Finite Group Databasebeta

← #8402473

Subgroups — #8402473

Order 512.

5355 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59066C212yesmaximal, complemented
2#59051C212yesmaximal, complemented
3#55443C214yesmaximal, complemented
4#55389C214yesmaximal, complemented
5#50794C214yesmaximal, complemented
6#50715C214yesmaximal, complemented
7#48294C214yesmaximal, complemented
8#48185C214yesmaximal, complemented
9#45616C212yesmaximal, complemented
10#45593C212yesmaximal, complemented
11#45387C211yesmaximal, characteristic, complemented
12#45387C211yesmaximal, characteristic, complemented
13#45344C211yesmaximal, characteristic, complemented
14#45041C211yesmaximal, characteristic, complemented
15#43451C214yesmaximal, complemented
16#43155C214yesmaximal, complemented
17#42876C211yesmaximal, characteristic, complemented
18#42648C211yesmaximal, characteristic, complemented
19#40218C212yesmaximal, complemented
20#40145C212yesmaximal, complemented
21#39889C212yesmaximal, complemented
22#39865C212yesmaximal, complemented
23#37432C211yesmaximal, characteristic, complemented
24#36539C211yesmaximal, characteristic, complemented
25#36536C211yesmaximal, characteristic, complemented
26#36125C211yesmaximal, characteristic, complemented
27#36125C211yesmaximal, characteristic, complemented
28#36029C211yesmaximal, characteristic, complemented
29#36020C211yesmaximal, characteristic, complemented
30#35623C211yesmaximal, characteristic, complemented
31#34967C211yesmaximal, characteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#550C2212yes—
35C2×#550C2212yes—
36C2×#547C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#547C2212yes—
39C2×#547C2212yes—
40C2×#542C2211yescharacteristic
41C2×#532C2212yes—
42C2×#532C2212yes—
43C2×#520C2211yescharacteristic
44#2864C2211yescharacteristic
45#2858C2211yescharacteristic
46#2855C2212yes—
47#2854C2212yes—
48#2850C2212yes—
49#2850C2212yes—
50#2826C2214yes—
51#2825C2214yes—
52#2818C2212yes—
53#2816C2212yes—
54#2808C2214yes—
55#2797C2214yes—
56#2795C2214yes—
57#2790C2214yes—
58#2786C2214yes—
59#2778C2214yes—
60#2778C2214yes—
61#2776C2214yes—
62#2770C2214yes—
63#2766C2214yes—
64#2760C2214yes—
65#2757C2214yes—
66#2756C2214yes—
67#2752C2214yes—
68#2752C2214yes—
69#2751C2214yes—
70#2750C2214yes—
71#2746C2214yes—
72#2746C2214yes—
73#2740C2214yes—
74#2718C2214yes—
75#2710C2214yes—
76#2710C2214yes—
77#2703C2214yes—
78#2703C2214yes—
79#2703C2214yes—
80#2701C2214yes—
81#2701C2214yes—
82#2699C2214yes—
83#2699C2214yes—
84#2693C2214yes—
85#2688C2214yes—
86#2688C2214yes—
87#2682C2214yes—
88#2676C2214yes—
89#2673C2214yes—
90#2673C2214yes—
91#2673C2214yes—
92#2673C2214yes—
93#2673C2214yes—
94#2673C2214yes—
95#2673C2214yes—
96#2673C2214yes—
97#2673C2214yes—
98#2673C2214yes—
99#2671C2214yes—
100#2671C2214yes—
101#2671C2214yes—
102#2661C2212yes—
103#2657C2212yes—
104#2648C2214yes—
105#2635C2214yes—
106#2631C2214yes—
107#2631C2212yes—
108#2630C2214yes—
109#2623C2212yes—
110#2621C2211yescharacteristic
111#2619C2211yescharacteristic
112#2619C2212yes—
113#2618C2212yes—
114#2606C2214yes—
115#2603C2212yes—
116#2602C2214yes—
117#2602C2214yes—
118#2600C2214yes—
119#2600C2214yes—
120#2594C2214yes—
121#2593C2214yes—
122#2589C2214yes—
123#2585C2214yes—
124#2579C2214yes—
125#2578C2214yes—
126#2577C2214yes—
127#2576C2214yes—
128#2568C2211yescharacteristic
129#2563C2211yescharacteristic
130#2546C2211yescharacteristic
131#2546C2211yescharacteristic
132#2546C2212yes—
133#2545C2211yescharacteristic
134#2544C2211yescharacteristic
135#2543C2212yes—
136#2543C2214yes—
137#2543C2214yes—
138#2542C2212yes—
139#2541C2212yes—
140#2541C2214yes—
141#2541C2211yescharacteristic
142#2541C2211yescharacteristic
143#2541C2212yes—
144#2541C2212yes—
145#2536C2212yes—
146#2536C2211yescharacteristic
147#2536C2211yescharacteristic
148#2535C2212yes—
149#2535C2211yescharacteristic
150#2535C2211yescharacteristic
151#2535C2212yes—
152#2522C2212yes—
153#2522C2212yes—
154#2516C2212yes—
155#2516C2212yes—
156#2514C2212yes—
157#2513C2212yes—
158#2510C2214yes—
159#2504C2211yescharacteristic
160#2503C2211yescharacteristic
161#2502C2212yes—
162#2495C2212yes—
163#2494C2212yes—
164#2492C2212yes—
165#2491C2212yes—
166#2486C2212yes—
167#2481C2214yes—
168#2477C2214yes—
169#2464C2212yes—
170#2464C2214yes—
171#2464C2214yes—
172#2464C2214yes—
173#2464C2214yes—
174#2464C2212yes—
175#2464C2214yes—
176#2459C2214yes—
177#2459C2214yes—
178#2457C2214yes—
179#2457C2212yes—
180#2457C2212yes—
181#2456C2214yes—
182#2456C2214yes—
183#2448C2212yes—
184#2447C2212yes—
185#2446C2212yes—
186#2445C2212yes—
187#2445C2214yes—
188#2443C2214yes—
189#2443C2214yes—
190#2443C2214yes—
191#2443C2214yes—
192#2443C2214yes—
193#2443C2214yes—
194#2432C2212yes—
195#2432C2212yes—
196#2432C2211yescharacteristic
197#2432C2212yes—
198#2431C2212yes—
199#2431C2212yes—
200#2431C2211yescharacteristic
201#2431C2212yes—
202#2429C2212yes—
203#2428C2214yes—
204#2428C2214yes—
205#2428C2214yes—
206#2428C2214yes—
207#2428C2214yes—
208#2428C2212yes—
209#2427C2212yes—
210#2427C2212yes—
211#2426C2212yes—
212#2426C2212yes—
213#2425C2214yes—
214#2422C2214yes—
215#2417C2212yes—
216#2416C2212yes—
217#2416C2214yes—
218#2416C2214yes—
219#2413C2214yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2402C2211yescharacteristic
227#2397C2211yescharacteristic
228#2392C2211yescharacteristic
229#2392C2211yescharacteristic
230#2392C2212yes—
231C2×#398C2212yes—
232#2380C2214yes—
233#2377C2214yes—
234#2374C2214yes—
235#2366C2212yes—
236#2365C2212yes—
237#2361C2214yes—
238#2361C2214yes—
239#2361C2214yes—
240#2357C2211yescharacteristic
241#2356C2211yescharacteristic
242#2353C2214yes—
243#2351C2211yescharacteristic
244#2349C2211yescharacteristic
245D4×C4⋊C4C2214yes—
246#2341C2212yes—
247#2339C2212yes—
248#2337C2214yes—
249#2328C2211yescharacteristic
250#2328C2211yescharacteristic
251#2327C2211yescharacteristic
252#2327C2211yescharacteristic
253#2325C2214yes—
254#2325C2214yes—
255#2322C2214yes—
256C4×#124C2211yescharacteristic
257C4×#124C2211yescharacteristic
258C4×C22⋊Q8C2212yes—
259C4×#123C2212yes—
260C4×#123C2212yes—
261C4×#121C2212yes—
262C4×#121C2212yes—
263C4×#121C2212yes—
264#2298C2211yescharacteristic
265C42×D4C2211yescharacteristic
266C42×D4C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2312yes—
272#550—44no—
273#550—44no—
274#550—48no—
275#550—48no—
276#547—44no—
277#547—44no—
278#547—48no—
279#547—48no—
280#542—44no—
281#532—48no—
282#532—48no—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×C4⋊Q8C2312yes—
286C2×C4⋊Q8C2311yescharacteristic
287C2×C4⋊Q8C2312yes—
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2312yes—
292C2×#127C2312yes—
293C2×#127C2314yes—
294C2×#127C2314yes—
295C2×#127C2314yes—
296C2×#127C2312yes—
297C2×#126C2312yes—
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#124C2314yes—
301C2×#124C2312yes—
302C2×#124C2312yes—
303C2×#124C2312yes—
304C2×#124C2311yescharacteristic
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2312yes—
310C2×#123C2314yes—
311C2×#123C2312yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2311yescharacteristic
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351#520—44no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2314yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C22×C4⋊C4C2314yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2312yes—
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2311yescharacteristic
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2311yescharacteristic
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2311yescharacteristic
437#397C2314yes—
438#397C2311yescharacteristic
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2312yes—
450#394C2311yescharacteristic
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2311yescharacteristic
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#392C2314yes—
486#392C2312yes—
487#392C2314yes—
488#392C2312yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2312yes—
494#392C2314yes—
495#392C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2312yes—
499#392C2312yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2311yescharacteristic
506#392C2311yescharacteristic
507#392C2312yes—
508#392C2314yes—
509#392C2312yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#391C2311yescharacteristic
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#386C2312yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#384C2314yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#381C2312yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#381C2312yes—
700#380C2314yes—
701#380C2314yes—
702#380C2312yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2311yescharacteristic
740C4×C22⋊C4C2312yes—
741#376C2311yescharacteristic
742#376C2312yes—
743C2×#95C2314yes—
744C2×#95C2312yes—
745C43C2311yescharacteristic
746C2×#41—24no—
747C2×#41—28no—
748C2×#41—24no—
749C2×#41—28no—
750C2×#41—42no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—44no—
760C2×#41—44no—
761C22×Q8C2411yescharacteristic
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×Q8C2412yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2411yescharacteristic
770C22×D4C2411yescharacteristic
771C22×D4C2411yescharacteristic
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C23×C4C2411yescharacteristic
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2414yes—
804C23×C4C2414yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C4⋊Q8—28no—
811C4⋊Q8—24no—
812C4⋊Q8—24no—
813C4⋊Q8—42no—
814C4⋊Q8—44no—
815#127—28no—
816#127—24no—
817#127—24no—
818#127—48no—
819#127—44no—
820#127—44no—
821#127—44no—
822#127—48no—
823#127—48no—
824#126—44no—
825#124—24no—
826#124—24no—
827#124—48no—
828#124—44no—
829#124—44no—
830#124—44no—
831#124—42no—
832#123—44no—
833#123—44no—
834#123—48no—
835#123—48no—
836#123—48no—
837#123—48no—
838#123—44no—
839#123—48no—
840#123—48no—
841#123—48no—
842#123—48no—
843C22⋊Q8—28no—
844C22⋊Q8—44no—
845C22⋊Q8—42no—
846C22⋊Q8—44no—
847C22⋊Q8—44no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850#121—28no—
851#121—44no—
852#121—44no—
853#121—48no—
854#121—48no—
855#121—48no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—42no—
870#121—44no—
871#121—44no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—48no—
877#121—48no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—44no—
888C4×D4—42no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—48no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—48no—
901C4×D4—44no—
902C4×D4—48no—
903C4×D4—48no—
904C4×D4—48no—
905C4×D4—48no—
906C4×D4—48no—
907C4×D4—48no—
908#117—24no—
909#117—44no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—48no—
915C2×C4⋊C4—48no—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2411yescharacteristic
964C2×C22⋊C4C2411yescharacteristic
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C42—44no—
1028C2×C42—44no—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104C24C2511yescharacteristic
1105C24C2512yes—
1106C24C2512yes—
1107C24C2512yes—
1108C24C2514yes—
1109C24C2512yes—
1110#41—416no—
1111#41—816no—
1112#41—816no—
1113#41—816no—
1114#41—816no—
1115C2×Q8—22no—
1116C2×Q8—22no—
1117C2×Q8—22no—
1118C2×Q8—24no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—24no—
1122C2×Q8—22no—
1123C2×Q8—42no—
1124C2×Q8—44no—
1125C2×Q8H(5,𝔽2)14yes—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—22no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—24no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4H(5,𝔽2)14yes—
1202C22×C4—24no—
1203C22×C4—28no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
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—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—24no—
1392C42—22no—
1393C42—24no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—28no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—44no—
1404C42—42no—
1405C42—42no—
1406C42—44no—
1407C42—44no—
1408C42H(5,𝔽2)14yes—
1409C23—22no—
1410C23—22no—
1411C23—24no—
1412C23—24no—
1413C23—21no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—21no—
1420C23—22no—
1421C23—24no—
1422C23—24no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—24no—
1427C23—22no—
1428C23—22no—
1429C23—24no—
1430C23—22no—
1431C23—24no—
1432C23—22no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—22no—
1437C23—24no—
1438C23—22no—
1439C23—24no—
1440C23—22no—
1441C23—24no—
1442C23—22no—
1443C23—22no—
1444C23C2×H(5,𝔽2)14yes—
1445C23C2611yescharacteristic
1446Q8—28no—
1447Q8—44no—
1448Q8—48no—
1449Q8—162no—
1450D4—28no—
1451D4—416no—
1452D4—48no—
1453D4—44no—
1454D4—44no—
1455D4—44no—
1456D4—48no—
1457D4—84no—
1458D4—88no—
1459D4—84no—
1460D4—84no—
1461D4—84no—
1462D4—88no—
1463D4—88no—
1464D4—88no—
1465D4—88no—
1466D4—88no—
1467D4—84no—
1468D4—84no—
1469D4—88no—
1470D4—88no—
1471D4—88no—
1472D4—164no—
1473D4—164no—
1474D4—164no—
1475D4—162no—
1476D4—164no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—84no—
1541C2×C4—88no—
1542C2×C4—84no—
1543C2×C4—84no—
1544C2×C4—84no—
1545C2×C4—88no—
1546C2×C4—88no—
1547C2×C4—84no—
1548C2×C4—88no—
1549C2×C4—84no—
1550C2×C4—88no—
1551C2×C4—88no—
1552C2×C4—162no—
1553C2×C4—162no—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×H(5,𝔽2)14yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C2×C4C2×H(5,𝔽2)12yes—
1560C2×C4#58514yes—
1561C2×C4#58514yes—
1562C22—24no—
1563C22—28no—
1564C22—44no—
1565C22—42no—
1566C22—42no—
1567C22—41no—
1568C22—42no—
1569C22—42no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—44no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—44no—
1579C22—44no—
1580C22—42no—
1581C22—44no—
1582C22—42no—
1583C22—42no—
1584C22—44no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—42no—
1592C22—44no—
1593C22—44no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22C22×H(5,𝔽2)11yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×H(5,𝔽2)11yescharacteristic
1601C22C2×#58512yes—
1602C22C2×#58512yes—
1603C4—24no—
1604C4—24no—
1605C4—24no—
1606C4—22no—
1607C4—22no—
1608C4—41no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—44no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—44no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4#353714yes—
1628C2—44no—
1629C2—81no—
1630C2—82no—
1631C2—82no—
1632C2—84no—
1633C2—82no—
1634C2C2×#353711yescharacteristic
1635C2#6283611yescharacteristic
1636C2#6283611yescharacteristic
1637C2#6301812yes—
1638C2#6301912yes—
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. #59066C2semidirect
2. #59051C2semidirect
3. #55443C2semidirect
4. #55389C2semidirect
5. #50794C2semidirect
6. #50715C2semidirect
7. #48294C2semidirect
8. #48185C2semidirect
9. #45616C2semidirect
10. #45593C2semidirect
11. #45387C2semidirect
12. #45387C2semidirect
13. #45344C2semidirect
14. #45041C2semidirect
15. #43451C2semidirect
16. #43155C2semidirect
17. #42876C2semidirect
18. #42648C2semidirect
19. #40218C2semidirect
20. #40145C2semidirect
21. #39889C2semidirect
22. #39865C2semidirect
23. #37432C2semidirect
24. #36539C2semidirect
25. #36536C2semidirect
26. #36125C2semidirect
27. #36125C2semidirect
28. #36029C2semidirect
29. #36020C2semidirect
30. #35623C2semidirect
31. #34967C2semidirect

Maximal subgroups

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

subgroupindex
#590662
#590512
#554432
#553892
#507942
#507152
#482942
#481852
#456162
#455932
#453872
#453442
#450412
#434512
#431552
#428762
#426482
#402182
#401452
#398892
#398652
#374322
#365392
#365362
#361252
#360292
#360202
#356232
#349672