Finite Group Databasebeta

← #6634945

Subgroups — #6634945

Order 512.

2124 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35032C211yesmaximal, characteristic, complemented
2C2×#2426C211yesmaximal, characteristic, complemented
3#32906C211yesmaximal, characteristic, complemented
4#32903C211yesmaximal, characteristic, complemented
5#31848C214yesmaximal, complemented
6#31844C214yesmaximal, complemented
7#30458C214yesmaximal, complemented
8#30451C214yesmaximal, complemented
9#29714C211yesmaximal, characteristic, complemented
10#29712C211yesmaximal, characteristic, complemented
11#29330C212yesmaximal, complemented
12#25724C212yesmaximal, complemented
13#23922C212yesmaximal, complemented
14#23920C212yesmaximal, complemented
15#21902C211yesmaximal, characteristic, complemented
16C22×#124C2211yescharacteristic
17C2×#525C2212yes—
18C22×C22⋊Q8C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×C4×Q8C2211yescharacteristic
21C2×#495C2214yescomplemented
22C2×#462C2212yescomplemented
23C2×#460C2212yescomplemented
24C2×#452C2214yescomplemented
25C2×#449C2214yes—
26C2×#451C2212yes—
27C2×#448C2212yes—
28C2×#450C2212yes—
29C2×#447C2212yes—
30#2857C2211yescharacteristic
31#2856C2211yescharacteristic
32#2850C2212yes—
33#2617—21no—
34#2617—21no—
35#2602—22no—
36#2602—22no—
37#2500C2212yescomplemented
38#2499C2212yescomplemented
39#2432C2212yescomplemented
40#2431C2212yescomplemented
41#2426—22no—
42#2426—22no—
43#2426C2214yes—
44#2426C2214yes—
45C2×#396—21no—
46C2×#394—21no—
47#2325—21no—
48#2325—21no—
49C2×#390—21no—
50C2×#390C2211yescharacteristic
51C2×#389C2211yescharacteristic
52C2×#388—21no—
53C2×C4×C22⋊C4C2211yescharacteristic
54#2101C2214yescomplemented
55#2071C2212yescomplemented
56#2071C2212yescomplemented
57#2055C2214yescomplemented
58#2054C2214yescomplemented
59#2042C2214yescomplemented
60#2015C2214yescomplemented
61#2013C2212yescomplemented
62#2012C2214yescomplemented
63#2011C2212yescomplemented
64#2001C2214yescomplemented
65#2000C2214yes—
66#2000C2214yescomplemented
67#1999C2214yes—
68#1958C2214yescomplemented
69#1934C2214yescomplemented
70#1933C2214yescomplemented
71#1923C2214yescomplemented
72#1923C2214yescomplemented
73#1880C2214yescomplemented
74#1878C2214yescomplemented
75#1875C2214yes—
76#1874C2212yes—
77#1874C2212yes—
78#1873C2214yescomplemented
79#1872C2212yes—
80#1872C2212yes—
81#1803C2212yescomplemented
82#1803C2212yescomplemented
83#1797C2211yescharacteristic
84#1797C2211yescharacteristic
85#1779C2212yes—
86C4×C22⋊C8C2212yes—
87C22×#41C2312yes—
88C23×Q8C2311yescharacteristic
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C22×Q16C2314yes—
93C22×SD16C2314yes—
94C22×SD16C2314yes—
95C22×D8C2314yes—
96C2×C4⋊Q8C2311yescharacteristic
97C2×#127C2311yescharacteristic
98C2×#124—22no—
99C2×#124—44no—
100C2×#124C2314yes—
101C2×#124C2312yes—
102#525—44no—
103#525—44no—
104C2×#123—22no—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—44no—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2314yes—
109C2×C22⋊Q8C2312yes—
110C2×#121—21no—
111C2×#121—21no—
112C2×#121—22no—
113C2×#121—44no—
114C2×#121C2312yes—
115C2×#121C2314yes—
116C2×#121C2312yes—
117C2×#120—22no—
118C2×C4×Q8—21no—
119C2×C4×Q8—21no—
120C2×C4×Q8—44no—
121C2×C4×Q8C2312yes—
122C2×C4×Q8C2312yes—
123C2×C4×D4—22no—
124C2×C4×D4—22no—
125C2×#117C2312yes—
126C22×C4⋊C4—21no—
127C22×C4⋊C4—21no—
128C22×C4⋊C4—21no—
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
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#495—48no—
143#462—44no—
144#460—44no—
145#452—48no—
146#451—44no—
147#450—44no—
148#449—48no—
149#448—44no—
150#447—44no—
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2314yes—
165C2×C4×C8C2314yes—
166#397—22no—
167#397—22no—
168#396—24no—
169#396—24no—
170#394—22no—
171#394—22no—
172#394—22no—
173#394—22no—
174#394—24no—
175#394—24no—
176#392—22no—
177#392—22no—
178#391C2312yes—
179#391C2312yes—
180#390—24no—
181#390—24no—
182#390—21no—
183#390—21no—
184#390—21no—
185#390—21no—
186#390C2312yes—
187#390C2312yes—
188#390C2312yes—
189#390C2312yes—
190#389—21no—
191#389—21no—
192#389—22no—
193#389C2314yes—
194#388—22no—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—24no—
199#388—24no—
200#387—22no—
201#387—22no—
202#386—22no—
203#386—22no—
204#386—22no—
205#386—22no—
206#385—22no—
207#385—22no—
208#384C2311yescharacteristic
209#384C2311yescharacteristic
210#382C2312yes—
211#380—21no—
212#380—21no—
213C4×C22⋊C4D412yes—
214C4×C22⋊C4D412yes—
215C4×C22⋊C4C2312yes—
216C4×C22⋊C4C2312yes—
217C2×#95—21no—
218C2×#95D411yescharacteristic
219C2×#95D411yescharacteristic
220#340C2314yes—
221#340C2314yes—
222#340C2314yes—
223#340C2314yes—
224#336C2312yes—
225#336C2312yes—
226#336C2314yes—
227C25—21no—
228C25C2×D411yescharacteristic
229C2×#41—42no—
230C2×#41—42no—
231C2×#41—44no—
232C2×#41—44no—
233C22×Q8—24no—
234C22×Q8—21no—
235C22×Q8—22no—
236C22×Q8—22no—
237C22×Q8—42no—
238C22×Q8C2412yes—
239C22×Q8C2412yes—
240C22×D4—22no—
241C22×D4—24no—
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—21no—
245C22×D4—21no—
246C22×D4—21no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—42no—
250C22×D4—42no—
251C22×D4—44no—
252C22×D4—44no—
253C22×D4—82no—
254C22×D4C2412yes—
255C22×D4C2412yes—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—21no—
261C23×C4—22no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D412yes—
269C23×C4C2×D411yescharacteristic
270C23×C4C2412yes—
271C23×C4C2411yescharacteristic
272C2×Q16—28no—
273C2×Q16—44no—
274C2×Q16—44no—
275C2×SD16—28no—
276C2×SD16—44no—
277C2×SD16—44no—
278C2×SD16—44no—
279C2×SD16—44no—
280C2×SD16—44no—
281C2×D8—44no—
282C2×D8—44no—
283C2×D8—44no—
284C22×C8C2414yes—
285C22×C8C2414yes—
286C4⋊Q8—42no—
287#127—42no—
288#124—28no—
289#124—44no—
290#124—44no—
291#124—48no—
292#123—48no—
293C22⋊Q8—28no—
294C22⋊Q8—24no—
295C22⋊Q8—24no—
296C22⋊Q8—44no—
297C22⋊Q8—42no—
298C22⋊Q8—42no—
299C22⋊Q8—48no—
300#121—24no—
301#121—24no—
302#121—28no—
303#121—44no—
304#121—42no—
305#121—42no—
306#121—48no—
307#121—44no—
308#121—44no—
309#120—48no—
310C4×Q8—24no—
311C4×Q8—24no—
312C4×Q8—42no—
313C4×Q8—42no—
314C4×Q8—44no—
315C4×Q8—44no—
316C4×D4—48no—
317C4×D4—48no—
318#117—42no—
319#117—42no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—82no—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—24no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
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—22no—
363C2×C22⋊C4—42no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C22⋊C4—82no—
370C2×C22⋊C4C2×D412yes—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C22⋊C4C2×D412yes—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—42no—
378C2×C42—42no—
379C2×C42—44no—
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D412yes—
383C2×C42C2411yescharacteristic
384C2×C42C2411yescharacteristic
385C2×C42C2412yes—
386C4⋊C8—42no—
387C4⋊C8—42no—
388#103—28no—
389#103—44no—
390#103—44no—
391#103—44no—
392#102—28no—
393#102—44no—
394#102—44no—
395#102—44no—
396C22⋊C8—24no—
397C22⋊C8—24no—
398C22⋊C8—44no—
399C22⋊C8—44no—
400C4×C8—44no—
401#95—24no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407#95—22no—
408#95C2×D412yes—
409#95C2×D412yes—
410#95C2×D412yes—
411#95C2×D412yes—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—22no—
417C24—41no—
418C24—41no—
419C24—41no—
420C24—41no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24C22×D412yes—
429C24C22×D411yescharacteristic
430#41—88no—
431#41—88no—
432C2×Q8—24no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—24no—
439C2×Q8—24no—
440C2×Q8—22no—
441C2×Q8—22no—
442C2×Q8—48no—
443C2×Q8—48no—
444C2×Q8—42no—
445C2×Q8—42no—
446C2×Q8H(5,𝔽2)14yes—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—24no—
455C2×D4—48no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—48no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—84no—
468C2×D4—84no—
469C2×D4—81no—
470C2×D4—81no—
471C2×D4—81no—
472C2×D4—81no—
473C2×D4—82no—
474C2×D4—82no—
475C2×D4—84no—
476C2×D4—82no—
477C2×D4—82no—
478C2×D4—816no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—41no—
510C22×C4—44no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—84no—
519C22×C4—84no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4#13514yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4H(5,𝔽2)12yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4C2511yescharacteristic
534Q16—88no—
535SD16—88no—
536SD16—88no—
537D8—88no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—48no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4—84no—
562C4⋊C4—81no—
563C4⋊C4—81no—
564C4⋊C4H(5,𝔽2)14yes—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C42—24no—
589C42—22no—
590C42—22no—
591C42—41no—
592C42—41no—
593C42—42no—
594C42—44no—
595C42—44no—
596C42—44no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—82no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23#53512yes—
637C23C2×#13512yes—
638C23#57512yes—
639C23C23×D411yescharacteristic
640Q8—24no—
641Q8—24no—
642Q8—48no—
643Q8—42no—
644Q8—42no—
645Q8—44no—
646Q8—44no—
647D4—44no—
648D4—44no—
649D4—44no—
650D4—44no—
651D4—84no—
652D4—816no—
653D4—88no—
654D4—88no—
655D4—88no—
656D4—162no—
657D4—162no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—24no—
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—48no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—44no—
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—84no—
705C2×C4—82no—
706C2×C4—82no—
707C2×C4—82no—
708C2×C4—82no—
709C2×C4—88no—
710C2×C4—84no—
711C2×C4#53512yes—
712C2×C4C2×#13512yes—
713C2×C4C2×#13512yes—
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C2×C4C2×H(5,𝔽2)11yescharacteristic
716C2×C4C2×H(5,𝔽2)12yes—
717C2×C4C2×H(5,𝔽2)12yes—
718C8—44no—
719C8—44no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—88no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—168no—
749C22#321214yes—
750C22C2×#53511yescharacteristic
751C22#348411yescharacteristic
752C22#348411yescharacteristic
753C22C22×#13511yescharacteristic
754C22C2×#57511yescharacteristic
755C22#358511yescharacteristic
756C22#358611yescharacteristic
757C4—22no—
758C4—22no—
759C4—22no—
760C4—42no—
761C4—44no—
762C4—42no—
763C4—42no—
764C4—41no—
765C4—41no—
766C4—44no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4—82no—
771C4#353712yes—
772C4#353712yes—
773C2—24no—
774C2—82no—
775C2—162no—
776C2—162no—
777C2#3671711yescharacteristic
778C2C2×#321211yescharacteristic
779C2#6081011yescharacteristic
780C2#6156411yescharacteristic
781C2#6156611yescharacteristic
782C2#6157811yescharacteristic
783C2#6158111yescharacteristic
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. #35032C2semidirect
2. C2×#2426C2semidirect
3. #32906C2semidirect
4. #32903C2semidirect
5. #31848C2semidirect
6. #31844C2semidirect
7. #30458C2semidirect
8. #30451C2semidirect
9. #29714C2semidirect
10. #29712C2semidirect
11. #29330C2semidirect
12. #25724C2semidirect
13. #23922C2semidirect
14. #23920C2semidirect
15. #21902C2semidirect
21. C2×#495C22semidirect
22. C2×#462C22semidirect
23. C2×#460C22semidirect
24. C2×#452C22semidirect
37. #2500C22semidirect
38. #2499C22semidirect
39. #2432C22semidirect
40. #2431C22semidirect
54. #2101C22semidirect
55. #2071C22semidirect
56. #2071C22semidirect
57. #2055C22semidirect
58. #2054C22semidirect
59. #2042C22semidirect
60. #2015C22semidirect
61. #2013C22semidirect
62. #2012C22semidirect
63. #2011C22semidirect
64. #2001C22semidirect
66. #2000C22semidirect
68. #1958C22semidirect
69. #1934C22semidirect
70. #1933C22semidirect
71. #1923C22semidirect
72. #1923C22semidirect
73. #1880C22semidirect
74. #1878C22semidirect
78. #1873C22semidirect
81. #1803C22semidirect
82. #1803C22semidirect

Maximal subgroups

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

subgroupindex
#350322
C2×#24262
#329062
#329032
#318482
#318442
#304582
#304512
#297142
#297122
#293302
#257242
#239222
#239202
#219022