Finite Group Databasebeta

← #8466946

Subgroups — #8466946

Order 512.

5259 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59413C211yesmaximal, characteristic, complemented
3#59411C211yesmaximal, characteristic, complemented
4#54877C214yesmaximal, complemented
5#53831C214yesmaximal, complemented
6#53445C214yesmaximal, complemented
7#53117C212yesmaximal, complemented
8#53066C212yesmaximal, complemented
9#48269C214yesmaximal, complemented
10#46044C212yesmaximal, complemented
11#45522C212yesmaximal, complemented
12#45319C212yesmaximal, complemented
13#44951C212yesmaximal, complemented
14#42797C212yesmaximal, complemented
15#42683C212yesmaximal, complemented
16#42551C212yesmaximal, complemented
17#42529C212yesmaximal, complemented
18#40141C212yesmaximal, complemented
19#39864C212yesmaximal, complemented
20#39808C212yesmaximal, complemented
21#39746C211yesmaximal, characteristic, complemented
22#39745C211yesmaximal, characteristic, complemented
23#39363C211yesmaximal, characteristic, complemented
24#39174C211yesmaximal, characteristic, complemented
25#37680C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37348C212yesmaximal, complemented
28#37336C212yesmaximal, complemented
29#36595C211yesmaximal, characteristic, complemented
30#36465C211yesmaximal, characteristic, complemented
31#36128C211yesmaximal, characteristic, complemented
32#35186C211yesmaximal, characteristic, complemented
33#35176C211yesmaximal, characteristic, complemented
34#34951C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×D4×Q8C2211yescharacteristic
43C2×#548C2212yes—
44C2×#548C2212yes—
45C2×#547C2212yes—
46C2×#536C2212yes—
47C2×#532C2212yes—
48#2867C2211yescharacteristic
49#2861C2212yes—
50#2860C2212yes—
51#2858C2211yescharacteristic
52#2858C2211yescharacteristic
53#2858C2212yes—
54#2857C2212yes—
55#2856C2212yes—
56#2855C2212yes—
57#2829C2214yes—
58#2829C2214yes—
59#2828C2214yes—
60#2827C2214yes—
61#2813C2214yes—
62#2813C2214yes—
63#2813C2214yes—
64#2813C2214yes—
65#2803C2214yes—
66#2803C2214yes—
67#2797C2214yes—
68#2796C2214yes—
69#2780C2214yes—
70#2780C2214yes—
71#2748C2214yes—
72#2740C2214yes—
73#2732C2214yes—
74#2730C2214yes—
75#2730C2214yes—
76#2728C2214yes—
77#2712C2214yes—
78#2711C2214yes—
79#2711C2214yes—
80#2711C2214yes—
81#2711C2214yes—
82#2710C2214yes—
83#2710C2214yes—
84#2710C2214yes—
85#2706C2214yes—
86#2706C2214yes—
87#2705C2214yes—
88#2705C2214yes—
89#2704C2214yes—
90#2703C2214yes—
91#2701C2214yes—
92#2701C2214yes—
93#2699C2214yes—
94#2694C2214yes—
95#2694C2214yes—
96#2691C2214yes—
97#2691C2214yes—
98#2688C2214yes—
99#2687C2214yes—
100#2686C2214yes—
101#2686C2214yes—
102#2682C2214yes—
103#2681C2214yes—
104#2681C2214yes—
105#2673C2214yes—
106#2673C2214yes—
107#2672C2214yes—
108#2672C2214yes—
109#2671C2214yes—
110#2671C2214yes—
111#2671C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2667C2214yes—
115#2661C2214yes—
116#2658C2212yes—
117#2657C2212yes—
118#2651C2214yes—
119#2644C2212yes—
120#2641C2212yes—
121#2641C2212yes—
122#2638C2214yes—
123#2635C2214yes—
124#2630C2214yes—
125#2630C2214yes—
126#2624C2212yes—
127#2623C2214yes—
128#2620C2212yes—
129#2620C2212yes—
130#2602C2214yes—
131#2600C2214yes—
132#2597C2212yes—
133#2595C2212yes—
134#2592C2211yescharacteristic
135#2585C2212yes—
136#2585C2212yes—
137#2582C2211yescharacteristic
138#2582C2211yescharacteristic
139#2580C2211yescharacteristic
140#2570C2211yescharacteristic
141#2568C2211yescharacteristic
142#2566C2212yes—
143#2564C2214yes—
144#2556C2214yes—
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2550C2212yes—
148#2548C2212yes—
149#2548C2211yescharacteristic
150#2548C2211yescharacteristic
151#2548C2211yescharacteristic
152#2548C2212yes—
153#2548C2212yes—
154#2548C2212yes—
155#2547C2212yes—
156#2546C2211yescharacteristic
157#2546C2211yescharacteristic
158#2545C2212yes—
159#2544C2212yes—
160#2544C2211yescharacteristic
161#2544C2212yes—
162#2544C2212yes—
163#2544C2212yes—
164#2542C2211yescharacteristic
165#2542C2212yes—
166#2541C2212yes—
167#2541C2212yes—
168#2541C2212yes—
169#2541C2212yes—
170#2541C2211yescharacteristic
171#2541C2212yes—
172#2540C2214yes—
173#2540C2212yes—
174#2540C2214yes—
175#2540C2212yes—
176#2538C2211yescharacteristic
177#2538C2211yescharacteristic
178#2537C2212yes—
179#2522C2214yes—
180#2516C2212yes—
181#2513C2211yescharacteristic
182#2512C2212yes—
183#2511C2211yescharacteristic
184#2511C2211yescharacteristic
185#2511C2211yescharacteristic
186#2509C2212yes—
187#2507C2212yes—
188#2487C2214yes—
189#2468C2214yes—
190#2464C2214yes—
191#2459C2214yes—
192#2458C2212yes—
193#2455C2214yes—
194#2455C2214yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2454C2212yes—
200#2454C2212yes—
201#2453C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2451C2212yes—
205#2450C2214yes—
206#2449C2214yes—
207#2449C2214yes—
208#2448C2212yes—
209#2448C2212yes—
210#2448C2212yes—
211#2447C2212yes—
212#2447C2212yes—
213#2447C2211yescharacteristic
214#2446C2211yescharacteristic
215#2446C2211yescharacteristic
216#2445C2212yes—
217#2445C2212yes—
218#2445C2212yes—
219#2445C2212yes—
220#2445C2212yes—
221#2445C2211yescharacteristic
222#2445C2212yes—
223#2445C2212yes—
224#2445C2212yes—
225#2445C2212yes—
226#2445C2212yes—
227#2436C2212yes—
228#2434C2212yes—
229#2432C2212yes—
230#2432C2212yes—
231#2432C2212yes—
232#2432C2212yes—
233#2431C2212yes—
234#2431C2212yes—
235#2431C2212yes—
236#2431C2212yes—
237#2429C2212yes—
238#2429C2212yes—
239#2428C2212yes—
240#2428C2214yes—
241#2428C2214yes—
242#2428C2212yes—
243#2427C2212yes—
244#2427C2212yes—
245#2426C2212yes—
246#2426C2212yes—
247#2425C2214yes—
248#2425C2214yes—
249#2423C2212yes—
250#2423C2212yes—
251#2422C2212yes—
252#2422C2212yes—
253#2416C2214yes—
254#2407C2212yes—
255#2407C2212yes—
256#2402C2212yes—
257#2402C2212yes—
258#2398C2212yes—
259#2395C2212yes—
260#2377C2214yes—
261#2367C2212yes—
262#2366C2212yes—
263#2366C2212yes—
264#2366C2212yes—
265#2366C2212yes—
266#2349C2212yes—
267D4×C4⋊C4C2212yes—
268Q8×C22⋊C4C2212yes—
269#2339C2212yes—
270#2330C2212yes—
271#2328C2212yes—
272#2326C2212yes—
273#2326C2212yes—
274#2326C2212yes—
275#2325C2214yes—
276#2319C2212yes—
277#2319C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#127C2212yes—
285C4×#127C2211yescharacteristic
286C4×#125C2212yes—
287C4×#124C2211yescharacteristic
288C4×#124C2211yescharacteristic
289C4×#123C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2293C2211yescharacteristic
295#2290C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#559—48no—
304#559—44no—
305#557—44no—
306#550—44no—
307#550—44no—
308#550—44no—
309D4×Q8—44no—
310#548—48no—
311#548—48no—
312#547—48no—
313#536—48no—
314#532—48no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#126C2314yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#125C2312yes—
339C2×#125C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2312yes—
347C2×#124C2314yes—
348C2×#124C2312yes—
349C2×#124C2312yes—
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2311yescharacteristic
353C2×#124C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2312yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
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×D4C2314yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×#117C2312yes—
428C22×C4⋊C4C2314yes—
429C22×C42C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#398C2312yes—
459#398C2314yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#395C2314yes—
497#395C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#393C2314yes—
538#393C2312yes—
539#393C2312yes—
540#393C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2314yes—
573#391C2314yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2314yes—
645#389C2314yes—
646#389C2312yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2314yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2314yes—
654#389C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2312yes—
758#382C2312yes—
759#382C2311yescharacteristic
760#382C2311yescharacteristic
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817C2×#95C2314yes—
818C43C2312yes—
819C43C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C2×#41—28no—
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×Q8—28no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2414yes—
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877C4⋊Q8—24no—
878C4⋊Q8—44no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881#127—24no—
882#127—24no—
883#127—28no—
884#127—42no—
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—82no—
894#126—84no—
895#125—44no—
896#125—44no—
897#125—44no—
898#125—48no—
899#124—28no—
900#124—28no—
901#124—24no—
902#124—48no—
903#124—42no—
904#124—44no—
905#124—44no—
906#124—44no—
907#124—44no—
908#124—48no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—44no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—84no—
922#123—84no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—48no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—48no—
932C22⋊Q8—44no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—48no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—84no—
949#121—84no—
950#121—84no—
951C4×Q8—24no—
952C4×Q8—24no—
953C4×Q8—24no—
954C4×Q8—24no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—24no—
966C4×D4—24no—
967C4×D4—24no—
968C4×D4—48no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—42no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981C4×D4—48no—
982C4×D4—48no—
983C4×D4—48no—
984C4×D4—82no—
985C4×D4—82no—
986#117—44no—
987C2×C4⋊C4—48no—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C42—44no—
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24C2514yes—
1213C24C2514yes—
1214C24C2512yes—
1215C24C2512yes—
1216#41—816no—
1217#41—816no—
1218#41—816no—
1219C2×Q8—22no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—28no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—41no—
1237C2×Q8—44no—
1238C2×Q8—44no—
1239C2×Q8—816no—
1240C2×Q8H(5,𝔽2)14yes—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—28no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—28no—
1260C2×D4—28no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—28no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
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—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
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—
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—28no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—42no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—41no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C42—22no—
1500C42—24no—
1501C42—22no—
1502C42—24no—
1503C42—24no—
1504C42—22no—
1505C42—22no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—22no—
1516C42—22no—
1517C42—24no—
1518C42—42no—
1519C42—42no—
1520C42—44no—
1521C42—41no—
1522C42—41no—
1523C42—41no—
1524C42—41no—
1525C42—44no—
1526C42—42no—
1527C42—42no—
1528C42—41no—
1529C42H(5,𝔽2)14yes—
1530C42H(5,𝔽2)14yes—
1531C422−1+414yes—
1532C23—24no—
1533C23—24no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—24no—
1540C23—24no—
1541C23—22no—
1542C23—22no—
1543C23—24no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23—24no—
1548C23—22no—
1549C23—22no—
1550C23—24no—
1551C23—24no—
1552C23—22no—
1553C23—24no—
1554C23—24no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—24no—
1559C23—24no—
1560C23C2611yescharacteristic
1561Q8—28no—
1562Q8—44no—
1563Q8—48no—
1564Q8—44no—
1565Q8—44no—
1566Q8—44no—
1567Q8—88no—
1568D4—48no—
1569D4—48no—
1570D4—44no—
1571D4—44no—
1572D4—48no—
1573D4—48no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—84no—
1578D4—84no—
1579D4—84no—
1580D4—88no—
1581D4—84no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—164no—
1587D4—164no—
1588D4—164no—
1589D4—164no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—84no—
1673C2×C4—84no—
1674C2×C4—88no—
1675C2×C4—88no—
1676C2×C4—88no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—164no—
1680C2×C4—164no—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)14yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×H(5,𝔽2)12yes—
1686C2×C4C2×H(5,𝔽2)12yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×2−1+412yes—
1690C2×C4C2×2−1+412yes—
1691C2×C4C2×2−1+412yes—
1692C2×C4#58512yes—
1693C2×C4#58512yes—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—44no—
1698C22—42no—
1699C22—42no—
1700C22—44no—
1701C22—44no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—44no—
1706C22—44no—
1707C22—44no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—44no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—44no—
1716C22—42no—
1717C22—42no—
1718C22—44no—
1719C22—44no—
1720C22—42no—
1721C22—42no—
1722C22C22×H(5,𝔽2)11yescharacteristic
1723C22C22×H(5,𝔽2)11yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C22×2−1+411yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22C2×#58511yescharacteristic
1728C22H(7,𝔽2)11yescharacteristic
1729C4—24no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—44no—
1741C4—42no—
1742C4—41no—
1743C4—42no—
1744C4—41no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—42no—
1750C4—44no—
1751C4—41no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4#354314yes—
1759C4#355414yes—
1760C2—82no—
1761C2—82no—
1762C2—84no—
1763C2—84no—
1764C2C2×#354311yescharacteristic
1765C2C2×#355411yescharacteristic
1766C2#6283511yescharacteristic
1767C2#6291711yescharacteristic
1768C2#6295511yescharacteristic
1769C2#6296111yescharacteristic
1770C2#6301911yescharacteristic
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. #59815C2semidirect
2. #59413C2semidirect
3. #59411C2semidirect
4. #54877C2semidirect
5. #53831C2semidirect
6. #53445C2semidirect
7. #53117C2semidirect
8. #53066C2semidirect
9. #48269C2semidirect
10. #46044C2semidirect
11. #45522C2semidirect
12. #45319C2semidirect
13. #44951C2semidirect
14. #42797C2semidirect
15. #42683C2semidirect
16. #42551C2semidirect
17. #42529C2semidirect
18. #40141C2semidirect
19. #39864C2semidirect
20. #39808C2semidirect
21. #39746C2semidirect
22. #39745C2semidirect
23. #39363C2semidirect
24. #39174C2semidirect
25. #37680C2semidirect
26. #37625C2semidirect
27. #37348C2semidirect
28. #37336C2semidirect
29. #36595C2semidirect
30. #36465C2semidirect
31. #36128C2semidirect
32. #35186C2semidirect
33. #35176C2semidirect
34. #34951C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#594132
#594112
#548772
#538312
#534452
#531172
#530662
#482692
#460442
#455222
#453192
#449512
#427972
#426832
#425512
#425292
#401412
#398642
#398082
#397462
#397452
#393632
#391742
#376802
#376252
#373482
#373362
#365952
#364652
#361282
#351862
#351762
#349512
#349182