Finite Group Databasebeta

← #7682375

Subgroups — #7682375

Order 512.

4737 conjugacy classes of subgroups.

The subgroup lattice has 2083 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60017C212yesmaximal, complemented
2#59971C212yesmaximal, complemented
3#59911C212yesmaximal, complemented
4#59898C212yesmaximal, complemented
5#59882C212yesmaximal, complemented
6#59867C212yesmaximal, complemented
7#59795C212yesmaximal, complemented
8#59783C212yesmaximal, complemented
9#59755C212yesmaximal, complemented
10#59747C212yesmaximal, complemented
11#59533C212yesmaximal, complemented
12#59485C212yesmaximal, complemented
13#44836C211yesmaximal, characteristic, complemented
14#44829C211yesmaximal, characteristic, complemented
15#44816C212yesmaximal, complemented
16#44469C212yesmaximal, complemented
17#44459C212yesmaximal, complemented
18#44420C212yesmaximal, complemented
19#44169C212yesmaximal, complemented
20#44107C212yesmaximal, complemented
21#44101C212yesmaximal, complemented
22#43967C212yesmaximal, complemented
23#43903C212yesmaximal, complemented
24#43487C211yesmaximal, characteristic, complemented
25#43426C212yesmaximal, complemented
26#43389C211yesmaximal, characteristic, complemented
27#35502C211yesmaximal, characteristic, complemented
28#35501C211yesmaximal, characteristic, complemented
29#35433C212yesmaximal, complemented
30#35406C212yesmaximal, complemented
31#34968C211yesmaximal, characteristic, complemented
32#34906C212yesmaximal, complemented
33#34327C212yesmaximal, complemented
34#34326C212yesmaximal, complemented
35#34284C212yesmaximal, complemented
36C2×#556C2212yes—
37C2×#548C2212yes—
38C2×#542C2212yes—
39#2804C2211yescharacteristic
40#2803C2212yes—
41#2799C2212yes—
42#2799C2212yes—
43#2795C2212yes—
44#2795C2211yescharacteristic
45#2786C2212yes—
46#2782C2211yescharacteristic
47#2777C2212yes—
48#2776C2212yes—
49#2773C2212yes—
50#2772C2212yes—
51#2770C2212yes—
52#2764C2211yescharacteristic
53#2762C2212yes—
54#2759C2212yes—
55#2759C2212yes—
56#2758C2212yes—
57#2756C2212yes—
58#2755C2212yes—
59#2755C2212yes—
60#2753C2212yes—
61#2753C2212yes—
62#2753C2212yes—
63#2752C2211yescharacteristic
64#2751C2212yes—
65#2741C2212yes—
66#2741C2212yes—
67#2733C2212yes—
68#2731C2212yes—
69#2730C2212yes—
70#2729C2212yes—
71#2722C2212yes—
72#2718C2212yes—
73#2716C2212yes—
74#2716C2212yes—
75#2715C2212yes—
76#2715C2212yes—
77#2714C2212yes—
78#2712C2212yes—
79#2712C2212yes—
80#2712C2212yes—
81#2712C2212yes—
82#2699C2211yescharacteristic
83#2698C2212yes—
84#2691C2212yes—
85#2691C2212yes—
86#2690C2212yes—
87#2677C2211yescharacteristic
88#2676C2212yes—
89#2676C2212yes—
90#2675C2211yescharacteristic
91#2612C2211yescharacteristic
92#2611C2211yescharacteristic
93#2607C2211yescharacteristic
94#2607C2212yes—
95#2607C2211yescharacteristic
96#2606C2211yescharacteristic
97#2605C2212yes—
98#2604C2212yes—
99#2603C2212yes—
100#2603C2212yes—
101#2602C2212yes—
102#2602C2212yes—
103#2602C2212yes—
104#2602C2212yes—
105#2600C2211yescharacteristic
106#2600C2212yes—
107#2598C2211yescharacteristic
108#2597C2212yes—
109#2597C2212yes—
110#2597C2212yes—
111#2596C2212yes—
112#2596C2212yes—
113#2595C2212yes—
114#2595C2212yes—
115#2595C2212yes—
116#2595C2212yes—
117#2595C2212yes—
118#2593C2211yescharacteristic
119#2591C2211yescharacteristic
120#2588C2212yes—
121#2588C2212yes—
122#2588C2212yes—
123#2585C2212yes—
124#2582C2211yescharacteristic
125#2578C2212yes—
126#2578C2212yes—
127#2578C2212yes—
128#2578C2212yes—
129#2577C2212yes—
130#2576C2212yes—
131#2576C2212yes—
132#2574C2212yes—
133#2573C2212yes—
134#2573C2212yes—
135#2572C2212yes—
136#2569C2212yes—
137#2569C2212yes—
138#2568C2212yes—
139#2562C2211yescharacteristic
140#2560C2212yes—
141#2560C2212yes—
142#2560C2212yes—
143#2560C2212yes—
144#2560C2212yes—
145#2559C2212yes—
146#2559C2212yes—
147#2559C2212yes—
148#2558C2212yes—
149#2557C2212yes—
150#2556C2212yes—
151#2555C2211yescharacteristic
152#2555C2212yes—
153#2555C2212yes—
154#2554C2212yes—
155#2533C2212yes—
156#2533C2212yes—
157#2532C2212yes—
158#2532C2212yes—
159#2532C2212yes—
160#2532C2212yes—
161#2532C2212yes—
162#2532C2212yes—
163#2532C2212yes—
164#2531C2212yes—
165#2531C2212yes—
166#2530C2212yes—
167#2530C2212yes—
168#2529C2212yes—
169#2529C2212yes—
170#2528C2212yes—
171#2527C2212yes—
172#2527C2212yes—
173#2527C2212yes—
174#2527C2212yes—
175#2526C2212yes—
176#2526C2212yes—
177#2525C2212yes—
178#2525C2212yes—
179#2524C2212yes—
180#2523C2212yes—
181#2523C2212yes—
182#2521C2212yes—
183#2521C2212yes—
184#2521C2212yes—
185#2521C2212yes—
186#2521C2212yes—
187#2520C2212yes—
188#2520C2212yes—
189#2520C2212yes—
190#2519C2212yes—
191#2518C2212yes—
192#2517C2211yescharacteristic
193#2517C2211yescharacteristic
194#2516C2212yes—
195#2516C2212yes—
196#2515C2212yes—
197#2515C2212yes—
198#2511C2212yes—
199#2511C2212yes—
200#2510C2212yes—
201#2505C2212yes—
202#2505C2212yes—
203#2505C2212yes—
204#2505C2212yes—
205#2502C2212yes—
206#2500C2211yescharacteristic
207#2498C2212yes—
208#2494C2212yes—
209#2491C2212yes—
210#2491C2212yes—
211#2490C2212yes—
212#2488C2212yes—
213#2485C2212yes—
214#2484C2211yescharacteristic
215#2481C2212yes—
216#2479C2212yes—
217#2479C2212yes—
218#2477C2212yes—
219#2477C2212yes—
220#2475C2212yes—
221#2471C2212yes—
222#2469C2212yes—
223#2469C2212yes—
224#2469C2212yes—
225#2469C2212yes—
226#2468C2212yes—
227#2468C2212yes—
228#2468C2212yes—
229#2467C2212yes—
230#2467C2212yes—
231#2467C2212yes—
232#2467C2212yes—
233#2465C2212yes—
234#2465C2212yes—
235#2465C2212yes—
236#2465C2212yes—
237#2465C2212yes—
238#2464C2212yes—
239#2464C2212yes—
240#2463C2212yes—
241#2462C2212yes—
242#2462C2212yes—
243#2461C2212yes—
244#2458C2212yes—
245#2458C2212yes—
246#2457C2212yes—
247#2456C2212yes—
248#2452C2212yes—
249#2451C2212yes—
250#2451C2212yes—
251#2448C2212yes—
252#2448C2212yes—
253#2448C2212yes—
254#2446C2212yes—
255#2446C2212yes—
256#2444C2212yes—
257#2444C2212yes—
258#2443C2212yes—
259#2436C2212yes—
260#2434C2212yes—
261#2430C2212yes—
262#2426C2212yes—
263#2420C2212yes—
264#2414C2212yes—
265#2409C2212yes—
266#2407C2212yes—
267#2399C2211yescharacteristic
268#2398C2211yescharacteristic
269#2398C2212yes—
270#2396C2211yescharacteristic
271#2395C2212yes—
272#2395C2212yes—
273#2392C2211yescharacteristic
274#2388C2212yes—
275#2374C2212yes—
276#2373C2212yes—
277#2373C2212yes—
278#2373C2212yes—
279#2373C2212yes—
280#2373C2212yes—
281#2373C2212yes—
282#2373C2212yes—
283#2373C2212yes—
284#2372C2212yes—
285#2372C2212yes—
286#2372C2212yes—
287#2372C2212yes—
288#2371C2212yes—
289#2369C2212yes—
290#2368C2212yes—
291#2368C2212yes—
292#2368C2212yes—
293#2368C2212yes—
294#2367C2212yes—
295#2367C2212yes—
296#2367C2212yes—
297#2367C2212yes—
298#2367C2212yes—
299#2367C2212yes—
300#2367C2212yes—
301#2365C2212yes—
302#2365C2212yes—
303#2364C2212yes—
304#2364C2212yes—
305#2364C2212yes—
306#2363C2212yes—
307#2362C2212yes—
308#2362C2212yes—
309#2362C2212yes—
310#2361C2212yes—
311#2361C2212yes—
312#2360C2212yes—
313#2357C2212yes—
314#2356C2212yes—
315#2356C2212yes—
316#2356C2212yes—
317#2355C2212yes—
318#2355C2212yes—
319#2353C2212yes—
320#2353C2212yes—
321#2353C2212yes—
322#2352C2212yes—
323#2345C2212yes—
324#2343C2212yes—
325#2343C2212yes—
326Q8×C22⋊C4C2212yes—
327Q8×C22⋊C4C2212yes—
328#2339C2212yes—
329#2337C2212yes—
330#2337C2212yes—
331#2336C2211yescharacteristic
332#2335C2212yes—
333#2335C2212yes—
334#2334C2212yes—
335#2334C2212yes—
336#2333C2211yescharacteristic
337#2332C2212yes—
338#2332C2212yes—
339#2332C2212yes—
340#2332C2212yes—
341#2327C2212yes—
342#2326C2212yes—
343#2325C2212yes—
344#2325C2212yes—
345#2319C2212yes—
346C4×#126C2212yes—
347C4×#126C2212yes—
348C4×#126C2212yes—
349C4×#126C2212yes—
350C4×#124C2212yes—
351C4×#124C2212yes—
352C4×#124C2212yes—
353C4×C22⋊Q8C2212yes—
354C4×C22⋊Q8C2212yes—
355C4×C22⋊Q8C2212yes—
356C4×C22⋊Q8C2212yes—
357C4×#123C2212yes—
358C4×#123C2212yes—
359C4×#123C2212yes—
360C4×#121C2212yes—
361#2298C2212yes—
362#2298C2212yes—
363#2298C2212yes—
364#2298C2212yes—
365#2298C2211yescharacteristic
366#2297C2212yes—
367#2297C2212yes—
368#2295C2212yes—
369#2295C2212yes—
370#2295C2212yes—
371C2×#391C2212yes—
372#2276C2212yes—
373#2275C2212yes—
374#2275C2211yescharacteristic
375#2274C2211yescharacteristic
376C42×Q8C2211yescharacteristic
377C42×D4C2212yes—
378C42×D4C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#556—216no—
382#548—216no—
383#542—216no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2311yescharacteristic
457C2×#117C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C42C2312yes—
461C22×C42C2312yes—
462#401C2312yes—
463#401C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2311yescharacteristic
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2311yescharacteristic
485#400C2312yes—
486#400C2311yescharacteristic
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#399C2311yescharacteristic
492#399C2312yes—
493#399C2312yes—
494#399C2311yescharacteristic
495#399C2312yes—
496#399C2312yes—
497#399C2311yescharacteristic
498#399C2312yes—
499#398C2312yes—
500#398C2312yes—
501#398C2312yes—
502#398C2312yes—
503#398C2312yes—
504#398C2311yescharacteristic
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2311yescharacteristic
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#397C2312yes—
520#397C2312yes—
521#397C2312yes—
522#397C2312yes—
523#397C2312yes—
524#397C2312yes—
525#397C2312yes—
526#397C2312yes—
527#397C2312yes—
528#397C2312yes—
529#397C2312yes—
530#397C2312yes—
531#397C2312yes—
532#397C2312yes—
533#397C2312yes—
534#397C2312yes—
535#397C2311yescharacteristic
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2311yescharacteristic
540#397C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#396C2312yes—
546#396C2312yes—
547#396C2312yes—
548#396C2312yes—
549#396C2312yes—
550#396C2312yes—
551#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#395C2312yes—
555#395C2312yes—
556#395C2312yes—
557#395C2312yes—
558#395C2312yes—
559#395C2312yes—
560#395C2311yescharacteristic
561#395C2312yes—
562#395C2312yes—
563#395C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2312yes—
567#394C2312yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2311yescharacteristic
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2311yescharacteristic
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#393C2312yes—
592#393C2312yes—
593#393C2312yes—
594#393C2312yes—
595#393C2312yes—
596#393C2312yes—
597#393C2312yes—
598#393C2312yes—
599#393C2311yescharacteristic
600#393C2312yes—
601#393C2312yes—
602#393C2312yes—
603#393C2312yes—
604#392C2311yescharacteristic
605#392C2312yes—
606#392C2312yes—
607#392C2312yes—
608#392C2312yes—
609#392C2312yes—
610#392C2311yescharacteristic
611#392C2312yes—
612#392C2312yes—
613#392C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2312yes—
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#388C2312yes—
716#388C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
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#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2312yes—
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#385C2312yes—
913#385C2312yes—
914#385C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2311yescharacteristic
943#385C2311yescharacteristic
944#384C2312yes—
945#384C2311yescharacteristic
946#383C2312yes—
947#383C2312yes—
948#383C2312yes—
949#383C2312yes—
950#383C2312yes—
951#383C2311yescharacteristic
952#383C2312yes—
953#383C2312yes—
954#383C2312yes—
955#382C2312yes—
956#382C2312yes—
957#382C2312yes—
958#382C2312yes—
959#382C2312yes—
960#382C2312yes—
961#382C2312yes—
962#382C2311yescharacteristic
963#381C2311yescharacteristic
964#381C2312yes—
965#381C2312yes—
966#381C2312yes—
967#381C2312yes—
968#381C2312yes—
969#381C2312yes—
970#381C2311yescharacteristic
971#381C2311yescharacteristic
972#380C2312yes—
973#380C2312yes—
974#380C2312yes—
975#380C2312yes—
976#380C2312yes—
977#380C2312yes—
978#380C2312yes—
979#380C2312yes—
980#380C2312yes—
981#380C2312yes—
982#380C2312yes—
983#380C2312yes—
984#380C2312yes—
985C4×C4⋊C4C2311yescharacteristic
986C4×C4⋊C4C2312yes—
987C4×C4⋊C4C2312yes—
988C4×C4⋊C4C2312yes—
989C4×C4⋊C4C2312yes—
990C4×C4⋊C4C2312yes—
991C4×C4⋊C4C2312yes—
992C4×C4⋊C4C2312yes—
993C4×C4⋊C4C2312yes—
994C4×C4⋊C4C2312yes—
995C4×C4⋊C4C2312yes—
996C4×C4⋊C4C2312yes—
997C4×C4⋊C4C2311yescharacteristic
998C4×C4⋊C4C2312yes—
999C4×C4⋊C4C2312yes—
1000C4×C4⋊C4C2312yes—
1001C4×C4⋊C4C2312yes—
1002C4×C4⋊C4C2312yes—
1003C4×C4⋊C4C2312yes—
1004C4×C4⋊C4C2312yes—
1005C4×C4⋊C4C2312yes—
1006C4×C4⋊C4C2312yes—
1007C4×C4⋊C4C2312yes—
1008C4×C4⋊C4C2311yescharacteristic
1009C4×C4⋊C4C2311yescharacteristic
1010C4×C4⋊C4C2312yes—
1011C4×C4⋊C4C2312yes—
1012C4×C4⋊C4C2312yes—
1013C4×C4⋊C4C2312yes—
1014C4×C4⋊C4C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2312yes—
1017C4×C4⋊C4C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C22⋊C4C2312yes—
1032C4×C22⋊C4C2312yes—
1033C4×C22⋊C4C2312yes—
1034C4×C22⋊C4C2312yes—
1035C4×C22⋊C4C2312yes—
1036C4×C22⋊C4C2312yes—
1037C4×C22⋊C4C2312yes—
1038C4×C22⋊C4C2312yes—
1039C4×C22⋊C4C2312yes—
1040C4×C22⋊C4C2312yes—
1041C4×C22⋊C4C2312yes—
1042C4×C22⋊C4C2312yes—
1043C4×C22⋊C4C2312yes—
1044C4×C22⋊C4C2312yes—
1045C4×C22⋊C4C2312yes—
1046C4×C22⋊C4C2312yes—
1047C4×C22⋊C4C2312yes—
1048C4×C22⋊C4C2312yes—
1049C4×C22⋊C4C2312yes—
1050C4×C22⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2311yescharacteristic
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2311yescharacteristic
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2311yescharacteristic
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081#376C2312yes—
1082#376C2312yes—
1083#376C2312yes—
1084#376C2312yes—
1085#376C2312yes—
1086#376C2312yes—
1087#376C2312yes—
1088#376C2311yescharacteristic
1089#376C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2311yescharacteristic
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C43C2311yescharacteristic
1099C43C2312yes—
1100C43C2312yes—
1101C2×#41—28no—
1102C2×#41—44no—
1103C2×#41—82no—
1104C22×Q8—28no—
1105C22×Q8—44no—
1106C22×Q8—82no—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C4⋊Q8—28no—
1143C4⋊Q8—28no—
1144C4⋊Q8—82no—
1145#126—28no—
1146#126—28no—
1147#126—28no—
1148#126—28no—
1149#126—28no—
1150#126—28no—
1151#126—44no—
1152#126—44no—
1153#126—82no—
1154#125—42no—
1155#125—44no—
1156#124—28no—
1157#124—28no—
1158#124—28no—
1159#124—28no—
1160#124—28no—
1161#124—28no—
1162#124—28no—
1163#124—28no—
1164#124—44no—
1165#123—28no—
1166#123—28no—
1167#123—44no—
1168#123—44no—
1169C22⋊Q8—28no—
1170C22⋊Q8—28no—
1171C22⋊Q8—28no—
1172C22⋊Q8—28no—
1173C22⋊Q8—28no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8#41116yescomplemented
1177#121—28no—
1178#121—28no—
1179#121—28no—
1180#121—28no—
1181#121—42no—
1182#121—44no—
1183#121—82no—
1184#121—82no—
1185C4×Q8—28no—
1186C4×Q8—28no—
1187C4×Q8—28no—
1188C4×Q8—28no—
1189C4×Q8—28no—
1190C4×Q8—42no—
1191C4×Q8—44no—
1192C4×Q8—44no—
1193C4×Q8—82no—
1194C4×Q8—82no—
1195C4×Q8—82no—
1196C4×D4—28no—
1197C4×D4—28no—
1198C4×D4—28no—
1199C4×D4—28no—
1200C4×D4—28no—
1201C4×D4—42no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—42no—
1205C4×D4—44no—
1206C4×D4—44no—
1207C4×D4—82no—
1208C4×D4—82no—
1209C4×D4—82no—
1210C4×D4—82no—
1211#117—28no—
1212#117—28no—
1213#117—28no—
1214#117—42no—
1215#117—44no—
1216C2×C4⋊C4—44no—
1217C2×C4⋊C4—42no—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2411yescharacteristic
1322C2×C22⋊C4C2411yescharacteristic
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2411yescharacteristic
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2411yescharacteristic
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C42—82no—
1366C2×C42—82no—
1367C2×C42C2412yes—
1368C2×C42C2411yescharacteristic
1369C2×C42C2411yescharacteristic
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2411yescharacteristic
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2411yescharacteristic
1408C2×C42C2412yes—
1409C2×C42C2411yescharacteristic
1410C2×C42C2412yes—
1411C2×C42C2411yescharacteristic
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414#95C2411yescharacteristic
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2411yescharacteristic
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2411yescharacteristic
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2411yescharacteristic
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2411yescharacteristic
1505#95C2411yescharacteristic
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#95C2411yescharacteristic
1527#95C2411yescharacteristic
1528C24C2512yes—
1529C24C2511yescharacteristic
1530C24C2512yes—
1531C24C2512yes—
1532#41—816no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—24no—
1536C2×Q8—24no—
1537C2×Q8—24no—
1538C2×Q8—24no—
1539C2×Q8—24no—
1540C2×Q8—24no—
1541C2×Q8—24no—
1542C2×Q8—41no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—816no—
1553C2×Q8C2×#4118yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—41no—
1568C2×D4—41no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—42no—
1587C2×D4—41no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—22no—
1599C22×C4—24no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—41no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—41no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—41no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—41no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—41no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—41no—
1634C22×C4C2×#4118yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C22×C4C2511yescharacteristic
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2511yescharacteristic
1652C22×C4C2511yescharacteristic
1653C22×C4C2511yescharacteristic
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2511yescharacteristic
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—41no—
1700C4⋊C4—41no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
1703C4⋊C4—41no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—41no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—41no—
1727C4⋊C4—41no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4C2×#4118yes—
1736C4⋊C4C2×#4118yes—
1737C4⋊C4C2×#4118yes—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—41no—
1780C22⋊C4—42no—
1781C22⋊C4—41no—
1782C22⋊C4—41no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—41no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4C2×#4118yes—
1812C22⋊C4C2×#4118yes—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—24no—
1817C42—24no—
1818C42—24no—
1819C42—24no—
1820C42—24no—
1821C42—24no—
1822C42—24no—
1823C42—24no—
1824C42—24no—
1825C42—24no—
1826C42—24no—
1827C42—22no—
1828C42—22no—
1829C42—24no—
1830C42—24no—
1831C42—41no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—41no—
1839C42—41no—
1840C42—41no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—41no—
1855C42—41no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—21no—
1878C23—22no—
1879C23—22no—
1880C23—21no—
1881C23—22no—
1882C23—21no—
1883C23—22no—
1884C23—22no—
1885C23C22×#4114yes—
1886C23C2611yescharacteristic
1887Q8—48no—
1888Q8—48no—
1889Q8—44no—
1890Q8—48no—
1891Q8—48no—
1892Q8—84no—
1893Q8—84no—
1894D4—48no—
1895D4—48no—
1896D4—48no—
1897D4—44no—
1898D4—44no—
1899D4—84no—
1900D4—84no—
1901D4—84no—
1902D4—84no—
1903D4—84no—
1904D4—162no—
1905D4—161no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—21no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
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—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—48no—
1988C2×C4—44no—
1989C2×C4—48no—
1990C2×C4—48no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—84no—
1994C2×C4—82no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—84no—
1998C2×C4—84no—
1999C2×C4—162no—
2000C2×C4—162no—
2001C2×C4—162no—
2002C2×C4—161no—
2003C2×C4C22×#4114yes—
2004C2×C4C22×#4114yes—
2005C2×C4C22×#4114yes—
2006C2×C4C22×#4114yes—
2007C2×C4C22×#4114yes—
2008C2×C4C22×#4114yes—
2009C2×C4#58512yes—
2010C2×C4#58514yes—
2011C22—24no—
2012C22—24no—
2013C22—24no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—41no—
2031C22—41no—
2032C22—42no—
2033C22—42no—
2034C22—41no—
2035C22—42no—
2036C22—42no—
2037C22C23×#4112yes—
2038C22C2×#58512yes—
2039C22C2×#58511yescharacteristic
2040C22H(7,𝔽2)11yescharacteristic
2041C222−1+611yescharacteristic
2042C4—24no—
2043C4—24no—
2044C4—24no—
2045C4—24no—
2046C4—24no—
2047C4—22no—
2048C4—24no—
2049C4—24no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—41no—
2064C4—42no—
2065C4—41no—
2066C4—42no—
2067C4—42no—
2068C4—41no—
2069C4—42no—
2070C4—41no—
2071C4—42no—
2072C4—41no—
2073C2—44no—
2074C2—82no—
2075C2—82no—
2076C2—81no—
2077C2#41211yescharacteristic
2078C2#6284111yescharacteristic
2079C2#6286911yescharacteristic
2080C2#6299012yes—
2081C2#6300712yes—
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. #60017C2semidirect
2. #59971C2semidirect
3. #59911C2semidirect
4. #59898C2semidirect
5. #59882C2semidirect
6. #59867C2semidirect
7. #59795C2semidirect
8. #59783C2semidirect
9. #59755C2semidirect
10. #59747C2semidirect
11. #59533C2semidirect
12. #59485C2semidirect
13. #44836C2semidirect
14. #44829C2semidirect
15. #44816C2semidirect
16. #44469C2semidirect
17. #44459C2semidirect
18. #44420C2semidirect
19. #44169C2semidirect
20. #44107C2semidirect
21. #44101C2semidirect
22. #43967C2semidirect
23. #43903C2semidirect
24. #43487C2semidirect
25. #43426C2semidirect
26. #43389C2semidirect
27. #35502C2semidirect
28. #35501C2semidirect
29. #35433C2semidirect
30. #35406C2semidirect
31. #34968C2semidirect
32. #34906C2semidirect
33. #34327C2semidirect
34. #34326C2semidirect
35. #34284C2semidirect
1176. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600172
#599712
#599112
#598982
#598822
#598672
#597952
#597832
#597552
#597472
#595332
#594852
#448362
#448292
#448162
#444692
#444592
#444202
#441692
#441072
#441012
#439672
#439032
#434872
#434262
#433892
#355022
#355012
#354332
#354062
#349682
#349062
#343272
#343262
#342842