Finite Group Databasebeta

← #7660772

Subgroups — #7660772

Order 512.

4943 conjugacy classes of subgroups.

The subgroup lattice has 2291 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52305C211yesmaximal, characteristic, complemented
2#52169C211yesmaximal, characteristic, complemented
3#52152C211yesmaximal, characteristic, complemented
4#42271C212yesmaximal, complemented
5#42128C212yesmaximal, complemented
6#41941C212yesmaximal, complemented
7#41725C212yesmaximal, complemented
8#41638C212yesmaximal, complemented
9#41090C212yesmaximal, complemented
10#41015C212yesmaximal, complemented
11#40883C212yesmaximal, complemented
12#40849C212yesmaximal, complemented
13#40341C212yesmaximal, complemented
14#39454C211yesmaximal, characteristic, complemented
15#39445C211yesmaximal, characteristic, complemented
16#39445C211yesmaximal, characteristic, complemented
17#39426C212yesmaximal, complemented
18#39421C212yesmaximal, complemented
19#39388C212yesmaximal, complemented
20#39365C211yesmaximal, characteristic, complemented
21#38803C211yesmaximal, characteristic, complemented
22#38433C211yesmaximal, characteristic, complemented
23#37791C212yesmaximal, complemented
24#37736C212yesmaximal, complemented
25#37200C211yesmaximal, characteristic, complemented
26#37155C211yesmaximal, characteristic, complemented
27#37152C211yesmaximal, characteristic, complemented
28#37051C212yesmaximal, complemented
29#36844C212yesmaximal, complemented
30#36835C212yesmaximal, complemented
31#36510C212yesmaximal, complemented
32#36503C211yesmaximal, characteristic, complemented
33#36391C211yesmaximal, characteristic, complemented
34#36136C212yesmaximal, complemented
35#36003C212yesmaximal, complemented
36#36003C212yesmaximal, complemented
37#35811C212yesmaximal, complemented
38#34323C212yesmaximal, complemented
39#34280C211yesmaximal, characteristic, complemented
40C2×#553C2212yes—
41C2×#544C2212yes—
42C2×#540C2211yescharacteristic
43C2×#540C2212yes—
44C2×#539C2212yes—
45C2×#539C2212yes—
46C2×#529C2212yes—
47C2×#529C2212yes—
48#2866C2212yes—
49#2860C2211yescharacteristic
50#2860C2211yescharacteristic
51#2860C2211yescharacteristic
52#2859C2211yescharacteristic
53#2858C2212yes—
54#2854C2211yescharacteristic
55#2853C2212yes—
56#2851C2211yescharacteristic
57#2851C2212yes—
58#2850C2212yes—
59#2850C2212yes—
60#2839C2212yes—
61#2838C2212yes—
62#2827C2212yes—
63#2826C2212yes—
64#2813C2212yes—
65#2813C2212yes—
66#2810C2211yescharacteristic
67#2807C2212yes—
68#2803C2212yes—
69#2797C2212yes—
70#2795C2212yes—
71#2784C2212yes—
72#2781C2212yes—
73#2780C2212yes—
74#2779C2212yes—
75#2778C2212yes—
76#2772C2212yes—
77#2768C2212yes—
78#2767C2212yes—
79#2767C2212yes—
80#2767C2212yes—
81#2748C2212yes—
82#2746C2212yes—
83#2743C2212yes—
84#2739C2212yes—
85#2734C2212yes—
86#2732C2212yes—
87#2729C2212yes—
88#2729C2212yes—
89#2727C2211yescharacteristic
90#2727C2211yescharacteristic
91#2727C2211yescharacteristic
92#2726C2211yescharacteristic
93#2726C2211yescharacteristic
94#2726C2211yescharacteristic
95#2726C2211yescharacteristic
96#2725C2212yes—
97#2725C2212yes—
98#2725C2212yes—
99#2725C2212yes—
100#2724C2211yescharacteristic
101#2723C2212yes—
102#2722C2212yes—
103#2720C2212yes—
104#2720C2212yes—
105#2719C2212yes—
106#2719C2212yes—
107#2719C2212yes—
108#2719C2212yes—
109#2718C2212yes—
110#2718C2212yes—
111#2715C2212yes—
112#2711C2212yes—
113#2711C2212yes—
114#2711C2212yes—
115#2710C2212yes—
116#2709C2212yes—
117#2708C2212yes—
118#2707C2212yes—
119#2707C2212yes—
120#2706C2212yes—
121#2706C2212yes—
122#2705C2212yes—
123#2702C2212yes—
124#2701C2212yes—
125#2699C2212yes—
126#2696C2212yes—
127#2696C2212yes—
128#2696C2212yes—
129#2695C2212yes—
130#2694C2212yes—
131#2693C2212yes—
132#2693C2212yes—
133#2691C2212yes—
134#2689C2212yes—
135#2688C2212yes—
136#2688C2212yes—
137#2683C2211yescharacteristic
138#2683C2211yescharacteristic
139#2682C2211yescharacteristic
140#2682C2211yescharacteristic
141#2682C2211yescharacteristic
142#2682C2211yescharacteristic
143#2682C2211yescharacteristic
144#2676C2212yes—
145#2676C2212yes—
146#2674C2212yes—
147#2674C2212yes—
148#2674C2212yes—
149#2673C2212yes—
150#2673C2212yes—
151#2673C2212yes—
152#2672C2212yes—
153#2671C2212yes—
154#2667C2212yes—
155#2664C2212yes—
156#2662C2212yes—
157#2661C2212yes—
158#2655C2212yes—
159#2654C2212yes—
160#2651C2212yes—
161#2651C2212yes—
162#2650C2212yes—
163#2650C2212yes—
164#2638C2212yes—
165#2636C2212yes—
166#2636C2212yes—
167#2636C2212yes—
168#2636C2212yes—
169#2636C2212yes—
170#2635C2212yes—
171#2635C2212yes—
172#2630C2212yes—
173#2630C2212yes—
174#2629C2212yes—
175#2628C2212yes—
176#2627C2212yes—
177#2623C2212yes—
178#2619C2212yes—
179#2618C2212yes—
180#2618C2212yes—
181#2609C2212yes—
182#2603C2212yes—
183#2601C2212yes—
184#2601C2212yes—
185#2601C2212yes—
186#2597C2212yes—
187#2594C2212yes—
188#2588C2212yes—
189#2587C2212yes—
190#2587C2212yes—
191#2587C2212yes—
192#2575C2212yes—
193#2575C2212yes—
194#2566C2211yescharacteristic
195#2559C2212yes—
196#2559C2212yes—
197#2559C2212yes—
198#2558C2212yes—
199#2558C2212yes—
200#2558C2212yes—
201#2558C2212yes—
202#2558C2212yes—
203#2558C2212yes—
204#2558C2212yes—
205#2556C2212yes—
206#2556C2212yes—
207#2554C2212yes—
208#2554C2212yes—
209#2554C2212yes—
210#2554C2212yes—
211#2554C2212yes—
212#2553C2212yes—
213#2553C2212yes—
214#2550C2212yes—
215#2550C2211yescharacteristic
216#2550C2212yes—
217#2543C2212yes—
218#2540C2212yes—
219#2540C2212yes—
220#2540C2212yes—
221#2529C2212yes—
222#2527C2212yes—
223#2526C2212yes—
224#2526C2212yes—
225#2522C2212yes—
226#2521C2212yes—
227#2519C2212yes—
228#2519C2212yes—
229#2519C2212yes—
230#2516C2212yes—
231#2516C2212yes—
232#2512C2211yescharacteristic
233#2508C2211yescharacteristic
234#2507C2211yescharacteristic
235#2505C2212yes—
236#2505C2212yes—
237#2500C2211yescharacteristic
238#2497C2211yescharacteristic
239#2494C2211yescharacteristic
240#2491C2211yescharacteristic
241#2491C2212yes—
242#2491C2212yes—
243#2490C2212yes—
244#2490C2211yescharacteristic
245#2488C2212yes—
246#2488C2212yes—
247#2488C2212yes—
248#2479C2212yes—
249#2479C2212yes—
250#2479C2212yes—
251#2479C2212yes—
252#2479C2212yes—
253#2477C2212yes—
254#2475C2212yes—
255#2474C2212yes—
256#2470C2212yes—
257#2470C2212yes—
258#2470C2212yes—
259#2469C2212yes—
260#2468C2212yes—
261#2468C2212yes—
262#2468C2212yes—
263#2468C2212yes—
264#2467C2212yes—
265#2466C2212yes—
266#2466C2212yes—
267#2464C2212yes—
268#2464C2212yes—
269#2464C2212yes—
270#2464C2212yes—
271#2464C2212yes—
272#2462C2212yes—
273#2461C2212yes—
274#2461C2212yes—
275#2461C2212yes—
276#2461C2212yes—
277#2461C2212yes—
278#2460C2212yes—
279#2457C2212yes—
280#2456C2212yes—
281#2456C2212yes—
282#2456C2212yes—
283#2456C2212yes—
284#2456C2212yes—
285#2456C2212yes—
286#2455C2212yes—
287#2454C2212yes—
288#2454C2211yescharacteristic
289#2452C2212yes—
290#2450C2212yes—
291#2450C2212yes—
292#2449C2212yes—
293#2449C2212yes—
294#2449C2212yes—
295#2444C2212yes—
296#2443C2212yes—
297#2441C2211yescharacteristic
298#2441C2212yes—
299#2440C2212yes—
300#2438C2212yes—
301#2429C2212yes—
302#2429C2212yes—
303#2429C2212yes—
304#2429C2212yes—
305#2428C2212yes—
306#2428C2212yes—
307#2425C2212yes—
308#2425C2212yes—
309#2416C2212yes—
310#2414C2212yes—
311#2413C2212yes—
312#2413C2212yes—
313#2402C2212yes—
314#2402C2212yes—
315#2402C2212yes—
316#2396C2212yes—
317#2396C2212yes—
318#2395C2212yes—
319#2392C2212yes—
320#2392C2212yes—
321#2392C2212yes—
322#2374C2212yes—
323#2374C2212yes—
324#2373C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2372C2212yes—
329#2370C2212yes—
330#2370C2211yescharacteristic
331#2367C2212yes—
332#2367C2212yes—
333#2364C2212yes—
334#2364C2212yes—
335#2363C2212yes—
336#2363C2212yes—
337#2363C2211yescharacteristic
338#2363C2212yes—
339#2363C2212yes—
340#2361C2212yes—
341#2361C2212yes—
342#2361C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2359C2212yes—
346#2359C2212yes—
347#2357C2211yescharacteristic
348#2352C2212yes—
349#2352C2212yes—
350#2352C2212yes—
351#2349C2212yes—
352#2346C2212yes—
353#2346C2211yescharacteristic
354#2345C2212yes—
355#2335C2212yes—
356#2335C2212yes—
357#2334C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2330C2211yescharacteristic
361#2328C2211yescharacteristic
362#2325C2212yes—
363#2325C2212yes—
364#2324C2211yescharacteristic
365#2324C2211yescharacteristic
366#2322C2212yes—
367#2314C2211yescharacteristic
368C4×C4⋊Q8C2211yescharacteristic
369C4×#127C2211yescharacteristic
370C4×#125C2212yes—
371C4×#125C2212yes—
372C4×#125C2211yescharacteristic
373C4×#125C2211yescharacteristic
374C4×#125C2211yescharacteristic
375C4×#125C2212yes—
376C4×C22⋊Q8C2212yes—
377C4×#123C2212yes—
378C4×#121C2212yes—
379C4×#121C2212yes—
380C4×#121C2211yescharacteristic
381C4×#121C2211yescharacteristic
382C4×#121C2211yescharacteristic
383#2296C2212yes—
384#2296C2211yescharacteristic
385#2293C2212yes—
386#2293C2211yescharacteristic
387#2293C2211yescharacteristic
388#2293C2211yescharacteristic
389C2×#389C2212yes—
390#2275C2211yescharacteristic
391#2275C2212yes—
392#2275C2211yescharacteristic
393C42×D4C2212yes—
394C4×#117C2211yescharacteristic
395#553—216no—
396#544—48no—
397#540—28no—
398#540—48no—
399#539—48no—
400#539—48no—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×#127C2311yescharacteristic
406C2×#127C2312yes—
407#529—48no—
408#529—48no—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#125C2311yescharacteristic
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2311yescharacteristic
424C2×#125C2311yescharacteristic
425C2×#125C2312yes—
426C2×#125C2311yescharacteristic
427C2×#125C2312yes—
428C2×#125C2312yes—
429C2×#125C2312yes—
430C2×#125C2312yes—
431C2×#125C2312yes—
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
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⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×#121C2311yescharacteristic
467C2×#121C2311yescharacteristic
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2311yescharacteristic
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2311yescharacteristic
478C2×#121C2312yes—
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×C4×Q8C2312yes—
487C2×C4×Q8C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2311yescharacteristic
518C2×#117C2311yescharacteristic
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C42C2312yes—
530C22×C42C2312yes—
531C22×C42C2311yescharacteristic
532#401C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#400C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#399C2312yes—
571#399C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
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#396C2312yes—
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#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
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#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
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#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2311yescharacteristic
733#390C2311yescharacteristic
734#390C2311yescharacteristic
735#390C2311yescharacteristic
736#390C2311yescharacteristic
737#390C2311yescharacteristic
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2311yescharacteristic
756#390C2311yescharacteristic
757#390C2311yescharacteristic
758#390C2311yescharacteristic
759#390C2311yescharacteristic
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2311yescharacteristic
764#390C2312yes—
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2312yes—
775#389C2312yes—
776#389C2311yescharacteristic
777#389C2312yes—
778#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2311yescharacteristic
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2311yescharacteristic
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2311yescharacteristic
801#389C2312yes—
802#389C2311yescharacteristic
803#389C2312yes—
804#389C2311yescharacteristic
805#389C2311yescharacteristic
806#389C2312yes—
807#389C2311yescharacteristic
808#389C2311yescharacteristic
809#389C2311yescharacteristic
810#389C2311yescharacteristic
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2311yescharacteristic
819#389C2312yes—
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#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#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
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#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
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#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#384C2311yescharacteristic
1029#384C2311yescharacteristic
1030#384C2311yescharacteristic
1031#384C2311yescharacteristic
1032#382C2311yescharacteristic
1033#382C2311yescharacteristic
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2311yescharacteristic
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2311yescharacteristic
1042#382C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2311yescharacteristic
1066#380C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
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—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139#376C2311yescharacteristic
1140#376C2312yes—
1141#376C2311yescharacteristic
1142#376C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C43C2311yescharacteristic
1148C43C2312yes—
1149C43C2311yescharacteristic
1150C22×Q8C2412yes—
1151C22×Q8C2412yes—
1152C22×Q8C2412yes—
1153C22×D4C2412yes—
1154C22×D4C2412yes—
1155C22×D4C2412yes—
1156C22×D4C2411yescharacteristic
1157C22×D4C2411yescharacteristic
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2411yescharacteristic
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C4⋊Q8—24no—
1193C4⋊Q8—44no—
1194C4⋊Q8—44no—
1195C4⋊Q8—44no—
1196#127—24no—
1197#127—44no—
1198#126—28no—
1199#126—28no—
1200#126—28no—
1201#126—44no—
1202#126—44no—
1203#126—44no—
1204#126—44no—
1205#126—44no—
1206#126—44no—
1207#126—44no—
1208#126—44no—
1209#125—24no—
1210#125—28no—
1211#125—28no—
1212#125—24no—
1213#125—24no—
1214#125—28no—
1215#125—42no—
1216#125—44no—
1217#125—44no—
1218#125—44no—
1219#125—44no—
1220#125—44no—
1221#124—44no—
1222#124—44no—
1223#124—44no—
1224#124—44no—
1225#124—44no—
1226#123—28no—
1227#123—28no—
1228#123—28no—
1229#123—28no—
1230#123—28no—
1231#123—28no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236#123—44no—
1237#123—44no—
1238#123—44no—
1239#123—44no—
1240#123—44no—
1241#123—44no—
1242#123—44no—
1243#123—44no—
1244C22⋊Q8—28no—
1245C22⋊Q8—44no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251C22⋊Q8—44no—
1252C22⋊Q8—44no—
1253C22⋊Q8—44no—
1254C22⋊Q8—44no—
1255#121—24no—
1256#121—28no—
1257#121—28no—
1258#121—28no—
1259#121—28no—
1260#121—24no—
1261#121—24no—
1262#121—28no—
1263#121—28no—
1264#121—42no—
1265#121—44no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—44no—
1272#121—44no—
1273#121—44no—
1274#121—44no—
1275C4×Q8—44no—
1276C4×Q8—44no—
1277C4×D4—28no—
1278C4×D4—24no—
1279C4×D4—28no—
1280C4×D4—28no—
1281C4×D4—24no—
1282C4×D4—42no—
1283C4×D4—42no—
1284C4×D4—42no—
1285C4×D4—44no—
1286C4×D4—44no—
1287C4×D4—44no—
1288C4×D4—44no—
1289C4×D4—44no—
1290C4×D4—44no—
1291C4×D4—42no—
1292C4×D4—42no—
1293C4×D4—44no—
1294C4×D4—44no—
1295C4×D4—44no—
1296C4×D4—44no—
1297C4×D4—44no—
1298C4×D4—44no—
1299C4×D4—44no—
1300C4×D4—44no—
1301C4×D4—44no—
1302C4×D4#4118yes—
1303#117—24no—
1304#117—24no—
1305#117—28no—
1306#117—42no—
1307#117—42no—
1308#117—44no—
1309#117—44no—
1310#117—44no—
1311#117—44no—
1312#117—44no—
1313#117—44no—
1314C2×C4⋊C4—28no—
1315C2×C4⋊C4—44no—
1316C2×C4⋊C4—44no—
1317C2×C4⋊C4—44no—
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×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2411yescharacteristic
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2411yescharacteristic
1397C2×C4⋊C4C2411yescharacteristic
1398C2×C4⋊C4C2412yes—
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2411yescharacteristic
1407C2×C4⋊C4C2411yescharacteristic
1408C2×C4⋊C4C2412yes—
1409C2×C4⋊C4C2412yes—
1410C2×C4⋊C4C2411yescharacteristic
1411C2×C4⋊C4C2411yescharacteristic
1412C2×C4⋊C4C2411yescharacteristic
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2411yescharacteristic
1418C2×C22⋊C4C2411yescharacteristic
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C22⋊C4C2412yes—
1496C2×C22⋊C4C2412yes—
1497C2×C22⋊C4C2412yes—
1498C2×C22⋊C4C2412yes—
1499C2×C22⋊C4C2412yes—
1500C2×C22⋊C4C2412yes—
1501C2×C42—44no—
1502C2×C42—44no—
1503C2×C42—42no—
1504C2×C42C2411yescharacteristic
1505C2×C42C2412yes—
1506C2×C42C2411yescharacteristic
1507C2×C42C2412yes—
1508C2×C42C2411yescharacteristic
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2412yes—
1515C2×C42C2411yescharacteristic
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2411yescharacteristic
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2412yes—
1525C2×C42C2412yes—
1526C2×C42C2412yes—
1527C2×C42C2411yescharacteristic
1528C2×C42C2412yes—
1529C2×C42C2412yes—
1530C2×C42C2412yes—
1531C2×C42C2412yes—
1532C2×C42C2412yes—
1533C2×C42C2411yescharacteristic
1534C2×C42C2411yescharacteristic
1535C2×C42C2412yes—
1536C2×C42C2411yescharacteristic
1537C2×C42C2412yes—
1538C2×C42C2411yescharacteristic
1539C2×C42C2411yescharacteristic
1540C2×C42C2412yes—
1541C2×C42C2412yes—
1542C2×C42C2411yescharacteristic
1543C2×C42C2411yescharacteristic
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
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#95C2411yescharacteristic
1559#95C2411yescharacteristic
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2411yescharacteristic
1564#95C2411yescharacteristic
1565#95C2411yescharacteristic
1566#95C2411yescharacteristic
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—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633#95C2412yes—
1634C24C2512yes—
1635C24C2512yes—
1636C24C2512yes—
1637C24C2511yescharacteristic
1638C24C2512yes—
1639C2×Q8—24no—
1640C2×Q8—24no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—24no—
1652C2×D4—24no—
1653C2×D4—24no—
1654C2×D4—24no—
1655C2×D4—22no—
1656C2×D4—24no—
1657C2×D4—24no—
1658C2×D4—24no—
1659C2×D4—22no—
1660C2×D4—22no—
1661C2×D4—24no—
1662C2×D4—24no—
1663C2×D4—41no—
1664C2×D4—41no—
1665C2×D4—41no—
1666C2×D4—41no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—41no—
1682C2×D4—41no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—41no—
1687C2×D4—41no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
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×D4C2×#4114yes—
1708C22×C4—24no—
1709C22×C4—24no—
1710C22×C4—24no—
1711C22×C4—22no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—22no—
1715C22×C4—22no—
1716C22×C4—24no—
1717C22×C4—24no—
1718C22×C4—24no—
1719C22×C4—22no—
1720C22×C4—24no—
1721C22×C4—24no—
1722C22×C4—24no—
1723C22×C4—41no—
1724C22×C4—42no—
1725C22×C4—41no—
1726C22×C4—41no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—41no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
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×C4C2×#4118yes—
1765C22×C4C2511yescharacteristic
1766C22×C4C2511yescharacteristic
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C22×C4C2512yes—
1773C22×C4C2511yescharacteristic
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2511yescharacteristic
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2511yescharacteristic
1788C22×C4C2512yes—
1789C22×C4C2511yescharacteristic
1790C22×C4C2511yescharacteristic
1791C22×C4C2512yes—
1792C22×C4C2511yescharacteristic
1793C22×C4C2512yes—
1794C22×C4C2512yes—
1795C22×C4C2511yescharacteristic
1796C22×C4C2511yescharacteristic
1797C22×C4C2511yescharacteristic
1798C22×C4C2511yescharacteristic
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—22no—
1805C4⋊C4—22no—
1806C4⋊C4—22no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—22no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—24no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—22no—
1836C4⋊C4—22no—
1837C4⋊C4—22no—
1838C4⋊C4—22no—
1839C4⋊C4—24no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—41no—
1847C4⋊C4—41no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—41no—
1854C4⋊C4—41no—
1855C4⋊C4—41no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—41no—
1862C4⋊C4—41no—
1863C4⋊C4—41no—
1864C4⋊C4—41no—
1865C4⋊C4—41no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—41no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—41no—
1885C4⋊C4—41no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4C2×#4114yes—
1892C4⋊C4H(5,𝔽2)14yes—
1893C4⋊C4H(5,𝔽2)14yes—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—22no—
1898C22⋊C4—22no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—22no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
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—41no—
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—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4C2×#4118yes—
1982C42—24no—
1983C42—22no—
1984C42—24no—
1985C42—24no—
1986C42—24no—
1987C42—24no—
1988C42—22no—
1989C42—24no—
1990C42—22no—
1991C42—22no—
1992C42—22no—
1993C42—22no—
1994C42—22no—
1995C42—22no—
1996C42—24no—
1997C42—24no—
1998C42—24no—
1999C42—41no—
2000C42—41no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—41no—
2006C42—41no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—41no—
2012C42—41no—
2013C42—41no—
2014C42—42no—
2015C42—42no—
2016C42—42no—
2017C42—42no—
2018C42—42no—
2019C42—42no—
2020C42—42no—
2021C42C2×#4114yes—
2022C23—22no—
2023C23—22no—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—21no—
2032C23—22no—
2033C23—21no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—21no—
2040C23—22no—
2041C23—21no—
2042C23—22no—
2043C23—22no—
2044C23—22no—
2045C23—22no—
2046C23—21no—
2047C23—22no—
2048C23—22no—
2049C23—21no—
2050C23—22no—
2051C23—22no—
2052C23—22no—
2053C23—22no—
2054C23—22no—
2055C23—21no—
2056C23C22×#4114yes—
2057C23C2611yescharacteristic
2058Q8—84no—
2059Q8—84no—
2060Q8—162no—
2061D4—44no—
2062D4—48no—
2063D4—44no—
2064D4—48no—
2065D4—48no—
2066D4—84no—
2067D4—84no—
2068D4—84no—
2069D4—84no—
2070D4—82no—
2071D4—82no—
2072D4—84no—
2073D4—84no—
2074D4—84no—
2075D4—84no—
2076D4—84no—
2077D4—162no—
2078D4—162no—
2079D4—162no—
2080D4—162no—
2081C2×C4—22no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—21no—
2105C2×C4—21no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—21no—
2115C2×C4—21no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—21no—
2119C2×C4—21no—
2120C2×C4—21no—
2121C2×C4—21no—
2122C2×C4—22no—
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—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—21no—
2138C2×C4—21no—
2139C2×C4—22no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—21no—
2144C2×C4—22no—
2145C2×C4—21no—
2146C2×C4—22no—
2147C2×C4—21no—
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—22no—
2158C2×C4—21no—
2159C2×C4—21no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—21no—
2163C2×C4—21no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—22no—
2169C2×C4—22no—
2170C2×C4—22no—
2171C2×C4—22no—
2172C2×C4—21no—
2173C2×C4—48no—
2174C2×C4—48no—
2175C2×C4—44no—
2176C2×C4—48no—
2177C2×C4—44no—
2178C2×C4—84no—
2179C2×C4—84no—
2180C2×C4—84no—
2181C2×C4—84no—
2182C2×C4—84no—
2183C2×C4—84no—
2184C2×C4—82no—
2185C2×C4—84no—
2186C2×C4—84no—
2187C2×C4—162no—
2188C2×C4—162no—
2189C2×C4—162no—
2190C2×C4—162no—
2191C2×C4—162no—
2192C2×C4C22×#4112yes—
2193C2×C4C22×#4112yes—
2194C2×C4C22×#4114yes—
2195C2×C4C22×#4112yes—
2196C2×C4C2×H(5,𝔽2)14yes—
2197C2×C4C2×H(5,𝔽2)12yes—
2198C2×C4C2×H(5,𝔽2)12yes—
2199C2×C4C2×H(5,𝔽2)14yes—
2200C2×C4#58512yes—
2201C2×C4#58512yes—
2202C22—24no—
2203C22—24no—
2204C22—24no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22—42no—
2209C22—42no—
2210C22—41no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—41no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—41no—
2221C22—42no—
2222C22—41no—
2223C22—42no—
2224C22—42no—
2225C22—41no—
2226C22—42no—
2227C22—42no—
2228C22—42no—
2229C22—41no—
2230C22—42no—
2231C22—42no—
2232C22—42no—
2233C22—41no—
2234C22—42no—
2235C22—42no—
2236C22—42no—
2237C22C23×#4111yescharacteristic
2238C22C22×H(5,𝔽2)11yescharacteristic
2239C22C22×H(5,𝔽2)11yescharacteristic
2240C22C2×#58511yescharacteristic
2241C22C2×#58511yescharacteristic
2242C222−1+611yescharacteristic
2243C222−1+611yescharacteristic
2244C4—22no—
2245C4—24no—
2246C4—22no—
2247C4—24no—
2248C4—24no—
2249C4—22no—
2250C4—22no—
2251C4—22no—
2252C4—22no—
2253C4—22no—
2254C4—42no—
2255C4—42no—
2256C4—41no—
2257C4—42no—
2258C4—42no—
2259C4—41no—
2260C4—42no—
2261C4—42no—
2262C4—41no—
2263C4—42no—
2264C4—42no—
2265C4—42no—
2266C4—41no—
2267C4—41no—
2268C4—42no—
2269C4—42no—
2270C4—42no—
2271C4—42no—
2272C4—41no—
2273C4—42no—
2274C4—42no—
2275C4—41no—
2276C4—42no—
2277C4—42no—
2278C2—44no—
2279C2—82no—
2280C2—82no—
2281C2—82no—
2282C2—81no—
2283C2#6268611yescharacteristic
2284C2#6292711yescharacteristic
2285C2#6293111yescharacteristic
2286C2#6298411yescharacteristic
2287C2#6298511yescharacteristic
2288C2#6301411yescharacteristic
2289C2#6306811yescharacteristic
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. #52305C2semidirect
2. #52169C2semidirect
3. #52152C2semidirect
4. #42271C2semidirect
5. #42128C2semidirect
6. #41941C2semidirect
7. #41725C2semidirect
8. #41638C2semidirect
9. #41090C2semidirect
10. #41015C2semidirect
11. #40883C2semidirect
12. #40849C2semidirect
13. #40341C2semidirect
14. #39454C2semidirect
15. #39445C2semidirect
16. #39445C2semidirect
17. #39426C2semidirect
18. #39421C2semidirect
19. #39388C2semidirect
20. #39365C2semidirect
21. #38803C2semidirect
22. #38433C2semidirect
23. #37791C2semidirect
24. #37736C2semidirect
25. #37200C2semidirect
26. #37155C2semidirect
27. #37152C2semidirect
28. #37051C2semidirect
29. #36844C2semidirect
30. #36835C2semidirect
31. #36510C2semidirect
32. #36503C2semidirect
33. #36391C2semidirect
34. #36136C2semidirect
35. #36003C2semidirect
36. #36003C2semidirect
37. #35811C2semidirect
38. #34323C2semidirect
39. #34280C2semidirect

Maximal subgroups

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

subgroupindex
#523052
#521692
#521522
#422712
#421282
#419412
#417252
#416382
#410902
#410152
#408832
#408492
#403412
#394542
#394452
#394262
#394212
#393882
#393652
#388032
#384332
#377912
#377362
#372002
#371552
#371522
#370512
#368442
#368352
#365102
#365032
#363912
#361362
#360032
#358112
#343232
#342802