Finite Group Databasebeta

← #7710101

Subgroups — #7710101

Order 512.

4768 conjugacy classes of subgroups.

The subgroup lattice has 2241 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59797C212yesmaximal, complemented
2#59615C212yesmaximal, complemented
3#59149C212yesmaximal, complemented
4#59141C212yesmaximal, complemented
5#46163C211yesmaximal, characteristic, complemented
6#46155C211yesmaximal, characteristic, complemented
7#46018C211yesmaximal, characteristic, complemented
8#46000C211yesmaximal, characteristic, complemented
9#45989C211yesmaximal, characteristic, complemented
10#45988C211yesmaximal, characteristic, complemented
11#45979C211yesmaximal, characteristic, complemented
12#45978C211yesmaximal, characteristic, complemented
13#40465C212yesmaximal, complemented
14#40464C212yesmaximal, complemented
15#40110C212yesmaximal, complemented
16#40039C212yesmaximal, complemented
17#39320C212yesmaximal, complemented
18#39106C212yesmaximal, complemented
19#38488C212yesmaximal, complemented
20#38481C212yesmaximal, complemented
21#38448C212yesmaximal, complemented
22#38421C212yesmaximal, complemented
23#38333C212yesmaximal, complemented
24#38302C212yesmaximal, complemented
25#37600C211yesmaximal, characteristic, complemented
26#37599C211yesmaximal, characteristic, complemented
27#37052C212yesmaximal, complemented
28#37051C212yesmaximal, complemented
29#36639C211yesmaximal, characteristic, complemented
30#36638C211yesmaximal, characteristic, complemented
31#36518C212yesmaximal, complemented
32#36337C212yesmaximal, complemented
33#36328C212yesmaximal, complemented
34#36328C212yesmaximal, complemented
35#35230C212yesmaximal, complemented
36#35060C212yesmaximal, complemented
37#34528C211yesmaximal, characteristic, complemented
38#34527C211yesmaximal, characteristic, complemented
39C2×C4×#125C211yesmaximal, characteristic, complemented
40C2×#563C2211yescharacteristic
41C2×#562C2211yescharacteristic
42C2×#554C2212yes—
43C2×#553C2212yes—
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C22×#125C2211yescharacteristic
47#2866C2212yes—
48#2865C2212yes—
49#2864C2211yescharacteristic
50#2863C2211yescharacteristic
51#2862C2211yescharacteristic
52#2862C2211yescharacteristic
53#2861C2211yescharacteristic
54#2861C2212yes—
55#2861C2212yes—
56#2860C2211yescharacteristic
57#2858C2211yescharacteristic
58#2858C2211yescharacteristic
59#2855C2211yescharacteristic
60#2854C2211yescharacteristic
61#2853C2212yes—
62#2852C2212yes—
63#2852C2212yes—
64#2852C2212yes—
65#2851C2211yescharacteristic
66#2850C2212yes—
67#2850C2211yescharacteristic
68#2850C2211yescharacteristic
69#2850C2211yescharacteristic
70#2850C2211yescharacteristic
71#2850C2212yes—
72#2850C2211yescharacteristic
73#2850C2212yes—
74#2850C2212yes—
75#2845C2211yescharacteristic
76#2844C2211yescharacteristic
77#2822C2211yescharacteristic
78#2820C2211yescharacteristic
79#2820C2211yescharacteristic
80#2820C2211yescharacteristic
81#2820C2211yescharacteristic
82#2819C2211yescharacteristic
83#2809C2212yes—
84#2806C2212yes—
85#2803C2212yes—
86#2800C2212yes—
87#2799C2212yes—
88#2799C2212yes—
89#2798C2212yes—
90#2797C2212yes—
91#2796C2212yes—
92#2784C2212yes—
93#2781C2212yes—
94#2781C2212yes—
95#2780C2212yes—
96#2775C2212yes—
97#2775C2212yes—
98#2774C2212yes—
99#2773C2212yes—
100#2773C2212yes—
101#2767C2212yes—
102#2765C2212yes—
103#2762C2212yes—
104#2755C2212yes—
105#2754C2212yes—
106#2754C2212yes—
107#2751C2212yes—
108#2748C2212yes—
109#2745C2212yes—
110#2734C2212yes—
111#2729C2212yes—
112#2725C2212yes—
113#2723C2212yes—
114#2721C2212yes—
115#2720C2212yes—
116#2719C2212yes—
117#2716C2212yes—
118#2715C2212yes—
119#2714C2212yes—
120#2713C2212yes—
121#2713C2212yes—
122#2713C2212yes—
123#2713C2212yes—
124#2711C2212yes—
125#2711C2212yes—
126#2710C2212yes—
127#2709C2212yes—
128#2707C2212yes—
129#2706C2212yes—
130#2706C2212yes—
131#2705C2212yes—
132#2704C2212yes—
133#2704C2212yes—
134#2698C2212yes—
135#2698C2212yes—
136#2694C2212yes—
137#2694C2212yes—
138#2694C2212yes—
139#2692C2212yes—
140#2690C2212yes—
141#2689C2212yes—
142#2681C2212yes—
143#2677C2212yes—
144#2674C2212yes—
145#2673C2212yes—
146#2672C2212yes—
147#2667C2212yes—
148#2666C2212yes—
149#2665C2212yes—
150#2664C2212yes—
151#2663C2212yes—
152#2662C2212yes—
153#2654C2212yes—
154#2654C2212yes—
155#2652C2212yes—
156#2651C2212yes—
157#2651C2212yes—
158#2651C2212yes—
159#2650C2212yes—
160#2650C2212yes—
161#2649C2212yes—
162#2648C2212yes—
163#2611C2212yes—
164#2608C2212yes—
165#2607C2212yes—
166#2605C2212yes—
167#2604C2212yes—
168#2601C2212yes—
169#2597C2212yes—
170#2597C2212yes—
171#2597C2212yes—
172#2596C2212yes—
173#2595C2212yes—
174#2594C2212yes—
175#2591C2212yes—
176#2591C2212yes—
177#2589C2212yes—
178#2589C2212yes—
179#2588C2212yes—
180#2586C2212yes—
181#2586C2212yes—
182#2583C2212yes—
183#2579C2212yes—
184#2578C2212yes—
185#2576C2212yes—
186#2569C2212yes—
187#2569C2212yes—
188#2564C2212yes—
189#2564C2212yes—
190#2560C2212yes—
191#2560C2212yes—
192#2560C2212yes—
193#2558C2212yes—
194#2558C2212yes—
195#2557C2212yes—
196#2556C2212yes—
197#2554C2212yes—
198#2554C2212yes—
199#2550C2212yes—
200#2549C2212yes—
201#2543C2212yes—
202#2543C2212yes—
203#2543C2212yes—
204#2540C2212yes—
205#2532C2212yes—
206#2532C2212yes—
207#2532C2212yes—
208#2530C2212yes—
209#2529C2212yes—
210#2529C2212yes—
211#2528C2212yes—
212#2525C2212yes—
213#2525C2212yes—
214#2524C2212yes—
215#2522C2212yes—
216#2522C2212yes—
217#2521C2212yes—
218#2521C2212yes—
219#2521C2212yes—
220#2521C2212yes—
221#2521C2212yes—
222#2521C2212yes—
223#2520C2212yes—
224#2520C2212yes—
225#2520C2212yes—
226#2519C2212yes—
227#2519C2212yes—
228#2516C2212yes—
229#2516C2212yes—
230#2515C2212yes—
231#2515C2212yes—
232#2515C2212yes—
233#2515C2212yes—
234#2512C2212yes—
235#2510C2212yes—
236#2508C2212yes—
237#2506C2212yes—
238#2504C2212yes—
239#2495C2212yes—
240#2491C2212yes—
241#2491C2212yes—
242#2489C2212yes—
243#2487C2212yes—
244#2481C2212yes—
245#2481C2212yes—
246#2481C2212yes—
247#2479C2212yes—
248#2479C2212yes—
249#2479C2212yes—
250#2479C2212yes—
251#2474C2212yes—
252#2474C2212yes—
253#2474C2212yes—
254#2473C2212yes—
255#2470C2212yes—
256#2469C2212yes—
257#2468C2212yes—
258#2468C2212yes—
259#2467C2212yes—
260#2465C2212yes—
261#2465C2212yes—
262#2462C2212yes—
263#2462C2212yes—
264#2462C2212yes—
265#2461C2212yes—
266#2461C2212yes—
267#2461C2212yes—
268#2461C2212yes—
269#2461C2212yes—
270#2460C2212yes—
271#2459C2212yes—
272#2457C2212yes—
273#2450C2212yes—
274#2450C2212yes—
275#2450C2212yes—
276#2450C2212yes—
277#2449C2212yes—
278#2449C2212yes—
279#2449C2212yes—
280#2449C2212yes—
281#2446C2212yes—
282#2444C2212yes—
283#2444C2212yes—
284#2444C2212yes—
285#2444C2212yes—
286#2443C2212yes—
287#2443C2212yes—
288#2443C2212yes—
289#2443C2212yes—
290#2443C2212yes—
291#2440C2212yes—
292#2438C2212yes—
293#2438C2212yes—
294#2430C2212yes—
295#2430C2212yes—
296#2423C2212yes—
297#2419C2212yes—
298#2417C2212yes—
299#2416C2212yes—
300#2416C2212yes—
301#2415C2212yes—
302#2413C2212yes—
303#2382C2211yescharacteristic
304#2382C2211yescharacteristic
305#2382C2211yescharacteristic
306#2379C2211yescharacteristic
307#2379C2211yescharacteristic
308#2379C2211yescharacteristic
309#2374C2212yes—
310#2374C2212yes—
311#2373C2212yes—
312#2373C2212yes—
313#2373C2212yes—
314#2373C2212yes—
315#2368C2212yes—
316#2368C2212yes—
317#2368C2212yes—
318#2367C2212yes—
319#2365C2212yes—
320#2364C2212yes—
321#2364C2212yes—
322#2362C2212yes—
323#2362C2212yes—
324#2361C2212yes—
325#2360C2212yes—
326#2359C2212yes—
327#2359C2212yes—
328#2359C2212yes—
329#2359C2212yes—
330#2359C2212yes—
331#2352C2212yes—
332#2347C2212yes—
333#2339C2212yes—
334#2339C2212yes—
335#2337C2212yes—
336#2335C2212yes—
337#2335C2212yes—
338#2334C2212yes—
339#2334C2212yes—
340#2334C2212yes—
341#2333C2212yes—
342#2332C2212yes—
343#2331C2212yes—
344#2329C2212yes—
345#2329C2212yes—
346#2324C2212yes—
347#2323C2212yes—
348#2322C2212yes—
349#2319C2212yes—
350#2314C2212yes—
351C4×#125C2212yes—
352C4×#125C2211yescharacteristic
353C4×#125C2211yescharacteristic
354C4×#125C2211yescharacteristic
355C4×#125C2211yescharacteristic
356C4×#125C2212yes—
357C4×#125C2211yescharacteristic
358C4×#125C2212yes—
359C4×#125C2211yescharacteristic
360C4×#125C2212yes—
361C4×#125C2211yescharacteristic
362C4×#125C2211yescharacteristic
363C4×#125C2211yescharacteristic
364C4×#126C2212yes—
365C4×#124C2212yes—
366C4×#124C2211yescharacteristic
367C4×#124C2211yescharacteristic
368C4×#124C2212yes—
369C4×#124C2211yescharacteristic
370C4×#124C2211yescharacteristic
371C4×#124C2211yescharacteristic
372C4×C22⋊Q8C2211yescharacteristic
373C4×#123C2212yes—
374C4×#121C2211yescharacteristic
375C4×#121C2212yes—
376C4×#121C2212yes—
377#2298C2212yes—
378#2297C2212yes—
379#2297C2212yes—
380#2295C2211yescharacteristic
381#2293C2211yescharacteristic
382C2×#389C2211yescharacteristic
383C2×#389C2211yescharacteristic
384#2290C2212yes—
385#2290C2212yes—
386#2290C2212yes—
387C2×#387C2212yes—
388C2×#387C2212yes—
389C2×#382C2211yescharacteristic
390C2×C4×C4⋊C4C2212yes—
391C2×C4×C4⋊C4C2212yes—
392C2×C4×C4⋊C4C2211yescharacteristic
393C2×C4×C4⋊C4C2211yescharacteristic
394C2×C43C2211yescharacteristic
395C22×#41C2312yes—
396#563—28no—
397#562—28no—
398#554—48no—
399#553—48no—
400#533—44no—
401#532—44no—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2312yes—
407C2×#127C2311yescharacteristic
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#125—28no—
417C2×#125C2311yescharacteristic
418C2×#125C2311yescharacteristic
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2311yescharacteristic
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#125C2312yes—
427C2×#125C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2312yes—
432C2×#124C2312yes—
433C2×#124C2311yescharacteristic
434C2×#124C2312yes—
435C2×#124C2311yescharacteristic
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2311yescharacteristic
455C2×C22⋊Q8C2311yescharacteristic
456C2×C22⋊Q8C2311yescharacteristic
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2311yescharacteristic
465C2×#121C2311yescharacteristic
466C2×#121C2311yescharacteristic
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2311yescharacteristic
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510C22×C42C2312yes—
511C22×C42C2312yes—
512C22×C42C2311yescharacteristic
513#401C2312yes—
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#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
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#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
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#395C2312yes—
624#395C2312yes—
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#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#391C2311yescharacteristic
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#390C2311yescharacteristic
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2311yescharacteristic
710#390C2312yes—
711#390C2312yes—
712#390C2311yescharacteristic
713#390C2311yescharacteristic
714#390C2312yes—
715#390C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#389C2311yescharacteristic
727#389C2311yescharacteristic
728#389C2312yes—
729#389C2311yescharacteristic
730#389C2311yescharacteristic
731#389C2312yes—
732#389C2311yescharacteristic
733#389C2311yescharacteristic
734#389C2311yescharacteristic
735#389C2312yes—
736#389C2312yes—
737#389C2311yescharacteristic
738#389C2311yescharacteristic
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2311yescharacteristic
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2311yescharacteristic
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#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#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#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#386C2312yes—
942#386C2312yes—
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#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#386C2312yes—
981#386C2312yes—
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#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#384C2312yes—
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#382C2311yescharacteristic
1023#382C2311yescharacteristic
1024#382C2312yes—
1025#382C2312yes—
1026#382C2311yescharacteristic
1027#382C2311yescharacteristic
1028#382C2311yescharacteristic
1029#382C2311yescharacteristic
1030#382C2311yescharacteristic
1031#382C2311yescharacteristic
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2311yescharacteristic
1038#382C2311yescharacteristic
1039#382C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2312yes—
1047#380C2311yescharacteristic
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
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⋊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#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C43C2311yescharacteristic
1148C43C2311yescharacteristic
1149C2×#41—28no—
1150C2×#41—44no—
1151C2×#41—44no—
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C23×C4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2411yescharacteristic
1177C23×C4C2411yescharacteristic
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2411yescharacteristic
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C4⋊Q8—28no—
1192C4⋊Q8—42no—
1193C4⋊Q8—42no—
1194C4⋊Q8—42no—
1195C4⋊Q8—44no—
1196#127—42no—
1197#126—28no—
1198#126—28no—
1199#126—44no—
1200#126—44no—
1201#126—44no—
1202#126—44no—
1203#126—44no—
1204#126—44no—
1205#125—28no—
1206#125—28no—
1207#125—24no—
1208#125—24no—
1209#125—24no—
1210#125—24no—
1211#125—44no—
1212#125—44no—
1213#125—44no—
1214#125—44no—
1215#125#4118yescomplemented
1216#124—24no—
1217#124—24no—
1218#124—24no—
1219#124—44no—
1220#124—42no—
1221#124—44no—
1222#124—44no—
1223#124—42no—
1224#124—44no—
1225#124—44no—
1226#123—28no—
1227#123—28no—
1228#123—28no—
1229#123—28no—
1230#123—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234C22⋊Q8—28no—
1235C22⋊Q8—28no—
1236C22⋊Q8—28no—
1237C22⋊Q8—28no—
1238C22⋊Q8—28no—
1239C22⋊Q8—42no—
1240C22⋊Q8—42no—
1241C22⋊Q8—42no—
1242C22⋊Q8—44no—
1243C22⋊Q8—44no—
1244C22⋊Q8—44no—
1245C22⋊Q8—44no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248#121—28no—
1249#121—28no—
1250#121—28no—
1251#121—44no—
1252#121—42no—
1253#121—44no—
1254#121—44no—
1255#121—42no—
1256#121—42no—
1257#121—44no—
1258#121—44no—
1259C4×Q8—42no—
1260C4×Q8—42no—
1261C4×Q8—42no—
1262C4×Q8—44no—
1263C4×Q8—44no—
1264C4×D4—28no—
1265C4×D4—44no—
1266C4×D4—42no—
1267C4×D4—44no—
1268C4×D4—42no—
1269C4×D4—42no—
1270C4×D4—44no—
1271C4×D4—44no—
1272C4×D4—44no—
1273C4×D4—44no—
1274C4×D4—44no—
1275C4×D4—44no—
1276C4×D4—44no—
1277C4×D4—44no—
1278#117—44no—
1279#117—44no—
1280#117—44no—
1281#117—44no—
1282#117—44no—
1283C2×C4⋊C4—28no—
1284C2×C4⋊C4—28no—
1285C2×C4⋊C4—28no—
1286C2×C4⋊C4—24no—
1287C2×C4⋊C4—24no—
1288C2×C4⋊C4—42no—
1289C2×C4⋊C4—42no—
1290C2×C4⋊C4—44no—
1291C2×C4⋊C4—44no—
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⋊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⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2411yescharacteristic
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2411yescharacteristic
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×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×C42—24no—
1454C2×C42—24no—
1455C2×C42—24no—
1456C2×C42—42no—
1457C2×C42—44no—
1458C2×C42—44no—
1459C2×C42—42no—
1460C2×C42—42no—
1461C2×C42—42no—
1462C2×C42C2411yescharacteristic
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2411yescharacteristic
1471C2×C42C2411yescharacteristic
1472C2×C42C2411yescharacteristic
1473C2×C42C2411yescharacteristic
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2411yescharacteristic
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2411yescharacteristic
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2411yescharacteristic
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—
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—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2511yescharacteristic
1621#41—816no—
1622C2×Q8—22no—
1623C2×Q8—22no—
1624C2×Q8—24no—
1625C2×Q8—22no—
1626C2×Q8—24no—
1627C2×Q8—24no—
1628C2×Q8—42no—
1629C2×Q8—41no—
1630C2×Q8—41no—
1631C2×Q8—41no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8—41no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8—41no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—24no—
1652C2×D4—24no—
1653C2×D4—24no—
1654C2×D4—22no—
1655C2×D4—22no—
1656C2×D4—22no—
1657C2×D4—24no—
1658C2×D4—24no—
1659C2×D4—42no—
1660C2×D4—41no—
1661C2×D4—41no—
1662C2×D4—42no—
1663C2×D4—41no—
1664C2×D4—42no—
1665C2×D4—41no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—41no—
1673C2×D4—42no—
1674C2×D4—41no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C22×C4—22no—
1680C22×C4—22no—
1681C22×C4—22no—
1682C22×C4—22no—
1683C22×C4—22no—
1684C22×C4—22no—
1685C22×C4—22no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—24no—
1689C22×C4—22no—
1690C22×C4—22no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—24no—
1697C22×C4—24no—
1698C22×C4—24no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—24no—
1703C22×C4—24no—
1704C22×C4—41no—
1705C22×C4—41no—
1706C22×C4—42no—
1707C22×C4—41no—
1708C22×C4—42no—
1709C22×C4—41no—
1710C22×C4—41no—
1711C22×C4—41no—
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×C4H(5,𝔽2)14yes—
1738C22×C42−1+414yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2511yescharacteristic
1747C22×C4C2511yescharacteristic
1748C22×C4C2511yescharacteristic
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2511yescharacteristic
1761C22×C4C2512yes—
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C22×C4C2511yescharacteristic
1765C22×C4C2512yes—
1766C22×C4C2512yes—
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—24no—
1785C4⋊C4—24no—
1786C4⋊C4—22no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—22no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—41no—
1809C4⋊C4—41no—
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—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—41no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—41no—
1830C4⋊C4—41no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—41no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—41no—
1840C4⋊C4—41no—
1841C4⋊C4—41no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—41no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4C2×#4118yes—
1861C4⋊C4C2×#4118yes—
1862C4⋊C4C2×#4114yes—
1863C4⋊C4C2×#4114yes—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
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—
1935C42—22no—
1936C42—22no—
1937C42—22no—
1938C42—24no—
1939C42—22no—
1940C42—22no—
1941C42—22no—
1942C42—22no—
1943C42—24no—
1944C42—22no—
1945C42—22no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—24no—
1950C42—24no—
1951C42—22no—
1952C42—24no—
1953C42—22no—
1954C42—22no—
1955C42—22no—
1956C42—24no—
1957C42—22no—
1958C42—41no—
1959C42—41no—
1960C42—42no—
1961C42—41no—
1962C42—42no—
1963C42—41no—
1964C42—41no—
1965C42—41no—
1966C42—42no—
1967C42—42no—
1968C42—41no—
1969C42—41no—
1970C42—41no—
1971C42—41no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42C2×#4114yes—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
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—
2011C23C2×H(5,𝔽2)12yes—
2012C23C2×2−1+412yes—
2013C23#58512yes—
2014C23C2611yescharacteristic
2015Q8—84no—
2016Q8—82no—
2017Q8—82no—
2018Q8—82no—
2019Q8—84no—
2020Q8—84no—
2021Q8—162no—
2022D4—48no—
2023D4—48no—
2024D4—48no—
2025D4—84no—
2026D4—82no—
2027D4—82no—
2028D4—84no—
2029D4—82no—
2030D4—84no—
2031D4—84no—
2032D4—84no—
2033D4—162no—
2034C2×C4—28no—
2035C2×C4—28no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—21no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—22no—
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—22no—
2060C2×C4—28no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
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—21no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
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—22no—
2129C2×C4—22no—
2130C2×C4—44no—
2131C2×C4—48no—
2132C2×C4—44no—
2133C2×C4—48no—
2134C2×C4—44no—
2135C2×C4—44no—
2136C2×C4—84no—
2137C2×C4—84no—
2138C2×C4—84no—
2139C2×C4—84no—
2140C2×C4—84no—
2141C2×C4—84no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—84no—
2145C2×C4—162no—
2146C2×C4—162no—
2147C2×C4C22×#4112yes—
2148C2×C4C22×#4112yes—
2149C2×C4C22×#4112yes—
2150C2×C4C22×#4114yes—
2151C2×C4C22×#4114yes—
2152C2×C4C2×H(5,𝔽2)12yes—
2153C2×C4C2×H(5,𝔽2)12yes—
2154C2×C4C2×2−1+412yes—
2155C2×C4C2×2−1+412yes—
2156C2×C4#58512yes—
2157C2×C4#58512yes—
2158C2×C4#58512yes—
2159C22—22no—
2160C22—22no—
2161C22—22no—
2162C22—22no—
2163C22—22no—
2164C22—22no—
2165C22—42no—
2166C22—42no—
2167C22—42no—
2168C22—42no—
2169C22—42no—
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#356114yes—
2187C22C23×#4111yescharacteristic
2188C22C22×H(5,𝔽2)11yescharacteristic
2189C22C22×2−1+411yescharacteristic
2190C22C2×#58511yescharacteristic
2191C22C2×#58511yescharacteristic
2192C22C2×#58511yescharacteristic
2193C22C2×#58511yescharacteristic
2194C4—22no—
2195C4—22no—
2196C4—22no—
2197C4—22no—
2198C4—24no—
2199C4—22no—
2200C4—24no—
2201C4—22no—
2202C4—22no—
2203C4—22no—
2204C4—22no—
2205C4—22no—
2206C4—42no—
2207C4—42no—
2208C4—42no—
2209C4—41no—
2210C4—41no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—41no—
2216C4—42no—
2217C4—42no—
2218C4—42no—
2219C4—42no—
2220C4—41no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—42no—
2229C2—24no—
2230C2—82no—
2231C2—82no—
2232C2—82no—
2233C2C2×#356111yescharacteristic
2234C2#6274311yescharacteristic
2235C2#6278811yescharacteristic
2236C2#6280011yescharacteristic
2237C2#6281011yescharacteristic
2238C2#6282211yescharacteristic
2239C2#6282511yescharacteristic
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. #59797C2semidirect
2. #59615C2semidirect
3. #59149C2semidirect
4. #59141C2semidirect
5. #46163C2semidirect
6. #46155C2semidirect
7. #46018C2semidirect
8. #46000C2semidirect
9. #45989C2semidirect
10. #45988C2semidirect
11. #45979C2semidirect
12. #45978C2semidirect
13. #40465C2semidirect
14. #40464C2semidirect
15. #40110C2semidirect
16. #40039C2semidirect
17. #39320C2semidirect
18. #39106C2semidirect
19. #38488C2semidirect
20. #38481C2semidirect
21. #38448C2semidirect
22. #38421C2semidirect
23. #38333C2semidirect
24. #38302C2semidirect
25. #37600C2semidirect
26. #37599C2semidirect
27. #37052C2semidirect
28. #37051C2semidirect
29. #36639C2semidirect
30. #36638C2semidirect
31. #36518C2semidirect
32. #36337C2semidirect
33. #36328C2semidirect
34. #36328C2semidirect
35. #35230C2semidirect
36. #35060C2semidirect
37. #34528C2semidirect
38. #34527C2semidirect
39. C2×C4×#125C2semidirect
1215. #125#41semidirect

Maximal subgroups

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

subgroupindex
#597972
#596152
#591492
#591412
#461632
#461552
#460182
#460002
#459892
#459882
#459792
#459782
#404652
#404642
#401102
#400392
#393202
#391062
#384882
#384812
#384482
#384212
#383332
#383022
#376002
#375992
#370522
#370512
#366392
#366382
#365182
#363372
#363282
#352302
#350602
#345282
#345272
C2×C4×#1252