Finite Group Databasebeta

← #7658901

Subgroups — #7658901

Order 512.

4502 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42402C212yesmaximal, complemented
2#42160C212yesmaximal, complemented
3#42059C212yesmaximal, complemented
4#42045C212yesmaximal, complemented
5#42041C212yesmaximal, complemented
6#42020C212yesmaximal, complemented
7#42018C212yesmaximal, complemented
8#41975C212yesmaximal, complemented
9#41137C212yesmaximal, complemented
10#41136C212yesmaximal, complemented
11#41123C212yesmaximal, complemented
12#41122C212yesmaximal, complemented
13#41087C212yesmaximal, complemented
14#41086C212yesmaximal, complemented
15#41069C212yesmaximal, complemented
16#41068C212yesmaximal, complemented
17#40555C212yesmaximal, complemented
18#40554C212yesmaximal, complemented
19#37612C211yesmaximal, characteristic, complemented
20#37610C211yesmaximal, characteristic, complemented
21#37609C211yesmaximal, characteristic, complemented
22#37604C211yesmaximal, characteristic, complemented
23#37600C211yesmaximal, characteristic, complemented
24#37599C211yesmaximal, characteristic, complemented
25#37599C211yesmaximal, characteristic, complemented
26#37554C211yesmaximal, characteristic, complemented
27#37541C211yesmaximal, characteristic, complemented
28#36695C211yesmaximal, characteristic, complemented
29#36694C211yesmaximal, characteristic, complemented
30#36687C211yesmaximal, characteristic, complemented
31#35735C212yesmaximal, complemented
32#35733C212yesmaximal, complemented
33#35709C212yesmaximal, complemented
34#35707C212yesmaximal, complemented
35#35698C212yesmaximal, complemented
36#35696C212yesmaximal, complemented
37#34232C211yesmaximal, characteristic, complemented
38#34229C211yesmaximal, characteristic, complemented
39#34227C211yesmaximal, characteristic, complemented
40C2×#532C2211yescharacteristic
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#2822C2211yescharacteristic
60#2821C2212yes—
61#2820C2211yescharacteristic
62#2820C2211yescharacteristic
63#2820C2211yescharacteristic
64#2820C2211yescharacteristic
65#2820C2211yescharacteristic
66#2820C2211yescharacteristic
67#2819C2211yescharacteristic
68#2819C2211yescharacteristic
69#2819C2211yescharacteristic
70#2819C2211yescharacteristic
71#2819C2211yescharacteristic
72#2818C2212yes—
73#2816C2212yes—
74#2815C2212yes—
75#2813C2212yes—
76#2813C2212yes—
77#2810C2212yes—
78#2808C2212yes—
79#2803C2212yes—
80#2803C2212yes—
81#2803C2212yes—
82#2800C2212yes—
83#2798C2212yes—
84#2798C2212yes—
85#2797C2212yes—
86#2796C2212yes—
87#2786C2212yes—
88#2782C2212yes—
89#2776C2212yes—
90#2776C2212yes—
91#2775C2212yes—
92#2773C2212yes—
93#2772C2212yes—
94#2771C2212yes—
95#2757C2212yes—
96#2756C2212yes—
97#2756C2212yes—
98#2753C2212yes—
99#2753C2212yes—
100#2749C2212yes—
101#2741C2212yes—
102#2739C2212yes—
103#2737C2212yes—
104#2733C2212yes—
105#2728C2212yes—
106#2727C2212yes—
107#2723C2212yes—
108#2722C2212yes—
109#2719C2212yes—
110#2714C2212yes—
111#2714C2212yes—
112#2711C2212yes—
113#2708C2212yes—
114#2703C2212yes—
115#2703C2212yes—
116#2701C2212yes—
117#2699C2212yes—
118#2696C2212yes—
119#2694C2212yes—
120#2691C2212yes—
121#2688C2212yes—
122#2681C2212yes—
123#2676C2212yes—
124#2672C2212yes—
125#2667C2212yes—
126#2666C2212yes—
127#2666C2212yes—
128#2666C2212yes—
129#2666C2212yes—
130#2666C2212yes—
131#2665C2212yes—
132#2665C2212yes—
133#2664C2212yes—
134#2663C2212yes—
135#2663C2212yes—
136#2663C2212yes—
137#2662C2212yes—
138#2662C2212yes—
139#2661C2212yes—
140#2661C2212yes—
141#2661C2212yes—
142#2661C2212yes—
143#2656C2212yes—
144#2654C2212yes—
145#2654C2212yes—
146#2654C2212yes—
147#2653C2212yes—
148#2653C2212yes—
149#2653C2212yes—
150#2652C2212yes—
151#2651C2212yes—
152#2651C2212yes—
153#2651C2212yes—
154#2650C2212yes—
155#2650C2212yes—
156#2650C2212yes—
157#2650C2212yes—
158#2649C2212yes—
159#2649C2212yes—
160#2648C2212yes—
161#2648C2212yes—
162#2639C2212yes—
163#2638C2212yes—
164#2638C2212yes—
165#2637C2212yes—
166#2637C2212yes—
167#2636C2212yes—
168#2636C2212yes—
169#2635C2212yes—
170#2634C2212yes—
171#2630C2212yes—
172#2630C2212yes—
173#2630C2212yes—
174#2630C2212yes—
175#2628C2212yes—
176#2627C2212yes—
177#2627C2212yes—
178#2619C2212yes—
179#2612C2212yes—
180#2612C2212yes—
181#2612C2212yes—
182#2604C2212yes—
183#2603C2212yes—
184#2603C2212yes—
185#2602C2212yes—
186#2602C2212yes—
187#2601C2212yes—
188#2601C2212yes—
189#2600C2212yes—
190#2600C2212yes—
191#2599C2212yes—
192#2598C2212yes—
193#2597C2212yes—
194#2597C2212yes—
195#2596C2212yes—
196#2593C2212yes—
197#2589C2212yes—
198#2589C2212yes—
199#2586C2212yes—
200#2585C2212yes—
201#2580C2212yes—
202#2578C2212yes—
203#2578C2212yes—
204#2577C2212yes—
205#2576C2212yes—
206#2575C2212yes—
207#2574C2212yes—
208#2574C2212yes—
209#2574C2212yes—
210#2573C2212yes—
211#2573C2212yes—
212#2573C2212yes—
213#2572C2212yes—
214#2569C2212yes—
215#2569C2212yes—
216#2569C2212yes—
217#2559C2212yes—
218#2559C2212yes—
219#2556C2212yes—
220#2556C2212yes—
221#2554C2212yes—
222#2554C2212yes—
223#2553C2212yes—
224#2553C2212yes—
225#2549C2212yes—
226#2549C2212yes—
227#2535C2212yes—
228#2533C2212yes—
229#2531C2212yes—
230#2531C2212yes—
231#2531C2212yes—
232#2530C2212yes—
233#2530C2212yes—
234#2527C2212yes—
235#2526C2212yes—
236#2525C2212yes—
237#2522C2212yes—
238#2521C2212yes—
239#2521C2212yes—
240#2519C2212yes—
241#2518C2212yes—
242#2517C2212yes—
243#2516C2212yes—
244#2516C2212yes—
245#2515C2212yes—
246#2509C2212yes—
247#2505C2212yes—
248#2490C2212yes—
249#2488C2212yes—
250#2479C2212yes—
251#2478C2212yes—
252#2477C2212yes—
253#2476C2212yes—
254#2469C2212yes—
255#2469C2212yes—
256#2468C2212yes—
257#2468C2212yes—
258#2467C2212yes—
259#2467C2212yes—
260#2467C2212yes—
261#2466C2212yes—
262#2466C2212yes—
263#2465C2212yes—
264#2465C2212yes—
265#2464C2212yes—
266#2464C2212yes—
267#2464C2212yes—
268#2464C2212yes—
269#2463C2212yes—
270#2462C2212yes—
271#2461C2212yes—
272#2461C2212yes—
273#2461C2212yes—
274#2460C2212yes—
275#2460C2212yes—
276#2459C2212yes—
277#2458C2212yes—
278#2458C2212yes—
279#2458C2212yes—
280#2457C2212yes—
281#2457C2212yes—
282#2457C2212yes—
283#2456C2212yes—
284#2456C2212yes—
285#2456C2212yes—
286#2455C2212yes—
287#2455C2212yes—
288#2454C2212yes—
289#2450C2212yes—
290#2447C2212yes—
291#2444C2212yes—
292#2430C2212yes—
293#2430C2212yes—
294#2430C2212yes—
295#2427C2212yes—
296#2425C2212yes—
297#2420C2212yes—
298#2419C2212yes—
299#2416C2212yes—
300#2416C2212yes—
301#2415C2212yes—
302#2414C2212yes—
303#2407C2212yes—
304#2407C2212yes—
305#2398C2212yes—
306#2398C2212yes—
307#2398C2212yes—
308#2398C2212yes—
309#2397C2212yes—
310#2396C2212yes—
311#2396C2212yes—
312#2395C2212yes—
313#2395C2212yes—
314#2392C2212yes—
315#2392C2212yes—
316#2392C2212yes—
317#2392C2212yes—
318#2388C2212yes—
319#2388C2212yes—
320#2388C2212yes—
321#2388C2212yes—
322#2388C2212yes—
323#2374C2212yes—
324#2374C2212yes—
325#2374C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2368C2212yes—
330#2366C2211yescharacteristic
331#2366C2211yescharacteristic
332#2365C2211yescharacteristic
333#2365C2211yescharacteristic
334#2364C2212yes—
335#2363C2212yes—
336#2363C2212yes—
337#2361C2211yescharacteristic
338#2361C2211yescharacteristic
339#2360C2211yescharacteristic
340#2360C2211yescharacteristic
341#2359C2212yes—
342#2359C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2357C2212yes—
346#2357C2211yescharacteristic
347#2356C2211yescharacteristic
348#2353C2212yes—
349#2353C2212yes—
350#2353C2212yes—
351#2351C2211yescharacteristic
352#2349C2212yes—
353#2349C2211yescharacteristic
354#2347C2212yes—
355#2346C2212yes—
356#2343C2212yes—
357#2343C2212yes—
358#2341C2211yescharacteristic
359#2341C2211yescharacteristic
360#2339C2211yescharacteristic
361#2339C2211yescharacteristic
362#2339C2212yes—
363#2334C2212yes—
364#2334C2212yes—
365#2333C2212yes—
366#2333C2212yes—
367#2324C2211yescharacteristic
368#2324C2211yescharacteristic
369#2323C2211yescharacteristic
370#2323C2211yescharacteristic
371#2320C2211yescharacteristic
372#2319C2211yescharacteristic
373#2319C2212yes—
374#2318C2212yes—
375C4×#125C2211yescharacteristic
376C4×#125C2211yescharacteristic
377C4×#125C2211yescharacteristic
378C4×#125C2211yescharacteristic
379C4×#124C2211yescharacteristic
380C4×#124C2211yescharacteristic
381C4×#124C2211yescharacteristic
382C4×#124C2211yescharacteristic
383C4×#124C2211yescharacteristic
384C4×#124C2211yescharacteristic
385C4×#124C2211yescharacteristic
386C4×#124C2211yescharacteristic
387#2283C2211yescharacteristic
388#2283C2211yescharacteristic
389C2×#382C2211yescharacteristic
390#2276C2211yescharacteristic
391#2275C2212yes—
392#2275C2212yes—
393#2275C2211yescharacteristic
394C4×#117C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2312yes—
398#532—28no—
399C2×C4⋊Q8C2311yescharacteristic
400C2×#127C2311yescharacteristic
401#529—28no—
402#529—28no—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#125C2311yescharacteristic
411C2×#125C2311yescharacteristic
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#124C2311yescharacteristic
415C2×#124C2311yescharacteristic
416C2×#124C2311yescharacteristic
417C2×#124C2311yescharacteristic
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×#117C2312yes—
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2311yescharacteristic
494C22×C42C2311yescharacteristic
495#401C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
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#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#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#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#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#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
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#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2311yescharacteristic
743#391C2311yescharacteristic
744#391C2311yescharacteristic
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#390C2311yescharacteristic
752#390C2311yescharacteristic
753#390C2311yescharacteristic
754#390C2311yescharacteristic
755#390C2311yescharacteristic
756#390C2311yescharacteristic
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2311yescharacteristic
768#390C2311yescharacteristic
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
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#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
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#387C2312yes—
944#387C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#382C2311yescharacteristic
1018#382C2311yescharacteristic
1019#382C2311yescharacteristic
1020#382C2311yescharacteristic
1021#382C2311yescharacteristic
1022#382C2311yescharacteristic
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2311yescharacteristic
1031#382C2311yescharacteristic
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2311yescharacteristic
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2311yescharacteristic
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2311yescharacteristic
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
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—
1130#376C2311yescharacteristic
1131#376C2312yes—
1132#376C2311yescharacteristic
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C2×#41—24no—
1146C2×#41—24no—
1147C2×#41—44no—
1148C2×#41—81no—
1149C2×#41—81no—
1150C2×#41—81no—
1151C2×#41—81no—
1152C2×#41—82no—
1153C2×#41—82no—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2411yescharacteristic
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2411yescharacteristic
1195C23×C4C2411yescharacteristic
1196C23×C4C2411yescharacteristic
1197C4⋊Q8—24no—
1198#127—24no—
1199#126—28no—
1200#126—28no—
1201#126—44no—
1202#126—82no—
1203#126—82no—
1204#126—82no—
1205#126—82no—
1206#125—24no—
1207#125—24no—
1208#125—82no—
1209#125—82no—
1210#124—24no—
1211#124—24no—
1212#124—24no—
1213#124—24no—
1214#124—82no—
1215#124—82no—
1216#123—28no—
1217#123—28no—
1218#123—44no—
1219#123—44no—
1220#123—44no—
1221#123—82no—
1222#123—82no—
1223#123—82no—
1224#123—82no—
1225C22⋊Q8—24no—
1226C22⋊Q8—24no—
1227C22⋊Q8—44no—
1228C22⋊Q8—82no—
1229C22⋊Q8—82no—
1230C22⋊Q8—82no—
1231C22⋊Q8—82no—
1232#121—24no—
1233#121—24no—
1234#121—28no—
1235#121—28no—
1236#121—44no—
1237#121—82no—
1238#121—82no—
1239#121—82no—
1240#121—82no—
1241#121—82no—
1242#121—82no—
1243#121—82no—
1244#121—82no—
1245C4×Q8—24no—
1246C4×Q8—24no—
1247C4×Q8—42no—
1248C4×Q8—42no—
1249C4×Q8—81no—
1250C4×Q8—81no—
1251C4×Q8—81no—
1252C4×Q8—81no—
1253C4×Q8—81no—
1254C4×Q8—81no—
1255C4×D4—28no—
1256C4×D4—28no—
1257C4×D4—24no—
1258C4×D4—24no—
1259C4×D4—28no—
1260C4×D4—28no—
1261C4×D4—42no—
1262C4×D4—42no—
1263C4×D4—44no—
1264C4×D4—44no—
1265C4×D4—44no—
1266C4×D4—44no—
1267C4×D4—44no—
1268C4×D4—82no—
1269C4×D4—82no—
1270C4×D4—82no—
1271C4×D4—82no—
1272C4×D4—82no—
1273C4×D4—82no—
1274C4×D4—82no—
1275C4×D4—82no—
1276C4×D4—81no—
1277C4×D4—81no—
1278C4×D4—81no—
1279C4×D4—81no—
1280C4×D4—81no—
1281C4×D4—81no—
1282#117—28no—
1283#117—28no—
1284#117—42no—
1285#117—42no—
1286#117—82no—
1287#117—82no—
1288C2×C4⋊C4—81no—
1289C2×C4⋊C4—81no—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C42#4118yescomplemented
1461C2×C42C2411yescharacteristic
1462C2×C42C2411yescharacteristic
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2411yescharacteristic
1471C2×C42C2411yescharacteristic
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2412yes—
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499#95C2411yescharacteristic
1500#95C2411yescharacteristic
1501#95C2411yescharacteristic
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#95C2411yescharacteristic
1521#95C2411yescharacteristic
1522#95C2411yescharacteristic
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2411yescharacteristic
1529#95C2411yescharacteristic
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—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603C24C2512yes—
1604C24C2512yes—
1605C24C2512yes—
1606C24C2512yes—
1607C24C2511yescharacteristic
1608#41—88no—
1609#41—88no—
1610#41—816no—
1611C2×Q8—22no—
1612C2×Q8—22no—
1613C2×Q8—22no—
1614C2×Q8—22no—
1615C2×Q8—41no—
1616C2×Q8—41no—
1617C2×Q8—41no—
1618C2×Q8—41no—
1619C2×Q8—41no—
1620C2×Q8—41no—
1621C2×Q8—41no—
1622C2×Q8—41no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×D4—24no—
1630C2×D4—24no—
1631C2×D4—24no—
1632C2×D4—24no—
1633C2×D4—22no—
1634C2×D4—22no—
1635C2×D4—24no—
1636C2×D4—22no—
1637C2×D4—22no—
1638C2×D4—24no—
1639C2×D4—41no—
1640C2×D4—41no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—41no—
1647C2×D4—42no—
1648C2×D4—41no—
1649C2×D4—41no—
1650C2×D4—41no—
1651C2×D4—41no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—41no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—24no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—24no—
1698C22×C4—41no—
1699C22×C4—41no—
1700C22×C4—41no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4C2×#4114yes—
1738C22×C4C2×#4114yes—
1739C22×C4C2×#4114yes—
1740C22×C4C2511yescharacteristic
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2511yescharacteristic
1757C22×C4C2511yescharacteristic
1758C22×C4C2511yescharacteristic
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2511yescharacteristic
1767C22×C4C2511yescharacteristic
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—22no—
1781C4⋊C4—22no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—22no—
1785C4⋊C4—22no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—22no—
1789C4⋊C4—22no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—41no—
1794C4⋊C4—41no—
1795C4⋊C4—41no—
1796C4⋊C4—41no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—41no—
1808C4⋊C4—41no—
1809C4⋊C4—42no—
1810C4⋊C4—41no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—22no—
1869C22⋊C4—22no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
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—41no—
1885C22⋊C4—41no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C42—24no—
1945C42—24no—
1946C42—22no—
1947C42—22no—
1948C42—24no—
1949C42—41no—
1950C42—41no—
1951C42—42no—
1952C42—41no—
1953C42—41no—
1954C42—42no—
1955C42—42no—
1956C42—42no—
1957C42—42no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—41no—
1965C42—41no—
1966C42—41no—
1967C42—41no—
1968C42—42no—
1969C42—42no—
1970C42—41no—
1971C42—41no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42C2×#4114yes—
1979C42C2×#4114yes—
1980C42C2×#4114yes—
1981C42C2×#4114yes—
1982C23—21no—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—22no—
1989C23—22no—
1990C23—22no—
1991C23—22no—
1992C23—22no—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23C22×#4112yes—
2017C23C2611yescharacteristic
2018Q8—44no—
2019Q8—44no—
2020Q8—44no—
2021Q8—44no—
2022Q8—84no—
2023Q8—162no—
2024D4—44no—
2025D4—48no—
2026D4—44no—
2027D4—44no—
2028D4—44no—
2029D4—48no—
2030D4—48no—
2031D4—48no—
2032D4—84no—
2033D4—84no—
2034D4—84no—
2035D4—84no—
2036D4—84no—
2037D4—84no—
2038D4—84no—
2039D4—84no—
2040D4—84no—
2041D4—84no—
2042D4—162no—
2043D4—162no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—21no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—21no—
2129C2×C4—21no—
2130C2×C4—21no—
2131C2×C4—21no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—44no—
2139C2×C4—44no—
2140C2×C4—44no—
2141C2×C4—84no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—84no—
2145C2×C4—84no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—84no—
2150C2×C4—162no—
2151C2×C4—162no—
2152C2×C4—162no—
2153C2×C4—162no—
2154C2×C4—162no—
2155C2×C4C22×#4112yes—
2156C2×C4C22×#4112yes—
2157C2×C4C22×#4112yes—
2158C2×C4C22×#4112yes—
2159C2×C4C22×#4112yes—
2160C2×C4C22×#4112yes—
2161C2×C4#58512yes—
2162C2×C4#58512yes—
2163C22—22no—
2164C22—22no—
2165C22—22no—
2166C22—41no—
2167C22—41no—
2168C22—41no—
2169C22—41no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22C23×#4111yescharacteristic
2199C22C2×#58511yescharacteristic
2200C22C2×#58511yescharacteristic
2201C22H(7,𝔽2)11yescharacteristic
2202C22H(7,𝔽2)11yescharacteristic
2203C22H(7,𝔽2)11yescharacteristic
2204C222−1+611yescharacteristic
2205C4—22no—
2206C4—22no—
2207C4—22no—
2208C4—22no—
2209C4—22no—
2210C4—22no—
2211C4—22no—
2212C4—22no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—41no—
2217C4—42no—
2218C4—41no—
2219C4—41no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—41no—
2225C4—42no—
2226C4—42no—
2227C4—41no—
2228C4—41no—
2229C4—42no—
2230C4—42no—
2231C4—42no—
2232C4—42no—
2233C4—42no—
2234C4—42no—
2235C4—42no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C2—42no—
2240C2—82no—
2241C2—82no—
2242C2—82no—
2243C2—82no—
2244C2#6268611yescharacteristic
2245C2#6285511yescharacteristic
2246C2#6285611yescharacteristic
2247C2#6304611yescharacteristic
2248C2#6304711yescharacteristic
2249C2#6305511yescharacteristic
2250C2#6305611yescharacteristic
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. #42402C2semidirect
2. #42160C2semidirect
3. #42059C2semidirect
4. #42045C2semidirect
5. #42041C2semidirect
6. #42020C2semidirect
7. #42018C2semidirect
8. #41975C2semidirect
9. #41137C2semidirect
10. #41136C2semidirect
11. #41123C2semidirect
12. #41122C2semidirect
13. #41087C2semidirect
14. #41086C2semidirect
15. #41069C2semidirect
16. #41068C2semidirect
17. #40555C2semidirect
18. #40554C2semidirect
19. #37612C2semidirect
20. #37610C2semidirect
21. #37609C2semidirect
22. #37604C2semidirect
23. #37600C2semidirect
24. #37599C2semidirect
25. #37599C2semidirect
26. #37554C2semidirect
27. #37541C2semidirect
28. #36695C2semidirect
29. #36694C2semidirect
30. #36687C2semidirect
31. #35735C2semidirect
32. #35733C2semidirect
33. #35709C2semidirect
34. #35707C2semidirect
35. #35698C2semidirect
36. #35696C2semidirect
37. #34232C2semidirect
38. #34229C2semidirect
39. #34227C2semidirect
1460. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#424022
#421602
#420592
#420452
#420412
#420202
#420182
#419752
#411372
#411362
#411232
#411222
#410872
#410862
#410692
#410682
#405552
#405542
#376122
#376102
#376092
#376042
#376002
#375992
#375542
#375412
#366952
#366942
#366872
#357352
#357332
#357092
#357072
#356982
#356962
#342322
#342292
#342272