Finite Group Databasebeta

← #8467086

Subgroups — #8467086

Order 512.

4890 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59411C211yesmaximal, characteristic, complemented
2#59312C211yesmaximal, characteristic, complemented
3#59259C211yesmaximal, characteristic, complemented
4#58118C214yesmaximal, complemented
5#55360C214yesmaximal, complemented
6#54997C214yesmaximal, complemented
7#53096C212yesmaximal, complemented
8#53076C212yesmaximal, complemented
9#48177C214yesmaximal, complemented
10#45639C212yesmaximal, complemented
11#45522C212yesmaximal, complemented
12#45386C212yesmaximal, complemented
13#45224C212yesmaximal, complemented
14#42900C212yesmaximal, complemented
15#42674C212yesmaximal, complemented
16#42620C212yesmaximal, complemented
17#42603C212yesmaximal, complemented
18#40077C212yesmaximal, complemented
19#39985C212yesmaximal, complemented
20#39816C212yesmaximal, complemented
21#39726C211yesmaximal, characteristic, complemented
22#39635C211yesmaximal, characteristic, complemented
23#39194C211yesmaximal, characteristic, complemented
24#39137C211yesmaximal, characteristic, complemented
25#38093C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37370C212yesmaximal, complemented
28#37315C212yesmaximal, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34724C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×#550C2212yes—
41C2×#533C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2854C2212yes—
52#2851C2212yes—
53#2850C2212yes—
54#2829C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2829C2214yes—
58#2826C2214yes—
59#2813C2214yes—
60#2813C2214yes—
61#2813C2214yes—
62#2808C2214yes—
63#2803C2214yes—
64#2802C2214yes—
65#2802C2214yes—
66#2801C2214yes—
67#2800C2214yes—
68#2800C2214yes—
69#2796C2214yes—
70#2787C2214yes—
71#2787C2214yes—
72#2786C2214yes—
73#2786C2214yes—
74#2783C2214yes—
75#2781C2214yes—
76#2780C2214yes—
77#2780C2214yes—
78#2779C2214yes—
79#2779C2214yes—
80#2768C2214yes—
81#2748C2214yes—
82#2746C2214yes—
83#2740C2214yes—
84#2732C2214yes—
85#2727C2214yes—
86#2725C2214yes—
87#2724C2214yes—
88#2721C2214yes—
89#2709C2214yes—
90#2709C2214yes—
91#2707C2214yes—
92#2707C2214yes—
93#2706C2214yes—
94#2706C2214yes—
95#2705C2214yes—
96#2705C2214yes—
97#2703C2214yes—
98#2701C2214yes—
99#2699C2214yes—
100#2693C2214yes—
101#2691C2214yes—
102#2691C2214yes—
103#2691C2214yes—
104#2687C2214yes—
105#2682C2214yes—
106#2681C2214yes—
107#2681C2214yes—
108#2681C2214yes—
109#2681C2214yes—
110#2673C2214yes—
111#2667C2214yes—
112#2653C2214yes—
113#2651C2214yes—
114#2647C2212yes—
115#2644C2212yes—
116#2641C2212yes—
117#2630C2214yes—
118#2630C2214yes—
119#2630C2214yes—
120#2629C2214yes—
121#2624C2212yes—
122#2624C2214yes—
123#2624C2212yes—
124#2620C2212yes—
125#2620C2212yes—
126#2620C2212yes—
127#2608C2214yes—
128#2601C2214yes—
129#2592C2212yes—
130#2587C2214yes—
131#2585C2214yes—
132#2582C2211yescharacteristic
133#2582C2211yescharacteristic
134#2582C2212yes—
135#2582C2211yescharacteristic
136#2569C2214yes—
137#2566C2212yes—
138#2565C2212yes—
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2548C2211yescharacteristic
142#2548C2212yes—
143#2545C2212yes—
144#2544C2212yes—
145#2541C2212yes—
146#2541C2211yescharacteristic
147#2540C2212yes—
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2212yes—
151#2538C2212yes—
152#2538C2211yescharacteristic
153#2537C2211yescharacteristic
154#2537C2212yes—
155#2537C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2512C2212yes—
159#2511C2212yes—
160#2511C2212yes—
161#2508C2212yes—
162#2507C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2504C2212yes—
166#2501C2212yes—
167#2500C2212yes—
168#2500C2212yes—
169#2497C2212yes—
170#2494C2212yes—
171#2494C2212yes—
172#2490C2212yes—
173#2486C2212yes—
174#2485C2214yes—
175#2485C2212yes—
176#2478C2212yes—
177#2477C2212yes—
178#2476C2214yes—
179#2476C2214yes—
180#2476C2214yes—
181#2475C2212yes—
182#2470C2212yes—
183#2468C2214yes—
184#2466C2212yes—
185#2464C2214yes—
186#2463C2212yes—
187#2460C2214yes—
188#2460C2212yes—
189#2460C2214yes—
190#2455C2212yes—
191#2454C2212yes—
192#2454C2212yes—
193#2453C2211yescharacteristic
194#2453C2212yes—
195#2453C2212yes—
196#2452C2212yes—
197#2452C2211yescharacteristic
198#2447C2212yes—
199#2447C2211yescharacteristic
200#2446C2211yescharacteristic
201#2445C2212yes—
202#2445C2214yes—
203#2445C2212yes—
204#2445C2212yes—
205#2444C2214yes—
206#2441C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2441C2211yescharacteristic
210#2439C2211yescharacteristic
211#2432C2212yes—
212#2432C2211yescharacteristic
213#2432C2211yescharacteristic
214#2431C2212yes—
215#2429C2211yescharacteristic
216#2428C2214yes—
217#2428C2212yes—
218#2428C2212yes—
219#2427C2212yes—
220#2427C2212yes—
221#2427C2211yescharacteristic
222#2427C2212yes—
223#2426C2212yes—
224#2426C2212yes—
225#2426C2212yes—
226#2425C2214yes—
227#2425C2214yes—
228#2423C2212yes—
229#2423C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2211yescharacteristic
233#2422C2212yes—
234#2422C2212yes—
235#2421C2211yescharacteristic
236#2417C2214yes—
237#2417C2212yes—
238#2417C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2415C2212yes—
242#2415C2211yescharacteristic
243#2415C2211yescharacteristic
244#2414C2214yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2413C2214yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2407C2211yescharacteristic
252#2407C2212yes—
253#2398C2212yes—
254#2395C2212yes—
255#2392C2212yes—
256#2392C2212yes—
257#2377C2214yes—
258#2367C2212yes—
259#2363C2212yes—
260#2362C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2355C2212yes—
264#2354C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268#2349C2212yes—
269#2344C2212yes—
270#2341C2212yes—
271#2339C2212yes—
272#2329C2214yes—
273#2327C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2316C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#123C2212yes—
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2296C2212yes—
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2285C2211yescharacteristic
297C2×#384C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#559—44no—
303#553—48no—
304#552—48no—
305#550—44no—
306#550—48no—
307#533—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2314yes—
315#529—44no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C4×#41—44no—
371C4×#41—44no—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2314yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2312yes—
420#401C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#393C2314yes—
535#393C2312yes—
536#393C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#392C2314yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2312yes—
551#391C2311yescharacteristic
552#391C2312yes—
553#391C2312yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2311yescharacteristic
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2314yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
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#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#382C2312yes—
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2314yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C2×#41—24no—
820C2×#41—28no—
821C2×#41—24no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C4⋊Q8—24no—
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869#127—24no—
870#127—44no—
871#127—44no—
872#127—48no—
873#126—44no—
874#126—48no—
875#126—48no—
876#125—42no—
877#125—44no—
878#125—44no—
879#125—44no—
880#125—48no—
881#124—44no—
882#124—42no—
883#124—42no—
884#124—44no—
885#124—44no—
886#123—48no—
887#123—44no—
888#123—44no—
889#123—48no—
890#123—48no—
891#123—84no—
892#123—84no—
893#123—84no—
894#123—84no—
895C22⋊Q8—24no—
896C22⋊Q8—24no—
897C22⋊Q8—44no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—42no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—44no—
907C22⋊Q8—84no—
908#121—28no—
909#121—44no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—42no—
918#121—44no—
919#121—44no—
920#121—42no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—48no—
925#121—84no—
926#121—82no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—42no—
934C4×Q8—42no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—44no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—48no—
956C4×D4—48no—
957C4×D4—82no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—44no—
963#117—48no—
964#117—42no—
965#117—42no—
966#117—44no—
967#117—44no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—82no—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C42—24no—
1109C2×C42—24no—
1110C2×C42—44no—
1111C2×C42—44no—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200C24C2512yes—
1201C24C2512yes—
1202C24C2511yescharacteristic
1203C24C2514yes—
1204C24C2511yescharacteristic
1205#41—416no—
1206#41—416no—
1207#41—816no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q82−1+414yes—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—28no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—28no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—41no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4H(5,𝔽2)14yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2514yes—
1344C22×C4C2514yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—41no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—22no—
1430C22⋊C4—28no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—28no—
1434C22⋊C4—24no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—42no—
1489C42—22no—
1490C42—22no—
1491C42—22no—
1492C42—22no—
1493C42—22no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—24no—
1504C42—22no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—42no—
1509C42—44no—
1510C42—44no—
1511C42—44no—
1512C42—41no—
1513C42—44no—
1514C42—41no—
1515C42—44no—
1516C42H(5,𝔽2)14yes—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—24no—
1527C23—22no—
1528C23—21no—
1529C23—24no—
1530C23—22no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—24no—
1535C23—21no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—24no—
1550C23—21no—
1551C23C2×H(5,𝔽2)12yes—
1552C23C2611yescharacteristic
1553Q8—28no—
1554Q8—44no—
1555Q8—44no—
1556Q8—44no—
1557Q8—84no—
1558D4—48no—
1559D4—44no—
1560D4—48no—
1561D4—44no—
1562D4—48no—
1563D4—48no—
1564D4—44no—
1565D4—84no—
1566D4—88no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—84no—
1571D4—164no—
1572D4—164no—
1573D4—164no—
1574D4—164no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—28no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—44no—
1657C2×C4—48no—
1658C2×C4—48no—
1659C2×C4—44no—
1660C2×C4—48no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—44no—
1664C2×C4—84no—
1665C2×C4—82no—
1666C2×C4—88no—
1667C2×C4—88no—
1668C2×C4—84no—
1669C2×C4—164no—
1670C2×C4—164no—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×2−1+414yes—
1677C2×C4C2×2−1+412yes—
1678C2×C4#58512yes—
1679C2×C4#58512yes—
1680C2×C4#58512yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—44no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—44no—
1696C22—41no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—41no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—41no—
1705C22—44no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—44no—
1716C22C22×H(5,𝔽2)11yescharacteristic
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C22×2−1+411yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22C2×#58511yescharacteristic
1722C22H(7,𝔽2)11yescharacteristic
1723C4—22no—
1724C4—24no—
1725C4—22no—
1726C4—22no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—41no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—44no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—44no—
1743C4—44no—
1744C4—41no—
1745C4—42no—
1746C4—41no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4#353614yes—
1752C4#353914yes—
1753C2—42no—
1754C2—82no—
1755C2—82no—
1756C2—81no—
1757C2—84no—
1758C2C2×#353611yescharacteristic
1759C2C2×#353911yescharacteristic
1760C2#6283611yescharacteristic
1761C2#6295211yescharacteristic
1762C2#6295511yescharacteristic
1763C2#6295711yescharacteristic
1764C2#6303411yescharacteristic
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. #59411C2semidirect
2. #59312C2semidirect
3. #59259C2semidirect
4. #58118C2semidirect
5. #55360C2semidirect
6. #54997C2semidirect
7. #53096C2semidirect
8. #53076C2semidirect
9. #48177C2semidirect
10. #45639C2semidirect
11. #45522C2semidirect
12. #45386C2semidirect
13. #45224C2semidirect
14. #42900C2semidirect
15. #42674C2semidirect
16. #42620C2semidirect
17. #42603C2semidirect
18. #40077C2semidirect
19. #39985C2semidirect
20. #39816C2semidirect
21. #39726C2semidirect
22. #39635C2semidirect
23. #39194C2semidirect
24. #39137C2semidirect
25. #38093C2semidirect
26. #37625C2semidirect
27. #37370C2semidirect
28. #37315C2semidirect
29. #36455C2semidirect
30. #36410C2semidirect
31. #36182C2semidirect
32. #35280C2semidirect
33. #35189C2semidirect
34. #34724C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#594112
#593122
#592592
#581182
#553602
#549972
#530962
#530762
#481772
#456392
#455222
#453862
#452242
#429002
#426742
#426202
#426032
#400772
#399852
#398162
#397262
#396352
#391942
#391372
#380932
#376252
#373702
#373152
#364552
#364102
#361822
#352802
#351892
#347242
#347202