Finite Group Databasebeta

← #8934699

Subgroups — #8934699

Order 512.

4524 conjugacy classes of subgroups.

The subgroup lattice has 2139 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60016C212yesmaximal, complemented
2#59977C212yesmaximal, complemented
3#59941C211yesmaximal, characteristic, complemented
4#59885C211yesmaximal, characteristic, complemented
5#59790C212yesmaximal, complemented
6#59784C212yesmaximal, complemented
7#59487C212yesmaximal, complemented
8#51969C212yesmaximal, complemented
9#51918C212yesmaximal, complemented
10#51900C212yesmaximal, complemented
11#51753C212yesmaximal, complemented
12#51746C212yesmaximal, complemented
13#51167C212yesmaximal, complemented
14#50598C212yesmaximal, complemented
15#50472C212yesmaximal, complemented
16#50470C212yesmaximal, complemented
17#50360C212yesmaximal, complemented
18#50299C212yesmaximal, complemented
19#50185C211yesmaximal, characteristic, complemented
20#50028C212yesmaximal, complemented
21#49835C212yesmaximal, complemented
22#49592C211yesmaximal, characteristic, complemented
23#49200C212yesmaximal, complemented
24#49194C212yesmaximal, complemented
25#48747C212yesmaximal, complemented
26#48018C212yesmaximal, complemented
27#47665C211yesmaximal, characteristic, complemented
28#47659C211yesmaximal, characteristic, complemented
29#47585C212yesmaximal, complemented
30#47575C212yesmaximal, complemented
31#35675C212yesmaximal, complemented
32#35673C211yesmaximal, characteristic, complemented
33#35553C212yesmaximal, complemented
34#35480C212yesmaximal, complemented
35#35470C212yesmaximal, complemented
36C2×#562C2212yes—
37C2×#542C2212yes—
38C2×#536C2211yescharacteristic
39C2×#519C2211yescharacteristic
40#2833C2211yescharacteristic
41#2828C2211yescharacteristic
42#2809C2211yescharacteristic
43#2808C2212yes—
44#2804C2211yescharacteristic
45#2803C2212yes—
46#2803C2212yes—
47#2803C2212yes—
48#2799C2211yescharacteristic
49#2799C2211yescharacteristic
50#2798C2212yes—
51#2797C2212yes—
52#2796C2212yes—
53#2793C2212yes—
54#2787C2212yes—
55#2784C2212yes—
56#2778C2212yes—
57#2777C2212yes—
58#2774C2212yes—
59#2773C2212yes—
60#2771C2212yes—
61#2771C2212yes—
62#2770C2212yes—
63#2769C2212yes—
64#2762C2212yes—
65#2760C2212yes—
66#2759C2212yes—
67#2759C2212yes—
68#2758C2212yes—
69#2758C2212yes—
70#2756C2212yes—
71#2756C2212yes—
72#2754C2212yes—
73#2752C2212yes—
74#2751C2212yes—
75#2749C2212yes—
76#2749C2212yes—
77#2746C2212yes—
78#2745C2212yes—
79#2745C2212yes—
80#2743C2212yes—
81#2743C2212yes—
82#2742C2212yes—
83#2741C2212yes—
84#2737C2212yes—
85#2737C2212yes—
86#2737C2212yes—
87#2733C2211yescharacteristic
88#2733C2211yescharacteristic
89#2730C2212yes—
90#2728C2212yes—
91#2728C2211yescharacteristic
92#2727C2212yes—
93#2723C2212yes—
94#2723C2212yes—
95#2723C2212yes—
96#2720C2212yes—
97#2716C2212yes—
98#2714C2212yes—
99#2714C2212yes—
100#2714C2212yes—
101#2714C2212yes—
102#2713C2212yes—
103#2712C2212yes—
104#2710C2212yes—
105#2710C2212yes—
106#2710C2212yes—
107#2705C2212yes—
108#2703C2212yes—
109#2703C2212yes—
110#2703C2212yes—
111#2703C2212yes—
112#2699C2211yescharacteristic
113#2696C2212yes—
114#2696C2212yes—
115#2696C2212yes—
116#2696C2212yes—
117#2693C2212yes—
118#2692C2212yes—
119#2689C2212yes—
120#2689C2212yes—
121#2688C2212yes—
122#2688C2212yes—
123#2688C2212yes—
124#2687C2212yes—
125#2687C2212yes—
126#2677C2212yes—
127#2676C2212yes—
128#2676C2212yes—
129#2674C2212yes—
130#2674C2212yes—
131#2673C2212yes—
132#2673C2212yes—
133#2673C2212yes—
134#2672C2212yes—
135#2672C2212yes—
136#2671C2212yes—
137#2671C2212yes—
138#2665C2211yescharacteristic
139#2665C2211yescharacteristic
140#2663C2212yes—
141#2661C2212yes—
142#2656C2212yes—
143#2653C2212yes—
144#2651C2212yes—
145#2650C2212yes—
146#2642C2212yes—
147#2640C2212yes—
148#2639C2212yes—
149#2635C2212yes—
150#2624C2211yescharacteristic
151#2615C2211yescharacteristic
152#2611C2212yes—
153#2610C2212yes—
154#2610C2212yes—
155#2610C2212yes—
156#2610C2212yes—
157#2605C2212yes—
158#2604C2212yes—
159#2604C2212yes—
160#2604C2212yes—
161#2603C2212yes—
162#2601C2212yes—
163#2601C2212yes—
164#2598C2212yes—
165#2597C2212yes—
166#2596C2212yes—
167#2595C2212yes—
168#2594C2212yes—
169#2593C2212yes—
170#2592C2212yes—
171#2592C2212yes—
172#2591C2211yescharacteristic
173#2591C2211yescharacteristic
174#2589C2212yes—
175#2586C2211yescharacteristic
176#2586C2212yes—
177#2585C2212yes—
178#2578C2212yes—
179#2575C2212yes—
180#2575C2212yes—
181#2575C2212yes—
182#2573C2212yes—
183#2572C2211yescharacteristic
184#2572C2212yes—
185#2572C2211yescharacteristic
186#2572C2212yes—
187#2572C2211yescharacteristic
188#2572C2211yescharacteristic
189#2570C2212yes—
190#2569C2212yes—
191#2563C2212yes—
192#2560C2212yes—
193#2560C2212yes—
194#2559C2212yes—
195#2559C2212yes—
196#2559C2212yes—
197#2558C2212yes—
198#2557C2212yes—
199#2557C2212yes—
200#2557C2212yes—
201#2557C2212yes—
202#2557C2212yes—
203#2555C2212yes—
204#2555C2211yescharacteristic
205#2555C2212yes—
206#2554C2212yes—
207#2554C2212yes—
208#2554C2212yes—
209#2553C2212yes—
210#2553C2212yes—
211#2553C2212yes—
212#2543C2212yes—
213#2543C2212yes—
214#2542C2212yes—
215#2540C2212yes—
216#2535C2212yes—
217#2533C2212yes—
218#2532C2212yes—
219#2532C2212yes—
220#2532C2212yes—
221#2530C2212yes—
222#2530C2212yes—
223#2528C2212yes—
224#2528C2212yes—
225#2527C2212yes—
226#2526C2212yes—
227#2526C2212yes—
228#2526C2212yes—
229#2524C2212yes—
230#2524C2212yes—
231#2521C2212yes—
232#2519C2212yes—
233#2518C2212yes—
234#2517C2212yes—
235#2517C2212yes—
236#2516C2212yes—
237#2510C2212yes—
238#2510C2212yes—
239#2507C2212yes—
240#2500C2212yes—
241#2498C2212yes—
242#2498C2212yes—
243#2498C2212yes—
244#2498C2212yes—
245#2498C2212yes—
246#2497C2212yes—
247#2496C2212yes—
248#2495C2212yes—
249#2493C2212yes—
250#2493C2212yes—
251#2493C2212yes—
252#2492C2212yes—
253#2491C2212yes—
254#2491C2212yes—
255#2488C2212yes—
256#2488C2212yes—
257#2488C2212yes—
258#2488C2212yes—
259#2488C2212yes—
260#2484C2211yescharacteristic
261#2479C2212yes—
262#2478C2212yes—
263#2477C2212yes—
264#2477C2212yes—
265#2477C2212yes—
266#2477C2212yes—
267#2476C2212yes—
268#2474C2212yes—
269#2471C2212yes—
270#2471C2212yes—
271#2471C2212yes—
272#2468C2212yes—
273#2468C2212yes—
274#2467C2212yes—
275#2467C2212yes—
276#2467C2212yes—
277#2467C2212yes—
278#2465C2212yes—
279#2465C2212yes—
280#2465C2212yes—
281#2464C2212yes—
282#2464C2212yes—
283#2463C2212yes—
284#2459C2212yes—
285#2459C2212yes—
286#2459C2212yes—
287#2459C2212yes—
288#2459C2212yes—
289#2458C2212yes—
290#2458C2212yes—
291#2456C2212yes—
292#2456C2212yes—
293#2456C2212yes—
294#2451C2212yes—
295#2451C2212yes—
296#2450C2212yes—
297#2450C2212yes—
298#2448C2212yes—
299#2448C2212yes—
300#2448C2212yes—
301#2448C2212yes—
302#2446C2212yes—
303#2446C2212yes—
304#2445C2212yes—
305#2444C2212yes—
306#2444C2212yes—
307#2444C2212yes—
308#2439C2212yes—
309#2438C2212yes—
310#2436C2212yes—
311#2431C2212yes—
312#2431C2212yes—
313#2430C2212yes—
314#2426C2212yes—
315#2423C2212yes—
316#2423C2212yes—
317#2422C2212yes—
318#2421C2212yes—
319#2421C2212yes—
320#2421C2212yes—
321#2420C2212yes—
322#2420C2212yes—
323#2419C2212yes—
324#2414C2212yes—
325#2414C2212yes—
326#2409C2212yes—
327#2406C2211yescharacteristic
328#2378C2212yes—
329#2378C2212yes—
330#2377C2211yescharacteristic
331#2377C2212yes—
332#2377C2212yes—
333#2377C2211yescharacteristic
334#2374C2212yes—
335#2373C2212yes—
336#2373C2212yes—
337#2373C2212yes—
338#2372C2212yes—
339#2368C2212yes—
340#2368C2212yes—
341#2366C2212yes—
342#2363C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2356C2212yes—
346#2353C2212yes—
347#2353C2212yes—
348#2353C2212yes—
349#2353C2212yes—
350#2346C2211yescharacteristic
351#2341C2211yescharacteristic
352#2339C2212yes—
353#2337C2212yes—
354#2337C2212yes—
355#2333C2212yes—
356#2333C2212yes—
357#2333C2212yes—
358#2332C2212yes—
359#2331C2212yes—
360#2324C2212yes—
361#2324C2212yes—
362#2323C2212yes—
363#2316C2211yescharacteristic
364#2314C2212yes—
365#2311C2211yescharacteristic
366C4×#126C2212yes—
367C4×#126C2212yes—
368C4×#124C2212yes—
369C4×#124C2212yes—
370C4×#121C2212yes—
371#2298C2212yes—
372#2297C2211yescharacteristic
373#2295C2212yes—
374C2×#391C2211yescharacteristic
375#2293C2212yes—
376#2290C2212yes—
377#2285C2211yescharacteristic
378#2275C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C23×Q8C2311yescharacteristic
382#562—48no—
383#542—48no—
384#536—44no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#127C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
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×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444#519—44no—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×#117C2311yescharacteristic
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C2×#117C2311yescharacteristic
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2311yescharacteristic
468C2×#117C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C42C2311yescharacteristic
471#401C2312yes—
472#401C2312yes—
473#401C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2311yescharacteristic
480#400C2311yescharacteristic
481#400C2311yescharacteristic
482#400C2311yescharacteristic
483#400C2312yes—
484#400C2311yescharacteristic
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2311yescharacteristic
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#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2311yescharacteristic
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2311yescharacteristic
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#395C2312yes—
582#395C2311yescharacteristic
583#395C2312yes—
584#395C2312yes—
585#395C2312yes—
586#395C2312yes—
587#395C2311yescharacteristic
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#394C2312yes—
593#394C2312yes—
594#394C2311yescharacteristic
595#394C2311yescharacteristic
596#394C2311yescharacteristic
597#394C2312yes—
598#394C2311yescharacteristic
599#394C2312yes—
600#394C2312yes—
601#394C2311yescharacteristic
602#394C2312yes—
603#394C2311yescharacteristic
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2311yescharacteristic
674#391C2311yescharacteristic
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2311yescharacteristic
697#391C2312yes—
698#391C2311yescharacteristic
699#391C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2311yescharacteristic
705#390C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
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#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
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#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#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#384C2312yes—
990#384C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#381C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2311yescharacteristic
1018#381C2311yescharacteristic
1019#381C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2311yescharacteristic
1030#380C2311yescharacteristic
1031#380C2311yescharacteristic
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2311yescharacteristic
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089#376C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C43C2312yes—
1102C2×#41—42no—
1103C2×#41—42no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—44no—
1107C22×Q8—24no—
1108C22×Q8—42no—
1109C22×Q8—42no—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2411yescharacteristic
1134C22×D4C2411yescharacteristic
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C4⋊Q8—44no—
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158#127—44no—
1159#126—44no—
1160#126—44no—
1161#126—44no—
1162#126—44no—
1163#126—44no—
1164#126—44no—
1165#126—44no—
1166#125—44no—
1167#124—28no—
1168#124—44no—
1169#124—44no—
1170#124—44no—
1171#124—44no—
1172#124—44no—
1173#124—44no—
1174#124—44no—
1175#124—44no—
1176#123—44no—
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—
1187C22⋊Q8—28no—
1188C22⋊Q8—28no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198#121—44no—
1199#121—44no—
1200#121—44no—
1201#121—44no—
1202#121—44no—
1203#121—44no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—44no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—42no—
1213#121—42no—
1214C4×Q8—28no—
1215C4×Q8—44no—
1216C4×Q8—44no—
1217C4×Q8—44no—
1218C4×Q8—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—44no—
1228C4×D4—44no—
1229#117—44no—
1230#117—42no—
1231#117—44no—
1232#117—44no—
1233#117—44no—
1234#117—42no—
1235#117—44no—
1236#117—42no—
1237#117—42no—
1238C2×C4⋊C4—42no—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2411yescharacteristic
1330C2×C22⋊C4C2411yescharacteristic
1331C2×C22⋊C4C2411yescharacteristic
1332C2×C22⋊C4C2411yescharacteristic
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊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×C42—42no—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2412yes—
1408C2×C42C2411yescharacteristic
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2411yescharacteristic
1429C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1523#95C2411yescharacteristic
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2411yescharacteristic
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2411yescharacteristic
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538C24C2512yes—
1539C24C2512yes—
1540C24C2512yes—
1541C24C2512yes—
1542C24C2511yescharacteristic
1543#41—88no—
1544#41—88no—
1545C2×Q8—22no—
1546C2×Q8—24no—
1547C2×Q8—24no—
1548C2×Q8—24no—
1549C2×Q8—22no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—42no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—416no—
1568C2×Q8H(5,𝔽2)14yes—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—22no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—41no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—41no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—41no—
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—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—41no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—22no—
1629C22×C4—24no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—24no—
1633C22×C4—24no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—24no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
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—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4C2511yescharacteristic
1676C22×C4C2512yes—
1677C22×C4C2511yescharacteristic
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2511yescharacteristic
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2511yescharacteristic
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2511yescharacteristic
1704C22×C4C2512yes—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—41no—
1727C4⋊C4—41no—
1728C4⋊C4—41no—
1729C4⋊C4—41no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—41no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
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—41no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
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—42no—
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—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—41no—
1797C22⋊C4—42no—
1798C22⋊C4—41no—
1799C22⋊C4—42no—
1800C22⋊C4—41no—
1801C22⋊C4—41no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—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—
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—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—24no—
1867C42—24no—
1868C42—24no—
1869C42—24no—
1870C42—24no—
1871C42—41no—
1872C42—41no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—41no—
1877C42—41no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C23—21no—
1896C23—22no—
1897C23—22no—
1898C23—21no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23#58512yes—
1928C23C2611yescharacteristic
1929Q8—44no—
1930Q8—48no—
1931Q8—44no—
1932Q8—44no—
1933Q8—82no—
1934Q8—162no—
1935Q8—162no—
1936Q8—162no—
1937D4—48no—
1938D4—48no—
1939D4—84no—
1940D4—84no—
1941D4—82no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—84no—
1946D4—82no—
1947D4—161no—
1948D4—161no—
1949D4—162no—
1950D4—162no—
1951D4—162no—
1952D4—162no—
1953D4—162no—
1954D4—162no—
1955D4—162no—
1956D4—162no—
1957C2×C4—28no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
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—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
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—22no—
2013C2×C4—22no—
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—22no—
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—21no—
2033C2×C4—22no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—48no—
2040C2×C4—84no—
2041C2×C4—84no—
2042C2×C4—84no—
2043C2×C4—84no—
2044C2×C4—84no—
2045C2×C4—82no—
2046C2×C4—82no—
2047C2×C4—84no—
2048C2×C4—162no—
2049C2×C4—162no—
2050C2×C4—162no—
2051C2×C4—162no—
2052C2×C4—162no—
2053C2×C4—162no—
2054C2×C4—162no—
2055C2×C4C2×H(5,𝔽2)14yes—
2056C2×C4C2×H(5,𝔽2)12yes—
2057C2×C4#58512yes—
2058C2×C4#58514yes—
2059C2×C4#58514yes—
2060C22—22no—
2061C22—22no—
2062C22—22no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22C22×H(5,𝔽2)11yescharacteristic
2094C22C2×#58511yescharacteristic
2095C22C2×#58512yes—
2096C22C2×#58512yes—
2097C22C2×#58511yescharacteristic
2098C4—24no—
2099C4—22no—
2100C4—22no—
2101C4—24no—
2102C4—24no—
2103C4—41no—
2104C4—41no—
2105C4—41no—
2106C4—41no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C2—42no—
2129C2—82no—
2130C2—82no—
2131C2—82no—
2132C2—82no—
2133C2#6282011yescharacteristic
2134C2#6282712yes—
2135C2#6302611yescharacteristic
2136C2#6302811yescharacteristic
2137C2#6303512yes—
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. #60016C2semidirect
2. #59977C2semidirect
3. #59941C2semidirect
4. #59885C2semidirect
5. #59790C2semidirect
6. #59784C2semidirect
7. #59487C2semidirect
8. #51969C2semidirect
9. #51918C2semidirect
10. #51900C2semidirect
11. #51753C2semidirect
12. #51746C2semidirect
13. #51167C2semidirect
14. #50598C2semidirect
15. #50472C2semidirect
16. #50470C2semidirect
17. #50360C2semidirect
18. #50299C2semidirect
19. #50185C2semidirect
20. #50028C2semidirect
21. #49835C2semidirect
22. #49592C2semidirect
23. #49200C2semidirect
24. #49194C2semidirect
25. #48747C2semidirect
26. #48018C2semidirect
27. #47665C2semidirect
28. #47659C2semidirect
29. #47585C2semidirect
30. #47575C2semidirect
31. #35675C2semidirect
32. #35673C2semidirect
33. #35553C2semidirect
34. #35480C2semidirect
35. #35470C2semidirect

Maximal subgroups

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

subgroupindex
#600162
#599772
#599412
#598852
#597902
#597842
#594872
#519692
#519182
#519002
#517532
#517462
#511672
#505982
#504722
#504702
#503602
#502992
#501852
#500282
#498352
#495922
#492002
#491942
#487472
#480182
#476652
#476592
#475852
#475752
#356752
#356732
#355532
#354802
#354702