Finite Group Databasebeta

← #6462377

Subgroups — #6462377

Order 512.

2080 conjugacy classes of subgroups.

The subgroup lattice has 789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36631C211yesmaximal, characteristic, complemented
2C2×#2293C211yesmaximal, characteristic, complemented
3#29578C212yesmaximal, complemented
4#29558C212yesmaximal, complemented
5#29429C214yesmaximal, complemented
6#29328C211yesmaximal, characteristic, complemented
7#29297C211yesmaximal, characteristic, complemented
8#29103C211yesmaximal, characteristic, complemented
9#28301C211yesmaximal, characteristic
10#24608C212yesmaximal, complemented
11#24506C212yesmaximal, complemented
12#23781C212yesmaximal, complemented
13#23682C212yesmaximal, complemented
14#21578C212yesmaximal, complemented
15#21452C212yesmaximal, complemented
16#21286C214yesmaximal, complemented
17C4×#432C211yesmaximal, characteristic, complemented
18C2×#529—21no—
19C22×C4×D4C2211yescharacteristic
20C22×#117—21no—
21C2×#480C2212yes—
22C2×#447C2212yes—
23C2×#442C2214yes—
24C2×#432C2212yes—
25#2861—21no—
26#2860—21no—
27#2860C2212yescomplemented
28#2859C2211yescharacteristic, complemented
29#2858C2211yescharacteristic, complemented
30#2857C2211yescharacteristic
31#2856C2211yescharacteristic
32#2854—21no—
33#2854C2212yes—
34#2850—21no—
35C4×C4⋊Q8C2211yescharacteristic, complemented
36C4×#127C2211yescharacteristic, complemented
37C4×#124—21no—
38C4×#121—21no—
39C4×#121C2212yes—
40#2293—21no—
41#2293—21no—
42#2293—21no—
43#2293—21no—
44#2293—21no—
45#2293C2212yes—
46#2293C2212yes—
47#2293C2212yes—
48#2293C2212yes—
49#2293C2212yescomplemented
50C2×#390C2211yescharacteristic
51C2×#390C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#389C2211yescharacteristic
54C2×#388—21no—
55C2×#388—21no—
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4—21no—
58C2×C43C2211yescharacteristic
59#2099C2212yescomplemented
60#2093C2212yes—
61#2087C2214yescomplemented
62#2084C2212yescomplemented
63#2071C2212yes—
64#2065C2214yes—
65#2065C2214yescomplemented
66#2058C2212yescomplemented
67#2054C2214yes—
68#2041C2212yescomplemented
69#2023C2212yes—
70#2011C2212yes—
71#1972C2214yes—
72#1970C2214yes—
73#1944C2214yescomplemented
74#1941C2214yescomplemented
75#1936C2214yes—
76#1936C2214yescomplemented
77#1934C2214yes—
78#1934C2214yescomplemented
79#1926C2214yescomplemented
80#1921C2214yescomplemented
81#1879C2214yes—
82#1874C2212yes—
83#1874C2212yes—
84#1864C2214yes—
85#1853C2212yes—
86#1853C2212yes—
87#1823C2212yes—
88#1786C2212yes—
89#1776C2214yescomplemented
90#1767C2212yescomplemented
91C4×C4⋊C8C2212yescomplemented
92#1762C2214yes—
93#1762C2214yescomplemented
94#1749C2212yes—
95C4×C22⋊C8C2211yescharacteristic
96C4×C22⋊C8C2211yescharacteristic
97#1745C2212yescomplemented
98C4×#97C2212yescomplemented
99C23×D4C2311yescharacteristic
100C24×C4—21no—
101C22×D8C2314yes—
102C2×C4⋊Q8C2311yescharacteristic
103C2×#127C2311yescharacteristic
104#529—48no—
105C2×#126—22no—
106C2×#125—21no—
107C2×#124—21no—
108C2×#124—21no—
109C2×#123—22no—
110C2×C22⋊Q8—21no—
111C2×#121—21no—
112C2×#121—21no—
113C2×#121C2312yes—
114C2×C4×Q8—21no—
115C2×C4×D4—28no—
116C2×C4×D4—22no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4C2312yes—
122C2×C4×D4C2312yes—
123C2×C4×D4C2312yes—
124C2×#117—22no—
125C2×#117—22no—
126C2×#117—22no—
127C2×#117—22no—
128C2×#117—22no—
129C2×#117—48no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2311yescharacteristic
134C22×C4⋊C4C2311yescharacteristic
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C42—21no—
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42D411yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#480—28no—
149#447—28no—
150#442—216no—
151#432—28no—
152C2×#107C2314yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C2×#97C2314yes—
165C2×#97C2314yes—
166C2×C4×C8C2312yes—
167C2×C4×C8C2312yes—
168#391—21no—
169#391—21no—
170#390—21no—
171#390—21no—
172#390—21no—
173#390—21no—
174#390—21no—
175#390—21no—
176#390—21no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390C2312yes—
181#390C2312yes—
182#390C2312yes—
183#390C2312yes—
184#390C2312yes—
185#390C2312yes—
186#390C2312yes—
187#390C2312yes—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—21no—
193#389—21no—
194#389—21no—
195#389—21no—
196#389C2312yes—
197#389C2312yes—
198#389C2312yes—
199#389C2312yes—
200#389C2312yes—
201#389C2312yes—
202#389C2312yes—
203#389C2312yes—
204#388—22no—
205#388—22no—
206#388—22no—
207#388—22no—
208#388—22no—
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#386—22no—
221#386—22no—
222#384C2311yescharacteristic
223#384C2311yescharacteristic
224#382—21no—
225#380—21no—
226#380C2312yes—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4C2312yes—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2312yes—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C2×#95—21no—
240C2×#95—21no—
241C2×#95—21no—
242C43D411yescharacteristic
243C43D411yescharacteristic
244C43D411yescharacteristic
245C43D411yescharacteristic
246C43C2311yescharacteristic
247C43C2311yescharacteristic
248C43C2311yescharacteristic
249C43C2311yescharacteristic
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#336C2312yes—
257#336C2312yes—
258#336C2314yes—
259C25—21no—
260C22×Q8—21no—
261C22×D4—24no—
262C22×D4—22no—
263C22×D4—21no—
264C22×D4—21no—
265C22×D4—21no—
266C22×D4—24no—
267C22×D4—42no—
268C22×D4C2412yes—
269C22×D4C2412yes—
270C23×C4—28no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—22no—
277C23×C4—44no—
278C23×C4—44no—
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2411yescharacteristic
286C2×D8—28no—
287C2×D8—28no—
288C2×D8—44no—
289C22×C8C2414yes—
290C22×C8C2414yes—
291C4⋊Q8—42no—
292#127—42no—
293#126—48no—
294#125—44no—
295#124—44no—
296#124—44no—
297#123—48no—
298C22⋊Q8—44no—
299#121—24no—
300#121—24no—
301#121—44no—
302#121—44no—
303C4×Q8—44no—
304C4×D4—28no—
305C4×D4—28no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—28no—
310C4×D4—44no—
311C4×D4—44no—
312C4×D4—48no—
313C4×D4#4118yes—
314#117—48no—
315#117—48no—
316#117—48no—
317#117—48no—
318#117—48no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—44no—
371C2×C22⋊C4—44no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—42no—
380C2×C42—42no—
381C2×C42—42no—
382C2×C42—44no—
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411#107—28no—
412#106—28no—
413#106—44no—
414C4⋊C8—28no—
415#102—28no—
416#102—28no—
417#102—28no—
418#102—28no—
419#102—44no—
420#102—44no—
421C22⋊C8—24no—
422C22⋊C8#4118yes—
423#97—28no—
424#97—28no—
425C4×C8—42no—
426C4×C8—42no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439C24—24no—
440C24—22no—
441C24—22no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24—42no—
448C24C22×D411yescharacteristic
449C2×Q8—42no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×D4—24no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—24no—
457C2×D4—22no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—416no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—42no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4C2×#4114yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—28no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—28no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—432no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4AGL(1,ℤ/8)14yes—
517C22×C4AGL(1,ℤ/8)14yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2×#4114yes—
532C22×C4C2511yescharacteristic
533D8—416no—
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8C2×#4118yes—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—42no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4C2×#4114yes—
564C22⋊C4—28no—
565C22⋊C4—28no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—41no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—44no—
613C42—44no—
614C42—44no—
615C42C2×#4114yes—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—24no—
621C23—48no—
622C23—48no—
623C23—48no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23#53212yes—
642C23C2×AGL(1,ℤ/8)12yes—
643C23C2×AGL(1,ℤ/8)12yes—
644C23C23×D411yescharacteristic
645Q8—84no—
646D4—28no—
647D4—48no—
648D4—44no—
649D4—44no—
650D4—44no—
651D4—84no—
652D4—84no—
653D4—88no—
654C2×C4—28no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—28no—
674C2×C4—21no—
675C2×C4—24no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—416no—
692C2×C4—416no—
693C2×C4—48no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—88no—
713C2×C4—84no—
714C2×C4—84no—
715C2×C4#52512yes—
716C2×C4#52512yes—
717C2×C4#53212yes—
718C2×C4C2×AGL(1,ℤ/8)12yes—
719C2×C4C2×AGL(1,ℤ/8)12yes—
720C2×C4C2×AGL(1,ℤ/8)12yes—
721C2×C4C2×AGL(1,ℤ/8)12yes—
722C2×C4#57512yes—
723C2×C4#57512yes—
724C2×C4C22×#4112yes—
725C2×C4C22×#4112yes—
726C2×C4#58512yes—
727C8—28no—
728C8—44no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—44no—
736C22—44no—
737C22—44no—
738C22—816no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22#318414yes—
751C22C2×#52511yescharacteristic
752C22C2×#53211yescharacteristic
753C22#344911yescharacteristic
754C22C22×AGL(1,ℤ/8)11yescharacteristic
755C22C22×AGL(1,ℤ/8)11yescharacteristic
756C22C2×#57511yescharacteristic
757C22C2×#57511yescharacteristic
758C4—22no—
759C4—22no—
760C4—22no—
761C4—22no—
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—44no—
771C4—41no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4#347514yes—
778C2—24no—
779C2—84no—
780C2—162no—
781C2#3487711yescharacteristic
782C2#6055811yescharacteristic
783C2#6056111yescharacteristic
784C2C2×#318411yescharacteristic
785C2#6070211yescharacteristic
786C2#6095811yescharacteristic
787C2#6095811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#28301C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #36631C2semidirect
2. C2×#2293C2semidirect
3. #29578C2semidirect
4. #29558C2semidirect
5. #29429C2semidirect
6. #29328C2semidirect
7. #29297C2semidirect
8. #29103C2semidirect
10. #24608C2semidirect
11. #24506C2semidirect
12. #23781C2semidirect
13. #23682C2semidirect
14. #21578C2semidirect
15. #21452C2semidirect
16. #21286C2semidirect
17. C4×#432C2semidirect
27. #2860C22semidirect
28. #2859C22semidirect
29. #2858C22semidirect
35. C4×C4⋊Q8C22semidirect
36. C4×#127C22semidirect
49. #2293C22semidirect
59. #2099C22semidirect
61. #2087C22semidirect
62. #2084C22semidirect
65. #2065C22semidirect
66. #2058C22semidirect
68. #2041C22semidirect
73. #1944C22semidirect
74. #1941C22semidirect
76. #1936C22semidirect
78. #1934C22semidirect
79. #1926C22semidirect
80. #1921C22semidirect
89. #1776C22semidirect
90. #1767C22semidirect
91. C4×C4⋊C8C22semidirect
93. #1762C22semidirect
97. #1745C22semidirect
98. C4×#97C22semidirect

Maximal subgroups

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

subgroupindex
#366312
C2×#22932
#295782
#295582
#294292
#293282
#292972
#291032
#283012
#246082
#245062
#237812
#236822
#215782
#214522
#212862
C4×#4322