Finite Group Databasebeta

← #9053984

Subgroups — #9053984

Order 512.

4064 conjugacy classes of subgroups.

The subgroup lattice has 2013 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58631C212yesmaximal, complemented
2#58389C211yesmaximal, characteristic, complemented
3#58388C211yesmaximal, characteristic
4#57106C212yesmaximal, complemented
5#56637C212yesmaximal, complemented
6#56636C212yesmaximal, complemented
7#56074C211yesmaximal, characteristic, complemented
8#55926C211yesmaximal, characteristic
9#55664C212yesmaximal, complemented
10#54557C212yesmaximal, complemented
11#52998C212yesmaximal, complemented
12#52888C212yesmaximal, complemented
13#52830C212yesmaximal, complemented
14#52824C212yesmaximal, complemented
15#50869C212yesmaximal, complemented
16#50841C212yesmaximal, complemented
17#50775C212yesmaximal, complemented
18#50716C212yesmaximal, complemented
19#50673C212yesmaximal, complemented
20#50576C212yesmaximal, complemented
21#50394C212yesmaximal, complemented
22#49800C212yesmaximal, complemented
23#49568C212yesmaximal, complemented
24#48167C212yesmaximal, complemented
25#47855C212yesmaximal, complemented
26#47112C212yesmaximal, complemented
27#47044C212yesmaximal, complemented
28#46209C212yesmaximal, complemented
29#46208C212yesmaximal, complemented
30#40684C212yesmaximal, complemented
31#40680C212yesmaximal, complemented
32#36970C211yesmaximal, characteristic, complemented
33#36962C211yesmaximal, characteristic, complemented
34#35818C212yesmaximal, complemented
35#35469C211yesmaximal, characteristic
36C2×#563C2212yes—
37C2×#544C2211yescharacteristic
38C2×#543C2211yescharacteristic
39C2×#539C2211yescharacteristic
40C22×#126C2211yescharacteristic
41#2855C2211yescharacteristic
42#2855C2211yescharacteristic
43#2855C2212yes—
44#2841C2211yescharacteristic
45#2841C2211yescharacteristic
46#2839C2212yescomplemented
47#2839C2212yescomplemented
48#2839C2212yescomplemented
49#2839C2212yescomplemented
50#2838C2212yes—
51#2837C2212yes—
52#2836C2212yes—
53#2836C2212yescomplemented
54#2836C2212yescomplemented
55#2835C2211yescharacteristic
56#2835C2212yescomplemented
57#2833C2212yescomplemented
58#2833C2212yescomplemented
59#2831C2212yes—
60#2831C2212yes—
61#2831C2212yes—
62#2831C2212yescomplemented
63#2831C2212yescomplemented
64#2831C2212yescomplemented
65#2827C2212yes—
66#2826C2211yescharacteristic
67#2826C2212yes—
68#2809C2212yescomplemented
69#2807C2211yescharacteristic
70#2806C2212yescomplemented
71#2800C2212yes—
72#2799C2212yescomplemented
73#2799C2212yescomplemented
74#2798C2212yes—
75#2796C2212yes—
76#2792C2212yescomplemented
77#2791C2212yescomplemented
78#2791C2212yescomplemented
79#2787C2212yes—
80#2786C2212yes—
81#2783C2212yes—
82#2780C2212yescomplemented
83#2777C2212yes—
84#2775C2212yes—
85#2775C2212yes—
86#2775C2212yescomplemented
87#2775C2212yescomplemented
88#2774C2212yescomplemented
89#2774C2212yescomplemented
90#2773C2212yes—
91#2773C2212yescomplemented
92#2771C2212yes—
93#2771C2212yes—
94#2771C2211yescharacteristic
95#2771C2212yescomplemented
96#2769C2212yescomplemented
97#2768C2212yes—
98#2767C2212yescomplemented
99#2766C2212yescomplemented
100#2764C2211yescharacteristic
101#2764C2212yes—
102#2763C2211yescharacteristic
103#2762C2212yescomplemented
104#2761C2212yes—
105#2760C2211yescharacteristic
106#2757C2212yes—
107#2755C2212yescomplemented
108#2754C2212yes—
109#2754C2212yes—
110#2754C2212yescomplemented
111#2752C2211yescharacteristic
112#2750C2212yes—
113#2750C2212yes—
114#2750C2212yes—
115#2748C2212yes—
116#2747C2212yescomplemented
117#2745C2212yes—
118#2745C2212yescomplemented
119#2744C2212yes—
120#2744C2212yescomplemented
121#2743C2212yes—
122#2742C2211yescharacteristic
123#2740C2212yes—
124#2740C2212yes—
125#2740C2212yes—
126#2740C2212yes—
127#2739C2212yes—
128#2739C2212yes—
129#2738C2212yes—
130#2738C2212yes—
131#2737C2212yescomplemented
132#2735C2212yes—
133#2735C2212yes—
134#2734C2212yescomplemented
135#2730C2212yes—
136#2729C2212yes—
137#2729C2212yescomplemented
138#2728C2212yes—
139#2726C2212yescomplemented
140#2725C2212yescomplemented
141#2723C2212yes—
142#2723C2212yes—
143#2721C2212yes—
144#2721C2212yes—
145#2721C2212yes—
146#2721C2212yes—
147#2721C2212yes—
148#2720C2212yescomplemented
149#2719C2212yescomplemented
150#2719C2212yescomplemented
151#2718C2212yescomplemented
152#2716C2212yes—
153#2716C2212yes—
154#2716C2212yes—
155#2716C2212yes—
156#2716C2212yescomplemented
157#2716C2212yescomplemented
158#2713C2212yescomplemented
159#2713C2212yescomplemented
160#2704C2212yes—
161#2702C2212yes—
162#2701C2212yes—
163#2700C2212yes—
164#2698C2212yes—
165#2698C2212yes—
166#2698C2212yes—
167#2698C2212yes—
168#2698C2212yes—
169#2698C2212yes—
170#2698C2212yes—
171#2698C2212yes—
172#2698C2212yescomplemented
173#2694C2212yes—
174#2692C2212yes—
175#2692C2212yes—
176#2690C2212yes—
177#2689C2212yes—
178#2689C2212yes—
179#2689C2212yes—
180#2689C2212yes—
181#2689C2212yes—
182#2689C2212yes—
183#2689C2212yes—
184#2689C2212yescomplemented
185#2687C2212yes—
186#2687C2212yes—
187#2687C2212yescomplemented
188#2686C2212yes—
189#2685C2212yes—
190#2684C2212yes—
191#2680C2212yes—
192#2677C2212yes—
193#2677C2211yescharacteristic
194#2677C2212yescomplemented
195#2674C2212yes—
196#2667C2212yescomplemented
197#2666C2212yescomplemented
198#2666C2212yescomplemented
199#2666C2212yescomplemented
200#2663C2212yes—
201#2663C2212yes—
202#2655C2212yescomplemented
203#2655C2212yescomplemented
204#2654C2212yes—
205#2654C2212yes—
206#2654C2212yescomplemented
207#2653C2212yes—
208#2651C2212yes—
209#2651C2212yescomplemented
210#2650C2212yes—
211#2650C2212yes—
212#2647C2212yescomplemented
213#2640C2212yes—
214#2634C2212yescomplemented
215#2632C2212yes—
216#2627C2212yes—
217#2626C2211yescharacteristic
218#2626C2211yescharacteristic
219#2621C2212yes—
220#2607C2211yescharacteristic
221#2607C2211yescharacteristic
222#2607C2212yescomplemented
223#2605C2212yescomplemented
224#2605C2212yescomplemented
225#2597C2212yes—
226#2597C2212yescomplemented
227#2596C2212yes—
228#2596C2212yes—
229#2596C2212yescomplemented
230#2594C2212yes—
231#2593C2212yes—
232#2590C2212yescomplemented
233#2590C2212yescomplemented
234#2590C2212yescomplemented
235#2589C2212yescomplemented
236#2588C2212yescomplemented
237#2587C2212yes—
238#2587C2212yescomplemented
239#2585C2212yescomplemented
240#2585C2212yescomplemented
241#2585C2212yescomplemented
242#2583C2212yes—
243#2577C2212yescomplemented
244#2575C2212yes—
245#2575C2212yes—
246#2573C2212yes—
247#2573C2212yes—
248#2573C2212yescomplemented
249#2570C2212yescomplemented
250#2568C2212yescomplemented
251#2566C2212yes—
252#2561C2211yescharacteristic
253#2561C2212yes—
254#2560C2212yes—
255#2560C2212yes—
256#2560C2212yes—
257#2560C2212yes—
258#2556C2212yes—
259#2556C2212yescomplemented
260#2554C2212yes—
261#2554C2212yes—
262#2553C2212yescomplemented
263#2551C2212yescomplemented
264#2550C2212yescomplemented
265#2550C2212yescomplemented
266#2550C2212yescomplemented
267#2549C2212yescomplemented
268#2549C2212yescomplemented
269#2546C2212yescomplemented
270#2539C2211yescharacteristic
271#2536C2212yes—
272#2530C2212yes—
273#2530C2212yescomplemented
274#2527C2212yes—
275#2527C2212yes—
276#2526C2212yes—
277#2526C2212yes—
278#2525C2212yes—
279#2525C2212yes—
280#2525C2212yes—
281#2525C2212yescomplemented
282#2524C2212yescomplemented
283#2524C2212yescomplemented
284#2522C2212yes—
285#2520C2212yescomplemented
286#2520C2212yescomplemented
287#2520C2212yescomplemented
288#2520C2212yescomplemented
289#2520C2212yescomplemented
290#2519C2212yes—
291#2519C2212yes—
292#2519C2212yescomplemented
293#2519C2212yescomplemented
294#2519C2212yescomplemented
295#2517C2211yescharacteristic
296#2517C2212yescomplemented
297#2516C2212yes—
298#2516C2212yes—
299#2516C2212yes—
300#2515C2212yes—
301#2515C2212yes—
302#2515C2212yes—
303#2515C2212yescomplemented
304#2514C2212yescomplemented
305#2513C2212yes—
306#2512C2212yes—
307#2512C2212yes—
308#2511C2212yescomplemented
309#2511C2212yescomplemented
310#2511C2212yescomplemented
311#2510C2212yes—
312#2509C2212yescomplemented
313#2506C2212yescomplemented
314#2506C2212yescomplemented
315#2504C2211yescharacteristic
316#2503C2212yes—
317#2502C2211yescharacteristic
318#2502C2212yes—
319#2496C2212yescomplemented
320#2493C2212yescomplemented
321#2492C2212yes—
322#2492C2212yescomplemented
323#2489C2212yes—
324#2488C2212yescomplemented
325#2484C2212yes—
326#2483C2211yescharacteristic
327#2483C2211yescharacteristic
328#2483C2211yescharacteristic
329#2483C2211yescharacteristic
330#2482C2212yes—
331#2480C2212yes—
332#2480C2212yes—
333#2478C2212yes—
334#2478C2212yes—
335#2474C2212yes—
336#2472C2212yes—
337#2470C2212yes—
338#2469C2212yes—
339#2469C2212yes—
340#2468C2212yes—
341#2466C2212yes—
342#2465C2212yescomplemented
343#2463C2211yescharacteristic
344#2453C2212yescomplemented
345#2452C2212yes—
346#2448C2212yes—
347#2447C2212yes—
348#2447C2212yes—
349#2429C2212yes—
350#2429C2212yescomplemented
351#2421C2212yescomplemented
352#2419C2212yes—
353#2418C2212yes—
354#2413C2212yes—
355#2411C2212yes—
356#2402C2212yescomplemented
357#2402C2212yescomplemented
358#2396C2212yes—
359#2382C2212yescomplemented
360#2381C2212yescomplemented
361#2378C2212yescomplemented
362#2378C2212yescomplemented
363#2374C2212yes—
364#2365C2212yescomplemented
365#2362C2212yes—
366#2362C2212yes—
367#2356C2212yescomplemented
368#2355C2212yescomplemented
369#2355C2212yescomplemented
370#2337C2212yes—
371#2334C2212yes—
372#2332C2212yes—
373#2321C2212yes—
374#2318C2212yes—
375#2313C2211yescharacteristic
376#2312C2211yescharacteristic
377C4×#123C2212yes—
378#2274C2211yescharacteristic
379#563—48no—
380#544—44no—
381#543—44no—
382#539—44no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126—44no—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2311yescharacteristic
429C2×#120C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2311yescharacteristic
444C22×C22⋊C4C2311yescharacteristic
445C22×C42C2311yescharacteristic
446#401C2312yes—
447#401C2312yes—
448#401C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2312yes—
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#399C2312yes—
507#399C2311yescharacteristic
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2311yescharacteristic
514#399C2311yescharacteristic
515#399C2312yes—
516#399C2312yes—
517#399C2311yescharacteristic
518#399C2312yes—
519#399C2311yescharacteristic
520#399C2311yescharacteristic
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
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#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2311yescharacteristic
586#397C2312yes—
587#397C2311yescharacteristic
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#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
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#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#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#393C2311yescharacteristic
684#393C2311yescharacteristic
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2311yescharacteristic
693#393C2312yes—
694#393C2311yescharacteristic
695#393C2312yes—
696#393C2311yescharacteristic
697#393C2311yescharacteristic
698#393C2312yes—
699#393C2312yes—
700#392C2311yescharacteristic
701#392C2311yescharacteristic
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#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
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#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
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#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#385C2311yescharacteristic
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2311yescharacteristic
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#385C2311yescharacteristic
998#385C2311yescharacteristic
999#385C2312yes—
1000#384C2312yes—
1001#384C2312yes—
1002#384C2312yes—
1003#384C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#382C2312yes—
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#381C2311yescharacteristic
1033#381C2311yescharacteristic
1034#381C2312yes—
1035#381C2312yes—
1036#381C2311yescharacteristic
1037#381C2311yescharacteristic
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#379C2312yes—
1054#379C2312yes—
1055#379C2312yes—
1056#379C2311yescharacteristic
1057#379C2311yescharacteristic
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×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2311yescharacteristic
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2311yescharacteristic
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100#376C2312yes—
1101#376C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C23×C4C2411yescharacteristic
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C4⋊Q8—44no—
1130C4⋊Q8—44no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135#126—44no—
1136#126—44no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#124—44no—
1152#124—44no—
1153#123—28no—
1154#123—44no—
1155#123—44no—
1156#123—44no—
1157C22⋊Q8—28no—
1158C22⋊Q8—28no—
1159C22⋊Q8—42no—
1160C22⋊Q8—44no—
1161C22⋊Q8—42no—
1162C22⋊Q8—42no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173#121—42no—
1174#120—44no—
1175C4×Q8—44no—
1176C4×Q8—44no—
1177C4×Q8—44no—
1178C4×D4—44no—
1179C4×D4—44no—
1180#117—44no—
1181#117—44no—
1182C2×C4⋊C4—24no—
1183C2×C4⋊C4—24no—
1184C2×C4⋊C4—42no—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2411yescharacteristic
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⋊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×C22⋊C4—24no—
1281C2×C22⋊C4—42no—
1282C2×C22⋊C4—42no—
1283C2×C22⋊C4—42no—
1284C2×C22⋊C4—42no—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2412yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2411yescharacteristic
1302C2×C22⋊C4C2411yescharacteristic
1303C2×C22⋊C4C2411yescharacteristic
1304C2×C22⋊C4C2411yescharacteristic
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊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⋊C4C2411yescharacteristic
1342C2×C22⋊C4C2411yescharacteristic
1343C2×C22⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2411yescharacteristic
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C42—42no—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2412yes—
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380#95C2412yes—
1381#95C2412yes—
1382#95C2412yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2412yes—
1386#95C2412yes—
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2411yescharacteristic
1394#95C2412yes—
1395#95C2412yes—
1396#95C2411yescharacteristic
1397#95C2412yes—
1398#95C2412yes—
1399#95C2411yescharacteristic
1400#95C2411yescharacteristic
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#95C2411yescharacteristic
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2411yescharacteristic
1465#95C2412yes—
1466#95C2412yes—
1467#95C2411yescharacteristic
1468#95C2412yes—
1469#95C2411yescharacteristic
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—
1508C24—22no—
1509C24—42no—
1510C24—42no—
1511C24—41no—
1512C24—41no—
1513C24C2511yescharacteristic
1514C24C2511yescharacteristic
1515C24C2512yes—
1516C24C2511yescharacteristic
1517C2×Q8—24no—
1518C2×Q8—24no—
1519C2×Q8—24no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—42no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—41no—
1528C2×Q8—41no—
1529C2×Q8—41no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×D4—24no—
1539C2×D4—24no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—41no—
1546C2×D4—42no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C22×C4—22no—
1550C22×C4—22no—
1551C22×C4—22no—
1552C22×C4—22no—
1553C22×C4—22no—
1554C22×C4—42no—
1555C22×C4—41no—
1556C22×C4—41no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—41no—
1561C22×C4—41no—
1562C22×C4—41no—
1563C22×C4—41no—
1564C22×C4—41no—
1565C22×C4—41no—
1566C22×C4—42no—
1567C22×C4—42no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—41no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—41no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4H(5,𝔽2)14yes—
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2511yescharacteristic
1599C22×C4C2511yescharacteristic
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2511yescharacteristic
1610C22×C4C2511yescharacteristic
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—42no—
1633C4⋊C4—42no—
1634C4⋊C4—42no—
1635C4⋊C4—42no—
1636C4⋊C4—42no—
1637C4⋊C4—42no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
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—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—41no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—41no—
1686C4⋊C4—41no—
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—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C22⋊C4—24no—
1709C22⋊C4—24no—
1710C22⋊C4—24no—
1711C22⋊C4—24no—
1712C22⋊C4—24no—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—42no—
1721C22⋊C4—42no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—41no—
1725C22⋊C4—41no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—41no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—41no—
1750C22⋊C4—42no—
1751C22⋊C4—41no—
1752C22⋊C4—42no—
1753C22⋊C4—41no—
1754C22⋊C4—42no—
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—
1773C42—24no—
1774C42—24no—
1775C42—24no—
1776C42—42no—
1777C42—42no—
1778C42—42no—
1779C42—42no—
1780C42—42no—
1781C42—42no—
1782C42—42no—
1783C42—42no—
1784C42—42no—
1785C42—42no—
1786C42—42no—
1787C42—42no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C23—22no—
1803C23—21no—
1804C23—21no—
1805C23—22no—
1806C23—21no—
1807C23—21no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—21no—
1816C23—21no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—21no—
1822C23—21no—
1823C23—44no—
1824C23—82no—
1825C23—82no—
1826C23—162no—
1827C23—162no—
1828C23C2×H(5,𝔽2)12yes—
1829C23C2611yescharacteristic
1830Q8—84no—
1831Q8—84no—
1832Q8—84no—
1833Q8—161no—
1834Q8—161no—
1835Q8—162no—
1836Q8—162no—
1837Q8—161no—
1838D4—84no—
1839D4—84no—
1840D4—162no—
1841D4—161no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
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—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
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—22no—
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—44no—
1930C2×C4—44no—
1931C2×C4—82no—
1932C2×C4—82no—
1933C2×C4—82no—
1934C2×C4—82no—
1935C2×C4—162no—
1936C2×C4—161no—
1937C2×C4—162no—
1938C2×C4—161no—
1939C2×C4—162no—
1940C2×C4—161no—
1941C2×C4—161no—
1942C2×C4C2×H(5,𝔽2)14yes—
1943C2×C4#58514yes—
1944C22—22no—
1945C22—22no—
1946C22—22no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—42no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—41no—
1959C22—41no—
1960C22—42no—
1961C22—41no—
1962C22—41no—
1963C22—42no—
1964C22—41no—
1965C22—41no—
1966C22—164no—
1967C22C22×H(5,𝔽2)11yescharacteristic
1968C22C2×#58512yes—
1969C222−1+611yescharacteristic
1970C222−1+612yes—
1971C222−1+611yescharacteristic
1972C4—24no—
1973C4—24no—
1974C4—42no—
1975C4—42no—
1976C4—42no—
1977C4—42no—
1978C4—42no—
1979C4—42no—
1980C4—42no—
1981C4—42no—
1982C4—42no—
1983C4—42no—
1984C4—42no—
1985C4—41no—
1986C4—41no—
1987C4—42no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—41no—
1998C4—42no—
1999C4—41no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C2—42no—
2004C2—82no—
2005C2—81no—
2006C2—81no—
2007C2#6282211yescharacteristic
2008C2#6288711yescharacteristic
2009C2#6288711yescharacteristic
2010C2#6306212yes—
2011C2#6306412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2539C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58631C2semidirect
2. #58389C2semidirect
4. #57106C2semidirect
5. #56637C2semidirect
6. #56636C2semidirect
7. #56074C2semidirect
9. #55664C2semidirect
10. #54557C2semidirect
11. #52998C2semidirect
12. #52888C2semidirect
13. #52830C2semidirect
14. #52824C2semidirect
15. #50869C2semidirect
16. #50841C2semidirect
17. #50775C2semidirect
18. #50716C2semidirect
19. #50673C2semidirect
20. #50576C2semidirect
21. #50394C2semidirect
22. #49800C2semidirect
23. #49568C2semidirect
24. #48167C2semidirect
25. #47855C2semidirect
26. #47112C2semidirect
27. #47044C2semidirect
28. #46209C2semidirect
29. #46208C2semidirect
30. #40684C2semidirect
31. #40680C2semidirect
32. #36970C2semidirect
33. #36962C2semidirect
34. #35818C2semidirect
46. #2839C22semidirect
47. #2839C22semidirect
48. #2839C22semidirect
49. #2839C22semidirect
53. #2836C22semidirect
54. #2836C22semidirect
56. #2835C22semidirect
57. #2833C22semidirect
58. #2833C22semidirect
62. #2831C22semidirect
63. #2831C22semidirect
64. #2831C22semidirect
68. #2809C22semidirect
70. #2806C22semidirect
72. #2799C22semidirect
73. #2799C22semidirect
76. #2792C22semidirect
77. #2791C22semidirect
78. #2791C22semidirect
82. #2780C22semidirect
86. #2775C22semidirect
87. #2775C22semidirect
88. #2774C22semidirect
89. #2774C22semidirect
91. #2773C22semidirect
95. #2771C22semidirect
96. #2769C22semidirect
98. #2767C22semidirect
99. #2766C22semidirect
103. #2762C22semidirect
107. #2755C22semidirect
110. #2754C22semidirect
116. #2747C22semidirect
118. #2745C22semidirect
120. #2744C22semidirect
131. #2737C22semidirect
134. #2734C22semidirect
137. #2729C22semidirect
139. #2726C22semidirect
140. #2725C22semidirect
148. #2720C22semidirect
149. #2719C22semidirect
150. #2719C22semidirect
151. #2718C22semidirect
156. #2716C22semidirect
157. #2716C22semidirect
158. #2713C22semidirect
159. #2713C22semidirect
172. #2698C22semidirect
184. #2689C22semidirect
187. #2687C22semidirect
194. #2677C22semidirect
196. #2667C22semidirect
197. #2666C22semidirect
198. #2666C22semidirect
199. #2666C22semidirect
202. #2655C22semidirect
203. #2655C22semidirect
206. #2654C22semidirect
209. #2651C22semidirect
212. #2647C22semidirect
214. #2634C22semidirect
222. #2607C22semidirect
223. #2605C22semidirect
224. #2605C22semidirect
226. #2597C22semidirect
229. #2596C22semidirect
232. #2590C22semidirect
233. #2590C22semidirect
234. #2590C22semidirect
235. #2589C22semidirect
236. #2588C22semidirect
238. #2587C22semidirect
239. #2585C22semidirect
240. #2585C22semidirect
241. #2585C22semidirect
243. #2577C22semidirect
248. #2573C22semidirect
249. #2570C22semidirect
250. #2568C22semidirect
259. #2556C22semidirect
262. #2553C22semidirect
263. #2551C22semidirect
264. #2550C22semidirect
265. #2550C22semidirect
266. #2550C22semidirect
267. #2549C22semidirect
268. #2549C22semidirect
269. #2546C22semidirect
273. #2530C22semidirect
281. #2525C22semidirect
282. #2524C22semidirect
283. #2524C22semidirect
285. #2520C22semidirect
286. #2520C22semidirect
287. #2520C22semidirect
288. #2520C22semidirect
289. #2520C22semidirect
292. #2519C22semidirect
293. #2519C22semidirect
294. #2519C22semidirect
296. #2517C22semidirect
303. #2515C22semidirect
304. #2514C22semidirect
308. #2511C22semidirect
309. #2511C22semidirect
310. #2511C22semidirect
312. #2509C22semidirect
313. #2506C22semidirect
314. #2506C22semidirect
319. #2496C22semidirect
320. #2493C22semidirect
322. #2492C22semidirect
324. #2488C22semidirect
342. #2465C22semidirect
344. #2453C22semidirect
350. #2429C22semidirect
351. #2421C22semidirect
356. #2402C22semidirect
357. #2402C22semidirect
359. #2382C22semidirect
360. #2381C22semidirect
361. #2378C22semidirect
362. #2378C22semidirect
364. #2365C22semidirect
367. #2356C22semidirect
368. #2355C22semidirect
369. #2355C22semidirect

Maximal subgroups

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

subgroupindex
#586312
#583892
#583882
#571062
#566372
#566362
#560742
#559262
#556642
#545572
#529982
#528882
#528302
#528242
#508692
#508412
#507752
#507162
#506732
#505762
#503942
#498002
#495682
#481672
#478552
#471122
#470442
#462092
#462082
#406842
#406802
#369702
#369622
#358182
#354692