Finite Group Databasebeta

← #7898460

Subgroups — #7898460

Order 512.

4257 conjugacy classes of subgroups.

The subgroup lattice has 2147 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60046C211yesmaximal, characteristic, complemented
2#59366C212yesmaximal, complemented
3#52278C211yesmaximal, characteristic, complemented
4#52066C212yesmaximal, complemented
5#51960C212yesmaximal, complemented
6#51247C212yesmaximal, complemented
7#50572C212yesmaximal, complemented
8#50410C212yesmaximal, complemented
9#50069C212yesmaximal, complemented
10#47380C212yesmaximal, complemented
11#47296C212yesmaximal, complemented
12#46289C211yesmaximal, characteristic, complemented
13#46281C211yesmaximal, characteristic, complemented
14#44722C212yesmaximal, complemented
15#44190C212yesmaximal, complemented
16#43970C212yesmaximal, complemented
17#43725C212yesmaximal, complemented
18#43714C212yesmaximal, complemented
19#42130C212yesmaximal, complemented
20#41749C212yesmaximal, complemented
21#41529C212yesmaximal, complemented
22#41113C212yesmaximal, complemented
23#40405C212yesmaximal, complemented
24#39837C211yesmaximal, characteristic, complemented
25#39637C211yesmaximal, characteristic, complemented
26#38891C212yesmaximal, complemented
27#38803C211yesmaximal, characteristic, complemented
28#38783C211yesmaximal, characteristic, complemented
29#38783C211yesmaximal, characteristic, complemented
30#38493C211yesmaximal, characteristic, complemented
31#37931C212yesmaximal, complemented
32#37157C211yesmaximal, characteristic, complemented
33#37143C211yesmaximal, characteristic, complemented
34#36401C211yesmaximal, characteristic, complemented
35#35886C212yesmaximal, complemented
36#35587C212yesmaximal, complemented
37#35047C211yesmaximal, characteristic, complemented
38#34514C212yesmaximal, complemented
39#34324C211yesmaximal, characteristic, complemented
40C2×#563C2212yes—
41C2×#556C2211yescharacteristic
42#2860C2211yescharacteristic
43#2860C2211yescharacteristic
44#2859C2211yescharacteristic
45#2854C2211yescharacteristic
46#2854C2211yescharacteristic
47#2853C2212yes—
48#2851C2211yescharacteristic
49#2851C2211yescharacteristic
50#2837C2212yes—
51#2837C2212yes—
52#2829C2212yes—
53#2823C2212yes—
54#2809C2212yes—
55#2808C2211yescharacteristic
56#2806C2212yes—
57#2805C2211yescharacteristic
58#2805C2211yescharacteristic
59#2805C2211yescharacteristic
60#2805C2211yescharacteristic
61#2805C2211yescharacteristic
62#2804C2211yescharacteristic
63#2803C2212yes—
64#2803C2212yes—
65#2803C2212yes—
66#2802C2212yes—
67#2801C2212yes—
68#2801C2212yes—
69#2800C2212yes—
70#2800C2212yes—
71#2800C2212yes—
72#2798C2212yes—
73#2798C2212yes—
74#2797C2212yes—
75#2795C2212yes—
76#2794C2212yes—
77#2793C2212yes—
78#2793C2212yes—
79#2791C2212yes—
80#2790C2212yes—
81#2788C2212yes—
82#2787C2212yes—
83#2787C2212yes—
84#2783C2212yes—
85#2783C2212yes—
86#2781C2212yes—
87#2781C2212yes—
88#2779C2212yes—
89#2778C2212yes—
90#2775C2212yes—
91#2773C2212yes—
92#2772C2212yes—
93#2772C2212yes—
94#2772C2212yes—
95#2771C2212yes—
96#2768C2212yes—
97#2767C2212yes—
98#2761C2212yes—
99#2755C2212yes—
100#2754C2212yes—
101#2754C2212yes—
102#2752C2212yes—
103#2750C2212yes—
104#2745C2212yes—
105#2740C2212yes—
106#2733C2212yes—
107#2731C2212yes—
108#2730C2212yes—
109#2730C2212yes—
110#2730C2212yes—
111#2729C2212yes—
112#2727C2211yescharacteristic
113#2727C2212yes—
114#2727C2211yescharacteristic
115#2726C2211yescharacteristic
116#2726C2211yescharacteristic
117#2726C2211yescharacteristic
118#2726C2211yescharacteristic
119#2725C2212yes—
120#2725C2212yes—
121#2725C2212yes—
122#2724C2211yescharacteristic
123#2723C2212yes—
124#2722C2212yes—
125#2721C2212yes—
126#2720C2212yes—
127#2720C2212yes—
128#2719C2212yes—
129#2719C2212yes—
130#2718C2212yes—
131#2711C2212yes—
132#2707C2212yes—
133#2707C2212yes—
134#2707C2212yes—
135#2705C2212yes—
136#2705C2212yes—
137#2702C2212yes—
138#2696C2212yes—
139#2695C2212yes—
140#2692C2212yes—
141#2688C2212yes—
142#2687C2212yes—
143#2683C2211yescharacteristic
144#2682C2211yescharacteristic
145#2682C2212yes—
146#2681C2212yes—
147#2671C2212yes—
148#2667C2212yes—
149#2663C2212yes—
150#2661C2212yes—
151#2655C2212yes—
152#2655C2212yes—
153#2655C2212yes—
154#2653C2212yes—
155#2650C2212yes—
156#2649C2212yes—
157#2648C2212yes—
158#2648C2212yes—
159#2647C2212yes—
160#2645C2212yes—
161#2637C2212yes—
162#2637C2212yes—
163#2636C2212yes—
164#2630C2212yes—
165#2611C2212yes—
166#2611C2212yes—
167#2608C2212yes—
168#2606C2212yes—
169#2604C2212yes—
170#2604C2212yes—
171#2603C2212yes—
172#2602C2212yes—
173#2601C2212yes—
174#2599C2212yes—
175#2597C2212yes—
176#2597C2212yes—
177#2596C2212yes—
178#2596C2212yes—
179#2595C2212yes—
180#2595C2212yes—
181#2595C2212yes—
182#2594C2212yes—
183#2593C2212yes—
184#2593C2212yes—
185#2590C2212yes—
186#2587C2212yes—
187#2587C2212yes—
188#2586C2212yes—
189#2585C2212yes—
190#2585C2212yes—
191#2584C2212yes—
192#2578C2212yes—
193#2577C2212yes—
194#2577C2212yes—
195#2577C2212yes—
196#2576C2212yes—
197#2575C2212yes—
198#2575C2212yes—
199#2574C2212yes—
200#2573C2212yes—
201#2573C2212yes—
202#2573C2212yes—
203#2573C2212yes—
204#2560C2212yes—
205#2560C2212yes—
206#2559C2212yes—
207#2559C2212yes—
208#2559C2212yes—
209#2558C2212yes—
210#2558C2212yes—
211#2558C2212yes—
212#2558C2212yes—
213#2556C2212yes—
214#2554C2212yes—
215#2554C2212yes—
216#2554C2212yes—
217#2533C2212yes—
218#2533C2212yes—
219#2531C2212yes—
220#2531C2212yes—
221#2530C2212yes—
222#2530C2212yes—
223#2530C2212yes—
224#2530C2212yes—
225#2530C2212yes—
226#2529C2212yes—
227#2529C2212yes—
228#2529C2212yes—
229#2529C2212yes—
230#2529C2212yes—
231#2528C2212yes—
232#2528C2212yes—
233#2528C2212yes—
234#2528C2212yes—
235#2526C2212yes—
236#2526C2212yes—
237#2526C2212yes—
238#2526C2212yes—
239#2526C2212yes—
240#2526C2212yes—
241#2525C2212yes—
242#2525C2212yes—
243#2522C2212yes—
244#2522C2212yes—
245#2522C2212yes—
246#2522C2212yes—
247#2519C2212yes—
248#2519C2212yes—
249#2519C2212yes—
250#2519C2212yes—
251#2519C2212yes—
252#2518C2212yes—
253#2517C2212yes—
254#2516C2212yes—
255#2516C2212yes—
256#2516C2212yes—
257#2513C2211yescharacteristic
258#2512C2212yes—
259#2512C2212yes—
260#2509C2211yescharacteristic
261#2509C2212yes—
262#2509C2212yes—
263#2509C2212yes—
264#2507C2212yes—
265#2506C2212yes—
266#2506C2212yes—
267#2506C2212yes—
268#2500C2211yescharacteristic
269#2497C2212yes—
270#2497C2211yescharacteristic
271#2490C2212yes—
272#2490C2211yescharacteristic
273#2490C2212yes—
274#2489C2212yes—
275#2485C2211yescharacteristic
276#2485C2211yescharacteristic
277#2479C2212yes—
278#2477C2212yes—
279#2477C2212yes—
280#2476C2212yes—
281#2475C2212yes—
282#2475C2212yes—
283#2471C2212yes—
284#2470C2212yes—
285#2470C2212yes—
286#2469C2212yes—
287#2469C2212yes—
288#2468C2212yes—
289#2468C2212yes—
290#2468C2212yes—
291#2466C2212yes—
292#2462C2212yes—
293#2462C2212yes—
294#2460C2212yes—
295#2458C2212yes—
296#2455C2212yes—
297#2454C2211yescharacteristic
298#2454C2212yes—
299#2454C2212yes—
300#2453C2212yes—
301#2453C2212yes—
302#2453C2211yescharacteristic
303#2448C2212yes—
304#2446C2212yes—
305#2443C2212yes—
306#2441C2211yescharacteristic
307#2429C2212yes—
308#2426C2212yes—
309#2423C2212yes—
310#2422C2211yescharacteristic
311#2421C2212yes—
312#2421C2211yescharacteristic
313#2414C2211yescharacteristic
314#2407C2211yescharacteristic
315#2406C2212yes—
316#2401C2212yes—
317#2401C2212yes—
318#2401C2212yes—
319#2398C2212yes—
320#2388C2212yes—
321#2378C2212yes—
322#2378C2212yes—
323#2376C2212yes—
324#2374C2212yes—
325#2374C2212yes—
326#2374C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2373C2212yes—
331#2373C2212yes—
332#2373C2212yes—
333#2372C2212yes—
334#2371C2212yes—
335#2371C2212yes—
336#2371C2212yes—
337#2370C2212yes—
338#2370C2212yes—
339#2367C2212yes—
340#2365C2211yescharacteristic
341#2365C2212yes—
342#2362C2211yescharacteristic
343#2362C2211yescharacteristic
344#2360C2212yes—
345#2360C2212yes—
346#2360C2212yes—
347#2356C2212yes—
348#2355C2212yes—
349#2354C2211yescharacteristic
350Q8×C4⋊C4C2211yescharacteristic
351#2347C2211yescharacteristic
352#2346C2211yescharacteristic
353#2346C2211yescharacteristic
354#2345C2212yes—
355#2341C2211yescharacteristic
356#2335C2212yes—
357#2335C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2334C2212yes—
365#2332C2212yes—
366#2332C2212yes—
367#2331C2212yes—
368#2331C2212yes—
369#2330C2212yes—
370#2330C2212yes—
371#2330C2212yes—
372#2326C2212yes—
373#2326C2212yes—
374#2322C2212yes—
375#2319C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×C22⋊Q8C2212yes—
378C4×C22⋊Q8C2211yescharacteristic
379C4×C22⋊Q8C2211yescharacteristic
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2212yes—
382C4×#123C2212yes—
383C4×#121C2212yes—
384C4×#121C2211yescharacteristic
385#2297C2211yescharacteristic
386#2296C2211yescharacteristic
387#2296C2211yescharacteristic
388#2296C2211yescharacteristic
389#2295C2211yescharacteristic
390#2295C2211yescharacteristic
391#2290C2212yes—
392#2283C2212yes—
393#2276C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396#563—216no—
397#556—28no—
398C2×C4⋊Q8C2312yes—
399C2×C4⋊Q8C2311yescharacteristic
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2311yescharacteristic
417C2×#125C2311yescharacteristic
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2311yescharacteristic
462C2×#117C2311yescharacteristic
463C2×#117C2311yescharacteristic
464C2×#117C2311yescharacteristic
465C22×C4⋊C4C2312yes—
466C22×C42C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469#401C2312yes—
470#401C2312yes—
471#401C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2311yescharacteristic
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2311yescharacteristic
671#391C2311yescharacteristic
672#391C2311yescharacteristic
673#391C2311yescharacteristic
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2311yescharacteristic
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2311yescharacteristic
688#390C2311yescharacteristic
689#390C2312yes—
690#390C2311yescharacteristic
691#390C2311yescharacteristic
692#390C2311yescharacteristic
693#390C2312yes—
694#390C2312yes—
695#390C2311yescharacteristic
696#390C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2312yes—
699#389C2312yes—
700#389C2311yescharacteristic
701#389C2311yescharacteristic
702#389C2311yescharacteristic
703#389C2311yescharacteristic
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2311yescharacteristic
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2311yescharacteristic
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2311yescharacteristic
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2311yescharacteristic
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2311yescharacteristic
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2311yescharacteristic
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#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#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#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#384C2311yescharacteristic
1014#384C2312yes—
1015#384C2312yes—
1016#384C2312yes—
1017#384C2311yescharacteristic
1018#384C2311yescharacteristic
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2311yescharacteristic
1030#382C2311yescharacteristic
1031#382C2312yes—
1032#382C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#380C2311yescharacteristic
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2311yescharacteristic
1046#380C2311yescharacteristic
1047#380C2311yescharacteristic
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057C4×C4⋊C4C2311yescharacteristic
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2311yescharacteristic
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141#376C2312yes—
1142#376C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—42no—
1145C2×#41—42no—
1146C2×#41—81no—
1147C22×Q8C2411yescharacteristic
1148C22×Q8C2411yescharacteristic
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×D4C2411yescharacteristic
1152C22×D4C2411yescharacteristic
1153C22×D4C2412yes—
1154C22×D4C2411yescharacteristic
1155C22×D4C2412yes—
1156C22×D4C2412yes—
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C23×C4C2411yescharacteristic
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2411yescharacteristic
1164C23×C4C2411yescharacteristic
1165C23×C4C2411yescharacteristic
1166C23×C4C2412yes—
1167C23×C4C2411yescharacteristic
1168C23×C4C2411yescharacteristic
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C4⋊Q8—28no—
1173C4⋊Q8#4118yescomplemented
1174#126—28no—
1175#126—28no—
1176#126—28no—
1177#126—28no—
1178#126—28no—
1179#126—28no—
1180#126—44no—
1181#126—82no—
1182#126—82no—
1183#126—82no—
1184#125—28no—
1185#125—28no—
1186#125—44no—
1187#125—44no—
1188#125—44no—
1189#125—44no—
1190#125—81no—
1191#125—81no—
1192#125—82no—
1193#125—82no—
1194#124—28no—
1195#124—28no—
1196#123—28no—
1197#123—28no—
1198#123—44no—
1199#123—44no—
1200#123—44no—
1201#123—44no—
1202#123—82no—
1203C22⋊Q8—28no—
1204C22⋊Q8—28no—
1205C22⋊Q8—24no—
1206C22⋊Q8—24no—
1207C22⋊Q8—28no—
1208C22⋊Q8—28no—
1209C22⋊Q8—44no—
1210C22⋊Q8—42no—
1211#121—44no—
1212#121—42no—
1213#121—82no—
1214#121—81no—
1215#121—81no—
1216C4×Q8—28no—
1217C4×Q8—24no—
1218C4×Q8—44no—
1219C4×Q8—44no—
1220C4×Q8—44no—
1221C4×Q8—42no—
1222C4×Q8—81no—
1223C4×Q8—81no—
1224C4×Q8—81no—
1225C4×D4—24no—
1226C4×D4—44no—
1227C4×D4—42no—
1228C4×D4—42no—
1229C4×D4—44no—
1230C4×D4—81no—
1231C4×D4—82no—
1232#117—24no—
1233#117—24no—
1234#117—42no—
1235#117—42no—
1236#117—81no—
1237#117—81no—
1238#117—81no—
1239C2×C4⋊C4—44no—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2411yescharacteristic
1346C2×C22⋊C4C2411yescharacteristic
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2411yescharacteristic
1369C2×C22⋊C4C2411yescharacteristic
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C42—44no—
1414C2×C42—81no—
1415C2×C42—81no—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2411yescharacteristic
1442C2×C42C2412yes—
1443C2×C42C2411yescharacteristic
1444C2×C42C2411yescharacteristic
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453C2×C42C2411yescharacteristic
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2411yescharacteristic
1461#95C2412yes—
1462#95C2411yescharacteristic
1463#95C2411yescharacteristic
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2411yescharacteristic
1499#95C2411yescharacteristic
1500#95C2411yescharacteristic
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2411yescharacteristic
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
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—
1573C24C2512yes—
1574C24C2511yescharacteristic
1575C24C2512yes—
1576C24C2511yescharacteristic
1577#41—88no—
1578C2×Q8—22no—
1579C2×Q8—24no—
1580C2×Q8—22no—
1581C2×Q8—42no—
1582C2×Q8—42no—
1583C2×Q8—41no—
1584C2×Q8—41no—
1585C2×Q8—41no—
1586C2×Q8—41no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8C2×#4118yes—
1590C2×D4—22no—
1591C2×D4—24no—
1592C2×D4—22no—
1593C2×D4—22no—
1594C2×D4—41no—
1595C2×D4—41no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—41no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—41no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C22×C4—22no—
1618C22×C4—22no—
1619C22×C4—22no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—24no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—41no—
1629C22×C4—41no—
1630C22×C4—41no—
1631C22×C4—41no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—41no—
1638C22×C4—41no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—41no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—41no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2511yescharacteristic
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2511yescharacteristic
1661C22×C4C2511yescharacteristic
1662C22×C4C2511yescharacteristic
1663C22×C4C2511yescharacteristic
1664C22×C4C2511yescharacteristic
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2511yescharacteristic
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2511yescharacteristic
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2511yescharacteristic
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2511yescharacteristic
1687C22×C4C2511yescharacteristic
1688C4⋊C4—22no—
1689C4⋊C4—22no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—22no—
1708C4⋊C4—22no—
1709C4⋊C4—22no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—22no—
1714C4⋊C4—22no—
1715C4⋊C4—22no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—41no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—41no—
1736C4⋊C4—41no—
1737C4⋊C4—41no—
1738C4⋊C4—41no—
1739C4⋊C4—41no—
1740C4⋊C4—41no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4C2×#4114yes—
1787C4⋊C4C2×#4114yes—
1788C4⋊C4C2×#4118yes—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—22no—
1792C22⋊C4—22no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—22no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—41no—
1833C22⋊C4—41no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—41no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—24no—
1867C42—24no—
1868C42—22no—
1869C42—22no—
1870C42—42no—
1871C42—42no—
1872C42—41no—
1873C42—41no—
1874C42—41no—
1875C42—41no—
1876C42—41no—
1877C42—41no—
1878C42—41no—
1879C42—41no—
1880C42—42no—
1881C42—41no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—41no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42C2×#4114yes—
1906C23—22no—
1907C23—22no—
1908C23—21no—
1909C23—21no—
1910C23—22no—
1911C23—22no—
1912C23—21no—
1913C23—21no—
1914C23—21no—
1915C23—21no—
1916C23—21no—
1917C23—22no—
1918C23—22no—
1919C23—21no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—21no—
1924C23—22no—
1925C23—21no—
1926C23—22no—
1927C23—21no—
1928C23—21no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—21no—
1933C23—21no—
1934C23C2611yescharacteristic
1935Q8—48no—
1936Q8—44no—
1937Q8—44no—
1938Q8—84no—
1939D4—44no—
1940D4—84no—
1941D4—82no—
1942D4—82no—
1943D4—84no—
1944D4—84no—
1945D4—84no—
1946D4—162no—
1947D4—162no—
1948C2×C4—21no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—21no—
1979C2×C4—22no—
1980C2×C4—21no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—21no—
2008C2×C4—21no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—21no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—44no—
2046C2×C4—44no—
2047C2×C4—44no—
2048C2×C4—44no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—84no—
2053C2×C4—82no—
2054C2×C4—84no—
2055C2×C4—84no—
2056C2×C4—162no—
2057C2×C4C22×#4112yes—
2058C2×C4C22×#4114yes—
2059C2×C4C22×#4114yes—
2060C2×C4C22×#4112yes—
2061C2×C4C22×#4112yes—
2062C2×C4#58512yes—
2063C2×C4#58512yes—
2064C2×C4#58512yes—
2065C22—42no—
2066C22—41no—
2067C22—42no—
2068C22—41no—
2069C22—42no—
2070C22—42no—
2071C22—41no—
2072C22—41no—
2073C22—42no—
2074C22—41no—
2075C22—41no—
2076C22—42no—
2077C22—41no—
2078C22—41no—
2079C22—42no—
2080C22—42no—
2081C22—41no—
2082C22—41no—
2083C22—42no—
2084C22—42no—
2085C22—41no—
2086C22—42no—
2087C22—41no—
2088C22—42no—
2089C22—41no—
2090C22—42no—
2091C22—42no—
2092C22—41no—
2093C22C23×#4111yescharacteristic
2094C22C2×#58511yescharacteristic
2095C22C2×#58511yescharacteristic
2096C22C2×#58511yescharacteristic
2097C22H(7,𝔽2)11yescharacteristic
2098C222−1+611yescharacteristic
2099C222−1+611yescharacteristic
2100C4—22no—
2101C4—24no—
2102C4—24no—
2103C4—22no—
2104C4—22no—
2105C4—22no—
2106C4—22no—
2107C4—22no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—41no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—41no—
2119C4—41no—
2120C4—42no—
2121C4—42no—
2122C4—41no—
2123C4—41no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—41no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—41no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C2—82no—
2136C2—82no—
2137C2—81no—
2138C2—81no—
2139C2#6278111yescharacteristic
2140C2#6285111yescharacteristic
2141C2#6286811yescharacteristic
2142C2#6290611yescharacteristic
2143C2#6293911yescharacteristic
2144C2#6300711yescharacteristic
2145C2#6305311yescharacteristic
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. #60046C2semidirect
2. #59366C2semidirect
3. #52278C2semidirect
4. #52066C2semidirect
5. #51960C2semidirect
6. #51247C2semidirect
7. #50572C2semidirect
8. #50410C2semidirect
9. #50069C2semidirect
10. #47380C2semidirect
11. #47296C2semidirect
12. #46289C2semidirect
13. #46281C2semidirect
14. #44722C2semidirect
15. #44190C2semidirect
16. #43970C2semidirect
17. #43725C2semidirect
18. #43714C2semidirect
19. #42130C2semidirect
20. #41749C2semidirect
21. #41529C2semidirect
22. #41113C2semidirect
23. #40405C2semidirect
24. #39837C2semidirect
25. #39637C2semidirect
26. #38891C2semidirect
27. #38803C2semidirect
28. #38783C2semidirect
29. #38783C2semidirect
30. #38493C2semidirect
31. #37931C2semidirect
32. #37157C2semidirect
33. #37143C2semidirect
34. #36401C2semidirect
35. #35886C2semidirect
36. #35587C2semidirect
37. #35047C2semidirect
38. #34514C2semidirect
39. #34324C2semidirect
1173. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600462
#593662
#522782
#520662
#519602
#512472
#505722
#504102
#500692
#473802
#472962
#462892
#462812
#447222
#441902
#439702
#437252
#437142
#421302
#417492
#415292
#411132
#404052
#398372
#396372
#388912
#388032
#387832
#384932
#379312
#371572
#371432
#364012
#358862
#355872
#350472
#345142
#343242