Finite Group Databasebeta

← #7677809

Subgroups — #7677809

Order 512.

4773 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59330C212yesmaximal, complemented
2#59312C211yesmaximal, characteristic, complemented
3#59307C212yesmaximal, complemented
4#59302C211yesmaximal, characteristic, complemented
5#59250C212yesmaximal, complemented
6#59249C211yesmaximal, characteristic, complemented
7#59245C211yesmaximal, characteristic, complemented
8#59243C211yesmaximal, characteristic, complemented
9#59237C212yesmaximal, complemented
10#59233C211yesmaximal, characteristic, complemented
11#59228C211yesmaximal, characteristic, complemented
12#59211C211yesmaximal, characteristic, complemented
13#45259C212yesmaximal, complemented
14#45236C212yesmaximal, complemented
15#45127C212yesmaximal, complemented
16#45126C212yesmaximal, complemented
17#43955C214yesmaximal, complemented
18#43950C214yesmaximal, complemented
19#40235C214yesmaximal, complemented
20#40009C212yesmaximal, complemented
21#40007C212yesmaximal, complemented
22#38634C214yesmaximal, complemented
23#36459C212yesmaximal, complemented
24#36417C212yesmaximal, complemented
25#35655C212yesmaximal, complemented
26#35590C212yesmaximal, complemented
27#35239C211yesmaximal, characteristic, complemented
28#35161C212yesmaximal, complemented
29#34976C211yesmaximal, characteristic, complemented
30#34909C211yesmaximal, characteristic, complemented
31#34300C212yesmaximal, complemented
32#34193C211yesmaximal, characteristic, complemented
33#34188C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#537C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2865C2214yes—
42#2860C2214yes—
43#2857C2212yes—
44#2851C2212yes—
45#2797C2214yes—
46#2793C2214yes—
47#2788C2214yes—
48#2786C2214yes—
49#2785C2214yes—
50#2779C2214yes—
51#2779C2214yes—
52#2777C2214yes—
53#2769C2214yes—
54#2767C2214yes—
55#2759C2214yes—
56#2756C2214yes—
57#2753C2214yes—
58#2747C2214yes—
59#2741C2214yes—
60#2741C2214yes—
61#2737C2214yes—
62#2730C2214yes—
63#2721C2214yes—
64#2714C2214yes—
65#2703C2214yes—
66#2703C2214yes—
67#2696C2214yes—
68#2690C2214yes—
69#2666C2214yes—
70#2649C2214yes—
71#2648C2214yes—
72#2610C2214yes—
73#2609C2214yes—
74#2600C2212yes—
75#2600C2212yes—
76#2599C2212yes—
77#2598C2212yes—
78#2597C2214yes—
79#2597C2214yes—
80#2596C2214yes—
81#2595C2214yes—
82#2594C2214yes—
83#2593C2214yes—
84#2589C2214yes—
85#2588C2214yes—
86#2582C2211yescharacteristic
87#2581C2211yescharacteristic
88#2580C2211yescharacteristic
89#2577C2214yes—
90#2576C2214yes—
91#2574C2214yes—
92#2572C2214yes—
93#2571C2211yescharacteristic
94#2570C2212yes—
95#2570C2212yes—
96#2570C2212yes—
97#2568C2212yes—
98#2563C2212yes—
99#2563C2212yes—
100#2562C2212yes—
101#2560C2214yes—
102#2560C2214yes—
103#2560C2214yes—
104#2557C2214yes—
105#2554C2214yes—
106#2552C2211yescharacteristic
107#2552C2212yes—
108#2552C2211yescharacteristic
109#2551C2211yescharacteristic
110#2550C2212yes—
111#2538C2211yescharacteristic
112#2538C2211yescharacteristic
113#2537C2211yescharacteristic
114#2536C2212yes—
115#2536C2211yescharacteristic
116#2535C2211yescharacteristic
117#2533C2214yes—
118#2532C2214yes—
119#2532C2214yes—
120#2532C2214yes—
121#2530C2214yes—
122#2530C2214yes—
123#2528C2214yes—
124#2527C2214yes—
125#2526C2214yes—
126#2526C2214yes—
127#2525C2214yes—
128#2524C2214yes—
129#2521C2214yes—
130#2520C2214yes—
131#2516C2214yes—
132#2513C2212yes—
133#2513C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2511C2212yes—
137#2511C2212yes—
138#2509C2212yes—
139#2509C2212yes—
140#2504C2212yes—
141#2501C2212yes—
142#2500C2212yes—
143#2500C2212yes—
144#2499C2212yes—
145#2499C2212yes—
146#2497C2212yes—
147#2496C2212yes—
148#2496C2212yes—
149#2496C2212yes—
150#2495C2212yes—
151#2495C2212yes—
152#2495C2214yes—
153#2494C2212yes—
154#2494C2212yes—
155#2492C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2490C2212yes—
159#2490C2212yes—
160#2490C2214yes—
161#2489C2212yes—
162#2486C2212yes—
163#2485C2211yescharacteristic
164#2485C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2485C2211yescharacteristic
168#2481C2214yes—
169#2478C2214yes—
170#2476C2214yes—
171#2476C2214yes—
172#2467C2214yes—
173#2466C2214yes—
174#2457C2214yes—
175#2447C2214yes—
176#2442C2212yes—
177#2441C2212yes—
178#2440C2212yes—
179#2439C2212yes—
180#2438C2214yes—
181#2423C2212yes—
182#2421C2212yes—
183#2417C2212yes—
184#2415C2212yes—
185#2414C2212yes—
186#2414C2212yes—
187#2414C2212yes—
188#2414C2212yes—
189#2413C2214yes—
190#2407C2211yescharacteristic
191#2407C2212yes—
192#2407C2211yescharacteristic
193#2407C2212yes—
194#2395C2212yes—
195#2392C2214yes—
196#2388C2212yes—
197#2374C2214yes—
198#2373C2214yes—
199#2371C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2369C2212yes—
203#2362C2212yes—
204#2362C2212yes—
205#2357C2212yes—
206#2356C2212yes—
207#2355C2212yes—
208#2355C2211yescharacteristic
209#2355C2211yescharacteristic
210#2355C2212yes—
211#2355C2212yes—
212#2354C2212yes—
213#2354C2212yes—
214#2354C2212yes—
215#2354C2211yescharacteristic
216#2354C2211yescharacteristic
217#2354C2212yes—
218#2354C2211yescharacteristic
219#2354C2211yescharacteristic
220#2354C2212yes—
221#2354C2212yes—
222#2353C2214yes—
223#2352C2212yes—
224#2352C2212yes—
225#2352C2212yes—
226#2352C2212yes—
227#2352C2212yes—
228#2352C2212yes—
229#2352C2212yes—
230Q8×C4⋊C4C2211yescharacteristic
231Q8×C4⋊C4C2211yescharacteristic
232#2347C2214yes—
233#2347C2212yes—
234#2347C2212yes—
235#2347C2212yes—
236#2346C2212yes—
237#2346C2212yes—
238#2346C2214yes—
239#2345C2212yes—
240#2344C2212yes—
241#2341C2212yes—
242#2335C2214yes—
243#2334C2214yes—
244#2331C2212yes—
245#2330C2212yes—
246#2325C2212yes—
247#2325C2212yes—
248#2324C2211yescharacteristic
249#2324C2211yescharacteristic
250#2324C2212yes—
251#2323C2212yes—
252#2323C2211yescharacteristic
253#2323C2211yescharacteristic
254#2319C2212yes—
255#2319C2214yes—
256#2316C2211yescharacteristic
257#2314C2212yes—
258#2314C2212yes—
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2212yes—
262C4×#125C2214yes—
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2212yes—
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2212yes—
270C4×#121C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2211yescharacteristic
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279#2298C2214yes—
280#2298C2214yes—
281#2297C2212yes—
282#2290C2212yes—
283#2290C2212yes—
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2212yes—
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2283C2212yes—
294#2276C2212yes—
295#2274C2212yes—
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302#552—216no—
303#537—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C4×#41—28no—
333C4×#41—28no—
334C4×#41—28no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389C22×C42C2311yescharacteristic
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2312yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#395C2312yes—
442#395C2314yes—
443#394C2312yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2312yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#392C2312yes—
465#392C2312yes—
466#392C2312yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2314yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2314yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
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#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#386C2312yes—
639#386C2312yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#383C2314yes—
686#383C2314yes—
687#383C2312yes—
688#383C2314yes—
689#383C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2314yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2314yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811#376C2314yes—
812#376C2314yes—
813C2×#95C2312yes—
814C43C2314yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—42no—
823C2×#41—42no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#126—216no—
861#126—84no—
862#126—84no—
863#125—216no—
864#125—28no—
865#125—44no—
866#124—84no—
867#123—216no—
868#123—84no—
869C22⋊Q8—24no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—44no—
873C22⋊Q8—42no—
874C22⋊Q8—42no—
875C22⋊Q8—84no—
876C22⋊Q8#4118yescomplemented
877#121—24no—
878#121—24no—
879#121—28no—
880#121—28no—
881#121—28no—
882#121—42no—
883#121—42no—
884#121—44no—
885#121—44no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—84no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—28no—
917#117—216no—
918#117—24no—
919#117—24no—
920#117—28no—
921#117—28no—
922#117—44no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—82no—
929#117—82no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—24no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4—42no—
934C2×C4⋊C4—82no—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—28no—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—28no—
1063C2×C42—44no—
1064C2×C42#4118yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2512yes—
1171C24C2512yes—
1172C24C2511yescharacteristic
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175#41—416no—
1176#41—416no—
1177#41—416no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—41no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8C2×#4114yes—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4C2×#4114yes—
1277C22×C4C2×#4114yes—
1278C22×C4C2×#4114yes—
1279C22×C4C2×#4114yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4C2×#4114yes—
1376C4⋊C4C2×#4118yes—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4C2×#4118yes—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—24no—
1445C42—22no—
1446C42—28no—
1447C42—28no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42C2×#4114yes—
1466C42C2×#4114yes—
1467C42C2×#4114yes—
1468C42C2×#4114yes—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—21no—
1502C23C22×#4112yes—
1503C23C22×#4112yes—
1504C23C2611yescharacteristic
1505Q8—28no—
1506Q8—44no—
1507Q8—44no—
1508Q8—164no—
1509D4—44no—
1510D4—44no—
1511D4—48no—
1512D4—44no—
1513D4—48no—
1514D4—44no—
1515D4—44no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—88no—
1520D4—84no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—28no—
1536C2×C4—28no—
1537C2×C4—28no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—88no—
1615C2×C4—84no—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4114yes—
1621C2×C4C22×#4114yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4#58512yes—
1627C2×C4#58512yes—
1628C2×C4#58512yes—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22C23×#4111yescharacteristic
1665C22C23×#4111yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22C2×#58511yescharacteristic
1668C22C2×#58511yescharacteristic
1669C22H(7,𝔽2)11yescharacteristic
1670C222−1+611yescharacteristic
1671C4—24no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—24no—
1678C4—42no—
1679C4—42no—
1680C4—44no—
1681C4—44no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—41no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—44no—
1698C4—42no—
1699C4#347514yes—
1700C4#349314yes—
1701C2—42no—
1702C2—42no—
1703C2—81no—
1704C2—82no—
1705C2—82no—
1706C2C2×#347511yescharacteristic
1707C2C2×#349311yescharacteristic
1708C2#6285611yescharacteristic
1709C2#6293811yescharacteristic
1710C2#6296711yescharacteristic
1711C2#6299511yescharacteristic
1712C2#6300611yescharacteristic
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. #59330C2semidirect
2. #59312C2semidirect
3. #59307C2semidirect
4. #59302C2semidirect
5. #59250C2semidirect
6. #59249C2semidirect
7. #59245C2semidirect
8. #59243C2semidirect
9. #59237C2semidirect
10. #59233C2semidirect
11. #59228C2semidirect
12. #59211C2semidirect
13. #45259C2semidirect
14. #45236C2semidirect
15. #45127C2semidirect
16. #45126C2semidirect
17. #43955C2semidirect
18. #43950C2semidirect
19. #40235C2semidirect
20. #40009C2semidirect
21. #40007C2semidirect
22. #38634C2semidirect
23. #36459C2semidirect
24. #36417C2semidirect
25. #35655C2semidirect
26. #35590C2semidirect
27. #35239C2semidirect
28. #35161C2semidirect
29. #34976C2semidirect
30. #34909C2semidirect
31. #34300C2semidirect
32. #34193C2semidirect
33. #34188C2semidirect
34. #34121C2semidirect
35. C4×#537C2semidirect
876. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#593302
#593122
#593072
#593022
#592502
#592492
#592452
#592432
#592372
#592332
#592282
#592112
#452592
#452362
#451272
#451262
#439552
#439502
#402352
#400092
#400072
#386342
#364592
#364172
#356552
#355902
#352392
#351612
#349762
#349092
#343002
#341932
#341882
#341212
C4×#5372