Finite Group Databasebeta

← #7986158

Subgroups — #7986158

Order 512.

4717 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59842C212yesmaximal, complemented
2#59646C211yesmaximal, characteristic, complemented
3#59262C211yesmaximal, characteristic, complemented
4#59258C212yesmaximal, complemented
5#59218C211yesmaximal, characteristic, complemented
6#50617C214yesmaximal, complemented
7#49415C214yesmaximal, complemented
8#45961C214yesmaximal, complemented
9#45090C212yesmaximal, complemented
10#45029C212yesmaximal, complemented
11#44986C212yesmaximal, complemented
12#44912C212yesmaximal, complemented
13#42892C212yesmaximal, complemented
14#42842C212yesmaximal, complemented
15#42694C212yesmaximal, complemented
16#42658C212yesmaximal, complemented
17#39761C211yesmaximal, characteristic, complemented
18#39753C211yesmaximal, characteristic, complemented
19#39735C211yesmaximal, characteristic, complemented
20#39726C211yesmaximal, characteristic, complemented
21#38439C214yesmaximal, complemented
22#38290C212yesmaximal, complemented
23#37953C212yesmaximal, complemented
24#36493C211yesmaximal, characteristic, complemented
25#36421C212yesmaximal, complemented
26#36420C212yesmaximal, complemented
27#36302C211yesmaximal, characteristic, complemented
28#36187C211yesmaximal, characteristic, complemented
29#35194C212yesmaximal, complemented
30#35164C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34720C211yesmaximal, characteristic, complemented
33#34498C211yesmaximal, characteristic, complemented
34#34374C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#555C2212yes—
38C2×#552C2214yes—
39C2×#533C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2868C2211yescharacteristic
42#2866C2214yes—
43#2865C2214yes—
44#2861C2214yes—
45#2861C2212yes—
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2850C2212yes—
49#2829C2214yes—
50#2829C2214yes—
51#2808C2214yes—
52#2803C2214yes—
53#2803C2214yes—
54#2803C2214yes—
55#2800C2214yes—
56#2797C2214yes—
57#2796C2214yes—
58#2793C2214yes—
59#2791C2214yes—
60#2786C2214yes—
61#2784C2214yes—
62#2783C2214yes—
63#2781C2214yes—
64#2775C2214yes—
65#2769C2214yes—
66#2756C2214yes—
67#2756C2214yes—
68#2753C2214yes—
69#2741C2214yes—
70#2737C2214yes—
71#2716C2214yes—
72#2714C2214yes—
73#2713C2214yes—
74#2711C2214yes—
75#2710C2214yes—
76#2707C2214yes—
77#2707C2214yes—
78#2703C2214yes—
79#2702C2214yes—
80#2700C2214yes—
81#2695C2214yes—
82#2695C2214yes—
83#2681C2214yes—
84#2662C2214yes—
85#2661C2214yes—
86#2660C2212yes—
87#2653C2214yes—
88#2651C2214yes—
89#2650C2214yes—
90#2648C2214yes—
91#2640C2212yes—
92#2620C2212yes—
93#2619C2212yes—
94#2611C2214yes—
95#2610C2214yes—
96#2609C2214yes—
97#2602C2214yes—
98#2601C2214yes—
99#2597C2214yes—
100#2596C2214yes—
101#2595C2214yes—
102#2592C2214yes—
103#2592C2212yes—
104#2591C2214yes—
105#2589C2214yes—
106#2582C2211yescharacteristic
107#2578C2214yes—
108#2577C2214yes—
109#2571C2211yescharacteristic
110#2570C2212yes—
111#2565C2212yes—
112#2563C2212yes—
113#2552C2211yescharacteristic
114#2552C2212yes—
115#2550C2212yes—
116#2548C2211yescharacteristic
117#2548C2212yes—
118#2545C2212yes—
119#2541C2211yescharacteristic
120#2540C2212yes—
121#2538C2212yes—
122#2538C2212yes—
123#2538C2211yescharacteristic
124#2537C2212yes—
125#2537C2212yes—
126#2535C2212yes—
127#2535C2212yes—
128#2532C2214yes—
129#2531C2214yes—
130#2531C2214yes—
131#2531C2214yes—
132#2530C2214yes—
133#2530C2212yes—
134#2529C2214yes—
135#2528C2212yes—
136#2527C2214yes—
137#2525C2214yes—
138#2522C2214yes—
139#2517C2212yes—
140#2513C2212yes—
141#2513C2212yes—
142#2513C2212yes—
143#2512C2212yes—
144#2512C2212yes—
145#2511C2212yes—
146#2511C2211yescharacteristic
147#2506C2212yes—
148#2506C2212yes—
149#2506C2212yes—
150#2506C2211yescharacteristic
151#2500C2212yes—
152#2500C2212yes—
153#2500C2212yes—
154#2500C2212yes—
155#2500C2212yes—
156#2499C2212yes—
157#2499C2211yescharacteristic
158#2497C2212yes—
159#2496C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2495C2212yes—
163#2494C2211yescharacteristic
164#2492C2212yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2490C2212yes—
170#2490C2212yes—
171#2490C2212yes—
172#2489C2211yescharacteristic
173#2485C2212yes—
174#2485C2211yescharacteristic
175#2485C2214yes—
176#2481C2214yes—
177#2477C2214yes—
178#2477C2212yes—
179#2476C2214yes—
180#2475C2212yes—
181#2475C2214yes—
182#2475C2214yes—
183#2474C2214yes—
184#2471C2214yes—
185#2463C2212yes—
186#2460C2212yes—
187#2460C2214yes—
188#2460C2212yes—
189#2459C2214yes—
190#2458C2214yes—
191#2456C2214yes—
192#2452C2212yes—
193#2452C2211yescharacteristic
194#2451C2212yes—
195#2448C2212yes—
196#2446C2211yescharacteristic
197#2445C2212yes—
198#2445C2212yes—
199#2442C2214yes—
200#2441C2211yescharacteristic
201#2439C2212yes—
202#2439C2211yescharacteristic
203#2432C2211yescharacteristic
204#2431C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2427C2211yescharacteristic
208#2426C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2422C2212yes—
212#2422C2212yes—
213#2421C2211yescharacteristic
214#2421C2214yes—
215#2415C2211yescharacteristic
216#2415C2211yescharacteristic
217#2414C2212yes—
218#2407C2211yescharacteristic
219#2401C2212yes—
220#2398C2212yes—
221#2395C2212yes—
222#2392C2212yes—
223#2382C2214yes—
224#2376C2214yes—
225#2370C2212yes—
226#2367C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2366C2211yescharacteristic
230#2366C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2363C2212yes—
236#2362C2212yes—
237#2356C2212yes—
238#2356C2212yes—
239#2355C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yes—
245#2354C2212yes—
246#2354C2211yescharacteristic
247#2354C2212yes—
248#2354C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2212yes—
256#2346C2214yes—
257#2346C2212yes—
258#2341C2212yes—
259#2331C2212yes—
260#2331C2212yes—
261#2326C2212yes—
262#2326C2212yes—
263#2324C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2214yes—
267#2323C2212yes—
268#2322C2214yes—
269#2319C2212yes—
270#2319C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×#127C2211yescharacteristic
274C4×#125C2212yes—
275C4×#125C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283#2298C2214yes—
284#2298C2212yes—
285#2295C2211yescharacteristic
286#2295C2211yescharacteristic
287#2293C2214yes—
288#2293C2212yes—
289#2293C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#559—28no—
301#555—48no—
302#552—416no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C4×#41—28no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C22×C4⋊C4C2314yes—
388C22×C42C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391#401C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#399C2312yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2312yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2312yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2314yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2314yes—
683#386C2312yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#383C2314yes—
716#383C2314yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2314yes—
727#382C2312yes—
728#381C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2312yes—
811#376C2314yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2314yes—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851#127—24no—
852#127—44no—
853#126—48no—
854#126—48no—
855#125—28no—
856#125—28no—
857#125—44no—
858#125—42no—
859#125—48no—
860#125—48no—
861#124—28no—
862#124—28no—
863#124—48no—
864#124—48no—
865#124—44no—
866#124—42no—
867#123—216no—
868#123—48no—
869#123—48no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—48no—
875C22⋊Q8—42no—
876C22⋊Q8—42no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—42no—
887#121—44no—
888#121—48no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—48no—
898C4×Q8#4118yes—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—48no—
915#117—24no—
916#117—28no—
917#117—216no—
918#117—28no—
919#117—44no—
920#117—48no—
921#117—44no—
922#117—44no—
923#117—48no—
924#117—42no—
925#117—44no—
926#117—44no—
927#117—42no—
928C2×C4⋊C4—48no—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C42—24no—
1057C2×C42—28no—
1058C2×C42—24no—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24C2511yescharacteristic
1168C24C2514yes—
1169C24C2512yes—
1170C24C2511yescharacteristic
1171#41—416no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—42no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8C2×#4114yes—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4C2×#4114yes—
1354C4⋊C4C2×#4118yes—
1355C4⋊C4H(5,𝔽2)14yes—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—28no—
1425C42—28no—
1426C42—24no—
1427C42—22no—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—42no—
1437C42—41no—
1438C42—42no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42C2×#4114yes—
1449C42C2×#4118yes—
1450C23—21no—
1451C23—24no—
1452C23—22no—
1453C23—21no—
1454C23—22no—
1455C23—24no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—24no—
1462C23—21no—
1463C23—21no—
1464C23—22no—
1465C23—24no—
1466C23—22no—
1467C23—24no—
1468C23—21no—
1469C23—21no—
1470C23—24no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—24no—
1477C23—22no—
1478C23C2611yescharacteristic
1479Q8—28no—
1480Q8—48no—
1481Q8—44no—
1482Q8—44no—
1483Q8—164no—
1484D4—44no—
1485D4—48no—
1486D4—48no—
1487D4—44no—
1488D4—48no—
1489D4—84no—
1490D4—88no—
1491D4—84no—
1492D4—164no—
1493D4—164no—
1494D4—164no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—44no—
1577C2×C4—48no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4#58512yes—
1597C2×C4#58512yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C22—41no—
1601C22—42no—
1602C22—41no—
1603C22—44no—
1604C22—44no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—44no—
1612C22—41no—
1613C22—41no—
1614C22—44no—
1615C22—42no—
1616C22—41no—
1617C22—41no—
1618C22—42no—
1619C22—44no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—44no—
1624C22—42no—
1625C22—44no—
1626C22—41no—
1627C22—41no—
1628C22C23×#4111yescharacteristic
1629C22C22×H(5,𝔽2)11yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C222−1+611yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—24no—
1638C4—22no—
1639C4—22no—
1640C4—24no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—42no—
1651C4—44no—
1652C4—44no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4#349314yes—
1665C4#352414yes—
1666C2—81no—
1667C2—81no—
1668C2—82no—
1669C2—84no—
1670C2#6275911yescharacteristic
1671C2C2×#349311yescharacteristic
1672C2C2×#352411yescharacteristic
1673C2#6296711yescharacteristic
1674C2#6296811yescharacteristic
1675C2#6298511yescharacteristic
1676C2#6303511yescharacteristic
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. #59842C2semidirect
2. #59646C2semidirect
3. #59262C2semidirect
4. #59258C2semidirect
5. #59218C2semidirect
6. #50617C2semidirect
7. #49415C2semidirect
8. #45961C2semidirect
9. #45090C2semidirect
10. #45029C2semidirect
11. #44986C2semidirect
12. #44912C2semidirect
13. #42892C2semidirect
14. #42842C2semidirect
15. #42694C2semidirect
16. #42658C2semidirect
17. #39761C2semidirect
18. #39753C2semidirect
19. #39735C2semidirect
20. #39726C2semidirect
21. #38439C2semidirect
22. #38290C2semidirect
23. #37953C2semidirect
24. #36493C2semidirect
25. #36421C2semidirect
26. #36420C2semidirect
27. #36302C2semidirect
28. #36187C2semidirect
29. #35194C2semidirect
30. #35164C2semidirect
31. #34793C2semidirect
32. #34720C2semidirect
33. #34498C2semidirect
34. #34374C2semidirect
35. #34129C2semidirect

Maximal subgroups

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

subgroupindex
#598422
#596462
#592622
#592582
#592182
#506172
#494152
#459612
#450902
#450292
#449862
#449122
#428922
#428422
#426942
#426582
#397612
#397532
#397352
#397262
#384392
#382902
#379532
#364932
#364212
#364202
#363022
#361872
#351942
#351642
#347932
#347202
#344982
#343742
#341292