Finite Group Databasebeta

← #9435228

Subgroups — #9435228

Order 512.

4631 conjugacy classes of subgroups.

The subgroup lattice has 2216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58933C212yesmaximal, complemented
2#58602C212yesmaximal, complemented
3#57469C212yesmaximal, complemented
4#57314C212yesmaximal, complemented
5#57206C212yesmaximal, complemented
6#56487C212yesmaximal, complemented
7#55783C212yesmaximal, complemented
8#55698C212yesmaximal, complemented
9#55027C212yesmaximal, complemented
10#54194C212yesmaximal, complemented
11#53690C212yesmaximal, complemented
12#53541C212yesmaximal, complemented
13#53365C212yesmaximal, complemented
14#53195C211yesmaximal, characteristic, complemented
15#51323C212yesmaximal, complemented
16#49580C212yesmaximal, complemented
17#49565C212yesmaximal, complemented
18#49390C212yesmaximal, complemented
19#47870C212yesmaximal, complemented
20#47863C212yesmaximal, complemented
21#47123C212yesmaximal, complemented
22#46553C212yesmaximal, complemented
23#46443C212yesmaximal, complemented
24#46345C212yesmaximal, complemented
25#46133C211yesmaximal, characteristic, complemented
26#40272C212yesmaximal, complemented
27#39679C211yesmaximal, characteristic, complemented
28#39662C212yesmaximal, complemented
29#39424C212yesmaximal, complemented
30#39137C211yesmaximal, characteristic, complemented
31#37755C211yesmaximal, characteristic, complemented
32#37167C211yesmaximal, characteristic, complemented
33#37131C212yesmaximal, complemented
34#37093C212yesmaximal, complemented
35#36741C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#562C2212yes—
38C2×#559C2211yescharacteristic
39C2×#544C2211yescharacteristic
40C2×#542C2212yes—
41C2×#539C2211yescharacteristic
42C2×#539C2212yes—
43C2×#537C2211yescharacteristic
44C2×#529C2211yescharacteristic
45#2861C2212yes—
46#2860C2212yes—
47#2860C2212yes—
48#2859C2212yes—
49#2856C2211yescharacteristic
50#2855C2211yescharacteristic
51#2851C2211yescharacteristic
52#2850C2211yescharacteristic
53#2841C2212yes—
54#2841C2212yes—
55#2837C2212yes—
56#2836C2212yes—
57#2832C2212yes—
58#2832C2212yes—
59#2831C2212yes—
60#2831C2212yes—
61#2828C2212yes—
62#2827C2212yes—
63#2824C2212yes—
64#2822C2211yescharacteristic
65#2820C2211yescharacteristic
66#2816C2212yes—
67#2814C2212yes—
68#2809C2212yes—
69#2808C2211yescharacteristic
70#2807C2212yes—
71#2807C2212yes—
72#2807C2212yes—
73#2806C2211yescharacteristic
74#2806C2211yescharacteristic
75#2805C2212yes—
76#2804C2211yescharacteristic
77#2804C2212yes—
78#2802C2212yes—
79#2800C2212yes—
80#2797C2212yes—
81#2796C2212yes—
82#2792C2212yes—
83#2792C2212yes—
84#2790C2212yes—
85#2777C2212yes—
86#2774C2212yes—
87#2774C2212yes—
88#2770C2212yes—
89#2768C2212yes—
90#2768C2212yes—
91#2768C2212yes—
92#2763C2212yes—
93#2754C2212yes—
94#2754C2212yes—
95#2753C2212yes—
96#2753C2212yes—
97#2753C2212yes—
98#2750C2212yes—
99#2750C2212yes—
100#2749C2212yes—
101#2749C2212yes—
102#2744C2212yes—
103#2732C2212yes—
104#2732C2212yes—
105#2732C2211yescharacteristic
106#2731C2212yes—
107#2731C2212yes—
108#2731C2212yes—
109#2730C2212yes—
110#2730C2212yes—
111#2729C2212yes—
112#2728C2212yes—
113#2728C2212yes—
114#2727C2211yescharacteristic
115#2727C2212yes—
116#2727C2211yescharacteristic
117#2727C2212yes—
118#2726C2212yes—
119#2726C2212yes—
120#2725C2212yes—
121#2725C2212yes—
122#2725C2212yes—
123#2724C2212yes—
124#2723C2212yes—
125#2723C2212yes—
126#2723C2212yes—
127#2723C2212yes—
128#2723C2212yes—
129#2720C2212yes—
130#2720C2212yes—
131#2719C2212yes—
132#2718C2212yes—
133#2718C2212yes—
134#2718C2212yes—
135#2718C2212yes—
136#2718C2212yes—
137#2718C2212yes—
138#2718C2212yes—
139#2718C2212yes—
140#2716C2212yes—
141#2715C2212yes—
142#2715C2212yes—
143#2714C2212yes—
144#2714C2212yes—
145#2714C2212yes—
146#2714C2212yes—
147#2712C2212yes—
148#2711C2212yes—
149#2711C2212yes—
150#2710C2212yes—
151#2709C2212yes—
152#2708C2212yes—
153#2707C2212yes—
154#2707C2212yes—
155#2706C2212yes—
156#2706C2212yes—
157#2705C2212yes—
158#2705C2212yes—
159#2705C2212yes—
160#2705C2212yes—
161#2704C2212yes—
162#2704C2212yes—
163#2704C2212yes—
164#2704C2212yes—
165#2701C2212yes—
166#2701C2212yes—
167#2701C2212yes—
168#2701C2212yes—
169#2701C2212yes—
170#2700C2212yes—
171#2698C2212yes—
172#2698C2212yes—
173#2698C2212yes—
174#2696C2212yes—
175#2695C2212yes—
176#2695C2212yes—
177#2695C2212yes—
178#2695C2212yes—
179#2694C2212yes—
180#2693C2212yes—
181#2692C2212yes—
182#2692C2212yes—
183#2692C2212yes—
184#2692C2212yes—
185#2691C2212yes—
186#2691C2212yes—
187#2691C2212yes—
188#2690C2212yes—
189#2689C2212yes—
190#2687C2212yes—
191#2686C2212yes—
192#2683C2212yes—
193#2683C2212yes—
194#2683C2211yescharacteristic
195#2682C2212yes—
196#2682C2212yes—
197#2682C2212yes—
198#2681C2212yes—
199#2681C2212yes—
200#2681C2212yes—
201#2681C2212yes—
202#2681C2212yes—
203#2680C2212yes—
204#2680C2212yes—
205#2680C2212yes—
206#2680C2212yes—
207#2676C2212yes—
208#2676C2212yes—
209#2673C2212yes—
210#2673C2212yes—
211#2672C2212yes—
212#2672C2212yes—
213#2672C2212yes—
214#2672C2212yes—
215#2671C2212yes—
216#2671C2212yes—
217#2671C2212yes—
218#2671C2212yes—
219#2671C2212yes—
220#2666C2212yes—
221#2666C2212yes—
222#2664C2212yes—
223#2664C2212yes—
224#2661C2212yes—
225#2661C2212yes—
226#2659C2211yescharacteristic
227#2656C2211yescharacteristic
228#2652C2212yes—
229#2650C2212yes—
230#2649C2212yes—
231#2649C2212yes—
232#2646C2211yescharacteristic
233#2646C2212yes—
234#2639C2211yescharacteristic
235#2639C2211yescharacteristic
236#2637C2212yes—
237#2636C2212yes—
238#2636C2212yes—
239#2629C2212yes—
240#2620C2212yes—
241#2620C2212yes—
242#2618C2211yescharacteristic
243#2618C2212yes—
244#2602C2212yes—
245#2602C2212yes—
246#2602C2212yes—
247#2602C2212yes—
248#2597C2212yes—
249#2590C2212yes—
250#2590C2212yes—
251#2583C2212yes—
252#2583C2212yes—
253#2581C2212yes—
254#2580C2212yes—
255#2580C2212yes—
256#2575C2212yes—
257#2567C2212yes—
258#2560C2212yes—
259#2560C2212yes—
260#2560C2212yes—
261#2560C2212yes—
262#2559C2212yes—
263#2558C2212yes—
264#2558C2212yes—
265#2557C2212yes—
266#2557C2212yes—
267#2556C2212yes—
268#2556C2212yes—
269#2555C2212yes—
270#2553C2212yes—
271#2552C2212yes—
272#2549C2212yes—
273#2549C2212yes—
274#2549C2212yes—
275#2548C2212yes—
276#2543C2212yes—
277#2541C2211yescharacteristic
278#2540C2212yes—
279#2538C2211yescharacteristic
280#2537C2212yes—
281#2536C2212yes—
282#2521C2212yes—
283#2521C2212yes—
284#2516C2212yes—
285#2513C2212yes—
286#2513C2212yes—
287#2511C2212yes—
288#2508C2212yes—
289#2508C2212yes—
290#2505C2212yes—
291#2505C2212yes—
292#2502C2212yes—
293#2492C2212yes—
294#2490C2212yes—
295#2488C2212yes—
296#2476C2212yes—
297#2475C2212yes—
298#2474C2212yes—
299#2471C2212yes—
300#2464C2212yes—
301#2464C2212yes—
302#2464C2212yes—
303#2462C2212yes—
304#2461C2212yes—
305#2461C2212yes—
306#2460C2212yes—
307#2460C2212yes—
308#2459C2212yes—
309#2457C2212yes—
310#2457C2212yes—
311#2456C2212yes—
312#2454C2212yes—
313#2453C2212yes—
314#2452C2212yes—
315#2452C2212yes—
316#2452C2212yes—
317#2451C2212yes—
318#2450C2212yes—
319#2450C2212yes—
320#2450C2212yes—
321#2449C2212yes—
322#2449C2212yes—
323#2446C2212yes—
324#2445C2212yes—
325#2445C2212yes—
326#2444C2212yes—
327#2443C2212yes—
328#2440C2212yes—
329#2439C2212yes—
330#2438C2212yes—
331#2432C2212yes—
332#2430C2212yes—
333#2430C2212yes—
334#2430C2212yes—
335#2429C2212yes—
336#2429C2212yes—
337#2428C2212yes—
338#2428C2212yes—
339#2426C2212yes—
340#2426C2212yes—
341#2426C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2425C2212yes—
345#2423C2212yes—
346#2423C2212yes—
347#2422C2212yes—
348#2419C2212yes—
349#2417C2212yes—
350#2417C2212yes—
351#2416C2212yes—
352#2416C2212yes—
353#2415C2212yes—
354#2415C2212yes—
355#2413C2212yes—
356#2413C2212yes—
357#2407C2212yes—
358#2406C2212yes—
359#2379C2211yescharacteristic
360#2379C2212yes—
361#2363C2212yes—
362#2360C2212yes—
363#2360C2212yes—
364#2359C2212yes—
365Q8×C4⋊C4C2211yescharacteristic
366#2334C2212yes—
367#2334C2212yes—
368#2333C2212yes—
369#2329C2211yescharacteristic
370#2329C2211yescharacteristic
371#2329C2211yescharacteristic
372#2325C2212yes—
373#2324C2212yes—
374C4×C4⋊Q8C2212yes—
375C4×#126C2212yes—
376C4×C22⋊Q8C2211yescharacteristic
377#2293C2212yes—
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380#562—48no—
381#562—44no—
382#559—44no—
383#544—44no—
384#542—48no—
385#539—44no—
386#539—48no—
387#537—44no—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×#127C2311yescharacteristic
392C2×#127C2312yes—
393#529—44no—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#125C2311yescharacteristic
405C2×#125C2311yescharacteristic
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#124C2311yescharacteristic
413C2×#124C2312yes—
414C2×#124C2311yescharacteristic
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
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×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2311yescharacteristic
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2311yescharacteristic
467C2×#121C2311yescharacteristic
468C2×#121C2311yescharacteristic
469C2×#121C2311yescharacteristic
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×C4×Q8C2311yescharacteristic
487C2×C4×Q8C2311yescharacteristic
488C2×C4×Q8C2312yes—
489C2×C4×Q8C2312yes—
490C2×C4×Q8C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C42C2311yescharacteristic
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
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#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
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#397C2312yes—
619#397C2312yes—
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#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
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#394C2312yes—
719#394C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#393C2312yes—
727#393C2312yes—
728#393C2312yes—
729#393C2312yes—
730#393C2312yes—
731#393C2312yes—
732#393C2312yes—
733#393C2312yes—
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#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2311yescharacteristic
759#391C2311yescharacteristic
760#391C2311yescharacteristic
761#391C2312yes—
762#391C2312yes—
763#391C2311yescharacteristic
764#391C2312yes—
765#391C2312yes—
766#391C2312yes—
767#391C2312yes—
768#391C2312yes—
769#391C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#390C2312yes—
780#390C2312yes—
781#390C2311yescharacteristic
782#390C2312yes—
783#390C2311yescharacteristic
784#390C2311yescharacteristic
785#390C2312yes—
786#390C2312yes—
787#390C2312yes—
788#390C2312yes—
789#390C2312yes—
790#390C2312yes—
791#390C2312yes—
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2312yes—
797#390C2312yes—
798#390C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2311yescharacteristic
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2311yescharacteristic
826#389C2311yescharacteristic
827#389C2311yescharacteristic
828#389C2311yescharacteristic
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2312yes—
834#389C2312yes—
835#389C2312yes—
836#389C2312yes—
837#389C2312yes—
838#389C2312yes—
839#389C2312yes—
840#389C2312yes—
841#389C2312yes—
842#389C2312yes—
843#389C2312yes—
844#389C2312yes—
845#389C2312yes—
846#389C2312yes—
847#389C2312yes—
848#389C2312yes—
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#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
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#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
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#384C2312yes—
1037#384C2312yes—
1038#384C2312yes—
1039#384C2311yescharacteristic
1040#384C2312yes—
1041#384C2312yes—
1042#383C2312yes—
1043#382C2311yescharacteristic
1044#382C2311yescharacteristic
1045#382C2312yes—
1046#382C2312yes—
1047#382C2312yes—
1048#382C2312yes—
1049#382C2312yes—
1050#382C2312yes—
1051#382C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#381C2312yes—
1055#381C2312yes—
1056#381C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2311yescharacteristic
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊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—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C2×#95C2311yescharacteristic
1104C2×#95C2311yescharacteristic
1105C2×#95C2312yes—
1106C43C2312yes—
1107C2×#41—44no—
1108C2×#41—82no—
1109C2×#41—82no—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2411yescharacteristic
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C23×C4C2411yescharacteristic
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2411yescharacteristic
1156C23×C4C2411yescharacteristic
1157C4⋊Q8—28no—
1158C4⋊Q8—44no—
1159C4⋊Q8—82no—
1160#127—42no—
1161#127—82no—
1162#126—28no—
1163#126—44no—
1164#126—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#126—82no—
1170#126—82no—
1171#126—82no—
1172#125—42no—
1173#125—44no—
1174#125—44no—
1175#125—44no—
1176#125—42no—
1177#125—44no—
1178#125—44no—
1179#125—44no—
1180#124—24no—
1181#124—28no—
1182#124—44no—
1183#124—44no—
1184#124—42no—
1185#124—44no—
1186#124—44no—
1187#124—44no—
1188#123—28no—
1189#123—44no—
1190#123—44no—
1191#123—44no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—44no—
1199#123—44no—
1200#123—44no—
1201#123—44no—
1202#123—44no—
1203#123—44no—
1204#123—82no—
1205#123—82no—
1206#123—82no—
1207C22⋊Q8—24no—
1208C22⋊Q8—28no—
1209C22⋊Q8—28no—
1210C22⋊Q8—24no—
1211C22⋊Q8—42no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—42no—
1225C22⋊Q8—82no—
1226C22⋊Q8—82no—
1227C22⋊Q8—82no—
1228C22⋊Q8—82no—
1229C22⋊Q8—82no—
1230C22⋊Q8—82no—
1231C22⋊Q8—82no—
1232#121—28no—
1233#121—28no—
1234#121—44no—
1235#121—44no—
1236#121—44no—
1237#121—44no—
1238#121—44no—
1239#121—44no—
1240#121—44no—
1241#121—44no—
1242#121—44no—
1243#121—42no—
1244#121—42no—
1245#121—42no—
1246#121—42no—
1247#121—82no—
1248#121—82no—
1249#121—82no—
1250#121—82no—
1251#121—82no—
1252#121—82no—
1253#121—82no—
1254C4×Q8—24no—
1255C4×Q8—42no—
1256C4×Q8—44no—
1257C4×Q8—82no—
1258C4×Q8—82no—
1259C4×D4—28no—
1260C4×D4—44no—
1261C4×D4—44no—
1262C4×D4—42no—
1263C4×D4—44no—
1264C4×D4—44no—
1265C4×D4—44no—
1266C4×D4—82no—
1267C4×D4—82no—
1268C4×D4—82no—
1269#117—44no—
1270#117—44no—
1271#117—44no—
1272C2×C4⋊C4—24no—
1273C2×C4⋊C4—44no—
1274C2×C4⋊C4—42no—
1275C2×C4⋊C4—82no—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2411yescharacteristic
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2411yescharacteristic
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
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×C42—42no—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2412yes—
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
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—
1573C24C2512yes—
1574C24C2512yes—
1575C24C2512yes—
1576C24C2512yes—
1577C24C2511yescharacteristic
1578#41—816no—
1579C2×Q8—24no—
1580C2×Q8—24no—
1581C2×Q8—22no—
1582C2×Q8—41no—
1583C2×Q8—41no—
1584C2×Q8—42no—
1585C2×Q8—41no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—41no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—42no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—42no—
1596C2×Q8—41no—
1597C2×Q8—41no—
1598C2×Q8—42no—
1599C2×Q8—42no—
1600C2×Q8—41no—
1601C2×Q8—41no—
1602C2×Q8H(5,𝔽2)14yes—
1603C2×D4—24no—
1604C2×D4—24no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—22no—
1608C2×D4—24no—
1609C2×D4—24no—
1610C2×D4—24no—
1611C2×D4—24no—
1612C2×D4—24no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—41no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—41no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—41no—
1643C2×D4—41no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—41no—
1648C2×D4—42no—
1649C2×D4—41no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—41no—
1656C2×D4—41no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—41no—
1660C2×D4—41no—
1661C2×D4—41no—
1662C2×D4—42no—
1663C22×C4—22no—
1664C22×C4—22no—
1665C22×C4—22no—
1666C22×C4—24no—
1667C22×C4—24no—
1668C22×C4—24no—
1669C22×C4—22no—
1670C22×C4—41no—
1671C22×C4—41no—
1672C22×C4—41no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—41no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4—41no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C4—41no—
1695C22×C4—42no—
1696C22×C4—41no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—41no—
1709C22×C4—41no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—41no—
1713C22×C4—42no—
1714C22×C4—41no—
1715C22×C4—41no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4H(5,𝔽2)14yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2511yescharacteristic
1730C22×C4C2512yes—
1731C22×C4C2511yescharacteristic
1732C22×C4C2511yescharacteristic
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2511yescharacteristic
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2511yescharacteristic
1749C22×C4C2512yes—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—22no—
1760C4⋊C4—24no—
1761C4⋊C4—22no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—41no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—41no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—41no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—41no—
1835C4⋊C4—41no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C42−1+414yes—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C42—22no—
1935C42—22no—
1936C42—24no—
1937C42—24no—
1938C42—24no—
1939C42—24no—
1940C42—24no—
1941C42—41no—
1942C42—41no—
1943C42—42no—
1944C42—42no—
1945C42—42no—
1946C42—42no—
1947C42—42no—
1948C42—42no—
1949C42—42no—
1950C42—42no—
1951C42—42no—
1952C42—42no—
1953C42—42no—
1954C42—42no—
1955C42—42no—
1956C42—42no—
1957C42—42no—
1958C23—21no—
1959C23—21no—
1960C23—21no—
1961C23—21no—
1962C23—21no—
1963C23—21no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23—22no—
1983C23—22no—
1984C23—22no—
1985C23—22no—
1986C23—22no—
1987C23—22no—
1988C23—22no—
1989C23—22no—
1990C23—22no—
1991C23—22no—
1992C23C2×H(5,𝔽2)12yes—
1993C23C2611yescharacteristic
1994Q8—44no—
1995Q8—84no—
1996Q8—84no—
1997Q8—82no—
1998Q8—84no—
1999Q8—161no—
2000Q8—162no—
2001Q8—161no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—82no—
2006D4—84no—
2007D4—84no—
2008D4—84no—
2009D4—84no—
2010D4—84no—
2011D4—84no—
2012D4—84no—
2013D4—84no—
2014D4—84no—
2015D4—162no—
2016D4—162no—
2017D4—162no—
2018D4—161no—
2019D4—161no—
2020D4—161no—
2021D4—162no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—21no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—21no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—21no—
2105C2×C4—21no—
2106C2×C4—22no—
2107C2×C4—44no—
2108C2×C4—44no—
2109C2×C4—82no—
2110C2×C4—84no—
2111C2×C4—84no—
2112C2×C4—82no—
2113C2×C4—84no—
2114C2×C4—82no—
2115C2×C4—84no—
2116C2×C4—84no—
2117C2×C4—84no—
2118C2×C4—161no—
2119C2×C4—162no—
2120C2×C4—161no—
2121C2×C4—162no—
2122C2×C4—162no—
2123C2×C4—162no—
2124C2×C4—162no—
2125C2×C4—162no—
2126C2×C4C2×H(5,𝔽2)12yes—
2127C2×C4C2×H(5,𝔽2)14yes—
2128C2×C4C2×H(5,𝔽2)14yes—
2129C2×C4C2×2−1+414yes—
2130C2×C4C2×2−1+412yes—
2131C22—22no—
2132C22—22no—
2133C22—22no—
2134C22—41no—
2135C22—41no—
2136C22—41no—
2137C22—41no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—42no—
2159C22—42no—
2160C22—42no—
2161C22—42no—
2162C22—42no—
2163C22—42no—
2164C22—42no—
2165C22—42no—
2166C22C22×H(5,𝔽2)11yescharacteristic
2167C22C22×H(5,𝔽2)11yescharacteristic
2168C22C22×2−1+411yescharacteristic
2169C22H(7,𝔽2)11yescharacteristic
2170C22H(7,𝔽2)11yescharacteristic
2171C222−1+611yescharacteristic
2172C222−1+611yescharacteristic
2173C4—24no—
2174C4—22no—
2175C4—24no—
2176C4—24no—
2177C4—22no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—41no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—42no—
2191C4—42no—
2192C4—41no—
2193C4—41no—
2194C4—42no—
2195C4—42no—
2196C4—42no—
2197C4—42no—
2198C4—41no—
2199C4—42no—
2200C4—42no—
2201C4—42no—
2202C4—42no—
2203C2—42no—
2204C2—82no—
2205C2—82no—
2206C2—82no—
2207C2—82no—
2208C2#6286611yescharacteristic
2209C2#6287411yescharacteristic
2210C2#6289511yescharacteristic
2211C2#6291711yescharacteristic
2212C2#6294611yescharacteristic
2213C2#6297711yescharacteristic
2214C2#6305811yescharacteristic
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. #58933C2semidirect
2. #58602C2semidirect
3. #57469C2semidirect
4. #57314C2semidirect
5. #57206C2semidirect
6. #56487C2semidirect
7. #55783C2semidirect
8. #55698C2semidirect
9. #55027C2semidirect
10. #54194C2semidirect
11. #53690C2semidirect
12. #53541C2semidirect
13. #53365C2semidirect
14. #53195C2semidirect
15. #51323C2semidirect
16. #49580C2semidirect
17. #49565C2semidirect
18. #49390C2semidirect
19. #47870C2semidirect
20. #47863C2semidirect
21. #47123C2semidirect
22. #46553C2semidirect
23. #46443C2semidirect
24. #46345C2semidirect
25. #46133C2semidirect
26. #40272C2semidirect
27. #39679C2semidirect
28. #39662C2semidirect
29. #39424C2semidirect
30. #39137C2semidirect
31. #37755C2semidirect
32. #37167C2semidirect
33. #37131C2semidirect
34. #37093C2semidirect
35. #36741C2semidirect

Maximal subgroups

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

subgroupindex
#589332
#586022
#574692
#573142
#572062
#564872
#557832
#556982
#550272
#541942
#536902
#535412
#533652
#531952
#513232
#495802
#495652
#493902
#478702
#478632
#471232
#465532
#464432
#463452
#461332
#402722
#396792
#396622
#394242
#391372
#377552
#371672
#371312
#370932
#367412