Finite Group Databasebeta

← #8157109

Subgroups — #8157109

Order 512.

5312 conjugacy classes of subgroups.

The subgroup lattice has 1651 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59807C212yesmaximal, complemented
2#59305C212yesmaximal, complemented
3#56769C214yesmaximal, complemented
4#55699C214yesmaximal, complemented
5#54727C214yesmaximal, complemented
6#54013C214yesmaximal, complemented
7#53044C212yesmaximal, complemented
8#52959C212yesmaximal, complemented
9#52510C214yesmaximal, complemented
10#45060C212yesmaximal, complemented
11#44869C212yesmaximal, complemented
12#42916C212yesmaximal, complemented
13#42577C212yesmaximal, complemented
14#42550C212yesmaximal, complemented
15#42448C212yesmaximal, complemented
16#40562C214yesmaximal, complemented
17#39487C211yesmaximal, characteristic, complemented
18#39376C211yesmaximal, characteristic, complemented
19#37873C212yesmaximal, complemented
20#37837C212yesmaximal, complemented
21#37768C212yesmaximal, complemented
22#37648C212yesmaximal, complemented
23#37452C212yesmaximal, complemented
24#36722C212yesmaximal, complemented
25#36153C211yesmaximal, characteristic, complemented
26#36100C211yesmaximal, characteristic, complemented
27#35014C211yesmaximal, characteristic, complemented
28C2×#2422C211yesmaximal, characteristic, complemented
29#34575C211yesmaximal, characteristic, complemented
30C2×#552C2212yes—
31C2×#547C2211yescharacteristic, complemented
32C2×#547C2211yescharacteristic, complemented
33C2×#546C2212yes—
34C2×#539C2212yes—
35C2×#537C2212yes—
36C2×#525C2212yes—
37C2×#525C2212yes—
38C22×#123C2212yes—
39C22×#121C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2848C2212yes—
44#2848C2212yes—
45#2847C2212yes—
46#2837C2214yescomplemented
47#2836C2214yescomplemented
48#2836C2214yescomplemented
49#2830C2214yescomplemented
50#2829C2214yescomplemented
51#2828C2214yescomplemented
52#2827C2214yescomplemented
53#2827C2214yescomplemented
54#2826C2214yescomplemented
55#2814C2214yescomplemented
56#2814C2214yescomplemented
57#2813C2214yescomplemented
58#2803C2214yescomplemented
59#2803C2214yescomplemented
60#2790C2214yescomplemented
61#2790C2214yescomplemented
62#2788C2214yescomplemented
63#2786C2214yescomplemented
64#2786C2214yescomplemented
65#2768C2214yescomplemented
66#2753C2214yescomplemented
67#2753C2214yescomplemented
68#2751C2214yescomplemented
69#2747C2214yescomplemented
70#2742C2214yescomplemented
71#2739C2214yescomplemented
72#2732C2214yescomplemented
73#2727C2212yescomplemented
74#2726C2212yescomplemented
75#2726C2212yescomplemented
76#2725C2214yescomplemented
77#2724C2212yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2708C2214yescomplemented
83#2707C2214yescomplemented
84#2707C2214yescomplemented
85#2707C2214yescomplemented
86#2705C2214yescomplemented
87#2705C2214yescomplemented
88#2704C2214yescomplemented
89#2704C2214yescomplemented
90#2701C2214yescomplemented
91#2701C2214yescomplemented
92#2701C2214yescomplemented
93#2695C2214yescomplemented
94#2694C2214yescomplemented
95#2694C2214yescomplemented
96#2691C2214yescomplemented
97#2689C2214yescomplemented
98#2687C2214yescomplemented
99#2682C2214yes—
100#2682C2214yescomplemented
101#2682C2214yescomplemented
102#2682C2214yescomplemented
103#2681C2214yes—
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2675C2214yes—
107#2671C2214yes—
108#2663C2212yescomplemented
109#2663C2212yescomplemented
110#2661C2212yescomplemented
111#2661C2212yescomplemented
112#2661C2214yescomplemented
113#2659C2211yescharacteristic
114#2656C2211yescharacteristic
115#2651C2214yescomplemented
116#2649C2214yescomplemented
117#2646C2212yes—
118#2639C2212yes—
119#2635C2214yescomplemented
120#2630C2214yescomplemented
121#2630C2214yescomplemented
122#2629C2212yescomplemented
123#2627C2212yes—
124#2626C2212yes—
125#2620C2212yes—
126#2618C2212yes—
127#2618C2214yescomplemented
128#2618C2214yescomplemented
129#2617C2211yescharacteristic
130#2617C2211yescharacteristic
131#2617C2212yes—
132#2616C2212yescomplemented
133#2615C2212yes—
134#2589C2214yescomplemented
135#2587C2214yescomplemented
136#2583C2214yescomplemented
137#2579C2214yes—
138#2579C2214yes—
139#2566C2214yescomplemented
140#2562C2212yescomplemented
141#2554C2214yescomplemented
142#2552C2212yescomplemented
143#2549C2214yescomplemented
144#2547C2211yescharacteristic, complemented
145#2542C2211yescharacteristic, complemented
146#2540C2212yes—
147#2539C2214yes—
148#2538C2212yescomplemented
149#2538C2212yescomplemented
150#2537C2212yes—
151#2537C2211yescharacteristic, complemented
152#2537C2211yescharacteristic, complemented
153#2534C2214yes—
154#2516C2214yescomplemented
155#2507C2214yescomplemented
156#2506C2212yescomplemented
157#2505C2214yescomplemented
158#2502C2212yescomplemented
159#2502C2212yescomplemented
160#2498C2214yes—
161#2498C2214yescomplemented
162#2497C2212yescomplemented
163#2497C2212yescomplemented
164#2497C2212yescomplemented
165#2496C2212yescomplemented
166#2492C2212yescomplemented
167#2490C2214yescomplemented
168#2490C2212yescomplemented
169#2486C2212yes—
170#2486C2212yescomplemented
171#2486C2212yescomplemented
172#2485C2212yescomplemented
173#2479C2214yescomplemented
174#2473C2214yescomplemented
175#2464C2214yescomplemented
176#2456C2214yescomplemented
177#2455C2214yescomplemented
178#2454C2212yescomplemented
179#2454C2214yescomplemented
180#2453C2212yescomplemented
181#2448C2212yescomplemented
182#2442C2214yes—
183#2441C2212yescomplemented
184#2440C2212yescomplemented
185#2438C2214yes—
186#2437C2214yes—
187#2430C2214yescomplemented
188#2429C2212yescomplemented
189#2429C2212yescomplemented
190#2427C2212yescomplemented
191#2426C2212yescomplemented
192#2425C2214yes—
193#2425C2214yescomplemented
194#2424C2214yes—
195#2423C2212yescomplemented
196#2422C2212yes—
197#2422C2212yes—
198#2422C2212yes—
199#2422C2212yes—
200#2422C2214yes—
201#2422C2214yes—
202#2422C2212yescomplemented
203#2419C2214yes—
204#2418C2214yes—
205#2417C2212yes—
206#2417C2212yes—
207#2417C2212yescomplemented
208#2416C2212yes—
209#2416C2212yescomplemented
210#2415C2212yescomplemented
211#2415C2212yescomplemented
212#2414C2212yescomplemented
213#2412C2214yes—
214#2412C2214yes—
215#2411C2214yes—
216#2411C2214yes—
217#2410C2214yes—
218#2408C2212yes—
219#2408C2214yes—
220#2407C2212yes—
221#2407C2212yescomplemented
222#2407C2214yescomplemented
223#2407C2212yescomplemented
224#2395C2212yescomplemented
225#2395C2212yescomplemented
226C2×#397C2212yes—
227#2388C2212yescomplemented
228#2388C2212yescomplemented
229C2×#394C2212yes—
230#2363C2212yescomplemented
231#2361C2214yes—
232#2361C2212yescomplemented
233#2355C2212yescomplemented
234#2354C2211yescharacteristic, complemented
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2211yescharacteristic, complemented
238D4×C4⋊C4C2212yescomplemented
239#2342C2214yes—
240#2341C2212yescomplemented
241#2339C2212yescomplemented
242#2329C2212yes—
243#2324C2212yes—
244#2323C2212yescomplemented
245#2316C2212yes—
246#2312C2212yes—
247#2311C2212yescomplemented
248C4×C22⋊Q8C2212yes—
249C4×#121C2211yescharacteristic
250C4×#121C2211yescharacteristic
251C4×#121C2212yes—
252C2×#390C2211yescharacteristic
253C2×#389C2211yescharacteristic
254C2×#385C2212yes—
255C2×#384C2211yescharacteristic
256C2×#380C2212yes—
257C2×#380C2211yescharacteristic
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C24×C4C2311yescharacteristic
265C24×C4C2312yes—
266#552—48no—
267#547—44no—
268#547—44no—
269#546—48no—
270#539—48no—
271#537—48no—
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×#126C2314yes—
275C2×#126C2314yes—
276C2×#125C2312yes—
277C2×#125C2314yes—
278C2×#125C2314yes—
279C2×#125C2314yes—
280C2×#124C2312yes—
281#525—48no—
282#525—48no—
283C2×#123—48no—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2312yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×#121—44no—
312C2×#121C2312yes—
313C2×#121C2311yescharacteristic
314C2×#121C2312yes—
315C2×#121C2311yescharacteristic
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#120C2314yes—
333C2×#120C2312yes—
334C2×#120C2312yes—
335C2×#120C2314yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4—44no—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2314yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2312yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#392C2314yes—
504#392C2312yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#384C2314yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2312yes—
660#384C2312yes—
661#384C2312yes—
662#382C2314yes—
663#381C2314yes—
664#381C2314yes—
665#381C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2311yescharacteristic
675#380C2314yes—
676#380C2312yes—
677#380C2314yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2314yes—
691#380C2312yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#379C2314yes—
698#379C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C2×#95C2311yescharacteristic
719C2×#95C2314yes—
720C2×#95C2311yescharacteristic
721C2×#95C2312yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2411yescharacteristic
725C2×#41—28no—
726C2×#41—44no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—82no—
734C22×Q8C2412yes—
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×D4—24no—
738C22×D4—24no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—82no—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2411yescharacteristic
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2411yescharacteristic
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C23×C4—28no—
763C23×C4—24no—
764C23×C4—42no—
765C23×C4—42no—
766C23×C4—44no—
767C23×C4—82no—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2412yes—
778C23×C4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C4⋊Q8—42no—
790C4⋊Q8—42no—
791#126—48no—
792#126—48no—
793#125—44no—
794#125—48no—
795#125—48no—
796#125—84no—
797#124—44no—
798#123—48no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—48no—
803#123—44no—
804#123—44no—
805#123—48no—
806#123—48no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—48no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—44no—
814C22⋊Q8—48no—
815C22⋊Q8—44no—
816C22⋊Q8—48no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—82no—
825#121—28no—
826#121—28no—
827#121—24no—
828#121—24no—
829#121—28no—
830#121—44no—
831#121—48no—
832#121—48no—
833#121—48no—
834#121—48no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—48no—
841#121—44no—
842#121—82no—
843#121—84no—
844#121—84no—
845#120—44no—
846#120—44no—
847#120—48no—
848#120—48no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×D4—24no—
852C4×D4—24no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—42no—
856C4×D4—42no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—42no—
862C4×D4—42no—
863C4×D4—48no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—84no—
869#117—44no—
870#117—48no—
871#117—44no—
872#117—44no—
873C2×C4⋊C4—28no—
874C2×C4⋊C4—24no—
875C2×C4⋊C4—42no—
876C2×C4⋊C4—42no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—44no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—44no—
881C2×C4⋊C4—82no—
882C2×C4⋊C4—82no—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C22⋊C4—24no—
944C2×C22⋊C4—28no—
945C2×C22⋊C4—24no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—48no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C42—42no—
1016C2×C42—42no—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077C24—22no—
1078C24—24no—
1079C24—24no—
1080C24—24no—
1081C24—24no—
1082C24—22no—
1083C24—22no—
1084C24—41no—
1085C24—41no—
1086C24—42no—
1087C24—42no—
1088C24—41no—
1089C24—42no—
1090C24—41no—
1091C24C2512yes—
1092C24C2512yes—
1093C24C2512yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2511yescharacteristic
1097#41—816no—
1098#41—816no—
1099#41—816no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—24no—
1103C2×Q8—24no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—42no—
1107C2×Q8—42no—
1108C2×Q8—42no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—24no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—416no—
1129C2×D4—42no—
1130C2×D4—41no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—44no—
1137C2×D4—41no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—41no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—816no—
1167C2×D4H(5,𝔽2)14yes—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—42no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—88no—
1229C22×C4—816no—
1230C22×C4H(5,𝔽2)14yes—
1231C22×C4H(5,𝔽2)14yes—
1232C22×C42−1+414yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2514yes—
1249C22×C4C2514yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—22no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—41no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—41no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—41no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C42—22no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—42no—
1386C42—41no—
1387C42—41no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—48no—
1433C23—48no—
1434C23—48no—
1435C23—44no—
1436C23—44no—
1437C23—48no—
1438C23—44no—
1439C23—82no—
1440C23—84no—
1441C23—82no—
1442C23—84no—
1443C23—82no—
1444C23—82no—
1445C23—84no—
1446C23C2×H(5,𝔽2)14yes—
1447C23C2×H(5,𝔽2)12yes—
1448C23C2×H(5,𝔽2)12yes—
1449C23C2×2−1+412yes—
1450C23C2611yescharacteristic
1451Q8—48no—
1452Q8—84no—
1453Q8—84no—
1454D4—28no—
1455D4—48no—
1456D4—48no—
1457D4—44no—
1458D4—48no—
1459D4—48no—
1460D4—44no—
1461D4—82no—
1462D4—88no—
1463D4—88no—
1464D4—88no—
1465D4—84no—
1466D4—84no—
1467D4—88no—
1468D4—88no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472D4—164no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—28no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—48no—
1544C2×C4—48no—
1545C2×C4—84no—
1546C2×C4—84no—
1547C2×C4—84no—
1548C2×C4—82no—
1549C2×C4—82no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—164no—
1555C2×C4—164no—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C2×C4C2×H(5,𝔽2)12yes—
1560C2×C4C2×H(5,𝔽2)12yes—
1561C2×C4C2×2−1+414yes—
1562C2×C4#58512yes—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—24no—
1570C22—24no—
1571C22—24no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—816no—
1605C22—88no—
1606C22#354814yes—
1607C22C22×H(5,𝔽2)11yescharacteristic
1608C22C22×H(5,𝔽2)11yescharacteristic
1609C22C22×H(5,𝔽2)11yescharacteristic
1610C22C22×2−1+411yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22H(7,𝔽2)11yescharacteristic
1613C222−1+611yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—24no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4—44no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—44no—
1632C4—41no—
1633C4—41no—
1634C4—42no—
1635C4—44no—
1636C4#353414yes—
1637C2—24no—
1638C2—44no—
1639C2—82no—
1640C2—82no—
1641C2—82no—
1642C2—82no—
1643C2C2×#353411yescharacteristic
1644C2C2×#354811yescharacteristic
1645C2#6287811yescharacteristic
1646C2#6289211yescharacteristic
1647C2#6290211yescharacteristic
1648C2#6291511yescharacteristic
1649C2#6292511yescharacteristic
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. #59807C2semidirect
2. #59305C2semidirect
3. #56769C2semidirect
4. #55699C2semidirect
5. #54727C2semidirect
6. #54013C2semidirect
7. #53044C2semidirect
8. #52959C2semidirect
9. #52510C2semidirect
10. #45060C2semidirect
11. #44869C2semidirect
12. #42916C2semidirect
13. #42577C2semidirect
14. #42550C2semidirect
15. #42448C2semidirect
16. #40562C2semidirect
17. #39487C2semidirect
18. #39376C2semidirect
19. #37873C2semidirect
20. #37837C2semidirect
21. #37768C2semidirect
22. #37648C2semidirect
23. #37452C2semidirect
24. #36722C2semidirect
25. #36153C2semidirect
26. #36100C2semidirect
27. #35014C2semidirect
28. C2×#2422C2semidirect
29. #34575C2semidirect
31. C2×#547C22semidirect
32. C2×#547C22semidirect
46. #2837C22semidirect
47. #2836C22semidirect
48. #2836C22semidirect
49. #2830C22semidirect
50. #2829C22semidirect
51. #2828C22semidirect
52. #2827C22semidirect
53. #2827C22semidirect
54. #2826C22semidirect
55. #2814C22semidirect
56. #2814C22semidirect
57. #2813C22semidirect
58. #2803C22semidirect
59. #2803C22semidirect
60. #2790C22semidirect
61. #2790C22semidirect
62. #2788C22semidirect
63. #2786C22semidirect
64. #2786C22semidirect
65. #2768C22semidirect
66. #2753C22semidirect
67. #2753C22semidirect
68. #2751C22semidirect
69. #2747C22semidirect
70. #2742C22semidirect
71. #2739C22semidirect
72. #2732C22semidirect
73. #2727C22semidirect
74. #2726C22semidirect
75. #2726C22semidirect
76. #2725C22semidirect
77. #2724C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
82. #2708C22semidirect
83. #2707C22semidirect
84. #2707C22semidirect
85. #2707C22semidirect
86. #2705C22semidirect
87. #2705C22semidirect
88. #2704C22semidirect
89. #2704C22semidirect
90. #2701C22semidirect
91. #2701C22semidirect
92. #2701C22semidirect
93. #2695C22semidirect
94. #2694C22semidirect
95. #2694C22semidirect
96. #2691C22semidirect
97. #2689C22semidirect
98. #2687C22semidirect
100. #2682C22semidirect
101. #2682C22semidirect
102. #2682C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
108. #2663C22semidirect
109. #2663C22semidirect
110. #2661C22semidirect
111. #2661C22semidirect
112. #2661C22semidirect
115. #2651C22semidirect
116. #2649C22semidirect
119. #2635C22semidirect
120. #2630C22semidirect
121. #2630C22semidirect
122. #2629C22semidirect
127. #2618C22semidirect
128. #2618C22semidirect
132. #2616C22semidirect
134. #2589C22semidirect
135. #2587C22semidirect
136. #2583C22semidirect
139. #2566C22semidirect
140. #2562C22semidirect
141. #2554C22semidirect
142. #2552C22semidirect
143. #2549C22semidirect
144. #2547C22semidirect
145. #2542C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
154. #2516C22semidirect
155. #2507C22semidirect
156. #2506C22semidirect
157. #2505C22semidirect
158. #2502C22semidirect
159. #2502C22semidirect
161. #2498C22semidirect
162. #2497C22semidirect
163. #2497C22semidirect
164. #2497C22semidirect
165. #2496C22semidirect
166. #2492C22semidirect
167. #2490C22semidirect
168. #2490C22semidirect
170. #2486C22semidirect
171. #2486C22semidirect
172. #2485C22semidirect
173. #2479C22semidirect
174. #2473C22semidirect
175. #2464C22semidirect
176. #2456C22semidirect
177. #2455C22semidirect
178. #2454C22semidirect
179. #2454C22semidirect
180. #2453C22semidirect
181. #2448C22semidirect
183. #2441C22semidirect
184. #2440C22semidirect
187. #2430C22semidirect
188. #2429C22semidirect
189. #2429C22semidirect
190. #2427C22semidirect
191. #2426C22semidirect
193. #2425C22semidirect
195. #2423C22semidirect
202. #2422C22semidirect
207. #2417C22semidirect
209. #2416C22semidirect
210. #2415C22semidirect
211. #2415C22semidirect
212. #2414C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2395C22semidirect
225. #2395C22semidirect
227. #2388C22semidirect
228. #2388C22semidirect
230. #2363C22semidirect
232. #2361C22semidirect
233. #2355C22semidirect
234. #2354C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
240. #2341C22semidirect
241. #2339C22semidirect
244. #2323C22semidirect
247. #2311C22semidirect

Maximal subgroups

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

subgroupindex
#598072
#593052
#567692
#556992
#547272
#540132
#530442
#529592
#525102
#450602
#448692
#429162
#425772
#425502
#424482
#405622
#394872
#393762
#378732
#378372
#377682
#376482
#374522
#367222
#361532
#361002
#350142
C2×#24222
#345752