Finite Group Databasebeta

← #7645662

Subgroups — #7645662

Order 512.

5582 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42319C214yesmaximal, complemented
2#42191C214yesmaximal, complemented
3#42012C214yesmaximal, complemented
4#41963C214yesmaximal, complemented
5#38468C214yesmaximal, complemented
6#38467C214yesmaximal, complemented
7#38399C214yesmaximal, complemented
8#38397C214yesmaximal, complemented
9#37497C214yesmaximal, complemented
10#36997C214yesmaximal, complemented
11#36823C214yesmaximal, complemented
12#35455C211yesmaximal, characteristic, complemented
13#35447C211yesmaximal, characteristic, complemented
14#35370C211yesmaximal, characteristic, complemented
15#35360C211yesmaximal, characteristic, complemented
16#35097C211yesmaximal, characteristic, complemented
17#35090C211yesmaximal, characteristic, complemented
18#35089C211yesmaximal, characteristic, complemented
19#35088C211yesmaximal, characteristic
20#35058C214yesmaximal, complemented
21#34995C211yesmaximal, characteristic, complemented
22#34993C211yesmaximal, characteristic, complemented
23C2×#2413C211yesmaximal, characteristic, complemented
24C2×#2406C211yesmaximal, characteristic, complemented
25#34199C211yesmaximal, characteristic, complemented
26C2×#2344C211yesmaximal, characteristic, complemented
27#34044C211yesmaximal, characteristic, complemented
28C23×#41C2211yescharacteristic
29C2×#543C2211yescharacteristic
30C2×#534C2211yescharacteristic
31C2×#534C2211yescharacteristic
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C2×#518C2211yescharacteristic
37C22×#117C2211yescharacteristic
38C22×#117C2211yescharacteristic
39C22×#117C2211yescharacteristic
40C23×C4⋊C4C2211yescharacteristic
41#2855C2214yescomplemented
42#2854C2214yescomplemented
43#2853C2214yescomplemented
44#2852C2214yescomplemented
45#2850C2214yescomplemented
46#2849C2212yes—
47#2849C2212yes—
48#2833C2214yescomplemented
49#2831C2214yescomplemented
50#2830C2214yescomplemented
51#2829C2214yescomplemented
52#2808C2214yescomplemented
53#2806C2214yescomplemented
54#2805C2214yescomplemented
55#2803C2214yescomplemented
56#2803C2214yescomplemented
57#2800C2214yescomplemented
58#2800C2214yescomplemented
59#2797C2214yescomplemented
60#2788C2214yescomplemented
61#2788C2214yescomplemented
62#2788C2214yescomplemented
63#2787C2214yescomplemented
64#2787C2214yescomplemented
65#2786C2214yescomplemented
66#2784C2214yescomplemented
67#2781C2214yescomplemented
68#2780C2214yescomplemented
69#2779C2214yescomplemented
70#2775C2214yescomplemented
71#2774C2214yescomplemented
72#2774C2214yescomplemented
73#2770C2214yescomplemented
74#2770C2214yescomplemented
75#2768C2214yescomplemented
76#2768C2214yescomplemented
77#2759C2214yescomplemented
78#2750C2214yescomplemented
79#2745C2214yescomplemented
80#2727C2214yescomplemented
81#2715C2214yescomplemented
82#2710C2214yescomplemented
83#2695C2214yescomplemented
84#2666C2214yescomplemented
85#2666C2214yescomplemented
86#2665C2214yescomplemented
87#2662C2214yescomplemented
88#2653C2214yescomplemented
89#2652C2214yescomplemented
90#2652C2214yescomplemented
91#2651C2214yescomplemented
92#2651C2214yescomplemented
93#2650C2214yescomplemented
94#2649C2214yescomplemented
95#2648C2214yescomplemented
96#2643C2214yescomplemented
97#2639C2214yescomplemented
98#2627C2214yescomplemented
99#2623C2214yescomplemented
100#2618C2214yescomplemented
101#2614C2212yes—
102#2613C2212yes—
103#2597C2214yescomplemented
104#2595C2214yescomplemented
105#2593C2214yescomplemented
106#2589C2214yescomplemented
107#2589C2214yescomplemented
108#2587C2214yescomplemented
109#2587C2214yescomplemented
110#2586C2214yescomplemented
111#2578C2214yescomplemented
112#2576C2214yescomplemented
113#2574C2214yescomplemented
114#2561C2214yescomplemented
115#2554C2214yescomplemented
116#2534C2214yes—
117#2510C2214yescomplemented
118#2510C2214yescomplemented
119#2510C2214yescomplemented
120#2503C2214yescomplemented
121#2498C2214yescomplemented
122#2498C2214yescomplemented
123#2498C2214yescomplemented
124#2493C2214yescomplemented
125#2493C2214yescomplemented
126#2488C2214yes—
127#2488C2214yescomplemented
128#2488C2214yescomplemented
129#2488C2214yescomplemented
130#2488C2214yescomplemented
131#2488C2214yescomplemented
132#2486C2214yes—
133#2484C2214yescomplemented
134#2482C2214yescomplemented
135#2481C2214yescomplemented
136#2481C2214yescomplemented
137#2481C2214yescomplemented
138#2480C2214yescomplemented
139#2480C2214yescomplemented
140#2472C2214yes—
141#2472C2214yescomplemented
142#2444C2214yescomplemented
143#2443C2214yescomplemented
144#2438C2214yescomplemented
145#2438C2214yescomplemented
146#2438C2214yescomplemented
147#2438C2214yescomplemented
148#2430C2214yes—
149#2430C2214yes—
150#2425C2214yescomplemented
151#2425C2214yescomplemented
152#2419C2214yes—
153#2418C2214yes—
154#2413C2214yes—
155#2413C2214yes—
156#2413C2214yes—
157#2413C2214yescomplemented
158#2413C2214yescomplemented
159#2413C2212yescomplemented
160#2413C2212yescomplemented
161#2413C2212yescomplemented
162#2413C2212yescomplemented
163#2412C2214yescomplemented
164#2412C2214yescomplemented
165#2411C2214yes—
166#2411C2214yescomplemented
167#2406C2212yes—
168#2406C2212yes—
169#2406C2214yes—
170#2406C2214yes—
171#2406C2212yescomplemented
172#2406C2212yescomplemented
173#2406C2212yescomplemented
174#2406C2212yescomplemented
175#2404C2212yes—
176#2404C2212yes—
177C2×#398C2212yescomplemented
178C2×#396C2212yescomplemented
179C2×#395C2212yescomplemented
180C2×#394C2212yescomplemented
181#2359C2214yes—
182#2359C2214yes—
183#2344C2214yescomplemented
184#2344C2214yescomplemented
185#2344C2214yescomplemented
186#2344C2214yescomplemented
187#2344C2212yescomplemented
188#2344C2212yescomplemented
189#2342C2212yescomplemented
190#2342C2212yescomplemented
191#2337C2214yescomplemented
192#2335C2214yescomplemented
193#2334C2214yescomplemented
194#2334C2214yescomplemented
195#2322C2214yescomplemented
196#2315C2211yescharacteristic
197#2315C2211yescharacteristic
198#2315C2211yescharacteristic
199#2315C2211yescharacteristic
200#2311C2214yes—
201#2311C2214yescomplemented
202#2310C2212yescomplemented
203#2309C2212yescomplemented
204#2308C2211yescharacteristic
205#2308C2211yescharacteristic
206#2308C2211yescharacteristic
207#2308C2211yescharacteristic
208#2308C2211yescharacteristic
209#2308C2211yescharacteristic
210#2308C2211yescharacteristic
211C4×#123C2214yescomplemented
212#2297C2214yes—
213#2297C2214yescomplemented
214C2×#389C2212yescomplemented
215C2×#389C2212yescomplemented
216C2×#388C2212yescomplemented
217C2×#387C2212yescomplemented
218C2×#387C2212yescomplemented
219C2×#386C2211yescharacteristic
220C2×#386C2211yescharacteristic
221C2×#386C2211yescharacteristic
222C2×#385C2211yescharacteristic
223C2×#385C2212yescomplemented
224C2×#385C2212yescomplemented
225#2280C2212yescomplemented
226#2280C2212yescomplemented
227C2×#381C2211yescharacteristic
228C2×#381C2211yescharacteristic
229C2×#381C2211yescharacteristic
230C2×#381C2211yescharacteristic
231C2×#380C2211yescharacteristic
232#2273C2211yescharacteristic
233C2×C4×C4⋊C4C2212yescomplemented
234C2×C4×C22⋊C4C2211yescharacteristic
235C22×#41—28no—
236C22×#41—44no—
237C22×#41—44no—
238C22×#41C2312yes—
239C22×#41C2312yes—
240C22×#41C2312yes—
241C22×#41C2312yes—
242C23×Q8C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252#543—44no—
253#534—44no—
254#534—44no—
255C2×#126C2314yes—
256C2×#126C2314yes—
257C2×#124C2314yes—
258C2×#123—28no—
259C2×#123—44no—
260C2×#123—44no—
261C2×#123—44no—
262C2×#123C2312yes—
263C2×#123C2312yes—
264C2×#123C2312yes—
265C2×#123C2312yes—
266C2×#123C2314yes—
267C2×#123C2312yes—
268C2×#123C2312yes—
269C2×#123C2312yes—
270C2×#123C2312yes—
271C2×#123C2312yes—
272C2×#123C2312yes—
273C2×#123C2312yes—
274C2×#123C2312yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×#123C2312yes—
278C2×#123C2312yes—
279C2×#123C2314yes—
280C2×C22⋊Q8C2314yes—
281C2×C22⋊Q8C2314yes—
282C2×C22⋊Q8C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#120C2312yes—
286C2×#120C2312yes—
287C2×#120C2312yes—
288C2×#120C2312yes—
289#518—44no—
290C2×C4×D4C2314yes—
291C2×C4×D4C2314yes—
292C2×#117—44no—
293C2×#117—44no—
294C2×#117—44no—
295C2×#117C2312yes—
296C2×#117C2312yes—
297C2×#117C2312yes—
298C2×#117C2312yes—
299C2×#117C2312yes—
300C2×#117C2312yes—
301C2×#117C2314yes—
302C2×#117C2314yes—
303C2×#117C2312yes—
304C2×#117C2312yes—
305C2×#117C2312yes—
306C22×C4⋊C4—28no—
307C22×C4⋊C4C2312yes—
308C22×C4⋊C4C2312yes—
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2312yes—
311C22×C4⋊C4C2312yes—
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2312yes—
318C22×C4⋊C4C2312yes—
319C22×C4⋊C4C2312yes—
320C22×C4⋊C4C2312yes—
321C22×C4⋊C4C2312yes—
322C22×C4⋊C4C2312yes—
323C22×C4⋊C4C2312yes—
324C22×C4⋊C4C2312yes—
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C22⋊C4C2312yes—
341C22×C22⋊C4C2312yes—
342C22×C22⋊C4C2312yes—
343C22×C42C2312yes—
344C22×C42C2312yes—
345C22×C42C2312yes—
346C22×C42C2312yes—
347#401C2314yes—
348#401C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#399C2314yes—
367#399C2314yes—
368#399C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#396C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#395C2314yes—
414#395C2314yes—
415#395C2314yes—
416#395C2314yes—
417#395C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#393C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#392C2314yes—
442#392C2314yes—
443#391C2314yes—
444#391C2314yes—
445#391C2314yes—
446#391C2314yes—
447#391C2314yes—
448#391C2314yes—
449#391C2314yes—
450#391C2314yes—
451#391C2314yes—
452#390C2314yes—
453#390C2314yes—
454#390C2314yes—
455#390C2314yes—
456#390C2314yes—
457#390C2314yes—
458#390C2314yes—
459#389C2314yes—
460#389C2314yes—
461#389C2314yes—
462#389C2314yes—
463#389C2314yes—
464#389C2314yes—
465#389C2314yes—
466#389C2314yes—
467#389C2314yes—
468#389C2314yes—
469#389C2314yes—
470#389C2314yes—
471#389C2314yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
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#388C2314yes—
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#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2314yes—
549#386C2312yes—
550#386C2312yes—
551#386C2312yes—
552#386C2312yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2312yes—
561#386C2312yes—
562#386C2312yes—
563#386C2312yes—
564#386C2312yes—
565#386C2312yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2312yes—
589#385C2312yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#383C2314yes—
596#383C2314yes—
597#382C2314yes—
598#382C2314yes—
599#382C2314yes—
600#381C2314yes—
601#381C2314yes—
602#381C2312yes—
603#381C2312yes—
604#381C2312yes—
605#381C2312yes—
606#381C2312yes—
607#381C2312yes—
608#381C2312yes—
609#381C2314yes—
610#381C2312yes—
611#381C2312yes—
612#381C2312yes—
613#381C2312yes—
614#381C2312yes—
615#381C2312yes—
616#381C2312yes—
617#381C2312yes—
618#381C2314yes—
619#381C2312yes—
620#381C2312yes—
621#380C2314yes—
622#380C2314yes—
623#380C2314yes—
624#380C2314yes—
625#380C2312yes—
626#380C2312yes—
627#380C2314yes—
628#380C2314yes—
629#380C2314yes—
630#380C2314yes—
631#380C2314yes—
632#380C2314yes—
633#380C2314yes—
634#379C2312yes—
635#379C2312yes—
636#379C2312yes—
637#379C2312yes—
638#379C2312yes—
639#379C2312yes—
640#379C2312yes—
641C4×C4⋊C4C2314yes—
642C4×C4⋊C4C2314yes—
643C4×C4⋊C4C2314yes—
644C4×C4⋊C4C2314yes—
645C4×C4⋊C4C2314yes—
646C4×C4⋊C4C2314yes—
647C4×C22⋊C4C2314yes—
648C4×C22⋊C4C2314yes—
649C4×C22⋊C4C2314yes—
650C4×C22⋊C4C2314yes—
651C4×C22⋊C4C2314yes—
652C4×C22⋊C4C2314yes—
653C4×C22⋊C4C2314yes—
654C4×C22⋊C4C2314yes—
655C4×C22⋊C4C2312yes—
656C4×C22⋊C4C2312yes—
657C4×C22⋊C4C2314yes—
658C4×C22⋊C4C2314yes—
659C2×#95C2312yes—
660C2×#95C2312yes—
661C2×#95C2312yes—
662C2×#95C2312yes—
663C2×#95C2312yes—
664C2×#95C2312yes—
665C2×#95C2312yes—
666C2×#95C2312yes—
667C2×#95C2312yes—
668C2×#95C2312yes—
669C2×#95C2312yes—
670C2×#95C2312yes—
671C2×#95C2312yes—
672C2×#95C2312yes—
673C25C2411yescharacteristic
674C25C2411yescharacteristic
675C25C2411yescharacteristic
676C25C2411yescharacteristic
677C2×#41—28no—
678C2×#41—28no—
679C2×#41—28no—
680C2×#41—28no—
681C2×#41—44no—
682C2×#41—44no—
683C2×#41—44no—
684C2×#41—44no—
685C2×#41—44no—
686C2×#41—44no—
687C2×#41—44no—
688C2×#41—44no—
689C2×#41—464no—
690C22×Q8—24no—
691C22×Q8—42no—
692C22×Q8—42no—
693C22×Q8C2412yes—
694C22×Q8C2412yes—
695C22×Q8C2414yes—
696C22×D4—24no—
697C22×D4—24no—
698C22×D4—24no—
699C22×D4—24no—
700C22×D4—24no—
701C22×D4—24no—
702C22×D4—24no—
703C22×D4—24no—
704C22×D4—24no—
705C22×D4—24no—
706C22×D4—42no—
707C22×D4—42no—
708C22×D4C2412yes—
709C22×D4C2412yes—
710C22×D4C2412yes—
711C22×D4C2412yes—
712C22×D4C2412yes—
713C22×D4C2412yes—
714C22×D4C2412yes—
715C22×D4C2412yes—
716C22×D4C2414yes—
717C22×D4C2414yes—
718C23×C4—24no—
719C23×C4—24no—
720C23×C4—24no—
721C23×C4—24no—
722C23×C4—24no—
723C23×C4—24no—
724C23×C4—24no—
725C23×C4—24no—
726C23×C4—44no—
727C23×C4—42no—
728C23×C4—42no—
729C23×C4—42no—
730C23×C4—42no—
731C23×C4#4118yes—
732C23×C4C2412yes—
733C23×C4C2412yes—
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764#126—48no—
765#126—48no—
766#124—48no—
767#123—28no—
768#123—28no—
769#123—28no—
770#123—28no—
771#123—48no—
772#123—48no—
773#123—48no—
774#123—44no—
775#123—44no—
776#123—44no—
777#123—44no—
778#123—48no—
779#123—44no—
780#123—44no—
781#123—44no—
782#123—44no—
783#123—44no—
784#123—44no—
785C22⋊Q8—48no—
786C22⋊Q8—48no—
787C22⋊Q8—48no—
788#121—48no—
789#121—48no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—44no—
794C4×D4—48no—
795C4×D4—48no—
796#117—44no—
797#117—44no—
798#117—44no—
799#117—44no—
800#117—48no—
801#117—48no—
802#117—44no—
803#117—44no—
804#117—44no—
805#117—44no—
806#117—44no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4—24no—
809C2×C4⋊C4—28no—
810C2×C4⋊C4—28no—
811C2×C4⋊C4—28no—
812C2×C4⋊C4—28no—
813C2×C4⋊C4—24no—
814C2×C4⋊C4—24no—
815C2×C4⋊C4—24no—
816C2×C4⋊C4—24no—
817C2×C4⋊C4—44no—
818C2×C4⋊C4—44no—
819C2×C4⋊C4—44no—
820C2×C4⋊C4—44no—
821C2×C4⋊C4—44no—
822C2×C4⋊C4—44no—
823C2×C4⋊C4—44no—
824C2×C4⋊C4—44no—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C22⋊C4—24no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—24no—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—24no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—44no—
880C2×C22⋊C4—44no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—44no—
884C2×C22⋊C4—44no—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C42—44no—
939C2×C42—44no—
940C2×C42—44no—
941C2×C42—44no—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952C2×C42C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24C2×#4114yes—
1023C24H(5,𝔽2)14yes—
1024C24H(5,𝔽2)14yes—
1025C24C2512yes—
1026C24C2512yes—
1027C24C2512yes—
1028C24C2511yescharacteristic
1029C24C2511yescharacteristic
1030C24C2511yescharacteristic
1031#41—432no—
1032#41—432no—
1033#41—432no—
1034#41—432no—
1035C2×Q8—24no—
1036C2×Q8—24no—
1037C2×Q8—42no—
1038C2×Q8—42no—
1039C2×Q8—42no—
1040C2×Q8—42no—
1041C2×Q8—44no—
1042C2×Q8—44no—
1043C2×Q8—44no—
1044C2×Q8—416no—
1045C2×D4—24no—
1046C2×D4—24no—
1047C2×D4—24no—
1048C2×D4—24no—
1049C2×D4—24no—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—24no—
1054C2×D4—24no—
1055C2×D4—24no—
1056C2×D4—24no—
1057C2×D4—24no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—24no—
1062C2×D4—24no—
1063C2×D4—24no—
1064C2×D4—24no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—416no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—416no—
1077C2×D4—416no—
1078C2×D4—416no—
1079C22×C4—232no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—24no—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—22no—
1097C22×C4—24no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—24no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—24no—
1105C22×C4—22no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—24no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—416no—
1167C22×C4—416no—
1168C22×C4—416no—
1169C22×C4—416no—
1170C22×C4C2×#4114yes—
1171C22×C4C2×#4114yes—
1172C22×C4C2×#4114yes—
1173C22×C4C2×#4114yes—
1174C22×C4C2×#4114yes—
1175C22×C4C2×#4114yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2514yes—
1181C22×C4C2514yes—
1182C22×C4C2512yes—
1183C22×C4C2514yes—
1184C22×C4C2514yes—
1185C22×C4C2514yes—
1186C22×C4C2514yes—
1187C22×C4C2514yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C4⋊C4—24no—
1198C4⋊C4—24no—
1199C4⋊C4—24no—
1200C4⋊C4—24no—
1201C4⋊C4—24no—
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C22⋊C4—24no—
1240C22⋊C4—24no—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—24no—
1244C22⋊C4—24no—
1245C22⋊C4—24no—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C42—28no—
1293C42—44no—
1294C42—44no—
1295C42—44no—
1296C42—44no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—24no—
1319C23—24no—
1320C23—24no—
1321C23—24no—
1322C23—24no—
1323C23—24no—
1324C23—44no—
1325C23—44no—
1326C23—48no—
1327C23—48no—
1328C23—48no—
1329C23—48no—
1330C23—44no—
1331C23—44no—
1332C23—44no—
1333C23—82no—
1334C23—82no—
1335C23—82no—
1336C23—82no—
1337C23—84no—
1338C23—84no—
1339C23—82no—
1340C23—82no—
1341C23—84no—
1342C23—84no—
1343C23#538116yes—
1344C23C22×#4112yes—
1345C23C22×#4112yes—
1346C23C22×#4112yes—
1347C23C2×H(5,𝔽2)12yes—
1348C23C2×H(5,𝔽2)12yes—
1349C23C2×H(5,𝔽2)12yes—
1350C23C2×H(5,𝔽2)12yes—
1351C23C2×H(5,𝔽2)12yes—
1352C23C2×H(5,𝔽2)12yes—
1353C23C2611yescharacteristic
1354Q8—48no—
1355Q8—48no—
1356Q8—164no—
1357D4—48no—
1358D4—48no—
1359D4—48no—
1360D4—48no—
1361D4—48no—
1362D4—48no—
1363D4—48no—
1364D4—48no—
1365D4—164no—
1366D4—164no—
1367C2×C4—28no—
1368C2×C4—22no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—28no—
1379C2×C4—28no—
1380C2×C4—28no—
1381C2×C4—28no—
1382C2×C4—28no—
1383C2×C4—28no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—22no—
1399C2×C4—24no—
1400C2×C4—24no—
1401C2×C4—24no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—48no—
1431C2×C4—48no—
1432C2×C4—48no—
1433C2×C4—48no—
1434C2×C4—48no—
1435C2×C4—48no—
1436C2×C4—48no—
1437C2×C4—48no—
1438C2×C4—44no—
1439C2×C4—48no—
1440C2×C4—48no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4—84no—
1449C2×C4—84no—
1450C2×C4—84no—
1451C2×C4—84no—
1452C2×C4—84no—
1453C2×C4—84no—
1454C2×C4—164no—
1455C2×C4C22×#4112yes—
1456C2×C4C22×#4112yes—
1457C2×C4C22×#4112yes—
1458C2×C4C22×#4112yes—
1459C2×C4#58514yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—24no—
1467C22—24no—
1468C22—24no—
1469C22—24no—
1470C22—24no—
1471C22—24no—
1472C22—416no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—44no—
1480C22—44no—
1481C22—44no—
1482C22—44no—
1483C22—44no—
1484C22—44no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—88no—
1489C22—88no—
1490C22—164no—
1491C22C2×#53814yes—
1492C22C2×#53814yes—
1493C22C2×#53814yes—
1494C22C23×#4111yescharacteristic
1495C22C22×H(5,𝔽2)11yescharacteristic
1496C22C22×H(5,𝔽2)11yescharacteristic
1497C22C2×#58512yes—
1498C222−1+612yes—
1499C4—24no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—44no—
1508C4—44no—
1509C4—44no—
1510C4—44no—
1511C4—44no—
1512C4—44no—
1513C4—44no—
1514C4—44no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C2—24no—
1521C2—24no—
1522C2—24no—
1523C2—82no—
1524C2—82no—
1525C2—82no—
1526C2C22×#53811yescharacteristic
1527C2#6281411yescharacteristic
1528C2#6286011yescharacteristic
1529C2#6290112yes—
1530C2#6290112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35088C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42319C2semidirect
2. #42191C2semidirect
3. #42012C2semidirect
4. #41963C2semidirect
5. #38468C2semidirect
6. #38467C2semidirect
7. #38399C2semidirect
8. #38397C2semidirect
9. #37497C2semidirect
10. #36997C2semidirect
11. #36823C2semidirect
12. #35455C2semidirect
13. #35447C2semidirect
14. #35370C2semidirect
15. #35360C2semidirect
16. #35097C2semidirect
17. #35090C2semidirect
18. #35089C2semidirect
20. #35058C2semidirect
21. #34995C2semidirect
22. #34993C2semidirect
23. C2×#2413C2semidirect
24. C2×#2406C2semidirect
25. #34199C2semidirect
26. C2×#2344C2semidirect
27. #34044C2semidirect
41. #2855C22semidirect
42. #2854C22semidirect
43. #2853C22semidirect
44. #2852C22semidirect
45. #2850C22semidirect
48. #2833C22semidirect
49. #2831C22semidirect
50. #2830C22semidirect
51. #2829C22semidirect
52. #2808C22semidirect
53. #2806C22semidirect
54. #2805C22semidirect
55. #2803C22semidirect
56. #2803C22semidirect
57. #2800C22semidirect
58. #2800C22semidirect
59. #2797C22semidirect
60. #2788C22semidirect
61. #2788C22semidirect
62. #2788C22semidirect
63. #2787C22semidirect
64. #2787C22semidirect
65. #2786C22semidirect
66. #2784C22semidirect
67. #2781C22semidirect
68. #2780C22semidirect
69. #2779C22semidirect
70. #2775C22semidirect
71. #2774C22semidirect
72. #2774C22semidirect
73. #2770C22semidirect
74. #2770C22semidirect
75. #2768C22semidirect
76. #2768C22semidirect
77. #2759C22semidirect
78. #2750C22semidirect
79. #2745C22semidirect
80. #2727C22semidirect
81. #2715C22semidirect
82. #2710C22semidirect
83. #2695C22semidirect
84. #2666C22semidirect
85. #2666C22semidirect
86. #2665C22semidirect
87. #2662C22semidirect
88. #2653C22semidirect
89. #2652C22semidirect
90. #2652C22semidirect
91. #2651C22semidirect
92. #2651C22semidirect
93. #2650C22semidirect
94. #2649C22semidirect
95. #2648C22semidirect
96. #2643C22semidirect
97. #2639C22semidirect
98. #2627C22semidirect
99. #2623C22semidirect
100. #2618C22semidirect
103. #2597C22semidirect
104. #2595C22semidirect
105. #2593C22semidirect
106. #2589C22semidirect
107. #2589C22semidirect
108. #2587C22semidirect
109. #2587C22semidirect
110. #2586C22semidirect
111. #2578C22semidirect
112. #2576C22semidirect
113. #2574C22semidirect
114. #2561C22semidirect
115. #2554C22semidirect
117. #2510C22semidirect
118. #2510C22semidirect
119. #2510C22semidirect
120. #2503C22semidirect
121. #2498C22semidirect
122. #2498C22semidirect
123. #2498C22semidirect
124. #2493C22semidirect
125. #2493C22semidirect
127. #2488C22semidirect
128. #2488C22semidirect
129. #2488C22semidirect
130. #2488C22semidirect
131. #2488C22semidirect
133. #2484C22semidirect
134. #2482C22semidirect
135. #2481C22semidirect
136. #2481C22semidirect
137. #2481C22semidirect
138. #2480C22semidirect
139. #2480C22semidirect
141. #2472C22semidirect
142. #2444C22semidirect
143. #2443C22semidirect
144. #2438C22semidirect
145. #2438C22semidirect
146. #2438C22semidirect
147. #2438C22semidirect
150. #2425C22semidirect
151. #2425C22semidirect
157. #2413C22semidirect
158. #2413C22semidirect
159. #2413C22semidirect
160. #2413C22semidirect
161. #2413C22semidirect
162. #2413C22semidirect
163. #2412C22semidirect
164. #2412C22semidirect
166. #2411C22semidirect
171. #2406C22semidirect
172. #2406C22semidirect
173. #2406C22semidirect
174. #2406C22semidirect
177. C2×#398C22semidirect
178. C2×#396C22semidirect
179. C2×#395C22semidirect
180. C2×#394C22semidirect
183. #2344C22semidirect
184. #2344C22semidirect
185. #2344C22semidirect
186. #2344C22semidirect
187. #2344C22semidirect
188. #2344C22semidirect
189. #2342C22semidirect
190. #2342C22semidirect
191. #2337C22semidirect
192. #2335C22semidirect
193. #2334C22semidirect
194. #2334C22semidirect
195. #2322C22semidirect
201. #2311C22semidirect
202. #2310C22semidirect
203. #2309C22semidirect
211. C4×#123C22semidirect
213. #2297C22semidirect
214. C2×#389C22semidirect
215. C2×#389C22semidirect
216. C2×#388C22semidirect
217. C2×#387C22semidirect
218. C2×#387C22semidirect
223. C2×#385C22semidirect
224. C2×#385C22semidirect
225. #2280C22semidirect
226. #2280C22semidirect
233. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#423192
#421912
#420122
#419632
#384682
#384672
#383992
#383972
#374972
#369972
#368232
#354552
#354472
#353702
#353602
#350972
#350902
#350892
#350882
#350582
#349952
#349932
C2×#24132
C2×#24062
#341992
C2×#23442
#340442