Finite Group Databasebeta

← #7658889

Subgroups — #7658889

Order 512.

4334 conjugacy classes of subgroups.

The subgroup lattice has 2177 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42406C212yesmaximal, complemented
2#42358C212yesmaximal, complemented
3#42325C212yesmaximal, complemented
4#42192C212yesmaximal, complemented
5#42064C212yesmaximal, complemented
6#42063C212yesmaximal, complemented
7#42016C212yesmaximal, complemented
8#41973C212yesmaximal, complemented
9#41748C212yesmaximal, complemented
10#41737C212yesmaximal, complemented
11#41113C212yesmaximal, complemented
12#41096C212yesmaximal, complemented
13#40973C212yesmaximal, complemented
14#40968C212yesmaximal, complemented
15#40958C212yesmaximal, complemented
16#40953C212yesmaximal, complemented
17#40583C212yesmaximal, complemented
18#40581C212yesmaximal, complemented
19#37612C211yesmaximal, characteristic, complemented
20#37610C211yesmaximal, characteristic, complemented
21#37608C211yesmaximal, characteristic, complemented
22#37603C211yesmaximal, characteristic, complemented
23#37600C211yesmaximal, characteristic, complemented
24#37600C211yesmaximal, characteristic, complemented
25#37599C211yesmaximal, characteristic, complemented
26#37561C211yesmaximal, characteristic, complemented
27#37541C211yesmaximal, characteristic, complemented
28#36695C211yesmaximal, characteristic, complemented
29#36694C211yesmaximal, characteristic, complemented
30#36684C211yesmaximal, characteristic, complemented
31#36081C212yesmaximal, complemented
32#35946C212yesmaximal, complemented
33#35925C212yesmaximal, complemented
34#35767C212yesmaximal, complemented
35#35766C212yesmaximal, complemented
36#35685C212yesmaximal, complemented
37#34242C211yesmaximal, characteristic, complemented
38#34229C211yesmaximal, characteristic, complemented
39#34227C211yesmaximal, characteristic, complemented
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2211yescharacteristic
43#2845C2211yescharacteristic
44#2845C2211yescharacteristic
45#2844C2211yescharacteristic
46#2844C2211yescharacteristic
47#2837C2212yes—
48#2837C2212yes—
49#2832C2212yes—
50#2832C2212yes—
51#2832C2212yes—
52#2831C2212yes—
53#2831C2212yes—
54#2829C2212yes—
55#2829C2212yes—
56#2828C2212yes—
57#2828C2212yes—
58#2828C2212yes—
59#2823C2212yes—
60#2823C2212yes—
61#2822C2211yescharacteristic
62#2822C2211yescharacteristic
63#2822C2211yescharacteristic
64#2820C2211yescharacteristic
65#2820C2211yescharacteristic
66#2820C2211yescharacteristic
67#2820C2211yescharacteristic
68#2820C2211yescharacteristic
69#2820C2211yescharacteristic
70#2819C2211yescharacteristic
71#2819C2211yescharacteristic
72#2819C2211yescharacteristic
73#2814C2212yes—
74#2814C2212yes—
75#2813C2212yes—
76#2813C2212yes—
77#2803C2212yes—
78#2802C2212yes—
79#2801C2212yes—
80#2800C2212yes—
81#2800C2212yes—
82#2795C2212yes—
83#2795C2212yes—
84#2793C2212yes—
85#2791C2212yes—
86#2788C2212yes—
87#2786C2212yes—
88#2786C2212yes—
89#2785C2212yes—
90#2783C2212yes—
91#2782C2212yes—
92#2781C2212yes—
93#2781C2212yes—
94#2779C2212yes—
95#2778C2212yes—
96#2777C2212yes—
97#2775C2212yes—
98#2772C2212yes—
99#2772C2212yes—
100#2770C2212yes—
101#2770C2212yes—
102#2767C2212yes—
103#2757C2212yes—
104#2756C2212yes—
105#2756C2212yes—
106#2756C2212yes—
107#2753C2212yes—
108#2753C2212yes—
109#2747C2212yes—
110#2730C2212yes—
111#2729C2212yes—
112#2725C2212yes—
113#2723C2212yes—
114#2721C2212yes—
115#2719C2212yes—
116#2718C2212yes—
117#2716C2212yes—
118#2715C2212yes—
119#2714C2212yes—
120#2711C2212yes—
121#2707C2212yes—
122#2703C2212yes—
123#2702C2212yes—
124#2681C2212yes—
125#2667C2212yes—
126#2667C2212yes—
127#2666C2212yes—
128#2666C2212yes—
129#2666C2212yes—
130#2666C2212yes—
131#2666C2212yes—
132#2666C2212yes—
133#2666C2212yes—
134#2665C2212yes—
135#2664C2212yes—
136#2664C2212yes—
137#2663C2212yes—
138#2663C2212yes—
139#2662C2212yes—
140#2661C2212yes—
141#2660C2212yes—
142#2659C2212yes—
143#2655C2212yes—
144#2655C2212yes—
145#2655C2212yes—
146#2654C2212yes—
147#2654C2212yes—
148#2654C2212yes—
149#2654C2212yes—
150#2652C2212yes—
151#2652C2212yes—
152#2651C2212yes—
153#2651C2212yes—
154#2651C2212yes—
155#2651C2212yes—
156#2650C2212yes—
157#2650C2212yes—
158#2650C2212yes—
159#2649C2212yes—
160#2648C2212yes—
161#2647C2212yes—
162#2646C2212yes—
163#2638C2212yes—
164#2638C2212yes—
165#2637C2212yes—
166#2637C2212yes—
167#2637C2212yes—
168#2637C2212yes—
169#2636C2212yes—
170#2636C2212yes—
171#2635C2212yes—
172#2634C2212yes—
173#2630C2212yes—
174#2630C2212yes—
175#2630C2212yes—
176#2630C2212yes—
177#2618C2212yes—
178#2618C2212yes—
179#2609C2212yes—
180#2609C2212yes—
181#2609C2212yes—
182#2608C2212yes—
183#2606C2212yes—
184#2604C2212yes—
185#2603C2212yes—
186#2602C2212yes—
187#2601C2212yes—
188#2601C2212yes—
189#2601C2212yes—
190#2600C2212yes—
191#2600C2212yes—
192#2599C2212yes—
193#2598C2212yes—
194#2598C2212yes—
195#2593C2212yes—
196#2588C2212yes—
197#2587C2212yes—
198#2586C2212yes—
199#2579C2212yes—
200#2578C2212yes—
201#2578C2212yes—
202#2578C2212yes—
203#2576C2212yes—
204#2575C2212yes—
205#2574C2212yes—
206#2574C2212yes—
207#2574C2212yes—
208#2574C2212yes—
209#2573C2212yes—
210#2573C2212yes—
211#2573C2212yes—
212#2570C2212yes—
213#2570C2212yes—
214#2566C2212yes—
215#2564C2212yes—
216#2564C2212yes—
217#2560C2212yes—
218#2556C2212yes—
219#2556C2212yes—
220#2554C2212yes—
221#2554C2212yes—
222#2553C2212yes—
223#2553C2212yes—
224#2553C2212yes—
225#2550C2212yes—
226#2543C2212yes—
227#2543C2212yes—
228#2533C2212yes—
229#2532C2212yes—
230#2531C2212yes—
231#2530C2212yes—
232#2530C2212yes—
233#2528C2212yes—
234#2525C2212yes—
235#2525C2212yes—
236#2525C2212yes—
237#2525C2212yes—
238#2524C2212yes—
239#2524C2212yes—
240#2524C2212yes—
241#2524C2212yes—
242#2523C2212yes—
243#2523C2212yes—
244#2522C2212yes—
245#2522C2212yes—
246#2522C2212yes—
247#2521C2212yes—
248#2520C2212yes—
249#2520C2212yes—
250#2520C2212yes—
251#2519C2212yes—
252#2519C2212yes—
253#2518C2212yes—
254#2518C2212yes—
255#2518C2212yes—
256#2516C2212yes—
257#2516C2212yes—
258#2515C2212yes—
259#2515C2212yes—
260#2515C2212yes—
261#2515C2212yes—
262#2515C2212yes—
263#2508C2212yes—
264#2489C2212yes—
265#2489C2212yes—
266#2485C2212yes—
267#2478C2212yes—
268#2476C2212yes—
269#2475C2212yes—
270#2473C2212yes—
271#2470C2212yes—
272#2469C2212yes—
273#2468C2212yes—
274#2468C2212yes—
275#2468C2212yes—
276#2468C2212yes—
277#2468C2212yes—
278#2467C2212yes—
279#2467C2212yes—
280#2466C2212yes—
281#2466C2212yes—
282#2465C2212yes—
283#2463C2212yes—
284#2462C2212yes—
285#2462C2212yes—
286#2461C2212yes—
287#2460C2212yes—
288#2460C2212yes—
289#2460C2212yes—
290#2460C2212yes—
291#2459C2212yes—
292#2457C2212yes—
293#2457C2212yes—
294#2456C2212yes—
295#2449C2212yes—
296#2442C2212yes—
297#2440C2212yes—
298#2439C2212yes—
299#2438C2212yes—
300#2438C2212yes—
301#2432C2212yes—
302#2420C2212yes—
303#2407C2212yes—
304#2406C2212yes—
305#2398C2212yes—
306#2398C2212yes—
307#2398C2212yes—
308#2396C2212yes—
309#2396C2212yes—
310#2396C2212yes—
311#2396C2212yes—
312#2395C2212yes—
313#2395C2212yes—
314#2392C2212yes—
315#2392C2212yes—
316#2392C2212yes—
317#2392C2212yes—
318#2392C2212yes—
319#2392C2212yes—
320#2388C2212yes—
321#2388C2212yes—
322#2388C2212yes—
323#2374C2212yes—
324#2374C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2371C2212yes—
331#2368C2212yes—
332#2363C2211yescharacteristic
333#2363C2211yescharacteristic
334#2362C2211yescharacteristic
335#2362C2211yescharacteristic
336#2361C2211yescharacteristic
337#2361C2211yescharacteristic
338#2360C2211yescharacteristic
339#2360C2211yescharacteristic
340#2359C2212yes—
341#2359C2212yes—
342#2359C2212yes—
343#2357C2211yescharacteristic
344#2357C2212yes—
345#2356C2211yescharacteristic
346#2355C2211yescharacteristic
347#2354C2211yescharacteristic
348#2354C2212yes—
349#2353C2212yes—
350#2353C2212yes—
351#2352C2212yes—
352#2351C2211yescharacteristic
353Q8×C4⋊C4C2211yescharacteristic
354#2349C2211yescharacteristic
355#2349C2212yes—
356D4×C4⋊C4C2211yescharacteristic
357#2347C2212yes—
358#2346C2212yes—
359#2343C2212yes—
360#2343C2212yes—
361#2343C2212yes—
362#2339C2212yes—
363#2335C2212yes—
364#2335C2212yes—
365#2334C2212yes—
366#2334C2212yes—
367#2324C2211yescharacteristic
368#2324C2211yescharacteristic
369#2323C2211yescharacteristic
370#2323C2211yescharacteristic
371#2320C2211yescharacteristic
372#2319C2211yescharacteristic
373#2318C2212yes—
374#2314C2212yes—
375C4×#125C2211yescharacteristic
376C4×#125C2211yescharacteristic
377C4×#125C2211yescharacteristic
378C4×#125C2211yescharacteristic
379C4×#125C2211yescharacteristic
380C4×#125C2211yescharacteristic
381C4×#124C2211yescharacteristic
382C4×#124C2211yescharacteristic
383C4×#124C2211yescharacteristic
384C4×#124C2211yescharacteristic
385C4×#124C2211yescharacteristic
386C4×#124C2211yescharacteristic
387#2285C2211yescharacteristic
388#2283C2211yescharacteristic
389C2×#382C2211yescharacteristic
390#2276C2211yescharacteristic
391#2275C2211yescharacteristic
392#2275C2212yes—
393#2274C2212yes—
394C4×#117C2211yescharacteristic
395C22×#41C2312yes—
396C2×C4⋊Q8C2312yes—
397#529—28no—
398#529—28no—
399#529—28no—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#125C2311yescharacteristic
409C2×#125C2311yescharacteristic
410C2×#125C2311yescharacteristic
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#124C2311yescharacteristic
418C2×#124C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2311yescharacteristic
476C2×#117C2311yescharacteristic
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C42C2311yescharacteristic
481#401C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2311yescharacteristic
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2311yescharacteristic
739#390C2311yescharacteristic
740#390C2311yescharacteristic
741#390C2311yescharacteristic
742#390C2311yescharacteristic
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2311yescharacteristic
748#390C2312yes—
749#390C2312yes—
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#384C2312yes—
998#384C2311yescharacteristic
999#384C2311yescharacteristic
1000#384C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#382C2311yescharacteristic
1011#382C2311yescharacteristic
1012#382C2311yescharacteristic
1013#382C2311yescharacteristic
1014#382C2311yescharacteristic
1015#382C2311yescharacteristic
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#382C2311yescharacteristic
1029#382C2312yes—
1030#382C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2311yescharacteristic
1062C4×C4⋊C4C2311yescharacteristic
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133#376C2311yescharacteristic
1134#376C2312yes—
1135#376C2311yescharacteristic
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C2×#41—44no—
1146C2×#41—82no—
1147C2×#41—82no—
1148C22×Q8C2411yescharacteristic
1149C22×Q8C2411yescharacteristic
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2412yes—
1152C22×Q8C2412yes—
1153C22×D4C2412yes—
1154C22×D4C2411yescharacteristic
1155C22×D4C2411yescharacteristic
1156C22×D4C2411yescharacteristic
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2412yes—
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C4⋊Q8—82no—
1180#126—28no—
1181#126—28no—
1182#126—28no—
1183#126—44no—
1184#126—82no—
1185#126—82no—
1186#126—82no—
1187#126—82no—
1188#125—24no—
1189#125—24no—
1190#125—24no—
1191#125—44no—
1192#125—82no—
1193#125—82no—
1194#125—82no—
1195#124—24no—
1196#124—24no—
1197#124—24no—
1198#124—82no—
1199#123—28no—
1200#123—28no—
1201#123—28no—
1202#123—44no—
1203#123—82no—
1204#123—82no—
1205C22⋊Q8—24no—
1206C22⋊Q8—24no—
1207C22⋊Q8—24no—
1208C22⋊Q8—44no—
1209C22⋊Q8—82no—
1210C22⋊Q8—82no—
1211C22⋊Q8—82no—
1212#121—24no—
1213#121—24no—
1214#121—24no—
1215#121—82no—
1216#121—82no—
1217C4×Q8—24no—
1218C4×Q8—24no—
1219C4×Q8—24no—
1220C4×Q8—42no—
1221C4×Q8—42no—
1222C4×Q8—81no—
1223C4×Q8—81no—
1224C4×Q8—81no—
1225C4×Q8—81no—
1226C4×D4—28no—
1227C4×D4—28no—
1228C4×D4—28no—
1229C4×D4—24no—
1230C4×D4—24no—
1231C4×D4—24no—
1232C4×D4—44no—
1233C4×D4—42no—
1234C4×D4—42no—
1235C4×D4—44no—
1236C4×D4—44no—
1237C4×D4—44no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242C4×D4—81no—
1243C4×D4—81no—
1244C4×D4—81no—
1245C4×D4—81no—
1246C4×D4—82no—
1247#117—28no—
1248#117—28no—
1249#117—28no—
1250#117—44no—
1251#117—44no—
1252#117—42no—
1253#117—42no—
1254#117—81no—
1255#117—81no—
1256#117—82no—
1257C2×C4⋊C4—44no—
1258C2×C4⋊C4—81no—
1259C2×C4⋊C4—81no—
1260C2×C4⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C22⋊C4C2411yescharacteristic
1355C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2411yescharacteristic
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C42#4118yescomplemented
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2411yescharacteristic
1445C2×C42C2411yescharacteristic
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2411yescharacteristic
1449C2×C42C2411yescharacteristic
1450C2×C42C2411yescharacteristic
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2411yescharacteristic
1461C2×C42C2411yescharacteristic
1462C2×C42C2411yescharacteristic
1463C2×C42C2411yescharacteristic
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2411yescharacteristic
1472C2×C42C2411yescharacteristic
1473#95C2411yescharacteristic
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#95C2411yescharacteristic
1488#95C2411yescharacteristic
1489#95C2411yescharacteristic
1490#95C2411yescharacteristic
1491#95C2411yescharacteristic
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2411yescharacteristic
1497#95C2411yescharacteristic
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585C24C2512yes—
1586C24C2512yes—
1587C24C2512yes—
1588C24C2511yescharacteristic
1589#41—816no—
1590C2×Q8—22no—
1591C2×Q8—22no—
1592C2×Q8—22no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—41no—
1596C2×Q8—41no—
1597C2×Q8—41no—
1598C2×Q8—41no—
1599C2×Q8—42no—
1600C2×Q8—42no—
1601C2×Q8—42no—
1602C2×Q8—42no—
1603C2×Q8—42no—
1604C2×Q8—42no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—22no—
1609C2×D4—22no—
1610C2×D4—22no—
1611C2×D4—41no—
1612C2×D4—41no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—41no—
1617C2×D4—41no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—41no—
1622C2×D4—41no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—42no—
1650C22×C4—41no—
1651C22×C4—41no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4C2×#4114yes—
1681C22×C4C2×#4114yes—
1682C22×C4C2×#4114yes—
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C22×C4C2511yescharacteristic
1704C22×C4C2511yescharacteristic
1705C22×C4C2511yescharacteristic
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2511yescharacteristic
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2511yescharacteristic
1715C22×C4C2511yescharacteristic
1716C22×C4C2511yescharacteristic
1717C22×C4C2511yescharacteristic
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—22no—
1725C4⋊C4—22no—
1726C4⋊C4—22no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—22no—
1731C4⋊C4—22no—
1732C4⋊C4—22no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—22no—
1737C4⋊C4—24no—
1738C4⋊C4—22no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
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—41no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—41no—
1764C4⋊C4—41no—
1765C4⋊C4—41no—
1766C4⋊C4—41no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—22no—
1828C22⋊C4—22no—
1829C22⋊C4—24no—
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—41no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C42—24no—
1890C42—24no—
1891C42—24no—
1892C42—24no—
1893C42—22no—
1894C42—22no—
1895C42—24no—
1896C42—24no—
1897C42—42no—
1898C42—41no—
1899C42—41no—
1900C42—41no—
1901C42—41no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—41no—
1907C42—41no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—41no—
1916C42—41no—
1917C42—41no—
1918C42—42no—
1919C42—42no—
1920C42—41no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42C2×#4114yes—
1927C42C2×#4114yes—
1928C42C2×#4114yes—
1929C42C2×#4114yes—
1930C23—21no—
1931C23—21no—
1932C23—21no—
1933C23—21no—
1934C23—21no—
1935C23—21no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23C22×#4112yes—
1958C23C2611yescharacteristic
1959Q8—44no—
1960Q8—44no—
1961Q8—44no—
1962Q8—84no—
1963Q8—162no—
1964D4—44no—
1965D4—44no—
1966D4—44no—
1967D4—48no—
1968D4—48no—
1969D4—48no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—84no—
1975D4—84no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—21no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—21no—
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—21no—
2026C2×C4—21no—
2027C2×C4—21no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—44no—
2074C2×C4—44no—
2075C2×C4—44no—
2076C2×C4—48no—
2077C2×C4—84no—
2078C2×C4—84no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—162no—
2085C2×C4—162no—
2086C2×C4—162no—
2087C2×C4C22×#4112yes—
2088C2×C4C22×#4112yes—
2089C2×C4C22×#4112yes—
2090C2×C4C22×#4112yes—
2091C2×C4C22×#4112yes—
2092C2×C4C22×#4112yes—
2093C2×C4#58512yes—
2094C2×C4#58512yes—
2095C22—22no—
2096C22—22no—
2097C22—22no—
2098C22—41no—
2099C22—41no—
2100C22—41no—
2101C22—41no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22C23×#4111yescharacteristic
2124C22C2×#58511yescharacteristic
2125C22C2×#58511yescharacteristic
2126C22H(7,𝔽2)11yescharacteristic
2127C22H(7,𝔽2)11yescharacteristic
2128C222−1+611yescharacteristic
2129C222−1+611yescharacteristic
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—41no—
2142C4—42no—
2143C4—42no—
2144C4—41no—
2145C4—42no—
2146C4—41no—
2147C4—42no—
2148C4—42no—
2149C4—41no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—41no—
2154C4—41no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C2—42no—
2166C2—82no—
2167C2—82no—
2168C2—82no—
2169C2#6268611yescharacteristic
2170C2#6285611yescharacteristic
2171C2#6285611yescharacteristic
2172C2#6304611yescharacteristic
2173C2#6304711yescharacteristic
2174C2#6305011yescharacteristic
2175C2#6305311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42406C2semidirect
2. #42358C2semidirect
3. #42325C2semidirect
4. #42192C2semidirect
5. #42064C2semidirect
6. #42063C2semidirect
7. #42016C2semidirect
8. #41973C2semidirect
9. #41748C2semidirect
10. #41737C2semidirect
11. #41113C2semidirect
12. #41096C2semidirect
13. #40973C2semidirect
14. #40968C2semidirect
15. #40958C2semidirect
16. #40953C2semidirect
17. #40583C2semidirect
18. #40581C2semidirect
19. #37612C2semidirect
20. #37610C2semidirect
21. #37608C2semidirect
22. #37603C2semidirect
23. #37600C2semidirect
24. #37600C2semidirect
25. #37599C2semidirect
26. #37561C2semidirect
27. #37541C2semidirect
28. #36695C2semidirect
29. #36694C2semidirect
30. #36684C2semidirect
31. #36081C2semidirect
32. #35946C2semidirect
33. #35925C2semidirect
34. #35767C2semidirect
35. #35766C2semidirect
36. #35685C2semidirect
37. #34242C2semidirect
38. #34229C2semidirect
39. #34227C2semidirect
1431. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#424062
#423582
#423252
#421922
#420642
#420632
#420162
#419732
#417482
#417372
#411132
#410962
#409732
#409682
#409582
#409532
#405832
#405812
#376122
#376102
#376082
#376032
#376002
#375992
#375612
#375412
#366952
#366942
#366842
#360812
#359462
#359252
#357672
#357662
#356852
#342422
#342292
#342272