173C2×C22⋊C8C2314yes—
174C2×C22⋊C8C2314yes—
175C2×C22⋊C8C2314yes—
176C2×C4×C8C2312yes—
177#400—22no—
178#399—24no—
179#399—24no—
180#399—24no—
181#399—24no—
182#399—22no—
183#398—22no—
184#396—22no—
185#396—22no—
186#393—22no—
187#391—21no—
188#391C2311yescharacteristic
189#390—21no—
190#390—21no—
191#390—22no—
192#390—22no—
193#390—24no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389C2312yes—
198#389C2311yescharacteristic
199#387—21no—
200#386—22no—
201#386—22no—
202#385—22no—
203#385—22no—
204#385—22no—
205#385—21no—
206#385—22no—
207#385—22no—
208#384—22no—
209#384—22no—
210#384—24no—
211#384C2311yescharacteristic
212#382—21no—
213#380—21no—
214#380—22no—
215#380—22no—
216#380—22no—
217#380C2312yes—
218#380C2312yes—
219#380C2312yes—
220#380C2311yescharacteristic
221#380C2312yes—
222#380C2312yes—
223#379—22no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4C2311yescharacteristic
228C4×C4⋊C4C2312yes—
229C4×C4⋊C4C2312yes—
230C4×C22⋊C4—21no—
231C2×#95—22no—
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×Q8C2411yescharacteristic
250C22×Q8C2414yes—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4Q1618yescomplemented
254C22×D4C2×D411yescharacteristic
255C22×D4C2×D411yescharacteristic
256C22×D4C2×D412yes—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—22no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D412yes—
269C23×C4C2×D412yes—
270C23×C4C2×D412yes—
271C23×C4C2412yes—
272C23×C4C2412yes—
273C23×C4C2411yescharacteristic
274C2×Q16—44no—
275C2×Q16—44no—
276C2×Q16—44no—
277C22×C8—44no—
278C22×C8—44no—
279C22×C8—44no—
280C22×C8C2412yes—
281C22×C8C2414yes—
282C22×C8C2412yes—
283C4⋊Q8—24no—
284C4⋊Q8—24no—
285C4⋊Q8—24no—
286C4⋊Q8—44no—
287C4⋊Q8—44no—
288C4⋊Q8—44no—
289#125—44no—
290C22⋊Q8—22no—
291C22⋊Q8—22no—
292C22⋊Q8—28no—
293C22⋊Q8—28no—
294C22⋊Q8—28no—
295C22⋊Q8—28no—
296C22⋊Q8—48no—
297C22⋊Q8—44no—
298C22⋊Q8—44no—
299C22⋊Q8—44no—
300C22⋊Q8—44no—
301C22⋊Q8—44no—
302C22⋊Q8—48no—
303C22⋊Q8—48no—
304C22⋊Q8—48no—
305C22⋊Q8—48no—
306C22⋊Q8—44no—
307C22⋊Q8—82no—
308C4×Q8—24no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—44no—
312C4×D4—42no—
313C4×D4—42no—
314C4×D4—44no—
315C4×D4—44no—
316C4×D4—44no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—48no—
344C2×C4⋊C4—48no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4C2×D411yescharacteristic
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D412yes—
350C2×C4⋊C4#4114yes—
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—21no—
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—48no—
374C2×C22⋊C4—84no—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C42—24no—
380C2×C42—21no—
381C2×C42—21no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—44no—
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2411yescharacteristic
388C2×C42C2411yescharacteristic
389#107—24no—
390#107—28no—
391#107—24no—
392C4⋊C8—24no—
393#103—24no—
394#103—24no—
395#103—44no—
396#103—44no—
397#103—44no—
398#103—44no—
399#103—44no—
400#103—44no—
401#103—44no—
402C22⋊C8—22no—
403C22⋊C8—22no—
404C22⋊C8—24no—
405C22⋊C8—44no—
406C22⋊C8—44no—
407C22⋊C8—44no—
408C4×C8—24no—
409#95—21no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—21no—
419#95—22no—
420#95—22no—
421#95—22no—
422C24—24no—
423C24—24no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24C2×Q1618yes—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D411yescharacteristic
432C2×Q8—21no—
433C2×Q8—24no—
434C2×Q8—22no—
435C2×Q8—24no—
436C2×Q8—24no—
437C2×Q8—24no—
438C2×Q8—24no—
439C2×Q8—24no—
440C2×Q8—22no—
441C2×Q8—21no—
442C2×Q8—44no—
443C2×Q8—44no—
444C2×Q8—42no—
445C2×Q8—44no—
446C2×Q8—81no—
447C2×Q8—81no—
448C2×Q8—88no—
449C2×Q8—88no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—416no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4C2×Q1614yes—
458C2×D4C2×Q1614yes—
459C2×D4C2×Q1618yes—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—24no—
488C22×C4—41no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—88no—
505C22×C4—88no—
506C22×C4—82no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4C2×Q1614yes—
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C2×#4112yes—
519C22×C4H(5,𝔽2)12yes—
520C22×C4C2511yescharacteristic
521Q16—88no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—24no—
529C2×C8—24no—
530C2×C8—22no—
531C2×C8—88no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—42no—
545C4⋊C4—48no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—48no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—81no—
560C4⋊C4—82no—
561C4⋊C4—82no—
562C4⋊C4—81no—
563C4⋊C4—82no—
564C4⋊C4C2×#4114yes—
565C4⋊C4H(5,𝔽2)14yes—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—44no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—44no—
587C42—42no—
588C42—44no—
589C42—42no—
590C42H(5,𝔽2)14yes—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—216no—
608C23—48no—
609C23—48no—
610C23—84no—
611C23—84no—
612C23—84no—
613C23—84no—
614C23#54612yes—
615C23C22×Q1614yes—
616C23C22×Q1614yes—
617C23C22×Q1612yes—
618C23#57712yes—
619C23C23×D411yescharacteristic
620Q8—42no—
621Q8—44no—
622Q8—44no—
623Q8—42no—
624Q8—44no—
625Q8—44no—
626Q8—88no—
627Q8—162no—
628D4—28no—
629D4—28no—
630D4—48no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—28no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—21no—
651C2×C4—44no—
652C2×C4—48no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—44no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4—84no—
686C2×C4—88no—
687C2×C4—164no—
688C2×C4—164no—
689C2×C4#53412yes—
690C2×C4#53412yes—
691C2×C4#54612yes—
692C2×C4C22×Q1612yes—
693C2×C4C22×Q1612yes—
694C2×C4#57512yes—
695C2×C4C22×#4111yescharacteristic
696C2×C4C2×H(5,𝔽2)12yes—
697C2×C4C2×H(5,𝔽2)12yes—
698C2×C4C2×H(5,𝔽2)11yescharacteristic
699C8—42no—
700C8—42no—
701C8—44no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—24no—
709C22—24no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—816no—
723C22#329914yes—
724C22C2×#53411yescharacteristic
725C22C2×#54611yescharacteristic
726C22#348411yescharacteristic
727C22C23×Q1611yescharacteristic
728C22C2×#57511yescharacteristic
729C22C2×#57711yescharacteristic
730C22#358611yescharacteristic
731C4—22no—
732C4—22no—
733C4—22no—
734C4—42no—
735C4—42no—
736C4—41no—
737C4—44no—
738C4—44no—
739C4—84no—
740C4—81no—
741C4—81no—
742C4—82no—
743C4—82no—
744C4—81no—
745C4—81no—
746C4#318914yes—
747C4#350812yes—
748C4#354312yes—
749C2—24no—
750C2—44no—
751C2—44no—
752C2#3946411yescharacteristic
753C2C2×#318911yescharacteristic
754C2#6075811yescharacteristic
755C2C2×#329911yescharacteristic
756C2#6115911yescharacteristic
757C2#6156311yescharacteristic
758C2#6160411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
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
3. #33149C2semidirect
4. #32029C2semidirect
5. #30707C2semidirect
6. #29597C2semidirect
7. #28598C2semidirect
8. #26236C2semidirect
9. #25856C2semidirect
10. #25573C2semidirect
11. #25386C2semidirect
12. #24380C2semidirect
13. #24212C2semidirect
14. #24006C2semidirect
16. #21759C2semidirect
17. C4×#484C2semidirect
23. C2×#487C22semidirect
25. C2×#484C22semidirect
26. C2×#467C22semidirect
27. C2×#462C22semidirect
56. #2043C22semidirect
57. #2043C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2036C22semidirect
61. #2036C22semidirect
62. #2036C22semidirect
63. #2016C22semidirect
64. #2001C22semidirect
65. #2001C22semidirect
66. #2001C22semidirect
67. #1987C22semidirect
68. #1981C22semidirect
69. #1956C22semidirect
71. #1947C22semidirect
72. #1928C22semidirect
73. #1921C22semidirect
74. #1921C22semidirect
75. #1892C22semidirect
76. #1892C22semidirect
77. #1892C22semidirect
79. #1872C22semidirect
80. #1872C22semidirect
81. #1872C22semidirect
92. C4×#107C22semidirect
93. C4×#103C22semidirect
253. C22×D4Q16semidirect

Maximal subgroups

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

subgroupindex
#361542
C2×#25422
#331492
#320292
#307072
#295972
#285982
#262362
#258562
#255732
#253862
#243802
#242122
#240062
D4×C22⋊C82
#217592
C4×#4842