Finite Group Databasebeta

← #9065557

Subgroups — #9065557

Order 512.

4380 conjugacy classes of subgroups.

The subgroup lattice has 2079 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58911C212yesmaximal, complemented
2#57241C212yesmaximal, complemented
3#54247C212yesmaximal, complemented
4#53642C211yesmaximal, characteristic, complemented
5#53590C212yesmaximal, complemented
6#51216C212yesmaximal, complemented
7#50943C212yesmaximal, complemented
8#50254C212yesmaximal, complemented
9#50169C211yesmaximal, characteristic, complemented
10#50129C212yesmaximal, complemented
11#49958C212yesmaximal, complemented
12#49478C212yesmaximal, complemented
13#49303C212yesmaximal, complemented
14#49032C211yesmaximal, characteristic, complemented
15#48627C212yesmaximal, complemented
16#45110C212yesmaximal, complemented
17#44748C212yesmaximal, complemented
18#44711C212yesmaximal, complemented
19#44520C212yesmaximal, complemented
20#43529C212yesmaximal, complemented
21#43497C211yesmaximal, characteristic, complemented
22#43409C212yesmaximal, complemented
23#43408C212yesmaximal, complemented
24#43404C211yesmaximal, characteristic
25#43044C212yesmaximal, complemented
26#42514C212yesmaximal, complemented
27#42133C212yesmaximal, complemented
28#41770C212yesmaximal, complemented
29#40990C211yesmaximal, characteristic, complemented
30#40865C212yesmaximal, complemented
31#36003C212yesmaximal, complemented
32#35926C211yesmaximal, characteristic, complemented
33#35899C212yesmaximal, complemented
34#35858C212yesmaximal, complemented
35#35727C212yesmaximal, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#552C2211yescharacteristic
39C2×#544C2211yescharacteristic
40C2×#539C2211yescharacteristic
41#2841C2211yescharacteristic
42#2838C2212yes—
43#2838C2212yes—
44#2838C2212yes—
45#2834C2211yescharacteristic
46#2833C2212yes—
47#2832C2211yescharacteristic
48#2831C2212yes—
49#2822C2212yes—
50#2802C2212yes—
51#2800C2212yes—
52#2797C2212yes—
53#2797C2212yes—
54#2792C2212yes—
55#2792C2212yes—
56#2792C2212yes—
57#2790C2212yes—
58#2790C2212yes—
59#2788C2212yes—
60#2787C2212yes—
61#2787C2212yes—
62#2782C2212yes—
63#2780C2212yes—
64#2778C2212yes—
65#2774C2212yes—
66#2773C2212yes—
67#2770C2212yes—
68#2768C2212yes—
69#2768C2212yes—
70#2768C2212yes—
71#2767C2212yes—
72#2765C2212yes—
73#2765C2212yes—
74#2765C2212yes—
75#2765C2212yes—
76#2757C2212yes—
77#2755C2212yes—
78#2755C2212yes—
79#2750C2212yes—
80#2747C2212yes—
81#2746C2212yes—
82#2746C2212yes—
83#2746C2212yes—
84#2745C2212yes—
85#2744C2212yes—
86#2741C2212yes—
87#2740C2212yes—
88#2740C2212yes—
89#2739C2212yes—
90#2734C2211yescharacteristic
91#2732C2212yes—
92#2732C2212yes—
93#2732C2212yes—
94#2729C2212yes—
95#2729C2212yes—
96#2729C2212yes—
97#2728C2211yescharacteristic
98#2726C2212yes—
99#2726C2212yes—
100#2726C2212yes—
101#2725C2212yes—
102#2725C2212yes—
103#2725C2212yes—
104#2724C2212yes—
105#2722C2212yes—
106#2721C2212yes—
107#2721C2212yes—
108#2721C2212yes—
109#2721C2212yes—
110#2720C2212yes—
111#2720C2212yes—
112#2720C2212yes—
113#2720C2212yes—
114#2720C2212yes—
115#2720C2212yes—
116#2719C2212yes—
117#2719C2212yes—
118#2717C2211yescharacteristic
119#2717C2212yes—
120#2717C2211yescharacteristic
121#2717C2212yes—
122#2713C2212yes—
123#2713C2212yes—
124#2707C2212yes—
125#2707C2212yes—
126#2707C2212yes—
127#2706C2212yes—
128#2704C2212yes—
129#2704C2212yes—
130#2698C2212yes—
131#2698C2212yes—
132#2698C2212yes—
133#2695C2212yes—
134#2694C2212yes—
135#2694C2212yes—
136#2693C2211yescharacteristic
137#2692C2212yes—
138#2692C2212yes—
139#2692C2212yes—
140#2691C2212yes—
141#2691C2212yes—
142#2687C2212yes—
143#2687C2212yes—
144#2680C2212yes—
145#2677C2212yes—
146#2675C2211yescharacteristic
147#2672C2212yes—
148#2672C2212yes—
149#2666C2212yes—
150#2664C2212yes—
151#2660C2212yes—
152#2660C2211yescharacteristic
153#2655C2212yes—
154#2655C2212yes—
155#2654C2212yes—
156#2654C2212yes—
157#2654C2212yes—
158#2653C2212yes—
159#2652C2212yes—
160#2652C2212yes—
161#2651C2212yes—
162#2650C2212yes—
163#2647C2212yes—
164#2646C2212yes—
165#2646C2212yes—
166#2645C2212yes—
167#2638C2211yescharacteristic
168#2636C2212yes—
169#2630C2212yes—
170#2630C2212yes—
171#2625C2211yescharacteristic
172#2623C2212yes—
173#2612C2212yes—
174#2611C2212yes—
175#2606C2212yes—
176#2603C2212yes—
177#2603C2212yes—
178#2602C2212yes—
179#2602C2212yes—
180#2601C2212yes—
181#2600C2211yescharacteristic
182#2597C2212yes—
183#2596C2212yes—
184#2596C2212yes—
185#2594C2212yes—
186#2594C2212yes—
187#2590C2212yes—
188#2590C2212yes—
189#2587C2212yes—
190#2587C2212yes—
191#2586C2211yescharacteristic
192#2585C2212yes—
193#2584C2212yes—
194#2583C2212yes—
195#2579C2212yes—
196#2579C2211yescharacteristic
197#2577C2212yes—
198#2576C2212yes—
199#2570C2212yes—
200#2569C2212yes—
201#2569C2212yes—
202#2566C2212yes—
203#2562C2211yescharacteristic
204#2559C2212yes—
205#2559C2212yes—
206#2559C2212yes—
207#2558C2212yes—
208#2558C2212yes—
209#2556C2212yes—
210#2556C2212yes—
211#2556C2212yes—
212#2554C2212yes—
213#2552C2212yes—
214#2552C2212yes—
215#2550C2212yes—
216#2550C2212yes—
217#2549C2212yes—
218#2547C2211yescharacteristic
219#2543C2211yescharacteristic
220#2538C2212yes—
221#2538C2212yes—
222#2536C2212yes—
223#2535C2212yes—
224#2531C2212yes—
225#2530C2212yes—
226#2530C2212yes—
227#2529C2212yes—
228#2529C2212yes—
229#2529C2212yes—
230#2528C2212yes—
231#2528C2212yes—
232#2528C2212yes—
233#2528C2212yes—
234#2528C2212yes—
235#2528C2212yes—
236#2526C2212yes—
237#2522C2212yes—
238#2522C2212yes—
239#2519C2212yes—
240#2517C2211yescharacteristic
241#2508C2212yes—
242#2508C2212yes—
243#2507C2212yes—
244#2507C2212yes—
245#2507C2212yes—
246#2506C2212yes—
247#2506C2212yes—
248#2505C2212yes—
249#2505C2212yes—
250#2504C2212yes—
251#2501C2212yes—
252#2501C2211yescharacteristic
253#2497C2212yes—
254#2494C2212yes—
255#2493C2212yes—
256#2491C2212yes—
257#2490C2212yes—
258#2489C2212yes—
259#2488C2212yes—
260#2488C2212yes—
261#2487C2212yes—
262#2484C2211yescharacteristic
263#2481C2212yes—
264#2479C2212yes—
265#2478C2212yes—
266#2475C2212yes—
267#2473C2212yes—
268#2473C2212yes—
269#2473C2212yes—
270#2473C2212yes—
271#2473C2212yes—
272#2473C2212yes—
273#2473C2212yes—
274#2473C2212yes—
275#2470C2212yes—
276#2470C2212yes—
277#2468C2212yes—
278#2468C2212yes—
279#2468C2212yes—
280#2468C2212yes—
281#2466C2212yes—
282#2464C2212yes—
283#2463C2211yescharacteristic
284#2463C2212yes—
285#2462C2212yes—
286#2462C2212yes—
287#2462C2212yes—
288#2461C2212yes—
289#2461C2212yes—
290#2461C2212yes—
291#2461C2212yes—
292#2460C2212yes—
293#2460C2212yes—
294#2457C2212yes—
295#2456C2212yes—
296#2456C2212yes—
297#2455C2212yes—
298#2455C2211yescharacteristic
299#2455C2212yes—
300#2454C2212yes—
301#2453C2212yes—
302#2452C2212yes—
303#2450C2212yes—
304#2450C2212yes—
305#2449C2212yes—
306#2449C2212yes—
307#2449C2212yes—
308#2449C2212yes—
309#2449C2212yes—
310#2446C2212yes—
311#2444C2212yes—
312#2442C2212yes—
313#2442C2212yes—
314#2442C2212yes—
315#2441C2212yes—
316#2440C2212yes—
317#2439C2212yes—
318#2429C2212yes—
319#2429C2212yes—
320#2429C2212yes—
321#2425C2212yes—
322#2425C2212yes—
323#2423C2212yes—
324#2417C2212yes—
325#2413C2212yes—
326#2413C2212yes—
327#2402C2212yes—
328#2402C2212yes—
329#2401C2212yes—
330#2398C2212yes—
331#2397C2211yescharacteristic
332#2396C2212yes—
333#2392C2212yes—
334#2392C2212yes—
335C2×#398C2212yes—
336C2×#398C2211yescharacteristic
337#2383C2212yes—
338#2379C2211yescharacteristic
339#2378C2211yescharacteristic
340#2376C2212yes—
341#2373C2212yes—
342#2373C2212yes—
343#2373C2212yes—
344#2373C2212yes—
345#2372C2211yescharacteristic
346#2370C2212yes—
347#2368C2212yes—
348#2368C2211yescharacteristic
349#2367C2212yes—
350#2365C2212yes—
351#2364C2212yes—
352#2363C2212yes—
353#2362C2212yes—
354#2362C2212yes—
355#2361C2212yes—
356#2361C2212yes—
357#2359C2212yes—
358#2355C2212yes—
359#2352C2212yes—
360#2349C2212yes—
361#2349C2212yes—
362D4×C4⋊C4C2212yes—
363D4×C4⋊C4C2212yes—
364D4×C4⋊C4C2212yes—
365D4×C4⋊C4C2212yes—
366#2346C2212yes—
367#2334C2212yes—
368#2334C2212yes—
369#2330C2212yes—
370#2329C2212yes—
371#2325C2212yes—
372#2324C2212yes—
373#2322C2211yescharacteristic
374#2322C2212yes—
375#2322C2212yes—
376#2319C2212yes—
377#2276C2211yescharacteristic
378#2275C2212yes—
379#554—44no—
380#554—48no—
381#552—44no—
382#544—44no—
383#539—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2311yescharacteristic
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#124C2312yes—
408C2×#124C2311yescharacteristic
409C2×#124C2311yescharacteristic
410C2×#123C2311yescharacteristic
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2311yescharacteristic
465C2×#117C2312yes—
466C22×C4⋊C4C2311yescharacteristic
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2312yes—
475#401C2312yes—
476#401C2312yes—
477#401C2312yes—
478#401C2312yes—
479#401C2312yes—
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#399C2311yescharacteristic
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2311yescharacteristic
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
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#398C2311yescharacteristic
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#398C2311yescharacteristic
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#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2311yescharacteristic
602#397C2311yescharacteristic
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#396C2312yes—
649#395C2312yes—
650#395C2311yescharacteristic
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#394C2312yes—
666#394C2312yes—
667#394C2311yescharacteristic
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#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2311yescharacteristic
688#393C2312yes—
689#393C2312yes—
690#392C2311yescharacteristic
691#392C2312yes—
692#392C2312yes—
693#392C2311yescharacteristic
694#392C2312yes—
695#392C2312yes—
696#392C2311yescharacteristic
697#391C2312yes—
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2311yescharacteristic
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
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#389C2312yes—
739#389C2312yes—
740#389C2312yes—
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#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
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#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#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#386C2312yes—
917#386C2312yes—
918#386C2311yescharacteristic
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2311yescharacteristic
923#386C2311yescharacteristic
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#385C2311yescharacteristic
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2311yescharacteristic
962#385C2311yescharacteristic
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#385C2312yes—
997#384C2312yes—
998#384C2312yes—
999#384C2312yes—
1000#384C2312yes—
1001#384C2312yes—
1002#384C2312yes—
1003#384C2312yes—
1004#383C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2311yescharacteristic
1020#381C2312yes—
1021#381C2312yes—
1022#381C2311yescharacteristic
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2311yescharacteristic
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046C4×C4⋊C4C2311yescharacteristic
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2311yescharacteristic
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—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C4⋊Q8—28no—
1137C4⋊Q8—42no—
1138C4⋊Q8—44no—
1139C4⋊Q8—82no—
1140#126—28no—
1141#126—28no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—82no—
1146#125—44no—
1147#125—42no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—82no—
1157#125—82no—
1158#125—82no—
1159#124—42no—
1160#124—44no—
1161#124—42no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—42no—
1170#123—82no—
1171#123—82no—
1172C22⋊Q8—24no—
1173C22⋊Q8—28no—
1174C22⋊Q8—24no—
1175C22⋊Q8—28no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—42no—
1186C22⋊Q8—82no—
1187C22⋊Q8—82no—
1188#121—28no—
1189#121—28no—
1190#121—42no—
1191#121—82no—
1192#121—82no—
1193C4×Q8—24no—
1194C4×Q8—44no—
1195C4×Q8—44no—
1196C4×Q8—44no—
1197C4×D4—28no—
1198C4×D4—44no—
1199C4×D4—44no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—42no—
1206C4×D4—42no—
1207C4×D4—44no—
1208C4×D4—44no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—82no—
1214#117—44no—
1215#117—44no—
1216#117—44no—
1217#117—42no—
1218C2×C4⋊C4—42no—
1219C2×C4⋊C4—42no—
1220C2×C4⋊C4—42no—
1221C2×C4⋊C4—44no—
1222C2×C4⋊C4—44no—
1223C2×C4⋊C4—44no—
1224C2×C4⋊C4—82no—
1225C2×C4⋊C4—82no—
1226C2×C4⋊C4—82no—
1227C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
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⋊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⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
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×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
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×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⋊C4C2411yescharacteristic
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2411yescharacteristic
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
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×C42C2411yescharacteristic
1421C2×C42C2412yes—
1422C2×C42C2411yescharacteristic
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2411yescharacteristic
1436#95C2411yescharacteristic
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2411yescharacteristic
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2411yescharacteristic
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—
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#95C2411yescharacteristic
1528#95C2411yescharacteristic
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537C24C2511yescharacteristic
1538C24C2512yes—
1539C24C2512yes—
1540C24C2511yescharacteristic
1541C2×Q8—24no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8H(5,𝔽2)14yes—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—24no—
1564C2×D4—22no—
1565C2×D4—24no—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—42no—
1569C2×D4—41no—
1570C2×D4—42no—
1571C2×D4—41no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—41no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—41no—
1581C2×D4—42no—
1582C22×C4—24no—
1583C22×C4—24no—
1584C22×C4—22no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—22no—
1588C22×C4—22no—
1589C22×C4—24no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—41no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—41no—
1597C22×C4—42no—
1598C22×C4—41no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
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—41no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4C2511yescharacteristic
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2511yescharacteristic
1648C22×C4C2511yescharacteristic
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2511yescharacteristic
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C4⋊C4—22no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—22no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—22no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—42no—
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—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—42no—
1721C4⋊C4—41no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—41no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
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—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
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—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—22no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—42no—
1788C22⋊C4—41no—
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—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—41no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—41no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
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—41no—
1823C22⋊C4—41no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C42−1+418yes—
1832C42—24no—
1833C42—24no—
1834C42—22no—
1835C42—24no—
1836C42—24no—
1837C42—24no—
1838C42—24no—
1839C42—24no—
1840C42—24no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42—42no—
1852C42—42no—
1853C42—42no—
1854C42—42no—
1855C42—41no—
1856C42—42no—
1857C42—41no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C23—22no—
1863C23—21no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—21no—
1872C23—21no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—21no—
1881C23—22no—
1882C23—22no—
1883C23—21no—
1884C23C2×2−1+414yes—
1885C23#58512yes—
1886C23C2611yescharacteristic
1887Q8—44no—
1888Q8—84no—
1889Q8—84no—
1890Q8—161no—
1891Q8—161no—
1892Q8—161no—
1893D4—216no—
1894D4—48no—
1895D4—44no—
1896D4—84no—
1897D4—84no—
1898D4—82no—
1899D4—84no—
1900D4—84no—
1901D4—161no—
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—21no—
1912C2×C4—22no—
1913C2×C4—21no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—21no—
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—22no—
1941C2×C4—22no—
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—21no—
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—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—44no—
1987C2×C4—84no—
1988C2×C4—82no—
1989C2×C4—82no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—84no—
1994C2×C4—82no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—84no—
1998C2×C4—162no—
1999C2×C4—161no—
2000C2×C4—162no—
2001C2×C4—161no—
2002C2×C4—162no—
2003C2×C4—162no—
2004C2×C4C2×H(5,𝔽2)14yes—
2005C2×C4C2×H(5,𝔽2)12yes—
2006C2×C4C2×2−1+414yes—
2007C2×C4C2×2−1+414yes—
2008C2×C4#58514yes—
2009C22—24no—
2010C22—24no—
2011C22—24no—
2012C22—22no—
2013C22—24no—
2014C22—41no—
2015C22—42no—
2016C22—41no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—41no—
2022C22—42no—
2023C22—42no—
2024C22—41no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—41no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22C22×H(5,𝔽2)11yescharacteristic
2034C22C22×2−1+412yes—
2035C22C2×#58512yes—
2036C22C2×#58511yescharacteristic
2037C22H(7,𝔽2)11yescharacteristic
2038C4—24no—
2039C4—22no—
2040C4—24no—
2041C4—24no—
2042C4—24no—
2043C4—42no—
2044C4—41no—
2045C4—42no—
2046C4—42no—
2047C4—41no—
2048C4—41no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—41no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—42no—
2068C4—42no—
2069C2—44no—
2070C2—42no—
2071C2—81no—
2072C2—82no—
2073C2#6282211yescharacteristic
2074C2#6282512yes—
2075C2#6289911yescharacteristic
2076C2#6295112yes—
2077C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#43404C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58911C2semidirect
2. #57241C2semidirect
3. #54247C2semidirect
4. #53642C2semidirect
5. #53590C2semidirect
6. #51216C2semidirect
7. #50943C2semidirect
8. #50254C2semidirect
9. #50169C2semidirect
10. #50129C2semidirect
11. #49958C2semidirect
12. #49478C2semidirect
13. #49303C2semidirect
14. #49032C2semidirect
15. #48627C2semidirect
16. #45110C2semidirect
17. #44748C2semidirect
18. #44711C2semidirect
19. #44520C2semidirect
20. #43529C2semidirect
21. #43497C2semidirect
22. #43409C2semidirect
23. #43408C2semidirect
25. #43044C2semidirect
26. #42514C2semidirect
27. #42133C2semidirect
28. #41770C2semidirect
29. #40990C2semidirect
30. #40865C2semidirect
31. #36003C2semidirect
32. #35926C2semidirect
33. #35899C2semidirect
34. #35858C2semidirect
35. #35727C2semidirect

Maximal subgroups

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

subgroupindex
#589112
#572412
#542472
#536422
#535902
#512162
#509432
#502542
#501692
#501292
#499582
#494782
#493032
#490322
#486272
#451102
#447482
#447112
#445202
#435292
#434972
#434092
#434082
#434042
#430442
#425142
#421332
#417702
#409902
#408652
#360032
#359262
#358992
#358582
#357272