Finite Group Databasebeta

← #7710064

Subgroups — #7710064

Order 512.

4820 conjugacy classes of subgroups.

The subgroup lattice has 2290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59779C212yesmaximal, complemented
2#59731C212yesmaximal, complemented
3#59729C212yesmaximal, complemented
4#59598C212yesmaximal, complemented
5#46162C211yesmaximal, characteristic, complemented
6#46155C211yesmaximal, characteristic, complemented
7#46142C211yesmaximal, characteristic, complemented
8#46134C211yesmaximal, characteristic, complemented
9#46017C211yesmaximal, characteristic, complemented
10#46000C211yesmaximal, characteristic, complemented
11#45986C211yesmaximal, characteristic, complemented
12#45974C211yesmaximal, characteristic, complemented
13#40286C212yesmaximal, complemented
14#40285C212yesmaximal, complemented
15#40276C212yesmaximal, complemented
16#40245C212yesmaximal, complemented
17#39832C212yesmaximal, complemented
18#39449C212yesmaximal, complemented
19#38819C212yesmaximal, complemented
20#38778C212yesmaximal, complemented
21#38625C212yesmaximal, complemented
22#38593C212yesmaximal, complemented
23#37823C212yesmaximal, complemented
24#37822C212yesmaximal, complemented
25#37604C211yesmaximal, characteristic, complemented
26#37599C211yesmaximal, characteristic, complemented
27#37112C212yesmaximal, complemented
28#37093C212yesmaximal, complemented
29#36639C211yesmaximal, characteristic, complemented
30#36638C211yesmaximal, characteristic, complemented
31#36494C212yesmaximal, complemented
32#36364C212yesmaximal, complemented
33#36356C212yesmaximal, complemented
34#36327C212yesmaximal, complemented
35#35169C212yesmaximal, complemented
36#35041C212yesmaximal, complemented
37#34528C211yesmaximal, characteristic, complemented
38#34527C211yesmaximal, characteristic, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#563C2211yescharacteristic
41C2×#562C2211yescharacteristic
42C2×#542C2212yes—
43C2×#540C2212yes—
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47#2866C2212yes—
48#2866C2212yes—
49#2865C2212yes—
50#2865C2212yes—
51#2864C2211yescharacteristic
52#2863C2211yescharacteristic
53#2862C2211yescharacteristic
54#2862C2211yescharacteristic
55#2861C2212yes—
56#2861C2211yescharacteristic
57#2861C2212yes—
58#2860C2211yescharacteristic
59#2858C2211yescharacteristic
60#2858C2211yescharacteristic
61#2855C2211yescharacteristic
62#2854C2211yescharacteristic
63#2854C2212yes—
64#2853C2212yes—
65#2852C2212yes—
66#2851C2211yescharacteristic
67#2850C2212yes—
68#2850C2212yes—
69#2850C2211yescharacteristic
70#2850C2211yescharacteristic
71#2850C2211yescharacteristic
72#2850C2211yescharacteristic
73#2850C2211yescharacteristic
74#2850C2212yes—
75#2845C2211yescharacteristic
76#2844C2211yescharacteristic
77#2820C2211yescharacteristic
78#2820C2211yescharacteristic
79#2819C2211yescharacteristic
80#2819C2211yescharacteristic
81#2819C2211yescharacteristic
82#2819C2211yescharacteristic
83#2806C2212yes—
84#2803C2212yes—
85#2800C2212yes—
86#2800C2212yes—
87#2787C2212yes—
88#2786C2212yes—
89#2778C2212yes—
90#2777C2212yes—
91#2774C2212yes—
92#2770C2212yes—
93#2762C2212yes—
94#2759C2212yes—
95#2759C2212yes—
96#2759C2212yes—
97#2759C2212yes—
98#2759C2212yes—
99#2756C2212yes—
100#2755C2212yes—
101#2753C2212yes—
102#2753C2212yes—
103#2751C2212yes—
104#2750C2212yes—
105#2749C2212yes—
106#2740C2212yes—
107#2737C2212yes—
108#2734C2212yes—
109#2731C2212yes—
110#2730C2212yes—
111#2727C2212yes—
112#2723C2212yes—
113#2723C2212yes—
114#2716C2212yes—
115#2715C2212yes—
116#2714C2212yes—
117#2714C2212yes—
118#2714C2212yes—
119#2714C2212yes—
120#2713C2212yes—
121#2713C2212yes—
122#2710C2212yes—
123#2705C2212yes—
124#2705C2212yes—
125#2702C2212yes—
126#2701C2212yes—
127#2701C2212yes—
128#2700C2212yes—
129#2698C2212yes—
130#2696C2212yes—
131#2695C2212yes—
132#2692C2212yes—
133#2689C2212yes—
134#2688C2212yes—
135#2686C2212yes—
136#2682C2212yes—
137#2681C2212yes—
138#2681C2212yes—
139#2677C2212yes—
140#2676C2212yes—
141#2674C2212yes—
142#2674C2212yes—
143#2673C2212yes—
144#2673C2212yes—
145#2673C2212yes—
146#2673C2212yes—
147#2665C2212yes—
148#2663C2212yes—
149#2663C2212yes—
150#2662C2212yes—
151#2661C2212yes—
152#2661C2212yes—
153#2661C2212yes—
154#2661C2212yes—
155#2653C2212yes—
156#2653C2212yes—
157#2653C2212yes—
158#2650C2212yes—
159#2649C2212yes—
160#2648C2212yes—
161#2638C2212yes—
162#2635C2212yes—
163#2612C2212yes—
164#2610C2212yes—
165#2607C2212yes—
166#2603C2212yes—
167#2602C2212yes—
168#2602C2212yes—
169#2602C2212yes—
170#2600C2212yes—
171#2597C2212yes—
172#2597C2212yes—
173#2595C2212yes—
174#2589C2212yes—
175#2588C2212yes—
176#2587C2212yes—
177#2586C2212yes—
178#2586C2212yes—
179#2578C2212yes—
180#2576C2212yes—
181#2576C2212yes—
182#2576C2212yes—
183#2576C2212yes—
184#2574C2212yes—
185#2560C2212yes—
186#2559C2212yes—
187#2559C2212yes—
188#2559C2212yes—
189#2558C2212yes—
190#2557C2212yes—
191#2557C2212yes—
192#2557C2212yes—
193#2557C2212yes—
194#2557C2212yes—
195#2557C2212yes—
196#2557C2212yes—
197#2556C2212yes—
198#2555C2212yes—
199#2555C2212yes—
200#2555C2212yes—
201#2555C2212yes—
202#2555C2212yes—
203#2554C2212yes—
204#2554C2212yes—
205#2553C2212yes—
206#2553C2212yes—
207#2550C2212yes—
208#2544C2212yes—
209#2544C2212yes—
210#2543C2212yes—
211#2540C2212yes—
212#2535C2212yes—
213#2531C2212yes—
214#2531C2212yes—
215#2531C2212yes—
216#2529C2212yes—
217#2529C2212yes—
218#2528C2212yes—
219#2528C2212yes—
220#2527C2212yes—
221#2527C2212yes—
222#2526C2212yes—
223#2525C2212yes—
224#2521C2212yes—
225#2521C2212yes—
226#2520C2212yes—
227#2520C2212yes—
228#2519C2212yes—
229#2518C2212yes—
230#2517C2212yes—
231#2517C2212yes—
232#2516C2212yes—
233#2516C2212yes—
234#2513C2212yes—
235#2508C2212yes—
236#2494C2212yes—
237#2491C2212yes—
238#2491C2212yes—
239#2491C2212yes—
240#2489C2212yes—
241#2488C2212yes—
242#2478C2212yes—
243#2477C2212yes—
244#2477C2212yes—
245#2477C2212yes—
246#2476C2212yes—
247#2476C2212yes—
248#2476C2212yes—
249#2475C2212yes—
250#2474C2212yes—
251#2474C2212yes—
252#2474C2212yes—
253#2474C2212yes—
254#2474C2212yes—
255#2474C2212yes—
256#2471C2212yes—
257#2471C2212yes—
258#2470C2212yes—
259#2469C2212yes—
260#2469C2212yes—
261#2467C2212yes—
262#2467C2212yes—
263#2465C2212yes—
264#2465C2212yes—
265#2465C2212yes—
266#2465C2212yes—
267#2464C2212yes—
268#2464C2212yes—
269#2464C2212yes—
270#2463C2212yes—
271#2462C2212yes—
272#2461C2212yes—
273#2461C2212yes—
274#2461C2212yes—
275#2461C2212yes—
276#2460C2212yes—
277#2459C2212yes—
278#2459C2212yes—
279#2459C2212yes—
280#2458C2212yes—
281#2458C2212yes—
282#2458C2212yes—
283#2458C2212yes—
284#2458C2212yes—
285#2458C2212yes—
286#2457C2212yes—
287#2457C2212yes—
288#2456C2212yes—
289#2456C2212yes—
290#2456C2212yes—
291#2448C2212yes—
292#2446C2212yes—
293#2444C2212yes—
294#2443C2212yes—
295#2439C2212yes—
296#2431C2212yes—
297#2430C2212yes—
298#2428C2212yes—
299#2427C2212yes—
300#2414C2212yes—
301#2407C2212yes—
302#2406C2212yes—
303#2382C2211yescharacteristic
304#2382C2211yescharacteristic
305#2382C2211yescharacteristic
306#2379C2211yescharacteristic
307#2379C2211yescharacteristic
308#2379C2211yescharacteristic
309#2374C2212yes—
310#2374C2212yes—
311#2374C2212yes—
312#2373C2212yes—
313#2373C2212yes—
314#2373C2212yes—
315#2372C2212yes—
316#2372C2212yes—
317#2372C2212yes—
318#2368C2212yes—
319#2368C2212yes—
320#2365C2212yes—
321#2364C2212yes—
322#2364C2212yes—
323#2363C2212yes—
324#2363C2212yes—
325#2363C2212yes—
326#2362C2212yes—
327#2362C2212yes—
328#2361C2212yes—
329#2360C2212yes—
330#2359C2212yes—
331#2359C2212yes—
332#2359C2212yes—
333#2357C2212yes—
334#2352C2212yes—
335#2345C2212yes—
336#2343C2212yes—
337#2335C2212yes—
338#2335C2212yes—
339#2334C2212yes—
340#2334C2212yes—
341#2333C2212yes—
342#2333C2212yes—
343#2332C2212yes—
344#2332C2212yes—
345#2331C2212yes—
346#2329C2212yes—
347#2329C2212yes—
348#2324C2212yes—
349#2323C2212yes—
350#2322C2212yes—
351C4×#125C2211yescharacteristic
352C4×#125C2211yescharacteristic
353C4×#125C2211yescharacteristic
354C4×#126C2212yes—
355C4×#126C2212yes—
356C4×#126C2212yes—
357C4×#124C2211yescharacteristic
358C4×#124C2212yes—
359C4×#124C2211yescharacteristic
360C4×#124C2212yes—
361C4×#124C2211yescharacteristic
362C4×#124C2212yes—
363C4×#124C2211yescharacteristic
364C4×#124C2211yescharacteristic
365C4×#124C2211yescharacteristic
366C4×#124C2211yescharacteristic
367C4×C22⋊Q8C2211yescharacteristic
368C4×C22⋊Q8C2211yescharacteristic
369C4×C22⋊Q8C2211yescharacteristic
370C4×#123C2212yes—
371C4×#123C2212yes—
372C4×#123C2212yes—
373C4×#123C2212yes—
374C4×#121C2211yescharacteristic
375C4×#121C2211yescharacteristic
376C4×#121C2211yescharacteristic
377#2298C2212yes—
378#2298C2212yes—
379#2297C2212yes—
380#2297C2212yes—
381#2295C2211yescharacteristic
382#2295C2211yescharacteristic
383#2293C2212yes—
384#2293C2211yescharacteristic
385#2293C2211yescharacteristic
386#2290C2212yes—
387#2290C2212yes—
388#2290C2212yes—
389#2283C2211yescharacteristic
390C42×Q8C2211yescharacteristic
391C42×D4C2212yes—
392C42×D4C2211yescharacteristic
393C4×#117C2212yes—
394C2×C43C2211yescharacteristic
395C22×#41C2312yes—
396#563—28no—
397#562—28no—
398#542—48no—
399#540—48no—
400#533—44no—
401#532—44no—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2312yes—
407C2×#127C2311yescharacteristic
408C2×#127C2312yes—
409#529—28no—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#125C2311yescharacteristic
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2311yescharacteristic
421C2×#124C2311yescharacteristic
422C2×#124C2311yescharacteristic
423C2×#124C2311yescharacteristic
424C2×#124C2311yescharacteristic
425C2×#124C2311yescharacteristic
426C2×#124C2312yes—
427C2×#124C2311yescharacteristic
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2312yes—
431C2×#124C2312yes—
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2311yescharacteristic
456C2×C22⋊Q8C2311yescharacteristic
457C2×C22⋊Q8C2311yescharacteristic
458C2×C22⋊Q8C2311yescharacteristic
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2311yescharacteristic
466C2×#121C2311yescharacteristic
467C2×#121C2311yescharacteristic
468C2×#121C2311yescharacteristic
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2312yes—
485C2×C4×Q8C2311yescharacteristic
486C2×C4×Q8C2311yescharacteristic
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×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519#401C2312yes—
520#401C2312yes—
521#401C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
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#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#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
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#395C2312yes—
606#395C2312yes—
607#395C2312yes—
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#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#393C2312yes—
645#393C2312yes—
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#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#392C2312yes—
675#392C2312yes—
676#392C2312yes—
677#392C2312yes—
678#392C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2311yescharacteristic
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2311yescharacteristic
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2311yescharacteristic
699#391C2311yescharacteristic
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2311yescharacteristic
709#391C2311yescharacteristic
710#390C2312yes—
711#390C2311yescharacteristic
712#390C2312yes—
713#390C2312yes—
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2311yescharacteristic
720#390C2311yescharacteristic
721#390C2312yes—
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2311yescharacteristic
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2311yescharacteristic
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2311yescharacteristic
741#390C2312yes—
742#390C2312yes—
743#390C2311yescharacteristic
744#389C2311yescharacteristic
745#389C2311yescharacteristic
746#389C2311yescharacteristic
747#389C2311yescharacteristic
748#389C2311yescharacteristic
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
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#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#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#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#382C2311yescharacteristic
1027#382C2311yescharacteristic
1028#382C2311yescharacteristic
1029#382C2311yescharacteristic
1030#382C2311yescharacteristic
1031#382C2311yescharacteristic
1032#382C2312yes—
1033#382C2311yescharacteristic
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2311yescharacteristic
1040#382C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2311yescharacteristic
1058#380C2311yescharacteristic
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⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊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⋊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—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136#376C2312yes—
1137#376C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C43C2312yes—
1148C43C2311yescharacteristic
1149C2×#41—44no—
1150C2×#41—44no—
1151C2×#41—44no—
1152C22×Q8C2411yescharacteristic
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C23×C4C2411yescharacteristic
1181C23×C4C2412yes—
1182C23×C4C2411yescharacteristic
1183C23×C4C2411yescharacteristic
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2411yescharacteristic
1193C23×C4C2411yescharacteristic
1194C23×C4C2411yescharacteristic
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2411yescharacteristic
1199C4⋊Q8—28no—
1200C4⋊Q8—42no—
1201C4⋊Q8—42no—
1202C4⋊Q8—42no—
1203C4⋊Q8—44no—
1204#127—42no—
1205#127—44no—
1206#126—28no—
1207#126—28no—
1208#126—28no—
1209#126—44no—
1210#126—44no—
1211#126—44no—
1212#126—44no—
1213#125—24no—
1214#125—44no—
1215#125—44no—
1216#125#4118yescomplemented
1217#124—24no—
1218#124—24no—
1219#124—24no—
1220#124—24no—
1221#124—44no—
1222#124—44no—
1223#124—42no—
1224#124—44no—
1225#124—42no—
1226#124—44no—
1227#124—44no—
1228#124—44no—
1229#124—44no—
1230#124—44no—
1231#124—44no—
1232#124—44no—
1233#123—28no—
1234#123—28no—
1235#123—28no—
1236#123—28no—
1237#123—28no—
1238#123—44no—
1239#123—44no—
1240#123—44no—
1241#123—44no—
1242#123—44no—
1243#123—44no—
1244#123—44no—
1245#123—44no—
1246C22⋊Q8—28no—
1247C22⋊Q8—24no—
1248C22⋊Q8—28no—
1249C22⋊Q8—28no—
1250C22⋊Q8—28no—
1251C22⋊Q8—28no—
1252C22⋊Q8—42no—
1253C22⋊Q8—42no—
1254C22⋊Q8—44no—
1255C22⋊Q8—44no—
1256C22⋊Q8—42no—
1257C22⋊Q8—44no—
1258#121—28no—
1259#121—24no—
1260#121—28no—
1261#121—28no—
1262#121—44no—
1263#121—44no—
1264#121—44no—
1265#121—42no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—44no—
1272#121—44no—
1273#121—42no—
1274#121—42no—
1275C4×Q8—24no—
1276C4×Q8—42no—
1277C4×Q8—42no—
1278C4×Q8—42no—
1279C4×Q8—42no—
1280C4×Q8—42no—
1281C4×Q8—44no—
1282C4×Q8—44no—
1283C4×D4—28no—
1284C4×D4—24no—
1285C4×D4—28no—
1286C4×D4—42no—
1287C4×D4—42no—
1288C4×D4—42no—
1289C4×D4—44no—
1290C4×D4—42no—
1291C4×D4—42no—
1292C4×D4—44no—
1293C4×D4—44no—
1294C4×D4—44no—
1295C4×D4—44no—
1296C4×D4—44no—
1297C4×D4—44no—
1298C4×D4—44no—
1299#117—28no—
1300#117—44no—
1301#117—44no—
1302#117—44no—
1303#117—44no—
1304#117—44no—
1305#117—44no—
1306C2×C4⋊C4—44no—
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⋊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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2411yescharacteristic
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C42—24no—
1468C2×C42—24no—
1469C2×C42—44no—
1470C2×C42—42no—
1471C2×C42—42no—
1472C2×C42—42no—
1473C2×C42—42no—
1474C2×C42—42no—
1475C2×C42C2412yes—
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2411yescharacteristic
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2411yescharacteristic
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2411yescharacteristic
1488C2×C42C2412yes—
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495C2×C42C2411yescharacteristic
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
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×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2411yescharacteristic
1520C2×C42C2411yescharacteristic
1521C2×C42C2411yescharacteristic
1522C2×C42C2411yescharacteristic
1523C2×C42C2411yescharacteristic
1524C2×C42C2412yes—
1525C2×C42C2412yes—
1526C2×C42C2411yescharacteristic
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—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623C24C2512yes—
1624C24C2512yes—
1625C24C2512yes—
1626C24C2512yes—
1627C24C2511yescharacteristic
1628#41—816no—
1629C2×Q8—22no—
1630C2×Q8—22no—
1631C2×Q8—22no—
1632C2×Q8—24no—
1633C2×Q8—22no—
1634C2×Q8—24no—
1635C2×Q8—24no—
1636C2×Q8—41no—
1637C2×Q8—41no—
1638C2×Q8—42no—
1639C2×Q8—41no—
1640C2×Q8—41no—
1641C2×Q8—41no—
1642C2×Q8—41no—
1643C2×Q8—42no—
1644C2×Q8—41no—
1645C2×Q8—42no—
1646C2×Q8—41no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×D4—24no—
1654C2×D4—24no—
1655C2×D4—24no—
1656C2×D4—24no—
1657C2×D4—24no—
1658C2×D4—22no—
1659C2×D4—24no—
1660C2×D4—24no—
1661C2×D4—22no—
1662C2×D4—22no—
1663C2×D4—22no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—41no—
1667C2×D4—41no—
1668C2×D4—42no—
1669C2×D4—41no—
1670C2×D4—41no—
1671C2×D4—42no—
1672C2×D4—41no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—41no—
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—41no—
1691C2×D4—41no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C22×C4—22no—
1714C22×C4—22no—
1715C22×C4—22no—
1716C22×C4—22no—
1717C22×C4—22no—
1718C22×C4—22no—
1719C22×C4—22no—
1720C22×C4—24no—
1721C22×C4—22no—
1722C22×C4—22no—
1723C22×C4—24no—
1724C22×C4—22no—
1725C22×C4—24no—
1726C22×C4—24no—
1727C22×C4—24no—
1728C22×C4—24no—
1729C22×C4—24no—
1730C22×C4—24no—
1731C22×C4—24no—
1732C22×C4—24no—
1733C22×C4—41no—
1734C22×C4—41no—
1735C22×C4—41no—
1736C22×C4—41no—
1737C22×C4—41no—
1738C22×C4—41no—
1739C22×C4—41no—
1740C22×C4—41no—
1741C22×C4—41no—
1742C22×C4—41no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—42no—
1769C22×C4H(5,𝔽2)14yes—
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2512yes—
1775C22×C4C2512yes—
1776C22×C4C2511yescharacteristic
1777C22×C4C2511yescharacteristic
1778C22×C4C2511yescharacteristic
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2512yes—
1790C22×C4C2512yes—
1791C22×C4C2511yescharacteristic
1792C22×C4C2511yescharacteristic
1793C22×C4C2511yescharacteristic
1794C22×C4C2511yescharacteristic
1795C22×C4C2512yes—
1796C22×C4C2512yes—
1797C22×C4C2511yescharacteristic
1798C22×C4C2511yescharacteristic
1799C22×C4C2511yescharacteristic
1800C22×C4C2511yescharacteristic
1801C22×C4C2511yescharacteristic
1802C22×C4C2511yescharacteristic
1803C22×C4C2511yescharacteristic
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—22no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—22no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—41no—
1838C4⋊C4—41no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—41no—
1845C4⋊C4—41no—
1846C4⋊C4—41no—
1847C4⋊C4—41no—
1848C4⋊C4—41no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—41no—
1853C4⋊C4—41no—
1854C4⋊C4—42no—
1855C4⋊C4—41no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—41no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4C2×#4118yes—
1873C4⋊C4C2×#4118yes—
1874C4⋊C4C2×#4114yes—
1875C4⋊C4C2×#4114yes—
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—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—24no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
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—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C42—22no—
1965C42—22no—
1966C42—22no—
1967C42—24no—
1968C42—24no—
1969C42—22no—
1970C42—22no—
1971C42—22no—
1972C42—22no—
1973C42—24no—
1974C42—22no—
1975C42—22no—
1976C42—22no—
1977C42—24no—
1978C42—22no—
1979C42—22no—
1980C42—22no—
1981C42—22no—
1982C42—22no—
1983C42—22no—
1984C42—22no—
1985C42—24no—
1986C42—24no—
1987C42—41no—
1988C42—41no—
1989C42—41no—
1990C42—42no—
1991C42—42no—
1992C42—41no—
1993C42—41no—
1994C42—41no—
1995C42—41no—
1996C42—41no—
1997C42—41no—
1998C42—41no—
1999C42—42no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—42no—
2012C42—42no—
2013C42—42no—
2014C42—42no—
2015C42C2×#4114yes—
2016C23—21no—
2017C23—21no—
2018C23—21no—
2019C23—21no—
2020C23—21no—
2021C23—21no—
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—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23—22no—
2045C23—22no—
2046C23—22no—
2047C23—22no—
2048C23—22no—
2049C23—22no—
2050C23C2×H(5,𝔽2)12yes—
2051C23C2611yescharacteristic
2052Q8—44no—
2053Q8—82no—
2054Q8—82no—
2055Q8—84no—
2056Q8—82no—
2057Q8—84no—
2058Q8—84no—
2059Q8—162no—
2060D4—48no—
2061D4—44no—
2062D4—82no—
2063D4—82no—
2064D4—84no—
2065D4—84no—
2066D4—82no—
2067D4—84no—
2068D4—84no—
2069D4—84no—
2070D4—84no—
2071D4—84no—
2072D4—84no—
2073D4—84no—
2074D4—84no—
2075D4—162no—
2076D4—162no—
2077D4—162no—
2078D4—162no—
2079D4—162no—
2080C2×C4—28no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—21no—
2084C2×C4—21no—
2085C2×C4—22no—
2086C2×C4—21no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—22no—
2105C2×C4—21no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—21no—
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—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—21no—
2127C2×C4—21no—
2128C2×C4—21no—
2129C2×C4—21no—
2130C2×C4—21no—
2131C2×C4—21no—
2132C2×C4—21no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—21no—
2138C2×C4—21no—
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—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—22no—
2169C2×C4—22no—
2170C2×C4—22no—
2171C2×C4—44no—
2172C2×C4—48no—
2173C2×C4—44no—
2174C2×C4—44no—
2175C2×C4—44no—
2176C2×C4—44no—
2177C2×C4—44no—
2178C2×C4—84no—
2179C2×C4—84no—
2180C2×C4—84no—
2181C2×C4—84no—
2182C2×C4—84no—
2183C2×C4—84no—
2184C2×C4—84no—
2185C2×C4—84no—
2186C2×C4—84no—
2187C2×C4—162no—
2188C2×C4—162no—
2189C2×C4C22×#4112yes—
2190C2×C4C22×#4112yes—
2191C2×C4C22×#4112yes—
2192C2×C4C22×#4114yes—
2193C2×C4C22×#4114yes—
2194C2×C4C2×H(5,𝔽2)12yes—
2195C2×C4C2×H(5,𝔽2)12yes—
2196C2×C4#58512yes—
2197C2×C4#58512yes—
2198C2×C4#58512yes—
2199C2×C4#58512yes—
2200C2×C4#58512yes—
2201C22—22no—
2202C22—22no—
2203C22—22no—
2204C22—41no—
2205C22—41no—
2206C22—41no—
2207C22—41no—
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—
2223C22—42no—
2224C22—42no—
2225C22—42no—
2226C22—42no—
2227C22—42no—
2228C22—42no—
2229C22—42no—
2230C22—42no—
2231C22—42no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—42no—
2236C22C23×#4111yescharacteristic
2237C22C22×H(5,𝔽2)11yescharacteristic
2238C22C2×#58511yescharacteristic
2239C22C2×#58511yescharacteristic
2240C22C2×#58511yescharacteristic
2241C22C2×#58511yescharacteristic
2242C22C2×#58511yescharacteristic
2243C4—22no—
2244C4—22no—
2245C4—22no—
2246C4—22no—
2247C4—24no—
2248C4—22no—
2249C4—24no—
2250C4—22no—
2251C4—22no—
2252C4—22no—
2253C4—22no—
2254C4—22no—
2255C4—41no—
2256C4—41no—
2257C4—42no—
2258C4—42no—
2259C4—42no—
2260C4—42no—
2261C4—42no—
2262C4—41no—
2263C4—42no—
2264C4—41no—
2265C4—42no—
2266C4—42no—
2267C4—42no—
2268C4—42no—
2269C4—42no—
2270C4—42no—
2271C4—42no—
2272C4—42no—
2273C4—42no—
2274C4—42no—
2275C4—42no—
2276C4—42no—
2277C2—42no—
2278C2—82no—
2279C2—82no—
2280C2—82no—
2281C2—82no—
2282C2#6274311yescharacteristic
2283C2#6274311yescharacteristic
2284C2#6279311yescharacteristic
2285C2#6280011yescharacteristic
2286C2#6281011yescharacteristic
2287C2#6282211yescharacteristic
2288C2#6282411yescharacteristic
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. #59779C2semidirect
2. #59731C2semidirect
3. #59729C2semidirect
4. #59598C2semidirect
5. #46162C2semidirect
6. #46155C2semidirect
7. #46142C2semidirect
8. #46134C2semidirect
9. #46017C2semidirect
10. #46000C2semidirect
11. #45986C2semidirect
12. #45974C2semidirect
13. #40286C2semidirect
14. #40285C2semidirect
15. #40276C2semidirect
16. #40245C2semidirect
17. #39832C2semidirect
18. #39449C2semidirect
19. #38819C2semidirect
20. #38778C2semidirect
21. #38625C2semidirect
22. #38593C2semidirect
23. #37823C2semidirect
24. #37822C2semidirect
25. #37604C2semidirect
26. #37599C2semidirect
27. #37112C2semidirect
28. #37093C2semidirect
29. #36639C2semidirect
30. #36638C2semidirect
31. #36494C2semidirect
32. #36364C2semidirect
33. #36356C2semidirect
34. #36327C2semidirect
35. #35169C2semidirect
36. #35041C2semidirect
37. #34528C2semidirect
38. #34527C2semidirect
39. C4×#529C2semidirect
1216. #125#41semidirect

Maximal subgroups

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

subgroupindex
#597792
#597312
#597292
#595982
#461622
#461552
#461422
#461342
#460172
#460002
#459862
#459742
#402862
#402852
#402762
#402452
#398322
#394492
#388192
#387782
#386252
#385932
#378232
#378222
#376042
#375992
#371122
#370932
#366392
#366382
#364942
#363642
#363562
#363272
#351692
#350412
#345282
#345272
C4×#5292