Finite Group Databasebeta

← #9523568

Subgroups — #9523568

Order 512.

4351 conjugacy classes of subgroups.

The subgroup lattice has 2087 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58877C212yesmaximal, complemented
2#58796C212yesmaximal, complemented
3#58710C212yesmaximal, complemented
4#58429C212yesmaximal, complemented
5#56594C212yesmaximal, complemented
6#55187C212yesmaximal, complemented
7#55187C212yesmaximal, complemented
8#54401C212yesmaximal, complemented
9#54337C212yesmaximal, complemented
10#54252C212yesmaximal, complemented
11#54136C212yesmaximal, complemented
12#54001C212yesmaximal, complemented
13#53196C211yesmaximal, characteristic, complemented
14#53121C212yesmaximal, complemented
15#51647C212yesmaximal, complemented
16#50903C212yesmaximal, complemented
17#49468C212yesmaximal, complemented
18#49305C212yesmaximal, complemented
19#47857C212yesmaximal, complemented
20#46821C212yesmaximal, complemented
21#46821C212yesmaximal, complemented
22#46133C211yesmaximal, characteristic
23#43742C212yesmaximal, complemented
24#43613C212yesmaximal, complemented
25#43505C212yesmaximal, complemented
26#42964C212yesmaximal, complemented
27#42000C212yesmaximal, complemented
28#41697C212yesmaximal, complemented
29#41373C212yesmaximal, complemented
30#40516C212yesmaximal, complemented
31#39678C211yesmaximal, characteristic, complemented
32#38921C211yesmaximal, characteristic, complemented
33#37763C211yesmaximal, characteristic, complemented
34#37167C211yesmaximal, characteristic, complemented
35#36742C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#552C2212yes—
39C2×#544C2211yescharacteristic
40C2×#539C2212yes—
41C2×#539C2211yescharacteristic
42C2×#539C2211yescharacteristic
43C2×#539C2212yes—
44C2×#529C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2211yescharacteristic
47#2851C2211yescharacteristic
48#2850C2211yescharacteristic
49#2845C2212yes—
50#2845C2212yes—
51#2843C2212yes—
52#2841C2212yes—
53#2839C2212yes—
54#2839C2212yes—
55#2839C2212yes—
56#2839C2212yes—
57#2839C2212yes—
58#2839C2212yes—
59#2836C2212yes—
60#2822C2211yescharacteristic
61#2822C2212yes—
62#2822C2212yes—
63#2822C2212yes—
64#2822C2212yes—
65#2820C2211yescharacteristic
66#2814C2212yes—
67#2814C2212yes—
68#2814C2212yes—
69#2809C2212yes—
70#2809C2211yescharacteristic
71#2806C2211yescharacteristic
72#2806C2211yescharacteristic
73#2806C2211yescharacteristic
74#2806C2211yescharacteristic
75#2805C2211yescharacteristic
76#2805C2212yes—
77#2804C2211yescharacteristic
78#2802C2212yes—
79#2802C2212yes—
80#2799C2212yes—
81#2795C2212yes—
82#2792C2212yes—
83#2792C2212yes—
84#2791C2212yes—
85#2791C2212yes—
86#2791C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2790C2212yes—
90#2788C2212yes—
91#2782C2212yes—
92#2782C2212yes—
93#2781C2212yes—
94#2777C2212yes—
95#2775C2212yes—
96#2774C2212yes—
97#2770C2212yes—
98#2770C2212yes—
99#2768C2212yes—
100#2768C2212yes—
101#2768C2212yes—
102#2768C2212yes—
103#2767C2212yes—
104#2763C2212yes—
105#2755C2212yes—
106#2755C2212yes—
107#2755C2212yes—
108#2755C2212yes—
109#2755C2212yes—
110#2755C2212yes—
111#2754C2212yes—
112#2754C2212yes—
113#2750C2212yes—
114#2747C2212yes—
115#2747C2212yes—
116#2744C2212yes—
117#2744C2212yes—
118#2744C2212yes—
119#2744C2212yes—
120#2743C2212yes—
121#2742C2212yes—
122#2739C2212yes—
123#2739C2212yes—
124#2738C2212yes—
125#2738C2212yes—
126#2732C2212yes—
127#2728C2212yes—
128#2728C2212yes—
129#2727C2211yescharacteristic
130#2726C2212yes—
131#2726C2212yes—
132#2726C2212yes—
133#2726C2212yes—
134#2726C2212yes—
135#2724C2212yes—
136#2724C2212yes—
137#2723C2212yes—
138#2722C2212yes—
139#2722C2212yes—
140#2722C2212yes—
141#2722C2212yes—
142#2722C2212yes—
143#2722C2212yes—
144#2721C2212yes—
145#2721C2212yes—
146#2721C2212yes—
147#2720C2212yes—
148#2720C2212yes—
149#2719C2212yes—
150#2719C2212yes—
151#2719C2212yes—
152#2719C2212yes—
153#2718C2212yes—
154#2718C2212yes—
155#2718C2212yes—
156#2717C2212yes—
157#2716C2212yes—
158#2713C2212yes—
159#2713C2212yes—
160#2708C2212yes—
161#2704C2212yes—
162#2704C2212yes—
163#2704C2212yes—
164#2701C2212yes—
165#2701C2212yes—
166#2701C2212yes—
167#2698C2212yes—
168#2698C2212yes—
169#2698C2212yes—
170#2698C2212yes—
171#2698C2212yes—
172#2698C2212yes—
173#2698C2212yes—
174#2698C2212yes—
175#2698C2212yes—
176#2695C2212yes—
177#2695C2212yes—
178#2695C2212yes—
179#2695C2212yes—
180#2694C2212yes—
181#2694C2212yes—
182#2693C2212yes—
183#2690C2212yes—
184#2690C2212yes—
185#2690C2212yes—
186#2690C2212yes—
187#2689C2212yes—
188#2689C2212yes—
189#2689C2212yes—
190#2689C2212yes—
191#2687C2212yes—
192#2687C2212yes—
193#2687C2212yes—
194#2687C2212yes—
195#2680C2212yes—
196#2680C2212yes—
197#2680C2212yes—
198#2680C2212yes—
199#2680C2212yes—
200#2680C2212yes—
201#2677C2212yes—
202#2674C2212yes—
203#2671C2212yes—
204#2671C2212yes—
205#2667C2212yes—
206#2666C2212yes—
207#2666C2212yes—
208#2666C2212yes—
209#2664C2212yes—
210#2664C2212yes—
211#2663C2212yes—
212#2660C2212yes—
213#2660C2212yes—
214#2659C2211yescharacteristic
215#2659C2211yescharacteristic
216#2659C2211yescharacteristic
217#2652C2212yes—
218#2650C2212yes—
219#2647C2212yes—
220#2647C2212yes—
221#2646C2211yescharacteristic
222#2646C2212yes—
223#2639C2211yescharacteristic
224#2637C2212yes—
225#2637C2212yes—
226#2627C2212yes—
227#2627C2212yes—
228#2627C2212yes—
229#2627C2211yescharacteristic
230#2625C2212yes—
231#2625C2212yes—
232#2621C2212yes—
233#2621C2212yes—
234#2612C2212yes—
235#2611C2212yes—
236#2611C2212yes—
237#2605C2212yes—
238#2602C2212yes—
239#2602C2212yes—
240#2589C2212yes—
241#2588C2212yes—
242#2584C2212yes—
243#2583C2212yes—
244#2582C2211yescharacteristic
245#2579C2212yes—
246#2575C2212yes—
247#2567C2211yescharacteristic
248#2565C2212yes—
249#2564C2212yes—
250#2564C2212yes—
251#2560C2212yes—
252#2560C2212yes—
253#2559C2212yes—
254#2556C2212yes—
255#2553C2212yes—
256#2553C2212yes—
257#2553C2212yes—
258#2552C2212yes—
259#2552C2212yes—
260#2552C2212yes—
261#2552C2212yes—
262#2552C2212yes—
263#2549C2212yes—
264#2549C2212yes—
265#2549C2212yes—
266#2549C2212yes—
267#2532C2212yes—
268#2531C2212yes—
269#2530C2212yes—
270#2529C2212yes—
271#2529C2212yes—
272#2526C2212yes—
273#2521C2212yes—
274#2520C2212yes—
275#2520C2212yes—
276#2520C2212yes—
277#2519C2212yes—
278#2517C2212yes—
279#2515C2212yes—
280#2515C2212yes—
281#2515C2212yes—
282#2509C2212yes—
283#2509C2212yes—
284#2508C2212yes—
285#2508C2212yes—
286#2507C2212yes—
287#2507C2212yes—
288#2506C2212yes—
289#2506C2212yes—
290#2505C2212yes—
291#2505C2212yes—
292#2505C2212yes—
293#2502C2212yes—
294#2502C2212yes—
295#2498C2212yes—
296#2498C2212yes—
297#2495C2212yes—
298#2489C2212yes—
299#2489C2212yes—
300#2489C2212yes—
301#2488C2212yes—
302#2488C2212yes—
303#2486C2212yes—
304#2486C2212yes—
305#2486C2212yes—
306#2486C2212yes—
307#2479C2212yes—
308#2479C2212yes—
309#2479C2212yes—
310#2478C2212yes—
311#2476C2212yes—
312#2475C2212yes—
313#2473C2212yes—
314#2473C2212yes—
315#2473C2212yes—
316#2473C2212yes—
317#2468C2212yes—
318#2468C2212yes—
319#2468C2212yes—
320#2468C2212yes—
321#2462C2212yes—
322#2460C2212yes—
323#2457C2212yes—
324#2455C2212yes—
325#2451C2212yes—
326#2451C2212yes—
327#2447C2212yes—
328#2444C2212yes—
329#2443C2212yes—
330#2440C2212yes—
331#2440C2212yes—
332#2438C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2438C2212yes—
336#2425C2212yes—
337#2425C2212yes—
338#2425C2212yes—
339#2423C2212yes—
340#2423C2212yes—
341#2422C2212yes—
342#2422C2212yes—
343#2422C2212yes—
344#2421C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2419C2212yes—
348#2419C2212yes—
349#2419C2212yes—
350#2419C2212yes—
351#2417C2212yes—
352#2417C2212yes—
353#2415C2212yes—
354#2413C2212yes—
355#2413C2212yes—
356#2402C2212yes—
357#2395C2212yes—
358C2×#398C2212yes—
359#2383C2212yes—
360#2379C2211yescharacteristic
361#2373C2212yes—
362#2368C2212yes—
363#2363C2212yes—
364#2354C2211yescharacteristic
365#2352C2212yes—
366#2349C2212yes—
367#2346C2212yes—
368#2343C2212yes—
369#2343C2212yes—
370#2335C2212yes—
371#2335C2212yes—
372#2334C2212yes—
373#2329C2211yescharacteristic
374#2329C2211yescharacteristic
375#2325C2211yescharacteristic
376#2317C2212yes—
377C4×C22⋊Q8C2211yescharacteristic
378C2×#387C2211yescharacteristic
379#562—44no—
380#554—44no—
381#552—48no—
382#544—44no—
383#539—44no—
384#539—48no—
385#539—48no—
386#539—44no—
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390#529—44no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#125C2311yescharacteristic
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2311yescharacteristic
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2311yescharacteristic
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2312yes—
480C22×C42C2311yescharacteristic
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
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#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#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
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#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#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#398C2312yes—
628#398C2312yes—
629#398C2312yes—
630#398C2312yes—
631#398C2312yes—
632#398C2312yes—
633#398C2312yes—
634#398C2312yes—
635#398C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#397C2312yes—
658#397C2312yes—
659#397C2312yes—
660#397C2312yes—
661#397C2312yes—
662#397C2312yes—
663#397C2312yes—
664#397C2312yes—
665#397C2312yes—
666#397C2312yes—
667#397C2312yes—
668#397C2312yes—
669#397C2312yes—
670#397C2312yes—
671#397C2312yes—
672#396C2312yes—
673#396C2312yes—
674#396C2312yes—
675#396C2312yes—
676#396C2312yes—
677#396C2312yes—
678#396C2312yes—
679#396C2312yes—
680#396C2312yes—
681#396C2312yes—
682#396C2312yes—
683#396C2312yes—
684#396C2312yes—
685#396C2312yes—
686#395C2312yes—
687#395C2312yes—
688#395C2312yes—
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#395C2312yes—
698#395C2312yes—
699#395C2312yes—
700#395C2312yes—
701#395C2312yes—
702#395C2312yes—
703#395C2312yes—
704#395C2312yes—
705#395C2312yes—
706#395C2312yes—
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#394C2312yes—
721#394C2312yes—
722#394C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#393C2312yes—
727#393C2312yes—
728#392C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2311yescharacteristic
738#391C2311yescharacteristic
739#391C2311yescharacteristic
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2311yescharacteristic
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2311yescharacteristic
759#390C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2311yescharacteristic
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2311yescharacteristic
791#389C2311yescharacteristic
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#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
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#388C2312yes—
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#387C2312yes—
936#387C2312yes—
937#387C2312yes—
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#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
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#384C2312yes—
1001#384C2312yes—
1002#384C2312yes—
1003#384C2312yes—
1004#384C2311yescharacteristic
1005#384C2312yes—
1006#384C2312yes—
1007#384C2312yes—
1008#384C2312yes—
1009#384C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#382C2311yescharacteristic
1014#382C2312yes—
1015#382C2311yescharacteristic
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
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×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C2×#95C2312yes—
1104C2×#95C2311yescharacteristic
1105C2×#95C2312yes—
1106C2×#95C2312yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2411yescharacteristic
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C4⋊Q8—44no—
1139C4⋊Q8—44no—
1140C4⋊Q8—42no—
1141#126—28no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#125—42no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—42no—
1161#125—44no—
1162#125—44no—
1163#125—44no—
1164#125—44no—
1165#124—24no—
1166#124—42no—
1167#123—28no—
1168#123—28no—
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—44no—
1180#123—44no—
1181#123—44no—
1182C22⋊Q8—28no—
1183C22⋊Q8—24no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—42no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—42no—
1190C22⋊Q8—42no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—42no—
1201C22⋊Q8—42no—
1202C22⋊Q8—44no—
1203#121—24no—
1204#121—28no—
1205#121—44no—
1206#121—44no—
1207#121—42no—
1208C4×Q8—42no—
1209C4×Q8—42no—
1210C4×Q8—44no—
1211C4×D4—24no—
1212C4×D4—28no—
1213C4×D4—28no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—44no—
1219#117—28no—
1220#117—28no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224C2×C4⋊C4—24no—
1225C2×C4⋊C4—44no—
1226C2×C4⋊C4—42no—
1227C2×C4⋊C4—44no—
1228C2×C4⋊C4—44no—
1229C2×C4⋊C4—44no—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
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×C42—42no—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2411yescharacteristic
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2411yescharacteristic
1409C2×C42C2412yes—
1410C2×C42C2411yescharacteristic
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
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—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2511yescharacteristic
1546C2×Q8—24no—
1547C2×Q8—22no—
1548C2×Q8—22no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—42no—
1557C2×Q8—41no—
1558C2×Q8—41no—
1559C2×Q8—41no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—41no—
1566C2×Q8—41no—
1567C2×Q8—42no—
1568C2×Q8—41no—
1569C2×Q8—41no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—41no—
1576C2×D4—41no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4H(5,𝔽2)14yes—
1588C22×C4—24no—
1589C22×C4—22no—
1590C22×C4—22no—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—22no—
1597C22×C4—24no—
1598C22×C4—22no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—41no—
1603C22×C4—41no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—41no—
1607C22×C4—42no—
1608C22×C4—41no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—41no—
1612C22×C4—41no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—41no—
1619C22×C4—41no—
1620C22×C4—41no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—41no—
1627C22×C4—41no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—41no—
1634C22×C4—42no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—42no—
1638C22×C4H(5,𝔽2)14yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C22×C4C2512yes—
1644C22×C4C2511yescharacteristic
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2511yescharacteristic
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2511yescharacteristic
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2511yescharacteristic
1668C22×C4C2512yes—
1669C22×C4C2511yescharacteristic
1670C22×C4C2512yes—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—22no—
1682C4⋊C4—24no—
1683C4⋊C4—22no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—41no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—41no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—41no—
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—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—41no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
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—41no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—41no—
1777C4⋊C4—41no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C42−1+414yes—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
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—
1841C42—22no—
1842C42—22no—
1843C42—24no—
1844C42—24no—
1845C42—24no—
1846C42—24no—
1847C42—24no—
1848C42—24no—
1849C42—24no—
1850C42—41no—
1851C42—41no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C23—22no—
1868C23—21no—
1869C23—22no—
1870C23—21no—
1871C23—22no—
1872C23—21no—
1873C23—22no—
1874C23—21no—
1875C23—21no—
1876C23—22no—
1877C23—22no—
1878C23—21no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23C2×H(5,𝔽2)12yes—
1887C23C2×H(5,𝔽2)14yes—
1888C23C2611yescharacteristic
1889Q8—84no—
1890Q8—82no—
1891Q8—82no—
1892Q8—161no—
1893Q8—161no—
1894Q8—162no—
1895Q8—161no—
1896Q8—161no—
1897D4—44no—
1898D4—48no—
1899D4—84no—
1900D4—84no—
1901D4—84no—
1902D4—161no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—21no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—21no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—44no—
1996C2×C4—48no—
1997C2×C4—84no—
1998C2×C4—82no—
1999C2×C4—82no—
2000C2×C4—84no—
2001C2×C4—84no—
2002C2×C4—84no—
2003C2×C4—82no—
2004C2×C4—84no—
2005C2×C4—82no—
2006C2×C4—161no—
2007C2×C4—161no—
2008C2×C4—162no—
2009C2×C4—162no—
2010C2×C4—162no—
2011C2×C4—162no—
2012C2×C4C2×H(5,𝔽2)12yes—
2013C2×C4C2×H(5,𝔽2)14yes—
2014C2×C4C2×2−1+414yes—
2015C2×C4C2×2−1+412yes—
2016C22—22no—
2017C22—24no—
2018C22—24no—
2019C22—22no—
2020C22—24no—
2021C22—22no—
2022C22—41no—
2023C22—42no—
2024C22—41no—
2025C22—42no—
2026C22—42no—
2027C22—41no—
2028C22—41no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22C22×H(5,𝔽2)11yescharacteristic
2038C22C22×H(5,𝔽2)11yescharacteristic
2039C22C22×2−1+411yescharacteristic
2040C222−1+611yescharacteristic
2041C222−1+611yescharacteristic
2042C222−1+611yescharacteristic
2043C222−1+611yescharacteristic
2044C4—24no—
2045C4—24no—
2046C4—22no—
2047C4—22no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—41no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—41no—
2064C4—41no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C4—42no—
2070C4—41no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C2—42no—
2077C2—44no—
2078C2—82no—
2079C2#6287111yescharacteristic
2080C2#6287111yescharacteristic
2081C2#6291411yescharacteristic
2082C2#6291511yescharacteristic
2083C2#6294611yescharacteristic
2084C2#6297911yescharacteristic
2085C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#46133C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #58877C2semidirect
2. #58796C2semidirect
3. #58710C2semidirect
4. #58429C2semidirect
5. #56594C2semidirect
6. #55187C2semidirect
7. #55187C2semidirect
8. #54401C2semidirect
9. #54337C2semidirect
10. #54252C2semidirect
11. #54136C2semidirect
12. #54001C2semidirect
13. #53196C2semidirect
14. #53121C2semidirect
15. #51647C2semidirect
16. #50903C2semidirect
17. #49468C2semidirect
18. #49305C2semidirect
19. #47857C2semidirect
20. #46821C2semidirect
21. #46821C2semidirect
23. #43742C2semidirect
24. #43613C2semidirect
25. #43505C2semidirect
26. #42964C2semidirect
27. #42000C2semidirect
28. #41697C2semidirect
29. #41373C2semidirect
30. #40516C2semidirect
31. #39678C2semidirect
32. #38921C2semidirect
33. #37763C2semidirect
34. #37167C2semidirect
35. #36742C2semidirect

Maximal subgroups

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

subgroupindex
#588772
#587962
#587102
#584292
#565942
#551872
#544012
#543372
#542522
#541362
#540012
#531962
#531212
#516472
#509032
#494682
#493052
#478572
#468212
#461332
#437422
#436132
#435052
#429642
#420002
#416972
#413732
#405162
#396782
#389212
#377632
#371672
#367422