Finite Group Databasebeta

← #759500

Subgroups — #759500

Order 512.

4110 conjugacy classes of subgroups.

The subgroup lattice has 814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2484C211yesmaximal, characteristic, complemented
2C22×#385C211yesmaximal, characteristic
3C2×#2280C211yesmaximal, characteristic
4C2×#2280C211yesmaximal, characteristic
5#16400C212yesmaximal, complemented
6#16399C212yesmaximal, complemented
7#14997C214yesmaximal, complemented
8#14918C212yesmaximal
9#14841C212yesmaximal, complemented
10#14840C212yesmaximal, complemented
11#14727C212yesmaximal
12#14202C214yesmaximal, complemented
13#14128C211yesmaximal, characteristic, complemented
14#13962C212yesmaximal, complemented
15#13958C211yesmaximal, characteristic, complemented
16#13870C212yesmaximal, complemented
17#13870C211yesmaximal, characteristic, complemented
18C25×C4C2211yescharacteristic
19C22×#117C2211yescharacteristic
20C22×#117C2212yes—
21C22×#117C2211yescharacteristic
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26#2484—28no—
27C2×#400C2212yescomplemented
28C2×#398C2212yescomplemented
29C2×#397C2214yes—
30C2×#387C2214yescomplemented
31C2×#385—28no—
32C2×#385C2212yes—
33C2×#385C2212yes—
34C2×#385C2212yes—
35C2×#385C2212yes—
36C2×#385C2212yes—
37C2×#385C2212yes—
38#2280—28no—
39#2280—28no—
40C2×#381C2212yes—
41C2×#381C2211yescharacteristic
42C2×#381C2212yes—
43C2×#381C2212yes—
44C2×#381C2211yescharacteristic
45C2×#380C2211yescharacteristic
46C2×#380C2212yes—
47C2×#380C2211yescharacteristic
48C2×#380C2212yes—
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×#379C2212yes—
52C2×#379C2212yes—
53C2×C4×C22⋊C4C2212yes—
54C2×C4×C22⋊C4C2212yes—
55C2×C4×C22⋊C4C2212yes—
56C2×C4×C22⋊C4C2212yes—
57C22×#95C2211yescharacteristic
58C22×#95C2211yescharacteristic
59#1445C2212yescomplemented
60#1445C2212yescomplemented
61#1444C2212yescomplemented
62#1442C2212yescomplemented
63#1441C2214yescomplemented
64#1441C2212yescomplemented
65#1441C2214yescomplemented
66#1441C2214yescomplemented
67#1441C2212yescomplemented
68#1441C2214yescomplemented
69#1440C2214yes—
70#1440C2214yes—
71#1440C2214yes—
72#1440C2214yes—
73#1439C2214yes—
74#1439C2214yes—
75#1439C2214yes—
76#1436C2214yescomplemented
77#1436C2214yescomplemented
78#1436C2214yescomplemented
79#1436C2214yescomplemented
80C4⋊#95C2214yescomplemented
81#1434C2214yescomplemented
82#1434C2214yescomplemented
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C26C2311yescharacteristic
88C24×C4—24no—
89C24×C4—24no—
90C24×C4—28no—
91C24×C4—44no—
92C24×C4D418yes—
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C24×C4C2311yescharacteristic
101C24×C4C2311yescharacteristic
102C24×C4C2311yescharacteristic
103C2×#117—24no—
104C2×#117—24no—
105C2×#117—24no—
106C2×#117—28no—
107C2×#117—24no—
108C2×#117—28no—
109C2×#117—44no—
110C2×#117—44no—
111C22×C4⋊C4—24no—
112C22×C4⋊C4—24no—
113C22×C4⋊C4—24no—
114C22×C4⋊C4—24no—
115C22×C4⋊C4—28no—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2312yes—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2314yes—
123C22×C4⋊C4C2314yes—
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2314yes—
127C22×C22⋊C4—24no—
128C22×C22⋊C4—28no—
129C22×C22⋊C4—24no—
130C22×C22⋊C4—44no—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2312yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C22⋊C4C2312yes—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2314yes—
138C22×C22⋊C4C2314yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2312yes—
144C22×C22⋊C4C2312yes—
145C22×C42C2312yes—
146C22×C42C2314yes—
147C22×C42C2312yes—
148#400—28no—
149#398—28no—
150#397—216no—
151#387—216no—
152#385—28no—
153#385—28no—
154#385—28no—
155#385—28no—
156#385—28no—
157#385—44no—
158#381—24no—
159#381—28no—
160#381—28no—
161#381—44no—
162#381D418yes—
163#380—24no—
164#380—24no—
165#380—24no—
166#380—24no—
167#380—28no—
168#380—28no—
169#379—28no—
170#379—28no—
171C4×C22⋊C4—28no—
172C4×C22⋊C4—28no—
173C4×C22⋊C4—28no—
174C4×C22⋊C4—28no—
175C2×#95—24no—
176C2×#95—24no—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2314yes—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2312yes—
184C2×#95C2312yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2312yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2314yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2312yes—
202C2×#95C2312yes—
203C25—24no—
204C25—24no—
205C25—24no—
206C25—22no—
207C25—22no—
208C25—24no—
209C25—42no—
210C25—42no—
211C25C2×D414yes—
212C25C2411yescharacteristic
213C25C2411yescharacteristic
214C25C2411yescharacteristic
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—24no—
218C23×C4—24no—
219C23×C4—24no—
220C23×C4—22no—
221C23×C4—22no—
222C23×C4—232no—
223C23×C4—232no—
224C23×C4—22no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—24no—
229C23×C4—24no—
230C23×C4—22no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—24no—
246C23×C4—24no—
247C23×C4—24no—
248C23×C4—416no—
249C23×C4—42no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4—432no—
256C23×C4—432no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4C2×D414yes—
260C23×C4C2×D414yes—
261C23×C4C2×D414yes—
262C23×C4C2×D414yes—
263C23×C4C2×D414yes—
264C23×C4C2×D414yes—
265C23×C4C2×D414yes—
266C23×C4#4114yes—
267C23×C4#4118yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2414yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2414yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2411yescharacteristic
279C23×C4C2411yescharacteristic
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282#117—432no—
283#117—416no—
284#117—416no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—24no—
287C2×C4⋊C4—24no—
288C2×C4⋊C4—24no—
289C2×C4⋊C4—24no—
290C2×C4⋊C4—24no—
291C2×C4⋊C4—28no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—22no—
296C2×C4⋊C4—22no—
297C2×C4⋊C4—22no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—24no—
301C2×C4⋊C4—28no—
302C2×C4⋊C4—28no—
303C2×C4⋊C4—28no—
304C2×C4⋊C4—22no—
305C2×C4⋊C4—22no—
306C2×C4⋊C4—28no—
307C2×C4⋊C4—44no—
308C2×C4⋊C4—44no—
309C2×C4⋊C4—42no—
310C2×C4⋊C4—42no—
311C2×C4⋊C4—416no—
312C2×C4⋊C4—416no—
313C2×C4⋊C4—44no—
314C2×C4⋊C4—44no—
315C2×C4⋊C4—44no—
316C2×C22⋊C4—232no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—24no—
320C2×C22⋊C4—24no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—28no—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—28no—
344C2×C22⋊C4—28no—
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—416no—
352C2×C22⋊C4C2×D418yes—
353C2×C22⋊C4#4118yes—
354C2×C42—28no—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—28no—
359C2×C42—24no—
360C2×C42—44no—
361C2×C42—42no—
362C2×C42—42no—
363#95—24no—
364#95—24no—
365#95—24no—
366#95—24no—
367#95—24no—
368#95—24no—
369#95—24no—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—28no—
374#95—28no—
375#95—28no—
376#95—28no—
377#95—28no—
378#95—28no—
379#95—44no—
380#95—44no—
381#95—44no—
382#95—44no—
383#95—44no—
384#95—44no—
385#95—44no—
386#95—44no—
387#95C2×D418yes—
388#95C2×D418yes—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24—232no—
394C24—28no—
395C24—28no—
396C24—28no—
397C24—21no—
398C24—21no—
399C24—22no—
400C24—21no—
401C24—21no—
402C24—22no—
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—28no—
412C24—28no—
413C24—44no—
414C24—44no—
415C24—48no—
416C24—48no—
417C24—416no—
418C24—48no—
419C24—48no—
420C24—416no—
421C24—416no—
422C24—48no—
423C24—48no—
424C24C22×D412yes—
425C24C22×D412yes—
426C24C22×D412yes—
427C24C22×D412yes—
428C24C2×#4114yes—
429C24C2×#4112yes—
430C24C2×#4114yes—
431C24H(5,𝔽2)14yes—
432C242−1+414yes—
433C24C2511yescharacteristic
434C22×C4—28no—
435C22×C4—28no—
436C22×C4—28no—
437C22×C4—28no—
438C22×C4—216no—
439C22×C4—216no—
440C22×C4—216no—
441C22×C4—216no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—28no—
453C22×C4—28no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—28no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—24no—
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—22no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—4128no—
520C22×C4—48no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4—48no—
524C22×C4—48no—
525C22×C4—48no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—416no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—48no—
542C22×C4—48no—
543C22×C4—88no—
544C22×C4#121116yes—
545C22×C4#123116yes—
546C22×C4C22×D418yes—
547C22×C4C22×D412yes—
548C22×C4C22×D412yes—
549C22×C4C22×D412yes—
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D412yes—
553C22×C4C2×#4114yes—
554C22×C4C2×#4114yes—
555C22×C4C2×#4112yes—
556C22×C4C2×#4112yes—
557C22×C4C2×#4114yes—
558C22×C4C2×#4114yes—
559C4⋊C4—416no—
560C4⋊C4—416no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—48no—
564C4⋊C4—48no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—48no—
568C4⋊C4—48no—
569C4⋊C4—88no—
570C22⋊C4—216no—
571C22⋊C4—216no—
572C22⋊C4—216no—
573C22⋊C4—416no—
574C22⋊C4—416no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—48no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C42—416no—
585C42—48no—
586C42—48no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—24no—
592C23—24no—
593C23—28no—
594C23—24no—
595C23—28no—
596C23—24no—
597C23—28no—
598C23—28no—
599C23—232no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—24no—
613C23—24no—
614C23—28no—
615C23—24no—
616C23—28no—
617C23—28no—
618C23—24no—
619C23—28no—
620C23—416no—
621C23—416no—
622C23—416no—
623C23—416no—
624C23—464no—
625C23—416no—
626C23—464no—
627C23—416no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—44no—
635C23—42no—
636C23—42no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23C2×#12114yes—
641C23C2×#12314yes—
642C23#52514yes—
643C23#53414yes—
644C23#53614yes—
645C23#54618yes—
646C23#55118yes—
647C23C23×D411yescharacteristic
648C23C23×D411yescharacteristic
649C23C22×#4111yescharacteristic
650C23C22×#4112yes—
651C23C22×#4112yes—
652C23C2×H(5,𝔽2)12yes—
653C23C2×2−1+412yes—
654C23#58512yes—
655C23#58512yes—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—232no—
661C2×C4—232no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—28no—
677C2×C4—28no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—28no—
681C2×C4—28no—
682C2×C4—416no—
683C2×C4—416no—
684C2×C4—416no—
685C2×C4—416no—
686C2×C4—416no—
687C2×C4—416no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
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—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
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—44no—
736C2×C4—88no—
737C2×C4—88no—
738C2×C4C2×#12114yes—
739C2×C4C2×#12114yes—
740C2×C4C2×#12314yes—
741C2×C4C2×#12314yes—
742C22—216no—
743C22—24no—
744C22—216no—
745C22—24no—
746C22—24no—
747C22—24no—
748C22—24no—
749C22—24no—
750C22—24no—
751C22—24no—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—24no—
756C22—464no—
757C22—48no—
758C22—48no—
759C22—42no—
760C22—42no—
761C22—42no—
762C22—42no—
763C22—48no—
764C22—48no—
765C22—42no—
766C22—42no—
767C22—42no—
768C22—42no—
769C22#241218yes—
770C22C22×#12111yescharacteristic
771C22C22×#12311yescharacteristic
772C22C2×#52511yescharacteristic
773C22C2×#53411yescharacteristic
774C22C2×#53611yescharacteristic
775C22#344911yescharacteristic
776C22#344911yescharacteristic
777C22C2×#54612yes—
778C22D4×#4112yes—
779C22C2×#55112yes—
780C22#347512yes—
781C22#347514yes—
782C22#348912yes—
783C22#349214yes—
784C22#349512yes—
785C22#349514yes—
786C22#353314yes—
787C4—24no—
788C4—24no—
789C4—24no—
790C4—24no—
791C4—48no—
792C4—44no—
793C4—44no—
794C4—82no—
795C4—82no—
796C4—82no—
797C4—84no—
798C4—82no—
799C4—82no—
800C4—82no—
801C2—28no—
802C2—44no—
803C2—44no—
804C2C2×#241211yescharacteristic
805C2#3473711yescharacteristic
806C2#3480911yescharacteristic
807C2#3505711yescharacteristic
808C2#3530611yescharacteristic
809C2#3531111yescharacteristic
810C2#3744311yescharacteristic
811C2#5900814yes—
812C2#5919414yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
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×#2484C2semidirect
5. #16400C2semidirect
6. #16399C2semidirect
7. #14997C2semidirect
9. #14841C2semidirect
10. #14840C2semidirect
12. #14202C2semidirect
13. #14128C2semidirect
14. #13962C2semidirect
15. #13958C2semidirect
16. #13870C2semidirect
17. #13870C2semidirect
27. C2×#400C22semidirect
28. C2×#398C22semidirect
30. C2×#387C22semidirect
59. #1445C22semidirect
60. #1445C22semidirect
61. #1444C22semidirect
62. #1442C22semidirect
63. #1441C22semidirect
64. #1441C22semidirect
65. #1441C22semidirect
66. #1441C22semidirect
67. #1441C22semidirect
68. #1441C22semidirect
76. #1436C22semidirect
77. #1436C22semidirect
78. #1436C22semidirect
79. #1436C22semidirect
80. C4⋊#95C22semidirect
81. #1434C22semidirect
82. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#24842
C22×#3852
C2×#22802
#164002
#163992
#149972
#149182
#148412
#148402
#147272
#142022
#141282
#139622
#139582
#138702