Finite Group Databasebeta

← #9243663

Subgroups — #9243663

Order 512.

4149 conjugacy classes of subgroups.

The subgroup lattice has 2045 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59213C211yesmaximal, characteristic
2#58429C212yesmaximal, complemented
3#58311C212yesmaximal, complemented
4#58196C212yesmaximal, complemented
5#57610C212yesmaximal, complemented
6#57508C212yesmaximal, complemented
7#57312C212yesmaximal, complemented
8#56891C212yesmaximal, complemented
9#56500C212yesmaximal, complemented
10#55865C212yesmaximal, complemented
11#55540C212yesmaximal, complemented
12#54753C212yesmaximal, complemented
13#54103C212yesmaximal, complemented
14#52428C212yesmaximal, complemented
15#52022C212yesmaximal, complemented
16#51529C212yesmaximal, complemented
17#49495C212yesmaximal, complemented
18#49128C212yesmaximal, complemented
19#49015C212yesmaximal, complemented
20#48806C212yesmaximal, complemented
21#48608C212yesmaximal, complemented
22#47978C212yesmaximal, complemented
23#46675C212yesmaximal, complemented
24#46547C212yesmaximal, complemented
25#45807C211yesmaximal, characteristic, complemented
26#44003C212yesmaximal, complemented
27#42391C212yesmaximal, complemented
28#41406C212yesmaximal, complemented
29#41199C212yesmaximal, complemented
30#41159C212yesmaximal, complemented
31#39610C211yesmaximal, characteristic, complemented
32#39581C211yesmaximal, characteristic, complemented
33#39353C211yesmaximal, characteristic, complemented
34#37886C211yesmaximal, characteristic, complemented
35#37464C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#541C2212yes—
39#2857C2211yescharacteristic
40#2855C2211yescharacteristic
41#2845C2212yes—
42#2843C2212yes—
43#2841C2212yes—
44#2839C2212yes—
45#2839C2212yes—
46#2839C2212yes—
47#2839C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2836C2212yes—
52#2835C2212yes—
53#2831C2212yes—
54#2830C2212yes—
55#2827C2212yes—
56#2822C2212yes—
57#2822C2212yes—
58#2821C2212yes—
59#2816C2212yes—
60#2809C2211yescharacteristic
61#2809C2211yescharacteristic
62#2808C2211yescharacteristic
63#2806C2212yes—
64#2806C2212yes—
65#2805C2211yescharacteristic
66#2804C2212yes—
67#2804C2211yescharacteristic
68#2802C2212yes—
69#2799C2212yes—
70#2798C2212yes—
71#2798C2212yes—
72#2798C2212yes—
73#2796C2212yes—
74#2794C2212yes—
75#2794C2212yes—
76#2794C2212yes—
77#2792C2212yes—
78#2791C2212yes—
79#2791C2212yes—
80#2791C2212yes—
81#2791C2212yes—
82#2790C2212yes—
83#2790C2212yes—
84#2790C2212yes—
85#2788C2212yes—
86#2787C2212yes—
87#2784C2212yes—
88#2782C2212yes—
89#2780C2212yes—
90#2779C2212yes—
91#2779C2212yes—
92#2774C2212yes—
93#2774C2212yes—
94#2770C2212yes—
95#2770C2212yes—
96#2770C2212yes—
97#2769C2212yes—
98#2769C2212yes—
99#2768C2212yes—
100#2767C2212yes—
101#2767C2212yes—
102#2767C2212yes—
103#2767C2212yes—
104#2765C2212yes—
105#2764C2212yes—
106#2764C2212yes—
107#2763C2212yes—
108#2763C2212yes—
109#2762C2212yes—
110#2762C2212yes—
111#2761C2212yes—
112#2758C2212yes—
113#2758C2212yes—
114#2758C2212yes—
115#2757C2212yes—
116#2755C2212yes—
117#2755C2212yes—
118#2755C2212yes—
119#2754C2212yes—
120#2750C2212yes—
121#2750C2212yes—
122#2747C2212yes—
123#2747C2212yes—
124#2747C2212yes—
125#2744C2212yes—
126#2742C2212yes—
127#2741C2212yes—
128#2739C2212yes—
129#2738C2212yes—
130#2738C2212yes—
131#2738C2212yes—
132#2734C2212yes—
133#2729C2212yes—
134#2728C2212yes—
135#2727C2211yescharacteristic
136#2726C2212yes—
137#2726C2212yes—
138#2726C2211yescharacteristic
139#2724C2211yescharacteristic
140#2723C2212yes—
141#2722C2212yes—
142#2722C2212yes—
143#2722C2212yes—
144#2721C2212yes—
145#2721C2212yes—
146#2721C2212yes—
147#2720C2212yes—
148#2720C2212yes—
149#2720C2212yes—
150#2719C2212yes—
151#2719C2212yes—
152#2719C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2719C2212yes—
157#2716C2212yes—
158#2716C2212yes—
159#2716C2212yes—
160#2713C2212yes—
161#2711C2212yes—
162#2711C2212yes—
163#2708C2212yes—
164#2708C2212yes—
165#2708C2212yes—
166#2708C2212yes—
167#2708C2212yes—
168#2704C2212yes—
169#2702C2212yes—
170#2702C2212yes—
171#2702C2212yes—
172#2698C2212yes—
173#2698C2212yes—
174#2698C2212yes—
175#2695C2212yes—
176#2695C2212yes—
177#2692C2212yes—
178#2692C2212yes—
179#2691C2212yes—
180#2691C2212yes—
181#2690C2212yes—
182#2690C2212yes—
183#2690C2212yes—
184#2689C2212yes—
185#2689C2212yes—
186#2689C2212yes—
187#2687C2212yes—
188#2687C2212yes—
189#2680C2212yes—
190#2680C2212yes—
191#2677C2212yes—
192#2666C2212yes—
193#2666C2212yes—
194#2666C2212yes—
195#2665C2212yes—
196#2665C2212yes—
197#2664C2212yes—
198#2659C2211yescharacteristic
199#2659C2211yescharacteristic
200#2659C2211yescharacteristic
201#2654C2212yes—
202#2653C2212yes—
203#2652C2212yes—
204#2652C2212yes—
205#2650C2212yes—
206#2650C2212yes—
207#2649C2212yes—
208#2646C2212yes—
209#2646C2211yescharacteristic
210#2646C2212yes—
211#2639C2212yes—
212#2639C2211yescharacteristic
213#2638C2212yes—
214#2637C2212yes—
215#2637C2212yes—
216#2634C2212yes—
217#2633C2212yes—
218#2633C2212yes—
219#2627C2211yescharacteristic
220#2627C2212yes—
221#2627C2211yescharacteristic
222#2625C2212yes—
223#2618C2211yescharacteristic
224#2611C2212yes—
225#2607C2212yes—
226#2605C2212yes—
227#2604C2212yes—
228#2601C2212yes—
229#2601C2212yes—
230#2599C2212yes—
231#2595C2212yes—
232#2591C2212yes—
233#2590C2212yes—
234#2589C2212yes—
235#2589C2212yes—
236#2585C2212yes—
237#2583C2212yes—
238#2580C2212yes—
239#2579C2212yes—
240#2578C2212yes—
241#2578C2212yes—
242#2578C2212yes—
243#2577C2212yes—
244#2577C2212yes—
245#2577C2212yes—
246#2577C2212yes—
247#2574C2212yes—
248#2574C2212yes—
249#2569C2212yes—
250#2564C2212yes—
251#2564C2212yes—
252#2563C2212yes—
253#2559C2212yes—
254#2559C2212yes—
255#2556C2212yes—
256#2553C2212yes—
257#2553C2212yes—
258#2552C2211yescharacteristic
259#2552C2211yescharacteristic
260#2552C2212yes—
261#2546C2211yescharacteristic
262#2537C2211yescharacteristic
263#2537C2212yes—
264#2536C2212yes—
265#2533C2212yes—
266#2528C2212yes—
267#2524C2212yes—
268#2524C2212yes—
269#2523C2212yes—
270#2522C2212yes—
271#2520C2212yes—
272#2520C2212yes—
273#2520C2212yes—
274#2518C2212yes—
275#2515C2212yes—
276#2511C2212yes—
277#2511C2212yes—
278#2507C2212yes—
279#2506C2212yes—
280#2505C2212yes—
281#2505C2212yes—
282#2505C2212yes—
283#2505C2212yes—
284#2502C2212yes—
285#2502C2212yes—
286#2496C2212yes—
287#2496C2212yes—
288#2496C2212yes—
289#2495C2212yes—
290#2493C2212yes—
291#2489C2212yes—
292#2488C2212yes—
293#2486C2212yes—
294#2485C2212yes—
295#2484C2212yes—
296#2481C2212yes—
297#2479C2212yes—
298#2477C2212yes—
299#2477C2212yes—
300#2477C2212yes—
301#2473C2212yes—
302#2473C2212yes—
303#2473C2212yes—
304#2473C2212yes—
305#2473C2212yes—
306#2473C2212yes—
307#2473C2212yes—
308#2473C2212yes—
309#2468C2212yes—
310#2468C2212yes—
311#2468C2212yes—
312#2468C2212yes—
313#2468C2212yes—
314#2468C2212yes—
315#2466C2212yes—
316#2466C2212yes—
317#2466C2212yes—
318#2465C2212yes—
319#2465C2212yes—
320#2462C2212yes—
321#2462C2212yes—
322#2462C2212yes—
323#2460C2212yes—
324#2460C2212yes—
325#2460C2212yes—
326#2453C2212yes—
327#2453C2212yes—
328#2450C2212yes—
329#2450C2212yes—
330#2450C2212yes—
331#2450C2212yes—
332#2449C2212yes—
333#2449C2212yes—
334#2449C2212yes—
335#2446C2212yes—
336#2446C2212yes—
337#2444C2212yes—
338#2444C2212yes—
339#2443C2212yes—
340#2443C2212yes—
341#2442C2212yes—
342#2442C2212yes—
343#2442C2212yes—
344#2442C2212yes—
345#2438C2212yes—
346#2438C2212yes—
347#2421C2212yes—
348#2420C2212yes—
349#2419C2212yes—
350#2417C2212yes—
351#2398C2212yes—
352C2×#398C2212yes—
353#2383C2212yes—
354#2378C2212yes—
355#2377C2212yes—
356#2368C2212yes—
357#2365C2211yescharacteristic
358#2361C2212yes—
359#2359C2212yes—
360#2359C2212yes—
361Q8×C4⋊C4C2211yescharacteristic
362D4×C4⋊C4C2211yescharacteristic
363D4×C4⋊C4C2211yescharacteristic
364#2343C2212yes—
365#2334C2212yes—
366#2333C2212yes—
367#2329C2211yescharacteristic
368#2325C2211yescharacteristic
369#2325C2211yescharacteristic
370#2322C2212yes—
371#2318C2212yes—
372#2317C2212yes—
373#2313C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×#121C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#387C2211yescharacteristic
378#2285C2211yescharacteristic
379#554—48no—
380#553—48no—
381#541—48no—
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453#401C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
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#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#398C2312yes—
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#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2311yescharacteristic
729#390C2312yes—
730#390C2312yes—
731#390C2311yescharacteristic
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2311yescharacteristic
751#389C2312yes—
752#389C2312yes—
753#389C2311yescharacteristic
754#389C2312yes—
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2311yescharacteristic
777#389C2312yes—
778#389C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
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#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
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#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
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#384C2312yes—
997#384C2312yes—
998#384C2312yes—
999#384C2311yescharacteristic
1000#384C2311yescharacteristic
1001#384C2312yes—
1002#384C2312yes—
1003#384C2311yescharacteristic
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093#376C2312yes—
1094C2×#95C2311yescharacteristic
1095C2×#95C2311yescharacteristic
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2411yescharacteristic
1113C23×C4C2412yes—
1114C23×C4C2411yescharacteristic
1115C23×C4C2412yes—
1116C23×C4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2411yescharacteristic
1128C23×C4C2411yescharacteristic
1129C23×C4C2411yescharacteristic
1130C4⋊Q8—42no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—82no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—82no—
1151#125—82no—
1152#125—82no—
1153#123—28no—
1154#123—44no—
1155#123—44no—
1156#123—82no—
1157C22⋊Q8—24no—
1158C22⋊Q8—28no—
1159C22⋊Q8—44no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—42no—
1165C22⋊Q8—44no—
1166C22⋊Q8—82no—
1167C22⋊Q8—82no—
1168C22⋊Q8—82no—
1169C22⋊Q8—82no—
1170#121—24no—
1171#121—28no—
1172#121—24no—
1173#121—44no—
1174#121—44no—
1175#121—44no—
1176C4×Q8—42no—
1177C4×Q8—44no—
1178C4×Q8—44no—
1179C4×Q8—44no—
1180C4×D4—28no—
1181C4×D4—42no—
1182C4×D4—42no—
1183C4×D4—44no—
1184C4×D4—44no—
1185C4×D4—44no—
1186C4×D4—44no—
1187C4×D4—44no—
1188C4×D4—82no—
1189C4×D4—82no—
1190#117—28no—
1191#117—44no—
1192#117—82no—
1193C2×C4⋊C4—24no—
1194C2×C4⋊C4—42no—
1195C2×C4⋊C4—44no—
1196C2×C4⋊C4—44no—
1197C2×C4⋊C4—82no—
1198C2×C4⋊C4—82no—
1199C2×C4⋊C4—82no—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2411yescharacteristic
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2411yescharacteristic
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C42—42no—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2411yescharacteristic
1370C2×C42C2411yescharacteristic
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2411yescharacteristic
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2411yescharacteristic
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
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#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
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—
1515C24C2512yes—
1516C24C2511yescharacteristic
1517C24C2512yes—
1518C2×Q8—22no—
1519C2×Q8—24no—
1520C2×Q8—41no—
1521C2×Q8—41no—
1522C2×Q8—42no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—42no—
1528C2×Q8—41no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—41no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—41no—
1536C2×D4—24no—
1537C2×D4—24no—
1538C2×D4—24no—
1539C2×D4—24no—
1540C2×D4—24no—
1541C2×D4—22no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—42no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—42no—
1550C2×D4—42no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D42−1+414yes—
1554C22×C4—24no—
1555C22×C4—22no—
1556C22×C4—22no—
1557C22×C4—24no—
1558C22×C4—22no—
1559C22×C4—24no—
1560C22×C4—22no—
1561C22×C4—41no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—42no—
1567C22×C4—41no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—41no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—41no—
1597C22×C4—41no—
1598C22×C4—41no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—41no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4H(5,𝔽2)14yes—
1605C22×C4C2512yes—
1606C22×C4C2511yescharacteristic
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2511yescharacteristic
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2511yescharacteristic
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C22×C4C2511yescharacteristic
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—22no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—22no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—22no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—41no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—41no—
1673C4⋊C4—41no—
1674C4⋊C4—41no—
1675C4⋊C4—42no—
1676C4⋊C4—41no—
1677C4⋊C4—41no—
1678C4⋊C4—41no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—41no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—41no—
1702C4⋊C4—41no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
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—41no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
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—41no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—41no—
1745C4⋊C4—41no—
1746C4⋊C4—41no—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C42—24no—
1802C42—24no—
1803C42—24no—
1804C42—22no—
1805C42—22no—
1806C42—24no—
1807C42—41no—
1808C42—41no—
1809C42—42no—
1810C42—42no—
1811C42—42no—
1812C42—42no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—42no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C23—22no—
1828C23—21no—
1829C23—22no—
1830C23—21no—
1831C23—21no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—21no—
1836C23—22no—
1837C23—21no—
1838C23—21no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23C2×H(5,𝔽2)12yes—
1847C23C2×2−1+414yes—
1848C23C2611yescharacteristic
1849Q8—44no—
1850Q8—84no—
1851Q8—84no—
1852Q8—162no—
1853Q8—161no—
1854Q8—162no—
1855D4—44no—
1856D4—44no—
1857D4—48no—
1858D4—84no—
1859D4—84no—
1860D4—84no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
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—21no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
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—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—22no—
1943C2×C4—22no—
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—44no—
1954C2×C4—48no—
1955C2×C4—82no—
1956C2×C4—84no—
1957C2×C4—82no—
1958C2×C4—84no—
1959C2×C4—82no—
1960C2×C4—82no—
1961C2×C4—84no—
1962C2×C4—84no—
1963C2×C4—161no—
1964C2×C4—161no—
1965C2×C4—162no—
1966C2×C4—162no—
1967C2×C4—162no—
1968C2×C4—162no—
1969C2×C4—162no—
1970C2×C4C2×H(5,𝔽2)12yes—
1971C2×C4C2×H(5,𝔽2)12yes—
1972C2×C4C2×2−1+412yes—
1973C2×C4#58512yes—
1974C22—24no—
1975C22—22no—
1976C22—22no—
1977C22—24no—
1978C22—22no—
1979C22—24no—
1980C22—42no—
1981C22—41no—
1982C22—41no—
1983C22—41no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—41no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22C22×H(5,𝔽2)11yescharacteristic
1996C22C22×2−1+411yescharacteristic
1997C22C2×#58511yescharacteristic
1998C22H(7,𝔽2)11yescharacteristic
1999C222−1+611yescharacteristic
2000C222−1+611yescharacteristic
2001C222−1+611yescharacteristic
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—42no—
2011C4—41no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—41no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C2—44no—
2035C2—42no—
2036C2—82no—
2037C2#6287311yescharacteristic
2038C2#6287811yescharacteristic
2039C2#6290111yescharacteristic
2040C2#6290211yescharacteristic
2041C2#6294211yescharacteristic
2042C2#6297811yescharacteristic
2043C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59213C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #58429C2semidirect
3. #58311C2semidirect
4. #58196C2semidirect
5. #57610C2semidirect
6. #57508C2semidirect
7. #57312C2semidirect
8. #56891C2semidirect
9. #56500C2semidirect
10. #55865C2semidirect
11. #55540C2semidirect
12. #54753C2semidirect
13. #54103C2semidirect
14. #52428C2semidirect
15. #52022C2semidirect
16. #51529C2semidirect
17. #49495C2semidirect
18. #49128C2semidirect
19. #49015C2semidirect
20. #48806C2semidirect
21. #48608C2semidirect
22. #47978C2semidirect
23. #46675C2semidirect
24. #46547C2semidirect
25. #45807C2semidirect
26. #44003C2semidirect
27. #42391C2semidirect
28. #41406C2semidirect
29. #41199C2semidirect
30. #41159C2semidirect
31. #39610C2semidirect
32. #39581C2semidirect
33. #39353C2semidirect
34. #37886C2semidirect
35. #37464C2semidirect

Maximal subgroups

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

subgroupindex
#592132
#584292
#583112
#581962
#576102
#575082
#573122
#568912
#565002
#558652
#555402
#547532
#541032
#524282
#520222
#515292
#494952
#491282
#490152
#488062
#486082
#479782
#466752
#465472
#458072
#440032
#423912
#414062
#411992
#411592
#396102
#395812
#393532
#378862
#374642