Finite Group Databasebeta

← #7710030

Subgroups — #7710030

Order 512.

4930 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59876C212yesmaximal, complemented
2#59824C212yesmaximal, complemented
3#59645C212yesmaximal, complemented
4#59584C212yesmaximal, complemented
5#46247C212yesmaximal, complemented
6#46246C212yesmaximal, complemented
7#46159C212yesmaximal, complemented
8#46017C212yesmaximal, complemented
9#39843C214yesmaximal, complemented
10#39774C214yesmaximal, complemented
11#39555C212yesmaximal, complemented
12#39554C212yesmaximal, complemented
13#39502C212yesmaximal, complemented
14#39485C212yesmaximal, complemented
15#39189C212yesmaximal, complemented
16#38974C212yesmaximal, complemented
17#38126C214yesmaximal, complemented
18#37546C211yesmaximal, characteristic, complemented
19#37546C211yesmaximal, characteristic, complemented
20#36760C212yesmaximal, complemented
21#36759C212yesmaximal, complemented
22#36640C211yesmaximal, characteristic, complemented
23#36631C211yesmaximal, characteristic, complemented
24#36440C212yesmaximal, complemented
25#36331C214yesmaximal, complemented
26#36232C212yesmaximal, complemented
27#35043C212yesmaximal, complemented
28#34996C212yesmaximal, complemented
29#34382C211yesmaximal, characteristic, complemented
30#34382C211yesmaximal, characteristic, complemented
31C2×C4×#124C211yesmaximal, characteristic, complemented
32C2×#553C2212yes—
33C2×#552C2212yescomplemented
34C2×#529C2211yescharacteristic
35C2×#529C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×C4×Q8C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2864C2212yescomplemented
40#2864C2212yescomplemented
41#2861C2211yescharacteristic, complemented
42#2861C2211yescharacteristic, complemented
43#2860C2212yescomplemented
44#2860C2212yescomplemented
45#2859C2211yescharacteristic, complemented
46#2859C2211yescharacteristic, complemented
47#2859C2211yescharacteristic, complemented
48#2859C2211yescharacteristic, complemented
49#2859C2211yescharacteristic, complemented
50#2858C2211yescharacteristic, complemented
51#2857C2211yescharacteristic
52#2856C2211yescharacteristic
53#2854C2212yes—
54#2854C2212yes—
55#2852C2214yes—
56#2851C2212yes—
57#2851C2212yes—
58#2851C2212yes—
59#2851C2212yes—
60#2850C2211yescharacteristic
61#2850C2211yescharacteristic
62#2849C2214yes—
63#2820C2212yes—
64#2820C2212yes—
65#2819C2212yes—
66#2819C2212yes—
67#2803C2214yes—
68#2803C2214yescomplemented
69#2803C2214yescomplemented
70#2801C2214yescomplemented
71#2800C2214yes—
72#2800C2214yescomplemented
73#2798C2214yescomplemented
74#2797C2214yes—
75#2797C2214yescomplemented
76#2793C2214yescomplemented
77#2783C2214yescomplemented
78#2783C2214yescomplemented
79#2779C2214yescomplemented
80#2775C2214yescomplemented
81#2774C2214yescomplemented
82#2772C2214yescomplemented
83#2757C2214yescomplemented
84#2754C2214yescomplemented
85#2753C2214yescomplemented
86#2752C2214yescomplemented
87#2751C2214yescomplemented
88#2745C2214yescomplemented
89#2725C2214yescomplemented
90#2725C2214yescomplemented
91#2725C2214yescomplemented
92#2721C2214yescomplemented
93#2716C2214yescomplemented
94#2714C2214yes—
95#2711C2214yescomplemented
96#2701C2214yescomplemented
97#2701C2214yescomplemented
98#2673C2214yescomplemented
99#2662C2214yes—
100#2662C2214yes—
101#2643C2214yes—
102#2626C2212yes—
103#2626C2212yes—
104#2622C2214yes—
105#2620C2212yes—
106#2620C2212yes—
107#2620C2212yes—
108#2620C2212yes—
109#2617C2212yes—
110#2617C2212yes—
111#2608C2214yescomplemented
112#2604C2214yescomplemented
113#2602C2214yes—
114#2602C2214yescomplemented
115#2600C2214yes—
116#2599C2214yescomplemented
117#2597C2214yescomplemented
118#2597C2214yescomplemented
119#2595C2214yescomplemented
120#2594C2214yescomplemented
121#2593C2214yescomplemented
122#2592C2212yes—
123#2592C2212yes—
124#2587C2214yescomplemented
125#2576C2214yescomplemented
126#2575C2214yescomplemented
127#2573C2214yescomplemented
128#2566C2212yes—
129#2565C2212yescomplemented
130#2559C2214yescomplemented
131#2558C2214yescomplemented
132#2557C2214yescomplemented
133#2554C2214yescomplemented
134#2554C2214yescomplemented
135#2540C2212yes—
136#2540C2212yes—
137#2536C2212yescomplemented
138#2535C2212yes—
139#2527C2214yescomplemented
140#2526C2214yescomplemented
141#2526C2214yescomplemented
142#2525C2214yescomplemented
143#2523C2214yescomplemented
144#2518C2214yescomplemented
145#2518C2214yescomplemented
146#2518C2214yescomplemented
147#2517C2214yescomplemented
148#2516C2214yescomplemented
149#2514C2212yescomplemented
150#2513C2212yes—
151#2513C2214yescomplemented
152#2512C2212yes—
153#2511C2212yescomplemented
154#2505C2214yes—
155#2504C2212yes—
156#2503C2212yescomplemented
157#2500C2212yes—
158#2499C2212yescomplemented
159#2490C2212yes—
160#2490C2212yes—
161#2490C2214yescomplemented
162#2489C2212yescomplemented
163#2489C2212yescomplemented
164#2480C2214yes—
165#2480C2214yes—
166#2473C2214yes—
167#2471C2214yescomplemented
168#2470C2214yescomplemented
169#2470C2214yescomplemented
170#2467C2214yescomplemented
171#2466C2214yes—
172#2466C2214yescomplemented
173#2466C2214yescomplemented
174#2462C2214yescomplemented
175#2460C2214yescomplemented
176#2459C2214yescomplemented
177#2458C2214yescomplemented
178#2456C2214yes—
179#2444C2214yes—
180#2443C2214yes—
181#2424C2214yes—
182#2424C2214yes—
183#2423C2212yescomplemented
184#2422C2212yes—
185#2421C2212yescomplemented
186#2420C2212yes—
187#2417C2212yescomplemented
188#2416C2212yes—
189#2415C2212yescomplemented
190#2414C2212yes—
191#2411C2214yes—
192#2411C2214yes—
193#2409C2212yes—
194#2409C2212yes—
195#2408C2212yes—
196#2408C2212yes—
197#2382C2212yescomplemented
198#2382C2212yescomplemented
199#2379C2212yescomplemented
200#2379C2212yescomplemented
201#2374C2214yescomplemented
202#2373C2214yescomplemented
203#2363C2212yes—
204#2363C2214yescomplemented
205#2362C2212yescomplemented
206#2361C2212yes—
207#2360C2212yescomplemented
208#2359C2214yes—
209#2359C2214yes—
210#2357C2212yes—
211#2357C2214yescomplemented
212#2356C2212yescomplemented
213#2355C2212yescomplemented
214#2355C2212yescomplemented
215#2352C2212yes—
216#2352C2212yes—
217#2352C2212yescomplemented
218#2352C2212yescomplemented
219D4×C4⋊C4C2212yes—
220D4×C4⋊C4C2212yes—
221#2334C2214yescomplemented
222#2334C2214yescomplemented
223#2329C2212yes—
224#2329C2212yes—
225#2325C2212yes—
226#2325C2212yes—
227#2321C2214yes—
228#2318C2214yes—
229#2317C2212yescomplemented
230#2317C2212yescomplemented
231#2314C2212yescomplemented
232#2314C2212yescomplemented
233C4×C4⋊Q8C2211yescharacteristic, complemented
234C4×#127C2211yescharacteristic, complemented
235C4×#125C2212yescomplemented
236C4×#125C2212yescomplemented
237C4×#125C2212yescomplemented
238C4×#125C2212yescomplemented
239C4×#124C2212yes—
240C4×#124C2212yes—
241C4×#124C2212yes—
242C4×#124C2212yes—
243C4×#124C2212yes—
244C4×#124C2212yes—
245C4×#124C2212yes—
246C4×#124C2212yes—
247C4×#124C2211yescharacteristic, complemented
248C4×#124C2211yescharacteristic, complemented
249C4×#121C2212yes—
250C4×#121C2212yes—
251C4×#120C2214yes—
252#2296C2212yes—
253#2296C2212yes—
254C2×#391C2211yescharacteristic
255#2293C2212yescomplemented
256#2293C2212yescomplemented
257C2×#390C2211yescharacteristic
258#2290C2214yes—
259C2×#388C2212yes—
260C2×#388C2212yes—
261#2285C2211yescharacteristic
262#2285C2211yescharacteristic
263C2×#382C2211yescharacteristic
264C2×C4×C22⋊C4C2212yes—
265C2×C4×C22⋊C4C2212yes—
266C2×C43C2211yescharacteristic
267C23×Q8C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C24×C4C2312yes—
270#553—48no—
271#552—48no—
272C2×C4⋊Q8C2311yescharacteristic
273C2×#127C2311yescharacteristic
274#529—28no—
275#529—28no—
276C2×#126C2312yes—
277C2×#126C2312yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#125C2312yes—
282C2×#125C2311yescharacteristic
283C2×#125C2311yescharacteristic
284C2×#125C2312yes—
285C2×#125C2312yes—
286C2×#125C2312yes—
287C2×#125C2314yes—
288C2×#124—28no—
289C2×#124C2312yes—
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2311yescharacteristic
296C2×#124C2311yescharacteristic
297C2×#123C2312yes—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×#121C2311yescharacteristic
309C2×#121C2311yescharacteristic
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#120C2314yes—
319C2×#120C2314yes—
320C2×C4×Q8—44no—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×D4—44no—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2314yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2314yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2312yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367#401C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#399C2314yes—
377#399C2314yes—
378#399C2314yes—
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#397C2314yes—
402#396C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#395C2314yes—
416#395C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
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#394C2314yes—
436#394C2314yes—
437#393C2314yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#392C2314yes—
442#392C2314yes—
443#392C2314yes—
444#392C2314yes—
445#392C2314yes—
446#392C2314yes—
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#391C2312yes—
450#391C2312yes—
451#391C2314yes—
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2312yes—
467#390C2314yes—
468#390C2314yes—
469#390C2312yes—
470#390C2312yes—
471#390C2314yes—
472#390C2314yes—
473#390C2314yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2314yes—
481#390C2312yes—
482#390C2312yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
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#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
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#384C2311yescharacteristic
650#384C2311yescharacteristic
651#384C2312yes—
652#384C2312yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#383C2314yes—
658#383C2314yes—
659#382C2312yes—
660#382C2312yes—
661#382C2312yes—
662#382C2312yes—
663#382C2312yes—
664#382C2312yes—
665#382C2312yes—
666#382C2312yes—
667#382C2312yes—
668#382C2314yes—
669#382C2311yescharacteristic
670#382C2312yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2314yes—
674#382C2312yes—
675#381C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#379C2314yes—
691#379C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728#376C2314yes—
729C2×#95C2312yes—
730C2×#95C2312yes—
731C2×#95C2312yes—
732C2×#95C2312yes—
733C43C2311yescharacteristic
734C43C2311yescharacteristic
735C43C2311yescharacteristic
736C43C2311yescharacteristic
737C43C2311yescharacteristic
738C43C2311yescharacteristic
739C43C2311yescharacteristic
740C43C2311yescharacteristic
741C25C2412yes—
742C22×Q8—24no—
743C22×Q8—42no—
744C22×Q8—42no—
745C22×Q8C2412yes—
746C22×Q8C2412yes—
747C22×Q8C2411yescharacteristic
748C22×Q8C2411yescharacteristic
749C22×D4—24no—
750C22×D4—42no—
751C22×D4—42no—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2411yescharacteristic
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C23×C4—44no—
765C23×C4—44no—
766C23×C4—44no—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2411yescharacteristic
777C23×C4C2412yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2411yescharacteristic
783C4⋊Q8—42no—
784#127—42no—
785#126—28no—
786#126—28no—
787#126—48no—
788#126—48no—
789#126—48no—
790#125—24no—
791#125—24no—
792#125—28no—
793#125—44no—
794#125—44no—
795#125—44no—
796#125—48no—
797#124—28no—
798#124—28no—
799#124—28no—
800#124—28no—
801#124—24no—
802#124—24no—
803#124—42no—
804#124—42no—
805#123—28no—
806#123—28no—
807#123—48no—
808#123—48no—
809#123—48no—
810C22⋊Q8—24no—
811C22⋊Q8—24no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816#121—24no—
817#121—24no—
818#121—48no—
819#121—48no—
820#121—44no—
821#121—44no—
822#121—44no—
823#121—44no—
824#121—44no—
825#121—44no—
826#120—48no—
827#120—48no—
828C4×Q8—24no—
829C4×Q8—24no—
830C4×Q8—28no—
831C4×Q8—44no—
832C4×Q8—44no—
833C4×Q8—44no—
834C4×D4—28no—
835C4×D4—28no—
836C4×D4—24no—
837C4×D4—24no—
838C4×D4—28no—
839C4×D4—28no—
840C4×D4—44no—
841C4×D4—44no—
842C4×D4—44no—
843C4×D4—44no—
844C4×D4—48no—
845C4×D4—48no—
846C4×D4—48no—
847C4×D4—48no—
848#117—28no—
849#117—28no—
850#117—48no—
851#117—44no—
852#117—44no—
853#117—44no—
854#117—44no—
855C2×C4⋊C4—42no—
856C2×C4⋊C4—42no—
857C2×C4⋊C4—44no—
858C2×C4⋊C4—44no—
859C2×C4⋊C4—44no—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C22⋊C4—28no—
915C2×C22⋊C4—28no—
916C2×C22⋊C4—44no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4—44no—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C42—24no—
976C2×C42—44no—
977C2×C42—42no—
978C2×C42—42no—
979C2×C42—42no—
980C2×C42—42no—
981C2×C42—42no—
982C2×C42#4118yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2414yes—
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075C24—24no—
1076C24—24no—
1077C24—24no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24C2514yes—
1083C24C2512yes—
1084C24C2512yes—
1085C24C2511yescharacteristic
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—22no—
1089C2×Q8—22no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—42no—
1093C2×Q8—42no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—416no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—24no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—416no—
1116C2×D4—44no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—24no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—22no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—42no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—42no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—816no—
1182C22×C4C2×#4114yes—
1183C22×C4C2×#4114yes—
1184C22×C4C2×#4114yes—
1185C22×C4C2514yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2514yes—
1194C22×C4C2514yes—
1195C22×C4C2514yes—
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—28no—
1283C22⋊C4—24no—
1284C22⋊C4—24no—
1285C22⋊C4—28no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C42—24no—
1323C42—24no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—28no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42C2×#4114yes—
1358C42C2×#4114yes—
1359C42C2×#4114yes—
1360C42C2×#4114yes—
1361C42H(5,𝔽2)14yes—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—22no—
1367C23—22no—
1368C23—24no—
1369C23—22no—
1370C23—22no—
1371C23—24no—
1372C23—22no—
1373C23—24no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—24no—
1381C23—24no—
1382C23—22no—
1383C23—24no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—48no—
1388C23—48no—
1389C23—48no—
1390C23—84no—
1391C23—84no—
1392C23—84no—
1393C23—84no—
1394C23C22×#4112yes—
1395C23#58512yes—
1396C23#58512yes—
1397C23C2611yescharacteristic
1398Q8—48no—
1399Q8—48no—
1400Q8—82no—
1401Q8—82no—
1402D4—48no—
1403D4—48no—
1404D4—48no—
1405D4—48no—
1406D4—84no—
1407D4—82no—
1408D4—82no—
1409D4—84no—
1410D4—88no—
1411D4—88no—
1412D4—164no—
1413D4—164no—
1414C2×C4—28no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—28no—
1434C2×C4—28no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—48no—
1493C2×C4—88no—
1494C2×C4—88no—
1495C2×C4—84no—
1496C2×C4—84no—
1497C2×C4—88no—
1498C2×C4—164no—
1499C2×C4C22×#4112yes—
1500C2×C4C22×#4112yes—
1501C2×C4C22×#4112yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C2×H(5,𝔽2)12yes—
1506C2×C4C2×H(5,𝔽2)12yes—
1507C2×C4C2×H(5,𝔽2)12yes—
1508C2×C4#58512yes—
1509C2×C4#58512yes—
1510C2×C4#58512yes—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—42no—
1518C22—44no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—44no—
1526C22—42no—
1527C22—42no—
1528C22—44no—
1529C22—42no—
1530C22—42no—
1531C22—44no—
1532C22—44no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—44no—
1538C22—816no—
1539C22#351214yes—
1540C22C23×#4111yescharacteristic
1541C22C22×H(5,𝔽2)11yescharacteristic
1542C22C2×#58511yescharacteristic
1543C22C2×#58511yescharacteristic
1544C22C2×#58511yescharacteristic
1545C22C2×#58511yescharacteristic
1546C22C2×#58511yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—22no—
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—41no—
1557C4—41no—
1558C4—44no—
1559C4—41no—
1560C4—44no—
1561C4—44no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—44no—
1570C4—44no—
1571C4—41no—
1572C4—44no—
1573C4#350614yes—
1574C2—24no—
1575C2—82no—
1576C2—82no—
1577C2—84no—
1578C2#6274311yescharacteristic
1579C2#6274811yescharacteristic
1580C2C2×#350611yescharacteristic
1581C2C2×#351211yescharacteristic
1582C2#6281511yescharacteristic
1583C2#6282411yescharacteristic
1584C2#6282811yescharacteristic
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. #59876C2semidirect
2. #59824C2semidirect
3. #59645C2semidirect
4. #59584C2semidirect
5. #46247C2semidirect
6. #46246C2semidirect
7. #46159C2semidirect
8. #46017C2semidirect
9. #39843C2semidirect
10. #39774C2semidirect
11. #39555C2semidirect
12. #39554C2semidirect
13. #39502C2semidirect
14. #39485C2semidirect
15. #39189C2semidirect
16. #38974C2semidirect
17. #38126C2semidirect
18. #37546C2semidirect
19. #37546C2semidirect
20. #36760C2semidirect
21. #36759C2semidirect
22. #36640C2semidirect
23. #36631C2semidirect
24. #36440C2semidirect
25. #36331C2semidirect
26. #36232C2semidirect
27. #35043C2semidirect
28. #34996C2semidirect
29. #34382C2semidirect
30. #34382C2semidirect
31. C2×C4×#124C2semidirect
33. C2×#552C22semidirect
39. #2864C22semidirect
40. #2864C22semidirect
41. #2861C22semidirect
42. #2861C22semidirect
43. #2860C22semidirect
44. #2860C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
47. #2859C22semidirect
48. #2859C22semidirect
49. #2859C22semidirect
50. #2858C22semidirect
68. #2803C22semidirect
69. #2803C22semidirect
70. #2801C22semidirect
72. #2800C22semidirect
73. #2798C22semidirect
75. #2797C22semidirect
76. #2793C22semidirect
77. #2783C22semidirect
78. #2783C22semidirect
79. #2779C22semidirect
80. #2775C22semidirect
81. #2774C22semidirect
82. #2772C22semidirect
83. #2757C22semidirect
84. #2754C22semidirect
85. #2753C22semidirect
86. #2752C22semidirect
87. #2751C22semidirect
88. #2745C22semidirect
89. #2725C22semidirect
90. #2725C22semidirect
91. #2725C22semidirect
92. #2721C22semidirect
93. #2716C22semidirect
95. #2711C22semidirect
96. #2701C22semidirect
97. #2701C22semidirect
98. #2673C22semidirect
111. #2608C22semidirect
112. #2604C22semidirect
114. #2602C22semidirect
116. #2599C22semidirect
117. #2597C22semidirect
118. #2597C22semidirect
119. #2595C22semidirect
120. #2594C22semidirect
121. #2593C22semidirect
124. #2587C22semidirect
125. #2576C22semidirect
126. #2575C22semidirect
127. #2573C22semidirect
129. #2565C22semidirect
130. #2559C22semidirect
131. #2558C22semidirect
132. #2557C22semidirect
133. #2554C22semidirect
134. #2554C22semidirect
137. #2536C22semidirect
139. #2527C22semidirect
140. #2526C22semidirect
141. #2526C22semidirect
142. #2525C22semidirect
143. #2523C22semidirect
144. #2518C22semidirect
145. #2518C22semidirect
146. #2518C22semidirect
147. #2517C22semidirect
148. #2516C22semidirect
149. #2514C22semidirect
151. #2513C22semidirect
153. #2511C22semidirect
156. #2503C22semidirect
158. #2499C22semidirect
161. #2490C22semidirect
162. #2489C22semidirect
163. #2489C22semidirect
167. #2471C22semidirect
168. #2470C22semidirect
169. #2470C22semidirect
170. #2467C22semidirect
172. #2466C22semidirect
173. #2466C22semidirect
174. #2462C22semidirect
175. #2460C22semidirect
176. #2459C22semidirect
177. #2458C22semidirect
183. #2423C22semidirect
185. #2421C22semidirect
187. #2417C22semidirect
189. #2415C22semidirect
197. #2382C22semidirect
198. #2382C22semidirect
199. #2379C22semidirect
200. #2379C22semidirect
201. #2374C22semidirect
202. #2373C22semidirect
204. #2363C22semidirect
205. #2362C22semidirect
207. #2360C22semidirect
211. #2357C22semidirect
212. #2356C22semidirect
213. #2355C22semidirect
214. #2355C22semidirect
217. #2352C22semidirect
218. #2352C22semidirect
221. #2334C22semidirect
222. #2334C22semidirect
229. #2317C22semidirect
230. #2317C22semidirect
231. #2314C22semidirect
232. #2314C22semidirect
233. C4×C4⋊Q8C22semidirect
234. C4×#127C22semidirect
235. C4×#125C22semidirect
236. C4×#125C22semidirect
237. C4×#125C22semidirect
238. C4×#125C22semidirect
247. C4×#124C22semidirect
248. C4×#124C22semidirect
255. #2293C22semidirect
256. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#598762
#598242
#596452
#595842
#462472
#462462
#461592
#460172
#398432
#397742
#395552
#395542
#395022
#394852
#391892
#389742
#381262
#375462
#367602
#367592
#366402
#366312
#364402
#363312
#362322
#350432
#349962
#343822
C2×C4×#1242