Finite Group Databasebeta

← #626409

Subgroups — #626409

Order 512.

4400 conjugacy classes of subgroups.

The subgroup lattice has 813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2561C211yesmaximal, characteristic, complemented
2C2×#2539C211yesmaximal, characteristic
3C2×#2639C211yesmaximal, characteristic, complemented
4C22×#385C211yesmaximal, characteristic, complemented
5#15585C214yesmaximal, complemented
6#15497C214yesmaximal, complemented
7#15403C214yesmaximal, complemented
8#15331C214yesmaximal, complemented
9#14927C212yesmaximal, complemented
10#14725C212yesmaximal, complemented
11#14694C212yesmaximal, complemented
12#14256C212yesmaximal, complemented
13#14139C211yesmaximal, characteristic, complemented
14#14137C211yesmaximal, characteristic, complemented
15#13778C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C22×#123C2212yes—
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×#120C2212yes—
21C23×C4⋊C4C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25#2639—28no—
26#2561—28no—
27#2539—28no—
28C2×#400C2212yescomplemented
29C2×#399C2212yes—
30C2×#397C2212yes—
31C2×#397C2212yescomplemented
32C2×#394C2214yes—
33C2×#394C2212yescomplemented
34C2×#393C2212yes—
35C2×#393C2212yescomplemented
36C2×#392C2212yes—
37C2×#391C2212yescomplemented
38C2×#390C2214yes—
39C2×#390C2212yescomplemented
40C2×#388C2214yes—
41C2×#386C2212yes—
42C2×#386C2212yes—
43C2×#386C2214yes—
44C2×#386C2214yes—
45C2×#386C2212yes—
46C2×#386C2212yes—
47C2×#385—28no—
48C2×#385C2214yes—
49C2×#385C2214yes—
50C2×#381C2212yes—
51C2×#380C2212yes—
52C2×#379C2212yes—
53C2×C4×C22⋊C4C2211yescharacteristic
54C2×C4×C22⋊C4C2211yescharacteristic
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57#1442C2214yescomplemented
58#1441C2214yescomplemented
59#1441C2214yescomplemented
60#1441C2214yescomplemented
61#1441C2214yescomplemented
62#1440C2214yes—
63#1440C2214yescomplemented
64#1439C2214yes—
65#1439C2214yescomplemented
66#1439C2214yescomplemented
67#1439C2214yescomplemented
68#1439C2214yescomplemented
69#1438C2214yes—
70#1436C2214yescomplemented
71#1436C2214yescomplemented
72C4⋊#95C2212yescomplemented
73C4⋊#95C2212yescomplemented
74C22⋊#95C2212yes—
75C22⋊#95C2212yes—
76C22⋊#95C2214yes—
77C22⋊#95C2212yes—
78C22⋊#95C2214yes—
79C26C2311yescharacteristic
80C23×Q8C2311yescharacteristic
81C23×D4C2312yes—
82C23×D4C2314yes—
83C23×D4C2311yescharacteristic
84C24×C4—24no—
85C24×C4—44no—
86C24×C4—44no—
87C24×C4—44no—
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2314yes—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C2×#123—28no—
96C2×#123—28no—
97C2×#123—44no—
98C2×C22⋊Q8—24no—
99C2×C22⋊Q8—24no—
100C2×C22⋊Q8—24no—
101C2×#121—24no—
102C2×#121—24no—
103C2×#121—24no—
104C2×#120—28no—
105C2×#120—28no—
106C2×#120—44no—
107C22×C4⋊C4—24no—
108C22×C4⋊C4—24no—
109C22×C4⋊C4—44no—
110C22×C4⋊C4—44no—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2314yes—
115C22×C4⋊C4C2312yes—
116C22×C4⋊C4C2312yes—
117C22×C4⋊C4C2314yes—
118C22×C4⋊C4C2314yes—
119C22×C22⋊C4—24no—
120C22×C22⋊C4—24no—
121C22×C22⋊C4—24no—
122C22×C22⋊C4—44no—
123C22×C22⋊C4D418yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2314yes—
126C22×C22⋊C4C2312yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2314yes—
129C22×C22⋊C4C2314yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2314yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2314yes—
140C22×C22⋊C4C2314yes—
141C22×C42C2312yes—
142C22×C42C2312yes—
143#400—28no—
144#399—28no—
145#397—28no—
146#397—28no—
147#394—28no—
148#394—48no—
149#393—28no—
150#393—28no—
151#392—28no—
152#391—44no—
153#390—216no—
154#390—44no—
155#388—216no—
156#386—28no—
157#386—28no—
158#386—48no—
159#386—44no—
160#386—44no—
161#386—48no—
162#385—216no—
163#385—216no—
164#381—28no—
165#380—28no—
166#379—28no—
167C4×C22⋊C4—24no—
168C4×C22⋊C4—24no—
169C2×#95—24no—
170C2×#95D418yescomplemented
171C2×#95C2312yes—
172C2×#95C2312yes—
173C2×#95C2314yes—
174C2×#95C2312yes—
175C2×#95C2312yes—
176C2×#95C2314yes—
177C2×#95C2312yes—
178C2×#95C2312yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2314yes—
186C2×#95C2314yes—
187C2×#95C2314yes—
188C2×#95C2314yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C25—22no—
192C25—22no—
193C25—24no—
194C25—24no—
195C25—24no—
196C25—24no—
197C25—42no—
198C25—42no—
199C25C2×D414yes—
200C25C2412yes—
201C25C2412yes—
202C25C2411yescharacteristic
203C22×Q8—22no—
204C22×Q8—22no—
205C22×Q8—22no—
206C22×Q8—42no—
207C22×Q8—42no—
208C22×D4—24no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—24no—
212C22×D4—24no—
213C22×D4—24no—
214C22×D4—24no—
215C22×D4—28no—
216C22×D4—28no—
217C22×D4—28no—
218C22×D4—22no—
219C22×D4—22no—
220C22×D4—28no—
221C22×D4—22no—
222C22×D4—44no—
223C22×D4—42no—
224C22×D4—44no—
225C22×D4—44no—
226C22×D4—42no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—22no—
230C23×C4—24no—
231C23×C4—24no—
232C23×C4—24no—
233C23×C4—24no—
234C23×C4—24no—
235C23×C4—22no—
236C23×C4—28no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—28no—
240C23×C4—28no—
241C23×C4—42no—
242C23×C4—42no—
243C23×C4—42no—
244C23×C4—42no—
245C23×C4—44no—
246C23×C4—44no—
247C23×C4—44no—
248C23×C4—44no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—416no—
255C23×C4—416no—
256C23×C4—416no—
257C23×C4—464no—
258C23×C4C2×D414yes—
259C23×C4C2×D414yes—
260C23×C4C2×D414yes—
261C23×C4C2×D414yes—
262C23×C4C2×D414yes—
263C23×C4#4114yes—
264C23×C4C2412yes—
265C23×C4C2412yes—
266C23×C4C2414yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2414yes—
273C23×C4C2412yes—
274C23×C4C2411yescharacteristic
275C23×C4C2411yescharacteristic
276#123—432no—
277C22⋊Q8—416no—
278#121—416no—
279#120—432no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—28no—
283C2×C4⋊C4—22no—
284C2×C4⋊C4—22no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—28no—
290C2×C4⋊C4—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—28no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—28no—
297C2×C4⋊C4—42no—
298C2×C4⋊C4—42no—
299C2×C4⋊C4—44no—
300C2×C4⋊C4—44no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—416no—
303C2×C4⋊C4—416no—
304C2×C4⋊C4—44no—
305C2×C4⋊C4—44no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—232no—
309C2×C22⋊C4—24no—
310C2×C22⋊C4—24no—
311C2×C22⋊C4—24no—
312C2×C22⋊C4—24no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—24no—
315C2×C22⋊C4—24no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—28no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—28no—
323C2×C22⋊C4—28no—
324C2×C22⋊C4—28no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—28no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—28no—
331C2×C22⋊C4—28no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—44no—
338C2×C22⋊C4—44no—
339C2×C22⋊C4—44no—
340C2×C22⋊C4—416no—
341C2×C22⋊C4—44no—
342C2×C22⋊C4—44no—
343C2×C22⋊C4—44no—
344C2×C22⋊C4—44no—
345C2×C22⋊C4—44no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4C2×D418yes—
353C2×C22⋊C4C2×D418yes—
354C2×C22⋊C4#4118yes—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—42no—
358C2×C42—42no—
359C2×C42—42no—
360C2×C42—42no—
361#95—28no—
362#95—24no—
363#95—24no—
364#95—28no—
365#95—28no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—28no—
371#95—28no—
372#95—44no—
373#95—44no—
374#95—44no—
375#95—44no—
376#95—44no—
377#95—44no—
378#95—44no—
379#95C2×D418yes—
380#95C2×D418yes—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—28no—
386C24—28no—
387C24—216no—
388C24—28no—
389C24—216no—
390C24—22no—
391C24—22no—
392C24—24no—
393C24—22no—
394C24—24no—
395C24—24no—
396C24—22no—
397C24—24no—
398C24—216no—
399C24—22no—
400C24—22no—
401C24—22no—
402C24—22no—
403C24—22no—
404C24—24no—
405C24—22no—
406C24—24no—
407C24—22no—
408C24—24no—
409C24—24no—
410C24—48no—
411C24—416no—
412C24—416no—
413C24—416no—
414C24—416no—
415C24—44no—
416C24—48no—
417C24—44no—
418C24—44no—
419C24—44no—
420C24—48no—
421C24C22×D414yes—
422C24C22×D412yes—
423C24C22×D412yes—
424C24C2×#4112yes—
425C24C2×#4114yes—
426C24H(5,𝔽2)14yes—
427C24H(5,𝔽2)14yes—
428C242−1+414yes—
429C24C2511yescharacteristic
430C2×Q8—48no—
431C2×Q8—44no—
432C2×Q8—82no—
433C2×Q8—82no—
434C2×Q8—84no—
435C2×D4—416no—
436C2×D4—416no—
437C2×D4—416no—
438C2×D4—48no—
439C2×D4—48no—
440C2×D4—48no—
441C2×D4—48no—
442C2×D4—416no—
443C2×D4—48no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—44no—
448C2×D4—82no—
449C2×D4—82no—
450C2×D4—84no—
451C2×D4—88no—
452C2×D4—88no—
453C2×D4—88no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—28no—
461C22×C4—216no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—28no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—416no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—416no—
524C22×C4—416no—
525C22×C4—416no—
526C22×C4—416no—
527C22×C4—416no—
528C22×C4—44no—
529C22×C4—416no—
530C22×C4—416no—
531C22×C4—4128no—
532C22×C4—416no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—48no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—88no—
541C22×C4—88no—
542C22×C4#121116yes—
543C22×C4C22×D414yes—
544C22×C4C22×D414yes—
545C22×C4C22×D414yes—
546C22×C4C22×D412yes—
547C22×C4C22×D412yes—
548C22×C4C22×D412yes—
549C22×C4C22×D412yes—
550C22×C4C2×#4118yes—
551C22×C4C2×#4112yes—
552C22×C4C2×#4112yes—
553C22×C4H(5,𝔽2)14yes—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—416no—
557C4⋊C4—416no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—48no—
561C4⋊C4—88no—
562C22⋊C4—216no—
563C22⋊C4—216no—
564C22⋊C4—216no—
565C22⋊C4—416no—
566C22⋊C4—416no—
567C22⋊C4—416no—
568C22⋊C4—48no—
569C22⋊C4—416no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C22⋊C4—84no—
576C22⋊C4—88no—
577C22⋊C4—88no—
578C22⋊C4—88no—
579C42—84no—
580C42—84no—
581C23—24no—
582C23—24no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—24no—
589C23—28no—
590C23—28no—
591C23—28no—
592C23—28no—
593C23—232no—
594C23—24no—
595C23—24no—
596C23—28no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—28no—
602C23—28no—
603C23—28no—
604C23—28no—
605C23—28no—
606C23—464no—
607C23—416no—
608C23—416no—
609C23—416no—
610C23—464no—
611C23—416no—
612C23—416no—
613C23—42no—
614C23—42no—
615C23—44no—
616C23—44no—
617C23—42no—
618C23—42no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—416no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—44no—
628C23—44no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—44no—
646C23—44no—
647C23C2×#12114yes—
648C23#53214yes—
649C23#53514yes—
650C23#53718yes—
651C23#54618yes—
652C23#55918yes—
653C23C23×D411yescharacteristic
654C23C23×D411yescharacteristic
655C23C22×#4111yescharacteristic
656C23C22×#4112yes—
657C23C2×H(5,𝔽2)12yes—
658C23C2×H(5,𝔽2)12yes—
659C23C2×H(5,𝔽2)12yes—
660C23C2×2−1+412yes—
661C23#58512yes—
662Q8—88no—
663D4—88no—
664D4—832no—
665D4—816no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—416no—
688C2×C4—416no—
689C2×C4—416no—
690C2×C4—464no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—416no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—42no—
716C2×C4—44no—
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—42no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—88no—
736C2×C4—88no—
737C2×C4C2×#12114yes—
738C2×C4C2×#12114yes—
739C22—24no—
740C22—24no—
741C22—24no—
742C22—216no—
743C22—24no—
744C22—24no—
745C22—216no—
746C22—24no—
747C22—28no—
748C22—216no—
749C22—464no—
750C22—44no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—48no—
755C22—48no—
756C22—44no—
757C22—48no—
758C22—44no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—84no—
764C22—84no—
765C22—82no—
766C22—82no—
767C22—84no—
768C22—84no—
769C22—82no—
770C22#254418yes—
771C22C22×#12111yescharacteristic
772C22C2×#53211yescharacteristic
773C22C2×#53511yescharacteristic
774C22C2×#53712yes—
775C22#345912yes—
776C22C2×#54612yes—
777C22C2×#55912yes—
778C22#348411yescharacteristic
779C22#348411yescharacteristic
780C22#348511yescharacteristic
781C22#348611yescharacteristic
782C22#349212yes—
783C22#349612yes—
784C22#351314yes—
785C22#352014yes—
786C22#353214yes—
787C22#353514yes—
788C4—24no—
789C4—24no—
790C4—44no—
791C4—44no—
792C4—44no—
793C4—44no—
794C4—48no—
795C4—82no—
796C4—82no—
797C4—82no—
798C4—82no—
799C4—84no—
800C2—28no—
801C2—48no—
802C2—162no—
803C2C2×#254411yescharacteristic
804C2#3498411yescharacteristic
805C2#3522311yescharacteristic
806C2#3539411yescharacteristic
807C2#3539711yescharacteristic
808C2#3670311yescharacteristic
809C2#3711811yescharacteristic
810C2#3807714yes—
811C2#3926514yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2539C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2561C2semidirect
3. C2×#2639C2semidirect
4. C22×#385C2semidirect
5. #15585C2semidirect
6. #15497C2semidirect
7. #15403C2semidirect
8. #15331C2semidirect
9. #14927C2semidirect
10. #14725C2semidirect
11. #14694C2semidirect
12. #14256C2semidirect
13. #14139C2semidirect
14. #14137C2semidirect
15. #13778C2semidirect
28. C2×#400C22semidirect
31. C2×#397C22semidirect
33. C2×#394C22semidirect
35. C2×#393C22semidirect
37. C2×#391C22semidirect
39. C2×#390C22semidirect
57. #1442C22semidirect
58. #1441C22semidirect
59. #1441C22semidirect
60. #1441C22semidirect
61. #1441C22semidirect
63. #1440C22semidirect
65. #1439C22semidirect
66. #1439C22semidirect
67. #1439C22semidirect
68. #1439C22semidirect
70. #1436C22semidirect
71. #1436C22semidirect
72. C4⋊#95C22semidirect
73. C4⋊#95C22semidirect
170. C2×#95D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25612
C2×#25392
C2×#26392
C22×#3852
#155852
#154972
#154032
#153312
#149272
#147252
#146942
#142562
#141392
#141372
#137782