Finite Group Databasebeta

← #8197085

Subgroups — #8197085

Order 512.

5286 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60029C212yesmaximal, complemented
2#59654C212yesmaximal, complemented
3#59216C212yesmaximal, complemented
4#59128C212yesmaximal, complemented
5#57382C212yesmaximal, complemented
6#56624C214yesmaximal, complemented
7#53521C212yesmaximal, complemented
8#53006C211yesmaximal, characteristic, complemented
9#52957C211yesmaximal, characteristic, complemented
10#52904C212yesmaximal, complemented
11#49983C214yesmaximal, complemented
12#47726C212yesmaximal, complemented
13#47540C212yesmaximal, complemented
14#46339C212yesmaximal, complemented
15#45758C212yesmaximal, complemented
16#45321C211yesmaximal, characteristic, complemented
17#45244C211yesmaximal, characteristic, complemented
18#43882C212yesmaximal, complemented
19#42916C212yesmaximal, complemented
20#42796C212yesmaximal, complemented
21#41648C214yesmaximal, complemented
22#40129C212yesmaximal, complemented
23#39900C212yesmaximal, complemented
24#39654C212yesmaximal, complemented
25#39335C212yesmaximal, complemented
26#38822C214yesmaximal, complemented
27#36513C212yesmaximal, complemented
28#36434C212yesmaximal, complemented
29#35190C211yesmaximal, characteristic, complemented
30#34977C211yesmaximal, characteristic, complemented
31#34952C211yesmaximal, characteristic, complemented
32C2×D4×Q8C2212yes—
33C2×#548C2212yes—
34C2×#548C2212yes—
35C2×#548C2212yes—
36C2×#547C2212yes—
37C2×#537C2212yes—
38C2×#536C2212yes—
39C2×#532C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43#2863C2212yes—
44#2860C2212yes—
45#2850C2212yes—
46#2850C2214yes—
47#2850C2212yes—
48#2843C2212yes—
49#2837C2214yes—
50#2829C2214yes—
51#2828C2212yes—
52#2826C2212yes—
53#2824C2212yes—
54#2814C2214yes—
55#2813C2214yes—
56#2813C2214yes—
57#2806C2214yes—
58#2803C2214yes—
59#2795C2212yes—
60#2790C2214yes—
61#2788C2214yes—
62#2784C2212yes—
63#2781C2214yes—
64#2780C2214yes—
65#2768C2214yes—
66#2768C2214yes—
67#2756C2214yes—
68#2756C2214yes—
69#2756C2214yes—
70#2753C2214yes—
71#2749C2214yes—
72#2742C2212yes—
73#2741C2214yes—
74#2739C2214yes—
75#2733C2214yes—
76#2733C2214yes—
77#2731C2214yes—
78#2730C2214yes—
79#2729C2214yes—
80#2705C2214yes—
81#2701C2214yes—
82#2701C2214yes—
83#2701C2214yes—
84#2691C2214yes—
85#2683C2212yes—
86#2682C2214yes—
87#2682C2214yes—
88#2681C2214yes—
89#2681C2214yes—
90#2680C2212yes—
91#2677C2212yes—
92#2677C2214yes—
93#2676C2214yes—
94#2676C2214yes—
95#2675C2214yes—
96#2675C2212yes—
97#2675C2212yes—
98#2674C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2672C2214yes—
103#2671C2214yes—
104#2671C2214yes—
105#2666C2214yes—
106#2661C2214yes—
107#2661C2214yes—
108#2661C2214yes—
109#2651C2214yes—
110#2635C2212yes—
111#2635C2212yes—
112#2630C2214yes—
113#2618C2214yes—
114#2616C2212yes—
115#2615C2212yes—
116#2610C2211yescharacteristic
117#2610C2211yescharacteristic
118#2610C2211yescharacteristic
119#2610C2211yescharacteristic
120#2606C2214yes—
121#2602C2214yes—
122#2601C2214yes—
123#2598C2212yes—
124#2598C2212yes—
125#2587C2214yes—
126#2587C2214yes—
127#2583C2214yes—
128#2582C2212yes—
129#2581C2212yes—
130#2580C2212yes—
131#2579C2212yes—
132#2579C2212yes—
133#2574C2214yes—
134#2570C2212yes—
135#2568C2211yescharacteristic
136#2567C2211yescharacteristic
137#2563C2211yescharacteristic
138#2559C2214yes—
139#2555C2214yes—
140#2555C2212yes—
141#2555C2214yes—
142#2554C2214yes—
143#2551C2212yes—
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2545C2214yes—
147#2545C2212yes—
148#2542C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic
151#2540C2212yes—
152#2538C2212yes—
153#2538C2212yes—
154#2537C2212yes—
155#2536C2212yes—
156#2536C2212yes—
157#2536C2212yes—
158#2536C2214yes—
159#2529C2214yes—
160#2526C2214yes—
161#2525C2214yes—
162#2525C2214yes—
163#2518C2214yes—
164#2518C2214yes—
165#2515C2214yes—
166#2502C2212yes—
167#2500C2212yes—
168#2500C2212yes—
169#2500C2212yes—
170#2497C2212yes—
171#2495C2212yes—
172#2491C2214yes—
173#2491C2214yes—
174#2487C2211yescharacteristic
175#2487C2211yescharacteristic
176#2486C2212yes—
177#2485C2212yes—
178#2476C2214yes—
179#2476C2214yes—
180#2470C2214yes—
181#2464C2214yes—
182#2464C2214yes—
183#2463C2212yes—
184#2461C2214yes—
185#2461C2214yes—
186#2461C2214yes—
187#2461C2214yes—
188#2461C2214yes—
189#2456C2214yes—
190#2455C2212yes—
191#2449C2214yes—
192#2440C2214yes—
193#2434C2212yes—
194#2431C2212yes—
195#2431C2212yes—
196#2431C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2214yes—
200#2429C2212yes—
201#2428C2214yes—
202#2428C2214yes—
203#2428C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2214yes—
207#2423C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2421C2212yes—
211#2417C2212yes—
212#2417C2212yes—
213#2417C2214yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2214yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2409C2211yescharacteristic
222#2409C2212yes—
223#2409C2211yescharacteristic
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229#2396C2212yes—
230#2396C2212yes—
231#2388C2211yescharacteristic
232#2388C2211yescharacteristic
233#2388C2211yescharacteristic
234#2388C2211yescharacteristic
235#2377C2214yes—
236#2374C2214yes—
237#2374C2214yes—
238#2373C2214yes—
239#2367C2212yes—
240#2362C2212yes—
241#2361C2214yes—
242#2361C2214yes—
243#2360C2212yes—
244#2352C2212yes—
245#2351C2212yes—
246#2341C2212yes—
247Q8×C22⋊C4C2212yes—
248#2337C2214yes—
249#2337C2214yes—
250#2335C2214yes—
251#2328C2212yes—
252#2326C2212yes—
253C4×C4⋊Q8C2212yes—
254C4×#127C2212yes—
255C4×#124C2212yes—
256C4×#124C2212yes—
257C4×C22⋊Q8C2212yes—
258C4×C22⋊Q8C2212yes—
259C4×#121C2212yes—
260C4×#121C2214yes—
261C4×#121C2212yes—
262#2297C2212yes—
263#2296C2212yes—
264#2285C2211yescharacteristic
265#2283C2211yescharacteristic
266C4×#117C2211yescharacteristic
267C22×#41C2312yes—
268C22×#41C2311yescharacteristic
269C22×#41C2311yescharacteristic
270C22×#41C2311yescharacteristic
271C22×#41C2312yes—
272C23×Q8C2311yescharacteristic
273C23×Q8C2312yes—
274D4×Q8—48no—
275#548—48no—
276#548—48no—
277#548—48no—
278#547—48no—
279#537—48no—
280#536—48no—
281#532—44no—
282#532—44no—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2311yescharacteristic
286C2×C4⋊Q8C2314yes—
287C2×C4⋊Q8C2314yes—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#126C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C4×#41—44no—
348C2×C4×Q8—44no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#399C2312yes—
400#399C2312yes—
401#399C2312yes—
402#399C2312yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2311yescharacteristic
444#395C2311yescharacteristic
445#395C2311yescharacteristic
446#395C2311yescharacteristic
447#395C2314yes—
448#395C2312yes—
449#395C2312yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2311yescharacteristic
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2311yescharacteristic
471#394C2314yes—
472#394C2311yescharacteristic
473#394C2311yescharacteristic
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#393C2311yescharacteristic
489#393C2311yescharacteristic
490#393C2311yescharacteristic
491#393C2311yescharacteristic
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2312yes—
496#392C2312yes—
497#392C2311yescharacteristic
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2312yes—
502#392C2311yescharacteristic
503#392C2311yescharacteristic
504#392C2311yescharacteristic
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2312yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
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#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2314yes—
684#383C2314yes—
685#383C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#381C2314yes—
693#381C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2312yes—
698#380C2314yes—
699#380C2312yes—
700#380C2314yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2311yescharacteristic
740C4×C22⋊C4C2311yescharacteristic
741#376C2312yes—
742#376C2311yescharacteristic
743#376C2311yescharacteristic
744C43C2312yes—
745C2×#41—28no—
746C2×#41—24no—
747C2×#41—42no—
748C2×#41—42no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—44no—
752C2×#41—42no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C22×Q8—28no—
759C22×Q8—28no—
760C22×Q8—42no—
761C22×Q8—44no—
762C22×Q8—44no—
763C22×Q8C2412yes—
764C22×Q8C2412yes—
765C22×Q8C2412yes—
766C22×Q8C2414yes—
767C22×Q8C2411yescharacteristic
768C22×Q8C2411yescharacteristic
769C22×Q8C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2411yescharacteristic
774C22×D4C2411yescharacteristic
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2412yes—
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2411yescharacteristic
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2412yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2411yescharacteristic
806C23×C4C2414yes—
807C23×C4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2414yes—
810C23×C4C2414yes—
811C4⋊Q8—28no—
812C4⋊Q8—42no—
813C4⋊Q8—42no—
814C4⋊Q8—48no—
815C4⋊Q8—48no—
816#127—42no—
817#127—42no—
818#127—44no—
819#127—44no—
820#126—48no—
821#124—28no—
822#124—28no—
823#124—28no—
824#124—28no—
825#124—42no—
826#124—42no—
827#124—48no—
828#124—48no—
829#124—48no—
830#124—48no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—48no—
838C22⋊Q8—28no—
839C22⋊Q8—28no—
840C22⋊Q8—28no—
841C22⋊Q8—28no—
842C22⋊Q8—48no—
843C22⋊Q8—48no—
844C22⋊Q8—48no—
845C22⋊Q8—48no—
846C22⋊Q8—48no—
847C22⋊Q8—48no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853#121—48no—
854#121—44no—
855#121—44no—
856#121—44no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—44no—
861#121—48no—
862#121—44no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—44no—
870#121—44no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—44no—
875C4×Q8—28no—
876C4×Q8—44no—
877C4×Q8—42no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×D4—28no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—48no—
888C4×D4—44no—
889C4×D4—42no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901C4×D4—48no—
902C4×D4—48no—
903#117—42no—
904#117—42no—
905#117—42no—
906#117—44no—
907#117—44no—
908#117—44no—
909C2×C4⋊C4—42no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—48no—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C42—24no—
1028C2×C42—24no—
1029C2×C42—24no—
1030C2×C42—44no—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056#95C2412yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104C24C2512yes—
1105C24C2511yescharacteristic
1106C24C2511yescharacteristic
1107C24C2514yes—
1108C24C2512yes—
1109C24C2511yescharacteristic
1110#41—416no—
1111#41—88no—
1112#41—88no—
1113#41—816no—
1114#41—816no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—28no—
1119C2×Q8—24no—
1120C2×Q8—24no—
1121C2×Q8—28no—
1122C2×Q8—42no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—42no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×Q8—42no—
1131C2×Q8—416no—
1132C2×Q8—816no—
1133C2×Q8H(5,𝔽2)18yes—
1134C2×Q82−1+414yes—
1135C2×D4—24no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—24no—
1139C2×D4—28no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—28no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—42no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—44no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2514yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2514yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—42no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—28no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—44no—
1402C42—44no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42—44no—
1408C42—42no—
1409C42—42no—
1410C42H(5,𝔽2)14yes—
1411C23—22no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—24no—
1419C23—22no—
1420C23—24no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—24no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—24no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23#58512yes—
1447C23C2611yescharacteristic
1448Q8—216no—
1449Q8—44no—
1450Q8—48no—
1451Q8—48no—
1452Q8—88no—
1453Q8—82no—
1454Q8—82no—
1455D4—48no—
1456D4—44no—
1457D4—44no—
1458D4—44no—
1459D4—48no—
1460D4—84no—
1461D4—84no—
1462D4—84no—
1463D4—84no—
1464D4—88no—
1465D4—88no—
1466D4—84no—
1467D4—88no—
1468D4—84no—
1469D4—88no—
1470D4—84no—
1471D4—84no—
1472D4—82no—
1473D4—82no—
1474D4—84no—
1475D4—88no—
1476D4—164no—
1477D4—164no—
1478C2×C4—28no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—48no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—48no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—82no—
1547C2×C4—82no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—164no—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×H(5,𝔽2)18yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×H(5,𝔽2)14yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4#58514yes—
1563C22—24no—
1564C22—22no—
1565C22—41no—
1566C22—41no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—41no—
1571C22—41no—
1572C22—44no—
1573C22—41no—
1574C22—41no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—44no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—44no—
1594C22—41no—
1595C22—41no—
1596C22—44no—
1597C22—42no—
1598C22—42no—
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×H(5,𝔽2)12yes—
1601C22C22×2−1+411yescharacteristic
1602C22C2×#58512yes—
1603C22C2×#58511yescharacteristic
1604C4—28no—
1605C4—22no—
1606C4—24no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—22no—
1611C4—41no—
1612C4—42no—
1613C4—41no—
1614C4—42no—
1615C4—41no—
1616C4—44no—
1617C4—41no—
1618C4—41no—
1619C4—44no—
1620C4—41no—
1621C4—44no—
1622C4—44no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—44no—
1628C4#353714yes—
1629C2—42no—
1630C2—82no—
1631C2—81no—
1632C2—81no—
1633C2—82no—
1634C2—84no—
1635C2C2×#353711yescharacteristic
1636C2#6275911yescharacteristic
1637C2#6281911yescharacteristic
1638C2#6302012yes—
1639C2#6303912yes—
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. #60029C2semidirect
2. #59654C2semidirect
3. #59216C2semidirect
4. #59128C2semidirect
5. #57382C2semidirect
6. #56624C2semidirect
7. #53521C2semidirect
8. #53006C2semidirect
9. #52957C2semidirect
10. #52904C2semidirect
11. #49983C2semidirect
12. #47726C2semidirect
13. #47540C2semidirect
14. #46339C2semidirect
15. #45758C2semidirect
16. #45321C2semidirect
17. #45244C2semidirect
18. #43882C2semidirect
19. #42916C2semidirect
20. #42796C2semidirect
21. #41648C2semidirect
22. #40129C2semidirect
23. #39900C2semidirect
24. #39654C2semidirect
25. #39335C2semidirect
26. #38822C2semidirect
27. #36513C2semidirect
28. #36434C2semidirect
29. #35190C2semidirect
30. #34977C2semidirect
31. #34952C2semidirect

Maximal subgroups

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

subgroupindex
#600292
#596542
#592162
#591282
#573822
#566242
#535212
#530062
#529572
#529042
#499832
#477262
#475402
#463392
#457582
#453212
#452442
#438822
#429162
#427962
#416482
#401292
#399002
#396542
#393352
#388222
#365132
#364342
#351902
#349772
#349522