Finite Group Databasebeta

← #8424630

Subgroups — #8424630

Order 512.

4688 conjugacy classes of subgroups.

The subgroup lattice has 1667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59459C211yesmaximal, characteristic, complemented
2#59318C212yesmaximal, complemented
3#59313C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#59031C212yesmaximal, complemented
6#58429C214yesmaximal, complemented
7#57721C214yesmaximal, complemented
8#53133C212yesmaximal, complemented
9#53038C212yesmaximal, complemented
10#53019C212yesmaximal, complemented
11#52991C212yesmaximal, complemented
12#52617C214yesmaximal, complemented
13#42682C212yesmaximal, complemented
14#42543C212yesmaximal, complemented
15#42482C212yesmaximal, complemented
16#42428C212yesmaximal, complemented
17#40924C214yesmaximal, complemented
18#40101C212yesmaximal, complemented
19#39924C212yesmaximal, complemented
20#39350C211yesmaximal, characteristic, complemented
21#39146C211yesmaximal, characteristic, complemented
22#38930C211yesmaximal, characteristic, complemented
23#38930C211yesmaximal, characteristic, complemented
24#38926C212yesmaximal, complemented
25#37766C212yesmaximal, complemented
26#37624C211yesmaximal, characteristic, complemented
27#37623C211yesmaximal, characteristic, complemented
28#37561C212yesmaximal, complemented
29#37503C212yesmaximal, complemented
30#36261C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#36165C211yesmaximal, characteristic, complemented
33#34943C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#547C2212yes—
39C2×#547C2212yes—
40C2×#542C2212yes—
41C2×#529C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2851C2212yes—
47#2845C2214yes—
48#2844C2214yes—
49#2843C2214yes—
50#2841C2214yes—
51#2841C2214yes—
52#2839C2214yes—
53#2839C2214yes—
54#2838C2214yes—
55#2835C2214yes—
56#2833C2214yes—
57#2831C2214yes—
58#2817C2214yes—
59#2814C2214yes—
60#2814C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2774C2214yes—
64#2771C2214yes—
65#2770C2214yes—
66#2765C2214yes—
67#2761C2214yes—
68#2750C2214yes—
69#2747C2214yes—
70#2746C2214yes—
71#2745C2214yes—
72#2744C2214yes—
73#2743C2214yes—
74#2743C2214yes—
75#2738C2214yes—
76#2738C2214yes—
77#2722C2214yes—
78#2718C2214yes—
79#2717C2214yes—
80#2708C2214yes—
81#2706C2214yes—
82#2698C2214yes—
83#2698C2214yes—
84#2695C2214yes—
85#2695C2214yes—
86#2695C2214yes—
87#2689C2214yes—
88#2689C2214yes—
89#2689C2214yes—
90#2687C2214yes—
91#2687C2214yes—
92#2680C2214yes—
93#2680C2214yes—
94#2680C2214yes—
95#2672C2214yes—
96#2672C2214yes—
97#2672C2214yes—
98#2666C2214yes—
99#2666C2214yes—
100#2666C2214yes—
101#2660C2212yes—
102#2660C2212yes—
103#2660C2212yes—
104#2659C2214yes—
105#2654C2214yes—
106#2647C2212yes—
107#2647C2212yes—
108#2647C2212yes—
109#2647C2212yes—
110#2647C2212yes—
111#2646C2214yes—
112#2645C2212yes—
113#2638C2214yes—
114#2629C2212yes—
115#2628C2212yes—
116#2627C2214yes—
117#2627C2214yes—
118#2625C2212yes—
119#2623C2214yes—
120#2616C2214yes—
121#2586C2214yes—
122#2584C2212yes—
123#2584C2212yes—
124#2583C2214yes—
125#2578C2212yes—
126#2577C2214yes—
127#2576C2212yes—
128#2572C2212yes—
129#2572C2212yes—
130#2571C2211yescharacteristic
131#2571C2211yescharacteristic
132#2571C2211yescharacteristic
133#2570C2212yes—
134#2570C2212yes—
135#2570C2211yescharacteristic
136#2567C2212yes—
137#2567C2212yes—
138#2566C2211yescharacteristic
139#2563C2211yescharacteristic
140#2563C2211yescharacteristic
141#2562C2211yescharacteristic
142#2562C2212yes—
143#2553C2214yes—
144#2553C2214yes—
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2552C2211yescharacteristic
148#2551C2211yescharacteristic
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2212yes—
152#2550C2212yes—
153#2549C2214yes—
154#2547C2211yescharacteristic
155#2547C2212yes—
156#2542C2211yescharacteristic
157#2537C2211yescharacteristic
158#2537C2212yes—
159#2537C2211yescharacteristic
160#2536C2212yes—
161#2536C2212yes—
162#2535C2211yescharacteristic
163#2515C2212yes—
164#2511C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2507C2212yes—
168#2505C2214yes—
169#2505C2214yes—
170#2503C2212yes—
171#2503C2212yes—
172#2497C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2497C2211yescharacteristic
176#2496C2212yes—
177#2496C2212yes—
178#2496C2212yes—
179#2495C2212yes—
180#2495C2211yescharacteristic
181#2495C2211yescharacteristic
182#2494C2212yes—
183#2494C2211yescharacteristic
184#2493C2214yes—
185#2489C2212yes—
186#2488C2214yes—
187#2487C2212yes—
188#2487C2212yes—
189#2486C2212yes—
190#2486C2212yes—
191#2486C2214yes—
192#2486C2212yes—
193#2486C2212yes—
194#2485C2212yes—
195#2474C2214yes—
196#2470C2214yes—
197#2468C2214yes—
198#2468C2214yes—
199#2457C2212yes—
200#2451C2212yes—
201#2451C2212yes—
202#2451C2212yes—
203#2447C2212yes—
204#2442C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2442C2212yes—
208#2442C2212yes—
209#2442C2212yes—
210#2442C2212yes—
211#2441C2212yes—
212#2441C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2440C2212yes—
217#2440C2212yes—
218#2440C2212yes—
219#2440C2212yes—
220#2439C2212yes—
221#2438C2214yes—
222#2438C2214yes—
223#2430C2214yes—
224#2427C2212yes—
225#2427C2212yes—
226#2425C2214yes—
227#2423C2212yes—
228#2423C2212yes—
229#2422C2212yes—
230#2422C2212yes—
231#2422C2211yescharacteristic
232#2422C2212yes—
233#2421C2212yes—
234#2421C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2211yescharacteristic
239#2420C2212yes—
240#2420C2211yescharacteristic
241#2420C2211yescharacteristic
242#2419C2214yes—
243#2419C2214yes—
244#2417C2212yes—
245#2417C2212yes—
246#2417C2212yes—
247#2406C2214yes—
248#2406C2214yes—
249#2401C2212yes—
250#2398C2212yes—
251#2398C2212yes—
252#2395C2214yes—
253#2392C2212yes—
254#2370C2212yes—
255#2365C2211yescharacteristic
256#2365C2211yescharacteristic
257#2361C2212yes—
258#2360C2212yes—
259#2352C2212yes—
260Q8×C4⋊C4C2212yes—
261#2349C2212yes—
262#2349C2212yes—
263#2349C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268#2345C2212yes—
269#2339C2214yes—
270#2332C2214yes—
271#2326C2212yes—
272#2319C2212yes—
273#2319C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C2×#389C2212yes—
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2212yes—
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295C2×#382C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2314yes—
300#554—48no—
301#553—48no—
302#547—48no—
303#547—48no—
304#542—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311#529—48no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C22×C4⋊C4C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C42C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387#401C2312yes—
388#401C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#393C2312yes—
516#393C2312yes—
517#393C2312yes—
518#393C2312yes—
519#393C2314yes—
520#392C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2314yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#383C2312yes—
687#383C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2314yes—
716#381C2312yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2311yescharacteristic
816C2×#41—48no—
817C2×#41—48no—
818C2×#41—48no—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×D4C2411yescharacteristic
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854#126—48no—
855#126—48no—
856#126—48no—
857#125—24no—
858#125—44no—
859#125—44no—
860#125—44no—
861#125—44no—
862#124—28no—
863#124—48no—
864#123—44no—
865#123—48no—
866#123—48no—
867#123—48no—
868#123—48no—
869#123—48no—
870#123—48no—
871#123—48no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883#121—28no—
884#121—24no—
885#121—24no—
886#121—24no—
887#121—28no—
888#121—24no—
889#121—44no—
890#121—48no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—42no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—48no—
913C4×D4—48no—
914#117—44no—
915#117—48no—
916#117—44no—
917C2×C4⋊C4—44no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—44no—
924C2×C4⋊C4—48no—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—28no—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—44no—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2511yescharacteristic
1164C24C2512yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167#41—832no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4H(5,𝔽2)14yes—
1203C2×D4H(5,𝔽2)14yes—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—28no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—22no—
1428C42—42no—
1429C42—42no—
1430C42—41no—
1431C42—44no—
1432C42—44no—
1433C42—41no—
1434C42—44no—
1435C42—44no—
1436C422−1+414yes—
1437C422−1+414yes—
1438C23—22no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—22no—
1447C23—21no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23C2×H(5,𝔽2)14yes—
1464C23C2×H(5,𝔽2)14yes—
1465C23#58512yes—
1466C23C2611yescharacteristic
1467Q8—48no—
1468Q8—84no—
1469Q8—88no—
1470Q8—164no—
1471D4—28no—
1472D4—28no—
1473D4—44no—
1474D4—416no—
1475D4—48no—
1476D4—48no—
1477D4—84no—
1478D4—84no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—48no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—48no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—82no—
1574C2×C4—84no—
1575C2×C4—88no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4—164no—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4C2×2−1+412yes—
1586C2×C4C2×2−1+412yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4#58512yes—
1589C22—24no—
1590C22—24no—
1591C22—22no—
1592C22—22no—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—22no—
1598C22—42no—
1599C22—41no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—42no—
1609C22—42no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22C22×H(5,𝔽2)11yescharacteristic
1618C22C22×H(5,𝔽2)11yescharacteristic
1619C22C22×2−1+411yescharacteristic
1620C22C22×2−1+411yescharacteristic
1621C22C2×#58511yescharacteristic
1622C22C2×#58511yescharacteristic
1623C222−1+611yescharacteristic
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—42no—
1628C4—41no—
1629C4—41no—
1630C4—44no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—44no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4#354414yes—
1654C4#355914yes—
1655C2—44no—
1656C2—44no—
1657C2—42no—
1658C2—81no—
1659C2C2×#355911yescharacteristic
1660C2C2×#354411yescharacteristic
1661C2#6275211yescharacteristic
1662C2#6291511yescharacteristic
1663C2#6292111yescharacteristic
1664C2#6292811yescharacteristic
1665C2#6301211yescharacteristic
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. #59459C2semidirect
2. #59318C2semidirect
3. #59313C2semidirect
4. #59213C2semidirect
5. #59031C2semidirect
6. #58429C2semidirect
7. #57721C2semidirect
8. #53133C2semidirect
9. #53038C2semidirect
10. #53019C2semidirect
11. #52991C2semidirect
12. #52617C2semidirect
13. #42682C2semidirect
14. #42543C2semidirect
15. #42482C2semidirect
16. #42428C2semidirect
17. #40924C2semidirect
18. #40101C2semidirect
19. #39924C2semidirect
20. #39350C2semidirect
21. #39146C2semidirect
22. #38930C2semidirect
23. #38930C2semidirect
24. #38926C2semidirect
25. #37766C2semidirect
26. #37624C2semidirect
27. #37623C2semidirect
28. #37561C2semidirect
29. #37503C2semidirect
30. #36261C2semidirect
31. #36189C2semidirect
32. #36165C2semidirect
33. #34943C2semidirect
34. #34932C2semidirect
35. #34917C2semidirect

Maximal subgroups

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

subgroupindex
#594592
#593182
#593132
#592132
#590312
#584292
#577212
#531332
#530382
#530192
#529912
#526172
#426822
#425432
#424822
#424282
#409242
#401012
#399242
#393502
#391462
#389302
#389262
#377662
#376242
#376232
#375612
#375032
#362612
#361892
#361652
#349432
#349322
#349172