Finite Group Databasebeta

← #9515213

Subgroups — #9515213

Order 512.

4397 conjugacy classes of subgroups.

The subgroup lattice has 2179 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58281C212yesmaximal, complemented
2#58030C212yesmaximal, complemented
3#57526C212yesmaximal, complemented
4#57249C212yesmaximal, complemented
5#57094C212yesmaximal, complemented
6#55287C212yesmaximal, complemented
7#55208C212yesmaximal, complemented
8#54941C212yesmaximal, complemented
9#54940C212yesmaximal, complemented
10#53885C212yesmaximal, complemented
11#53698C212yesmaximal, complemented
12#53466C212yesmaximal, complemented
13#53191C211yesmaximal, characteristic, complemented
14#52523C212yesmaximal, complemented
15#51876C212yesmaximal, complemented
16#51608C212yesmaximal, complemented
17#50778C212yesmaximal, complemented
18#50745C212yesmaximal, complemented
19#47863C212yesmaximal, complemented
20#46856C212yesmaximal, complemented
21#46833C212yesmaximal, complemented
22#45972C211yesmaximal, characteristic, complemented
23#43571C212yesmaximal, complemented
24#43570C212yesmaximal, complemented
25#43506C212yesmaximal, complemented
26#42960C212yesmaximal, complemented
27#42836C212yesmaximal, complemented
28#42125C212yesmaximal, complemented
29#41643C212yesmaximal, complemented
30#41643C212yesmaximal, complemented
31#39806C211yesmaximal, characteristic, complemented
32#39136C211yesmaximal, characteristic, complemented
33#37771C211yesmaximal, characteristic, complemented
34#37155C211yesmaximal, characteristic, complemented
35#36751C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C2×#539C2212yes—
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2854C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2841C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2837C2212yes—
49#2837C2212yes—
50#2837C2212yes—
51#2837C2212yes—
52#2837C2212yes—
53#2837C2212yes—
54#2837C2212yes—
55#2836C2212yes—
56#2836C2212yes—
57#2830C2212yes—
58#2827C2212yes—
59#2822C2211yescharacteristic
60#2820C2211yescharacteristic
61#2816C2212yes—
62#2815C2212yes—
63#2814C2212yes—
64#2813C2212yes—
65#2810C2211yescharacteristic
66#2807C2212yes—
67#2806C2212yes—
68#2805C2212yes—
69#2805C2211yescharacteristic
70#2802C2212yes—
71#2802C2212yes—
72#2797C2212yes—
73#2793C2212yes—
74#2793C2212yes—
75#2792C2212yes—
76#2792C2212yes—
77#2791C2212yes—
78#2788C2212yes—
79#2784C2212yes—
80#2784C2212yes—
81#2784C2212yes—
82#2780C2212yes—
83#2780C2212yes—
84#2780C2212yes—
85#2780C2212yes—
86#2774C2212yes—
87#2774C2212yes—
88#2773C2212yes—
89#2773C2212yes—
90#2773C2212yes—
91#2773C2212yes—
92#2773C2212yes—
93#2772C2212yes—
94#2755C2212yes—
95#2754C2212yes—
96#2752C2212yes—
97#2752C2212yes—
98#2752C2212yes—
99#2752C2212yes—
100#2752C2212yes—
101#2751C2212yes—
102#2750C2212yes—
103#2748C2212yes—
104#2744C2212yes—
105#2743C2212yes—
106#2743C2212yes—
107#2741C2212yes—
108#2739C2212yes—
109#2739C2212yes—
110#2739C2212yes—
111#2732C2212yes—
112#2732C2212yes—
113#2732C2212yes—
114#2732C2211yescharacteristic
115#2731C2212yes—
116#2730C2212yes—
117#2730C2212yes—
118#2730C2212yes—
119#2730C2212yes—
120#2728C2212yes—
121#2728C2212yes—
122#2727C2211yescharacteristic
123#2727C2212yes—
124#2727C2212yes—
125#2726C2212yes—
126#2725C2212yes—
127#2724C2211yescharacteristic
128#2723C2212yes—
129#2721C2212yes—
130#2721C2212yes—
131#2721C2212yes—
132#2719C2212yes—
133#2718C2212yes—
134#2718C2212yes—
135#2718C2212yes—
136#2715C2212yes—
137#2713C2212yes—
138#2711C2212yes—
139#2708C2212yes—
140#2707C2212yes—
141#2707C2212yes—
142#2706C2212yes—
143#2706C2212yes—
144#2706C2212yes—
145#2705C2212yes—
146#2705C2212yes—
147#2705C2212yes—
148#2705C2212yes—
149#2705C2212yes—
150#2705C2212yes—
151#2705C2212yes—
152#2705C2212yes—
153#2703C2212yes—
154#2703C2212yes—
155#2702C2212yes—
156#2701C2212yes—
157#2698C2212yes—
158#2696C2212yes—
159#2696C2212yes—
160#2696C2212yes—
161#2695C2212yes—
162#2693C2212yes—
163#2693C2212yes—
164#2693C2212yes—
165#2693C2212yes—
166#2693C2212yes—
167#2692C2212yes—
168#2692C2212yes—
169#2691C2212yes—
170#2691C2212yes—
171#2691C2212yes—
172#2689C2212yes—
173#2689C2212yes—
174#2688C2212yes—
175#2688C2212yes—
176#2688C2212yes—
177#2688C2212yes—
178#2686C2212yes—
179#2683C2211yescharacteristic
180#2683C2212yes—
181#2683C2212yes—
182#2682C2211yescharacteristic
183#2682C2211yescharacteristic
184#2681C2212yes—
185#2681C2212yes—
186#2681C2212yes—
187#2676C2212yes—
188#2676C2212yes—
189#2674C2212yes—
190#2674C2212yes—
191#2673C2212yes—
192#2673C2212yes—
193#2672C2212yes—
194#2672C2212yes—
195#2672C2212yes—
196#2672C2212yes—
197#2672C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2671C2212yes—
201#2667C2212yes—
202#2663C2212yes—
203#2663C2212yes—
204#2663C2212yes—
205#2663C2212yes—
206#2662C2212yes—
207#2661C2212yes—
208#2661C2212yes—
209#2659C2211yescharacteristic
210#2656C2211yescharacteristic
211#2656C2211yescharacteristic
212#2654C2212yes—
213#2654C2212yes—
214#2652C2212yes—
215#2650C2212yes—
216#2650C2212yes—
217#2649C2212yes—
218#2649C2212yes—
219#2646C2211yescharacteristic
220#2639C2211yescharacteristic
221#2636C2212yes—
222#2635C2212yes—
223#2635C2212yes—
224#2628C2212yes—
225#2627C2212yes—
226#2620C2212yes—
227#2619C2212yes—
228#2618C2211yescharacteristic
229#2618C2212yes—
230#2608C2212yes—
231#2602C2212yes—
232#2602C2212yes—
233#2602C2212yes—
234#2590C2212yes—
235#2590C2212yes—
236#2589C2212yes—
237#2587C2212yes—
238#2587C2212yes—
239#2585C2212yes—
240#2585C2212yes—
241#2580C2212yes—
242#2579C2212yes—
243#2579C2212yes—
244#2575C2212yes—
245#2575C2212yes—
246#2575C2212yes—
247#2575C2212yes—
248#2575C2212yes—
249#2571C2212yes—
250#2570C2212yes—
251#2564C2212yes—
252#2557C2212yes—
253#2557C2212yes—
254#2557C2212yes—
255#2556C2212yes—
256#2555C2212yes—
257#2555C2212yes—
258#2554C2212yes—
259#2554C2212yes—
260#2553C2212yes—
261#2553C2212yes—
262#2549C2212yes—
263#2542C2211yescharacteristic
264#2540C2212yes—
265#2540C2212yes—
266#2538C2212yes—
267#2538C2212yes—
268#2538C2212yes—
269#2537C2211yescharacteristic
270#2536C2212yes—
271#2522C2212yes—
272#2522C2212yes—
273#2522C2212yes—
274#2519C2212yes—
275#2519C2212yes—
276#2517C2212yes—
277#2516C2212yes—
278#2516C2212yes—
279#2513C2212yes—
280#2512C2212yes—
281#2509C2212yes—
282#2504C2212yes—
283#2501C2212yes—
284#2498C2212yes—
285#2497C2212yes—
286#2496C2212yes—
287#2496C2212yes—
288#2488C2212yes—
289#2486C2212yes—
290#2481C2212yes—
291#2475C2212yes—
292#2474C2212yes—
293#2471C2212yes—
294#2471C2212yes—
295#2471C2212yes—
296#2470C2212yes—
297#2469C2212yes—
298#2468C2212yes—
299#2467C2212yes—
300#2467C2212yes—
301#2467C2212yes—
302#2465C2212yes—
303#2465C2212yes—
304#2464C2212yes—
305#2464C2212yes—
306#2464C2212yes—
307#2464C2212yes—
308#2462C2212yes—
309#2460C2212yes—
310#2457C2212yes—
311#2457C2212yes—
312#2456C2212yes—
313#2456C2212yes—
314#2455C2212yes—
315#2454C2212yes—
316#2452C2212yes—
317#2451C2212yes—
318#2450C2212yes—
319#2449C2212yes—
320#2449C2212yes—
321#2449C2212yes—
322#2447C2212yes—
323#2445C2212yes—
324#2445C2212yes—
325#2444C2212yes—
326#2443C2212yes—
327#2443C2212yes—
328#2443C2212yes—
329#2442C2212yes—
330#2441C2212yes—
331#2441C2212yes—
332#2440C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2429C2212yes—
336#2428C2212yes—
337#2428C2212yes—
338#2426C2212yes—
339#2425C2212yes—
340#2425C2212yes—
341#2425C2212yes—
342#2423C2212yes—
343#2423C2212yes—
344#2421C2212yes—
345#2417C2212yes—
346#2416C2212yes—
347#2416C2212yes—
348#2414C2212yes—
349#2414C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2396C2212yes—
353#2395C2212yes—
354#2395C2212yes—
355#2379C2211yescharacteristic
356#2376C2212yes—
357#2368C2212yes—
358#2367C2212yes—
359#2364C2212yes—
360#2364C2212yes—
361#2363C2212yes—
362#2363C2212yes—
363#2360C2212yes—
364#2360C2212yes—
365Q8×C4⋊C4C2211yescharacteristic
366#2345C2212yes—
367#2333C2212yes—
368#2333C2212yes—
369#2329C2211yescharacteristic
370#2329C2211yescharacteristic
371#2325C2212yes—
372#2325C2211yescharacteristic
373#2323C2212yes—
374#2323C2212yes—
375#2316C2211yescharacteristic
376#2313C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380#556—44no—
381#539—44no—
382#539—48no—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×#127C2312yes—
386#529—44no—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#124C2311yescharacteristic
401C2×#124C2311yescharacteristic
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
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×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
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×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C42C2311yescharacteristic
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#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
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#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#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#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
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#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#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
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#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
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#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2311yescharacteristic
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2311yescharacteristic
755#390C2311yescharacteristic
756#390C2311yescharacteristic
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2311yescharacteristic
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2311yescharacteristic
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#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2311yescharacteristic
805#389C2311yescharacteristic
806#389C2311yescharacteristic
807#389C2311yescharacteristic
808#389C2312yes—
809#389C2312yes—
810#389C2311yescharacteristic
811#389C2311yescharacteristic
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#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#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#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#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
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#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#385C2312yes—
1020#385C2312yes—
1021#384C2312yes—
1022#384C2312yes—
1023#384C2311yescharacteristic
1024#384C2312yes—
1025#384C2312yes—
1026#382C2311yescharacteristic
1027#382C2311yescharacteristic
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2311yescharacteristic
1045#380C2311yescharacteristic
1046#380C2311yescharacteristic
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊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—
1097C4×C22⋊C4C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×D4C2411yescharacteristic
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2411yescharacteristic
1147C4⋊Q8—42no—
1148C4⋊Q8—82no—
1149#127—82no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—82no—
1157#126—82no—
1158#125—42no—
1159#125—42no—
1160#125—44no—
1161#125—44no—
1162#125—44no—
1163#124—24no—
1164#124—44no—
1165#124—42no—
1166#124—44no—
1167#124—82no—
1168#124—82no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185#123—82no—
1186#123—82no—
1187C22⋊Q8—24no—
1188C22⋊Q8—28no—
1189C22⋊Q8—28no—
1190C22⋊Q8—28no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—42no—
1194C22⋊Q8—44no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205#121—28no—
1206#121—28no—
1207#121—42no—
1208#121—42no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—44no—
1213#121—42no—
1214#121—42no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220#121—82no—
1221#121—82no—
1222#121—82no—
1223#121—82no—
1224#121—82no—
1225C4×Q8—24no—
1226C4×Q8—44no—
1227C4×Q8—82no—
1228C4×Q8—82no—
1229C4×D4—44no—
1230C4×D4—42no—
1231C4×D4—42no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—82no—
1236C4×D4—82no—
1237C4×D4—82no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241#117—44no—
1242#117—44no—
1243#117—82no—
1244#117—82no—
1245C2×C4⋊C4—24no—
1246C2×C4⋊C4—44no—
1247C2×C4⋊C4—44no—
1248C2×C4⋊C4—42no—
1249C2×C4⋊C4—82no—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C42—42no—
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2411yescharacteristic
1437C2×C42C2411yescharacteristic
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×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2412yes—
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
1555C2×Q8—24no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—41no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8H(5,𝔽2)14yes—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—22no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—22no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—41no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—41no—
1593C2×D4—41no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—41no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4—41no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—41no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—41no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—41no—
1626C2×D4—41no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—24no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—22no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—41no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—41no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—41no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—41no—
1675C22×C4—41no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—41no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—41no—
1686C22×C42−1+414yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C22×C4C2511yescharacteristic
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2511yescharacteristic
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—22no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—22no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—22no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—41no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
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—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—41no—
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—41no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
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—41no—
1811C4⋊C4—41no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
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—
1900C42—22no—
1901C42—22no—
1902C42—24no—
1903C42—41no—
1904C42—41no—
1905C42—42no—
1906C42—42no—
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—
1924C23—21no—
1925C23—21no—
1926C23—21no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
1930C23—22no—
1931C23—22no—
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—
1958C23C2×2−1+412yes—
1959C23C2611yescharacteristic
1960Q8—44no—
1961Q8—84no—
1962Q8—84no—
1963Q8—162no—
1964Q8—161no—
1965D4—84no—
1966D4—84no—
1967D4—82no—
1968D4—82no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975D4—84no—
1976D4—84no—
1977D4—162no—
1978D4—162no—
1979D4—162no—
1980D4—162no—
1981D4—162no—
1982D4—161no—
1983D4—161no—
1984D4—162no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—22no—
2002C2×C4—22no—
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—21no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
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—21no—
2049C2×C4—21no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—21no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—44no—
2072C2×C4—84no—
2073C2×C4—82no—
2074C2×C4—84no—
2075C2×C4—84no—
2076C2×C4—84no—
2077C2×C4—82no—
2078C2×C4—82no—
2079C2×C4—82no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—161no—
2083C2×C4—162no—
2084C2×C4—162no—
2085C2×C4—162no—
2086C2×C4—162no—
2087C2×C4—162no—
2088C2×C4—161no—
2089C2×C4—162no—
2090C2×C4C2×H(5,𝔽2)12yes—
2091C2×C4C2×H(5,𝔽2)14yes—
2092C2×C4C2×2−1+414yes—
2093C2×C4#58512yes—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—41no—
2098C22—41no—
2099C22—41no—
2100C22—41no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
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—
2129C22C22×H(5,𝔽2)11yescharacteristic
2130C22C22×2−1+411yescharacteristic
2131C22C2×#58511yescharacteristic
2132C22H(7,𝔽2)11yescharacteristic
2133C22H(7,𝔽2)11yescharacteristic
2134C22H(7,𝔽2)11yescharacteristic
2135C222−1+611yescharacteristic
2136C4—24no—
2137C4—22no—
2138C4—24no—
2139C4—22no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
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—42no—
2157C4—42no—
2158C4—42no—
2159C4—41no—
2160C4—41no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—42no—
2166C2—42no—
2167C2—82no—
2168C2—82no—
2169C2—82no—
2170C2—82no—
2171C2#6286511yescharacteristic
2172C2#6286611yescharacteristic
2173C2#6289911yescharacteristic
2174C2#6291711yescharacteristic
2175C2#6296211yescharacteristic
2176C2#6297611yescharacteristic
2177C2#6306511yescharacteristic
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. #58281C2semidirect
2. #58030C2semidirect
3. #57526C2semidirect
4. #57249C2semidirect
5. #57094C2semidirect
6. #55287C2semidirect
7. #55208C2semidirect
8. #54941C2semidirect
9. #54940C2semidirect
10. #53885C2semidirect
11. #53698C2semidirect
12. #53466C2semidirect
13. #53191C2semidirect
14. #52523C2semidirect
15. #51876C2semidirect
16. #51608C2semidirect
17. #50778C2semidirect
18. #50745C2semidirect
19. #47863C2semidirect
20. #46856C2semidirect
21. #46833C2semidirect
22. #45972C2semidirect
23. #43571C2semidirect
24. #43570C2semidirect
25. #43506C2semidirect
26. #42960C2semidirect
27. #42836C2semidirect
28. #42125C2semidirect
29. #41643C2semidirect
30. #41643C2semidirect
31. #39806C2semidirect
32. #39136C2semidirect
33. #37771C2semidirect
34. #37155C2semidirect
35. #36751C2semidirect

Maximal subgroups

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

subgroupindex
#582812
#580302
#575262
#572492
#570942
#552872
#552082
#549412
#549402
#538852
#536982
#534662
#531912
#525232
#518762
#516082
#507782
#507452
#478632
#468562
#468332
#459722
#435712
#435702
#435062
#429602
#428362
#421252
#416432
#398062
#391362
#377712
#371552
#367512