Finite Group Databasebeta

← #6765133

Subgroups — #6765133

Order 512.

1636 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic, complemented
2#36149C211yesmaximal, characteristic
3#33209C211yesmaximal, characteristic, complemented
4#32004C214yesmaximal, complemented
5#31614C214yesmaximal, complemented
6#30229C211yesmaximal, characteristic, complemented
7#29877C211yesmaximal, characteristic, complemented
8#29192C211yesmaximal, characteristic, complemented
9#28688C211yesmaximal, characteristic, complemented
10#27950C211yesmaximal, characteristic, complemented
11#27878C211yesmaximal, characteristic, complemented
12#27309C214yesmaximal, complemented
13#27159C214yesmaximal, complemented
14#25673C211yesmaximal, characteristic, complemented
15#25671C211yesmaximal, characteristic, complemented
16#22220C211yesmaximal, characteristic, complemented
17#21859C211yesmaximal, characteristic, complemented
18#21401C211yesmaximal, characteristic, complemented
19#21101C211yesmaximal, characteristic, complemented
20C2×#532C2211yescharacteristic
21C2×#532C2211yescharacteristic
22C2×#500C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#431C2211yescharacteristic
26C22×C4×C8C2211yescharacteristic
27#2862C2211yescharacteristic
28#2859C2211yescharacteristic
29#2857C2211yescharacteristic
30#2857C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2570—21no—
34#2535C2212yes—
35#2511—21no—
36#2507C2212yes—
37#2497C2212yes—
38#2487C2212yes—
39#2447—21no—
40#2447—21no—
41#2442—21no—
42#2441—21no—
43#2427—21no—
44#2427—21no—
45#2423—21no—
46#2420C2212yes—
47#2420C2212yes—
48#2417—21no—
49#2407—21no—
50#2407—21no—
51#2360—21no—
52#2352—21no—
53#2349C2212yes—
54#2345C2212yes—
55#2339—21no—
56#2339—21no—
57C4×C4⋊Q8C2211yescharacteristic
58C4×#127C2211yescharacteristic
59#2285C2211yescharacteristic
60C2×#384C2211yescharacteristic
61C42×D4C2211yescharacteristic
62#2101C2214yes—
63#2101C2214yes—
64#2088C2214yes—
65#2085C2214yes—
66#2083C2214yes—
67#2077C2214yes—
68#2076C2214yes—
69#2067C2214yes—
70#2034C2214yes—
71#2033C2214yes—
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1990C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1949C2214yes—
83#1942C2214yes—
84#1925C2214yes—
85#1923C2212yes—
86#1921C2214yes—
87#1916C2212yes—
88#1893C2214yes—
89#1874C2214yes—
90#1869C2212yes—
91#1864C2214yes—
92#1862C2214yes—
93#1862C2214yes—
94#1862C2214yes—
95#1852C2214yes—
96#1850C2212yes—
97#1845C2211yescharacteristic
98#1845C2211yescharacteristic
99#1834C2211yescharacteristic
100#1808C2214yes—
101#1802C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103C4×#102C2214yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106#1744C2211yescharacteristic
107C22×#41—21no—
108C22×#41—21no—
109C23×C8C2312yes—
110#532—24no—
111#532—24no—
112#532—42no—
113#532—42no—
114C2×C4⋊Q8C2311yescharacteristic
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×#127C2311yescharacteristic
118C2×#125—21no—
119C2×#124—21no—
120C2×#124—21no—
121C2×C22⋊Q8—21no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×#121—21no—
126C2×#121—21no—
127C2×#121C2312yes—
128C2×#121C2312yes—
129C2×C4×Q8—21no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4D411yescharacteristic
135C2×C4×D4D411yescharacteristic
136C2×C4×D4C2312yes—
137C2×C4×D4C2312yes—
138C2×C4×D4C2312yes—
139C2×C4×D4C2311yescharacteristic
140C2×#117—21no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4—21no—
143C22×C4⋊C4C2312yes—
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#500—42no—
147#498—42no—
148#486—24no—
149#431—42no—
150C2×#107C2314yes—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#106C2314yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C4×C8—42no—
164C2×C4×C8C2311yescharacteristic
165C2×C4×C8C2311yescharacteristic
166C2×C4×C8C2311yescharacteristic
167C2×C4×C8C2311yescharacteristic
168C2×C4×C8C2312yes—
169#400—22no—
170#400—22no—
171#399—22no—
172#398—22no—
173#398—22no—
174#397—22no—
175#397—22no—
176#397—22no—
177#396—22no—
178#394—22no—
179#394—22no—
180#392—22no—
181#391—21no—
182#391—21no—
183#391—21no—
184#391—21no—
185#391—21no—
186#391—21no—
187#391—21no—
188#391—21no—
189#391—21no—
190#390—21no—
191#390—21no—
192#390C2312yes—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389—21no—
199#389—21no—
200#389—22no—
201#389C2312yes—
202#389C2312yes—
203#389C2312yes—
204#389C2312yes—
205#389C2312yes—
206#389C2312yes—
207#389C2312yes—
208#388—22no—
209#387—22no—
210#387—22no—
211#387—22no—
212#387—22no—
213#386—22no—
214#386—22no—
215#386—22no—
216#386—22no—
217#386—22no—
218#385—22no—
219#385—22no—
220#385—22no—
221#384—21no—
222#384—21no—
223#384C2311yescharacteristic
224#384C2311yescharacteristic
225#384C2312yes—
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#382—21no—
229#382—21no—
230#382C2312yes—
231#382C2312yes—
232#381—22no—
233#381—22no—
234#380—21no—
235#380—21no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—22no—
240#380—22no—
241#380C2312yes—
242#380C2312yes—
243#380C2312yes—
244#380C2312yes—
245#380C2312yes—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4D411yescharacteristic
249C4×C4⋊C4D411yescharacteristic
250C4×C4⋊C4C2312yes—
251C4×C4⋊C4C2312yes—
252C4×C4⋊C4C2311yescharacteristic
253C4×C22⋊C4—22no—
254C4×C22⋊C4D411yescharacteristic
255C4×C22⋊C4D411yescharacteristic
256C4×C22⋊C4D411yescharacteristic
257C4×C22⋊C4D411yescharacteristic
258C4×C22⋊C4C2311yescharacteristic
259C4×C22⋊C4C2311yescharacteristic
260C2×#95—22no—
261C43C2311yescharacteristic
262#340C2314yes—
263#340C2314yes—
264#340C2314yes—
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#336C2312yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275C2×#41—44no—
276C2×#41—44no—
277C2×#41—44no—
278C2×#41—44no—
279C2×#41—82no—
280C2×#41—82no—
281C22×Q8—21no—
282C22×Q8—21no—
283C22×Q8—21no—
284C22×D4—22no—
285C22×D4—22no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4C2×D411yescharacteristic
289C22×D4C2412yes—
290C23×C4—22no—
291C23×C4—22no—
292C23×C4—22no—
293C23×C4—22no—
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2411yescharacteristic
299C23×C4C2411yescharacteristic
300C22×C8—24no—
301C22×C8—42no—
302C22×C8—42no—
303C22×C8C2412yes—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C4⋊Q8—22no—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313#127—22no—
314#127#4114yes—
315#125—82no—
316#124—44no—
317#124—44no—
318C22⋊Q8—44no—
319C22⋊Q8—82no—
320C22⋊Q8—82no—
321C22⋊Q8—82no—
322#121—24no—
323#121—24no—
324#121—42no—
325#121—42no—
326#121—44no—
327#121—44no—
328C4×Q8—82no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—24no—
332C4×D4—24no—
333C4×D4—44no—
334C4×D4—42no—
335C4×D4—42no—
336C4×D4—42no—
337C4×D4—44no—
338C4×D4—44no—
339C4×D4—82no—
340C4×D4—82no—
341#117—82no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—44no—
364C2×C4⋊C4—82no—
365C2×C4⋊C4—82no—
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2×D411yescharacteristic
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
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⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—22no—
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413#107—44no—
414#107—44no—
415#107—44no—
416#106—44no—
417C4⋊C8—24no—
418C4⋊C8—42no—
419#102—28no—
420#102—28no—
421#102—44no—
422#102—44no—
423C22⋊C8—24no—
424C22⋊C8—42no—
425C22⋊C8—42no—
426C4×C8—22no—
427C4×C8—22no—
428C4×C8—22no—
429C4×C8—22no—
430C4×C8—42no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
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#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455C24—22no—
456C24C22×D411yescharacteristic
457C24C22×D411yescharacteristic
458#41—816no—
459#41—816no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—22no—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—41no—
477C2×D4—44no—
478C2×D4—44no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—82no—
486C2×D4—82no—
487C2×D4C2×#4114yes—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
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—22no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—82no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4—82no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4#13514yes—
526C22×C4#13714yes—
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×C4C2511yescharacteristic
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
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—48no—
552C2×C82−1+414yes—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
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—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—44no—
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—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—21no—
614C42—21no—
615C42—21no—
616C42—21no—
617C42—22no—
618C42—22no—
619C42—82no—
620C42—82no—
621C42C2×#4112yes—
622C42H(5,𝔽2)12yes—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
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—
642C23C2×#13512yes—
643C23C2×#13712yes—
644C23C23×D411yescharacteristic
645Q8—84no—
646Q8—84no—
647Q8—84no—
648D4—28no—
649D4—44no—
650D4—44no—
651D4—48no—
652D4—48no—
653D4—88no—
654D4—88no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—28no—
660C2×C4—28no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
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—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
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—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—88no—
713C2×C4—88no—
714C2×C4—164no—
715C2×C4—164no—
716C2×C4#54612yes—
717C2×C4#54612yes—
718C2×C4C2×#13512yes—
719C2×C4C2×#13512yes—
720C2×C4C2×#13712yes—
721C2×C4C2×#13712yes—
722C2×C4#57612yes—
723C2×C4#57612yes—
724C2×C4C22×#4111yescharacteristic
725C2×C4C2×H(5,𝔽2)11yescharacteristic
726C2×C4C2×2−1+412yes—
727C2×C4#58512yes—
728C8—24no—
729C8—42no—
730C8—42no—
731C8—42no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—44no—
747C22—44no—
748C22—44no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22#344911yescharacteristic
754C22C2×#54611yescharacteristic
755C22#349911yescharacteristic
756C22C22×#13511yescharacteristic
757C22C22×#13711yescharacteristic
758C22C2×#57611yescharacteristic
759C22C2×#57611yescharacteristic
760C4—22no—
761C4—22no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—41no—
766C4—41no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4#329714yes—
778C4#331414yes—
779C4#351512yes—
780C4#354112yes—
781C2—42no—
782C2—42no—
783C2—84no—
784C2#3808811yescharacteristic
785C2#6094711yescharacteristic
786C2#6101111yescharacteristic
787C2C2×#329711yescharacteristic
788C2C2×#331411yescharacteristic
789C2#6247411yescharacteristic
790C2#6248011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36149C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36189C2semidirect
3. #33209C2semidirect
4. #32004C2semidirect
5. #31614C2semidirect
6. #30229C2semidirect
7. #29877C2semidirect
8. #29192C2semidirect
9. #28688C2semidirect
10. #27950C2semidirect
11. #27878C2semidirect
12. #27309C2semidirect
13. #27159C2semidirect
14. #25673C2semidirect
15. #25671C2semidirect
16. #22220C2semidirect
17. #21859C2semidirect
18. #21401C2semidirect
19. #21101C2semidirect

Maximal subgroups

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

subgroupindex
#361892
#361492
#332092
#320042
#316142
#302292
#298772
#291922
#286882
#279502
#278782
#273092
#271592
#256732
#256712
#222202
#218592
#214012
#211012