Finite Group Databasebeta

← #9243803

Subgroups — #9243803

Order 512.

4125 conjugacy classes of subgroups.

The subgroup lattice has 2041 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59211C211yesmaximal, characteristic, complemented
2#58698C212yesmaximal, complemented
3#57552C212yesmaximal, complemented
4#57379C212yesmaximal, complemented
5#56724C212yesmaximal, complemented
6#56135C212yesmaximal, complemented
7#55923C212yesmaximal, complemented
8#54177C212yesmaximal, complemented
9#54100C212yesmaximal, complemented
10#53854C212yesmaximal, complemented
11#53807C212yesmaximal, complemented
12#53734C212yesmaximal, complemented
13#53692C212yesmaximal, complemented
14#52445C212yesmaximal, complemented
15#52020C212yesmaximal, complemented
16#51836C212yesmaximal, complemented
17#51748C212yesmaximal, complemented
18#49949C212yesmaximal, complemented
19#49479C212yesmaximal, complemented
20#49478C212yesmaximal, complemented
21#48832C212yesmaximal, complemented
22#47972C212yesmaximal, complemented
23#47187C212yesmaximal, complemented
24#46654C212yesmaximal, complemented
25#45784C211yesmaximal, characteristic
26#45413C212yesmaximal, complemented
27#42305C212yesmaximal, complemented
28#42147C212yesmaximal, complemented
29#41692C212yesmaximal, complemented
30#41271C212yesmaximal, complemented
31#39839C211yesmaximal, characteristic, complemented
32#39636C211yesmaximal, characteristic, complemented
33#39353C211yesmaximal, characteristic, complemented
34#37867C211yesmaximal, characteristic, complemented
35#37464C211yesmaximal, characteristic, complemented
36C2×#562C2212yes—
37C2×#552C2212yes—
38C2×#541C2212yes—
39#2857C2211yescharacteristic
40#2854C2211yescharacteristic
41#2844C2212yes—
42#2839C2212yes—
43#2839C2212yes—
44#2839C2212yes—
45#2838C2212yes—
46#2837C2212yes—
47#2836C2212yes—
48#2836C2212yes—
49#2836C2212yes—
50#2835C2212yes—
51#2831C2212yes—
52#2831C2212yes—
53#2830C2212yes—
54#2830C2212yes—
55#2829C2212yes—
56#2824C2212yes—
57#2821C2212yes—
58#2814C2212yes—
59#2814C2212yes—
60#2810C2211yescharacteristic
61#2808C2211yescharacteristic
62#2806C2212yes—
63#2806C2211yescharacteristic
64#2805C2212yes—
65#2805C2212yes—
66#2802C2212yes—
67#2802C2212yes—
68#2802C2212yes—
69#2802C2212yes—
70#2802C2212yes—
71#2800C2212yes—
72#2799C2212yes—
73#2795C2212yes—
74#2794C2212yes—
75#2794C2212yes—
76#2792C2212yes—
77#2792C2212yes—
78#2791C2212yes—
79#2791C2212yes—
80#2791C2212yes—
81#2791C2212yes—
82#2791C2212yes—
83#2790C2212yes—
84#2790C2212yes—
85#2790C2212yes—
86#2790C2212yes—
87#2788C2212yes—
88#2788C2212yes—
89#2787C2212yes—
90#2786C2212yes—
91#2786C2212yes—
92#2783C2212yes—
93#2782C2212yes—
94#2779C2212yes—
95#2779C2212yes—
96#2777C2212yes—
97#2776C2212yes—
98#2775C2212yes—
99#2775C2212yes—
100#2774C2212yes—
101#2774C2212yes—
102#2773C2212yes—
103#2773C2212yes—
104#2772C2212yes—
105#2772C2212yes—
106#2770C2212yes—
107#2769C2212yes—
108#2768C2212yes—
109#2767C2212yes—
110#2762C2212yes—
111#2762C2212yes—
112#2759C2212yes—
113#2755C2212yes—
114#2755C2212yes—
115#2755C2212yes—
116#2754C2212yes—
117#2754C2212yes—
118#2750C2212yes—
119#2747C2212yes—
120#2747C2212yes—
121#2747C2212yes—
122#2746C2212yes—
123#2742C2212yes—
124#2741C2212yes—
125#2741C2212yes—
126#2740C2212yes—
127#2732C2212yes—
128#2732C2212yes—
129#2732C2211yescharacteristic
130#2731C2212yes—
131#2729C2212yes—
132#2729C2212yes—
133#2728C2212yes—
134#2726C2212yes—
135#2726C2212yes—
136#2726C2211yescharacteristic
137#2725C2212yes—
138#2725C2212yes—
139#2725C2212yes—
140#2724C2211yescharacteristic
141#2724C2212yes—
142#2723C2212yes—
143#2723C2212yes—
144#2722C2212yes—
145#2722C2212yes—
146#2721C2212yes—
147#2720C2212yes—
148#2720C2212yes—
149#2720C2212yes—
150#2720C2212yes—
151#2719C2212yes—
152#2719C2212yes—
153#2719C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2718C2212yes—
157#2718C2212yes—
158#2718C2212yes—
159#2718C2212yes—
160#2718C2212yes—
161#2717C2212yes—
162#2715C2212yes—
163#2715C2212yes—
164#2713C2212yes—
165#2713C2212yes—
166#2711C2212yes—
167#2708C2212yes—
168#2707C2212yes—
169#2704C2212yes—
170#2701C2212yes—
171#2698C2212yes—
172#2695C2212yes—
173#2694C2212yes—
174#2694C2212yes—
175#2694C2212yes—
176#2691C2212yes—
177#2691C2212yes—
178#2690C2212yes—
179#2690C2212yes—
180#2690C2212yes—
181#2689C2212yes—
182#2689C2212yes—
183#2689C2212yes—
184#2683C2211yescharacteristic
185#2682C2211yescharacteristic
186#2681C2212yes—
187#2680C2212yes—
188#2680C2212yes—
189#2674C2212yes—
190#2674C2212yes—
191#2671C2212yes—
192#2667C2212yes—
193#2666C2212yes—
194#2666C2212yes—
195#2665C2212yes—
196#2664C2212yes—
197#2663C2212yes—
198#2659C2211yescharacteristic
199#2659C2211yescharacteristic
200#2655C2212yes—
201#2655C2212yes—
202#2655C2212yes—
203#2654C2212yes—
204#2654C2212yes—
205#2653C2212yes—
206#2652C2212yes—
207#2652C2212yes—
208#2652C2212yes—
209#2652C2212yes—
210#2650C2212yes—
211#2649C2212yes—
212#2648C2212yes—
213#2646C2211yescharacteristic
214#2646C2211yescharacteristic
215#2639C2211yescharacteristic
216#2637C2212yes—
217#2634C2212yes—
218#2634C2212yes—
219#2629C2212yes—
220#2627C2211yescharacteristic
221#2625C2212yes—
222#2618C2211yescharacteristic
223#2618C2211yescharacteristic
224#2601C2212yes—
225#2601C2212yes—
226#2599C2212yes—
227#2599C2212yes—
228#2597C2212yes—
229#2596C2212yes—
230#2595C2212yes—
231#2594C2212yes—
232#2590C2212yes—
233#2590C2212yes—
234#2589C2212yes—
235#2589C2212yes—
236#2589C2212yes—
237#2589C2212yes—
238#2587C2212yes—
239#2587C2212yes—
240#2586C2212yes—
241#2585C2212yes—
242#2585C2212yes—
243#2585C2212yes—
244#2585C2212yes—
245#2584C2212yes—
246#2583C2212yes—
247#2583C2212yes—
248#2582C2212yes—
249#2578C2212yes—
250#2577C2212yes—
251#2573C2212yes—
252#2571C2211yescharacteristic
253#2570C2212yes—
254#2569C2212yes—
255#2567C2212yes—
256#2567C2212yes—
257#2564C2212yes—
258#2559C2212yes—
259#2559C2212yes—
260#2559C2212yes—
261#2558C2212yes—
262#2558C2212yes—
263#2557C2212yes—
264#2556C2212yes—
265#2556C2212yes—
266#2556C2212yes—
267#2553C2212yes—
268#2552C2212yes—
269#2552C2211yescharacteristic
270#2552C2212yes—
271#2549C2212yes—
272#2546C2211yescharacteristic
273#2538C2211yescharacteristic
274#2536C2212yes—
275#2525C2212yes—
276#2525C2212yes—
277#2525C2212yes—
278#2522C2212yes—
279#2521C2212yes—
280#2520C2212yes—
281#2520C2212yes—
282#2519C2212yes—
283#2517C2212yes—
284#2517C2212yes—
285#2513C2212yes—
286#2509C2212yes—
287#2506C2212yes—
288#2506C2212yes—
289#2506C2212yes—
290#2506C2212yes—
291#2505C2212yes—
292#2505C2212yes—
293#2500C2212yes—
294#2498C2212yes—
295#2498C2212yes—
296#2496C2212yes—
297#2496C2212yes—
298#2495C2212yes—
299#2494C2212yes—
300#2490C2212yes—
301#2489C2212yes—
302#2488C2212yes—
303#2485C2212yes—
304#2481C2212yes—
305#2481C2212yes—
306#2479C2212yes—
307#2478C2212yes—
308#2478C2212yes—
309#2478C2212yes—
310#2477C2212yes—
311#2476C2212yes—
312#2475C2212yes—
313#2474C2212yes—
314#2474C2212yes—
315#2473C2212yes—
316#2471C2212yes—
317#2470C2212yes—
318#2470C2212yes—
319#2470C2212yes—
320#2470C2212yes—
321#2469C2212yes—
322#2468C2212yes—
323#2466C2212yes—
324#2466C2212yes—
325#2465C2212yes—
326#2465C2212yes—
327#2465C2212yes—
328#2462C2212yes—
329#2462C2212yes—
330#2458C2212yes—
331#2458C2212yes—
332#2453C2212yes—
333#2453C2212yes—
334#2451C2212yes—
335#2450C2212yes—
336#2448C2212yes—
337#2446C2212yes—
338#2443C2212yes—
339#2441C2212yes—
340#2440C2212yes—
341#2438C2212yes—
342#2429C2212yes—
343#2427C2212yes—
344#2425C2212yes—
345#2425C2212yes—
346#2422C2212yes—
347#2421C2212yes—
348#2421C2212yes—
349#2419C2212yes—
350#2413C2212yes—
351#2396C2212yes—
352#2396C2212yes—
353#2383C2212yes—
354#2378C2212yes—
355#2370C2212yes—
356#2368C2212yes—
357#2365C2211yescharacteristic
358#2362C2212yes—
359#2362C2212yes—
360#2360C2212yes—
361#2354C2211yescharacteristic
362Q8×C4⋊C4C2211yescharacteristic
363Q8×C4⋊C4C2211yescharacteristic
364#2347C2212yes—
365#2335C2212yes—
366#2335C2212yes—
367#2329C2212yes—
368#2329C2211yescharacteristic
369#2329C2211yescharacteristic
370#2325C2211yescharacteristic
371#2323C2212yes—
372#2317C2212yes—
373#2316C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×C22⋊Q8C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C2×#387C2211yescharacteristic
378#2285C2211yescharacteristic
379#562—48no—
380#552—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×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453#401C2312yes—
454#401C2312yes—
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#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
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#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
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#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
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#395C2312yes—
649#395C2312yes—
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#395C2312yes—
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#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#392C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2312yes—
717#391C2311yescharacteristic
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#390C2312yes—
723#390C2311yescharacteristic
724#390C2312yes—
725#390C2312yes—
726#390C2311yescharacteristic
727#390C2312yes—
728#390C2311yescharacteristic
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2311yescharacteristic
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2311yescharacteristic
785#389C2312yes—
786#389C2311yescharacteristic
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2311yescharacteristic
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2311yescharacteristic
800#389C2312yes—
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#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#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
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#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
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#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#384C2312yes—
1011#384C2312yes—
1012#384C2312yes—
1013#384C2312yes—
1014#384C2312yes—
1015#384C2311yescharacteristic
1016#384C2312yes—
1017#384C2312yes—
1018#384C2311yescharacteristic
1019#384C2311yescharacteristic
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2311yescharacteristic
1042#380C2311yescharacteristic
1043#380C2312yes—
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2311yescharacteristic
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
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—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C22×Q8C2411yescharacteristic
1102C22×Q8C2412yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2411yescharacteristic
1107C22×D4C2412yes—
1108C22×D4C2412yes—
1109C22×D4C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2411yescharacteristic
1113C23×C4C2411yescharacteristic
1114C23×C4C2412yes—
1115C23×C4C2411yescharacteristic
1116C23×C4C2411yescharacteristic
1117C23×C4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C4⋊Q8—42no—
1127C4⋊Q8—44no—
1128C4⋊Q8—82no—
1129#126—44no—
1130#126—44no—
1131#126—44no—
1132#126—44no—
1133#126—44no—
1134#126—44no—
1135#126—44no—
1136#126—82no—
1137#125—44no—
1138#125—44no—
1139#125—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—82no—
1148#124—44no—
1149#124—44no—
1150#123—28no—
1151#123—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156#123—82no—
1157#123—82no—
1158#123—82no—
1159C22⋊Q8—28no—
1160C22⋊Q8—24no—
1161C22⋊Q8—28no—
1162C22⋊Q8—24no—
1163C22⋊Q8—28no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—82no—
1170C22⋊Q8—82no—
1171C22⋊Q8—82no—
1172#121—24no—
1173#121—42no—
1174#121—44no—
1175#121—44no—
1176#121—44no—
1177C4×Q8—42no—
1178C4×Q8—42no—
1179C4×Q8—44no—
1180C4×Q8—44no—
1181C4×Q8—44no—
1182C4×Q8—82no—
1183C4×Q8—82no—
1184C4×D4—42no—
1185C4×D4—44no—
1186C4×D4—82no—
1187#117—28no—
1188#117—44no—
1189#117—44no—
1190#117—44no—
1191#117—82no—
1192#117—82no—
1193C2×C4⋊C4—24no—
1194C2×C4⋊C4—42no—
1195C2×C4⋊C4—82no—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2411yescharacteristic
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
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⋊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×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C42—42no—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2411yescharacteristic
1373C2×C42C2411yescharacteristic
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2411yescharacteristic
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—
1516C24C2512yes—
1517C24C2511yescharacteristic
1518C2×Q8—22no—
1519C2×Q8—24no—
1520C2×Q8—41no—
1521C2×Q8—41no—
1522C2×Q8—41no—
1523C2×Q8—41no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q82−1+414yes—
1536C2×D4—24no—
1537C2×D4—24no—
1538C2×D4—22no—
1539C2×D4—41no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—41no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—42no—
1546C2×D4—42no—
1547C2×D4—41no—
1548C2×D4—42no—
1549C2×D4—42no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—41no—
1554C22×C4—22no—
1555C22×C4—22no—
1556C22×C4—24no—
1557C22×C4—22no—
1558C22×C4—24no—
1559C22×C4—22no—
1560C22×C4—41no—
1561C22×C4—41no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—41no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—41no—
1572C22×C4—41no—
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—42no—
1576C22×C4—41no—
1577C22×C4—41no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4H(5,𝔽2)14yes—
1593C22×C4C2512yes—
1594C22×C4C2511yescharacteristic
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2511yescharacteristic
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2511yescharacteristic
1621C22×C4C2511yescharacteristic
1622C22×C4C2511yescharacteristic
1623C22×C4C2512yes—
1624C22×C4C2511yescharacteristic
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—22no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—22no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—22no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—41no—
1654C4⋊C4—41no—
1655C4⋊C4—41no—
1656C4⋊C4—42no—
1657C4⋊C4—41no—
1658C4⋊C4—41no—
1659C4⋊C4—41no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—41no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—41no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—41no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—41no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—41no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
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—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—41no—
1738C4⋊C4—41no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
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—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—42no—
1762C22⋊C4—42no—
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—
1797C42—24no—
1798C42—24no—
1799C42—22no—
1800C42—22no—
1801C42—24no—
1802C42—41no—
1803C42—41no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
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—21no—
1828C23—21no—
1829C23—21no—
1830C23—21no—
1831C23—21no—
1832C23—21no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23C2×H(5,𝔽2)12yes—
1848C23C2611yescharacteristic
1849Q8—44no—
1850Q8—44no—
1851Q8—84no—
1852Q8—84no—
1853Q8—84no—
1854Q8—162no—
1855D4—82no—
1856D4—84no—
1857D4—84no—
1858D4—161no—
1859D4—162no—
1860D4—162no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
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—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
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—21no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—44no—
1953C2×C4—48no—
1954C2×C4—44no—
1955C2×C4—82no—
1956C2×C4—82no—
1957C2×C4—84no—
1958C2×C4—82no—
1959C2×C4—84no—
1960C2×C4—161no—
1961C2×C4—161no—
1962C2×C4—162no—
1963C2×C4—162no—
1964C2×C4—162no—
1965C2×C4C2×H(5,𝔽2)12yes—
1966C2×C4C2×H(5,𝔽2)12yes—
1967C2×C4C2×2−1+414yes—
1968C2×C4C2×2−1+412yes—
1969C2×C4#58512yes—
1970C22—22no—
1971C22—22no—
1972C22—22no—
1973C22—41no—
1974C22—41no—
1975C22—41no—
1976C22—41no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22C22×H(5,𝔽2)11yescharacteristic
1992C22C22×2−1+411yescharacteristic
1993C22C2×#58511yescharacteristic
1994C22H(7,𝔽2)11yescharacteristic
1995C222−1+611yescharacteristic
1996C222−1+611yescharacteristic
1997C222−1+611yescharacteristic
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—24no—
2002C4—22no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—41no—
2010C4—42no—
2011C4—42no—
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—41no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C2—42no—
2031C2—82no—
2032C2—82no—
2033C2#6287311yescharacteristic
2034C2#6287811yescharacteristic
2035C2#6290111yescharacteristic
2036C2#6290211yescharacteristic
2037C2#6294611yescharacteristic
2038C2#6297711yescharacteristic
2039C2#6305711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#45784C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59211C2semidirect
2. #58698C2semidirect
3. #57552C2semidirect
4. #57379C2semidirect
5. #56724C2semidirect
6. #56135C2semidirect
7. #55923C2semidirect
8. #54177C2semidirect
9. #54100C2semidirect
10. #53854C2semidirect
11. #53807C2semidirect
12. #53734C2semidirect
13. #53692C2semidirect
14. #52445C2semidirect
15. #52020C2semidirect
16. #51836C2semidirect
17. #51748C2semidirect
18. #49949C2semidirect
19. #49479C2semidirect
20. #49478C2semidirect
21. #48832C2semidirect
22. #47972C2semidirect
23. #47187C2semidirect
24. #46654C2semidirect
26. #45413C2semidirect
27. #42305C2semidirect
28. #42147C2semidirect
29. #41692C2semidirect
30. #41271C2semidirect
31. #39839C2semidirect
32. #39636C2semidirect
33. #39353C2semidirect
34. #37867C2semidirect
35. #37464C2semidirect

Maximal subgroups

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

subgroupindex
#592112
#586982
#575522
#573792
#567242
#561352
#559232
#541772
#541002
#538542
#538072
#537342
#536922
#524452
#520202
#518362
#517482
#499492
#494792
#494782
#488322
#479722
#471872
#466542
#457842
#454132
#423052
#421472
#416922
#412712
#398392
#396362
#393532
#378672
#374642