Finite Group Databasebeta

← #7710054

Subgroups — #7710054

Order 512.

4792 conjugacy classes of subgroups.

The subgroup lattice has 2277 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59775C212yesmaximal, complemented
2#59726C212yesmaximal, complemented
3#59617C212yesmaximal, complemented
4#59517C212yesmaximal, complemented
5#46320C212yesmaximal, complemented
6#46300C212yesmaximal, complemented
7#45964C211yesmaximal, characteristic, complemented
8#45962C211yesmaximal, characteristic, complemented
9#45958C211yesmaximal, characteristic, complemented
10#45957C211yesmaximal, characteristic, complemented
11#40275C212yesmaximal, complemented
12#40272C212yesmaximal, complemented
13#39837C211yesmaximal, characteristic, complemented
14#39836C211yesmaximal, characteristic, complemented
15#39828C211yesmaximal, characteristic, complemented
16#39701C211yesmaximal, characteristic, complemented
17#39572C211yesmaximal, characteristic, complemented
18#39455C211yesmaximal, characteristic, complemented
19#39454C211yesmaximal, characteristic, complemented
20#39445C211yesmaximal, characteristic, complemented
21#38833C212yesmaximal, complemented
22#38793C212yesmaximal, complemented
23#37917C212yesmaximal, complemented
24#37735C212yesmaximal, complemented
25#37734C212yesmaximal, complemented
26#37729C212yesmaximal, complemented
27#37583C212yesmaximal, complemented
28#37065C212yesmaximal, complemented
29#37043C212yesmaximal, complemented
30#36638C211yesmaximal, characteristic, complemented
31#36631C211yesmaximal, characteristic, complemented
32#36364C212yesmaximal, complemented
33#36356C212yesmaximal, complemented
34#36327C212yesmaximal, complemented
35#36297C212yesmaximal, complemented
36#35169C212yesmaximal, complemented
37#35040C212yesmaximal, complemented
38#34452C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#542C2212yes—
41C2×#540C2212yes—
42C2×#539C2212yes—
43C2×#529C2211yescharacteristic
44C2×#529C2212yes—
45#2866C2212yes—
46#2866C2212yes—
47#2865C2212yes—
48#2865C2212yes—
49#2864C2211yescharacteristic
50#2863C2211yescharacteristic
51#2861C2212yes—
52#2861C2211yescharacteristic
53#2860C2211yescharacteristic
54#2860C2212yes—
55#2860C2211yescharacteristic
56#2860C2211yescharacteristic
57#2859C2211yescharacteristic
58#2858C2211yescharacteristic
59#2857C2211yescharacteristic
60#2856C2211yescharacteristic
61#2855C2211yescharacteristic
62#2854C2211yescharacteristic
63#2854C2211yescharacteristic
64#2854C2212yes—
65#2854C2211yescharacteristic
66#2854C2212yes—
67#2853C2212yes—
68#2852C2212yes—
69#2851C2211yescharacteristic
70#2850C2212yes—
71#2850C2212yes—
72#2850C2211yescharacteristic
73#2832C2212yes—
74#2831C2212yes—
75#2829C2212yes—
76#2828C2212yes—
77#2808C2211yescharacteristic
78#2808C2211yescharacteristic
79#2805C2211yescharacteristic
80#2805C2212yes—
81#2805C2211yescharacteristic
82#2804C2211yescharacteristic
83#2800C2212yes—
84#2797C2212yes—
85#2795C2212yes—
86#2793C2212yes—
87#2792C2212yes—
88#2788C2212yes—
89#2786C2212yes—
90#2781C2212yes—
91#2777C2212yes—
92#2777C2212yes—
93#2775C2212yes—
94#2775C2212yes—
95#2767C2212yes—
96#2758C2212yes—
97#2757C2212yes—
98#2756C2212yes—
99#2750C2212yes—
100#2749C2212yes—
101#2734C2211yescharacteristic
102#2733C2211yescharacteristic
103#2733C2212yes—
104#2730C2212yes—
105#2727C2211yescharacteristic
106#2727C2211yescharacteristic
107#2727C2212yes—
108#2726C2211yescharacteristic
109#2726C2211yescharacteristic
110#2725C2212yes—
111#2725C2212yes—
112#2723C2212yes—
113#2723C2212yes—
114#2720C2212yes—
115#2718C2212yes—
116#2717C2212yes—
117#2716C2212yes—
118#2715C2212yes—
119#2715C2212yes—
120#2714C2212yes—
121#2714C2212yes—
122#2713C2212yes—
123#2711C2212yes—
124#2708C2212yes—
125#2705C2212yes—
126#2703C2212yes—
127#2700C2212yes—
128#2699C2212yes—
129#2696C2212yes—
130#2691C2212yes—
131#2689C2212yes—
132#2689C2212yes—
133#2686C2212yes—
134#2686C2212yes—
135#2683C2211yescharacteristic
136#2682C2211yescharacteristic
137#2682C2211yescharacteristic
138#2682C2211yescharacteristic
139#2682C2211yescharacteristic
140#2682C2212yes—
141#2680C2212yes—
142#2676C2212yes—
143#2674C2212yes—
144#2673C2212yes—
145#2673C2212yes—
146#2673C2212yes—
147#2673C2212yes—
148#2672C2212yes—
149#2666C2212yes—
150#2663C2212yes—
151#2663C2212yes—
152#2662C2212yes—
153#2662C2212yes—
154#2661C2212yes—
155#2661C2212yes—
156#2661C2212yes—
157#2654C2212yes—
158#2652C2212yes—
159#2649C2212yes—
160#2648C2212yes—
161#2636C2212yes—
162#2631C2212yes—
163#2630C2212yes—
164#2630C2212yes—
165#2612C2212yes—
166#2610C2212yes—
167#2608C2212yes—
168#2604C2212yes—
169#2602C2212yes—
170#2602C2212yes—
171#2602C2212yes—
172#2600C2212yes—
173#2597C2212yes—
174#2597C2212yes—
175#2595C2212yes—
176#2595C2212yes—
177#2595C2212yes—
178#2590C2212yes—
179#2589C2212yes—
180#2587C2212yes—
181#2586C2212yes—
182#2586C2212yes—
183#2578C2212yes—
184#2577C2212yes—
185#2575C2212yes—
186#2574C2212yes—
187#2560C2212yes—
188#2559C2212yes—
189#2559C2212yes—
190#2559C2212yes—
191#2559C2212yes—
192#2558C2212yes—
193#2558C2212yes—
194#2558C2212yes—
195#2557C2212yes—
196#2557C2212yes—
197#2557C2212yes—
198#2557C2212yes—
199#2556C2212yes—
200#2555C2212yes—
201#2555C2212yes—
202#2555C2212yes—
203#2555C2212yes—
204#2555C2212yes—
205#2554C2212yes—
206#2554C2212yes—
207#2553C2212yes—
208#2553C2212yes—
209#2550C2212yes—
210#2545C2212yes—
211#2544C2212yes—
212#2543C2212yes—
213#2540C2212yes—
214#2535C2212yes—
215#2530C2212yes—
216#2530C2212yes—
217#2530C2212yes—
218#2530C2212yes—
219#2529C2212yes—
220#2529C2212yes—
221#2529C2212yes—
222#2526C2212yes—
223#2526C2212yes—
224#2526C2212yes—
225#2525C2212yes—
226#2521C2212yes—
227#2520C2212yes—
228#2520C2212yes—
229#2518C2212yes—
230#2518C2212yes—
231#2516C2212yes—
232#2516C2212yes—
233#2516C2212yes—
234#2513C2212yes—
235#2509C2212yes—
236#2497C2212yes—
237#2491C2212yes—
238#2490C2212yes—
239#2489C2212yes—
240#2477C2212yes—
241#2477C2212yes—
242#2476C2212yes—
243#2476C2212yes—
244#2476C2212yes—
245#2475C2212yes—
246#2475C2212yes—
247#2474C2212yes—
248#2474C2212yes—
249#2474C2212yes—
250#2471C2212yes—
251#2471C2212yes—
252#2471C2212yes—
253#2471C2212yes—
254#2470C2212yes—
255#2470C2212yes—
256#2470C2212yes—
257#2469C2212yes—
258#2469C2212yes—
259#2467C2212yes—
260#2466C2212yes—
261#2465C2212yes—
262#2465C2212yes—
263#2465C2212yes—
264#2464C2212yes—
265#2464C2212yes—
266#2464C2212yes—
267#2462C2212yes—
268#2462C2212yes—
269#2461C2212yes—
270#2461C2212yes—
271#2461C2212yes—
272#2461C2212yes—
273#2461C2212yes—
274#2460C2212yes—
275#2460C2212yes—
276#2460C2212yes—
277#2459C2212yes—
278#2459C2212yes—
279#2459C2212yes—
280#2458C2212yes—
281#2458C2212yes—
282#2458C2212yes—
283#2457C2212yes—
284#2457C2212yes—
285#2457C2212yes—
286#2456C2212yes—
287#2456C2212yes—
288#2456C2212yes—
289#2456C2212yes—
290#2456C2212yes—
291#2451C2212yes—
292#2449C2212yes—
293#2447C2212yes—
294#2445C2212yes—
295#2444C2212yes—
296#2443C2212yes—
297#2441C2212yes—
298#2428C2212yes—
299#2428C2212yes—
300#2427C2212yes—
301#2426C2212yes—
302#2425C2212yes—
303#2425C2212yes—
304#2414C2212yes—
305#2383C2212yes—
306#2378C2212yes—
307#2376C2212yes—
308#2376C2212yes—
309#2374C2212yes—
310#2374C2212yes—
311#2374C2212yes—
312#2374C2212yes—
313#2373C2212yes—
314#2373C2212yes—
315#2372C2212yes—
316#2372C2212yes—
317#2372C2212yes—
318#2370C2212yes—
319#2368C2212yes—
320#2368C2212yes—
321#2364C2212yes—
322#2363C2212yes—
323#2363C2212yes—
324#2363C2212yes—
325#2362C2212yes—
326#2362C2212yes—
327#2361C2212yes—
328#2359C2212yes—
329#2359C2212yes—
330#2359C2212yes—
331#2354C2212yes—
332#2353C2212yes—
333#2352C2212yes—
334#2345C2212yes—
335#2344C2212yes—
336#2343C2212yes—
337#2336C2212yes—
338#2336C2212yes—
339#2335C2212yes—
340#2335C2212yes—
341#2335C2212yes—
342#2335C2212yes—
343#2334C2212yes—
344#2333C2212yes—
345#2330C2212yes—
346#2329C2212yes—
347#2324C2212yes—
348#2323C2212yes—
349#2318C2212yes—
350C4×C4⋊Q8C2211yescharacteristic
351C4×#127C2211yescharacteristic
352C4×#125C2211yescharacteristic
353C4×#125C2211yescharacteristic
354C4×#125C2211yescharacteristic
355C4×#126C2212yes—
356C4×#126C2212yes—
357C4×#126C2212yes—
358C4×#124C2212yes—
359C4×#124C2212yes—
360C4×#124C2211yescharacteristic
361C4×#124C2211yescharacteristic
362C4×#124C2211yescharacteristic
363C4×C22⋊Q8C2211yescharacteristic
364C4×C22⋊Q8C2211yescharacteristic
365C4×C22⋊Q8C2211yescharacteristic
366C4×#123C2212yes—
367C4×#123C2212yes—
368C4×#123C2212yes—
369C4×#123C2212yes—
370C4×#121C2212yes—
371C4×#121C2211yescharacteristic
372C4×#121C2211yescharacteristic
373C4×#121C2211yescharacteristic
374C4×#121C2211yescharacteristic
375C4×#121C2211yescharacteristic
376#2298C2212yes—
377#2298C2212yes—
378#2295C2211yescharacteristic
379#2295C2211yescharacteristic
380#2293C2211yescharacteristic
381#2293C2212yes—
382#2293C2212yes—
383#2293C2211yescharacteristic
384#2293C2211yescharacteristic
385#2293C2211yescharacteristic
386#2290C2212yes—
387#2290C2212yes—
388#2290C2212yes—
389#2283C2211yescharacteristic
390C42×Q8C2211yescharacteristic
391C42×D4C2212yes—
392C42×D4C2211yescharacteristic
393C4×#117C2212yes—
394C2×C43C2211yescharacteristic
395#542—48no—
396#540—48no—
397#539—216no—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2312yes—
400C2×#127C2311yescharacteristic
401C2×#127C2312yes—
402#529—28no—
403#529—48no—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#125C2312yes—
413C2×#125C2311yescharacteristic
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2311yescharacteristic
418C2×#124C2311yescharacteristic
419C2×#124C2312yes—
420C2×#124C2311yescharacteristic
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2311yescharacteristic
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×#121C2312yes—
455C2×#121C2311yescharacteristic
456C2×#121C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2311yescharacteristic
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2311yescharacteristic
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510C22×C42C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
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#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
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#397C2312yes—
553#397C2312yes—
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#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
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#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#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2311yescharacteristic
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2311yescharacteristic
696#390C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2311yescharacteristic
707#390C2312yes—
708#390C2312yes—
709#390C2311yescharacteristic
710#390C2311yescharacteristic
711#390C2311yescharacteristic
712#390C2311yescharacteristic
713#390C2312yes—
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#390C2312yes—
717#390C2312yes—
718#390C2311yescharacteristic
719#390C2312yes—
720#390C2311yescharacteristic
721#390C2311yescharacteristic
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2311yescharacteristic
730#389C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2311yescharacteristic
733#389C2311yescharacteristic
734#389C2311yescharacteristic
735#389C2311yescharacteristic
736#389C2312yes—
737#389C2311yescharacteristic
738#389C2311yescharacteristic
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
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#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#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
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#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
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#386C2312yes—
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#384C2311yescharacteristic
1023#384C2311yescharacteristic
1024#384C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#382C2311yescharacteristic
1030#382C2311yescharacteristic
1031#382C2311yescharacteristic
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2311yescharacteristic
1036#382C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057#380C2311yescharacteristic
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2311yescharacteristic
1090C4×C4⋊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⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131#376C2312yes—
1132#376C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C43C2311yescharacteristic
1139C43C2311yescharacteristic
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2312yes—
1146C43C2311yescharacteristic
1147C22×Q8C2411yescharacteristic
1148C22×Q8C2412yes—
1149C22×Q8C2412yes—
1150C22×Q8C2411yescharacteristic
1151C22×Q8C2412yes—
1152C22×D4C2412yes—
1153C22×D4C2411yescharacteristic
1154C22×D4C2411yescharacteristic
1155C22×D4C2412yes—
1156C22×D4C2412yes—
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2411yescharacteristic
1160C22×D4C2411yescharacteristic
1161C22×D4C2412yes—
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2411yescharacteristic
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C4⋊Q8—42no—
1192C4⋊Q8—44no—
1193#127—42no—
1194#127—44no—
1195#126—28no—
1196#126—28no—
1197#126—28no—
1198#126—44no—
1199#126—44no—
1200#126—44no—
1201#126—44no—
1202#126—44no—
1203#125—28no—
1204#125—42no—
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#125#4118yes—
1209#124—24no—
1210#124—44no—
1211#124—42no—
1212#124—44no—
1213#124—44no—
1214#124—44no—
1215#124—44no—
1216#124—44no—
1217#124—44no—
1218#124—44no—
1219#124—44no—
1220#123—28no—
1221#123—28no—
1222#123—28no—
1223#123—28no—
1224#123—28no—
1225#123—28no—
1226#123—28no—
1227#123—44no—
1228#123—44no—
1229#123—44no—
1230#123—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236C22⋊Q8—24no—
1237C22⋊Q8—24no—
1238C22⋊Q8—28no—
1239C22⋊Q8—28no—
1240C22⋊Q8—28no—
1241C22⋊Q8—44no—
1242C22⋊Q8—44no—
1243C22⋊Q8—44no—
1244C22⋊Q8—44no—
1245#121—24no—
1246#121—24no—
1247#121—28no—
1248#121—44no—
1249#121—44no—
1250#121—44no—
1251#121—42no—
1252#121—42no—
1253#121—44no—
1254#121—44no—
1255#121—44no—
1256#121—44no—
1257#121—44no—
1258#121—44no—
1259#121—44no—
1260#121—44no—
1261#121—44no—
1262#121—44no—
1263C4×Q8—24no—
1264C4×Q8—42no—
1265C4×Q8—42no—
1266C4×Q8—42no—
1267C4×Q8—44no—
1268C4×Q8—44no—
1269C4×D4—28no—
1270C4×D4—24no—
1271C4×D4—28no—
1272C4×D4—28no—
1273C4×D4—28no—
1274C4×D4—42no—
1275C4×D4—42no—
1276C4×D4—42no—
1277C4×D4—42no—
1278C4×D4—44no—
1279C4×D4—44no—
1280C4×D4—44no—
1281C4×D4—42no—
1282C4×D4—44no—
1283C4×D4—44no—
1284C4×D4—44no—
1285C4×D4—44no—
1286C4×D4—44no—
1287C4×D4—44no—
1288#117—28no—
1289#117—44no—
1290#117—44no—
1291#117—44no—
1292#117—44no—
1293#117—44no—
1294#117—44no—
1295#117—44no—
1296C2×C4⋊C4—28no—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2411yescharacteristic
1366C2×C4⋊C4C2411yescharacteristic
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2411yescharacteristic
1375C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊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×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C42—24no—
1465C2×C42—24no—
1466C2×C42—44no—
1467C2×C42—42no—
1468C2×C42—42no—
1469C2×C42—42no—
1470C2×C42—42no—
1471C2×C42—42no—
1472C2×C42C2411yescharacteristic
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2412yes—
1478C2×C42C2412yes—
1479C2×C42C2411yescharacteristic
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2411yescharacteristic
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2411yescharacteristic
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2411yescharacteristic
1520C2×C42C2411yescharacteristic
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2411yescharacteristic
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—
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—
1616C24C2512yes—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2511yescharacteristic
1621C2×Q8—22no—
1622C2×Q8—24no—
1623C2×Q8—22no—
1624C2×Q8—24no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—41no—
1630C2×Q8—41no—
1631C2×Q8—42no—
1632C2×Q8—42no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8—42no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—22no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—22no—
1646C2×D4—22no—
1647C2×D4—22no—
1648C2×D4—24no—
1649C2×D4—41no—
1650C2×D4—41no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—41no—
1655C2×D4—41no—
1656C2×D4—41no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—41no—
1664C2×D4—41no—
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—42no—
1676C2×D4—42no—
1677C2×D4—41no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C22×C4—22no—
1697C22×C4—22no—
1698C22×C4—22no—
1699C22×C4—22no—
1700C22×C4—22no—
1701C22×C4—24no—
1702C22×C4—22no—
1703C22×C4—22no—
1704C22×C4—24no—
1705C22×C4—22no—
1706C22×C4—22no—
1707C22×C4—22no—
1708C22×C4—24no—
1709C22×C4—24no—
1710C22×C4—24no—
1711C22×C4—24no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—24no—
1715C22×C4—24no—
1716C22×C4—41no—
1717C22×C4—41no—
1718C22×C4—41no—
1719C22×C4—41no—
1720C22×C4—41no—
1721C22×C4—41no—
1722C22×C4—41no—
1723C22×C4—41no—
1724C22×C4—41no—
1725C22×C4—41no—
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×C4—42no—
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×C4H(5,𝔽2)14yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2511yescharacteristic
1757C22×C4C2511yescharacteristic
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2512yes—
1775C22×C4C2511yescharacteristic
1776C22×C4C2511yescharacteristic
1777C22×C4C2511yescharacteristic
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2511yescharacteristic
1781C22×C4C2511yescharacteristic
1782C22×C4C2511yescharacteristic
1783C22×C4C2511yescharacteristic
1784C22×C4C2511yescharacteristic
1785C22×C4C2511yescharacteristic
1786C22×C4C2511yescharacteristic
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—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—22no—
1804C4⋊C4—22no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—22no—
1813C4⋊C4—22no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—41no—
1822C4⋊C4—41no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—41no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—41no—
1833C4⋊C4—41no—
1834C4⋊C4—41no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—41no—
1841C4⋊C4—41no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—41no—
1854C4⋊C4—41no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4C2×#4118yes—
1863C4⋊C4C2×#4118yes—
1864C4⋊C4C2×#4114yes—
1865C4⋊C4C2×#4114yes—
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—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
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⋊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—
1954C42—22no—
1955C42—22no—
1956C42—22no—
1957C42—24no—
1958C42—24no—
1959C42—22no—
1960C42—22no—
1961C42—22no—
1962C42—22no—
1963C42—24no—
1964C42—22no—
1965C42—22no—
1966C42—22no—
1967C42—24no—
1968C42—22no—
1969C42—22no—
1970C42—22no—
1971C42—22no—
1972C42—22no—
1973C42—22no—
1974C42—22no—
1975C42—24no—
1976C42—24no—
1977C42—41no—
1978C42—41no—
1979C42—41no—
1980C42—42no—
1981C42—42no—
1982C42—41no—
1983C42—41no—
1984C42—41no—
1985C42—41no—
1986C42—41no—
1987C42—41no—
1988C42—41no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—42no—
1994C42—42no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—42no—
1999C42—42no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42C2×#4114yes—
2006C23—21no—
2007C23—21no—
2008C23—21no—
2009C23—21no—
2010C23—21no—
2011C23—21no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—22no—
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—
2040C23C2×H(5,𝔽2)12yes—
2041C23C2611yescharacteristic
2042Q8—44no—
2043Q8—84no—
2044Q8—82no—
2045Q8—84no—
2046Q8—162no—
2047D4—48no—
2048D4—44no—
2049D4—82no—
2050D4—82no—
2051D4—84no—
2052D4—84no—
2053D4—84no—
2054D4—82no—
2055D4—84no—
2056D4—84no—
2057D4—84no—
2058D4—84no—
2059D4—84no—
2060D4—84no—
2061D4—84no—
2062D4—162no—
2063D4—162no—
2064D4—162no—
2065D4—162no—
2066D4—162no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—21no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—21no—
2087C2×C4—22no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—22no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—21no—
2114C2×C4—21no—
2115C2×C4—21no—
2116C2×C4—21no—
2117C2×C4—21no—
2118C2×C4—21no—
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—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
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—44no—
2158C2×C4—44no—
2159C2×C4—48no—
2160C2×C4—44no—
2161C2×C4—44no—
2162C2×C4—44no—
2163C2×C4—44no—
2164C2×C4—44no—
2165C2×C4—84no—
2166C2×C4—84no—
2167C2×C4—84no—
2168C2×C4—84no—
2169C2×C4—84no—
2170C2×C4—84no—
2171C2×C4—84no—
2172C2×C4—84no—
2173C2×C4—84no—
2174C2×C4—162no—
2175C2×C4—162no—
2176C2×C4C22×#4112yes—
2177C2×C4C22×#4112yes—
2178C2×C4C22×#4112yes—
2179C2×C4C22×#4114yes—
2180C2×C4C22×#4114yes—
2181C2×C4C2×H(5,𝔽2)12yes—
2182C2×C4C2×H(5,𝔽2)12yes—
2183C2×C4#58512yes—
2184C2×C4#58512yes—
2185C2×C4#58512yes—
2186C2×C4#58512yes—
2187C2×C4#58512yes—
2188C22—22no—
2189C22—22no—
2190C22—22no—
2191C22—41no—
2192C22—41no—
2193C22—41no—
2194C22—41no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—42no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22—42no—
2203C22—42no—
2204C22—42no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22—42no—
2209C22—42no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22C23×#4111yescharacteristic
2224C22C22×H(5,𝔽2)11yescharacteristic
2225C22C2×#58511yescharacteristic
2226C22C2×#58511yescharacteristic
2227C22C2×#58511yescharacteristic
2228C22C2×#58511yescharacteristic
2229C22C2×#58511yescharacteristic
2230C4—22no—
2231C4—22no—
2232C4—22no—
2233C4—22no—
2234C4—22no—
2235C4—24no—
2236C4—22no—
2237C4—24no—
2238C4—22no—
2239C4—22no—
2240C4—22no—
2241C4—22no—
2242C4—41no—
2243C4—42no—
2244C4—42no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—41no—
2249C4—42no—
2250C4—41no—
2251C4—42no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—42no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—41no—
2260C4—42no—
2261C4—42no—
2262C4—42no—
2263C4—42no—
2264C2—42no—
2265C2—82no—
2266C2—82no—
2267C2—82no—
2268C2—82no—
2269C2#6274311yescharacteristic
2270C2#6275511yescharacteristic
2271C2#6279311yescharacteristic
2272C2#6280011yescharacteristic
2273C2#6281611yescharacteristic
2274C2#6282211yescharacteristic
2275C2#6283011yescharacteristic
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. #59775C2semidirect
2. #59726C2semidirect
3. #59617C2semidirect
4. #59517C2semidirect
5. #46320C2semidirect
6. #46300C2semidirect
7. #45964C2semidirect
8. #45962C2semidirect
9. #45958C2semidirect
10. #45957C2semidirect
11. #40275C2semidirect
12. #40272C2semidirect
13. #39837C2semidirect
14. #39836C2semidirect
15. #39828C2semidirect
16. #39701C2semidirect
17. #39572C2semidirect
18. #39455C2semidirect
19. #39454C2semidirect
20. #39445C2semidirect
21. #38833C2semidirect
22. #38793C2semidirect
23. #37917C2semidirect
24. #37735C2semidirect
25. #37734C2semidirect
26. #37729C2semidirect
27. #37583C2semidirect
28. #37065C2semidirect
29. #37043C2semidirect
30. #36638C2semidirect
31. #36631C2semidirect
32. #36364C2semidirect
33. #36356C2semidirect
34. #36327C2semidirect
35. #36297C2semidirect
36. #35169C2semidirect
37. #35040C2semidirect
38. #34452C2semidirect
39. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#597752
#597262
#596172
#595172
#463202
#463002
#459642
#459622
#459582
#459572
#402752
#402722
#398372
#398362
#398282
#397012
#395722
#394552
#394542
#394452
#388332
#387932
#379172
#377352
#377342
#377292
#375832
#370652
#370432
#366382
#366312
#363642
#363562
#363272
#362972
#351692
#350402
#344522
C4×#5292