Finite Group Databasebeta

← #9075948

Subgroups — #9075948

Order 512.

4357 conjugacy classes of subgroups.

The subgroup lattice has 2101 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58804C211yesmaximal, characteristic, complemented
2#58546C212yesmaximal, complemented
3#57120C212yesmaximal, complemented
4#54975C212yesmaximal, complemented
5#54717C212yesmaximal, complemented
6#51873C211yesmaximal, characteristic, complemented
7#51737C212yesmaximal, complemented
8#51462C212yesmaximal, complemented
9#50896C211yesmaximal, characteristic, complemented
10#50834C212yesmaximal, complemented
11#50321C212yesmaximal, complemented
12#50112C212yesmaximal, complemented
13#49894C212yesmaximal, complemented
14#49580C212yesmaximal, complemented
15#49164C212yesmaximal, complemented
16#45338C211yesmaximal, characteristic, complemented
17#44896C212yesmaximal, complemented
18#44863C211yesmaximal, characteristic, complemented
19#44778C212yesmaximal, complemented
20#44725C212yesmaximal, complemented
21#44602C212yesmaximal, complemented
22#44559C212yesmaximal, complemented
23#44551C212yesmaximal, complemented
24#44257C212yesmaximal, complemented
25#43396C212yesmaximal, complemented
26#42344C211yesmaximal, characteristic, complemented
27#41875C212yesmaximal, complemented
28#41714C212yesmaximal, complemented
29#41285C212yesmaximal, complemented
30#41248C212yesmaximal, complemented
31#36074C212yesmaximal, complemented
32#35956C211yesmaximal, characteristic, complemented
33#35897C212yesmaximal, complemented
34#35886C212yesmaximal, complemented
35#35781C212yesmaximal, complemented
36C2×#562C2211yescharacteristic
37C2×#559C2211yescharacteristic
38C2×Q82C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#542C2212yes—
41#2844C2211yescharacteristic
42#2836C2212yes—
43#2832C2211yescharacteristic
44#2831C2212yes—
45#2828C2212yes—
46#2828C2211yescharacteristic
47#2826C2212yes—
48#2824C2212yes—
49#2813C2212yes—
50#2808C2212yes—
51#2803C2212yes—
52#2800C2212yes—
53#2800C2212yes—
54#2800C2212yes—
55#2800C2212yes—
56#2797C2212yes—
57#2796C2212yes—
58#2795C2212yes—
59#2794C2211yescharacteristic
60#2789C2211yescharacteristic
61#2788C2212yes—
62#2785C2212yes—
63#2784C2211yescharacteristic
64#2783C2212yes—
65#2783C2212yes—
66#2781C2212yes—
67#2778C2212yes—
68#2778C2212yes—
69#2774C2212yes—
70#2773C2212yes—
71#2773C2212yes—
72#2772C2212yes—
73#2772C2212yes—
74#2766C2212yes—
75#2761C2212yes—
76#2759C2212yes—
77#2757C2212yes—
78#2751C2212yes—
79#2751C2212yes—
80#2751C2212yes—
81#2750C2212yes—
82#2749C2212yes—
83#2747C2212yes—
84#2746C2212yes—
85#2745C2212yes—
86#2743C2212yes—
87#2742C2212yes—
88#2741C2212yes—
89#2740C2212yes—
90#2731C2212yes—
91#2731C2212yes—
92#2731C2212yes—
93#2731C2212yes—
94#2731C2212yes—
95#2731C2211yescharacteristic
96#2731C2211yescharacteristic
97#2730C2212yes—
98#2729C2212yes—
99#2729C2212yes—
100#2729C2212yes—
101#2718C2212yes—
102#2716C2212yes—
103#2716C2212yes—
104#2716C2212yes—
105#2716C2212yes—
106#2715C2212yes—
107#2714C2212yes—
108#2713C2212yes—
109#2713C2212yes—
110#2710C2212yes—
111#2710C2212yes—
112#2709C2212yes—
113#2709C2212yes—
114#2707C2212yes—
115#2707C2212yes—
116#2706C2212yes—
117#2706C2212yes—
118#2705C2212yes—
119#2703C2212yes—
120#2703C2212yes—
121#2700C2212yes—
122#2698C2212yes—
123#2698C2212yes—
124#2696C2212yes—
125#2696C2212yes—
126#2696C2212yes—
127#2693C2212yes—
128#2692C2212yes—
129#2691C2212yes—
130#2691C2212yes—
131#2690C2212yes—
132#2687C2212yes—
133#2686C2212yes—
134#2683C2211yescharacteristic
135#2683C2212yes—
136#2682C2212yes—
137#2682C2212yes—
138#2681C2212yes—
139#2676C2212yes—
140#2676C2212yes—
141#2676C2212yes—
142#2674C2212yes—
143#2674C2212yes—
144#2674C2212yes—
145#2673C2212yes—
146#2673C2212yes—
147#2672C2212yes—
148#2672C2212yes—
149#2665C2212yes—
150#2663C2212yes—
151#2662C2212yes—
152#2661C2212yes—
153#2657C2211yescharacteristic
154#2655C2212yes—
155#2655C2212yes—
156#2653C2212yes—
157#2653C2212yes—
158#2652C2212yes—
159#2650C2212yes—
160#2650C2212yes—
161#2650C2212yes—
162#2648C2212yes—
163#2648C2212yes—
164#2648C2212yes—
165#2645C2212yes—
166#2644C2212yes—
167#2638C2212yes—
168#2634C2211yescharacteristic
169#2632C2211yescharacteristic
170#2631C2212yes—
171#2628C2212yes—
172#2618C2212yes—
173#2612C2212yes—
174#2612C2211yescharacteristic
175#2610C2212yes—
176#2609C2211yescharacteristic
177#2608C2212yes—
178#2608C2212yes—
179#2605C2212yes—
180#2604C2212yes—
181#2603C2212yes—
182#2603C2212yes—
183#2602C2212yes—
184#2602C2212yes—
185#2597C2212yes—
186#2595C2212yes—
187#2595C2212yes—
188#2593C2212yes—
189#2593C2212yes—
190#2592C2211yescharacteristic
191#2592C2211yescharacteristic
192#2592C2212yes—
193#2587C2212yes—
194#2587C2212yes—
195#2587C2212yes—
196#2586C2211yescharacteristic
197#2585C2212yes—
198#2581C2211yescharacteristic
199#2577C2212yes—
200#2577C2212yes—
201#2576C2212yes—
202#2576C2212yes—
203#2576C2212yes—
204#2576C2212yes—
205#2565C2211yescharacteristic
206#2564C2212yes—
207#2560C2212yes—
208#2558C2212yes—
209#2558C2212yes—
210#2558C2212yes—
211#2557C2212yes—
212#2557C2212yes—
213#2557C2212yes—
214#2557C2212yes—
215#2557C2212yes—
216#2557C2212yes—
217#2557C2212yes—
218#2557C2212yes—
219#2555C2211yescharacteristic
220#2555C2212yes—
221#2554C2212yes—
222#2554C2212yes—
223#2553C2212yes—
224#2553C2212yes—
225#2551C2211yescharacteristic
226#2548C2211yescharacteristic
227#2548C2212yes—
228#2545C2212yes—
229#2545C2212yes—
230#2545C2212yes—
231#2536C2211yescharacteristic
232#2533C2212yes—
233#2533C2212yes—
234#2533C2212yes—
235#2531C2212yes—
236#2531C2212yes—
237#2531C2212yes—
238#2530C2212yes—
239#2530C2212yes—
240#2530C2212yes—
241#2528C2212yes—
242#2528C2212yes—
243#2528C2212yes—
244#2527C2212yes—
245#2527C2212yes—
246#2527C2212yes—
247#2527C2212yes—
248#2526C2212yes—
249#2526C2212yes—
250#2526C2212yes—
251#2526C2212yes—
252#2522C2212yes—
253#2521C2212yes—
254#2520C2212yes—
255#2519C2212yes—
256#2517C2212yes—
257#2516C2212yes—
258#2510C2212yes—
259#2510C2212yes—
260#2510C2212yes—
261#2509C2212yes—
262#2509C2212yes—
263#2509C2212yes—
264#2505C2212yes—
265#2494C2212yes—
266#2494C2212yes—
267#2492C2212yes—
268#2492C2212yes—
269#2491C2212yes—
270#2491C2212yes—
271#2491C2212yes—
272#2490C2212yes—
273#2489C2212yes—
274#2488C2212yes—
275#2488C2212yes—
276#2488C2212yes—
277#2488C2212yes—
278#2488C2212yes—
279#2481C2212yes—
280#2476C2212yes—
281#2471C2212yes—
282#2470C2212yes—
283#2470C2212yes—
284#2469C2212yes—
285#2469C2212yes—
286#2469C2212yes—
287#2469C2212yes—
288#2467C2212yes—
289#2466C2212yes—
290#2462C2212yes—
291#2461C2212yes—
292#2461C2212yes—
293#2461C2212yes—
294#2460C2212yes—
295#2459C2212yes—
296#2458C2212yes—
297#2458C2212yes—
298#2458C2212yes—
299#2457C2212yes—
300#2457C2212yes—
301#2457C2212yes—
302#2453C2212yes—
303#2452C2212yes—
304#2452C2212yes—
305#2451C2212yes—
306#2446C2212yes—
307#2446C2212yes—
308#2445C2212yes—
309#2444C2212yes—
310#2444C2212yes—
311#2439C2212yes—
312#2438C2212yes—
313#2429C2212yes—
314#2429C2212yes—
315#2429C2212yes—
316#2429C2212yes—
317#2428C2212yes—
318#2426C2212yes—
319#2426C2212yes—
320#2425C2212yes—
321#2421C2212yes—
322#2420C2212yes—
323#2419C2212yes—
324#2416C2212yes—
325#2415C2212yes—
326#2413C2212yes—
327#2401C2212yes—
328#2401C2212yes—
329#2401C2212yes—
330#2401C2212yes—
331#2399C2211yescharacteristic
332#2398C2211yescharacteristic
333#2398C2212yes—
334#2398C2212yes—
335#2396C2212yes—
336#2392C2212yes—
337#2379C2211yescharacteristic
338#2378C2212yes—
339#2376C2212yes—
340#2374C2212yes—
341#2374C2212yes—
342#2373C2212yes—
343#2372C2212yes—
344#2372C2212yes—
345#2372C2212yes—
346#2372C2211yescharacteristic
347#2371C2212yes—
348#2370C2212yes—
349#2368C2212yes—
350#2367C2212yes—
351#2367C2212yes—
352#2366C2212yes—
353#2365C2212yes—
354#2365C2212yes—
355#2364C2212yes—
356#2363C2212yes—
357#2363C2212yes—
358#2362C2212yes—
359#2360C2212yes—
360#2360C2212yes—
361#2359C2212yes—
362#2357C2212yes—
363#2356C2212yes—
364#2346C2212yes—
365#2345C2212yes—
366#2337C2211yescharacteristic
367#2335C2212yes—
368#2335C2212yes—
369#2335C2212yes—
370#2333C2212yes—
371#2333C2212yes—
372#2331C2211yescharacteristic
373#2329C2212yes—
374#2327C2212yes—
375#2327C2211yescharacteristic
376#2323C2212yes—
377#2276C2211yescharacteristic
378#2275C2212yes—
379#562—44no—
380#559—44no—
381Q82—44no—
382#556—44no—
383#542—48no—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×#127C2312yes—
393C2×#127C2311yescharacteristic
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#125C2311yescharacteristic
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#124C2311yescharacteristic
403C2×#124C2312yes—
404C2×#124C2311yescharacteristic
405C2×#124C2311yescharacteristic
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2311yescharacteristic
413C2×#124C2311yescharacteristic
414C2×#124C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
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×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C22×C4⋊C4C2312yes—
470#401C2312yes—
471#401C2312yes—
472#401C2312yes—
473#401C2312yes—
474#401C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2311yescharacteristic
479#400C2312yes—
480#400C2311yescharacteristic
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#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2311yescharacteristic
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2311yescharacteristic
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#397C2312yes—
539#397C2312yes—
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#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2311yescharacteristic
607#395C2311yescharacteristic
608#395C2311yescharacteristic
609#395C2311yescharacteristic
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2311yescharacteristic
616#395C2311yescharacteristic
617#395C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2311yescharacteristic
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2311yescharacteristic
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2311yescharacteristic
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2311yescharacteristic
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
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#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#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#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#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#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#384C2311yescharacteristic
1000#383C2312yes—
1001#383C2312yes—
1002#383C2311yescharacteristic
1003#382C2311yescharacteristic
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2311yescharacteristic
1008#382C2311yescharacteristic
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
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⋊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—
1091#376C2311yescharacteristic
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C22×Q8C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C4⋊Q8—28no—
1142C4⋊Q8—24no—
1143C4⋊Q8—42no—
1144C4⋊Q8—44no—
1145C4⋊Q8—44no—
1146C4⋊Q8—44no—
1147C4⋊Q8—44no—
1148C4⋊Q8—44no—
1149#127—44no—
1150#127—42no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#125—42no—
1157#125—44no—
1158#125—44no—
1159#124—28no—
1160#124—24no—
1161#124—44no—
1162#124—44no—
1163#124—44no—
1164#124—44no—
1165#124—42no—
1166#124—42no—
1167#124—42no—
1168#124—42no—
1169#124—44no—
1170#124—44no—
1171#124—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—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185C22⋊Q8—28no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—44no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196#121—44no—
1197#121—44no—
1198#121—44no—
1199#121—44no—
1200#121—44no—
1201#121—44no—
1202#121—44no—
1203#121—44no—
1204C4×Q8—24no—
1205C4×Q8—42no—
1206C4×Q8—42no—
1207C4×Q8—44no—
1208C4×Q8—44no—
1209C4×Q8—44no—
1210C4×Q8—44no—
1211C4×Q8—44no—
1212C4×Q8—42no—
1213C4×Q8—42no—
1214C4×Q8—42no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—42no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223#117—44no—
1224#117—44no—
1225#117—44no—
1226C2×C4⋊C4—44no—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊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⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
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×C42C2411yescharacteristic
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2411yescharacteristic
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395C2×C42C2411yescharacteristic
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2411yescharacteristic
1422C2×C42C2411yescharacteristic
1423C2×C42C2411yescharacteristic
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1526#95C2411yescharacteristic
1527#95C2411yescharacteristic
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532C24C2512yes—
1533C24C2512yes—
1534C24C2512yes—
1535C24C2512yes—
1536C2×Q8—22no—
1537C2×Q8—24no—
1538C2×Q8—22no—
1539C2×Q8—24no—
1540C2×Q8—24no—
1541C2×Q8—22no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8H(5,𝔽2)14yes—
1561C2×D4—22no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—41no—
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—42no—
1590C2×D4—41no—
1591C2×D4—41no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—41no—
1599C2×D4—41no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—41no—
1606C2×D4—41no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2511yescharacteristic
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2511yescharacteristic
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2511yescharacteristic
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2511yescharacteristic
1668C22×C4C2511yescharacteristic
1669C22×C4C2511yescharacteristic
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2511yescharacteristic
1673C22×C4C2512yes—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—22no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—41no—
1714C4⋊C4—41no—
1715C4⋊C4—42no—
1716C4⋊C4—41no—
1717C4⋊C4—42no—
1718C4⋊C4—41no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
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—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
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—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
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—
1835C42—24no—
1836C42—24no—
1837C42—22no—
1838C42—24no—
1839C42—22no—
1840C42—22no—
1841C42—22no—
1842C42—24no—
1843C42—24no—
1844C42—41no—
1845C42—42no—
1846C42—41no—
1847C42—41no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—41no—
1864C42—42no—
1865C42—41no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23C2611yescharacteristic
1900Q8—44no—
1901Q8—44no—
1902Q8—44no—
1903Q8—84no—
1904Q8—84no—
1905Q8—82no—
1906Q8—82no—
1907Q8—82no—
1908Q8—161no—
1909Q8—162no—
1910D4—48no—
1911D4—84no—
1912D4—84no—
1913D4—82no—
1914D4—84no—
1915D4—84no—
1916D4—162no—
1917D4—161no—
1918D4—162no—
1919D4—162no—
1920D4—162no—
1921D4—162no—
1922D4—161no—
1923D4—161no—
1924D4—162no—
1925D4—162no—
1926C2×C4—22no—
1927C2×C4—21no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—22no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—21no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
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—21no—
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—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—21no—
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—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—84no—
2011C2×C4—84no—
2012C2×C4—84no—
2013C2×C4—84no—
2014C2×C4—162no—
2015C2×C4—162no—
2016C2×C4—162no—
2017C2×C4—162no—
2018C2×C4—162no—
2019C2×C4—162no—
2020C2×C4—162no—
2021C2×C4—162no—
2022C2×C4C2×H(5,𝔽2)12yes—
2023C2×C4C2×H(5,𝔽2)14yes—
2024C2×C4#58514yes—
2025C2×C4#58512yes—
2026C2×C4#58514yes—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22—42no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—42no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22C22×H(5,𝔽2)11yescharacteristic
2056C22C2×#58512yes—
2057C22C2×#58512yes—
2058C22C2×#58511yescharacteristic
2059C222−1+611yescharacteristic
2060C4—24no—
2061C4—24no—
2062C4—22no—
2063C4—24no—
2064C4—22no—
2065C4—42no—
2066C4—42no—
2067C4—41no—
2068C4—41no—
2069C4—41no—
2070C4—42no—
2071C4—42no—
2072C4—42no—
2073C4—42no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—41no—
2084C4—42no—
2085C4—41no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C2—82no—
2092C2—82no—
2093C2—82no—
2094C2—82no—
2095C2#6282211yescharacteristic
2096C2#6282712yes—
2097C2#6291911yescharacteristic
2098C2#6296812yes—
2099C2#6302011yescharacteristic
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. #58804C2semidirect
2. #58546C2semidirect
3. #57120C2semidirect
4. #54975C2semidirect
5. #54717C2semidirect
6. #51873C2semidirect
7. #51737C2semidirect
8. #51462C2semidirect
9. #50896C2semidirect
10. #50834C2semidirect
11. #50321C2semidirect
12. #50112C2semidirect
13. #49894C2semidirect
14. #49580C2semidirect
15. #49164C2semidirect
16. #45338C2semidirect
17. #44896C2semidirect
18. #44863C2semidirect
19. #44778C2semidirect
20. #44725C2semidirect
21. #44602C2semidirect
22. #44559C2semidirect
23. #44551C2semidirect
24. #44257C2semidirect
25. #43396C2semidirect
26. #42344C2semidirect
27. #41875C2semidirect
28. #41714C2semidirect
29. #41285C2semidirect
30. #41248C2semidirect
31. #36074C2semidirect
32. #35956C2semidirect
33. #35897C2semidirect
34. #35886C2semidirect
35. #35781C2semidirect

Maximal subgroups

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

subgroupindex
#588042
#585462
#571202
#549752
#547172
#518732
#517372
#514622
#508962
#508342
#503212
#501122
#498942
#495802
#491642
#453382
#448962
#448632
#447782
#447252
#446022
#445592
#445512
#442572
#433962
#423442
#418752
#417142
#412852
#412482
#360742
#359562
#358972
#358862
#357812