Finite Group Databasebeta

← #6436019

Subgroups — #6436019

Order 512.

1856 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36631C211yesmaximal, characteristic, complemented
2#36631C211yesmaximal, characteristic, complemented
3#30340C214yesmaximal, complemented
4#30320C214yesmaximal, complemented
5#30307C211yesmaximal, characteristic, complemented
6#30260C211yesmaximal, characteristic, complemented
7#30219C211yesmaximal, characteristic, complemented
8#30204C211yesmaximal, characteristic, complemented
9#29844C211yesmaximal, characteristic, complemented
10#29843C211yesmaximal, characteristic, complemented
11#29807C211yesmaximal, characteristic, complemented
12#29806C211yesmaximal, characteristic
13#23680C214yesmaximal, complemented
14#23569C214yesmaximal, complemented
15C4×#493C211yesmaximal, characteristic, complemented
16C4×#492C211yesmaximal, characteristic, complemented
17C4×#487C211yesmaximal, characteristic, complemented
18C4×#486C211yesmaximal, characteristic, complemented
19C4×#431C211yesmaximal, characteristic, complemented
20C2×#529—21no—
21C2×#529C2212yes—
22C2×#493C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×C4×SD16C2214yes—
27C2×C4×D8C2214yes—
28C2×#431C2211yescharacteristic
29C2×#431C2211yescharacteristic
30#2861—21no—
31#2861C2212yes—
32#2860—21no—
33#2860—21no—
34#2860—21no—
35#2860C2212yes—
36#2859C2211yescharacteristic
37#2859C2211yescharacteristic
38#2858C2211yescharacteristic
39#2858C2211yescharacteristic
40#2857C2211yescharacteristic
41#2857C2211yescharacteristic
42#2856C2211yescharacteristic
43#2856C2211yescharacteristic
44#2854—21no—
45#2854—21no—
46#2854—21no—
47#2854C2212yes—
48#2850—21no—
49#2850C2212yes—
50C4×C4⋊Q8C2211yescharacteristic
51C4×C4⋊Q8C2211yescharacteristic
52C4×#127C2211yescharacteristic
53C4×#127C2211yescharacteristic
54C4×#124—21no—
55C4×#124C2212yes—
56C4×#121—21no—
57C4×#121—21no—
58C4×#121—21no—
59C4×#121C2212yes—
60#2293—21no—
61#2293—21no—
62#2293—21no—
63#2293C2212yes—
64C2×C43C2211yescharacteristic
65#2085C2214yes—
66#2073C2214yes—
67#2068C2214yes—
68#2065C2214yes—
69#2059C2214yes—
70#2055C2214yes—
71#2054C2214yes—
72#2042C2214yes—
73#2042C2214yes—
74#2036C2214yes—
75#2034C2214yes—
76#2025C2214yes—
77#2012C2214yes—
78#2012C2214yes—
79#2000C2214yes—
80#1999C2214yes—
81#1990C2211yescharacteristic
82#1990C2211yescharacteristic
83#1970C2214yes—
84#1968C2214yes—
85#1957C2211yescharacteristic
86#1957C2211yescharacteristic
87#1957C2211yescharacteristic
88#1957C2211yescharacteristic
89#1956C2211yescharacteristic
90#1956C2211yescharacteristic
91#1934C2214yes—
92#1933C2214yes—
93#1845C2211yescharacteristic
94#1844C2211yescharacteristic
95#1834C2211yescharacteristic
96#1834C2211yescharacteristic
97C4×C4⋊C8C2212yes—
98C4×C4⋊C8C2212yes—
99C4×#103C2214yes—
100C4×#102C2214yes—
101C4×C22⋊C8C2212yes—
102C4×C22⋊C8C2212yes—
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105C42×C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×SD16C2314yes—
108C22×D8C2314yes—
109C2×C4⋊Q8C2311yescharacteristic
110C2×C4⋊Q8C2311yescharacteristic
111C2×#127C2311yescharacteristic
112C2×#127C2311yescharacteristic
113#529—48no—
114#529—48no—
115C2×#126—22no—
116C2×#126—22no—
117C2×#125—21no—
118C2×#125C2312yes—
119C2×#124—21no—
120C2×#124—21no—
121C2×#124C2312yes—
122C2×#124C2312yes—
123C2×#123—22no—
124C2×#123—22no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8C2312yes—
127C2×#121—21no—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121C2312yes—
132C2×#121C2312yes—
133C2×C4×Q8—21no—
134C2×C4×Q8C2312yes—
135C2×C4×D4—22no—
136C2×C4×D4—22no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4C2312yes—
142C2×C4×D4C2312yes—
143C2×#117—22no—
144C2×#117—22no—
145C22×C42D411yescharacteristic
146C22×C42D411yescharacteristic
147C22×C42D411yescharacteristic
148C22×C42D411yescharacteristic
149C22×C42C2311yescharacteristic
150C22×C42C2311yescharacteristic
151C22×C42C2311yescharacteristic
152#493—24no—
153#492—24no—
154#487—24no—
155#486—24no—
156C4×SD16—48no—
157C4×D8—48no—
158#431—24no—
159#431—24no—
160C2×#107C2314yes—
161C2×#106C2314yes—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C22⋊C8C2312yes—
173C2×C22⋊C8C2312yes—
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2312yes—
177C2×C4×C8C2312yes—
178C2×C4×C8C2312yes—
179C2×C4×C8C2312yes—
180C2×C4×C8C2311yescharacteristic
181C2×C4×C8C2311yescharacteristic
182#391—21no—
183#391—21no—
184#391C2312yes—
185#391C2312yes—
186#390—21no—
187#390—21no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390—21no—
194#390—21no—
195#390—21no—
196#390—21no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390C2312yes—
201#390C2312yes—
202#390C2312yes—
203#390C2312yes—
204#390C2312yes—
205#390C2312yes—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—21no—
212#389—21no—
213#389—21no—
214#389—21no—
215#389—21no—
216#389—21no—
217#389—21no—
218#389C2312yes—
219#389C2312yes—
220#389C2312yes—
221#389C2312yes—
222#388—22no—
223#388—22no—
224#388—22no—
225#388—22no—
226#388—22no—
227#388—22no—
228#388—22no—
229#388—22no—
230#388—22no—
231#388—22no—
232#388—22no—
233#388—22no—
234#388—22no—
235#388—22no—
236#388—22no—
237#388—22no—
238#386—22no—
239#386—22no—
240#386—22no—
241#386—22no—
242#384C2311yescharacteristic
243#384C2311yescharacteristic
244#384C2311yescharacteristic
245#384C2311yescharacteristic
246#382—21no—
247#382C2312yes—
248#380—21no—
249#380—21no—
250#380—21no—
251#380C2312yes—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4C2312yes—
256C4×C22⋊C4—22no—
257C4×C22⋊C4—22no—
258C4×C22⋊C4—22no—
259C4×C22⋊C4—22no—
260C43D411yescharacteristic
261C43D411yescharacteristic
262C43D411yescharacteristic
263C43D411yescharacteristic
264C43C2311yescharacteristic
265C43C2311yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8C2412yes—
278C22×D4—22no—
279C22×D4—22no—
280C22×D4—21no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4C2412yes—
285C22×D4C2412yes—
286C23×C4—22no—
287C23×C4—22no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C2×SD16—28no—
296C2×SD16—44no—
297C2×SD16—44no—
298C2×D8—28no—
299C2×D8—44no—
300C2×D8—44no—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C4⋊Q8—22no—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309#127—22no—
310#127—22no—
311#127—22no—
312#127—22no—
313#126—48no—
314#126—48no—
315#125—44no—
316#125—44no—
317#124—44no—
318#124—44no—
319#124—44no—
320#124—44no—
321#123—48no—
322#123—48no—
323C22⋊Q8—44no—
324C22⋊Q8—44no—
325#121—44no—
326#121—44no—
327#121—44no—
328#121—44no—
329#121—44no—
330#121—44no—
331C4×Q8—28no—
332C4×Q8—44no—
333C4×D4—28no—
334C4×D4—28no—
335C4×D4—48no—
336C4×D4—48no—
337C4×D4—44no—
338C4×D4—44no—
339C4×D4—44no—
340C4×D4—44no—
341#117—48no—
342#117—48no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C42—24no—
390C2×C42—24no—
391C2×C42—24no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—24no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—42no—
398C2×C42—42no—
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C2×C42C2411yescharacteristic
427#107—44no—
428#106—44no—
429C4⋊C8—24no—
430C4⋊C8—24no—
431#103—28no—
432#103—44no—
433#103—44no—
434#102—28no—
435#102—44no—
436#102—44no—
437#102—44no—
438#102—44no—
439C22⋊C8—24no—
440C22⋊C8—24no—
441C4×C8—22no—
442C4×C8—22no—
443C4×C8—24no—
444C4×C8—24no—
445C4×C8—42no—
446C4×C8—42no—
447C4×C8#4114yes—
448C4×C8#4114yes—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95—22no—
461C24—22no—
462C24—22no—
463C24C22×D411yescharacteristic
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—24no—
467C2×Q8—24no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—24no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—44no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4#13514yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C2511yescharacteristic
545SD16—416no—
546D8—416no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8C2×#4114yes—
558C2×C8C2×#4114yes—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—44no—
583C4⋊C4—42no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—21no—
623C42—21no—
624C42—22no—
625C42—22no—
626C42—22no—
627C42—41no—
628C42—41no—
629C42—41no—
630C42—41no—
631C42—44no—
632C42—44no—
633C42#13514yes—
634C42AGL(1,ℤ/8)14yes—
635C42C2×#4112yes—
636C42C2×#4112yes—
637C42H(5,𝔽2)14yes—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23C2×#13512yes—
659C23C23×D411yescharacteristic
660Q8—44no—
661Q8—44no—
662Q8—84no—
663D4—44no—
664D4—44no—
665D4—44no—
666D4—44no—
667D4—88no—
668D4—88no—
669D4—84no—
670D4—84no—
671D4—84no—
672D4—84no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—28no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—88no—
726C2×C4—88no—
727C2×C4#53212yes—
728C2×C4#53212yes—
729C2×C4#53512yes—
730C2×C4#53512yes—
731C2×C4C2×#13512yes—
732C2×C4C2×#13512yes—
733C2×C4C2×#13512yes—
734C2×C4C2×#13512yes—
735C2×C4C2×#13512yes—
736C2×C4C2×AGL(1,ℤ/8)12yes—
737C2×C4C2×AGL(1,ℤ/8)12yes—
738C2×C4C2×AGL(1,ℤ/8)12yes—
739C2×C4#57512yes—
740C2×C4C22×#4111yescharacteristic
741C2×C4C22×#4111yescharacteristic
742C2×C4C2×H(5,𝔽2)12yes—
743C2×C4#58512yes—
744C8—24no—
745C8—24no—
746C8—42no—
747C8—42no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—41no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—82no—
769C22C2×#53211yescharacteristic
770C22C2×#53511yescharacteristic
771C22#344911yescharacteristic
772C22C22×#13511yescharacteristic
773C22C22×#13511yescharacteristic
774C22C22×AGL(1,ℤ/8)11yescharacteristic
775C22C2×#57511yescharacteristic
776C4—22no—
777C4—22no—
778C4—22no—
779C4—22no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—41no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4#316814yes—
793C4#317114yes—
794C4#320714yes—
795C4#346012yes—
796C4#346012yes—
797C2—42no—
798C2—162no—
799C2—162no—
800C2#3462411yescharacteristic
801C2C2×#316811yescharacteristic
802C2C2×#317111yescharacteristic
803C2C2×#320711yescharacteristic
804C2#6078211yescharacteristic
805C2#6094411yescharacteristic
806C2#6094611yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
prime radical#29806C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ 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. #36631C2semidirect
3. #30340C2semidirect
4. #30320C2semidirect
5. #30307C2semidirect
6. #30260C2semidirect
7. #30219C2semidirect
8. #30204C2semidirect
9. #29844C2semidirect
10. #29843C2semidirect
11. #29807C2semidirect
13. #23680C2semidirect
14. #23569C2semidirect
15. C4×#493C2semidirect
16. C4×#492C2semidirect
17. C4×#487C2semidirect
18. C4×#486C2semidirect
19. C4×#431C2semidirect

Maximal subgroups

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

subgroupindex
#366312
#303402
#303202
#303072
#302602
#302192
#302042
#298442
#298432
#298072
#298062
#236802
#235692
C4×#4932
C4×#4922
C4×#4872
C4×#4862
C4×#4312