Finite Group Databasebeta

← #7696967

Subgroups — #7696967

Order 512.

4829 conjugacy classes of subgroups.

The subgroup lattice has 2135 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60008C212yesmaximal, complemented
2#59738C212yesmaximal, complemented
3#59466C211yesmaximal, characteristic, complemented
4#59453C212yesmaximal, complemented
5#59163C212yesmaximal, complemented
6#52297C211yesmaximal, characteristic, complemented
7#52249C212yesmaximal, complemented
8#44717C211yesmaximal, characteristic, complemented
9#44711C212yesmaximal, complemented
10#44325C211yesmaximal, characteristic, complemented
11#44224C212yesmaximal, complemented
12#44206C212yesmaximal, complemented
13#44072C212yesmaximal, complemented
14#44027C212yesmaximal, complemented
15#44009C212yesmaximal, complemented
16#43455C212yesmaximal, complemented
17#43277C212yesmaximal, complemented
18#40350C212yesmaximal, complemented
19#40287C212yesmaximal, complemented
20#40103C212yesmaximal, complemented
21#40087C212yesmaximal, complemented
22#39108C212yesmaximal, complemented
23#38812C212yesmaximal, complemented
24#38415C212yesmaximal, complemented
25#38171C212yesmaximal, complemented
26#37736C212yesmaximal, complemented
27#36570C212yesmaximal, complemented
28#36498C211yesmaximal, characteristic, complemented
29#35960C211yesmaximal, characteristic, complemented
30#35913C211yesmaximal, characteristic, complemented
31#35908C212yesmaximal, complemented
32#35698C212yesmaximal, complemented
33#34305C212yesmaximal, complemented
34#34282C212yesmaximal, complemented
35#34241C212yesmaximal, complemented
36C2×#553C2212yes—
37C2×#539C2212yes—
38C2×#529C2212yes—
39#2864C2211yescharacteristic
40#2857C2212yes—
41#2854C2212yes—
42#2851C2212yes—
43#2851C2212yes—
44#2803C2212yes—
45#2800C2212yes—
46#2795C2212yes—
47#2795C2211yescharacteristic
48#2793C2212yes—
49#2793C2212yes—
50#2792C2211yescharacteristic
51#2791C2212yes—
52#2790C2212yes—
53#2784C2211yescharacteristic
54#2777C2212yes—
55#2775C2212yes—
56#2774C2212yes—
57#2774C2212yes—
58#2773C2212yes—
59#2773C2212yes—
60#2773C2212yes—
61#2772C2212yes—
62#2768C2212yes—
63#2767C2212yes—
64#2761C2212yes—
65#2756C2212yes—
66#2756C2212yes—
67#2755C2212yes—
68#2753C2212yes—
69#2749C2212yes—
70#2748C2212yes—
71#2748C2211yescharacteristic
72#2748C2211yescharacteristic
73#2743C2212yes—
74#2741C2212yes—
75#2741C2212yes—
76#2740C2212yes—
77#2740C2212yes—
78#2739C2212yes—
79#2738C2212yes—
80#2737C2212yes—
81#2722C2211yescharacteristic
82#2721C2212yes—
83#2720C2212yes—
84#2720C2212yes—
85#2719C2212yes—
86#2714C2212yes—
87#2713C2212yes—
88#2712C2211yescharacteristic
89#2707C2212yes—
90#2707C2212yes—
91#2707C2212yes—
92#2707C2212yes—
93#2706C2212yes—
94#2706C2212yes—
95#2706C2212yes—
96#2706C2212yes—
97#2705C2212yes—
98#2705C2212yes—
99#2703C2212yes—
100#2699C2211yescharacteristic
101#2696C2212yes—
102#2693C2211yescharacteristic
103#2693C2212yes—
104#2688C2212yes—
105#2676C2212yes—
106#2675C2211yescharacteristic
107#2674C2212yes—
108#2673C2212yes—
109#2672C2212yes—
110#2671C2212yes—
111#2667C2212yes—
112#2667C2211yescharacteristic
113#2666C2212yes—
114#2665C2211yescharacteristic
115#2664C2212yes—
116#2654C2212yes—
117#2650C2212yes—
118#2649C2212yes—
119#2649C2212yes—
120#2636C2212yes—
121#2612C2212yes—
122#2611C2212yes—
123#2609C2212yes—
124#2604C2212yes—
125#2603C2212yes—
126#2602C2212yes—
127#2601C2212yes—
128#2600C2212yes—
129#2600C2212yes—
130#2598C2212yes—
131#2598C2212yes—
132#2597C2212yes—
133#2597C2212yes—
134#2596C2212yes—
135#2595C2212yes—
136#2595C2212yes—
137#2590C2212yes—
138#2589C2212yes—
139#2587C2212yes—
140#2587C2212yes—
141#2587C2212yes—
142#2587C2212yes—
143#2586C2212yes—
144#2585C2212yes—
145#2585C2212yes—
146#2579C2211yescharacteristic
147#2579C2211yescharacteristic
148#2579C2212yes—
149#2579C2212yes—
150#2578C2212yes—
151#2577C2212yes—
152#2577C2212yes—
153#2575C2212yes—
154#2575C2212yes—
155#2574C2212yes—
156#2574C2212yes—
157#2574C2212yes—
158#2573C2212yes—
159#2573C2212yes—
160#2569C2212yes—
161#2566C2212yes—
162#2566C2212yes—
163#2566C2212yes—
164#2564C2212yes—
165#2560C2212yes—
166#2559C2212yes—
167#2558C2212yes—
168#2557C2212yes—
169#2556C2212yes—
170#2556C2212yes—
171#2555C2212yes—
172#2553C2212yes—
173#2552C2212yes—
174#2550C2212yes—
175#2549C2212yes—
176#2545C2212yes—
177#2543C2212yes—
178#2540C2212yes—
179#2535C2211yescharacteristic
180#2535C2211yescharacteristic
181#2533C2212yes—
182#2531C2212yes—
183#2530C2212yes—
184#2525C2212yes—
185#2524C2212yes—
186#2524C2212yes—
187#2524C2212yes—
188#2523C2211yescharacteristic
189#2522C2212yes—
190#2522C2212yes—
191#2522C2212yes—
192#2519C2212yes—
193#2519C2212yes—
194#2518C2212yes—
195#2517C2211yescharacteristic
196#2516C2212yes—
197#2508C2212yes—
198#2507C2212yes—
199#2506C2212yes—
200#2505C2212yes—
201#2501C2212yes—
202#2498C2212yes—
203#2497C2212yes—
204#2484C2211yescharacteristic
205#2479C2212yes—
206#2477C2212yes—
207#2476C2212yes—
208#2475C2212yes—
209#2475C2212yes—
210#2474C2212yes—
211#2471C2212yes—
212#2470C2212yes—
213#2470C2212yes—
214#2469C2212yes—
215#2467C2212yes—
216#2467C2212yes—
217#2465C2212yes—
218#2464C2212yes—
219#2464C2212yes—
220#2464C2212yes—
221#2463C2211yescharacteristic
222#2462C2212yes—
223#2461C2212yes—
224#2461C2212yes—
225#2461C2212yes—
226#2460C2212yes—
227#2460C2212yes—
228#2459C2212yes—
229#2457C2212yes—
230#2457C2212yes—
231#2457C2212yes—
232#2456C2212yes—
233#2456C2212yes—
234#2456C2212yes—
235#2456C2212yes—
236#2456C2212yes—
237#2456C2212yes—
238#2456C2212yes—
239#2455C2211yescharacteristic
240#2455C2212yes—
241#2454C2212yes—
242#2454C2212yes—
243#2454C2212yes—
244#2454C2212yes—
245#2454C2212yes—
246#2452C2212yes—
247#2450C2212yes—
248#2450C2212yes—
249#2450C2212yes—
250#2450C2212yes—
251#2449C2212yes—
252#2449C2212yes—
253#2449C2212yes—
254#2449C2212yes—
255#2447C2212yes—
256#2443C2212yes—
257#2429C2212yes—
258#2428C2212yes—
259#2427C2212yes—
260#2426C2212yes—
261#2425C2212yes—
262#2425C2212yes—
263#2425C2212yes—
264#2423C2212yes—
265#2419C2212yes—
266#2417C2212yes—
267#2413C2212yes—
268#2407C2212yes—
269#2406C2211yescharacteristic
270#2402C2212yes—
271#2397C2212yes—
272#2395C2212yes—
273#2395C2212yes—
274#2395C2211yescharacteristic
275#2392C2212yes—
276#2392C2212yes—
277#2392C2212yes—
278#2388C2211yescharacteristic
279#2388C2212yes—
280#2374C2212yes—
281#2373C2212yes—
282#2373C2212yes—
283#2373C2212yes—
284#2373C2212yes—
285#2373C2212yes—
286#2373C2212yes—
287#2371C2212yes—
288#2370C2212yes—
289#2370C2212yes—
290#2368C2212yes—
291#2368C2212yes—
292#2368C2212yes—
293#2368C2212yes—
294#2366C2211yescharacteristic
295#2366C2211yescharacteristic
296#2364C2212yes—
297#2364C2212yes—
298#2364C2212yes—
299#2364C2212yes—
300#2364C2212yes—
301#2364C2212yes—
302#2364C2212yes—
303#2362C2212yes—
304#2361C2212yes—
305#2361C2212yes—
306#2361C2212yes—
307#2360C2212yes—
308#2359C2212yes—
309#2359C2212yes—
310#2359C2212yes—
311#2359C2212yes—
312#2359C2212yes—
313#2359C2212yes—
314#2359C2212yes—
315#2357C2211yescharacteristic
316#2355C2212yes—
317#2355C2212yes—
318#2354C2212yes—
319#2352C2212yes—
320#2352C2212yes—
321#2352C2212yes—
322#2352C2212yes—
323#2349C2212yes—
324#2349C2212yes—
325#2349C2212yes—
326#2349C2211yescharacteristic
327D4×C4⋊C4C2212yes—
328D4×C4⋊C4C2212yes—
329D4×C4⋊C4C2212yes—
330#2347C2211yescharacteristic
331#2346C2212yes—
332#2345C2212yes—
333#2339C2211yescharacteristic
334#2337C2212yes—
335#2337C2212yes—
336#2336C2212yes—
337#2336C2212yes—
338#2336C2212yes—
339#2335C2212yes—
340#2335C2212yes—
341#2335C2212yes—
342#2334C2212yes—
343#2334C2212yes—
344#2334C2212yes—
345#2332C2212yes—
346#2330C2212yes—
347#2324C2212yes—
348#2318C2212yes—
349#2314C2212yes—
350#2314C2212yes—
351C4×#127C2211yescharacteristic
352C4×#125C2212yes—
353C4×#126C2212yes—
354C4×C22⋊Q8C2212yes—
355C4×#123C2212yes—
356C4×#123C2212yes—
357C4×#123C2212yes—
358C4×#123C2212yes—
359C4×#123C2212yes—
360C4×#121C2212yes—
361C4×#121C2212yes—
362C4×#121C2212yes—
363C4×#121C2212yes—
364C4×#121C2212yes—
365C4×#121C2212yes—
366C4×#121C2212yes—
367#2290C2212yes—
368#2290C2212yes—
369#2290C2212yes—
370#2290C2212yes—
371C2×#387C2212yes—
372#2283C2212yes—
373#2275C2212yes—
374#2274C2211yescharacteristic
375#2274C2212yes—
376#2274C2211yescharacteristic
377C42×D4C2211yescharacteristic
378C2×C4×C4⋊C4C2212yes—
379C22×#41C2311yescharacteristic
380#553—216no—
381#539—216no—
382C2×C4⋊Q8C2312yes—
383C2×#127C2311yescharacteristic
384#529—216no—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2312yes—
479C22×C42C2312yes—
480C22×C42C2312yes—
481C22×C42C2312yes—
482C22×C42C2312yes—
483#400C2312yes—
484#400C2311yescharacteristic
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2311yescharacteristic
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
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#398C2311yescharacteristic
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2311yescharacteristic
560#397C2311yescharacteristic
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2311yescharacteristic
565#397C2312yes—
566#397C2312yes—
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#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2311yescharacteristic
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2311yescharacteristic
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#393C2312yes—
625#393C2312yes—
626#393C2312yes—
627#393C2312yes—
628#393C2311yescharacteristic
629#392C2312yes—
630#392C2312yes—
631#392C2312yes—
632#392C2312yes—
633#392C2312yes—
634#392C2312yes—
635#392C2312yes—
636#392C2312yes—
637#392C2312yes—
638#392C2311yescharacteristic
639#392C2312yes—
640#392C2312yes—
641#392C2312yes—
642#392C2311yescharacteristic
643#392C2311yescharacteristic
644#392C2312yes—
645#391C2312yes—
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2311yescharacteristic
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2312yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
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#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
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#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#386C2312yes—
868#386C2312yes—
869#386C2312yes—
870#386C2312yes—
871#386C2312yes—
872#386C2312yes—
873#386C2312yes—
874#386C2311yescharacteristic
875#386C2312yes—
876#386C2312yes—
877#386C2311yescharacteristic
878#386C2311yescharacteristic
879#386C2311yescharacteristic
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#385C2311yescharacteristic
915#385C2312yes—
916#385C2311yescharacteristic
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#385C2311yescharacteristic
940#385C2311yescharacteristic
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#384C2311yescharacteristic
960#384C2312yes—
961#384C2312yes—
962#384C2312yes—
963#384C2312yes—
964#383C2312yes—
965#383C2312yes—
966#383C2312yes—
967#383C2312yes—
968#383C2312yes—
969#382C2312yes—
970#382C2312yes—
971#382C2312yes—
972#382C2312yes—
973#382C2311yescharacteristic
974#382C2312yes—
975#382C2312yes—
976#382C2311yescharacteristic
977#382C2312yes—
978#382C2312yes—
979#382C2312yes—
980#381C2311yescharacteristic
981#381C2312yes—
982#381C2312yes—
983#381C2312yes—
984#381C2311yescharacteristic
985#381C2312yes—
986#381C2312yes—
987#380C2312yes—
988#380C2312yes—
989#380C2312yes—
990#380C2312yes—
991#380C2312yes—
992#380C2312yes—
993#380C2312yes—
994#380C2312yes—
995#380C2312yes—
996#380C2312yes—
997#380C2312yes—
998#380C2312yes—
999#380C2311yescharacteristic
1000#380C2311yescharacteristic
1001#380C2312yes—
1002#380C2312yes—
1003#380C2312yes—
1004#380C2312yes—
1005#380C2312yes—
1006#380C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
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×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
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⋊C4C2311yescharacteristic
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2311yescharacteristic
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2311yescharacteristic
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089#376C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C43C2311yescharacteristic
1101C2×#41—42no—
1102C2×#41—82no—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C4⋊Q8—82no—
1146#127—24no—
1147#126—28no—
1148#126—28no—
1149#126—28no—
1150#126—82no—
1151#126#41116yescomplemented
1152#125—28no—
1153#125—28no—
1154#125—28no—
1155#125—28no—
1156#125—82no—
1157#125—82no—
1158#125—82no—
1159#124—28no—
1160#124—82no—
1161#124—82no—
1162#123—28no—
1163#123—28no—
1164#123—28no—
1165#123—28no—
1166#123—28no—
1167#123—28no—
1168#123—28no—
1169#123—28no—
1170#123—82no—
1171#123—82no—
1172#123—82no—
1173#123—82no—
1174#123—82no—
1175C22⋊Q8—28no—
1176C22⋊Q8—28no—
1177C22⋊Q8—28no—
1178C22⋊Q8—28no—
1179C22⋊Q8—82no—
1180C22⋊Q8—82no—
1181C22⋊Q8—82no—
1182C22⋊Q8—82no—
1183#121—28no—
1184#121—28no—
1185#121—28no—
1186#121—28no—
1187#121—28no—
1188#121—28no—
1189#121—28no—
1190#121—28no—
1191#121—82no—
1192#121—82no—
1193#121—82no—
1194C4×Q8—28no—
1195C4×Q8—82no—
1196C4×D4—28no—
1197C4×D4—28no—
1198C4×D4—28no—
1199C4×D4—28no—
1200C4×D4—28no—
1201C4×D4—28no—
1202C4×D4—28no—
1203C4×D4—28no—
1204C4×D4—28no—
1205C4×D4—42no—
1206C4×D4—44no—
1207C4×D4—42no—
1208C4×D4—42no—
1209C4×D4—44no—
1210C4×D4—82no—
1211C4×D4—82no—
1212C4×D4—82no—
1213C4×D4—82no—
1214C4×D4—82no—
1215C4×D4—82no—
1216C4×D4—82no—
1217C4×D4—82no—
1218C4×D4—82no—
1219C4×D4—82no—
1220C4×D4—82no—
1221C4×D4—82no—
1222C4×D4—82no—
1223C4×D4—82no—
1224C4×D4—82no—
1225C4×D4—82no—
1226C4×D4—82no—
1227#117—28no—
1228#117—28no—
1229#117—28no—
1230#117—42no—
1231#117—44no—
1232#117—82no—
1233#117—82no—
1234#117—82no—
1235C2×C4⋊C4—28no—
1236C2×C4⋊C4—28no—
1237C2×C4⋊C4—42no—
1238C2×C4⋊C4—44no—
1239C2×C4⋊C4—42no—
1240C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×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⋊C4C2412yes—
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⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2411yescharacteristic
1387C2×C22⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2411yescharacteristic
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2411yescharacteristic
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C42—28no—
1404C2×C42—82no—
1405C2×C42—82no—
1406C2×C42—82no—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2411yescharacteristic
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2411yescharacteristic
1443C2×C42C2412yes—
1444#95C2411yescharacteristic
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#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2411yescharacteristic
1484#95C2412yes—
1485#95C2412yes—
1486#95C2411yescharacteristic
1487#95C2412yes—
1488#95C2412yes—
1489#95C2411yescharacteristic
1490#95C2411yescharacteristic
1491#95C2412yes—
1492#95C2411yescharacteristic
1493#95C2412yes—
1494#95C2412yes—
1495#95C2411yescharacteristic
1496#95C2412yes—
1497#95C2412yes—
1498#95C2411yescharacteristic
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#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2411yescharacteristic
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2411yescharacteristic
1544#95C2412yes—
1545#95C2412yes—
1546C24C2511yescharacteristic
1547C24C2512yes—
1548C24C2511yescharacteristic
1549C24C2512yes—
1550C24C2512yes—
1551#41—88no—
1552C2×Q8—24no—
1553C2×Q8—24no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—24no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—22no—
1579C2×D4—41no—
1580C2×D4—42no—
1581C2×D4—41no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—41no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—41no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D42−1+414yes—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—22no—
1627C22×C4—24no—
1628C22×C4—42no—
1629C22×C4—41no—
1630C22×C4—42no—
1631C22×C4—41no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2511yescharacteristic
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2511yescharacteristic
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2511yescharacteristic
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2511yescharacteristic
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
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—41no—
1738C4⋊C4—41no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4C2×#4118yes—
1780C4⋊C4C2×#4118yes—
1781C4⋊C4C2×#4118yes—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—41no—
1820C22⋊C4—41no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—41no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—41no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—41no—
1857C22⋊C4—41no—
1858C22⋊C4C2×#4118yes—
1859C22⋊C4C2×#4118yes—
1860C22⋊C4C2×#4118yes—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—24no—
1867C42—24no—
1868C42—24no—
1869C42—22no—
1870C42—24no—
1871C42—22no—
1872C42—41no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42C2×#4118yes—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—21no—
1916C23—21no—
1917C23—21no—
1918C23—22no—
1919C23—21no—
1920C23—21no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—21no—
1925C23—22no—
1926C23—22no—
1927C23C22×#4114yes—
1928C23C2×2−1+414yes—
1929C23C2611yescharacteristic
1930Q8—84no—
1931Q8—84no—
1932Q8—82no—
1933D4—44no—
1934D4—48no—
1935D4—48no—
1936D4—48no—
1937D4—48no—
1938D4—48no—
1939D4—48no—
1940D4—44no—
1941D4—48no—
1942D4—44no—
1943D4—84no—
1944D4—82no—
1945D4—84no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—21no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
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—22no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—44no—
2028C2×C4—48no—
2029C2×C4—44no—
2030C2×C4—48no—
2031C2×C4—48no—
2032C2×C4—84no—
2033C2×C4—82no—
2034C2×C4—84no—
2035C2×C4—84no—
2036C2×C4—84no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—84no—
2042C2×C4—84no—
2043C2×C4—82no—
2044C2×C4—84no—
2045C2×C4—84no—
2046C2×C4—84no—
2047C2×C4—161no—
2048C2×C4—161no—
2049C2×C4—162no—
2050C2×C4C22×#4114yes—
2051C2×C4C22×#4114yes—
2052C2×C4C22×#4114yes—
2053C2×C4C22×#4114yes—
2054C2×C4C22×#4114yes—
2055C2×C4C22×#4114yes—
2056C2×C4C2×2−1+412yes—
2057C2×C4#58512yes—
2058C22—24no—
2059C22—24no—
2060C22—24no—
2061C22—24no—
2062C22—24no—
2063C22—24no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—41no—
2077C22—41no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—41no—
2085C22—41no—
2086C22—41no—
2087C22—41no—
2088C22—42no—
2089C22C23×#4112yes—
2090C22C22×2−1+411yescharacteristic
2091C22C2×#58511yescharacteristic
2092C22H(7,𝔽2)12yes—
2093C22H(7,𝔽2)11yescharacteristic
2094C4—24no—
2095C4—24no—
2096C4—22no—
2097C4—24no—
2098C4—24no—
2099C4—22no—
2100C4—24no—
2101C4—24no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—41no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—41no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—41no—
2124C2—44no—
2125C2—44no—
2126C2—81no—
2127C2—81no—
2128C2—82no—
2129C2#41211yescharacteristic
2130C2#6285812yes—
2131C2#6290211yescharacteristic
2132C2#6300012yes—
2133C2#6304211yescharacteristic
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. #60008C2semidirect
2. #59738C2semidirect
3. #59466C2semidirect
4. #59453C2semidirect
5. #59163C2semidirect
6. #52297C2semidirect
7. #52249C2semidirect
8. #44717C2semidirect
9. #44711C2semidirect
10. #44325C2semidirect
11. #44224C2semidirect
12. #44206C2semidirect
13. #44072C2semidirect
14. #44027C2semidirect
15. #44009C2semidirect
16. #43455C2semidirect
17. #43277C2semidirect
18. #40350C2semidirect
19. #40287C2semidirect
20. #40103C2semidirect
21. #40087C2semidirect
22. #39108C2semidirect
23. #38812C2semidirect
24. #38415C2semidirect
25. #38171C2semidirect
26. #37736C2semidirect
27. #36570C2semidirect
28. #36498C2semidirect
29. #35960C2semidirect
30. #35913C2semidirect
31. #35908C2semidirect
32. #35698C2semidirect
33. #34305C2semidirect
34. #34282C2semidirect
35. #34241C2semidirect
1151. #126#41semidirect

Maximal subgroups

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

subgroupindex
#600082
#597382
#594662
#594532
#591632
#522972
#522492
#447172
#447112
#443252
#442242
#442062
#440722
#440272
#440092
#434552
#432772
#403502
#402872
#401032
#400872
#391082
#388122
#384152
#381712
#377362
#365702
#364982
#359602
#359132
#359082
#356982
#343052
#342822
#342412