Finite Group Databasebeta

← #7671039

Subgroups — #7671039

Order 512.

4754 conjugacy classes of subgroups.

The subgroup lattice has 2168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59967C212yesmaximal, complemented
2#59965C212yesmaximal, complemented
3#59955C212yesmaximal, complemented
4#59948C212yesmaximal, complemented
5#59927C211yesmaximal, characteristic, complemented
6#59926C211yesmaximal, characteristic, complemented
7#59878C211yesmaximal, characteristic, complemented
8#59877C211yesmaximal, characteristic, complemented
9#59706C212yesmaximal, complemented
10#59688C212yesmaximal, complemented
11#38691C212yesmaximal, complemented
12#38682C212yesmaximal, complemented
13#38659C212yesmaximal, complemented
14#38651C212yesmaximal, complemented
15#38493C211yesmaximal, characteristic, complemented
16#38486C211yesmaximal, characteristic
17#38473C211yesmaximal, characteristic, complemented
18#38467C211yesmaximal, characteristic, complemented
19#38455C211yesmaximal, characteristic, complemented
20#38446C211yesmaximal, characteristic, complemented
21#38435C211yesmaximal, characteristic, complemented
22#38427C211yesmaximal, characteristic, complemented
23#36638C211yesmaximal, characteristic, complemented
24#36359C212yesmaximal, complemented
25#36355C212yesmaximal, complemented
26#36353C212yesmaximal, complemented
27#36351C212yesmaximal, complemented
28#36308C212yesmaximal, complemented
29#36284C212yesmaximal, complemented
30#36233C212yesmaximal, complemented
31#36227C212yesmaximal, complemented
32#35511C212yesmaximal, complemented
33#35509C212yesmaximal, complemented
34#35128C212yesmaximal, complemented
35#35058C212yesmaximal, complemented
36#34307C212yesmaximal, complemented
37#34304C212yesmaximal, complemented
38#34026C211yesmaximal, characteristic, complemented
39C2×#2295C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#552C2212yes—
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2866C2212yes—
45#2866C2212yes—
46#2865C2212yes—
47#2864C2211yescharacteristic
48#2864C2212yes—
49#2863C2211yescharacteristic
50#2861C2211yescharacteristic
51#2860C2211yescharacteristic
52#2855C2211yescharacteristic
53#2854C2212yes—
54#2854C2211yescharacteristic
55#2853C2212yes—
56#2853C2212yes—
57#2852C2212yes—
58#2852C2212yes—
59#2852C2212yes—
60#2851C2211yescharacteristic
61#2851C2212yes—
62#2850C2211yescharacteristic
63#2850C2212yes—
64#2809C2212yes—
65#2808C2211yescharacteristic
66#2808C2211yescharacteristic
67#2806C2211yescharacteristic
68#2806C2211yescharacteristic
69#2806C2211yescharacteristic
70#2806C2211yescharacteristic
71#2805C2211yescharacteristic
72#2805C2211yescharacteristic
73#2804C2211yescharacteristic
74#2800C2212yes—
75#2798C2212yes—
76#2796C2212yes—
77#2795C2212yes—
78#2791C2212yes—
79#2783C2212yes—
80#2777C2212yes—
81#2776C2212yes—
82#2775C2212yes—
83#2775C2212yes—
84#2774C2212yes—
85#2772C2212yes—
86#2771C2212yes—
87#2762C2212yes—
88#2759C2212yes—
89#2755C2212yes—
90#2747C2212yes—
91#2734C2211yescharacteristic
92#2733C2211yescharacteristic
93#2731C2212yes—
94#2727C2211yescharacteristic
95#2727C2211yescharacteristic
96#2726C2211yescharacteristic
97#2726C2211yescharacteristic
98#2725C2212yes—
99#2713C2212yes—
100#2710C2212yes—
101#2704C2212yes—
102#2702C2212yes—
103#2683C2211yescharacteristic
104#2666C2212yes—
105#2666C2212yes—
106#2664C2212yes—
107#2662C2212yes—
108#2653C2212yes—
109#2652C2212yes—
110#2651C2212yes—
111#2650C2212yes—
112#2612C2212yes—
113#2612C2212yes—
114#2612C2212yes—
115#2612C2212yes—
116#2612C2212yes—
117#2612C2212yes—
118#2611C2212yes—
119#2611C2212yes—
120#2610C2212yes—
121#2610C2212yes—
122#2609C2212yes—
123#2606C2212yes—
124#2606C2212yes—
125#2605C2212yes—
126#2604C2212yes—
127#2604C2212yes—
128#2604C2212yes—
129#2604C2212yes—
130#2604C2212yes—
131#2602C2212yes—
132#2601C2212yes—
133#2601C2212yes—
134#2601C2212yes—
135#2599C2212yes—
136#2599C2212yes—
137#2599C2212yes—
138#2597C2212yes—
139#2596C2212yes—
140#2596C2212yes—
141#2595C2212yes—
142#2595C2212yes—
143#2594C2212yes—
144#2594C2212yes—
145#2594C2212yes—
146#2593C2212yes—
147#2593C2212yes—
148#2590C2212yes—
149#2590C2212yes—
150#2589C2212yes—
151#2589C2212yes—
152#2589C2212yes—
153#2588C2212yes—
154#2588C2212yes—
155#2588C2212yes—
156#2587C2212yes—
157#2587C2212yes—
158#2587C2212yes—
159#2587C2212yes—
160#2586C2212yes—
161#2585C2212yes—
162#2585C2212yes—
163#2585C2212yes—
164#2584C2212yes—
165#2581C2212yes—
166#2581C2212yes—
167#2579C2212yes—
168#2574C2212yes—
169#2574C2212yes—
170#2574C2212yes—
171#2573C2212yes—
172#2558C2212yes—
173#2557C2212yes—
174#2554C2212yes—
175#2553C2212yes—
176#2550C2212yes—
177#2549C2212yes—
178#2545C2212yes—
179#2543C2212yes—
180#2533C2212yes—
181#2533C2212yes—
182#2533C2212yes—
183#2533C2212yes—
184#2533C2212yes—
185#2532C2212yes—
186#2532C2212yes—
187#2532C2212yes—
188#2532C2212yes—
189#2532C2212yes—
190#2531C2212yes—
191#2531C2212yes—
192#2530C2212yes—
193#2530C2212yes—
194#2530C2212yes—
195#2529C2212yes—
196#2529C2212yes—
197#2529C2212yes—
198#2529C2212yes—
199#2529C2212yes—
200#2529C2212yes—
201#2528C2212yes—
202#2528C2212yes—
203#2528C2212yes—
204#2528C2212yes—
205#2527C2212yes—
206#2526C2212yes—
207#2526C2212yes—
208#2525C2212yes—
209#2524C2212yes—
210#2523C2212yes—
211#2522C2212yes—
212#2522C2212yes—
213#2510C2212yes—
214#2509C2212yes—
215#2507C2212yes—
216#2505C2212yes—
217#2505C2212yes—
218#2498C2212yes—
219#2493C2212yes—
220#2488C2212yes—
221#2488C2212yes—
222#2488C2212yes—
223#2481C2212yes—
224#2481C2212yes—
225#2481C2212yes—
226#2478C2212yes—
227#2475C2212yes—
228#2474C2212yes—
229#2474C2212yes—
230#2473C2212yes—
231#2470C2212yes—
232#2470C2212yes—
233#2469C2212yes—
234#2469C2212yes—
235#2469C2212yes—
236#2469C2212yes—
237#2467C2212yes—
238#2467C2212yes—
239#2465C2212yes—
240#2465C2212yes—
241#2465C2212yes—
242#2465C2212yes—
243#2463C2212yes—
244#2462C2212yes—
245#2462C2212yes—
246#2460C2212yes—
247#2460C2212yes—
248#2450C2212yes—
249#2449C2212yes—
250#2449C2212yes—
251#2448C2212yes—
252#2446C2212yes—
253#2443C2212yes—
254#2443C2212yes—
255#2441C2212yes—
256#2439C2212yes—
257#2439C2212yes—
258#2438C2212yes—
259#2438C2212yes—
260#2436C2212yes—
261#2434C2212yes—
262#2430C2212yes—
263#2425C2212yes—
264#2425C2212yes—
265#2425C2212yes—
266#2425C2212yes—
267#2413C2212yes—
268#2413C2212yes—
269#2413C2212yes—
270#2413C2212yes—
271#2406C2212yes—
272#2374C2212yes—
273#2373C2212yes—
274#2373C2212yes—
275#2373C2212yes—
276#2373C2212yes—
277#2373C2212yes—
278#2373C2212yes—
279#2372C2212yes—
280#2372C2212yes—
281#2372C2212yes—
282#2371C2212yes—
283#2370C2212yes—
284#2370C2212yes—
285#2370C2212yes—
286#2370C2212yes—
287#2369C2212yes—
288#2367C2212yes—
289#2365C2212yes—
290#2364C2212yes—
291#2362C2212yes—
292#2361C2212yes—
293#2360C2212yes—
294#2360C2212yes—
295#2360C2212yes—
296#2360C2212yes—
297#2359C2212yes—
298#2359C2212yes—
299#2359C2212yes—
300#2359C2212yes—
301#2359C2212yes—
302#2356C2212yes—
303#2356C2212yes—
304#2356C2212yes—
305#2355C2212yes—
306#2353C2212yes—
307#2352C2212yes—
308D4×C4⋊C4C2212yes—
309#2347C2212yes—
310#2347C2212yes—
311#2346C2212yes—
312#2346C2212yes—
313#2346C2212yes—
314#2344C2212yes—
315#2343C2212yes—
316#2343C2212yes—
317#2343C2212yes—
318#2337C2212yes—
319#2337C2212yes—
320#2336C2212yes—
321#2336C2212yes—
322#2335C2212yes—
323#2334C2212yes—
324#2334C2212yes—
325#2334C2212yes—
326#2334C2212yes—
327#2334C2212yes—
328#2331C2212yes—
329#2330C2212yes—
330#2323C2212yes—
331#2323C2212yes—
332C4×#125C2211yescharacteristic
333C4×#126C2212yes—
334C4×#126C2212yes—
335C4×#124C2211yescharacteristic
336C4×C22⋊Q8C2212yes—
337C4×C22⋊Q8C2212yes—
338C4×C22⋊Q8C2211yescharacteristic
339C4×#123C2212yes—
340C4×#123C2212yes—
341C4×#121C2211yescharacteristic
342#2298C2212yes—
343#2298C2212yes—
344#2298C2212yes—
345#2297C2211yescharacteristic
346#2297C2211yescharacteristic
347#2296C2211yescharacteristic
348#2296C2212yes—
349#2296C2211yescharacteristic
350#2295C2211yescharacteristic
351#2295C2212yes—
352#2295C2212yes—
353#2295C2211yescharacteristic
354#2295C2212yes—
355#2295C2211yescharacteristic
356#2295C2211yescharacteristic
357#2295C2211yescharacteristic
358#2295C2211yescharacteristic
359#2295C2211yescharacteristic
360#2295C2211yescharacteristic
361#2295C2211yescharacteristic
362#2295C2211yescharacteristic
363#2295C2212yes—
364#2295C2211yescharacteristic
365#2295C2211yescharacteristic
366#2295C2212yes—
367#2295C2211yescharacteristic
368C2×#391C2211yescharacteristic
369C2×#391C2211yescharacteristic
370#2293C2211yescharacteristic
371#2293C2211yescharacteristic
372#2293C2211yescharacteristic
373#2293C2211yescharacteristic
374#2293C2211yescharacteristic
375C2×#389C2211yescharacteristic
376C2×#389C2211yescharacteristic
377#2290C2212yes—
378#2290C2212yes—
379#2290C2212yes—
380#2290C2212yes—
381#2290C2212yes—
382#2290C2212yes—
383#2290C2212yes—
384C2×#387C2212yes—
385C2×#387C2212yes—
386#2276C2212yes—
387#2274C2212yes—
388C4×#117C2212yes—
389C4×#117C2212yes—
390C4×#117C2211yescharacteristic
391C2×C4×C4⋊C4C2212yes—
392C2×C4×C4⋊C4C2211yescharacteristic
393C2×#376C2212yes—
394C2×C43C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397#556—216no—
398#552—216no—
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#125C2311yescharacteristic
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#124C2311yescharacteristic
416C2×#124C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C4×#41—28no—
434C2×C4×Q8—28no—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2311yescharacteristic
476C22×C4⋊C4C2311yescharacteristic
477C22×C42C2311yescharacteristic
478C22×C42C2312yes—
479C22×C42C2312yes—
480C22×C42C2311yescharacteristic
481C22×C42C2311yescharacteristic
482C22×C42C2312yes—
483C22×C42C2311yescharacteristic
484C22×C42C2311yescharacteristic
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487#401C2312yes—
488#401C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#395C2312yes—
582#395C2312yes—
583#395C2312yes—
584#395C2312yes—
585#395C2312yes—
586#395C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#394C2312yes—
595#394C2312yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#393C2312yes—
605#393C2312yes—
606#393C2312yes—
607#393C2312yes—
608#393C2312yes—
609#393C2312yes—
610#393C2312yes—
611#393C2312yes—
612#393C2312yes—
613#392C2312yes—
614#392C2312yes—
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2311yescharacteristic
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2312yes—
632#391C2311yescharacteristic
633#391C2312yes—
634#391C2312yes—
635#391C2311yescharacteristic
636#391C2311yescharacteristic
637#391C2312yes—
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2311yescharacteristic
642#391C2311yescharacteristic
643#391C2311yescharacteristic
644#391C2312yes—
645#391C2311yescharacteristic
646#391C2311yescharacteristic
647#391C2311yescharacteristic
648#391C2311yescharacteristic
649#391C2311yescharacteristic
650#391C2311yescharacteristic
651#390C2312yes—
652#390C2311yescharacteristic
653#390C2312yes—
654#390C2312yes—
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#390C2311yescharacteristic
658#390C2311yescharacteristic
659#390C2312yes—
660#390C2311yescharacteristic
661#390C2311yescharacteristic
662#390C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2311yescharacteristic
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2311yescharacteristic
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2311yescharacteristic
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2311yescharacteristic
709#389C2312yes—
710#389C2311yescharacteristic
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2312yes—
720#389C2311yescharacteristic
721#389C2311yescharacteristic
722#389C2311yescharacteristic
723#389C2311yescharacteristic
724#389C2311yescharacteristic
725#389C2311yescharacteristic
726#389C2311yescharacteristic
727#389C2311yescharacteristic
728#389C2312yes—
729#389C2311yescharacteristic
730#389C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2311yescharacteristic
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#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#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#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#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
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#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#384C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2311yescharacteristic
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2311yescharacteristic
1009#382C2312yes—
1010#382C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2311yescharacteristic
1020#380C2311yescharacteristic
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2311yescharacteristic
1033C4×C4⋊C4C2311yescharacteristic
1034C4×C4⋊C4C2311yescharacteristic
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2311yescharacteristic
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊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⋊C4C2312yes—
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—
1111#376C2312yes—
1112#376C2312yes—
1113#376C2312yes—
1114#376C2312yes—
1115#376C2312yes—
1116#376C2312yes—
1117#376C2312yes—
1118#376C2312yes—
1119#376C2312yes—
1120#376C2312yes—
1121#376C2312yes—
1122#376C2312yes—
1123#376C2312yes—
1124#376C2312yes—
1125#376C2312yes—
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129#376C2312yes—
1130C2×#95C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C43C2311yescharacteristic
1138C43C2312yes—
1139C43C2311yescharacteristic
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—42no—
1148C2×#41—42no—
1149C22×Q8—24no—
1150C22×Q8—42no—
1151C22×Q8—42no—
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2411yescharacteristic
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2411yescharacteristic
1164C22×D4C2412yes—
1165C23×C4C2411yescharacteristic
1166C23×C4C2412yes—
1167C23×C4C2411yescharacteristic
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2411yescharacteristic
1177C23×C4C2411yescharacteristic
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C4⋊Q8—28no—
1183C4⋊Q8—44no—
1184#126—28no—
1185#126—28no—
1186#126—28no—
1187#126—28no—
1188#126—28no—
1189#126—28no—
1190#126—44no—
1191#125—28no—
1192#125—28no—
1193#125—28no—
1194#125—24no—
1195#125—44no—
1196#124—28no—
1197#124—28no—
1198#124—24no—
1199#124—44no—
1200#123—28no—
1201#123—28no—
1202#123—44no—
1203#123—44no—
1204#123—44no—
1205#123—44no—
1206#123—44no—
1207C22⋊Q8—28no—
1208C22⋊Q8—28no—
1209C22⋊Q8—28no—
1210C22⋊Q8—28no—
1211C22⋊Q8—44no—
1212C22⋊Q8—42no—
1213#121—42no—
1214#121—44no—
1215#121—44no—
1216C4×Q8—24no—
1217C4×Q8—28no—
1218C4×Q8—24no—
1219C4×Q8—24no—
1220C4×Q8—24no—
1221C4×Q8—28no—
1222C4×Q8—24no—
1223C4×Q8—28no—
1224C4×Q8—28no—
1225C4×Q8—28no—
1226C4×Q8—42no—
1227C4×Q8—44no—
1228C4×Q8#4118yescomplemented
1229C4×D4—24no—
1230C4×D4—24no—
1231C4×D4—28no—
1232C4×D4—28no—
1233C4×D4—28no—
1234C4×D4—28no—
1235C4×D4—42no—
1236C4×D4—44no—
1237C4×D4—44no—
1238#117—28no—
1239#117—28no—
1240#117—28no—
1241#117—28no—
1242#117—28no—
1243#117—28no—
1244#117—44no—
1245#117—44no—
1246#117—44no—
1247#117—42no—
1248#117—44no—
1249#117—42no—
1250#117#4118yes—
1251C2×C4⋊C4—28no—
1252C2×C4⋊C4—28no—
1253C2×C4⋊C4—24no—
1254C2×C4⋊C4—44no—
1255C2×C4⋊C4—44no—
1256C2×C4⋊C4—42no—
1257C2×C4⋊C4—42no—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊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×C42—24no—
1406C2×C42—24no—
1407C2×C42—28no—
1408C2×C42—28no—
1409C2×C42—24no—
1410C2×C42—42no—
1411C2×C42—42no—
1412C2×C42—42no—
1413C2×C42—44no—
1414C2×C42—42no—
1415C2×C42C2412yes—
1416C2×C42C2411yescharacteristic
1417C2×C42C2411yescharacteristic
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2411yescharacteristic
1427C2×C42C2411yescharacteristic
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2411yescharacteristic
1435C2×C42C2411yescharacteristic
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2411yescharacteristic
1442C2×C42C2411yescharacteristic
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
1458C2×C42C2411yescharacteristic
1459C2×C42C2411yescharacteristic
1460C2×C42C2411yescharacteristic
1461C2×C42C2411yescharacteristic
1462C2×C42C2411yescharacteristic
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2412yes—
1476C2×C42C2411yescharacteristic
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593C24C2512yes—
1594C24C2512yes—
1595C24C2511yescharacteristic
1596#41—416no—
1597C2×Q8—24no—
1598C2×Q8—22no—
1599C2×Q8—22no—
1600C2×Q8—24no—
1601C2×Q8—24no—
1602C2×Q8—24no—
1603C2×Q8—22no—
1604C2×Q8—24no—
1605C2×Q8—42no—
1606C2×Q8—41no—
1607C2×Q8—41no—
1608C2×Q8—42no—
1609C2×Q8—41no—
1610C2×Q8—41no—
1611C2×Q8—41no—
1612C2×Q8—41no—
1613C2×Q8—41no—
1614C2×Q8—41no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—416no—
1618C2×Q8C2×#4114yes—
1619C2×D4—24no—
1620C2×D4—24no—
1621C2×D4—24no—
1622C2×D4—24no—
1623C2×D4—24no—
1624C2×D4—24no—
1625C2×D4—22no—
1626C2×D4—24no—
1627C2×D4—22no—
1628C2×D4—41no—
1629C2×D4—41no—
1630C2×D4—41no—
1631C2×D4—41no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C22×C4—22no—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—22no—
1644C22×C4—22no—
1645C22×C4—22no—
1646C22×C4—22no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—24no—
1650C22×C4—22no—
1651C22×C4—22no—
1652C22×C4—24no—
1653C22×C4—24no—
1654C22×C4—24no—
1655C22×C4—22no—
1656C22×C4—24no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—22no—
1665C22×C4—22no—
1666C22×C4—24no—
1667C22×C4—22no—
1668C22×C4—24no—
1669C22×C4—41no—
1670C22×C4—41no—
1671C22×C4—41no—
1672C22×C4—41no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4C2×#4114yes—
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
1713C22×C4C2511yescharacteristic
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2511yescharacteristic
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2511yescharacteristic
1720C22×C4C2511yescharacteristic
1721C22×C4C2511yescharacteristic
1722C22×C4C2511yescharacteristic
1723C22×C4C2511yescharacteristic
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—22no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—22no—
1759C4⋊C4—22no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—41no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—41no—
1777C4⋊C4—41no—
1778C4⋊C4—41no—
1779C4⋊C4—41no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—41no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4C2×#4118yes—
1814C4⋊C4C2×#4114yes—
1815C4⋊C4C2×#4114yes—
1816C4⋊C4C2×#4114yes—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4C2×#4118yes—
1871C42—22no—
1872C42—22no—
1873C42—22no—
1874C42—22no—
1875C42—24no—
1876C42—24no—
1877C42—22no—
1878C42—24no—
1879C42—22no—
1880C42—24no—
1881C42—22no—
1882C42—24no—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—24no—
1887C42—24no—
1888C42—24no—
1889C42—24no—
1890C42—22no—
1891C42—22no—
1892C42—22no—
1893C42—24no—
1894C42—22no—
1895C42—22no—
1896C42—22no—
1897C42—22no—
1898C42—24no—
1899C42—41no—
1900C42—41no—
1901C42—41no—
1902C42—41no—
1903C42—41no—
1904C42—41no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—41no—
1910C42—41no—
1911C42—41no—
1912C42—41no—
1913C42—41no—
1914C42—41no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42C2×#4118yes—
1930C42C2×#4114yes—
1931C42C2×#4118yes—
1932C422−1+414yes—
1933C23—21no—
1934C23—21no—
1935C23—21no—
1936C23—21no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23C22×#4112yes—
1952C23#58512yes—
1953C23#58512yes—
1954C23C2611yescharacteristic
1955Q8—44no—
1956Q8—48no—
1957Q8—48no—
1958Q8—44no—
1959Q8—44no—
1960Q8—84no—
1961Q8—82no—
1962D4—44no—
1963D4—48no—
1964D4—48no—
1965D4—84no—
1966D4—82no—
1967D4—162no—
1968C2×C4—28no—
1969C2×C4—28no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—28no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—21no—
2025C2×C4—21no—
2026C2×C4—21no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—21no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
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—48no—
2066C2×C4—48no—
2067C2×C4—48no—
2068C2×C4—44no—
2069C2×C4—44no—
2070C2×C4—44no—
2071C2×C4—44no—
2072C2×C4—48no—
2073C2×C4—48no—
2074C2×C4—48no—
2075C2×C4—48no—
2076C2×C4—84no—
2077C2×C4—84no—
2078C2×C4—162no—
2079C2×C4C22×#4112yes—
2080C2×C4C22×#4114yes—
2081C2×C4C22×#4112yes—
2082C2×C4C22×#4114yes—
2083C2×C4C22×#4112yes—
2084C2×C4C22×#4114yes—
2085C2×C4C22×#4114yes—
2086C2×C4C22×#4112yes—
2087C2×C4C22×#4112yes—
2088C2×C4C2×2−1+412yes—
2089C2×C4C2×2−1+412yes—
2090C2×C4C2×2−1+412yes—
2091C2×C4#58512yes—
2092C2×C4#58512yes—
2093C22—22no—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—22no—
2098C22—22no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22#349314yes—
2114C22C23×#4111yescharacteristic
2115C22C23×#4111yescharacteristic
2116C22C22×2−1+411yescharacteristic
2117C22C2×#58511yescharacteristic
2118C22C2×#58511yescharacteristic
2119C22C2×#58511yescharacteristic
2120C22C2×#58511yescharacteristic
2121C4—22no—
2122C4—22no—
2123C4—22no—
2124C4—22no—
2125C4—22no—
2126C4—24no—
2127C4—22no—
2128C4—22no—
2129C4—24no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—24no—
2134C4—24no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—41no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—41no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—41no—
2153C4—42no—
2154C4—41no—
2155C4—42no—
2156C4—42no—
2157C2—24no—
2158C2—82no—
2159C2—82no—
2160C2#41211yescharacteristic
2161C2C2×#349311yescharacteristic
2162C2#6278811yescharacteristic
2163C2#6280511yescharacteristic
2164C2#6281411yescharacteristic
2165C2#6282811yescharacteristic
2166C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38486C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59967C2semidirect
2. #59965C2semidirect
3. #59955C2semidirect
4. #59948C2semidirect
5. #59927C2semidirect
6. #59926C2semidirect
7. #59878C2semidirect
8. #59877C2semidirect
9. #59706C2semidirect
10. #59688C2semidirect
11. #38691C2semidirect
12. #38682C2semidirect
13. #38659C2semidirect
14. #38651C2semidirect
15. #38493C2semidirect
17. #38473C2semidirect
18. #38467C2semidirect
19. #38455C2semidirect
20. #38446C2semidirect
21. #38435C2semidirect
22. #38427C2semidirect
23. #36638C2semidirect
24. #36359C2semidirect
25. #36355C2semidirect
26. #36353C2semidirect
27. #36351C2semidirect
28. #36308C2semidirect
29. #36284C2semidirect
30. #36233C2semidirect
31. #36227C2semidirect
32. #35511C2semidirect
33. #35509C2semidirect
34. #35128C2semidirect
35. #35058C2semidirect
36. #34307C2semidirect
37. #34304C2semidirect
38. #34026C2semidirect
39. C2×#2295C2semidirect
1228. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599672
#599652
#599552
#599482
#599272
#599262
#598782
#598772
#597062
#596882
#386912
#386822
#386592
#386512
#384932
#384862
#384732
#384672
#384552
#384462
#384352
#384272
#366382
#363592
#363552
#363532
#363512
#363082
#362842
#362332
#362272
#355112
#355092
#351282
#350582
#343072
#343042
#340262
C2×#22952