Finite Group Databasebeta

← #7697166

Subgroups — #7697166

Order 512.

4745 conjugacy classes of subgroups.

The subgroup lattice has 2251 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59885C211yesmaximal, characteristic, complemented
2#59877C211yesmaximal, characteristic, complemented
3#59866C211yesmaximal, characteristic, complemented
4#59533C212yesmaximal, complemented
5#59522C212yesmaximal, complemented
6#59236C212yesmaximal, complemented
7#52306C211yesmaximal, characteristic, complemented
8#52280C211yesmaximal, characteristic, complemented
9#52169C211yesmaximal, characteristic, complemented
10#44799C212yesmaximal, complemented
11#44423C212yesmaximal, complemented
12#44320C212yesmaximal, complemented
13#44254C212yesmaximal, complemented
14#44199C212yesmaximal, complemented
15#44067C212yesmaximal, complemented
16#44026C212yesmaximal, complemented
17#43953C212yesmaximal, complemented
18#43903C212yesmaximal, complemented
19#40442C212yesmaximal, complemented
20#40320C212yesmaximal, complemented
21#40200C212yesmaximal, complemented
22#39848C212yesmaximal, complemented
23#39582C211yesmaximal, characteristic, complemented
24#39455C211yesmaximal, characteristic, complemented
25#38831C211yesmaximal, characteristic, complemented
26#38771C211yesmaximal, characteristic, complemented
27#38487C211yesmaximal, characteristic, complemented
28#38446C211yesmaximal, characteristic, complemented
29#38337C212yesmaximal, complemented
30#37918C212yesmaximal, complemented
31#36537C211yesmaximal, characteristic, complemented
32#36501C212yesmaximal, complemented
33#35991C212yesmaximal, complemented
34#35782C212yesmaximal, complemented
35#35733C212yesmaximal, complemented
36#34327C211yesmaximal, characteristic, complemented
37#34323C211yesmaximal, characteristic, complemented
38#34279C212yesmaximal, complemented
39#34237C212yesmaximal, complemented
40C2×#553C2211yescharacteristic
41C2×#548C2211yescharacteristic
42C2×#542C2212yes—
43C2×#529C2212yes—
44#2865C2212yes—
45#2861C2212yes—
46#2861C2211yescharacteristic
47#2855C2211yescharacteristic
48#2854C2211yescharacteristic
49#2852C2212yes—
50#2809C2211yescharacteristic
51#2808C2211yescharacteristic
52#2808C2211yescharacteristic
53#2806C2211yescharacteristic
54#2806C2211yescharacteristic
55#2805C2211yescharacteristic
56#2805C2211yescharacteristic
57#2803C2212yes—
58#2803C2212yes—
59#2801C2212yes—
60#2800C2212yes—
61#2798C2212yes—
62#2797C2212yes—
63#2788C2212yes—
64#2788C2212yes—
65#2783C2212yes—
66#2781C2212yes—
67#2781C2212yes—
68#2780C2212yes—
69#2779C2212yes—
70#2779C2212yes—
71#2779C2212yes—
72#2778C2212yes—
73#2775C2212yes—
74#2775C2212yes—
75#2775C2212yes—
76#2775C2212yes—
77#2770C2212yes—
78#2770C2212yes—
79#2769C2212yes—
80#2764C2212yes—
81#2758C2212yes—
82#2756C2212yes—
83#2756C2212yes—
84#2755C2212yes—
85#2753C2212yes—
86#2734C2211yescharacteristic
87#2733C2211yescharacteristic
88#2733C2211yescharacteristic
89#2733C2212yes—
90#2731C2212yes—
91#2730C2212yes—
92#2727C2211yescharacteristic
93#2727C2211yescharacteristic
94#2727C2211yescharacteristic
95#2726C2211yescharacteristic
96#2721C2212yes—
97#2721C2212yes—
98#2715C2212yes—
99#2715C2212yes—
100#2715C2212yes—
101#2714C2212yes—
102#2714C2212yes—
103#2713C2212yes—
104#2712C2212yes—
105#2710C2212yes—
106#2707C2212yes—
107#2702C2212yes—
108#2695C2212yes—
109#2695C2212yes—
110#2691C2212yes—
111#2690C2212yes—
112#2683C2211yescharacteristic
113#2682C2211yescharacteristic
114#2676C2212yes—
115#2676C2212yes—
116#2676C2212yes—
117#2675C2212yes—
118#2671C2212yes—
119#2671C2212yes—
120#2666C2212yes—
121#2661C2212yes—
122#2655C2212yes—
123#2650C2212yes—
124#2650C2212yes—
125#2649C2212yes—
126#2637C2212yes—
127#2635C2212yes—
128#2630C2212yes—
129#2611C2212yes—
130#2605C2212yes—
131#2605C2212yes—
132#2603C2212yes—
133#2602C2212yes—
134#2602C2212yes—
135#2602C2212yes—
136#2601C2212yes—
137#2600C2212yes—
138#2598C2212yes—
139#2597C2212yes—
140#2597C2212yes—
141#2597C2212yes—
142#2596C2212yes—
143#2596C2212yes—
144#2596C2212yes—
145#2595C2212yes—
146#2595C2212yes—
147#2595C2212yes—
148#2594C2212yes—
149#2594C2212yes—
150#2593C2212yes—
151#2593C2212yes—
152#2591C2212yes—
153#2591C2212yes—
154#2590C2212yes—
155#2587C2212yes—
156#2585C2212yes—
157#2585C2212yes—
158#2583C2212yes—
159#2578C2212yes—
160#2578C2212yes—
161#2578C2212yes—
162#2578C2212yes—
163#2578C2212yes—
164#2578C2212yes—
165#2575C2212yes—
166#2574C2212yes—
167#2574C2212yes—
168#2573C2212yes—
169#2572C2212yes—
170#2569C2212yes—
171#2562C2212yes—
172#2562C2211yescharacteristic
173#2560C2212yes—
174#2559C2212yes—
175#2559C2212yes—
176#2558C2212yes—
177#2558C2212yes—
178#2557C2212yes—
179#2555C2212yes—
180#2555C2212yes—
181#2555C2212yes—
182#2555C2212yes—
183#2550C2212yes—
184#2549C2212yes—
185#2547C2212yes—
186#2545C2212yes—
187#2543C2212yes—
188#2543C2212yes—
189#2540C2211yescharacteristic
190#2535C2212yes—
191#2533C2212yes—
192#2532C2212yes—
193#2532C2212yes—
194#2532C2212yes—
195#2531C2212yes—
196#2531C2212yes—
197#2531C2212yes—
198#2529C2212yes—
199#2529C2212yes—
200#2528C2212yes—
201#2527C2212yes—
202#2526C2212yes—
203#2526C2212yes—
204#2525C2212yes—
205#2525C2212yes—
206#2524C2212yes—
207#2522C2212yes—
208#2521C2212yes—
209#2521C2212yes—
210#2518C2212yes—
211#2516C2212yes—
212#2515C2212yes—
213#2515C2212yes—
214#2511C2212yes—
215#2505C2212yes—
216#2491C2212yes—
217#2490C2212yes—
218#2490C2211yescharacteristic
219#2489C2212yes—
220#2489C2211yescharacteristic
221#2481C2212yes—
222#2477C2212yes—
223#2476C2212yes—
224#2476C2212yes—
225#2476C2212yes—
226#2475C2212yes—
227#2475C2212yes—
228#2474C2212yes—
229#2474C2212yes—
230#2473C2212yes—
231#2473C2212yes—
232#2473C2212yes—
233#2471C2212yes—
234#2469C2212yes—
235#2467C2212yes—
236#2465C2212yes—
237#2465C2212yes—
238#2465C2212yes—
239#2464C2212yes—
240#2464C2212yes—
241#2464C2212yes—
242#2463C2212yes—
243#2462C2212yes—
244#2462C2212yes—
245#2461C2212yes—
246#2461C2212yes—
247#2461C2212yes—
248#2460C2212yes—
249#2460C2212yes—
250#2459C2212yes—
251#2459C2212yes—
252#2459C2212yes—
253#2458C2212yes—
254#2457C2212yes—
255#2457C2212yes—
256#2456C2212yes—
257#2456C2212yes—
258#2453C2212yes—
259#2452C2212yes—
260#2446C2212yes—
261#2444C2212yes—
262#2443C2212yes—
263#2438C2212yes—
264#2436C2212yes—
265#2434C2212yes—
266#2430C2212yes—
267#2426C2212yes—
268#2422C2212yes—
269#2421C2211yescharacteristic
270#2420C2211yescharacteristic
271#2420C2212yes—
272#2419C2212yes—
273#2416C2212yes—
274#2414C2212yes—
275#2414C2212yes—
276#2396C2212yes—
277#2396C2212yes—
278#2396C2212yes—
279#2395C2212yes—
280#2395C2212yes—
281#2392C2212yes—
282#2392C2212yes—
283#2392C2212yes—
284#2388C2212yes—
285#2374C2212yes—
286#2374C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2373C2212yes—
290#2373C2212yes—
291#2373C2212yes—
292#2372C2212yes—
293#2372C2212yes—
294#2372C2212yes—
295#2370C2211yescharacteristic
296#2370C2212yes—
297#2370C2212yes—
298#2370C2211yescharacteristic
299#2368C2212yes—
300#2368C2212yes—
301#2368C2212yes—
302#2367C2212yes—
303#2367C2211yescharacteristic
304#2367C2212yes—
305#2367C2212yes—
306#2367C2212yes—
307#2367C2211yescharacteristic
308#2364C2212yes—
309#2364C2212yes—
310#2363C2211yescharacteristic
311#2363C2212yes—
312#2363C2212yes—
313#2362C2211yescharacteristic
314#2362C2212yes—
315#2362C2212yes—
316#2362C2212yes—
317#2361C2212yes—
318#2361C2211yescharacteristic
319#2361C2211yescharacteristic
320#2359C2212yes—
321#2359C2212yes—
322#2359C2212yes—
323#2359C2212yes—
324#2357C2212yes—
325#2357C2212yes—
326#2356C2211yescharacteristic
327#2353C2212yes—
328#2353C2212yes—
329#2353C2212yes—
330#2353C2212yes—
331#2352C2212yes—
332#2352C2211yescharacteristic
333#2352C2211yescharacteristic
334#2349C2211yescharacteristic
335#2346C2211yescharacteristic
336#2346C2212yes—
337#2346C2212yes—
338#2345C2211yescharacteristic
339#2345C2212yes—
340#2343C2212yes—
341#2343C2212yes—
342Q8×C22⋊C4C2211yescharacteristic
343#2339C2211yescharacteristic
344#2337C2212yes—
345#2335C2212yes—
346#2335C2212yes—
347#2335C2212yes—
348#2335C2212yes—
349#2335C2212yes—
350#2334C2212yes—
351#2332C2212yes—
352#2331C2212yes—
353#2326C2212yes—
354#2325C2212yes—
355#2325C2212yes—
356#2324C2212yes—
357#2323C2212yes—
358#2320C2212yes—
359#2319C2212yes—
360#2314C2212yes—
361C4×C4⋊Q8C2212yes—
362C4×#125C2211yescharacteristic
363C4×#125C2211yescharacteristic
364C4×#126C2212yes—
365C4×#126C2212yes—
366C4×#126C2212yes—
367C4×#126C2212yes—
368C4×#126C2212yes—
369C4×#124C2211yescharacteristic
370C4×#124C2212yes—
371C4×#124C2212yes—
372C4×C22⋊Q8C2211yescharacteristic
373C4×C22⋊Q8C2212yes—
374C4×C22⋊Q8C2211yescharacteristic
375C4×#121C2211yescharacteristic
376C4×#121C2211yescharacteristic
377C4×#121C2211yescharacteristic
378C4×#121C2212yes—
379C4×#121C2212yes—
380C4×#121C2211yescharacteristic
381#2297C2211yescharacteristic
382#2296C2211yescharacteristic
383#2295C2211yescharacteristic
384#2295C2212yes—
385C2×#391C2211yescharacteristic
386#2293C2211yescharacteristic
387#2293C2212yes—
388C2×#389C2211yescharacteristic
389#2283C2212yes—
390#2276C2212yes—
391#2275C2212yes—
392#2275C2212yes—
393C42×D4C2211yescharacteristic
394C4×#117C2212yes—
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397#553—28no—
398#548—28no—
399#542—216no—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402#529—216no—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#125C2311yescharacteristic
410C2×#125C2312yes—
411C2×#125C2311yescharacteristic
412C2×#125C2311yescharacteristic
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2311yescharacteristic
421C2×#124C2311yescharacteristic
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2311yescharacteristic
492C2×#117C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2311yescharacteristic
500C22×C42C2312yes—
501C22×C42C2311yescharacteristic
502C22×C42C2311yescharacteristic
503#401C2312yes—
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#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
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#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#392C2312yes—
646#392C2312yes—
647#392C2312yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2311yescharacteristic
663#391C2311yescharacteristic
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2311yescharacteristic
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2311yescharacteristic
674#391C2311yescharacteristic
675#391C2311yescharacteristic
676#391C2311yescharacteristic
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2311yescharacteristic
684#391C2311yescharacteristic
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2312yes—
696#390C2311yescharacteristic
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2311yescharacteristic
701#390C2311yescharacteristic
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#390C2311yescharacteristic
708#390C2312yes—
709#390C2311yescharacteristic
710#389C2311yescharacteristic
711#389C2311yescharacteristic
712#389C2311yescharacteristic
713#389C2311yescharacteristic
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2311yescharacteristic
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2311yescharacteristic
731#389C2312yes—
732#389C2311yescharacteristic
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2311yescharacteristic
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2311yescharacteristic
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2311yescharacteristic
747#389C2311yescharacteristic
748#389C2311yescharacteristic
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
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#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#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#387C2312yes—
920#387C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
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#385C2312yes—
960#385C2312yes—
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#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#384C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#382C2311yescharacteristic
1001#382C2311yescharacteristic
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2311yescharacteristic
1009#381C2312yes—
1010#381C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2311yescharacteristic
1020#380C2311yescharacteristic
1021#380C2311yescharacteristic
1022#380C2311yescharacteristic
1023#380C2311yescharacteristic
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2311yescharacteristic
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2311yescharacteristic
1035#380C2311yescharacteristic
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2311yescharacteristic
1038C4×C4⋊C4C2311yescharacteristic
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2311yescharacteristic
1055C4×C4⋊C4C2311yescharacteristic
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2311yescharacteristic
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
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—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2311yescharacteristic
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2311yescharacteristic
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2311yescharacteristic
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2312yes—
1144C43C2312yes—
1145C43C2311yescharacteristic
1146C2×#41—24no—
1147C2×#41—81no—
1148C2×#41—81no—
1149C22×Q8—24no—
1150C22×Q8—81no—
1151C22×Q8—81no—
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2412yes—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×D4C2411yescharacteristic
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2411yescharacteristic
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2411yescharacteristic
1192C23×C4C2411yescharacteristic
1193C4⋊Q8—28no—
1194C4⋊Q8—82no—
1195#126—28no—
1196#126—28no—
1197#126—28no—
1198#126—28no—
1199#126—28no—
1200#126—44no—
1201#125—28no—
1202#125—24no—
1203#125—42no—
1204#125—42no—
1205#125—82no—
1206#125—82no—
1207#124—28no—
1208#124—24no—
1209#124—28no—
1210#124—28no—
1211#124—28no—
1212#124—28no—
1213#124—42no—
1214#124—44no—
1215#124—82no—
1216#124—82no—
1217#123—28no—
1218#123—28no—
1219#123—28no—
1220#123—28no—
1221#123—28no—
1222#123—44no—
1223#123—82no—
1224C22⋊Q8—28no—
1225C22⋊Q8—28no—
1226C22⋊Q8—28no—
1227C22⋊Q8—28no—
1228C22⋊Q8—42no—
1229C22⋊Q8—82no—
1230C22⋊Q8—81no—
1231C22⋊Q8#4118yes—
1232#121—24no—
1233#121—24no—
1234#121—24no—
1235#121—28no—
1236#121—28no—
1237#121—28no—
1238#121—28no—
1239#121—44no—
1240#121—44no—
1241#121—42no—
1242#121—82no—
1243#121—82no—
1244#121—82no—
1245#121—82no—
1246#121—82no—
1247#121—81no—
1248C4×Q8—28no—
1249C4×Q8—24no—
1250C4×Q8—28no—
1251C4×Q8—44no—
1252C4×Q8—81no—
1253C4×Q8—81no—
1254C4×Q8—82no—
1255C4×Q8—81no—
1256C4×D4—28no—
1257C4×D4—28no—
1258C4×D4—28no—
1259C4×D4—24no—
1260C4×D4—24no—
1261C4×D4—28no—
1262C4×D4—24no—
1263C4×D4—28no—
1264C4×D4—28no—
1265C4×D4—44no—
1266C4×D4—42no—
1267C4×D4—44no—
1268C4×D4—44no—
1269C4×D4—81no—
1270C4×D4—81no—
1271C4×D4—81no—
1272C4×D4—81no—
1273C4×D4—82no—
1274C4×D4—82no—
1275C4×D4—82no—
1276C4×D4—81no—
1277C4×D4—82no—
1278C4×D4—82no—
1279#117—28no—
1280#117—28no—
1281#117—44no—
1282#117—44no—
1283#117—81no—
1284#117—82no—
1285#117—81no—
1286#117—82no—
1287#117#4118yescomplemented
1288C2×C4⋊C4—24no—
1289C2×C4⋊C4—44no—
1290C2×C4⋊C4—81no—
1291C2×C4⋊C4—81no—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2411yescharacteristic
1362C2×C4⋊C4C2411yescharacteristic
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2411yescharacteristic
1380C2×C22⋊C4C2411yescharacteristic
1381C2×C22⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2411yescharacteristic
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2411yescharacteristic
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
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×C42—28no—
1457C2×C42—81no—
1458C2×C42—81no—
1459C2×C42C2411yescharacteristic
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2411yescharacteristic
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2411yescharacteristic
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2411yescharacteristic
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
1487C2×C42C2411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2411yescharacteristic
1501C2×C42C2412yes—
1502C2×C42C2411yescharacteristic
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505#95C2411yescharacteristic
1506#95C2412yes—
1507#95C2412yes—
1508#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2411yescharacteristic
1552#95C2411yescharacteristic
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#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
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—
1609C24C2512yes—
1610C24C2512yes—
1611C24C2512yes—
1612C24C2511yescharacteristic
1613C24C2511yescharacteristic
1614#41—88no—
1615C2×Q8—24no—
1616C2×Q8—24no—
1617C2×Q8—22no—
1618C2×Q8—24no—
1619C2×Q8—24no—
1620C2×Q8—22no—
1621C2×Q8—42no—
1622C2×Q8—41no—
1623C2×Q8—41no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—41no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—88no—
1633C2×Q8C2×#4114yes—
1634C2×D4—22no—
1635C2×D4—22no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—22no—
1645C2×D4—22no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—22no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—41no—
1652C2×D4—41no—
1653C2×D4—41no—
1654C2×D4—41no—
1655C2×D4—41no—
1656C2×D4—42no—
1657C2×D4—41no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—41no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C22×C4—24no—
1683C22×C4—22no—
1684C22×C4—24no—
1685C22×C4—22no—
1686C22×C4—24no—
1687C22×C4—24no—
1688C22×C4—24no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—24no—
1693C22×C4—24no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—24no—
1697C22×C4—41no—
1698C22×C4—41no—
1699C22×C4—41no—
1700C22×C4—41no—
1701C22×C4—41no—
1702C22×C4—42no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—41no—
1706C22×C4—41no—
1707C22×C4—41no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—41no—
1713C22×C4—41no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4C2×#4114yes—
1738C22×C4C2×#4114yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2511yescharacteristic
1742C22×C4C2511yescharacteristic
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2511yescharacteristic
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2511yescharacteristic
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2511yescharacteristic
1764C22×C4C2511yescharacteristic
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C4⋊C4—22no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—22no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—22no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—22no—
1800C4⋊C4—22no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—41no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—41no—
1814C4⋊C4—41no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—41no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—41no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—41no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4C2×#4114yes—
1851C4⋊C4C2×#4118yes—
1852C4⋊C4C2×#4114yes—
1853C4⋊C4C2×#4114yes—
1854C22⋊C4—22no—
1855C22⋊C4—24no—
1856C22⋊C4—22no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—22no—
1865C22⋊C4—22no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—22no—
1885C22⋊C4—22no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4C2×#4118yes—
1936C22⋊C4C2×#4118yes—
1937C42—24no—
1938C42—24no—
1939C42—24no—
1940C42—24no—
1941C42—24no—
1942C42—24no—
1943C42—22no—
1944C42—22no—
1945C42—24no—
1946C42—24no—
1947C42—24no—
1948C42—22no—
1949C42—24no—
1950C42—22no—
1951C42—41no—
1952C42—41no—
1953C42—41no—
1954C42—41no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—41no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—41no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42C2×#4118yes—
1983C23—21no—
1984C23—21no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23C22×#4112yes—
2017C23C22×#4112yes—
2018C23C2611yescharacteristic
2019Q8—44no—
2020Q8—48no—
2021Q8—44no—
2022Q8—84no—
2023Q8—82no—
2024Q8—84no—
2025D4—48no—
2026D4—48no—
2027D4—44no—
2028D4—44no—
2029D4—44no—
2030D4—84no—
2031D4—84no—
2032D4—82no—
2033D4—84no—
2034D4—84no—
2035D4—84no—
2036D4—84no—
2037D4—84no—
2038D4—84no—
2039D4—84no—
2040D4—162no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—21no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—21no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—22no—
2110C2×C4—21no—
2111C2×C4—21no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—21no—
2124C2×C4—21no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—21no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—44no—
2134C2×C4—44no—
2135C2×C4—48no—
2136C2×C4—44no—
2137C2×C4—44no—
2138C2×C4—84no—
2139C2×C4—84no—
2140C2×C4—84no—
2141C2×C4—84no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—84no—
2145C2×C4—82no—
2146C2×C4—82no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—162no—
2150C2×C4—162no—
2151C2×C4—162no—
2152C2×C4C22×#4112yes—
2153C2×C4C22×#4114yes—
2154C2×C4C22×#4114yes—
2155C2×C4C22×#4112yes—
2156C2×C4C22×#4114yes—
2157C2×C4C22×#4114yes—
2158C2×C4C22×#4112yes—
2159C2×C4C22×#4112yes—
2160C2×C4#58512yes—
2161C2×C4#58512yes—
2162C22—22no—
2163C22—22no—
2164C22—22no—
2165C22—22no—
2166C22—22no—
2167C22—22no—
2168C22—41no—
2169C22—41no—
2170C22—41no—
2171C22—41no—
2172C22—41no—
2173C22—41no—
2174C22—41no—
2175C22—41no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22C23×#4111yescharacteristic
2198C22C23×#4111yescharacteristic
2199C22C2×#58511yescharacteristic
2200C22C2×#58511yescharacteristic
2201C22H(7,𝔽2)11yescharacteristic
2202C22H(7,𝔽2)11yescharacteristic
2203C222−1+611yescharacteristic
2204C4—24no—
2205C4—22no—
2206C4—22no—
2207C4—22no—
2208C4—24no—
2209C4—22no—
2210C4—22no—
2211C4—22no—
2212C4—24no—
2213C4—24no—
2214C4—42no—
2215C4—41no—
2216C4—42no—
2217C4—42no—
2218C4—41no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—41no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—41no—
2229C4—42no—
2230C4—42no—
2231C4—41no—
2232C4—41no—
2233C4—42no—
2234C4—42no—
2235C4—42no—
2236C4—41no—
2237C4—42no—
2238C2—42no—
2239C2—42no—
2240C2—82no—
2241C2—82no—
2242C2—82no—
2243C2#41211yescharacteristic
2244C2#6284611yescharacteristic
2245C2#6285611yescharacteristic
2246C2#6296511yescharacteristic
2247C2#6299411yescharacteristic
2248C2#6300711yescharacteristic
2249C2#6305911yescharacteristic
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. #59885C2semidirect
2. #59877C2semidirect
3. #59866C2semidirect
4. #59533C2semidirect
5. #59522C2semidirect
6. #59236C2semidirect
7. #52306C2semidirect
8. #52280C2semidirect
9. #52169C2semidirect
10. #44799C2semidirect
11. #44423C2semidirect
12. #44320C2semidirect
13. #44254C2semidirect
14. #44199C2semidirect
15. #44067C2semidirect
16. #44026C2semidirect
17. #43953C2semidirect
18. #43903C2semidirect
19. #40442C2semidirect
20. #40320C2semidirect
21. #40200C2semidirect
22. #39848C2semidirect
23. #39582C2semidirect
24. #39455C2semidirect
25. #38831C2semidirect
26. #38771C2semidirect
27. #38487C2semidirect
28. #38446C2semidirect
29. #38337C2semidirect
30. #37918C2semidirect
31. #36537C2semidirect
32. #36501C2semidirect
33. #35991C2semidirect
34. #35782C2semidirect
35. #35733C2semidirect
36. #34327C2semidirect
37. #34323C2semidirect
38. #34279C2semidirect
39. #34237C2semidirect
1287. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598852
#598772
#598662
#595332
#595222
#592362
#523062
#522802
#521692
#447992
#444232
#443202
#442542
#441992
#440672
#440262
#439532
#439032
#404422
#403202
#402002
#398482
#395822
#394552
#388312
#387712
#384872
#384462
#383372
#379182
#365372
#365012
#359912
#357822
#357332
#343272
#343232
#342792
#342372