Finite Group Databasebeta

← #6850652

Subgroups — #6850652

Order 512.

1673 conjugacy classes of subgroups.

The subgroup lattice has 805 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36211C211yesmaximal, characteristic, complemented
2#36182C211yesmaximal, characteristic, complemented
3#33291C211yesmaximal, characteristic, complemented
4#32061C214yesmaximal, complemented
5#32056C214yesmaximal, complemented
6#29806C211yesmaximal, characteristic, complemented
7#29806C211yesmaximal, characteristic, complemented
8#29143C211yesmaximal, characteristic, complemented
9#28514C211yesmaximal, characteristic, complemented
10#27974C211yesmaximal, characteristic, complemented
11#27973C211yesmaximal, characteristic, complemented
12#27891C211yesmaximal, characteristic, complemented
13#27890C211yesmaximal, characteristic, complemented
14#24684C214yesmaximal, complemented
15#24124C214yesmaximal, complemented
16#21984C211yesmaximal, characteristic, complemented
17#21982C211yesmaximal, characteristic, complemented
18C4×#493C211yesmaximal, characteristic, complemented
19#21264C211yesmaximal, characteristic, complemented
20C2×#553C2212yes—
21C2×#493C2211yescharacteristic
22C2×#478C2214yes—
23C2×C4×D8C2214yes—
24C2×#431C2211yescharacteristic
25C2×#431C2211yescharacteristic
26#2859C2211yescharacteristic
27#2859C2211yescharacteristic
28#2856C2211yescharacteristic
29#2856C2211yescharacteristic
30#2856C2211yescharacteristic
31#2856C2211yescharacteristic
32#2566C2212yes—
33#2535C2212yes—
34#2513—21no—
35#2513—21no—
36#2512—21no—
37#2512—21no—
38#2504C2212yes—
39#2500C2212yes—
40#2490C2212yes—
41#2490C2212yes—
42#2422—21no—
43#2422—21no—
44#2420—21no—
45#2420—21no—
46#2416—21no—
47#2416—21no—
48#2414—21no—
49#2414—21no—
50#2363—21no—
51#2363—21no—
52#2361—21no—
53#2361—21no—
54#2357C2212yes—
55C4×#127C2211yescharacteristic
56C4×#127C2211yescharacteristic
57#2285C2211yescharacteristic
58#2285C2211yescharacteristic
59#2285C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2092C2214yes—
63#2073C2214yes—
64#2071C2214yes—
65#2054C2214yes—
66#2054C2214yes—
67#2034C2214yes—
68#2033C2214yes—
69#2025C2214yes—
70#1999C2214yes—
71#1999C2214yes—
72#1991C2214yes—
73#1991C2214yes—
74#1970C2214yes—
75#1957C2211yescharacteristic
76#1957C2211yescharacteristic
77#1957C2211yescharacteristic
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1954C2212yes—
82#1949C2214yes—
83#1947C2214yes—
84#1939C2212yes—
85#1926C2214yes—
86#1925C2214yes—
87#1923C2212yes—
88#1923C2212yes—
89#1875C2214yes—
90#1874C2214yes—
91#1854C2214yes—
92#1852C2214yes—
93#1845C2211yescharacteristic
94#1845C2211yescharacteristic
95#1844C2211yescharacteristic
96#1834C2211yescharacteristic
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1834C2211yescharacteristic
100#1834C2211yescharacteristic
101#1834C2211yescharacteristic
102#1804C2214yes—
103C4×C4⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×D8C2314yes—
108#553—48no—
109C2×#127C2311yescharacteristic
110C2×#127C2311yescharacteristic
111C2×#126—22no—
112C2×#125C2312yes—
113C2×#125C2312yes—
114C2×#123—22no—
115C2×#121—22no—
116C2×#121—21no—
117C2×#121—21no—
118C2×#121—21no—
119C2×#121—21no—
120C2×#121—21no—
121C2×#121—21no—
122C2×#121—21no—
123C2×#121—21no—
124C2×#121C2312yes—
125C2×#121C2312yes—
126C2×#121C2312yes—
127C2×#121C2312yes—
128C2×C4×D4—22no—
129C2×C4×D4—21no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4D411yescharacteristic
134C2×C4×D4D411yescharacteristic
135C2×C4×D4C2312yes—
136C2×C4×D4C2312yes—
137C2×C4×D4C2311yescharacteristic
138C2×#117—21no—
139C2×#117—21no—
140C2×#117C2312yes—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4C2312yes—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#493—24no—
147#478—48no—
148C4×D8—48no—
149#431—24no—
150#431—24no—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#106C2314yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2312yes—
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2312yes—
171C2×C4×C8C2312yes—
172C2×C4×C8C2311yescharacteristic
173#397—22no—
174#397—22no—
175#397—22no—
176#397—22no—
177#397—22no—
178#396—22no—
179#396—22no—
180#394—22no—
181#394—22no—
182#394—22no—
183#394—22no—
184#392—22no—
185#390—22no—
186#390—22no—
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#390C2312yes—
200#390C2312yes—
201#390C2312yes—
202#390C2312yes—
203#390C2312yes—
204#390C2312yes—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—21no—
212#389—21no—
213#388—22no—
214#388—22no—
215#388—22no—
216#388—22no—
217#388—22no—
218#388—22no—
219#386—22no—
220#386—22no—
221#386—22no—
222#386—22no—
223#385—22no—
224#385—22no—
225#384—21no—
226#384—21no—
227#384C2311yescharacteristic
228#384C2311yescharacteristic
229#384C2312yes—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#384C2311yescharacteristic
234#382—21no—
235#382—21no—
236#382C2312yes—
237#382C2312yes—
238#382C2312yes—
239#381—22no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380C2312yes—
245#380C2312yes—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4C2312yes—
253C4×C4⋊C4C2312yes—
254C4×C4⋊C4C2311yescharacteristic
255C4×C22⋊C4—22no—
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4C2311yescharacteristic
261C4×C22⋊C4C2311yescharacteristic
262C43C2311yescharacteristic
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#336C2312yes—
270#336C2312yes—
271#336C2312yes—
272C22×D4—22no—
273C22×D4—22no—
274C22×D4—22no—
275C22×D4—22no—
276C22×D4—21no—
277C22×D4—21no—
278C22×D4—21no—
279C22×D4—21no—
280C22×D4C2×D411yescharacteristic
281C22×D4C2412yes—
282C22×D4C2412yes—
283C23×C4—22no—
284C23×C4—22no—
285C23×C4—22no—
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2411yescharacteristic
291C23×C4C2411yescharacteristic
292C2×D8—28no—
293C2×D8—44no—
294C2×D8—44no—
295C22×C8C2412yes—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C22×C8C2412yes—
299#127—22no—
300#127—22no—
301#127—22no—
302#127—22no—
303#126—48no—
304#125—28no—
305#125—44no—
306#123—48no—
307#121—44no—
308#121—44no—
309#121—44no—
310#121—44no—
311#121—48no—
312#121—44no—
313#121—44no—
314#121—44no—
315#121—44no—
316#121—82no—
317#121—82no—
318#121—82no—
319#121—82no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—28no—
323C4×D4—28no—
324C4×D4—42no—
325C4×D4—48no—
326C4×D4—82no—
327C4×D4—82no—
328C4×D4—82no—
329C4×D4—82no—
330#117—44no—
331#117—82no—
332#117—82no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—82no—
354C2×C4⋊C4—82no—
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
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⋊C4C2×D411yescharacteristic
386C2×C22⋊C4C2×D411yescharacteristic
387C2×C22⋊C4C2×D411yescharacteristic
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411#107—44no—
412#107—44no—
413#106—44no—
414C4⋊C8—24no—
415C4⋊C8—24no—
416C4⋊C8—24no—
417#102—44no—
418#102—44no—
419#102—44no—
420#102—44no—
421#102—44no—
422#102—44no—
423C22⋊C8—24no—
424C22⋊C8—24no—
425C22⋊C8—42no—
426C22⋊C8—42no—
427C4×C8—22no—
428C4×C8—22no—
429C4×C8—24no—
430C4×C8—22no—
431C4×C8—42no—
432C4×C8#4114yes—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95C2×D411yescharacteristic
444#95C2×D411yescharacteristic
445#95C2×D411yescharacteristic
446#95C2×D411yescharacteristic
447#95C2×D411yescharacteristic
448#95C2×D411yescharacteristic
449C24—22no—
450C24—22no—
451C24C22×D411yescharacteristic
452C24C22×D411yescharacteristic
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—24no—
458C2×D4—24no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—41no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—82no—
483C2×D4—82no—
484C2×D4—82no—
485C2×D4—82no—
486C2×D4—82no—
487C2×D4—82no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4—82no—
519C22×C4—82no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4#13514yes—
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×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C2511yescharacteristic
536D8—416no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8C2×#4114yes—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—41no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—41no—
582C22⋊C4—41no—
583C22⋊C4—44no—
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—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—21no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—22no—
617C42—44no—
618C42—82no—
619C42—82no—
620C42C2×#4112yes—
621C42H(5,𝔽2)14yes—
622C422−1+412yes—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
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—42no—
649C23—42no—
650C23C2×#13512yes—
651C23C23×D411yescharacteristic
652D4—44no—
653D4—44no—
654D4—44no—
655D4—44no—
656D4—44no—
657D4—88no—
658D4—84no—
659D4—84no—
660D4—84no—
661D4—84no—
662D4—164no—
663D4—164no—
664D4—164no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—28no—
672C2×C4—21no—
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—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—21no—
692C2×C4—21no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
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—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—164no—
719C2×C4—164no—
720C2×C4—164no—
721C2×C4#53512yes—
722C2×C4#53512yes—
723C2×C4#54712yes—
724C2×C4#54712yes—
725C2×C4C2×#13512yes—
726C2×C4C2×#13512yes—
727C2×C4#57512yes—
728C2×C4#57612yes—
729C2×C4#57612yes—
730C2×C4C22×#4111yescharacteristic
731C2×C4C2×H(5,𝔽2)12yes—
732C2×C4C2×2−1+411yescharacteristic
733C2×C4#58512yes—
734C8—24no—
735C8—42no—
736C8—42no—
737C8—42no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22C2×#53511yescharacteristic
767C22C2×#54711yescharacteristic
768C22#350011yescharacteristic
769C22C22×#13511yescharacteristic
770C22C2×#57511yescharacteristic
771C22C2×#57611yescharacteristic
772C22C2×#57611yescharacteristic
773C4—22no—
774C4—22no—
775C4—22no—
776C4—41no—
777C4—41no—
778C4—41no—
779C4—41no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4#333914yes—
790C4#335514yes—
791C4#350612yes—
792C4#354712yes—
793C2—42no—
794C2—81no—
795C2—162no—
796C2—162no—
797C2#3949111yescharacteristic
798C2#6078211yescharacteristic
799C2#6081711yescharacteristic
800C2C2×#333911yescharacteristic
801C2C2×#335511yescharacteristic
802C2#6252711yescharacteristic
803C2#6254611yescharacteristic
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. #36211C2semidirect
2. #36182C2semidirect
3. #33291C2semidirect
4. #32061C2semidirect
5. #32056C2semidirect
6. #29806C2semidirect
7. #29806C2semidirect
8. #29143C2semidirect
9. #28514C2semidirect
10. #27974C2semidirect
11. #27973C2semidirect
12. #27891C2semidirect
13. #27890C2semidirect
14. #24684C2semidirect
15. #24124C2semidirect
16. #21984C2semidirect
17. #21982C2semidirect
18. C4×#493C2semidirect
19. #21264C2semidirect

Maximal subgroups

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

subgroupindex
#362112
#361822
#332912
#320612
#320562
#298062
#291432
#285142
#279742
#279732
#278912
#278902
#246842
#241242
#219842
#219822
C4×#4932
#212642