Finite Group Databasebeta

← #7698409

Subgroups — #7698409

Order 512.

8256 conjugacy classes of subgroups.

The subgroup lattice has 1585 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3487C211yesmaximal, characteristic, complemented
2C2×#3522C211yesmaximal, characteristic, complemented
3#59417C213yesmaximal, complemented
4#59097C213yesmaximal, complemented
5#59024C213yesmaximal, complemented
6#52129C213yesmaximal, complemented
7#45417C213yesmaximal, complemented
8#45316C213yesmaximal, complemented
9#45247C213yesmaximal, complemented
10#44957C213yesmaximal, complemented
11#44930C213yesmaximal, complemented
12#44871C213yesmaximal, complemented
13#39419C213yesmaximal, complemented
14#38956C213yesmaximal, complemented
15#38033C213yesmaximal, complemented
16#37839C213yesmaximal, complemented
17#37782C213yesmaximal, complemented
18#37669C213yesmaximal, complemented
19#36578C211yesmaximal, characteristic, complemented
20#36457C211yesmaximal, characteristic, complemented
21#36429C211yesmaximal, characteristic, complemented
22#36076C211yesmaximal, characteristic, complemented
23#36029C211yesmaximal, characteristic, complemented
24#36029C211yesmaximal, characteristic, complemented
25#36018C211yesmaximal, characteristic, complemented
26#35757C211yesmaximal, characteristic, complemented
27#35711C211yesmaximal, characteristic, complemented
28#34312C211yesmaximal, characteristic, complemented
29#34312C211yesmaximal, characteristic, complemented
30#34257C211yesmaximal, characteristic, complemented
31#34175C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3522—216no—
35#3487—216no—
36C2×#559C2213yescomplemented
37C2×Q82C2211yescharacteristic, complemented
38C2×#554C2213yescomplemented
39C2×#550C2213yes—
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2213yes—
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic
45C2×#550C2211yescharacteristic, complemented
46C2×#548C2213yes—
47C2×#548C2211yescharacteristic
48C2×#548C2213yes—
49C2×#548C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic, complemented
52C2×#547C2213yescomplemented
53C2×#547C2213yescomplemented
54C2×#542C2213yescomplemented
55C2×#542C2213yescomplemented
56C2×#535C2213yes—
57C2×#535C2213yes—
58C2×#532C2213yescomplemented
59C2×#529C2213yescomplemented
60C2×#525C2213yes—
61C2×#525C2213yes—
62C2×#520C2211yescharacteristic
63C2×#520C2211yescharacteristic
64C2×#520C2211yescharacteristic, complemented
65C2×#519C2211yescharacteristic
66C2×#519C2211yescharacteristic, complemented
67C22×C4×Q8C2211yescharacteristic, complemented
68#2858C2213yescomplemented
69#2854C2213yescomplemented
70#2847C2213yes—
71#2712C2216yescomplemented
72#2709C2216yescomplemented
73#2707C2213yes—
74#2706C2213yes—
75#2705C2213yes—
76#2704C2213yescomplemented
77#2703C2216yescomplemented
78#2703C2216yescomplemented
79#2703C2213yescomplemented
80#2703C2216yescomplemented
81#2702C2213yescomplemented
82#2701C2213yescomplemented
83#2700C2216yescomplemented
84#2700C2213yescomplemented
85#2699C2213yescomplemented
86#2698C2213yescomplemented
87#2697C2213yes—
88#2696C2216yes—
89#2692C2216yescomplemented
90#2687C2211yescharacteristic
91#2685C2213yes—
92#2678C2216yes—
93#2678C2213yes—
94#2673C2216yescomplemented
95#2672C2216yescomplemented
96#2672C2213yescomplemented
97#2671C2216yescomplemented
98#2670C2216yes—
99#2670C2213yes—
100#2628C2213yes—
101#2624C2213yescomplemented
102#2619C2213yescomplemented
103#2619C2213yescomplemented
104#2619C2213yescomplemented
105#2615C2213yes—
106#2581C2213yescomplemented
107#2568C2213yescomplemented
108#2563C2213yescomplemented
109#2559C2216yescomplemented
110#2557C2216yescomplemented
111#2555C2216yescomplemented
112#2555C2216yescomplemented
113#2548C2213yescomplemented
114#2548C2213yescomplemented
115#2541C2213yescomplemented
116#2541C2213yescomplemented
117#2539C2216yes—
118#2536C2213yescomplemented
119#2535C2213yescomplemented
120#2535C2213yescomplemented
121#2504C2213yescomplemented
122#2504C2213yescomplemented
123#2491C2213yescomplemented
124#2491C2213yescomplemented
125#2491C2213yescomplemented
126#2491C2213yescomplemented
127#2488C2216yescomplemented
128#2487C2213yescomplemented
129#2486C2213yescomplemented
130#2472C2216yes—
131#2467C2216yescomplemented
132#2464C2216yescomplemented
133#2460C2216yescomplemented
134#2459C2216yescomplemented
135#2459C2216yescomplemented
136#2457C2216yescomplemented
137#2451C2213yescomplemented
138#2451C2213yescomplemented
139#2450C2216yescomplemented
140#2448C2213yescomplemented
141#2448C2213yescomplemented
142#2445C2213yescomplemented
143#2445C2213yescomplemented
144#2439C2213yes—
145#2439C2213yes—
146#2436C2213yescomplemented
147#2433C2213yes—
148#2431C2213yes—
149#2431C2213yes—
150#2431C2213yes—
151#2431C2216yescomplemented
152#2431C2216yescomplemented
153#2431C2213yescomplemented
154#2430C2216yescomplemented
155#2428C2213yescomplemented
156#2428C2213yescomplemented
157#2428C2213yescomplemented
158#2428C2213yescomplemented
159#2427C2216yescomplemented
160#2427C2216yescomplemented
161#2426C2213yescomplemented
162#2426C2213yescomplemented
163#2424C2216yes—
164#2421C2213yescomplemented
165#2421C2213yescomplemented
166#2420C2213yescomplemented
167#2420C2213yescomplemented
168#2416C2213yescomplemented
169#2416C2213yescomplemented
170#2416C2213yescomplemented
171#2416C2213yescomplemented
172#2414C2213yescomplemented
173#2414C2213yescomplemented
174#2409C2213yescomplemented
175#2408C2213yes—
176#2407C2213yes—
177#2407C2213yes—
178#2407C2213yes—
179#2407C2213yescomplemented
180#2404C2216yes—
181#2396C2213yes—
182#2395C2213yescomplemented
183#2392C2213yescomplemented
184#2392C2213yescomplemented
185#2392C2213yescomplemented
186#2388C2213yes—
187#2367C2213yescomplemented
188#2367C2213yescomplemented
189#2364C2216yescomplemented
190#2363C2213yes—
191#2363C2213yescomplemented
192#2360C2213yescomplemented
193#2360C2213yescomplemented
194#2352C2213yes—
195#2352C2213yescomplemented
196#2351C2211yescharacteristic, complemented
197#2351C2211yescharacteristic, complemented
198#2351C2211yescharacteristic, complemented
199#2351C2211yescharacteristic, complemented
200#2341C2211yescharacteristic
201#2341C2213yes—
202#2341C2211yescharacteristic
203#2341C2211yescharacteristic
204#2341C2211yescharacteristic
205#2341C2213yes—
206#2341C2211yescharacteristic, complemented
207#2341C2211yescharacteristic, complemented
208#2341C2211yescharacteristic, complemented
209#2341C2211yescharacteristic, complemented
210Q8×C22⋊C4C2211yescharacteristic
211Q8×C22⋊C4C2211yescharacteristic
212Q8×C22⋊C4C2211yescharacteristic
213Q8×C22⋊C4C2213yescomplemented
214Q8×C22⋊C4C2211yescharacteristic, complemented
215Q8×C22⋊C4C2213yescomplemented
216#2339C2213yes—
217#2339C2213yes—
218D4×C22⋊C4C2213yes—
219D4×C22⋊C4C2213yes—
220#2324C2213yes—
221#2324C2213yescomplemented
222#2323C2213yescomplemented
223#2323C2213yescomplemented
224#2311C2213yes—
225#2311C2213yes—
226#2311C2213yes—
227#2311C2213yescomplemented
228C4×#124C2213yescomplemented
229C4×#124C2213yescomplemented
230C4×#124C2213yescomplemented
231C4×#123C2213yescomplemented
232C4×#120C2213yes—
233#2297C2213yes—
234#2297C2213yescomplemented
235#2293C2213yes—
236#2293C2213yescomplemented
237#2280C2213yes—
238C2×#380C2213yes—
239C42×Q8C2211yescharacteristic, complemented
240C2×2−1+4—28no—
241C2×2−1+4—28no—
242C2×2−1+4—44no—
243C22×#41—28no—
244C22×#41—28no—
245C22×#41—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2311yescharacteristic
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2313yes—
252C22×#41C2313yes—
253C22×#41C2313yes—
254C22×#41C2311yescharacteristic
255C22×#41C2316yes—
256C23×Q8C2313yes—
257C23×Q8C2311yescharacteristic
258C23×Q8C2311yescharacteristic
259C23×D4C2313yes—
260C24×C4C2313yes—
261#559—224no—
262Q82—28no—
263#554—224no—
264#550—28no—
265#550—28no—
266#550—224no—
267#550—28no—
268#550—224no—
269#550—44no—
270#550—44no—
271#548—28no—
272#548—28no—
273#548—28no—
274#548—224no—
275#548—224no—
276#548D4116yescomplemented
277#547—224no—
278#547—224no—
279#542—224no—
280#542—224no—
281#535—224no—
282#535—224no—
283#532—224no—
284C2×C4⋊Q8C2313yes—
285C2×C4⋊Q8C2313yes—
286C2×C4⋊Q8C2313yes—
287C2×#127C2313yes—
288C2×#127C2316yes—
289C2×#127C2313yes—
290C2×#127C2313yes—
291C2×#127C2313yes—
292C2×#127C2313yes—
293#529—224no—
294C2×#126C2313yes—
295C2×#126C2313yes—
296C2×#125C2313yes—
297C2×#124C2313yes—
298C2×#124C2313yes—
299C2×#124C2316yes—
300C2×#124C2313yes—
301C2×#124C2316yes—
302C2×#124C2313yes—
303C2×#124C2313yes—
304C2×#124C2316yes—
305C2×#124C2316yes—
306C2×#124C2313yes—
307#525—224no—
308#525—224no—
309C2×#123C2311yescharacteristic
310C2×#123C2313yes—
311C2×#123C2316yes—
312C2×#123C2313yes—
313C2×#123C2313yes—
314C2×#123C2316yes—
315C2×#123C2313yes—
316C2×#123C2316yes—
317C2×C22⋊Q8C2313yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2316yes—
324C2×C22⋊Q8C2316yes—
325C2×C22⋊Q8C2313yes—
326C2×#121C2313yes—
327C2×#121C2313yes—
328C2×#121C2313yes—
329C2×#121C2313yes—
330C2×#121C2313yes—
331C2×#121C2313yes—
332C2×#121C2313yes—
333C2×#121C2313yes—
334C2×#121C2313yes—
335C2×#121C2316yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2316yes—
340C2×#121C2313yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2313yes—
344C2×#121C2316yes—
345C2×#121C2316yes—
346C2×#121C2316yes—
347C2×#121C2316yes—
348C2×#121C2313yes—
349C2×#120C2313yes—
350C2×#120C2316yes—
351C2×#120C2313yes—
352C2×#120C2313yes—
353C2×#120C2316yes—
354#520—28no—
355#520—28no—
356#520—44no—
357#519—28no—
358#519—44no—
359C2×C4×Q8—28no—
360C2×C4×Q8C2313yes—
361C2×C4×Q8C2313yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2313yes—
370C2×C4×Q8C2313yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2313yes—
373C2×C4×Q8C2313yes—
374C2×C4×Q8C2313yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2313yes—
377C2×C4×D4C2313yes—
378C2×C4×D4C2313yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2316yes—
383C2×C4×D4C2316yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2316yes—
389C2×C4×D4C2313yes—
390C2×C4×D4C2313yes—
391C2×C4×D4C2313yes—
392C2×C4×D4C2313yes—
393C2×C4×D4C2313yes—
394C2×#117C2313yes—
395C2×#117C2313yes—
396C2×#117C2313yes—
397C2×#117C2313yes—
398C2×#117C2313yes—
399C2×#117C2313yes—
400C2×#117C2313yes—
401C22×C4⋊C4C2313yes—
402C22×C4⋊C4C2313yes—
403C22×C4⋊C4C2313yes—
404C22×C4⋊C4C2313yes—
405C22×C22⋊C4C2316yes—
406C22×C42C2313yes—
407#400C2313yes—
408#400C2316yes—
409#400C2311yescharacteristic
410#400C2316yes—
411#399C2313yes—
412#399C2313yes—
413#399C2316yes—
414#398C2311yescharacteristic
415#398C2311yescharacteristic
416#398C2313yes—
417#398C2313yes—
418#398C2313yes—
419#398C2313yes—
420#397C2316yes—
421#397C2311yescharacteristic
422#397C2313yes—
423#397C2313yes—
424#397C2313yes—
425#397C2313yes—
426#397C2313yes—
427#397C2316yes—
428#397C2316yes—
429#396C2313yes—
430#396C2313yes—
431#396C2313yes—
432#396C2313yes—
433#396C2313yes—
434#396C2313yes—
435#396C2313yes—
436#396C2313yes—
437#395C2313yes—
438#395C2316yes—
439#395C2313yes—
440#394C2313yes—
441#394C2313yes—
442#394C2316yes—
443#394C2316yes—
444#394C2316yes—
445#394C2316yes—
446#394C2316yes—
447#394C2316yes—
448#394C2311yescharacteristic
449#394C2313yes—
450#394C2313yes—
451#394C2313yes—
452#394C2313yes—
453#394C2313yes—
454#394C2313yes—
455#394C2313yes—
456#394C2313yes—
457#394C2313yes—
458#394C2313yes—
459#394C2313yes—
460#394C2316yes—
461#394C2316yes—
462#394C2316yes—
463#393C2316yes—
464#393C2316yes—
465#393C2316yes—
466#393C2316yes—
467#393C2313yes—
468#393C2311yescharacteristic
469#392C2313yes—
470#392C2316yes—
471#392C2316yes—
472#392C2313yes—
473#392C2316yes—
474#392C2316yes—
475#392C2316yes—
476#392C2316yes—
477#392C2316yes—
478#392C2313yes—
479#392C2313yes—
480#392C2313yes—
481#392C2313yes—
482#392C2316yes—
483#392C2316yes—
484#392C2316yes—
485#391C2313yes—
486#391C2313yes—
487#391C2313yes—
488#391C2313yes—
489#391C2316yes—
490#391C2313yes—
491#391C2316yes—
492#391C2316yes—
493#391C2313yes—
494#391C2313yes—
495#391C2313yes—
496#391C2313yes—
497#391C2313yes—
498#391C2311yescharacteristic
499#390C2316yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2316yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2313yes—
510#390C2313yes—
511#390C2313yes—
512#390C2313yes—
513#390C2313yes—
514#390C2313yes—
515#390C2313yes—
516#390C2313yes—
517#390C2313yes—
518#390C2313yes—
519#390C2313yes—
520#390C2313yes—
521#390C2313yes—
522#390C2313yes—
523#390C2313yes—
524#390C2316yes—
525#390C2316yes—
526#389C2313yes—
527#389C2313yes—
528#389C2313yes—
529#389C2313yes—
530#389C2313yes—
531#389C2313yes—
532#389C2313yes—
533#389C2313yes—
534#389C2313yes—
535#389C2313yes—
536#389C2313yes—
537#389C2313yes—
538#388C2316yes—
539#388C2316yes—
540#388C2316yes—
541#388C2316yes—
542#388C2316yes—
543#388C2316yes—
544#388C2313yes—
545#388C2313yes—
546#388C2313yes—
547#388C2316yes—
548#388C2313yes—
549#388C2313yes—
550#388C2316yes—
551#388C2313yes—
552#388C2313yes—
553#388C2311yescharacteristic
554#388C2313yes—
555#388C2313yes—
556#388C2311yescharacteristic
557#388C2313yes—
558#388C2313yes—
559#388C2313yes—
560#387C2316yes—
561#387C2316yes—
562#387C2316yes—
563#387C2316yes—
564#387C2313yes—
565#387C2313yes—
566#386C2313yes—
567#386C2316yes—
568#386C2316yes—
569#386C2316yes—
570#386C2316yes—
571#386C2316yes—
572#386C2313yes—
573#386C2316yes—
574#386C2316yes—
575#386C2313yes—
576#386C2316yes—
577#386C2316yes—
578#386C2316yes—
579#386C2313yes—
580#386C2316yes—
581#386C2316yes—
582#386C2316yes—
583#386C2316yes—
584#386C2316yes—
585#386C2316yes—
586#386C2316yes—
587#386C2316yes—
588#386C2313yes—
589#386C2316yes—
590#386C2311yescharacteristic
591#386C2313yes—
592#386C2313yes—
593#385C2316yes—
594#385C2316yes—
595#385C2313yes—
596#385C2313yes—
597#385C2316yes—
598#385C2313yes—
599#385C2311yescharacteristic
600#382C2313yes—
601#382C2313yes—
602#382C2313yes—
603#382C2313yes—
604#382C2313yes—
605#381C2313yes—
606#381C2313yes—
607#381C2316yes—
608#381C2311yescharacteristic
609#380C2313yes—
610#380C2313yes—
611#380C2313yes—
612#380C2313yes—
613#380C2313yes—
614#380C2313yes—
615#380C2316yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#380C2316yes—
620#380C2316yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625#380C2313yes—
626#380C2311yescharacteristic
627#380C2313yes—
628#379C2313yes—
629#379C2313yes—
630#379C2313yes—
631C4×C4⋊C4C2313yes—
632C4×C4⋊C4C2313yes—
633C4×C4⋊C4C2313yes—
634C4×C4⋊C4C2313yes—
635C4×C4⋊C4C2313yes—
636C4×C4⋊C4C2313yes—
637C4×C4⋊C4C2313yes—
638C4×C22⋊C4C2313yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2316yes—
644C4×C22⋊C4C2316yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2313yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2316yes—
653C4×C22⋊C4C2316yes—
654C4×C22⋊C4C2316yes—
655C4×C22⋊C4C2316yes—
656C2×#95C2316yes—
657C43C2313yes—
658C25C2413yes—
6592−1+4—464no—
660C2×#41—24no—
661C2×#41—212no—
662C2×#41—24no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—212no—
667C2×#41—212no—
668C2×#41—24no—
669C2×#41—212no—
670C2×#41—24no—
671C2×#41—24no—
672C2×#41—24no—
673C2×#41—24no—
674C2×#41—24no—
675C2×#41—212no—
676C2×#41—224no—
677C2×#41—212no—
678C2×#41—212no—
679C2×#41—212no—
680C2×#41—212no—
681C2×#41—212no—
682C2×#41—46no—
683C2×#41—46no—
684C2×#41—46no—
685C2×#41—46no—
686C2×#41—46no—
687C2×#41—464no—
688C2×#41—86no—
689C2×#41—86no—
690C2×#41C2×D418yes—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8—24no—
694C22×Q8—24no—
695C22×Q8—212no—
696C22×Q8—212no—
697C22×Q8—46no—
698C22×Q8C2×D418yes—
699C22×Q8#4118yescomplemented
700C22×Q8C2411yescharacteristic
701C22×Q8C2413yes—
702C22×Q8C2413yes—
703C22×Q8C2413yes—
704C22×Q8C2416yes—
705C22×Q8C2411yescharacteristic
706C22×D4—212no—
707C22×D4—212no—
708C22×D4—46no—
709C22×D4C2413yes—
710C22×D4C2413yes—
711C22×D4C2413yes—
712C22×D4C2413yes—
713C22×D4C2411yescharacteristic
714C22×D4C2413yes—
715C22×D4C2416yes—
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2413yes—
719C22×D4C2413yes—
720C22×D4C2416yes—
721C22×D4C2416yes—
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2416yes—
726C22×D4C2413yes—
727C22×D4C2413yes—
728C22×D4C2416yes—
729C22×D4C2416yes—
730C22×D4C2413yes—
731C23×C4—212no—
732C23×C4—212no—
733C23×C4—46no—
734C23×C4C2413yes—
735C23×C4C2413yes—
736C23×C4C2413yes—
737C23×C4C2416yes—
738C23×C4C2413yes—
739C23×C4C2413yes—
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2413yes—
743C23×C4C2413yes—
744C23×C4C2413yes—
745C23×C4C2416yes—
746C23×C4C2413yes—
747C23×C4C2416yes—
748C23×C4C2416yes—
749C4⋊Q8—212no—
750C4⋊Q8—212no—
751C4⋊Q8—212no—
752#127—212no—
753#127—224no—
754#127—212no—
755#127—212no—
756#127—46no—
757#127—46no—
758#126—212no—
759#126—212no—
760#125—212no—
761#124—212no—
762#124—212no—
763#124—212no—
764#124—212no—
765#124—224no—
766#124—224no—
767#124—46no—
768#124—86no—
769#124—86no—
770#124C2×D4124yes—
771#123—212no—
772#123—212no—
773#123—24no—
774#123—212no—
775#123—224no—
776#123—224no—
777#123—46no—
778#123—86no—
779C22⋊Q8—212no—
780C22⋊Q8—212no—
781C22⋊Q8—212no—
782C22⋊Q8—212no—
783C22⋊Q8—224no—
784C22⋊Q8—212no—
785C22⋊Q8—24no—
786C22⋊Q8—224no—
787C22⋊Q8C2×D4124yes—
788#121—212no—
789#121—212no—
790#121—212no—
791#121—212no—
792#121—212no—
793#121—212no—
794#121—212no—
795#121—212no—
796#121—212no—
797#121—212no—
798#121—212no—
799#121—212no—
800#121—224no—
801#121—224no—
802#121—412no—
803#121—46no—
804#121—46no—
805#121—46no—
806#121—46no—
807#121—86no—
808#121—86no—
809#121—86no—
810#121C2×D4124yes—
811#120—212no—
812#120—224no—
813#120—212no—
814#120—46no—
815#120—86no—
816C4×Q8—24no—
817C4×Q8—212no—
818C4×Q8—24no—
819C4×Q8—212no—
820C4×Q8—24no—
821C4×Q8—24no—
822C4×Q8—24no—
823C4×Q8—24no—
824C4×Q8—24no—
825C4×Q8—24no—
826C4×Q8—212no—
827C4×Q8—212no—
828C4×Q8—212no—
829C4×Q8—46no—
830C4×Q8—46no—
831C4×Q8C2×D418yes—
832C4×D4—212no—
833C4×D4—212no—
834C4×D4—212no—
835C4×D4—212no—
836C4×D4—212no—
837C4×D4—212no—
838C4×D4—212no—
839C4×D4—212no—
840C4×D4—224no—
841C4×D4—224no—
842C4×D4—224no—
843C4×D4—212no—
844C4×D4—212no—
845C4×D4—46no—
846C4×D4—46no—
847C4×D4—46no—
848C4×D4—46no—
849C4×D4C2×D4124yes—
850#117—212no—
851#117—212no—
852#117—212no—
853#117—212no—
854#117—46no—
855#117—46no—
856#117—46no—
857C2×C4⋊C4—212no—
858C2×C4⋊C4—212no—
859C2×C4⋊C4—212no—
860C2×C4⋊C4—46no—
861C2×C4⋊C4C2413yes—
862C2×C4⋊C4C2413yes—
863C2×C4⋊C4C2413yes—
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2416yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2413yes—
900C2×C4⋊C4C2413yes—
901C2×C22⋊C4—86no—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2411yescharacteristic
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2413yes—
907C2×C22⋊C4C2413yes—
908C2×C22⋊C4C2411yescharacteristic
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2416yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2416yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2411yescharacteristic
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2416yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2416yes—
929C2×C22⋊C4C2416yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2411yescharacteristic
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2416yes—
940C2×C22⋊C4C2416yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2416yes—
946C2×C22⋊C4C2416yes—
947C2×C22⋊C4C2416yes—
948C2×C22⋊C4C2416yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2411yescharacteristic
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2416yes—
965C2×C22⋊C4C2413yes—
966C2×C42—212no—
967C2×C42C2413yes—
968C2×C42C2413yes—
969C2×C42C2416yes—
970C2×C42C2413yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2413yes—
974C2×C42C2413yes—
975C2×C42C2413yes—
976C2×C42C2413yes—
977C2×C42C2413yes—
978C2×C42C2416yes—
979C2×C42C2413yes—
980C2×C42C2413yes—
981C2×C42C2413yes—
982C2×C42C2411yescharacteristic
983C2×C42C2413yes—
984#95C2413yes—
985#95C2413yes—
986#95C2416yes—
987#95C2416yes—
988#95C2413yes—
989#95C2411yescharacteristic
990#95C2411yescharacteristic
991#95C2413yes—
992#95C2411yescharacteristic
993#95C2411yescharacteristic
994#95C2413yes—
995#95C2413yes—
996#95C2411yescharacteristic
997#95C2411yescharacteristic
998#95C2411yescharacteristic
999#95C2411yescharacteristic
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2416yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2416yes—
1013#95C2416yes—
1014#95C2416yes—
1015#95C2413yes—
1016#95C2411yescharacteristic
1017#95C2411yescharacteristic
1018#95C2416yes—
1019#95C2411yescharacteristic
1020#95C2411yescharacteristic
1021#95C2413yes—
1022#95C2413yes—
1023#95C2416yes—
1024#95C2416yes—
1025C24—26no—
1026C24—26no—
1027C24—43no—
1028C24—43no—
1029C24—43no—
1030C24—43no—
1031C24—43no—
1032C24C2513yes—
1033C24C2513yes—
1034C24C2513yes—
1035C24C2513yes—
1036C24C2511yescharacteristic
1037C24C2511yescharacteristic
1038#41—232no—
1039#41—448no—
1040#41—448no—
1041#41—448no—
1042#41—448no—
1043#41—448no—
1044#41—416no—
1045#41—416no—
1046#41—416no—
1047#41—848no—
1048C2×Q8—232no—
1049C2×Q8—232no—
1050C2×Q8—26no—
1051C2×Q8—22no—
1052C2×Q8—26no—
1053C2×Q8—212no—
1054C2×Q8—26no—
1055C2×Q8—26no—
1056C2×Q8—26no—
1057C2×Q8—26no—
1058C2×Q8—22no—
1059C2×Q8—43no—
1060C2×Q8—41no—
1061C2×Q8—46no—
1062C2×Q8—46no—
1063C2×Q8—448no—
1064C2×Q8C22×D4112yes—
1065C2×Q8C22×D414yes—
1066C2×Q8C2×#41112yes—
1067C2×Q8C2×#4114yes—
1068C2×Q8H(5,𝔽2)14yes—
1069C2×D4—26no—
1070C2×D4—26no—
1071C2×D4—22no—
1072C2×D4—212no—
1073C2×D4—26no—
1074C2×D4—26no—
1075C2×D4—22no—
1076C2×D4—26no—
1077C2×D4—26no—
1078C2×D4—212no—
1079C2×D4—212no—
1080C2×D4—26no—
1081C2×D4—26no—
1082C2×D4—26no—
1083C2×D4—26no—
1084C2×D4—26no—
1085C2×D4—212no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—26no—
1089C2×D4—212no—
1090C2×D4—26no—
1091C2×D4—26no—
1092C2×D4—26no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—26no—
1096C2×D4—26no—
1097C2×D4—26no—
1098C2×D4—448no—
1099C2×D4—46no—
1100C2×D4—43no—
1101C2×D4—43no—
1102C2×D4—43no—
1103C2×D4—41no—
1104C2×D4—43no—
1105C2×D4—43no—
1106C2×D4—43no—
1107C2×D4—43no—
1108C2×D4—43no—
1109C2×D4—43no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—43no—
1113C2×D4—46no—
1114C2×D4—46no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—43no—
1118C2×D4—46no—
1119C2×D4—46no—
1120C2×D4—46no—
1121C2×D4—43no—
1122C2×D4—43no—
1123C2×D4—43no—
1124C2×D4—43no—
1125C2×D4—43no—
1126C2×D4—43no—
1127C2×D4—46no—
1128C2×D4—46no—
1129C2×D4—46no—
1130C2×D4—46no—
1131C2×D4—46no—
1132C2×D4—46no—
1133C2×D4—46no—
1134C2×D4C22×D4112yes—
1135C2×D4C22×D4112yes—
1136C22×C4—26no—
1137C22×C4—26no—
1138C22×C4—26no—
1139C22×C4—26no—
1140C22×C4—26no—
1141C22×C4—26no—
1142C22×C4—22no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—22no—
1146C22×C4—212no—
1147C22×C4—26no—
1148C22×C4—212no—
1149C22×C4—26no—
1150C22×C4—26no—
1151C22×C4—26no—
1152C22×C4—22no—
1153C22×C4—26no—
1154C22×C4—26no—
1155C22×C4—26no—
1156C22×C4—26no—
1157C22×C4—212no—
1158C22×C4—26no—
1159C22×C4—26no—
1160C22×C4—26no—
1161C22×C4—26no—
1162C22×C4—22no—
1163C22×C4—212no—
1164C22×C4—41no—
1165C22×C4—43no—
1166C22×C4—43no—
1167C22×C4—41no—
1168C22×C4—46no—
1169C22×C4—43no—
1170C22×C4—43no—
1171C22×C4—448no—
1172C22×C4—46no—
1173C22×C4—46no—
1174C22×C4—46no—
1175C22×C4—46no—
1176C22×C4—46no—
1177C22×C4—46no—
1178C22×C4—46no—
1179C22×C4C22×D4112yes—
1180C22×C4C22×D4112yes—
1181C22×C4C2×#41112yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2513yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2511yescharacteristic
1187C22×C4C2513yes—
1188C22×C4C2513yes—
1189C22×C4C2513yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2513yes—
1192C22×C4C2513yes—
1193C22×C4C2513yes—
1194C22×C4C2513yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2513yes—
1202C22×C4C2513yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2513yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2513yes—
1207C4⋊C4—26no—
1208C4⋊C4—26no—
1209C4⋊C4—26no—
1210C4⋊C4—26no—
1211C4⋊C4—26no—
1212C4⋊C4—212no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—26no—
1216C4⋊C4—26no—
1217C4⋊C4—26no—
1218C4⋊C4—22no—
1219C4⋊C4—26no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—26no—
1223C4⋊C4—26no—
1224C4⋊C4—26no—
1225C4⋊C4—26no—
1226C4⋊C4—26no—
1227C4⋊C4—26no—
1228C4⋊C4—26no—
1229C4⋊C4—26no—
1230C4⋊C4—26no—
1231C4⋊C4—26no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—41no—
1235C4⋊C4—43no—
1236C4⋊C4—43no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—43no—
1240C4⋊C4—43no—
1241C4⋊C4—43no—
1242C4⋊C4—43no—
1243C4⋊C4—43no—
1244C4⋊C4—43no—
1245C4⋊C4C22×D4112yes—
1246C4⋊C4C22×D4112yes—
1247C22⋊C4—26no—
1248C22⋊C4—26no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—26no—
1252C22⋊C4—26no—
1253C22⋊C4—22no—
1254C22⋊C4—26no—
1255C22⋊C4—22no—
1256C22⋊C4—26no—
1257C22⋊C4—26no—
1258C22⋊C4—26no—
1259C22⋊C4—26no—
1260C22⋊C4—212no—
1261C22⋊C4—26no—
1262C22⋊C4—26no—
1263C22⋊C4—26no—
1264C22⋊C4—212no—
1265C22⋊C4—26no—
1266C22⋊C4—26no—
1267C22⋊C4—212no—
1268C22⋊C4—22no—
1269C22⋊C4—26no—
1270C22⋊C4—26no—
1271C22⋊C4—43no—
1272C22⋊C4—43no—
1273C22⋊C4—46no—
1274C22⋊C4—46no—
1275C22⋊C4—41no—
1276C22⋊C4—43no—
1277C22⋊C4—41no—
1278C22⋊C4—43no—
1279C22⋊C4—43no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—43no—
1283C22⋊C4—43no—
1284C22⋊C4—43no—
1285C22⋊C4—43no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—46no—
1292C22⋊C4—46no—
1293C22⋊C4—46no—
1294C22⋊C4—43no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4—46no—
1298C22⋊C4—46no—
1299C22⋊C4—43no—
1300C22⋊C4—43no—
1301C22⋊C4—46no—
1302C22⋊C4—43no—
1303C22⋊C4—43no—
1304C22⋊C4—43no—
1305C22⋊C4—43no—
1306C22⋊C4—43no—
1307C22⋊C4—43no—
1308C22⋊C4C22×D4124yes—
1309C22⋊C4C22×D414yes—
1310C22⋊C4C22×D4112yes—
1311C42—26no—
1312C42—26no—
1313C42—26no—
1314C42—26no—
1315C42—212no—
1316C42—26no—
1317C42—26no—
1318C42—26no—
1319C42—26no—
1320C42—26no—
1321C42—26no—
1322C42—41no—
1323C42—46no—
1324C42—43no—
1325C42—43no—
1326C42—43no—
1327C42C22×D4112yes—
1328C23—21no—
1329C23—21no—
1330C23—23no—
1331C23—21no—
1332C23—23no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—23no—
1337C23—21no—
1338C23—21no—
1339C23—23no—
1340C23—23no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—23no—
1346C23—23no—
1347C23—23no—
1348C23—23no—
1349C23—23no—
1350C23—23no—
1351C23—23no—
1352C23—23no—
1353C23—23no—
1354C23—23no—
1355C23—23no—
1356C23—23no—
1357C23—23no—
1358C23—23no—
1359C23—23no—
1360C23—23no—
1361C23—23no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—23no—
1366C23—23no—
1367C23—412no—
1368C23—412no—
1369C23—86no—
1370C23—86no—
1371C23—86no—
1372C23—86no—
1373C23—86no—
1374C23C23×D416yes—
1375C23C23×D412yes—
1376C23C22×#4112yes—
1377C23C2611yescharacteristic
1378Q8—224no—
1379Q8—224no—
1380Q8—44no—
1381Q8—412no—
1382Q8—812no—
1383Q8#546116yes—
1384D4—224no—
1385D4—412no—
1386D4—412no—
1387D4—424no—
1388D4—412no—
1389D4—412no—
1390D4—44no—
1391D4—412no—
1392D4—412no—
1393D4—412no—
1394D4—412no—
1395D4—86no—
1396D4—812no—
1397D4—86no—
1398D4—812no—
1399D4—86no—
1400D4—86no—
1401D4—812no—
1402D4—86no—
1403D4—86no—
1404D4—166no—
1405D4—166no—
1406C2×C4—21no—
1407C2×C4—23no—
1408C2×C4—21no—
1409C2×C4—23no—
1410C2×C4—23no—
1411C2×C4—21no—
1412C2×C4—23no—
1413C2×C4—21no—
1414C2×C4—23no—
1415C2×C4—23no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—224no—
1419C2×C4—224no—
1420C2×C4—224no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—23no—
1424C2×C4—21no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—23no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—23no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—23no—
1440C2×C4—23no—
1441C2×C4—23no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—23no—
1446C2×C4—23no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—23no—
1451C2×C4—23no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—23no—
1458C2×C4—23no—
1459C2×C4—23no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—23no—
1464C2×C4—23no—
1465C2×C4—23no—
1466C2×C4—23no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—23no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—23no—
1475C2×C4—412no—
1476C2×C4—424no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—412no—
1480C2×C4—412no—
1481C2×C4—412no—
1482C2×C4—412no—
1483C2×C4—412no—
1484C2×C4—812no—
1485C2×C4—812no—
1486C2×C4—166no—
1487C2×C4C23×D416yes—
1488C2×C4C23×D416yes—
1489C2×C4C23×D412yes—
1490C2×C4C23×D412yes—
1491C2×C4C23×D416yes—
1492C2×C4C22×#4116yes—
1493C2×C4C22×#4116yes—
1494C2×C4C2×H(5,𝔽2)16yes—
1495C2×C4#58512yes—
1496C22—22no—
1497C22—26no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—26no—
1502C22—22no—
1503C22—22no—
1504C22—26no—
1505C22—41no—
1506C22—41no—
1507C22—43no—
1508C22—41no—
1509C22—43no—
1510C22—41no—
1511C22—41no—
1512C22—43no—
1513C22—41no—
1514C22—43no—
1515C22—41no—
1516C22—41no—
1517C22—43no—
1518C22—43no—
1519C22—43no—
1520C22—43no—
1521C22—43no—
1522C22—43no—
1523C22—43no—
1524C22—43no—
1525C22—43no—
1526C22—43no—
1527C22—43no—
1528C22—43no—
1529C22—43no—
1530C22—43no—
1531C22—43no—
1532C22—43no—
1533C22—43no—
1534C22—43no—
1535C22—43no—
1536C22—43no—
1537C22—43no—
1538C22—824no—
1539C22C24×D411yescharacteristic
1540C22C23×#4111yescharacteristic
1541C22C22×H(5,𝔽2)11yescharacteristic
1542C22C2×#58511yescharacteristic
1543C22H(7,𝔽2)11yescharacteristic
1544C22H(7,𝔽2)11yescharacteristic
1545C222−1+611yescharacteristic
1546C4—22no—
1547C4—22no—
1548C4—26no—
1549C4—22no—
1550C4—26no—
1551C4—26no—
1552C4—41no—
1553C4—43no—
1554C4—41no—
1555C4—43no—
1556C4—41no—
1557C4—41no—
1558C4—43no—
1559C4—41no—
1560C4—43no—
1561C4—43no—
1562C4—43no—
1563C4—41no—
1564C4—43no—
1565C4—43no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4C2×#546112yes—
1571C2—42no—
1572C2—46no—
1573C2—42no—
1574C2—83no—
1575C2—83no—
1576C2—83no—
1577C2C22×#54611yescharacteristic
1578C2#6285111yescharacteristic
1579C2#6285211yescharacteristic
1580C2#6292311yescharacteristic
1581C2#6300211yescharacteristic
1582C2#6300611yescharacteristic
1583C2#6305211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3487C2semidirect
2. C2×#3522C2semidirect
3. #59417C2semidirect
4. #59097C2semidirect
5. #59024C2semidirect
6. #52129C2semidirect
7. #45417C2semidirect
8. #45316C2semidirect
9. #45247C2semidirect
10. #44957C2semidirect
11. #44930C2semidirect
12. #44871C2semidirect
13. #39419C2semidirect
14. #38956C2semidirect
15. #38033C2semidirect
16. #37839C2semidirect
17. #37782C2semidirect
18. #37669C2semidirect
19. #36578C2semidirect
20. #36457C2semidirect
21. #36429C2semidirect
22. #36076C2semidirect
23. #36029C2semidirect
24. #36029C2semidirect
25. #36018C2semidirect
26. #35757C2semidirect
27. #35711C2semidirect
28. #34312C2semidirect
29. #34312C2semidirect
30. #34257C2semidirect
31. #34175C2semidirect
36. C2×#559C22semidirect
37. C2×Q82C22semidirect
38. C2×#554C22semidirect
45. C2×#550C22semidirect
51. C2×#548C22semidirect
52. C2×#547C22semidirect
53. C2×#547C22semidirect
54. C2×#542C22semidirect
55. C2×#542C22semidirect
58. C2×#532C22semidirect
59. C2×#529C22semidirect
64. C2×#520C22semidirect
66. C2×#519C22semidirect
67. C22×C4×Q8C22semidirect
68. #2858C22semidirect
69. #2854C22semidirect
71. #2712C22semidirect
72. #2709C22semidirect
76. #2704C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2703C22semidirect
81. #2702C22semidirect
82. #2701C22semidirect
83. #2700C22semidirect
84. #2700C22semidirect
85. #2699C22semidirect
86. #2698C22semidirect
89. #2692C22semidirect
94. #2673C22semidirect
95. #2672C22semidirect
96. #2672C22semidirect
97. #2671C22semidirect
101. #2624C22semidirect
102. #2619C22semidirect
103. #2619C22semidirect
104. #2619C22semidirect
106. #2581C22semidirect
107. #2568C22semidirect
108. #2563C22semidirect
109. #2559C22semidirect
110. #2557C22semidirect
111. #2555C22semidirect
112. #2555C22semidirect
113. #2548C22semidirect
114. #2548C22semidirect
115. #2541C22semidirect
116. #2541C22semidirect
118. #2536C22semidirect
119. #2535C22semidirect
120. #2535C22semidirect
121. #2504C22semidirect
122. #2504C22semidirect
123. #2491C22semidirect
124. #2491C22semidirect
125. #2491C22semidirect
126. #2491C22semidirect
127. #2488C22semidirect
128. #2487C22semidirect
129. #2486C22semidirect
131. #2467C22semidirect
132. #2464C22semidirect
133. #2460C22semidirect
134. #2459C22semidirect
135. #2459C22semidirect
136. #2457C22semidirect
137. #2451C22semidirect
138. #2451C22semidirect
139. #2450C22semidirect
140. #2448C22semidirect
141. #2448C22semidirect
142. #2445C22semidirect
143. #2445C22semidirect
146. #2436C22semidirect
151. #2431C22semidirect
152. #2431C22semidirect
153. #2431C22semidirect
154. #2430C22semidirect
155. #2428C22semidirect
156. #2428C22semidirect
157. #2428C22semidirect
158. #2428C22semidirect
159. #2427C22semidirect
160. #2427C22semidirect
161. #2426C22semidirect
162. #2426C22semidirect
164. #2421C22semidirect
165. #2421C22semidirect
166. #2420C22semidirect
167. #2420C22semidirect
168. #2416C22semidirect
169. #2416C22semidirect
170. #2416C22semidirect
171. #2416C22semidirect
172. #2414C22semidirect
173. #2414C22semidirect
174. #2409C22semidirect
179. #2407C22semidirect
182. #2395C22semidirect
183. #2392C22semidirect
184. #2392C22semidirect
185. #2392C22semidirect
187. #2367C22semidirect
188. #2367C22semidirect
189. #2364C22semidirect
191. #2363C22semidirect
192. #2360C22semidirect
193. #2360C22semidirect
195. #2352C22semidirect
196. #2351C22semidirect
197. #2351C22semidirect
198. #2351C22semidirect
199. #2351C22semidirect
206. #2341C22semidirect
207. #2341C22semidirect
208. #2341C22semidirect
209. #2341C22semidirect
213. Q8×C22⋊C4C22semidirect
214. Q8×C22⋊C4C22semidirect
215. Q8×C22⋊C4C22semidirect
221. #2324C22semidirect
222. #2323C22semidirect
223. #2323C22semidirect
227. #2311C22semidirect
228. C4×#124C22semidirect
229. C4×#124C22semidirect
230. C4×#124C22semidirect
231. C4×#123C22semidirect
234. #2297C22semidirect
236. #2293C22semidirect
239. C42×Q8C22semidirect
276. #548D4semidirect
699. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34872
C2×#35222
#594172
#590972
#590242
#521292
#454172
#453162
#452472
#449572
#449302
#448712
#394192
#389562
#380332
#378392
#377822
#376692
#365782
#364572
#364292
#360762
#360292
#360182
#357572
#357112
#343122
#342572
#341752