Finite Group Databasebeta

← #6848334

Subgroups — #6848334

Order 512.

2239 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36154C211yesmaximal, characteristic, complemented
2C2×#2537C211yesmaximal, characteristic
3#32956C211yesmaximal, characteristic, complemented
4#31996C214yesmaximal, complemented
5#31384C214yesmaximal, complemented
6#29596C212yesmaximal, complemented
7#28141C212yesmaximal, complemented
8#27960C211yesmaximal, characteristic, complemented
9#27647C211yesmaximal, characteristic, complemented
10#27601C212yesmaximal, complemented
11#25339C212yesmaximal, complemented
12#24967C212yesmaximal, complemented
13#24551C212yesmaximal, complemented
14#24118C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21758C212yesmaximal, complemented
17C4×#450C211yesmaximal, characteristic, complemented
18C2×#554C2211yescharacteristic, complemented
19C22×#121—21no—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#483C2212yes—
24C2×#476C2212yescomplemented
25C2×#450C2211yescharacteristic
26C2×C4×SD16C2212yescomplemented
27C2×C8×D4C2212yescomplemented
28C22×C22⋊C8C2212yes—
29#2857C2211yescharacteristic
30#2848C2212yes—
31#2563C2211yescharacteristic, complemented
32#2538C2211yescharacteristic, complemented
33#2537—21no—
34#2537—22no—
35#2537—21no—
36#2537C2212yes—
37#2537C2214yes—
38#2537C2212yes—
39#2487C2212yescomplemented
40#2454—21no—
41#2450—22no—
42#2442—21no—
43#2437—22no—
44#2417C2212yescomplemented
45C2×#394—22no—
46#2349—21no—
47D4×C4⋊C4C2211yescharacteristic, complemented
48D4×C22⋊C4—21no—
49C4×C22⋊Q8C2211yescharacteristic
50C2×#384C2211yescharacteristic
51C2×#380—21no—
52C2×#380C2212yes—
53C2×#380C2212yes—
54#2099C2214yescomplemented
55#2084C2212yescomplemented
56#2077C2214yescomplemented
57#2077C2214yescomplemented
58#2077C2214yescomplemented
59#2072C2212yescomplemented
60#2035C2214yescomplemented
61#2034C2214yescomplemented
62#2034C2214yescomplemented
63#2000C2214yescomplemented
64#2000C2214yescomplemented
65#1990C2212yescomplemented
66#1954C2212yescomplemented
67#1948C2212yescomplemented
68#1893C2214yescomplemented
69#1893C2214yescomplemented
70#1892C2214yescomplemented
71#1877C2212yescomplemented
72#1874C2214yescomplemented
73#1874C2214yescomplemented
74#1872C2211yescharacteristic
75#1869C2214yescomplemented
76#1864C2214yescomplemented
77#1864C2212yescomplemented
78#1853C2212yes—
79#1853C2211yescharacteristic
80#1853C2214yescomplemented
81#1834C2212yescomplemented
82#1824C2214yescomplemented
83#1823C2212yes—
84#1823C2212yes—
85#1823C2212yes—
86#1807C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1786C2212yes—
91#1786C2211yescharacteristic
92#1779C2212yes—
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×D4—22no—
96C23×D4D411yescharacteristic
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C24×C4C2312yes—
100C22×SD16C2312yes—
101C23×C8C2314yes—
102#554—44no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#125—21no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8C2311yescharacteristic
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×#121—22no—
111C2×#121—22no—
112C2×#121—24no—
113C2×#121—22no—
114C2×#121—22no—
115C2×#121—28no—
116C2×#121—44no—
117C2×#121—48no—
118C2×#121C2314yes—
119C2×#121C2314yes—
120C2×C4×Q8C2311yescharacteristic
121C2×C4×D4—21no—
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×D4D412yes—
129C2×C4×D4D411yescharacteristic
130C2×C4×D4C2312yes—
131C2×C4×D4C2312yes—
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4D412yes—
147C22×C42C2311yescharacteristic
148#483—44no—
149#476—44no—
150#450—24no—
151C4×SD16—44no—
152C8×D4—44no—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×#106C2312yes—
156C2×C4⋊C8C2312yes—
157C2×#103C2314yes—
158C2×#103C2312yes—
159C2×#102C2312yes—
160C2×#102C2314yes—
161C2×#102C2312yes—
162C2×#102C2314yes—
163C2×#102C2312yes—
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#400—22no—
173#399—22no—
174#398—22no—
175#396—22no—
176#396—22no—
177#394—24no—
178#394—24no—
179#394—24no—
180#394—24no—
181#393—22no—
182#391—21no—
183#391C2311yescharacteristic
184#390—21no—
185#390—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389C2311yescharacteristic
190#389C2312yes—
191#387—21no—
192#386—22no—
193#386—22no—
194#385—22no—
195#385—22no—
196#385—22no—
197#385—21no—
198#385—22no—
199#385—22no—
200#384—21no—
201#384—21no—
202#384C2311yescharacteristic
203#384C2312yes—
204#384C2312yes—
205#382—21no—
206#380—21no—
207#380—22no—
208#380—22no—
209#380—22no—
210#380—22no—
211#380—22no—
212#380—22no—
213#380—24no—
214#380—22no—
215#380C2312yes—
216#380C2312yes—
217#380C2314yes—
218#380C2312yes—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2311yescharacteristic
223#379—22no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4C2311yescharacteristic
226C4×C22⋊C4—21no—
227C2×#95—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—21no—
247C22×D4—22no—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4—42no—
251C22×D4—42no—
252C22×D4—48no—
253C22×D4—48no—
254C22×D4—84no—
255C22×D4SD1618yescomplemented
256C22×D4C2×D411yescharacteristic
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D412yes—
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—22no—
268C23×C4—22no—
269C23×C4—44no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2×D412yes—
279C23×C4C2412yes—
280C23×C4C2412yes—
281C23×C4C2411yescharacteristic
282C2×SD16—24no—
283C2×SD16—42no—
284C2×SD16—42no—
285C22×C8—44no—
286C22×C8—44no—
287C22×C8—44no—
288C22×C8C2412yes—
289C22×C8C2414yes—
290C22×C8C2412yes—
291C4⋊Q8—24no—
292#125—44no—
293C22⋊Q8—22no—
294C22⋊Q8—22no—
295C22⋊Q8—48no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298C22⋊Q8—82no—
299#121—28no—
300#121—28no—
301#121—44no—
302#121—44no—
303#121—48no—
304#121—48no—
305#121—48no—
306#121—48no—
307#121—416no—
308C4×Q8—24no—
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—
321C4×D4—44no—
322C4×D4—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—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—42no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—82no—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D412yes—
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2414yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2411yescharacteristic
358C2×C22⋊C4—21no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—48no—
375C2×C22⋊C4—44no—
376C2×C22⋊C4—48no—
377C2×C22⋊C4—84no—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C42—24no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2411yescharacteristic
388C2×C42C2411yescharacteristic
389#106—42no—
390#106—44no—
391#106—44no—
392C4⋊C8—24no—
393#103—42no—
394#103—44no—
395#102—24no—
396#102—42no—
397#102—44no—
398#102—42no—
399#102—44no—
400C22⋊C8—22no—
401C22⋊C8—22no—
402C22⋊C8—24no—
403C22⋊C8—44no—
404C22⋊C8—44no—
405C22⋊C8—44no—
406C4×C8—24no—
407#95—21no—
408#95—24no—
409#95—24no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—21no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—22no—
418#95—22no—
419#95—22no—
420C24—24no—
421C24—24no—
422C24—24no—
423C24—22no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24C2×SD1618yes—
435C24C22×D412yes—
436C24C22×D412yes—
437C24C22×D411yescharacteristic
438C2×Q8—21no—
439C2×Q8—21no—
440C2×Q8—22no—
441C2×Q8—22no—
442C2×Q8—42no—
443C2×Q8—81no—
444C2×Q8—81no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—416no—
456C2×D4—48no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—48no—
465C2×D4—48no—
466C2×D4—84no—
467C2×D4—84no—
468C2×D4—832no—
469C2×D4C2×SD1614yes—
470C2×D4C2×SD1614yes—
471C2×D4C2×SD1618yes—
472C2×D4C2×#4114yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—21no—
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—44no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—88no—
520C22×C4—88no—
521C22×C4—816no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4C2×SD1614yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C2×#4112yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4C2511yescharacteristic
537SD16—48no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—22no—
545C2×C8—24no—
546C2×C8—22no—
547C2×C8—88no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—24no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—81no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C4⋊C4—81no—
577C4⋊C4—82no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—42no—
588C22⋊C4—48no—
589C22⋊C4—48no—
590C22⋊C4—42no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—42no—
601C42—42no—
602C42H(5,𝔽2)14yes—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—216no—
620C23—24no—
621C23—48no—
622C23—48no—
623C23—48no—
624C23—48no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—48no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23#54612yes—
641C23C22×SD1614yes—
642C23C22×SD1614yes—
643C23C22×SD1612yes—
644C23#57612yes—
645C23C23×D411yescharacteristic
646Q8—42no—
647Q8—42no—
648Q8—162no—
649D4—28no—
650D4—28no—
651D4—24no—
652D4—24no—
653D4—48no—
654D4—48no—
655D4—42no—
656D4—42no—
657D4—816no—
658D4—816no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—28no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—88no—
709C2×C4—84no—
710C2×C4—84no—
711C2×C4—88no—
712C2×C4—88no—
713C2×C4—164no—
714C2×C4—164no—
715C2×C4#53412yes—
716C2×C4#53412yes—
717C2×C4#54612yes—
718C2×C4C22×SD1612yes—
719C2×C4C22×SD1612yes—
720C2×C4#57512yes—
721C2×C4C22×#4111yescharacteristic
722C2×C4C2×H(5,𝔽2)12yes—
723C2×C4C2×H(5,𝔽2)11yescharacteristic
724C2×C4#58512yes—
725C8—42no—
726C8—44no—
727C8—42no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—24no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—816no—
752C22—816no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22#329514yes—
758C22C2×#53411yescharacteristic
759C22C2×#54611yescharacteristic
760C22#348511yescharacteristic
761C22C23×SD1611yescharacteristic
762C22C2×#57511yescharacteristic
763C22C2×#57611yescharacteristic
764C22#358611yescharacteristic
765C4—22no—
766C4—22no—
767C4—22no—
768C4—42no—
769C4—42no—
770C4—41no—
771C4—81no—
772C4—82no—
773C4—81no—
774C4—82no—
775C4—81no—
776C4—82no—
777C4—84no—
778C4—81no—
779C4#318714yes—
780C4#350512yes—
781C4#354212yes—
782C2—24no—
783C2—44no—
784C2—44no—
785C2—84no—
786C2#3946611yescharacteristic
787C2C2×#318711yescharacteristic
788C2#6076211yescharacteristic
789C2C2×#329511yescharacteristic
790C2#6115911yescharacteristic
791C2#6169511yescharacteristic
792C2#6174011yescharacteristic
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. #36154C2semidirect
3. #32956C2semidirect
4. #31996C2semidirect
5. #31384C2semidirect
6. #29596C2semidirect
7. #28141C2semidirect
8. #27960C2semidirect
9. #27647C2semidirect
10. #27601C2semidirect
11. #25339C2semidirect
12. #24967C2semidirect
13. #24551C2semidirect
14. #24118C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21758C2semidirect
17. C4×#450C2semidirect
18. C2×#554C22semidirect
24. C2×#476C22semidirect
26. C2×C4×SD16C22semidirect
27. C2×C8×D4C22semidirect
31. #2563C22semidirect
32. #2538C22semidirect
39. #2487C22semidirect
44. #2417C22semidirect
47. D4×C4⋊C4C22semidirect
54. #2099C22semidirect
55. #2084C22semidirect
56. #2077C22semidirect
57. #2077C22semidirect
58. #2077C22semidirect
59. #2072C22semidirect
60. #2035C22semidirect
61. #2034C22semidirect
62. #2034C22semidirect
63. #2000C22semidirect
64. #2000C22semidirect
65. #1990C22semidirect
66. #1954C22semidirect
67. #1948C22semidirect
68. #1893C22semidirect
69. #1893C22semidirect
70. #1892C22semidirect
71. #1877C22semidirect
72. #1874C22semidirect
73. #1874C22semidirect
75. #1869C22semidirect
76. #1864C22semidirect
77. #1864C22semidirect
80. #1853C22semidirect
81. #1834C22semidirect
82. #1824C22semidirect
86. #1807C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
93. C4×#102C22semidirect
255. C22×D4SD16semidirect

Maximal subgroups

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

subgroupindex
#361542
C2×#25372
#329562
#319962
#313842
#295962
#281412
#279602
#276472
#276012
#253392
#249672
#245512
#241182
D4×C22⋊C82
#217582
C4×#4502