Finite Group Databasebeta

← #6487691

Subgroups — #6487691

Order 512.

2439 conjugacy classes of subgroups.

The subgroup lattice has 787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3110C211yesmaximal, characteristic, complemented
2C2×#3105C211yesmaximal, characteristic
3#35241C211yesmaximal, characteristic, complemented
4C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
5#32908C212yesmaximal
6#32905C212yesmaximal, complemented
7#29761C212yesmaximal, complemented
8#29757C212yesmaximal, complemented
9#24825C214yesmaximal, complemented
10#24816C212yesmaximal, complemented
11#24811C212yesmaximal, complemented
12#24740C214yesmaximal, complemented
13#24730C212yesmaximal, complemented
14#24727C212yesmaximal, complemented
15#21953C211yesmaximal, characteristic, complemented
16#21867C211yesmaximal, characteristic, complemented
17#21860C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C2×#529C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×C4×D4C2212yes—
22C23×C4⋊C4—21no—
23#3110—28no—
24#3105—28no—
25C2×#484C2211yescharacteristic
26C2×#484C2212yes—
27C2×#481C2211yescharacteristic
28C2×#478C2212yes—
29C2×#474C2212yes—
30C2×#463C2212yes—
31C2×#463C2214yes—
32C2×#461C2212yes—
33C2×#461C2214yes—
34C2×#450C2211yescharacteristic
35C2×#450C2212yes—
36C2×#447C2211yescharacteristic
37C2×#440C2214yes—
38C2×C4×SD16C2212yes—
39C2×C4×D8C2212yes—
40C2×#432C2211yescharacteristic
41C2×#431C2211yescharacteristic
42#2857C2212yes—
43#2850C2212yes—
44#2664—22no—
45#2568C2211yescharacteristic, complemented
46#2565C2212yescomplemented
47#2547C2211yescharacteristic, complemented
48#2546C2211yescharacteristic, complemented
49#2545C2212yescomplemented
50#2542C2211yescharacteristic, complemented
51#2498—22no—
52#2417—21no—
53#2417—21no—
54D4×C4⋊C4—21no—
55D4×C4⋊C4—21no—
56D4×C4⋊C4—22no—
57D4×C4⋊C4C2212yes—
58D4×C4⋊C4C2212yes—
59D4×C4⋊C4C2214yes—
60#2323—21no—
61#2323—21no—
62C2×#389C2212yes—
63C2×#385—22no—
64C2×#384C2211yescharacteristic
65C2×#380—21no—
66C2×C4×C4⋊C4C2211yescharacteristic
67#2085C2214yescomplemented
68#2083C2214yescomplemented
69#2068C2214yescomplemented
70#2068C2214yescomplemented
71#2067C2214yescomplemented
72#2066C2214yescomplemented
73#2043C2214yescomplemented
74#2042C2214yescomplemented
75#1992C2212yescomplemented
76#1990C2212yescomplemented
77#1959C2212yescomplemented
78#1956C2212yescomplemented
79#1940C2214yescomplemented
80#1939C2212yescomplemented
81#1939C2212yescomplemented
82#1879C2214yes—
83#1877C2214yes—
84#1877C2214yes—
85#1877C2214yes—
86#1874C2212yes—
87#1872C2212yes—
88#1872C2212yes—
89#1872C2212yes—
90#1804C2214yes—
91#1803C2214yescomplemented
92#1803C2212yescomplemented
93#1802C2214yes—
94#1802C2212yescomplemented
95#1797C2212yes—
96#1797C2212yes—
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C24×C4—22no—
100C22×SD16C2312yes—
101C22×SD16C2314yes—
102C22×D8C2312yes—
103#533—24no—
104#533—24no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2312yes—
107C2×C4⋊Q8C2311yescharacteristic
108#529—24no—
109#529—24no—
110C2×#126—21no—
111C2×#125—21no—
112C2×#125C2311yescharacteristic
113C2×#124C2311yescharacteristic
114C2×#124C2312yes—
115C2×#123—21no—
116C2×C22⋊Q8—21no—
117C2×C22⋊Q8—21no—
118C2×C22⋊Q8—21no—
119C2×C22⋊Q8C2312yes—
120C2×C22⋊Q8C2311yescharacteristic
121C2×#121C2311yescharacteristic
122C2×C4×Q8—21no—
123C2×C4×Q8C2312yes—
124C2×C4×Q8C2311yescharacteristic
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—22no—
129C2×C4×D4—22no—
130C2×C4×D4—24no—
131C2×C4×D4—48no—
132C2×C4×D4D418yes—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2314yes—
135C2×C4×D4C2314yes—
136C2×C4×D4C2312yes—
137C2×C4×D4C2312yes—
138C2×#117—21no—
139C2×#117—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—22no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4—22no—
144C22×C4⋊C4—24no—
145C22×C4⋊C4—22no—
146C22×C4⋊C4—48no—
147C22×C4⋊C4D411yescharacteristic
148C22×C4⋊C4D411yescharacteristic
149C22×C4⋊C4C2311yescharacteristic
150C22×C4⋊C4C2312yes—
151C22×C22⋊C4—21no—
152C22×C22⋊C4—22no—
153C22×C42C2312yes—
154C22×C42C2311yescharacteristic
155#484—24no—
156#484—28no—
157#481—24no—
158#478—28no—
159#474—28no—
160#463—28no—
161#463—48no—
162#461—28no—
163#461—48no—
164#450—24no—
165#450—28no—
166#447—24no—
167#440—216no—
168C4×SD16—28no—
169C4×D8—28no—
170#432—24no—
171#431—24no—
172C2×#107C2312yes—
173C2×#107C2314yes—
174C2×#106C2312yes—
175C2×C4⋊C8C2312yes—
176C2×C4⋊C8C2312yes—
177C2×C4⋊C8C2314yes—
178C2×C4⋊C8C2314yes—
179C2×#103C2314yes—
180C2×#103C2312yes—
181C2×#103C2314yes—
182C2×#103C2314yes—
183C2×#103C2314yes—
184C2×#102C2312yes—
185C2×#102C2312yes—
186C2×#102C2314yes—
187C2×#102C2312yes—
188C2×#102C2314yes—
189C2×C22⋊C8C2311yescharacteristic
190C2×C22⋊C8C2311yescharacteristic
191C2×C22⋊C8C2312yes—
192C2×#97C2312yes—
193C2×C4×C8C2312yes—
194#400—22no—
195#399—22no—
196#398—22no—
197#398—22no—
198#398—22no—
199#397—22no—
200#396—22no—
201#396—22no—
202#391—21no—
203#391—21no—
204#391C2312yes—
205#391C2312yes—
206#391C2312yes—
207#390C2312yes—
208#389—21no—
209#389—21no—
210#389—22no—
211#389—22no—
212#389—22no—
213#389—22no—
214#389C2314yes—
215#389C2314yes—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#387—22no—
221#387—22no—
222#386—22no—
223#386—22no—
224#385—24no—
225#385—24no—
226#385—24no—
227#385—24no—
228#384—21no—
229#384—21no—
230#384C2312yes—
231#384C2312yes—
232#384C2312yes—
233#382C2312yes—
234#380—22no—
235#380—22no—
236#380—21no—
237#380—21no—
238#380—22no—
239#380—22no—
240#380—24no—
241C4×C4⋊C4D411yescharacteristic
242C4×C4⋊C4D411yescharacteristic
243C4×C4⋊C4D412yes—
244C4×C4⋊C4C2312yes—
245C4×C4⋊C4C2311yescharacteristic
246C4×C4⋊C4C2311yescharacteristic
247C2×#95—22no—
248C2×#95D412yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#336C2314yes—
254#336C2314yes—
255C25—21no—
256C22×Q8—21no—
257C22×Q8C2411yescharacteristic
258C22×Q8C2412yes—
259C22×D4—24no—
260C22×D4—24no—
261C22×D4—21no—
262C22×D4—21no—
263C22×D4—22no—
264C22×D4C2×D414yes—
265C22×D4C2411yescharacteristic
266C22×D4C2412yes—
267C23×C4—21no—
268C23×C4—28no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—21no—
273C23×C4—24no—
274C23×C4—24no—
275C23×C4—44no—
276C23×C4—44no—
277C23×C4—48no—
278C23×C4—48no—
279C23×C4—84no—
280C23×C4C2×D412yes—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D412yes—
284C23×C4C2411yescharacteristic
285C2×SD16—24no—
286C2×SD16—28no—
287C2×SD16—24no—
288C2×SD16—28no—
289C2×SD16—24no—
290C2×SD16—28no—
291C2×D8—24no—
292C2×D8—24no—
293C2×D8—24no—
294C22×C8C2412yes—
295C22×C8C2412yes—
296C22×C8C2414yes—
297C4⋊Q8—22no—
298C4⋊Q8—22no—
299C4⋊Q8—22no—
300C4⋊Q8—22no—
301C4⋊Q8—44no—
302#126—44no—
303#125—22no—
304#125—22no—
305#125—44no—
306#124—22no—
307#124—22no—
308#124—44no—
309#123—44no—
310C22⋊Q8—22no—
311C22⋊Q8—24no—
312C22⋊Q8—22no—
313C22⋊Q8—24no—
314C22⋊Q8—44no—
315C22⋊Q8—44no—
316C22⋊Q8—44no—
317#121—22no—
318#121—22no—
319C4×Q8—22no—
320C4×Q8—24no—
321C4×Q8—22no—
322C4×Q8—24no—
323C4×Q8—44no—
324C4×D4—28no—
325C4×D4—28no—
326C4×D4—28no—
327C4×D4—28no—
328C4×D4—22no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—22no—
332C4×D4—44no—
333C4×D4—44no—
334C4×D4—48no—
335C4×D4—48no—
336C4×D4—44no—
337C4×D4C2×D418yes—
338C4×D4C2×D418yes—
339#117—44no—
340#117—44no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
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—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—42no—
365C2×C4⋊C4—44no—
366C2×C4⋊C4—416no—
367C2×C4⋊C4—48no—
368C2×C4⋊C4—44no—
369C2×C4⋊C4—48no—
370C2×C4⋊C4—48no—
371C2×C4⋊C4—82no—
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D412yes—
374C2×C4⋊C4C2×D411yescharacteristic
375C2×C4⋊C4C2×D411yescharacteristic
376C2×C4⋊C4C2×D414yes—
377C2×C4⋊C4C2×D412yes—
378C2×C4⋊C4C2×D411yescharacteristic
379C2×C4⋊C4C2414yes—
380C2×C4⋊C4C2411yescharacteristic
381C2×C4⋊C4C2411yescharacteristic
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C22⋊C4—28no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—24no—
390C2×C22⋊C4—24no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—48no—
400C2×C42—21no—
401C2×C42—22no—
402C2×C42—44no—
403C2×C42C2×D412yes—
404C2×C42C2×D412yes—
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D414yes—
408C2×C42#4114yes—
409C2×C42C2412yes—
410C2×C42C2412yes—
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413#107—24no—
414#107—28no—
415#106—24no—
416C4⋊C8—24no—
417C4⋊C8—24no—
418C4⋊C8—44no—
419C4⋊C8—44no—
420#103—24no—
421#103—28no—
422#103—44no—
423#103—44no—
424#103—44no—
425#102—24no—
426#102—24no—
427#102—28no—
428#102—24no—
429#102—44no—
430C22⋊C8—22no—
431C22⋊C8—22no—
432C22⋊C8—24no—
433#97—24no—
434C4×C8—24no—
435#95—24no—
436#95—24no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95C2×D412yes—
446#95C2×D412yes—
447#95C2×D412yes—
448#95C2×D412yes—
449C24—24no—
450C24—24no—
451C24—24no—
452C24—22no—
453C24—21no—
454C24—42no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24C22×D411yescharacteristic
459C2×Q8—21no—
460C2×Q8—22no—
461C2×Q8—21no—
462C2×Q8—22no—
463C2×Q8—24no—
464C2×Q8—22no—
465C2×Q8—22no—
466C2×Q8—24no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—216no—
473C2×D4—216no—
474C2×D4—24no—
475C2×D4—21no—
476C2×D4—22no—
477C2×D4—21no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4C22×D414yes—
486C2×D4H(5,𝔽2)14yes—
487C2×D42−1+414yes—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—28no—
499C22×C4—28no—
500C22×C4—24no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—432no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—42no—
524C22×C4—48no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4—832no—
530C22×C4#12114yes—
531C22×C4#12114yes—
532C22×C4C22×D412yes—
533C22×C4C22×D412yes—
534C22×C4C22×D412yes—
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D412yes—
540C22×C4C22×D412yes—
541C22×C4C22×D411yescharacteristic
542C22×C4C2×#4112yes—
543C22×C4C2511yescharacteristic
544SD16—48no—
545SD16—416no—
546D8—48no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—22no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—42no—
571C4⋊C4—44no—
572C4⋊C4—48no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—44no—
581C4⋊C4—42no—
582C4⋊C4—44no—
583C4⋊C4—42no—
584C4⋊C4—48no—
585C4⋊C4—44no—
586C4⋊C4—44no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C4⋊C4—82no—
591C4⋊C4AGL(1,ℤ/8)14yes—
592C4⋊C4C22×D414yes—
593C22⋊C4—28no—
594C22⋊C4—28no—
595C22⋊C4—48no—
596C22⋊C4—48no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—42no—
600C22⋊C4—42no—
601C22⋊C4—42no—
602C22⋊C4—42no—
603C22⋊C4—42no—
604C22⋊C4—44no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C42—24no—
608C42—24no—
609C42—42no—
610C42—42no—
611C42—42no—
612C42—44no—
613C42#12114yes—
614C42#12114yes—
615C42C22×D412yes—
616C42C22×D412yes—
617C42C2×#4112yes—
618C42C2×#4112yes—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—216no—
624C23—24no—
625C23—24no—
626C23—24no—
627C23—48no—
628C23—48no—
629C23—48no—
630C23—48no—
631C23—48no—
632C23—48no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—41no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—41no—
642C23—41no—
643C23—41no—
644C23C2×#12112yes—
645C23#57712yes—
646C23#57812yes—
647C23C23×D411yescharacteristic
648Q8—42no—
649Q8—44no—
650Q8—42no—
651Q8—44no—
652Q8—84no—
653D4—216no—
654D4—24no—
655D4—24no—
656D4—24no—
657D4—42no—
658D4—42no—
659D4—84no—
660D4#53718yes—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—28no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—28no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—48no—
686C2×C4—416no—
687C2×C4—48no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—416no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—41no—
706C2×C4—44no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—816no—
710C2×C4—84no—
711C2×C4—816no—
712C2×C4—88no—
713C2×C4—84no—
714C2×C4C2×#12112yes—
715C2×C4C2×#12112yes—
716C2×C4C2×#12112yes—
717C2×C4C2×#12112yes—
718C2×C4C2×#12112yes—
719C2×C4C2×AGL(1,ℤ/8)14yes—
720C2×C4C2×AGL(1,ℤ/8)12yes—
721C2×C4#57512yes—
722C2×C4C23×D411yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C2×H(5,𝔽2)12yes—
725C2×C4C2×2−1+412yes—
726C8—42no—
727C8—42no—
728C8—44no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—28no—
736C22—432no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—44no—
741C22—44no—
742C22—44no—
743C22—81no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22#304614yes—
751C22C22×#12111yescharacteristic
752C22#348411yescharacteristic
753C22#348611yescharacteristic
754C22C22×AGL(1,ℤ/8)11yescharacteristic
755C22C2×#57511yescharacteristic
756C22C2×#57711yescharacteristic
757C22C2×#57811yescharacteristic
758C4—22no—
759C4—22no—
760C4—22no—
761C4—24no—
762C4—22no—
763C4—42no—
764C4—42no—
765C4—42no—
766C4—44no—
767C4—81no—
768C4—81no—
769C4—82no—
770C4—84no—
771C4—81no—
772C4—82no—
773C4#303614yes—
774C4C2×#53712yes—
775C4#349212yes—
776C2—24no—
777C2—48no—
778C2—161no—
779C2#3522311yescharacteristic
780C2C2×#303611yescharacteristic
781C2C2×#304611yescharacteristic
782C2#6159511yescharacteristic
783C2#6160011yescharacteristic
784C2#6183711yescharacteristic
785C2#6184111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#447C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3110C2semidirect
3. #35241C2semidirect
4. C2×D4×C4⋊C4C2semidirect
6. #32905C2semidirect
7. #29761C2semidirect
8. #29757C2semidirect
9. #24825C2semidirect
10. #24816C2semidirect
11. #24811C2semidirect
12. #24740C2semidirect
13. #24730C2semidirect
14. #24727C2semidirect
15. #21953C2semidirect
16. #21867C2semidirect
17. #21860C2semidirect
45. #2568C22semidirect
46. #2565C22semidirect
47. #2547C22semidirect
48. #2546C22semidirect
49. #2545C22semidirect
50. #2542C22semidirect
67. #2085C22semidirect
68. #2083C22semidirect
69. #2068C22semidirect
70. #2068C22semidirect
71. #2067C22semidirect
72. #2066C22semidirect
73. #2043C22semidirect
74. #2042C22semidirect
75. #1992C22semidirect
76. #1990C22semidirect
77. #1959C22semidirect
78. #1956C22semidirect
79. #1940C22semidirect
80. #1939C22semidirect
81. #1939C22semidirect
91. #1803C22semidirect
92. #1803C22semidirect
94. #1802C22semidirect

Maximal subgroups

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

subgroupindex
C2×#31102
C2×#31052
#352412
C2×D4×C4⋊C42
#329082
#329052
#297612
#297572
#248252
#248162
#248112
#247402
#247302
#247272
#219532
#218672
#218602