Finite Group Databasebeta

← #6763402

Subgroups — #6763402

Order 512.

1705 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36181C211yesmaximal, characteristic
2#36129C211yesmaximal, characteristic
3#33043C211yesmaximal, characteristic, complemented
4#31841C214yesmaximal, complemented
5#31635C214yesmaximal, complemented
6#30206C211yesmaximal, characteristic, complemented
7#29808C211yesmaximal, characteristic, complemented
8#29144C211yesmaximal, characteristic, complemented
9#28616C211yesmaximal, characteristic, complemented
10#27975C211yesmaximal, characteristic, complemented
11#27960C211yesmaximal, characteristic, complemented
12#25722C211yesmaximal, characteristic, complemented
13#25600C211yesmaximal, characteristic, complemented
14#24529C214yesmaximal, complemented
15#23967C214yesmaximal
16#22270C211yesmaximal, characteristic, complemented
17#21864C211yesmaximal, characteristic, complemented
18C2×#1956C211yesmaximal, characteristic, complemented
19#21101C211yesmaximal, characteristic
20C2×#552C2212yes—
21C2×#533C2211yescharacteristic
22C22×C4⋊Q8C2211yescharacteristic
23C2×#494C2211yescharacteristic
24C2×#494C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#451C2214yes—
27C2×#431C2211yescharacteristic
28C22×#103C2214yes—
29C22×C4×C8C2211yescharacteristic
30#2862C2211yescharacteristic
31#2859C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2565C2212yes—
37#2550—21no—
38#2506—21no—
39#2506—21no—
40#2503C2212yes—
41#2499C2212yes—
42#2496—21no—
43#2496—21no—
44#2492—21no—
45#2486—21no—
46#2486—21no—
47#2451—21no—
48#2446C2212yes—
49#2442—21no—
50#2439—21no—
51#2429C2212yes—
52#2417—21no—
53#2409C2212yes—
54#2360—21no—
55#2352—21no—
56#2344—21no—
57#2344—21no—
58Q8×C22⋊C4C2212yes—
59C4×C4⋊Q8C2211yescharacteristic
60C4×C4⋊Q8C2211yescharacteristic
61#2285C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2099C2214yes—
65#2074C2214yes—
66#2074C2214yes—
67#2056C2214yes—
68#2056C2214yes—
69#2026C2214yes—
70#2026C2214yes—
71#2016C2214yes—
72#2001C2214yes—
73#2001C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1956C2211yescharacteristic
78#1956C2211yescharacteristic
79#1956C2211yescharacteristic
80#1956C2211yescharacteristic
81#1956C2214yes—
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1933C2214yes—
86#1923C2212yes—
87#1916C2212yes—
88#1892C2214yes—
89#1878C2214yes—
90#1878C2214yes—
91#1878C2214yes—
92#1878C2214yes—
93#1873C2214yes—
94#1873C2214yes—
95#1869C2212yes—
96#1850C2212yes—
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1834C2211yescharacteristic
100#1823C2214yes—
101#1805C2214yes—
102#1805C2214yes—
103C4×C4⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106#1744C2211yescharacteristic
107C23×Q8C2312yes—
108C22×Q16C2314yes—
109C22×Q16C2314yes—
110C23×C8C2312yes—
111#552—48no—
112#533—24no—
113#533—42no—
114C2×C4⋊Q8—24no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—42no—
118C2×C4⋊Q8C2311yescharacteristic
119C2×C4⋊Q8C2311yescharacteristic
120C2×C4⋊Q8C2312yes—
121C2×C4⋊Q8C2311yescharacteristic
122C2×C4⋊Q8C2311yescharacteristic
123C2×#126—22no—
124C2×#125—22no—
125C2×#125—21no—
126C2×#125C2312yes—
127C2×#123—22no—
128C2×C22⋊Q8—21no—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8C2312yes—
131C2×C22⋊Q8C2312yes—
132C2×C22⋊Q8C2312yes—
133C2×C22⋊Q8C2312yes—
134C2×C4×Q8—21no—
135C2×C4×Q8C2312yes—
136C2×C4×Q8C2312yes—
137C2×C4×Q8C2312yes—
138C2×C4×D4D411yescharacteristic
139C2×C4×D4D411yescharacteristic
140C2×C4×D4C2311yescharacteristic
141C2×#117—21no—
142C2×#117—22no—
143C2×#117C2312yes—
144C22×C4⋊C4—21no—
145C22×C4⋊C4—21no—
146C22×C4⋊C4—21no—
147C22×C4⋊C4—21no—
148C22×C4⋊C4C2312yes—
149C22×C42C2311yescharacteristic
150C22×C42C2311yescharacteristic
151#494—24no—
152#494—42no—
153#487—42no—
154#451—48no—
155#431—42no—
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2312yes—
158C2×#103—48no—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2312yes—
170C2×C4×C8—42no—
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2312yes—
176#400—22no—
177#400—22no—
178#400—22no—
179#398—22no—
180#398—22no—
181#398—22no—
182#398—22no—
183#397—22no—
184#397—22no—
185#396—22no—
186#395—22no—
187#393—22no—
188#391—21no—
189#391—21no—
190#391—21no—
191#391—22no—
192#391—22no—
193#391C2312yes—
194#391C2312yes—
195#391C2312yes—
196#391C2312yes—
197#391C2312yes—
198#391C2312yes—
199#391C2312yes—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
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#389—21no—
214#389—21no—
215#389—22no—
216#389C2312yes—
217#388—22no—
218#387—22no—
219#387—22no—
220#387—22no—
221#387—22no—
222#387—22no—
223#387—22no—
224#386—22no—
225#385—22no—
226#384—21no—
227#384—21no—
228#384C2311yescharacteristic
229#384C2311yescharacteristic
230#384C2312yes—
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#382—21no—
234#382—21no—
235#382C2312yes—
236#382C2312yes—
237#381—22no—
238#381—22no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—21no—
248#380—22no—
249#380C2312yes—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4C2311yescharacteristic
259C4×C22⋊C4—22no—
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4C2311yescharacteristic
265C4×C22⋊C4C2311yescharacteristic
266C43C2311yescharacteristic
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278C22×Q8—21no—
279C22×Q8—22no—
280C22×Q8—24no—
281C22×Q8—28no—
282C22×Q8—42no—
283C22×Q8—44no—
284C22×Q8C2412yes—
285C22×Q8C2412yes—
286C22×Q8C2412yes—
287C22×D4C2×D411yescharacteristic
288C23×C4—22no—
289C23×C4—22no—
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2411yescharacteristic
295C23×C4C2411yescharacteristic
296C2×Q16—28no—
297C2×Q16—44no—
298C2×Q16—44no—
299C2×Q16—44no—
300C2×Q16—44no—
301C2×Q16—44no—
302C22×C8—24no—
303C22×C8—42no—
304C22×C8—42no—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C22×C8C2412yes—
309C4⋊Q8—24no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315C4⋊Q8—22no—
316C4⋊Q8—22no—
317C4⋊Q8—44no—
318C4⋊Q8—44no—
319C4⋊Q8—42no—
320C4⋊Q8#4114yes—
321#126—48no—
322#125—44no—
323#125—44no—
324#125—48no—
325#123—48no—
326C22⋊Q8—24no—
327C22⋊Q8—28no—
328C22⋊Q8—42no—
329C22⋊Q8—44no—
330C22⋊Q8—44no—
331C22⋊Q8—44no—
332C22⋊Q8—44no—
333C4×Q8—24no—
334C4×Q8—42no—
335C4×Q8—44no—
336C4×Q8—44no—
337C4×Q8—44no—
338C4×D4—24no—
339C4×D4—24no—
340C4×D4—24no—
341#117—48no—
342#117—44no—
343#117—44no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—28no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—44no—
376C2×C4⋊C4—44no—
377C2×C4⋊C4—44no—
378C2×C4⋊C4—44no—
379C2×C4⋊C4C2×D411yescharacteristic
380C2×C4⋊C4C2×D411yescharacteristic
381C2×C4⋊C4C2×D411yescharacteristic
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2412yes—
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⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
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×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C4⋊C8—42no—
421C4⋊C8—42no—
422#103—44no—
423#103—44no—
424#103—44no—
425#103—44no—
426#103—44no—
427#103—44no—
428#103—44no—
429#103—44no—
430C22⋊C8—24no—
431C22⋊C8—42no—
432C22⋊C8—42no—
433C4×C8—22no—
434C4×C8—22no—
435C4×C8—22no—
436C4×C8—22no—
437C4×C8—42no—
438#95—22no—
439#95—22no—
440#95—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#95—22no—
456#95—22no—
457#95—22no—
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464C24C22×D411yescharacteristic
465C24C22×D411yescharacteristic
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—24no—
470C2×Q8—24no—
471C2×Q8—22no—
472C2×Q8—24no—
473C2×Q8—22no—
474C2×Q8—24no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—44no—
478C2×Q8—416no—
479C2×Q8—44no—
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—42no—
483C2×Q8—82no—
484C2×Q8—88no—
485C2×Q8C2×#4114yes—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
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—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—22no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—82no—
520C22×C4#13514yes—
521C22×C4#13714yes—
522C22×C4C22×D411yescharacteristic
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×C4H(5,𝔽2)14yes—
535C22×C4C2511yescharacteristic
536Q16—88no—
537Q16—88no—
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×C8—22no—
549C2×C8—22no—
550C2×C8—48no—
551C4⋊C4—22no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—82no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—21no—
611C42—21no—
612C42—21no—
613C42—21no—
614C42—22no—
615C42—22no—
616C42—44no—
617C42—44no—
618C42—44no—
619C42—82no—
620C42C2×#4112yes—
621C42H(5,𝔽2)12yes—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23#53512yes—
634C23C2×#13512yes—
635C23C2×#13712yes—
636C23C23×D411yescharacteristic
637Q8—28no—
638Q8—44no—
639Q8—44no—
640Q8—44no—
641Q8—44no—
642Q8—44no—
643Q8—88no—
644Q8—84no—
645D4—44no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—28no—
655C2×C4—28no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—24no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
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—88no—
706C2×C4—88no—
707C2×C4#53512yes—
708C2×C4#54612yes—
709C2×C4#54612yes—
710C2×C4C2×#13512yes—
711C2×C4C2×#13512yes—
712C2×C4C2×#13712yes—
713C2×C4C2×#13712yes—
714C2×C4#57812yes—
715C2×C4#57812yes—
716C2×C4C22×#4111yescharacteristic
717C2×C4C2×H(5,𝔽2)12yes—
718C2×C4C2×H(5,𝔽2)11yescharacteristic
719C2×C4#58512yes—
720C8—42no—
721C8—42no—
722C8—42no—
723C8—42no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22#321014yes—
738C22C2×#53511yescharacteristic
739C22C2×#54611yescharacteristic
740C22#350011yescharacteristic
741C22C22×#13511yescharacteristic
742C22C22×#13711yescharacteristic
743C22C2×#57811yescharacteristic
744C22C2×#57811yescharacteristic
745C4—22no—
746C4—22no—
747C4—22no—
748C4—41no—
749C4—41no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—44no—
755C4—41no—
756C4—82no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4#330014yes—
764C4#331214yes—
765C4#351312yes—
766C4#354212yes—
767C2—24no—
768C2—81no—
769C2#3808211yescharacteristic
770C2C2×#321011yescharacteristic
771C2#6082111yescharacteristic
772C2C2×#330011yescharacteristic
773C2C2×#331211yescharacteristic
774C2#6252811yescharacteristic
775C2#6253611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×D4C2×D4
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
3. #33043C2semidirect
4. #31841C2semidirect
5. #31635C2semidirect
6. #30206C2semidirect
7. #29808C2semidirect
8. #29144C2semidirect
9. #28616C2semidirect
10. #27975C2semidirect
11. #27960C2semidirect
12. #25722C2semidirect
13. #25600C2semidirect
14. #24529C2semidirect
16. #22270C2semidirect
17. #21864C2semidirect
18. C2×#1956C2semidirect

Maximal subgroups

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

subgroupindex
#361812
#361292
#330432
#318412
#316352
#302062
#298082
#291442
#286162
#279752
#279602
#257222
#256002
#245292
#239672
#222702
#218642
C2×#19562
#211012