Finite Group Databasebeta

← #6593462

Subgroups — #6593462

Order 512.

2355 conjugacy classes of subgroups.

The subgroup lattice has 811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36187C211yesmaximal, characteristic, complemented
2C4×D42C211yesmaximal, characteristic, complemented
3#33197C211yesmaximal, characteristic, complemented
4#32902C212yesmaximal, complemented
5#29139C211yesmaximal, characteristic, complemented
6#28251C211yesmaximal, characteristic, complemented
7#27627C212yesmaximal, complemented
8#27243C214yesmaximal, complemented
9#26737C214yesmaximal, complemented
10#24967C212yesmaximal, complemented
11#24658C212yesmaximal, complemented
12#24236C212yesmaximal, complemented
13#23099C212yesmaximal, complemented
14#22799C211yesmaximal, characteristic, complemented
15#22758C212yesmaximal, complemented
16C4×#459C211yesmaximal, characteristic, complemented
17#20738C212yesmaximal, complemented
18C2×#555—21no—
19C2×D42C2211yescharacteristic
20C22×C4×D4—21no—
21C22×C4×D4C2212yes—
22C2×#476C2212yes—
23C2×#459C2212yes—
24C2×#459C2211yescharacteristic
25C2×#459C2212yescomplemented
26C2×#447C2214yes—
27C2×C4×D8C2212yes—
28C2×#432C2212yescomplemented
29#2868C2211yescharacteristic, complemented
30#2856C2212yescomplemented
31#2563—21no—
32#2537—21no—
33#2537C2212yes—
34#2500—22no—
35#2491—22no—
36#2491C2214yescomplemented
37#2366C2211yescharacteristic
38#2361—21no—
39#2361C2212yes—
40#2358—22no—
41#2354—21no—
42#2354C2212yescomplemented
43D4×C4⋊C4C2211yescharacteristic
44D4×C4⋊C4C2211yescharacteristic
45D4×C22⋊C4—21no—
46D4×C22⋊C4C2212yes—
47C4×#127C2211yescharacteristic
48C4×#127C2211yescharacteristic, complemented
49C4×#121—21no—
50C4×#121C2212yes—
51C4×#120—22no—
52#2285C2212yescomplemented
53C42×D4C2211yescharacteristic
54C42×D4C2211yescharacteristic
55#2077C2214yescomplemented
56#2054C2214yescomplemented
57#2034C2214yescomplemented
58#2033C2214yes—
59#2023C2214yescomplemented
60#1999C2214yes—
61#1987C2212yescomplemented
62#1982C2211yescharacteristic, complemented
63#1972C2214yescomplemented
64#1957C2212yes—
65#1954C2212yes—
66#1948C2212yescomplemented
67#1948C2212yescomplemented
68#1947C2211yescharacteristic, complemented
69#1936C2214yescomplemented
70#1926C2214yescomplemented
71#1925C2212yescomplemented
72#1924C2214yescomplemented
73#1921C2214yescomplemented
74#1879C2212yes—
75#1879C2214yes—
76#1879C2214yescomplemented
77#1874C2214yescomplemented
78#1842C2211yescharacteristic, complemented
79#1834C2212yescomplemented
80#1824C2214yescomplemented
81#1802C2211yescharacteristic
82#1802C2212yes—
83#1802C2212yes—
84#1802C2212yescomplemented
85#1802C2212yescomplemented
86#1802C2212yescomplemented
87#1802C2212yescomplemented
88#1797C2212yescomplemented
89#1786C2214yes—
90#1770C2212yescomplemented
91C4×C4⋊C8C2211yescharacteristic, complemented
92#1762C2214yes—
93#1762C2214yescomplemented
94C4×#102C2212yescomplemented
95C23×D4—21no—
96C23×D4C2312yes—
97C24×C4—22no—
98C22×D8C2312yes—
99C22×D8C2314yes—
100#555—48no—
101D42—24no—
102D42—24no—
103C2×C4⋊Q8—21no—
104C2×C4⋊Q8—21no—
105C2×C4⋊Q8C2312yes—
106C2×#127C2311yescharacteristic
107C2×#127C2311yescharacteristic
108C2×#124—24no—
109C2×#121—22no—
110C2×#121—22no—
111C2×#121—22no—
112C2×#121—21no—
113C2×#121C2312yes—
114C2×#121C2314yes—
115C2×#120—22no—
116C2×C4×D4—21no—
117C2×C4×D4—22no—
118C2×C4×D4—21no—
119C2×C4×D4—22no—
120C2×C4×D4—28no—
121C2×C4×D4—21no—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—22no—
125C2×C4×D4—22no—
126C2×C4×D4—21no—
127C2×C4×D4—44no—
128C2×C4×D4—48no—
129C2×C4×D4D411yescharacteristic
130C2×C4×D4D411yescharacteristic
131C2×C4×D4C2312yes—
132C2×C4×D4C2312yes—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C2×C4×D4C2312yes—
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2311yescharacteristic
138C2×C4×D4C2311yescharacteristic
139C2×#117—22no—
140C2×#117—22no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4C2312yes—
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C42—21no—
146C22×C42C2312yes—
147#476—44no—
148#459—28no—
149#459—24no—
150#459—44no—
151#447—48no—
152C4×D8—28no—
153#432—44no—
154C2×#107C2312yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2311yescharacteristic
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2311yescharacteristic
159C2×C4⋊C8C2312yes—
160C2×C4⋊C8C2312yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2312yes—
164C2×#102C2312yes—
165C2×#102C2312yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2312yes—
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×#97C2314yes—
173C2×C4×C8C2312yes—
174#394—24no—
175#394—24no—
176#393—24no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390—21no—
181#390—21no—
182#390—22no—
183#390—22no—
184#390C2312yes—
185#390C2312yes—
186#390C2312yes—
187#390C2314yes—
188#389—21no—
189#389C2312yes—
190#388—22no—
191#388—24no—
192#388—24no—
193#388—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#386—22no—
198#386—22no—
199#385—22no—
200#385—22no—
201#385—22no—
202#384—21no—
203#384—21no—
204#384C2311yescharacteristic
205#384C2311yescharacteristic
206#384C2312yes—
207#384C2312yes—
208#382—22no—
209#380—22no—
210#380—22no—
211#380—22no—
212#380—21no—
213#380C2312yes—
214#380C2314yes—
215#379—22no—
216C4×C4⋊C4—22no—
217C4×C4⋊C4D411yescharacteristic
218C4×C4⋊C4D411yescharacteristic
219C4×C4⋊C4C2311yescharacteristic
220C4×C4⋊C4C2314yes—
221C4×C4⋊C4C2311yescharacteristic
222C4×C4⋊C4C2311yescharacteristic
223C4×C4⋊C4C2311yescharacteristic
224C4×C22⋊C4—21no—
225C4×C22⋊C4—21no—
226C4×C22⋊C4—21no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4D412yes—
229C4×C22⋊C4D412yes—
230C4×C22⋊C4C2312yes—
231C43C2311yescharacteristic
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238#340C2312yes—
239#336C2314yes—
240#336C2312yes—
241C25—22no—
242C22×Q8—22no—
243C22×D4—28no—
244C22×D4—22no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—24no—
249C22×D4—24no—
250C22×D4—22no—
251C22×D4—21no—
252C22×D4—21no—
253C22×D4—21no—
254C22×D4—21no—
255C22×D4—42no—
256C22×D4—42no—
257C22×D4—44no—
258C22×D4—44no—
259C22×D4C2×D411yescharacteristic
260C22×D4C2412yes—
261C22×D4C2412yes—
262C22×D4C2411yescharacteristic
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—48no—
272C23×C4—48no—
273C23×C4—84no—
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2412yes—
277C2×D8—24no—
278C2×D8—24no—
279C2×D8—24no—
280C2×D8—28no—
281C2×D8—44no—
282C2×D8—44no—
283C22×C8C2412yes—
284C22×C8C2414yes—
285C22×C8C2412yes—
286C4⋊Q8—42no—
287C4⋊Q8—42no—
288C4⋊Q8—44no—
289C4⋊Q8—82no—
290#127—22no—
291#127—22no—
292#127—22no—
293#127#4114yes—
294#124—416no—
295#121—28no—
296#121—24no—
297#121—24no—
298#121—48no—
299#121—48no—
300#121—44no—
301#121—44no—
302#121—84no—
303#120—216no—
304C4×D4—24no—
305C4×D4—24no—
306C4×D4—22no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—22no—
310C4×D4—22no—
311C4×D4—22no—
312C4×D4—24no—
313C4×D4—24no—
314C4×D4—24no—
315C4×D4—22no—
316C4×D4—24no—
317C4×D4—48no—
318C4×D4—42no—
319C4×D4—42no—
320C4×D4—41no—
321C4×D4—48no—
322C4×D4—44no—
323C4×D4—48no—
324C4×D4—44no—
325C4×D4—48no—
326C4×D4—44no—
327C4×D4—44no—
328C4×D4—44no—
329C4×D4—82no—
330C4×D4#4114yes—
331C4×D4#4114yes—
332#117—48no—
333#117—48no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—42no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2411yescharacteristic
354C2×C4⋊C4C2414yes—
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2411yescharacteristic
357C2×C22⋊C4—21no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—48no—
377C2×C22⋊C4—48no—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—24no—
384C2×C42—21no—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42—44no—
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D412yes—
391C2×C42C2×D412yes—
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2412yes—
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397C2×C42C2411yescharacteristic
398#107—24no—
399#106—44no—
400C4⋊C8—24no—
401C4⋊C8—22no—
402C4⋊C8—22no—
403C4⋊C8—24no—
404C4⋊C8—42no—
405#102—24no—
406#102—28no—
407#102—28no—
408#102—24no—
409#102—24no—
410#102—42no—
411#102—44no—
412#102—44no—
413#102—44no—
414C22⋊C8—44no—
415C22⋊C8—44no—
416#97—44no—
417C4×C8—24no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—22no—
422#95—22no—
423#95—24no—
424#95—24no—
425#95C2×D412yes—
426#95C2×D412yes—
427#95C2×D412yes—
428C24—21no—
429C24—28no—
430C24—22no—
431C24—22no—
432C24—44no—
433C24—44no—
434C24—44no—
435C24—44no—
436C24—82no—
437C24—82no—
438C24C22×D412yes—
439C2×Q8—44no—
440C2×Q8—82no—
441C2×Q8—82no—
442C2×D4—28no—
443C2×D4—28no—
444C2×D4—22no—
445C2×D4—24no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—21no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—21no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—21no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—48no—
467C2×D4—48no—
468C2×D4—432no—
469C2×D4—48no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—48no—
473C2×D4—48no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—81no—
481C2×D4—81no—
482C2×D4—84no—
483C2×D4—84no—
484C2×D4AGL(1,ℤ/8)14yes—
485C2×D4C2×#4114yes—
486C2×D4C2×#4112yes—
487C2×D4C2×#4112yes—
488C2×D4H(5,𝔽2)12yes—
489C22×C4—24no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—24no—
507C22×C4—22no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—81no—
528C22×C4—82no—
529C22×C4—82no—
530C22×C4—82no—
531C22×C4—832no—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C2511yescharacteristic
542D8—48no—
543D8—88no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—24no—
548C2×C8—22no—
549C2×C8—24no—
550C2×C8—22no—
551C2×C8—24no—
552C2×C8—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—24no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—81no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4C2×#4112yes—
578C4⋊C4C2×#4112yes—
579C22⋊C4—28no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—42no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—48no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—84no—
600C22⋊C4—84no—
601C42—24no—
602C42—24no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—21no—
608C42—21no—
609C42—41no—
610C42—48no—
611C42—42no—
612C42—42no—
613C42—42no—
614C42AGL(1,ℤ/8)14yes—
615C42C2×#4112yes—
616C42C2×#4112yes—
617C42C2×#4112yes—
618C42H(5,𝔽2)12yes—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—24no—
629C23—416no—
630C23—416no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—41no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—88no—
649C23—88no—
650C23—88no—
651C23—88no—
652C23—88no—
653C23C2×AGL(1,ℤ/8)14yes—
654C23C23×D411yescharacteristic
655Q8—164no—
656D4—28no—
657D4—22no—
658D4—24no—
659D4—22no—
660D4—22no—
661D4—24no—
662D4—416no—
663D4—416no—
664D4—48no—
665D4—42no—
666D4—42no—
667D4—42no—
668D4—42no—
669D4—42no—
670D4—42no—
671D4—84no—
672D4—84no—
673D4—84no—
674D4—168no—
675D4#55514yescomplemented
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—21no—
690C2×C4—22no—
691C2×C4—21no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—21no—
695C2×C4—22no—
696C2×C4—48no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—48no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—48no—
707C2×C4—48no—
708C2×C4—41no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—41no—
712C2×C4—44no—
713C2×C4—41no—
714C2×C4—42no—
715C2×C4—44no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—84no—
721C2×C4—88no—
722C2×C4—88no—
723C2×C4—88no—
724C2×C4—88no—
725C2×C4—88no—
726C2×C4#52512yes—
727C2×C4#52512yes—
728C2×C4#54612yes—
729C2×C4#54612yes—
730C2×C4C2×AGL(1,ℤ/8)12yes—
731C2×C4C2×AGL(1,ℤ/8)12yes—
732C2×C4C2×AGL(1,ℤ/8)12yes—
733C2×C4C2×AGL(1,ℤ/8)12yes—
734C2×C4#57612yes—
735C2×C4C22×#4111yescharacteristic
736C2×C4C22×#4111yescharacteristic
737C2×C4C22×#4111yescharacteristic
738C2×C4C2×H(5,𝔽2)11yescharacteristic
739C2×C4C2×H(5,𝔽2)11yescharacteristic
740C2×C4#58511yescharacteristic
741C8—42no—
742C8—42no—
743C8—44no—
744C22—24no—
745C22—24no—
746C22—24no—
747C22—24no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—42no—
756C22—42no—
757C22—42no—
758C22—44no—
759C22—44no—
760C22—44no—
761C22—832no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22C2×#52511yescharacteristic
774C22C2×#54611yescharacteristic
775C22#348811yescharacteristic
776C22C22×AGL(1,ℤ/8)11yescharacteristic
777C22C22×AGL(1,ℤ/8)11yescharacteristic
778C22C2×#57611yescharacteristic
779C22#358611yescharacteristic
780C4—22no—
781C4—22no—
782C4—22no—
783C4—41no—
784C4—42no—
785C4—42no—
786C4—42no—
787C4—42no—
788C4—42no—
789C4—81no—
790C4—84no—
791C4—82no—
792C4—82no—
793C4#310914yes—
794C4#332514yes—
795C4C2×#55511yescharacteristic
796C4#347511yescharacteristic
797C4#350611yescharacteristic
798C4#351911yescharacteristic
799C2—44no—
800C2—44no—
801C2—84no—
802C2—162no—
803C2#3616011yescharacteristic
804C2C2×#310911yescharacteristic
805C2#6059611yescharacteristic
806C2C2×#332511yescharacteristic
807C2#6116111yescharacteristic
808C2#6196211yescharacteristic
809C2#6197911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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. #36187C2semidirect
2. C4×D42C2semidirect
3. #33197C2semidirect
4. #32902C2semidirect
5. #29139C2semidirect
6. #28251C2semidirect
7. #27627C2semidirect
8. #27243C2semidirect
9. #26737C2semidirect
10. #24967C2semidirect
11. #24658C2semidirect
12. #24236C2semidirect
13. #23099C2semidirect
14. #22799C2semidirect
15. #22758C2semidirect
16. C4×#459C2semidirect
17. #20738C2semidirect
25. C2×#459C22semidirect
28. C2×#432C22semidirect
29. #2868C22semidirect
30. #2856C22semidirect
36. #2491C22semidirect
42. #2354C22semidirect
48. C4×#127C22semidirect
52. #2285C22semidirect
55. #2077C22semidirect
56. #2054C22semidirect
57. #2034C22semidirect
59. #2023C22semidirect
61. #1987C22semidirect
62. #1982C22semidirect
63. #1972C22semidirect
66. #1948C22semidirect
67. #1948C22semidirect
68. #1947C22semidirect
69. #1936C22semidirect
70. #1926C22semidirect
71. #1925C22semidirect
72. #1924C22semidirect
73. #1921C22semidirect
76. #1879C22semidirect
77. #1874C22semidirect
78. #1842C22semidirect
79. #1834C22semidirect
80. #1824C22semidirect
84. #1802C22semidirect
85. #1802C22semidirect
86. #1802C22semidirect
87. #1802C22semidirect
88. #1797C22semidirect
90. #1770C22semidirect
91. C4×C4⋊C8C22semidirect
93. #1762C22semidirect
94. C4×#102C22semidirect
675. D4#555semidirect

Maximal subgroups

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

subgroupindex
#361872
C4×D422
#331972
#329022
#291392
#282512
#276272
#272432
#267372
#249672
#246582
#242362
#230992
#227992
#227582
C4×#4592
#207382