Finite Group Databasebeta

← #7968141

Subgroups — #7968141

Order 512.

5272 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59806C212yesmaximal, complemented
2#59677C212yesmaximal, complemented
3#59419C211yesmaximal, characteristic, complemented
4#59304C211yesmaximal, characteristic, complemented
5#59259C211yesmaximal, characteristic, complemented
6#50528C214yesmaximal, complemented
7#48698C214yesmaximal, complemented
8#46083C212yesmaximal, complemented
9#45689C212yesmaximal, complemented
10#45406C212yesmaximal, complemented
11#45393C212yesmaximal, complemented
12#43579C214yesmaximal, complemented
13#42904C212yesmaximal, complemented
14#42838C212yesmaximal, complemented
15#40669C214yesmaximal, complemented
16#40129C212yesmaximal, complemented
17#39985C212yesmaximal, complemented
18#39743C212yesmaximal, complemented
19#39742C212yesmaximal, complemented
20#38978C211yesmaximal, characteristic, complemented
21#38909C211yesmaximal, characteristic, complemented
22#38123C212yesmaximal, complemented
23#36576C211yesmaximal, characteristic, complemented
24#36576C211yesmaximal, characteristic, complemented
25#36555C211yesmaximal, characteristic, complemented
26#36410C211yesmaximal, characteristic, complemented
27#36396C212yesmaximal, complemented
28#36182C211yesmaximal, characteristic, complemented
29#35189C211yesmaximal, characteristic, complemented
30#35186C211yesmaximal, characteristic, complemented
31#35029C212yesmaximal, complemented
32C2×#2582C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34472C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yes—
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#548C2212yes—
42C2×#548C2212yes—
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47#2864C2212yes—
48#2861C2212yes—
49#2860C2212yes—
50#2859C2211yescharacteristic
51#2856C2212yes—
52#2856C2211yescharacteristic
53#2856C2212yes—
54#2856C2211yescharacteristic
55#2854C2212yes—
56#2851C2212yes—
57#2850C2212yes—
58#2837C2214yes—
59#2829C2214yes—
60#2803C2214yes—
61#2800C2214yes—
62#2800C2214yes—
63#2783C2214yes—
64#2781C2214yes—
65#2780C2214yes—
66#2780C2214yes—
67#2779C2214yes—
68#2777C2214yes—
69#2772C2214yes—
70#2768C2214yes—
71#2761C2214yes—
72#2756C2214yes—
73#2748C2214yes—
74#2741C2214yes—
75#2740C2214yes—
76#2733C2214yes—
77#2732C2214yes—
78#2730C2214yes—
79#2730C2214yes—
80#2727C2214yes—
81#2718C2214yes—
82#2710C2214yes—
83#2708C2214yes—
84#2706C2214yes—
85#2705C2214yes—
86#2705C2214yes—
87#2701C2214yes—
88#2699C2214yes—
89#2691C2214yes—
90#2689C2214yes—
91#2682C2214yes—
92#2671C2214yes—
93#2667C2214yes—
94#2661C2214yes—
95#2656C2214yes—
96#2654C2214yes—
97#2651C2214yes—
98#2649C2214yes—
99#2644C2212yes—
100#2630C2214yes—
101#2624C2212yes—
102#2608C2214yes—
103#2601C2214yes—
104#2587C2214yes—
105#2585C2214yes—
106#2582C2212yes—
107#2582C2211yescharacteristic
108#2582C2212yes—
109#2582C2211yescharacteristic
110#2582C2214yes—
111#2582C2211yescharacteristic
112#2582C2212yes—
113#2582C2212yes—
114#2582C2211yescharacteristic
115#2573C2214yes—
116#2569C2214yes—
117#2566C2212yes—
118#2565C2212yes—
119#2560C2214yes—
120#2560C2214yes—
121#2559C2214yes—
122#2557C2214yes—
123#2557C2214yes—
124#2554C2214yes—
125#2553C2214yes—
126#2552C2211yescharacteristic
127#2548C2211yescharacteristic
128#2548C2212yes—
129#2548C2211yescharacteristic
130#2548C2212yes—
131#2544C2212yes—
132#2543C2214yes—
133#2543C2214yes—
134#2543C2214yes—
135#2543C2214yes—
136#2538C2212yes—
137#2538C2211yescharacteristic
138#2538C2212yes—
139#2538C2211yescharacteristic
140#2537C2211yescharacteristic
141#2522C2214yes—
142#2521C2214yes—
143#2512C2212yes—
144#2512C2212yes—
145#2512C2212yes—
146#2509C2212yes—
147#2508C2212yes—
148#2507C2212yes—
149#2504C2212yes—
150#2501C2212yes—
151#2500C2212yes—
152#2499C2212yes—
153#2497C2212yes—
154#2497C2212yes—
155#2496C2212yes—
156#2495C2212yes—
157#2489C2212yes—
158#2488C2214yes—
159#2487C2212yes—
160#2485C2212yes—
161#2481C2214yes—
162#2481C2212yes—
163#2476C2214yes—
164#2469C2212yes—
165#2468C2214yes—
166#2464C2214yes—
167#2458C2212yes—
168#2454C2212yes—
169#2454C2212yes—
170#2454C2212yes—
171#2453C2211yescharacteristic
172#2453C2212yes—
173#2448C2212yes—
174#2448C2212yes—
175#2448C2211yescharacteristic
176#2447C2212yes—
177#2445C2212yes—
178#2444C2214yes—
179#2444C2214yes—
180#2443C2214yes—
181#2443C2212yes—
182#2443C2214yes—
183#2442C2211yescharacteristic
184#2441C2212yes—
185#2441C2212yes—
186#2441C2212yes—
187#2436C2211yescharacteristic
188#2431C2212yes—
189#2431C2212yes—
190#2431C2212yes—
191#2428C2212yes—
192#2428C2212yes—
193#2428C2212yes—
194#2427C2212yes—
195#2426C2212yes—
196#2426C2214yes—
197#2426C2214yes—
198#2426C2212yes—
199#2426C2211yescharacteristic
200#2423C2212yes—
201#2423C2212yes—
202#2422C2212yes—
203#2422C2212yes—
204#2422C2212yes—
205#2421C2211yescharacteristic
206#2420C2212yes—
207#2420C2212yes—
208#2416C2214yes—
209#2416C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2214yes—
213#2416C2214yes—
214#2416C2214yes—
215#2416C2211yescharacteristic
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2414C2212yes—
222#2409C2211yescharacteristic
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2398C2212yes—
227#2396C2212yes—
228C2×#398C2214yes—
229#2379C2214yes—
230#2378C2214yes—
231#2367C2212yes—
232#2367C2212yes—
233#2367C2211yescharacteristic
234#2364C2214yes—
235#2364C2214yes—
236#2363C2212yes—
237#2362C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2361C2212yes—
241#2361C2212yes—
242#2361C2212yes—
243#2361C2211yescharacteristic
244#2360C2212yes—
245#2355C2212yes—
246#2354C2211yescharacteristic
247#2352C2211yescharacteristic
248#2352C2212yes—
249#2351C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252#2349C2214yes—
253D4×C4⋊C4C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255#2345C2212yes—
256#2341C2212yes—
257#2341C2212yes—
258#2341C2211yescharacteristic
259Q8×C22⋊C4C2211yescharacteristic
260#2339C2212yes—
261#2339C2212yes—
262#2337C2214yes—
263#2329C2214yes—
264#2326C2212yes—
265#2325C2214yes—
266#2325C2214yes—
267#2324C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271#2318C2214yes—
272#2311C2212yes—
273C4×#127C2211yescharacteristic
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287#2297C2212yes—
288#2295C2211yescharacteristic
289C2×#391C2212yes—
290C2×#391C2212yes—
291C2×#389C2212yes—
292C2×#389C2212yes—
293#2290C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304#553—48no—
305#553—48no—
306#550—44no—
307#550—44no—
308#548—28no—
309#548—216no—
310#548—48no—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314#529—44no—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×#121C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C4×#41—44no—
369C2×C4×Q8—44no—
370C2×C4×Q8—44no—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2312yes—
428C22×C42C2312yes—
429C22×C42C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2312yes—
490#396C2314yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#393C2312yes—
515#393C2312yes—
516#393C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2312yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2314yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2312yes—
737#383C2314yes—
738#382C2312yes—
739#382C2314yes—
740#382C2314yes—
741#382C2312yes—
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2311yescharacteristic
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815C2×#95C2314yes—
816C2×#95C2314yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—24no—
822C2×#41—28no—
823C2×#41—28no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8—42no—
833C22×Q8—42no—
834C22×Q8—42no—
835C22×Q8#4118yescomplemented
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878#127—24no—
879#127—44no—
880#127—44no—
881#126—44no—
882#126—48no—
883#126—48no—
884#126—84no—
885#125—42no—
886#125—44no—
887#125—44no—
888#124—24no—
889#124—28no—
890#124—28no—
891#124—216no—
892#124—24no—
893#124—42no—
894#124—44no—
895#124—48no—
896#123—48no—
897#123—48no—
898#123—44no—
899#123—84no—
900#123—84no—
901C22⋊Q8—24no—
902C22⋊Q8—28no—
903C22⋊Q8—28no—
904C22⋊Q8—216no—
905C22⋊Q8—24no—
906C22⋊Q8—48no—
907C22⋊Q8—42no—
908C22⋊Q8—44no—
909#121—24no—
910#121—28no—
911#121—28no—
912#121—216no—
913#121—28no—
914#121—24no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—42no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—48no—
926#121—44no—
927#121—48no—
928#121—48no—
929#121—48no—
930#121—48no—
931#121—84no—
932#121—84no—
933#121—82no—
934C4×Q8—28no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—42no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×Q8—42no—
948C4×Q8—42no—
949C4×Q8—42no—
950C4×Q8—44no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—28no—
954C4×D4—216no—
955C4×D4—28no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—44no—
960C4×D4—42no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—48no—
972C4×D4—48no—
973C4×D4—82no—
974#117—44no—
975#117—44no—
976#117—42no—
977#117—44no—
978#117—44no—
979C2×C4⋊C4—28no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—42no—
983C2×C4⋊C4—44no—
984C2×C4⋊C4—42no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—82no—
987C2×C4⋊C4—84no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C42—24no—
1117C2×C42—24no—
1118C2×C42—44no—
1119C2×C42—44no—
1120C2×C42—44no—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214C24C2512yes—
1215C24C2511yescharacteristic
1216C24C2512yes—
1217C24C2514yes—
1218C24C2511yescharacteristic
1219#41—416no—
1220#41—816no—
1221#41—816no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8—416no—
1237C2×Q8—416no—
1238C2×Q8C2×#4114yes—
1239C2×Q8C2×#4114yes—
1240C2×Q8C2×#4118yes—
1241C2×Q82−1+414yes—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—28no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—28no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—28no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—24no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—28no—
1318C22×C4—22no—
1319C22×C4—28no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—41no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4C2×#4114yes—
1348C22×C4C2×#4118yes—
1349C22×C4H(5,𝔽2)14yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—41no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—42no—
1445C22⋊C4—22no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—22no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—22no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—41no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C42—28no—
1509C42—24no—
1510C42—22no—
1511C42—24no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—22no—
1523C42—24no—
1524C42—22no—
1525C42—22no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—42no—
1531C42—42no—
1532C42—44no—
1533C42—44no—
1534C42—41no—
1535C42—42no—
1536C42—44no—
1537C42—41no—
1538C42—42no—
1539C42—42no—
1540C42H(5,𝔽2)14yes—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—24no—
1549C23—22no—
1550C23—21no—
1551C23—24no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—21no—
1556C23—24no—
1557C23—21no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—24no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—24no—
1571C23—22no—
1572C23—21no—
1573C23C22×#4112yes—
1574C23C2×H(5,𝔽2)12yes—
1575C23#58512yes—
1576C23C2611yescharacteristic
1577Q8—28no—
1578Q8—28no—
1579Q8—28no—
1580Q8—48no—
1581Q8—48no—
1582Q8—44no—
1583D4—48no—
1584D4—48no—
1585D4—44no—
1586D4—416no—
1587D4—48no—
1588D4—44no—
1589D4—48no—
1590D4—44no—
1591D4—48no—
1592D4—84no—
1593D4—88no—
1594D4—88no—
1595D4—84no—
1596D4—164no—
1597D4—164no—
1598D4—164no—
1599D4—164no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—28no—
1613C2×C4—28no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—48no—
1681C2×C4—44no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—48no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—82no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—88no—
1694C2×C4—84no—
1695C2×C4—164no—
1696C2×C4—164no—
1697C2×C4C22×#4114yes—
1698C2×C4C22×#4114yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4112yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×2−1+414yes—
1707C2×C4C2×2−1+412yes—
1708C2×C4#58512yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—42no—
1716C22—41no—
1717C22—44no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—44no—
1727C22—41no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—41no—
1733C22—44no—
1734C22—42no—
1735C22—41no—
1736C22—42no—
1737C22—44no—
1738C22—42no—
1739C22—42no—
1740C22—44no—
1741C22—41no—
1742C22—42no—
1743C22#351714yes—
1744C22C23×#4111yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C22×2−1+411yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22C2×#58511yescharacteristic
1750C22H(7,𝔽2)11yescharacteristic
1751C4—22no—
1752C4—24no—
1753C4—22no—
1754C4—24no—
1755C4—24no—
1756C4—22no—
1757C4—41no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—41no—
1763C4—42no—
1764C4—41no—
1765C4—41no—
1766C4—42no—
1767C4—42no—
1768C4—44no—
1769C4—41no—
1770C4—42no—
1771C4—41no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—44no—
1776C4—44no—
1777C4—42no—
1778C4—41no—
1779C4#350514yes—
1780C4#353614yes—
1781C2—24no—
1782C2—82no—
1783C2—81no—
1784C2—84no—
1785C2—82no—
1786C2C2×#353611yescharacteristic
1787C2C2×#350511yescharacteristic
1788C2C2×#351711yescharacteristic
1789C2#6295711yescharacteristic
1790C2#6296111yescharacteristic
1791C2#6299911yescharacteristic
1792C2#6303311yescharacteristic
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. #59806C2semidirect
2. #59677C2semidirect
3. #59419C2semidirect
4. #59304C2semidirect
5. #59259C2semidirect
6. #50528C2semidirect
7. #48698C2semidirect
8. #46083C2semidirect
9. #45689C2semidirect
10. #45406C2semidirect
11. #45393C2semidirect
12. #43579C2semidirect
13. #42904C2semidirect
14. #42838C2semidirect
15. #40669C2semidirect
16. #40129C2semidirect
17. #39985C2semidirect
18. #39743C2semidirect
19. #39742C2semidirect
20. #38978C2semidirect
21. #38909C2semidirect
22. #38123C2semidirect
23. #36576C2semidirect
24. #36576C2semidirect
25. #36555C2semidirect
26. #36410C2semidirect
27. #36396C2semidirect
28. #36182C2semidirect
29. #35189C2semidirect
30. #35186C2semidirect
31. #35029C2semidirect
32. C2×#2582C2semidirect
33. #34708C2semidirect
34. #34472C2semidirect
35. C4×#548C2semidirect
835. C22×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598062
#596772
#594192
#593042
#592592
#505282
#486982
#460832
#456892
#454062
#453932
#435792
#429042
#428382
#406692
#401292
#399852
#397432
#397422
#389782
#389092
#381232
#365762
#365552
#364102
#363962
#361822
#351892
#351862
#350292
C2×#25822
#347082
#344722
C4×#5482