Finite Group Databasebeta

← #9515302

Subgroups — #9515302

Order 512.

4385 conjugacy classes of subgroups.

The subgroup lattice has 2170 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58026C212yesmaximal, complemented
2#57725C212yesmaximal, complemented
3#57523C212yesmaximal, complemented
4#57521C212yesmaximal, complemented
5#56929C212yesmaximal, complemented
6#56296C212yesmaximal, complemented
7#54989C212yesmaximal, complemented
8#54364C212yesmaximal, complemented
9#54185C212yesmaximal, complemented
10#54031C212yesmaximal, complemented
11#54026C212yesmaximal, complemented
12#53412C212yesmaximal, complemented
13#53182C211yesmaximal, characteristic, complemented
14#52604C212yesmaximal, complemented
15#51977C212yesmaximal, complemented
16#51827C212yesmaximal, complemented
17#49407C212yesmaximal, complemented
18#49028C212yesmaximal, complemented
19#48656C212yesmaximal, complemented
20#47092C212yesmaximal, complemented
21#46415C212yesmaximal, complemented
22#45972C211yesmaximal, characteristic, complemented
23#44457C212yesmaximal, complemented
24#44237C212yesmaximal, complemented
25#43432C212yesmaximal, complemented
26#42159C212yesmaximal, complemented
27#42119C212yesmaximal, complemented
28#41495C212yesmaximal, complemented
29#41170C212yesmaximal, complemented
30#40869C212yesmaximal, complemented
31#39806C211yesmaximal, characteristic, complemented
32#38922C211yesmaximal, characteristic, complemented
33#37747C211yesmaximal, characteristic, complemented
34#37155C211yesmaximal, characteristic, complemented
35#36762C211yesmaximal, characteristic, complemented
36C2×#562C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#540C2212yes—
39C2×#537C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2854C2211yescharacteristic
43#2851C2211yescharacteristic
44#2850C2211yescharacteristic
45#2844C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2838C2212yes—
49#2838C2212yes—
50#2836C2212yes—
51#2836C2212yes—
52#2831C2212yes—
53#2831C2212yes—
54#2827C2212yes—
55#2827C2212yes—
56#2827C2212yes—
57#2826C2212yes—
58#2825C2212yes—
59#2825C2212yes—
60#2824C2212yes—
61#2822C2211yescharacteristic
62#2820C2211yescharacteristic
63#2817C2212yes—
64#2814C2212yes—
65#2810C2211yescharacteristic
66#2807C2212yes—
67#2807C2212yes—
68#2806C2211yescharacteristic
69#2805C2212yes—
70#2804C2211yescharacteristic
71#2802C2212yes—
72#2800C2212yes—
73#2800C2212yes—
74#2799C2212yes—
75#2798C2212yes—
76#2798C2212yes—
77#2798C2212yes—
78#2797C2212yes—
79#2794C2212yes—
80#2794C2212yes—
81#2791C2212yes—
82#2790C2212yes—
83#2789C2212yes—
84#2787C2212yes—
85#2784C2212yes—
86#2784C2212yes—
87#2784C2212yes—
88#2783C2212yes—
89#2783C2212yes—
90#2782C2212yes—
91#2781C2212yes—
92#2781C2212yes—
93#2776C2212yes—
94#2776C2212yes—
95#2775C2212yes—
96#2774C2212yes—
97#2773C2212yes—
98#2771C2212yes—
99#2770C2212yes—
100#2768C2212yes—
101#2766C2212yes—
102#2763C2212yes—
103#2762C2212yes—
104#2759C2212yes—
105#2758C2212yes—
106#2757C2212yes—
107#2756C2212yes—
108#2755C2212yes—
109#2754C2212yes—
110#2752C2212yes—
111#2751C2212yes—
112#2751C2212yes—
113#2750C2212yes—
114#2750C2212yes—
115#2750C2212yes—
116#2749C2212yes—
117#2749C2212yes—
118#2747C2212yes—
119#2746C2212yes—
120#2745C2212yes—
121#2743C2212yes—
122#2741C2212yes—
123#2741C2212yes—
124#2741C2212yes—
125#2739C2212yes—
126#2739C2212yes—
127#2733C2211yescharacteristic
128#2732C2212yes—
129#2732C2212yes—
130#2732C2211yescharacteristic
131#2728C2212yes—
132#2724C2211yescharacteristic
133#2720C2212yes—
134#2719C2212yes—
135#2718C2212yes—
136#2717C2212yes—
137#2717C2212yes—
138#2715C2212yes—
139#2715C2212yes—
140#2713C2212yes—
141#2710C2212yes—
142#2709C2212yes—
143#2708C2212yes—
144#2708C2212yes—
145#2708C2212yes—
146#2708C2212yes—
147#2706C2212yes—
148#2706C2212yes—
149#2706C2212yes—
150#2705C2212yes—
151#2703C2212yes—
152#2702C2212yes—
153#2700C2212yes—
154#2699C2212yes—
155#2698C2212yes—
156#2696C2212yes—
157#2696C2212yes—
158#2696C2212yes—
159#2696C2212yes—
160#2693C2212yes—
161#2693C2212yes—
162#2693C2212yes—
163#2692C2212yes—
164#2691C2212yes—
165#2691C2212yes—
166#2690C2212yes—
167#2690C2212yes—
168#2689C2212yes—
169#2688C2212yes—
170#2688C2212yes—
171#2688C2212yes—
172#2688C2212yes—
173#2688C2212yes—
174#2688C2212yes—
175#2688C2212yes—
176#2688C2212yes—
177#2688C2212yes—
178#2687C2212yes—
179#2687C2212yes—
180#2687C2212yes—
181#2686C2212yes—
182#2686C2212yes—
183#2683C2211yescharacteristic
184#2682C2211yescharacteristic
185#2681C2212yes—
186#2681C2212yes—
187#2680C2212yes—
188#2680C2212yes—
189#2675C2212yes—
190#2674C2212yes—
191#2673C2212yes—
192#2673C2212yes—
193#2673C2212yes—
194#2672C2212yes—
195#2672C2212yes—
196#2672C2212yes—
197#2671C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2671C2212yes—
201#2666C2212yes—
202#2665C2212yes—
203#2661C2212yes—
204#2656C2211yescharacteristic
205#2655C2212yes—
206#2655C2212yes—
207#2654C2212yes—
208#2653C2212yes—
209#2652C2212yes—
210#2652C2212yes—
211#2652C2212yes—
212#2650C2212yes—
213#2649C2212yes—
214#2649C2212yes—
215#2648C2212yes—
216#2643C2212yes—
217#2643C2212yes—
218#2643C2212yes—
219#2639C2212yes—
220#2639C2211yescharacteristic
221#2639C2211yescharacteristic
222#2630C2212yes—
223#2630C2212yes—
224#2627C2211yescharacteristic
225#2627C2211yescharacteristic
226#2627C2211yescharacteristic
227#2625C2212yes—
228#2624C2212yes—
229#2623C2212yes—
230#2609C2212yes—
231#2602C2212yes—
232#2602C2212yes—
233#2598C2212yes—
234#2598C2212yes—
235#2589C2212yes—
236#2587C2212yes—
237#2585C2212yes—
238#2577C2212yes—
239#2577C2212yes—
240#2577C2212yes—
241#2576C2212yes—
242#2576C2212yes—
243#2576C2212yes—
244#2575C2212yes—
245#2573C2212yes—
246#2572C2212yes—
247#2569C2212yes—
248#2569C2212yes—
249#2567C2211yescharacteristic
250#2564C2212yes—
251#2564C2212yes—
252#2559C2212yes—
253#2557C2212yes—
254#2557C2212yes—
255#2555C2212yes—
256#2549C2212yes—
257#2544C2212yes—
258#2543C2212yes—
259#2538C2211yescharacteristic
260#2537C2212yes—
261#2535C2212yes—
262#2520C2212yes—
263#2517C2212yes—
264#2516C2212yes—
265#2510C2212yes—
266#2510C2212yes—
267#2505C2212yes—
268#2505C2212yes—
269#2505C2212yes—
270#2505C2212yes—
271#2504C2212yes—
272#2499C2212yes—
273#2499C2212yes—
274#2498C2212yes—
275#2498C2212yes—
276#2497C2212yes—
277#2493C2212yes—
278#2493C2212yes—
279#2493C2212yes—
280#2488C2212yes—
281#2488C2212yes—
282#2488C2212yes—
283#2485C2212yes—
284#2485C2212yes—
285#2481C2212yes—
286#2481C2212yes—
287#2477C2212yes—
288#2477C2212yes—
289#2477C2212yes—
290#2476C2212yes—
291#2476C2212yes—
292#2476C2212yes—
293#2476C2212yes—
294#2475C2212yes—
295#2474C2212yes—
296#2473C2212yes—
297#2471C2212yes—
298#2471C2212yes—
299#2471C2212yes—
300#2470C2212yes—
301#2470C2212yes—
302#2470C2212yes—
303#2470C2212yes—
304#2465C2212yes—
305#2464C2212yes—
306#2463C2212yes—
307#2463C2212yes—
308#2463C2212yes—
309#2461C2212yes—
310#2460C2212yes—
311#2456C2212yes—
312#2450C2212yes—
313#2450C2212yes—
314#2450C2212yes—
315#2450C2212yes—
316#2449C2212yes—
317#2444C2212yes—
318#2444C2212yes—
319#2444C2212yes—
320#2444C2212yes—
321#2444C2212yes—
322#2444C2212yes—
323#2443C2212yes—
324#2443C2212yes—
325#2443C2212yes—
326#2441C2212yes—
327#2438C2212yes—
328#2438C2212yes—
329#2438C2212yes—
330#2438C2212yes—
331#2430C2212yes—
332#2430C2212yes—
333#2430C2212yes—
334#2428C2212yes—
335#2427C2212yes—
336#2427C2212yes—
337#2425C2212yes—
338#2425C2212yes—
339#2425C2212yes—
340#2425C2212yes—
341#2422C2212yes—
342#2421C2212yes—
343#2419C2212yes—
344#2419C2212yes—
345#2416C2212yes—
346#2416C2212yes—
347#2415C2212yes—
348#2415C2212yes—
349#2413C2212yes—
350#2407C2212yes—
351#2406C2212yes—
352#2395C2212yes—
353C2×#400C2212yes—
354#2392C2212yes—
355#2383C2212yes—
356#2379C2211yescharacteristic
357#2364C2212yes—
358#2364C2212yes—
359#2364C2212yes—
360#2364C2212yes—
361#2364C2212yes—
362#2359C2212yes—
363#2359C2212yes—
364D4×C4⋊C4C2211yescharacteristic
365#2344C2212yes—
366#2339C2212yes—
367#2329C2211yescharacteristic
368#2329C2211yescharacteristic
369#2329C2211yescharacteristic
370#2325C2212yes—
371#2325C2212yes—
372#2325C2212yes—
373#2325C2211yescharacteristic
374#2325C2211yescharacteristic
375#2324C2212yes—
376#2316C2212yes—
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380#562—44no—
381#555—44no—
382#540—48no—
383#537—44no—
384C2×C4⋊Q8C2311yescharacteristic
385C2×#127C2312yes—
386#529—44no—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#125C2311yescharacteristic
390C2×#125C2311yescharacteristic
391C2×#125C2312yes—
392C2×#124C2311yescharacteristic
393C2×#124C2311yescharacteristic
394C2×#124C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
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×#121C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2311yescharacteristic
476C22×C42C2311yescharacteristic
477#401C2312yes—
478#401C2312yes—
479#401C2312yes—
480#401C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
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#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2311yescharacteristic
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2311yescharacteristic
747#390C2311yescharacteristic
748#390C2312yes—
749#390C2311yescharacteristic
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
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#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2311yescharacteristic
776#389C2311yescharacteristic
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
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#387C2312yes—
838#387C2312yes—
839#387C2312yes—
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#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
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#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#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#384C2312yes—
1019#384C2311yescharacteristic
1020#384C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#382C2311yescharacteristic
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊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—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2311yescharacteristic
1096C2×#95C2311yescharacteristic
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#41—44no—
1104C2×#41—44no—
1105C2×#41—82no—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2411yescharacteristic
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C4⋊Q8—42no—
1156#127—44no—
1157#126—44no—
1158#126—44no—
1159#125—42no—
1160#125—42no—
1161#125—44no—
1162#124—24no—
1163#124—42no—
1164#124—44no—
1165#124—44no—
1166#124—82no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—82no—
1177#123—82no—
1178#123—82no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182C22⋊Q8—42no—
1183C22⋊Q8—42no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—42no—
1189C22⋊Q8—42no—
1190C22⋊Q8—82no—
1191C22⋊Q8—82no—
1192C22⋊Q8—82no—
1193C22⋊Q8—82no—
1194C22⋊Q8—82no—
1195C22⋊Q8—82no—
1196C22⋊Q8—82no—
1197#121—24no—
1198#121—28no—
1199#121—28no—
1200#121—28no—
1201#121—42no—
1202#121—42no—
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—44no—
1213#121—42no—
1214#121—44no—
1215#121—44no—
1216#121—44no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220C4×Q8—42no—
1221C4×D4—24no—
1222C4×D4—42no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—82no—
1227C4×D4—82no—
1228C4×D4—82no—
1229C4×D4—82no—
1230C4×D4—82no—
1231C4×D4—82no—
1232C4×D4—82no—
1233C4×D4—82no—
1234C4×D4—82no—
1235#117—44no—
1236#117—44no—
1237#117—44no—
1238#117—44no—
1239#117—82no—
1240#117—82no—
1241#117—82no—
1242C2×C4⋊C4—44no—
1243C2×C4⋊C4—44no—
1244C2×C4⋊C4—42no—
1245C2×C4⋊C4—42no—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C42—42no—
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2411yescharacteristic
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541C24C2512yes—
1542C24C2512yes—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2511yescharacteristic
1546#41—816no—
1547C2×Q8—22no—
1548C2×Q8—42no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—41no—
1552C2×Q8—42no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—22no—
1577C2×D4—41no—
1578C2×D4—42no—
1579C2×D4—41no—
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—42no—
1591C2×D4—42no—
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—41no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—41no—
1607C2×D4—41no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—41no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—41no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—41no—
1621C2×D4—41no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4H(5,𝔽2)14yes—
1625C22×C4—24no—
1626C22×C4—22no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—22no—
1630C22×C4—22no—
1631C22×C4—24no—
1632C22×C4—22no—
1633C22×C4—24no—
1634C22×C4—22no—
1635C22×C4—41no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—41no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—41no—
1673C22×C4—41no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—41no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2511yescharacteristic
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2511yescharacteristic
1722C22×C4C2511yescharacteristic
1723C22×C4C2511yescharacteristic
1724C4⋊C4—24no—
1725C4⋊C4—22no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—22no—
1729C4⋊C4—22no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—41no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—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—41no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—41no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—41no—
1785C4⋊C4—42no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—41no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—41no—
1792C4⋊C4—42no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—41no—
1803C4⋊C4—41no—
1804C4⋊C4—41no—
1805C4⋊C4—42no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—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—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C42—22no—
1891C42—22no—
1892C42—41no—
1893C42—41no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C23—21no—
1911C23—21no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—21no—
1916C23—22no—
1917C23—21no—
1918C23—21no—
1919C23—21no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23C2×H(5,𝔽2)14yes—
1944C23#58512yes—
1945C23C2611yescharacteristic
1946Q8—82no—
1947Q8—84no—
1948Q8—161no—
1949Q8—161no—
1950Q8—161no—
1951Q8—162no—
1952D4—44no—
1953D4—48no—
1954D4—82no—
1955D4—84no—
1956D4—84no—
1957D4—84no—
1958D4—84no—
1959D4—84no—
1960D4—84no—
1961D4—84no—
1962D4—84no—
1963D4—84no—
1964D4—84no—
1965D4—84no—
1966D4—162no—
1967D4—161no—
1968D4—162no—
1969D4—162no—
1970D4—161no—
1971D4—162no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—22no—
1980C2×C4—21no—
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—22no—
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—21no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—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—21no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—21no—
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—21no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—21no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—48no—
2061C2×C4—44no—
2062C2×C4—84no—
2063C2×C4—82no—
2064C2×C4—82no—
2065C2×C4—82no—
2066C2×C4—84no—
2067C2×C4—82no—
2068C2×C4—84no—
2069C2×C4—84no—
2070C2×C4—84no—
2071C2×C4—84no—
2072C2×C4—84no—
2073C2×C4—84no—
2074C2×C4—162no—
2075C2×C4—162no—
2076C2×C4—162no—
2077C2×C4—161no—
2078C2×C4—162no—
2079C2×C4—162no—
2080C2×C4—162no—
2081C2×C4—161no—
2082C2×C4—162no—
2083C2×C4C2×H(5,𝔽2)12yes—
2084C2×C4#58512yes—
2085C22—24no—
2086C22—22no—
2087C22—24no—
2088C22—22no—
2089C22—24no—
2090C22—22no—
2091C22—42no—
2092C22—41no—
2093C22—41no—
2094C22—42no—
2095C22—41no—
2096C22—42no—
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—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22C22×H(5,𝔽2)11yescharacteristic
2121C22C2×#58511yescharacteristic
2122C22C2×#58511yescharacteristic
2123C22H(7,𝔽2)11yescharacteristic
2124C22H(7,𝔽2)11yescharacteristic
2125C222−1+611yescharacteristic
2126C222−1+611yescharacteristic
2127C4—22no—
2128C4—22no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—41no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—41no—
2141C4—42no—
2142C4—42no—
2143C4—41no—
2144C4—42no—
2145C4—42no—
2146C4—41no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C2—44no—
2158C2—42no—
2159C2—82no—
2160C2—82no—
2161C2—82no—
2162C2#6286611yescharacteristic
2163C2#6287311yescharacteristic
2164C2#6289811yescharacteristic
2165C2#6291811yescharacteristic
2166C2#6296511yescharacteristic
2167C2#6297511yescharacteristic
2168C2#6306511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58026C2semidirect
2. #57725C2semidirect
3. #57523C2semidirect
4. #57521C2semidirect
5. #56929C2semidirect
6. #56296C2semidirect
7. #54989C2semidirect
8. #54364C2semidirect
9. #54185C2semidirect
10. #54031C2semidirect
11. #54026C2semidirect
12. #53412C2semidirect
13. #53182C2semidirect
14. #52604C2semidirect
15. #51977C2semidirect
16. #51827C2semidirect
17. #49407C2semidirect
18. #49028C2semidirect
19. #48656C2semidirect
20. #47092C2semidirect
21. #46415C2semidirect
22. #45972C2semidirect
23. #44457C2semidirect
24. #44237C2semidirect
25. #43432C2semidirect
26. #42159C2semidirect
27. #42119C2semidirect
28. #41495C2semidirect
29. #41170C2semidirect
30. #40869C2semidirect
31. #39806C2semidirect
32. #38922C2semidirect
33. #37747C2semidirect
34. #37155C2semidirect
35. #36762C2semidirect

Maximal subgroups

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

subgroupindex
#580262
#577252
#575232
#575212
#569292
#562962
#549892
#543642
#541852
#540312
#540262
#534122
#531822
#526042
#519772
#518272
#494072
#490282
#486562
#470922
#464152
#459722
#444572
#442372
#434322
#421592
#421192
#414952
#411702
#408692
#398062
#389222
#377472
#371552
#367622