Finite Group Databasebeta

← #9704521

Subgroups — #9704521

Order 512.

4477 conjugacy classes of subgroups.

The subgroup lattice has 2174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58432C212yesmaximal, complemented
2#58327C212yesmaximal, complemented
3#58033C212yesmaximal, complemented
4#57599C211yesmaximal, characteristic, complemented
5#57120C212yesmaximal, complemented
6#56506C212yesmaximal, complemented
7#55882C212yesmaximal, complemented
8#55725C212yesmaximal, complemented
9#55586C212yesmaximal, complemented
10#55420C212yesmaximal, complemented
11#53236C212yesmaximal, complemented
12#52042C212yesmaximal, complemented
13#52002C211yesmaximal, characteristic, complemented
14#50320C212yesmaximal, complemented
15#50155C212yesmaximal, complemented
16#49482C212yesmaximal, complemented
17#49042C212yesmaximal, complemented
18#47836C211yesmaximal, characteristic, complemented
19#47306C212yesmaximal, complemented
20#46550C212yesmaximal, complemented
21#46360C212yesmaximal, complemented
22#45271C211yesmaximal, characteristic, complemented
23#44306C211yesmaximal, characteristic, complemented
24#44279C212yesmaximal, complemented
25#43041C212yesmaximal, complemented
26#42916C211yesmaximal, characteristic, complemented
27#42057C211yesmaximal, characteristic, complemented
28#41021C212yesmaximal, complemented
29#40973C212yesmaximal, complemented
30#40483C212yesmaximal, complemented
31#40449C212yesmaximal, complemented
32#40366C212yesmaximal, complemented
33#40118C212yesmaximal, complemented
34#39836C212yesmaximal, complemented
35#39409C212yesmaximal, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#539C2212yes—
39C2×#539C2211yescharacteristic
40C2×#537C2211yescharacteristic
41#2854C2212yes—
42#2854C2212yes—
43#2853C2212yes—
44#2841C2211yescharacteristic
45#2832C2212yes—
46#2831C2212yes—
47#2829C2212yes—
48#2828C2211yescharacteristic
49#2828C2212yes—
50#2827C2212yes—
51#2824C2212yes—
52#2824C2212yes—
53#2819C2211yescharacteristic
54#2818C2212yes—
55#2815C2212yes—
56#2814C2212yes—
57#2813C2212yes—
58#2808C2212yes—
59#2808C2212yes—
60#2808C2212yes—
61#2808C2212yes—
62#2804C2212yes—
63#2803C2212yes—
64#2803C2212yes—
65#2803C2212yes—
66#2801C2212yes—
67#2798C2212yes—
68#2797C2212yes—
69#2796C2212yes—
70#2793C2212yes—
71#2792C2212yes—
72#2787C2212yes—
73#2787C2212yes—
74#2784C2212yes—
75#2784C2212yes—
76#2784C2212yes—
77#2782C2212yes—
78#2781C2212yes—
79#2781C2212yes—
80#2780C2212yes—
81#2779C2212yes—
82#2778C2212yes—
83#2778C2212yes—
84#2776C2212yes—
85#2774C2212yes—
86#2772C2212yes—
87#2770C2212yes—
88#2769C2212yes—
89#2767C2212yes—
90#2763C2211yescharacteristic
91#2760C2211yescharacteristic
92#2759C2212yes—
93#2757C2212yes—
94#2756C2212yes—
95#2756C2212yes—
96#2756C2212yes—
97#2754C2212yes—
98#2753C2212yes—
99#2752C2211yescharacteristic
100#2751C2212yes—
101#2749C2212yes—
102#2749C2212yes—
103#2745C2212yes—
104#2743C2212yes—
105#2742C2211yescharacteristic
106#2741C2212yes—
107#2740C2212yes—
108#2739C2212yes—
109#2737C2212yes—
110#2731C2212yes—
111#2729C2212yes—
112#2728C2212yes—
113#2728C2212yes—
114#2728C2212yes—
115#2728C2212yes—
116#2726C2212yes—
117#2723C2212yes—
118#2723C2212yes—
119#2722C2212yes—
120#2722C2212yes—
121#2718C2212yes—
122#2717C2212yes—
123#2716C2212yes—
124#2715C2212yes—
125#2715C2212yes—
126#2714C2212yes—
127#2714C2212yes—
128#2714C2212yes—
129#2714C2212yes—
130#2714C2212yes—
131#2714C2212yes—
132#2714C2212yes—
133#2714C2212yes—
134#2712C2212yes—
135#2710C2212yes—
136#2710C2212yes—
137#2710C2212yes—
138#2709C2211yescharacteristic
139#2709C2212yes—
140#2709C2211yescharacteristic
141#2707C2212yes—
142#2707C2212yes—
143#2706C2212yes—
144#2706C2212yes—
145#2705C2212yes—
146#2703C2212yes—
147#2703C2212yes—
148#2703C2212yes—
149#2703C2212yes—
150#2703C2212yes—
151#2703C2212yes—
152#2702C2212yes—
153#2702C2212yes—
154#2701C2212yes—
155#2701C2212yes—
156#2699C2212yes—
157#2698C2212yes—
158#2696C2212yes—
159#2696C2212yes—
160#2696C2212yes—
161#2696C2212yes—
162#2696C2212yes—
163#2695C2212yes—
164#2694C2212yes—
165#2693C2212yes—
166#2693C2212yes—
167#2691C2212yes—
168#2691C2212yes—
169#2690C2212yes—
170#2690C2212yes—
171#2689C2212yes—
172#2687C2212yes—
173#2687C2212yes—
174#2686C2212yes—
175#2682C2212yes—
176#2682C2212yes—
177#2682C2212yes—
178#2681C2212yes—
179#2681C2212yes—
180#2680C2212yes—
181#2676C2212yes—
182#2674C2212yes—
183#2673C2212yes—
184#2673C2212yes—
185#2673C2212yes—
186#2673C2212yes—
187#2673C2212yes—
188#2671C2212yes—
189#2666C2212yes—
190#2666C2212yes—
191#2662C2212yes—
192#2662C2212yes—
193#2661C2212yes—
194#2661C2212yes—
195#2661C2212yes—
196#2661C2212yes—
197#2661C2212yes—
198#2657C2212yes—
199#2655C2212yes—
200#2654C2212yes—
201#2651C2212yes—
202#2650C2212yes—
203#2648C2212yes—
204#2648C2212yes—
205#2635C2211yescharacteristic
206#2632C2212yes—
207#2631C2212yes—
208#2630C2212yes—
209#2630C2212yes—
210#2618C2212yes—
211#2616C2211yescharacteristic
212#2615C2211yescharacteristic
213#2612C2211yescharacteristic
214#2607C2211yescharacteristic
215#2606C2212yes—
216#2605C2212yes—
217#2603C2212yes—
218#2602C2212yes—
219#2602C2212yes—
220#2602C2212yes—
221#2602C2212yes—
222#2601C2212yes—
223#2600C2212yes—
224#2595C2212yes—
225#2594C2212yes—
226#2593C2212yes—
227#2591C2212yes—
228#2590C2212yes—
229#2589C2212yes—
230#2585C2212yes—
231#2583C2212yes—
232#2580C2211yescharacteristic
233#2579C2211yescharacteristic
234#2578C2212yes—
235#2577C2212yes—
236#2577C2212yes—
237#2577C2212yes—
238#2576C2212yes—
239#2576C2212yes—
240#2575C2212yes—
241#2563C2212yes—
242#2560C2212yes—
243#2558C2212yes—
244#2557C2212yes—
245#2557C2212yes—
246#2557C2212yes—
247#2557C2212yes—
248#2556C2212yes—
249#2555C2211yescharacteristic
250#2554C2212yes—
251#2554C2212yes—
252#2554C2212yes—
253#2554C2212yes—
254#2553C2212yes—
255#2538C2212yes—
256#2538C2212yes—
257#2535C2211yescharacteristic
258#2533C2212yes—
259#2532C2212yes—
260#2531C2212yes—
261#2530C2212yes—
262#2530C2212yes—
263#2528C2212yes—
264#2525C2212yes—
265#2525C2212yes—
266#2525C2212yes—
267#2525C2212yes—
268#2523C2212yes—
269#2518C2212yes—
270#2515C2212yes—
271#2513C2212yes—
272#2512C2212yes—
273#2512C2212yes—
274#2511C2212yes—
275#2506C2212yes—
276#2506C2212yes—
277#2506C2212yes—
278#2502C2211yescharacteristic
279#2496C2212yes—
280#2496C2212yes—
281#2491C2212yes—
282#2490C2212yes—
283#2490C2212yes—
284#2490C2212yes—
285#2486C2211yescharacteristic
286#2485C2212yes—
287#2481C2212yes—
288#2481C2212yes—
289#2481C2212yes—
290#2481C2212yes—
291#2474C2212yes—
292#2473C2212yes—
293#2469C2212yes—
294#2468C2212yes—
295#2467C2212yes—
296#2467C2212yes—
297#2467C2212yes—
298#2466C2212yes—
299#2465C2212yes—
300#2464C2212yes—
301#2464C2212yes—
302#2464C2212yes—
303#2464C2212yes—
304#2464C2212yes—
305#2463C2211yescharacteristic
306#2461C2212yes—
307#2461C2212yes—
308#2460C2212yes—
309#2460C2212yes—
310#2460C2212yes—
311#2459C2212yes—
312#2458C2212yes—
313#2458C2212yes—
314#2457C2212yes—
315#2456C2212yes—
316#2456C2212yes—
317#2456C2212yes—
318#2455C2211yescharacteristic
319#2455C2212yes—
320#2455C2212yes—
321#2451C2212yes—
322#2449C2212yes—
323#2446C2212yes—
324#2445C2212yes—
325#2445C2212yes—
326#2443C2212yes—
327#2443C2212yes—
328#2443C2212yes—
329#2442C2212yes—
330#2442C2212yes—
331#2431C2212yes—
332#2429C2212yes—
333#2428C2212yes—
334#2428C2212yes—
335#2422C2212yes—
336#2422C2212yes—
337#2422C2212yes—
338#2414C2212yes—
339#2413C2212yes—
340#2407C2212yes—
341#2407C2212yes—
342#2407C2212yes—
343#2407C2212yes—
344#2406C2212yes—
345#2406C2211yescharacteristic
346#2398C2211yescharacteristic
347#2392C2212yes—
348#2388C2211yescharacteristic
349#2383C2212yes—
350#2378C2211yescharacteristic
351#2376C2211yescharacteristic
352#2374C2212yes—
353#2374C2211yescharacteristic
354#2373C2212yes—
355#2373C2212yes—
356#2372C2212yes—
357#2366C2212yes—
358#2362C2212yes—
359#2361C2212yes—
360#2361C2212yes—
361#2360C2212yes—
362D4×C4⋊C4C2212yes—
363#2341C2211yescharacteristic
364#2337C2212yes—
365#2335C2212yes—
366#2335C2212yes—
367#2335C2212yes—
368#2334C2212yes—
369#2334C2212yes—
370#2332C2212yes—
371#2331C2211yescharacteristic
372#2328C2211yescharacteristic
373#2326C2212yes—
374#2322C2212yes—
375C4×C22⋊Q8C2212yes—
376C4×C22⋊Q8C2212yes—
377C4×#121C2212yes—
378C4×#121C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C22×#41C2311yescharacteristic
382#554—44no—
383#547—44no—
384#539—48no—
385#539—44no—
386#537—44no—
387C2×C4⋊Q8C2311yescharacteristic
388C2×C4⋊Q8C2312yes—
389C2×#127C2312yes—
390C2×#127C2311yescharacteristic
391C2×#127C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2311yescharacteristic
419C2×#123C2311yescharacteristic
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×#117C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2311yescharacteristic
481C22×C42C2312yes—
482#401C2312yes—
483#401C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2311yescharacteristic
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#399C2311yescharacteristic
515#399C2311yescharacteristic
516#399C2311yescharacteristic
517#399C2312yes—
518#399C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#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#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
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#396C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2311yescharacteristic
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2311yescharacteristic
621#394C2311yescharacteristic
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
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#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2311yescharacteristic
680#393C2312yes—
681#393C2312yes—
682#393C2311yescharacteristic
683#393C2311yescharacteristic
684#393C2312yes—
685#393C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2311yescharacteristic
708#392C2311yescharacteristic
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2311yescharacteristic
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2311yescharacteristic
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
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#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
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#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#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#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2311yescharacteristic
945#386C2311yescharacteristic
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2311yescharacteristic
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2311yescharacteristic
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#384C2312yes—
1022#384C2312yes—
1023#384C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2311yescharacteristic
1032#382C2311yescharacteristic
1033#382C2312yes—
1034#382C2312yes—
1035#381C2312yes—
1036#381C2311yescharacteristic
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2311yescharacteristic
1041#381C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2311yescharacteristic
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100#376C2312yes—
1101#376C2311yescharacteristic
1102#376C2312yes—
1103C2×#41—24no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—82no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2411yescharacteristic
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2411yescharacteristic
1156C23×C4C2411yescharacteristic
1157C23×C4C2412yes—
1158C4⋊Q8—24no—
1159C4⋊Q8—82no—
1160#127—42no—
1161#127—44no—
1162#127—82no—
1163#126—44no—
1164#126—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#126—44no—
1170#126—44no—
1171#126—82no—
1172#125—44no—
1173#125—44no—
1174#125—44no—
1175#125—44no—
1176#124—44no—
1177#124—44no—
1178#124—44no—
1179#124—82no—
1180#124—82no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190#123—44no—
1191#123—44no—
1192#123—44no—
1193#123—42no—
1194#123—42no—
1195#123—44no—
1196#123—82no—
1197#123—82no—
1198#123—82no—
1199#123—82no—
1200#123—82no—
1201C22⋊Q8—28no—
1202C22⋊Q8—28no—
1203C22⋊Q8—24no—
1204C22⋊Q8—28no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—42no—
1211C22⋊Q8—82no—
1212#121—44no—
1213#121—44no—
1214#121—42no—
1215#121—44no—
1216#121—44no—
1217#121—44no—
1218#121—44no—
1219#121—44no—
1220#121—44no—
1221#121—44no—
1222#121—44no—
1223#121—82no—
1224#121—82no—
1225#121—82no—
1226#121—82no—
1227#121—82no—
1228C4×Q8—42no—
1229C4×Q8—82no—
1230C4×Q8—82no—
1231C4×D4—42no—
1232C4×D4—44no—
1233C4×D4—42no—
1234C4×D4—42no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—44no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242C4×D4—82no—
1243C4×D4—82no—
1244C4×D4—82no—
1245C4×D4—82no—
1246#117—82no—
1247C2×C4⋊C4—42no—
1248C2×C4⋊C4—42no—
1249C2×C4⋊C4—44no—
1250C2×C4⋊C4—44no—
1251C2×C4⋊C4—44no—
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⋊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⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊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⋊C4C2411yescharacteristic
1349C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2411yescharacteristic
1423C2×C22⋊C4C2411yescharacteristic
1424C2×C42—82no—
1425C2×C42C2411yescharacteristic
1426C2×C42C2412yes—
1427C2×C42C2411yescharacteristic
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2411yescharacteristic
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#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#95C2411yescharacteristic
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2411yescharacteristic
1532#95C2411yescharacteristic
1533#95C2412yes—
1534#95C2412yes—
1535#95C2411yescharacteristic
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547C24C2512yes—
1548C24C2512yes—
1549C24C2511yescharacteristic
1550C24C2512yes—
1551C24C2512yes—
1552C24C2511yescharacteristic
1553#41—88no—
1554#41—88no—
1555#41—88no—
1556C2×Q8—22no—
1557C2×Q8—42no—
1558C2×Q8—41no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8H(5,𝔽2)14yes—
1570C2×D4—22no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—22no—
1574C2×D4—24no—
1575C2×D4—22no—
1576C2×D4—41no—
1577C2×D4—42no—
1578C2×D4—41no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—41no—
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—42no—
1591C2×D4—41no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—41no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—22no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—24no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—41no—
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×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—41no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—41no—
1689C22×C4—41no—
1690C22×C4—41no—
1691C22×C4—41no—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2511yescharacteristic
1704C22×C4C2511yescharacteristic
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—22no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—41no—
1743C4⋊C4—41no—
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—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—41no—
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—41no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
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—41no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—41no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—41no—
1821C22⋊C4—41no—
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—41no—
1863C22⋊C4—42no—
1864C22⋊C4—41no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C42—22no—
1894C42—24no—
1895C42—22no—
1896C42—24no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—41no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C23—22no—
1920C23—22no—
1921C23—21no—
1922C23—22no—
1923C23—21no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—21no—
1933C23—22no—
1934C23—22no—
1935C23—21no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—21no—
1952C23—22no—
1953C23—22no—
1954C23—21no—
1955C23—22no—
1956C23—22no—
1957C23C2611yescharacteristic
1958Q8—44no—
1959Q8—82no—
1960Q8—82no—
1961Q8—84no—
1962Q8—82no—
1963Q8—162no—
1964D4—48no—
1965D4—44no—
1966D4—44no—
1967D4—84no—
1968D4—82no—
1969D4—84no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975D4—84no—
1976D4—84no—
1977D4—82no—
1978D4—84no—
1979D4—84no—
1980D4—161no—
1981D4—162no—
1982D4—162no—
1983D4—162no—
1984D4—162no—
1985D4—162no—
1986D4—162no—
1987D4—162no—
1988D4—162no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—21no—
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—21no—
2009C2×C4—21no—
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—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—44no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—84no—
2073C2×C4—82no—
2074C2×C4—84no—
2075C2×C4—84no—
2076C2×C4—82no—
2077C2×C4—84no—
2078C2×C4—84no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—161no—
2082C2×C4—162no—
2083C2×C4—162no—
2084C2×C4—161no—
2085C2×C4—161no—
2086C2×C4C2×H(5,𝔽2)12yes—
2087C2×C4C2×H(5,𝔽2)14yes—
2088C2×C4#58514yes—
2089C2×C4#58512yes—
2090C22—41no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—41no—
2096C22—41no—
2097C22—42no—
2098C22—41no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—41no—
2114C22—42no—
2115C22—41no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22C22×H(5,𝔽2)11yescharacteristic
2129C22C2×#58512yes—
2130C22C2×#58511yescharacteristic
2131C22H(7,𝔽2)12yes—
2132C222−1+611yescharacteristic
2133C4—22no—
2134C4—24no—
2135C4—24no—
2136C4—22no—
2137C4—42no—
2138C4—41no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—41no—
2143C4—41no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C2—81no—
2163C2—82no—
2164C2—82no—
2165C2—82no—
2166C2—81no—
2167C2—82no—
2168C2#6286311yescharacteristic
2169C2#6286812yes—
2170C2#6291911yescharacteristic
2171C2#6296912yes—
2172C2#6302211yescharacteristic
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. #58432C2semidirect
2. #58327C2semidirect
3. #58033C2semidirect
4. #57599C2semidirect
5. #57120C2semidirect
6. #56506C2semidirect
7. #55882C2semidirect
8. #55725C2semidirect
9. #55586C2semidirect
10. #55420C2semidirect
11. #53236C2semidirect
12. #52042C2semidirect
13. #52002C2semidirect
14. #50320C2semidirect
15. #50155C2semidirect
16. #49482C2semidirect
17. #49042C2semidirect
18. #47836C2semidirect
19. #47306C2semidirect
20. #46550C2semidirect
21. #46360C2semidirect
22. #45271C2semidirect
23. #44306C2semidirect
24. #44279C2semidirect
25. #43041C2semidirect
26. #42916C2semidirect
27. #42057C2semidirect
28. #41021C2semidirect
29. #40973C2semidirect
30. #40483C2semidirect
31. #40449C2semidirect
32. #40366C2semidirect
33. #40118C2semidirect
34. #39836C2semidirect
35. #39409C2semidirect

Maximal subgroups

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

subgroupindex
#584322
#583272
#580332
#575992
#571202
#565062
#558822
#557252
#555862
#554202
#532362
#520422
#520022
#503202
#501552
#494822
#490422
#478362
#473062
#465502
#463602
#452712
#443062
#442792
#430412
#429162
#420572
#410212
#409732
#404832
#404492
#403662
#401182
#398362
#394092