Finite Group Databasebeta

← #6577851

Subgroups — #6577851

Order 512.

2483 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
1C2×#3101C212yesmaximal, complemented
2#36134C211yesmaximal, characteristic, complemented
3C4×D42C211yesmaximal, characteristic
4#33197C211yesmaximal, characteristic, complemented
5#32956C212yesmaximal, complemented
6#28509C211yesmaximal, characteristic, complemented
7#28252C211yesmaximal, characteristic, complemented
8#26554C214yesmaximal, complemented
9#25014C212yesmaximal, complemented
10#24901C214yesmaximal, complemented
11#24701C212yesmaximal, complemented
12#24240C212yesmaximal
13#24151C212yesmaximal, complemented
14#22997C212yesmaximal, complemented
15#22795C211yesmaximal, characteristic, complemented
16C4⋊C4×SD16C212yesmaximal, complemented
17C4×#461C211yesmaximal, characteristic, complemented
18C2×D42C2211yescharacteristic
19C2×#533C2212yescomplemented
20C22×C4×D4—21no—
21C22×C4×D4C2212yes—
22#3101—216no—
23C2×#483C2214yescomplemented
24C2×#476C2212yes—
25C2×#476C2212yescomplemented
26C2×#476C2212yescomplemented
27C2×#460C2212yes—
28C2×#461C2211yescharacteristic
29C2×#461C2212yescomplemented
30C2×#450C2214yes—
31C2×C4×SD16C2214yes—
32C2×C4×SD16C2212yes—
33C2×C4×SD16C2214yescomplemented
34C2×#431C2212yescomplemented
35#2868C2211yescharacteristic, complemented
36#2857C2212yescomplemented
37#2552—21no—
38#2542—21no—
39#2538C2212yes—
40#2441—22no—
41#2429—22no—
42#2423C2214yescomplemented
43#2366C2211yescharacteristic
44#2365—21no—
45#2361—21no—
46#2361C2212yes—
47#2358—22no—
48#2354—21no—
49Q8×C4⋊C4C2212yescomplemented
50D4×C4⋊C4C2211yescharacteristic
51D4×C4⋊C4C2211yescharacteristic
52D4×C22⋊C4—21no—
53D4×C22⋊C4C2212yes—
54C4×C4⋊Q8C2211yescharacteristic, complemented
55C4×#127C2211yescharacteristic
56C4×#121—21no—
57C4×#121C2212yes—
58C4×#120—22no—
59C42×D4C2211yescharacteristic
60C42×D4C2211yescharacteristic
61#2094C2214yescomplemented
62#2077C2214yescomplemented
63#2055C2214yescomplemented
64#2035C2214yescomplemented
65#2034C2214yes—
66#2000C2214yes—
67#1987C2212yescomplemented
68#1981C2211yescharacteristic, complemented
69#1957C2212yes—
70#1954C2212yes—
71#1948C2211yescharacteristic, complemented
72#1948C2212yescomplemented
73#1948C2212yescomplemented
74#1941C2214yescomplemented
75#1934C2214yescomplemented
76#1927C2212yescomplemented
77#1923C2214yescomplemented
78#1880C2214yescomplemented
79#1877C2212yes—
80#1865C2214yescomplemented
81#1864C2214yes—
82#1864C2214yescomplemented
83#1853C2214yescomplemented
84#1844C2212yescomplemented
85#1842C2211yescharacteristic, complemented
86#1803C2212yescomplemented
87#1802C2212yes—
88#1802C2212yes—
89#1802C2211yescharacteristic
90#1802C2212yescomplemented
91#1797C2212yescomplemented
92#1786C2214yes—
93C8×C4⋊C4C2212yescomplemented
94C4×C4⋊C8C2211yescharacteristic, complemented
95C4×#103C2212yescomplemented
96C23×D4—21no—
97C23×D4C2312yes—
98C24×C4—22no—
99C22×SD16C2314yes—
100C22×SD16C2312yes—
101D42—24no—
102D42—24no—
103#533—28no—
104#533—44no—
105C2×C4⋊Q8—21no—
106C2×C4⋊Q8—21no—
107C2×C4⋊Q8C2311yescharacteristic
108C2×C4⋊Q8C2312yes—
109C2×#127C2311yescharacteristic
110C2×#125—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8C2314yes—
114C2×#121—21no—
115C2×#121C2312yes—
116C2×#120—22no—
117C2×C4×Q8—22no—
118C2×C4×Q8C2312yes—
119C2×C4×Q8C2314yes—
120C2×C4×D4—21no—
121C2×C4×D4—22no—
122C2×C4×D4—21no—
123C2×C4×D4—22no—
124C2×C4×D4—28no—
125C2×C4×D4—21no—
126C2×C4×D4—22no—
127C2×C4×D4—22no—
128C2×C4×D4—21no—
129C2×C4×D4—44no—
130C2×C4×D4—48no—
131C2×C4×D4D411yescharacteristic
132C2×C4×D4D411yescharacteristic
133C2×C4×D4C2312yes—
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2312yes—
136C2×C4×D4C2312yes—
137C2×C4×D4C2311yescharacteristic
138C2×C4×D4C2311yescharacteristic
139C2×C4×D4C2311yescharacteristic
140C2×#117—22no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4C2312yes—
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C42—21no—
146C22×C42C2312yes—
147#483—216no—
148#476—28no—
149#476—28no—
150#476—44no—
151#461—28no—
152#461D418yescomplemented
153#460—28no—
154#450—216no—
155C4×SD16—216no—
156C4×SD16—28no—
157C4×SD16—216no—
158#431—28no—
159C2×#106C2314yes—
160C2×#106C2314yes—
161C2×#106C2312yes—
162C2×#106C2314yes—
163C2×C4⋊C8C2311yescharacteristic
164C2×C4⋊C8C2312yes—
165C2×C4⋊C8C2312yes—
166C2×C4⋊C8C2312yes—
167C2×C4⋊C8C2311yescharacteristic
168C2×#103C2314yes—
169C2×#103C2312yes—
170C2×#103C2312yes—
171C2×#103C2312yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2312yes—
175C2×#102C2314yes—
176C2×#102C2314yes—
177C2×C22⋊C8C2314yes—
178C2×C22⋊C8C2314yes—
179C2×C4×C8C2312yes—
180C2×C4×C8C2314yes—
181#399—24no—
182#398—24no—
183#396—24no—
184#391—22no—
185#391C2312yes—
186#390—22no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390C2312yes—
191#390C2312yes—
192#389—21no—
193#389—22no—
194#389—21no—
195#389—21no—
196#389—22no—
197#389—24no—
198#389C2314yes—
199#389C2312yes—
200#388—24no—
201#388—22no—
202#388—22no—
203#387—24no—
204#386—22no—
205#386—22no—
206#386—22no—
207#386—22no—
208#386—22no—
209#385—22no—
210#385—22no—
211#385—22no—
212#384—22no—
213#384—21no—
214#384—21no—
215#384C2311yescharacteristic
216#384C2311yescharacteristic
217#384C2312yes—
218#384C2312yes—
219#380—22no—
220#380—21no—
221#380C2312yes—
222#380C2314yes—
223#379—22no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4D411yescharacteristic
228C4×C4⋊C4D411yescharacteristic
229C4×C4⋊C4C2311yescharacteristic
230C4×C4⋊C4C2311yescharacteristic
231C4×C4⋊C4C2311yescharacteristic
232C4×C4⋊C4C2311yescharacteristic
233C4×C22⋊C4—21no—
234C4×C22⋊C4—21no—
235C4×C22⋊C4—21no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4D412yes—
238C4×C22⋊C4D412yes—
239C4×C22⋊C4C2312yes—
240C43C2311yescharacteristic
241#340C2314yes—
242#340C2314yes—
243#340C2312yes—
244#340C2314yes—
245#340C2312yes—
246#336C2314yes—
247#336C2312yes—
248C25—22no—
249C22×Q8—22no—
250C22×Q8C2412yes—
251C22×D4—28no—
252C22×D4—22no—
253C22×D4—24no—
254C22×D4—24no—
255C22×D4—24no—
256C22×D4—24no—
257C22×D4—22no—
258C22×D4—21no—
259C22×D4—21no—
260C22×D4—42no—
261C22×D4—42no—
262C22×D4—44no—
263C22×D4—44no—
264C22×D4C2×D411yescharacteristic
265C22×D4C2412yes—
266C22×D4C2411yescharacteristic
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4—48no—
275C23×C4—48no—
276C23×C4—84no—
277C23×C4C2×D412yes—
278C23×C4C2×D412yes—
279C23×C4C2412yes—
280C2×SD16—24no—
281C2×SD16—24no—
282C2×SD16—28no—
283C2×SD16—28no—
284C2×SD16—44no—
285C2×SD16C2×D418yes—
286C22×C8C2414yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C4⋊Q8—24no—
290C4⋊Q8—22no—
291C4⋊Q8—24no—
292C4⋊Q8—44no—
293C4⋊Q8—82no—
294C4⋊Q8C2×D414yescomplemented
295#127—22no—
296#127#4114yes—
297#125—48no—
298C22⋊Q8—28no—
299C22⋊Q8—44no—
300C22⋊Q8—48no—
301C22⋊Q8—84no—
302#121—28no—
303#121—24no—
304#121—24no—
305#120—216no—
306C4×Q8—28no—
307C4×Q8—24no—
308C4×Q8—24no—
309C4×Q8—44no—
310C4×Q8—48no—
311C4×D4—24no—
312C4×D4—22no—
313C4×D4—24no—
314C4×D4—24no—
315C4×D4—22no—
316C4×D4—22no—
317C4×D4—22no—
318C4×D4—22no—
319C4×D4—24no—
320C4×D4—48no—
321C4×D4—42no—
322C4×D4—42no—
323C4×D4—42no—
324C4×D4—41no—
325C4×D4—48no—
326C4×D4—44no—
327C4×D4—48no—
328C4×D4—44no—
329C4×D4—48no—
330C4×D4—44no—
331C4×D4—82no—
332C4×D4SD1618yescomplemented
333C4×D4C2×D414yes—
334C4×D4#4114yes—
335#117—48no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—24no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—24no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—42no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2414yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2411yescharacteristic
364C2×C4⋊C4C2411yescharacteristic
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—48no—
380C2×C22⋊C4—48no—
381C2×C22⋊C4C2×D412yes—
382C2×C22⋊C4C2×D412yes—
383C2×C22⋊C4C2×D412yes—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—24no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—22no—
391C2×C42—44no—
392C2×C42C2×D412yes—
393C2×C42C2×D412yes—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2412yes—
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401C2×C42C2411yescharacteristic
402#106—28no—
403#106—28no—
404#106—24no—
405#106—44no—
406C4⋊C8—24no—
407C4⋊C8—24no—
408C4⋊C8—22no—
409C4⋊C8—42no—
410C4⋊C8C2×D414yescomplemented
411#103—28no—
412#103—24no—
413#103—42no—
414#103C2×D418yescomplemented
415#102—28no—
416#102—24no—
417#102—28no—
418#102—28no—
419#102—44no—
420C22⋊C8—28no—
421C22⋊C8—44no—
422C4×C8—28no—
423C4×C8—24no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—22no—
428#95—22no—
429#95—24no—
430#95—22no—
431#95—22no—
432#95—24no—
433#95C2×D412yes—
434#95C2×D412yes—
435#95C2×D412yes—
436C24—21no—
437C24—28no—
438C24—22no—
439C24—44no—
440C24—44no—
441C24—44no—
442C24—44no—
443C24—82no—
444C24—82no—
445C24C22×D412yes—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—22no—
451C2×Q8—44no—
452C2×Q8—44no—
453C2×Q8—44no—
454C2×Q8C22×D414yes—
455C2×D4—28no—
456C2×D4—28no—
457C2×D4—22no—
458C2×D4—24no—
459C2×D4—24no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—21no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—21no—
468C2×D4—22no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—48no—
472C2×D4—48no—
473C2×D4—432no—
474C2×D4—48no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—48no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—81no—
481C2×D4—81no—
482C2×D4C2×SD1614yes—
483C2×D4C22×D412yes—
484C2×D4C2×#4114yes—
485C2×D4C2×#4112yes—
486C2×D42−1+412yes—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—42no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—81no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4—832no—
526C22×C4—82no—
527C22×C4C2×SD1618yes—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D412yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C2511yescharacteristic
538SD16—216no—
539SD16—416no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—24no—
543C2×C8—22no—
544C2×C8—24no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—24no—
548C2×C8C22×D414yes—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—44no—
564C4⋊C4—48no—
565C4⋊C4—48no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—81no—
575C4⋊C4—84no—
576C4⋊C4—82no—
577C4⋊C4—82no—
578C4⋊C4C2×SD1614yes—
579C4⋊C4C22×D412yes—
580C4⋊C4C2×#4112yes—
581C22⋊C4—28no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—42no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—48no—
589C22⋊C4—42no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—84no—
597C22⋊C4C2×SD1618yes—
598C42—24no—
599C42—24no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—21no—
605C42—21no—
606C42—41no—
607C42—48no—
608C42—44no—
609C42—42no—
610C42—42no—
611C42—42no—
612C42C2×SD1614yes—
613C42C22×D412yes—
614C42C2×#4112yes—
615C42C2×#4112yes—
616C42H(5,𝔽2)12yes—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—24no—
627C23—416no—
628C23—416no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—88no—
640C23—88no—
641C23—88no—
642C23—88no—
643C23—88no—
644C23C22×SD1614yes—
645C23C23×D411yescharacteristic
646Q8—24no—
647Q8—24no—
648Q8—42no—
649Q8—42no—
650Q8—88no—
651D4—28no—
652D4—22no—
653D4—24no—
654D4—22no—
655D4—22no—
656D4—24no—
657D4—416no—
658D4—416no—
659D4—48no—
660D4—42no—
661D4—42no—
662D4—84no—
663D4#54714yes—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—216no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—48no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—48no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—84no—
710C2×C4—88no—
711C2×C4—84no—
712C2×C4—88no—
713C2×C4—88no—
714C2×C4—88no—
715C2×C4#52512yes—
716C2×C4#52512yes—
717C2×C4D4212yes—
718C2×C4D4212yes—
719C2×C4C22×SD1612yes—
720C2×C4C22×SD1614yes—
721C2×C4C22×SD1612yes—
722C2×C4C22×SD1612yes—
723C2×C4#57512yes—
724C2×C4#57712yes—
725C2×C4C23×D411yescharacteristic
726C2×C4C22×#4111yescharacteristic
727C2×C4C22×#4111yescharacteristic
728C2×C4C2×H(5,𝔽2)11yescharacteristic
729C2×C4C2×2−1+411yescharacteristic
730C2×C4#58511yescharacteristic
731C8—24no—
732C8—44no—
733C8—42no—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—44no—
749C22—44no—
750C22—44no—
751C22—832no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22C2×#52511yescharacteristic
757C22C2×D4211yescharacteristic
758C22#348911yescharacteristic
759C22C23×SD1611yescharacteristic
760C22C2×#57511yescharacteristic
761C22C2×#57711yescharacteristic
762C22#358511yescharacteristic
763C4—24no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—42no—
768C4—44no—
769C4—42no—
770C4—42no—
771C4—42no—
772C4—41no—
773C4—82no—
774C4—84no—
775C4—81no—
776C4—82no—
777C4#310114yescomplemented
778C4D4×SD1614yes—
779C4C2×#54711yescharacteristic
780C4D4×#4111yescharacteristic
781C4#350611yescharacteristic
782C4#352011yescharacteristic
783C2—44no—
784C2—44no—
785C2—84no—
786C2#3610011yescharacteristic
787C2C2×#310111yescharacteristic
788C2#6059711yescharacteristic
789C2C2×D4×SD1611yescharacteristic
790C2#6107011yescharacteristic
791C2#6209611yescharacteristic
792C2#6214411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×D42C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3101C2semidirect
2. #36134C2semidirect
4. #33197C2semidirect
5. #32956C2semidirect
6. #28509C2semidirect
7. #28252C2semidirect
8. #26554C2semidirect
9. #25014C2semidirect
10. #24901C2semidirect
11. #24701C2semidirect
13. #24151C2semidirect
14. #22997C2semidirect
15. #22795C2semidirect
16. C4⋊C4×SD16C2semidirect
17. C4×#461C2semidirect
19. C2×#533C22semidirect
23. C2×#483C22semidirect
25. C2×#476C22semidirect
26. C2×#476C22semidirect
29. C2×#461C22semidirect
33. C2×C4×SD16C22semidirect
34. C2×#431C22semidirect
35. #2868C22semidirect
36. #2857C22semidirect
42. #2423C22semidirect
49. Q8×C4⋊C4C22semidirect
54. C4×C4⋊Q8C22semidirect
61. #2094C22semidirect
62. #2077C22semidirect
63. #2055C22semidirect
64. #2035C22semidirect
67. #1987C22semidirect
68. #1981C22semidirect
71. #1948C22semidirect
72. #1948C22semidirect
73. #1948C22semidirect
74. #1941C22semidirect
75. #1934C22semidirect
76. #1927C22semidirect
77. #1923C22semidirect
78. #1880C22semidirect
80. #1865C22semidirect
82. #1864C22semidirect
83. #1853C22semidirect
84. #1844C22semidirect
85. #1842C22semidirect
86. #1803C22semidirect
90. #1802C22semidirect
91. #1797C22semidirect
93. C8×C4⋊C4C22semidirect
94. C4×C4⋊C8C22semidirect
95. C4×#103C22semidirect
152. #461D4semidirect
294. C4⋊Q8C2×D4semidirect
332. C4×D4SD16semidirect
410. C4⋊C8C2×D4semidirect
414. #103C2×D4semidirect
777. C4#3101semidirect

Maximal subgroups

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

subgroupindex
C2×#31012
#361342
C4×D422
#331972
#329562
#285092
#282522
#265542
#250142
#249012
#247012
#242402
#241512
#229972
#227952
C4⋊C4×SD162
C4×#4612