Finite Group Databasebeta

← #6635484

Subgroups — #6635484

Order 512.

2046 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35019C211yesmaximal, characteristic, complemented
2C2×#2420C211yesmaximal, characteristic, complemented
3#32908C212yesmaximal, complemented
4#31945C214yesmaximal, complemented
5#31941C214yesmaximal, complemented
6#30994C214yesmaximal, complemented
7#30992C214yesmaximal, complemented
8#29761C212yesmaximal, complemented
9#28303C212yesmaximal, complemented
10#27977C212yesmaximal, complemented
11#24006C211yesmaximal, characteristic, complemented
12#24005C211yesmaximal, characteristic, complemented
13#23919C211yesmaximal, characteristic, complemented
14#23918C211yesmaximal, characteristic
15#21902C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8C2211yescharacteristic
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic, complemented
20C2×#484C2212yescomplemented
21C2×#481C2212yes—
22C2×#463C2214yescomplemented
23C2×#448C2212yescomplemented
24C2×#450C2212yescomplemented
25C2×#447C2212yes—
26C2×#447C2212yes—
27#2850C2212yes—
28#2850C2212yes—
29#2639—21no—
30#2639—21no—
31#2591—22no—
32#2561—22no—
33#2504C2212yescomplemented
34#2503C2212yescomplemented
35#2436C2212yescomplemented
36#2435C2212yescomplemented
37#2420—22no—
38#2420—22no—
39#2420C2214yes—
40#2420C2214yescomplemented
41C2×#397—21no—
42C2×#394—21no—
43#2308—21no—
44#2308—21no—
45C2×#390C2211yescharacteristic, complemented
46C2×#389C2211yescharacteristic, complemented
47C2×#386—21no—
48C2×#382C2211yescharacteristic, complemented
49C2×#381—21no—
50C2×#380C2211yescharacteristic
51C2×C4×C22⋊C4C2211yescharacteristic
52#2092C2214yescomplemented
53#2085C2214yescomplemented
54#2074C2214yescomplemented
55#2073C2214yescomplemented
56#2067C2214yescomplemented
57#2066C2214yescomplemented
58#2042C2214yescomplemented
59#2036C2214yescomplemented
60#2034C2214yescomplemented
61#2012C2214yescomplemented
62#2000C2214yes—
63#1999C2214yes—
64#1970C2214yescomplemented
65#1968C2214yescomplemented
66#1958C2214yescomplemented
67#1923C2214yescomplemented
68#1923C2214yescomplemented
69#1879C2214yescomplemented
70#1877C2214yescomplemented
71#1874C2212yes—
72#1874C2212yes—
73#1874C2212yes—
74#1874C2212yescomplemented
75#1872C2212yescomplemented
76#1872C2212yescomplemented
77#1853C2212yescomplemented
78#1852C2212yescomplemented
79#1835C2214yescomplemented
80#1804C2214yescomplemented
81#1797C2212yescomplemented
82#1787C2212yescomplemented
83#1786C2212yescomplemented
84#1779C2211yescharacteristic
85#1779C2211yescharacteristic
86C4×C22⋊C8C2212yescomplemented
87C23×Q8C2311yescharacteristic
88C23×D4—21no—
89C23×D4—21no—
90C23×D4C2311yescharacteristic
91C23×D4C2311yescharacteristic
92C24×C4—21no—
93C24×C4C2311yescharacteristic
94C22×SD16C2314yes—
95C22×D8C2314yes—
96C2×#124C2312yes—
97C2×#124C2312yes—
98C2×C22⋊Q8—21no—
99C2×C22⋊Q8—21no—
100C2×C22⋊Q8—44no—
101C2×C22⋊Q8C2312yes—
102C2×C22⋊Q8C2312yes—
103C2×#121—21no—
104C2×#121—21no—
105C2×#121—21no—
106C2×#121—21no—
107C2×#121—44no—
108C2×#121—44no—
109C2×#121C2312yes—
110C2×#121C2312yes—
111C2×#121C2312yes—
112C2×#121C2312yes—
113C2×C4×D4—22no—
114C2×C4×D4—44no—
115C2×C4×D4C2314yes—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4D411yescharacteristic
131C22×C22⋊C4D411yescharacteristic
132C22×C42C2311yescharacteristic
133C22×C42C2311yescharacteristic
134#484—44no—
135#481—44no—
136#463—48no—
137#450—44no—
138#448—44no—
139#447—44no—
140#447—44no—
141C2×#107C2314yes—
142C2×#106C2314yes—
143C2×C4⋊C8C2314yes—
144C2×#103C2314yes—
145C2×#103C2314yes—
146C2×#103C2314yes—
147C2×#102C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×C22⋊C8C2312yes—
153C2×C22⋊C8C2312yes—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C4×C8C2314yes—
159#400—22no—
160#400—22no—
161#397—22no—
162#397—22no—
163#397—24no—
164#397—24no—
165#394—24no—
166#394—24no—
167#394—22no—
168#394—22no—
169#393—22no—
170#393—22no—
171#391C2312yes—
172#391C2312yes—
173#390—22no—
174#390C2312yes—
175#390C2312yes—
176#390C2314yes—
177#389—22no—
178#389C2314yes—
179#388—22no—
180#388—22no—
181#388—22no—
182#388—22no—
183#386—22no—
184#386—22no—
185#386—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#386—22no—
191#386—24no—
192#386—24no—
193#382—22no—
194#382C2312yes—
195#382C2314yes—
196#382C2312yes—
197#381—22no—
198#381—22no—
199#381—24no—
200#381—24no—
201#380—21no—
202#380—21no—
203#380C2312yes—
204#380C2312yes—
205#379—22no—
206#379—22no—
207C4×C22⋊C4D412yes—
208C4×C22⋊C4D412yes—
209C4×C22⋊C4C2312yes—
210C4×C22⋊C4C2312yes—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215C2×#95D411yescharacteristic
216C2×#95D411yescharacteristic
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#336C2314yes—
222#336C2314yes—
223C25—21no—
224C25—21no—
225C25C2×D411yescharacteristic
226C22×Q8—21no—
227C22×Q8—42no—
228C22×Q8—42no—
229C22×Q8—42no—
230C22×Q8C2412yes—
231C22×D4—24no—
232C22×D4—22no—
233C22×D4—22no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—21no—
237C22×D4—21no—
238C22×D4—24no—
239C22×D4—42no—
240C22×D4—42no—
241C22×D4—42no—
242C22×D4—42no—
243C22×D4—44no—
244C22×D4—44no—
245C22×D4—44no—
246C22×D4—44no—
247C22×D4—44no—
248C22×D4—82no—
249C22×D4C2412yes—
250C22×D4C2412yes—
251C23×C4—24no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—24no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—82no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2411yescharacteristic
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C2×SD16—28no—
275C2×SD16—44no—
276C2×SD16—44no—
277C2×D8—28no—
278C2×D8—44no—
279C2×D8—44no—
280C22×C8C2414yes—
281C22×C8C2414yes—
282#124—44no—
283#124—44no—
284C22⋊Q8—24no—
285C22⋊Q8—24no—
286C22⋊Q8—42no—
287C22⋊Q8—42no—
288C22⋊Q8—44no—
289C22⋊Q8—44no—
290#121—24no—
291#121—24no—
292#121—24no—
293#121—24no—
294#121—42no—
295#121—42no—
296#121—42no—
297#121—42no—
298#121—44no—
299#121—44no—
300#121—44no—
301#121—44no—
302C4×D4—28no—
303C4×D4—44no—
304C4×D4—48no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—22no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—42no—
315C2×C4⋊C4—42no—
316C2×C4⋊C4—42no—
317C2×C4⋊C4—42no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—82no—
320C2×C4⋊C4C2412yes—
321C2×C4⋊C4C2412yes—
322C2×C4⋊C4C2412yes—
323C2×C4⋊C4C2412yes—
324C2×C4⋊C4C2412yes—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—22no—
327C2×C22⋊C4—22no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—22no—
330C2×C22⋊C4—22no—
331C2×C22⋊C4—22no—
332C2×C22⋊C4—22no—
333C2×C22⋊C4—22no—
334C2×C22⋊C4—22no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—42no—
346C2×C22⋊C4—44no—
347C2×C22⋊C4—44no—
348C2×C22⋊C4—44no—
349C2×C22⋊C4—44no—
350C2×C22⋊C4—82no—
351C2×C22⋊C4—82no—
352C2×C22⋊C4—82no—
353C2×C22⋊C4C2×D412yes—
354C2×C22⋊C4C2×D412yes—
355C2×C22⋊C4C2×D412yes—
356C2×C22⋊C4C2×D412yes—
357C2×C42—42no—
358C2×C42—42no—
359C2×C42C2×D412yes—
360C2×C42C2×D412yes—
361C2×C42C2412yes—
362C2×C42C2412yes—
363#107—44no—
364#106—44no—
365C4⋊C8—44no—
366#103—44no—
367#103—44no—
368#103—44no—
369#102—44no—
370#102—44no—
371#102—44no—
372#102—44no—
373#102—44no—
374C22⋊C8—24no—
375C22⋊C8—24no—
376C22⋊C8—42no—
377C22⋊C8—42no—
378C22⋊C8—42no—
379C22⋊C8—42no—
380C4×C8—44no—
381#95—22no—
382#95—22no—
383#95—24no—
384#95—24no—
385#95—24no—
386#95—22no—
387#95—22no—
388#95—22no—
389#95—22no—
390#95—22no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95C2×D412yes—
395#95C2×D412yes—
396#95C2×D412yes—
397#95C2×D412yes—
398C24—22no—
399C24—22no—
400C24—24no—
401C24—22no—
402C24—22no—
403C24—41no—
404C24—41no—
405C24—41no—
406C24—41no—
407C24—42no—
408C24—42no—
409C24—42no—
410C24—42no—
411C24—42no—
412C24—42no—
413C24—42no—
414C24—42no—
415C24—42no—
416C24—81no—
417C24—81no—
418C24—81no—
419C24—81no—
420C24#13514yes—
421C24C22×D411yescharacteristic
422C24C22×D411yescharacteristic
423C24C22×D411yescharacteristic
424C2×Q8—22no—
425C2×Q8—24no—
426C2×Q8—22no—
427C2×Q8—24no—
428C2×Q8—42no—
429C2×Q8—81no—
430C2×Q8—81no—
431C2×Q8—88no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—24no—
437C2×D4—22no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—416no—
441C2×D4—42no—
442C2×D4—42no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—42no—
454C2×D4—81no—
455C2×D4—81no—
456C2×D4—88no—
457C2×D4—82no—
458C2×D4—82no—
459C2×D4—816no—
460C2×D4—816no—
461C2×D4H(5,𝔽2)14yes—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—88no—
514C22×C4—84no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—816no—
520C22×C4C22×D412yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4H(5,𝔽2)14yes—
528C22×C4C2511yescharacteristic
529SD16—88no—
530D8—88no—
531C2×C8—24no—
532C2×C8—24no—
533C2×C8—24no—
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—24no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—84no—
553C22⋊C4—24no—
554C22⋊C4—24no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—48no—
558C22⋊C4—44no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—82no—
565C22⋊C4—82no—
566C22⋊C4—82no—
567C22⋊C4—82no—
568C22⋊C4—84no—
569C22⋊C4—84no—
570C22⋊C4—82no—
571C22⋊C4—82no—
572C22⋊C4—82no—
573C22⋊C4—82no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C42—24no—
577C42—24no—
578C42—42no—
579C42—42no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—28no—
597C23—24no—
598C23—44no—
599C23—44no—
600C23—48no—
601C23—48no—
602C23—48no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—82no—
617C23—82no—
618C23—82no—
619C23—82no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23—84no—
627C23—162no—
628C23—162no—
629C23—162no—
630C23—162no—
631C23#53512yes—
632C23C2×#13512yes—
633C23C2×#13512yes—
634C23C2×#13512yes—
635C23#57512yes—
636C23C23×D411yescharacteristic
637Q8—44no—
638Q8—44no—
639Q8—84no—
640D4—28no—
641D4—48no—
642D4—44no—
643D4—44no—
644D4—44no—
645D4—84no—
646D4—88no—
647D4—88no—
648D4—88no—
649D4—88no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—28no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—82no—
693C2×C4—82no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4—82no—
697C2×C4—82no—
698C2×C4—816no—
699C2×C4—84no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4#53512yes—
706C2×C4C2×H(5,𝔽2)12yes—
707C2×C4C2×H(5,𝔽2)12yes—
708C2×C4#58512yes—
709C8—44no—
710C8—44no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—41no—
724C22—41no—
725C22—41no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—44no—
732C22—44no—
733C22—44no—
734C22—88no—
735C22—816no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—168no—
748C22#321114yes—
749C22C2×#53511yescharacteristic
750C22#348411yescharacteristic
751C22#348511yescharacteristic
752C22C22×#13511yescharacteristic
753C22C2×#57511yescharacteristic
754C22#358511yescharacteristic
755C22#358511yescharacteristic
756C4—22no—
757C4—42no—
758C4—42no—
759C4—41no—
760C4—41no—
761C4—42no—
762C4—42no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4#353414yes—
770C2—24no—
771C2—42no—
772C2—42no—
773C2—84no—
774C2—162no—
775C2#3672111yescharacteristic
776C2C2×#321111yescharacteristic
777C2#6080811yescharacteristic
778C2#6156111yescharacteristic
779C2#6158111yescharacteristic
780C2#6169911yescharacteristic
781C2#6171011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23918C2
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. #35019C2semidirect
2. C2×#2420C2semidirect
3. #32908C2semidirect
4. #31945C2semidirect
5. #31941C2semidirect
6. #30994C2semidirect
7. #30992C2semidirect
8. #29761C2semidirect
9. #28303C2semidirect
10. #27977C2semidirect
11. #24006C2semidirect
12. #24005C2semidirect
13. #23919C2semidirect
15. #21902C2semidirect
19. C22×C4×D4C22semidirect
20. C2×#484C22semidirect
22. C2×#463C22semidirect
23. C2×#448C22semidirect
24. C2×#450C22semidirect
33. #2504C22semidirect
34. #2503C22semidirect
35. #2436C22semidirect
36. #2435C22semidirect
40. #2420C22semidirect
45. C2×#390C22semidirect
46. C2×#389C22semidirect
48. C2×#382C22semidirect
52. #2092C22semidirect
53. #2085C22semidirect
54. #2074C22semidirect
55. #2073C22semidirect
56. #2067C22semidirect
57. #2066C22semidirect
58. #2042C22semidirect
59. #2036C22semidirect
60. #2034C22semidirect
61. #2012C22semidirect
64. #1970C22semidirect
65. #1968C22semidirect
66. #1958C22semidirect
67. #1923C22semidirect
68. #1923C22semidirect
69. #1879C22semidirect
70. #1877C22semidirect
74. #1874C22semidirect
75. #1872C22semidirect
76. #1872C22semidirect
77. #1853C22semidirect
78. #1852C22semidirect
79. #1835C22semidirect
80. #1804C22semidirect
81. #1797C22semidirect
82. #1787C22semidirect
83. #1786C22semidirect
86. C4×C22⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#350192
C2×#24202
#329082
#319452
#319412
#309942
#309922
#297612
#283032
#279772
#240062
#240052
#239192
#239182
#219022