Finite Group Databasebeta

← #8416992

Subgroups — #8416992

Order 512.

4162 conjugacy classes of subgroups.

The subgroup lattice has 2015 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58347C212yesmaximal, complemented
2#58292C212yesmaximal, complemented
3#57630C212yesmaximal, complemented
4#57539C212yesmaximal, complemented
5#57532C212yesmaximal, complemented
6#57352C212yesmaximal, complemented
7#57339C212yesmaximal, complemented
8#55303C212yesmaximal, complemented
9#55288C212yesmaximal, complemented
10#54917C212yesmaximal, complemented
11#54902C212yesmaximal, complemented
12#54640C212yesmaximal, complemented
13#52913C211yesmaximal, characteristic, complemented
14#52817C211yesmaximal, characteristic, complemented
15#52719C212yesmaximal, complemented
16#52703C212yesmaximal, complemented
17#52651C212yesmaximal, complemented
18#52570C212yesmaximal, complemented
19#52434C212yesmaximal, complemented
20#44795C211yesmaximal, characteristic, complemented
21#44512C212yesmaximal, complemented
22#44475C212yesmaximal, complemented
23#44465C212yesmaximal, complemented
24#43710C211yesmaximal, characteristic, complemented
25#42319C212yesmaximal, complemented
26#42319C212yesmaximal, complemented
27#41554C212yesmaximal, complemented
28#41473C212yesmaximal
29#41391C212yesmaximal, complemented
30#37855C212yesmaximal, complemented
31#37841C212yesmaximal, complemented
32#37118C211yesmaximal, characteristic
33C2×#2817C211yesmaximal, characteristic, complemented
34#36086C212yesmaximal, complemented
35#35672C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#539C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41#2849C2212yes—
42#2844C2211yescharacteristic, complemented
43#2843C2211yescharacteristic, complemented
44#2841C2212yescomplemented
45#2839C2212yescomplemented
46#2839C2212yescomplemented
47#2839C2212yescomplemented
48#2838C2212yes—
49#2838C2212yes—
50#2838C2212yescomplemented
51#2838C2212yescomplemented
52#2837C2212yes—
53#2836C2212yes—
54#2836C2212yes—
55#2836C2212yes—
56#2835C2212yescomplemented
57#2833C2212yescomplemented
58#2833C2212yescomplemented
59#2833C2211yescharacteristic, complemented
60#2833C2212yescomplemented
61#2832C2212yes—
62#2831C2212yes—
63#2831C2212yes—
64#2831C2212yescomplemented
65#2831C2212yescomplemented
66#2830C2212yes—
67#2830C2211yescharacteristic, complemented
68#2829C2212yes—
69#2827C2212yes—
70#2817C2212yes—
71#2817C2212yes—
72#2817C2212yes—
73#2817C2212yes—
74#2817C2212yes—
75#2817C2212yes—
76#2817C2212yes—
77#2817C2212yes—
78#2809C2211yescharacteristic, complemented
79#2806C2212yescomplemented
80#2806C2212yescomplemented
81#2805C2212yescomplemented
82#2805C2212yescomplemented
83#2805C2212yescomplemented
84#2804C2211yescharacteristic, complemented
85#2802C2212yescomplemented
86#2800C2212yes—
87#2800C2212yes—
88#2799C2211yescharacteristic, complemented
89#2798C2212yes—
90#2798C2212yes—
91#2798C2212yes—
92#2798C2212yescomplemented
93#2796C2212yes—
94#2796C2212yes—
95#2794C2212yescomplemented
96#2794C2211yescharacteristic, complemented
97#2794C2212yescomplemented
98#2792C2212yescomplemented
99#2792C2211yescharacteristic, complemented
100#2789C2211yescharacteristic, complemented
101#2788C2212yescomplemented
102#2788C2212yescomplemented
103#2786C2212yes—
104#2784C2211yescharacteristic, complemented
105#2783C2212yes—
106#2781C2212yes—
107#2777C2212yes—
108#2777C2212yes—
109#2777C2212yes—
110#2775C2212yescomplemented
111#2775C2212yescomplemented
112#2774C2212yescomplemented
113#2774C2212yescomplemented
114#2774C2212yescomplemented
115#2774C2212yescomplemented
116#2774C2212yescomplemented
117#2774C2212yescomplemented
118#2773C2212yes—
119#2773C2212yes—
120#2773C2212yes—
121#2772C2212yes—
122#2772C2212yes—
123#2772C2212yes—
124#2771C2212yescomplemented
125#2770C2212yescomplemented
126#2769C2211yescharacteristic, complemented
127#2769C2212yescomplemented
128#2767C2212yescomplemented
129#2767C2212yescomplemented
130#2767C2212yescomplemented
131#2766C2212yescomplemented
132#2762C2212yescomplemented
133#2762C2212yescomplemented
134#2762C2212yescomplemented
135#2761C2212yes—
136#2759C2212yes—
137#2759C2212yes—
138#2759C2212yescomplemented
139#2759C2212yescomplemented
140#2758C2212yescomplemented
141#2758C2212yescomplemented
142#2758C2212yescomplemented
143#2755C2212yescomplemented
144#2754C2212yes—
145#2754C2212yes—
146#2754C2212yes—
147#2754C2212yescomplemented
148#2753C2212yes—
149#2751C2212yes—
150#2749C2212yes—
151#2747C2212yescomplemented
152#2746C2212yes—
153#2745C2212yes—
154#2745C2212yescomplemented
155#2745C2212yescomplemented
156#2745C2212yescomplemented
157#2744C2212yes—
158#2744C2212yescomplemented
159#2743C2212yes—
160#2742C2212yescomplemented
161#2741C2212yes—
162#2741C2212yes—
163#2740C2212yes—
164#2740C2212yes—
165#2740C2212yes—
166#2739C2212yes—
167#2738C2212yes—
168#2737C2212yes—
169#2737C2212yescomplemented
170#2725C2212yescomplemented
171#2723C2212yes—
172#2723C2212yes—
173#2720C2212yes—
174#2720C2212yes—
175#2720C2212yescomplemented
176#2719C2212yescomplemented
177#2719C2212yescomplemented
178#2718C2212yescomplemented
179#2704C2212yes—
180#2704C2212yes—
181#2702C2212yes—
182#2702C2212yes—
183#2698C2212yescomplemented
184#2696C2212yes—
185#2696C2212yes—
186#2695C2212yescomplemented
187#2692C2212yes—
188#2692C2212yes—
189#2692C2212yes—
190#2692C2212yes—
191#2690C2212yes—
192#2690C2212yes—
193#2689C2212yescomplemented
194#2666C2212yescomplemented
195#2666C2212yescomplemented
196#2666C2212yescomplemented
197#2666C2212yescomplemented
198#2665C2212yescomplemented
199#2665C2212yescomplemented
200#2655C2212yescomplemented
201#2655C2212yescomplemented
202#2654C2212yes—
203#2654C2212yes—
204#2654C2212yes—
205#2652C2212yescomplemented
206#2651C2212yes—
207#2650C2212yes—
208#2650C2212yes—
209#2650C2212yescomplemented
210#2650C2212yescomplemented
211#2648C2212yes—
212#2646C2212yescomplemented
213#2644C2212yes—
214#2637C2212yescomplemented
215#2634C2212yescomplemented
216#2627C2212yes—
217#2626C2212yes—
218#2622C2212yes—
219#2614C2212yes—
220#2614C2212yes—
221#2612C2211yescharacteristic, complemented
222#2605C2212yescomplemented
223#2604C2212yescomplemented
224#2599C2212yescomplemented
225#2597C2212yes—
226#2597C2212yes—
227#2597C2212yescomplemented
228#2596C2212yes—
229#2596C2212yes—
230#2594C2212yes—
231#2594C2212yes—
232#2593C2211yescharacteristic, complemented
233#2590C2212yescomplemented
234#2588C2212yescomplemented
235#2588C2212yescomplemented
236#2586C2212yescomplemented
237#2586C2212yescomplemented
238#2586C2211yescharacteristic, complemented
239#2584C2212yescomplemented
240#2581C2212yescomplemented
241#2576C2212yes—
242#2575C2212yes—
243#2575C2212yescomplemented
244#2574C2212yescomplemented
245#2574C2212yescomplemented
246#2573C2212yes—
247#2572C2212yes—
248#2571C2211yescharacteristic, complemented
249#2570C2212yescomplemented
250#2569C2212yes—
251#2561C2211yescharacteristic
252#2561C2212yes—
253#2560C2212yes—
254#2560C2212yes—
255#2556C2212yes—
256#2556C2212yes—
257#2549C2212yes—
258#2539C2211yescharacteristic
259#2534C2212yes—
260#2534C2212yes—
261#2533C2212yescomplemented
262#2533C2212yescomplemented
263#2528C2212yescomplemented
264#2528C2212yescomplemented
265#2527C2212yes—
266#2526C2212yes—
267#2526C2212yes—
268#2525C2212yes—
269#2525C2212yes—
270#2524C2212yescomplemented
271#2520C2212yescomplemented
272#2516C2212yes—
273#2515C2212yes—
274#2513C2212yes—
275#2511C2212yescomplemented
276#2511C2212yescomplemented
277#2510C2212yes—
278#2510C2212yes—
279#2506C2212yescomplemented
280#2505C2212yes—
281#2505C2212yes—
282#2503C2212yes—
283#2503C2211yescharacteristic
284#2501C2211yescharacteristic
285#2498C2212yes—
286#2496C2212yescomplemented
287#2493C2212yes—
288#2493C2212yes—
289#2493C2212yes—
290#2493C2212yes—
291#2493C2212yes—
292#2493C2212yes—
293#2493C2212yescomplemented
294#2489C2212yescomplemented
295#2488C2212yes—
296#2488C2212yes—
297#2488C2212yescomplemented
298#2486C2212yes—
299#2486C2212yes—
300#2484C2212yes—
301#2484C2212yes—
302#2484C2211yescharacteristic
303#2484C2211yescharacteristic
304#2484C2212yes—
305#2482C2212yes—
306#2482C2211yescharacteristic
307#2482C2211yescharacteristic
308#2482C2212yes—
309#2477C2212yes—
310#2477C2212yes—
311#2470C2212yescomplemented
312#2469C2212yescomplemented
313#2469C2212yescomplemented
314#2469C2212yescomplemented
315#2465C2212yes—
316#2465C2212yes—
317#2465C2212yescomplemented
318#2465C2212yescomplemented
319#2462C2212yescomplemented
320#2462C2212yescomplemented
321#2462C2212yescomplemented
322#2462C2212yescomplemented
323#2453C2212yescomplemented
324#2450C2212yes—
325#2444C2212yes—
326#2438C2212yes—
327#2438C2212yes—
328#2438C2212yes—
329#2438C2212yes—
330#2438C2212yes—
331#2438C2212yescomplemented
332#2425C2212yes—
333#2423C2212yes—
334#2423C2212yes—
335#2423C2212yes—
336#2423C2212yes—
337#2421C2212yes—
338#2421C2212yes—
339#2421C2212yes—
340#2421C2212yes—
341#2419C2212yes—
342#2419C2212yes—
343#2419C2212yes—
344#2413C2212yes—
345#2413C2212yes—
346#2413C2212yes—
347#2413C2212yes—
348#2411C2212yes—
349#2399C2212yescomplemented
350#2396C2212yescomplemented
351C2×#400C2211yescharacteristic
352C2×#400C2211yescharacteristic
353C2×#400C2212yes—
354C2×#397C2212yes—
355C2×#397C2212yes—
356C2×#395C2211yescharacteristic
357C2×#395C2212yes—
358C2×#395C2211yescharacteristic
359#2368C2212yes—
360#2359C2212yes—
361#2359C2212yes—
362#2359C2212yes—
363#2359C2212yes—
364#2349C2212yes—
365#2344C2212yes—
366#2344C2212yes—
367#2344C2212yes—
368#2343C2212yes—
369#2343C2212yes—
370#2322C2212yes—
371#2321C2212yes—
372#2317C2212yes—
373#2313C2211yescharacteristic
374#2312C2212yes—
375#2310C2211yescharacteristic
376#2310C2212yes—
377#2280C2212yes—
378C2×#381C2211yescharacteristic
379C23×Q8C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C24×C4C2311yescharacteristic
382#552—48no—
383#539—44no—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#125C2312yes—
388C2×#125C2312yes—
389C2×#125C2312yes—
390C2×#125C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×C22⋊Q8—44no—
399C2×C22⋊Q8—44no—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×#121C2311yescharacteristic
414C2×#120C2312yes—
415#519—44no—
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C22⋊C4C2312yes—
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2312yes—
442C22×C22⋊C4C2311yescharacteristic
443#401C2312yes—
444#401C2312yes—
445#401C2312yes—
446#401C2312yes—
447#401C2312yes—
448#401C2312yes—
449#400C2312yes—
450#400C2311yescharacteristic
451#400C2311yescharacteristic
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#400C2311yescharacteristic
466#400C2311yescharacteristic
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2311yescharacteristic
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#400C2311yescharacteristic
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#400C2311yescharacteristic
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2311yescharacteristic
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2311yescharacteristic
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#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2311yescharacteristic
581#398C2311yescharacteristic
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
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#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
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#396C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2311yescharacteristic
654#395C2312yes—
655#395C2312yes—
656#395C2311yescharacteristic
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2311yescharacteristic
667#395C2312yes—
668#395C2311yescharacteristic
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2312yes—
684#395C2312yes—
685#395C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#392C2312yes—
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#391C2311yescharacteristic
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2311yescharacteristic
749#390C2312yes—
750#390C2312yes—
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#389C2312yes—
789#389C2312yes—
790#389C2312yes—
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#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
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#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#384C2311yescharacteristic
999#384C2312yes—
1000#384C2311yescharacteristic
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2311yescharacteristic
1019#382C2312yes—
1020#382C2312yes—
1021#382C2311yescharacteristic
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2311yescharacteristic
1034#381C2311yescharacteristic
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#379C2312yes—
1060#379C2312yes—
1061#379C2312yes—
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×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2311yescharacteristic
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091#376C2312yes—
1092#376C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C25C2411yescharacteristic
1104C22×Q8—24no—
1105C22×Q8—44no—
1106C22×Q8—42no—
1107C22×Q8—44no—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×Q8C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C23×C4—24no—
1121C23×C4—44no—
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2411yescharacteristic
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2411yescharacteristic
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#125—44no—
1141#125—44no—
1142#125—44no—
1143#125—44no—
1144#123—28no—
1145#123—44no—
1146#123—44no—
1147#123—44no—
1148#123—44no—
1149#123—44no—
1150#123—44no—
1151C22⋊Q8—44no—
1152C22⋊Q8—42no—
1153C22⋊Q8—44no—
1154C22⋊Q8—44no—
1155C22⋊Q8—44no—
1156C22⋊Q8—44no—
1157C22⋊Q8—44no—
1158C22⋊Q8—44no—
1159C22⋊Q8—44no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164#121—42no—
1165#120—44no—
1166C4×Q8—44no—
1167C4×Q8—44no—
1168C4×Q8—44no—
1169C4×Q8—44no—
1170C4×Q8—44no—
1171C4×D4—44no—
1172C4×D4—44no—
1173C4×D4—44no—
1174#117—28no—
1175#117—44no—
1176#117—44no—
1177#117—44no—
1178#117—42no—
1179#117—44no—
1180#117—42no—
1181#117—44no—
1182C2×C4⋊C4—24no—
1183C2×C4⋊C4—28no—
1184C2×C4⋊C4—44no—
1185C2×C4⋊C4—44no—
1186C2×C4⋊C4—42no—
1187C2×C4⋊C4—42no—
1188C2×C4⋊C4—42no—
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⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C4⋊C4C2411yescharacteristic
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2411yescharacteristic
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2411yescharacteristic
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C22⋊C4—44no—
1285C2×C22⋊C4—44no—
1286C2×C22⋊C4—42no—
1287C2×C22⋊C4—42no—
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⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2412yes—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2411yescharacteristic
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2411yescharacteristic
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2411yescharacteristic
1371C2×C42C2411yescharacteristic
1372#95C2412yes—
1373#95C2412yes—
1374#95C2412yes—
1375#95C2412yes—
1376#95C2412yes—
1377#95C2412yes—
1378#95C2412yes—
1379#95C2412yes—
1380#95C2412yes—
1381#95C2412yes—
1382#95C2412yes—
1383#95C2412yes—
1384#95C2411yescharacteristic
1385#95C2411yescharacteristic
1386#95C2411yescharacteristic
1387#95C2412yes—
1388#95C2412yes—
1389#95C2411yescharacteristic
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1497#95C2411yescharacteristic
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508C24—22no—
1509C24—24no—
1510C24—42no—
1511C24—41no—
1512C24—41no—
1513C24C2512yes—
1514C24C2512yes—
1515C24C2511yescharacteristic
1516C2×Q8—24no—
1517C2×Q8—24no—
1518C2×Q8—42no—
1519C2×Q8—42no—
1520C2×Q8—42no—
1521C2×Q8—42no—
1522C2×Q8—42no—
1523C2×Q8—41no—
1524C2×Q8—42no—
1525C2×Q8—41no—
1526C2×Q8—42no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—41no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—416no—
1539C2×Q8—88no—
1540C2×D4—24no—
1541C2×D4—24no—
1542C2×D4—24no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—41no—
1546C2×D4—42no—
1547C2×D4—42no—
1548C2×D4—42no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—22no—
1555C22×C4—22no—
1556C22×C4—22no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—22no—
1563C22×C4—24no—
1564C22×C4—22no—
1565C22×C4—24no—
1566C22×C4—24no—
1567C22×C4—24no—
1568C22×C4—24no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—42no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—42no—
1575C22×C4—42no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—88no—
1593C22×C4H(5,𝔽2)14yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2512yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2511yescharacteristic
1605C22×C4C2511yescharacteristic
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2511yescharacteristic
1611C22×C4C2511yescharacteristic
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2511yescharacteristic
1619C22×C4C2512yes—
1620C22×C4C2511yescharacteristic
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
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—41no—
1647C4⋊C4—41no—
1648C4⋊C4—41no—
1649C4⋊C4—41no—
1650C4⋊C4—41no—
1651C4⋊C4—42no—
1652C4⋊C4—41no—
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—42no—
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—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—41no—
1692C4⋊C4—42no—
1693C4⋊C4—41no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
1696C4⋊C4—41no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
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—42no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
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—42no—
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—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
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—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C42—24no—
1779C42—24no—
1780C42—42no—
1781C42—42no—
1782C42—42no—
1783C42—41no—
1784C42—42no—
1785C42—41no—
1786C42—42no—
1787C42—42no—
1788C42—41no—
1789C42—42no—
1790C42—42no—
1791C42—41no—
1792C42—42no—
1793C42—42no—
1794C42—42no—
1795C42—42no—
1796C42—42no—
1797C42—42no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C23—22no—
1806C23—21no—
1807C23—21no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—22no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—84no—
1826C23—84no—
1827C23C2×H(5,𝔽2)12yes—
1828C23#58514yes—
1829C23C2611yescharacteristic
1830Q8—48no—
1831Q8—48no—
1832Q8—84no—
1833Q8—82no—
1834Q8—84no—
1835Q8—82no—
1836Q8—162no—
1837Q8—161no—
1838D4—48no—
1839D4—162no—
1840D4—162no—
1841D4—161no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—28no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—21no—
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—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
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—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—44no—
1935C2×C4—44no—
1936C2×C4—44no—
1937C2×C4—48no—
1938C2×C4—84no—
1939C2×C4—84no—
1940C2×C4—84no—
1941C2×C4—84no—
1942C2×C4—84no—
1943C2×C4—82no—
1944C2×C4—82no—
1945C2×C4—84no—
1946C2×C4—162no—
1947C2×C4—162no—
1948C2×C4C2×H(5,𝔽2)14yes—
1949C22—24no—
1950C22—24no—
1951C22—22no—
1952C22—22no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—42no—
1958C22—42no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—42no—
1963C22—42no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—88no—
1968C22#353314yes—
1969C22C22×H(5,𝔽2)11yescharacteristic
1970C22C2×#58512yes—
1971C222−1+612yes—
1972C222−1+611yescharacteristic
1973C222−1+611yescharacteristic
1974C4—24no—
1975C4—41no—
1976C4—41no—
1977C4—41no—
1978C4—42no—
1979C4—41no—
1980C4—42no—
1981C4—42no—
1982C4—42no—
1983C4—42no—
1984C4—42no—
1985C4—42no—
1986C4—42no—
1987C4—42no—
1988C4—42no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—42no—
1993C4—42no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—41no—
2004C4—41no—
2005C4—42no—
2006C2—24no—
2007C2—82no—
2008C2—82no—
2009C2C2×#353311yescharacteristic
2010C2#6288611yescharacteristic
2011C2#6288711yescharacteristic
2012C2#6306412yes—
2013C2#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. #58347C2semidirect
2. #58292C2semidirect
3. #57630C2semidirect
4. #57539C2semidirect
5. #57532C2semidirect
6. #57352C2semidirect
7. #57339C2semidirect
8. #55303C2semidirect
9. #55288C2semidirect
10. #54917C2semidirect
11. #54902C2semidirect
12. #54640C2semidirect
13. #52913C2semidirect
14. #52817C2semidirect
15. #52719C2semidirect
16. #52703C2semidirect
17. #52651C2semidirect
18. #52570C2semidirect
19. #52434C2semidirect
20. #44795C2semidirect
21. #44512C2semidirect
22. #44475C2semidirect
23. #44465C2semidirect
24. #43710C2semidirect
25. #42319C2semidirect
26. #42319C2semidirect
27. #41554C2semidirect
29. #41391C2semidirect
30. #37855C2semidirect
31. #37841C2semidirect
33. C2×#2817C2semidirect
34. #36086C2semidirect
35. #35672C2semidirect
42. #2844C22semidirect
43. #2843C22semidirect
44. #2841C22semidirect
45. #2839C22semidirect
46. #2839C22semidirect
47. #2839C22semidirect
50. #2838C22semidirect
51. #2838C22semidirect
56. #2835C22semidirect
57. #2833C22semidirect
58. #2833C22semidirect
59. #2833C22semidirect
60. #2833C22semidirect
64. #2831C22semidirect
65. #2831C22semidirect
67. #2830C22semidirect
78. #2809C22semidirect
79. #2806C22semidirect
80. #2806C22semidirect
81. #2805C22semidirect
82. #2805C22semidirect
83. #2805C22semidirect
84. #2804C22semidirect
85. #2802C22semidirect
88. #2799C22semidirect
92. #2798C22semidirect
95. #2794C22semidirect
96. #2794C22semidirect
97. #2794C22semidirect
98. #2792C22semidirect
99. #2792C22semidirect
100. #2789C22semidirect
101. #2788C22semidirect
102. #2788C22semidirect
104. #2784C22semidirect
110. #2775C22semidirect
111. #2775C22semidirect
112. #2774C22semidirect
113. #2774C22semidirect
114. #2774C22semidirect
115. #2774C22semidirect
116. #2774C22semidirect
117. #2774C22semidirect
124. #2771C22semidirect
125. #2770C22semidirect
126. #2769C22semidirect
127. #2769C22semidirect
128. #2767C22semidirect
129. #2767C22semidirect
130. #2767C22semidirect
131. #2766C22semidirect
132. #2762C22semidirect
133. #2762C22semidirect
134. #2762C22semidirect
138. #2759C22semidirect
139. #2759C22semidirect
140. #2758C22semidirect
141. #2758C22semidirect
142. #2758C22semidirect
143. #2755C22semidirect
147. #2754C22semidirect
151. #2747C22semidirect
154. #2745C22semidirect
155. #2745C22semidirect
156. #2745C22semidirect
158. #2744C22semidirect
160. #2742C22semidirect
169. #2737C22semidirect
170. #2725C22semidirect
175. #2720C22semidirect
176. #2719C22semidirect
177. #2719C22semidirect
178. #2718C22semidirect
183. #2698C22semidirect
186. #2695C22semidirect
193. #2689C22semidirect
194. #2666C22semidirect
195. #2666C22semidirect
196. #2666C22semidirect
197. #2666C22semidirect
198. #2665C22semidirect
199. #2665C22semidirect
200. #2655C22semidirect
201. #2655C22semidirect
205. #2652C22semidirect
209. #2650C22semidirect
210. #2650C22semidirect
212. #2646C22semidirect
214. #2637C22semidirect
215. #2634C22semidirect
221. #2612C22semidirect
222. #2605C22semidirect
223. #2604C22semidirect
224. #2599C22semidirect
227. #2597C22semidirect
232. #2593C22semidirect
233. #2590C22semidirect
234. #2588C22semidirect
235. #2588C22semidirect
236. #2586C22semidirect
237. #2586C22semidirect
238. #2586C22semidirect
239. #2584C22semidirect
240. #2581C22semidirect
243. #2575C22semidirect
244. #2574C22semidirect
245. #2574C22semidirect
248. #2571C22semidirect
249. #2570C22semidirect
261. #2533C22semidirect
262. #2533C22semidirect
263. #2528C22semidirect
264. #2528C22semidirect
270. #2524C22semidirect
271. #2520C22semidirect
275. #2511C22semidirect
276. #2511C22semidirect
279. #2506C22semidirect
286. #2496C22semidirect
293. #2493C22semidirect
294. #2489C22semidirect
297. #2488C22semidirect
311. #2470C22semidirect
312. #2469C22semidirect
313. #2469C22semidirect
314. #2469C22semidirect
317. #2465C22semidirect
318. #2465C22semidirect
319. #2462C22semidirect
320. #2462C22semidirect
321. #2462C22semidirect
322. #2462C22semidirect
323. #2453C22semidirect
331. #2438C22semidirect
349. #2399C22semidirect
350. #2396C22semidirect

Maximal subgroups

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

subgroupindex
#583472
#582922
#576302
#575392
#575322
#573522
#573392
#553032
#552882
#549172
#549022
#546402
#529132
#528172
#527192
#527032
#526512
#525702
#524342
#447952
#445122
#444752
#444652
#437102
#423192
#415542
#414732
#413912
#378552
#378412
#371182
C2×#28172
#360862
#356722