Finite Group Databasebeta

← #8756030

Subgroups — #8756030

Order 512.

4473 conjugacy classes of subgroups.

The subgroup lattice has 2278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57587C212yesmaximal, complemented
2#57276C212yesmaximal, complemented
3#57184C212yesmaximal, complemented
4#56918C212yesmaximal, complemented
5#56421C212yesmaximal, complemented
6#56395C212yesmaximal, complemented
7#55907C212yesmaximal, complemented
8#55593C212yesmaximal, complemented
9#54788C212yesmaximal, complemented
10#53792C212yesmaximal, complemented
11#53572C212yesmaximal, complemented
12#53539C212yesmaximal, complemented
13#51384C212yesmaximal, complemented
14#50360C212yesmaximal, complemented
15#50284C212yesmaximal, complemented
16#50086C212yesmaximal, complemented
17#50017C212yesmaximal, complemented
18#48016C212yesmaximal, complemented
19#47797C212yesmaximal, complemented
20#47723C212yesmaximal, complemented
21#47394C212yesmaximal, complemented
22#47337C212yesmaximal, complemented
23#46420C212yesmaximal, complemented
24#46418C212yesmaximal, complemented
25#46241C211yesmaximal, characteristic, complemented
26#46232C211yesmaximal, characteristic, complemented
27#46231C211yesmaximal, characteristic, complemented
28#46154C211yesmaximal, characteristic, complemented
29#46154C211yesmaximal, characteristic, complemented
30#46017C211yesmaximal, characteristic, complemented
31#46017C211yesmaximal, characteristic, complemented
32#46016C211yesmaximal, characteristic, complemented
33#46016C211yesmaximal, characteristic, complemented
34#46004C211yesmaximal, characteristic, complemented
35#45986C211yesmaximal, characteristic, complemented
36#45986C211yesmaximal, characteristic, complemented
37#35331C211yesmaximal, characteristic, complemented
38#35192C211yesmaximal, characteristic, complemented
39#35136C211yesmaximal, characteristic, complemented
40C2×#542C2211yescharacteristic
41C2×#542C2211yescharacteristic
42C2×#542C2212yes—
43C2×#536C2212yes—
44#2864C2211yescharacteristic
45#2864C2211yescharacteristic
46#2864C2211yescharacteristic
47#2862C2211yescharacteristic
48#2862C2211yescharacteristic
49#2862C2211yescharacteristic
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic
52#2850C2211yescharacteristic
53#2850C2211yescharacteristic
54#2850C2211yescharacteristic
55#2850C2211yescharacteristic
56#2845C2211yescharacteristic
57#2844C2211yescharacteristic
58#2844C2211yescharacteristic
59#2844C2211yescharacteristic
60#2839C2212yes—
61#2832C2212yes—
62#2832C2212yes—
63#2831C2212yes—
64#2831C2212yes—
65#2827C2212yes—
66#2826C2212yes—
67#2824C2212yes—
68#2819C2212yes—
69#2819C2212yes—
70#2819C2212yes—
71#2819C2211yescharacteristic
72#2819C2211yescharacteristic
73#2819C2211yescharacteristic
74#2819C2211yescharacteristic
75#2814C2212yes—
76#2814C2212yes—
77#2813C2212yes—
78#2811C2212yes—
79#2804C2212yes—
80#2804C2212yes—
81#2804C2212yes—
82#2803C2212yes—
83#2803C2212yes—
84#2799C2212yes—
85#2799C2212yes—
86#2799C2212yes—
87#2798C2212yes—
88#2798C2212yes—
89#2796C2212yes—
90#2795C2212yes—
91#2788C2212yes—
92#2788C2212yes—
93#2788C2212yes—
94#2788C2212yes—
95#2784C2212yes—
96#2783C2212yes—
97#2781C2212yes—
98#2781C2212yes—
99#2778C2212yes—
100#2778C2212yes—
101#2767C2212yes—
102#2763C2212yes—
103#2763C2212yes—
104#2763C2212yes—
105#2763C2212yes—
106#2762C2212yes—
107#2759C2212yes—
108#2759C2212yes—
109#2759C2212yes—
110#2753C2212yes—
111#2753C2212yes—
112#2753C2212yes—
113#2753C2212yes—
114#2751C2212yes—
115#2751C2212yes—
116#2751C2212yes—
117#2750C2212yes—
118#2749C2212yes—
119#2749C2212yes—
120#2745C2212yes—
121#2745C2212yes—
122#2742C2212yes—
123#2742C2212yes—
124#2737C2212yes—
125#2733C2212yes—
126#2733C2212yes—
127#2731C2212yes—
128#2730C2212yes—
129#2730C2212yes—
130#2729C2212yes—
131#2729C2212yes—
132#2729C2212yes—
133#2729C2212yes—
134#2729C2212yes—
135#2723C2212yes—
136#2723C2212yes—
137#2723C2212yes—
138#2718C2212yes—
139#2718C2212yes—
140#2717C2212yes—
141#2717C2212yes—
142#2716C2212yes—
143#2716C2212yes—
144#2716C2212yes—
145#2716C2212yes—
146#2716C2212yes—
147#2716C2212yes—
148#2715C2212yes—
149#2715C2212yes—
150#2714C2212yes—
151#2714C2212yes—
152#2712C2212yes—
153#2712C2212yes—
154#2712C2212yes—
155#2712C2212yes—
156#2712C2212yes—
157#2710C2212yes—
158#2710C2212yes—
159#2710C2212yes—
160#2708C2212yes—
161#2705C2212yes—
162#2703C2212yes—
163#2703C2212yes—
164#2702C2212yes—
165#2702C2212yes—
166#2702C2212yes—
167#2701C2212yes—
168#2701C2212yes—
169#2700C2212yes—
170#2700C2212yes—
171#2700C2212yes—
172#2700C2212yes—
173#2700C2212yes—
174#2700C2212yes—
175#2696C2212yes—
176#2696C2212yes—
177#2696C2212yes—
178#2693C2212yes—
179#2693C2212yes—
180#2692C2212yes—
181#2692C2212yes—
182#2692C2212yes—
183#2692C2212yes—
184#2692C2212yes—
185#2691C2212yes—
186#2689C2212yes—
187#2688C2212yes—
188#2688C2212yes—
189#2686C2212yes—
190#2686C2212yes—
191#2686C2212yes—
192#2683C2212yes—
193#2682C2212yes—
194#2682C2212yes—
195#2681C2212yes—
196#2680C2212yes—
197#2677C2212yes—
198#2677C2212yes—
199#2677C2212yes—
200#2676C2212yes—
201#2676C2212yes—
202#2676C2212yes—
203#2676C2212yes—
204#2675C2212yes—
205#2674C2212yes—
206#2674C2212yes—
207#2674C2212yes—
208#2673C2212yes—
209#2673C2212yes—
210#2672C2212yes—
211#2672C2212yes—
212#2671C2212yes—
213#2671C2212yes—
214#2665C2212yes—
215#2665C2212yes—
216#2662C2212yes—
217#2653C2212yes—
218#2653C2212yes—
219#2652C2212yes—
220#2651C2212yes—
221#2650C2212yes—
222#2650C2212yes—
223#2648C2212yes—
224#2640C2211yescharacteristic
225#2640C2211yescharacteristic
226#2640C2212yes—
227#2639C2212yes—
228#2639C2212yes—
229#2638C2212yes—
230#2636C2212yes—
231#2621C2211yescharacteristic
232#2619C2211yescharacteristic
233#2615C2212yes—
234#2610C2212yes—
235#2610C2212yes—
236#2610C2212yes—
237#2609C2212yes—
238#2605C2212yes—
239#2605C2212yes—
240#2602C2212yes—
241#2602C2212yes—
242#2598C2212yes—
243#2595C2212yes—
244#2595C2212yes—
245#2592C2212yes—
246#2592C2212yes—
247#2589C2212yes—
248#2589C2212yes—
249#2589C2212yes—
250#2589C2212yes—
251#2588C2212yes—
252#2581C2212yes—
253#2577C2212yes—
254#2574C2212yes—
255#2574C2212yes—
256#2571C2211yescharacteristic
257#2571C2211yescharacteristic
258#2568C2212yes—
259#2564C2212yes—
260#2560C2212yes—
261#2560C2212yes—
262#2560C2212yes—
263#2560C2212yes—
264#2559C2212yes—
265#2559C2212yes—
266#2557C2212yes—
267#2557C2212yes—
268#2557C2212yes—
269#2557C2212yes—
270#2557C2212yes—
271#2557C2212yes—
272#2555C2212yes—
273#2555C2212yes—
274#2554C2212yes—
275#2554C2212yes—
276#2553C2212yes—
277#2553C2212yes—
278#2551C2211yescharacteristic
279#2551C2211yescharacteristic
280#2549C2212yes—
281#2549C2212yes—
282#2545C2212yes—
283#2532C2212yes—
284#2532C2212yes—
285#2531C2212yes—
286#2528C2212yes—
287#2527C2212yes—
288#2527C2212yes—
289#2527C2212yes—
290#2526C2212yes—
291#2521C2212yes—
292#2505C2212yes—
293#2505C2212yes—
294#2505C2212yes—
295#2505C2212yes—
296#2492C2212yes—
297#2492C2212yes—
298#2492C2212yes—
299#2492C2212yes—
300#2491C2212yes—
301#2491C2212yes—
302#2491C2212yes—
303#2491C2212yes—
304#2488C2212yes—
305#2488C2212yes—
306#2479C2212yes—
307#2478C2212yes—
308#2477C2212yes—
309#2477C2212yes—
310#2476C2212yes—
311#2476C2212yes—
312#2476C2212yes—
313#2474C2212yes—
314#2474C2212yes—
315#2471C2212yes—
316#2465C2212yes—
317#2465C2212yes—
318#2463C2212yes—
319#2461C2212yes—
320#2461C2212yes—
321#2461C2212yes—
322#2459C2212yes—
323#2459C2212yes—
324#2458C2212yes—
325#2458C2212yes—
326#2458C2212yes—
327#2456C2212yes—
328#2456C2212yes—
329#2451C2212yes—
330#2451C2212yes—
331#2451C2212yes—
332#2450C2212yes—
333#2450C2212yes—
334#2448C2211yescharacteristic
335#2447C2211yescharacteristic
336#2446C2211yescharacteristic
337#2445C2211yescharacteristic
338#2439C2212yes—
339#2439C2212yes—
340#2439C2211yescharacteristic
341#2439C2211yescharacteristic
342#2439C2211yescharacteristic
343#2439C2211yescharacteristic
344#2438C2212yes—
345#2436C2212yes—
346#2436C2212yes—
347#2434C2212yes—
348#2434C2212yes—
349#2432C2212yes—
350#2432C2212yes—
351#2432C2212yes—
352#2431C2212yes—
353#2431C2212yes—
354#2430C2212yes—
355#2430C2212yes—
356#2430C2212yes—
357#2429C2211yescharacteristic
358#2428C2211yescharacteristic
359#2427C2211yescharacteristic
360#2426C2211yescharacteristic
361#2425C2212yes—
362#2415C2212yes—
363#2409C2212yes—
364#2409C2212yes—
365#2407C2212yes—
366#2407C2212yes—
367#2407C2212yes—
368#2379C2211yescharacteristic
369#2379C2211yescharacteristic
370#2379C2211yescharacteristic
371#2379C2211yescharacteristic
372#2379C2211yescharacteristic
373#2379C2211yescharacteristic
374#2379C2211yescharacteristic
375#2379C2211yescharacteristic
376#2378C2212yes—
377#2377C2212yes—
378#2373C2212yes—
379#2339C2212yes—
380#2335C2212yes—
381#2334C2212yes—
382#2333C2212yes—
383#2331C2212yes—
384#2331C2212yes—
385#2329C2212yes—
386#2328C2211yescharacteristic
387#2327C2211yescharacteristic
388C4×#124C2211yescharacteristic
389C4×#124C2211yescharacteristic
390C4×#124C2211yescharacteristic
391C4×#124C2211yescharacteristic
392#2285C2211yescharacteristic
393#2283C2211yescharacteristic
394C4×#117C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2312yes—
397C23×Q8C2312yes—
398#542—44no—
399#542—44no—
400#542—48no—
401#536—48no—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2311yescharacteristic
410C2×C4⋊Q8C2311yescharacteristic
411C2×C4⋊Q8C2311yescharacteristic
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2311yescharacteristic
414C2×C4⋊Q8C2312yes—
415C2×#127C2311yescharacteristic
416C2×#127C2311yescharacteristic
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#126C2312yes—
421C2×#126C2312yes—
422C2×#126C2312yes—
423C2×#124C2311yescharacteristic
424C2×#124C2311yescharacteristic
425C2×#124C2311yescharacteristic
426C2×#124C2311yescharacteristic
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2312yes—
431C2×#124C2311yescharacteristic
432C2×#124C2311yescharacteristic
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#124C2311yescharacteristic
440C2×#124C2311yescharacteristic
441C2×#124C2312yes—
442C2×#124C2312yes—
443C2×#124C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2311yescharacteristic
459C2×C22⋊Q8C2311yescharacteristic
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2311yescharacteristic
467C2×C22⋊Q8C2311yescharacteristic
468C2×C22⋊Q8C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2312yes—
473C2×C22⋊Q8C2312yes—
474C2×#121C2312yes—
475C2×#121C2311yescharacteristic
476C2×#121C2311yescharacteristic
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×#121C2311yescharacteristic
480C2×#121C2311yescharacteristic
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×#121C2312yes—
487C2×#121C2312yes—
488C2×#121C2312yes—
489C2×C4×Q8C2311yescharacteristic
490C2×C4×Q8C2312yes—
491C2×C4×Q8C2311yescharacteristic
492C2×C4×Q8C2311yescharacteristic
493C2×C4×Q8C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C22×C42C2311yescharacteristic
508#401C2312yes—
509#401C2312yes—
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#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
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#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#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#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
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#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#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
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#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#392C2312yes—
742#392C2312yes—
743#392C2312yes—
744#392C2312yes—
745#392C2312yes—
746#392C2312yes—
747#392C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2311yescharacteristic
765#391C2311yescharacteristic
766#391C2312yes—
767#391C2312yes—
768#391C2312yes—
769#391C2312yes—
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#391C2312yes—
775#391C2312yes—
776#391C2311yescharacteristic
777#391C2312yes—
778#391C2312yes—
779#391C2312yes—
780#391C2311yescharacteristic
781#391C2312yes—
782#391C2312yes—
783#391C2312yes—
784#391C2312yes—
785#391C2311yescharacteristic
786#391C2311yescharacteristic
787#391C2312yes—
788#391C2312yes—
789#391C2312yes—
790#391C2312yes—
791#391C2312yes—
792#391C2312yes—
793#391C2312yes—
794#391C2311yescharacteristic
795#391C2311yescharacteristic
796#390C2312yes—
797#390C2312yes—
798#390C2312yes—
799#390C2312yes—
800#390C2311yescharacteristic
801#390C2311yescharacteristic
802#390C2312yes—
803#390C2312yes—
804#390C2312yes—
805#390C2312yes—
806#390C2312yes—
807#390C2312yes—
808#390C2311yescharacteristic
809#390C2311yescharacteristic
810#390C2312yes—
811#390C2312yes—
812#390C2312yes—
813#390C2312yes—
814#390C2312yes—
815#390C2311yescharacteristic
816#390C2311yescharacteristic
817#390C2312yes—
818#390C2312yes—
819#390C2312yes—
820#390C2312yes—
821#390C2311yescharacteristic
822#390C2311yescharacteristic
823#389C2312yes—
824#389C2312yes—
825#389C2311yescharacteristic
826#389C2311yescharacteristic
827#389C2311yescharacteristic
828#389C2311yescharacteristic
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2312yes—
834#389C2312yes—
835#389C2311yescharacteristic
836#389C2311yescharacteristic
837#389C2312yes—
838#389C2312yes—
839#389C2311yescharacteristic
840#389C2311yescharacteristic
841#389C2311yescharacteristic
842#389C2311yescharacteristic
843#389C2311yescharacteristic
844#389C2311yescharacteristic
845#389C2312yes—
846#389C2312yes—
847#389C2312yes—
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#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
909#388C2312yes—
910#388C2312yes—
911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
919#388C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
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#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#386C2312yes—
1013#386C2312yes—
1014#386C2312yes—
1015#386C2312yes—
1016#386C2312yes—
1017#386C2312yes—
1018#386C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2312yes—
1048#385C2312yes—
1049#385C2312yes—
1050#385C2312yes—
1051#385C2312yes—
1052#385C2312yes—
1053#385C2312yes—
1054#385C2312yes—
1055#385C2312yes—
1056#385C2312yes—
1057#385C2312yes—
1058#385C2312yes—
1059#385C2312yes—
1060#384C2311yescharacteristic
1061#384C2311yescharacteristic
1062#383C2312yes—
1063#383C2312yes—
1064#382C2312yes—
1065#382C2312yes—
1066#382C2312yes—
1067#382C2311yescharacteristic
1068#382C2311yescharacteristic
1069#382C2311yescharacteristic
1070#382C2311yescharacteristic
1071#382C2312yes—
1072#382C2311yescharacteristic
1073#382C2312yes—
1074#382C2311yescharacteristic
1075#382C2311yescharacteristic
1076#382C2311yescharacteristic
1077#382C2311yescharacteristic
1078#382C2311yescharacteristic
1079#382C2311yescharacteristic
1080#382C2311yescharacteristic
1081#382C2311yescharacteristic
1082#382C2311yescharacteristic
1083#381C2312yes—
1084#381C2312yes—
1085#381C2312yes—
1086#381C2312yes—
1087#381C2312yes—
1088#381C2312yes—
1089#380C2312yes—
1090#380C2312yes—
1091#380C2312yes—
1092#380C2312yes—
1093#380C2312yes—
1094#380C2312yes—
1095#380C2312yes—
1096#380C2312yes—
1097#380C2312yes—
1098#380C2312yes—
1099#380C2312yes—
1100#380C2312yes—
1101#380C2312yes—
1102#380C2311yescharacteristic
1103#380C2311yescharacteristic
1104#380C2312yes—
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C4⋊C4C2312yes—
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C4⋊C4C2311yescharacteristic
1112C4×C4⋊C4C2312yes—
1113C4×C4⋊C4C2312yes—
1114C4×C4⋊C4C2312yes—
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2311yescharacteristic
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137#376C2311yescharacteristic
1138#376C2312yes—
1139#376C2311yescharacteristic
1140#376C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C2×#41—44no—
1147C2×#41—44no—
1148C2×#41—82no—
1149C2×#41—82no—
1150C2×#41—82no—
1151C2×#41—82no—
1152C22×Q8—44no—
1153C22×Q8—82no—
1154C22×Q8—82no—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×Q8C2412yes—
1166C22×Q8C2412yes—
1167C22×Q8C2412yes—
1168C22×D4C2411yescharacteristic
1169C22×D4C2411yescharacteristic
1170C22×D4C2411yescharacteristic
1171C22×D4C2411yescharacteristic
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C22×D4C2412yes—
1187C22×D4C2412yes—
1188C23×C4C2411yescharacteristic
1189C23×C4C2411yescharacteristic
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C4⋊Q8—28no—
1204C4⋊Q8—42no—
1205C4⋊Q8—42no—
1206C4⋊Q8—42no—
1207C4⋊Q8—44no—
1208C4⋊Q8—44no—
1209C4⋊Q8—82no—
1210C4⋊Q8—82no—
1211C4⋊Q8—81no—
1212C4⋊Q8—81no—
1213C4⋊Q8—81no—
1214C4⋊Q8—81no—
1215C4⋊Q8—81no—
1216#127—42no—
1217#127—81no—
1218#126—28no—
1219#126—44no—
1220#126—44no—
1221#126—44no—
1222#126—82no—
1223#126—82no—
1224#124—24no—
1225#124—24no—
1226#124—24no—
1227#124—24no—
1228#124—44no—
1229#124—42no—
1230#124—42no—
1231#124—44no—
1232#124—44no—
1233#124—44no—
1234#124—44no—
1235#124—44no—
1236#124—44no—
1237#124—82no—
1238#124—82no—
1239#124—81no—
1240#124—82no—
1241#124—82no—
1242#124—81no—
1243#124—82no—
1244#124—82no—
1245#123—28no—
1246#123—44no—
1247#123—44no—
1248#123—44no—
1249#123—44no—
1250#123—44no—
1251#123—44no—
1252#123—82no—
1253#123—82no—
1254#123—82no—
1255#123—82no—
1256C22⋊Q8—28no—
1257C22⋊Q8—44no—
1258C22⋊Q8—44no—
1259C22⋊Q8—44no—
1260C22⋊Q8—44no—
1261C22⋊Q8—44no—
1262C22⋊Q8—44no—
1263C22⋊Q8—42no—
1264C22⋊Q8—42no—
1265C22⋊Q8—44no—
1266C22⋊Q8—44no—
1267C22⋊Q8—82no—
1268C22⋊Q8—82no—
1269C22⋊Q8—82no—
1270C22⋊Q8—82no—
1271C22⋊Q8—82no—
1272C22⋊Q8—82no—
1273C22⋊Q8—81no—
1274C22⋊Q8—81no—
1275#121—44no—
1276#121—42no—
1277#121—42no—
1278#121—44no—
1279#121—44no—
1280#121—82no—
1281#121—82no—
1282#121—82no—
1283#121—82no—
1284#121—82no—
1285#121—82no—
1286#121—82no—
1287#121—81no—
1288#121—81no—
1289#121—82no—
1290C4×Q8—42no—
1291C4×Q8—42no—
1292C4×Q8—44no—
1293C4×Q8—81no—
1294C4×Q8—81no—
1295C4×D4—42no—
1296C4×D4—42no—
1297C4×D4—44no—
1298C4×D4—82no—
1299C4×D4—81no—
1300C4×D4—81no—
1301C4×D4—82no—
1302#117—24no—
1303#117—42no—
1304#117—44no—
1305#117—44no—
1306#117—81no—
1307#117—81no—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2411yescharacteristic
1385C2×C22⋊C4C2411yescharacteristic
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C42—24no—
1478C2×C42C2412yes—
1479C2×C42C2411yescharacteristic
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2411yescharacteristic
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2412yes—
1507C2×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509C2×C42C2411yescharacteristic
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2411yescharacteristic
1522#95C2411yescharacteristic
1523#95C2411yescharacteristic
1524#95C2411yescharacteristic
1525#95C2411yescharacteristic
1526#95C2411yescharacteristic
1527#95C2411yescharacteristic
1528#95C2412yes—
1529#95C2411yescharacteristic
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616C24C2512yes—
1617C24C2512yes—
1618C24C2511yescharacteristic
1619C24C2512yes—
1620C24C2512yes—
1621#41—816no—
1622#41—816no—
1623C2×Q8—24no—
1624C2×Q8—24no—
1625C2×Q8—24no—
1626C2×Q8—22no—
1627C2×Q8—22no—
1628C2×Q8—22no—
1629C2×Q8—22no—
1630C2×Q8—24no—
1631C2×Q8—41no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8—41no—
1635C2×Q8—41no—
1636C2×Q8—42no—
1637C2×Q8—41no—
1638C2×Q8—41no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×Q8—41no—
1649C2×Q8—41no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—42no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—42no—
1658C2×Q8—42no—
1659C2×Q8—42no—
1660C2×Q8—42no—
1661C2×Q8—42no—
1662C2×Q8—816no—
1663C2×D4—24no—
1664C2×D4—22no—
1665C2×D4—22no—
1666C2×D4—22no—
1667C2×D4—22no—
1668C2×D4—24no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—41no—
1673C2×D4—41no—
1674C2×D4—42no—
1675C2×D4—41no—
1676C2×D4—41no—
1677C2×D4—42no—
1678C2×D4—41no—
1679C2×D4—41no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—41no—
1692C2×D4—41no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C2×D4—42no—
1714C2×D4—42no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—42no—
1720C2×D4—42no—
1721C2×D4—42no—
1722C2×D4—42no—
1723C22×C4—22no—
1724C22×C4—22no—
1725C22×C4—22no—
1726C22×C4—24no—
1727C22×C4—24no—
1728C22×C4—22no—
1729C22×C4—24no—
1730C22×C4—41no—
1731C22×C4—42no—
1732C22×C4—41no—
1733C22×C4—41no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—41no—
1742C22×C4—41no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2511yescharacteristic
1771C22×C4C2512yes—
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2511yescharacteristic
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2511yescharacteristic
1787C22×C4C2511yescharacteristic
1788C22×C4C2511yescharacteristic
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2512yes—
1795C22×C4C2511yescharacteristic
1796C22×C4C2511yescharacteristic
1797C22×C4C2511yescharacteristic
1798C22×C4C2511yescharacteristic
1799C22×C4C2511yescharacteristic
1800C22×C4C2511yescharacteristic
1801C22×C4C2511yescharacteristic
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—22no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—41no—
1815C4⋊C4—41no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—41no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—41no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—41no—
1826C4⋊C4—41no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—41no—
1836C4⋊C4—41no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—41no—
1877C4⋊C4—41no—
1878C4⋊C4H(5,𝔽2)14yes—
1879C22⋊C4—22no—
1880C22⋊C4—22no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—22no—
1898C22⋊C4—24no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—41no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C42—22no—
1972C42—22no—
1973C42—24no—
1974C42—24no—
1975C42—22no—
1976C42—22no—
1977C42—22no—
1978C42—22no—
1979C42—41no—
1980C42—41no—
1981C42—41no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42—42no—
1986C42—41no—
1987C42—41no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—41no—
1994C42—42no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—41no—
1999C42—42no—
2000C42—41no—
2001C42—41no—
2002C422−1+414yes—
2003C23—22no—
2004C23—22no—
2005C23—21no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—21no—
2013C23—22no—
2014C23—21no—
2015C23—22no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—22no—
2023C23—21no—
2024C23—21no—
2025C23—21no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—21no—
2038C23C2611yescharacteristic
2039Q8—82no—
2040Q8—82no—
2041Q8—82no—
2042Q8—82no—
2043Q8—84no—
2044Q8—84no—
2045Q8—84no—
2046Q8—84no—
2047Q8—84no—
2048Q8—84no—
2049Q8—84no—
2050Q8—162no—
2051Q8—162no—
2052D4—48no—
2053D4—82no—
2054D4—82no—
2055D4—82no—
2056D4—82no—
2057D4—84no—
2058D4—84no—
2059D4—84no—
2060D4—84no—
2061D4—84no—
2062D4—84no—
2063D4—162no—
2064D4—162no—
2065D4—162no—
2066D4—162no—
2067D4—162no—
2068D4—162no—
2069D4—162no—
2070D4—162no—
2071D4—162no—
2072C2×C4—21no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—21no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—21no—
2101C2×C4—21no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—21no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—21no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—21no—
2122C2×C4—21no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—21no—
2133C2×C4—22no—
2134C2×C4—21no—
2135C2×C4—21no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—22no—
2141C2×C4—21no—
2142C2×C4—21no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—21no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—21no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—44no—
2168C2×C4—44no—
2169C2×C4—48no—
2170C2×C4—82no—
2171C2×C4—84no—
2172C2×C4—84no—
2173C2×C4—84no—
2174C2×C4—84no—
2175C2×C4—84no—
2176C2×C4—84no—
2177C2×C4—84no—
2178C2×C4—84no—
2179C2×C4—162no—
2180C2×C4—162no—
2181C2×C4—162no—
2182C2×C4C2×H(5,𝔽2)12yes—
2183C2×C4C2×H(5,𝔽2)12yes—
2184C2×C4C2×H(5,𝔽2)12yes—
2185C2×C4C2×2−1+412yes—
2186C2×C4C2×2−1+412yes—
2187C2×C4C2×2−1+412yes—
2188C2×C4#58512yes—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—41no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—41no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22—41no—
2203C22—42no—
2204C22—42no—
2205C22—42no—
2206C22—41no—
2207C22—42no—
2208C22—42no—
2209C22—41no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—41no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—41no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22C22×H(5,𝔽2)11yescharacteristic
2225C22C22×2−1+411yescharacteristic
2226C22C2×#58511yescharacteristic
2227C22H(7,𝔽2)11yescharacteristic
2228C22H(7,𝔽2)11yescharacteristic
2229C22H(7,𝔽2)11yescharacteristic
2230C222−1+611yescharacteristic
2231C4—22no—
2232C4—22no—
2233C4—22no—
2234C4—22no—
2235C4—22no—
2236C4—22no—
2237C4—22no—
2238C4—42no—
2239C4—42no—
2240C4—42no—
2241C4—42no—
2242C4—42no—
2243C4—42no—
2244C4—42no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—41no—
2249C4—42no—
2250C4—42no—
2251C4—41no—
2252C4—42no—
2253C4—42no—
2254C4—41no—
2255C4—42no—
2256C4—42no—
2257C4—41no—
2258C4—41no—
2259C4—42no—
2260C4—42no—
2261C4—41no—
2262C4—41no—
2263C4—42no—
2264C4—42no—
2265C2—82no—
2266C2—82no—
2267C2—82no—
2268C2—82no—
2269C2—81no—
2270C2#6283511yescharacteristic
2271C2#6287711yescharacteristic
2272C2#6288111yescharacteristic
2273C2#6304511yescharacteristic
2274C2#6304611yescharacteristic
2275C2#6305211yescharacteristic
2276C2#6306911yescharacteristic
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. #57587C2semidirect
2. #57276C2semidirect
3. #57184C2semidirect
4. #56918C2semidirect
5. #56421C2semidirect
6. #56395C2semidirect
7. #55907C2semidirect
8. #55593C2semidirect
9. #54788C2semidirect
10. #53792C2semidirect
11. #53572C2semidirect
12. #53539C2semidirect
13. #51384C2semidirect
14. #50360C2semidirect
15. #50284C2semidirect
16. #50086C2semidirect
17. #50017C2semidirect
18. #48016C2semidirect
19. #47797C2semidirect
20. #47723C2semidirect
21. #47394C2semidirect
22. #47337C2semidirect
23. #46420C2semidirect
24. #46418C2semidirect
25. #46241C2semidirect
26. #46232C2semidirect
27. #46231C2semidirect
28. #46154C2semidirect
29. #46154C2semidirect
30. #46017C2semidirect
31. #46017C2semidirect
32. #46016C2semidirect
33. #46016C2semidirect
34. #46004C2semidirect
35. #45986C2semidirect
36. #45986C2semidirect
37. #35331C2semidirect
38. #35192C2semidirect
39. #35136C2semidirect

Maximal subgroups

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

subgroupindex
#575872
#572762
#571842
#569182
#564212
#563952
#559072
#555932
#547882
#537922
#535722
#535392
#513842
#503602
#502842
#500862
#500172
#480162
#477972
#477232
#473942
#473372
#464202
#464182
#462412
#462322
#462312
#461542
#460172
#460162
#460042
#459862
#353312
#351922
#351362