Finite Group Databasebeta

← #7900907

Subgroups — #7900907

Order 512.

4268 conjugacy classes of subgroups.

The subgroup lattice has 2127 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60046C211yesmaximal, characteristic, complemented
2#59969C212yesmaximal, complemented
3#52290C211yesmaximal, characteristic, complemented
4#51497C212yesmaximal
5#51240C212yesmaximal, complemented
6#51234C212yesmaximal, complemented
7#50603C212yesmaximal, complemented
8#50214C212yesmaximal, complemented
9#49610C212yesmaximal, complemented
10#47750C212yesmaximal, complemented
11#47601C212yesmaximal, complemented
12#45959C211yesmaximal, characteristic, complemented
13#45802C211yesmaximal, characteristic, complemented
14#45275C212yesmaximal, complemented
15#44746C212yesmaximal, complemented
16#44714C212yesmaximal, complemented
17#44211C212yesmaximal, complemented
18#44050C212yesmaximal, complemented
19#42179C212yesmaximal, complemented
20#42048C212yesmaximal, complemented
21#41783C212yesmaximal, complemented
22#41080C212yesmaximal, complemented
23#39701C211yesmaximal, characteristic, complemented
24#39496C211yesmaximal, characteristic, complemented
25#38884C212yesmaximal, complemented
26#38783C211yesmaximal, characteristic, complemented
27#38782C211yesmaximal, characteristic, complemented
28#38771C211yesmaximal, characteristic, complemented
29#38738C212yesmaximal, complemented
30#38427C211yesmaximal, characteristic, complemented
31#38311C212yesmaximal, complemented
32#37308C211yesmaximal, characteristic, complemented
33#37256C211yesmaximal, characteristic, complemented
34#36387C211yesmaximal, characteristic, complemented
35#36071C212yesmaximal, complemented
36#35582C212yesmaximal, complemented
37#35036C211yesmaximal, characteristic
38#34482C212yesmaximal, complemented
39#34324C211yesmaximal, characteristic, complemented
40C2×#556C2211yescharacteristic
41C2×#552C2212yes—
42#2866C2212yes—
43#2864C2211yescharacteristic
44#2863C2211yescharacteristic
45#2861C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2854C2211yescharacteristic
49#2851C2211yescharacteristic
50#2838C2212yes—
51#2833C2212yes—
52#2823C2212yes—
53#2814C2212yes—
54#2808C2211yescharacteristic
55#2806C2211yescharacteristic
56#2806C2211yescharacteristic
57#2805C2211yescharacteristic
58#2805C2212yes—
59#2805C2211yescharacteristic
60#2805C2211yescharacteristic
61#2805C2211yescharacteristic
62#2805C2211yescharacteristic
63#2802C2212yes—
64#2802C2212yes—
65#2802C2212yes—
66#2802C2212yes—
67#2802C2212yes—
68#2801C2212yes—
69#2801C2212yes—
70#2793C2212yes—
71#2793C2212yes—
72#2792C2212yes—
73#2791C2212yes—
74#2791C2212yes—
75#2790C2212yes—
76#2789C2212yes—
77#2788C2212yes—
78#2787C2212yes—
79#2785C2212yes—
80#2783C2212yes—
81#2783C2212yes—
82#2777C2212yes—
83#2776C2212yes—
84#2774C2212yes—
85#2774C2212yes—
86#2773C2212yes—
87#2772C2212yes—
88#2768C2212yes—
89#2767C2212yes—
90#2766C2212yes—
91#2766C2212yes—
92#2766C2212yes—
93#2765C2212yes—
94#2765C2212yes—
95#2763C2212yes—
96#2763C2212yes—
97#2758C2212yes—
98#2754C2212yes—
99#2754C2212yes—
100#2746C2212yes—
101#2745C2212yes—
102#2745C2212yes—
103#2742C2212yes—
104#2742C2212yes—
105#2741C2212yes—
106#2738C2212yes—
107#2737C2212yes—
108#2734C2211yescharacteristic
109#2734C2211yescharacteristic
110#2734C2212yes—
111#2731C2212yes—
112#2729C2212yes—
113#2729C2212yes—
114#2729C2212yes—
115#2727C2211yescharacteristic
116#2726C2211yescharacteristic
117#2726C2211yescharacteristic
118#2726C2211yescharacteristic
119#2725C2212yes—
120#2725C2212yes—
121#2724C2211yescharacteristic
122#2723C2212yes—
123#2720C2212yes—
124#2720C2212yes—
125#2720C2212yes—
126#2720C2212yes—
127#2719C2212yes—
128#2718C2212yes—
129#2716C2212yes—
130#2716C2212yes—
131#2715C2212yes—
132#2713C2212yes—
133#2710C2212yes—
134#2706C2212yes—
135#2704C2212yes—
136#2700C2212yes—
137#2698C2212yes—
138#2694C2212yes—
139#2690C2212yes—
140#2690C2212yes—
141#2687C2212yes—
142#2683C2211yescharacteristic
143#2681C2212yes—
144#2677C2212yes—
145#2677C2212yes—
146#2674C2212yes—
147#2674C2212yes—
148#2666C2212yes—
149#2664C2212yes—
150#2664C2212yes—
151#2663C2212yes—
152#2655C2212yes—
153#2654C2212yes—
154#2651C2212yes—
155#2651C2212yes—
156#2650C2212yes—
157#2650C2212yes—
158#2650C2212yes—
159#2649C2212yes—
160#2637C2212yes—
161#2637C2212yes—
162#2630C2212yes—
163#2628C2212yes—
164#2627C2212yes—
165#2612C2212yes—
166#2612C2212yes—
167#2612C2212yes—
168#2611C2212yes—
169#2611C2212yes—
170#2610C2212yes—
171#2606C2212yes—
172#2606C2212yes—
173#2605C2212yes—
174#2605C2212yes—
175#2604C2212yes—
176#2601C2212yes—
177#2601C2212yes—
178#2599C2212yes—
179#2596C2212yes—
180#2596C2212yes—
181#2596C2212yes—
182#2594C2212yes—
183#2590C2212yes—
184#2590C2212yes—
185#2590C2212yes—
186#2589C2212yes—
187#2588C2212yes—
188#2587C2212yes—
189#2587C2212yes—
190#2587C2212yes—
191#2587C2212yes—
192#2586C2212yes—
193#2586C2212yes—
194#2586C2212yes—
195#2586C2212yes—
196#2584C2212yes—
197#2584C2212yes—
198#2583C2212yes—
199#2582C2212yes—
200#2579C2212yes—
201#2578C2212yes—
202#2578C2212yes—
203#2575C2212yes—
204#2573C2212yes—
205#2573C2212yes—
206#2570C2211yescharacteristic
207#2570C2212yes—
208#2570C2212yes—
209#2568C2212yes—
210#2567C2212yes—
211#2565C2212yes—
212#2564C2212yes—
213#2558C2212yes—
214#2558C2212yes—
215#2556C2212yes—
216#2556C2212yes—
217#2556C2212yes—
218#2551C2212yes—
219#2551C2212yes—
220#2550C2212yes—
221#2550C2211yescharacteristic
222#2550C2212yes—
223#2550C2212yes—
224#2550C2212yes—
225#2533C2212yes—
226#2532C2212yes—
227#2531C2212yes—
228#2531C2212yes—
229#2531C2212yes—
230#2530C2212yes—
231#2530C2212yes—
232#2529C2212yes—
233#2529C2212yes—
234#2529C2212yes—
235#2528C2212yes—
236#2528C2212yes—
237#2528C2212yes—
238#2528C2212yes—
239#2528C2212yes—
240#2528C2212yes—
241#2527C2212yes—
242#2527C2212yes—
243#2525C2212yes—
244#2525C2212yes—
245#2522C2212yes—
246#2522C2212yes—
247#2521C2212yes—
248#2520C2212yes—
249#2520C2212yes—
250#2520C2212yes—
251#2518C2212yes—
252#2517C2212yes—
253#2516C2212yes—
254#2512C2211yescharacteristic
255#2509C2212yes—
256#2509C2212yes—
257#2508C2212yes—
258#2507C2212yes—
259#2506C2212yes—
260#2506C2212yes—
261#2489C2211yescharacteristic
262#2479C2212yes—
263#2478C2212yes—
264#2478C2212yes—
265#2477C2212yes—
266#2477C2212yes—
267#2477C2212yes—
268#2475C2212yes—
269#2474C2212yes—
270#2474C2212yes—
271#2474C2212yes—
272#2470C2212yes—
273#2470C2212yes—
274#2469C2212yes—
275#2469C2212yes—
276#2467C2212yes—
277#2466C2212yes—
278#2465C2212yes—
279#2465C2212yes—
280#2465C2212yes—
281#2462C2212yes—
282#2462C2212yes—
283#2462C2212yes—
284#2462C2212yes—
285#2462C2212yes—
286#2462C2212yes—
287#2459C2212yes—
288#2458C2212yes—
289#2458C2212yes—
290#2451C2212yes—
291#2451C2212yes—
292#2449C2212yes—
293#2446C2212yes—
294#2446C2211yescharacteristic
295#2442C2212yes—
296#2442C2211yescharacteristic
297#2442C2211yescharacteristic
298#2441C2211yescharacteristic
299#2441C2211yescharacteristic
300#2440C2212yes—
301#2439C2211yescharacteristic
302#2439C2212yes—
303#2438C2212yes—
304#2438C2212yes—
305#2438C2212yes—
306#2432C2212yes—
307#2432C2211yescharacteristic
308#2429C2212yes—
309#2426C2211yescharacteristic
310#2425C2212yes—
311#2415C2211yescharacteristic
312#2413C2212yes—
313#2413C2212yes—
314#2407C2211yescharacteristic
315#2406C2212yes—
316#2402C2212yes—
317#2401C2212yes—
318#2399C2212yes—
319#2396C2212yes—
320#2396C2212yes—
321#2382C2212yes—
322#2382C2212yes—
323#2376C2212yes—
324#2376C2212yes—
325#2374C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2373C2212yes—
331#2373C2212yes—
332#2371C2212yes—
333#2370C2212yes—
334#2368C2212yes—
335#2367C2212yes—
336#2365C2211yescharacteristic
337#2362C2211yescharacteristic
338#2362C2211yescharacteristic
339#2362C2212yes—
340#2362C2212yes—
341#2360C2212yes—
342#2360C2212yes—
343#2355C2212yes—
344#2354C2211yescharacteristic
345#2352C2211yescharacteristic
346#2352C2211yescharacteristic
347#2352C2212yes—
348#2351C2212yes—
349Q8×C4⋊C4C2211yescharacteristic
350#2346C2212yes—
351#2346C2211yescharacteristic
352#2346C2211yescharacteristic
353#2346C2212yes—
354#2345C2212yes—
355#2344C2212yes—
356#2336C2212yes—
357#2335C2212yes—
358#2335C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2331C2212yes—
365#2330C2212yes—
366#2330C2212yes—
367#2326C2212yes—
368#2323C2212yes—
369#2323C2212yes—
370#2323C2212yes—
371#2320C2212yes—
372#2317C2212yes—
373#2316C2212yes—
374#2314C2212yes—
375#2314C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×C4⋊Q8C2212yes—
378C4×#125C2211yescharacteristic
379C4×#125C2212yes—
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2211yescharacteristic
382C4×C22⋊Q8C2211yescharacteristic
383#2298C2212yes—
384#2297C2211yescharacteristic
385#2296C2211yescharacteristic
386#2296C2211yescharacteristic
387#2296C2211yescharacteristic
388#2295C2211yescharacteristic
389#2295C2212yes—
390#2295C2212yes—
391#2293C2212yes—
392C2×#389C2211yescharacteristic
393#2276C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396#556—28no—
397#552—216no—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2312yes—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#125C2311yescharacteristic
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2311yescharacteristic
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#124C2312yes—
423C2×#124C2311yescharacteristic
424C2×#124C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2311yescharacteristic
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×#121C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2311yescharacteristic
461C2×#117C2311yescharacteristic
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2311yescharacteristic
466C2×#117C2311yescharacteristic
467C2×#117C2311yescharacteristic
468C2×#117C2311yescharacteristic
469C2×#117C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C42C2311yescharacteristic
475C22×C42C2311yescharacteristic
476#401C2312yes—
477#401C2312yes—
478#401C2312yes—
479#401C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#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#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
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#395C2312yes—
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#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#392C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2311yescharacteristic
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2312yes—
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2311yescharacteristic
695#390C2312yes—
696#390C2312yes—
697#390C2311yescharacteristic
698#390C2311yescharacteristic
699#390C2312yes—
700#390C2311yescharacteristic
701#390C2312yes—
702#390C2311yescharacteristic
703#389C2312yes—
704#389C2312yes—
705#389C2311yescharacteristic
706#389C2311yescharacteristic
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2311yescharacteristic
713#389C2311yescharacteristic
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2311yescharacteristic
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2311yescharacteristic
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2311yescharacteristic
734#389C2312yes—
735#389C2312yes—
736#389C2311yescharacteristic
737#389C2311yescharacteristic
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2311yescharacteristic
777#389C2311yescharacteristic
778#389C2312yes—
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2312yes—
783#389C2311yescharacteristic
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#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#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
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#384C2312yes—
1015#384C2311yescharacteristic
1016#384C2312yes—
1017#384C2312yes—
1018#384C2312yes—
1019#384C2311yescharacteristic
1020#384C2311yescharacteristic
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#382C2312yes—
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2311yescharacteristic
1034#382C2311yescharacteristic
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2311yescharacteristic
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2311yescharacteristic
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2311yescharacteristic
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2312yes—
1109C4×C4⋊C4C2312yes—
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2311yescharacteristic
1121C4×C22⋊C4C2311yescharacteristic
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2311yescharacteristic
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2311yescharacteristic
1131C4×C22⋊C4C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138#376C2312yes—
1139#376C2312yes—
1140#376C2312yes—
1141C2×#95C2312yes—
1142C43C2311yescharacteristic
1143C43C2312yes—
1144C2×#41—42no—
1145C2×#41—81no—
1146C2×#41—81no—
1147C22×Q8C2412yes—
1148C22×Q8C2412yes—
1149C22×Q8C2411yescharacteristic
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×D4C2411yescharacteristic
1156C22×D4C2412yes—
1157C22×D4C2411yescharacteristic
1158C22×D4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2411yescharacteristic
1161C23×C4C2412yes—
1162C23×C4C2411yescharacteristic
1163C23×C4C2412yes—
1164C23×C4C2411yescharacteristic
1165C23×C4C2411yescharacteristic
1166C23×C4C2411yescharacteristic
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C4⋊Q8—24no—
1171C4⋊Q8—44no—
1172C4⋊Q8—44no—
1173C4⋊Q8—81no—
1174C4⋊Q8—81no—
1175C4⋊Q8—82no—
1176C4⋊Q8—82no—
1177C4⋊Q8—82no—
1178#126—28no—
1179#126—28no—
1180#126—28no—
1181#126—28no—
1182#126—28no—
1183#126—82no—
1184#125—28no—
1185#125—28no—
1186#125—24no—
1187#125—28no—
1188#125—44no—
1189#125—81no—
1190#125—82no—
1191#125—82no—
1192#125—82no—
1193#125—81no—
1194#124—28no—
1195#124—82no—
1196#124—81no—
1197#123—28no—
1198#123—28no—
1199#123—44no—
1200#123—82no—
1201#123—82no—
1202C22⋊Q8—24no—
1203C22⋊Q8—28no—
1204C22⋊Q8—24no—
1205C22⋊Q8—28no—
1206C22⋊Q8—28no—
1207C22⋊Q8—44no—
1208C22⋊Q8—42no—
1209C22⋊Q8—81no—
1210C22⋊Q8—81no—
1211C22⋊Q8—82no—
1212C22⋊Q8—82no—
1213C22⋊Q8—82no—
1214#121—81no—
1215C4×Q8—24no—
1216C4×Q8—28no—
1217C4×Q8—28no—
1218C4×Q8—28no—
1219C4×Q8—44no—
1220C4×Q8—81no—
1221C4×Q8—81no—
1222C4×Q8—81no—
1223C4×Q8—82no—
1224C4×Q8—82no—
1225C4×Q8—82no—
1226C4×D4—24no—
1227C4×D4—24no—
1228C4×D4—28no—
1229C4×D4—42no—
1230#117—24no—
1231#117—24no—
1232#117—28no—
1233#117—28no—
1234#117—82no—
1235#117—82no—
1236#117—81no—
1237#117—81no—
1238#117—82no—
1239#117—81no—
1240#117—81no—
1241#117#4118yescomplemented
1242C2×C4⋊C4—28no—
1243C2×C4⋊C4—24no—
1244C2×C4⋊C4—82no—
1245C2×C4⋊C4—81no—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2411yescharacteristic
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊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⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2411yescharacteristic
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2411yescharacteristic
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2411yescharacteristic
1367C2×C22⋊C4C2411yescharacteristic
1368C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2411yescharacteristic
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×C42—81no—
1411C2×C42—81no—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2411yescharacteristic
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2411yescharacteristic
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2411yescharacteristic
1444C2×C42C2411yescharacteristic
1445C2×C42C2411yescharacteristic
1446C2×C42C2411yescharacteristic
1447C2×C42C2412yes—
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2411yescharacteristic
1465#95C2411yescharacteristic
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2411yescharacteristic
1495#95C2411yescharacteristic
1496#95C2411yescharacteristic
1497#95C2411yescharacteristic
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580C24C2512yes—
1581C24C2511yescharacteristic
1582C24C2511yescharacteristic
1583#41—88no—
1584C2×Q8—24no—
1585C2×Q8—22no—
1586C2×Q8—24no—
1587C2×Q8—24no—
1588C2×Q8—24no—
1589C2×Q8—22no—
1590C2×Q8—22no—
1591C2×Q8—42no—
1592C2×Q8—42no—
1593C2×Q8—41no—
1594C2×Q8—41no—
1595C2×Q8—41no—
1596C2×Q8—42no—
1597C2×Q8—41no—
1598C2×Q8—42no—
1599C2×Q8—41no—
1600C2×Q8—42no—
1601C2×Q8—41no—
1602C2×Q8—42no—
1603C2×Q8—42no—
1604C2×Q8—42no—
1605C2×Q8—42no—
1606C2×Q8—42no—
1607C2×Q8—42no—
1608C2×D4—22no—
1609C2×D4—24no—
1610C2×D4—22no—
1611C2×D4—22no—
1612C2×D4—41no—
1613C2×D4—42no—
1614C2×D4—41no—
1615C2×D4—42no—
1616C2×D4—41no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—22no—
1629C22×C4—24no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—41no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—41no—
1636C22×C4—41no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—41no—
1640C22×C4—41no—
1641C22×C4—41no—
1642C22×C4—41no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4C2×#4114yes—
1653C22×C4C2511yescharacteristic
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2511yescharacteristic
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2511yescharacteristic
1667C22×C4C2511yescharacteristic
1668C22×C4C2511yescharacteristic
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2511yescharacteristic
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2511yescharacteristic
1682C22×C4C2511yescharacteristic
1683C22×C4C2511yescharacteristic
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2511yescharacteristic
1687C22×C4C2512yes—
1688C22×C4C2511yescharacteristic
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—22no—
1696C4⋊C4—24no—
1697C4⋊C4—22no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—22no—
1711C4⋊C4—22no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—22no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—22no—
1725C4⋊C4—24no—
1726C4⋊C4—41no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—41no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
1746C4⋊C4—41no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—41no—
1754C4⋊C4—42no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—41no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4C2×#4114yes—
1799C4⋊C4C2×#4114yes—
1800C4⋊C42−1+414yes—
1801C4⋊C42−1+414yes—
1802C22⋊C4—24no—
1803C22⋊C4—22no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—22no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—22no—
1815C22⋊C4—22no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—41no—
1837C22⋊C4—41no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4C2×#4118yes—
1853C42—24no—
1854C42—24no—
1855C42—24no—
1856C42—24no—
1857C42—22no—
1858C42—24no—
1859C42—24no—
1860C42—22no—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—22no—
1865C42—24no—
1866C42—22no—
1867C42—41no—
1868C42—41no—
1869C42—41no—
1870C42—41no—
1871C42—41no—
1872C42—41no—
1873C42—41no—
1874C42—41no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—41no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42C2×#4118yes—
1899C23—21no—
1900C23—21no—
1901C23—21no—
1902C23—21no—
1903C23—21no—
1904C23—21no—
1905C23—22no—
1906C23—21no—
1907C23—22no—
1908C23—22no—
1909C23—21no—
1910C23—21no—
1911C23—21no—
1912C23—22no—
1913C23—21no—
1914C23—22no—
1915C23—21no—
1916C23—22no—
1917C23—21no—
1918C23—22no—
1919C23C22×#4112yes—
1920C23C2611yescharacteristic
1921Q8—48no—
1922Q8—48no—
1923Q8—44no—
1924Q8—82no—
1925Q8—82no—
1926Q8—84no—
1927Q8—162no—
1928Q8—162no—
1929D4—44no—
1930D4—82no—
1931D4—84no—
1932D4—84no—
1933C2×C4—21no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—22no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—22no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—21no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—21no—
1969C2×C4—22no—
1970C2×C4—21no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—21no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—21no—
2005C2×C4—21no—
2006C2×C4—22no—
2007C2×C4—21no—
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—22no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—21no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—44no—
2032C2×C4—48no—
2033C2×C4—44no—
2034C2×C4—44no—
2035C2×C4—48no—
2036C2×C4—44no—
2037C2×C4—44no—
2038C2×C4—82no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—162no—
2042C2×C4C22×#4114yes—
2043C2×C4C22×#4114yes—
2044C2×C4C22×#4112yes—
2045C2×C4C22×#4112yes—
2046C2×C4C2×2−1+412yes—
2047C2×C4C2×2−1+412yes—
2048C2×C4C2×2−1+412yes—
2049C2×C4C2×2−1+412yes—
2050C2×C4C2×2−1+414yes—
2051C2×C4#58512yes—
2052C22—22no—
2053C22—22no—
2054C22—22no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—42no—
2060C22—41no—
2061C22—41no—
2062C22—42no—
2063C22—42no—
2064C22—41no—
2065C22—41no—
2066C22—42no—
2067C22—41no—
2068C22—42no—
2069C22—41no—
2070C22—42no—
2071C22—41no—
2072C22—42no—
2073C22C23×#4111yescharacteristic
2074C22C22×2−1+411yescharacteristic
2075C22C22×2−1+411yescharacteristic
2076C22C2×#58511yescharacteristic
2077C22H(7,𝔽2)11yescharacteristic
2078C22H(7,𝔽2)11yescharacteristic
2079C222−1+611yescharacteristic
2080C4—24no—
2081C4—24no—
2082C4—24no—
2083C4—22no—
2084C4—22no—
2085C4—22no—
2086C4—22no—
2087C4—22no—
2088C4—22no—
2089C4—22no—
2090C4—41no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—41no—
2097C4—42no—
2098C4—42no—
2099C4—41no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—41no—
2105C4—42no—
2106C4—41no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—41no—
2115C4—42no—
2116C2—42no—
2117C2—82no—
2118C2—81no—
2119C2#6280511yescharacteristic
2120C2#6285611yescharacteristic
2121C2#6286711yescharacteristic
2122C2#6294511yescharacteristic
2123C2#6295311yescharacteristic
2124C2#6300011yescharacteristic
2125C2#6306111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60046C2semidirect
2. #59969C2semidirect
3. #52290C2semidirect
5. #51240C2semidirect
6. #51234C2semidirect
7. #50603C2semidirect
8. #50214C2semidirect
9. #49610C2semidirect
10. #47750C2semidirect
11. #47601C2semidirect
12. #45959C2semidirect
13. #45802C2semidirect
14. #45275C2semidirect
15. #44746C2semidirect
16. #44714C2semidirect
17. #44211C2semidirect
18. #44050C2semidirect
19. #42179C2semidirect
20. #42048C2semidirect
21. #41783C2semidirect
22. #41080C2semidirect
23. #39701C2semidirect
24. #39496C2semidirect
25. #38884C2semidirect
26. #38783C2semidirect
27. #38782C2semidirect
28. #38771C2semidirect
29. #38738C2semidirect
30. #38427C2semidirect
31. #38311C2semidirect
32. #37308C2semidirect
33. #37256C2semidirect
34. #36387C2semidirect
35. #36071C2semidirect
36. #35582C2semidirect
38. #34482C2semidirect
39. #34324C2semidirect
1241. #117#41semidirect

Maximal subgroups

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

subgroupindex
#600462
#599692
#522902
#514972
#512402
#512342
#506032
#502142
#496102
#477502
#476012
#459592
#458022
#452752
#447462
#447142
#442112
#440502
#421792
#420482
#417832
#410802
#397012
#394962
#388842
#387832
#387822
#387712
#387382
#384272
#383112
#373082
#372562
#363872
#360712
#355822
#350362
#344822
#343242