Finite Group Databasebeta

← #7671113

Subgroups — #7671113

Order 512.

4632 conjugacy classes of subgroups.

The subgroup lattice has 1601 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59715C212yesmaximal, complemented
2#59672C211yesmaximal, characteristic, complemented
3#59531C214yesmaximal, complemented
4#59502C212yesmaximal, complemented
5#59464C211yesmaximal, characteristic, complemented
6#59450C211yesmaximal, characteristic, complemented
7#59436C211yesmaximal, characteristic, complemented
8#59260C212yesmaximal
9#59246C212yesmaximal, complemented
10#40348C214yesmaximal, complemented
11#40330C214yesmaximal, complemented
12#39936C212yesmaximal, complemented
13#39928C212yesmaximal, complemented
14#39890C212yesmaximal, complemented
15#39880C212yesmaximal
16#36635C211yesmaximal, characteristic, complemented
17#36535C211yesmaximal, characteristic, complemented
18#36535C212yesmaximal, complemented
19#36480C211yesmaximal, characteristic, complemented
20#36476C211yesmaximal, characteristic, complemented
21#36450C212yesmaximal, complemented
22#36450C211yesmaximal, characteristic, complemented
23#36394C212yesmaximal, complemented
24#36307C212yesmaximal, complemented
25#36301C211yesmaximal, characteristic
26#36286C211yesmaximal, characteristic, complemented
27#36272C211yesmaximal, characteristic
28#36261C211yesmaximal, characteristic, complemented
29#35507C214yesmaximal, complemented
30#35115C212yesmaximal, complemented
31#35039C212yesmaximal, complemented
32#34317C212yesmaximal, complemented
33#34314C212yesmaximal, complemented
34C4×#533C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#552C2212yes—
38C2×#533C2211yescharacteristic
39C2×#529C2211yescharacteristic
40#2864C2212yes—
41#2864C2212yes—
42#2864C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2212yes—
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2855C2212yes—
55#2855C2212yes—
56#2855C2212yes—
57#2851C2212yes—
58#2809C2214yes—
59#2776C2214yes—
60#2774C2214yes—
61#2771C2214yes—
62#2762C2214yes—
63#2745C2214yes—
64#2745C2214yes—
65#2744C2214yes—
66#2743C2214yes—
67#2698C2214yes—
68#2698C2214yes—
69#2689C2214yes—
70#2689C2214yes—
71#2687C2214yes—
72#2687C2214yes—
73#2680C2214yes—
74#2655C2214yes—
75#2652C2214yes—
76#2638C2214yes—
77#2634C2214yes—
78#2611C2214yes—
79#2611C2214yes—
80#2607C2214yes—
81#2605C2214yes—
82#2605C2214yes—
83#2605C2214yes—
84#2599C2214yes—
85#2599C2214yes—
86#2599C2214yes—
87#2590C2214yes—
88#2590C2214yes—
89#2590C2214yes—
90#2589C2214yes—
91#2588C2214yes—
92#2588C2214yes—
93#2588C2214yes—
94#2588C2214yes—
95#2588C2214yes—
96#2584C2212yes—
97#2583C2214yes—
98#2581C2212yes—
99#2581C2212yes—
100#2581C2214yes—
101#2580C2212yes—
102#2577C2214yes—
103#2577C2214yes—
104#2577C2214yes—
105#2577C2214yes—
106#2575C2214yes—
107#2575C2214yes—
108#2575C2214yes—
109#2571C2212yes—
110#2571C2211yescharacteristic
111#2570C2212yes—
112#2570C2212yes—
113#2570C2212yes—
114#2570C2212yes—
115#2568C2212yes—
116#2568C2211yescharacteristic
117#2567C2211yescharacteristic
118#2565C2214yes—
119#2565C2212yes—
120#2565C2214yes—
121#2563C2211yescharacteristic
122#2553C2214yes—
123#2552C2211yescharacteristic
124#2552C2212yes—
125#2552C2211yescharacteristic
126#2552C2212yes—
127#2551C2211yescharacteristic
128#2550C2212yes—
129#2550C2212yes—
130#2550C2212yes—
131#2549C2214yes—
132#2542C2211yescharacteristic
133#2533C2214yes—
134#2533C2214yes—
135#2528C2214yes—
136#2528C2214yes—
137#2528C2214yes—
138#2528C2214yes—
139#2528C2214yes—
140#2527C2214yes—
141#2527C2214yes—
142#2524C2214yes—
143#2523C2214yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2214yes—
147#2511C2212yes—
148#2511C2212yes—
149#2509C2212yes—
150#2509C2212yes—
151#2508C2212yes—
152#2508C2212yes—
153#2508C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2503C2212yes—
157#2499C2214yes—
158#2499C2212yes—
159#2497C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2494C2212yes—
164#2494C2212yes—
165#2494C2212yes—
166#2493C2214yes—
167#2492C2212yes—
168#2492C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2485C2212yes—
173#2484C2214yes—
174#2477C2214yes—
175#2465C2214yes—
176#2462C2214yes—
177#2460C2214yes—
178#2453C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2447C2212yes—
182#2447C2212yes—
183#2442C2212yes—
184#2440C2212yes—
185#2440C2212yes—
186#2439C2212yes—
187#2423C2212yes—
188#2422C2212yes—
189#2421C2212yes—
190#2420C2212yes—
191#2415C2212yes—
192#2373C2214yes—
193#2370C2212yes—
194#2370C2214yes—
195#2370C2212yes—
196#2370C2212yes—
197#2369C2212yes—
198#2369C2211yescharacteristic
199#2369C2211yescharacteristic
200#2365C2212yes—
201#2365C2211yescharacteristic
202#2365C2211yescharacteristic
203#2362C2212yes—
204#2362C2214yes—
205#2362C2214yes—
206#2362C2214yes—
207#2360C2212yes—
208#2360C2212yes—
209#2359C2214yes—
210#2357C2212yes—
211#2357C2212yes—
212#2356C2212yes—
213#2355C2212yes—
214#2355C2211yescharacteristic
215#2355C2211yescharacteristic
216#2355C2212yes—
217#2355C2214yes—
218#2355C2212yes—
219#2355C2212yes—
220#2354C2212yes—
221#2352C2212yes—
222#2351C2212yes—
223#2349C2212yes—
224D4×C4⋊C4C2211yescharacteristic
225D4×C4⋊C4C2211yescharacteristic
226#2347C2212yes—
227#2344C2212yes—
228#2344C2214yes—
229#2344C2212yes—
230#2343C2214yes—
231#2343C2214yes—
232#2336C2214yes—
233#2336C2214yes—
234#2334C2214yes—
235#2332C2214yes—
236#2332C2214yes—
237#2323C2214yes—
238#2322C2214yes—
239C4×C4⋊Q8C2212yes—
240C4×C4⋊Q8C2211yescharacteristic
241C4×C4⋊Q8C2211yescharacteristic
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2211yescharacteristic
246C4×#125C2212yes—
247C4×#125C2212yes—
248C4×#125C2212yes—
249C4×#125C2211yescharacteristic
250C4×#125C2211yescharacteristic
251C4×#125C2211yescharacteristic
252C4×#125C2211yescharacteristic
253C4×#125C2211yescharacteristic
254C4×#125C2211yescharacteristic
255C4×#126C2212yes—
256C4×#126C2212yes—
257C4×#124C2211yescharacteristic
258C4×#124C2211yescharacteristic
259C4×C22⋊Q8C2212yes—
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2211yescharacteristic
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×#123C2212yes—
269C4×#123C2212yes—
270C4×#121C2211yescharacteristic
271C4×#121C2211yescharacteristic
272#2298C2212yes—
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2295C2212yes—
276#2295C2212yes—
277#2295C2212yes—
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2212yes—
281#2293C2211yescharacteristic
282#2293C2212yes—
283#2293C2212yes—
284C2×#389C2212yes—
285#2290C2212yes—
286#2285C2211yescharacteristic
287#2283C2212yes—
288#2283C2211yescharacteristic
289#2274C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C43C2211yescharacteristic
299#554—216no—
300#552—216no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2311yescharacteristic
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×#117C2314yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2314yes—
359C2×#117C2314yes—
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C22×C4⋊C4C2314yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375#401C2314yes—
376#401C2314yes—
377#401C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#396C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2314yes—
439#391C2312yes—
440#391C2314yes—
441#391C2312yes—
442#391C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2314yes—
447#391C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2314yes—
451#391C2314yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#390C2312yes—
473#390C2312yes—
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2312yes—
479#389C2311yescharacteristic
480#389C2311yescharacteristic
481#389C2311yescharacteristic
482#389C2312yes—
483#389C2311yescharacteristic
484#389C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2312yes—
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2314yes—
568#387C2314yes—
569#387C2312yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2314yes—
659#384C2312yes—
660#384C2312yes—
661#384C2312yes—
662#383C2312yes—
663#383C2314yes—
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#382C2311yescharacteristic
669#382C2311yescharacteristic
670#382C2312yes—
671#382C2312yes—
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2314yes—
677#382C2312yes—
678#382C2314yes—
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2312yes—
683#382C2314yes—
684#382C2312yes—
685#382C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2314yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2314yes—
797#376C2312yes—
798#376C2314yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802C2×#95C2314yes—
803C43C2311yescharacteristic
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2312yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2414yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—44no—
840#126—28no—
841#126—216no—
842#125—24no—
843#125—24no—
844#125—24no—
845#125—28no—
846#125—28no—
847#125—216no—
848#125—28no—
849#125—48no—
850#124—24no—
851#123—28no—
852#123—216no—
853C22⋊Q8—28no—
854C22⋊Q8—216no—
855C22⋊Q8—24no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—216no—
860C22⋊Q8—216no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863#121—24no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—48no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—44no—
885C4×D4#4118yes—
886#117—28no—
887#117—24no—
888#117—216no—
889#117—44no—
890#117—48no—
891#117—48no—
892#117—42no—
893#117—42no—
894#117#4118yes—
895C2×C4⋊C4—216no—
896C2×C4⋊C4—28no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42—24no—
1003C2×C42—24no—
1004C2×C42—42no—
1005C2×C42—44no—
1006C2×C42—42no—
1007C2×C42—42no—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2512yes—
1150C24C2511yescharacteristic
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—28no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4C2×#4114yes—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—28no—
1180C22×C4—28no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—28no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4C2×#4114yes—
1210C22×C4C2×#4118yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4C2×#4114yes—
1319C4⋊C4C2×#4114yes—
1320C4⋊C4C2×#4114yes—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4C2×#4118yes—
1345C22⋊C4C2×#4118yes—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—24no—
1355C42—28no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—24no—
1377C42—28no—
1378C42—24no—
1379C42—41no—
1380C42—41no—
1381C42—42no—
1382C42—41no—
1383C42—41no—
1384C42—42no—
1385C42—41no—
1386C42—41no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—44no—
1392C42—42no—
1393C42—42no—
1394C42—42no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42C2×#4114yes—
1400C42C2×#4118yes—
1401C422−1+414yes—
1402C422−1+414yes—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—22no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23C22×#4112yes—
1416C23C22×#4114yes—
1417C23C2611yescharacteristic
1418Q8—48no—
1419Q8—48no—
1420Q8—48no—
1421Q8—44no—
1422Q8—88no—
1423Q8—84no—
1424D4—28no—
1425D4—48no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—28no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—416no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—48no—
1517C2×C4—44no—
1518C2×C4—84no—
1519C2×C4—88no—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4112yes—
1524C2×C4C22×#4114yes—
1525C2×C4C22×#4114yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4#58512yes—
1535C2×C4#58512yes—
1536C2×C4#58512yes—
1537C22—22no—
1538C22—24no—
1539C22—24no—
1540C22—22no—
1541C22—24no—
1542C22—22no—
1543C22—42no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—41no—
1549C22—42no—
1550C22—42no—
1551C22C23×#4111yescharacteristic
1552C22C23×#4111yescharacteristic
1553C22C22×2−1+411yescharacteristic
1554C22C22×2−1+411yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C4—22no—
1559C4—22no—
1560C4—24no—
1561C4—22no—
1562C4—24no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—22no—
1567C4—24no—
1568C4—22no—
1569C4—42no—
1570C4—44no—
1571C4—41no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—44no—
1585C4—41no—
1586C4—44no—
1587C4—42no—
1588C4—42no—
1589C4#350714yes—
1590C4#350914yes—
1591C2—42no—
1592C2—44no—
1593C2#41211yescharacteristic
1594C2C2×#350711yescharacteristic
1595C2#6278111yescharacteristic
1596C2C2×#350911yescharacteristic
1597C2#6280511yescharacteristic
1598C2#6283111yescharacteristic
1599C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59715C2semidirect
2. #59672C2semidirect
3. #59531C2semidirect
4. #59502C2semidirect
5. #59464C2semidirect
6. #59450C2semidirect
7. #59436C2semidirect
9. #59246C2semidirect
10. #40348C2semidirect
11. #40330C2semidirect
12. #39936C2semidirect
13. #39928C2semidirect
14. #39890C2semidirect
16. #36635C2semidirect
17. #36535C2semidirect
18. #36535C2semidirect
19. #36480C2semidirect
20. #36476C2semidirect
21. #36450C2semidirect
22. #36450C2semidirect
23. #36394C2semidirect
24. #36307C2semidirect
26. #36286C2semidirect
28. #36261C2semidirect
29. #35507C2semidirect
30. #35115C2semidirect
31. #35039C2semidirect
32. #34317C2semidirect
33. #34314C2semidirect
34. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#597152
#596722
#595312
#595022
#594642
#594502
#594362
#592602
#592462
#403482
#403302
#399362
#399282
#398902
#398802
#366352
#365352
#364802
#364762
#364502
#363942
#363072
#363012
#362862
#362722
#362612
#355072
#351152
#350392
#343172
#343142
C4×#5332
C4×#5292