Finite Group Databasebeta

← #8463286

Subgroups — #8463286

Order 512.

4892 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59639C211yesmaximal, characteristic, complemented
2#59125C211yesmaximal, characteristic, complemented
3#59033C211yesmaximal, characteristic, complemented
4#56475C214yesmaximal, complemented
5#55421C214yesmaximal, complemented
6#54512C214yesmaximal, complemented
7#53128C212yesmaximal, complemented
8#53080C212yesmaximal, complemented
9#48199C214yesmaximal, complemented
10#46016C212yesmaximal, complemented
11#45619C212yesmaximal, complemented
12#45385C212yesmaximal, complemented
13#45168C212yesmaximal, complemented
14#42883C212yesmaximal, complemented
15#42709C212yesmaximal, complemented
16#42598C212yesmaximal, complemented
17#42503C212yesmaximal, complemented
18#40033C212yesmaximal, complemented
19#40002C212yesmaximal, complemented
20#39771C211yesmaximal, characteristic, complemented
21#39725C211yesmaximal, characteristic, complemented
22#39159C211yesmaximal, characteristic, complemented
23#38956C211yesmaximal, characteristic, complemented
24#38248C212yesmaximal, complemented
25#38095C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37414C212yesmaximal, complemented
28#37322C212yesmaximal, complemented
29#36404C211yesmaximal, characteristic, complemented
30#36273C211yesmaximal, characteristic, complemented
31#36122C211yesmaximal, characteristic, complemented
32#35320C211yesmaximal, characteristic, complemented
33#35190C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#550C2211yescharacteristic
38C2×#548C2212yes—
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×C4⋊Q8C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2862C2212yes—
46#2862C2212yes—
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2855C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2838C2214yes—
55#2828C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2824C2214yes—
60#2819C2214yes—
61#2815C2214yes—
62#2804C2214yes—
63#2804C2214yes—
64#2798C2214yes—
65#2798C2214yes—
66#2796C2214yes—
67#2788C2214yes—
68#2782C2214yes—
69#2779C2214yes—
70#2778C2214yes—
71#2771C2214yes—
72#2760C2214yes—
73#2759C2214yes—
74#2758C2214yes—
75#2754C2214yes—
76#2753C2214yes—
77#2753C2214yes—
78#2751C2214yes—
79#2751C2214yes—
80#2751C2214yes—
81#2751C2214yes—
82#2750C2214yes—
83#2749C2214yes—
84#2749C2214yes—
85#2745C2214yes—
86#2745C2214yes—
87#2744C2214yes—
88#2743C2214yes—
89#2733C2214yes—
90#2730C2214yes—
91#2730C2214yes—
92#2730C2214yes—
93#2728C2214yes—
94#2712C2214yes—
95#2712C2214yes—
96#2712C2214yes—
97#2712C2214yes—
98#2712C2214yes—
99#2711C2214yes—
100#2703C2214yes—
101#2703C2214yes—
102#2700C2214yes—
103#2700C2214yes—
104#2699C2214yes—
105#2688C2214yes—
106#2688C2214yes—
107#2688C2214yes—
108#2686C2214yes—
109#2676C2214yes—
110#2674C2214yes—
111#2653C2214yes—
112#2650C2214yes—
113#2649C2214yes—
114#2645C2212yes—
115#2645C2212yes—
116#2643C2214yes—
117#2642C2214yes—
118#2640C2212yes—
119#2640C2212yes—
120#2635C2214yes—
121#2635C2214yes—
122#2635C2214yes—
123#2628C2212yes—
124#2625C2212yes—
125#2619C2212yes—
126#2619C2212yes—
127#2610C2214yes—
128#2600C2214yes—
129#2598C2214yes—
130#2597C2214yes—
131#2596C2214yes—
132#2592C2212yes—
133#2592C2212yes—
134#2580C2212yes—
135#2580C2212yes—
136#2576C2214yes—
137#2568C2211yescharacteristic
138#2568C2212yes—
139#2568C2212yes—
140#2568C2211yescharacteristic
141#2568C2212yes—
142#2568C2211yescharacteristic
143#2568C2211yescharacteristic
144#2555C2214yes—
145#2551C2211yescharacteristic
146#2548C2212yes—
147#2548C2211yescharacteristic
148#2547C2211yescharacteristic
149#2545C2212yes—
150#2544C2212yes—
151#2542C2211yescharacteristic
152#2541C2211yescharacteristic
153#2540C2212yes—
154#2538C2211yescharacteristic
155#2535C2212yes—
156#2532C2212yes—
157#2526C2212yes—
158#2518C2212yes—
159#2514C2212yes—
160#2513C2212yes—
161#2513C2211yescharacteristic
162#2513C2212yes—
163#2511C2212yes—
164#2508C2211yescharacteristic
165#2505C2214yes—
166#2504C2212yes—
167#2503C2212yes—
168#2503C2214yes—
169#2503C2212yes—
170#2500C2212yes—
171#2500C2211yescharacteristic
172#2499C2212yes—
173#2497C2211yescharacteristic
174#2495C2212yes—
175#2494C2212yes—
176#2492C2212yes—
177#2492C2212yes—
178#2492C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2491C2212yes—
185#2491C2211yescharacteristic
186#2491C2212yes—
187#2485C2211yescharacteristic
188#2477C2214yes—
189#2477C2212yes—
190#2477C2214yes—
191#2475C2212yes—
192#2474C2214yes—
193#2470C2214yes—
194#2463C2212yes—
195#2460C2212yes—
196#2459C2214yes—
197#2459C2214yes—
198#2459C2212yes—
199#2457C2214yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2211yescharacteristic
203#2451C2212yes—
204#2448C2212yes—
205#2448C2212yes—
206#2447C2212yes—
207#2447C2214yes—
208#2447C2212yes—
209#2447C2212yes—
210#2446C2211yescharacteristic
211#2444C2214yes—
212#2444C2214yes—
213#2443C2214yes—
214#2440C2212yes—
215#2439C2211yescharacteristic
216#2439C2211yescharacteristic
217#2438C2214yes—
218#2436C2212yes—
219#2432C2212yes—
220#2432C2212yes—
221#2432C2212yes—
222#2432C2211yescharacteristic
223#2431C2212yes—
224#2431C2212yes—
225#2431C2212yes—
226#2431C2212yes—
227#2431C2212yes—
228#2429C2212yes—
229#2428C2212yes—
230#2427C2212yes—
231#2427C2212yes—
232#2427C2211yescharacteristic
233#2421C2212yes—
234#2421C2211yescharacteristic
235#2421C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2415C2211yescharacteristic
242#2415C2212yes—
243#2414C2212yes—
244#2414C2211yescharacteristic
245#2409C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2398C2212yes—
254#2398C2212yes—
255#2392C2212yes—
256#2392C2212yes—
257#2379C2214yes—
258#2366C2211yescharacteristic
259#2365C2211yescharacteristic
260#2363C2212yes—
261#2362C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2360C2212yes—
265#2355C2211yescharacteristic
266#2355C2212yes—
267#2354C2211yescharacteristic
268#2352C2212yes—
269D4×C4⋊C4C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2337C2214yes—
273#2331C2212yes—
274#2328C2212yes—
275#2326C2212yes—
276#2326C2212yes—
277#2324C2212yes—
278#2311C2212yes—
279#2310C2212yes—
280#2310C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290#2298C2212yes—
291#2297C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#555—48no—
305#550—44no—
306#548—48no—
307#548—48no—
308#547—44no—
309#533—44no—
310#532—44no—
311C2×C4⋊Q8—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C4×#41—44no—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2314yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408#401C2314yes—
409#401C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2312yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2312yes—
515#393C2312yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2314yes—
533#392C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2314yes—
545#391C2314yes—
546#391C2314yes—
547#391C2314yes—
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#391C2314yes—
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2312yes—
562#391C2311yescharacteristic
563#391C2312yes—
564#391C2314yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2314yes—
568#391C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2314yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
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#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#383C2314yes—
739#383C2312yes—
740#382C2314yes—
741#382C2311yescharacteristic
742#382C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2312yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—42no—
820C2×#41—42no—
821C2×#41—42no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8—28no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×Q8C2412yes—
841C22×Q8C2414yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—44no—
879C4⋊Q8—42no—
880C4⋊Q8—42no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—42no—
884#127—24no—
885#127—44no—
886#127—44no—
887#125—44no—
888#124—44no—
889#124—48no—
890#124—48no—
891#124—44no—
892#124—42no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—44no—
897#124—48no—
898#124—48no—
899#124—48no—
900#124—48no—
901#123—48no—
902C22⋊Q8—44no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—42no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914#121—24no—
915#121—28no—
916#121—44no—
917#121—48no—
918#121—48no—
919#121—44no—
920#121—42no—
921#121—42no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—48no—
929#121—48no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—42no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—48no—
954C4×D4—48no—
955#117—24no—
956#117—44no—
957#117—44no—
958#117—44no—
959#117—48no—
960#117—42no—
961#117—42no—
962#117—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C42—24no—
1089C2×C42—24no—
1090C2×C42—44no—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194C24C2512yes—
1195C24C2514yes—
1196C24C2511yescharacteristic
1197#41—416no—
1198#41—816no—
1199#41—816no—
1200#41—816no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—28no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—42no—
1220C2×Q8—44no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—816no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—28no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—42no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—41no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—41no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4H(5,𝔽2)14yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2514yes—
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—41no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—22no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—22no—
1417C22⋊C4—28no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—41no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—22no—
1490C42—24no—
1491C42—22no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42—41no—
1496C42—42no—
1497C42—44no—
1498C42—41no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42H(5,𝔽2)14yes—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—21no—
1517C23—22no—
1518C23—22no—
1519C23—21no—
1520C23—24no—
1521C23—22no—
1522C23—21no—
1523C23—24no—
1524C23—22no—
1525C23—24no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—24no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23C2×H(5,𝔽2)12yes—
1538C23C2611yescharacteristic
1539Q8—44no—
1540Q8—44no—
1541Q8—48no—
1542Q8—48no—
1543Q8—84no—
1544Q8—88no—
1545Q8—84no—
1546Q8—164no—
1547D4—44no—
1548D4—48no—
1549D4—48no—
1550D4—44no—
1551D4—48no—
1552D4—48no—
1553D4—44no—
1554D4—84no—
1555D4—88no—
1556D4—84no—
1557D4—84no—
1558D4—88no—
1559D4—88no—
1560D4—88no—
1561D4—164no—
1562D4—164no—
1563D4—164no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—28no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—82no—
1654C2×C4—88no—
1655C2×C4—88no—
1656C2×C4—84no—
1657C2×C4—88no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C2×C4#58512yes—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—44no—
1680C22—41no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—41no—
1685C22—42no—
1686C22—42no—
1687C22—44no—
1688C22—41no—
1689C22—44no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—41no—
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C222−1+611yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—41no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—41no—
1721C4—44no—
1722C4—44no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—41no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C4—41no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—42no—
1737C4—41no—
1738C4—42no—
1739C4#354014yes—
1740C4#355814yes—
1741C2—42no—
1742C2—81no—
1743C2—82no—
1744C2—82no—
1745C2—84no—
1746C2C2×#354011yescharacteristic
1747C2C2×#355811yescharacteristic
1748C2#6283611yescharacteristic
1749C2#6292511yescharacteristic
1750C2#6295411yescharacteristic
1751C2#6296811yescharacteristic
1752C2#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. #59639C2semidirect
2. #59125C2semidirect
3. #59033C2semidirect
4. #56475C2semidirect
5. #55421C2semidirect
6. #54512C2semidirect
7. #53128C2semidirect
8. #53080C2semidirect
9. #48199C2semidirect
10. #46016C2semidirect
11. #45619C2semidirect
12. #45385C2semidirect
13. #45168C2semidirect
14. #42883C2semidirect
15. #42709C2semidirect
16. #42598C2semidirect
17. #42503C2semidirect
18. #40033C2semidirect
19. #40002C2semidirect
20. #39771C2semidirect
21. #39725C2semidirect
22. #39159C2semidirect
23. #38956C2semidirect
24. #38248C2semidirect
25. #38095C2semidirect
26. #37631C2semidirect
27. #37414C2semidirect
28. #37322C2semidirect
29. #36404C2semidirect
30. #36273C2semidirect
31. #36122C2semidirect
32. #35320C2semidirect
33. #35190C2semidirect
34. #34800C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#596392
#591252
#590332
#564752
#554212
#545122
#531282
#530802
#481992
#460162
#456192
#453852
#451682
#428832
#427092
#425982
#425032
#400332
#400022
#397712
#397252
#391592
#389562
#382482
#380952
#376312
#374142
#373222
#364042
#362732
#361222
#353202
#351902
#348002
#347202