Finite Group Databasebeta

← #8429373

Subgroups — #8429373

Order 512.

4639 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59754C212yesmaximal, complemented
2#59645C212yesmaximal, complemented
3#59426C211yesmaximal, characteristic, complemented
4#59039C211yesmaximal, characteristic, complemented
5#59034C211yesmaximal, characteristic, complemented
6#58161C214yesmaximal, complemented
7#57504C214yesmaximal, complemented
8#53079C212yesmaximal, complemented
9#53074C212yesmaximal, complemented
10#53060C212yesmaximal, complemented
11#53060C212yesmaximal, complemented
12#52323C214yesmaximal, complemented
13#42893C212yesmaximal, complemented
14#42761C212yesmaximal, complemented
15#42693C212yesmaximal, complemented
16#42685C212yesmaximal, complemented
17#40555C214yesmaximal, complemented
18#39771C211yesmaximal, characteristic, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39536C212yesmaximal, complemented
21#39525C212yesmaximal, complemented
22#39258C212yesmaximal, complemented
23#39068C212yesmaximal, complemented
24#38956C211yesmaximal, characteristic, complemented
25#38942C211yesmaximal, characteristic, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37635C211yesmaximal, characteristic, complemented
28#37591C212yesmaximal, complemented
29#37501C212yesmaximal, complemented
30#36450C211yesmaximal, characteristic, complemented
31#36404C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2855C2212yes—
47#2832C2214yes—
48#2831C2214yes—
49#2830C2214yes—
50#2829C2214yes—
51#2829C2214yes—
52#2828C2214yes—
53#2828C2214yes—
54#2828C2214yes—
55#2825C2214yes—
56#2825C2214yes—
57#2824C2214yes—
58#2824C2214yes—
59#2817C2214yes—
60#2815C2214yes—
61#2798C2214yes—
62#2797C2214yes—
63#2797C2214yes—
64#2797C2214yes—
65#2796C2214yes—
66#2787C2214yes—
67#2786C2214yes—
68#2782C2214yes—
69#2782C2214yes—
70#2781C2214yes—
71#2759C2214yes—
72#2756C2214yes—
73#2756C2214yes—
74#2753C2214yes—
75#2753C2214yes—
76#2752C2214yes—
77#2751C2214yes—
78#2751C2214yes—
79#2750C2214yes—
80#2747C2214yes—
81#2746C2214yes—
82#2746C2214yes—
83#2745C2214yes—
84#2739C2214yes—
85#2738C2214yes—
86#2714C2214yes—
87#2714C2214yes—
88#2711C2214yes—
89#2703C2214yes—
90#2703C2214yes—
91#2699C2214yes—
92#2696C2214yes—
93#2691C2214yes—
94#2691C2214yes—
95#2686C2214yes—
96#2686C2214yes—
97#2676C2214yes—
98#2662C2214yes—
99#2660C2212yes—
100#2653C2214yes—
101#2651C2214yes—
102#2651C2214yes—
103#2648C2214yes—
104#2648C2214yes—
105#2647C2212yes—
106#2644C2212yes—
107#2642C2212yes—
108#2641C2212yes—
109#2640C2212yes—
110#2638C2214yes—
111#2637C2214yes—
112#2634C2214yes—
113#2631C2214yes—
114#2630C2214yes—
115#2629C2212yes—
116#2625C2212yes—
117#2625C2212yes—
118#2625C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2610C2214yes—
122#2597C2214yes—
123#2595C2214yes—
124#2592C2212yes—
125#2592C2212yes—
126#2581C2212yes—
127#2581C2212yes—
128#2580C2212yes—
129#2580C2212yes—
130#2578C2214yes—
131#2578C2214yes—
132#2577C2214yes—
133#2569C2214yes—
134#2568C2211yescharacteristic
135#2568C2211yescharacteristic
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2563C2211yescharacteristic
139#2563C2211yescharacteristic
140#2557C2214yes—
141#2552C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2541C2211yescharacteristic
145#2540C2212yes—
146#2540C2212yes—
147#2538C2211yescharacteristic
148#2537C2212yes—
149#2537C2212yes—
150#2536C2212yes—
151#2532C2212yes—
152#2528C2214yes—
153#2526C2212yes—
154#2521C2214yes—
155#2518C2214yes—
156#2518C2212yes—
157#2517C2214yes—
158#2514C2212yes—
159#2514C2212yes—
160#2513C2214yes—
161#2513C2212yes—
162#2513C2211yescharacteristic
163#2512C2212yes—
164#2512C2212yes—
165#2508C2212yes—
166#2508C2211yescharacteristic
167#2504C2212yes—
168#2500C2212yes—
169#2500C2211yescharacteristic
170#2500C2212yes—
171#2499C2212yes—
172#2499C2212yes—
173#2499C2212yes—
174#2497C2211yescharacteristic
175#2496C2212yes—
176#2496C2212yes—
177#2494C2212yes—
178#2494C2212yes—
179#2493C2214yes—
180#2491C2212yes—
181#2491C2211yescharacteristic
182#2490C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2485C2211yescharacteristic
188#2477C2212yes—
189#2475C2212yes—
190#2470C2214yes—
191#2469C2214yes—
192#2468C2214yes—
193#2467C2214yes—
194#2463C2212yes—
195#2461C2214yes—
196#2460C2212yes—
197#2459C2212yes—
198#2458C2214yes—
199#2457C2214yes—
200#2454C2212yes—
201#2452C2211yescharacteristic
202#2448C2212yes—
203#2448C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2446C2211yescharacteristic
207#2445C2212yes—
208#2444C2214yes—
209#2442C2212yes—
210#2439C2212yes—
211#2439C2211yescharacteristic
212#2439C2211yescharacteristic
213#2432C2212yes—
214#2432C2211yescharacteristic
215#2431C2212yes—
216#2431C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2430C2214yes—
220#2428C2212yes—
221#2428C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2427C2211yescharacteristic
226#2426C2212yes—
227#2426C2212yes—
228#2422C2212yes—
229#2421C2212yes—
230#2421C2211yescharacteristic
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2415C2212yes—
235#2415C2211yescharacteristic
236#2414C2212yes—
237#2414C2212yes—
238#2414C2212yes—
239#2414C2211yescharacteristic
240#2414C2212yes—
241#2414C2212yes—
242#2407C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2211yescharacteristic
247#2407C2212yes—
248#2407C2212yes—
249#2398C2212yes—
250#2398C2212yes—
251#2392C2212yes—
252#2392C2212yes—
253#2388C2214yes—
254#2374C2214yes—
255#2367C2212yes—
256#2366C2211yescharacteristic
257#2365C2211yescharacteristic
258#2363C2212yes—
259#2362C2212yes—
260#2360C2212yes—
261#2355C2211yescharacteristic
262#2355C2212yes—
263#2355C2212yes—
264#2354C2211yescharacteristic
265#2352C2212yes—
266#2352C2212yes—
267#2349C2212yes—
268#2347C2212yes—
269#2341C2212yes—
270#2341C2212yes—
271#2339C2212yes—
272#2326C2212yes—
273#2324C2212yes—
274#2319C2212yes—
275#2318C2214yes—
276#2311C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2212yes—
280C4×#125C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2298C2212yes—
292#2297C2212yes—
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303#550—44no—
304#547—44no—
305#533—44no—
306#533—44no—
307#532—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C4×#41—44no—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2312yes—
510#393C2314yes—
511#393C2312yes—
512#393C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2311yescharacteristic
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#383C2314yes—
728#383C2314yes—
729#383C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2314yes—
740#382C2314yes—
741#381C2312yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—82no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870#127—24no—
871#127—44no—
872#127—44no—
873#126—84no—
874#126—84no—
875#125—44no—
876#125—44no—
877#125—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—42no—
882#124—44no—
883#124—44no—
884#124—84no—
885#123—48no—
886#123—48no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—42no—
892C22⋊Q8—42no—
893C22⋊Q8—44no—
894C22⋊Q8—42no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897#121—48no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—42no—
902#121—42no—
903#121—42no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—84no—
910#121—84no—
911#121—82no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—82no—
921C4×D4—24no—
922C4×D4—24no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—84no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—44no—
943#117—42no—
944#117—42no—
945#117—42no—
946#117—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C42—24no—
1075C2×C42—24no—
1076C2×C42—44no—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2414yes—
1127#95C2414yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2514yes—
1181C24C2511yescharacteristic
1182#41—416no—
1183#41—816no—
1184#41—816no—
1185#41—816no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—28no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—41no—
1287C22×C4—42no—
1288C22×C4—44no—
1289C22×C4—41no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—22no—
1388C22⋊C4—24no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—41no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—41no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42—44no—
1474C42—42no—
1475C42—44no—
1476C42—41no—
1477C42—42no—
1478C42—44no—
1479C42—41no—
1480C42—44no—
1481C42—44no—
1482C42H(5,𝔽2)14yes—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—24no—
1487C23—21no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—24no—
1494C23—24no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—24no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—24no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—21no—
1517C23—21no—
1518C23C2611yescharacteristic
1519Q8—48no—
1520Q8—44no—
1521Q8—44no—
1522Q8—48no—
1523Q8—84no—
1524Q8—84no—
1525D4—44no—
1526D4—48no—
1527D4—44no—
1528D4—48no—
1529D4—48no—
1530D4—44no—
1531D4—84no—
1532D4—88no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539D4—88no—
1540D4—164no—
1541D4—164no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—48no—
1632C2×C4—84no—
1633C2×C4—82no—
1634C2×C4—88no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—164no—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C2×C4#58512yes—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—44no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—44no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—44no—
1666C22—41no—
1667C22—44no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—44no—
1672C22—41no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—44no—
1678C22—41no—
1679C22—41no—
1680C22—42no—
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22H(7,𝔽2)11yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—41no—
1696C4—41no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—44no—
1706C4—42no—
1707C4—41no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—41no—
1714C4—42no—
1715C4—44no—
1716C4#354014yes—
1717C4#356214yes—
1718C2—82no—
1719C2—81no—
1720C2—82no—
1721C2—81no—
1722C2—84no—
1723C2C2×#354011yescharacteristic
1724C2C2×#356211yescharacteristic
1725C2#6276211yescharacteristic
1726C2#6292411yescharacteristic
1727C2#6293711yescharacteristic
1728C2#6296911yescharacteristic
1729C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59754C2semidirect
2. #59645C2semidirect
3. #59426C2semidirect
4. #59039C2semidirect
5. #59034C2semidirect
6. #58161C2semidirect
7. #57504C2semidirect
8. #53079C2semidirect
9. #53074C2semidirect
10. #53060C2semidirect
11. #53060C2semidirect
12. #52323C2semidirect
13. #42893C2semidirect
14. #42761C2semidirect
15. #42693C2semidirect
16. #42685C2semidirect
17. #40555C2semidirect
18. #39771C2semidirect
19. #39725C2semidirect
20. #39536C2semidirect
21. #39525C2semidirect
22. #39258C2semidirect
23. #39068C2semidirect
24. #38956C2semidirect
25. #38942C2semidirect
26. #37637C2semidirect
27. #37635C2semidirect
28. #37591C2semidirect
29. #37501C2semidirect
30. #36450C2semidirect
31. #36404C2semidirect
32. #36150C2semidirect
33. #34977C2semidirect
34. #34800C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#597542
#596452
#594262
#590392
#590342
#581612
#575042
#530792
#530742
#530602
#523232
#428932
#427612
#426932
#426852
#405552
#397712
#397252
#395362
#395252
#392582
#390682
#389562
#389422
#376372
#376352
#375912
#375012
#364502
#364042
#361502
#349772
#348002
#347202