Finite Group Databasebeta

← #7901002

Subgroups — #7901002

Order 512.

4759 conjugacy classes of subgroups.

The subgroup lattice has 2287 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59886C211yesmaximal, characteristic, complemented
2#59826C212yesmaximal, complemented
3C2×#2806C211yesmaximal, characteristic, complemented
4#50451C212yesmaximal, complemented
5#50247C212yesmaximal, complemented
6#50062C212yesmaximal, complemented
7#49514C212yesmaximal, complemented
8#48382C212yesmaximal, complemented
9#48106C212yesmaximal, complemented
10#47271C212yesmaximal, complemented
11#46775C212yesmaximal, complemented
12#46090C211yesmaximal, characteristic, complemented
13#45965C211yesmaximal, characteristic, complemented
14#44329C212yesmaximal, complemented
15#44014C212yesmaximal, complemented
16#43526C212yesmaximal, complemented
17#43124C212yesmaximal, complemented
18#43097C212yesmaximal, complemented
19#41851C212yesmaximal, complemented
20#41336C212yesmaximal, complemented
21#40667C212yesmaximal, complemented
22#40664C212yesmaximal, complemented
23#39804C212yesmaximal, complemented
24#39768C211yesmaximal, characteristic, complemented
25#39742C211yesmaximal, characteristic, complemented
26#39574C211yesmaximal, characteristic, complemented
27#39160C212yesmaximal, complemented
28#38769C211yesmaximal, characteristic, complemented
29#38762C211yesmaximal, characteristic, complemented
30#38467C211yesmaximal, characteristic, complemented
31#38124C212yesmaximal, complemented
32#37251C211yesmaximal, characteristic, complemented
33#37167C211yesmaximal, characteristic, complemented
34#36396C211yesmaximal, characteristic, complemented
35#35953C212yesmaximal, complemented
36#35387C212yesmaximal, complemented
37#35030C211yesmaximal, characteristic, complemented
38#34497C212yesmaximal, complemented
39#34332C211yesmaximal, characteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2212yes—
44C2×#553C2211yescharacteristic
45C2×#548C2211yescharacteristic
46#2863C2211yescharacteristic
47#2861C2211yescharacteristic
48#2861C2211yescharacteristic
49#2856C2211yescharacteristic
50#2855C2211yescharacteristic
51#2850C2211yescharacteristic
52#2850C2211yescharacteristic
53#2850C2212yes—
54#2838C2212yes—
55#2837C2212yes—
56#2832C2212yes—
57#2831C2212yes—
58#2808C2211yescharacteristic
59#2808C2211yescharacteristic
60#2806C2211yescharacteristic
61#2806C2212yes—
62#2806C2212yes—
63#2806C2211yescharacteristic
64#2806C2211yescharacteristic
65#2806C2212yes—
66#2806C2211yescharacteristic
67#2806C2212yes—
68#2806C2212yes—
69#2806C2212yes—
70#2806C2211yescharacteristic
71#2805C2211yescharacteristic
72#2804C2211yescharacteristic
73#2804C2211yescharacteristic
74#2804C2211yescharacteristic
75#2800C2212yes—
76#2800C2212yes—
77#2798C2212yes—
78#2798C2212yes—
79#2791C2212yes—
80#2790C2212yes—
81#2780C2212yes—
82#2774C2212yes—
83#2772C2212yes—
84#2772C2212yes—
85#2768C2212yes—
86#2768C2212yes—
87#2767C2212yes—
88#2766C2212yes—
89#2765C2212yes—
90#2765C2212yes—
91#2761C2212yes—
92#2758C2212yes—
93#2757C2212yes—
94#2757C2212yes—
95#2757C2212yes—
96#2755C2212yes—
97#2754C2212yes—
98#2754C2212yes—
99#2751C2212yes—
100#2751C2212yes—
101#2748C2212yes—
102#2747C2212yes—
103#2745C2212yes—
104#2742C2212yes—
105#2738C2212yes—
106#2737C2212yes—
107#2732C2211yescharacteristic
108#2727C2211yescharacteristic
109#2727C2211yescharacteristic
110#2725C2212yes—
111#2725C2212yes—
112#2723C2212yes—
113#2723C2212yes—
114#2723C2212yes—
115#2722C2212yes—
116#2721C2212yes—
117#2720C2212yes—
118#2719C2212yes—
119#2719C2212yes—
120#2718C2212yes—
121#2717C2212yes—
122#2716C2212yes—
123#2715C2212yes—
124#2712C2212yes—
125#2712C2212yes—
126#2711C2212yes—
127#2710C2212yes—
128#2710C2212yes—
129#2708C2212yes—
130#2706C2212yes—
131#2705C2212yes—
132#2705C2212yes—
133#2704C2212yes—
134#2701C2212yes—
135#2701C2212yes—
136#2701C2212yes—
137#2698C2212yes—
138#2696C2212yes—
139#2695C2212yes—
140#2691C2212yes—
141#2690C2212yes—
142#2686C2212yes—
143#2686C2212yes—
144#2682C2211yescharacteristic
145#2682C2211yescharacteristic
146#2680C2212yes—
147#2676C2212yes—
148#2674C2212yes—
149#2672C2212yes—
150#2672C2212yes—
151#2671C2212yes—
152#2665C2212yes—
153#2664C2212yes—
154#2663C2212yes—
155#2661C2212yes—
156#2656C2212yes—
157#2653C2212yes—
158#2653C2212yes—
159#2652C2212yes—
160#2651C2212yes—
161#2650C2212yes—
162#2650C2212yes—
163#2644C2212yes—
164#2639C2212yes—
165#2639C2212yes—
166#2637C2212yes—
167#2632C2212yes—
168#2625C2212yes—
169#2611C2212yes—
170#2607C2212yes—
171#2607C2212yes—
172#2603C2212yes—
173#2592C2212yes—
174#2591C2212yes—
175#2590C2212yes—
176#2589C2212yes—
177#2589C2212yes—
178#2589C2212yes—
179#2589C2212yes—
180#2589C2212yes—
181#2588C2212yes—
182#2587C2212yes—
183#2585C2212yes—
184#2579C2212yes—
185#2579C2212yes—
186#2579C2212yes—
187#2579C2212yes—
188#2579C2212yes—
189#2574C2212yes—
190#2574C2212yes—
191#2572C2212yes—
192#2569C2212yes—
193#2565C2211yescharacteristic
194#2564C2212yes—
195#2564C2212yes—
196#2560C2212yes—
197#2560C2212yes—
198#2560C2212yes—
199#2557C2212yes—
200#2557C2212yes—
201#2557C2212yes—
202#2557C2212yes—
203#2557C2212yes—
204#2554C2212yes—
205#2554C2212yes—
206#2553C2212yes—
207#2553C2212yes—
208#2544C2211yescharacteristic
209#2544C2212yes—
210#2543C2212yes—
211#2543C2212yes—
212#2543C2212yes—
213#2543C2212yes—
214#2532C2212yes—
215#2532C2212yes—
216#2527C2212yes—
217#2527C2212yes—
218#2523C2212yes—
219#2521C2212yes—
220#2521C2212yes—
221#2520C2212yes—
222#2520C2212yes—
223#2519C2212yes—
224#2519C2212yes—
225#2515C2212yes—
226#2514C2211yescharacteristic
227#2512C2212yes—
228#2511C2212yes—
229#2510C2212yes—
230#2510C2212yes—
231#2508C2212yes—
232#2506C2212yes—
233#2505C2212yes—
234#2504C2211yescharacteristic
235#2504C2212yes—
236#2499C2211yescharacteristic
237#2498C2212yes—
238#2496C2212yes—
239#2494C2212yes—
240#2489C2211yescharacteristic
241#2488C2212yes—
242#2487C2212yes—
243#2486C2212yes—
244#2481C2212yes—
245#2481C2212yes—
246#2479C2212yes—
247#2478C2212yes—
248#2477C2212yes—
249#2477C2212yes—
250#2475C2212yes—
251#2475C2212yes—
252#2474C2212yes—
253#2474C2212yes—
254#2473C2212yes—
255#2470C2212yes—
256#2470C2212yes—
257#2469C2212yes—
258#2469C2212yes—
259#2468C2212yes—
260#2466C2212yes—
261#2466C2212yes—
262#2465C2212yes—
263#2465C2212yes—
264#2464C2212yes—
265#2464C2212yes—
266#2463C2212yes—
267#2462C2212yes—
268#2461C2212yes—
269#2460C2212yes—
270#2459C2212yes—
271#2459C2212yes—
272#2459C2212yes—
273#2458C2212yes—
274#2458C2212yes—
275#2454C2212yes—
276#2450C2212yes—
277#2450C2212yes—
278#2450C2212yes—
279#2449C2212yes—
280#2447C2211yescharacteristic
281#2447C2212yes—
282#2447C2212yes—
283#2444C2212yes—
284#2444C2212yes—
285#2444C2212yes—
286#2444C2212yes—
287#2444C2212yes—
288#2444C2212yes—
289#2443C2212yes—
290#2443C2212yes—
291#2443C2212yes—
292#2443C2212yes—
293#2443C2212yes—
294#2442C2211yescharacteristic
295#2441C2212yes—
296#2438C2212yes—
297#2436C2211yescharacteristic
298#2436C2212yes—
299#2436C2211yescharacteristic
300#2431C2211yescharacteristic
301#2430C2212yes—
302#2428C2212yes—
303#2427C2211yescharacteristic
304#2426C2212yes—
305#2425C2212yes—
306#2422C2212yes—
307#2419C2212yes—
308#2417C2212yes—
309#2416C2212yes—
310#2416C2212yes—
311#2416C2212yes—
312#2416C2212yes—
313#2416C2211yescharacteristic
314#2416C2212yes—
315#2414C2212yes—
316#2413C2212yes—
317#2409C2211yescharacteristic
318#2409C2212yes—
319#2406C2212yes—
320#2395C2212yes—
321#2392C2212yes—
322C2×#398C2212yes—
323C2×#398C2212yes—
324C2×#395C2212yes—
325#2383C2212yes—
326#2382C2212yes—
327#2377C2212yes—
328#2376C2212yes—
329#2373C2212yes—
330#2370C2212yes—
331#2369C2211yescharacteristic
332#2368C2212yes—
333#2364C2212yes—
334#2364C2212yes—
335#2364C2212yes—
336#2364C2212yes—
337#2361C2212yes—
338#2361C2212yes—
339#2361C2212yes—
340#2360C2211yescharacteristic
341#2360C2212yes—
342#2360C2211yescharacteristic
343#2360C2212yes—
344#2359C2212yes—
345#2352C2212yes—
346Q8×C4⋊C4C2211yescharacteristic
347#2349C2212yes—
348#2349C2212yes—
349D4×C4⋊C4C2211yescharacteristic
350D4×C4⋊C4C2212yes—
351D4×C4⋊C4C2212yes—
352#2345C2211yescharacteristic
353#2345C2211yescharacteristic
354#2344C2212yes—
355#2343C2212yes—
356#2336C2212yes—
357#2335C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2330C2212yes—
361#2329C2212yes—
362#2329C2212yes—
363#2325C2212yes—
364#2325C2212yes—
365#2325C2212yes—
366#2325C2212yes—
367#2325C2212yes—
368#2325C2212yes—
369#2324C2212yes—
370#2322C2212yes—
371#2320C2212yes—
372#2318C2212yes—
373#2318C2212yes—
374#2318C2212yes—
375#2314C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×#124C2211yescharacteristic
378C4×C22⋊Q8C2211yescharacteristic
379C4×C22⋊Q8C2211yescharacteristic
380C4×#121C2212yes—
381C4×#121C2211yescharacteristic
382C4×#121C2212yes—
383#2297C2211yescharacteristic
384#2295C2211yescharacteristic
385C2×#391C2211yescharacteristic
386C2×#391C2212yes—
387C2×#391C2211yescharacteristic
388C2×#389C2211yescharacteristic
389C2×#389C2211yescharacteristic
390C2×#389C2212yes—
391#2290C2212yes—
392C2×#387C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#554—28no—
399#553—216no—
400#553—48no—
401#553—44no—
402#553—48no—
403#548—44no—
404C2×C4⋊Q8C2311yescharacteristic
405C2×#127C2311yescharacteristic
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2311yescharacteristic
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2311yescharacteristic
420C2×#124C2311yescharacteristic
421C2×#124C2311yescharacteristic
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2311yescharacteristic
425C2×#124C2312yes—
426C2×#124C2311yescharacteristic
427C2×#124C2311yescharacteristic
428C2×#124C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×C22⋊Q8C2311yescharacteristic
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2311yescharacteristic
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2311yescharacteristic
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2311yescharacteristic
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2311yescharacteristic
462C2×#121C2311yescharacteristic
463C2×#121C2311yescharacteristic
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2311yescharacteristic
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2311yescharacteristic
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520#401C2312yes—
521#401C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#399C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
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#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#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#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2311yescharacteristic
723#391C2311yescharacteristic
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2311yescharacteristic
730#391C2311yescharacteristic
731#391C2311yescharacteristic
732#391C2311yescharacteristic
733#391C2311yescharacteristic
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2311yescharacteristic
740#391C2311yescharacteristic
741#391C2312yes—
742#391C2312yes—
743#391C2311yescharacteristic
744#391C2311yescharacteristic
745#390C2312yes—
746#390C2312yes—
747#390C2312yes—
748#390C2311yescharacteristic
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2312yes—
753#390C2311yescharacteristic
754#390C2311yescharacteristic
755#390C2311yescharacteristic
756#390C2311yescharacteristic
757#390C2312yes—
758#390C2311yescharacteristic
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2312yes—
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2311yescharacteristic
783#389C2312yes—
784#389C2312yes—
785#389C2311yescharacteristic
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2311yescharacteristic
794#389C2312yes—
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2312yes—
799#389C2311yescharacteristic
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2311yescharacteristic
810#389C2312yes—
811#389C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
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#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#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
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#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#384C2311yescharacteristic
1039#384C2311yescharacteristic
1040#384C2312yes—
1041#384C2312yes—
1042#383C2312yes—
1043#383C2312yes—
1044#383C2312yes—
1045#383C2312yes—
1046#382C2311yescharacteristic
1047#382C2312yes—
1048#382C2312yes—
1049#382C2312yes—
1050#382C2311yescharacteristic
1051#382C2312yes—
1052#382C2312yes—
1053#382C2311yescharacteristic
1054#382C2312yes—
1055#382C2312yes—
1056#381C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#381C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#381C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2311yescharacteristic
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2311yescharacteristic
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078#380C2311yescharacteristic
1079#380C2312yes—
1080#380C2311yescharacteristic
1081#380C2312yes—
1082#380C2312yes—
1083#380C2312yes—
1084#380C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2311yescharacteristic
1133C4×C22⋊C4C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C43C2311yescharacteristic
1148C2×#41—42no—
1149C2×#41—42no—
1150C2×#41—81no—
1151C22×Q8—24no—
1152C22×Q8—42no—
1153C22×Q8—42no—
1154C22×Q8—81no—
1155C22×Q8—81no—
1156C22×Q8—81no—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2411yescharacteristic
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2411yescharacteristic
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2411yescharacteristic
1176C22×D4C2412yes—
1177C22×D4C2411yescharacteristic
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C23×C4C2411yescharacteristic
1182C23×C4C2411yescharacteristic
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2411yescharacteristic
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2411yescharacteristic
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2411yescharacteristic
1203C23×C4C2411yescharacteristic
1204C4⋊Q8—24no—
1205#127—81no—
1206#126—28no—
1207#126—28no—
1208#126—44no—
1209#126—44no—
1210#126—44no—
1211#126—44no—
1212#126—44no—
1213#126—82no—
1214#125—28no—
1215#125—28no—
1216#125—44no—
1217#125—42no—
1218#125—44no—
1219#125—81no—
1220#124—42no—
1221#124—42no—
1222#124—44no—
1223#124—82no—
1224#124—81no—
1225#124—81no—
1226#124—82no—
1227#124—82no—
1228#124—81no—
1229#123—28no—
1230#123—28no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236#123—82no—
1237#123—82no—
1238#123—82no—
1239C22⋊Q8—28no—
1240C22⋊Q8—24no—
1241C22⋊Q8—28no—
1242C22⋊Q8—24no—
1243C22⋊Q8—42no—
1244C22⋊Q8—44no—
1245C22⋊Q8—44no—
1246C22⋊Q8—81no—
1247C22⋊Q8—82no—
1248C22⋊Q8—82no—
1249C22⋊Q8—81no—
1250#121—28no—
1251#121—28no—
1252#121—28no—
1253#121—28no—
1254#121—28no—
1255#121—28no—
1256#121—28no—
1257#121—24no—
1258#121—28no—
1259#121—44no—
1260#121—44no—
1261#121—44no—
1262#121—42no—
1263#121—44no—
1264#121—42no—
1265#121—44no—
1266#121—42no—
1267#121—44no—
1268#121—81no—
1269#121—82no—
1270#121—82no—
1271C4×Q8—24no—
1272C4×Q8—44no—
1273C4×Q8—42no—
1274C4×Q8—81no—
1275C4×Q8—81no—
1276C4×D4—24no—
1277C4×D4—28no—
1278C4×D4—28no—
1279C4×D4—28no—
1280C4×D4—28no—
1281C4×D4—28no—
1282C4×D4—24no—
1283C4×D4—24no—
1284C4×D4—28no—
1285C4×D4—44no—
1286C4×D4—42no—
1287C4×D4—44no—
1288C4×D4—44no—
1289C4×D4—44no—
1290C4×D4—44no—
1291C4×D4—44no—
1292C4×D4—44no—
1293C4×D4—44no—
1294C4×D4—81no—
1295C4×D4—82no—
1296C4×D4—82no—
1297C4×D4—82no—
1298C4×D4—82no—
1299#117—28no—
1300#117—44no—
1301#117—42no—
1302#117—44no—
1303#117—82no—
1304C2×C4⋊C4—24no—
1305C2×C4⋊C4—44no—
1306C2×C4⋊C4—44no—
1307C2×C4⋊C4—42no—
1308C2×C4⋊C4—44no—
1309C2×C4⋊C4—44no—
1310C2×C4⋊C4—82no—
1311C2×C4⋊C4—82no—
1312C2×C4⋊C4—81no—
1313C2×C4⋊C4—81no—
1314C2×C4⋊C4—81no—
1315C2×C4⋊C4—82no—
1316C2×C4⋊C4#4118yescomplemented
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2411yescharacteristic
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2411yescharacteristic
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2411yescharacteristic
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2411yescharacteristic
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2411yescharacteristic
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2411yescharacteristic
1424C2×C22⋊C4C2411yescharacteristic
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2411yescharacteristic
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2411yescharacteristic
1429C2×C22⋊C4C2411yescharacteristic
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C42—81no—
1486C2×C42—81no—
1487C2×C42—82no—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2411yescharacteristic
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2411yescharacteristic
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2411yescharacteristic
1513C2×C42C2412yes—
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2412yes—
1519C2×C42C2411yescharacteristic
1520C2×C42C2411yescharacteristic
1521C2×C42C2411yescharacteristic
1522#95C2412yes—
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—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2411yescharacteristic
1570#95C2411yescharacteristic
1571#95C2411yescharacteristic
1572#95C2411yescharacteristic
1573#95C2411yescharacteristic
1574#95C2411yescharacteristic
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628C24C2512yes—
1629C24C2512yes—
1630C24C2512yes—
1631C24C2511yescharacteristic
1632C24C2511yescharacteristic
1633#41—88no—
1634C2×Q8—22no—
1635C2×Q8—24no—
1636C2×Q8—22no—
1637C2×Q8—22no—
1638C2×Q8—24no—
1639C2×Q8—22no—
1640C2×Q8—22no—
1641C2×Q8—41no—
1642C2×Q8—41no—
1643C2×Q8—41no—
1644C2×Q8—41no—
1645C2×Q8—42no—
1646C2×Q8—41no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—41no—
1650C2×Q8—41no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—41no—
1654C2×Q8—41no—
1655C2×Q8—42no—
1656C2×Q8—41no—
1657C2×Q8—42no—
1658C2×Q8—88no—
1659C2×Q8—88no—
1660C2×D4—22no—
1661C2×D4—22no—
1662C2×D4—24no—
1663C2×D4—24no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—24no—
1674C2×D4—24no—
1675C2×D4—24no—
1676C2×D4—24no—
1677C2×D4—22no—
1678C2×D4—24no—
1679C2×D4—22no—
1680C2×D4—22no—
1681C2×D4—41no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—41no—
1687C2×D4—42no—
1688C2×D4—41no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—41no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—41no—
1699C2×D4—41no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4H(5,𝔽2)14yes—
1708C22×C4—22no—
1709C22×C4—22no—
1710C22×C4—24no—
1711C22×C4—24no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—24no—
1715C22×C4—24no—
1716C22×C4—22no—
1717C22×C4—22no—
1718C22×C4—22no—
1719C22×C4—24no—
1720C22×C4—24no—
1721C22×C4—24no—
1722C22×C4—24no—
1723C22×C4—22no—
1724C22×C4—41no—
1725C22×C4—41no—
1726C22×C4—42no—
1727C22×C4—41no—
1728C22×C4—41no—
1729C22×C4—42no—
1730C22×C4—41no—
1731C22×C4—42no—
1732C22×C4—41no—
1733C22×C4—42no—
1734C22×C4—41no—
1735C22×C4—41no—
1736C22×C4—42no—
1737C22×C4—41no—
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—41no—
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×C4C2×#4118yes—
1775C22×C4C2×#4114yes—
1776C22×C42−1+414yes—
1777C22×C4C2511yescharacteristic
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2511yescharacteristic
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2511yescharacteristic
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2511yescharacteristic
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2512yes—
1795C22×C4C2511yescharacteristic
1796C22×C4C2511yescharacteristic
1797C22×C4C2511yescharacteristic
1798C22×C4C2512yes—
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2512yes—
1802C22×C4C2512yes—
1803C22×C4C2511yescharacteristic
1804C22×C4C2511yescharacteristic
1805C22×C4C2512yes—
1806C22×C4C2512yes—
1807C22×C4C2511yescharacteristic
1808C22×C4C2511yescharacteristic
1809C22×C4C2511yescharacteristic
1810C22×C4C2511yescharacteristic
1811C4⋊C4—24no—
1812C4⋊C4—22no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—22no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—22no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—22no—
1830C4⋊C4—22no—
1831C4⋊C4—24no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—41no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—41no—
1857C4⋊C4—41no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—41no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—41no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—41no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—41no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—41no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—41no—
1887C4⋊C4—42no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—41no—
1894C4⋊C4—42no—
1895C4⋊C4—42no—
1896C4⋊C4—42no—
1897C4⋊C4C2×#4114yes—
1898C4⋊C4C2×#4118yes—
1899C4⋊C4C2×#4114yes—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—22no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—22no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—22no—
1909C22⋊C4—24no—
1910C22⋊C4—22no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—24no—
1917C22⋊C4—24no—
1918C22⋊C4—22no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—24no—
1923C22⋊C4—24no—
1924C22⋊C4—24no—
1925C22⋊C4—22no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—24no—
1929C22⋊C4—24no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C42—24no—
1980C42—24no—
1981C42—24no—
1982C42—24no—
1983C42—22no—
1984C42—24no—
1985C42—22no—
1986C42—22no—
1987C42—22no—
1988C42—41no—
1989C42—42no—
1990C42—41no—
1991C42—42no—
1992C42—42no—
1993C42—41no—
1994C42—41no—
1995C42—42no—
1996C42—41no—
1997C42—41no—
1998C42—41no—
1999C42—41no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—42no—
2012C42—41no—
2013C23—21no—
2014C23—21no—
2015C23—21no—
2016C23—21no—
2017C23—21no—
2018C23—21no—
2019C23—21no—
2020C23—21no—
2021C23—21no—
2022C23—21no—
2023C23—22no—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23C22×#4112yes—
2045C23C2×H(5,𝔽2)12yes—
2046C23C2×H(5,𝔽2)12yes—
2047C23C2×2−1+412yes—
2048C23C2611yescharacteristic
2049Q8—44no—
2050Q8—44no—
2051Q8—84no—
2052Q8—82no—
2053Q8—82no—
2054Q8—84no—
2055Q8—82no—
2056Q8—84no—
2057D4—28no—
2058D4—48no—
2059D4—48no—
2060D4—48no—
2061D4—84no—
2062D4—84no—
2063D4—84no—
2064D4—82no—
2065D4—84no—
2066D4—82no—
2067D4—82no—
2068D4—84no—
2069D4—84no—
2070D4—84no—
2071D4—84no—
2072D4—162no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—22no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—22no—
2084C2×C4—21no—
2085C2×C4—21no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—21no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—21no—
2115C2×C4—21no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—21no—
2122C2×C4—21no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—21no—
2131C2×C4—21no—
2132C2×C4—21no—
2133C2×C4—21no—
2134C2×C4—21no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—21no—
2141C2×C4—21no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—21no—
2145C2×C4—21no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—21no—
2158C2×C4—21no—
2159C2×C4—22no—
2160C2×C4—21no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—48no—
2168C2×C4—44no—
2169C2×C4—44no—
2170C2×C4—44no—
2171C2×C4—44no—
2172C2×C4—44no—
2173C2×C4—48no—
2174C2×C4—84no—
2175C2×C4—84no—
2176C2×C4—84no—
2177C2×C4—84no—
2178C2×C4—82no—
2179C2×C4—84no—
2180C2×C4—84no—
2181C2×C4—84no—
2182C2×C4—84no—
2183C2×C4—84no—
2184C2×C4—84no—
2185C2×C4—84no—
2186C2×C4—162no—
2187C2×C4—162no—
2188C2×C4—162no—
2189C2×C4—162no—
2190C2×C4C22×#4114yes—
2191C2×C4C22×#4112yes—
2192C2×C4C22×#4112yes—
2193C2×C4C22×#4114yes—
2194C2×C4C2×H(5,𝔽2)12yes—
2195C2×C4C2×2−1+412yes—
2196C2×C4C2×2−1+412yes—
2197C2×C4#58512yes—
2198C22—22no—
2199C22—22no—
2200C22—22no—
2201C22—22no—
2202C22—22no—
2203C22—22no—
2204C22—22no—
2205C22—22no—
2206C22—22no—
2207C22—41no—
2208C22—41no—
2209C22—41no—
2210C22—41no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22—42no—
2225C22—42no—
2226C22—42no—
2227C22—42no—
2228C22—42no—
2229C22—42no—
2230C22—42no—
2231C22—42no—
2232C22#352214yes—
2233C22C23×#4111yescharacteristic
2234C22C22×H(5,𝔽2)11yescharacteristic
2235C22C22×2−1+411yescharacteristic
2236C22C2×#58511yescharacteristic
2237C22H(7,𝔽2)11yescharacteristic
2238C22H(7,𝔽2)11yescharacteristic
2239C222−1+611yescharacteristic
2240C4—24no—
2241C4—24no—
2242C4—22no—
2243C4—22no—
2244C4—22no—
2245C4—22no—
2246C4—22no—
2247C4—22no—
2248C4—42no—
2249C4—42no—
2250C4—41no—
2251C4—42no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—42no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—41no—
2260C4—41no—
2261C4—42no—
2262C4—42no—
2263C4—42no—
2264C4—42no—
2265C4—41no—
2266C4—41no—
2267C4—41no—
2268C4—42no—
2269C4—42no—
2270C4—42no—
2271C4—42no—
2272C4—42no—
2273C4—41no—
2274C2—24no—
2275C2—42no—
2276C2—82no—
2277C2—82no—
2278C2—82no—
2279C2C2×#352211yescharacteristic
2280C2#6285611yescharacteristic
2281C2#6286411yescharacteristic
2282C2#6289611yescharacteristic
2283C2#6295611yescharacteristic
2284C2#6299211yescharacteristic
2285C2#6304911yescharacteristic
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. #59886C2semidirect
2. #59826C2semidirect
3. C2×#2806C2semidirect
4. #50451C2semidirect
5. #50247C2semidirect
6. #50062C2semidirect
7. #49514C2semidirect
8. #48382C2semidirect
9. #48106C2semidirect
10. #47271C2semidirect
11. #46775C2semidirect
12. #46090C2semidirect
13. #45965C2semidirect
14. #44329C2semidirect
15. #44014C2semidirect
16. #43526C2semidirect
17. #43124C2semidirect
18. #43097C2semidirect
19. #41851C2semidirect
20. #41336C2semidirect
21. #40667C2semidirect
22. #40664C2semidirect
23. #39804C2semidirect
24. #39768C2semidirect
25. #39742C2semidirect
26. #39574C2semidirect
27. #39160C2semidirect
28. #38769C2semidirect
29. #38762C2semidirect
30. #38467C2semidirect
31. #38124C2semidirect
32. #37251C2semidirect
33. #37167C2semidirect
34. #36396C2semidirect
35. #35953C2semidirect
36. #35387C2semidirect
37. #35030C2semidirect
38. #34497C2semidirect
39. #34332C2semidirect
1316. C2×C4⋊C4#41semidirect

Maximal subgroups

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

subgroupindex
#598862
#598262
C2×#28062
#504512
#502472
#500622
#495142
#483822
#481062
#472712
#467752
#460902
#459652
#443292
#440142
#435262
#431242
#430972
#418512
#413362
#406672
#406642
#398042
#397682
#397422
#395742
#391602
#387692
#387622
#384672
#381242
#372512
#371672
#363962
#359532
#353872
#350302
#344972
#343322