Finite Group Databasebeta

← #8425190

Subgroups — #8425190

Order 512.

5280 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59646C211yesmaximal, characteristic, complemented
2#59394C212yesmaximal, complemented
3#59128C212yesmaximal, complemented
4#59080C211yesmaximal, characteristic, complemented
5#59051C211yesmaximal, characteristic, complemented
6#53627C214yesmaximal, complemented
7#53418C214yesmaximal, complemented
8#53088C212yesmaximal, complemented
9#53073C212yesmaximal, complemented
10#52963C212yesmaximal, complemented
11#52957C212yesmaximal, complemented
12#52489C214yesmaximal, complemented
13#42989C212yesmaximal, complemented
14#42847C212yesmaximal, complemented
15#42797C212yesmaximal, complemented
16#42471C212yesmaximal, complemented
17#41092C214yesmaximal, complemented
18#40052C212yesmaximal, complemented
19#39961C212yesmaximal, complemented
20#39560C212yesmaximal, complemented
21#39513C211yesmaximal, characteristic, complemented
22#39471C211yesmaximal, characteristic, complemented
23#39360C211yesmaximal, characteristic, complemented
24#39149C211yesmaximal, characteristic, complemented
25#37683C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37618C211yesmaximal, characteristic, complemented
28#37515C212yesmaximal, complemented
29#37499C212yesmaximal, complemented
30#36586C211yesmaximal, characteristic, complemented
31#36444C211yesmaximal, characteristic, complemented
32#36127C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#550C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×#548C2212yes—
39C2×#548C2212yes—
40C2×#547C2212yes—
41C2×#547C2211yescharacteristic
42C2×#536C2212yes—
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#532C2212yes—
47C2×C4×#41C2211yescharacteristic
48#2868C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2212yes—
52#2850C2212yes—
53#2831C2214yes—
54#2829C2214yes—
55#2828C2214yes—
56#2828C2214yes—
57#2828C2214yes—
58#2827C2214yes—
59#2827C2214yes—
60#2826C2214yes—
61#2825C2214yes—
62#2825C2214yes—
63#2824C2214yes—
64#2815C2214yes—
65#2813C2214yes—
66#2813C2214yes—
67#2803C2214yes—
68#2797C2214yes—
69#2793C2214yes—
70#2793C2214yes—
71#2786C2214yes—
72#2784C2214yes—
73#2778C2214yes—
74#2778C2214yes—
75#2776C2214yes—
76#2759C2214yes—
77#2756C2214yes—
78#2749C2214yes—
79#2746C2214yes—
80#2745C2214yes—
81#2739C2214yes—
82#2732C2214yes—
83#2730C2214yes—
84#2730C2214yes—
85#2728C2214yes—
86#2710C2214yes—
87#2709C2214yes—
88#2708C2214yes—
89#2703C2214yes—
90#2703C2214yes—
91#2693C2214yes—
92#2688C2214yes—
93#2680C2214yes—
94#2680C2214yes—
95#2676C2214yes—
96#2676C2214yes—
97#2676C2214yes—
98#2675C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2673C2214yes—
103#2672C2214yes—
104#2665C2214yes—
105#2661C2214yes—
106#2661C2214yes—
107#2657C2212yes—
108#2653C2214yes—
109#2653C2214yes—
110#2653C2214yes—
111#2652C2214yes—
112#2648C2214yes—
113#2645C2212yes—
114#2640C2212yes—
115#2635C2214yes—
116#2631C2214yes—
117#2630C2214yes—
118#2629C2212yes—
119#2624C2212yes—
120#2624C2212yes—
121#2621C2212yes—
122#2619C2212yes—
123#2619C2212yes—
124#2615C2212yes—
125#2615C2212yes—
126#2615C2212yes—
127#2602C2214yes—
128#2602C2214yes—
129#2602C2214yes—
130#2596C2214yes—
131#2595C2214yes—
132#2591C2214yes—
133#2589C2214yes—
134#2578C2214yes—
135#2571C2211yescharacteristic
136#2570C2212yes—
137#2555C2214yes—
138#2548C2212yes—
139#2548C2211yescharacteristic
140#2547C2212yes—
141#2547C2211yescharacteristic
142#2547C2211yescharacteristic
143#2547C2212yes—
144#2547C2211yescharacteristic
145#2546C2211yescharacteristic
146#2545C2212yes—
147#2545C2212yes—
148#2545C2212yes—
149#2544C2212yes—
150#2543C2214yes—
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yes—
154#2541C2211yescharacteristic
155#2540C2212yes—
156#2537C2212yes—
157#2537C2212yes—
158#2537C2211yescharacteristic
159#2537C2212yes—
160#2535C2212yes—
161#2535C2212yes—
162#2525C2212yes—
163#2516C2212yes—
164#2514C2212yes—
165#2513C2211yescharacteristic
166#2513C2212yes—
167#2510C2212yes—
168#2510C2214yes—
169#2509C2212yes—
170#2509C2211yescharacteristic
171#2504C2211yescharacteristic
172#2500C2212yes—
173#2497C2212yes—
174#2497C2212yes—
175#2497C2212yes—
176#2494C2212yes—
177#2494C2211yescharacteristic
178#2494C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2490C2211yescharacteristic
182#2490C2212yes—
183#2487C2212yes—
184#2487C2212yes—
185#2487C2211yescharacteristic
186#2476C2212yes—
187#2474C2212yes—
188#2464C2214yes—
189#2463C2214yes—
190#2463C2214yes—
191#2463C2214yes—
192#2461C2214yes—
193#2459C2212yes—
194#2456C2214yes—
195#2456C2214yes—
196#2456C2214yes—
197#2456C2214yes—
198#2456C2212yes—
199#2452C2212yes—
200#2451C2211yescharacteristic
201#2449C2214yes—
202#2448C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2445C2212yes—
206#2445C2211yescharacteristic
207#2444C2212yes—
208#2442C2211yescharacteristic
209#2440C2212yes—
210#2440C2212yes—
211#2439C2211yescharacteristic
212#2436C2212yes—
213#2434C2212yes—
214#2432C2212yes—
215#2432C2212yes—
216#2432C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2431C2212yes—
220#2431C2211yescharacteristic
221#2431C2212yes—
222#2429C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2427C2212yes—
228#2427C2214yes—
229#2426C2211yescharacteristic
230#2426C2212yes—
231#2426C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2422C2212yes—
235#2422C2212yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2421C2212yes—
240#2420C2212yes—
241#2420C2211yescharacteristic
242#2420C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2416C2211yescharacteristic
247#2415C2214yes—
248#2415C2212yes—
249#2414C2212yes—
250#2414C2211yescharacteristic
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2211yescharacteristic
255#2401C2212yes—
256#2395C2212yes—
257#2392C2214yes—
258#2392C2212yes—
259#2388C2212yes—
260#2367C2212yes—
261#2366C2212yes—
262#2365C2211yescharacteristic
263#2365C2211yescharacteristic
264#2363C2212yes—
265#2361C2214yes—
266#2361C2212yes—
267#2354C2211yescharacteristic
268#2352C2212yes—
269Q8×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2212yes—
272#2347C2212yes—
273Q8×C22⋊C4C2212yes—
274#2327C2212yes—
275#2322C2214yes—
276#2314C2212yes—
277#2311C2212yes—
278C4×#127C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2297C2212yes—
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305#550—48no—
306D4×Q8—44no—
307#548—48no—
308#548—48no—
309#547—44no—
310#547—48no—
311#536—48no—
312#532—44no—
313#532—44no—
314#532—44no—
315#532—48no—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2314yes—
329C2×#125C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C4×#41—44no—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2314yes—
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2312yes—
429C22×C42C2312yes—
430#401C2314yes—
431#401C2314yes—
432#401C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#395C2314yes—
495#395C2312yes—
496#395C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#393C2312yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2312yes—
561#392C2312yes—
562#392C2312yes—
563#392C2312yes—
564#391C2314yes—
565#391C2314yes—
566#391C2311yescharacteristic
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2314yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#383C2314yes—
746#383C2312yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2312yes—
750#382C2312yes—
751#382C2311yescharacteristic
752#382C2311yescharacteristic
753#381C2314yes—
754#381C2312yes—
755#381C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820C2×#95C2312yes—
821C43C2311yescharacteristic
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C22×Q8—28no—
838C22×Q8—44no—
839C22×Q8—44no—
840C22×Q8C2412yes—
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2414yes—
844C22×Q8C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C4⋊Q8—28no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891C4⋊Q8—42no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895#127—24no—
896#127—44no—
897#127—42no—
898#127—44no—
899#127—44no—
900#127—48no—
901#125—42no—
902#124—28no—
903#124—24no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—48no—
911#124—48no—
912#123—44no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919C22⋊Q8—24no—
920C22⋊Q8—28no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929#121—24no—
930#121—48no—
931#121—44no—
932#121—48no—
933#121—48no—
934#121—44no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—42no—
943#121—44no—
944#121—42no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—42no—
949#121—42no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957C4×Q8—24no—
958C4×Q8—42no—
959C4×Q8—44no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—24no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—42no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—42no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984C4×D4—48no—
985C4×D4—48no—
986C4×D4—48no—
987C4×D4—48no—
988#117—44no—
989#117—44no—
990#117—44no—
991#117—44no—
992#117—42no—
993C2×C4⋊C4—42no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4—48no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—44no—
1127C2×C42—44no—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2412yes—
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216C24C2512yes—
1217C24C2511yescharacteristic
1218C24C2514yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222#41—416no—
1223#41—816no—
1224#41—816no—
1225#41—816no—
1226#41—816no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—24no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—28no—
1236C2×Q8—44no—
1237C2×Q8—44no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×Q8—816no—
1242C2×Q8H(5,𝔽2)14yes—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—41no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
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—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—28no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—42no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4H(5,𝔽2)14yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2514yes—
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2514yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—28no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—28no—
1415C4⋊C4—28no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—41no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C22⋊C4—24no—
1457C22⋊C4—22no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—44no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—44no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—22no—
1541C42—24no—
1542C42—22no—
1543C42—22no—
1544C42—42no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—41no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42H(5,𝔽2)14yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—21no—
1562C23—24no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—22no—
1573C23—24no—
1574C23—21no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—24no—
1584C23—24no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—22no—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23C2×H(5,𝔽2)12yes—
1596C23C2611yescharacteristic
1597Q8—28no—
1598Q8—48no—
1599Q8—48no—
1600Q8—88no—
1601Q8—84no—
1602D4—44no—
1603D4—48no—
1604D4—48no—
1605D4—44no—
1606D4—44no—
1607D4—48no—
1608D4—44no—
1609D4—48no—
1610D4—84no—
1611D4—84no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—84no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—84no—
1620D4—88no—
1621D4—88no—
1622D4—84no—
1623D4—84no—
1624D4—84no—
1625D4—164no—
1626D4—164no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—24no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—48no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—44no—
1712C2×C4—88no—
1713C2×C4—82no—
1714C2×C4—82no—
1715C2×C4—88no—
1716C2×C4—88no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—88no—
1721C2×C4—88no—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)14yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4#58512yes—
1730C2×C4#58512yes—
1731C2×C4#58512yes—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—44no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—44no—
1750C22—41no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—41no—
1756C22—44no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—44no—
1761C22—42no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—44no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—44no—
1772C22—41no—
1773C22—42no—
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C22×H(5,𝔽2)11yescharacteristic
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C2×#58511yescharacteristic
1778C22C2×#58511yescharacteristic
1779C22C2×#58511yescharacteristic
1780C222−1+611yescharacteristic
1781C4—22no—
1782C4—24no—
1783C4—22no—
1784C4—22no—
1785C4—41no—
1786C4—42no—
1787C4—44no—
1788C4—44no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—44no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4#353714yes—
1809C4#356214yes—
1810C2—42no—
1811C2—82no—
1812C2—82no—
1813C2—81no—
1814C2—82no—
1815C2—84no—
1816C2C2×#353711yescharacteristic
1817C2C2×#356211yescharacteristic
1818C2#6274811yescharacteristic
1819C2#6292211yescharacteristic
1820C2#6292511yescharacteristic
1821C2#6293111yescharacteristic
1822C2#6302211yescharacteristic
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. #59646C2semidirect
2. #59394C2semidirect
3. #59128C2semidirect
4. #59080C2semidirect
5. #59051C2semidirect
6. #53627C2semidirect
7. #53418C2semidirect
8. #53088C2semidirect
9. #53073C2semidirect
10. #52963C2semidirect
11. #52957C2semidirect
12. #52489C2semidirect
13. #42989C2semidirect
14. #42847C2semidirect
15. #42797C2semidirect
16. #42471C2semidirect
17. #41092C2semidirect
18. #40052C2semidirect
19. #39961C2semidirect
20. #39560C2semidirect
21. #39513C2semidirect
22. #39471C2semidirect
23. #39360C2semidirect
24. #39149C2semidirect
25. #37683C2semidirect
26. #37626C2semidirect
27. #37618C2semidirect
28. #37515C2semidirect
29. #37499C2semidirect
30. #36586C2semidirect
31. #36444C2semidirect
32. #36127C2semidirect
33. #34937C2semidirect
34. #34788C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#596462
#593942
#591282
#590802
#590512
#536272
#534182
#530882
#530732
#529632
#529572
#524892
#429892
#428472
#427972
#424712
#410922
#400522
#399612
#395602
#395132
#394712
#393602
#391492
#376832
#376262
#376182
#375152
#374992
#365862
#364442
#361272
#349372
#347882
#347152