Finite Group Databasebeta

← #8464313

Subgroups — #8464313

Order 512.

4959 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59428C211yesmaximal, characteristic, complemented
2#59064C211yesmaximal, characteristic, complemented
3#59033C211yesmaximal, characteristic, complemented
4#55605C214yesmaximal, complemented
5#54002C214yesmaximal, complemented
6#53750C214yesmaximal, complemented
7#53087C212yesmaximal, complemented
8#53063C212yesmaximal, complemented
9#48062C214yesmaximal, complemented
10#46050C212yesmaximal, complemented
11#46042C212yesmaximal, complemented
12#45368C212yesmaximal, complemented
13#45141C212yesmaximal, complemented
14#42889C212yesmaximal, complemented
15#42595C212yesmaximal, complemented
16#42584C212yesmaximal, complemented
17#42540C212yesmaximal, complemented
18#39745C211yesmaximal, characteristic, complemented
19#39741C212yesmaximal, complemented
20#39726C211yesmaximal, characteristic, complemented
21#39525C212yesmaximal, complemented
22#39185C212yesmaximal, complemented
23#39148C211yesmaximal, characteristic, complemented
24#39009C212yesmaximal, complemented
25#38909C211yesmaximal, characteristic, complemented
26#37619C211yesmaximal, characteristic, complemented
27#37357C212yesmaximal, complemented
28#37343C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32#35191C211yesmaximal, characteristic, complemented
33#35187C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34803C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×#556C2212yes—
39C2×#550C2212yes—
40C2×#550C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45#2867C2211yescharacteristic
46#2864C2212yes—
47#2863C2212yes—
48#2861C2212yes—
49#2860C2212yes—
50#2858C2212yes—
51#2858C2212yes—
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic
54#2829C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2827C2214yes—
58#2826C2214yes—
59#2825C2214yes—
60#2818C2214yes—
61#2816C2214yes—
62#2797C2214yes—
63#2796C2214yes—
64#2796C2214yes—
65#2780C2214yes—
66#2778C2214yes—
67#2761C2214yes—
68#2761C2214yes—
69#2760C2214yes—
70#2757C2214yes—
71#2756C2214yes—
72#2752C2214yes—
73#2751C2214yes—
74#2749C2214yes—
75#2749C2214yes—
76#2749C2214yes—
77#2746C2214yes—
78#2743C2214yes—
79#2737C2214yes—
80#2730C2214yes—
81#2730C2214yes—
82#2723C2214yes—
83#2715C2214yes—
84#2714C2214yes—
85#2714C2214yes—
86#2714C2214yes—
87#2714C2214yes—
88#2709C2214yes—
89#2709C2214yes—
90#2708C2214yes—
91#2707C2214yes—
92#2705C2214yes—
93#2705C2214yes—
94#2700C2214yes—
95#2699C2214yes—
96#2691C2214yes—
97#2691C2214yes—
98#2689C2214yes—
99#2688C2214yes—
100#2688C2214yes—
101#2688C2214yes—
102#2686C2214yes—
103#2686C2214yes—
104#2681C2214yes—
105#2676C2214yes—
106#2676C2214yes—
107#2676C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2671C2214yes—
111#2661C2214yes—
112#2658C2212yes—
113#2657C2212yes—
114#2655C2214yes—
115#2648C2214yes—
116#2644C2212yes—
117#2640C2212yes—
118#2639C2214yes—
119#2636C2214yes—
120#2633C2214yes—
121#2631C2214yes—
122#2624C2212yes—
123#2624C2212yes—
124#2624C2212yes—
125#2620C2212yes—
126#2619C2214yes—
127#2603C2214yes—
128#2598C2214yes—
129#2592C2212yes—
130#2582C2211yescharacteristic
131#2581C2212yes—
132#2580C2212yes—
133#2580C2212yes—
134#2571C2211yescharacteristic
135#2568C2211yescharacteristic
136#2560C2212yes—
137#2559C2214yes—
138#2558C2212yes—
139#2550C2211yescharacteristic
140#2548C2212yes—
141#2548C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2548C2212yes—
145#2548C2211yescharacteristic
146#2547C2211yescharacteristic
147#2547C2212yes—
148#2546C2211yescharacteristic
149#2546C2211yescharacteristic
150#2545C2212yes—
151#2545C2211yescharacteristic
152#2544C2212yes—
153#2544C2212yes—
154#2544C2212yes—
155#2544C2214yes—
156#2541C2212yes—
157#2541C2212yes—
158#2541C2212yes—
159#2541C2211yescharacteristic
160#2540C2211yescharacteristic
161#2538C2212yes—
162#2536C2211yescharacteristic
163#2535C2212yes—
164#2535C2212yes—
165#2533C2212yes—
166#2527C2212yes—
167#2526C2214yes—
168#2524C2214yes—
169#2523C2212yes—
170#2519C2212yes—
171#2514C2211yescharacteristic
172#2514C2212yes—
173#2514C2212yes—
174#2512C2212yes—
175#2510C2214yes—
176#2509C2211yescharacteristic
177#2508C2212yes—
178#2504C2212yes—
179#2500C2212yes—
180#2499C2211yescharacteristic
181#2496C2211yescharacteristic
182#2496C2212yes—
183#2496C2212yes—
184#2492C2211yescharacteristic
185#2491C2211yescharacteristic
186#2489C2211yescharacteristic
187#2485C2211yescharacteristic
188#2478C2214yes—
189#2471C2214yes—
190#2471C2214yes—
191#2467C2214yes—
192#2467C2214yes—
193#2467C2214yes—
194#2466C2212yes—
195#2461C2212yes—
196#2454C2212yes—
197#2452C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2445C2212yes—
205#2445C2214yes—
206#2445C2212yes—
207#2444C2214yes—
208#2444C2214yes—
209#2444C2214yes—
210#2444C2214yes—
211#2440C2212yes—
212#2439C2211yescharacteristic
213#2432C2212yes—
214#2432C2212yes—
215#2432C2212yes—
216#2432C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2431C2212yes—
220#2431C2212yes—
221#2431C2212yes—
222#2431C2212yes—
223#2429C2211yescharacteristic
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2427C2212yes—
233#2427C2212yes—
234#2427C2212yes—
235#2426C2212yes—
236#2426C2212yes—
237#2426C2211yescharacteristic
238#2420C2212yes—
239#2420C2212yes—
240#2420C2212yes—
241#2420C2212yes—
242#2420C2212yes—
243#2419C2214yes—
244#2419C2214yes—
245#2419C2214yes—
246#2416C2212yes—
247#2416C2212yes—
248#2415C2211yescharacteristic
249#2414C2212yes—
250#2414C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2401C2212yes—
254#2398C2212yes—
255#2396C2212yes—
256#2392C2212yes—
257#2377C2214yes—
258#2366C2212yes—
259#2366C2212yes—
260#2366C2212yes—
261#2366C2211yescharacteristic
262#2366C2211yescharacteristic
263#2363C2212yes—
264#2357C2212yes—
265Q8×C4⋊C4C2211yescharacteristic
266#2349C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268#2344C2212yes—
269#2339C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2328C2212yes—
273#2328C2212yes—
274#2327C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2320C2212yes—
279#2318C2214yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2212yes—
284C4×#126C2212yes—
285C4×#124C2211yescharacteristic
286C4×#124C2212yes—
287C4×#124C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2295C2212yes—
293#2295C2211yescharacteristic
294#2293C2212yes—
295#2283C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#559—44no—
303#559—48no—
304#556—48no—
305#550—44no—
306#550—48no—
307#533—44no—
308#532—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2314yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327#529—44no—
328C2×#126C2312yes—
329C2×#126C2312yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#125C2311yescharacteristic
334C2×#125C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2311yescharacteristic
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2314yes—
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C22×C4⋊C4C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421#401C2314yes—
422#401C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2314yes—
429#400C2312yes—
430#400C2312yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2312yes—
440#399C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#395C2314yes—
486#395C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#393C2312yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#393C2312yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2312yes—
564#391C2312yes—
565#391C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2311yescharacteristic
602#390C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2312yes—
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#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
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#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#383C2312yes—
739#383C2314yes—
740#383C2314yes—
741#383C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2314yes—
747#382C2311yescharacteristic
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#381C2312yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2314yes—
771#380C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C4⋊Q8—24no—
871C4⋊Q8—42no—
872C4⋊Q8—42no—
873C4⋊Q8—44no—
874C4⋊Q8—42no—
875C4⋊Q8—44no—
876#127—24no—
877#127—24no—
878#127—28no—
879#127—44no—
880#127—44no—
881#127—44no—
882#127—44no—
883#127—44no—
884#127—48no—
885#127—44no—
886#127—82no—
887#126—44no—
888#126—48no—
889#126—44no—
890#126—48no—
891#126—84no—
892#125—42no—
893#125—44no—
894#124—24no—
895#124—44no—
896#124—44no—
897#124—42no—
898#124—44no—
899#124—44no—
900#124—44no—
901#124—44no—
902#124—48no—
903#124—44no—
904#124—44no—
905#124—44no—
906#124—84no—
907#123—44no—
908#123—48no—
909#123—48no—
910#123—48no—
911C22⋊Q8—48no—
912C22⋊Q8—44no—
913C22⋊Q8—42no—
914C22⋊Q8—42no—
915C22⋊Q8—42no—
916C22⋊Q8—42no—
917C22⋊Q8—42no—
918C22⋊Q8—42no—
919C22⋊Q8—84no—
920#121—48no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—42no—
929#121—42no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—84no—
938#121—84no—
939#121—84no—
940#121—82no—
941#121—82no—
942C4×Q8—24no—
943C4×Q8—24no—
944C4×Q8—28no—
945C4×Q8—24no—
946C4×Q8—28no—
947C4×Q8—24no—
948C4×Q8—44no—
949C4×Q8—42no—
950C4×Q8—44no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—48no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—42no—
971C4×D4—44no—
972#117—44no—
973#117—44no—
974#117—48no—
975#117—42no—
976#117—42no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2512yes—
1202C24C2511yescharacteristic
1203C24C2511yescharacteristic
1204C24C2514yes—
1205C24C2514yes—
1206#41—816no—
1207#41—816no—
1208#41—816no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—24no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—24no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—28no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—24no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—22no—
1510C42—42no—
1511C42—42no—
1512C42—44no—
1513C42—42no—
1514C42—42no—
1515C42—42no—
1516C42—42no—
1517C42—41no—
1518C42H(5,𝔽2)14yes—
1519C42H(5,𝔽2)14yes—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—21no—
1524C23—24no—
1525C23—21no—
1526C23—24no—
1527C23—24no—
1528C23—24no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—24no—
1539C23—24no—
1540C23—24no—
1541C23—24no—
1542C23—22no—
1543C23—24no—
1544C23—24no—
1545C23—24no—
1546C23—22no—
1547C23—22no—
1548C23—21no—
1549C23—24no—
1550C23—24no—
1551C23—24no—
1552C23—21no—
1553C23—21no—
1554C23—22no—
1555C23C2611yescharacteristic
1556Q8—44no—
1557Q8—44no—
1558Q8—48no—
1559Q8—44no—
1560Q8—84no—
1561Q8—84no—
1562D4—44no—
1563D4—44no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—48no—
1568D4—88no—
1569D4—88no—
1570D4—84no—
1571D4—84no—
1572D4—88no—
1573D4—84no—
1574D4—84no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—164no—
1579D4—164no—
1580D4—164no—
1581D4—164no—
1582D4—164no—
1583D4—164no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—82no—
1670C2×C4—82no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—88no—
1674C2×C4—88no—
1675C2×C4—164no—
1676C2×C4—164no—
1677C2×C4—164no—
1678C2×C4C2×H(5,𝔽2)12yes—
1679C2×C4C2×H(5,𝔽2)12yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)12yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4#58512yes—
1685C2×C4#58512yes—
1686C2×C4#58512yes—
1687C2×C4#58512yes—
1688C22—42no—
1689C22—41no—
1690C22—41no—
1691C22—44no—
1692C22—44no—
1693C22—41no—
1694C22—41no—
1695C22—44no—
1696C22—44no—
1697C22—42no—
1698C22—44no—
1699C22—44no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—44no—
1704C22—44no—
1705C22—41no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—44no—
1712C22—42no—
1713C22—44no—
1714C22—44no—
1715C22—44no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—42no—
1720C22—44no—
1721C22—44no—
1722C22—41no—
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C2×#58511yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22C2×#58511yescharacteristic
1728C22C2×#58511yescharacteristic
1729C22H(7,𝔽2)11yescharacteristic
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—44no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—44no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—41no—
1758C4#354614yes—
1759C4#356214yes—
1760C2—82no—
1761C2—81no—
1762C2—81no—
1763C2—84no—
1764C2—84no—
1765C2C2×#356211yescharacteristic
1766C2C2×#354611yescharacteristic
1767C2#6283611yescharacteristic
1768C2#6295511yescharacteristic
1769C2#6295511yescharacteristic
1770C2#6296611yescharacteristic
1771C2#6303011yescharacteristic
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. #59428C2semidirect
2. #59064C2semidirect
3. #59033C2semidirect
4. #55605C2semidirect
5. #54002C2semidirect
6. #53750C2semidirect
7. #53087C2semidirect
8. #53063C2semidirect
9. #48062C2semidirect
10. #46050C2semidirect
11. #46042C2semidirect
12. #45368C2semidirect
13. #45141C2semidirect
14. #42889C2semidirect
15. #42595C2semidirect
16. #42584C2semidirect
17. #42540C2semidirect
18. #39745C2semidirect
19. #39741C2semidirect
20. #39726C2semidirect
21. #39525C2semidirect
22. #39185C2semidirect
23. #39148C2semidirect
24. #39009C2semidirect
25. #38909C2semidirect
26. #37619C2semidirect
27. #37357C2semidirect
28. #37343C2semidirect
29. #36595C2semidirect
30. #36460C2semidirect
31. #36128C2semidirect
32. #35191C2semidirect
33. #35187C2semidirect
34. #34919C2semidirect
35. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#594282
#590642
#590332
#556052
#540022
#537502
#530872
#530632
#480622
#460502
#460422
#453682
#451412
#428892
#425952
#425842
#425402
#397452
#397412
#397262
#395252
#391852
#391482
#390092
#389092
#376192
#373572
#373432
#365952
#364602
#361282
#351912
#351872
#349192
#348032