Finite Group Databasebeta

← #9947237

Subgroups — #9947237

Order 512.

4454 conjugacy classes of subgroups.

The subgroup lattice has 2129 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59915C211yesmaximal, characteristic, complemented
2#59150C212yesmaximal, complemented
3#58817C212yesmaximal, complemented
4#58485C212yesmaximal, complemented
5#58155C212yesmaximal, complemented
6#58096C212yesmaximal, complemented
7#57891C212yesmaximal, complemented
8#57662C212yesmaximal, complemented
9#55492C211yesmaximal, characteristic, complemented
10#54626C212yesmaximal, complemented
11#54474C211yesmaximal, characteristic, complemented
12#53793C212yesmaximal, complemented
13#52078C212yesmaximal, complemented
14#52021C212yesmaximal, complemented
15#52019C212yesmaximal, complemented
16#51738C212yesmaximal, complemented
17#51209C211yesmaximal, characteristic, complemented
18#51192C212yesmaximal, complemented
19#48762C212yesmaximal, complemented
20#48288C212yesmaximal, complemented
21#48217C212yesmaximal, complemented
22#47837C211yesmaximal, characteristic, complemented
23#46433C212yesmaximal, complemented
24#44657C212yesmaximal, complemented
25#43407C212yesmaximal, complemented
26#43044C212yesmaximal, complemented
27#42921C212yesmaximal, complemented
28#42851C212yesmaximal, complemented
29#41627C212yesmaximal, complemented
30#41135C212yesmaximal, complemented
31#40963C212yesmaximal, complemented
32#40948C212yesmaximal, complemented
33#39813C212yesmaximal, complemented
34#39723C211yesmaximal, characteristic, complemented
35#37527C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic, complemented
37C2×#554C2212yes—
38C2×#548C2211yescharacteristic
39C2×#539C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic
41#2847C2211yescharacteristic
42#2844C2211yescharacteristic, complemented
43#2842C2211yescharacteristic
44#2839C2212yescomplemented
45#2839C2212yescomplemented
46#2838C2212yescomplemented
47#2835C2212yes—
48#2834C2211yescharacteristic, complemented
49#2831C2212yescomplemented
50#2831C2212yescomplemented
51#2829C2212yescomplemented
52#2827C2212yescomplemented
53#2826C2212yes—
54#2825C2212yes—
55#2820C2212yescomplemented
56#2812C2211yescharacteristic
57#2812C2212yes—
58#2807C2211yescharacteristic, complemented
59#2807C2212yescomplemented
60#2807C2211yescharacteristic, complemented
61#2805C2212yescomplemented
62#2805C2212yescomplemented
63#2804C2211yescharacteristic
64#2797C2212yes—
65#2796C2212yes—
66#2796C2212yes—
67#2795C2212yescomplemented
68#2795C2211yescharacteristic, complemented
69#2793C2212yescomplemented
70#2790C2212yes—
71#2790C2212yes—
72#2790C2212yes—
73#2788C2212yescomplemented
74#2787C2212yes—
75#2787C2212yes—
76#2786C2212yescomplemented
77#2784C2212yes—
78#2783C2212yescomplemented
79#2783C2212yescomplemented
80#2782C2212yes—
81#2782C2212yes—
82#2782C2212yes—
83#2782C2212yes—
84#2782C2211yescharacteristic, complemented
85#2781C2212yes—
86#2781C2212yes—
87#2781C2212yes—
88#2780C2212yes—
89#2779C2212yes—
90#2779C2212yes—
91#2779C2212yescomplemented
92#2778C2212yes—
93#2778C2212yes—
94#2776C2212yescomplemented
95#2776C2212yescomplemented
96#2774C2212yescomplemented
97#2773C2212yescomplemented
98#2771C2212yescomplemented
99#2770C2212yescomplemented
100#2770C2212yescomplemented
101#2770C2212yescomplemented
102#2769C2212yescomplemented
103#2768C2212yes—
104#2767C2212yescomplemented
105#2767C2212yescomplemented
106#2767C2212yescomplemented
107#2766C2212yescomplemented
108#2765C2212yescomplemented
109#2762C2212yescomplemented
110#2761C2212yescomplemented
111#2759C2212yescomplemented
112#2759C2212yescomplemented
113#2758C2212yescomplemented
114#2757C2212yes—
115#2753C2212yes—
116#2750C2212yes—
117#2750C2212yes—
118#2748C2211yescharacteristic
119#2748C2212yes—
120#2747C2212yescomplemented
121#2745C2212yescomplemented
122#2744C2212yescomplemented
123#2739C2212yescomplemented
124#2739C2212yescomplemented
125#2732C2212yes—
126#2732C2212yes—
127#2732C2212yescomplemented
128#2730C2212yes—
129#2730C2212yes—
130#2730C2212yescomplemented
131#2730C2212yescomplemented
132#2729C2212yes—
133#2729C2212yescomplemented
134#2728C2212yes—
135#2728C2212yes—
136#2728C2212yes—
137#2723C2212yes—
138#2723C2212yes—
139#2721C2212yescomplemented
140#2720C2212yes—
141#2720C2212yes—
142#2720C2212yescomplemented
143#2719C2212yescomplemented
144#2718C2212yescomplemented
145#2718C2212yescomplemented
146#2715C2212yescomplemented
147#2715C2212yescomplemented
148#2714C2212yes—
149#2712C2212yescomplemented
150#2710C2212yescomplemented
151#2708C2212yes—
152#2708C2212yescomplemented
153#2707C2212yescomplemented
154#2704C2212yes—
155#2704C2212yes—
156#2703C2212yes—
157#2703C2212yes—
158#2703C2212yes—
159#2702C2212yes—
160#2698C2212yescomplemented
161#2698C2212yescomplemented
162#2696C2212yescomplemented
163#2696C2212yescomplemented
164#2695C2212yescomplemented
165#2694C2212yescomplemented
166#2692C2212yes—
167#2692C2212yes—
168#2692C2212yes—
169#2690C2212yescomplemented
170#2690C2212yescomplemented
171#2688C2212yes—
172#2687C2212yescomplemented
173#2681C2212yes—
174#2681C2212yescomplemented
175#2680C2212yescomplemented
176#2676C2212yes—
177#2674C2212yescomplemented
178#2672C2212yescomplemented
179#2666C2212yescomplemented
180#2666C2212yescomplemented
181#2666C2212yescomplemented
182#2654C2212yescomplemented
183#2653C2212yes—
184#2652C2212yes—
185#2652C2212yes—
186#2652C2212yes—
187#2650C2212yescomplemented
188#2649C2212yes—
189#2649C2212yes—
190#2649C2212yes—
191#2648C2212yes—
192#2645C2212yescomplemented
193#2637C2212yescomplemented
194#2636C2212yes—
195#2636C2212yes—
196#2636C2212yes—
197#2636C2212yes—
198#2635C2211yescharacteristic
199#2634C2211yescharacteristic, complemented
200#2633C2211yescharacteristic
201#2631C2212yes—
202#2630C2212yes—
203#2630C2212yescomplemented
204#2625C2212yescomplemented
205#2617C2212yes—
206#2617C2212yes—
207#2617C2212yes—
208#2615C2211yescharacteristic, complemented
209#2609C2212yescomplemented
210#2604C2212yescomplemented
211#2603C2212yes—
212#2602C2212yes—
213#2602C2212yes—
214#2601C2212yescomplemented
215#2601C2212yescomplemented
216#2600C2212yes—
217#2598C2212yes—
218#2598C2212yes—
219#2598C2212yes—
220#2597C2212yes—
221#2595C2212yes—
222#2595C2212yes—
223#2591C2212yes—
224#2590C2212yescomplemented
225#2589C2212yes—
226#2589C2212yes—
227#2584C2211yescharacteristic, complemented
228#2583C2212yes—
229#2582C2212yescomplemented
230#2579C2212yes—
231#2579C2211yescharacteristic
232#2579C2212yes—
233#2579C2212yes—
234#2578C2212yes—
235#2577C2212yes—
236#2574C2212yes—
237#2571C2211yescharacteristic, complemented
238#2570C2212yescomplemented
239#2569C2212yes—
240#2568C2212yescomplemented
241#2566C2211yescharacteristic
242#2566C2212yes—
243#2564C2212yes—
244#2559C2212yes—
245#2559C2212yes—
246#2559C2212yes—
247#2556C2212yes—
248#2556C2212yes—
249#2549C2212yes—
250#2543C2212yes—
251#2538C2212yes—
252#2536C2212yes—
253#2536C2212yescomplemented
254#2532C2212yescomplemented
255#2530C2212yes—
256#2522C2212yes—
257#2519C2212yescomplemented
258#2519C2212yescomplemented
259#2519C2212yescomplemented
260#2518C2212yes—
261#2518C2212yes—
262#2518C2212yes—
263#2518C2212yes—
264#2517C2211yescharacteristic
265#2517C2211yescharacteristic, complemented
266#2511C2212yescomplemented
267#2510C2212yes—
268#2506C2212yescomplemented
269#2505C2212yes—
270#2504C2211yescharacteristic
271#2502C2212yes—
272#2499C2212yescomplemented
273#2495C2212yes—
274#2495C2212yes—
275#2494C2212yes—
276#2487C2211yescharacteristic
277#2481C2212yes—
278#2481C2212yescomplemented
279#2476C2212yes—
280#2476C2212yes—
281#2473C2212yes—
282#2473C2212yes—
283#2473C2212yes—
284#2473C2212yescomplemented
285#2470C2212yescomplemented
286#2469C2212yescomplemented
287#2469C2212yescomplemented
288#2469C2212yescomplemented
289#2468C2212yes—
290#2467C2212yes—
291#2467C2212yes—
292#2466C2212yes—
293#2466C2212yes—
294#2465C2212yes—
295#2465C2212yes—
296#2463C2212yes—
297#2463C2212yes—
298#2462C2212yescomplemented
299#2461C2212yes—
300#2461C2212yes—
301#2461C2212yescomplemented
302#2460C2212yes—
303#2459C2212yes—
304#2457C2212yes—
305#2456C2212yes—
306#2456C2212yes—
307#2456C2212yes—
308#2456C2212yes—
309#2455C2212yes—
310#2455C2212yes—
311#2455C2211yescharacteristic
312#2454C2212yes—
313#2452C2212yes—
314#2450C2212yes—
315#2450C2212yes—
316#2450C2212yes—
317#2449C2212yes—
318#2449C2212yes—
319#2449C2212yes—
320#2449C2212yes—
321#2449C2212yes—
322#2449C2212yescomplemented
323#2444C2212yes—
324#2443C2212yes—
325#2443C2212yescomplemented
326#2440C2212yes—
327#2440C2212yescomplemented
328#2437C2212yes—
329#2437C2212yes—
330#2437C2212yes—
331#2434C2212yes—
332#2429C2212yescomplemented
333#2429C2212yescomplemented
334#2426C2212yes—
335#2426C2212yes—
336#2423C2212yes—
337#2421C2212yes—
338#2421C2212yes—
339#2417C2212yes—
340#2415C2212yes—
341#2413C2212yescomplemented
342#2409C2212yes—
343#2407C2212yes—
344#2406C2212yescomplemented
345#2406C2211yescharacteristic, complemented
346#2398C2212yes—
347#2395C2212yes—
348#2392C2212yes—
349#2383C2212yescomplemented
350#2383C2212yescomplemented
351#2378C2211yescharacteristic, complemented
352#2368C2212yes—
353#2368C2212yes—
354#2367C2212yescomplemented
355#2362C2212yescomplemented
356#2362C2212yescomplemented
357#2361C2212yes—
358#2360C2212yes—
359#2358C2212yes—
360#2358C2212yes—
361#2358C2211yescharacteristic
362#2358C2211yescharacteristic
363#2352C2212yes—
364D4×C4⋊C4C2212yes—
365D4×C4⋊C4C2212yes—
366Q8×C22⋊C4C2211yescharacteristic
367#2337C2211yescharacteristic, complemented
368#2337C2212yescomplemented
369#2336C2212yescomplemented
370#2327C2212yescomplemented
371#2322C2212yescomplemented
372#2321C2212yes—
373#2321C2212yes—
374#2321C2212yes—
375#2317C2212yescomplemented
376C4×#120C2211yescharacteristic
377C4×#120C2212yes—
378C2×#385C2212yes—
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C24×C4C2311yescharacteristic
382#563—44no—
383#554—48no—
384#548—44no—
385#539—44no—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#124C2311yescharacteristic
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×C22⋊Q8—44no—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
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×C4×D4C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C2×#117C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2312yes—
468C22×C4⋊C4C2311yescharacteristic
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2312yes—
475C22×C22⋊C4C2312yes—
476#401C2312yes—
477#401C2312yes—
478#401C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2311yescharacteristic
491#400C2312yes—
492#400C2311yescharacteristic
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#400C2311yescharacteristic
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#399C2312yes—
524#399C2311yescharacteristic
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2311yescharacteristic
530#399C2312yes—
531#399C2312yes—
532#399C2311yescharacteristic
533#399C2311yescharacteristic
534#399C2312yes—
535#399C2311yescharacteristic
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
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#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2311yescharacteristic
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2311yescharacteristic
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
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#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2311yescharacteristic
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2311yescharacteristic
716#392C2312yes—
717#392C2312yes—
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#390C2311yescharacteristic
738#390C2311yescharacteristic
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
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#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#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#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#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2311yescharacteristic
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2311yescharacteristic
936#386C2312yes—
937#386C2311yescharacteristic
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2311yescharacteristic
986#385C2312yes—
987#385C2311yescharacteristic
988#385C2311yescharacteristic
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#384C2311yescharacteristic
1024#384C2312yes—
1025#384C2312yes—
1026#384C2312yes—
1027#384C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#383C2312yes—
1031#383C2311yescharacteristic
1032#383C2312yes—
1033#383C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2311yescharacteristic
1048#381C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2311yescharacteristic
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#379C2311yescharacteristic
1070#379C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2311yescharacteristic
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100#376C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C2×#41—42no—
1105C2×#41—82no—
1106C22×Q8—24no—
1107C22×Q8—82no—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C23×C4—42no—
1129C23×C4—82no—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2411yescharacteristic
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C4⋊Q8—28no—
1150C4⋊Q8—82no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#126—44no—
1155#126—44no—
1156#126—82no—
1157#125—44no—
1158#125—42no—
1159#125—42no—
1160#125—44no—
1161#125—44no—
1162#125—44no—
1163#124—24no—
1164#124—44no—
1165#124—44no—
1166#124—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—82no—
1172#123—82no—
1173#123—82no—
1174C22⋊Q8—28no—
1175C22⋊Q8—24no—
1176C22⋊Q8—28no—
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—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—82no—
1191C22⋊Q8—82no—
1192C22⋊Q8—82no—
1193C22⋊Q8—82no—
1194#121—44no—
1195#121—42no—
1196#121—44no—
1197#121—42no—
1198#121—82no—
1199#121—82no—
1200#121—82no—
1201#120—28no—
1202#120—24no—
1203#120—28no—
1204C4×Q8—44no—
1205C4×Q8—42no—
1206C4×Q8—82no—
1207C4×Q8—82no—
1208C4×Q8—82no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—42no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—82no—
1219C4×D4—82no—
1220C4×D4—82no—
1221C4×D4—82no—
1222C4×D4—82no—
1223C4×D4—82no—
1224C4×D4—82no—
1225#117—44no—
1226#117—82no—
1227#117—82no—
1228C2×C4⋊C4—44no—
1229C2×C4⋊C4—42no—
1230C2×C4⋊C4—42no—
1231C2×C4⋊C4—44no—
1232C2×C4⋊C4—44no—
1233C2×C4⋊C4—82no—
1234C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×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⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—44no—
1325C2×C22⋊C4—44no—
1326C2×C22⋊C4—82no—
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⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊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⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
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×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2411yescharacteristic
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2411yescharacteristic
1408C2×C22⋊C4C2411yescharacteristic
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2411yescharacteristic
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2411yescharacteristic
1510#95C2412yes—
1511#95C2411yescharacteristic
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2411yescharacteristic
1517#95C2412yes—
1518#95C2412yes—
1519#95C2411yescharacteristic
1520#95C2412yes—
1521#95C2412yes—
1522#95C2411yescharacteristic
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541C24—41no—
1542C24—42no—
1543C24—42no—
1544C24—41no—
1545C242−1+414yes—
1546C24C2512yes—
1547C24C2512yes—
1548C24C2511yescharacteristic
1549C24C2512yes—
1550C24C2511yescharacteristic
1551#41—88no—
1552C2×Q8—22no—
1553C2×Q8—24no—
1554C2×Q8—24no—
1555C2×Q8—24no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—88no—
1568C2×Q8H(5,𝔽2)14yes—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—22no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—22no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C2×D4—41no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C22×C4—22no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—22no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—41no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—41no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—41no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—88no—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2511yescharacteristic
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2511yescharacteristic
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—22no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
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—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—41no—
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—41no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—41no—
1761C4⋊C4—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—41no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—22no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—41no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—41no—
1817C22⋊C4—41no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—41no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—41no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C42—22no—
1866C42—24no—
1867C42—24no—
1868C42—24no—
1869C42—24no—
1870C42—41no—
1871C42—41no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C23—22no—
1890C23—21no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—21no—
1899C23—22no—
1900C23—22no—
1901C23—21no—
1902C23—22no—
1903C23—21no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—21no—
1916C23—22no—
1917C23—22no—
1918C23—44no—
1919C23—48no—
1920C23—82no—
1921C23—82no—
1922C23—84no—
1923C23C2×2−1+414yes—
1924C23C2×2−1+412yes—
1925C23C2611yescharacteristic
1926Q8—44no—
1927Q8—44no—
1928Q8—84no—
1929Q8—84no—
1930Q8—84no—
1931Q8—84no—
1932D4—48no—
1933D4—48no—
1934D4—48no—
1935D4—82no—
1936D4—82no—
1937D4—84no—
1938D4—84no—
1939D4—84no—
1940D4—84no—
1941D4—84no—
1942D4—84no—
1943D4—84no—
1944D4—161no—
1945D4—162no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—21no—
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—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—22no—
1968C2×C4—21no—
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—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—48no—
2030C2×C4—44no—
2031C2×C4—84no—
2032C2×C4—84no—
2033C2×C4—84no—
2034C2×C4—84no—
2035C2×C4—82no—
2036C2×C4—82no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—82no—
2042C2×C4—84no—
2043C2×C4—162no—
2044C2×C4—161no—
2045C2×C4—162no—
2046C2×C4—162no—
2047C2×C4—162no—
2048C2×C4C2×H(5,𝔽2)14yes—
2049C2×C4C2×H(5,𝔽2)12yes—
2050C2×C4#58514yes—
2051C22—24no—
2052C22—22no—
2053C22—24no—
2054C22—24no—
2055C22—24no—
2056C22—41no—
2057C22—42no—
2058C22—41no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—41no—
2064C22—42no—
2065C22—42no—
2066C22—41no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—41no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—88no—
2083C22C22×H(5,𝔽2)11yescharacteristic
2084C22C22×2−1+411yescharacteristic
2085C22C2×#58512yes—
2086C22H(7,𝔽2)12yes—
2087C222−1+611yescharacteristic
2088C4—22no—
2089C4—24no—
2090C4—24no—
2091C4—41no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C4—42no—
2097C4—41no—
2098C4—42no—
2099C4—41no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—41no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C2—44no—
2119C2—42no—
2120C2—81no—
2121C2—82no—
2122C2—82no—
2123C2#6286311yescharacteristic
2124C2#6286812yes—
2125C2#6289311yescharacteristic
2126C2#6290212yes—
2127C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59915C2semidirect
2. #59150C2semidirect
3. #58817C2semidirect
4. #58485C2semidirect
5. #58155C2semidirect
6. #58096C2semidirect
7. #57891C2semidirect
8. #57662C2semidirect
9. #55492C2semidirect
10. #54626C2semidirect
11. #54474C2semidirect
12. #53793C2semidirect
13. #52078C2semidirect
14. #52021C2semidirect
15. #52019C2semidirect
16. #51738C2semidirect
17. #51209C2semidirect
18. #51192C2semidirect
19. #48762C2semidirect
20. #48288C2semidirect
21. #48217C2semidirect
22. #47837C2semidirect
23. #46433C2semidirect
24. #44657C2semidirect
25. #43407C2semidirect
26. #43044C2semidirect
27. #42921C2semidirect
28. #42851C2semidirect
29. #41627C2semidirect
30. #41135C2semidirect
31. #40963C2semidirect
32. #40948C2semidirect
33. #39813C2semidirect
34. #39723C2semidirect
35. #37527C2semidirect
36. C2×#563C22semidirect
39. C2×#539C22semidirect
42. #2844C22semidirect
44. #2839C22semidirect
45. #2839C22semidirect
46. #2838C22semidirect
48. #2834C22semidirect
49. #2831C22semidirect
50. #2831C22semidirect
51. #2829C22semidirect
52. #2827C22semidirect
55. #2820C22semidirect
58. #2807C22semidirect
59. #2807C22semidirect
60. #2807C22semidirect
61. #2805C22semidirect
62. #2805C22semidirect
67. #2795C22semidirect
68. #2795C22semidirect
69. #2793C22semidirect
73. #2788C22semidirect
76. #2786C22semidirect
78. #2783C22semidirect
79. #2783C22semidirect
84. #2782C22semidirect
91. #2779C22semidirect
94. #2776C22semidirect
95. #2776C22semidirect
96. #2774C22semidirect
97. #2773C22semidirect
98. #2771C22semidirect
99. #2770C22semidirect
100. #2770C22semidirect
101. #2770C22semidirect
102. #2769C22semidirect
104. #2767C22semidirect
105. #2767C22semidirect
106. #2767C22semidirect
107. #2766C22semidirect
108. #2765C22semidirect
109. #2762C22semidirect
110. #2761C22semidirect
111. #2759C22semidirect
112. #2759C22semidirect
113. #2758C22semidirect
120. #2747C22semidirect
121. #2745C22semidirect
122. #2744C22semidirect
123. #2739C22semidirect
124. #2739C22semidirect
127. #2732C22semidirect
130. #2730C22semidirect
131. #2730C22semidirect
133. #2729C22semidirect
139. #2721C22semidirect
142. #2720C22semidirect
143. #2719C22semidirect
144. #2718C22semidirect
145. #2718C22semidirect
146. #2715C22semidirect
147. #2715C22semidirect
149. #2712C22semidirect
150. #2710C22semidirect
152. #2708C22semidirect
153. #2707C22semidirect
160. #2698C22semidirect
161. #2698C22semidirect
162. #2696C22semidirect
163. #2696C22semidirect
164. #2695C22semidirect
165. #2694C22semidirect
169. #2690C22semidirect
170. #2690C22semidirect
172. #2687C22semidirect
174. #2681C22semidirect
175. #2680C22semidirect
177. #2674C22semidirect
178. #2672C22semidirect
179. #2666C22semidirect
180. #2666C22semidirect
181. #2666C22semidirect
182. #2654C22semidirect
187. #2650C22semidirect
192. #2645C22semidirect
193. #2637C22semidirect
199. #2634C22semidirect
203. #2630C22semidirect
204. #2625C22semidirect
208. #2615C22semidirect
209. #2609C22semidirect
210. #2604C22semidirect
214. #2601C22semidirect
215. #2601C22semidirect
224. #2590C22semidirect
227. #2584C22semidirect
229. #2582C22semidirect
237. #2571C22semidirect
238. #2570C22semidirect
240. #2568C22semidirect
253. #2536C22semidirect
254. #2532C22semidirect
257. #2519C22semidirect
258. #2519C22semidirect
259. #2519C22semidirect
265. #2517C22semidirect
266. #2511C22semidirect
268. #2506C22semidirect
272. #2499C22semidirect
278. #2481C22semidirect
284. #2473C22semidirect
285. #2470C22semidirect
286. #2469C22semidirect
287. #2469C22semidirect
288. #2469C22semidirect
298. #2462C22semidirect
301. #2461C22semidirect
322. #2449C22semidirect
325. #2443C22semidirect
327. #2440C22semidirect
332. #2429C22semidirect
333. #2429C22semidirect
341. #2413C22semidirect
344. #2406C22semidirect
345. #2406C22semidirect
349. #2383C22semidirect
350. #2383C22semidirect
351. #2378C22semidirect
354. #2367C22semidirect
355. #2362C22semidirect
356. #2362C22semidirect
367. #2337C22semidirect
368. #2337C22semidirect
369. #2336C22semidirect
370. #2327C22semidirect
371. #2322C22semidirect
375. #2317C22semidirect

Maximal subgroups

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

subgroupindex
#599152
#591502
#588172
#584852
#581552
#580962
#578912
#576622
#554922
#546262
#544742
#537932
#520782
#520212
#520192
#517382
#512092
#511922
#487622
#482882
#482172
#478372
#464332
#446572
#434072
#430442
#429212
#428512
#416272
#411352
#409632
#409482
#398132
#397232
#375272