Finite Group Databasebeta

← #7699962

Subgroups — #7699962

Order 512.

4905 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59895C212yesmaximal, complemented
2#59879C214yesmaximal, complemented
3#59859C212yesmaximal, complemented
4#59784C214yesmaximal, complemented
5#59723C214yesmaximal, complemented
6#59718C212yesmaximal, complemented
7#59718C212yesmaximal, complemented
8#59672C211yesmaximal, characteristic, complemented
9#59631C212yesmaximal, complemented
10#59121C212yesmaximal
11#59079C211yesmaximal, characteristic, complemented
12#59052C211yesmaximal, characteristic, complemented
13#36600C212yesmaximal, complemented
14#36599C211yesmaximal, characteristic, complemented
15#36454C211yesmaximal, characteristic, complemented
16#36452C212yesmaximal, complemented
17#36451C212yesmaximal, complemented
18#36450C211yesmaximal, characteristic, complemented
19#36408C212yesmaximal, complemented
20#36400C212yesmaximal, complemented
21#36384C214yesmaximal, complemented
22#36382C212yesmaximal, complemented
23#36313C211yesmaximal, characteristic, complemented
24#36272C212yesmaximal, complemented
25#36272C211yesmaximal, characteristic, complemented
26#36256C212yesmaximal, complemented
27#36151C211yesmaximal, characteristic, complemented
28#36116C211yesmaximal, characteristic, complemented
29C4×#554C211yesmaximal, characteristic, complemented
30C4×#553C211yesmaximal, characteristic
31C4×#552C211yesmaximal, characteristic, complemented
32C4×#552C212yesmaximal, complemented
33#34151C212yesmaximal, complemented
34#34145C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#552C2212yes—
39C2×#552C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#529C2212yes—
43#2864C2214yes—
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2859C2214yes—
48#2859C2212yes—
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2211yescharacteristic
52#2855C2212yes—
53#2855C2212yes—
54#2851C2214yes—
55#2810C2214yes—
56#2809C2214yes—
57#2787C2214yes—
58#2787C2214yes—
59#2771C2214yes—
60#2732C2214yes—
61#2728C2214yes—
62#2724C2214yes—
63#2708C2214yes—
64#2611C2214yes—
65#2611C2214yes—
66#2611C2214yes—
67#2585C2214yes—
68#2585C2214yes—
69#2585C2214yes—
70#2585C2214yes—
71#2585C2214yes—
72#2578C2214yes—
73#2577C2214yes—
74#2577C2214yes—
75#2577C2214yes—
76#2576C2214yes—
77#2575C2214yes—
78#2575C2214yes—
79#2575C2214yes—
80#2573C2214yes—
81#2573C2214yes—
82#2573C2214yes—
83#2573C2214yes—
84#2570C2214yes—
85#2570C2214yes—
86#2570C2214yes—
87#2569C2214yes—
88#2568C2211yescharacteristic
89#2565C2214yes—
90#2553C2214yes—
91#2553C2214yes—
92#2553C2214yes—
93#2552C2211yescharacteristic
94#2552C2212yes—
95#2552C2211yescharacteristic
96#2552C2212yes—
97#2552C2212yes—
98#2547C2211yescharacteristic
99#2546C2211yescharacteristic
100#2542C2211yescharacteristic
101#2542C2212yes—
102#2536C2212yes—
103#2533C2214yes—
104#2530C2214yes—
105#2528C2214yes—
106#2528C2214yes—
107#2528C2214yes—
108#2528C2214yes—
109#2524C2214yes—
110#2524C2214yes—
111#2524C2214yes—
112#2517C2214yes—
113#2517C2214yes—
114#2515C2214yes—
115#2514C2212yes—
116#2514C2212yes—
117#2514C2212yes—
118#2511C2212yes—
119#2511C2212yes—
120#2509C2212yes—
121#2508C2212yes—
122#2508C2212yes—
123#2506C2212yes—
124#2506C2212yes—
125#2499C2212yes—
126#2496C2212yes—
127#2496C2214yes—
128#2496C2212yes—
129#2496C2214yes—
130#2494C2214yes—
131#2494C2212yes—
132#2493C2214yes—
133#2489C2212yes—
134#2489C2212yes—
135#2489C2212yes—
136#2489C2212yes—
137#2489C2212yes—
138#2489C2212yes—
139#2489C2212yes—
140#2486C2212yes—
141#2478C2214yes—
142#2478C2214yes—
143#2475C2214yes—
144#2468C2214yes—
145#2460C2214yes—
146#2454C2212yes—
147#2453C2212yes—
148#2453C2212yes—
149#2453C2212yes—
150#2453C2212yes—
151#2453C2212yes—
152#2447C2212yes—
153#2447C2212yes—
154#2446C2212yes—
155#2446C2212yes—
156#2442C2212yes—
157#2442C2212yes—
158#2441C2212yes—
159#2429C2212yes—
160#2427C2212yes—
161#2423C2214yes—
162#2422C2214yes—
163#2422C2212yes—
164#2421C2214yes—
165#2421C2212yes—
166#2421C2212yes—
167#2421C2212yes—
168#2419C2214yes—
169#2419C2214yes—
170#2417C2212yes—
171#2415C2212yes—
172#2415C2212yes—
173#2415C2212yes—
174#2415C2212yes—
175#2374C2214yes—
176#2374C2214yes—
177#2374C2212yes—
178#2373C2214yes—
179#2373C2212yes—
180#2373C2214yes—
181#2373C2214yes—
182#2373C2212yes—
183#2371C2212yes—
184#2371C2214yes—
185#2370C2212yes—
186#2370C2212yes—
187#2370C2214yes—
188#2370C2212yes—
189#2370C2211yescharacteristic
190#2370C2212yes—
191#2370C2212yes—
192#2370C2212yes—
193#2370C2212yes—
194#2370C2212yes—
195#2370C2211yescharacteristic
196#2369C2211yescharacteristic
197#2369C2211yescharacteristic
198#2369C2211yescharacteristic
199#2368C2214yes—
200#2368C2214yes—
201#2368C2214yes—
202#2367C2212yes—
203#2367C2212yes—
204#2365C2211yescharacteristic
205#2365C2212yes—
206#2365C2211yescharacteristic
207#2365C2211yescharacteristic
208#2365C2211yescharacteristic
209#2364C2212yes—
210#2363C2211yescharacteristic
211#2363C2212yes—
212#2362C2211yescharacteristic
213#2362C2212yes—
214#2362C2212yes—
215#2362C2212yes—
216#2361C2211yescharacteristic
217#2360C2212yes—
218#2360C2212yes—
219#2360C2212yes—
220#2360C2212yes—
221#2360C2212yes—
222#2360C2212yes—
223#2360C2212yes—
224#2360C2211yescharacteristic
225#2359C2212yes—
226#2359C2214yes—
227#2357C2211yescharacteristic
228#2356C2211yescharacteristic
229#2356C2212yes—
230#2355C2212yes—
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2353C2212yes—
234#2352C2211yescharacteristic
235#2352C2212yes—
236#2352C2211yescharacteristic
237#2351C2212yes—
238#2349C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241#2347C2211yescharacteristic
242#2346C2211yescharacteristic
243#2345C2211yescharacteristic
244#2345C2212yes—
245#2345C2212yes—
246#2344C2212yes—
247#2344C2211yescharacteristic
248#2343C2212yes—
249#2343C2214yes—
250C4×C4⋊Q8C2211yescharacteristic
251C4×#125C2211yescharacteristic
252C4×#125C2211yescharacteristic
253C4×#125C2212yes—
254C4×#125C2212yes—
255C4×#125C2214yes—
256C4×#125C2212yes—
257C4×#126C2212yes—
258C4×#126C2212yes—
259C4×#126C2214yes—
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2214yes—
262C4×C22⋊Q8C2211yescharacteristic
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2212yes—
266C4×#123C2214yes—
267C4×#123C2212yes—
268C4×#123C2212yes—
269C4×#121C2211yescharacteristic
270C4×#121C2211yescharacteristic
271C4×#121C2212yes—
272#2298C2214yes—
273#2296C2212yes—
274#2296C2212yes—
275#2295C2212yes—
276#2295C2214yes—
277#2295C2214yes—
278#2295C2212yes—
279#2295C2212yes—
280#2293C2214yes—
281#2293C2212yes—
282#2290C2214yes—
283C42×Q8C2212yes—
284C42×Q8C2212yes—
285C42×Q8C2211yescharacteristic
286C42×D4C2212yes—
287C42×D4C2211yescharacteristic
288C42×D4C2212yes—
289C42×D4C2211yescharacteristic
290C4×#117C2214yes—
291C4×#117C2212yes—
292C4×#117C2211yescharacteristic
293C4×#117C2212yes—
294C4×#117C2212yes—
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#554—28no—
300#553—28no—
301#552—216no—
302#552—28no—
303#533—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309#529—216no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2314yes—
389C22×C42C2312yes—
390C22×C42C2312yes—
391#401C2314yes—
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#391C2312yes—
446#391C2314yes—
447#391C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2312yes—
470#390C2312yes—
471#390C2314yes—
472#389C2311yescharacteristic
473#389C2312yes—
474#389C2312yes—
475#389C2314yes—
476#389C2314yes—
477#389C2311yescharacteristic
478#389C2312yes—
479#389C2312yes—
480#389C2311yescharacteristic
481#389C2311yescharacteristic
482#389C2311yescharacteristic
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#388C2312yes—
525#388C2312yes—
526#388C2314yes—
527#388C2312yes—
528#388C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#387C2312yes—
553#387C2312yes—
554#387C2314yes—
555#387C2312yes—
556#387C2312yes—
557#387C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2314yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2312yes—
568#387C2314yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
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#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#386C2312yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2314yes—
630#386C2312yes—
631#385C2312yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#384C2311yescharacteristic
651#384C2314yes—
652#384C2314yes—
653#384C2312yes—
654#384C2312yes—
655#384C2312yes—
656#383C2312yes—
657#383C2314yes—
658#383C2312yes—
659#383C2314yes—
660#383C2314yes—
661#382C2312yes—
662#382C2312yes—
663#382C2312yes—
664#382C2311yescharacteristic
665#382C2311yescharacteristic
666#382C2314yes—
667#382C2314yes—
668#382C2314yes—
669#382C2314yes—
670#382C2314yes—
671#382C2314yes—
672#382C2312yes—
673#382C2312yes—
674#381C2312yes—
675#381C2314yes—
676#381C2314yes—
677#381C2314yes—
678#381C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2311yescharacteristic
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2314yes—
692#380C2311yescharacteristic
693#380C2312yes—
694#380C2312yes—
695#380C2311yescharacteristic
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C22⋊C4C2311yescharacteristic
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801#376C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808C2×#95C2312yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C43C2314yes—
816C43C2312yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8#4118yes—
844#126—216no—
845#126—28no—
846#126—216no—
847#126—28no—
848#125—28no—
849#125—28no—
850#125—28no—
851#125—24no—
852#125—28no—
853#125—24no—
854#125—28no—
855#125—216no—
856#125—28no—
857#125—48no—
858#124—28no—
859#123—216no—
860#123—28no—
861#123—28no—
862#123—216no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—216no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—28no—
874C22⋊Q8—44no—
875#121—28no—
876#121—24no—
877#121#4118yes—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—44no—
890C4×D4—28no—
891C4×D4—216no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—44no—
903#117—24no—
904#117—28no—
905#117—28no—
906#117—24no—
907#117—216no—
908#117—28no—
909#117—216no—
910#117—44no—
911#117—42no—
912#117#4118yes—
913C2×C4⋊C4—28no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—28no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—42no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C42—28no—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—48no—
1032C2×C42—44no—
1033C2×C42—44no—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2511yescharacteristic
1166C24C2511yescharacteristic
1167C24C2512yes—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8C2×#4118yes—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—42no—
1187C2×D4—41no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4C2×#4114yes—
1191C2×D4C2×#4118yes—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—28no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4C2×#4114yes—
1236C22×C4C2×#4114yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—41no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4C2×#4114yes—
1338C4⋊C4C2×#4118yes—
1339C4⋊C4C2×#4114yes—
1340C4⋊C4C2×#4118yes—
1341C4⋊C4C2×#4114yes—
1342C4⋊C42−1+414yes—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—22no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—22no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—22no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—22no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4C2×#4118yes—
1377C22⋊C4C2×#4118yes—
1378C42—24no—
1379C42—24no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—24no—
1388C42—28no—
1389C42—24no—
1390C42—28no—
1391C42—28no—
1392C42—24no—
1393C42—28no—
1394C42—22no—
1395C42—24no—
1396C42—22no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—28no—
1402C42—24no—
1403C42—22no—
1404C42—24no—
1405C42—24no—
1406C42—28no—
1407C42—22no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—42no—
1416C42—44no—
1417C42—41no—
1418C42—42no—
1419C42—42no—
1420C42—42no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42C2×#4114yes—
1426C42C2×#4118yes—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—22no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23C22×#4112yes—
1446C23C22×#4114yes—
1447C23C22×#4112yes—
1448C23C2611yescharacteristic
1449Q8—48no—
1450Q8—44no—
1451Q8—48no—
1452Q8—48no—
1453D4—28no—
1454D4—48no—
1455D4—44no—
1456D4—48no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—21no—
1475C2×C4—28no—
1476C2×C4—28no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—416no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—82no—
1547C2×C4—82no—
1548C2×C4—84no—
1549C2×C4—88no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4114yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4118yes—
1557C2×C4C22×#4114yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4114yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C2×2−1+414yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C22—22no—
1569C22—24no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—24no—
1574C22—22no—
1575C22—24no—
1576C22—22no—
1577C22—42no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—42no—
1588C22—41no—
1589C22C23×#4111yescharacteristic
1590C22C23×#4111yescharacteristic
1591C22C23×#4111yescharacteristic
1592C22C22×2−1+411yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C222−1+611yescharacteristic
1596C4—22no—
1597C4—24no—
1598C4—28no—
1599C4—24no—
1600C4—22no—
1601C4—24no—
1602C4—22no—
1603C4—22no—
1604C4—24no—
1605C4—41no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—41no—
1612C4—41no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—44no—
1620C4—41no—
1621C4—44no—
1622C4—42no—
1623C4—44no—
1624C4—41no—
1625C4—42no—
1626C4#348014yes—
1627C4#348214yes—
1628C2—42no—
1629C2—44no—
1630C2—42no—
1631C2C2×#348011yescharacteristic
1632C2C2×#348211yescharacteristic
1633C2#41211yescharacteristic
1634C2#6299111yescharacteristic
1635C2#6299111yescharacteristic
1636C2#6300111yescharacteristic
1637C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59895C2semidirect
2. #59879C2semidirect
3. #59859C2semidirect
4. #59784C2semidirect
5. #59723C2semidirect
6. #59718C2semidirect
7. #59718C2semidirect
8. #59672C2semidirect
9. #59631C2semidirect
11. #59079C2semidirect
12. #59052C2semidirect
13. #36600C2semidirect
14. #36599C2semidirect
15. #36454C2semidirect
16. #36452C2semidirect
17. #36451C2semidirect
18. #36450C2semidirect
19. #36408C2semidirect
20. #36400C2semidirect
21. #36384C2semidirect
22. #36382C2semidirect
23. #36313C2semidirect
24. #36272C2semidirect
25. #36272C2semidirect
26. #36256C2semidirect
27. #36151C2semidirect
28. #36116C2semidirect
29. C4×#554C2semidirect
31. C4×#552C2semidirect
32. C4×#552C2semidirect
33. #34151C2semidirect
34. #34145C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#598952
#598792
#598592
#597842
#597232
#597182
#596722
#596312
#591212
#590792
#590522
#366002
#365992
#364542
#364522
#364512
#364502
#364082
#364002
#363842
#363822
#363132
#362722
#362562
#361512
#361162
C4×#5542
C4×#5532
C4×#5522
#341512
#341452