Finite Group Databasebeta

← #7690048

Subgroups — #7690048

Order 512.

4933 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59896C212yesmaximal, complemented
2#59896C212yesmaximal, complemented
3#59892C214yesmaximal, complemented
4#59864C211yesmaximal, characteristic, complemented
5#59581C212yesmaximal, complemented
6#59487C212yesmaximal, complemented
7#59039C211yesmaximal, characteristic, complemented
8#59033C211yesmaximal, characteristic, complemented
9#45401C212yesmaximal, complemented
10#44912C212yesmaximal, complemented
11#44634C214yesmaximal, complemented
12#43242C214yesmaximal, complemented
13#39525C212yesmaximal, complemented
14#39515C211yesmaximal, characteristic, complemented
15#39035C212yesmaximal, complemented
16#38931C211yesmaximal, characteristic, complemented
17#38726C214yesmaximal, complemented
18#38276C212yesmaximal, complemented
19#36526C212yesmaximal, complemented
20#36449C211yesmaximal, characteristic, complemented
21#36394C212yesmaximal, complemented
22#36314C211yesmaximal, characteristic, complemented
23#36301C211yesmaximal, characteristic, complemented
24#36286C211yesmaximal, characteristic, complemented
25#36241C212yesmaximal, complemented
26#36149C211yesmaximal, characteristic, complemented
27#36019C212yesmaximal, complemented
28#35849C212yesmaximal, complemented
29#34918C212yesmaximal, complemented
30#34800C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34232C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#532C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2212yes—
41#2864C2212yes—
42#2864C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2852C2214yes—
49#2804C2214yes—
50#2798C2214yes—
51#2797C2214yes—
52#2797C2214yes—
53#2786C2214yes—
54#2759C2214yes—
55#2758C2214yes—
56#2756C2214yes—
57#2753C2214yes—
58#2752C2214yes—
59#2751C2214yes—
60#2747C2214yes—
61#2745C2214yes—
62#2745C2214yes—
63#2741C2214yes—
64#2737C2214yes—
65#2737C2214yes—
66#2714C2214yes—
67#2698C2214yes—
68#2688C2214yes—
69#2686C2214yes—
70#2653C2214yes—
71#2647C2212yes—
72#2631C2214yes—
73#2628C2212yes—
74#2610C2214yes—
75#2610C2214yes—
76#2605C2214yes—
77#2599C2214yes—
78#2599C2214yes—
79#2597C2214yes—
80#2597C2214yes—
81#2597C2214yes—
82#2595C2214yes—
83#2592C2212yes—
84#2591C2214yes—
85#2588C2214yes—
86#2581C2212yes—
87#2581C2212yes—
88#2580C2212yes—
89#2580C2212yes—
90#2580C2212yes—
91#2580C2212yes—
92#2578C2214yes—
93#2578C2214yes—
94#2577C2214yes—
95#2577C2214yes—
96#2575C2214yes—
97#2575C2214yes—
98#2572C2214yes—
99#2571C2211yescharacteristic
100#2571C2211yescharacteristic
101#2570C2212yes—
102#2570C2212yes—
103#2568C2211yescharacteristic
104#2567C2211yescharacteristic
105#2563C2211yescharacteristic
106#2563C2212yes—
107#2563C2212yes—
108#2557C2214yes—
109#2547C2211yescharacteristic
110#2544C2212yes—
111#2537C2212yes—
112#2535C2212yes—
113#2535C2212yes—
114#2533C2214yes—
115#2532C2212yes—
116#2530C2214yes—
117#2530C2214yes—
118#2527C2214yes—
119#2526C2212yes—
120#2523C2214yes—
121#2518C2212yes—
122#2516C2214yes—
123#2516C2214yes—
124#2516C2214yes—
125#2514C2212yes—
126#2513C2211yescharacteristic
127#2511C2212yes—
128#2511C2212yes—
129#2510C2214yes—
130#2510C2214yes—
131#2508C2212yes—
132#2508C2211yescharacteristic
133#2500C2211yescharacteristic
134#2499C2212yes—
135#2498C2214yes—
136#2497C2211yescharacteristic
137#2496C2212yes—
138#2496C2212yes—
139#2495C2212yes—
140#2495C2212yes—
141#2495C2212yes—
142#2495C2212yes—
143#2494C2212yes—
144#2494C2212yes—
145#2494C2212yes—
146#2493C2214yes—
147#2493C2214yes—
148#2493C2214yes—
149#2491C2211yescharacteristic
150#2487C2214yes—
151#2485C2212yes—
152#2485C2212yes—
153#2485C2211yescharacteristic
154#2481C2214yes—
155#2481C2214yes—
156#2481C2214yes—
157#2477C2214yes—
158#2476C2214yes—
159#2467C2214yes—
160#2467C2214yes—
161#2467C2214yes—
162#2459C2212yes—
163#2458C2214yes—
164#2451C2212yes—
165#2448C2212yes—
166#2447C2212yes—
167#2447C2212yes—
168#2447C2212yes—
169#2445C2212yes—
170#2444C2214yes—
171#2444C2214yes—
172#2439C2211yescharacteristic
173#2431C2212yes—
174#2430C2214yes—
175#2428C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2422C2212yes—
180#2421C2212yes—
181#2421C2212yes—
182#2421C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2414C2211yescharacteristic
189#2407C2212yes—
190#2407C2212yes—
191#2407C2212yes—
192#2407C2212yes—
193#2398C2212yes—
194#2398C2214yes—
195#2395C2214yes—
196#2392C2212yes—
197#2373C2212yes—
198#2373C2212yes—
199#2372C2214yes—
200#2369C2211yescharacteristic
201#2369C2211yescharacteristic
202#2367C2212yes—
203#2366C2212yes—
204#2366C2211yescharacteristic
205#2366C2211yescharacteristic
206#2366C2211yescharacteristic
207#2365C2211yescharacteristic
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2363C2212yes—
211#2363C2212yes—
212#2363C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2362C2211yescharacteristic
217#2362C2211yescharacteristic
218#2362C2212yes—
219#2361C2212yes—
220#2361C2214yes—
221#2356C2212yes—
222#2356C2212yes—
223#2356C2212yes—
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2354C2211yescharacteristic
227#2353C2214yes—
228#2353C2214yes—
229#2352C2212yes—
230#2352C2212yes—
231#2352C2214yes—
232Q8×C4⋊C4C2211yescharacteristic
233#2349C2212yes—
234#2349C2212yes—
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2212yes—
238D4×C4⋊C4C2212yes—
239#2347C2211yescharacteristic
240#2347C2211yescharacteristic
241#2345C2212yes—
242#2344C2212yes—
243#2343C2214yes—
244#2343C2214yes—
245#2343C2214yes—
246#2341C2212yes—
247#2341C2212yes—
248#2339C2212yes—
249#2339C2212yes—
250#2339C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2339C2212yes—
254#2333C2214yes—
255#2324C2214yes—
256#2324C2212yes—
257#2320C2212yes—
258#2319C2212yes—
259#2318C2214yes—
260#2314C2212yes—
261#2313C2214yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2212yes—
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×#123C2214yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278#2298C2212yes—
279#2297C2214yes—
280#2295C2212yes—
281#2295C2212yes—
282#2293C2212yes—
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287#2290C2214yes—
288C2×#387C2214yes—
289#2283C2211yescharacteristic
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#556—28no—
303#550—28no—
304#532—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2311yescharacteristic
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2314yes—
334#520—216no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2314yes—
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2314yes—
385#401C2314yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#396C2312yes—
431#396C2312yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2312yes—
449#394C2312yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2312yes—
456#393C2314yes—
457#393C2312yes—
458#392C2314yes—
459#392C2314yes—
460#392C2312yes—
461#392C2314yes—
462#392C2314yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2314yes—
488#390C2312yes—
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
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#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#383C2312yes—
677#383C2312yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2314yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2314yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C22⋊C4C2311yescharacteristic
768C4×C22⋊C4C2311yescharacteristic
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—82no—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—24no—
858C4⋊Q8—42no—
859#127—28no—
860#127#4118yes—
861#126—28no—
862#126—28no—
863#126—84no—
864#124—28no—
865#124—28no—
866#124—28no—
867#124—44no—
868#124—44no—
869#123—48no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—44no—
873C22⋊Q8—82no—
874#121—28no—
875#121—28no—
876#121—28no—
877#121—28no—
878#121—28no—
879#121—216no—
880#121—42no—
881#121—42no—
882#121—84no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8#4118yescomplemented
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—216no—
900C4×D4—28no—
901C4×D4—216no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4—42no—
915C4×D4—82no—
916C4×D4—84no—
917#117—24no—
918#117—24no—
919#117—28no—
920#117—216no—
921#117—48no—
922#117—42no—
923#117—42no—
924#117—42no—
925#117—42no—
926#117—84no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—216no—
929C2×C4⋊C4—84no—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—84no—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2414yes—
1129#95C2414yes—
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2511yescharacteristic
1166C24C2511yescharacteristic
1167C24C2512yes—
1168C24C2514yes—
1169#41—432no—
1170#41—816no—
1171#41—816no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8C2×#4114yes—
1187C2×D4—28no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4C2×#4118yes—
1218C2×D4C2×#4118yes—
1219C2×D4C2×#4118yes—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—41no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—41no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—41no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4C2511yescharacteristic
1266C22×C4C2514yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—41no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4C2×#4118yes—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—41no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—28no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—44no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—41no—
1440C42—42no—
1441C42—41no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42C2×#4114yes—
1448C42C2×#4114yes—
1449C42C2×#4118yes—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23—24no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23C22×#4118yes—
1478C23C2611yescharacteristic
1479Q8—28no—
1480Q8—48no—
1481Q8—48no—
1482Q8—84no—
1483Q8—84no—
1484D4—216no—
1485D4—216no—
1486D4—48no—
1487D4—416no—
1488D4—44no—
1489D4—44no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—84no—
1494D4—84no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—44no—
1577C2×C4—416no—
1578C2×C4—416no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—82no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—164no—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4114yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C22—28no—
1604C22—28no—
1605C22—28no—
1606C22—44no—
1607C22—44no—
1608C22—44no—
1609C22—44no—
1610C22—41no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22C23×#4111yescharacteristic
1632C22C23×#4111yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22H(7,𝔽2)11yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—24no—
1641C4—22no—
1642C4—22no—
1643C4—24no—
1644C4—44no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—44no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4#347514yes—
1668C4#352114yes—
1669C2—48no—
1670C2—81no—
1671C2—81no—
1672C2—82no—
1673C2C2×#347511yescharacteristic
1674C2C2×#352111yescharacteristic
1675C2#6279311yescharacteristic
1676C2#6293811yescharacteristic
1677C2#6299011yescharacteristic
1678C2#6301011yescharacteristic
1679C2#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. #59896C2semidirect
2. #59896C2semidirect
3. #59892C2semidirect
4. #59864C2semidirect
5. #59581C2semidirect
6. #59487C2semidirect
7. #59039C2semidirect
8. #59033C2semidirect
9. #45401C2semidirect
10. #44912C2semidirect
11. #44634C2semidirect
12. #43242C2semidirect
13. #39525C2semidirect
14. #39515C2semidirect
15. #39035C2semidirect
16. #38931C2semidirect
17. #38726C2semidirect
18. #38276C2semidirect
19. #36526C2semidirect
20. #36449C2semidirect
21. #36394C2semidirect
22. #36314C2semidirect
23. #36301C2semidirect
24. #36286C2semidirect
25. #36241C2semidirect
26. #36149C2semidirect
27. #36019C2semidirect
28. #35849C2semidirect
29. #34918C2semidirect
30. #34800C2semidirect
31. #34313C2semidirect
32. #34260C2semidirect
33. #34232C2semidirect
34. C4×#556C2semidirect
35. #34155C2semidirect
892. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598962
#598922
#598642
#595812
#594872
#590392
#590332
#454012
#449122
#446342
#432422
#395252
#395152
#390352
#389312
#387262
#382762
#365262
#364492
#363942
#363142
#363012
#362862
#362412
#361492
#360192
#358492
#349182
#348002
#343132
#342602
#342322
C4×#5562
#341552