Finite Group Databasebeta

← #7709465

Subgroups — #7709465

Order 512.

4796 conjugacy classes of subgroups.

The subgroup lattice has 2235 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60013C212yesmaximal, complemented
2#59995C212yesmaximal, complemented
3#59900C212yesmaximal, complemented
4#59840C212yesmaximal, complemented
5#45807C211yesmaximal, characteristic, complemented
6#45800C211yesmaximal, characteristic, complemented
7#45792C211yesmaximal, characteristic, complemented
8#45784C211yesmaximal, characteristic, complemented
9#45775C212yesmaximal, complemented
10#45760C212yesmaximal, complemented
11#40439C212yesmaximal, complemented
12#40438C212yesmaximal, complemented
13#40351C212yesmaximal, complemented
14#40316C212yesmaximal, complemented
15#39701C211yesmaximal, characteristic, complemented
16#39700C211yesmaximal, characteristic, complemented
17#39573C211yesmaximal, characteristic, complemented
18#39572C211yesmaximal, characteristic, complemented
19#38870C212yesmaximal, complemented
20#38836C212yesmaximal, complemented
21#38473C211yesmaximal, characteristic, complemented
22#38472C211yesmaximal, characteristic, complemented
23#38435C211yesmaximal, characteristic, complemented
24#38434C211yesmaximal, characteristic, complemented
25#37993C212yesmaximal, complemented
26#37992C212yesmaximal, complemented
27#37534C212yesmaximal, complemented
28#37071C212yesmaximal, complemented
29#37050C212yesmaximal, complemented
30#36638C211yesmaximal, characteristic, complemented
31#36635C211yesmaximal, characteristic, complemented
32#36443C212yesmaximal, complemented
33#36326C212yesmaximal, complemented
34#36323C212yesmaximal, complemented
35#36227C212yesmaximal, complemented
36#35048C212yesmaximal, complemented
37#35018C212yesmaximal, complemented
38#34513C212yesmaximal, complemented
39C4×#532C211yesmaximal, characteristic, complemented
40C2×#562C2212yes—
41C2×#556C2212yes—
42C2×#552C2212yes—
43C2×#532C2211yescharacteristic
44C2×C4×#41C2212yes—
45#2866C2212yes—
46#2865C2212yes—
47#2864C2212yes—
48#2864C2211yescharacteristic
49#2863C2211yescharacteristic
50#2863C2211yescharacteristic
51#2863C2212yes—
52#2863C2211yescharacteristic
53#2862C2211yescharacteristic
54#2861C2211yescharacteristic
55#2860C2211yescharacteristic
56#2859C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2855C2211yescharacteristic
60#2855C2211yescharacteristic
61#2855C2212yes—
62#2855C2211yescharacteristic
63#2855C2212yes—
64#2854C2211yescharacteristic
65#2853C2212yes—
66#2853C2212yes—
67#2852C2212yes—
68#2852C2212yes—
69#2851C2212yes—
70#2851C2211yescharacteristic
71#2851C2212yes—
72#2850C2211yescharacteristic
73#2841C2212yes—
74#2816C2212yes—
75#2814C2212yes—
76#2813C2212yes—
77#2809C2211yescharacteristic
78#2808C2211yescharacteristic
79#2808C2211yescharacteristic
80#2806C2211yescharacteristic
81#2805C2211yescharacteristic
82#2804C2211yescharacteristic
83#2795C2212yes—
84#2793C2212yes—
85#2792C2212yes—
86#2791C2212yes—
87#2790C2212yes—
88#2790C2212yes—
89#2787C2212yes—
90#2777C2212yes—
91#2775C2212yes—
92#2772C2212yes—
93#2766C2212yes—
94#2763C2212yes—
95#2762C2212yes—
96#2755C2212yes—
97#2754C2212yes—
98#2748C2212yes—
99#2746C2212yes—
100#2745C2212yes—
101#2744C2212yes—
102#2741C2212yes—
103#2741C2212yes—
104#2739C2212yes—
105#2737C2212yes—
106#2734C2211yescharacteristic
107#2733C2211yescharacteristic
108#2732C2211yescharacteristic
109#2732C2211yescharacteristic
110#2731C2212yes—
111#2728C2212yes—
112#2727C2211yescharacteristic
113#2726C2211yescharacteristic
114#2726C2211yescharacteristic
115#2724C2211yescharacteristic
116#2723C2212yes—
117#2721C2212yes—
118#2717C2212yes—
119#2716C2212yes—
120#2713C2212yes—
121#2713C2212yes—
122#2712C2212yes—
123#2711C2212yes—
124#2709C2212yes—
125#2707C2212yes—
126#2707C2212yes—
127#2706C2212yes—
128#2704C2212yes—
129#2703C2212yes—
130#2702C2212yes—
131#2702C2212yes—
132#2701C2212yes—
133#2700C2212yes—
134#2699C2212yes—
135#2692C2212yes—
136#2688C2212yes—
137#2686C2212yes—
138#2683C2211yescharacteristic
139#2682C2211yescharacteristic
140#2680C2212yes—
141#2677C2212yes—
142#2677C2212yes—
143#2674C2212yes—
144#2674C2212yes—
145#2674C2212yes—
146#2673C2212yes—
147#2672C2212yes—
148#2671C2212yes—
149#2667C2212yes—
150#2666C2212yes—
151#2666C2212yes—
152#2665C2212yes—
153#2664C2212yes—
154#2662C2212yes—
155#2655C2212yes—
156#2653C2212yes—
157#2653C2212yes—
158#2651C2212yes—
159#2649C2212yes—
160#2649C2212yes—
161#2636C2212yes—
162#2633C2212yes—
163#2631C2212yes—
164#2630C2212yes—
165#2611C2212yes—
166#2611C2212yes—
167#2610C2212yes—
168#2609C2212yes—
169#2607C2212yes—
170#2604C2212yes—
171#2603C2212yes—
172#2602C2212yes—
173#2602C2212yes—
174#2602C2212yes—
175#2601C2212yes—
176#2601C2212yes—
177#2601C2212yes—
178#2601C2212yes—
179#2600C2212yes—
180#2599C2212yes—
181#2599C2212yes—
182#2599C2212yes—
183#2597C2212yes—
184#2597C2212yes—
185#2596C2212yes—
186#2596C2212yes—
187#2594C2212yes—
188#2590C2212yes—
189#2590C2212yes—
190#2590C2212yes—
191#2589C2212yes—
192#2589C2212yes—
193#2588C2212yes—
194#2587C2212yes—
195#2587C2212yes—
196#2586C2212yes—
197#2585C2212yes—
198#2585C2212yes—
199#2583C2212yes—
200#2579C2212yes—
201#2577C2212yes—
202#2576C2212yes—
203#2575C2212yes—
204#2574C2212yes—
205#2573C2212yes—
206#2564C2212yes—
207#2560C2212yes—
208#2557C2212yes—
209#2557C2212yes—
210#2556C2212yes—
211#2556C2212yes—
212#2554C2212yes—
213#2553C2212yes—
214#2553C2212yes—
215#2553C2212yes—
216#2550C2212yes—
217#2549C2212yes—
218#2549C2212yes—
219#2532C2212yes—
220#2532C2212yes—
221#2530C2212yes—
222#2530C2212yes—
223#2529C2212yes—
224#2528C2212yes—
225#2527C2212yes—
226#2527C2212yes—
227#2527C2212yes—
228#2524C2212yes—
229#2523C2212yes—
230#2522C2212yes—
231#2522C2212yes—
232#2521C2212yes—
233#2520C2212yes—
234#2520C2212yes—
235#2520C2212yes—
236#2519C2212yes—
237#2518C2212yes—
238#2517C2212yes—
239#2505C2212yes—
240#2505C2212yes—
241#2488C2212yes—
242#2479C2212yes—
243#2479C2212yes—
244#2478C2212yes—
245#2478C2212yes—
246#2477C2212yes—
247#2475C2212yes—
248#2473C2212yes—
249#2471C2212yes—
250#2470C2212yes—
251#2469C2212yes—
252#2469C2212yes—
253#2469C2212yes—
254#2468C2212yes—
255#2468C2212yes—
256#2468C2212yes—
257#2467C2212yes—
258#2467C2212yes—
259#2466C2212yes—
260#2466C2212yes—
261#2466C2212yes—
262#2465C2212yes—
263#2465C2212yes—
264#2463C2212yes—
265#2463C2212yes—
266#2462C2212yes—
267#2462C2212yes—
268#2462C2212yes—
269#2462C2212yes—
270#2461C2212yes—
271#2461C2212yes—
272#2461C2212yes—
273#2460C2212yes—
274#2460C2212yes—
275#2460C2212yes—
276#2459C2212yes—
277#2459C2212yes—
278#2459C2212yes—
279#2458C2212yes—
280#2458C2212yes—
281#2457C2212yes—
282#2456C2212yes—
283#2455C2212yes—
284#2455C2212yes—
285#2452C2212yes—
286#2451C2212yes—
287#2451C2212yes—
288#2450C2212yes—
289#2450C2212yes—
290#2450C2212yes—
291#2449C2212yes—
292#2449C2212yes—
293#2449C2212yes—
294#2443C2212yes—
295#2432C2212yes—
296#2430C2212yes—
297#2429C2212yes—
298#2427C2212yes—
299#2425C2212yes—
300#2425C2212yes—
301#2425C2212yes—
302#2419C2212yes—
303#2407C2212yes—
304#2406C2212yes—
305#2378C2212yes—
306#2377C2212yes—
307#2376C2212yes—
308#2373C2212yes—
309#2373C2212yes—
310#2370C2212yes—
311#2368C2212yes—
312#2367C2212yes—
313#2367C2212yes—
314#2365C2212yes—
315#2364C2212yes—
316#2364C2212yes—
317#2363C2212yes—
318#2362C2212yes—
319#2362C2212yes—
320#2362C2212yes—
321#2361C2212yes—
322#2360C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2359C2212yes—
328#2359C2212yes—
329#2359C2212yes—
330#2352C2212yes—
331#2347C2212yes—
332#2343C2212yes—
333#2343C2212yes—
334#2337C2212yes—
335#2337C2212yes—
336#2337C2212yes—
337#2336C2212yes—
338#2336C2212yes—
339#2335C2212yes—
340#2335C2212yes—
341#2335C2212yes—
342#2329C2212yes—
343#2329C2212yes—
344#2325C2212yes—
345#2324C2212yes—
346#2324C2212yes—
347#2323C2212yes—
348#2318C2212yes—
349#2318C2212yes—
350C4×C4⋊Q8C2211yescharacteristic
351C4×C4⋊Q8C2211yescharacteristic
352C4×C4⋊Q8C2211yescharacteristic
353C4×C4⋊Q8C2211yescharacteristic
354C4×#127C2211yescharacteristic
355C4×#127C2211yescharacteristic
356C4×#125C2211yescharacteristic
357C4×#125C2212yes—
358C4×#126C2212yes—
359C4×#124C2211yescharacteristic
360C4×#124C2212yes—
361C4×#124C2212yes—
362C4×C22⋊Q8C2211yescharacteristic
363C4×C22⋊Q8C2211yescharacteristic
364C4×C22⋊Q8C2212yes—
365C4×C22⋊Q8C2211yescharacteristic
366C4×C22⋊Q8C2212yes—
367C4×#123C2212yes—
368C4×#123C2212yes—
369C4×#121C2211yescharacteristic
370C4×#121C2212yes—
371C4×#121C2212yes—
372C4×#121C2211yescharacteristic
373C4×#121C2211yescharacteristic
374C4×#121C2211yescharacteristic
375C4×#121C2211yescharacteristic
376#2298C2212yes—
377#2297C2212yes—
378#2295C2211yescharacteristic
379#2295C2211yescharacteristic
380#2295C2212yes—
381#2295C2211yescharacteristic
382#2293C2211yescharacteristic
383#2293C2211yescharacteristic
384#2293C2211yescharacteristic
385#2293C2212yes—
386#2290C2212yes—
387#2290C2212yes—
388C2×#387C2212yes—
389#2285C2211yescharacteristic
390#2283C2212yes—
391C42×D4C2212yes—
392C42×D4C2211yescharacteristic
393C42×D4C2211yescharacteristic
394C2×C43C2211yescharacteristic
395C22×#41C2312yes—
396#562—216no—
397#556—48no—
398#552—48no—
399#532—28no—
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×#127C2311yescharacteristic
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#125C2311yescharacteristic
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#124C2311yescharacteristic
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2311yescharacteristic
443C2×C22⋊Q8C2311yescharacteristic
444C2×C22⋊Q8C2311yescharacteristic
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2311yescharacteristic
458C4×#41—48no—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500C22×C42C2311yescharacteristic
501C22×C42C2311yescharacteristic
502C22×C42C2312yes—
503C22×C42C2312yes—
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507#401C2312yes—
508#401C2312yes—
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#400C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
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#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#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#391C2311yescharacteristic
668#391C2312yes—
669#391C2312yes—
670#391C2311yescharacteristic
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2312yes—
696#391C2312yes—
697#390C2312yes—
698#390C2311yescharacteristic
699#390C2312yes—
700#390C2312yes—
701#390C2311yescharacteristic
702#390C2311yescharacteristic
703#390C2312yes—
704#390C2311yescharacteristic
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2311yescharacteristic
711#390C2311yescharacteristic
712#390C2311yescharacteristic
713#390C2312yes—
714#390C2311yescharacteristic
715#389C2312yes—
716#389C2312yes—
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2312yes—
720#389C2311yescharacteristic
721#389C2312yes—
722#389C2311yescharacteristic
723#389C2312yes—
724#389C2311yescharacteristic
725#389C2312yes—
726#389C2312yes—
727#389C2311yescharacteristic
728#389C2311yescharacteristic
729#389C2311yescharacteristic
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2311yescharacteristic
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2312yes—
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#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#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#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#386C2312yes—
940#386C2312yes—
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#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#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#385C2312yes—
1018#385C2312yes—
1019#384C2311yescharacteristic
1020#384C2311yescharacteristic
1021#384C2311yescharacteristic
1022#384C2311yescharacteristic
1023#383C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#382C2311yescharacteristic
1030#382C2312yes—
1031#382C2311yescharacteristic
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2311yescharacteristic
1064#380C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊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⋊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—
1133#376C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C43C2311yescharacteristic
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C2×#41—28no—
1148C2×#41—44no—
1149C2×#41—44no—
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2411yescharacteristic
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2411yescharacteristic
1173C23×C4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2411yescharacteristic
1189C4⋊Q8—24no—
1190C4⋊Q8—42no—
1191C4⋊Q8—42no—
1192C4⋊Q8—44no—
1193C4⋊Q8—44no—
1194#127—24no—
1195#126—28no—
1196#126—44no—
1197#126—44no—
1198#126—44no—
1199#126—44no—
1200#126—44no—
1201#126—44no—
1202#125—28no—
1203#125—24no—
1204#125—44no—
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#124—28no—
1209#124—28no—
1210#124—28no—
1211#124—24no—
1212#124—44no—
1213#124—44no—
1214#123—28no—
1215#123—28no—
1216#123—28no—
1217#123—28no—
1218#123—44no—
1219#123—44no—
1220#123—44no—
1221#123—44no—
1222#123—44no—
1223#123—44no—
1224#123—44no—
1225C22⋊Q8—28no—
1226C22⋊Q8—28no—
1227C22⋊Q8—28no—
1228C22⋊Q8—28no—
1229C22⋊Q8—44no—
1230C22⋊Q8—44no—
1231C22⋊Q8—44no—
1232C22⋊Q8—44no—
1233C22⋊Q8—44no—
1234C22⋊Q8—44no—
1235C22⋊Q8—42no—
1236C22⋊Q8—42no—
1237C22⋊Q8—42no—
1238C22⋊Q8—44no—
1239#121—28no—
1240#121—28no—
1241#121—28no—
1242#121—28no—
1243#121—24no—
1244#121—42no—
1245#121—44no—
1246#121#4118yes—
1247C4×Q8—24no—
1248C4×Q8—24no—
1249C4×Q8—42no—
1250C4×Q8—44no—
1251C4×Q8—44no—
1252C4×Q8—44no—
1253C4×Q8—44no—
1254C4×Q8—44no—
1255C4×D4—24no—
1256C4×D4—24no—
1257C4×D4—28no—
1258C4×D4—28no—
1259C4×D4—42no—
1260C4×D4—42no—
1261C4×D4—42no—
1262C4×D4—42no—
1263C4×D4—42no—
1264C4×D4—44no—
1265C4×D4—44no—
1266C4×D4—44no—
1267C4×D4—44no—
1268C4×D4—44no—
1269C4×D4—44no—
1270C4×D4—44no—
1271C4×D4—44no—
1272C4×D4—44no—
1273C4×D4—44no—
1274C4×D4—44no—
1275C4×D4—44no—
1276#117—28no—
1277#117—28no—
1278#117—44no—
1279#117—44no—
1280#117—44no—
1281#117—44no—
1282#117—44no—
1283#117—44no—
1284C2×C4⋊C4—44no—
1285C2×C4⋊C4—44no—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊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⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2411yescharacteristic
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2411yescharacteristic
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⋊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×C42—24no—
1448C2×C42—24no—
1449C2×C42—24no—
1450C2×C42—44no—
1451C2×C42—44no—
1452C2×C42—42no—
1453C2×C42—42no—
1454C2×C42—42no—
1455C2×C42—42no—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2411yescharacteristic
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2412yes—
1472C2×C42C2411yescharacteristic
1473C2×C42C2411yescharacteristic
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×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2411yescharacteristic
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
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—
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—
1611C24C2512yes—
1612C24C2512yes—
1613C24C2512yes—
1614C24C2511yescharacteristic
1615#41—432no—
1616C2×Q8—24no—
1617C2×Q8—24no—
1618C2×Q8—24no—
1619C2×Q8—22no—
1620C2×Q8—22no—
1621C2×Q8—22no—
1622C2×Q8—24no—
1623C2×Q8—42no—
1624C2×Q8—42no—
1625C2×Q8—42no—
1626C2×Q8—41no—
1627C2×Q8—42no—
1628C2×Q8—41no—
1629C2×Q8—41no—
1630C2×Q8—41no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—41no—
1635C2×Q8—41no—
1636C2×Q8—42no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—22no—
1644C2×D4—24no—
1645C2×D4—22no—
1646C2×D4—24no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—41no—
1651C2×D4—41no—
1652C2×D4—42no—
1653C2×D4—41no—
1654C2×D4—41no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—41no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—41no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4C2×#4114yes—
1672C2×D4C2×#4118yes—
1673C22×C4—22no—
1674C22×C4—22no—
1675C22×C4—22no—
1676C22×C4—22no—
1677C22×C4—24no—
1678C22×C4—24no—
1679C22×C4—24no—
1680C22×C4—24no—
1681C22×C4—22no—
1682C22×C4—22no—
1683C22×C4—24no—
1684C22×C4—24no—
1685C22×C4—22no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—22no—
1689C22×C4—22no—
1690C22×C4—22no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—24no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—41no—
1698C22×C4—41no—
1699C22×C4—41no—
1700C22×C4—41no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
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×C4C2×#4114yes—
1733C22×C4C2511yescharacteristic
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2511yescharacteristic
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×C4C2511yescharacteristic
1756C22×C4C2511yescharacteristic
1757C22×C4C2512yes—
1758C22×C4C2511yescharacteristic
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C22×C4C2511yescharacteristic
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C22×C4C2511yescharacteristic
1765C22×C4C2511yescharacteristic
1766C22×C4C2511yescharacteristic
1767C22×C4C2511yescharacteristic
1768C4⋊C4—24no—
1769C4⋊C4—22no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—22no—
1788C4⋊C4—22no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—22no—
1792C4⋊C4—22no—
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—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—41no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—41no—
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—41no—
1832C4⋊C4—41no—
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—41no—
1853C4⋊C4—41no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4C2×#4114yes—
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—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—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⋊C4C2×#4118yes—
1929C42—22no—
1930C42—22no—
1931C42—22no—
1932C42—22no—
1933C42—24no—
1934C42—22no—
1935C42—22no—
1936C42—22no—
1937C42—24no—
1938C42—24no—
1939C42—24no—
1940C42—24no—
1941C42—22no—
1942C42—22no—
1943C42—22no—
1944C42—22no—
1945C42—22no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—22no—
1950C42—22no—
1951C42—22no—
1952C42—24no—
1953C42—41no—
1954C42—41no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—41no—
1959C42—41no—
1960C42—41no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42H(5,𝔽2)14yes—
1979C422−1+414yes—
1980C23—22no—
1981C23—21no—
1982C23—22no—
1983C23—21no—
1984C23—22no—
1985C23—22no—
1986C23—21no—
1987C23—22no—
1988C23—21no—
1989C23—21no—
1990C23—22no—
1991C23—21no—
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—
2006C23C22×#4112yes—
2007C23C22×#4114yes—
2008C23C2611yescharacteristic
2009Q8—48no—
2010Q8—82no—
2011Q8—82no—
2012Q8—84no—
2013Q8—84no—
2014Q8—82no—
2015Q8—84no—
2016D4—44no—
2017D4—48no—
2018D4—48no—
2019D4—48no—
2020D4—44no—
2021D4—48no—
2022D4—82no—
2023D4—84no—
2024D4—84no—
2025D4—84no—
2026D4—84no—
2027D4—84no—
2028C2×C4—28no—
2029C2×C4—21no—
2030C2×C4—21no—
2031C2×C4—21no—
2032C2×C4—21no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—21no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—21no—
2043C2×C4—21no—
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—22no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
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—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—21no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—22no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—21no—
2093C2×C4—22no—
2094C2×C4—22no—
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—22no—
2104C2×C4—22no—
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—44no—
2122C2×C4—44no—
2123C2×C4—44no—
2124C2×C4—44no—
2125C2×C4—48no—
2126C2×C4—44no—
2127C2×C4—48no—
2128C2×C4—44no—
2129C2×C4—84no—
2130C2×C4—84no—
2131C2×C4—84no—
2132C2×C4—84no—
2133C2×C4—84no—
2134C2×C4—84no—
2135C2×C4—84no—
2136C2×C4—84no—
2137C2×C4—84no—
2138C2×C4—84no—
2139C2×C4—84no—
2140C2×C4C22×#4112yes—
2141C2×C4C22×#4112yes—
2142C2×C4C22×#4114yes—
2143C2×C4C2×H(5,𝔽2)12yes—
2144C2×C4C2×H(5,𝔽2)12yes—
2145C2×C4C2×H(5,𝔽2)12yes—
2146C2×C4C2×2−1+412yes—
2147C2×C4C2×2−1+412yes—
2148C2×C4C2×2−1+412yes—
2149C2×C4#58512yes—
2150C2×C4#58512yes—
2151C2×C4#58512yes—
2152C2×C4#58512yes—
2153C22—22no—
2154C22—24no—
2155C22—22no—
2156C22—24no—
2157C22—22no—
2158C22—24no—
2159C22—41no—
2160C22—42no—
2161C22—41no—
2162C22—42no—
2163C22—41no—
2164C22—42no—
2165C22—41no—
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—
2181C22C23×#4111yescharacteristic
2182C22C22×H(5,𝔽2)11yescharacteristic
2183C22C22×2−1+411yescharacteristic
2184C22C2×#58511yescharacteristic
2185C22C2×#58511yescharacteristic
2186C22C2×#58511yescharacteristic
2187C22C2×#58511yescharacteristic
2188C4—22no—
2189C4—22no—
2190C4—22no—
2191C4—22no—
2192C4—22no—
2193C4—24no—
2194C4—22no—
2195C4—22no—
2196C4—22no—
2197C4—22no—
2198C4—22no—
2199C4—22no—
2200C4—22no—
2201C4—42no—
2202C4—41no—
2203C4—42no—
2204C4—42no—
2205C4—42no—
2206C4—42no—
2207C4—42no—
2208C4—42no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—42no—
2218C4—41no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C2—42no—
2224C2—44no—
2225C2—82no—
2226C2—82no—
2227C2#6274311yescharacteristic
2228C2#6274811yescharacteristic
2229C2#6277311yescharacteristic
2230C2#6278111yescharacteristic
2231C2#6280511yescharacteristic
2232C2#6283111yescharacteristic
2233C2#6283511yescharacteristic
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. #60013C2semidirect
2. #59995C2semidirect
3. #59900C2semidirect
4. #59840C2semidirect
5. #45807C2semidirect
6. #45800C2semidirect
7. #45792C2semidirect
8. #45784C2semidirect
9. #45775C2semidirect
10. #45760C2semidirect
11. #40439C2semidirect
12. #40438C2semidirect
13. #40351C2semidirect
14. #40316C2semidirect
15. #39701C2semidirect
16. #39700C2semidirect
17. #39573C2semidirect
18. #39572C2semidirect
19. #38870C2semidirect
20. #38836C2semidirect
21. #38473C2semidirect
22. #38472C2semidirect
23. #38435C2semidirect
24. #38434C2semidirect
25. #37993C2semidirect
26. #37992C2semidirect
27. #37534C2semidirect
28. #37071C2semidirect
29. #37050C2semidirect
30. #36638C2semidirect
31. #36635C2semidirect
32. #36443C2semidirect
33. #36326C2semidirect
34. #36323C2semidirect
35. #36227C2semidirect
36. #35048C2semidirect
37. #35018C2semidirect
38. #34513C2semidirect
39. C4×#532C2semidirect

Maximal subgroups

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

subgroupindex
#600132
#599952
#599002
#598402
#458072
#458002
#457922
#457842
#457752
#457602
#404392
#404382
#403512
#403162
#397012
#397002
#395732
#395722
#388702
#388362
#384732
#384722
#384352
#384342
#379932
#379922
#375342
#370712
#370502
#366382
#366352
#364432
#363262
#363232
#362272
#350482
#350182
#345132
C4×#5322