Finite Group Databasebeta

← #7658077

Subgroups — #7658077

Order 512.

4637 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42873C212yesmaximal, complemented
2#42868C212yesmaximal, complemented
3#42638C212yesmaximal, complemented
4#42624C212yesmaximal, complemented
5#42145C214yesmaximal, complemented
6#42141C214yesmaximal, complemented
7#41894C214yesmaximal, complemented
8#41862C214yesmaximal, complemented
9#39753C211yesmaximal, characteristic, complemented
10#39746C211yesmaximal, characteristic, complemented
11#39286C212yesmaximal, complemented
12#39281C212yesmaximal, complemented
13#39139C211yesmaximal, characteristic, complemented
14#39137C211yesmaximal, characteristic
15#37773C212yesmaximal, complemented
16#37766C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37627C212yesmaximal, complemented
19#37625C211yesmaximal, characteristic, complemented
20#37579C212yesmaximal, complemented
21#36481C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36134C211yesmaximal, characteristic, complemented
24#36115C211yesmaximal, characteristic, complemented
25#35968C212yesmaximal, complemented
26#35963C212yesmaximal, complemented
27#35895C212yesmaximal, complemented
28#35890C212yesmaximal, complemented
29#35299C212yesmaximal, complemented
30#35277C211yesmaximal, characteristic, complemented
31#34631C212yesmaximal, complemented
32#34629C211yesmaximal, characteristic, complemented
33#34337C211yesmaximal, characteristic, complemented
34#34331C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#542C2212yes—
39C2×#533C2212yes—
40C2×#529C2211yescharacteristic
41C2×#529C2212yes—
42#2868C2211yescharacteristic
43#2863C2212yes—
44#2860C2212yes—
45#2858C2211yescharacteristic
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2850C2212yes—
50#2837C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2801C2214yes—
57#2796C2214yes—
58#2791C2214yes—
59#2790C2214yes—
60#2787C2214yes—
61#2747C2214yes—
62#2741C2214yes—
63#2732C2214yes—
64#2730C2214yes—
65#2725C2214yes—
66#2722C2214yes—
67#2721C2214yes—
68#2721C2214yes—
69#2718C2214yes—
70#2718C2214yes—
71#2713C2214yes—
72#2705C2214yes—
73#2694C2214yes—
74#2694C2214yes—
75#2694C2214yes—
76#2694C2214yes—
77#2682C2214yes—
78#2680C2214yes—
79#2672C2214yes—
80#2667C2214yes—
81#2664C2214yes—
82#2664C2214yes—
83#2663C2214yes—
84#2663C2214yes—
85#2660C2212yes—
86#2658C2212yes—
87#2655C2212yes—
88#2655C2212yes—
89#2654C2214yes—
90#2652C2212yes—
91#2652C2212yes—
92#2651C2214yes—
93#2651C2214yes—
94#2651C2214yes—
95#2651C2214yes—
96#2648C2214yes—
97#2647C2211yescharacteristic
98#2647C2212yes—
99#2645C2211yescharacteristic
100#2645C2211yescharacteristic
101#2644C2212yes—
102#2644C2212yes—
103#2642C2211yescharacteristic
104#2641C2212yes—
105#2640C2212yes—
106#2630C2214yes—
107#2629C2211yescharacteristic
108#2629C2214yes—
109#2625C2211yescharacteristic
110#2625C2211yescharacteristic
111#2625C2212yes—
112#2624C2214yes—
113#2624C2212yes—
114#2621C2211yescharacteristic
115#2621C2212yes—
116#2621C2212yes—
117#2620C2212yes—
118#2620C2212yes—
119#2620C2212yes—
120#2606C2214yes—
121#2597C2214yes—
122#2596C2214yes—
123#2594C2214yes—
124#2593C2214yes—
125#2589C2214yes—
126#2587C2214yes—
127#2578C2214yes—
128#2577C2214yes—
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2569C2214yes—
132#2565C2212yes—
133#2560C2214yes—
134#2559C2214yes—
135#2558C2214yes—
136#2552C2212yes—
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2552C2212yes—
140#2550C2212yes—
141#2548C2211yescharacteristic
142#2548C2212yes—
143#2547C2212yes—
144#2546C2211yescharacteristic
145#2545C2212yes—
146#2542C2211yescharacteristic
147#2542C2212yes—
148#2542C2212yes—
149#2541C2211yescharacteristic
150#2540C2212yes—
151#2538C2211yescharacteristic
152#2538C2211yescharacteristic
153#2537C2212yes—
154#2536C2212yes—
155#2532C2214yes—
156#2531C2214yes—
157#2531C2214yes—
158#2526C2214yes—
159#2526C2214yes—
160#2522C2214yes—
161#2513C2212yes—
162#2512C2212yes—
163#2512C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2510C2214yes—
167#2507C2212yes—
168#2507C2212yes—
169#2506C2212yes—
170#2500C2212yes—
171#2497C2214yes—
172#2491C2212yes—
173#2491C2212yes—
174#2490C2212yes—
175#2490C2214yes—
176#2479C2214yes—
177#2478C2214yes—
178#2477C2214yes—
179#2474C2214yes—
180#2471C2214yes—
181#2471C2214yes—
182#2468C2214yes—
183#2467C2214yes—
184#2454C2212yes—
185#2454C2212yes—
186#2454C2212yes—
187#2454C2212yes—
188#2452C2212yes—
189#2452C2212yes—
190#2451C2212yes—
191#2448C2212yes—
192#2448C2214yes—
193#2448C2212yes—
194#2448C2212yes—
195#2445C2212yes—
196#2445C2212yes—
197#2441C2214yes—
198#2441C2212yes—
199#2438C2214yes—
200#2429C2214yes—
201#2429C2212yes—
202#2429C2212yes—
203#2428C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2425C2214yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2214yes—
214#2423C2212yes—
215#2422C2212yes—
216#2422C2212yes—
217#2422C2212yes—
218#2421C2212yes—
219#2420C2212yes—
220#2402C2212yes—
221#2402C2212yes—
222#2401C2212yes—
223#2401C2212yes—
224#2396C2214yes—
225#2396C2214yes—
226#2395C2214yes—
227#2395C2214yes—
228#2374C2212yes—
229#2374C2212yes—
230#2373C2212yes—
231#2373C2212yes—
232#2370C2212yes—
233#2370C2214yes—
234#2370C2211yescharacteristic
235#2370C2211yescharacteristic
236#2370C2212yes—
237#2367C2212yes—
238#2367C2212yes—
239#2367C2211yescharacteristic
240#2367C2211yescharacteristic
241#2366C2211yescharacteristic
242#2366C2212yes—
243#2365C2211yescharacteristic
244#2365C2212yes—
245#2365C2212yes—
246#2363C2211yescharacteristic
247#2363C2212yes—
248#2363C2211yescharacteristic
249#2362C2211yescharacteristic
250#2362C2211yescharacteristic
251#2359C2214yes—
252#2357C2212yes—
253#2355C2211yescharacteristic
254#2354C2212yes—
255#2354C2212yes—
256#2354C2212yes—
257Q8×C4⋊C4C2211yescharacteristic
258Q8×C4⋊C4C2211yescharacteristic
259Q8×C4⋊C4C2211yescharacteristic
260Q8×C4⋊C4C2212yes—
261Q8×C4⋊C4C2212yes—
262#2349C2212yes—
263#2347C2212yes—
264#2335C2214yes—
265#2331C2212yes—
266#2330C2212yes—
267#2330C2214yes—
268#2326C2212yes—
269#2326C2212yes—
270#2326C2212yes—
271#2324C2212yes—
272#2323C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2212yes—
277C4×#127C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283#2298C2212yes—
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2276C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299#559—28no—
300#557—28no—
301#542—48no—
302#533—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—28no—
313#529—48no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2314yes—
384C2×#117C2314yes—
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2314yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391#401C2312yes—
392#401C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#396C2312yes—
487#395C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2312yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
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#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2314yes—
714#384C2312yes—
715#384C2312yes—
716#384C2312yes—
717#384C2314yes—
718#383C2314yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#381C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2314yes—
736#380C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2311yescharacteristic
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—28no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—82no—
845#127—24no—
846#127—44no—
847#126—28no—
848#126—48no—
849#126—48no—
850#126—84no—
851#125—24no—
852#125—28no—
853#125—216no—
854#125—24no—
855#125—44no—
856#125—48no—
857#125—84no—
858#124—24no—
859#124—28no—
860#124—28no—
861#124—28no—
862#124—44no—
863#124—44no—
864#124—48no—
865#123—28no—
866#123—216no—
867#123—48no—
868#123—48no—
869#123—84no—
870C22⋊Q8—24no—
871C22⋊Q8—48no—
872C22⋊Q8—42no—
873C22⋊Q8—44no—
874C22⋊Q8—42no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—84no—
881#121—24no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—44no—
886#121—84no—
887#121—82no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—48no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8#4118yes—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—44no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—48no—
912C4×D4—82no—
913#117—24no—
914#117—28no—
915#117—24no—
916#117—42no—
917#117—44no—
918#117—48no—
919#117—42no—
920#117—48no—
921#117—84no—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C42—24no—
1050C2×C42—28no—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2514yes—
1167C24C2511yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—28no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8C2×#4114yes—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—41no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4C2×#4114yes—
1341C4⋊C4C2×#4118yes—
1342C4⋊C42−1+414yes—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—28no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—42no—
1415C42—42no—
1416C42—41no—
1417C42—41no—
1418C42—42no—
1419C42—44no—
1420C42—44no—
1421C42—44no—
1422C42—42no—
1423C42—44no—
1424C42—41no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—42no—
1429C42—41no—
1430C42C2×#4114yes—
1431C42C2×#4118yes—
1432C42H(5,𝔽2)14yes—
1433C23—22no—
1434C23—24no—
1435C23—21no—
1436C23—21no—
1437C23—24no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—24no—
1442C23—21no—
1443C23—24no—
1444C23—22no—
1445C23—21no—
1446C23—24no—
1447C23—22no—
1448C23—22no—
1449C23—24no—
1450C23—21no—
1451C23—21no—
1452C23—24no—
1453C23—22no—
1454C23C2611yescharacteristic
1455Q8—28no—
1456Q8—44no—
1457Q8—48no—
1458Q8—44no—
1459Q8—88no—
1460D4—44no—
1461D4—48no—
1462D4—48no—
1463D4—84no—
1464D4—84no—
1465D4—88no—
1466D4—164no—
1467D4—164no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—48no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—48no—
1556C2×C4—88no—
1557C2×C4—82no—
1558C2×C4—88no—
1559C2×C4—84no—
1560C2×C4—164no—
1561C2×C4C22×#4114yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4114yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4112yes—
1566C2×C4C2×H(5,𝔽2)12yes—
1567C2×C4C2×H(5,𝔽2)12yes—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C2×C4C2×2−1+414yes—
1570C2×C4C2×2−1+412yes—
1571C2×C4#58512yes—
1572C2×C4#58512yes—
1573C22—42no—
1574C22—41no—
1575C22—44no—
1576C22—41no—
1577C22—44no—
1578C22—42no—
1579C22—41no—
1580C22—42no—
1581C22—44no—
1582C22—42no—
1583C22—44no—
1584C22—41no—
1585C22—41no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—41no—
1591C22—42no—
1592C22—44no—
1593C22—41no—
1594C22C23×#4111yescharacteristic
1595C22C22×H(5,𝔽2)11yescharacteristic
1596C22C22×2−1+411yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22C2×#58511yescharacteristic
1599C22H(7,𝔽2)11yescharacteristic
1600C222−1+611yescharacteristic
1601C4—24no—
1602C4—22no—
1603C4—24no—
1604C4—22no—
1605C4—24no—
1606C4—22no—
1607C4—41no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—42no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—41no—
1616C4—41no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—44no—
1625C4—42no—
1626C4—44no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4#346114yes—
1632C4#351714yes—
1633C2—81no—
1634C2—82no—
1635C2—84no—
1636C2C2×#346111yescharacteristic
1637C2C2×#351711yescharacteristic
1638C2#6285711yescharacteristic
1639C2#6294211yescharacteristic
1640C2#6295211yescharacteristic
1641C2#6295511yescharacteristic
1642C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39137C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42873C2semidirect
2. #42868C2semidirect
3. #42638C2semidirect
4. #42624C2semidirect
5. #42145C2semidirect
6. #42141C2semidirect
7. #41894C2semidirect
8. #41862C2semidirect
9. #39753C2semidirect
10. #39746C2semidirect
11. #39286C2semidirect
12. #39281C2semidirect
13. #39139C2semidirect
15. #37773C2semidirect
16. #37766C2semidirect
17. #37628C2semidirect
18. #37627C2semidirect
19. #37625C2semidirect
20. #37579C2semidirect
21. #36481C2semidirect
22. #36460C2semidirect
23. #36134C2semidirect
24. #36115C2semidirect
25. #35968C2semidirect
26. #35963C2semidirect
27. #35895C2semidirect
28. #35890C2semidirect
29. #35299C2semidirect
30. #35277C2semidirect
31. #34631C2semidirect
32. #34629C2semidirect
33. #34337C2semidirect
34. #34331C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#428732
#428682
#426382
#426242
#421452
#421412
#418942
#418622
#397532
#397462
#392862
#392812
#391392
#391372
#377732
#377662
#376282
#376272
#376252
#375792
#364812
#364602
#361342
#361152
#359682
#359632
#358952
#358902
#352992
#352772
#346312
#346292
#343372
#343312
#341512