Finite Group Databasebeta

← #9523469

Subgroups — #9523469

Order 512.

5001 conjugacy classes of subgroups.

The subgroup lattice has 2355 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58322C212yesmaximal, complemented
2#58010C212yesmaximal, complemented
3#57208C212yesmaximal, complemented
4#56267C212yesmaximal, complemented
5#55594C212yesmaximal, complemented
6#55525C212yesmaximal, complemented
7#54991C212yesmaximal, complemented
8#54928C212yesmaximal, complemented
9#54928C212yesmaximal, complemented
10#54858C212yesmaximal, complemented
11#53702C212yesmaximal, complemented
12#53481C212yesmaximal, complemented
13#53180C211yesmaximal, characteristic, complemented
14#52443C212yesmaximal, complemented
15#51898C212yesmaximal, complemented
16#51790C212yesmaximal, complemented
17#50794C212yesmaximal, complemented
18#49806C212yesmaximal, complemented
19#48565C212yesmaximal, complemented
20#47207C212yesmaximal, complemented
21#46368C212yesmaximal, complemented
22#46133C211yesmaximal, characteristic, complemented
23#43900C212yesmaximal, complemented
24#43565C212yesmaximal, complemented
25#43193C212yesmaximal, complemented
26#42909C212yesmaximal, complemented
27#42909C212yesmaximal, complemented
28#42425C212yesmaximal, complemented
29#42101C212yesmaximal, complemented
30#41036C212yesmaximal, complemented
31#39670C211yesmaximal, characteristic, complemented
32#39138C211yesmaximal, characteristic, complemented
33#37771C211yesmaximal, characteristic, complemented
34#37217C211yesmaximal, characteristic, complemented
35#36741C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#550C2212yes—
38C2×#550C2211yescharacteristic
39C2×#540C2212yes—
40C2×#539C2211yescharacteristic
41C2×#539C2211yescharacteristic
42C2×#537C2212yes—
43C2×#537C2211yescharacteristic
44C2×#529C2211yescharacteristic
45#2856C2211yescharacteristic
46#2854C2211yescharacteristic
47#2851C2211yescharacteristic
48#2850C2211yescharacteristic
49#2837C2212yes—
50#2837C2212yes—
51#2837C2212yes—
52#2834C2212yes—
53#2832C2212yes—
54#2829C2212yes—
55#2829C2212yes—
56#2828C2212yes—
57#2824C2212yes—
58#2822C2211yescharacteristic
59#2820C2211yescharacteristic
60#2816C2212yes—
61#2816C2212yes—
62#2816C2212yes—
63#2816C2212yes—
64#2813C2212yes—
65#2813C2212yes—
66#2813C2212yes—
67#2813C2212yes—
68#2813C2212yes—
69#2806C2212yes—
70#2805C2211yescharacteristic
71#2803C2212yes—
72#2801C2212yes—
73#2797C2212yes—
74#2791C2212yes—
75#2790C2212yes—
76#2788C2212yes—
77#2784C2212yes—
78#2780C2212yes—
79#2780C2212yes—
80#2780C2212yes—
81#2778C2212yes—
82#2778C2212yes—
83#2774C2212yes—
84#2768C2212yes—
85#2768C2212yes—
86#2768C2212yes—
87#2751C2212yes—
88#2748C2212yes—
89#2748C2212yes—
90#2746C2212yes—
91#2746C2212yes—
92#2746C2212yes—
93#2745C2212yes—
94#2745C2212yes—
95#2742C2212yes—
96#2742C2212yes—
97#2740C2212yes—
98#2733C2211yescharacteristic
99#2732C2212yes—
100#2730C2212yes—
101#2728C2212yes—
102#2727C2211yescharacteristic
103#2724C2211yescharacteristic
104#2723C2212yes—
105#2721C2212yes—
106#2721C2212yes—
107#2720C2212yes—
108#2720C2212yes—
109#2718C2212yes—
110#2718C2212yes—
111#2714C2212yes—
112#2714C2212yes—
113#2714C2212yes—
114#2714C2212yes—
115#2714C2212yes—
116#2711C2212yes—
117#2711C2212yes—
118#2711C2212yes—
119#2711C2212yes—
120#2711C2212yes—
121#2711C2212yes—
122#2710C2212yes—
123#2709C2212yes—
124#2709C2212yes—
125#2708C2212yes—
126#2708C2212yes—
127#2706C2212yes—
128#2705C2212yes—
129#2705C2212yes—
130#2705C2212yes—
131#2704C2212yes—
132#2703C2212yes—
133#2703C2212yes—
134#2703C2212yes—
135#2703C2212yes—
136#2702C2212yes—
137#2701C2212yes—
138#2701C2212yes—
139#2699C2212yes—
140#2699C2212yes—
141#2696C2212yes—
142#2696C2212yes—
143#2695C2212yes—
144#2694C2212yes—
145#2693C2212yes—
146#2692C2212yes—
147#2692C2212yes—
148#2691C2212yes—
149#2691C2212yes—
150#2686C2212yes—
151#2686C2212yes—
152#2682C2211yescharacteristic
153#2682C2211yescharacteristic
154#2682C2212yes—
155#2682C2212yes—
156#2682C2211yescharacteristic
157#2682C2212yes—
158#2682C2212yes—
159#2682C2211yescharacteristic
160#2680C2212yes—
161#2676C2212yes—
162#2676C2212yes—
163#2676C2212yes—
164#2676C2212yes—
165#2675C2212yes—
166#2675C2212yes—
167#2675C2212yes—
168#2675C2212yes—
169#2675C2212yes—
170#2673C2212yes—
171#2673C2212yes—
172#2673C2212yes—
173#2673C2212yes—
174#2673C2212yes—
175#2673C2212yes—
176#2673C2212yes—
177#2673C2212yes—
178#2673C2212yes—
179#2673C2212yes—
180#2673C2212yes—
181#2673C2212yes—
182#2673C2212yes—
183#2673C2212yes—
184#2673C2212yes—
185#2673C2212yes—
186#2672C2212yes—
187#2672C2212yes—
188#2671C2212yes—
189#2671C2212yes—
190#2671C2212yes—
191#2671C2212yes—
192#2671C2212yes—
193#2671C2212yes—
194#2671C2212yes—
195#2671C2212yes—
196#2671C2212yes—
197#2671C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2671C2212yes—
201#2671C2212yes—
202#2671C2212yes—
203#2671C2212yes—
204#2671C2212yes—
205#2665C2212yes—
206#2662C2212yes—
207#2661C2212yes—
208#2661C2212yes—
209#2659C2211yescharacteristic
210#2656C2211yescharacteristic
211#2656C2211yescharacteristic
212#2656C2212yes—
213#2656C2212yes—
214#2656C2212yes—
215#2653C2212yes—
216#2653C2212yes—
217#2648C2212yes—
218#2646C2212yes—
219#2646C2211yescharacteristic
220#2639C2211yescharacteristic
221#2635C2212yes—
222#2635C2212yes—
223#2635C2212yes—
224#2635C2212yes—
225#2630C2212yes—
226#2630C2212yes—
227#2630C2212yes—
228#2619C2212yes—
229#2619C2212yes—
230#2618C2211yescharacteristic
231#2615C2212yes—
232#2615C2212yes—
233#2615C2212yes—
234#2602C2212yes—
235#2602C2212yes—
236#2600C2212yes—
237#2593C2212yes—
238#2590C2212yes—
239#2590C2212yes—
240#2589C2212yes—
241#2585C2212yes—
242#2580C2212yes—
243#2576C2212yes—
244#2576C2212yes—
245#2574C2212yes—
246#2569C2212yes—
247#2564C2212yes—
248#2564C2212yes—
249#2564C2212yes—
250#2564C2212yes—
251#2559C2212yes—
252#2559C2212yes—
253#2556C2212yes—
254#2555C2212yes—
255#2543C2212yes—
256#2543C2212yes—
257#2543C2212yes—
258#2541C2212yes—
259#2541C2212yes—
260#2541C2211yescharacteristic
261#2541C2212yes—
262#2541C2212yes—
263#2540C2212yes—
264#2537C2212yes—
265#2537C2211yescharacteristic
266#2537C2212yes—
267#2537C2212yes—
268#2535C2212yes—
269#2522C2212yes—
270#2522C2212yes—
271#2516C2212yes—
272#2506C2212yes—
273#2505C2212yes—
274#2505C2212yes—
275#2505C2212yes—
276#2501C2212yes—
277#2501C2212yes—
278#2490C2212yes—
279#2487C2212yes—
280#2487C2212yes—
281#2479C2212yes—
282#2476C2212yes—
283#2476C2212yes—
284#2473C2212yes—
285#2471C2212yes—
286#2468C2212yes—
287#2467C2212yes—
288#2466C2212yes—
289#2464C2212yes—
290#2464C2212yes—
291#2464C2212yes—
292#2464C2212yes—
293#2464C2212yes—
294#2464C2212yes—
295#2464C2212yes—
296#2463C2212yes—
297#2462C2212yes—
298#2461C2212yes—
299#2458C2212yes—
300#2457C2212yes—
301#2457C2212yes—
302#2456C2212yes—
303#2455C2212yes—
304#2455C2212yes—
305#2455C2212yes—
306#2455C2212yes—
307#2454C2212yes—
308#2454C2212yes—
309#2450C2212yes—
310#2449C2212yes—
311#2449C2212yes—
312#2445C2212yes—
313#2444C2212yes—
314#2444C2212yes—
315#2443C2212yes—
316#2443C2212yes—
317#2441C2212yes—
318#2441C2212yes—
319#2438C2212yes—
320#2431C2212yes—
321#2431C2212yes—
322#2430C2212yes—
323#2430C2212yes—
324#2430C2212yes—
325#2430C2212yes—
326#2430C2212yes—
327#2430C2212yes—
328#2430C2212yes—
329#2428C2212yes—
330#2428C2212yes—
331#2428C2212yes—
332#2428C2212yes—
333#2428C2212yes—
334#2428C2212yes—
335#2428C2212yes—
336#2428C2212yes—
337#2428C2212yes—
338#2428C2212yes—
339#2425C2212yes—
340#2425C2212yes—
341#2425C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2423C2212yes—
345#2423C2212yes—
346#2423C2212yes—
347#2423C2212yes—
348#2419C2212yes—
349#2416C2212yes—
350#2407C2212yes—
351#2407C2212yes—
352#2407C2212yes—
353#2407C2212yes—
354#2407C2212yes—
355#2407C2212yes—
356#2396C2212yes—
357#2388C2212yes—
358#2388C2212yes—
359#2379C2211yescharacteristic
360#2377C2212yes—
361#2374C2212yes—
362#2368C2212yes—
363#2364C2212yes—
364#2364C2212yes—
365#2359C2212yes—
366#2355C2211yescharacteristic
367#2349C2212yes—
368#2339C2212yes—
369#2339C2212yes—
370#2335C2212yes—
371#2335C2212yes—
372#2329C2212yes—
373#2329C2211yescharacteristic
374#2325C2211yescharacteristic
375#2325C2211yescharacteristic
376#2324C2212yes—
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380C22×#41C2312yes—
381C22×#41C2312yes—
382C22×#41C2312yes—
383#562—44no—
384#550—48no—
385#550—44no—
386#540—48no—
387#539—44no—
388#539—44no—
389#537—44no—
390#537—48no—
391C2×#127C2311yescharacteristic
392C2×#127C2312yes—
393C2×#127C2312yes—
394C2×#127C2312yes—
395C2×#127C2312yes—
396C2×#127C2312yes—
397C2×#127C2312yes—
398C2×#127C2312yes—
399#529—44no—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#125C2311yescharacteristic
405C2×#125C2311yescharacteristic
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#124C2311yescharacteristic
410C2×#124C2311yescharacteristic
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2311yescharacteristic
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2311yescharacteristic
454C2×#121C2311yescharacteristic
455C2×#121C2311yescharacteristic
456C2×#121C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×#121C2312yes—
487C2×#121C2312yes—
488C2×#121C2312yes—
489C2×#121C2312yes—
490C2×#121C2312yes—
491C2×#121C2312yes—
492C2×#121C2312yes—
493C2×#121C2312yes—
494C2×#121C2312yes—
495C2×#121C2312yes—
496C2×#121C2312yes—
497C2×#121C2312yes—
498C2×#121C2312yes—
499C2×#121C2312yes—
500C2×#121C2312yes—
501C2×#121C2312yes—
502C2×#121C2312yes—
503C2×#121C2312yes—
504C2×#121C2312yes—
505C2×#121C2312yes—
506C2×C4×Q8C2311yescharacteristic
507C2×C4×Q8C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2312yes—
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2312yes—
518C2×C4×D4C2312yes—
519C2×C4×D4C2312yes—
520C2×C4×D4C2312yes—
521C2×C4×D4C2312yes—
522C2×C4×D4C2312yes—
523C2×C4×D4C2312yes—
524C2×C4×D4C2312yes—
525C2×C4×D4C2312yes—
526C2×C4×D4C2312yes—
527C2×#117C2312yes—
528C2×#117C2312yes—
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2311yescharacteristic
531C22×C4⋊C4C2312yes—
532C22×C42C2311yescharacteristic
533#401C2312yes—
534#401C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#399C2312yes—
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#399C2312yes—
557#399C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#399C2312yes—
573#399C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#394C2312yes—
715#394C2312yes—
716#394C2312yes—
717#394C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#393C2312yes—
727#393C2312yes—
728#393C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#392C2312yes—
742#392C2312yes—
743#392C2312yes—
744#392C2312yes—
745#392C2312yes—
746#392C2312yes—
747#392C2312yes—
748#392C2312yes—
749#392C2312yes—
750#392C2312yes—
751#392C2312yes—
752#392C2312yes—
753#392C2312yes—
754#392C2312yes—
755#392C2312yes—
756#392C2312yes—
757#392C2312yes—
758#392C2312yes—
759#392C2312yes—
760#392C2312yes—
761#392C2312yes—
762#392C2312yes—
763#392C2312yes—
764#392C2312yes—
765#392C2312yes—
766#392C2312yes—
767#392C2312yes—
768#392C2312yes—
769#392C2312yes—
770#392C2312yes—
771#392C2312yes—
772#392C2312yes—
773#392C2312yes—
774#392C2312yes—
775#392C2312yes—
776#392C2312yes—
777#392C2312yes—
778#392C2312yes—
779#392C2312yes—
780#392C2312yes—
781#391C2312yes—
782#391C2312yes—
783#391C2312yes—
784#391C2312yes—
785#391C2312yes—
786#391C2312yes—
787#391C2312yes—
788#391C2311yescharacteristic
789#390C2312yes—
790#390C2312yes—
791#390C2312yes—
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2312yes—
797#390C2312yes—
798#390C2311yescharacteristic
799#390C2311yescharacteristic
800#390C2311yescharacteristic
801#390C2312yes—
802#390C2311yescharacteristic
803#390C2311yescharacteristic
804#390C2312yes—
805#390C2312yes—
806#390C2311yescharacteristic
807#390C2312yes—
808#390C2312yes—
809#390C2312yes—
810#390C2312yes—
811#390C2312yes—
812#390C2312yes—
813#390C2312yes—
814#390C2312yes—
815#390C2312yes—
816#390C2312yes—
817#390C2312yes—
818#389C2311yescharacteristic
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2312yes—
834#389C2311yescharacteristic
835#389C2311yescharacteristic
836#389C2311yescharacteristic
837#389C2311yescharacteristic
838#389C2312yes—
839#389C2312yes—
840#389C2312yes—
841#389C2312yes—
842#389C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#384C2311yescharacteristic
1037#384C2312yes—
1038#384C2312yes—
1039#384C2312yes—
1040#382C2311yescharacteristic
1041#382C2311yescharacteristic
1042#382C2312yes—
1043#382C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2311yescharacteristic
1064#380C2311yescharacteristic
1065#380C2311yescharacteristic
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2311yescharacteristic
1074#380C2312yes—
1075#380C2312yes—
1076#380C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2311yescharacteristic
1103C2×#95C2311yescharacteristic
1104C2×#95C2311yescharacteristic
1105C2×#95C2312yes—
1106C2×#95C2311yescharacteristic
1107C2×#41—28no—
1108C2×#41—28no—
1109C2×#41—44no—
1110C2×#41—44no—
1111C2×#41—82no—
1112C2×#41—82no—
1113C2×#41—82no—
1114C2×#41—82no—
1115C2×#41—82no—
1116C2×#41—82no—
1117C2×#41—82no—
1118C2×#41—82no—
1119C22×Q8C2412yes—
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2412yes—
1122C22×Q8C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2412yes—
1142C22×D4C2412yes—
1143C22×D4C2412yes—
1144C22×D4C2412yes—
1145C22×D4C2411yescharacteristic
1146C22×D4C2412yes—
1147C22×D4C2412yes—
1148C22×D4C2411yescharacteristic
1149C22×D4C2412yes—
1150C22×D4C2412yes—
1151C22×D4C2412yes—
1152C22×D4C2411yescharacteristic
1153C22×D4C2412yes—
1154C22×D4C2412yes—
1155C22×D4C2412yes—
1156C22×D4C2412yes—
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C23×C4C2411yescharacteristic
1166C23×C4C2411yescharacteristic
1167C23×C4C2412yes—
1168C23×C4C2411yescharacteristic
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2411yescharacteristic
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2411yescharacteristic
1190#127—42no—
1191#127—44no—
1192#127—44no—
1193#127—44no—
1194#127—44no—
1195#127—44no—
1196#127—82no—
1197#127—82no—
1198#126—44no—
1199#126—44no—
1200#126—44no—
1201#126—82no—
1202#125—42no—
1203#125—42no—
1204#125—44no—
1205#125—44no—
1206#125—44no—
1207#124—24no—
1208#124—42no—
1209#124—82no—
1210#124—82no—
1211#123—28no—
1212#123—28no—
1213#123—44no—
1214#123—44no—
1215#123—44no—
1216#123—44no—
1217#123—44no—
1218#123—44no—
1219#123—44no—
1220#123—44no—
1221#123—44no—
1222#123—82no—
1223#123—82no—
1224#123—82no—
1225#123—82no—
1226#123—82no—
1227#123—82no—
1228#123—82no—
1229#123—82no—
1230#123—82no—
1231#123—82no—
1232#123—82no—
1233C22⋊Q8—24no—
1234C22⋊Q8—28no—
1235C22⋊Q8—28no—
1236C22⋊Q8—42no—
1237C22⋊Q8—44no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241C22⋊Q8—44no—
1242C22⋊Q8—44no—
1243C22⋊Q8—82no—
1244#121—28no—
1245#121—24no—
1246#121—28no—
1247#121—44no—
1248#121—44no—
1249#121—42no—
1250#121—44no—
1251#121—44no—
1252#121—44no—
1253#121—44no—
1254#121—44no—
1255#121—44no—
1256#121—44no—
1257#121—44no—
1258#121—44no—
1259#121—44no—
1260#121—44no—
1261#121—44no—
1262#121—44no—
1263#121—44no—
1264#121—44no—
1265#121—42no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—44no—
1272#121—44no—
1273#121—44no—
1274#121—44no—
1275#121—42no—
1276#121—42no—
1277#121—42no—
1278#121—82no—
1279#121—82no—
1280#121—82no—
1281#121—82no—
1282#121—82no—
1283#121—82no—
1284#121—82no—
1285#121—82no—
1286#121—82no—
1287#121—82no—
1288#121—82no—
1289#121—82no—
1290#121—82no—
1291#121—82no—
1292#121—82no—
1293#121—82no—
1294#121—82no—
1295#121—82no—
1296#121—82no—
1297#121—82no—
1298#121—82no—
1299#121—82no—
1300#121—82no—
1301#121—82no—
1302#121—82no—
1303#121—82no—
1304C4×Q8—24no—
1305C4×Q8—44no—
1306C4×D4—28no—
1307C4×D4—44no—
1308C4×D4—44no—
1309C4×D4—42no—
1310C4×D4—42no—
1311C4×D4—44no—
1312C4×D4—44no—
1313C4×D4—44no—
1314C4×D4—44no—
1315C4×D4—44no—
1316C4×D4—82no—
1317C4×D4—82no—
1318C4×D4—82no—
1319C4×D4—82no—
1320C4×D4—82no—
1321C4×D4—82no—
1322C4×D4—82no—
1323C4×D4—82no—
1324C4×D4—82no—
1325#117—44no—
1326#117—44no—
1327C2×C4⋊C4—24no—
1328C2×C4⋊C4—44no—
1329C2×C4⋊C4—42no—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2411yescharacteristic
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2411yescharacteristic
1387C2×C4⋊C4C2411yescharacteristic
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2411yescharacteristic
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C4⋊C4C2411yescharacteristic
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2411yescharacteristic
1396C2×C4⋊C4C2411yescharacteristic
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2411yescharacteristic
1405C2×C4⋊C4C2411yescharacteristic
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C22⋊C4C2412yes—
1496C2×C22⋊C4C2412yes—
1497C2×C22⋊C4C2412yes—
1498C2×C22⋊C4C2412yes—
1499C2×C22⋊C4C2412yes—
1500C2×C22⋊C4C2412yes—
1501C2×C22⋊C4C2412yes—
1502C2×C22⋊C4C2412yes—
1503C2×C22⋊C4C2412yes—
1504C2×C22⋊C4C2412yes—
1505C2×C22⋊C4C2412yes—
1506C2×C22⋊C4C2412yes—
1507C2×C22⋊C4C2412yes—
1508C2×C42—42no—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2412yes—
1515C2×C42C2412yes—
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2412yes—
1525C2×C42C2412yes—
1526C2×C42C2411yescharacteristic
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603C24C2512yes—
1604C24C2512yes—
1605C24C2512yes—
1606C24C2512yes—
1607C24C2512yes—
1608C24C2512yes—
1609C24C2511yescharacteristic
1610#41—816no—
1611#41—816no—
1612#41—816no—
1613#41—816no—
1614C2×Q8—24no—
1615C2×Q8—41no—
1616C2×Q8—41no—
1617C2×Q8—42no—
1618C2×Q8—42no—
1619C2×Q8—42no—
1620C2×Q8—42no—
1621C2×Q8—42no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8H(5,𝔽2)14yes—
1626C2×D4—24no—
1627C2×D4—24no—
1628C2×D4—24no—
1629C2×D4—24no—
1630C2×D4—24no—
1631C2×D4—24no—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—22no—
1635C2×D4—24no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—22no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—41no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—41no—
1666C2×D4—41no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—41no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—41no—
1709C2×D4—41no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—41no—
1713C2×D4—41no—
1714C2×D4—41no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—42no—
1720C2×D4—42no—
1721C2×D4—41no—
1722C2×D4—41no—
1723C2×D4—42no—
1724C2×D4—42no—
1725C2×D4—42no—
1726C2×D4—41no—
1727C2×D4—41no—
1728C2×D4—42no—
1729C2×D4—41no—
1730C2×D4—42no—
1731C2×D4—42no—
1732C2×D4—42no—
1733C2×D4—42no—
1734C2×D4—42no—
1735C2×D4—41no—
1736C2×D4—42no—
1737C2×D4—42no—
1738C2×D4—42no—
1739C2×D4—42no—
1740C2×D4—42no—
1741C2×D4—42no—
1742C2×D4—42no—
1743C2×D4—42no—
1744C2×D4—42no—
1745C2×D4—42no—
1746C2×D4—42no—
1747C2×D4—42no—
1748C2×D4—42no—
1749C2×D4—42no—
1750C2×D4—41no—
1751C2×D4—42no—
1752C22×C4—22no—
1753C22×C4—22no—
1754C22×C4—24no—
1755C22×C4—22no—
1756C22×C4—24no—
1757C22×C4—24no—
1758C22×C4—24no—
1759C22×C4—24no—
1760C22×C4—24no—
1761C22×C4—24no—
1762C22×C4—24no—
1763C22×C4—22no—
1764C22×C4—24no—
1765C22×C4—24no—
1766C22×C4—41no—
1767C22×C4—41no—
1768C22×C4—42no—
1769C22×C4—42no—
1770C22×C4—41no—
1771C22×C4—41no—
1772C22×C4—41no—
1773C22×C4—42no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—41no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4—42no—
1781C22×C4—42no—
1782C22×C4—42no—
1783C22×C4—42no—
1784C22×C4—42no—
1785C22×C4—42no—
1786C22×C4—42no—
1787C22×C4—42no—
1788C22×C4—42no—
1789C22×C4—41no—
1790C22×C4—41no—
1791C22×C4—42no—
1792C22×C4—42no—
1793C22×C4—42no—
1794C22×C4—42no—
1795C22×C4—42no—
1796C22×C4—42no—
1797C22×C4—42no—
1798C22×C4—41no—
1799C22×C4—41no—
1800C22×C4—42no—
1801C22×C4—42no—
1802C22×C4—41no—
1803C22×C4—42no—
1804C22×C4—42no—
1805C22×C4—42no—
1806C22×C4—42no—
1807C22×C4—42no—
1808C22×C4—42no—
1809C22×C4—41no—
1810C22×C4—42no—
1811C22×C4—42no—
1812C22×C4—42no—
1813C22×C4—42no—
1814C22×C4—42no—
1815C22×C4—42no—
1816C22×C4—42no—
1817C22×C4—42no—
1818C22×C4—42no—
1819C22×C4—41no—
1820C22×C4—41no—
1821C22×C4—41no—
1822C22×C4—42no—
1823C22×C4—42no—
1824C22×C4—42no—
1825C22×C4—41no—
1826C22×C4H(5,𝔽2)14yes—
1827C22×C4C2512yes—
1828C22×C4C2512yes—
1829C22×C4C2512yes—
1830C22×C4C2512yes—
1831C22×C4C2512yes—
1832C22×C4C2511yescharacteristic
1833C22×C4C2512yes—
1834C22×C4C2512yes—
1835C22×C4C2512yes—
1836C22×C4C2512yes—
1837C22×C4C2512yes—
1838C22×C4C2512yes—
1839C22×C4C2512yes—
1840C22×C4C2512yes—
1841C22×C4C2512yes—
1842C22×C4C2512yes—
1843C22×C4C2512yes—
1844C22×C4C2512yes—
1845C22×C4C2511yescharacteristic
1846C22×C4C2511yescharacteristic
1847C22×C4C2511yescharacteristic
1848C22×C4C2512yes—
1849C22×C4C2512yes—
1850C22×C4C2511yescharacteristic
1851C22×C4C2512yes—
1852C22×C4C2512yes—
1853C22×C4C2511yescharacteristic
1854C22×C4C2512yes—
1855C4⋊C4—24no—
1856C4⋊C4—24no—
1857C4⋊C4—24no—
1858C4⋊C4—24no—
1859C4⋊C4—24no—
1860C4⋊C4—24no—
1861C4⋊C4—24no—
1862C4⋊C4—24no—
1863C4⋊C4—24no—
1864C4⋊C4—22no—
1865C4⋊C4—22no—
1866C4⋊C4—24no—
1867C4⋊C4—24no—
1868C4⋊C4—24no—
1869C4⋊C4—24no—
1870C4⋊C4—24no—
1871C4⋊C4—24no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—41no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—41no—
1894C4⋊C4—41no—
1895C4⋊C4—42no—
1896C4⋊C4—42no—
1897C4⋊C4—42no—
1898C4⋊C4—41no—
1899C4⋊C4—41no—
1900C4⋊C4—42no—
1901C4⋊C4—41no—
1902C4⋊C4—42no—
1903C4⋊C4—42no—
1904C4⋊C4—42no—
1905C4⋊C4—42no—
1906C4⋊C4—42no—
1907C4⋊C4—42no—
1908C4⋊C4—42no—
1909C4⋊C4—42no—
1910C4⋊C4—42no—
1911C4⋊C4—42no—
1912C4⋊C4—42no—
1913C4⋊C4—42no—
1914C4⋊C4—42no—
1915C4⋊C4—41no—
1916C4⋊C4—42no—
1917C4⋊C4—41no—
1918C4⋊C4—41no—
1919C4⋊C4—42no—
1920C4⋊C4—42no—
1921C4⋊C4—42no—
1922C4⋊C4—42no—
1923C4⋊C4—42no—
1924C4⋊C4—42no—
1925C4⋊C4—41no—
1926C4⋊C4—41no—
1927C4⋊C4—41no—
1928C4⋊C4—42no—
1929C4⋊C4—41no—
1930C4⋊C42−1+414yes—
1931C22⋊C4—24no—
1932C22⋊C4—24no—
1933C22⋊C4—24no—
1934C22⋊C4—24no—
1935C22⋊C4—24no—
1936C22⋊C4—24no—
1937C22⋊C4—24no—
1938C22⋊C4—24no—
1939C22⋊C4—24no—
1940C22⋊C4—24no—
1941C22⋊C4—24no—
1942C22⋊C4—24no—
1943C22⋊C4—24no—
1944C22⋊C4—24no—
1945C22⋊C4—24no—
1946C22⋊C4—24no—
1947C22⋊C4—24no—
1948C22⋊C4—24no—
1949C22⋊C4—24no—
1950C22⋊C4—24no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—42no—
1987C22⋊C4—42no—
1988C22⋊C4—42no—
1989C22⋊C4—42no—
1990C22⋊C4—42no—
1991C22⋊C4—42no—
1992C22⋊C4—42no—
1993C22⋊C4—42no—
1994C22⋊C4—42no—
1995C22⋊C4—42no—
1996C22⋊C4—42no—
1997C22⋊C4—42no—
1998C22⋊C4—42no—
1999C22⋊C4—42no—
2000C22⋊C4—42no—
2001C22⋊C4—42no—
2002C22⋊C4—42no—
2003C22⋊C4—42no—
2004C22⋊C4—42no—
2005C22⋊C4—42no—
2006C22⋊C4—42no—
2007C22⋊C4—42no—
2008C22⋊C4—42no—
2009C22⋊C4—42no—
2010C22⋊C4—42no—
2011C22⋊C4—42no—
2012C22⋊C4—42no—
2013C22⋊C4—42no—
2014C22⋊C4—42no—
2015C22⋊C4—42no—
2016C22⋊C4—42no—
2017C22⋊C4—42no—
2018C22⋊C4—42no—
2019C22⋊C4—42no—
2020C22⋊C4—42no—
2021C22⋊C4—42no—
2022C22⋊C4—42no—
2023C22⋊C4—42no—
2024C22⋊C4—42no—
2025C22⋊C4—42no—
2026C22⋊C4—42no—
2027C22⋊C4—42no—
2028C22⋊C4—42no—
2029C22⋊C4—42no—
2030C22⋊C4—42no—
2031C22⋊C4—42no—
2032C22⋊C4—42no—
2033C42—22no—
2034C42—22no—
2035C42—24no—
2036C42—24no—
2037C42—41no—
2038C42—41no—
2039C42—42no—
2040C42—42no—
2041C42—42no—
2042C42—42no—
2043C42—42no—
2044C42—42no—
2045C42—42no—
2046C42—42no—
2047C42—42no—
2048C42—42no—
2049C42—42no—
2050C42—42no—
2051C23—21no—
2052C23—21no—
2053C23—21no—
2054C23—21no—
2055C23—21no—
2056C23—21no—
2057C23—22no—
2058C23—22no—
2059C23—22no—
2060C23—22no—
2061C23—22no—
2062C23—22no—
2063C23—22no—
2064C23—22no—
2065C23—22no—
2066C23—22no—
2067C23—22no—
2068C23—22no—
2069C23—22no—
2070C23—22no—
2071C23—22no—
2072C23—22no—
2073C23—22no—
2074C23—22no—
2075C23—22no—
2076C23—22no—
2077C23—22no—
2078C23—22no—
2079C23—22no—
2080C23—22no—
2081C23—22no—
2082C23—22no—
2083C23—22no—
2084C23—22no—
2085C23—22no—
2086C23—22no—
2087C23—22no—
2088C23—22no—
2089C23—22no—
2090C23—22no—
2091C23—22no—
2092C23—22no—
2093C23—22no—
2094C23—22no—
2095C23—22no—
2096C23—22no—
2097C23—22no—
2098C23—22no—
2099C23C2×H(5,𝔽2)12yes—
2100C23C2611yescharacteristic
2101Q8—44no—
2102Q8—48no—
2103Q8—84no—
2104Q8—161no—
2105D4—48no—
2106D4—48no—
2107D4—48no—
2108D4—82no—
2109D4—82no—
2110D4—84no—
2111D4—84no—
2112D4—84no—
2113D4—84no—
2114D4—84no—
2115D4—84no—
2116D4—84no—
2117D4—84no—
2118D4—84no—
2119D4—84no—
2120D4—84no—
2121D4—84no—
2122D4—84no—
2123D4—84no—
2124D4—84no—
2125D4—84no—
2126D4—84no—
2127D4—84no—
2128D4—84no—
2129D4—84no—
2130D4—162no—
2131D4—162no—
2132D4—162no—
2133D4—162no—
2134D4—162no—
2135D4—161no—
2136D4—162no—
2137D4—162no—
2138D4—161no—
2139D4—161no—
2140D4—161no—
2141D4—162no—
2142D4—162no—
2143D4—162no—
2144D4—162no—
2145D4—162no—
2146D4—162no—
2147C2×C4—21no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—21no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—21no—
2156C2×C4—21no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—21no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—22no—
2169C2×C4—22no—
2170C2×C4—22no—
2171C2×C4—22no—
2172C2×C4—22no—
2173C2×C4—22no—
2174C2×C4—22no—
2175C2×C4—22no—
2176C2×C4—22no—
2177C2×C4—22no—
2178C2×C4—21no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—21no—
2182C2×C4—22no—
2183C2×C4—21no—
2184C2×C4—22no—
2185C2×C4—22no—
2186C2×C4—22no—
2187C2×C4—22no—
2188C2×C4—22no—
2189C2×C4—22no—
2190C2×C4—22no—
2191C2×C4—22no—
2192C2×C4—22no—
2193C2×C4—22no—
2194C2×C4—22no—
2195C2×C4—22no—
2196C2×C4—22no—
2197C2×C4—22no—
2198C2×C4—22no—
2199C2×C4—21no—
2200C2×C4—21no—
2201C2×C4—21no—
2202C2×C4—22no—
2203C2×C4—22no—
2204C2×C4—22no—
2205C2×C4—21no—
2206C2×C4—22no—
2207C2×C4—22no—
2208C2×C4—22no—
2209C2×C4—22no—
2210C2×C4—22no—
2211C2×C4—22no—
2212C2×C4—22no—
2213C2×C4—22no—
2214C2×C4—22no—
2215C2×C4—22no—
2216C2×C4—21no—
2217C2×C4—22no—
2218C2×C4—22no—
2219C2×C4—22no—
2220C2×C4—22no—
2221C2×C4—22no—
2222C2×C4—22no—
2223C2×C4—22no—
2224C2×C4—22no—
2225C2×C4—22no—
2226C2×C4—44no—
2227C2×C4—48no—
2228C2×C4—82no—
2229C2×C4—82no—
2230C2×C4—84no—
2231C2×C4—84no—
2232C2×C4—84no—
2233C2×C4—84no—
2234C2×C4—84no—
2235C2×C4—84no—
2236C2×C4—84no—
2237C2×C4—84no—
2238C2×C4—84no—
2239C2×C4—82no—
2240C2×C4—82no—
2241C2×C4—84no—
2242C2×C4—84no—
2243C2×C4—162no—
2244C2×C4—162no—
2245C2×C4—162no—
2246C2×C4—161no—
2247C2×C4—161no—
2248C2×C4—162no—
2249C2×C4—162no—
2250C2×C4—162no—
2251C2×C4C2×H(5,𝔽2)12yes—
2252C2×C4C2×H(5,𝔽2)14yes—
2253C2×C4C2×H(5,𝔽2)14yes—
2254C2×C4C2×2−1+414yes—
2255C2×C4C2×2−1+412yes—
2256C22—22no—
2257C22—22no—
2258C22—22no—
2259C22—41no—
2260C22—41no—
2261C22—41no—
2262C22—41no—
2263C22—42no—
2264C22—42no—
2265C22—42no—
2266C22—42no—
2267C22—42no—
2268C22—42no—
2269C22—42no—
2270C22—42no—
2271C22—42no—
2272C22—42no—
2273C22—42no—
2274C22—42no—
2275C22—42no—
2276C22—42no—
2277C22—42no—
2278C22—42no—
2279C22—42no—
2280C22—42no—
2281C22—42no—
2282C22—42no—
2283C22—42no—
2284C22—42no—
2285C22—42no—
2286C22—42no—
2287C22—42no—
2288C22—42no—
2289C22—42no—
2290C22—42no—
2291C22—42no—
2292C22—42no—
2293C22—42no—
2294C22—42no—
2295C22—42no—
2296C22—42no—
2297C22—42no—
2298C22—42no—
2299C22—42no—
2300C22—42no—
2301C22—42no—
2302C22—42no—
2303C22—42no—
2304C22—42no—
2305C22C22×H(5,𝔽2)11yescharacteristic
2306C22C22×H(5,𝔽2)11yescharacteristic
2307C22C22×2−1+411yescharacteristic
2308C22H(7,𝔽2)11yescharacteristic
2309C22H(7,𝔽2)11yescharacteristic
2310C22H(7,𝔽2)11yescharacteristic
2311C22H(7,𝔽2)11yescharacteristic
2312C4—24no—
2313C4—24no—
2314C4—22no—
2315C4—22no—
2316C4—24no—
2317C4—42no—
2318C4—42no—
2319C4—42no—
2320C4—42no—
2321C4—42no—
2322C4—42no—
2323C4—42no—
2324C4—42no—
2325C4—42no—
2326C4—42no—
2327C4—42no—
2328C4—41no—
2329C4—42no—
2330C4—42no—
2331C4—41no—
2332C4—41no—
2333C4—42no—
2334C4—42no—
2335C4—42no—
2336C4—42no—
2337C4—41no—
2338C4—42no—
2339C4—42no—
2340C2—42no—
2341C2—82no—
2342C2—82no—
2343C2—82no—
2344C2—82no—
2345C2—82no—
2346C2—82no—
2347C2#6286211yescharacteristic
2348C2#6286211yescharacteristic
2349C2#6291611yescharacteristic
2350C2#6291711yescharacteristic
2351C2#6294411yescharacteristic
2352C2#6297611yescharacteristic
2353C2#6307011yescharacteristic
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. #58322C2semidirect
2. #58010C2semidirect
3. #57208C2semidirect
4. #56267C2semidirect
5. #55594C2semidirect
6. #55525C2semidirect
7. #54991C2semidirect
8. #54928C2semidirect
9. #54928C2semidirect
10. #54858C2semidirect
11. #53702C2semidirect
12. #53481C2semidirect
13. #53180C2semidirect
14. #52443C2semidirect
15. #51898C2semidirect
16. #51790C2semidirect
17. #50794C2semidirect
18. #49806C2semidirect
19. #48565C2semidirect
20. #47207C2semidirect
21. #46368C2semidirect
22. #46133C2semidirect
23. #43900C2semidirect
24. #43565C2semidirect
25. #43193C2semidirect
26. #42909C2semidirect
27. #42909C2semidirect
28. #42425C2semidirect
29. #42101C2semidirect
30. #41036C2semidirect
31. #39670C2semidirect
32. #39138C2semidirect
33. #37771C2semidirect
34. #37217C2semidirect
35. #36741C2semidirect

Maximal subgroups

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

subgroupindex
#583222
#580102
#572082
#562672
#555942
#555252
#549912
#549282
#548582
#537022
#534812
#531802
#524432
#518982
#517902
#507942
#498062
#485652
#472072
#463682
#461332
#439002
#435652
#431932
#429092
#424252
#421012
#410362
#396702
#391382
#377712
#372172
#367412