Finite Group Databasebeta

← #9064163

Subgroups — #9064163

Order 512.

4326 conjugacy classes of subgroups.

The subgroup lattice has 2061 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58953C212yesmaximal, complemented
2#58540C212yesmaximal, complemented
3#57895C212yesmaximal, complemented
4#55824C212yesmaximal, complemented
5#53494C211yesmaximal, characteristic, complemented
6#51664C212yesmaximal, complemented
7#51375C212yesmaximal, complemented
8#51262C212yesmaximal, complemented
9#51134C212yesmaximal, complemented
10#50984C212yesmaximal, complemented
11#50926C212yesmaximal, complemented
12#50525C212yesmaximal, complemented
13#48866C212yesmaximal, complemented
14#48783C211yesmaximal, characteristic, complemented
15#47962C211yesmaximal, characteristic, complemented
16#45210C212yesmaximal, complemented
17#45143C212yesmaximal, complemented
18#44824C211yesmaximal, characteristic, complemented
19#44660C212yesmaximal, complemented
20#44652C212yesmaximal, complemented
21#44440C212yesmaximal, complemented
22#43493C211yesmaximal, characteristic, complemented
23#43413C212yesmaximal, complemented
24#43041C212yesmaximal, complemented
25#43025C212yesmaximal, complemented
26#42020C212yesmaximal, complemented
27#41639C211yesmaximal, characteristic
28#41221C212yesmaximal, complemented
29#41074C212yesmaximal, complemented
30#40851C212yesmaximal, complemented
31#35949C211yesmaximal, characteristic, complemented
32#35855C212yesmaximal, complemented
33#35795C212yesmaximal, complemented
34#35780C212yesmaximal, complemented
35#35779C212yesmaximal, complemented
36C2×#557C2211yescharacteristic, complemented
37C2×#554C2212yes—
38C2×#552C2211yescharacteristic
39C2×#543C2211yescharacteristic
40C2×#539C2211yescharacteristic, complemented
41#2843C2211yescharacteristic, complemented
42#2843C2212yescomplemented
43#2839C2212yescomplemented
44#2839C2212yescomplemented
45#2837C2212yescomplemented
46#2834C2211yescharacteristic
47#2832C2212yescomplemented
48#2827C2212yes—
49#2812C2211yescharacteristic
50#2805C2212yescomplemented
51#2804C2211yescharacteristic
52#2802C2212yescomplemented
53#2802C2212yescomplemented
54#2802C2212yescomplemented
55#2798C2212yescomplemented
56#2795C2211yescharacteristic, complemented
57#2791C2212yescomplemented
58#2790C2212yes—
59#2789C2212yescomplemented
60#2788C2212yescomplemented
61#2787C2212yes—
62#2782C2212yes—
63#2778C2212yes—
64#2777C2212yescomplemented
65#2777C2212yescomplemented
66#2776C2212yescomplemented
67#2776C2212yescomplemented
68#2776C2212yescomplemented
69#2775C2212yescomplemented
70#2775C2212yescomplemented
71#2774C2212yescomplemented
72#2774C2212yescomplemented
73#2774C2212yescomplemented
74#2774C2212yescomplemented
75#2772C2212yescomplemented
76#2772C2212yescomplemented
77#2771C2212yes—
78#2770C2212yes—
79#2770C2212yes—
80#2770C2212yes—
81#2770C2212yescomplemented
82#2768C2212yes—
83#2766C2212yescomplemented
84#2766C2212yescomplemented
85#2766C2212yescomplemented
86#2765C2212yescomplemented
87#2763C2211yescharacteristic, complemented
88#2762C2212yescomplemented
89#2762C2212yescomplemented
90#2758C2212yescomplemented
91#2758C2212yescomplemented
92#2757C2212yes—
93#2756C2212yes—
94#2753C2212yes—
95#2751C2212yes—
96#2750C2212yes—
97#2750C2212yes—
98#2749C2212yes—
99#2748C2212yes—
100#2748C2211yescharacteristic
101#2744C2212yes—
102#2741C2212yes—
103#2741C2212yescomplemented
104#2739C2212yes—
105#2738C2212yescomplemented
106#2732C2212yes—
107#2729C2212yes—
108#2729C2212yes—
109#2729C2212yescomplemented
110#2729C2212yescomplemented
111#2729C2212yescomplemented
112#2728C2212yes—
113#2728C2212yes—
114#2726C2212yescomplemented
115#2723C2212yes—
116#2723C2212yescomplemented
117#2721C2212yescomplemented
118#2720C2212yes—
119#2719C2212yescomplemented
120#2719C2212yescomplemented
121#2719C2212yescomplemented
122#2719C2212yescomplemented
123#2719C2212yescomplemented
124#2718C2212yescomplemented
125#2707C2212yescomplemented
126#2706C2212yes—
127#2706C2212yes—
128#2704C2212yes—
129#2704C2212yes—
130#2702C2212yes—
131#2698C2212yescomplemented
132#2698C2212yescomplemented
133#2696C2212yes—
134#2692C2212yes—
135#2692C2212yes—
136#2690C2212yes—
137#2690C2212yes—
138#2689C2212yescomplemented
139#2687C2212yescomplemented
140#2683C2212yes—
141#2683C2212yes—
142#2681C2212yes—
143#2681C2212yes—
144#2681C2212yescomplemented
145#2680C2212yescomplemented
146#2680C2211yescharacteristic, complemented
147#2677C2211yescharacteristic, complemented
148#2677C2212yescomplemented
149#2667C2212yes—
150#2666C2212yescomplemented
151#2665C2212yes—
152#2664C2212yescomplemented
153#2663C2212yescomplemented
154#2653C2212yes—
155#2652C2212yes—
156#2652C2212yes—
157#2652C2212yes—
158#2650C2212yescomplemented
159#2650C2212yescomplemented
160#2650C2212yescomplemented
161#2650C2212yescomplemented
162#2649C2212yes—
163#2648C2212yes—
164#2648C2212yes—
165#2647C2212yescomplemented
166#2642C2211yescharacteristic, complemented
167#2635C2211yescharacteristic
168#2630C2212yes—
169#2626C2212yes—
170#2624C2211yescharacteristic, complemented
171#2622C2212yes—
172#2617C2212yes—
173#2611C2212yes—
174#2608C2212yes—
175#2608C2212yes—
176#2606C2212yescomplemented
177#2604C2212yescomplemented
178#2604C2212yescomplemented
179#2602C2212yes—
180#2601C2212yes—
181#2599C2212yescomplemented
182#2597C2212yes—
183#2597C2212yes—
184#2595C2212yes—
185#2591C2212yes—
186#2587C2212yes—
187#2587C2212yes—
188#2584C2211yescharacteristic, complemented
189#2583C2212yes—
190#2583C2212yes—
191#2581C2212yescomplemented
192#2581C2212yescomplemented
193#2580C2212yes—
194#2579C2211yescharacteristic
195#2578C2212yes—
196#2578C2212yes—
197#2576C2212yes—
198#2576C2212yes—
199#2576C2212yes—
200#2576C2212yes—
201#2574C2212yes—
202#2574C2212yes—
203#2573C2212yes—
204#2572C2212yes—
205#2571C2211yescharacteristic, complemented
206#2564C2211yescharacteristic
207#2560C2212yes—
208#2560C2212yes—
209#2560C2212yescomplemented
210#2559C2212yes—
211#2558C2212yes—
212#2558C2212yes—
213#2558C2212yescomplemented
214#2556C2212yes—
215#2556C2212yes—
216#2554C2212yes—
217#2549C2212yes—
218#2542C2211yescharacteristic
219#2538C2212yes—
220#2536C2212yes—
221#2533C2212yescomplemented
222#2533C2212yescomplemented
223#2531C2212yes—
224#2531C2212yes—
225#2530C2212yes—
226#2530C2212yes—
227#2530C2212yescomplemented
228#2528C2212yescomplemented
229#2528C2212yescomplemented
230#2527C2212yescomplemented
231#2526C2212yes—
232#2525C2212yescomplemented
233#2525C2212yescomplemented
234#2525C2212yescomplemented
235#2524C2212yescomplemented
236#2524C2212yescomplemented
237#2523C2212yes—
238#2523C2211yescharacteristic, complemented
239#2522C2212yes—
240#2520C2212yescomplemented
241#2518C2212yes—
242#2518C2212yes—
243#2518C2212yes—
244#2518C2212yes—
245#2517C2212yes—
246#2517C2212yes—
247#2517C2211yescharacteristic, complemented
248#2515C2212yes—
249#2510C2212yes—
250#2506C2212yescomplemented
251#2506C2212yescomplemented
252#2506C2212yescomplemented
253#2505C2212yes—
254#2505C2212yes—
255#2503C2211yescharacteristic
256#2497C2212yes—
257#2495C2212yes—
258#2495C2212yes—
259#2494C2212yescomplemented
260#2493C2212yes—
261#2489C2212yes—
262#2489C2212yes—
263#2489C2212yescomplemented
264#2488C2212yes—
265#2488C2212yes—
266#2484C2211yescharacteristic, complemented
267#2481C2212yes—
268#2481C2212yes—
269#2477C2212yes—
270#2477C2212yes—
271#2473C2212yes—
272#2471C2212yes—
273#2470C2212yes—
274#2469C2212yescomplemented
275#2469C2212yescomplemented
276#2466C2212yes—
277#2466C2212yes—
278#2466C2212yescomplemented
279#2465C2212yes—
280#2465C2212yes—
281#2465C2212yes—
282#2465C2212yescomplemented
283#2464C2212yes—
284#2463C2211yescharacteristic
285#2460C2212yes—
286#2460C2212yes—
287#2460C2212yes—
288#2460C2212yes—
289#2460C2212yescomplemented
290#2458C2212yes—
291#2458C2212yescomplemented
292#2457C2212yes—
293#2457C2212yes—
294#2455C2212yes—
295#2452C2212yes—
296#2451C2212yescomplemented
297#2450C2212yes—
298#2449C2212yes—
299#2449C2212yes—
300#2449C2212yes—
301#2442C2212yes—
302#2442C2212yescomplemented
303#2441C2212yes—
304#2440C2212yes—
305#2440C2212yes—
306#2439C2212yes—
307#2438C2212yes—
308#2437C2212yes—
309#2437C2212yes—
310#2437C2211yescharacteristic
311#2429C2212yes—
312#2429C2212yes—
313#2429C2212yes—
314#2429C2212yescomplemented
315#2429C2212yescomplemented
316#2423C2212yes—
317#2421C2212yes—
318#2421C2212yes—
319#2421C2212yes—
320#2421C2212yescomplemented
321#2421C2212yescomplemented
322#2417C2212yes—
323#2417C2212yes—
324#2413C2212yescomplemented
325#2412C2212yes—
326#2412C2212yes—
327#2401C2212yes—
328#2401C2212yes—
329#2398C2212yes—
330#2398C2212yes—
331#2398C2211yescharacteristic
332#2396C2212yes—
333#2396C2212yes—
334#2392C2212yes—
335C2×#397C2211yescharacteristic
336C2×#396C2212yes—
337#2378C2212yescomplemented
338#2378C2212yescomplemented
339#2378C2211yescharacteristic, complemented
340#2375C2211yescharacteristic
341#2368C2212yes—
342#2368C2211yescharacteristic
343#2362C2212yescomplemented
344#2362C2212yescomplemented
345#2361C2212yes—
346#2360C2212yes—
347#2360C2212yes—
348#2360C2212yes—
349#2360C2212yes—
350#2360C2212yescomplemented
351#2360C2212yescomplemented
352#2359C2212yes—
353#2358C2212yes—
354#2358C2212yes—
355#2358C2211yescharacteristic
356#2355C2212yescomplemented
357#2353C2212yes—
358#2353C2212yes—
359#2352C2212yes—
360#2351C2212yescomplemented
361#2346C2212yescomplemented
362#2345C2212yes—
363#2345C2212yes—
364#2343C2212yes—
365#2342C2212yes—
366#2342C2212yes—
367#2335C2212yescomplemented
368#2334C2212yescomplemented
369#2334C2212yescomplemented
370#2331C2212yescomplemented
371#2331C2212yescomplemented
372#2327C2212yescomplemented
373#2322C2212yescomplemented
374#2321C2212yes—
375#2321C2211yescharacteristic
376#2320C2212yescomplemented
377#2276C2211yescharacteristic, complemented
378#2273C2212yes—
379#557—44no—
380#554—48no—
381#552—44no—
382#543—44no—
383#539—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2311yescharacteristic
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#125C2311yescharacteristic
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2312yes—
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×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#120C2312yes—
431C2×#120C2311yescharacteristic
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2312yes—
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#400C2311yescharacteristic
469#400C2311yescharacteristic
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#399C2311yescharacteristic
518#399C2312yes—
519#399C2311yescharacteristic
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
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#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2311yescharacteristic
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2311yescharacteristic
601#397C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
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#395C2311yescharacteristic
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2311yescharacteristic
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#393C2311yescharacteristic
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2311yescharacteristic
678#393C2312yes—
679#393C2312yes—
680#393C2311yescharacteristic
681#393C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2311yescharacteristic
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2311yescharacteristic
714#390C2312yes—
715#390C2311yescharacteristic
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2311yescharacteristic
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2311yescharacteristic
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2311yescharacteristic
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2311yescharacteristic
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2311yescharacteristic
963#385C2312yes—
964#385C2311yescharacteristic
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#384C2311yescharacteristic
989#384C2312yes—
990#384C2311yescharacteristic
991#384C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2311yescharacteristic
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2311yescharacteristic
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#379C2311yescharacteristic
1043#379C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2311yescharacteristic
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2311yescharacteristic
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C4⋊Q8—28no—
1135C4⋊Q8—42no—
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#125—42no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#123—44no—
1151#123—44no—
1152#123—44no—
1153#123—44no—
1154#123—44no—
1155#123—44no—
1156C22⋊Q8—24no—
1157C22⋊Q8—28no—
1158C22⋊Q8—24no—
1159C22⋊Q8—28no—
1160C22⋊Q8—44no—
1161C22⋊Q8—44no—
1162C22⋊Q8—44no—
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—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—42no—
1177C22⋊Q8—44no—
1178#121—44no—
1179#121—42no—
1180#120—28no—
1181#120—24no—
1182C4×Q8—24no—
1183C4×Q8—42no—
1184C4×Q8—44no—
1185C4×Q8—44no—
1186C4×Q8—44no—
1187C4×Q8—44no—
1188C4×Q8—44no—
1189C4×Q8—44no—
1190C4×Q8—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194C4×D4—42no—
1195C4×D4—44no—
1196C4×D4—44no—
1197C4×D4—44no—
1198C4×D4—44no—
1199#117—44no—
1200#117—44no—
1201#117—44no—
1202#117—42no—
1203C2×C4⋊C4—44no—
1204C2×C4⋊C4—44no—
1205C2×C4⋊C4—42no—
1206C2×C4⋊C4—42no—
1207C2×C4⋊C4—44no—
1208C2×C4⋊C4—44no—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
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⋊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⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C22⋊C4—28no—
1304C2×C22⋊C4—44no—
1305C2×C22⋊C4—44no—
1306C2×C22⋊C4—44no—
1307C2×C22⋊C4—42no—
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2411yescharacteristic
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2411yescharacteristic
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2411yescharacteristic
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2411yescharacteristic
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2411yescharacteristic
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2411yescharacteristic
1419#95C2411yescharacteristic
1420#95C2412yes—
1421#95C2411yescharacteristic
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2411yescharacteristic
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2411yescharacteristic
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526C24—41no—
1527C24—42no—
1528C24—42no—
1529C24—41no—
1530C242−1+414yes—
1531C24C2511yescharacteristic
1532C24C2512yes—
1533C24C2512yes—
1534C24C2511yescharacteristic
1535C2×Q8—24no—
1536C2×Q8—24no—
1537C2×Q8—24no—
1538C2×Q8—24no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8H(5,𝔽2)14yes—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—22no—
1557C2×D4—24no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—41no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—41no—
1571C2×D4—41no—
1572C2×D4—42no—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—41no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—41no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—41no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2511yescharacteristic
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2511yescharacteristic
1640C22×C4C2511yescharacteristic
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C22×C4C2511yescharacteristic
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C4⋊C4—22no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—22no—
1654C4⋊C4—22no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
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—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—41no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—41no—
1733C4⋊C4—41no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
1747C22⋊C4—24no—
1748C22⋊C4—22no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
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—41no—
1778C22⋊C4—41no—
1779C22⋊C4—42no—
1780C22⋊C4—41no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—41no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—41no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C42—24no—
1811C42—22no—
1812C42—24no—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—41no—
1817C42—42no—
1818C42—42no—
1819C42—41no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C23—21no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—21no—
1850C23—22no—
1851C23—21no—
1852C23—22no—
1853C23—22no—
1854C23—21no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—21no—
1863C23—48no—
1864C23—44no—
1865C23—161no—
1866C23—161no—
1867C23—162no—
1868C23C2×2−1+414yes—
1869C23C2×2−1+412yes—
1870C23C2611yescharacteristic
1871Q8—44no—
1872Q8—44no—
1873Q8—48no—
1874Q8—84no—
1875Q8—84no—
1876Q8—162no—
1877Q8—161no—
1878D4—48no—
1879D4—84no—
1880D4—84no—
1881D4—84no—
1882D4—82no—
1883D4—84no—
1884D4—161no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—21no—
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—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—21no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—84no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—84no—
1974C2×C4—82no—
1975C2×C4—82no—
1976C2×C4—84no—
1977C2×C4—84no—
1978C2×C4—84no—
1979C2×C4—82no—
1980C2×C4—161no—
1981C2×C4—162no—
1982C2×C4—161no—
1983C2×C4—162no—
1984C2×C4—162no—
1985C2×C4—162no—
1986C2×C4C2×H(5,𝔽2)12yes—
1987C2×C4C2×H(5,𝔽2)14yes—
1988C2×C4#58514yes—
1989C2×C4#58514yes—
1990C22—24no—
1991C22—24no—
1992C22—24no—
1993C22—22no—
1994C22—24no—
1995C22—42no—
1996C22—41no—
1997C22—42no—
1998C22—41no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—41no—
2003C22—42no—
2004C22—42no—
2005C22—41no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—41no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—164no—
2015C22C22×H(5,𝔽2)11yescharacteristic
2016C22C22×2−1+411yescharacteristic
2017C22C2×#58512yes—
2018C22C2×#58512yes—
2019C222−1+611yescharacteristic
2020C4—24no—
2021C4—24no—
2022C4—22no—
2023C4—24no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—41no—
2030C4—42no—
2031C4—42no—
2032C4—41no—
2033C4—41no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—41no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C2—42no—
2052C2—44no—
2053C2—81no—
2054C2—82no—
2055C2#6282211yescharacteristic
2056C2#6282312yes—
2057C2#6289311yescharacteristic
2058C2#6293412yes—
2059C2#6302011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#41639C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58953C2semidirect
2. #58540C2semidirect
3. #57895C2semidirect
4. #55824C2semidirect
5. #53494C2semidirect
6. #51664C2semidirect
7. #51375C2semidirect
8. #51262C2semidirect
9. #51134C2semidirect
10. #50984C2semidirect
11. #50926C2semidirect
12. #50525C2semidirect
13. #48866C2semidirect
14. #48783C2semidirect
15. #47962C2semidirect
16. #45210C2semidirect
17. #45143C2semidirect
18. #44824C2semidirect
19. #44660C2semidirect
20. #44652C2semidirect
21. #44440C2semidirect
22. #43493C2semidirect
23. #43413C2semidirect
24. #43041C2semidirect
25. #43025C2semidirect
26. #42020C2semidirect
28. #41221C2semidirect
29. #41074C2semidirect
30. #40851C2semidirect
31. #35949C2semidirect
32. #35855C2semidirect
33. #35795C2semidirect
34. #35780C2semidirect
35. #35779C2semidirect
36. C2×#557C22semidirect
40. C2×#539C22semidirect
41. #2843C22semidirect
42. #2843C22semidirect
43. #2839C22semidirect
44. #2839C22semidirect
45. #2837C22semidirect
47. #2832C22semidirect
50. #2805C22semidirect
52. #2802C22semidirect
53. #2802C22semidirect
54. #2802C22semidirect
55. #2798C22semidirect
56. #2795C22semidirect
57. #2791C22semidirect
59. #2789C22semidirect
60. #2788C22semidirect
64. #2777C22semidirect
65. #2777C22semidirect
66. #2776C22semidirect
67. #2776C22semidirect
68. #2776C22semidirect
69. #2775C22semidirect
70. #2775C22semidirect
71. #2774C22semidirect
72. #2774C22semidirect
73. #2774C22semidirect
74. #2774C22semidirect
75. #2772C22semidirect
76. #2772C22semidirect
81. #2770C22semidirect
83. #2766C22semidirect
84. #2766C22semidirect
85. #2766C22semidirect
86. #2765C22semidirect
87. #2763C22semidirect
88. #2762C22semidirect
89. #2762C22semidirect
90. #2758C22semidirect
91. #2758C22semidirect
103. #2741C22semidirect
105. #2738C22semidirect
109. #2729C22semidirect
110. #2729C22semidirect
111. #2729C22semidirect
114. #2726C22semidirect
116. #2723C22semidirect
117. #2721C22semidirect
119. #2719C22semidirect
120. #2719C22semidirect
121. #2719C22semidirect
122. #2719C22semidirect
123. #2719C22semidirect
124. #2718C22semidirect
125. #2707C22semidirect
131. #2698C22semidirect
132. #2698C22semidirect
138. #2689C22semidirect
139. #2687C22semidirect
144. #2681C22semidirect
145. #2680C22semidirect
146. #2680C22semidirect
147. #2677C22semidirect
148. #2677C22semidirect
150. #2666C22semidirect
152. #2664C22semidirect
153. #2663C22semidirect
158. #2650C22semidirect
159. #2650C22semidirect
160. #2650C22semidirect
161. #2650C22semidirect
165. #2647C22semidirect
166. #2642C22semidirect
170. #2624C22semidirect
176. #2606C22semidirect
177. #2604C22semidirect
178. #2604C22semidirect
181. #2599C22semidirect
188. #2584C22semidirect
191. #2581C22semidirect
192. #2581C22semidirect
205. #2571C22semidirect
209. #2560C22semidirect
213. #2558C22semidirect
221. #2533C22semidirect
222. #2533C22semidirect
227. #2530C22semidirect
228. #2528C22semidirect
229. #2528C22semidirect
230. #2527C22semidirect
232. #2525C22semidirect
233. #2525C22semidirect
234. #2525C22semidirect
235. #2524C22semidirect
236. #2524C22semidirect
238. #2523C22semidirect
240. #2520C22semidirect
247. #2517C22semidirect
250. #2506C22semidirect
251. #2506C22semidirect
252. #2506C22semidirect
259. #2494C22semidirect
263. #2489C22semidirect
266. #2484C22semidirect
274. #2469C22semidirect
275. #2469C22semidirect
278. #2466C22semidirect
282. #2465C22semidirect
289. #2460C22semidirect
291. #2458C22semidirect
296. #2451C22semidirect
302. #2442C22semidirect
314. #2429C22semidirect
315. #2429C22semidirect
320. #2421C22semidirect
321. #2421C22semidirect
324. #2413C22semidirect
337. #2378C22semidirect
338. #2378C22semidirect
339. #2378C22semidirect
343. #2362C22semidirect
344. #2362C22semidirect
350. #2360C22semidirect
351. #2360C22semidirect
356. #2355C22semidirect
360. #2351C22semidirect
361. #2346C22semidirect
367. #2335C22semidirect
368. #2334C22semidirect
369. #2334C22semidirect
370. #2331C22semidirect
371. #2331C22semidirect
372. #2327C22semidirect
373. #2322C22semidirect
376. #2320C22semidirect
377. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#589532
#585402
#578952
#558242
#534942
#516642
#513752
#512622
#511342
#509842
#509262
#505252
#488662
#487832
#479622
#452102
#451432
#448242
#446602
#446522
#444402
#434932
#434132
#430412
#430252
#420202
#416392
#412212
#410742
#408512
#359492
#358552
#357952
#357802
#357792