Finite Group Databasebeta

← #7689589

Subgroups — #7689589

Order 512.

4827 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59854C212yesmaximal, complemented
3#59782C214yesmaximal, complemented
4#59750C212yesmaximal, complemented
5#59433C212yesmaximal, complemented
6#59217C211yesmaximal, characteristic, complemented
7#59212C212yesmaximal, complemented
8#59212C211yesmaximal, characteristic, complemented
9#45400C212yesmaximal, complemented
10#44912C212yesmaximal, complemented
11#44547C214yesmaximal, complemented
12#43616C214yesmaximal, complemented
13#39795C212yesmaximal, complemented
14#39754C211yesmaximal, characteristic, complemented
15#39218C212yesmaximal, complemented
16#39126C211yesmaximal, characteristic, complemented
17#38689C214yesmaximal, complemented
18#37960C212yesmaximal, complemented
19#36492C211yesmaximal, characteristic, complemented
20#36484C212yesmaximal, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36459C211yesmaximal, characteristic, complemented
23#36417C212yesmaximal, complemented
24#36301C211yesmaximal, characteristic, complemented
25#36294C212yesmaximal, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36062C212yesmaximal, complemented
28#36017C212yesmaximal, complemented
29#34915C212yesmaximal, complemented
30#34727C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34301C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#553C2212yes—
39C2×#529C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2865C2214yes—
42#2864C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2854C2212yes—
48#2851C2212yes—
49#2808C2214yes—
50#2803C2214yes—
51#2803C2214yes—
52#2803C2214yes—
53#2803C2214yes—
54#2802C2214yes—
55#2797C2214yes—
56#2789C2214yes—
57#2787C2214yes—
58#2786C2214yes—
59#2783C2214yes—
60#2781C2214yes—
61#2778C2214yes—
62#2778C2214yes—
63#2778C2214yes—
64#2774C2214yes—
65#2756C2214yes—
66#2715C2214yes—
67#2714C2214yes—
68#2702C2214yes—
69#2681C2214yes—
70#2661C2214yes—
71#2660C2212yes—
72#2648C2214yes—
73#2629C2212yes—
74#2602C2214yes—
75#2597C2214yes—
76#2597C2214yes—
77#2596C2214yes—
78#2596C2214yes—
79#2596C2214yes—
80#2596C2214yes—
81#2595C2214yes—
82#2595C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2594C2214yes—
86#2593C2214yes—
87#2592C2214yes—
88#2591C2214yes—
89#2588C2214yes—
90#2584C2212yes—
91#2581C2212yes—
92#2577C2214yes—
93#2576C2214yes—
94#2571C2212yes—
95#2571C2211yescharacteristic
96#2570C2212yes—
97#2563C2211yescharacteristic
98#2563C2211yescharacteristic
99#2562C2212yes—
100#2562C2212yes—
101#2562C2212yes—
102#2562C2212yes—
103#2562C2212yes—
104#2560C2214yes—
105#2559C2214yes—
106#2555C2214yes—
107#2555C2214yes—
108#2552C2211yescharacteristic
109#2548C2212yes—
110#2547C2212yes—
111#2543C2214yes—
112#2537C2211yescharacteristic
113#2537C2212yes—
114#2537C2212yes—
115#2537C2211yescharacteristic
116#2536C2212yes—
117#2535C2212yes—
118#2535C2212yes—
119#2535C2212yes—
120#2532C2214yes—
121#2530C2214yes—
122#2529C2214yes—
123#2528C2214yes—
124#2527C2214yes—
125#2526C2214yes—
126#2524C2214yes—
127#2521C2214yes—
128#2521C2214yes—
129#2518C2214yes—
130#2518C2214yes—
131#2514C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2509C2212yes—
135#2508C2212yes—
136#2504C2214yes—
137#2504C2212yes—
138#2498C2214yes—
139#2497C2212yes—
140#2496C2212yes—
141#2496C2212yes—
142#2495C2212yes—
143#2495C2212yes—
144#2494C2212yes—
145#2494C2214yes—
146#2494C2212yes—
147#2494C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2494C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2485C2212yes—
154#2485C2212yes—
155#2485C2212yes—
156#2485C2212yes—
157#2485C2212yes—
158#2485C2212yes—
159#2485C2212yes—
160#2481C2214yes—
161#2479C2212yes—
162#2478C2214yes—
163#2477C2214yes—
164#2477C2214yes—
165#2476C2214yes—
166#2476C2214yes—
167#2474C2214yes—
168#2471C2212yes—
169#2467C2212yes—
170#2463C2214yes—
171#2456C2212yes—
172#2454C2211yescharacteristic
173#2453C2212yes—
174#2448C2211yescharacteristic
175#2442C2212yes—
176#2441C2211yescharacteristic
177#2431C2211yescharacteristic
178#2428C2212yes—
179#2428C2211yescharacteristic
180#2426C2212yes—
181#2423C2211yescharacteristic
182#2421C2212yes—
183#2421C2212yes—
184#2420C2212yes—
185#2416C2212yes—
186#2416C2212yes—
187#2415C2212yes—
188#2414C2214yes—
189#2414C2212yes—
190#2414C2211yescharacteristic
191#2407C2212yes—
192#2407C2211yescharacteristic
193#2401C2214yes—
194#2397C2212yes—
195#2395C2214yes—
196#2392C2212yes—
197#2373C2214yes—
198#2373C2214yes—
199#2372C2212yes—
200#2372C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2369C2211yescharacteristic
204#2369C2211yescharacteristic
205#2363C2212yes—
206#2363C2211yescharacteristic
207#2363C2212yes—
208#2363C2212yes—
209#2363C2214yes—
210#2363C2212yes—
211#2363C2211yescharacteristic
212#2362C2212yes—
213#2362C2212yes—
214#2361C2212yes—
215#2360C2214yes—
216#2360C2212yes—
217#2359C2214yes—
218#2355C2212yes—
219#2355C2211yescharacteristic
220#2354C2212yes—
221#2354C2211yescharacteristic
222#2354C2212yes—
223#2354C2212yes—
224#2354C2211yescharacteristic
225#2354C2212yes—
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2354C2211yescharacteristic
230#2353C2214yes—
231#2352C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2214yes—
236#2352C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242#2347C2212yes—
243#2347C2212yes—
244#2346C2214yes—
245#2346C2212yes—
246#2346C2211yescharacteristic
247#2346C2212yes—
248#2346C2211yescharacteristic
249#2345C2212yes—
250#2345C2212yes—
251#2344C2212yes—
252#2341C2212yes—
253#2335C2214yes—
254#2335C2214yes—
255#2333C2214yes—
256#2330C2212yes—
257#2330C2212yes—
258#2329C2214yes—
259#2324C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#126C2214yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×#121C2212yes—
272C4×#121C2211yescharacteristic
273C4×#121C2211yescharacteristic
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2212yes—
279#2298C2214yes—
280#2295C2211yescharacteristic
281#2293C2214yes—
282#2293C2214yes—
283#2293C2212yes—
284#2293C2212yes—
285C2×#389C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2275C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#555—28no—
301#554—28no—
302#553—216no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×#127C2311yescharacteristic
306#529—28no—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2314yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C4×#41—28no—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2314yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2312yes—
393#401C2314yes—
394#401C2314yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2312yes—
408#399C2312yes—
409#399C2312yes—
410#399C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#395C2314yes—
441#395C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#392C2314yes—
464#392C2312yes—
465#392C2312yes—
466#392C2312yes—
467#392C2312yes—
468#392C2312yes—
469#392C2314yes—
470#392C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#390C2314yes—
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#387C2312yes—
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#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#383C2314yes—
684#383C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#381C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853#127—42no—
854#126—28no—
855#126—216no—
856#126—84no—
857#125—24no—
858#125—28no—
859#125—28no—
860#125—44no—
861#124—24no—
862#124—28no—
863#124—28no—
864#124—84no—
865#123—216no—
866#123—28no—
867C22⋊Q8—24no—
868C22⋊Q8—28no—
869C22⋊Q8—216no—
870C22⋊Q8—44no—
871C22⋊Q8—82no—
872#121—28no—
873#121—28no—
874#121—24no—
875#121—24no—
876#121—28no—
877#121—24no—
878#121—216no—
879#121—44no—
880#121—42no—
881#121—44no—
882#121—44no—
883#121—42no—
884#121—84no—
885#121—84no—
886C4×Q8—24no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—82no—
891C4×Q8#4118yes—
892C4×D4—216no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—42no—
914C4×D4#4118yescomplemented
915#117—28no—
916#117—24no—
917#117—28no—
918#117—28no—
919#117—24no—
920#117—24no—
921#117—28no—
922#117—48no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—42no—
927#117—42no—
928#117—44no—
929#117—82no—
930#117—84no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—84no—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—24no—
1060C2×C42—28no—
1061C2×C42—24no—
1062C2×C42—44no—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2512yes—
1170C24C2511yescharacteristic
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C24C2512yes—
1174#41—416no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8C2×#4114yes—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4C2×#4114yes—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4C2×#4118yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—28no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—41no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4C2×#4114yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4118yes—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—41no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4C2×#4118yes—
1428C42—22no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—28no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—22no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—44no—
1451C42—44no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—42no—
1458C42—44no—
1459C42—41no—
1460C42—44no—
1461C42—44no—
1462C42—41no—
1463C42—44no—
1464C42—42no—
1465C42C2×#4114yes—
1466C42C2×#4118yes—
1467C42C2×#4114yes—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23C22×#4114yes—
1503C23C2611yescharacteristic
1504Q8—28no—
1505Q8—84no—
1506Q8—84no—
1507D4—28no—
1508D4—44no—
1509D4—48no—
1510D4—44no—
1511D4—44no—
1512D4—84no—
1513D4—84no—
1514D4—88no—
1515D4—84no—
1516D4—84no—
1517D4—88no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—44no—
1601C2×C4—48no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—88no—
1610C2×C4—82no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—164no—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4#58512yes—
1624C2×C4#58512yes—
1625C2×C4#58512yes—
1626C2×C4#58512yes—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22C23×#4111yescharacteristic
1663C22C23×#4111yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22C2×#58511yescharacteristic
1668C22H(7,𝔽2)11yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—24no—
1672C4—22no—
1673C4—24no—
1674C4—22no—
1675C4—24no—
1676C4—44no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—44no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—41no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—44no—
1689C4—42no—
1690C4—41no—
1691C4—44no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—42no—
1697C4#348014yes—
1698C4#349314yes—
1699C2—44no—
1700C2—82no—
1701C2—81no—
1702C2—81no—
1703C2—82no—
1704C2C2×#348011yescharacteristic
1705C2C2×#349311yescharacteristic
1706C2#6278111yescharacteristic
1707C2#6293711yescharacteristic
1708C2#6299411yescharacteristic
1709C2#6300811yescharacteristic
1710C2#6303111yescharacteristic
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. #59863C2semidirect
2. #59854C2semidirect
3. #59782C2semidirect
4. #59750C2semidirect
5. #59433C2semidirect
6. #59217C2semidirect
7. #59212C2semidirect
8. #59212C2semidirect
9. #45400C2semidirect
10. #44912C2semidirect
11. #44547C2semidirect
12. #43616C2semidirect
13. #39795C2semidirect
14. #39754C2semidirect
15. #39218C2semidirect
16. #39126C2semidirect
17. #38689C2semidirect
18. #37960C2semidirect
19. #36492C2semidirect
20. #36484C2semidirect
21. #36468C2semidirect
22. #36459C2semidirect
23. #36417C2semidirect
24. #36301C2semidirect
25. #36294C2semidirect
26. #36210C2semidirect
27. #36062C2semidirect
28. #36017C2semidirect
29. #34915C2semidirect
30. #34727C2semidirect
31. #34332C2semidirect
32. #34301C2semidirect
33. #34242C2semidirect
34. C4×#555C2semidirect
35. #34129C2semidirect
914. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598632
#598542
#597822
#597502
#594332
#592172
#592122
#454002
#449122
#445472
#436162
#397952
#397542
#392182
#391262
#386892
#379602
#364922
#364842
#364682
#364592
#364172
#363012
#362942
#362102
#360622
#360172
#349152
#347272
#343322
#343012
#342422
C4×#5552
#341292