Finite Group Databasebeta

← #7898343

Subgroups — #7898343

Order 512.

4369 conjugacy classes of subgroups.

The subgroup lattice has 2181 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59886C211yesmaximal, characteristic, complemented
2#59731C212yesmaximal, complemented
3#52281C211yesmaximal, characteristic, complemented
4#51187C212yesmaximal, complemented
5#51129C212yesmaximal, complemented
6#50000C212yesmaximal, complemented
7#49742C212yesmaximal, complemented
8#48758C212yesmaximal, complemented
9#47941C212yesmaximal, complemented
10#47386C212yesmaximal, complemented
11#47318C212yesmaximal, complemented
12#45959C211yesmaximal, characteristic, complemented
13#45787C211yesmaximal, characteristic, complemented
14#44469C212yesmaximal, complemented
15#44177C212yesmaximal, complemented
16#44155C212yesmaximal, complemented
17#43450C212yesmaximal, complemented
18#43333C212yesmaximal, complemented
19#42828C212yesmaximal, complemented
20#42406C212yesmaximal, complemented
21#42098C212yesmaximal, complemented
22#41040C212yesmaximal, complemented
23#40308C212yesmaximal, complemented
24#39640C211yesmaximal, characteristic, complemented
25#39582C211yesmaximal, characteristic, complemented
26#39312C212yesmaximal, complemented
27#38811C211yesmaximal, characteristic, complemented
28#38626C212yesmaximal, complemented
29#38493C211yesmaximal, characteristic, complemented
30#38486C211yesmaximal, characteristic, complemented
31#38446C211yesmaximal, characteristic, complemented
32#37324C211yesmaximal, characteristic, complemented
33#37207C211yesmaximal, characteristic, complemented
34#36277C211yesmaximal, characteristic, complemented
35#35799C212yesmaximal, complemented
36#35602C212yesmaximal, complemented
37#35037C211yesmaximal, characteristic, complemented
38#34528C212yesmaximal, complemented
39#34327C211yesmaximal, characteristic, complemented
40C2×#563C2212yes—
41C2×#548C2211yescharacteristic
42#2866C2212yes—
43#2864C2211yescharacteristic
44#2863C2211yescharacteristic
45#2860C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2855C2211yescharacteristic
49#2854C2211yescharacteristic
50#2833C2212yes—
51#2833C2212yes—
52#2831C2212yes—
53#2814C2212yes—
54#2808C2211yescharacteristic
55#2808C2212yes—
56#2806C2211yescharacteristic
57#2806C2211yescharacteristic
58#2806C2212yes—
59#2806C2212yes—
60#2806C2211yescharacteristic
61#2805C2211yescharacteristic
62#2805C2211yescharacteristic
63#2805C2211yescharacteristic
64#2805C2211yescharacteristic
65#2804C2211yescharacteristic
66#2802C2212yes—
67#2789C2212yes—
68#2787C2212yes—
69#2786C2212yes—
70#2786C2212yes—
71#2783C2212yes—
72#2782C2212yes—
73#2782C2212yes—
74#2782C2212yes—
75#2781C2212yes—
76#2779C2212yes—
77#2779C2212yes—
78#2778C2212yes—
79#2777C2212yes—
80#2777C2212yes—
81#2776C2212yes—
82#2776C2212yes—
83#2775C2212yes—
84#2774C2212yes—
85#2774C2212yes—
86#2773C2212yes—
87#2773C2212yes—
88#2771C2212yes—
89#2770C2212yes—
90#2770C2212yes—
91#2770C2212yes—
92#2767C2212yes—
93#2767C2212yes—
94#2766C2212yes—
95#2765C2212yes—
96#2761C2212yes—
97#2759C2212yes—
98#2759C2212yes—
99#2759C2212yes—
100#2756C2212yes—
101#2755C2212yes—
102#2754C2212yes—
103#2753C2212yes—
104#2746C2212yes—
105#2746C2212yes—
106#2741C2212yes—
107#2741C2212yes—
108#2739C2212yes—
109#2738C2212yes—
110#2734C2211yescharacteristic
111#2733C2211yescharacteristic
112#2732C2211yescharacteristic
113#2731C2212yes—
114#2731C2212yes—
115#2730C2212yes—
116#2729C2212yes—
117#2727C2211yescharacteristic
118#2727C2212yes—
119#2727C2211yescharacteristic
120#2727C2211yescharacteristic
121#2726C2211yescharacteristic
122#2723C2212yes—
123#2722C2212yes—
124#2721C2212yes—
125#2715C2212yes—
126#2715C2212yes—
127#2714C2212yes—
128#2713C2212yes—
129#2711C2212yes—
130#2710C2212yes—
131#2708C2212yes—
132#2708C2212yes—
133#2702C2212yes—
134#2702C2212yes—
135#2702C2212yes—
136#2698C2212yes—
137#2694C2212yes—
138#2691C2212yes—
139#2690C2212yes—
140#2687C2212yes—
141#2683C2212yes—
142#2677C2212yes—
143#2677C2212yes—
144#2676C2212yes—
145#2674C2212yes—
146#2672C2212yes—
147#2672C2212yes—
148#2666C2212yes—
149#2665C2212yes—
150#2655C2212yes—
151#2654C2212yes—
152#2653C2212yes—
153#2653C2212yes—
154#2653C2212yes—
155#2650C2212yes—
156#2650C2212yes—
157#2649C2212yes—
158#2646C2212yes—
159#2635C2212yes—
160#2634C2212yes—
161#2630C2212yes—
162#2630C2212yes—
163#2621C2212yes—
164#2616C2212yes—
165#2612C2212yes—
166#2607C2212yes—
167#2607C2212yes—
168#2605C2212yes—
169#2605C2212yes—
170#2604C2212yes—
171#2604C2212yes—
172#2602C2212yes—
173#2600C2212yes—
174#2597C2212yes—
175#2596C2212yes—
176#2596C2212yes—
177#2595C2212yes—
178#2594C2212yes—
179#2589C2212yes—
180#2589C2212yes—
181#2589C2212yes—
182#2589C2212yes—
183#2588C2212yes—
184#2580C2212yes—
185#2579C2212yes—
186#2578C2212yes—
187#2578C2212yes—
188#2576C2212yes—
189#2576C2212yes—
190#2575C2212yes—
191#2574C2212yes—
192#2574C2212yes—
193#2574C2212yes—
194#2573C2212yes—
195#2569C2212yes—
196#2569C2212yes—
197#2569C2212yes—
198#2568C2212yes—
199#2564C2212yes—
200#2564C2212yes—
201#2563C2212yes—
202#2560C2212yes—
203#2560C2212yes—
204#2559C2212yes—
205#2559C2212yes—
206#2557C2212yes—
207#2553C2212yes—
208#2550C2212yes—
209#2550C2212yes—
210#2549C2212yes—
211#2546C2212yes—
212#2543C2212yes—
213#2536C2212yes—
214#2533C2212yes—
215#2532C2212yes—
216#2530C2212yes—
217#2530C2212yes—
218#2529C2212yes—
219#2529C2212yes—
220#2529C2212yes—
221#2528C2212yes—
222#2528C2212yes—
223#2528C2212yes—
224#2528C2212yes—
225#2526C2212yes—
226#2526C2212yes—
227#2524C2212yes—
228#2524C2212yes—
229#2522C2212yes—
230#2522C2212yes—
231#2521C2212yes—
232#2521C2212yes—
233#2521C2212yes—
234#2521C2212yes—
235#2520C2212yes—
236#2520C2212yes—
237#2519C2212yes—
238#2519C2212yes—
239#2515C2212yes—
240#2515C2212yes—
241#2515C2212yes—
242#2514C2212yes—
243#2511C2212yes—
244#2511C2211yescharacteristic
245#2510C2212yes—
246#2510C2212yes—
247#2509C2212yes—
248#2508C2212yes—
249#2507C2211yescharacteristic
250#2505C2212yes—
251#2505C2212yes—
252#2505C2212yes—
253#2500C2211yescharacteristic
254#2496C2212yes—
255#2494C2212yes—
256#2494C2211yescharacteristic
257#2492C2212yes—
258#2492C2212yes—
259#2492C2212yes—
260#2492C2211yescharacteristic
261#2491C2212yes—
262#2488C2212yes—
263#2488C2212yes—
264#2488C2212yes—
265#2487C2211yescharacteristic
266#2485C2211yescharacteristic
267#2477C2212yes—
268#2476C2212yes—
269#2473C2212yes—
270#2471C2212yes—
271#2470C2212yes—
272#2469C2212yes—
273#2469C2212yes—
274#2469C2212yes—
275#2468C2212yes—
276#2467C2212yes—
277#2467C2212yes—
278#2467C2212yes—
279#2466C2212yes—
280#2465C2212yes—
281#2464C2212yes—
282#2463C2212yes—
283#2463C2212yes—
284#2462C2212yes—
285#2461C2212yes—
286#2460C2212yes—
287#2459C2212yes—
288#2458C2212yes—
289#2457C2212yes—
290#2455C2212yes—
291#2454C2212yes—
292#2452C2212yes—
293#2452C2211yescharacteristic
294#2451C2211yescharacteristic
295#2450C2212yes—
296#2446C2212yes—
297#2446C2212yes—
298#2443C2212yes—
299#2439C2211yescharacteristic
300#2439C2212yes—
301#2438C2212yes—
302#2438C2212yes—
303#2436C2212yes—
304#2434C2212yes—
305#2434C2212yes—
306#2430C2212yes—
307#2429C2212yes—
308#2429C2212yes—
309#2423C2212yes—
310#2423C2211yescharacteristic
311#2421C2212yes—
312#2420C2211yescharacteristic
313#2414C2211yescharacteristic
314#2409C2212yes—
315#2409C2211yescharacteristic
316#2398C2212yes—
317#2396C2212yes—
318#2395C2212yes—
319#2395C2212yes—
320#2395C2212yes—
321#2382C2212yes—
322#2382C2212yes—
323#2379C2212yes—
324#2374C2212yes—
325#2373C2212yes—
326#2373C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2372C2212yes—
331#2372C2212yes—
332#2368C2212yes—
333#2368C2212yes—
334#2368C2212yes—
335#2367C2211yescharacteristic
336#2365C2212yes—
337#2365C2212yes—
338#2364C2212yes—
339#2364C2212yes—
340#2362C2211yescharacteristic
341#2362C2212yes—
342#2361C2211yescharacteristic
343#2360C2212yes—
344#2359C2212yes—
345#2359C2212yes—
346#2356C2211yescharacteristic
347#2353C2212yes—
348#2353C2212yes—
349#2352C2211yescharacteristic
350#2349C2212yes—
351#2345C2211yescharacteristic
352#2343C2212yes—
353Q8×C22⋊C4C2211yescharacteristic
354Q8×C22⋊C4C2211yescharacteristic
355#2339C2211yescharacteristic
356#2337C2212yes—
357#2337C2212yes—
358#2335C2212yes—
359#2335C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2334C2212yes—
364#2334C2212yes—
365#2332C2212yes—
366#2332C2212yes—
367#2331C2212yes—
368#2331C2212yes—
369#2331C2212yes—
370#2329C2212yes—
371#2329C2212yes—
372#2325C2212yes—
373#2323C2212yes—
374#2323C2212yes—
375#2319C2212yes—
376C4×#125C2212yes—
377C4×#125C2212yes—
378C4×#126C2212yes—
379C4×#124C2211yescharacteristic
380C4×#124C2212yes—
381C4×C22⋊Q8C2211yescharacteristic
382C4×C22⋊Q8C2211yescharacteristic
383C4×#121C2211yescharacteristic
384C4×#121C2211yescharacteristic
385#2297C2211yescharacteristic
386#2296C2211yescharacteristic
387#2295C2212yes—
388#2295C2211yescharacteristic
389#2295C2211yescharacteristic
390C2×#391C2211yescharacteristic
391C2×#391C2211yescharacteristic
392#2293C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#563—216no—
399#548—28no—
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2312yes—
418C2×#124C2312yes—
419C2×#124C2311yescharacteristic
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2311yescharacteristic
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2311yescharacteristic
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2311yescharacteristic
476C22×C42C2311yescharacteristic
477C22×C42C2311yescharacteristic
478#401C2312yes—
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
482#401C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#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#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
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#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2311yescharacteristic
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2311yescharacteristic
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2311yescharacteristic
703#391C2311yescharacteristic
704#391C2312yes—
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2311yescharacteristic
709#390C2311yescharacteristic
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2312yes—
718#390C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2311yescharacteristic
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2311yescharacteristic
741#389C2312yes—
742#389C2312yes—
743#389C2311yescharacteristic
744#389C2311yescharacteristic
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2311yescharacteristic
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
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#388C2312yes—
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#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#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#384C2311yescharacteristic
1009#384C2311yescharacteristic
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2311yescharacteristic
1022#382C2312yes—
1023#382C2312yes—
1024#382C2311yescharacteristic
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2311yescharacteristic
1030#382C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2311yescharacteristic
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2312yes—
1062C4×C4⋊C4C2311yescharacteristic
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2311yescharacteristic
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2311yescharacteristic
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C43C2312yes—
1143C43C2311yescharacteristic
1144C2×#41—24no—
1145C2×#41—81no—
1146C2×#41—81no—
1147C22×Q8—24no—
1148C22×Q8—42no—
1149C22×Q8—42no—
1150C22×Q8—81no—
1151C22×Q8—81no—
1152C22×Q8—81no—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2412yes—
1161C22×Q8C2411yescharacteristic
1162C22×D4C2411yescharacteristic
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C23×C4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2411yescharacteristic
1187C4⋊Q8—28no—
1188C4⋊Q8—28no—
1189C4⋊Q8—44no—
1190C4⋊Q8—81no—
1191C4⋊Q8—81no—
1192C4⋊Q8—82no—
1193C4⋊Q8—82no—
1194#126—28no—
1195#126—28no—
1196#126—28no—
1197#126—28no—
1198#126—44no—
1199#126—44no—
1200#126—44no—
1201#126—82no—
1202#125—28no—
1203#125—28no—
1204#125—82no—
1205#124—24no—
1206#124—28no—
1207#124—28no—
1208#124—44no—
1209#124—44no—
1210#123—28no—
1211#123—28no—
1212#123—44no—
1213#123—82no—
1214#123—82no—
1215C22⋊Q8—28no—
1216C22⋊Q8—28no—
1217C22⋊Q8—28no—
1218C22⋊Q8—28no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—42no—
1222C22⋊Q8—82no—
1223C22⋊Q8—82no—
1224C22⋊Q8—82no—
1225C22⋊Q8—82no—
1226C22⋊Q8—81no—
1227C22⋊Q8—82no—
1228C22⋊Q8#4118yes—
1229#121—24no—
1230#121—24no—
1231#121—28no—
1232#121—82no—
1233#121—82no—
1234#121—81no—
1235C4×Q8—24no—
1236C4×Q8—44no—
1237C4×Q8—42no—
1238C4×Q8—81no—
1239C4×Q8—81no—
1240C4×Q8—81no—
1241C4×Q8—82no—
1242C4×Q8—82no—
1243C4×D4—24no—
1244C4×D4—28no—
1245C4×D4—24no—
1246C4×D4—28no—
1247C4×D4—44no—
1248C4×D4—42no—
1249C4×D4—44no—
1250C4×D4—81no—
1251C4×D4—81no—
1252C4×D4—82no—
1253C4×D4—82no—
1254C4×D4—82no—
1255C4×D4—81no—
1256#117—24no—
1257#117—81no—
1258#117—82no—
1259#117—81no—
1260#117—82no—
1261C2×C4⋊C4—42no—
1262C2×C4⋊C4—81no—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2411yescharacteristic
1357C2×C22⋊C4C2411yescharacteristic
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2411yescharacteristic
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2411yescharacteristic
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2411yescharacteristic
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊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×C42—81no—
1424C2×C42—81no—
1425C2×C42C2412yes—
1426C2×C42C2411yescharacteristic
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2411yescharacteristic
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2411yescharacteristic
1445C2×C42C2411yescharacteristic
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2411yescharacteristic
1461C2×C42C2411yescharacteristic
1462C2×C42C2412yes—
1463C2×C42C2411yescharacteristic
1464C2×C42C2411yescharacteristic
1465C2×C42C2412yes—
1466#95C2412yes—
1467#95C2411yescharacteristic
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2411yescharacteristic
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2411yescharacteristic
1509#95C2411yescharacteristic
1510#95C2411yescharacteristic
1511#95C2412yes—
1512#95C2411yescharacteristic
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
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#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—
1586C24C2512yes—
1587C24C2512yes—
1588C24C2511yescharacteristic
1589C24C2511yescharacteristic
1590#41—88no—
1591C2×Q8—22no—
1592C2×Q8—24no—
1593C2×Q8—24no—
1594C2×Q8—24no—
1595C2×Q8—22no—
1596C2×Q8—24no—
1597C2×Q8—22no—
1598C2×Q8—24no—
1599C2×Q8—41no—
1600C2×Q8—41no—
1601C2×Q8—41no—
1602C2×Q8—41no—
1603C2×Q8—41no—
1604C2×Q8—41no—
1605C2×Q8—42no—
1606C2×Q8—42no—
1607C2×Q8—42no—
1608C2×Q8—42no—
1609C2×Q8—42no—
1610C2×Q8—41no—
1611C2×Q8—42no—
1612C2×Q8—42no—
1613C2×Q8—42no—
1614C2×Q8—42no—
1615C2×Q8—41no—
1616C2×Q8—42no—
1617C2×Q8—88no—
1618C2×Q8—88no—
1619C2×Q8C2×#4114yes—
1620C2×D4—22no—
1621C2×D4—24no—
1622C2×D4—22no—
1623C2×D4—24no—
1624C2×D4—24no—
1625C2×D4—24no—
1626C2×D4—24no—
1627C2×D4—22no—
1628C2×D4—22no—
1629C2×D4—42no—
1630C2×D4—41no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—41no—
1634C2×D4—41no—
1635C2×D4—41no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—41no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C22×C4—22no—
1648C22×C4—22no—
1649C22×C4—22no—
1650C22×C4—24no—
1651C22×C4—24no—
1652C22×C4—24no—
1653C22×C4—24no—
1654C22×C4—22no—
1655C22×C4—22no—
1656C22×C4—41no—
1657C22×C4—41no—
1658C22×C4—41no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—41no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—41no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—41no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4C2×#4114yes—
1694C22×C42−1+414yes—
1695C22×C4C2511yescharacteristic
1696C22×C4C2511yescharacteristic
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2511yescharacteristic
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2511yescharacteristic
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2511yescharacteristic
1710C22×C4C2511yescharacteristic
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2511yescharacteristic
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2511yescharacteristic
1725C22×C4C2511yescharacteristic
1726C22×C4C2511yescharacteristic
1727C22×C4C2511yescharacteristic
1728C22×C4C2511yescharacteristic
1729C22×C4C2511yescharacteristic
1730C4⋊C4—22no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—22no—
1746C4⋊C4—22no—
1747C4⋊C4—24no—
1748C4⋊C4—22no—
1749C4⋊C4—22no—
1750C4⋊C4—24no—
1751C4⋊C4—22no—
1752C4⋊C4—24no—
1753C4⋊C4—22no—
1754C4⋊C4—22no—
1755C4⋊C4—24no—
1756C4⋊C4—41no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—41no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—41no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4C2×#4118yes—
1821C4⋊C4C2×#4114yes—
1822C22⋊C4—22no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—22no—
1829C22⋊C4—22no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—22no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—22no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—41no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4C2×#4118yes—
1890C42—22no—
1891C42—24no—
1892C42—24no—
1893C42—24no—
1894C42—24no—
1895C42—24no—
1896C42—24no—
1897C42—22no—
1898C42—24no—
1899C42—22no—
1900C42—41no—
1901C42—41no—
1902C42—41no—
1903C42—41no—
1904C42—41no—
1905C42—41no—
1906C42—41no—
1907C42—42no—
1908C42—41no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—41no—
1916C42—42no—
1917C42—42no—
1918C42—41no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C23—21no—
1932C23—21no—
1933C23—21no—
1934C23—21no—
1935C23—21no—
1936C23—21no—
1937C23—21no—
1938C23—21no—
1939C23—21no—
1940C23—21no—
1941C23—21no—
1942C23—21no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23C22×#4112yes—
1958C23C2×2−1+412yes—
1959C23C2611yescharacteristic
1960Q8—44no—
1961Q8—44no—
1962Q8—44no—
1963Q8—84no—
1964Q8—84no—
1965Q8—84no—
1966Q8—84no—
1967Q8—82no—
1968Q8—84no—
1969D4—48no—
1970D4—44no—
1971D4—44no—
1972D4—48no—
1973D4—82no—
1974D4—84no—
1975D4—84no—
1976D4—162no—
1977D4—162no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—22no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—21no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—21no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—21no—
2014C2×C4—21no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—21no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—21no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—21no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—21no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—44no—
2076C2×C4—44no—
2077C2×C4—44no—
2078C2×C4—44no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—82no—
2082C2×C4—82no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—162no—
2087C2×C4—162no—
2088C2×C4—162no—
2089C2×C4—162no—
2090C2×C4—162no—
2091C2×C4C22×#4114yes—
2092C2×C4C22×#4114yes—
2093C2×C4C22×#4112yes—
2094C2×C4C22×#4112yes—
2095C2×C4C2×2−1+412yes—
2096C2×C4C2×2−1+412yes—
2097C2×C4#58512yes—
2098C2×C4#58512yes—
2099C22—22no—
2100C22—22no—
2101C22—22no—
2102C22—22no—
2103C22—22no—
2104C22—22no—
2105C22—41no—
2106C22—41no—
2107C22—41no—
2108C22—41no—
2109C22—41no—
2110C22—41no—
2111C22—41no—
2112C22—41no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22C23×#4111yescharacteristic
2128C22C22×2−1+411yescharacteristic
2129C22C2×#58511yescharacteristic
2130C22C2×#58511yescharacteristic
2131C22H(7,𝔽2)11yescharacteristic
2132C22H(7,𝔽2)11yescharacteristic
2133C222−1+611yescharacteristic
2134C4—24no—
2135C4—22no—
2136C4—22no—
2137C4—24no—
2138C4—22no—
2139C4—22no—
2140C4—22no—
2141C4—22no—
2142C4—41no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—41no—
2148C4—42no—
2149C4—41no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—41no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—41no—
2159C4—42no—
2160C4—41no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—41no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C2—42no—
2170C2—42no—
2171C2—82no—
2172C2—82no—
2173C2#6280511yescharacteristic
2174C2#6284611yescharacteristic
2175C2#6286511yescharacteristic
2176C2#6290611yescharacteristic
2177C2#6292611yescharacteristic
2178C2#6300711yescharacteristic
2179C2#6306911yescharacteristic
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. #59731C2semidirect
3. #52281C2semidirect
4. #51187C2semidirect
5. #51129C2semidirect
6. #50000C2semidirect
7. #49742C2semidirect
8. #48758C2semidirect
9. #47941C2semidirect
10. #47386C2semidirect
11. #47318C2semidirect
12. #45959C2semidirect
13. #45787C2semidirect
14. #44469C2semidirect
15. #44177C2semidirect
16. #44155C2semidirect
17. #43450C2semidirect
18. #43333C2semidirect
19. #42828C2semidirect
20. #42406C2semidirect
21. #42098C2semidirect
22. #41040C2semidirect
23. #40308C2semidirect
24. #39640C2semidirect
25. #39582C2semidirect
26. #39312C2semidirect
27. #38811C2semidirect
28. #38626C2semidirect
29. #38493C2semidirect
30. #38486C2semidirect
31. #38446C2semidirect
32. #37324C2semidirect
33. #37207C2semidirect
34. #36277C2semidirect
35. #35799C2semidirect
36. #35602C2semidirect
37. #35037C2semidirect
38. #34528C2semidirect
39. #34327C2semidirect

Maximal subgroups

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

subgroupindex
#598862
#597312
#522812
#511872
#511292
#500002
#497422
#487582
#479412
#473862
#473182
#459592
#457872
#444692
#441772
#441552
#434502
#433332
#428282
#424062
#420982
#410402
#403082
#396402
#395822
#393122
#388112
#386262
#384932
#384862
#384462
#373242
#372072
#362772
#357992
#356022
#350372
#345282
#343272