Finite Group Databasebeta

← #7895475

Subgroups — #7895475

Order 512.

4557 conjugacy classes of subgroups.

The subgroup lattice has 2252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60044C212yesmaximal, complemented
2#59928C211yesmaximal, characteristic, complemented
3#52267C211yesmaximal, characteristic, complemented
4#51920C212yesmaximal, complemented
5#51838C212yesmaximal, complemented
6#49462C212yesmaximal, complemented
7#48565C212yesmaximal, complemented
8#48030C212yesmaximal, complemented
9#47911C212yesmaximal, complemented
10#46959C212yesmaximal, complemented
11#46410C212yesmaximal, complemented
12#46099C211yesmaximal, characteristic, complemented
13#45808C211yesmaximal, characteristic, complemented
14#44583C212yesmaximal, complemented
15#44406C212yesmaximal, complemented
16#44243C212yesmaximal, complemented
17#43330C212yesmaximal, complemented
18#43068C212yesmaximal, complemented
19#42806C212yesmaximal, complemented
20#42280C212yesmaximal, complemented
21#41631C212yesmaximal, complemented
22#41069C212yesmaximal, complemented
23#39830C211yesmaximal, characteristic, complemented
24#39743C211yesmaximal, characteristic, complemented
25#39581C211yesmaximal, characteristic, complemented
26#38876C212yesmaximal, complemented
27#38821C211yesmaximal, characteristic, complemented
28#38693C212yesmaximal, complemented
29#38670C212yesmaximal, complemented
30#38494C211yesmaximal, characteristic, complemented
31#38484C211yesmaximal, characteristic, complemented
32#37219C211yesmaximal, characteristic, complemented
33#37194C211yesmaximal, characteristic, complemented
34#36402C211yesmaximal, characteristic, complemented
35#35811C212yesmaximal, complemented
36#35437C212yesmaximal, complemented
37#35109C211yesmaximal, characteristic, complemented
38#34474C212yesmaximal, complemented
39#34334C211yesmaximal, characteristic, complemented
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42#2860C2211yescharacteristic
43#2856C2211yescharacteristic
44#2855C2211yescharacteristic
45#2855C2211yescharacteristic
46#2854C2211yescharacteristic
47#2852C2212yes—
48#2850C2211yescharacteristic
49#2850C2211yescharacteristic
50#2836C2212yes—
51#2832C2212yes—
52#2816C2212yes—
53#2816C2212yes—
54#2811C2211yescharacteristic
55#2809C2211yescharacteristic
56#2809C2212yes—
57#2809C2211yescharacteristic
58#2808C2212yes—
59#2808C2211yescharacteristic
60#2807C2212yes—
61#2806C2212yes—
62#2806C2211yescharacteristic
63#2806C2212yes—
64#2806C2211yescharacteristic
65#2805C2211yescharacteristic
66#2804C2211yescharacteristic
67#2804C2211yescharacteristic
68#2803C2212yes—
69#2802C2212yes—
70#2799C2212yes—
71#2799C2212yes—
72#2799C2212yes—
73#2798C2212yes—
74#2798C2212yes—
75#2797C2212yes—
76#2797C2212yes—
77#2793C2212yes—
78#2793C2212yes—
79#2791C2212yes—
80#2791C2212yes—
81#2790C2212yes—
82#2790C2212yes—
83#2788C2212yes—
84#2786C2212yes—
85#2782C2212yes—
86#2782C2212yes—
87#2781C2212yes—
88#2780C2212yes—
89#2779C2212yes—
90#2777C2212yes—
91#2774C2212yes—
92#2773C2212yes—
93#2770C2212yes—
94#2768C2212yes—
95#2766C2212yes—
96#2764C2212yes—
97#2763C2212yes—
98#2763C2212yes—
99#2757C2212yes—
100#2753C2212yes—
101#2746C2212yes—
102#2741C2212yes—
103#2739C2212yes—
104#2738C2212yes—
105#2733C2211yescharacteristic
106#2733C2211yescharacteristic
107#2732C2211yescharacteristic
108#2732C2211yescharacteristic
109#2732C2211yescharacteristic
110#2732C2212yes—
111#2732C2212yes—
112#2731C2212yes—
113#2731C2212yes—
114#2730C2212yes—
115#2730C2212yes—
116#2730C2212yes—
117#2730C2212yes—
118#2729C2212yes—
119#2729C2212yes—
120#2727C2211yescharacteristic
121#2724C2211yescharacteristic
122#2723C2212yes—
123#2723C2212yes—
124#2721C2212yes—
125#2719C2212yes—
126#2718C2212yes—
127#2712C2212yes—
128#2712C2212yes—
129#2711C2212yes—
130#2709C2212yes—
131#2708C2212yes—
132#2708C2212yes—
133#2708C2212yes—
134#2708C2212yes—
135#2706C2212yes—
136#2705C2212yes—
137#2701C2212yes—
138#2694C2212yes—
139#2691C2212yes—
140#2691C2212yes—
141#2689C2212yes—
142#2689C2212yes—
143#2682C2212yes—
144#2681C2212yes—
145#2681C2212yes—
146#2680C2212yes—
147#2671C2212yes—
148#2664C2212yes—
149#2662C2212yes—
150#2656C2212yes—
151#2654C2212yes—
152#2653C2212yes—
153#2651C2212yes—
154#2651C2212yes—
155#2650C2212yes—
156#2649C2212yes—
157#2648C2212yes—
158#2638C2212yes—
159#2638C2212yes—
160#2635C2212yes—
161#2635C2212yes—
162#2630C2212yes—
163#2627C2212yes—
164#2620C2212yes—
165#2612C2212yes—
166#2609C2212yes—
167#2609C2212yes—
168#2603C2212yes—
169#2603C2212yes—
170#2602C2212yes—
171#2602C2212yes—
172#2601C2212yes—
173#2601C2212yes—
174#2600C2212yes—
175#2600C2212yes—
176#2599C2212yes—
177#2597C2212yes—
178#2597C2212yes—
179#2597C2212yes—
180#2597C2212yes—
181#2597C2212yes—
182#2596C2212yes—
183#2595C2212yes—
184#2595C2212yes—
185#2594C2212yes—
186#2589C2212yes—
187#2589C2212yes—
188#2588C2212yes—
189#2588C2212yes—
190#2587C2212yes—
191#2585C2212yes—
192#2578C2212yes—
193#2578C2212yes—
194#2577C2212yes—
195#2577C2212yes—
196#2577C2212yes—
197#2576C2212yes—
198#2574C2212yes—
199#2574C2212yes—
200#2574C2212yes—
201#2573C2212yes—
202#2570C2211yescharacteristic
203#2569C2212yes—
204#2565C2212yes—
205#2564C2212yes—
206#2560C2212yes—
207#2560C2212yes—
208#2559C2212yes—
209#2559C2212yes—
210#2559C2212yes—
211#2559C2212yes—
212#2557C2212yes—
213#2556C2212yes—
214#2556C2212yes—
215#2556C2212yes—
216#2554C2212yes—
217#2554C2212yes—
218#2554C2212yes—
219#2553C2212yes—
220#2553C2212yes—
221#2544C2211yescharacteristic
222#2543C2212yes—
223#2543C2212yes—
224#2540C2211yescharacteristic
225#2535C2211yescharacteristic
226#2532C2212yes—
227#2531C2212yes—
228#2529C2212yes—
229#2528C2212yes—
230#2525C2212yes—
231#2524C2212yes—
232#2523C2212yes—
233#2522C2212yes—
234#2520C2212yes—
235#2519C2212yes—
236#2519C2212yes—
237#2518C2212yes—
238#2516C2212yes—
239#2516C2212yes—
240#2516C2212yes—
241#2508C2212yes—
242#2508C2212yes—
243#2508C2211yescharacteristic
244#2505C2212yes—
245#2505C2212yes—
246#2498C2212yes—
247#2494C2211yescharacteristic
248#2490C2212yes—
249#2488C2212yes—
250#2488C2212yes—
251#2488C2212yes—
252#2481C2212yes—
253#2479C2212yes—
254#2479C2212yes—
255#2478C2212yes—
256#2478C2212yes—
257#2477C2212yes—
258#2477C2212yes—
259#2477C2212yes—
260#2476C2212yes—
261#2476C2212yes—
262#2476C2212yes—
263#2476C2212yes—
264#2475C2212yes—
265#2474C2212yes—
266#2474C2212yes—
267#2471C2212yes—
268#2471C2212yes—
269#2470C2212yes—
270#2469C2212yes—
271#2466C2212yes—
272#2464C2212yes—
273#2464C2212yes—
274#2464C2212yes—
275#2461C2212yes—
276#2458C2212yes—
277#2458C2212yes—
278#2457C2212yes—
279#2455C2212yes—
280#2448C2212yes—
281#2448C2212yes—
282#2447C2211yescharacteristic
283#2446C2212yes—
284#2444C2212yes—
285#2438C2212yes—
286#2438C2212yes—
287#2438C2212yes—
288#2438C2212yes—
289#2436C2212yes—
290#2432C2212yes—
291#2431C2212yes—
292#2430C2212yes—
293#2430C2212yes—
294#2430C2212yes—
295#2428C2211yescharacteristic
296#2426C2211yescharacteristic
297#2426C2211yescharacteristic
298#2425C2212yes—
299#2423C2212yes—
300#2423C2212yes—
301#2423C2211yescharacteristic
302#2423C2212yes—
303#2423C2212yes—
304#2420C2211yescharacteristic
305#2416C2212yes—
306#2415C2212yes—
307#2415C2211yescharacteristic
308#2414C2211yescharacteristic
309#2414C2212yes—
310#2409C2212yes—
311#2407C2212yes—
312#2407C2212yes—
313#2407C2212yes—
314#2407C2212yes—
315#2406C2212yes—
316#2402C2212yes—
317#2396C2212yes—
318#2396C2212yes—
319#2395C2212yes—
320#2392C2212yes—
321#2379C2212yes—
322#2379C2212yes—
323#2377C2212yes—
324#2377C2212yes—
325#2374C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2372C2212yes—
329#2369C2212yes—
330#2368C2212yes—
331#2368C2212yes—
332#2368C2212yes—
333#2368C2212yes—
334#2368C2212yes—
335#2367C2212yes—
336#2365C2211yescharacteristic
337#2363C2211yescharacteristic
338#2363C2212yes—
339#2363C2212yes—
340#2362C2212yes—
341#2362C2211yescharacteristic
342#2360C2211yescharacteristic
343#2360C2211yescharacteristic
344#2359C2212yes—
345#2359C2212yes—
346#2357C2212yes—
347#2357C2212yes—
348#2355C2211yescharacteristic
349#2355C2212yes—
350#2354C2212yes—
351#2349C2212yes—
352D4×C4⋊C4C2211yescharacteristic
353Q8×C22⋊C4C2211yescharacteristic
354Q8×C22⋊C4C2211yescharacteristic
355#2339C2212yes—
356#2337C2212yes—
357#2337C2212yes—
358#2335C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2333C2212yes—
362#2333C2212yes—
363#2333C2212yes—
364#2332C2212yes—
365#2332C2212yes—
366#2331C2212yes—
367#2329C2212yes—
368#2329C2212yes—
369#2326C2212yes—
370#2325C2212yes—
371#2324C2212yes—
372#2320C2212yes—
373#2318C2212yes—
374#2318C2212yes—
375#2310C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×#124C2211yescharacteristic
378C4×C22⋊Q8C2211yescharacteristic
379C4×C22⋊Q8C2211yescharacteristic
380C4×C22⋊Q8C2212yes—
381C4×#121C2211yescharacteristic
382#2297C2212yes—
383#2297C2212yes—
384#2296C2212yes—
385#2296C2211yescharacteristic
386#2295C2211yescharacteristic
387#2295C2211yescharacteristic
388C2×#391C2211yescharacteristic
389C2×#391C2211yescharacteristic
390#2293C2211yescharacteristic
391#2290C2212yes—
392#2290C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2312yes—
397C23×Q8C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399D4×Q8—28no—
400#548—216no—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×#127C2311yescharacteristic
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#124C2311yescharacteristic
418C2×#124C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2311yescharacteristic
491C22×C42C2311yescharacteristic
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494#401C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
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#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#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#396C2312yes—
598#396C2312yes—
599#396C2312yes—
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#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2311yescharacteristic
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2312yes—
706#391C2312yes—
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#391C2311yescharacteristic
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2311yescharacteristic
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2311yescharacteristic
733#390C2311yescharacteristic
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2311yescharacteristic
739#390C2312yes—
740#390C2311yescharacteristic
741#390C2311yescharacteristic
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2311yescharacteristic
747#389C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2311yescharacteristic
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2311yescharacteristic
776#389C2312yes—
777#389C2311yescharacteristic
778#389C2311yescharacteristic
779#389C2312yes—
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2312yes—
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2311yescharacteristic
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#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#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#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#384C2311yescharacteristic
1027#384C2312yes—
1028#384C2311yescharacteristic
1029#384C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#382C2312yes—
1035#382C2311yescharacteristic
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2311yescharacteristic
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2311yescharacteristic
1064#380C2311yescharacteristic
1065#380C2312yes—
1066#380C2311yescharacteristic
1067#380C2311yescharacteristic
1068#380C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2311yescharacteristic
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2311yescharacteristic
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2311yescharacteristic
1121C4×C22⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2311yescharacteristic
1133C4×C22⋊C4C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—28no—
1145C2×#41—44no—
1146C2×#41—82no—
1147C2×#41—82no—
1148C2×#41—82no—
1149C2×#41—82no—
1150C22×Q8—24no—
1151C22×Q8—81no—
1152C22×Q8—81no—
1153C22×Q8—81no—
1154C22×Q8—81no—
1155C22×Q8#4118yescomplemented
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2411yescharacteristic
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2411yescharacteristic
1171C22×D4C2411yescharacteristic
1172C22×D4C2411yescharacteristic
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C23×C4C2411yescharacteristic
1181C23×C4C2411yescharacteristic
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2411yescharacteristic
1189C23×C4C2411yescharacteristic
1190C23×C4C2411yescharacteristic
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2411yescharacteristic
1198C23×C4C2412yes—
1199C4⋊Q8—24no—
1200C4⋊Q8—28no—
1201#127—81no—
1202#126—28no—
1203#126—44no—
1204#126—82no—
1205#126—82no—
1206#126—82no—
1207#126—82no—
1208#125—82no—
1209#125—82no—
1210#124—28no—
1211#124—28no—
1212#124—28no—
1213#124—24no—
1214#124—81no—
1215#124—81no—
1216#124—82no—
1217#123—44no—
1218#123—44no—
1219#123—44no—
1220#123—44no—
1221#123—82no—
1222#123—82no—
1223#123—82no—
1224#123—82no—
1225C22⋊Q8—28no—
1226C22⋊Q8—28no—
1227C22⋊Q8—28no—
1228C22⋊Q8—24no—
1229C22⋊Q8—28no—
1230C22⋊Q8—24no—
1231C22⋊Q8—28no—
1232C22⋊Q8—42no—
1233C22⋊Q8—44no—
1234C22⋊Q8—81no—
1235C22⋊Q8—81no—
1236C22⋊Q8—82no—
1237C22⋊Q8—82no—
1238C22⋊Q8—81no—
1239C22⋊Q8—82no—
1240#121—28no—
1241#121—28no—
1242#121—28no—
1243#121—44no—
1244#121—44no—
1245#121—44no—
1246#121—42no—
1247#121—42no—
1248#121—81no—
1249#121—82no—
1250#121—82no—
1251#121—81no—
1252#121—82no—
1253#121—81no—
1254#121—81no—
1255#121—82no—
1256C4×Q8—28no—
1257C4×Q8—24no—
1258C4×Q8—42no—
1259C4×Q8—81no—
1260C4×Q8—81no—
1261C4×Q8—81no—
1262C4×Q8—81no—
1263C4×Q8—81no—
1264C4×D4—28no—
1265C4×D4—28no—
1266C4×D4—28no—
1267C4×D4—24no—
1268C4×D4—28no—
1269C4×D4—24no—
1270C4×D4—24no—
1271C4×D4—42no—
1272C4×D4—44no—
1273C4×D4—81no—
1274C4×D4—82no—
1275C4×D4—82no—
1276C4×D4—82no—
1277C4×D4—81no—
1278#117—44no—
1279#117—42no—
1280#117—82no—
1281#117—82no—
1282#117—81no—
1283#117—82no—
1284#117—82no—
1285#117—82no—
1286#117—82no—
1287C2×C4⋊C4—81no—
1288C2×C4⋊C4—81no—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2411yescharacteristic
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2411yescharacteristic
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2411yescharacteristic
1386C2×C22⋊C4C2411yescharacteristic
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×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⋊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⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C42—81no—
1458C2×C42—81no—
1459C2×C42—82no—
1460C2×C42C2411yescharacteristic
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2411yescharacteristic
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2411yescharacteristic
1531#95C2411yescharacteristic
1532#95C2411yescharacteristic
1533#95C2412yes—
1534#95C2411yescharacteristic
1535#95C2411yescharacteristic
1536#95C2411yescharacteristic
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—
1604C24C2512yes—
1605C24C2512yes—
1606C24C2512yes—
1607C24C2511yescharacteristic
1608C24C2511yescharacteristic
1609#41—816no—
1610#41—816no—
1611C2×Q8—22no—
1612C2×Q8—24no—
1613C2×Q8—22no—
1614C2×Q8—22no—
1615C2×Q8—41no—
1616C2×Q8—41no—
1617C2×Q8—41no—
1618C2×Q8—41no—
1619C2×Q8—41no—
1620C2×Q8—41no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—88no—
1633C2×Q8—88no—
1634C2×Q8C2×#4114yes—
1635C2×Q8C2×#4118yes—
1636C2×Q8C2×#4114yes—
1637C2×D4—22no—
1638C2×D4—22no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—22no—
1649C2×D4—22no—
1650C2×D4—22no—
1651C2×D4—22no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—41no—
1655C2×D4—42no—
1656C2×D4—41no—
1657C2×D4—41no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—41no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—41no—
1666C2×D4—42no—
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—41no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C22×C4—22no—
1686C22×C4—24no—
1687C22×C4—22no—
1688C22×C4—24no—
1689C22×C4—24no—
1690C22×C4—22no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—22no—
1697C22×C4—42no—
1698C22×C4—41no—
1699C22×C4—41no—
1700C22×C4—41no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—41no—
1712C22×C4—41no—
1713C22×C4—41no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—41no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—41no—
1723C22×C4—41no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4C2×#4118yes—
1741C22×C4C2×#4114yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2511yescharacteristic
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2511yescharacteristic
1748C22×C4C2511yescharacteristic
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2511yescharacteristic
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2511yescharacteristic
1770C22×C4C2511yescharacteristic
1771C22×C4C2512yes—
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2511yescharacteristic
1775C22×C4C2511yescharacteristic
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—22no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—22no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—22no—
1790C4⋊C4—22no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—22no—
1795C4⋊C4—24no—
1796C4⋊C4—22no—
1797C4⋊C4—24no—
1798C4⋊C4—41no—
1799C4⋊C4—41no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—41no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—41no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—41no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
1821C4⋊C4—42no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—41no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—41no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—41no—
1836C4⋊C4—42no—
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—
1861C22⋊C4—24no—
1862C22⋊C4—22no—
1863C22⋊C4—24no—
1864C22⋊C4—22no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—22no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
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—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—41no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
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—
1944C42—24no—
1945C42—24no—
1946C42—24no—
1947C42—24no—
1948C42—22no—
1949C42—22no—
1950C42—41no—
1951C42—42no—
1952C42—42no—
1953C42—41no—
1954C42—42no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—41no—
1959C42—42no—
1960C42—41no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—41no—
1973C42—42no—
1974C42—41no—
1975C42—42no—
1976C42—42no—
1977C42—41no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C422−1+414yes—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23C22×#4112yes—
2016C23#58512yes—
2017C23C2611yescharacteristic
2018Q8—44no—
2019Q8—44no—
2020Q8—48no—
2021Q8—44no—
2022Q8—82no—
2023Q8—82no—
2024Q8—84no—
2025Q8—84no—
2026D4—28no—
2027D4—48no—
2028D4—82no—
2029D4—82no—
2030D4—82no—
2031D4—84no—
2032D4—84no—
2033D4—84no—
2034D4—84no—
2035D4—84no—
2036D4—84no—
2037D4—84no—
2038D4—84no—
2039D4—84no—
2040D4—162no—
2041D4—162no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—21no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—21no—
2073C2×C4—22no—
2074C2×C4—21no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—21no—
2093C2×C4—22no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—21no—
2103C2×C4—22no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—21no—
2117C2×C4—21no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—21no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—48no—
2137C2×C4—44no—
2138C2×C4—44no—
2139C2×C4—48no—
2140C2×C4—44no—
2141C2×C4—48no—
2142C2×C4—48no—
2143C2×C4—82no—
2144C2×C4—82no—
2145C2×C4—82no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—84no—
2150C2×C4—84no—
2151C2×C4—84no—
2152C2×C4—162no—
2153C2×C4—162no—
2154C2×C4—162no—
2155C2×C4C22×#4114yes—
2156C2×C4C22×#4112yes—
2157C2×C4C22×#4112yes—
2158C2×C4C22×#4114yes—
2159C2×C4C2×2−1+412yes—
2160C2×C4C2×2−1+412yes—
2161C2×C4C2×2−1+412yes—
2162C2×C4#58512yes—
2163C22—22no—
2164C22—22no—
2165C22—22no—
2166C22—22no—
2167C22—22no—
2168C22—22no—
2169C22—41no—
2170C22—41no—
2171C22—41no—
2172C22—41no—
2173C22—41no—
2174C22—41no—
2175C22—41no—
2176C22—41no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22C23×#4111yescharacteristic
2199C22C22×2−1+411yescharacteristic
2200C22C2×#58511yescharacteristic
2201C22C2×#58511yescharacteristic
2202C22H(7,𝔽2)11yescharacteristic
2203C22H(7,𝔽2)11yescharacteristic
2204C22H(7,𝔽2)11yescharacteristic
2205C4—22no—
2206C4—24no—
2207C4—22no—
2208C4—22no—
2209C4—24no—
2210C4—22no—
2211C4—22no—
2212C4—22no—
2213C4—41no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—42no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—41no—
2224C4—42no—
2225C4—42no—
2226C4—41no—
2227C4—42no—
2228C4—42no—
2229C4—41no—
2230C4—41no—
2231C4—42no—
2232C4—42no—
2233C4—42no—
2234C4—41no—
2235C4—42no—
2236C4—42no—
2237C4—41no—
2238C4—42no—
2239C2—42no—
2240C2—42no—
2241C2—82no—
2242C2—82no—
2243C2—82no—
2244C2#6278811yescharacteristic
2245C2#6284411yescharacteristic
2246C2#6288111yescharacteristic
2247C2#6292611yescharacteristic
2248C2#6296311yescharacteristic
2249C2#6300611yescharacteristic
2250C2#6304611yescharacteristic
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. #60044C2semidirect
2. #59928C2semidirect
3. #52267C2semidirect
4. #51920C2semidirect
5. #51838C2semidirect
6. #49462C2semidirect
7. #48565C2semidirect
8. #48030C2semidirect
9. #47911C2semidirect
10. #46959C2semidirect
11. #46410C2semidirect
12. #46099C2semidirect
13. #45808C2semidirect
14. #44583C2semidirect
15. #44406C2semidirect
16. #44243C2semidirect
17. #43330C2semidirect
18. #43068C2semidirect
19. #42806C2semidirect
20. #42280C2semidirect
21. #41631C2semidirect
22. #41069C2semidirect
23. #39830C2semidirect
24. #39743C2semidirect
25. #39581C2semidirect
26. #38876C2semidirect
27. #38821C2semidirect
28. #38693C2semidirect
29. #38670C2semidirect
30. #38494C2semidirect
31. #38484C2semidirect
32. #37219C2semidirect
33. #37194C2semidirect
34. #36402C2semidirect
35. #35811C2semidirect
36. #35437C2semidirect
37. #35109C2semidirect
38. #34474C2semidirect
39. #34334C2semidirect
1155. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600442
#599282
#522672
#519202
#518382
#494622
#485652
#480302
#479112
#469592
#464102
#460992
#458082
#445832
#444062
#442432
#433302
#430682
#428062
#422802
#416312
#410692
#398302
#397432
#395812
#388762
#388212
#386932
#386702
#384942
#384842
#372192
#371942
#364022
#358112
#354372
#351092
#344742
#343342