Finite Group Databasebeta

← #6488715

Subgroups — #6488715

Order 512.

1808 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35288C211yesmaximal, characteristic, complemented
2#34207C211yesmaximal, characteristic, complemented
3#33013C214yesmaximal, complemented
4#30141C214yesmaximal, complemented
5#29380C214yesmaximal, complemented
6#29191C211yesmaximal, characteristic, complemented
7#29190C211yesmaximal, characteristic, complemented
8#28615C211yesmaximal, characteristic, complemented
9#28614C211yesmaximal, characteristic, complemented
10#28127C214yesmaximal, complemented
11#27960C211yesmaximal, characteristic, complemented
12#27906C211yesmaximal, characteristic, complemented
13#25857C211yesmaximal, characteristic, complemented
14#25720C211yesmaximal, characteristic
15#22269C211yesmaximal, characteristic, complemented
16#22268C211yesmaximal, characteristic, complemented
17#22219C211yesmaximal, characteristic, complemented
18#22218C211yesmaximal, characteristic, complemented
19#20782C211yesmaximal, characteristic, complemented
20C2×#532C2211yescharacteristic
21C2×#520C2212yes—
22C2×#493C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#481C2214yes—
27C2×#449C2214yes—
28#2859C2211yescharacteristic
29#2858C2211yescharacteristic
30#2857C2211yescharacteristic
31#2856C2211yescharacteristic
32#2644C2212yes—
33#2624C2212yes—
34#2513—21no—
35#2490—21no—
36#2454—21no—
37#2448—21no—
38#2447—21no—
39#2427—21no—
40#2426—21no—
41#2420—21no—
42#2361—21no—
43#2361—21no—
44#2361—21no—
45#2361—21no—
46#2354—21no—
47#2354—21no—
48D4×C4⋊C4—21no—
49D4×C4⋊C4—21no—
50#2326C2212yes—
51#2326C2212yes—
52#2324C2212yes—
53#2319C2212yes—
54#2311C2212yes—
55C4×C4⋊Q8C2211yescharacteristic
56C4×C4⋊Q8C2211yescharacteristic
57C4×C4⋊Q8C2211yescharacteristic
58C4×#127C2211yescharacteristic
59C4×#127C2211yescharacteristic
60C4×#127C2211yescharacteristic
61C2×#384C2211yescharacteristic
62C4×#117C2211yescharacteristic
63#2099C2214yes—
64#2094C2214yes—
65#2066C2214yes—
66#2065C2214yes—
67#2055C2214yes—
68#2054C2214yes—
69#2042C2214yes—
70#2012C2214yes—
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1957C2211yescharacteristic
74#1957C2211yescharacteristic
75#1957C2211yescharacteristic
76#1957C2211yescharacteristic
77#1956C2211yescharacteristic
78#1956C2211yescharacteristic
79#1927C2214yes—
80#1926C2214yes—
81#1880C2214yes—
82#1880C2214yes—
83#1879C2214yes—
84#1879C2214yes—
85#1879C2214yes—
86#1877C2214yes—
87#1865C2214yes—
88#1865C2214yes—
89#1864C2214yes—
90#1864C2214yes—
91#1844C2211yescharacteristic
92#1844C2211yescharacteristic
93#1840C2212yes—
94#1834C2211yescharacteristic
95#1834C2211yescharacteristic
96#1832C2212yes—
97#1823C2214yes—
98#1818C2212yes—
99#1798C2212yes—
100#1788C2214yes—
101C4×C4⋊C8C2211yescharacteristic
102C4×C4⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105#1744C2211yescharacteristic
106#1744C2211yescharacteristic
107C22×#41C2312yes—
108C22×SD16C2314yes—
109C22×D8C2314yes—
110#532—24no—
111#532—24no—
112C2×C4⋊Q8C2311yescharacteristic
113C2×C4⋊Q8C2311yescharacteristic
114C2×#127C2311yescharacteristic
115C2×#127C2311yescharacteristic
116C2×#125—21no—
117C2×#124—21no—
118C2×#124—21no—
119C2×#124C2312yes—
120C2×C22⋊Q8—21no—
121C2×#121—21no—
122C2×#121—21no—
123C2×#121—21no—
124C2×#121—21no—
125C2×#121C2312yes—
126#520—48no—
127C2×C4×Q8—21no—
128C2×C4×Q8C2312yes—
129C2×C4×Q8C2312yes—
130C2×C4×D4—22no—
131C2×C4×D4—22no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4—21no—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4C2312yes—
141C2×C4×D4C2312yes—
142C2×C4×D4C2312yes—
143C2×#117—22no—
144C2×#117C2311yescharacteristic
145C2×#117C2311yescharacteristic
146C22×C4⋊C4—21no—
147C22×C4⋊C4—21no—
148C22×C4⋊C4—22no—
149C22×C4⋊C4C2312yes—
150C22×C42C2311yescharacteristic
151#493—24no—
152#492—24no—
153#487—24no—
154#486—24no—
155#481—48no—
156#449—48no—
157C2×#106C2314yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2312yes—
160C2×C4⋊C8C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175#399—22no—
176#397—22no—
177#397—22no—
178#397—22no—
179#397—22no—
180#396—22no—
181#394—22no—
182#394—22no—
183#391—21no—
184#391—21no—
185#391C2312yes—
186#391C2312yes—
187#390—22no—
188#390—21no—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390—21no—
194#390—21no—
195#390—21no—
196#390—21no—
197#390—21no—
198#390C2312yes—
199#390C2312yes—
200#390C2312yes—
201#390C2312yes—
202#390C2312yes—
203#390C2312yes—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—21no—
212#389C2312yes—
213#389C2312yes—
214#389C2312yes—
215#389C2312yes—
216#388—22no—
217#388—22no—
218#388—22no—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#386—22no—
224#386—22no—
225#386—22no—
226#385—22no—
227#385—22no—
228#385—22no—
229#385—22no—
230#385—22no—
231#384—21no—
232#384—21no—
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2311yescharacteristic
237#384C2312yes—
238#382—21no—
239#381—22no—
240#380—21no—
241#380—22no—
242#380—22no—
243#380—22no—
244#380C2312yes—
245C4×C4⋊C4—21no—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4D411yescharacteristic
253C4×C4⋊C4D411yescharacteristic
254C4×C4⋊C4C2312yes—
255C4×C22⋊C4D411yescharacteristic
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259#376C2311yescharacteristic
260#376C2311yescharacteristic
261C43C2311yescharacteristic
262C43C2311yescharacteristic
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#336C2312yes—
268#336C2312yes—
269#336C2312yes—
270#336C2312yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275C2×#41—24no—
276C2×#41—24no—
277C2×#41—28no—
278C2×#41—44no—
279C22×Q8—21no—
280C22×Q8C2412yes—
281C22×D4—22no—
282C22×D4—22no—
283C22×D4—21no—
284C22×D4—21no—
285C22×D4—21no—
286C22×D4—21no—
287C22×D4C2412yes—
288C22×D4C2412yes—
289C23×C4—22no—
290C23×C4—22no—
291C23×C4—22no—
292C23×C4—22no—
293C23×C4—22no—
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C2×SD16—28no—
298C2×SD16—44no—
299C2×SD16—44no—
300C2×D8—28no—
301C2×D8—44no—
302C2×D8—44no—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8#4114yes—
311#127—22no—
312#127—22no—
313#127—22no—
314#127#4114yes—
315#125—82no—
316#124—24no—
317#124—24no—
318#124—82no—
319#124—82no—
320C22⋊Q8—82no—
321#121—28no—
322#121—28no—
323#121—28no—
324#121—82no—
325#121—82no—
326C4×Q8—44no—
327C4×Q8—44no—
328C4×Q8—82no—
329C4×D4—28no—
330C4×D4—28no—
331C4×D4—44no—
332C4×D4—44no—
333C4×D4—44no—
334C4×D4—48no—
335C4×D4—48no—
336C4×D4—82no—
337C4×D4—82no—
338C4×D4—82no—
339C4×D4—82no—
340C4×D4—82no—
341C4×D4—82no—
342#117—24no—
343#117—42no—
344#117—48no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—28no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—48no—
367C2×C4⋊C4—82no—
368C2×C4⋊C4—82no—
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422#106—44no—
423#106—44no—
424C4⋊C8—42no—
425C4⋊C8—42no—
426#103—28no—
427#103—44no—
428#103—44no—
429#102—28no—
430#102—44no—
431#102—44no—
432#102—44no—
433#102—44no—
434C22⋊C8—24no—
435C22⋊C8—24no—
436C4×C8—22no—
437C4×C8—22no—
438C4×C8—22no—
439C4×C8—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458C24—22no—
459C24—22no—
460C24C22×D411yescharacteristic
461#41—416no—
462#41—416no—
463C2×Q8—22no—
464C2×Q8—24no—
465C2×Q8—24no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8C2×#4114yes—
470C2×D4—28no—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—24no—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—24no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—82no—
494C2×D4—82no—
495C2×D4C2×#4114yes—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—22no—
499C22×C4—28no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—82no—
519C22×C4—82no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4H(5,𝔽2)14yes—
540C22×C4C2511yescharacteristic
541SD16—88no—
542D8—88no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C4⋊C4—24no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—41no—
566C4⋊C4—41no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—82no—
580C4⋊C4—82no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C22⋊C4—28no—
586C22⋊C4—28no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—21no—
619C42—21no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—22no—
624C42—44no—
625C42—44no—
626C42—82no—
627C42C2×#4112yes—
628C42C2×#4112yes—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—24no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23#53512yes—
650C23C23×D411yescharacteristic
651Q8—28no—
652Q8—44no—
653Q8—84no—
654D4—28no—
655D4—416no—
656D4—48no—
657D4—48no—
658D4—44no—
659D4—44no—
660D4—44no—
661D4—84no—
662D4—84no—
663D4—164no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—24no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—416no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
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—42no—
718C2×C4—42no—
719C2×C4—164no—
720C2×C4—164no—
721C2×C4—164no—
722C2×C4—164no—
723C2×C4#52512yes—
724C2×C4#52512yes—
725C2×C4#53512yes—
726C2×C4#57612yes—
727C2×C4#57712yes—
728C2×C4#57712yes—
729C2×C4#57712yes—
730C2×C4C22×#4111yescharacteristic
731C2×C4C22×#4111yescharacteristic
732C2×C4C2×H(5,𝔽2)12yes—
733C2×C4#58512yes—
734C8—42no—
735C8—42no—
736C8—42no—
737C8—42no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22C2×#52511yescharacteristic
760C22C2×#53511yescharacteristic
761C22#344911yescharacteristic
762C22C2×#57611yescharacteristic
763C22C2×#57711yescharacteristic
764C22C2×#57711yescharacteristic
765C22C2×#57711yescharacteristic
766C4—22no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—41no—
775C4—41no—
776C4—41no—
777C4—44no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4#311914yes—
784C4#312514yes—
785C4#351312yes—
786C4#351312yes—
787C2—42no—
788C2—84no—
789C2—162no—
790C2#3523311yescharacteristic
791C2C2×#311911yescharacteristic
792C2C2×#312511yescharacteristic
793C2#6082011yescharacteristic
794C2#6082211yescharacteristic
795C2#6100611yescharacteristic
796C2#6101511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#25720C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35288C2semidirect
2. #34207C2semidirect
3. #33013C2semidirect
4. #30141C2semidirect
5. #29380C2semidirect
6. #29191C2semidirect
7. #29190C2semidirect
8. #28615C2semidirect
9. #28614C2semidirect
10. #28127C2semidirect
11. #27960C2semidirect
12. #27906C2semidirect
13. #25857C2semidirect
15. #22269C2semidirect
16. #22268C2semidirect
17. #22219C2semidirect
18. #22218C2semidirect
19. #20782C2semidirect

Maximal subgroups

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

subgroupindex
#352882
#342072
#330132
#301412
#293802
#291912
#291902
#286152
#286142
#281272
#279602
#279062
#258572
#257202
#222692
#222682
#222192
#222182
#207822