Finite Group Databasebeta

← #7719987

Subgroups — #7719987

Order 512.

4365 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51514C214yesmaximal, complemented
2#51463C214yesmaximal, complemented
3#51253C214yesmaximal, complemented
4#51247C214yesmaximal, complemented
5#45398C212yesmaximal, complemented
6#45301C212yesmaximal, complemented
7#45297C212yesmaximal, complemented
8#45262C212yesmaximal, complemented
9#45253C212yesmaximal, complemented
10#45186C212yesmaximal, complemented
11#45062C212yesmaximal, complemented
12#45011C212yesmaximal, complemented
13#39203C211yesmaximal, characteristic, complemented
14#39197C212yesmaximal, complemented
15#39194C212yesmaximal, complemented
16#39191C211yesmaximal, characteristic, complemented
17#39136C211yesmaximal, characteristic, complemented
18#39126C211yesmaximal, characteristic, complemented
19#38288C212yesmaximal, complemented
20#38279C212yesmaximal, complemented
21#37416C212yesmaximal, complemented
22#37372C212yesmaximal, complemented
23#36534C211yesmaximal, characteristic, complemented
24#36447C211yesmaximal, characteristic, complemented
25#36315C211yesmaximal, characteristic, complemented
26#36301C211yesmaximal, characteristic, complemented
27#35340C212yesmaximal, complemented
28#35300C212yesmaximal, complemented
29#35291C211yesmaximal, characteristic, complemented
30#35207C211yesmaximal, characteristic, complemented
31#35196C211yesmaximal, characteristic, complemented
32#34621C211yesmaximal, characteristic, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2864C2212yes—
40#2862C2211yescharacteristic
41#2861C2212yes—
42#2861C2212yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2854C2212yes—
49#2851C2212yes—
50#2850C2212yes—
51#2803C2214yes—
52#2803C2214yes—
53#2803C2214yes—
54#2801C2214yes—
55#2801C2214yes—
56#2800C2214yes—
57#2800C2214yes—
58#2798C2214yes—
59#2797C2214yes—
60#2795C2214yes—
61#2794C2214yes—
62#2793C2214yes—
63#2793C2214yes—
64#2790C2214yes—
65#2781C2214yes—
66#2773C2214yes—
67#2772C2214yes—
68#2772C2214yes—
69#2771C2214yes—
70#2767C2214yes—
71#2766C2214yes—
72#2766C2214yes—
73#2765C2214yes—
74#2761C2214yes—
75#2757C2214yes—
76#2756C2214yes—
77#2754C2214yes—
78#2753C2214yes—
79#2753C2214yes—
80#2753C2214yes—
81#2743C2214yes—
82#2741C2214yes—
83#2727C2214yes—
84#2711C2214yes—
85#2705C2214yes—
86#2703C2214yes—
87#2702C2214yes—
88#2701C2214yes—
89#2688C2214yes—
90#2681C2214yes—
91#2653C2214yes—
92#2651C2212yes—
93#2651C2212yes—
94#2649C2214yes—
95#2648C2212yes—
96#2648C2212yes—
97#2647C2211yescharacteristic
98#2645C2212yes—
99#2644C2211yescharacteristic
100#2644C2211yescharacteristic
101#2641C2211yescharacteristic
102#2629C2211yescharacteristic
103#2629C2212yes—
104#2625C2212yes—
105#2625C2212yes—
106#2624C2212yes—
107#2624C2211yescharacteristic
108#2624C2211yescharacteristic
109#2620C2212yes—
110#2619C2211yescharacteristic
111#2609C2214yes—
112#2597C2214yes—
113#2597C2214yes—
114#2596C2214yes—
115#2595C2214yes—
116#2594C2214yes—
117#2594C2214yes—
118#2593C2214yes—
119#2590C2214yes—
120#2587C2214yes—
121#2578C2214yes—
122#2577C2214yes—
123#2576C2214yes—
124#2576C2214yes—
125#2575C2214yes—
126#2571C2212yes—
127#2571C2211yescharacteristic
128#2571C2212yes—
129#2570C2212yes—
130#2565C2212yes—
131#2563C2211yescharacteristic
132#2563C2211yescharacteristic
133#2562C2212yes—
134#2560C2214yes—
135#2560C2214yes—
136#2558C2214yes—
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2547C2211yescharacteristic
140#2544C2212yes—
141#2542C2211yescharacteristic
142#2540C2212yes—
143#2538C2212yes—
144#2538C2212yes—
145#2537C2211yescharacteristic
146#2537C2211yescharacteristic
147#2537C2212yes—
148#2536C2212yes—
149#2536C2212yes—
150#2536C2212yes—
151#2531C2214yes—
152#2529C2214yes—
153#2529C2214yes—
154#2529C2214yes—
155#2528C2214yes—
156#2527C2214yes—
157#2526C2214yes—
158#2525C2214yes—
159#2518C2214yes—
160#2516C2214yes—
161#2516C2214yes—
162#2514C2212yes—
163#2513C2212yes—
164#2513C2214yes—
165#2513C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2508C2214yes—
169#2508C2212yes—
170#2506C2214yes—
171#2506C2212yes—
172#2500C2214yes—
173#2500C2214yes—
174#2497C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2495C2212yes—
178#2494C2212yes—
179#2494C2214yes—
180#2494C2212yes—
181#2494C2212yes—
182#2494C2212yes—
183#2494C2212yes—
184#2490C2214yes—
185#2490C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2489C2212yes—
189#2487C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2485C2212yes—
193#2477C2214yes—
194#2476C2214yes—
195#2475C2214yes—
196#2470C2214yes—
197#2458C2214yes—
198#2453C2212yes—
199#2442C2212yes—
200#2441C2214yes—
201#2441C2212yes—
202#2428C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2422C2212yes—
208#2421C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2395C2212yes—
218#2395C2212yes—
219#2392C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2378C2214yes—
223#2374C2212yes—
224#2374C2212yes—
225#2373C2212yes—
226#2373C2212yes—
227#2370C2212yes—
228#2370C2211yescharacteristic
229#2370C2211yescharacteristic
230#2369C2211yescharacteristic
231#2367C2211yescharacteristic
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2365C2211yescharacteristic
235#2363C2211yescharacteristic
236#2363C2211yescharacteristic
237#2362C2211yescharacteristic
238#2362C2211yescharacteristic
239#2362C2212yes—
240#2360C2212yes—
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2354C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253#2347C2212yes—
254#2346C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257#2334C2214yes—
258#2330C2212yes—
259#2326C2212yes—
260#2324C2212yes—
261#2324C2212yes—
262#2324C2212yes—
263#2324C2212yes—
264#2323C2212yes—
265#2323C2214yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2320C2212yes—
271#2320C2212yes—
272#2319C2212yes—
273#2317C2212yes—
274#2316C2212yes—
275#2314C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#125C2212yes—
281C4×#125C2211yescharacteristic
282C4×#124C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285#2298C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2212yes—
293#2290C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#556—28no—
300#554—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×#127C2311yescharacteristic
304#529—28no—
305C2×#126C2314yes—
306C2×#126C2312yes—
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#124C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2314yes—
367C2×#117C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2312yes—
372#401C2314yes—
373#401C2314yes—
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2312yes—
393#399C2312yes—
394#399C2314yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2312yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2312yes—
432#396C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#392C2312yes—
473#392C2312yes—
474#392C2314yes—
475#392C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2312yes—
494#390C2312yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2314yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2314yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2314yes—
514#390C2314yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#384C2312yes—
702#384C2314yes—
703#383C2314yes—
704#383C2314yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2311yescharacteristic
806#376C2314yes—
807#376C2312yes—
808#376C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838#127—42no—
839#126—28no—
840#126—216no—
841#125—24no—
842#125—28no—
843#125—44no—
844#125—42no—
845#125—84no—
846#125—82no—
847#124—24no—
848#124—28no—
849#124—44no—
850#123—28no—
851#123—84no—
852C22⋊Q8—24no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—216no—
856C22⋊Q8—44no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—82no—
860#121—24no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—42no—
865#121—42no—
866#121—44no—
867#121—84no—
868#121—84no—
869C4×Q8—28no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—42no—
876C4×Q8—82no—
877C4×Q8#4118yes—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—42no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890#117—28no—
891#117—28no—
892#117—42no—
893#117—44no—
894#117—42no—
895#117—44no—
896#117—44no—
897#117—42no—
898#117—42no—
899#117—44no—
900#117—84no—
901#117—84no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—44no—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C42—24no—
1034C2×C42—44no—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2512yes—
1148C24C2512yes—
1149C24C2511yescharacteristic
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8C2×#4114yes—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—28no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—41no—
1217C22×C4—44no—
1218C22×C4—42no—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—41no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4C2×#4114yes—
1319C4⋊C4C2×#4118yes—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—41no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—42no—
1343C22⋊C4—41no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—28no—
1383C42—22no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—42no—
1396C42—42no—
1397C42—41no—
1398C42—41no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—44no—
1403C42—42no—
1404C42—44no—
1405C42—42no—
1406C42—44no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—41no—
1414C42—41no—
1415C42—42no—
1416C42C2×#4114yes—
1417C42C2×#4118yes—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—21no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23C2611yescharacteristic
1447Q8—28no—
1448Q8—48no—
1449Q8—84no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—84no—
1454D4—84no—
1455D4—84no—
1456D4—84no—
1457D4—84no—
1458D4—164no—
1459D4—164no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—44no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—88no—
1550C2×C4—82no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—88no—
1554C2×C4C22×#4114yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4114yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4#58512yes—
1560C2×C4#58512yes—
1561C2×C4#58512yes—
1562C2×C4#58512yes—
1563C22—42no—
1564C22—41no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—41no—
1570C22—42no—
1571C22—42no—
1572C22—41no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—41no—
1583C22—42no—
1584C22—41no—
1585C22—42no—
1586C22—42no—
1587C22—41no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22C23×#4111yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22H(7,𝔽2)11yescharacteristic
1597C222−1+611yescharacteristic
1598C4—24no—
1599C4—24no—
1600C4—22no—
1601C4—41no—
1602C4—42no—
1603C4—44no—
1604C4—41no—
1605C4—42no—
1606C4—42no—
1607C4—41no—
1608C4—44no—
1609C4—42no—
1610C4—42no—
1611C4—41no—
1612C4—41no—
1613C4—42no—
1614C4—42no—
1615C4—41no—
1616C4—41no—
1617C4—44no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—44no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4#351214yes—
1628C4#352414yes—
1629C2—81no—
1630C2—82no—
1631C2—82no—
1632C2—82no—
1633C2C2×#352411yescharacteristic
1634C2C2×#351211yescharacteristic
1635C2#6285711yescharacteristic
1636C2#6293611yescharacteristic
1637C2#6293711yescharacteristic
1638C2#6293811yescharacteristic
1639C2#6293911yescharacteristic
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. #51514C2semidirect
2. #51463C2semidirect
3. #51253C2semidirect
4. #51247C2semidirect
5. #45398C2semidirect
6. #45301C2semidirect
7. #45297C2semidirect
8. #45262C2semidirect
9. #45253C2semidirect
10. #45186C2semidirect
11. #45062C2semidirect
12. #45011C2semidirect
13. #39203C2semidirect
14. #39197C2semidirect
15. #39194C2semidirect
16. #39191C2semidirect
17. #39136C2semidirect
18. #39126C2semidirect
19. #38288C2semidirect
20. #38279C2semidirect
21. #37416C2semidirect
22. #37372C2semidirect
23. #36534C2semidirect
24. #36447C2semidirect
25. #36315C2semidirect
26. #36301C2semidirect
27. #35340C2semidirect
28. #35300C2semidirect
29. #35291C2semidirect
30. #35207C2semidirect
31. #35196C2semidirect
32. #34621C2semidirect
33. #34484C2semidirect
34. #34481C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#515142
#514632
#512532
#512472
#453982
#453012
#452972
#452622
#452532
#451862
#450622
#450112
#392032
#391972
#391942
#391912
#391362
#391262
#382882
#382792
#374162
#373722
#365342
#364472
#363152
#363012
#353402
#353002
#352912
#352072
#351962
#346212
#344842
#344812
#341512