Finite Group Databasebeta

← #8893371

Subgroups — #8893371

Order 512.

5512 conjugacy classes of subgroups.

The subgroup lattice has 1447 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#56767C214yesmaximal, complemented
2#55812C214yesmaximal, complemented
3#53917C214yesmaximal, complemented
4#51538C214yesmaximal, complemented
5#50867C212yesmaximal, complemented
6#49607C214yesmaximal, complemented
7#48773C212yesmaximal, complemented
8#47394C214yesmaximal, complemented
9#47169C214yesmaximal, complemented
10#47061C214yesmaximal, complemented
11#46457C212yesmaximal, complemented
12#46426C212yesmaximal, complemented
13#46357C212yesmaximal, complemented
14#38661C214yesmaximal, complemented
15#38044C214yesmaximal, complemented
16#37957C212yesmaximal, complemented
17#37932C212yesmaximal, complemented
18#36822C212yesmaximal, complemented
19#36718C211yesmaximal, characteristic, complemented
20#35616C212yesmaximal, complemented
21#35584C211yesmaximal, characteristic, complemented
22#35440C212yesmaximal, complemented
23#35347C211yesmaximal, characteristic
24C22×H(5,𝔽2)C2211yescharacteristic
25C2×#563C2212yescomplemented
26C2×#551C2212yescomplemented
27C2×#544C2211yescharacteristic, complemented
28C2×#543C2211yescharacteristic, complemented
29C2×#536C2212yes—
30C2×#536C2212yescomplemented
31C2×#534C2211yescharacteristic
32C2×#534C2211yescharacteristic
33C22×#124C2212yescomplemented
34C22×#121C2211yescharacteristic
35#2853C2214yescomplemented
36#2848C2212yescomplemented
37#2837C2214yescomplemented
38#2837C2214yescomplemented
39#2832C2214yescomplemented
40#2829C2214yescomplemented
41#2817C2212yescomplemented
42#2803C2214yescomplemented
43#2798C2214yescomplemented
44#2796C2214yescomplemented
45#2796C2214yescomplemented
46#2795C2214yescomplemented
47#2786C2214yescomplemented
48#2753C2214yescomplemented
49#2752C2214yescomplemented
50#2751C2214yescomplemented
51#2750C2214yescomplemented
52#2743C2214yescomplemented
53#2740C2214yescomplemented
54#2736C2214yescomplemented
55#2735C2214yescomplemented
56#2735C2214yescomplemented
57#2735C2214yescomplemented
58#2732C2214yescomplemented
59#2729C2214yescomplemented
60#2729C2214yescomplemented
61#2728C2214yescomplemented
62#2724C2212yescomplemented
63#2723C2214yescomplemented
64#2720C2214yescomplemented
65#2720C2214yescomplemented
66#2718C2214yescomplemented
67#2717C2212yescomplemented
68#2716C2214yescomplemented
69#2715C2214yescomplemented
70#2715C2214yescomplemented
71#2715C2214yescomplemented
72#2713C2214yescomplemented
73#2711C2214yescomplemented
74#2710C2214yescomplemented
75#2710C2214yescomplemented
76#2708C2214yescomplemented
77#2705C2214yescomplemented
78#2700C2214yescomplemented
79#2697C2214yescomplemented
80#2697C2214yescomplemented
81#2697C2212yescomplemented
82#2696C2214yescomplemented
83#2695C2214yescomplemented
84#2694C2214yescomplemented
85#2692C2214yescomplemented
86#2687C2214yescomplemented
87#2685C2214yescomplemented
88#2685C2214yescomplemented
89#2685C2214yescomplemented
90#2684C2212yescomplemented
91#2681C2214yescomplemented
92#2681C2214yescomplemented
93#2680C2214yescomplemented
94#2677C2214yescomplemented
95#2674C2214yescomplemented
96#2674C2214yescomplemented
97#2674C2214yescomplemented
98#2672C2214yescomplemented
99#2672C2214yescomplemented
100#2672C2214yescomplemented
101#2672C2214yescomplemented
102#2663C2214yescomplemented
103#2659C2212yescomplemented
104#2652C2214yescomplemented
105#2649C2214yescomplemented
106#2646C2212yescomplemented
107#2626C2212yescomplemented
108#2626C2214yescomplemented
109#2626C2212yescomplemented
110#2626C2212yescomplemented
111#2622C2214yescomplemented
112#2609C2214yescomplemented
113#2608C2212yescomplemented
114#2601C2214yescomplemented
115#2601C2214yescomplemented
116#2597C2214yescomplemented
117#2595C2214yescomplemented
118#2595C2214yescomplemented
119#2595C2214yescomplemented
120#2589C2214yescomplemented
121#2588C2214yescomplemented
122#2587C2214yescomplemented
123#2583C2212yescomplemented
124#2561C2212yescomplemented
125#2561C2212yescomplemented
126#2560C2214yescomplemented
127#2559C2214yescomplemented
128#2558C2214yescomplemented
129#2558C2214yescomplemented
130#2554C2214yescomplemented
131#2553C2214yescomplemented
132#2551C2214yescomplemented
133#2550C2214yescomplemented
134#2521C2214yescomplemented
135#2521C2214yescomplemented
136#2521C2214yescomplemented
137#2505C2214yescomplemented
138#2492C2214yescomplemented
139#2491C2214yescomplemented
140#2491C2214yescomplemented
141#2491C2214yescomplemented
142#2490C2214yescomplemented
143#2490C2214yescomplemented
144#2482C2214yescomplemented
145#2480C2214yescomplemented
146#2480C2214yescomplemented
147#2480C2214yescomplemented
148#2479C2214yescomplemented
149#2477C2214yescomplemented
150#2477C2214yescomplemented
151#2476C2214yescomplemented
152#2475C2214yescomplemented
153#2475C2214yescomplemented
154#2474C2214yescomplemented
155#2474C2214yescomplemented
156#2474C2214yescomplemented
157#2472C2214yescomplemented
158#2471C2214yescomplemented
159#2470C2214yescomplemented
160#2470C2214yescomplemented
161#2461C2214yescomplemented
162#2461C2214yescomplemented
163#2435C2212yes—
164#2435C2214yes—
165#2435C2214yes—
166#2435C2212yes—
167#2435C2212yescomplemented
168#2435C2212yescomplemented
169#2435C2212yescomplemented
170#2434C2214yescomplemented
171#2432C2212yes—
172#2432C2212yes—
173#2432C2214yescomplemented
174#2432C2212yescomplemented
175#2432C2214yescomplemented
176#2432C2212yescomplemented
177#2430C2214yes—
178#2430C2214yes—
179#2422C2214yescomplemented
180#2418C2214yescomplemented
181#2411C2214yescomplemented
182#2410C2214yes—
183#2410C2214yes—
184#2409C2214yescomplemented
185#2406C2212yes—
186#2405C2212yes—
187#2405C2214yes—
188#2405C2214yes—
189#2405C2214yescomplemented
190#2405C2214yescomplemented
191#2405C2212yescomplemented
192#2405C2212yescomplemented
193#2404C2212yes—
194#2403C2212yes—
195#2375C2212yescomplemented
196#2374C2212yescomplemented
197#2368C2214yescomplemented
198#2342C2214yescomplemented
199#2335C2214yescomplemented
200#2334C2214yescomplemented
201#2332C2212yescomplemented
202#2332C2212yescomplemented
203#2329C2212yescomplemented
204#2329C2212yescomplemented
205#2321C2214yescomplemented
206#2315C2212yescomplemented
207#2312C2212yescomplemented
208#2312C2211yescharacteristic, complemented
209#2309C2212yescomplemented
210#2309C2212yescomplemented
211#2308C2211yescharacteristic
212#2297C2212yes—
213#2297C2212yescomplemented
214#2296C2214yescomplemented
215C2×#386C2211yescharacteristic
216C2×#386C2211yescharacteristic
217#2280C2212yescomplemented
218#2274C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—44no—
220C2×H(5,𝔽2)—44no—
221C2×H(5,𝔽2)—44no—
222C22×#41C2312yes—
223C22×#41C2312yes—
224C22×#41C2312yes—
225C23×Q8C2312yes—
226C23×D4C2311yescharacteristic
227C23×D4C2312yes—
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2312yes—
232C23×D4C2312yes—
233C23×D4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235#563—48no—
236#551—48no—
237#544—44no—
238#543—44no—
239#536—48no—
240#536—48no—
241#534—44no—
242#534—44no—
243C2×C4⋊Q8C2314yes—
244C2×C4⋊Q8C2314yes—
245C2×C4⋊Q8C2312yes—
246C2×C4⋊Q8C2314yes—
247C2×C4⋊Q8C2312yes—
248C2×#126C2314yes—
249C2×#126C2314yes—
250C2×#126C2314yes—
251C2×#126C2314yes—
252C2×#125C2314yes—
253C2×#125C2314yes—
254C2×#124—48no—
255C2×#124C2312yes—
256C2×#124C2314yes—
257C2×#124C2312yes—
258C2×#124C2314yes—
259C2×#124C2312yes—
260C2×#124C2312yes—
261C2×#124C2312yes—
262C2×#124C2312yes—
263C2×#124C2314yes—
264C2×#124C2312yes—
265C2×#124C2312yes—
266C2×#123C2312yes—
267C2×#123C2314yes—
268C2×#123C2314yes—
269C2×#123C2314yes—
270C2×#123C2314yes—
271C2×#123C2314yes—
272C2×#123C2312yes—
273C2×#123C2312yes—
274C2×#123C2314yes—
275C2×#123C2312yes—
276C2×#123C2312yes—
277C2×#123C2312yes—
278C2×C22⋊Q8C2312yes—
279C2×C22⋊Q8C2312yes—
280C2×C22⋊Q8C2314yes—
281C2×C22⋊Q8C2312yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2312yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×#121—44no—
293C2×#121C2314yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#121C2314yes—
297C2×#120C2312yes—
298C2×#120C2314yes—
299C2×#120C2312yes—
300C2×#120C2312yes—
301C2×#120C2312yes—
302C2×C4×D4C2314yes—
303C2×#117C2312yes—
304C2×#117C2312yes—
305C2×#117C2312yes—
306C2×#117C2312yes—
307C2×#117C2314yes—
308C2×#117C2314yes—
309C22×C4⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2314yes—
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2312yes—
316C22×C22⋊C4C2312yes—
317C22×C22⋊C4C2314yes—
318C22×C22⋊C4C2312yes—
319C22×C42C2312yes—
320#400C2314yes—
321#400C2314yes—
322#400C2314yes—
323#400C2314yes—
324#400C2314yes—
325#400C2314yes—
326#400C2314yes—
327#400C2314yes—
328#400C2314yes—
329#399C2314yes—
330#399C2314yes—
331#399C2314yes—
332#399C2314yes—
333#399C2314yes—
334#399C2314yes—
335#399C2314yes—
336#399C2314yes—
337#398C2314yes—
338#398C2314yes—
339#398C2314yes—
340#398C2314yes—
341#398C2314yes—
342#398C2314yes—
343#398C2314yes—
344#398C2314yes—
345#397C2314yes—
346#397C2314yes—
347#397C2314yes—
348#397C2314yes—
349#397C2314yes—
350#397C2314yes—
351#397C2314yes—
352#397C2314yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#396C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#396C2314yes—
375#396C2314yes—
376#396C2314yes—
377#396C2314yes—
378#395C2314yes—
379#395C2314yes—
380#395C2314yes—
381#395C2314yes—
382#395C2314yes—
383#395C2314yes—
384#395C2314yes—
385#395C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2314yes—
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#393C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#393C2314yes—
424#393C2314yes—
425#392C2314yes—
426#392C2314yes—
427#392C2314yes—
428#391C2314yes—
429#391C2314yes—
430#391C2314yes—
431#391C2314yes—
432#391C2312yes—
433#391C2314yes—
434#391C2314yes—
435#391C2314yes—
436#391C2312yes—
437#390C2314yes—
438#390C2314yes—
439#390C2314yes—
440#390C2312yes—
441#390C2314yes—
442#390C2312yes—
443#390C2314yes—
444#390C2312yes—
445#390C2314yes—
446#390C2312yes—
447#390C2314yes—
448#390C2312yes—
449#390C2314yes—
450#390C2312yes—
451#390C2314yes—
452#390C2312yes—
453#390C2314yes—
454#390C2312yes—
455#389C2314yes—
456#389C2314yes—
457#389C2314yes—
458#389C2314yes—
459#389C2314yes—
460#389C2314yes—
461#389C2314yes—
462#389C2314yes—
463#389C2314yes—
464#389C2314yes—
465#389C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2312yes—
536#386C2314yes—
537#386C2312yes—
538#386C2314yes—
539#386C2314yes—
540#386C2312yes—
541#386C2312yes—
542#386C2314yes—
543#386C2312yes—
544#386C2312yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#385C2314yes—
550#385C2314yes—
551#385C2314yes—
552#385C2314yes—
553#385C2314yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#384C2314yes—
576#382C2314yes—
577#381C2314yes—
578#381C2312yes—
579#381C2314yes—
580#380C2312yes—
581#380C2312yes—
582#380C2312yes—
583#380C2312yes—
584#380C2312yes—
585#380C2314yes—
586#380C2314yes—
587#380C2314yes—
588#380C2312yes—
589#380C2312yes—
590#380C2314yes—
591#379C2314yes—
592#379C2314yes—
593#379C2312yes—
594#379C2314yes—
595#379C2314yes—
596#379C2312yes—
597#379C2314yes—
598#379C2314yes—
599#379C2314yes—
600#379C2314yes—
601#379C2314yes—
602#379C2314yes—
603#379C2314yes—
604#379C2314yes—
605C4×C4⋊C4C2314yes—
606C4×C4⋊C4C2314yes—
607C4×C4⋊C4C2314yes—
608C4×C4⋊C4C2314yes—
609C4×C4⋊C4C2314yes—
610C4×C4⋊C4C2314yes—
611C4×C4⋊C4C2314yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2312yes—
614C4×C22⋊C4C2312yes—
615C4×C22⋊C4C2312yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2314yes—
618C4×C22⋊C4C2314yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2312yes—
621C4×C22⋊C4C2314yes—
622C4×C22⋊C4C2312yes—
623C4×C22⋊C4C2314yes—
624C4×C22⋊C4C2314yes—
625C2×#95C2312yes—
626C2×#95C2312yes—
627C25C2411yescharacteristic
628C25C2411yescharacteristic
629C25C2412yes—
630C25C2411yescharacteristic
631C25C2411yescharacteristic
632C25C2411yescharacteristic
633H(5,𝔽2)—464no—
634C2×#41—28no—
635C2×#41—28no—
636C2×#41—44no—
637C2×#41—44no—
638C2×#41—44no—
639C2×#41—44no—
640C2×#41—44no—
641C2×#41—44no—
642C2×#41—44no—
643C22×Q8—44no—
644C22×Q8—44no—
645C22×Q8—44no—
646C22×Q8C2412yes—
647C22×Q8C2412yes—
648C22×Q8C2414yes—
649C22×Q8C2412yes—
650C22×Q8C2412yes—
651C22×Q8C2412yes—
652C22×D4—28no—
653C22×D4—24no—
654C22×D4—24no—
655C22×D4—24no—
656C22×D4—44no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—44no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—44no—
664C22×D4—44no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—44no—
668C22×D4—44no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—42no—
675C22×D4C2412yes—
676C22×D4C2412yes—
677C22×D4C2412yes—
678C22×D4C2412yes—
679C22×D4C2412yes—
680C22×D4C2412yes—
681C22×D4C2412yes—
682C22×D4C2412yes—
683C22×D4C2414yes—
684C22×D4C2412yes—
685C22×D4C2412yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2412yes—
689C23×C4—44no—
690C23×C4—42no—
691C23×C4C2411yescharacteristic
692C23×C4C2412yes—
693C23×C4C2414yes—
694C23×C4C2414yes—
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2412yes—
698C23×C4C2412yes—
699C23×C4C2412yes—
700C23×C4C2412yes—
701C23×C4C2411yescharacteristic
702C23×C4C2412yes—
703C23×C4C2412yes—
704C23×C4C2412yes—
705C23×C4C2412yes—
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C4⋊Q8—48no—
709C4⋊Q8—44no—
710C4⋊Q8—44no—
711C4⋊Q8—48no—
712C4⋊Q8—48no—
713#126—48no—
714#126—48no—
715#126—48no—
716#126—48no—
717#125—48no—
718#125—48no—
719#124—44no—
720#124—48no—
721#124—44no—
722#124—44no—
723#124—48no—
724#124—44no—
725#124—48no—
726#124—44no—
727#124—44no—
728#124—44no—
729#124—44no—
730#123—28no—
731#123—44no—
732#123—48no—
733#123—48no—
734#123—44no—
735#123—44no—
736#123—44no—
737#123—48no—
738#123—48no—
739#123—44no—
740#123—48no—
741#123—48no—
742C22⋊Q8—28no—
743C22⋊Q8—28no—
744C22⋊Q8—216no—
745C22⋊Q8—44no—
746C22⋊Q8—44no—
747C22⋊Q8—48no—
748C22⋊Q8—48no—
749C22⋊Q8—48no—
750C22⋊Q8—48no—
751C22⋊Q8—44no—
752C22⋊Q8—44no—
753C22⋊Q8—44no—
754C22⋊Q8—44no—
755C22⋊Q8—48no—
756#121—48no—
757#121—48no—
758#121—48no—
759#121—48no—
760#120—28no—
761#120—48no—
762#120—44no—
763#120—44no—
764#120—44no—
765C4×D4—48no—
766#117—44no—
767#117—48no—
768#117—44no—
769#117—48no—
770#117—44no—
771#117—44no—
772C2×C4⋊C4—24no—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2412yes—
775C2×C4⋊C4C2412yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2412yes—
787C2×C4⋊C4C2412yes—
788C2×C4⋊C4C2412yes—
789C2×C4⋊C4C2412yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2412yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C22⋊C4—216no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—44no—
816C2×C22⋊C4—44no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—44no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—48no—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2412yes—
825C2×C22⋊C4C2412yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2412yes—
838C2×C22⋊C4C2412yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2412yes—
863C2×C22⋊C4C2412yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C42—44no—
881C2×C42C2414yes—
882C2×C42C2412yes—
883C2×C42C2414yes—
884C2×C42C2414yes—
885C2×C42C2412yes—
886C2×C42C2412yes—
887C2×C42C2414yes—
888C2×C42C2414yes—
889C2×C42C2412yes—
890C2×C42C2414yes—
891C2×C42C2412yes—
892C2×C42C2412yes—
893C2×C42C2414yes—
894C2×C42C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935C24—22no—
936C24—22no—
937C24—22no—
938C24—22no—
939C24—24no—
940C24—22no—
941C24—22no—
942C24—42no—
943C24—41no—
944C24—41no—
945C24—42no—
946C24—42no—
947C24—41no—
948C24—41no—
949C24—41no—
950C24—41no—
951C24—42no—
952C24—42no—
953C24—42no—
954C24—42no—
955C24—42no—
956C24—41no—
957C24—41no—
958C24—44no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—44no—
964C24H(5,𝔽2)14yes—
965C24C2512yes—
966C24C2512yes—
967C24C2512yes—
968C24C2511yescharacteristic
969C24C2512yes—
970C24C2511yescharacteristic
971C24C2511yescharacteristic
972#41—432no—
973#41—432no—
974#41—432no—
975C2×Q8—24no—
976C2×Q8—24no—
977C2×Q8—24no—
978C2×Q8—28no—
979C2×Q8—24no—
980C2×Q8—42no—
981C2×Q8—42no—
982C2×Q8—44no—
983C2×Q8—42no—
984C2×Q8—42no—
985C2×Q8—44no—
986C2×Q8—42no—
987C2×Q8—42no—
988C2×Q8—42no—
989C2×Q8—42no—
990C2×Q8—42no—
991C2×Q8—42no—
992C2×Q8—42no—
993C2×Q8—816no—
994C2×D4—24no—
995C2×D4—24no—
996C2×D4—24no—
997C2×D4—24no—
998C2×D4—24no—
999C2×D4—24no—
1000C2×D4—24no—
1001C2×D4—24no—
1002C2×D4—24no—
1003C2×D4—24no—
1004C2×D4—28no—
1005C2×D4—24no—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—24no—
1009C2×D4—24no—
1010C2×D4—24no—
1011C2×D4—24no—
1012C2×D4—24no—
1013C2×D4—28no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—432no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—416no—
1038C2×D4—416no—
1039C2×D4—416no—
1040C2×D4—432no—
1041C2×D4—432no—
1042C2×D4—88no—
1043C2×D4—88no—
1044C22×C4—24no—
1045C22×C4—22no—
1046C22×C4—24no—
1047C22×C4—24no—
1048C22×C4—24no—
1049C22×C4—28no—
1050C22×C4—22no—
1051C22×C4—28no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—24no—
1055C22×C4—24no—
1056C22×C4—24no—
1057C22×C4—24no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—42no—
1063C22×C4—42no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—42no—
1067C22×C4—42no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—42no—
1083C22×C4—42no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—44no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—88no—
1091C22×C4H(5,𝔽2)14yes—
1092C22×C4H(5,𝔽2)14yes—
1093C22×C4C2512yes—
1094C22×C4C2514yes—
1095C22×C4C2514yes—
1096C22×C4C2512yes—
1097C22×C4C2514yes—
1098C22×C4C2514yes—
1099C22×C4C2514yes—
1100C22×C4C2514yes—
1101C22×C4C2514yes—
1102C22×C4C2514yes—
1103C22×C4C2514yes—
1104C22×C4C2512yes—
1105C22×C4C2514yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C4⋊C4—28no—
1110C4⋊C4—24no—
1111C4⋊C4—24no—
1112C4⋊C4—28no—
1113C4⋊C4—28no—
1114C4⋊C4—28no—
1115C4⋊C4—28no—
1116C4⋊C4—28no—
1117C4⋊C4—28no—
1118C4⋊C4—28no—
1119C4⋊C4—28no—
1120C4⋊C4—44no—
1121C4⋊C4—44no—
1122C4⋊C4—44no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—44no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—42no—
1133C4⋊C4—42no—
1134C4⋊C4—44no—
1135C4⋊C4—42no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—42no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—24no—
1154C22⋊C4—24no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—42no—
1167C22⋊C4—42no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C42—28no—
1208C42—42no—
1209C42—44no—
1210C42—42no—
1211C42—44no—
1212C42—44no—
1213C42—42no—
1214C42—44no—
1215C42—42no—
1216C42—42no—
1217C42—44no—
1218C42—44no—
1219C42—42no—
1220C42—44no—
1221C23—28no—
1222C23—22no—
1223C23—22no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—24no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—24no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—24no—
1248C23—24no—
1249C23—24no—
1250C23—24no—
1251C23—24no—
1252C23—24no—
1253C23—44no—
1254C23—48no—
1255C23—48no—
1256C23—44no—
1257C23—44no—
1258C23—44no—
1259C23—82no—
1260C23—82no—
1261C23—84no—
1262C23—84no—
1263C23—82no—
1264C23—82no—
1265C23—82no—
1266C23—82no—
1267C23—88no—
1268C23—84no—
1269C23—161no—
1270C23—161no—
1271C23—162no—
1272C23—161no—
1273C23—161no—
1274C23—162no—
1275C23—162no—
1276C23—162no—
1277C23—162no—
1278C23—162no—
1279C23—162no—
1280C23—162no—
1281C23—164no—
1282C23C2×H(5,𝔽2)12yes—
1283C23C2×H(5,𝔽2)12yes—
1284C23C2×H(5,𝔽2)12yes—
1285C23C2×H(5,𝔽2)14yes—
1286C23C2611yescharacteristic
1287Q8—48no—
1288Q8—84no—
1289Q8—88no—
1290Q8—84no—
1291Q8—162no—
1292Q8—162no—
1293D4—48no—
1294D4—48no—
1295D4—48no—
1296D4—48no—
1297D4—48no—
1298D4—48no—
1299D4—48no—
1300D4—48no—
1301D4—48no—
1302D4—88no—
1303D4—88no—
1304D4—84no—
1305D4—84no—
1306D4—164no—
1307C2×C4—28no—
1308C2×C4—216no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—24no—
1316C2×C4—24no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—22no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—22no—
1328C2×C4—24no—
1329C2×C4—22no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—24no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—24no—
1353C2×C4—24no—
1354C2×C4—44no—
1355C2×C4—44no—
1356C2×C4—48no—
1357C2×C4—48no—
1358C2×C4—416no—
1359C2×C4—44no—
1360C2×C4—84no—
1361C2×C4—84no—
1362C2×C4—82no—
1363C2×C4—82no—
1364C2×C4—88no—
1365C2×C4—162no—
1366C2×C4—162no—
1367C2×C4—162no—
1368C2×C4—162no—
1369C2×C4C2×H(5,𝔽2)14yes—
1370C2×C4C2×H(5,𝔽2)14yes—
1371C2×C4#58514yes—
1372C22—24no—
1373C22—22no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—28no—
1379C22—24no—
1380C22—24no—
1381C22—41no—
1382C22—41no—
1383C22—42no—
1384C22—41no—
1385C22—41no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—44no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—42no—
1396C22—42no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—44no—
1402C22—44no—
1403C22—44no—
1404C22—44no—
1405C22—44no—
1406C22—44no—
1407C22—88no—
1408C22—164no—
1409C22—164no—
1410C22—164no—
1411C22—164no—
1412C22—168no—
1413C22C22×H(5,𝔽2)11yescharacteristic
1414C22C22×H(5,𝔽2)11yescharacteristic
1415C22C22×H(5,𝔽2)11yescharacteristic
1416C22C2×#58512yes—
1417C222−1+612yes—
1418C4—24no—
1419C4—24no—
1420C4—24no—
1421C4—42no—
1422C4—44no—
1423C4—42no—
1424C4—44no—
1425C4—42no—
1426C4—44no—
1427C4—44no—
1428C4—44no—
1429C4—44no—
1430C4—44no—
1431C4—44no—
1432C4—44no—
1433C4—44no—
1434C2—42no—
1435C2—42no—
1436C2—42no—
1437C2—44no—
1438C2—82no—
1439C2—82no—
1440C2—82no—
1441C2#6281711yescharacteristic
1442C2#6282411yescharacteristic
1443C2#6288711yescharacteristic
1444C2#6290112yes—
1445C2#6293112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35347C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #56767C2semidirect
2. #55812C2semidirect
3. #53917C2semidirect
4. #51538C2semidirect
5. #50867C2semidirect
6. #49607C2semidirect
7. #48773C2semidirect
8. #47394C2semidirect
9. #47169C2semidirect
10. #47061C2semidirect
11. #46457C2semidirect
12. #46426C2semidirect
13. #46357C2semidirect
14. #38661C2semidirect
15. #38044C2semidirect
16. #37957C2semidirect
17. #37932C2semidirect
18. #36822C2semidirect
19. #36718C2semidirect
20. #35616C2semidirect
21. #35584C2semidirect
22. #35440C2semidirect
25. C2×#563C22semidirect
26. C2×#551C22semidirect
27. C2×#544C22semidirect
28. C2×#543C22semidirect
30. C2×#536C22semidirect
33. C22×#124C22semidirect
35. #2853C22semidirect
36. #2848C22semidirect
37. #2837C22semidirect
38. #2837C22semidirect
39. #2832C22semidirect
40. #2829C22semidirect
41. #2817C22semidirect
42. #2803C22semidirect
43. #2798C22semidirect
44. #2796C22semidirect
45. #2796C22semidirect
46. #2795C22semidirect
47. #2786C22semidirect
48. #2753C22semidirect
49. #2752C22semidirect
50. #2751C22semidirect
51. #2750C22semidirect
52. #2743C22semidirect
53. #2740C22semidirect
54. #2736C22semidirect
55. #2735C22semidirect
56. #2735C22semidirect
57. #2735C22semidirect
58. #2732C22semidirect
59. #2729C22semidirect
60. #2729C22semidirect
61. #2728C22semidirect
62. #2724C22semidirect
63. #2723C22semidirect
64. #2720C22semidirect
65. #2720C22semidirect
66. #2718C22semidirect
67. #2717C22semidirect
68. #2716C22semidirect
69. #2715C22semidirect
70. #2715C22semidirect
71. #2715C22semidirect
72. #2713C22semidirect
73. #2711C22semidirect
74. #2710C22semidirect
75. #2710C22semidirect
76. #2708C22semidirect
77. #2705C22semidirect
78. #2700C22semidirect
79. #2697C22semidirect
80. #2697C22semidirect
81. #2697C22semidirect
82. #2696C22semidirect
83. #2695C22semidirect
84. #2694C22semidirect
85. #2692C22semidirect
86. #2687C22semidirect
87. #2685C22semidirect
88. #2685C22semidirect
89. #2685C22semidirect
90. #2684C22semidirect
91. #2681C22semidirect
92. #2681C22semidirect
93. #2680C22semidirect
94. #2677C22semidirect
95. #2674C22semidirect
96. #2674C22semidirect
97. #2674C22semidirect
98. #2672C22semidirect
99. #2672C22semidirect
100. #2672C22semidirect
101. #2672C22semidirect
102. #2663C22semidirect
103. #2659C22semidirect
104. #2652C22semidirect
105. #2649C22semidirect
106. #2646C22semidirect
107. #2626C22semidirect
108. #2626C22semidirect
109. #2626C22semidirect
110. #2626C22semidirect
111. #2622C22semidirect
112. #2609C22semidirect
113. #2608C22semidirect
114. #2601C22semidirect
115. #2601C22semidirect
116. #2597C22semidirect
117. #2595C22semidirect
118. #2595C22semidirect
119. #2595C22semidirect
120. #2589C22semidirect
121. #2588C22semidirect
122. #2587C22semidirect
123. #2583C22semidirect
124. #2561C22semidirect
125. #2561C22semidirect
126. #2560C22semidirect
127. #2559C22semidirect
128. #2558C22semidirect
129. #2558C22semidirect
130. #2554C22semidirect
131. #2553C22semidirect
132. #2551C22semidirect
133. #2550C22semidirect
134. #2521C22semidirect
135. #2521C22semidirect
136. #2521C22semidirect
137. #2505C22semidirect
138. #2492C22semidirect
139. #2491C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
144. #2482C22semidirect
145. #2480C22semidirect
146. #2480C22semidirect
147. #2480C22semidirect
148. #2479C22semidirect
149. #2477C22semidirect
150. #2477C22semidirect
151. #2476C22semidirect
152. #2475C22semidirect
153. #2475C22semidirect
154. #2474C22semidirect
155. #2474C22semidirect
156. #2474C22semidirect
157. #2472C22semidirect
158. #2471C22semidirect
159. #2470C22semidirect
160. #2470C22semidirect
161. #2461C22semidirect
162. #2461C22semidirect
167. #2435C22semidirect
168. #2435C22semidirect
169. #2435C22semidirect
170. #2434C22semidirect
173. #2432C22semidirect
174. #2432C22semidirect
175. #2432C22semidirect
176. #2432C22semidirect
179. #2422C22semidirect
180. #2418C22semidirect
181. #2411C22semidirect
184. #2409C22semidirect
189. #2405C22semidirect
190. #2405C22semidirect
191. #2405C22semidirect
192. #2405C22semidirect
195. #2375C22semidirect
196. #2374C22semidirect
197. #2368C22semidirect
198. #2342C22semidirect
199. #2335C22semidirect
200. #2334C22semidirect
201. #2332C22semidirect
202. #2332C22semidirect
203. #2329C22semidirect
204. #2329C22semidirect
205. #2321C22semidirect
206. #2315C22semidirect
207. #2312C22semidirect
208. #2312C22semidirect
209. #2309C22semidirect
210. #2309C22semidirect
213. #2297C22semidirect
214. #2296C22semidirect
217. #2280C22semidirect
218. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#567672
#558122
#539172
#515382
#508672
#496072
#487732
#473942
#471692
#470612
#464572
#464262
#463572
#386612
#380442
#379572
#379322
#368222
#367182
#356162
#355842
#354402
#353472