Finite Group Databasebeta

← #8424382

Subgroups — #8424382

Order 512.

4877 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59458C211yesmaximal, characteristic, complemented
2#59332C212yesmaximal, complemented
3#59229C211yesmaximal, characteristic, complemented
4#59217C211yesmaximal, characteristic, complemented
5#59115C212yesmaximal, complemented
6#58427C214yesmaximal, complemented
7#57719C214yesmaximal, complemented
8#53082C212yesmaximal, complemented
9#53061C212yesmaximal, complemented
10#52976C212yesmaximal, complemented
11#52970C212yesmaximal, complemented
12#52331C214yesmaximal, complemented
13#42758C212yesmaximal, complemented
14#42739C212yesmaximal, complemented
15#42646C212yesmaximal, complemented
16#42564C212yesmaximal, complemented
17#41318C214yesmaximal, complemented
18#40168C212yesmaximal, complemented
19#39877C212yesmaximal, complemented
20#39735C211yesmaximal, characteristic, complemented
21#39735C211yesmaximal, characteristic, complemented
22#39352C211yesmaximal, characteristic, complemented
23#39148C211yesmaximal, characteristic, complemented
24#39118C212yesmaximal, complemented
25#37764C212yesmaximal, complemented
26#37642C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37554C212yesmaximal, complemented
29#37511C212yesmaximal, complemented
30#36416C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic, complemented
32#36165C211yesmaximal, characteristic, complemented
33#34932C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2212yes—
38C2×#540C2212yes—
39C2×#532C2212yes—
40C2×#532C2212yes—
41C2×#529C2212yes—
42#2859C2211yescharacteristic
43#2856C2211yescharacteristic
44#2856C2211yescharacteristic
45#2851C2212yes—
46#2851C2212yes—
47#2844C2214yes—
48#2841C2214yes—
49#2838C2214yes—
50#2837C2214yes—
51#2830C2214yes—
52#2829C2214yes—
53#2827C2214yes—
54#2826C2214yes—
55#2826C2214yes—
56#2824C2214yes—
57#2820C2214yes—
58#2819C2214yes—
59#2814C2214yes—
60#2813C2214yes—
61#2796C2214yes—
62#2781C2214yes—
63#2773C2214yes—
64#2754C2214yes—
65#2753C2214yes—
66#2753C2214yes—
67#2751C2214yes—
68#2750C2214yes—
69#2749C2214yes—
70#2746C2214yes—
71#2739C2214yes—
72#2730C2214yes—
73#2729C2214yes—
74#2728C2214yes—
75#2717C2214yes—
76#2708C2214yes—
77#2706C2214yes—
78#2706C2214yes—
79#2706C2214yes—
80#2703C2214yes—
81#2703C2214yes—
82#2700C2214yes—
83#2692C2214yes—
84#2690C2214yes—
85#2688C2214yes—
86#2686C2214yes—
87#2686C2214yes—
88#2686C2214yes—
89#2682C2214yes—
90#2681C2214yes—
91#2676C2214yes—
92#2676C2214yes—
93#2674C2214yes—
94#2672C2214yes—
95#2672C2214yes—
96#2671C2214yes—
97#2671C2214yes—
98#2666C2214yes—
99#2660C2212yes—
100#2656C2214yes—
101#2651C2214yes—
102#2650C2214yes—
103#2649C2214yes—
104#2647C2212yes—
105#2644C2212yes—
106#2639C2214yes—
107#2638C2214yes—
108#2636C2214yes—
109#2636C2214yes—
110#2629C2212yes—
111#2628C2212yes—
112#2628C2214yes—
113#2628C2212yes—
114#2628C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2624C2214yes—
118#2624C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2589C2214yes—
122#2587C2214yes—
123#2580C2212yes—
124#2580C2212yes—
125#2578C2212yes—
126#2576C2212yes—
127#2575C2214yes—
128#2571C2211yescharacteristic
129#2571C2211yescharacteristic
130#2571C2212yes—
131#2571C2212yes—
132#2571C2211yescharacteristic
133#2570C2211yescharacteristic
134#2570C2212yes—
135#2566C2212yes—
136#2566C2211yescharacteristic
137#2562C2212yes—
138#2562C2211yescharacteristic
139#2560C2214yes—
140#2555C2214yes—
141#2553C2212yes—
142#2553C2212yes—
143#2552C2211yescharacteristic
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2551C2212yes—
147#2551C2211yescharacteristic
148#2551C2212yes—
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2547C2212yes—
152#2547C2211yescharacteristic
153#2542C2212yes—
154#2542C2211yescharacteristic
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2537C2211yescharacteristic
158#2537C2212yes—
159#2537C2211yescharacteristic
160#2537C2212yes—
161#2535C2212yes—
162#2535C2212yes—
163#2535C2211yescharacteristic
164#2535C2212yes—
165#2535C2212yes—
166#2517C2214yes—
167#2515C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2508C2212yes—
173#2508C2212yes—
174#2505C2214yes—
175#2505C2214yes—
176#2504C2212yes—
177#2501C2212yes—
178#2500C2212yes—
179#2500C2212yes—
180#2498C2214yes—
181#2497C2211yescharacteristic
182#2497C2212yes—
183#2496C2211yescharacteristic
184#2496C2211yescharacteristic
185#2494C2211yescharacteristic
186#2491C2214yes—
187#2491C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2490C2212yes—
193#2489C2212yes—
194#2488C2214yes—
195#2485C2212yes—
196#2485C2212yes—
197#2481C2214yes—
198#2476C2214yes—
199#2474C2214yes—
200#2474C2214yes—
201#2461C2214yes—
202#2457C2212yes—
203#2454C2212yes—
204#2454C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2452C2212yes—
208#2449C2214yes—
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yes—
212#2443C2214yes—
213#2442C2212yes—
214#2442C2212yes—
215#2441C2212yes—
216#2441C2212yes—
217#2439C2212yes—
218#2439C2212yes—
219#2439C2212yes—
220#2432C2214yes—
221#2430C2214yes—
222#2430C2214yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2427C2212yes—
227#2422C2212yes—
228#2422C2212yes—
229#2422C2212yes—
230#2422C2211yescharacteristic
231#2422C2211yescharacteristic
232#2422C2211yescharacteristic
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2420C2211yescharacteristic
237#2420C2212yes—
238#2420C2212yes—
239#2419C2214yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2406C2214yes—
249#2401C2212yes—
250#2395C2212yes—
251#2395C2212yes—
252#2392C2212yes—
253#2388C2214yes—
254#2370C2212yes—
255#2366C2211yescharacteristic
256#2366C2211yescharacteristic
257#2363C2212yes—
258#2363C2212yes—
259#2363C2212yes—
260#2359C2214yes—
261#2357C2212yes—
262#2355C2212yes—
263#2354C2211yescharacteristic
264#2354C2211yescharacteristic
265#2349C2212yes—
266#2349C2212yes—
267D4×C4⋊C4C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270#2345C2212yes—
271#2344C2212yes—
272#2328C2212yes—
273#2324C2212yes—
274#2324C2212yes—
275#2322C2214yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2212yes—
287#2296C2212yes—
288#2290C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295C2×#382C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2314yes—
300#555—48no—
301#554—48no—
302#540—48no—
303#532—48no—
304#532—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314#529—48no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2314yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405#401C2312yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2312yes—
476#396C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2312yes—
519#394C2312yes—
520#394C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2314yes—
540#391C2312yes—
541#391C2314yes—
542#391C2314yes—
543#391C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2311yescharacteristic
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2312yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#383C2312yes—
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2314yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#381C2314yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2314yes—
763#380C2312yes—
764#380C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2311yescharacteristic
816C2×#41—48no—
817C2×#41—48no—
818C2×#41—84no—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—84no—
862#127—28no—
863#127—24no—
864#127—44no—
865#126—44no—
866#126—44no—
867#125—24no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—44no—
872#124—48no—
873#124—44no—
874#124—48no—
875#124—48no—
876#124—48no—
877#123—44no—
878#123—48no—
879#123—48no—
880#123—48no—
881#123—44no—
882#123—44no—
883#123—48no—
884#123—84no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—44no—
890C22⋊Q8—84no—
891#121—28no—
892#121—24no—
893#121—24no—
894#121—44no—
895#121—48no—
896#121—48no—
897#121—48no—
898#121—42no—
899#121—42no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—48no—
911#121—48no—
912#121—84no—
913#121—84no—
914#121—82no—
915C4×Q8—28no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—48no—
939C4×D4—82no—
940#117—44no—
941#117—44no—
942#117—44no—
943#117—48no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—82no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—48no—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C42—28no—
1085C2×C42—24no—
1086C2×C42—24no—
1087C2×C42—44no—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2511yescharacteristic
1182C24C2511yescharacteristic
1183C24C2514yes—
1184C24C2512yes—
1185C24C2512yes—
1186#41—832no—
1187C2×Q8—24no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4H(5,𝔽2)14yes—
1247C22×C4—24no—
1248C22×C4—28no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—28no—
1273C22×C4—22no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—41no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2514yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—41no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—41no—
1422C22⋊C4—42no—
1423C22⋊C4—41no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—41no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—22no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—41no—
1485C42—41no—
1486C42H(5,𝔽2)14yes—
1487C422−1+414yes—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—21no—
1495C23—21no—
1496C23—24no—
1497C23—22no—
1498C23—21no—
1499C23—21no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—21no—
1504C23—21no—
1505C23—24no—
1506C23—21no—
1507C23—22no—
1508C23—24no—
1509C23—21no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—24no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—24no—
1520C23—22no—
1521C23—21no—
1522C23C2×H(5,𝔽2)14yes—
1523C23C2611yescharacteristic
1524Q8—84no—
1525Q8—88no—
1526Q8—164no—
1527D4—28no—
1528D4—44no—
1529D4—48no—
1530D4—44no—
1531D4—48no—
1532D4—84no—
1533D4—88no—
1534D4—84no—
1535D4—84no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539D4—84no—
1540D4—84no—
1541D4—88no—
1542D4—164no—
1543D4—164no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—84no—
1634C2×C4—82no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—84no—
1639C2×C4—164no—
1640C2×C4—164no—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×2−1+412yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4C2×2−1+412yes—
1648C2×C4#58512yes—
1649C2×C4#58512yes—
1650C2×C4#58512yes—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—44no—
1662C22—41no—
1663C22—41no—
1664C22—44no—
1665C22—42no—
1666C22—44no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22—41no—
1672C22—44no—
1673C22—41no—
1674C22—42no—
1675C22—44no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—44no—
1681C22—42no—
1682C22—41no—
1683C22—42no—
1684C22—41no—
1685C22—44no—
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C22×2−1+411yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22H(7,𝔽2)11yescharacteristic
1693C4—22no—
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—42no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—42no—
1712C4—42no—
1713C4—44no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—41no—
1719C4—42no—
1720C4—44no—
1721C4#354714yes—
1722C4#355914yes—
1723C2—44no—
1724C2—81no—
1725C2—81no—
1726C2—82no—
1727C2—84no—
1728C2C2×#355911yescharacteristic
1729C2C2×#354711yescharacteristic
1730C2#6275911yescharacteristic
1731C2#6291211yescharacteristic
1732C2#6295811yescharacteristic
1733C2#6296611yescharacteristic
1734C2#6302111yescharacteristic
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. #59458C2semidirect
2. #59332C2semidirect
3. #59229C2semidirect
4. #59217C2semidirect
5. #59115C2semidirect
6. #58427C2semidirect
7. #57719C2semidirect
8. #53082C2semidirect
9. #53061C2semidirect
10. #52976C2semidirect
11. #52970C2semidirect
12. #52331C2semidirect
13. #42758C2semidirect
14. #42739C2semidirect
15. #42646C2semidirect
16. #42564C2semidirect
17. #41318C2semidirect
18. #40168C2semidirect
19. #39877C2semidirect
20. #39735C2semidirect
21. #39735C2semidirect
22. #39352C2semidirect
23. #39148C2semidirect
24. #39118C2semidirect
25. #37764C2semidirect
26. #37642C2semidirect
27. #37624C2semidirect
28. #37554C2semidirect
29. #37511C2semidirect
30. #36416C2semidirect
31. #36211C2semidirect
32. #36165C2semidirect
33. #34932C2semidirect
34. #34925C2semidirect
35. #34917C2semidirect

Maximal subgroups

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

subgroupindex
#594582
#593322
#592292
#592172
#591152
#584272
#577192
#530822
#530612
#529762
#529702
#523312
#427582
#427392
#426462
#425642
#413182
#401682
#398772
#397352
#393522
#391482
#391182
#377642
#376422
#376242
#375542
#375112
#364162
#362112
#361652
#349322
#349252
#349172