Finite Group Databasebeta

← #6614696

Subgroups — #6614696

Order 512.

1671 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic, complemented
2#36150C211yesmaximal, characteristic
3#33277C211yesmaximal, characteristic, complemented
4#33210C211yesmaximal, characteristic, complemented
5#33048C211yesmaximal, characteristic, complemented
6#29179C211yesmaximal, characteristic, complemented
7#28957C214yesmaximal, complemented
8#28654C211yesmaximal, characteristic, complemented
9#28072C214yesmaximal, complemented
10#27909C211yesmaximal, characteristic, complemented
11#27877C211yesmaximal, characteristic, complemented
12#25812C211yesmaximal, characteristic, complemented
13#25673C211yesmaximal, characteristic, complemented
14#25258C214yesmaximal, complemented
15#22941C214yesmaximal, complemented
16C4×#500C211yesmaximal, characteristic, complemented
17#21410C211yesmaximal, characteristic, complemented
18#21322C211yesmaximal, characteristic, complemented
19C4×#436C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#532C2211yescharacteristic
22C2×#500C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#480C2214yes—
26C2×#436C2212yes—
27C2×C4×M16C2211yescharacteristic
28C2×C4×M16C2211yescharacteristic
29#2859C2211yescharacteristic
30#2858C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2856C2211yescharacteristic
35#2570—21no—
36#2540—21no—
37#2511—21no—
38#2507C2212yes—
39#2497C2212yes—
40#2490C2212yes—
41#2487C2212yes—
42#2454C2212yes—
43#2448—21no—
44#2442—21no—
45#2441—21no—
46#2427—21no—
47#2426—21no—
48#2426—21no—
49#2423—21no—
50#2417—21no—
51#2414C2212yes—
52#2407—21no—
53#2367—21no—
54#2363C2212yes—
55#2360—21no—
56#2352—21no—
57#2345C2212yes—
58#2341—21no—
59C4×C4⋊Q8C2211yescharacteristic
60C4×C4⋊Q8C2211yescharacteristic
61#2285C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2093C2214yes—
65#2087C2214yes—
66#2075C2214yes—
67#2065C2214yes—
68#2059C2214yes—
69#2033C2214yes—
70#1992C2214yes—
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1943C2214yes—
82#1942C2214yes—
83#1936C2214yes—
84#1934C2214yes—
85#1934C2214yes—
86#1926C2214yes—
87#1921C2214yes—
88#1918C2214yes—
89#1895C2214yes—
90#1895C2214yes—
91#1862C2214yes—
92#1854C2214yes—
93#1845C2211yescharacteristic
94#1845C2211yescharacteristic
95#1834C2211yescharacteristic
96#1809C2214yes—
97C4×#107C2214yes—
98#1770C2212yes—
99C4×C4⋊C8C2211yescharacteristic
100#1762C2214yes—
101#1753C2212yes—
102#1753C2212yes—
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105#1736C2214yes—
106C42×C8C2211yescharacteristic
107C22×#41—21no—
108C22×M16C2312yes—
109C22×M16C2312yes—
110#533—24no—
111#533—42no—
112#532—24no—
113#532—42no—
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×#127C2311yescharacteristic
118C2×#125—21no—
119C2×#125C2312yes—
120C2×#124—21no—
121C2×#124—21no—
122C2×#124—21no—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—21no—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121C2312yes—
132C2×#121C2312yes—
133C2×C4×Q8—21no—
134C2×C4×Q8—21no—
135C2×C4×Q8—21no—
136C2×C4×Q8—21no—
137C2×C4×D4—21no—
138C2×C4×D4D411yescharacteristic
139C2×C4×D4D411yescharacteristic
140C2×C4×D4C2312yes—
141C2×C4×D4C2311yescharacteristic
142C2×#117—21no—
143C2×#117C2312yes—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4C2312yes—
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#500—24no—
150#498—42no—
151#486—42no—
152#480—216no—
153#436—28no—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×#107C2314yes—
157C2×#106C2314yes—
158C2×C4⋊C8C2312yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C4×M16—42no—
166C4×M16—42no—
167C2×#97C2312yes—
168C2×#97C2312yes—
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2312yes—
174C2×C4×C8C2312yes—
175#400—22no—
176#400—22no—
177#399—22no—
178#399—22no—
179#398—22no—
180#398—22no—
181#397—22no—
182#396—22no—
183#396—22no—
184#394—22no—
185#394—22no—
186#392—22no—
187#391—21no—
188#391—21no—
189#391—21no—
190#391—21no—
191#391—21no—
192#390—22no—
193#390—22no—
194#390—22no—
195#390—21no—
196#390—21no—
197#390—21no—
198#390—21no—
199#390C2312yes—
200#390C2312yes—
201#390C2312yes—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—22no—
210#389C2312yes—
211#389C2312yes—
212#389C2312yes—
213#389C2312yes—
214#389C2312yes—
215#389C2312yes—
216#389C2312yes—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#387—22no—
222#387—22no—
223#387—22no—
224#387—22no—
225#386—22no—
226#386—22no—
227#385—22no—
228#385—22no—
229#384—21no—
230#384—21no—
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#384C2312yes—
236#382—21no—
237#382—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—22no—
243#380—22no—
244#380C2312yes—
245#380C2312yes—
246#380C2312yes—
247#380C2312yes—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4D411yescharacteristic
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2312yes—
255C4×C4⋊C4C2312yes—
256C4×C4⋊C4C2311yescharacteristic
257C4×C22⋊C4—22no—
258C4×C22⋊C4—22no—
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264C4×C22⋊C4C2311yescharacteristic
265C43C2311yescharacteristic
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277C2×#41—44no—
278C2×#41—44no—
279C2×#41—82no—
280C22×Q8—21no—
281C22×Q8—21no—
282C22×Q8—21no—
283C22×D4—22no—
284C22×D4—22no—
285C22×D4—21no—
286C22×D4—21no—
287C22×D4C2×D411yescharacteristic
288C22×D4C2412yes—
289C23×C4—22no—
290C23×C4—22no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2411yescharacteristic
296C23×C4C2411yescharacteristic
297C2×M16—24no—
298C2×M16—24no—
299C2×M16—24no—
300C2×M16—24no—
301C2×M16—42no—
302C2×M16—42no—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8#4114yes—
313#127—22no—
314#127—22no—
315#125—24no—
316#125—42no—
317#125—82no—
318#124—44no—
319#124—44no—
320#124—82no—
321C22⋊Q8—44no—
322C22⋊Q8—44no—
323C22⋊Q8—44no—
324C22⋊Q8—82no—
325C22⋊Q8—82no—
326#121—28no—
327#121—24no—
328#121—42no—
329#121—44no—
330#121—82no—
331#121—82no—
332C4×Q8—44no—
333C4×Q8—44no—
334C4×Q8—82no—
335C4×Q8—82no—
336C4×D4—24no—
337C4×D4—24no—
338C4×D4—24no—
339C4×D4—42no—
340C4×D4—44no—
341C4×D4—42no—
342#117—24no—
343#117—42no—
344#117—82no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—28no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
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—22no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—82no—
370C2×C4⋊C4—82no—
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2412yes—
380C2×C4⋊C4C2412yes—
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×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
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×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422#107—28no—
423#107—28no—
424#107—28no—
425#106—44no—
426C4⋊C8—24no—
427#102—28no—
428#102—28no—
429#102—28no—
430#102—44no—
431C22⋊C8—24no—
432C22⋊C8#4118yescomplemented
433#97—42no—
434#97—42no—
435C4×C8—24no—
436C4×C8—24no—
437C4×C8—22no—
438C4×C8—22no—
439C4×C8—22no—
440C4×C8—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461C24—22no—
462C24C22×D411yescharacteristic
463C24C22×D411yescharacteristic
464#41—816no—
465C2×Q8—24no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—24no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—24no—
480C2×D4—41no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—82no—
491C2×D4—82no—
492C2×D4—82no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
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—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C2×#4114yes—
538C22×C4C2511yescharacteristic
539M16—48no—
540M16—48no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8C2×#4114yes—
551C2×C8C2×#4114yes—
552C2×C82−1+414yes—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—24no—
565C4⋊C4—41no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4C2×#4114yes—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4—82no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—21no—
618C42—21no—
619C42—21no—
620C42—21no—
621C42—22no—
622C42—44no—
623C42—82no—
624C42—82no—
625C42—82no—
626C42#13714yes—
627C42C2×#4112yes—
628C42H(5,𝔽2)12yes—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23#53212yes—
650C23C23×D411yescharacteristic
651Q8—48no—
652Q8—84no—
653Q8—84no—
654D4—44no—
655D4—44no—
656D4—44no—
657D4—88no—
658D4—84no—
659D4—84no—
660D4—164no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—24no—
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—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
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—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—88no—
718C2×C4—164no—
719C2×C4#53212yes—
720C2×C4#54612yes—
721C2×C4#54612yes—
722C2×C4C2×#13712yes—
723C2×C4C2×#13712yes—
724C2×C4C2×#13712yes—
725C2×C4#57512yes—
726C2×C4#57612yes—
727C2×C4#57612yes—
728C2×C4C22×#4111yescharacteristic
729C2×C4C22×#4112yes—
730C2×C4C2×H(5,𝔽2)11yescharacteristic
731C2×C4C2×2−1+412yes—
732C8—24no—
733C8—24no—
734C8—24no—
735C8—42no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22C2×#53211yescharacteristic
758C22C2×#54611yescharacteristic
759C22#349911yescharacteristic
760C22C22×#13711yescharacteristic
761C22C2×#57511yescharacteristic
762C22C2×#57611yescharacteristic
763C22C2×#57611yescharacteristic
764C4—22no—
765C4—22no—
766C4—22no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—44no—
773C4—41no—
774C4—41no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4#332214yes—
782C4#333314yes—
783C4#348212yes—
784C4#352012yes—
785C2—42no—
786C2—81no—
787C2—162no—
788C2#3637611yescharacteristic
789C2#6070111yescharacteristic
790C2#6071411yescharacteristic
791C2C2×#332211yescharacteristic
792C2C2×#333311yescharacteristic
793C2#6248011yescharacteristic
794C2#6248111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36150C2
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. #36189C2semidirect
3. #33277C2semidirect
4. #33210C2semidirect
5. #33048C2semidirect
6. #29179C2semidirect
7. #28957C2semidirect
8. #28654C2semidirect
9. #28072C2semidirect
10. #27909C2semidirect
11. #27877C2semidirect
12. #25812C2semidirect
13. #25673C2semidirect
14. #25258C2semidirect
15. #22941C2semidirect
16. C4×#500C2semidirect
17. #21410C2semidirect
18. #21322C2semidirect
19. C4×#436C2semidirect
432. C22⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
#361892
#361502
#332772
#332102
#330482
#291792
#289572
#286542
#280722
#279092
#278772
#258122
#256732
#252582
#229412
C4×#5002
#214102
#213222
C4×#4362