Finite Group Databasebeta

← #8429375

Subgroups — #8429375

Order 512.

4537 conjugacy classes of subgroups.

The subgroup lattice has 1691 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59771C212yesmaximal, complemented
2#59640C211yesmaximal, characteristic, complemented
3#59486C212yesmaximal, complemented
4#59084C211yesmaximal, characteristic, complemented
5#59049C211yesmaximal, characteristic, complemented
6#54725C214yesmaximal, complemented
7#54700C214yesmaximal, complemented
8#53087C212yesmaximal, complemented
9#53080C212yesmaximal, complemented
10#53079C212yesmaximal, complemented
11#53061C212yesmaximal, complemented
12#52334C214yesmaximal, complemented
13#42900C212yesmaximal, complemented
14#42778C212yesmaximal, complemented
15#42754C212yesmaximal, complemented
16#42734C212yesmaximal, complemented
17#40551C214yesmaximal, complemented
18#39811C212yesmaximal, complemented
19#39643C211yesmaximal, characteristic, complemented
20#39597C211yesmaximal, characteristic, complemented
21#39536C212yesmaximal, complemented
22#39532C212yesmaximal, complemented
23#39268C212yesmaximal, complemented
24#39172C211yesmaximal, characteristic, complemented
25#39158C211yesmaximal, characteristic, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37629C212yesmaximal, complemented
28#37619C211yesmaximal, characteristic, complemented
29#37511C212yesmaximal, complemented
30#36405C211yesmaximal, characteristic, complemented
31#36288C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2862C2211yescharacteristic
43#2862C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2832C2214yes—
48#2830C2214yes—
49#2830C2214yes—
50#2830C2214yes—
51#2829C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2827C2214yes—
56#2826C2214yes—
57#2824C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2816C2214yes—
61#2808C2214yes—
62#2804C2214yes—
63#2803C2214yes—
64#2803C2214yes—
65#2799C2214yes—
66#2798C2214yes—
67#2798C2214yes—
68#2796C2214yes—
69#2787C2214yes—
70#2786C2214yes—
71#2782C2214yes—
72#2780C2214yes—
73#2773C2214yes—
74#2761C2214yes—
75#2759C2214yes—
76#2755C2214yes—
77#2754C2214yes—
78#2754C2214yes—
79#2753C2214yes—
80#2752C2214yes—
81#2751C2214yes—
82#2751C2214yes—
83#2746C2214yes—
84#2745C2214yes—
85#2739C2214yes—
86#2731C2214yes—
87#2731C2214yes—
88#2730C2214yes—
89#2716C2214yes—
90#2716C2214yes—
91#2714C2214yes—
92#2713C2214yes—
93#2712C2214yes—
94#2712C2214yes—
95#2700C2214yes—
96#2700C2214yes—
97#2677C2214yes—
98#2658C2212yes—
99#2653C2214yes—
100#2651C2214yes—
101#2650C2214yes—
102#2649C2214yes—
103#2647C2212yes—
104#2644C2214yes—
105#2644C2212yes—
106#2644C2212yes—
107#2644C2212yes—
108#2640C2212yes—
109#2640C2212yes—
110#2640C2212yes—
111#2640C2212yes—
112#2640C2214yes—
113#2638C2214yes—
114#2638C2214yes—
115#2638C2214yes—
116#2636C2214yes—
117#2633C2214yes—
118#2628C2212yes—
119#2624C2212yes—
120#2624C2212yes—
121#2612C2214yes—
122#2610C2214yes—
123#2607C2214yes—
124#2597C2214yes—
125#2592C2212yes—
126#2589C2214yes—
127#2587C2214yes—
128#2582C2211yescharacteristic
129#2582C2212yes—
130#2581C2212yes—
131#2580C2212yes—
132#2580C2212yes—
133#2575C2214yes—
134#2574C2214yes—
135#2568C2212yes—
136#2568C2212yes—
137#2567C2211yescharacteristic
138#2563C2211yescharacteristic
139#2560C2214yes—
140#2551C2212yes—
141#2551C2211yescharacteristic
142#2548C2212yes—
143#2548C2212yes—
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2211yescharacteristic
147#2547C2212yes—
148#2546C2211yescharacteristic
149#2546C2211yescharacteristic
150#2546C2212yes—
151#2545C2212yes—
152#2544C2212yes—
153#2541C2211yescharacteristic
154#2540C2212yes—
155#2535C2212yes—
156#2533C2212yes—
157#2527C2214yes—
158#2527C2212yes—
159#2526C2214yes—
160#2523C2212yes—
161#2517C2214yes—
162#2514C2211yescharacteristic
163#2511C2212yes—
164#2509C2212yes—
165#2509C2211yescharacteristic
166#2508C2212yes—
167#2508C2212yes—
168#2500C2212yes—
169#2500C2212yes—
170#2499C2211yescharacteristic
171#2496C2211yescharacteristic
172#2494C2212yes—
173#2494C2212yes—
174#2493C2214yes—
175#2492C2212yes—
176#2492C2214yes—
177#2492C2212yes—
178#2492C2211yescharacteristic
179#2491C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2211yescharacteristic
186#2478C2214yes—
187#2477C2212yes—
188#2475C2212yes—
189#2468C2214yes—
190#2467C2214yes—
191#2466C2212yes—
192#2463C2212yes—
193#2460C2212yes—
194#2459C2214yes—
195#2459C2214yes—
196#2452C2212yes—
197#2452C2212yes—
198#2452C2212yes—
199#2452C2214yes—
200#2452C2212yes—
201#2452C2211yescharacteristic
202#2450C2214yes—
203#2448C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2447C2212yes—
208#2447C2212yes—
209#2447C2214yes—
210#2446C2212yes—
211#2446C2212yes—
212#2446C2211yescharacteristic
213#2439C2211yescharacteristic
214#2439C2212yes—
215#2439C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2439C2211yescharacteristic
219#2432C2212yes—
220#2432C2212yes—
221#2432C2211yescharacteristic
222#2432C2214yes—
223#2432C2212yes—
224#2431C2212yes—
225#2431C2212yes—
226#2429C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2426C2212yes—
232#2426C2212yes—
233#2423C2212yes—
234#2421C2212yes—
235#2421C2212yes—
236#2421C2211yescharacteristic
237#2420C2212yes—
238#2420C2212yes—
239#2420C2212yes—
240#2415C2211yescharacteristic
241#2415C2212yes—
242#2415C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2401C2212yes—
250#2398C2212yes—
251#2398C2212yes—
252#2392C2212yes—
253#2388C2214yes—
254#2369C2212yes—
255#2369C2211yescharacteristic
256#2368C2214yes—
257#2367C2212yes—
258#2367C2212yes—
259#2365C2212yes—
260#2365C2211yescharacteristic
261#2363C2212yes—
262#2363C2212yes—
263#2362C2212yes—
264#2357C2212yes—
265#2355C2211yescharacteristic
266#2354C2211yescharacteristic
267#2349C2212yes—
268#2346C2212yes—
269#2341C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2331C2212yes—
273#2331C2212yes—
274#2327C2212yes—
275#2323C2212yes—
276#2318C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#126C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2296C2212yes—
291#2295C2211yescharacteristic
292#2295C2212yes—
293#2295C2212yes—
294#2295C2211yescharacteristic
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302Q82—44no—
303#556—44no—
304#533—44no—
305#532—44no—
306#532—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2314yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C4×#41—44no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392#401C2314yes—
393#401C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2312yes—
513#393C2314yes—
514#393C2314yes—
515#393C2312yes—
516#393C2314yes—
517#393C2312yes—
518#393C2312yes—
519#392C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2314yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2314yes—
556#391C2314yes—
557#391C2311yescharacteristic
558#391C2312yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#383C2312yes—
731#383C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2311yescharacteristic
735#382C2314yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2314yes—
741#382C2312yes—
742#381C2312yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
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—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2414yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—42no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—42no—
868C4⋊Q8—48no—
869C4⋊Q8—84no—
870#127—24no—
871#127—44no—
872#126—44no—
873#126—48no—
874#125—44no—
875#124—42no—
876#124—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—84no—
883#124—84no—
884#124—84no—
885C22⋊Q8—24no—
886C22⋊Q8—44no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891C22⋊Q8—42no—
892C22⋊Q8—42no—
893C22⋊Q8—42no—
894C22⋊Q8—44no—
895C22⋊Q8—84no—
896C22⋊Q8—82no—
897#121—28no—
898#121—44no—
899#121—42no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—44no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—48no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—84no—
930C4×D4—82no—
931#117—24no—
932#117—44no—
933#117—44no—
934#117—44no—
935#117—42no—
936#117—42no—
937#117—44no—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2514yes—
1175C24C2511yescharacteristic
1176#41—416no—
1177#41—816no—
1178#41—816no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—41no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—41no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C42−1+414yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—42no—
1447C42—42no—
1448C42—44no—
1449C42—42no—
1450C42—44no—
1451C42—41no—
1452C42—42no—
1453C42—41no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42H(5,𝔽2)14yes—
1459C23—22no—
1460C23—21no—
1461C23—24no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—24no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—24no—
1472C23—21no—
1473C23—21no—
1474C23—22no—
1475C23—24no—
1476C23—24no—
1477C23—22no—
1478C23—24no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—24no—
1486C23—21no—
1487C23C2611yescharacteristic
1488Q8—44no—
1489Q8—44no—
1490Q8—48no—
1491Q8—44no—
1492Q8—84no—
1493Q8—84no—
1494Q8—84no—
1495Q8—164no—
1496Q8—164no—
1497D4—48no—
1498D4—44no—
1499D4—48no—
1500D4—44no—
1501D4—48no—
1502D4—48no—
1503D4—88no—
1504D4—88no—
1505D4—84no—
1506D4—88no—
1507D4—88no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—48no—
1599C2×C4—84no—
1600C2×C4—82no—
1601C2×C4—88no—
1602C2×C4—88no—
1603C2×C4—164no—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×2−1+414yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C2×C4#58512yes—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—44no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—44no—
1621C22—41no—
1622C22—41no—
1623C22—42no—
1624C22—44no—
1625C22—41no—
1626C22—41no—
1627C22—44no—
1628C22—42no—
1629C22—41no—
1630C22—44no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—44no—
1635C22—41no—
1636C22—41no—
1637C22—44no—
1638C22—41no—
1639C22—42no—
1640C22—41no—
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22H(7,𝔽2)11yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—24no—
1651C4—41no—
1652C4—41no—
1653C4—42no—
1654C4—44no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—41no—
1674C4—44no—
1675C4—42no—
1676C4—42no—
1677C4#354014yes—
1678C4#355414yes—
1679C2—81no—
1680C2—82no—
1681C2—81no—
1682C2—84no—
1683C2C2×#354011yescharacteristic
1684C2C2×#355411yescharacteristic
1685C2#6276211yescharacteristic
1686C2#6292411yescharacteristic
1687C2#6295111yescharacteristic
1688C2#6296611yescharacteristic
1689C2#6303411yescharacteristic
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. #59771C2semidirect
2. #59640C2semidirect
3. #59486C2semidirect
4. #59084C2semidirect
5. #59049C2semidirect
6. #54725C2semidirect
7. #54700C2semidirect
8. #53087C2semidirect
9. #53080C2semidirect
10. #53079C2semidirect
11. #53061C2semidirect
12. #52334C2semidirect
13. #42900C2semidirect
14. #42778C2semidirect
15. #42754C2semidirect
16. #42734C2semidirect
17. #40551C2semidirect
18. #39811C2semidirect
19. #39643C2semidirect
20. #39597C2semidirect
21. #39536C2semidirect
22. #39532C2semidirect
23. #39268C2semidirect
24. #39172C2semidirect
25. #39158C2semidirect
26. #37629C2semidirect
27. #37629C2semidirect
28. #37619C2semidirect
29. #37511C2semidirect
30. #36405C2semidirect
31. #36288C2semidirect
32. #36149C2semidirect
33. #34977C2semidirect
34. #34803C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#597712
#596402
#594862
#590842
#590492
#547252
#547002
#530872
#530802
#530792
#530612
#523342
#429002
#427782
#427542
#427342
#405512
#398112
#396432
#395972
#395362
#395322
#392682
#391722
#391582
#376292
#376192
#375112
#364052
#362882
#361492
#349772
#348032
#347202