Finite Group Databasebeta

← #8402551

Subgroups — #8402551

Order 512.

5295 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59307C212yesmaximal, complemented
2#59303C212yesmaximal, complemented
3#55291C214yesmaximal, complemented
4#54851C214yesmaximal, complemented
5#51901C214yesmaximal, complemented
6#49254C214yesmaximal, complemented
7#48516C214yesmaximal, complemented
8#47957C214yesmaximal, complemented
9#45655C212yesmaximal, complemented
10#45483C212yesmaximal, complemented
11#45211C211yesmaximal, characteristic, complemented
12#45056C211yesmaximal, characteristic, complemented
13#44933C211yesmaximal, characteristic, complemented
14#44933C211yesmaximal, characteristic, complemented
15#44098C214yesmaximal, complemented
16#43897C214yesmaximal, complemented
17#42646C211yesmaximal, characteristic, complemented
18#42424C211yesmaximal, characteristic, complemented
19#40126C212yesmaximal, complemented
20#39938C212yesmaximal, complemented
21#39732C212yesmaximal, complemented
22#39402C212yesmaximal, complemented
23#37320C211yesmaximal, characteristic, complemented
24#36498C211yesmaximal, characteristic, complemented
25#36498C211yesmaximal, characteristic, complemented
26#36187C211yesmaximal, characteristic, complemented
27#36179C211yesmaximal, characteristic, complemented
28#36022C211yesmaximal, characteristic, complemented
29#35730C211yesmaximal, characteristic, complemented
30#35537C211yesmaximal, characteristic, complemented
31#34967C211yesmaximal, characteristic, complemented
32C2×#560C2214yes—
33C2×#555C2211yescharacteristic
34C2×#555C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic
36C2×#547C2214yescomplemented
37C2×#547C2211yescharacteristic, complemented
38C2×#540C2211yescharacteristic
39C2×#540C2214yescomplemented
40C2×#518C2211yescharacteristic
41#2868C2211yescharacteristic, complemented
42#2864C2211yescharacteristic, complemented
43#2856C2212yes—
44#2856C2212yes—
45#2854C2212yes—
46#2854C2212yes—
47#2828C2214yes—
48#2814C2212yescomplemented
49#2813C2214yes—
50#2813C2212yescomplemented
51#2803C2214yes—
52#2803C2214yescomplemented
53#2795C2214yes—
54#2795C2214yescomplemented
55#2795C2214yescomplemented
56#2794C2214yescomplemented
57#2793C2214yescomplemented
58#2790C2214yescomplemented
59#2743C2214yescomplemented
60#2743C2214yescomplemented
61#2741C2214yescomplemented
62#2741C2214yescomplemented
63#2730C2214yescomplemented
64#2730C2214yescomplemented
65#2721C2214yes—
66#2718C2214yescomplemented
67#2716C2214yes—
68#2713C2214yescomplemented
69#2711C2214yescomplemented
70#2706C2214yescomplemented
71#2705C2214yes—
72#2703C2214yes—
73#2703C2214yes—
74#2703C2214yes—
75#2703C2214yescomplemented
76#2702C2214yescomplemented
77#2699C2214yescomplemented
78#2699C2214yescomplemented
79#2694C2214yescomplemented
80#2693C2214yescomplemented
81#2693C2214yescomplemented
82#2687C2214yescomplemented
83#2685C2214yes—
84#2678C2214yes—
85#2678C2214yes—
86#2678C2214yes—
87#2676C2214yes—
88#2673C2214yes—
89#2673C2214yes—
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2672C2214yescomplemented
95#2671C2214yes—
96#2671C2214yescomplemented
97#2669C2214yes—
98#2668C2214yes—
99#2661C2214yescomplemented
100#2656C2212yes—
101#2654C2214yescomplemented
102#2639C2212yes—
103#2638C2212yes—
104#2635C2212yes—
105#2635C2214yescomplemented
106#2628C2211yescharacteristic
107#2628C2211yescharacteristic
108#2624C2212yes—
109#2618C2214yescomplemented
110#2615C2212yes—
111#2597C2214yescomplemented
112#2597C2214yescomplemented
113#2596C2214yescomplemented
114#2591C2214yes—
115#2591C2214yescomplemented
116#2575C2214yescomplemented
117#2571C2212yescomplemented
118#2570C2212yescomplemented
119#2566C2211yescharacteristic
120#2566C2211yescharacteristic
121#2563C2211yescharacteristic
122#2563C2211yescharacteristic, complemented
123#2561C2212yes—
124#2558C2214yescomplemented
125#2554C2214yes—
126#2553C2214yescomplemented
127#2542C2211yescharacteristic
128#2542C2214yescomplemented
129#2542C2211yescharacteristic, complemented
130#2541C2212yes—
131#2541C2212yes—
132#2541C2211yescharacteristic
133#2541C2211yescharacteristic
134#2539C2212yes—
135#2537C2212yes—
136#2537C2214yescomplemented
137#2535C2212yes—
138#2535C2211yescharacteristic
139#2535C2211yescharacteristic
140#2535C2211yescharacteristic, complemented
141#2535C2211yescharacteristic, complemented
142#2522C2212yescomplemented
143#2522C2212yescomplemented
144#2516C2212yes—
145#2516C2214yes—
146#2516C2212yes—
147#2513C2212yes—
148#2512C2212yes—
149#2507C2212yescomplemented
150#2506C2212yescomplemented
151#2501C2212yes—
152#2501C2214yescomplemented
153#2501C2214yescomplemented
154#2501C2212yescomplemented
155#2500C2212yes—
156#2500C2214yes—
157#2500C2211yescharacteristic
158#2500C2211yescharacteristic
159#2500C2212yescomplemented
160#2498C2214yescomplemented
161#2498C2212yescomplemented
162#2497C2212yes—
163#2497C2212yescomplemented
164#2497C2212yescomplemented
165#2497C2214yescomplemented
166#2496C2212yes—
167#2491C2214yescomplemented
168#2491C2214yescomplemented
169#2488C2214yescomplemented
170#2482C2212yes—
171#2481C2214yescomplemented
172#2477C2214yescomplemented
173#2472C2214yes—
174#2471C2214yescomplemented
175#2471C2214yescomplemented
176#2471C2214yescomplemented
177#2467C2214yes—
178#2464C2212yes—
179#2464C2212yes—
180#2464C2214yescomplemented
181#2464C2214yescomplemented
182#2461C2214yes—
183#2457C2214yes—
184#2457C2212yescomplemented
185#2457C2214yescomplemented
186#2457C2214yescomplemented
187#2457C2214yescomplemented
188#2457C2212yescomplemented
189#2456C2214yes—
190#2456C2214yes—
191#2456C2214yescomplemented
192#2456C2214yescomplemented
193#2445C2212yes—
194#2445C2212yes—
195#2443C2214yescomplemented
196#2442C2212yescomplemented
197#2441C2212yescomplemented
198#2433C2211yescharacteristic
199#2433C2211yescharacteristic
200#2431C2214yescomplemented
201#2431C2214yescomplemented
202#2430C2212yescomplemented
203#2428C2212yes—
204#2428C2212yes—
205#2428C2214yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2424C2214yes—
209#2424C2214yes—
210#2422C2212yes—
211#2420C2212yes—
212#2418C2214yes—
213#2416C2212yes—
214#2416C2214yes—
215#2416C2212yes—
216#2416C2212yescomplemented
217#2414C2212yes—
218#2414C2212yes—
219#2414C2212yescomplemented
220#2408C2212yes—
221#2408C2212yes—
222#2404C2212yes—
223#2402C2211yescharacteristic, complemented
224#2397C2211yescharacteristic, complemented
225#2395C2212yes—
226#2392C2211yescharacteristic
227#2392C2211yescharacteristic
228#2388C2212yes—
229#2375C2214yes—
230#2374C2214yescomplemented
231#2364C2214yescomplemented
232#2364C2214yescomplemented
233#2363C2212yes—
234#2361C2212yes—
235#2357C2211yescharacteristic
236#2357C2211yescharacteristic
237#2357C2212yescomplemented
238#2354C2212yes—
239#2354C2212yescomplemented
240#2354C2214yescomplemented
241#2352C2212yes—
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244#2352C2214yescomplemented
245#2349C2211yescharacteristic, complemented
246#2349C2211yescharacteristic, complemented
247#2335C2214yescomplemented
248#2333C2214yescomplemented
249#2331C2211yescharacteristic, complemented
250#2331C2211yescharacteristic, complemented
251#2328C2211yescharacteristic
252#2328C2211yescharacteristic
253#2322C2214yescomplemented
254C4×#127C2211yescharacteristic
255C4×#127C2211yescharacteristic
256C4×#123C2212yescomplemented
257C4×#123C2212yescomplemented
258C4×#121C2212yes—
259C4×#121C2212yes—
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262#2298C2211yescharacteristic
263#2285C2212yescomplemented
264C2×#384C2212yescomplemented
265C42×D4C2211yescharacteristic, complemented
266C42×D4C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2312yes—
269C23×D4C2311yescharacteristic
270#560—416no—
271#555—44no—
272#555—44no—
273#547—44no—
274#547—44no—
275#547—416no—
276#540—44no—
277#540—416no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2314yes—
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#127C2314yes—
286C2×#127C2314yes—
287C2×#127C2311yescharacteristic
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125C2311yescharacteristic
291C2×#125C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2312yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2314yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347#518—44no—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2312yes—
404#399C2312yes—
405#399C2314yes—
406#399C2312yes—
407#399C2312yes—
408#399C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2311yescharacteristic
415#398C2311yescharacteristic
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#397C2311yescharacteristic
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2311yescharacteristic
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2312yes—
447#395C2312yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2311yescharacteristic
462#394C2314yes—
463#394C2314yes—
464#394C2311yescharacteristic
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#393C2312yes—
479#393C2312yes—
480#393C2312yes—
481#393C2312yes—
482#393C2312yes—
483#393C2312yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2311yescharacteristic
489#392C2314yes—
490#392C2314yes—
491#392C2312yes—
492#392C2312yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2311yescharacteristic
498#392C2312yes—
499#392C2312yes—
500#392C2314yes—
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#391C2314yes—
511#391C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2314yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
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#386C2312yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#384C2314yes—
671#384C2314yes—
672#384C2314yes—
673#382C2312yes—
674#382C2312yes—
675#382C2311yescharacteristic
676#382C2311yescharacteristic
677#382C2314yes—
678#382C2311yescharacteristic
679#382C2311yescharacteristic
680#381C2314yes—
681#381C2312yes—
682#381C2312yes—
683#381C2312yes—
684#381C2314yes—
685#381C2312yes—
686#380C2314yes—
687#380C2314yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2312yes—
703#379C2314yes—
704#379C2314yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739#376C2311yescharacteristic
740C2×#95C2312yes—
741C2×#95C2312yes—
742C43C2311yescharacteristic
743C25C2412yes—
744C2×#41—48no—
745C2×#41—48no—
746C2×#41—44no—
747C2×#41—44no—
748C22×Q8C2412yes—
749C22×Q8C2412yes—
750C22×D4—42no—
751C22×D4—42no—
752C22×D4—42no—
753C22×D4C2411yescharacteristic
754C22×D4C2411yescharacteristic
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2412yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C4⋊Q8—24no—
798C4⋊Q8—24no—
799C4⋊Q8—48no—
800#127—42no—
801#127—42no—
802#127—42no—
803#127—42no—
804#127—42no—
805#127—48no—
806#127—48no—
807#126—48no—
808#126—48no—
809#125—42no—
810#125—48no—
811#124—48no—
812#124—48no—
813#123—28no—
814#123—216no—
815#123—216no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—44no—
824#123—44no—
825#123—44no—
826#123—48no—
827#123—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832#121—216no—
833#121—28no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—48no—
848#121—42no—
849#121—42no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—44no—
855#121—44no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#120—48no—
863#120—48no—
864#120—48no—
865#120—48no—
866C4×D4—28no—
867C4×D4—24no—
868C4×D4—24no—
869C4×D4—24no—
870C4×D4—24no—
871C4×D4—24no—
872C4×D4—24no—
873C4×D4—48no—
874C4×D4—44no—
875C4×D4—48no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—48no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—48no—
888C4×D4—48no—
889#117—24no—
890#117—42no—
891#117—48no—
892#117—44no—
893#117—44no—
894#117—44no—
895#117—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—48no—
899C2×C4⋊C4—48no—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C42—44no—
1020C2×C42—44no—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042#95C2411yescharacteristic
1043#95C2411yescharacteristic
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092C24—42no—
1093C24—42no—
1094C24—42no—
1095C24—44no—
1096C24—44no—
1097C24C2511yescharacteristic
1098C24C2512yes—
1099C24C2512yes—
1100C24C2512yes—
1101C24C2512yes—
1102C24C2512yes—
1103C24C2512yes—
1104#41—816no—
1105#41—816no—
1106C2×Q8—24no—
1107C2×Q8—24no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×D4—24no—
1111C2×D4—28no—
1112C2×D4—24no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—24no—
1125C2×D4—28no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—28no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
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—42no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—44no—
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—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—416no—
1186C22×C4—24no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2514yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2514yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C22⋊C4—24no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
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—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4H(5,𝔽2)18yes—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42H(5,𝔽2)14yes—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—21no—
1400C23—24no—
1401C23—24no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—24no—
1411C23—22no—
1412C23—22no—
1413C23—24no—
1414C23—24no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—21no—
1419C23—21no—
1420C23—22no—
1421C23—22no—
1422C23—24no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—22no—
1430C23—22no—
1431C23—48no—
1432C23—164no—
1433C23—164no—
1434C23—162no—
1435C23—162no—
1436C23C2×H(5,𝔽2)14yes—
1437C23C2611yescharacteristic
1438Q8—84no—
1439Q8—84no—
1440D4—28no—
1441D4—44no—
1442D4—48no—
1443D4—44no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—88no—
1448D4—84no—
1449D4—88no—
1450D4—88no—
1451D4—84no—
1452D4—84no—
1453D4—88no—
1454D4—84no—
1455D4—88no—
1456D4—88no—
1457D4—88no—
1458D4—164no—
1459D4—164no—
1460D4—164no—
1461D4—162no—
1462D4—164no—
1463D4—164no—
1464D4—162no—
1465D4—162no—
1466D4—162no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—48no—
1524C2×C4—48no—
1525C2×C4—48no—
1526C2×C4—48no—
1527C2×C4—44no—
1528C2×C4—88no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4—84no—
1534C2×C4—84no—
1535C2×C4—88no—
1536C2×C4—88no—
1537C2×C4—164no—
1538C2×C4—162no—
1539C2×C4—162no—
1540C2×C4C2×H(5,𝔽2)14yes—
1541C2×C4C2×H(5,𝔽2)12yes—
1542C2×C4C2×H(5,𝔽2)12yes—
1543C2×C4C2×H(5,𝔽2)14yes—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4#58514yes—
1546C2×C4#58512yes—
1547C2×C4#58512yes—
1548C22—24no—
1549C22—24no—
1550C22—24no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—44no—
1562C22—42no—
1563C22—44no—
1564C22—42no—
1565C22—44no—
1566C22—44no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—44no—
1571C22—44no—
1572C22—44no—
1573C22—42no—
1574C22—44no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—41no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—41no—
1587C22—168no—
1588C22C22×H(5,𝔽2)11yescharacteristic
1589C22C22×H(5,𝔽2)12yes—
1590C22C2×#58511yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58512yes—
1593C4—24no—
1594C4—24no—
1595C4—24no—
1596C4—22no—
1597C4—22no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—44no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—44no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—44no—
1612C4—41no—
1613C4—42no—
1614C4—42no—
1615C4—41no—
1616C4#353914yes—
1617C2—44no—
1618C2—82no—
1619C2—82no—
1620C2—82no—
1621C2—82no—
1622C2—82no—
1623C2—81no—
1624C2C2×#353911yescharacteristic
1625C2#6283211yescharacteristic
1626C2#6283611yescharacteristic
1627C2#6301812yes—
1628C2#6302412yes—
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. #59307C2semidirect
2. #59303C2semidirect
3. #55291C2semidirect
4. #54851C2semidirect
5. #51901C2semidirect
6. #49254C2semidirect
7. #48516C2semidirect
8. #47957C2semidirect
9. #45655C2semidirect
10. #45483C2semidirect
11. #45211C2semidirect
12. #45056C2semidirect
13. #44933C2semidirect
14. #44933C2semidirect
15. #44098C2semidirect
16. #43897C2semidirect
17. #42646C2semidirect
18. #42424C2semidirect
19. #40126C2semidirect
20. #39938C2semidirect
21. #39732C2semidirect
22. #39402C2semidirect
23. #37320C2semidirect
24. #36498C2semidirect
25. #36498C2semidirect
26. #36187C2semidirect
27. #36179C2semidirect
28. #36022C2semidirect
29. #35730C2semidirect
30. #35537C2semidirect
31. #34967C2semidirect
34. C2×#555C22semidirect
36. C2×#547C22semidirect
37. C2×#547C22semidirect
39. C2×#540C22semidirect
41. #2868C22semidirect
42. #2864C22semidirect
48. #2814C22semidirect
50. #2813C22semidirect
52. #2803C22semidirect
54. #2795C22semidirect
55. #2795C22semidirect
56. #2794C22semidirect
57. #2793C22semidirect
58. #2790C22semidirect
59. #2743C22semidirect
60. #2743C22semidirect
61. #2741C22semidirect
62. #2741C22semidirect
63. #2730C22semidirect
64. #2730C22semidirect
66. #2718C22semidirect
68. #2713C22semidirect
69. #2711C22semidirect
70. #2706C22semidirect
75. #2703C22semidirect
76. #2702C22semidirect
77. #2699C22semidirect
78. #2699C22semidirect
79. #2694C22semidirect
80. #2693C22semidirect
81. #2693C22semidirect
82. #2687C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2672C22semidirect
96. #2671C22semidirect
99. #2661C22semidirect
101. #2654C22semidirect
105. #2635C22semidirect
109. #2618C22semidirect
111. #2597C22semidirect
112. #2597C22semidirect
113. #2596C22semidirect
115. #2591C22semidirect
116. #2575C22semidirect
117. #2571C22semidirect
118. #2570C22semidirect
122. #2563C22semidirect
124. #2558C22semidirect
126. #2553C22semidirect
128. #2542C22semidirect
129. #2542C22semidirect
136. #2537C22semidirect
140. #2535C22semidirect
141. #2535C22semidirect
142. #2522C22semidirect
143. #2522C22semidirect
149. #2507C22semidirect
150. #2506C22semidirect
152. #2501C22semidirect
153. #2501C22semidirect
154. #2501C22semidirect
159. #2500C22semidirect
160. #2498C22semidirect
161. #2498C22semidirect
163. #2497C22semidirect
164. #2497C22semidirect
165. #2497C22semidirect
167. #2491C22semidirect
168. #2491C22semidirect
169. #2488C22semidirect
171. #2481C22semidirect
172. #2477C22semidirect
174. #2471C22semidirect
175. #2471C22semidirect
176. #2471C22semidirect
180. #2464C22semidirect
181. #2464C22semidirect
184. #2457C22semidirect
185. #2457C22semidirect
186. #2457C22semidirect
187. #2457C22semidirect
188. #2457C22semidirect
191. #2456C22semidirect
192. #2456C22semidirect
195. #2443C22semidirect
196. #2442C22semidirect
197. #2441C22semidirect
200. #2431C22semidirect
201. #2431C22semidirect
202. #2430C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
216. #2416C22semidirect
219. #2414C22semidirect
223. #2402C22semidirect
224. #2397C22semidirect
230. #2374C22semidirect
231. #2364C22semidirect
232. #2364C22semidirect
237. #2357C22semidirect
239. #2354C22semidirect
240. #2354C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. #2352C22semidirect
245. #2349C22semidirect
246. #2349C22semidirect
247. #2335C22semidirect
248. #2333C22semidirect
249. #2331C22semidirect
250. #2331C22semidirect
253. #2322C22semidirect
256. C4×#123C22semidirect
257. C4×#123C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
263. #2285C22semidirect
264. C2×#384C22semidirect
265. C42×D4C22semidirect
266. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#593072
#593032
#552912
#548512
#519012
#492542
#485162
#479572
#456552
#454832
#452112
#450562
#449332
#440982
#438972
#426462
#424242
#401262
#399382
#397322
#394022
#373202
#364982
#361872
#361792
#360222
#357302
#355372
#349672