Finite Group Databasebeta

← #6470696

Subgroups — #6470696

Order 512.

2536 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×#3194C212yesmaximal, complemented
2#35032C211yesmaximal, characteristic, complemented
3C2×#2361C211yesmaximal, characteristic, complemented
4#33111C212yesmaximal, complemented
5#32905C211yesmaximal, characteristic, complemented
6#32902C211yesmaximal, characteristic, complemented
7#29756C211yesmaximal, characteristic, complemented
8#29754C211yesmaximal, characteristic, complemented
9#29718C212yesmaximal, complemented
10#25218C214yesmaximal, complemented
11#25216C214yesmaximal, complemented
12#25094C214yesmaximal, complemented
13#25092C214yesmaximal, complemented
14#21934C211yesmaximal, characteristic, complemented
15#20909C212yesmaximal, complemented
16C2×#525C2212yes—
17C22×#121C2211yescharacteristic
18C22×C4×D4—21no—
19C22×C4×D4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21#3194—216no—
22C2×#482C2214yes—
23C2×#483C2212yes—
24C2×#480C2212yes—
25C2×#469C2214yes—
26C2×#468C2214yes—
27C2×#461C2212yescomplemented
28C2×#459C2212yescomplemented
29C2×#449C2214yes—
30C2×#450C2212yes—
31C2×#447C2212yes—
32C2×#417C2214yescomplemented
33C2×#407C2212yes—
34#2857C2211yescharacteristic
35#2856C2211yescharacteristic
36#2850C2212yes—
37#2617—21no—
38#2617—21no—
39#2602—22no—
40#2602—22no—
41#2500C2212yescomplemented
42#2499C2212yescomplemented
43#2432C2212yescomplemented
44#2431C2212yescomplemented
45#2361—22no—
46#2361—22no—
47#2361C2214yes—
48#2361C2214yes—
49#2325—21no—
50#2325—21no—
51C2×#390C2211yescharacteristic
52C2×#389C2211yescharacteristic
53C2×#388—21no—
54C2×#386—21no—
55C2×#385—21no—
56C2×C4×C4⋊C4C2211yescharacteristic
57C2×C4×C22⋊C4C2211yescharacteristic
58#2084C2212yescomplemented
59#2083C2212yescomplemented
60#2073C2214yescomplemented
61#2067C2214yescomplemented
62#2066C2214yescomplemented
63#2055C2214yescomplemented
64#2054C2214yescomplemented
65#2043C2212yescomplemented
66#2041C2212yescomplemented
67#2012C2214yescomplemented
68#1983C2214yescomplemented
69#1949C2214yescomplemented
70#1928C2214yescomplemented
71#1926C2214yescomplemented
72#1879C2214yescomplemented
73#1877C2214yescomplemented
74#1874C2212yes—
75#1874C2212yes—
76#1874C2214yescomplemented
77#1872C2212yes—
78#1872C2212yes—
79#1872C2214yescomplemented
80#1851C2214yescomplemented
81#1851C2214yescomplemented
82#1802C2212yescomplemented
83#1802C2212yescomplemented
84#1797C2212yes—
85#1797C2211yescharacteristic
86#1797C2211yescharacteristic
87#1736C2214yescomplemented
88C22×#41C2312yes—
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C24×C4—21no—
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C22×SD16C2314yes—
95C22×D8C2314yes—
96C22×M16C2314yes—
97C2×C4⋊Q8C2311yescharacteristic
98C2×#127C2311yescharacteristic
99C2×#124C2312yes—
100#525—28no—
101#525—28no—
102C2×#123—22no—
103C2×C22⋊Q8C2312yes—
104C2×C22⋊Q8C2312yes—
105C2×#121—22no—
106C2×#121—24no—
107C2×#121—21no—
108C2×#121—21no—
109C2×#121D418yescomplemented
110C2×#121C2312yes—
111C2×#121C2312yes—
112C2×#121C2314yes—
113C2×#120—22no—
114C2×C4×D4—22no—
115C2×C4×D4—22no—
116C2×C4×D4—24no—
117C2×C4×D4—24no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—48no—
121C2×C4×D4—44no—
122C2×C4×D4C2312yes—
123C2×C4×D4C2312yes—
124C2×#117C2312yes—
125C22×C4⋊C4—22no—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—44no—
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2314yes—
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4D411yescharacteristic
138C22×C22⋊C4D411yescharacteristic
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#483—28no—
143#482—216no—
144#480—28no—
145#469—216no—
146#468—216no—
147#461—44no—
148#459—44no—
149#450—28no—
150#449—216no—
151#447—28no—
152C2×#107C2314yes—
153C2×#106C2314yes—
154C2×C4⋊C8C2314yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157#417—48no—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166#407—28no—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2314yes—
170#397—22no—
171#397—22no—
172#394—22no—
173#394—22no—
174#394—22no—
175#394—22no—
176#392—22no—
177#392—22no—
178#391C2312yes—
179#391C2312yes—
180#390—21no—
181#390—21no—
182#390—22no—
183#390C2312yes—
184#390C2314yes—
185#390C2312yes—
186#389—21no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389C2312yes—
191#389C2312yes—
192#388—22no—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—24no—
197#388—24no—
198#387—22no—
199#387—22no—
200#386—22no—
201#386—22no—
202#386—24no—
203#386—24no—
204#386—22no—
205#386—22no—
206#385—22no—
207#385—22no—
208#385—24no—
209#385—24no—
210#384C2311yescharacteristic
211#384C2311yescharacteristic
212#382C2312yes—
213#380—21no—
214#380—21no—
215C4×C4⋊C4—22no—
216C4×C4⋊C4C2314yes—
217C4×C22⋊C4D412yes—
218C4×C22⋊C4D412yes—
219C4×C22⋊C4C2312yes—
220C4×C22⋊C4C2312yes—
221C2×#95—21no—
222C2×#95—21no—
223C2×#95D411yescharacteristic
224C2×#95D411yescharacteristic
225#340C2314yes—
226#340C2314yes—
227#340C2314yes—
228#340C2314yes—
229#336C2314yes—
230#336C2312yes—
231#336C2312yes—
232C25—21no—
233C25C2×D411yescharacteristic
234C2×#41—24no—
235C2×#41—24no—
236C2×#41—44no—
237C2×#41—44no—
238C22×Q8C2412yes—
239C22×D4—28no—
240C22×D4—24no—
241C22×D4—22no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—21no—
245C22×D4—21no—
246C22×D4—21no—
247C22×D4—22no—
248C22×D4—42no—
249C22×D4—42no—
250C22×D4—44no—
251C22×D4—44no—
252C22×D4C2×D414yes—
253C22×D4C2412yes—
254C22×D4C2412yes—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—24no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4—44no—
267C23×C4—44no—
268C23×C4—82no—
269C23×C4—82no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D412yes—
275C23×C4C2×D414yes—
276C23×C4C2×D411yescharacteristic
277C23×C4#4114yes—
278C23×C4C2411yescharacteristic
279C23×C4C2412yes—
280C2×SD16—28no—
281C2×SD16—44no—
282C2×SD16—44no—
283C2×D8—28no—
284C2×D8—44no—
285C2×D8—44no—
286C2×M16—28no—
287C2×M16—44no—
288C2×M16—44no—
289C22×C8C2414yes—
290C22×C8C2414yes—
291C4⋊Q8—42no—
292#127—42no—
293#124—44no—
294#123—48no—
295C22⋊Q8—24no—
296C22⋊Q8—24no—
297C22⋊Q8—24no—
298C22⋊Q8—24no—
299#121—216no—
300#121—28no—
301#121—24no—
302#121—24no—
303#121—24no—
304#121—24no—
305#121—44no—
306#121—44no—
307#121C2×D4116yes—
308#120—48no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—42no—
312C4×D4—42no—
313C4×D4—416no—
314C4×D4—416no—
315C4×D4—44no—
316C4×D4—44no—
317C4×D4—48no—
318C4×D4—48no—
319#117—24no—
320#117—24no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—28no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—48no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4C2×D414yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—42no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—44no—
370C2×C22⋊C4—82no—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C42—22no—
376C2×C42—24no—
377C2×C42—42no—
378C2×C42—42no—
379C2×C42—44no—
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D412yes—
383C2×C42C2411yescharacteristic
384C2×C42C2411yescharacteristic
385C2×C42C2412yes—
386#107—28no—
387#106—28no—
388C4⋊C8—44no—
389C4⋊C8—42no—
390C4⋊C8—42no—
391#103—28no—
392#103—28no—
393#103—44no—
394#102—28no—
395#102—28no—
396#102—28no—
397#102—28no—
398#102—44no—
399C22⋊C8—24no—
400C22⋊C8—28no—
401C22⋊C8—24no—
402#95—24no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95C2×D412yes—
412#95C2×D412yes—
413#95C2×D412yes—
414#95C2×D412yes—
415C24—22no—
416C24—22no—
417C24—24no—
418C24—22no—
419C24—22no—
420C24—41no—
421C24—41no—
422C24—41no—
423C24—41no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24#12114yes—
431C24C22×D412yes—
432C24C22×D411yescharacteristic
433#41—416no—
434#41—88no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—24no—
438C2×Q8—24no—
439C2×D4—216no—
440C2×D4—24no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—24no—
450C2×D4—48no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—48no—
454C2×D4—42no—
455C2×D4—48no—
456C2×D4—432no—
457C2×D4—48no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—42no—
464C2×D4—81no—
465C2×D4—81no—
466C2×D4—81no—
467C2×D4—81no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4—82no—
471C2×D4—82no—
472C2×D4C22×D414yes—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—42no—
493C22×C4—41no—
494C22×C4—42no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—48no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—48no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—82no—
517C22×C4—82no—
518C22×C4—82no—
519C22×C4—82no—
520C22×C4—84no—
521C22×C4—816no—
522C22×C4—816no—
523C22×C4#12114yes—
524C22×C4#12118yes—
525C22×C4AGL(1,ℤ/8)14yes—
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D412yes—
533C22×C4C22×D414yes—
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C2×#4112yes—
537C22×C4C2×#4114yes—
538C22×C4C2511yescharacteristic
539SD16—88no—
540D8—88no—
541M16—88no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—24no—
547C2×C8—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—24no—
557C4⋊C4—48no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4—81no—
568C4⋊C4—81no—
569C4⋊C4C22×D414yes—
570C4⋊C4H(5,𝔽2)14yes—
571C22⋊C4—216no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—48no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—84no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C42—22no—
592C42—22no—
593C42—24no—
594C42—42no—
595C42—41no—
596C42—41no—
597C42—48no—
598C42—44no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—28no—
608C23—22no—
609C23—22no—
610C23—24no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—48no—
618C23—48no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—48no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23C2×#12114yes—
638C23C2×#12112yes—
639C23C2×AGL(1,ℤ/8)12yes—
640C23#57512yes—
641C23C23×D411yescharacteristic
642Q8—44no—
643Q8—44no—
644D4—24no—
645D4—24no—
646D4—48no—
647D4—432no—
648D4—42no—
649D4—42no—
650D4—44no—
651D4—44no—
652D4—88no—
653D4—88no—
654D4—88no—
655D4—162no—
656D4—162no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—28no—
667C2×C4—28no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—24no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—24no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—22no—
683C2×C4—44no—
684C2×C4—48no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—48no—
688C2×C4—42no—
689C2×C4—48no—
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—88no—
708C2×C4—82no—
709C2×C4—82no—
710C2×C4—816no—
711C2×C4—84no—
712C2×C4C2×#12114yes—
713C2×C4C2×#12112yes—
714C2×C4C2×AGL(1,ℤ/8)12yes—
715C2×C4C2×AGL(1,ℤ/8)12yes—
716C2×C4C23×D411yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C2×C4C2×H(5,𝔽2)12yes—
719C2×C4#58512yes—
720C8—44no—
721C8—44no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—24no—
729C22—24no—
730C22—24no—
731C22—416no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—816no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22#303614yes—
752C22C22×#12111yescharacteristic
753C22#348411yescharacteristic
754C22#348511yescharacteristic
755C22C22×AGL(1,ℤ/8)11yescharacteristic
756C22C2×#57511yescharacteristic
757C22#358511yescharacteristic
758C22#358611yescharacteristic
759C4—22no—
760C4—22no—
761C4—24no—
762C4—22no—
763C4—42no—
764C4—42no—
765C4—44no—
766C4—41no—
767C4—41no—
768C4—44no—
769C4—82no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4#345912yes—
774C4#349612yes—
775C2—24no—
776C2—44no—
777C2—84no—
778C2—162no—
779C2#3498411yescharacteristic
780C2C2×#303611yescharacteristic
781C2#6042511yescharacteristic
782C2#6157111yescharacteristic
783C2#6158311yescharacteristic
784C2#6171311yescharacteristic
785C2#6171711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3194C2semidirect
2. #35032C2semidirect
3. C2×#2361C2semidirect
4. #33111C2semidirect
5. #32905C2semidirect
6. #32902C2semidirect
7. #29756C2semidirect
8. #29754C2semidirect
9. #29718C2semidirect
10. #25218C2semidirect
11. #25216C2semidirect
12. #25094C2semidirect
13. #25092C2semidirect
14. #21934C2semidirect
15. #20909C2semidirect
27. C2×#461C22semidirect
28. C2×#459C22semidirect
32. C2×#417C22semidirect
41. #2500C22semidirect
42. #2499C22semidirect
43. #2432C22semidirect
44. #2431C22semidirect
58. #2084C22semidirect
59. #2083C22semidirect
60. #2073C22semidirect
61. #2067C22semidirect
62. #2066C22semidirect
63. #2055C22semidirect
64. #2054C22semidirect
65. #2043C22semidirect
66. #2041C22semidirect
67. #2012C22semidirect
68. #1983C22semidirect
69. #1949C22semidirect
70. #1928C22semidirect
71. #1926C22semidirect
72. #1879C22semidirect
73. #1877C22semidirect
76. #1874C22semidirect
79. #1872C22semidirect
80. #1851C22semidirect
81. #1851C22semidirect
82. #1802C22semidirect
83. #1802C22semidirect
87. #1736C22semidirect
109. C2×#121D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31942
#350322
C2×#23612
#331112
#329052
#329022
#297562
#297542
#297182
#252182
#252162
#250942
#250922
#219342
#209092