Finite Group Databasebeta

← #8807429

Subgroups — #8807429

Order 512.

4144 conjugacy classes of subgroups.

The subgroup lattice has 2077 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59879C211yesmaximal, characteristic, complemented
2#58589C212yesmaximal, complemented
3#56128C212yesmaximal, complemented
4#54136C212yesmaximal, complemented
5#53734C212yesmaximal, complemented
6#53368C211yesmaximal, characteristic, complemented
7#53216C211yesmaximal, characteristic, complemented
8#51660C212yesmaximal, complemented
9#51648C212yesmaximal, complemented
10#51628C212yesmaximal, complemented
11#51557C212yesmaximal, complemented
12#51115C212yesmaximal, complemented
13#51110C212yesmaximal, complemented
14#50215C212yesmaximal, complemented
15#49963C212yesmaximal, complemented
16#49077C212yesmaximal, complemented
17#48855C212yesmaximal, complemented
18#48788C212yesmaximal
19#48401C212yesmaximal, complemented
20#47420C212yesmaximal, complemented
21#46680C212yesmaximal, complemented
22#46200C211yesmaximal, characteristic, complemented
23#46153C211yesmaximal, characteristic, complemented
24#45946C211yesmaximal, characteristic, complemented
25#44461C212yesmaximal, complemented
26#44003C212yesmaximal, complemented
27#43499C212yesmaximal
28#43316C212yesmaximal, complemented
29#42054C212yesmaximal, complemented
30#42000C212yesmaximal, complemented
31#39637C211yesmaximal, characteristic, complemented
32#39484C211yesmaximal, characteristic, complemented
33#39484C211yesmaximal, characteristic, complemented
34#39376C211yesmaximal, characteristic
35#37255C211yesmaximal, characteristic, complemented
36#37166C211yesmaximal, characteristic
37#36372C211yesmaximal, characteristic
38#36280C211yesmaximal, characteristic, complemented
39#35282C211yesmaximal, characteristic, complemented
40C2×#552C2212yes—
41C2×#552C2212yes—
42C2×#539C2212yes—
43#2864C2211yescharacteristic
44#2864C2211yescharacteristic
45#2863C2211yescharacteristic
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2857C2211yescharacteristic
50#2855C2211yescharacteristic
51#2851C2211yescharacteristic
52#2851C2211yescharacteristic
53#2845C2212yes—
54#2843C2212yes—
55#2839C2212yes—
56#2839C2212yes—
57#2839C2212yes—
58#2839C2212yes—
59#2839C2212yes—
60#2810C2211yescharacteristic
61#2809C2212yes—
62#2809C2211yescharacteristic
63#2809C2212yes—
64#2806C2212yes—
65#2806C2212yes—
66#2805C2212yes—
67#2805C2211yescharacteristic
68#2805C2211yescharacteristic
69#2802C2212yes—
70#2802C2212yes—
71#2802C2212yes—
72#2802C2212yes—
73#2802C2212yes—
74#2802C2212yes—
75#2802C2212yes—
76#2802C2212yes—
77#2799C2212yes—
78#2794C2212yes—
79#2794C2212yes—
80#2794C2212yes—
81#2794C2212yes—
82#2792C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2791C2212yes—
86#2791C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2787C2212yes—
94#2787C2212yes—
95#2776C2212yes—
96#2776C2212yes—
97#2774C2212yes—
98#2774C2212yes—
99#2774C2212yes—
100#2771C2212yes—
101#2770C2212yes—
102#2770C2212yes—
103#2769C2212yes—
104#2768C2212yes—
105#2768C2212yes—
106#2767C2212yes—
107#2767C2212yes—
108#2766C2212yes—
109#2766C2212yes—
110#2766C2212yes—
111#2766C2212yes—
112#2765C2212yes—
113#2765C2212yes—
114#2765C2212yes—
115#2765C2212yes—
116#2765C2212yes—
117#2764C2212yes—
118#2762C2212yes—
119#2762C2212yes—
120#2762C2212yes—
121#2758C2212yes—
122#2755C2212yes—
123#2755C2212yes—
124#2755C2212yes—
125#2755C2212yes—
126#2747C2212yes—
127#2746C2212yes—
128#2744C2212yes—
129#2743C2212yes—
130#2739C2212yes—
131#2739C2212yes—
132#2739C2212yes—
133#2739C2212yes—
134#2738C2212yes—
135#2732C2211yescharacteristic
136#2726C2212yes—
137#2726C2211yescharacteristic
138#2726C2212yes—
139#2726C2212yes—
140#2726C2211yescharacteristic
141#2726C2211yescharacteristic
142#2726C2211yescharacteristic
143#2726C2211yescharacteristic
144#2726C2212yes—
145#2726C2212yes—
146#2726C2211yescharacteristic
147#2726C2211yescharacteristic
148#2726C2212yes—
149#2726C2212yes—
150#2726C2212yes—
151#2726C2211yescharacteristic
152#2724C2211yescharacteristic
153#2724C2211yescharacteristic
154#2724C2212yes—
155#2724C2212yes—
156#2724C2211yescharacteristic
157#2722C2212yes—
158#2722C2212yes—
159#2722C2212yes—
160#2719C2212yes—
161#2719C2212yes—
162#2719C2212yes—
163#2719C2212yes—
164#2719C2212yes—
165#2719C2212yes—
166#2719C2212yes—
167#2713C2212yes—
168#2713C2212yes—
169#2708C2212yes—
170#2704C2212yes—
171#2704C2212yes—
172#2698C2212yes—
173#2698C2212yes—
174#2695C2212yes—
175#2690C2212yes—
176#2690C2212yes—
177#2690C2212yes—
178#2689C2212yes—
179#2689C2212yes—
180#2689C2212yes—
181#2689C2212yes—
182#2689C2212yes—
183#2689C2212yes—
184#2689C2212yes—
185#2687C2212yes—
186#2680C2212yes—
187#2680C2212yes—
188#2667C2212yes—
189#2666C2212yes—
190#2666C2212yes—
191#2666C2212yes—
192#2660C2211yescharacteristic
193#2660C2211yescharacteristic
194#2655C2212yes—
195#2655C2212yes—
196#2655C2212yes—
197#2655C2212yes—
198#2652C2212yes—
199#2652C2212yes—
200#2647C2212yes—
201#2629C2211yescharacteristic
202#2628C2211yescharacteristic
203#2627C2212yes—
204#2627C2212yes—
205#2625C2212yes—
206#2621C2212yes—
207#2621C2212yes—
208#2612C2212yes—
209#2611C2212yes—
210#2609C2212yes—
211#2608C2212yes—
212#2606C2212yes—
213#2590C2212yes—
214#2590C2212yes—
215#2590C2212yes—
216#2589C2212yes—
217#2587C2212yes—
218#2586C2212yes—
219#2586C2212yes—
220#2585C2212yes—
221#2585C2212yes—
222#2585C2212yes—
223#2585C2212yes—
224#2585C2212yes—
225#2585C2212yes—
226#2585C2212yes—
227#2584C2212yes—
228#2583C2212yes—
229#2579C2212yes—
230#2577C2212yes—
231#2577C2212yes—
232#2577C2212yes—
233#2577C2212yes—
234#2575C2212yes—
235#2575C2212yes—
236#2574C2212yes—
237#2573C2212yes—
238#2573C2212yes—
239#2573C2212yes—
240#2570C2211yescharacteristic
241#2570C2212yes—
242#2569C2212yes—
243#2566C2211yescharacteristic
244#2565C2212yes—
245#2565C2212yes—
246#2556C2212yes—
247#2553C2212yes—
248#2552C2212yes—
249#2552C2212yes—
250#2552C2212yes—
251#2549C2212yes—
252#2549C2212yes—
253#2530C2212yes—
254#2524C2212yes—
255#2522C2212yes—
256#2522C2212yes—
257#2520C2212yes—
258#2520C2212yes—
259#2520C2212yes—
260#2520C2212yes—
261#2517C2212yes—
262#2515C2212yes—
263#2515C2212yes—
264#2511C2211yescharacteristic
265#2508C2212yes—
266#2507C2212yes—
267#2507C2212yes—
268#2507C2212yes—
269#2507C2212yes—
270#2507C2212yes—
271#2507C2211yescharacteristic
272#2507C2211yescharacteristic
273#2506C2212yes—
274#2506C2212yes—
275#2505C2212yes—
276#2505C2212yes—
277#2502C2212yes—
278#2502C2212yes—
279#2502C2211yescharacteristic
280#2499C2212yes—
281#2499C2212yes—
282#2499C2212yes—
283#2497C2211yescharacteristic
284#2496C2212yes—
285#2496C2212yes—
286#2495C2211yescharacteristic
287#2486C2212yes—
288#2486C2212yes—
289#2485C2212yes—
290#2484C2212yes—
291#2484C2212yes—
292#2478C2212yes—
293#2478C2212yes—
294#2478C2212yes—
295#2478C2212yes—
296#2478C2212yes—
297#2478C2212yes—
298#2478C2212yes—
299#2478C2212yes—
300#2478C2212yes—
301#2478C2212yes—
302#2478C2212yes—
303#2478C2212yes—
304#2478C2212yes—
305#2475C2212yes—
306#2475C2212yes—
307#2473C2212yes—
308#2473C2212yes—
309#2473C2212yes—
310#2473C2212yes—
311#2473C2212yes—
312#2473C2212yes—
313#2473C2212yes—
314#2473C2212yes—
315#2473C2212yes—
316#2470C2212yes—
317#2470C2212yes—
318#2470C2212yes—
319#2470C2212yes—
320#2468C2212yes—
321#2466C2212yes—
322#2465C2212yes—
323#2462C2212yes—
324#2462C2212yes—
325#2462C2212yes—
326#2460C2212yes—
327#2460C2212yes—
328#2453C2212yes—
329#2453C2212yes—
330#2453C2212yes—
331#2451C2211yescharacteristic
332#2450C2212yes—
333#2449C2212yes—
334#2442C2212yes—
335#2440C2212yes—
336#2440C2211yescharacteristic
337#2438C2212yes—
338#2438C2212yes—
339#2438C2212yes—
340#2438C2212yes—
341#2438C2212yes—
342#2438C2212yes—
343#2438C2212yes—
344#2422C2211yescharacteristic
345#2421C2212yes—
346#2420C2211yescharacteristic
347#2419C2212yes—
348#2419C2212yes—
349#2419C2212yes—
350#2419C2212yes—
351#2395C2212yes—
352C2×#398C2212yes—
353#2382C2212yes—
354#2382C2212yes—
355#2382C2212yes—
356#2378C2212yes—
357#2376C2212yes—
358#2374C2212yes—
359#2370C2211yescharacteristic
360#2370C2212yes—
361#2368C2212yes—
362#2360C2211yescharacteristic
363#2360C2212yes—
364#2359C2212yes—
365#2359C2212yes—
366#2349C2211yescharacteristic
367D4×C4⋊C4C2212yes—
368#2345C2211yescharacteristic
369#2344C2212yes—
370#2343C2212yes—
371#2343C2212yes—
372#2343C2212yes—
373#2336C2212yes—
374#2336C2212yes—
375#2332C2212yes—
376#2331C2211yescharacteristic
377#2331C2212yes—
378#2330C2211yescharacteristic
379#2322C2212yes—
380#2322C2212yes—
381#2317C2212yes—
382#2317C2212yes—
383#2316C2212yes—
384#2314C2211yescharacteristic
385#2314C2211yescharacteristic
386C4×C4⋊Q8C2211yescharacteristic
387C4×C4⋊Q8C2211yescharacteristic
388C4×#125C2211yescharacteristic
389C4×#121C2211yescharacteristic
390#2295C2211yescharacteristic
391#2293C2211yescharacteristic
392#2293C2211yescharacteristic
393C2×#389C2211yescharacteristic
394C4×#117C2211yescharacteristic
395#552—48no—
396#552—48no—
397#539—48no—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2311yescharacteristic
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#125C2311yescharacteristic
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2311yescharacteristic
411C2×#125C2312yes—
412C2×#125C2311yescharacteristic
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×#121C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2311yescharacteristic
466C22×C42C2311yescharacteristic
467#401C2312yes—
468#401C2312yes—
469#401C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#393C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2311yescharacteristic
701#391C2312yes—
702#391C2311yescharacteristic
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#390C2311yescharacteristic
710#389C2311yescharacteristic
711#389C2311yescharacteristic
712#389C2312yes—
713#389C2312yes—
714#389C2311yescharacteristic
715#389C2311yescharacteristic
716#389C2311yescharacteristic
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2311yescharacteristic
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2312yes—
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2311yescharacteristic
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2311yescharacteristic
800#389C2311yescharacteristic
801#389C2312yes—
802#389C2312yes—
803#389C2311yescharacteristic
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#384C2311yescharacteristic
1020#384C2311yescharacteristic
1021#384C2312yes—
1022#384C2312yes—
1023#384C2311yescharacteristic
1024#384C2311yescharacteristic
1025#384C2311yescharacteristic
1026#384C2311yescharacteristic
1027#384C2311yescharacteristic
1028#384C2311yescharacteristic
1029#384C2311yescharacteristic
1030#384C2312yes—
1031#384C2312yes—
1032#384C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#383C2312yes—
1036#383C2312yes—
1037#383C2312yes—
1038#383C2312yes—
1039#382C2311yescharacteristic
1040#382C2312yes—
1041#382C2312yes—
1042#382C2311yescharacteristic
1043#382C2311yescharacteristic
1044#382C2311yescharacteristic
1045#382C2311yescharacteristic
1046#382C2311yescharacteristic
1047#382C2312yes—
1048#382C2312yes—
1049#382C2312yes—
1050#382C2312yes—
1051#382C2312yes—
1052#382C2312yes—
1053#382C2311yescharacteristic
1054#382C2312yes—
1055#382C2312yes—
1056#382C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#381C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#381C2312yes—
1064#381C2312yes—
1065#381C2312yes—
1066#381C2312yes—
1067#381C2312yes—
1068#380C2311yescharacteristic
1069#380C2312yes—
1070#380C2312yes—
1071#380C2311yescharacteristic
1072#380C2311yescharacteristic
1073#380C2311yescharacteristic
1074#380C2312yes—
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078#380C2312yes—
1079#380C2312yes—
1080#380C2312yes—
1081#380C2312yes—
1082#380C2312yes—
1083#380C2311yescharacteristic
1084#380C2311yescharacteristic
1085#380C2311yescharacteristic
1086#380C2311yescharacteristic
1087#380C2312yes—
1088#380C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2312yes—
1108C4×C4⋊C4C2312yes—
1109C4×C4⋊C4C2312yes—
1110C4×C4⋊C4C2312yes—
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2312yes—
1113C4×C4⋊C4C2312yes—
1114C4×C4⋊C4C2312yes—
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2312yes—
1118C4×C4⋊C4C2311yescharacteristic
1119C4×C4⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2311yescharacteristic
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2311yescharacteristic
1136#376C2311yescharacteristic
1137#376C2312yes—
1138#376C2311yescharacteristic
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C22×Q8C2412yes—
1146C22×Q8C2411yescharacteristic
1147C22×Q8C2412yes—
1148C22×Q8C2412yes—
1149C22×D4C2412yes—
1150C22×D4C2411yescharacteristic
1151C23×C4C2411yescharacteristic
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2411yescharacteristic
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2411yescharacteristic
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C4⋊Q8—24no—
1164C4⋊Q8—42no—
1165C4⋊Q8—42no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#126—44no—
1170#126—44no—
1171#126—44no—
1172#125—24no—
1173#125—42no—
1174#125—42no—
1175#125—44no—
1176#125—44no—
1177#125—44no—
1178#125—44no—
1179#125—44no—
1180#125—44no—
1181#125—44no—
1182#125—44no—
1183#125—44no—
1184#125—44no—
1185#125—44no—
1186#125—44no—
1187#125—44no—
1188#123—28no—
1189#123—28no—
1190#123—28no—
1191#123—28no—
1192#123—44no—
1193#123—44no—
1194C22⋊Q8—28no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—42no—
1203C22⋊Q8—44no—
1204#121—24no—
1205C4×Q8—44no—
1206C4×Q8—44no—
1207C4×Q8—42no—
1208C4×D4—24no—
1209C4×D4—24no—
1210C4×D4—42no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214#117—24no—
1215#117—28no—
1216#117—24no—
1217#117—44no—
1218#117—44no—
1219#117—44no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224C2×C4⋊C4—42no—
1225C2×C4⋊C4—44no—
1226C2×C4⋊C4—42no—
1227C2×C4⋊C4—44no—
1228C2×C4⋊C4—44no—
1229C2×C4⋊C4—44no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2411yescharacteristic
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2411yescharacteristic
1372C2×C22⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C42—42no—
1396C2×C42C2411yescharacteristic
1397C2×C42C2411yescharacteristic
1398C2×C42C2411yescharacteristic
1399C2×C42C2411yescharacteristic
1400C2×C42C2412yes—
1401C2×C42C2411yescharacteristic
1402C2×C42C2411yescharacteristic
1403C2×C42C2411yescharacteristic
1404C2×C42C2411yescharacteristic
1405C2×C42C2411yescharacteristic
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2411yescharacteristic
1424C2×C42C2411yescharacteristic
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427C2×C42C2411yescharacteristic
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2411yescharacteristic
1435#95C2411yescharacteristic
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2411yescharacteristic
1452#95C2411yescharacteristic
1453#95C2411yescharacteristic
1454#95C2411yescharacteristic
1455#95C2411yescharacteristic
1456#95C2411yescharacteristic
1457#95C2411yescharacteristic
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569C24C2512yes—
1570C24C2511yescharacteristic
1571C2×Q8—24no—
1572C2×Q8—24no—
1573C2×Q8—22no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—41no—
1577C2×Q8—42no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—42no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—41no—
1586C2×D4—42no—
1587C2×D4—41no—
1588C2×D4H(5,𝔽2)14yes—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—22no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—22no—
1598C22×C4—24no—
1599C22×C4—22no—
1600C22×C4—22no—
1601C22×C4—22no—
1602C22×C4—24no—
1603C22×C4—41no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—41no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—41no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—41no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4C2511yescharacteristic
1626C22×C4C2512yes—
1627C22×C4C2511yescharacteristic
1628C22×C4C2512yes—
1629C22×C4C2511yescharacteristic
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2511yescharacteristic
1640C22×C4C2511yescharacteristic
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2511yescharacteristic
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2511yescharacteristic
1656C22×C4C2511yescharacteristic
1657C22×C4C2511yescharacteristic
1658C22×C4C2511yescharacteristic
1659C22×C4C2511yescharacteristic
1660C22×C4C2511yescharacteristic
1661C22×C4C2511yescharacteristic
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—22no—
1665C4⋊C4—22no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—22no—
1670C4⋊C4—24no—
1671C4⋊C4—22no—
1672C4⋊C4—24no—
1673C4⋊C4—22no—
1674C4⋊C4—22no—
1675C4⋊C4—22no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—22no—
1684C4⋊C4—22no—
1685C4⋊C4—24no—
1686C4⋊C4—22no—
1687C4⋊C4—22no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—22no—
1691C4⋊C4—24no—
1692C4⋊C4—22no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—22no—
1700C4⋊C4—41no—
1701C4⋊C4—41no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—41no—
1721C4⋊C4—41no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—41no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—41no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—22no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—22no—
1807C22⋊C4—24no—
1808C22⋊C4—22no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C42−1+414yes—
1826C42—22no—
1827C42—22no—
1828C42—22no—
1829C42—22no—
1830C42—24no—
1831C42—22no—
1832C42—22no—
1833C42—22no—
1834C42—22no—
1835C42—22no—
1836C42—41no—
1837C42—41no—
1838C42—41no—
1839C42—41no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—41no—
1844C42—41no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—42no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C422−1+414yes—
1865C23—21no—
1866C23—21no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—21no—
1871C23—21no—
1872C23—22no—
1873C23—21no—
1874C23—21no—
1875C23—22no—
1876C23—22no—
1877C23C2×H(5,𝔽2)14yes—
1878C23C2×2−1+412yes—
1879C23C2611yescharacteristic
1880Q8—84no—
1881Q8—82no—
1882Q8—84no—
1883Q8—162no—
1884D4—44no—
1885D4—48no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—44no—
1990C2×C4—48no—
1991C2×C4—44no—
1992C2×C4—48no—
1993C2×C4—48no—
1994C2×C4—82no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—84no—
1998C2×C4—84no—
1999C2×C4—162no—
2000C2×C4—162no—
2001C2×C4C2×H(5,𝔽2)12yes—
2002C2×C4C2×2−1+412yes—
2003C2×C4C2×2−1+412yes—
2004C2×C4C2×2−1+412yes—
2005C2×C4C2×2−1+412yes—
2006C2×C4C2×2−1+412yes—
2007C2×C4#58512yes—
2008C2×C4#58512yes—
2009C22—24no—
2010C22—22no—
2011C22—22no—
2012C22—22no—
2013C22—24no—
2014C22—24no—
2015C22—42no—
2016C22—42no—
2017C22—41no—
2018C22—41no—
2019C22—42no—
2020C22—41no—
2021C22—42no—
2022C22—41no—
2023C22C22×H(5,𝔽2)11yescharacteristic
2024C22C22×2−1+411yescharacteristic
2025C22C22×2−1+411yescharacteristic
2026C22C2×#58511yescharacteristic
2027C22C2×#58511yescharacteristic
2028C222−1+611yescharacteristic
2029C222−1+611yescharacteristic
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—41no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—41no—
2045C4—42no—
2046C4—42no—
2047C4—41no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—41no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—41no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—41no—
2065C4—42no—
2066C4—42no—
2067C2—44no—
2068C2—42no—
2069C2#6283711yescharacteristic
2070C2#6290111yescharacteristic
2071C2#6290911yescharacteristic
2072C2#6291511yescharacteristic
2073C2#6295611yescharacteristic
2074C2#6301311yescharacteristic
2075C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59879C2semidirect
2. #58589C2semidirect
3. #56128C2semidirect
4. #54136C2semidirect
5. #53734C2semidirect
6. #53368C2semidirect
7. #53216C2semidirect
8. #51660C2semidirect
9. #51648C2semidirect
10. #51628C2semidirect
11. #51557C2semidirect
12. #51115C2semidirect
13. #51110C2semidirect
14. #50215C2semidirect
15. #49963C2semidirect
16. #49077C2semidirect
17. #48855C2semidirect
19. #48401C2semidirect
20. #47420C2semidirect
21. #46680C2semidirect
22. #46200C2semidirect
23. #46153C2semidirect
24. #45946C2semidirect
25. #44461C2semidirect
26. #44003C2semidirect
28. #43316C2semidirect
29. #42054C2semidirect
30. #42000C2semidirect
31. #39637C2semidirect
32. #39484C2semidirect
33. #39484C2semidirect
35. #37255C2semidirect
38. #36280C2semidirect
39. #35282C2semidirect

Maximal subgroups

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

subgroupindex
#598792
#585892
#561282
#541362
#537342
#533682
#532162
#516602
#516482
#516282
#515572
#511152
#511102
#502152
#499632
#490772
#488552
#487882
#484012
#474202
#466802
#462002
#461532
#459462
#444612
#440032
#434992
#433162
#420542
#420002
#396372
#394842
#393762
#372552
#371662
#363722
#362802
#352822