Finite Group Databasebeta

← #7714673

Subgroups — #7714673

Order 512.

4350 conjugacy classes of subgroups.

The subgroup lattice has 2048 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52040C212yesmaximal, complemented
2#52037C212yesmaximal, complemented
3#52036C212yesmaximal, complemented
4#52035C212yesmaximal, complemented
5#51787C212yesmaximal, complemented
6#51786C212yesmaximal, complemented
7#51597C212yesmaximal, complemented
8#51596C212yesmaximal, complemented
9#47773C212yesmaximal, complemented
10#47772C212yesmaximal, complemented
11#47726C212yesmaximal, complemented
12#47725C212yesmaximal, complemented
13#47019C212yesmaximal, complemented
14#46844C212yesmaximal, complemented
15#46443C212yesmaximal, complemented
16#46435C212yesmaximal, complemented
17#39984C212yesmaximal, complemented
18#39981C212yesmaximal, complemented
19#39967C212yesmaximal, complemented
20#39964C212yesmaximal, complemented
21#38448C212yesmaximal, complemented
22#38444C212yesmaximal, complemented
23#38442C212yesmaximal, complemented
24#38440C212yesmaximal, complemented
25#37566C211yesmaximal, characteristic, complemented
26#37562C211yesmaximal, characteristic, complemented
27#37138C212yesmaximal, complemented
28#37136C212yesmaximal, complemented
29#35192C211yesmaximal, characteristic, complemented
30#35146C211yesmaximal, characteristic, complemented
31#35018C212yesmaximal, complemented
32#35016C212yesmaximal, complemented
33#34393C211yesmaximal, characteristic
34#34388C211yesmaximal, characteristic
35#34086C211yesmaximal, characteristic
36C2×#532C2211yescharacteristic
37#2864C2211yescharacteristic
38#2864C2211yescharacteristic
39#2863C2212yes—
40#2863C2212yes—
41#2862C2211yescharacteristic
42#2862C2211yescharacteristic
43#2857C2212yes—
44#2855C2212yes—
45#2855C2212yes—
46#2851C2212yes—
47#2843C2212yes—
48#2843C2212yes—
49#2841C2212yes—
50#2841C2212yes—
51#2811C2212yes—
52#2809C2212yes—
53#2807C2212yes—
54#2807C2212yes—
55#2806C2212yes—
56#2806C2212yes—
57#2806C2212yes—
58#2806C2212yes—
59#2805C2212yes—
60#2804C2212yes—
61#2804C2212yes—
62#2804C2212yes—
63#2804C2212yes—
64#2804C2212yes—
65#2802C2212yes—
66#2799C2212yes—
67#2799C2212yes—
68#2799C2212yes—
69#2799C2212yes—
70#2792C2212yes—
71#2791C2212yes—
72#2791C2212yes—
73#2790C2212yes—
74#2790C2212yes—
75#2788C2212yes—
76#2788C2212yes—
77#2788C2212yes—
78#2788C2212yes—
79#2784C2212yes—
80#2784C2212yes—
81#2784C2212yes—
82#2784C2212yes—
83#2784C2212yes—
84#2784C2212yes—
85#2784C2212yes—
86#2780C2212yes—
87#2780C2212yes—
88#2780C2212yes—
89#2780C2212yes—
90#2780C2212yes—
91#2780C2212yes—
92#2780C2212yes—
93#2774C2212yes—
94#2774C2212yes—
95#2768C2212yes—
96#2768C2212yes—
97#2768C2212yes—
98#2768C2212yes—
99#2768C2212yes—
100#2768C2212yes—
101#2763C2212yes—
102#2763C2212yes—
103#2763C2212yes—
104#2763C2212yes—
105#2755C2212yes—
106#2755C2212yes—
107#2755C2212yes—
108#2748C2212yes—
109#2748C2212yes—
110#2748C2212yes—
111#2742C2212yes—
112#2742C2212yes—
113#2734C2212yes—
114#2732C2212yes—
115#2732C2212yes—
116#2732C2212yes—
117#2729C2212yes—
118#2729C2212yes—
119#2729C2212yes—
120#2729C2212yes—
121#2729C2212yes—
122#2729C2212yes—
123#2713C2212yes—
124#2713C2212yes—
125#2713C2212yes—
126#2704C2212yes—
127#2704C2212yes—
128#2692C2212yes—
129#2692C2212yes—
130#2692C2212yes—
131#2692C2212yes—
132#2692C2212yes—
133#2692C2212yes—
134#2692C2212yes—
135#2692C2212yes—
136#2692C2212yes—
137#2692C2212yes—
138#2692C2212yes—
139#2692C2212yes—
140#2692C2212yes—
141#2683C2212yes—
142#2683C2212yes—
143#2677C2212yes—
144#2677C2212yes—
145#2677C2212yes—
146#2677C2212yes—
147#2667C2212yes—
148#2667C2211yescharacteristic
149#2667C2211yescharacteristic
150#2666C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2666C2212yes—
156#2666C2212yes—
157#2666C2212yes—
158#2666C2212yes—
159#2666C2212yes—
160#2665C2212yes—
161#2665C2212yes—
162#2665C2212yes—
163#2665C2212yes—
164#2665C2212yes—
165#2665C2211yescharacteristic
166#2665C2211yescharacteristic
167#2659C2212yes—
168#2646C2212yes—
169#2612C2212yes—
170#2612C2212yes—
171#2608C2212yes—
172#2608C2212yes—
173#2607C2212yes—
174#2607C2212yes—
175#2607C2212yes—
176#2607C2212yes—
177#2606C2212yes—
178#2606C2212yes—
179#2606C2211yescharacteristic
180#2606C2211yescharacteristic
181#2606C2212yes—
182#2605C2212yes—
183#2605C2212yes—
184#2605C2212yes—
185#2605C2212yes—
186#2605C2211yescharacteristic
187#2605C2211yescharacteristic
188#2605C2212yes—
189#2590C2212yes—
190#2590C2212yes—
191#2589C2212yes—
192#2589C2212yes—
193#2588C2212yes—
194#2588C2212yes—
195#2587C2212yes—
196#2587C2212yes—
197#2586C2212yes—
198#2586C2212yes—
199#2586C2212yes—
200#2585C2212yes—
201#2583C2212yes—
202#2583C2212yes—
203#2581C2212yes—
204#2581C2212yes—
205#2580C2212yes—
206#2579C2212yes—
207#2579C2212yes—
208#2579C2212yes—
209#2574C2212yes—
210#2574C2212yes—
211#2574C2212yes—
212#2574C2212yes—
213#2571C2212yes—
214#2569C2212yes—
215#2569C2212yes—
216#2569C2211yescharacteristic
217#2569C2211yescharacteristic
218#2569C2212yes—
219#2568C2212yes—
220#2567C2212yes—
221#2566C2212yes—
222#2564C2212yes—
223#2564C2212yes—
224#2564C2212yes—
225#2564C2212yes—
226#2564C2212yes—
227#2563C2212yes—
228#2551C2212yes—
229#2549C2212yes—
230#2549C2212yes—
231#2549C2212yes—
232#2549C2211yescharacteristic
233#2549C2211yescharacteristic
234#2549C2212yes—
235#2549C2212yes—
236#2538C2212yes—
237#2522C2212yes—
238#2522C2212yes—
239#2520C2212yes—
240#2520C2212yes—
241#2520C2212yes—
242#2511C2212yes—
243#2505C2212yes—
244#2505C2212yes—
245#2505C2212yes—
246#2505C2212yes—
247#2505C2212yes—
248#2505C2212yes—
249#2492C2212yes—
250#2492C2212yes—
251#2487C2212yes—
252#2473C2212yes—
253#2473C2212yes—
254#2465C2212yes—
255#2465C2212yes—
256#2462C2212yes—
257#2454C2212yes—
258#2453C2212yes—
259#2453C2212yes—
260#2452C2212yes—
261#2452C2212yes—
262#2452C2212yes—
263#2451C2212yes—
264#2451C2212yes—
265#2451C2212yes—
266#2450C2212yes—
267#2450C2212yes—
268#2450C2212yes—
269#2450C2212yes—
270#2450C2212yes—
271#2450C2212yes—
272#2450C2212yes—
273#2450C2212yes—
274#2450C2212yes—
275#2450C2212yes—
276#2450C2212yes—
277#2449C2212yes—
278#2449C2212yes—
279#2449C2212yes—
280#2449C2212yes—
281#2449C2212yes—
282#2446C2212yes—
283#2446C2212yes—
284#2441C2212yes—
285#2440C2212yes—
286#2440C2212yes—
287#2439C2212yes—
288#2439C2212yes—
289#2439C2212yes—
290#2439C2212yes—
291#2439C2212yes—
292#2439C2212yes—
293#2439C2212yes—
294#2438C2212yes—
295#2438C2212yes—
296#2438C2212yes—
297#2438C2212yes—
298#2438C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2438C2212yes—
302#2434C2212yes—
303#2434C2212yes—
304#2429C2212yes—
305#2429C2212yes—
306#2417C2212yes—
307#2417C2212yes—
308#2417C2212yes—
309#2409C2212yes—
310#2409C2212yes—
311#2409C2212yes—
312#2409C2212yes—
313#2381C2211yescharacteristic
314#2381C2211yescharacteristic
315#2380C2211yescharacteristic
316#2380C2211yescharacteristic
317#2377C2212yes—
318#2377C2212yes—
319#2366C2212yes—
320#2365C2212yes—
321#2364C2212yes—
322#2364C2212yes—
323#2357C2211yescharacteristic
324#2357C2211yescharacteristic
325#2353C2212yes—
326#2353C2212yes—
327#2349C2211yescharacteristic
328#2349C2211yescharacteristic
329#2341C2212yes—
330#2339C2212yes—
331#2339C2212yes—
332#2339C2212yes—
333#2337C2212yes—
334#2337C2212yes—
335#2337C2212yes—
336#2337C2212yes—
337#2333C2211yescharacteristic
338#2333C2211yescharacteristic
339#2333C2211yescharacteristic
340#2333C2211yescharacteristic
341#2331C2212yes—
342#2331C2212yes—
343#2331C2212yes—
344#2329C2212yes—
345#2329C2212yes—
346#2329C2212yes—
347#2329C2212yes—
348#2329C2212yes—
349#2329C2212yes—
350#2328C2212yes—
351#2326C2212yes—
352#2326C2212yes—
353#2325C2212yes—
354#2325C2212yes—
355#2324C2212yes—
356#2324C2212yes—
357#2324C2212yes—
358#2324C2212yes—
359#2318C2212yes—
360#2318C2212yes—
361#2318C2212yes—
362#2318C2212yes—
363C4×C22⋊Q8C2212yes—
364C4×C22⋊Q8C2212yes—
365#2297C2212yes—
366#2297C2212yes—
367C2×#391C2212yes—
368#2293C2212yes—
369#2290C2212yes—
370#2290C2212yes—
371C2×#387C2212yes—
372#2285C2211yescharacteristic
373#2283C2211yescharacteristic
374#2283C2211yescharacteristic
375#2283C2211yescharacteristic
376C2×#383C2211yescharacteristic
377C42×D4C2212yes—
378C4×#117C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#532Q8116yescomplemented
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2311yescharacteristic
391C2×#127C2311yescharacteristic
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#124C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C42C2312yes—
445C22×C42C2312yes—
446C22×C42C2311yescharacteristic
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#399C2312yes—
484#399C2312yes—
485#399C2312yes—
486#399C2312yes—
487#399C2312yes—
488#399C2312yes—
489#399C2312yes—
490#399C2312yes—
491#399C2312yes—
492#399C2312yes—
493#399C2312yes—
494#399C2312yes—
495#398C2312yes—
496#398C2312yes—
497#398C2312yes—
498#398C2312yes—
499#398C2312yes—
500#398C2312yes—
501#398C2312yes—
502#398C2312yes—
503#398C2312yes—
504#398C2312yes—
505#398C2312yes—
506#398C2312yes—
507#398C2312yes—
508#398C2312yes—
509#398C2312yes—
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
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#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2312yes—
558#396C2312yes—
559#396C2312yes—
560#396C2312yes—
561#396C2312yes—
562#396C2312yes—
563#396C2312yes—
564#396C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#395C2312yes—
580#395C2312yes—
581#395C2312yes—
582#395C2312yes—
583#395C2312yes—
584#395C2312yes—
585#395C2312yes—
586#395C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#393C2312yes—
616#393C2312yes—
617#393C2312yes—
618#393C2312yes—
619#393C2312yes—
620#393C2312yes—
621#393C2312yes—
622#393C2312yes—
623#393C2312yes—
624#393C2312yes—
625#393C2312yes—
626#393C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
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#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
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#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
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#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
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#386C2312yes—
872#386C2312yes—
873#386C2312yes—
874#386C2312yes—
875#386C2312yes—
876#386C2312yes—
877#386C2312yes—
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#385C2312yes—
908#385C2312yes—
909#385C2312yes—
910#385C2312yes—
911#385C2312yes—
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#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#384C2312yes—
968#384C2312yes—
969#384C2312yes—
970#383C2312yes—
971#383C2312yes—
972#383C2311yescharacteristic
973#383C2311yescharacteristic
974#383C2312yes—
975#383C2311yescharacteristic
976#383C2311yescharacteristic
977#383C2311yescharacteristic
978#383C2312yes—
979#383C2311yescharacteristic
980#382C2312yes—
981#382C2312yes—
982#382C2312yes—
983#382C2312yes—
984#382C2312yes—
985#382C2312yes—
986#382C2312yes—
987#382C2312yes—
988#382C2311yescharacteristic
989#382C2311yescharacteristic
990#382C2311yescharacteristic
991#382C2311yescharacteristic
992#382C2312yes—
993#382C2311yescharacteristic
994#382C2311yescharacteristic
995#381C2312yes—
996#381C2312yes—
997#381C2312yes—
998#381C2312yes—
999#381C2311yescharacteristic
1000#381C2311yescharacteristic
1001#381C2312yes—
1002#381C2311yescharacteristic
1003#381C2311yescharacteristic
1004#380C2312yes—
1005#380C2312yes—
1006#380C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2311yescharacteristic
1022#380C2311yescharacteristic
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2311yescharacteristic
1031#380C2311yescharacteristic
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2311yescharacteristic
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2311yescharacteristic
1049C4×C4⋊C4C2311yescharacteristic
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2311yescharacteristic
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C22⋊C4C2311yescharacteristic
1057C4×C22⋊C4C2311yescharacteristic
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2311yescharacteristic
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2311yescharacteristic
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2311yescharacteristic
1079C4×C22⋊C4C2311yescharacteristic
1080#376C2311yescharacteristic
1081#376C2311yescharacteristic
1082#376C2312yes—
1083#376C2312yes—
1084#376C2312yes—
1085C2×#95C2312yes—
1086C2×#95C2312yes—
1087C2×#95C2312yes—
1088C2×#95C2312yes—
1089C2×#95C2311yescharacteristic
1090C2×#95C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2311yescharacteristic
1096C2×#95C2312yes—
1097C43C2311yescharacteristic
1098C43C2311yescharacteristic
1099C2×#41—82no—
1100C2×#41—82no—
1101C2×#41C2×Q8116yescomplemented
1102C22×Q8—44no—
1103C22×Q8—82no—
1104C22×Q8—82no—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C4⋊Q8—44no—
1142C4⋊Q8—44no—
1143C4⋊Q8—82no—
1144C4⋊Q8—82no—
1145C4⋊Q8—82no—
1146C4⋊Q8—82no—
1147C4⋊Q8—82no—
1148C4⋊Q8—82no—
1149C4⋊Q8C2×Q818yescomplemented
1150#127C2×Q818yes—
1151#125—82no—
1152#125—82no—
1153#124C2×Q8116yescomplemented
1154C22⋊Q8—44no—
1155C22⋊Q8—44no—
1156C22⋊Q8—44no—
1157C22⋊Q8—44no—
1158C22⋊Q8—44no—
1159C22⋊Q8—44no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—82no—
1163C22⋊Q8—82no—
1164C22⋊Q8—82no—
1165C22⋊Q8—82no—
1166C22⋊Q8—82no—
1167C22⋊Q8—82no—
1168C22⋊Q8—82no—
1169C22⋊Q8—82no—
1170C22⋊Q8—82no—
1171C22⋊Q8—82no—
1172C22⋊Q8—82no—
1173C22⋊Q8—82no—
1174C22⋊Q8—82no—
1175C22⋊Q8—82no—
1176#121C2×Q818yes—
1177#121C2×Q8116yescomplemented
1178#121C2×Q818yescomplemented
1179C4×Q8—82no—
1180C4×Q8—82no—
1181C4×Q8—82no—
1182C4×Q8—82no—
1183C4×D4—44no—
1184C4×D4—44no—
1185C4×D4—82no—
1186C4×D4—82no—
1187C4×D4—82no—
1188C4×D4—82no—
1189C4×D4—82no—
1190C4×D4—82no—
1191C4×D4—82no—
1192C4×D4—82no—
1193C4×D4C2×Q818yes—
1194C4×D4C2×Q818yescomplemented
1195C4×D4C2×Q8116yescomplemented
1196#117—44no—
1197#117—82no—
1198#117—82no—
1199#117—82no—
1200C2×C4⋊C4—44no—
1201C2×C4⋊C4—82no—
1202C2×C4⋊C4—82no—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
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×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊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⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2411yescharacteristic
1325C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2411yescharacteristic
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C42—82no—
1351C2×C42—82no—
1352C2×C42C2×Q818yescomplemented
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2411yescharacteristic
1374C2×C42C2411yescharacteristic
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2411yescharacteristic
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2411yescharacteristic
1382C2×C42C2411yescharacteristic
1383C2×C42C2411yescharacteristic
1384C2×C42C2411yescharacteristic
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2411yescharacteristic
1389#95C2411yescharacteristic
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2411yescharacteristic
1411#95C2411yescharacteristic
1412#95C2411yescharacteristic
1413#95C2411yescharacteristic
1414#95C2412yes—
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#95C2411yescharacteristic
1439#95C2411yescharacteristic
1440#95C2412yes—
1441#95C2412yes—
1442#95C2411yescharacteristic
1443#95C2411yescharacteristic
1444#95C2412yes—
1445#95C2411yescharacteristic
1446#95C2411yescharacteristic
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2411yescharacteristic
1458#95C2411yescharacteristic
1459#95C2412yes—
1460#95C2411yescharacteristic
1461#95C2412yes—
1462#95C2411yescharacteristic
1463#95C2412yes—
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#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—
1513C24C2511yescharacteristic
1514C24C2512yes—
1515C24C2512yes—
1516#41—816no—
1517C2×Q8—24no—
1518C2×Q8—24no—
1519C2×Q8—24no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—42no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—816no—
1550C2×Q8C22×Q818yes—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—41no—
1554C2×D4—41no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C2×D4—41no—
1563C2×D4C22×Q814yes—
1564C2×D4C22×Q818yes—
1565C2×D4C22×Q814yes—
1566C2×D4C22×Q818yes—
1567C2×D4C22×Q818yes—
1568C2×D4C22×Q818yes—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4C22×Q814yes—
1620C22×C4C22×Q814yes—
1621C22×C4C22×Q814yes—
1622C22×C4C22×Q818yes—
1623C22×C4C22×Q818yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2511yescharacteristic
1648C22×C4C2511yescharacteristic
1649C22×C4C2511yescharacteristic
1650C22×C4C2511yescharacteristic
1651C22×C4C2511yescharacteristic
1652C22×C4C2511yescharacteristic
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
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—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4C22×Q814yes—
1749C4⋊C4C22×Q814yes—
1750C4⋊C4C22×Q818yes—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—41no—
1757C22⋊C4—41no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
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—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
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—41no—
1796C22⋊C4—41no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4C22×Q818yes—
1800C22⋊C4C22×Q818yes—
1801C22⋊C4C22×Q818yes—
1802C22⋊C4C22×Q818yes—
1803C42—24no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—41no—
1812C42—41no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—41no—
1830C42—41no—
1831C42C22×Q814yes—
1832C42C22×Q814yes—
1833C42C22×Q814yes—
1834C42C22×Q814yes—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—21no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—21no—
1850C23—22no—
1851C23C23×Q814yes—
1852C23C23×Q814yes—
1853C23C23×Q812yes—
1854C23C2611yescharacteristic
1855Q8—48no—
1856Q8—84no—
1857Q8—84no—
1858Q8—84no—
1859Q8—84no—
1860Q8—84no—
1861Q8—84no—
1862Q8—162no—
1863Q8—162no—
1864Q8—162no—
1865Q8—162no—
1866D4—48no—
1867D4—44no—
1868D4—44no—
1869D4—48no—
1870D4—48no—
1871D4—48no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
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—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
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—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
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—44no—
1956C2×C4—44no—
1957C2×C4—48no—
1958C2×C4—48no—
1959C2×C4—44no—
1960C2×C4—48no—
1961C2×C4—84no—
1962C2×C4—84no—
1963C2×C4—84no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—84no—
1967C2×C4—84no—
1968C2×C4—162no—
1969C2×C4—162no—
1970C2×C4—162no—
1971C2×C4—162no—
1972C2×C4—162no—
1973C2×C4—162no—
1974C2×C4C23×Q812yes—
1975C2×C4C23×Q812yes—
1976C2×C4C23×Q812yes—
1977C2×C4C23×Q812yes—
1978C2×C4C23×Q812yes—
1979C2×C4C23×Q812yes—
1980C2×C4C23×Q814yes—
1981C2×C4C23×Q814yes—
1982C2×C4#58514yes—
1983C22—22no—
1984C22—24no—
1985C22—24no—
1986C22—22no—
1987C22—24no—
1988C22—24no—
1989C22—22no—
1990C22—24no—
1991C22—24no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22C24×Q811yescharacteristic
2003C22C2×#58512yes—
2004C22H(7,𝔽2)12yes—
2005C22H(7,𝔽2)11yescharacteristic
2006C222−1+611yescharacteristic
2007C4—22no—
2008C4—22no—
2009C4—22no—
2010C4—22no—
2011C4—24no—
2012C4—24no—
2013C4—22no—
2014C4—22no—
2015C4—24no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C2—42no—
2040C2—44no—
2041C2—44no—
2042C2#6281311yescharacteristic
2043C2#6284311yescharacteristic
2044C2#6285411yescharacteristic
2045C2#6286712yes—
2046C2#6288212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#532C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #52040C2semidirect
2. #52037C2semidirect
3. #52036C2semidirect
4. #52035C2semidirect
5. #51787C2semidirect
6. #51786C2semidirect
7. #51597C2semidirect
8. #51596C2semidirect
9. #47773C2semidirect
10. #47772C2semidirect
11. #47726C2semidirect
12. #47725C2semidirect
13. #47019C2semidirect
14. #46844C2semidirect
15. #46443C2semidirect
16. #46435C2semidirect
17. #39984C2semidirect
18. #39981C2semidirect
19. #39967C2semidirect
20. #39964C2semidirect
21. #38448C2semidirect
22. #38444C2semidirect
23. #38442C2semidirect
24. #38440C2semidirect
25. #37566C2semidirect
26. #37562C2semidirect
27. #37138C2semidirect
28. #37136C2semidirect
29. #35192C2semidirect
30. #35146C2semidirect
31. #35018C2semidirect
32. #35016C2semidirect
381. #532Q8semidirect
1101. C2×#41C2×Q8semidirect
1149. C4⋊Q8C2×Q8semidirect
1153. #124C2×Q8semidirect
1177. #121C2×Q8semidirect
1178. #121C2×Q8semidirect
1194. C4×D4C2×Q8semidirect
1195. C4×D4C2×Q8semidirect
1352. C2×C42C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#520402
#520372
#520362
#520352
#517872
#517862
#515972
#515962
#477732
#477722
#477262
#477252
#470192
#468442
#464432
#464352
#399842
#399812
#399672
#399642
#384482
#384442
#384422
#384402
#375662
#375622
#371382
#371362
#351922
#351462
#350182
#350162
#343932
#343882
#340862