Finite Group Databasebeta

← #7710057

Subgroups — #7710057

Order 512.

5604 conjugacy classes of subgroups.

The subgroup lattice has 1821 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59693C212yesmaximal, complemented
2#59691C212yesmaximal, complemented
3#59070C211yesmaximal, characteristic, complemented
4#59057C211yesmaximal, characteristic, complemented
5#59056C211yesmaximal, characteristic, complemented
6#59039C211yesmaximal, characteristic, complemented
7#45838C214yesmaximal, complemented
8#45649C212yesmaximal, complemented
9#45604C212yesmaximal, complemented
10#40177C212yesmaximal, complemented
11#40153C212yesmaximal, complemented
12#39785C212yesmaximal, complemented
13#39745C211yesmaximal, characteristic, complemented
14#39642C211yesmaximal, characteristic, complemented
15#39489C211yesmaximal, characteristic, complemented
16#39402C212yesmaximal, complemented
17#39386C211yesmaximal, characteristic, complemented
18#38373C214yesmaximal, complemented
19#37946C212yesmaximal, complemented
20#37822C214yesmaximal, complemented
21#37775C212yesmaximal, complemented
22#37587C212yesmaximal, complemented
23#37043C214yesmaximal, complemented
24#36644C211yesmaximal, characteristic, complemented
25#36638C211yesmaximal, characteristic, complemented
26#36496C211yesmaximal, characteristic, complemented
27#36472C212yesmaximal, complemented
28#36463C211yesmaximal, characteristic, complemented
29#36412C211yesmaximal, characteristic, complemented
30#36366C212yesmaximal, complemented
31#36300C211yesmaximal, characteristic, complemented
32#35171C212yesmaximal, complemented
33#35038C212yesmaximal, complemented
34#34431C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#553C2214yes—
40C2×#550C2211yescharacteristic
41C2×#540C2212yes—
42C2×#540C2214yes—
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#532C2212yes—
46C2×#532C2212yes—
47C2×#529C2211yescharacteristic
48#2868C2211yescharacteristic
49#2867C2211yescharacteristic
50#2866C2212yes—
51#2865C2212yes—
52#2864C2211yescharacteristic
53#2863C2211yescharacteristic
54#2861C2212yes—
55#2861C2211yescharacteristic
56#2860C2211yescharacteristic
57#2860C2212yes—
58#2858C2212yes—
59#2858C2211yescharacteristic
60#2858C2211yescharacteristic
61#2858C2212yes—
62#2856C2212yes—
63#2856C2212yes—
64#2856C2212yes—
65#2856C2212yes—
66#2856C2212yes—
67#2855C2211yescharacteristic
68#2854C2212yes—
69#2854C2211yescharacteristic
70#2853C2212yes—
71#2852C2212yes—
72#2851C2211yescharacteristic
73#2850C2211yescharacteristic
74#2829C2214yes—
75#2828C2214yes—
76#2797C2214yes—
77#2786C2214yes—
78#2757C2214yes—
79#2752C2214yes—
80#2749C2214yes—
81#2740C2214yes—
82#2733C2214yes—
83#2730C2214yes—
84#2717C2214yes—
85#2714C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2711C2214yes—
89#2711C2214yes—
90#2711C2214yes—
91#2705C2214yes—
92#2703C2214yes—
93#2703C2214yes—
94#2701C2214yes—
95#2688C2214yes—
96#2688C2214yes—
97#2686C2214yes—
98#2682C2214yes—
99#2674C2214yes—
100#2674C2214yes—
101#2673C2214yes—
102#2673C2214yes—
103#2673C2214yes—
104#2673C2214yes—
105#2673C2214yes—
106#2673C2214yes—
107#2671C2214yes—
108#2661C2214yes—
109#2661C2214yes—
110#2657C2212yes—
111#2648C2214yes—
112#2647C2212yes—
113#2635C2214yes—
114#2635C2214yes—
115#2630C2214yes—
116#2620C2212yes—
117#2619C2212yes—
118#2603C2214yes—
119#2603C2214yes—
120#2598C2214yes—
121#2595C2214yes—
122#2567C2211yescharacteristic
123#2567C2211yescharacteristic
124#2567C2211yescharacteristic
125#2566C2212yes—
126#2563C2211yescharacteristic
127#2559C2214yes—
128#2557C2214yes—
129#2555C2214yes—
130#2555C2214yes—
131#2552C2212yes—
132#2552C2212yes—
133#2548C2211yescharacteristic
134#2544C2212yes—
135#2544C2212yes—
136#2541C2212yes—
137#2541C2212yes—
138#2541C2212yes—
139#2541C2211yescharacteristic
140#2541C2211yescharacteristic
141#2541C2212yes—
142#2541C2212yes—
143#2541C2211yescharacteristic
144#2540C2212yes—
145#2537C2212yes—
146#2526C2214yes—
147#2521C2214yes—
148#2516C2214yes—
149#2513C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2511C2212yes—
153#2511C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2501C2212yes—
157#2500C2212yes—
158#2499C2212yes—
159#2490C2214yes—
160#2490C2212yes—
161#2490C2212yes—
162#2490C2214yes—
163#2474C2214yes—
164#2471C2214yes—
165#2471C2214yes—
166#2467C2214yes—
167#2464C2214yes—
168#2464C2214yes—
169#2464C2214yes—
170#2464C2214yes—
171#2461C2214yes—
172#2461C2214yes—
173#2460C2214yes—
174#2459C2214yes—
175#2457C2214yes—
176#2456C2214yes—
177#2456C2214yes—
178#2454C2212yes—
179#2454C2212yes—
180#2448C2212yes—
181#2447C2212yes—
182#2447C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2444C2214yes—
188#2443C2214yes—
189#2441C2212yes—
190#2441C2212yes—
191#2431C2212yes—
192#2431C2212yes—
193#2431C2212yes—
194#2431C2214yes—
195#2430C2214yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2214yes—
205#2428C2212yes—
206#2428C2212yes—
207#2427C2212yes—
208#2427C2212yes—
209#2427C2212yes—
210#2426C2212yes—
211#2426C2212yes—
212#2422C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2422C2212yes—
216#2422C2212yes—
217#2420C2212yes—
218#2420C2212yes—
219#2416C2212yes—
220#2414C2214yes—
221#2414C2212yes—
222#2414C2212yes—
223#2407C2212yes—
224#2407C2214yes—
225#2406C2214yes—
226#2377C2214yes—
227#2376C2214yes—
228#2369C2211yescharacteristic
229#2369C2211yescharacteristic
230#2367C2212yes—
231#2366C2212yes—
232#2366C2211yescharacteristic
233#2366C2212yes—
234#2366C2211yescharacteristic
235#2363C2212yes—
236#2363C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2361C2214yes—
242#2361C2212yes—
243#2359C2214yes—
244#2357C2212yes—
245#2354C2212yes—
246#2353C2214yes—
247#2349C2212yes—
248D4×C4⋊C4C2212yes—
249D4×C4⋊C4C2212yes—
250#2339C2212yes—
251#2335C2214yes—
252#2333C2214yes—
253#2330C2212yes—
254#2328C2212yes—
255#2325C2214yes—
256#2324C2214yes—
257#2322C2214yes—
258#2317C2212yes—
259C4×#127C2212yes—
260C4×#127C2212yes—
261C4×#127C2212yes—
262C4×#127C2212yes—
263C4×#127C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2211yescharacteristic
267C4×#126C2212yes—
268C4×#126C2212yes—
269C4×#126C2212yes—
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2298C2212yes—
285#2297C2212yes—
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2290C2212yes—
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#559—44no—
303#555—44no—
304#554—44no—
305#553—416no—
306#550—44no—
307#540—216no—
308#540—416no—
309#532—48no—
310#532—48no—
311#532—44no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2314yes—
330#529—28no—
331C2×#126C2312yes—
332C2×#126C2312yes—
333C2×#126C2314yes—
334C2×#125C2311yescharacteristic
335C2×#125C2312yes—
336C2×#125C2314yes—
337C2×#125C2314yes—
338C2×#125C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2314yes—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×D4C2314yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2314yes—
433C2×#117C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2314yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2312yes—
443C22×C42C2311yescharacteristic
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2314yes—
532#391C2314yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2314yes—
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#383C2312yes—
738#383C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2311yescharacteristic
744#381C2314yes—
745#381C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2314yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2312yes—
821C43C2311yescharacteristic
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2411yescharacteristic
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882#127—28no—
883#127—24no—
884#127—24no—
885#127—44no—
886#127—44no—
887#127—44no—
888#127—44no—
889#127—44no—
890#127—44no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—48no—
895#126—28no—
896#126—28no—
897#126—48no—
898#125—42no—
899#125—44no—
900#125—48no—
901#125—48no—
902#125#4118yescomplemented
903#124—24no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—42no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—48no—
915#123—28no—
916#123—28no—
917#123—216no—
918#123—216no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—48no—
925C22⋊Q8—24no—
926C22⋊Q8—48no—
927C22⋊Q8—42no—
928C22⋊Q8—44no—
929#121—216no—
930#121—24no—
931#121—216no—
932#121—216no—
933#121—28no—
934#121—28no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—44no—
947#121—44no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—48no—
960C4×Q8—24no—
961C4×Q8—24no—
962C4×Q8—24no—
963C4×Q8—42no—
964C4×D4—28no—
965C4×D4—24no—
966C4×D4—28no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—216no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—48no—
973C4×D4—48no—
974C4×D4—48no—
975C4×D4—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—48no—
991C4×D4—48no—
992#117—28no—
993#117—28no—
994#117—28no—
995#117—48no—
996#117—44no—
997#117—44no—
998C2×C4⋊C4—48no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—24no—
1120C2×C42—24no—
1121C2×C42—44no—
1122C2×C42—42no—
1123C2×C42—42no—
1124C2×C42—42no—
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24C2512yes—
1225C24C2512yes—
1226C24C2514yes—
1227C24C2514yes—
1228C24C2511yescharacteristic
1229#41—816no—
1230#41—816no—
1231#41—816no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×Q8—42no—
1243C2×Q8—42no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—28no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—28no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—28no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—42no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4H(5,𝔽2)14yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—28no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—28no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4C2×#4118yes—
1452C4⋊C4C2×#4114yes—
1453C4⋊C4C2×#4114yes—
1454C4⋊C4C2×#4118yes—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—28no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—24no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—24no—
1539C42—22no—
1540C42—22no—
1541C42—24no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—24no—
1547C42—24no—
1548C42—42no—
1549C42—41no—
1550C42—41no—
1551C42—41no—
1552C42—42no—
1553C42—41no—
1554C42—41no—
1555C42—41no—
1556C42—44no—
1557C42—44no—
1558C42—44no—
1559C42—42no—
1560C42C2×#4114yes—
1561C42H(5,𝔽2)14yes—
1562C42H(5,𝔽2)14yes—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—22no—
1579C23—22no—
1580C23—24no—
1581C23—24no—
1582C23—24no—
1583C23—24no—
1584C23—24no—
1585C23—24no—
1586C23—24no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—24no—
1595C23—22no—
1596C23—24no—
1597C23C2×H(5,𝔽2)12yes—
1598C23C2611yescharacteristic
1599Q8—44no—
1600Q8—44no—
1601Q8—84no—
1602Q8—84no—
1603D4—48no—
1604D4—44no—
1605D4—48no—
1606D4—48no—
1607D4—44no—
1608D4—48no—
1609D4—48no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—84no—
1617D4—84no—
1618D4—84no—
1619D4—88no—
1620D4—88no—
1621D4—88no—
1622D4—88no—
1623D4—88no—
1624D4—164no—
1625D4—164no—
1626D4—164no—
1627D4—164no—
1628C2×C4—28no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—44no—
1704C2×C4—48no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—48no—
1710C2×C4—44no—
1711C2×C4—48no—
1712C2×C4—88no—
1713C2×C4—88no—
1714C2×C4—84no—
1715C2×C4—88no—
1716C2×C4—88no—
1717C2×C4—88no—
1718C2×C4—164no—
1719C2×C4—164no—
1720C2×C4C22×#4112yes—
1721C2×C4C22×#4112yes—
1722C2×C4C22×#4114yes—
1723C2×C4C22×#4114yes—
1724C2×C4C22×#4112yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)12yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4#58512yes—
1734C2×C4#58512yes—
1735C2×C4#58512yes—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—44no—
1747C22—44no—
1748C22—42no—
1749C22—42no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—44no—
1755C22—42no—
1756C22—44no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—44no—
1761C22—42no—
1762C22—44no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—44no—
1767C22—44no—
1768C22—44no—
1769C22—42no—
1770C22—42no—
1771C22C23×#4111yescharacteristic
1772C22C22×H(5,𝔽2)11yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C22C2×#58511yescharacteristic
1778C4—22no—
1779C4—22no—
1780C4—24no—
1781C4—22no—
1782C4—22no—
1783C4—24no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—41no—
1789C4—42no—
1790C4—42no—
1791C4—41no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4—41no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—44no—
1803C4—44no—
1804C4—42no—
1805C4—42no—
1806C4#351714yes—
1807C4#356214yes—
1808C2—42no—
1809C2—82no—
1810C2—84no—
1811C2—84no—
1812C2—82no—
1813C2C2×#356211yescharacteristic
1814C2#6275911yescharacteristic
1815C2C2×#351711yescharacteristic
1816C2#6280011yescharacteristic
1817C2#6280011yescharacteristic
1818C2#6282211yescharacteristic
1819C2#6283211yescharacteristic
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. #59693C2semidirect
2. #59691C2semidirect
3. #59070C2semidirect
4. #59057C2semidirect
5. #59056C2semidirect
6. #59039C2semidirect
7. #45838C2semidirect
8. #45649C2semidirect
9. #45604C2semidirect
10. #40177C2semidirect
11. #40153C2semidirect
12. #39785C2semidirect
13. #39745C2semidirect
14. #39642C2semidirect
15. #39489C2semidirect
16. #39402C2semidirect
17. #39386C2semidirect
18. #38373C2semidirect
19. #37946C2semidirect
20. #37822C2semidirect
21. #37775C2semidirect
22. #37587C2semidirect
23. #37043C2semidirect
24. #36644C2semidirect
25. #36638C2semidirect
26. #36496C2semidirect
27. #36472C2semidirect
28. #36463C2semidirect
29. #36412C2semidirect
30. #36366C2semidirect
31. #36300C2semidirect
32. #35171C2semidirect
33. #35038C2semidirect
34. #34431C2semidirect
35. C4×#529C2semidirect
902. #125#41semidirect

Maximal subgroups

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

subgroupindex
#596932
#596912
#590702
#590572
#590562
#590392
#458382
#456492
#456042
#401772
#401532
#397852
#397452
#396422
#394892
#394022
#393862
#383732
#379462
#378222
#377752
#375872
#370432
#366442
#366382
#364962
#364722
#364632
#364122
#363662
#363002
#351712
#350382
#344312
C4×#5292