Finite Group Databasebeta

← #9523602

Subgroups — #9523602

Order 512.

4455 conjugacy classes of subgroups.

The subgroup lattice has 2183 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58028C212yesmaximal, complemented
2#57109C212yesmaximal, complemented
3#56526C212yesmaximal, complemented
4#56454C212yesmaximal, complemented
5#56284C212yesmaximal, complemented
6#55859C212yesmaximal, complemented
7#55838C212yesmaximal, complemented
8#55368C212yesmaximal, complemented
9#55287C212yesmaximal, complemented
10#55236C212yesmaximal, complemented
11#54912C212yesmaximal, complemented
12#54873C212yesmaximal, complemented
13#53204C211yesmaximal, characteristic, complemented
14#52729C212yesmaximal, complemented
15#51913C212yesmaximal, complemented
16#51746C212yesmaximal, complemented
17#50612C212yesmaximal, complemented
18#48746C212yesmaximal, complemented
19#48558C212yesmaximal, complemented
20#47223C212yesmaximal, complemented
21#46369C212yesmaximal, complemented
22#45972C211yesmaximal, characteristic, complemented
23#43808C212yesmaximal, complemented
24#43567C212yesmaximal, complemented
25#43144C212yesmaximal, complemented
26#42960C212yesmaximal, complemented
27#42786C212yesmaximal, complemented
28#42093C212yesmaximal, complemented
29#41643C212yesmaximal, complemented
30#40951C212yesmaximal, complemented
31#39806C211yesmaximal, characteristic, complemented
32#39124C211yesmaximal, characteristic, complemented
33#37771C211yesmaximal, characteristic, complemented
34#37218C211yesmaximal, characteristic, complemented
35#36752C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C2×#536C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2854C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2837C2212yes—
46#2837C2212yes—
47#2837C2212yes—
48#2836C2212yes—
49#2832C2212yes—
50#2831C2212yes—
51#2831C2212yes—
52#2830C2212yes—
53#2830C2212yes—
54#2829C2212yes—
55#2828C2212yes—
56#2827C2212yes—
57#2822C2211yescharacteristic
58#2820C2212yes—
59#2820C2211yescharacteristic
60#2815C2212yes—
61#2814C2212yes—
62#2814C2212yes—
63#2814C2212yes—
64#2813C2212yes—
65#2809C2211yescharacteristic
66#2808C2211yescharacteristic
67#2806C2212yes—
68#2805C2212yes—
69#2805C2212yes—
70#2802C2212yes—
71#2798C2212yes—
72#2797C2212yes—
73#2797C2212yes—
74#2797C2212yes—
75#2797C2212yes—
76#2793C2212yes—
77#2793C2212yes—
78#2792C2212yes—
79#2791C2212yes—
80#2791C2212yes—
81#2784C2212yes—
82#2784C2212yes—
83#2783C2212yes—
84#2783C2212yes—
85#2781C2212yes—
86#2780C2212yes—
87#2780C2212yes—
88#2773C2212yes—
89#2773C2212yes—
90#2772C2212yes—
91#2772C2212yes—
92#2767C2212yes—
93#2767C2212yes—
94#2767C2212yes—
95#2763C2212yes—
96#2761C2212yes—
97#2761C2212yes—
98#2755C2212yes—
99#2755C2212yes—
100#2755C2212yes—
101#2754C2212yes—
102#2754C2212yes—
103#2754C2212yes—
104#2754C2212yes—
105#2752C2212yes—
106#2752C2212yes—
107#2748C2212yes—
108#2748C2212yes—
109#2748C2212yes—
110#2747C2212yes—
111#2747C2212yes—
112#2744C2212yes—
113#2741C2212yes—
114#2740C2212yes—
115#2734C2212yes—
116#2734C2212yes—
117#2732C2212yes—
118#2732C2212yes—
119#2731C2212yes—
120#2731C2212yes—
121#2730C2212yes—
122#2730C2212yes—
123#2730C2212yes—
124#2730C2212yes—
125#2729C2212yes—
126#2729C2212yes—
127#2728C2212yes—
128#2727C2211yescharacteristic
129#2727C2211yescharacteristic
130#2726C2211yescharacteristic
131#2723C2212yes—
132#2723C2212yes—
133#2721C2212yes—
134#2721C2212yes—
135#2721C2212yes—
136#2720C2212yes—
137#2717C2212yes—
138#2716C2212yes—
139#2715C2212yes—
140#2714C2212yes—
141#2714C2212yes—
142#2713C2212yes—
143#2713C2212yes—
144#2712C2212yes—
145#2711C2212yes—
146#2708C2212yes—
147#2708C2212yes—
148#2707C2212yes—
149#2706C2212yes—
150#2706C2212yes—
151#2706C2212yes—
152#2706C2212yes—
153#2706C2212yes—
154#2705C2212yes—
155#2705C2212yes—
156#2705C2212yes—
157#2705C2212yes—
158#2705C2212yes—
159#2705C2212yes—
160#2703C2212yes—
161#2703C2212yes—
162#2698C2212yes—
163#2698C2212yes—
164#2696C2212yes—
165#2696C2212yes—
166#2696C2212yes—
167#2696C2212yes—
168#2696C2212yes—
169#2696C2212yes—
170#2695C2212yes—
171#2695C2212yes—
172#2695C2212yes—
173#2693C2212yes—
174#2693C2212yes—
175#2693C2212yes—
176#2692C2212yes—
177#2692C2212yes—
178#2692C2212yes—
179#2692C2212yes—
180#2692C2212yes—
181#2691C2212yes—
182#2688C2212yes—
183#2688C2212yes—
184#2686C2212yes—
185#2683C2211yescharacteristic
186#2682C2211yescharacteristic
187#2682C2211yescharacteristic
188#2681C2212yes—
189#2681C2212yes—
190#2680C2212yes—
191#2676C2212yes—
192#2676C2212yes—
193#2676C2212yes—
194#2676C2212yes—
195#2674C2212yes—
196#2673C2212yes—
197#2673C2212yes—
198#2672C2212yes—
199#2672C2212yes—
200#2671C2212yes—
201#2667C2212yes—
202#2663C2212yes—
203#2663C2212yes—
204#2663C2212yes—
205#2661C2212yes—
206#2661C2212yes—
207#2659C2211yescharacteristic
208#2656C2211yescharacteristic
209#2656C2211yescharacteristic
210#2651C2212yes—
211#2650C2212yes—
212#2649C2212yes—
213#2649C2212yes—
214#2649C2212yes—
215#2646C2211yescharacteristic
216#2639C2211yescharacteristic
217#2639C2212yes—
218#2637C2212yes—
219#2636C2212yes—
220#2635C2212yes—
221#2630C2212yes—
222#2630C2212yes—
223#2630C2212yes—
224#2628C2212yes—
225#2620C2212yes—
226#2619C2212yes—
227#2618C2212yes—
228#2618C2211yescharacteristic
229#2616C2212yes—
230#2609C2212yes—
231#2607C2212yes—
232#2602C2212yes—
233#2602C2212yes—
234#2601C2212yes—
235#2590C2212yes—
236#2589C2212yes—
237#2588C2212yes—
238#2587C2212yes—
239#2580C2212yes—
240#2580C2212yes—
241#2575C2212yes—
242#2575C2212yes—
243#2574C2212yes—
244#2574C2212yes—
245#2574C2212yes—
246#2571C2212yes—
247#2570C2212yes—
248#2569C2212yes—
249#2564C2212yes—
250#2563C2212yes—
251#2558C2212yes—
252#2557C2212yes—
253#2557C2212yes—
254#2557C2212yes—
255#2557C2212yes—
256#2557C2212yes—
257#2557C2212yes—
258#2556C2212yes—
259#2555C2212yes—
260#2553C2212yes—
261#2553C2212yes—
262#2553C2212yes—
263#2553C2212yes—
264#2547C2211yescharacteristic
265#2540C2212yes—
266#2538C2212yes—
267#2537C2211yescharacteristic
268#2536C2212yes—
269#2535C2212yes—
270#2522C2212yes—
271#2522C2212yes—
272#2521C2212yes—
273#2521C2212yes—
274#2520C2212yes—
275#2520C2212yes—
276#2517C2212yes—
277#2517C2212yes—
278#2517C2212yes—
279#2517C2212yes—
280#2516C2212yes—
281#2513C2212yes—
282#2512C2212yes—
283#2504C2212yes—
284#2501C2212yes—
285#2499C2212yes—
286#2499C2212yes—
287#2492C2212yes—
288#2491C2212yes—
289#2489C2212yes—
290#2485C2212yes—
291#2481C2212yes—
292#2478C2212yes—
293#2478C2212yes—
294#2477C2212yes—
295#2475C2212yes—
296#2471C2212yes—
297#2471C2212yes—
298#2471C2212yes—
299#2471C2212yes—
300#2471C2212yes—
301#2471C2212yes—
302#2470C2212yes—
303#2467C2212yes—
304#2467C2212yes—
305#2465C2212yes—
306#2465C2212yes—
307#2464C2212yes—
308#2464C2212yes—
309#2464C2212yes—
310#2464C2212yes—
311#2462C2212yes—
312#2458C2212yes—
313#2456C2212yes—
314#2456C2212yes—
315#2454C2212yes—
316#2452C2212yes—
317#2450C2212yes—
318#2450C2212yes—
319#2450C2212yes—
320#2449C2212yes—
321#2445C2212yes—
322#2445C2212yes—
323#2444C2212yes—
324#2443C2212yes—
325#2443C2212yes—
326#2441C2212yes—
327#2440C2212yes—
328#2438C2212yes—
329#2438C2212yes—
330#2438C2212yes—
331#2436C2212yes—
332#2431C2212yes—
333#2430C2212yes—
334#2430C2212yes—
335#2429C2212yes—
336#2429C2212yes—
337#2428C2212yes—
338#2425C2212yes—
339#2425C2212yes—
340#2425C2212yes—
341#2423C2212yes—
342#2422C2212yes—
343#2421C2212yes—
344#2419C2212yes—
345#2417C2212yes—
346#2414C2212yes—
347#2413C2212yes—
348#2409C2212yes—
349#2409C2212yes—
350#2409C2212yes—
351#2407C2212yes—
352#2396C2212yes—
353#2395C2212yes—
354#2388C2212yes—
355#2379C2211yescharacteristic
356#2376C2212yes—
357#2368C2212yes—
358#2368C2212yes—
359#2364C2212yes—
360#2364C2212yes—
361#2363C2212yes—
362#2363C2212yes—
363#2359C2212yes—
364#2355C2211yescharacteristic
365#2345C2212yes—
366Q8×C22⋊C4C2212yes—
367#2334C2212yes—
368#2333C2212yes—
369#2333C2212yes—
370#2329C2212yes—
371#2329C2211yescharacteristic
372#2329C2211yescharacteristic
373#2325C2211yescharacteristic
374#2324C2212yes—
375#2316C2211yescharacteristic
376#2313C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#562—44no—
382D4×Q8—44no—
383#539—44no—
384#536—48no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#127C2312yes—
390#529—44no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2311yescharacteristic
398C2×#125C2311yescharacteristic
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#124C2311yescharacteristic
402C2×#124C2311yescharacteristic
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
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×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2311yescharacteristic
483C22×C42C2311yescharacteristic
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
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#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
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#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
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#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
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#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2311yescharacteristic
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2311yescharacteristic
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2311yescharacteristic
767#390C2311yescharacteristic
768#390C2311yescharacteristic
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#390C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2311yescharacteristic
804#389C2311yescharacteristic
805#389C2312yes—
806#389C2311yescharacteristic
807#389C2311yescharacteristic
808#389C2311yescharacteristic
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
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#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
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#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
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#385C2312yes—
986#385C2312yes—
987#385C2312yes—
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#384C2312yes—
1020#384C2312yes—
1021#384C2311yescharacteristic
1022#384C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2311yescharacteristic
1027#382C2311yescharacteristic
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#380C2311yescharacteristic
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2311yescharacteristic
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊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—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2311yescharacteristic
1103C2×#41—44no—
1104C2×#41—82no—
1105C2×#41—82no—
1106C22×Q8—28no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×D4C2411yescharacteristic
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2411yescharacteristic
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2411yescharacteristic
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2411yescharacteristic
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2411yescharacteristic
1155C4⋊Q8—42no—
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158C4⋊Q8—44no—
1159#127—82no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#126—82no—
1164#126—82no—
1165#126—82no—
1166#125—42no—
1167#125—42no—
1168#125—44no—
1169#125—82no—
1170#124—24no—
1171#124—42no—
1172#124—44no—
1173#124—44no—
1174#124—82no—
1175#124—82no—
1176#124—82no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—82no—
1189#123—82no—
1190#123—82no—
1191#123—82no—
1192#123—82no—
1193#123—82no—
1194#123—82no—
1195C22⋊Q8—24no—
1196C22⋊Q8—28no—
1197C22⋊Q8—28no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—42no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—82no—
1207C22⋊Q8—82no—
1208C22⋊Q8—82no—
1209C22⋊Q8—82no—
1210C22⋊Q8—82no—
1211C22⋊Q8—82no—
1212C22⋊Q8—82no—
1213#121—28no—
1214#121—28no—
1215#121—42no—
1216#121—42no—
1217#121—44no—
1218#121—44no—
1219#121—44no—
1220#121—42no—
1221#121—42no—
1222#121—82no—
1223#121—82no—
1224#121—82no—
1225#121—82no—
1226#121—82no—
1227#121—82no—
1228#121—82no—
1229#121—82no—
1230C4×Q8—24no—
1231C4×Q8—82no—
1232C4×Q8—82no—
1233C4×D4—44no—
1234C4×D4—42no—
1235C4×D4—42no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242C4×D4—82no—
1243C4×D4—82no—
1244#117—44no—
1245#117—44no—
1246#117—82no—
1247#117—82no—
1248#117—82no—
1249C2×C4⋊C4—24no—
1250C2×C4⋊C4—44no—
1251C2×C4⋊C4—42no—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
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×C42—42no—
1430C2×C42C2412yes—
1431C2×C42C2411yescharacteristic
1432C2×C42C2411yescharacteristic
1433C2×C42C2412yes—
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2411yescharacteristic
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
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—
1550C24C2512yes—
1551C24C2512yes—
1552C24C2512yes—
1553C24C2512yes—
1554C24C2511yescharacteristic
1555#41—816no—
1556C2×Q8—24no—
1557C2×Q8—24no—
1558C2×Q8—24no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—41no—
1576C2×Q8—816no—
1577C2×Q8H(5,𝔽2)14yes—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—22no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—41no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—41no—
1621C2×D4—42no—
1622C2×D4—41no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—41no—
1626C2×D4—41no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—41no—
1637C2×D4—42no—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—24no—
1641C22×C4—22no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—22no—
1648C22×C4—41no—
1649C22×C4—41no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—41no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—41no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—41no—
1674C22×C4—42no—
1675C22×C4—41no—
1676C22×C4—42no—
1677C22×C4—41no—
1678C22×C4—42no—
1679C22×C4—41no—
1680C22×C4—42no—
1681C22×C4—41no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—41no—
1686C22×C4—41no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—41no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C42−1+414yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2511yescharacteristic
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C22×C4C2511yescharacteristic
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2511yescharacteristic
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—22no—
1731C4⋊C4—22no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—22no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—41no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—41no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—41no—
1781C4⋊C4—41no—
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—41no—
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—41no—
1801C4⋊C4—41no—
1802C4⋊C4—42no—
1803C4⋊C4—41no—
1804C4⋊C4—41no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—41no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
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—
1902C42—22no—
1903C42—22no—
1904C42—24no—
1905C42—41no—
1906C42—41no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C23—21no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
1930C23—21no—
1931C23—21no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23C2×2−1+412yes—
1961C23C2611yescharacteristic
1962Q8—44no—
1963Q8—48no—
1964Q8—84no—
1965Q8—84no—
1966Q8—84no—
1967Q8—162no—
1968Q8—161no—
1969D4—44no—
1970D4—82no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975D4—84no—
1976D4—84no—
1977D4—84no—
1978D4—84no—
1979D4—84no—
1980D4—84no—
1981D4—84no—
1982D4—162no—
1983D4—162no—
1984D4—162no—
1985D4—161no—
1986D4—161no—
1987D4—162no—
1988D4—162no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—22no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—21no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
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—21no—
2056C2×C4—21no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—21no—
2063C2×C4—21no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—44no—
2076C2×C4—48no—
2077C2×C4—82no—
2078C2×C4—84no—
2079C2×C4—82no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—82no—
2085C2×C4—82no—
2086C2×C4—84no—
2087C2×C4—84no—
2088C2×C4—84no—
2089C2×C4—162no—
2090C2×C4—161no—
2091C2×C4—162no—
2092C2×C4—162no—
2093C2×C4—161no—
2094C2×C4C2×H(5,𝔽2)12yes—
2095C2×C4C2×H(5,𝔽2)14yes—
2096C2×C4C2×2−1+414yes—
2097C2×C4#58512yes—
2098C22—22no—
2099C22—22no—
2100C22—22no—
2101C22—41no—
2102C22—41no—
2103C22—41no—
2104C22—41no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22C22×H(5,𝔽2)11yescharacteristic
2134C22C22×2−1+411yescharacteristic
2135C22C2×#58511yescharacteristic
2136C22H(7,𝔽2)11yescharacteristic
2137C22H(7,𝔽2)11yescharacteristic
2138C22H(7,𝔽2)11yescharacteristic
2139C222−1+611yescharacteristic
2140C4—24no—
2141C4—22no—
2142C4—24no—
2143C4—22no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—41no—
2153C4—42no—
2154C4—42no—
2155C4—41no—
2156C4—41no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—41no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C2—42no—
2171C2—82no—
2172C2—82no—
2173C2—82no—
2174C2—82no—
2175C2#6286211yescharacteristic
2176C2#6286511yescharacteristic
2177C2#6291711yescharacteristic
2178C2#6291911yescharacteristic
2179C2#6296211yescharacteristic
2180C2#6297511yescharacteristic
2181C2#6305111yescharacteristic
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. #58028C2semidirect
2. #57109C2semidirect
3. #56526C2semidirect
4. #56454C2semidirect
5. #56284C2semidirect
6. #55859C2semidirect
7. #55838C2semidirect
8. #55368C2semidirect
9. #55287C2semidirect
10. #55236C2semidirect
11. #54912C2semidirect
12. #54873C2semidirect
13. #53204C2semidirect
14. #52729C2semidirect
15. #51913C2semidirect
16. #51746C2semidirect
17. #50612C2semidirect
18. #48746C2semidirect
19. #48558C2semidirect
20. #47223C2semidirect
21. #46369C2semidirect
22. #45972C2semidirect
23. #43808C2semidirect
24. #43567C2semidirect
25. #43144C2semidirect
26. #42960C2semidirect
27. #42786C2semidirect
28. #42093C2semidirect
29. #41643C2semidirect
30. #40951C2semidirect
31. #39806C2semidirect
32. #39124C2semidirect
33. #37771C2semidirect
34. #37218C2semidirect
35. #36752C2semidirect

Maximal subgroups

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

subgroupindex
#580282
#571092
#565262
#564542
#562842
#558592
#558382
#553682
#552872
#552362
#549122
#548732
#532042
#527292
#519132
#517462
#506122
#487462
#485582
#472232
#463692
#459722
#438082
#435672
#431442
#429602
#427862
#420932
#416432
#409512
#398062
#391242
#377712
#372182
#367522