Finite Group Databasebeta

← #7710756

Subgroups — #7710756

Order 512.

4714 conjugacy classes of subgroups.

The subgroup lattice has 2236 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59932C212yesmaximal, complemented
2#59887C212yesmaximal, complemented
3#59178C212yesmaximal, complemented
4#59171C212yesmaximal, complemented
5#46231C211yesmaximal, characteristic, complemented
6#46230C211yesmaximal, characteristic, complemented
7#46227C211yesmaximal, characteristic, complemented
8#46226C211yesmaximal, characteristic, complemented
9#46025C211yesmaximal, characteristic, complemented
10#46018C211yesmaximal, characteristic, complemented
11#46009C211yesmaximal, characteristic, complemented
12#46000C211yesmaximal, characteristic, complemented
13#40453C212yesmaximal, complemented
14#40452C212yesmaximal, complemented
15#40399C212yesmaximal, complemented
16#40366C212yesmaximal, complemented
17#40016C212yesmaximal, complemented
18#39945C212yesmaximal, complemented
19#38884C212yesmaximal, complemented
20#38854C212yesmaximal, complemented
21#38817C212yesmaximal, complemented
22#38757C212yesmaximal, complemented
23#38490C212yesmaximal, complemented
24#38450C212yesmaximal, complemented
25#37600C211yesmaximal, characteristic, complemented
26#37599C211yesmaximal, characteristic, complemented
27#36912C212yesmaximal, complemented
28#36911C212yesmaximal, complemented
29#36638C211yesmaximal, characteristic, complemented
30#36631C211yesmaximal, characteristic, complemented
31#36501C212yesmaximal, complemented
32#36398C212yesmaximal, complemented
33#36365C212yesmaximal, complemented
34#36268C212yesmaximal, complemented
35#35194C212yesmaximal, complemented
36#35134C212yesmaximal, complemented
37#34528C211yesmaximal, characteristic, complemented
38#34527C211yesmaximal, characteristic, complemented
39C4×#533C211yesmaximal, characteristic, complemented
40C2×#563C2211yescharacteristic
41C2×#562C2211yescharacteristic
42C2×#556C2212yes—
43C2×#552C2212yes—
44C2×#533C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×#529C2211yescharacteristic
47#2866C2212yes—
48#2866C2212yes—
49#2865C2212yes—
50#2865C2212yes—
51#2864C2211yescharacteristic
52#2863C2211yescharacteristic
53#2861C2211yescharacteristic
54#2861C2211yescharacteristic
55#2861C2211yescharacteristic
56#2861C2212yes—
57#2860C2212yes—
58#2860C2212yes—
59#2860C2212yes—
60#2860C2211yescharacteristic
61#2859C2211yescharacteristic
62#2858C2211yescharacteristic
63#2857C2211yescharacteristic
64#2856C2211yescharacteristic
65#2855C2211yescharacteristic
66#2854C2211yescharacteristic
67#2854C2212yes—
68#2854C2212yes—
69#2853C2212yes—
70#2852C2212yes—
71#2851C2211yescharacteristic
72#2850C2211yescharacteristic
73#2850C2211yescharacteristic
74#2850C2211yescharacteristic
75#2845C2211yescharacteristic
76#2844C2211yescharacteristic
77#2822C2211yescharacteristic
78#2820C2211yescharacteristic
79#2820C2211yescharacteristic
80#2820C2211yescharacteristic
81#2820C2211yescharacteristic
82#2819C2211yescharacteristic
83#2807C2212yes—
84#2803C2212yes—
85#2802C2212yes—
86#2802C2212yes—
87#2802C2212yes—
88#2800C2212yes—
89#2796C2212yes—
90#2796C2212yes—
91#2793C2212yes—
92#2793C2212yes—
93#2792C2212yes—
94#2792C2212yes—
95#2792C2212yes—
96#2791C2212yes—
97#2790C2212yes—
98#2783C2212yes—
99#2783C2212yes—
100#2780C2212yes—
101#2780C2212yes—
102#2755C2212yes—
103#2744C2212yes—
104#2741C2212yes—
105#2739C2212yes—
106#2720C2212yes—
107#2718C2212yes—
108#2718C2212yes—
109#2717C2212yes—
110#2716C2212yes—
111#2714C2212yes—
112#2713C2212yes—
113#2713C2212yes—
114#2710C2212yes—
115#2709C2212yes—
116#2705C2212yes—
117#2702C2212yes—
118#2702C2212yes—
119#2702C2212yes—
120#2701C2212yes—
121#2694C2212yes—
122#2694C2212yes—
123#2692C2212yes—
124#2692C2212yes—
125#2692C2212yes—
126#2690C2212yes—
127#2689C2212yes—
128#2687C2212yes—
129#2686C2212yes—
130#2683C2212yes—
131#2683C2212yes—
132#2682C2212yes—
133#2681C2212yes—
134#2681C2212yes—
135#2677C2212yes—
136#2677C2212yes—
137#2677C2212yes—
138#2676C2212yes—
139#2676C2212yes—
140#2674C2212yes—
141#2674C2212yes—
142#2673C2212yes—
143#2672C2212yes—
144#2671C2212yes—
145#2671C2212yes—
146#2671C2212yes—
147#2667C2212yes—
148#2666C2212yes—
149#2665C2212yes—
150#2664C2212yes—
151#2663C2212yes—
152#2662C2212yes—
153#2654C2212yes—
154#2652C2212yes—
155#2651C2212yes—
156#2651C2212yes—
157#2650C2212yes—
158#2650C2212yes—
159#2649C2212yes—
160#2648C2212yes—
161#2637C2212yes—
162#2632C2212yes—
163#2606C2212yes—
164#2605C2212yes—
165#2604C2212yes—
166#2604C2212yes—
167#2603C2212yes—
168#2603C2212yes—
169#2602C2212yes—
170#2601C2212yes—
171#2601C2212yes—
172#2601C2212yes—
173#2601C2212yes—
174#2601C2212yes—
175#2597C2212yes—
176#2597C2212yes—
177#2597C2212yes—
178#2596C2212yes—
179#2596C2212yes—
180#2593C2212yes—
181#2593C2212yes—
182#2590C2212yes—
183#2590C2212yes—
184#2589C2212yes—
185#2589C2212yes—
186#2589C2212yes—
187#2589C2212yes—
188#2589C2212yes—
189#2588C2212yes—
190#2588C2212yes—
191#2586C2212yes—
192#2586C2212yes—
193#2585C2212yes—
194#2585C2212yes—
195#2584C2212yes—
196#2584C2212yes—
197#2583C2212yes—
198#2578C2212yes—
199#2574C2212yes—
200#2574C2212yes—
201#2560C2212yes—
202#2560C2212yes—
203#2559C2212yes—
204#2558C2212yes—
205#2558C2212yes—
206#2557C2212yes—
207#2556C2212yes—
208#2556C2212yes—
209#2556C2212yes—
210#2555C2212yes—
211#2554C2212yes—
212#2554C2212yes—
213#2554C2212yes—
214#2554C2212yes—
215#2553C2212yes—
216#2540C2212yes—
217#2533C2212yes—
218#2531C2212yes—
219#2525C2212yes—
220#2522C2212yes—
221#2522C2212yes—
222#2522C2212yes—
223#2521C2212yes—
224#2521C2212yes—
225#2519C2212yes—
226#2519C2212yes—
227#2519C2212yes—
228#2516C2212yes—
229#2516C2212yes—
230#2515C2212yes—
231#2513C2212yes—
232#2506C2212yes—
233#2497C2212yes—
234#2491C2212yes—
235#2479C2212yes—
236#2479C2212yes—
237#2479C2212yes—
238#2479C2212yes—
239#2478C2212yes—
240#2477C2212yes—
241#2477C2212yes—
242#2476C2212yes—
243#2476C2212yes—
244#2476C2212yes—
245#2475C2212yes—
246#2475C2212yes—
247#2474C2212yes—
248#2474C2212yes—
249#2474C2212yes—
250#2474C2212yes—
251#2471C2212yes—
252#2471C2212yes—
253#2470C2212yes—
254#2470C2212yes—
255#2470C2212yes—
256#2469C2212yes—
257#2469C2212yes—
258#2469C2212yes—
259#2469C2212yes—
260#2468C2212yes—
261#2468C2212yes—
262#2467C2212yes—
263#2466C2212yes—
264#2466C2212yes—
265#2465C2212yes—
266#2465C2212yes—
267#2465C2212yes—
268#2464C2212yes—
269#2462C2212yes—
270#2462C2212yes—
271#2462C2212yes—
272#2462C2212yes—
273#2461C2212yes—
274#2461C2212yes—
275#2461C2212yes—
276#2461C2212yes—
277#2461C2212yes—
278#2460C2212yes—
279#2459C2212yes—
280#2459C2212yes—
281#2458C2212yes—
282#2458C2212yes—
283#2458C2212yes—
284#2458C2212yes—
285#2457C2212yes—
286#2455C2212yes—
287#2451C2212yes—
288#2450C2212yes—
289#2448C2212yes—
290#2443C2212yes—
291#2441C2212yes—
292#2439C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2429C2212yes—
296#2429C2212yes—
297#2426C2212yes—
298#2426C2212yes—
299#2426C2212yes—
300#2425C2212yes—
301#2422C2212yes—
302#2421C2212yes—
303#2382C2211yescharacteristic
304#2382C2211yescharacteristic
305#2382C2211yescharacteristic
306#2379C2211yescharacteristic
307#2379C2211yescharacteristic
308#2379C2211yescharacteristic
309#2374C2212yes—
310#2374C2212yes—
311#2373C2212yes—
312#2373C2212yes—
313#2373C2212yes—
314#2373C2212yes—
315#2373C2212yes—
316#2373C2212yes—
317#2370C2212yes—
318#2368C2212yes—
319#2367C2212yes—
320#2365C2212yes—
321#2364C2212yes—
322#2364C2212yes—
323#2363C2212yes—
324#2363C2212yes—
325#2362C2212yes—
326#2362C2212yes—
327#2361C2212yes—
328#2360C2212yes—
329#2360C2212yes—
330#2359C2212yes—
331#2359C2212yes—
332#2359C2212yes—
333#2353C2212yes—
334#2353C2212yes—
335#2335C2212yes—
336#2335C2212yes—
337#2335C2212yes—
338#2334C2212yes—
339#2334C2212yes—
340#2334C2212yes—
341#2333C2212yes—
342#2332C2212yes—
343#2331C2212yes—
344#2329C2212yes—
345#2329C2212yes—
346#2326C2212yes—
347#2324C2212yes—
348#2323C2212yes—
349#2323C2212yes—
350#2322C2212yes—
351C4×C4⋊Q8C2211yescharacteristic
352C4×C4⋊Q8C2211yescharacteristic
353C4×C4⋊Q8C2211yescharacteristic
354C4×C4⋊Q8C2211yescharacteristic
355C4×C4⋊Q8C2211yescharacteristic
356C4×#127C2211yescharacteristic
357C4×#125C2211yescharacteristic
358C4×#125C2211yescharacteristic
359C4×#125C2211yescharacteristic
360C4×#125C2211yescharacteristic
361C4×#125C2211yescharacteristic
362C4×#126C2212yes—
363C4×#126C2212yes—
364C4×#124C2211yescharacteristic
365C4×#124C2211yescharacteristic
366C4×#124C2211yescharacteristic
367C4×#124C2212yes—
368C4×C22⋊Q8C2212yes—
369C4×C22⋊Q8C2211yescharacteristic
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2212yes—
372C4×C22⋊Q8C2212yes—
373C4×#123C2212yes—
374C4×#121C2212yes—
375C4×#121C2212yes—
376C4×#121C2211yescharacteristic
377#2298C2212yes—
378#2298C2212yes—
379#2296C2211yescharacteristic
380#2296C2211yescharacteristic
381#2295C2212yes—
382#2295C2211yescharacteristic
383#2295C2212yes—
384#2293C2212yes—
385#2293C2212yes—
386#2293C2212yes—
387#2293C2211yescharacteristic
388#2290C2212yes—
389#2285C2211yescharacteristic
390C42×Q8C2212yes—
391C42×Q8C2212yes—
392C4×#117C2211yescharacteristic
393C4×#117C2211yescharacteristic
394C2×C43C2211yescharacteristic
395#563—28no—
396#562—28no—
397#556—48no—
398#552—48no—
399#533—28no—
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×#127C2311yescharacteristic
406#529—44no—
407#529—44no—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#125C2311yescharacteristic
420C2×#125C2311yescharacteristic
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2311yescharacteristic
424C2×#125C2311yescharacteristic
425C2×#125C2312yes—
426C2×#125C2312yes—
427C2×#125C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2312yes—
432C2×#124C2311yescharacteristic
433C2×#124C2311yescharacteristic
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2311yescharacteristic
458C2×C22⋊Q8C2311yescharacteristic
459C2×C22⋊Q8C2311yescharacteristic
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2311yescharacteristic
467C2×#121C2311yescharacteristic
468C2×#121C2311yescharacteristic
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2312yes—
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2312yes—
484C2×C4×Q8C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C22×C4⋊C4C2312yes—
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513C22×C42C2311yescharacteristic
514C22×C42C2311yescharacteristic
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#400C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
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#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#391C2311yescharacteristic
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2312yes—
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2311yescharacteristic
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2311yescharacteristic
702#390C2311yescharacteristic
703#390C2311yescharacteristic
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2311yescharacteristic
708#390C2311yescharacteristic
709#390C2312yes—
710#390C2312yes—
711#390C2311yescharacteristic
712#390C2312yes—
713#390C2312yes—
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2311yescharacteristic
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#389C2311yescharacteristic
728#389C2311yescharacteristic
729#389C2311yescharacteristic
730#389C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2311yescharacteristic
733#389C2311yescharacteristic
734#389C2311yescharacteristic
735#389C2311yescharacteristic
736#389C2311yescharacteristic
737#389C2312yes—
738#389C2312yes—
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#389C2311yescharacteristic
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2311yescharacteristic
773#389C2312yes—
774#389C2311yescharacteristic
775#389C2311yescharacteristic
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2311yescharacteristic
781#389C2312yes—
782#389C2312yes—
783#389C2311yescharacteristic
784#389C2312yes—
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#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
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#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#384C2311yescharacteristic
1028#384C2311yescharacteristic
1029#384C2311yescharacteristic
1030#384C2311yescharacteristic
1031#384C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#382C2311yescharacteristic
1035#382C2311yescharacteristic
1036#382C2311yescharacteristic
1037#382C2311yescharacteristic
1038#382C2311yescharacteristic
1039#382C2311yescharacteristic
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2311yescharacteristic
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊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—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C43C2311yescharacteristic
1140C43C2312yes—
1141C43C2311yescharacteristic
1142C43C2311yescharacteristic
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C43C2312yes—
1148C43C2311yescharacteristic
1149C22×Q8C2412yes—
1150C22×Q8C2412yes—
1151C22×Q8C2411yescharacteristic
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×D4C2412yes—
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C23×C4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C4⋊Q8—24no—
1185C4⋊Q8—24no—
1186C4⋊Q8—28no—
1187C4⋊Q8—42no—
1188C4⋊Q8—44no—
1189#127—42no—
1190#126—28no—
1191#126—28no—
1192#126—28no—
1193#126—28no—
1194#126—28no—
1195#126—44no—
1196#126—44no—
1197#126—44no—
1198#126—44no—
1199#126—44no—
1200#126—44no—
1201#125—24no—
1202#125—24no—
1203#125—42no—
1204#125—42no—
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#125—44no—
1209#125#4118yes—
1210#124—24no—
1211#124—24no—
1212#124—24no—
1213#124—44no—
1214#124—42no—
1215#124—42no—
1216#124—44no—
1217#124—44no—
1218#124—44no—
1219#124—44no—
1220#123—28no—
1221#123—28no—
1222#123—28no—
1223#123—44no—
1224#123—44no—
1225#123—44no—
1226#123—44no—
1227#123—44no—
1228#123—44no—
1229#123—44no—
1230#123—44no—
1231C22⋊Q8—28no—
1232C22⋊Q8—28no—
1233C22⋊Q8—28no—
1234C22⋊Q8—28no—
1235C22⋊Q8—28no—
1236C22⋊Q8—28no—
1237C22⋊Q8—44no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241C22⋊Q8—44no—
1242C22⋊Q8—42no—
1243C22⋊Q8—42no—
1244C22⋊Q8—42no—
1245C22⋊Q8—44no—
1246#121—28no—
1247#121—28no—
1248#121—44no—
1249#121—42no—
1250#121—42no—
1251#121—42no—
1252#121—44no—
1253#121—44no—
1254#121—44no—
1255#121—44no—
1256C4×Q8—28no—
1257C4×Q8—28no—
1258C4×Q8—28no—
1259C4×Q8—44no—
1260C4×Q8—42no—
1261C4×Q8—44no—
1262C4×Q8—42no—
1263C4×Q8—42no—
1264C4×Q8—44no—
1265C4×Q8—44no—
1266C4×Q8—44no—
1267C4×D4—28no—
1268C4×D4—44no—
1269C4×D4—42no—
1270C4×D4—44no—
1271C4×D4—42no—
1272C4×D4—42no—
1273C4×D4—44no—
1274C4×D4—44no—
1275C4×D4—44no—
1276C4×D4—44no—
1277C4×D4—44no—
1278#117—24no—
1279#117—24no—
1280#117—28no—
1281#117—44no—
1282#117—44no—
1283#117—44no—
1284#117—44no—
1285#117—44no—
1286#117—44no—
1287#117—42no—
1288#117—42no—
1289C2×C4⋊C4—44no—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2411yescharacteristic
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2411yescharacteristic
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊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×C42—24no—
1460C2×C42—24no—
1461C2×C42—24no—
1462C2×C42—42no—
1463C2×C42—42no—
1464C2×C42—42no—
1465C2×C42—42no—
1466C2×C42C2411yescharacteristic
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2411yescharacteristic
1473C2×C42C2411yescharacteristic
1474C2×C42C2412yes—
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2411yescharacteristic
1481C2×C42C2412yes—
1482C2×C42C2411yescharacteristic
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
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×C42C2411yescharacteristic
1509C2×C42C2411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2411yescharacteristic
1520C2×C42C2411yescharacteristic
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
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—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2511yescharacteristic
1621C2×Q8—24no—
1622C2×Q8—24no—
1623C2×Q8—22no—
1624C2×Q8—22no—
1625C2×Q8—24no—
1626C2×Q8—22no—
1627C2×Q8—24no—
1628C2×Q8—24no—
1629C2×Q8—42no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—41no—
1633C2×Q8—41no—
1634C2×Q8—42no—
1635C2×Q8—41no—
1636C2×Q8—41no—
1637C2×Q8—42no—
1638C2×Q8—42no—
1639C2×Q8—42no—
1640C2×Q8—41no—
1641C2×Q8—41no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—22no—
1648C2×D4—22no—
1649C2×D4—22no—
1650C2×D4—24no—
1651C2×D4—24no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—41no—
1655C2×D4—41no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—41no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—41no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—41no—
1674C2×D4—41no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C22×C4—22no—
1679C22×C4—22no—
1680C22×C4—22no—
1681C22×C4—22no—
1682C22×C4—22no—
1683C22×C4—22no—
1684C22×C4—22no—
1685C22×C4—22no—
1686C22×C4—22no—
1687C22×C4—22no—
1688C22×C4—22no—
1689C22×C4—22no—
1690C22×C4—22no—
1691C22×C4—22no—
1692C22×C4—22no—
1693C22×C4—24no—
1694C22×C4—24no—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—24no—
1698C22×C4—24no—
1699C22×C4—41no—
1700C22×C4—41no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2511yescharacteristic
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2512yes—
1747C22×C4C2511yescharacteristic
1748C22×C4C2511yescharacteristic
1749C22×C4C2512yes—
1750C22×C4C2511yescharacteristic
1751C22×C4C2512yes—
1752C22×C4C2511yescharacteristic
1753C22×C4C2511yescharacteristic
1754C22×C4C2511yescharacteristic
1755C22×C4C2511yescharacteristic
1756C22×C4C2511yescharacteristic
1757C22×C4C2511yescharacteristic
1758C22×C4C2511yescharacteristic
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C4⋊C4—22no—
1762C4⋊C4—22no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—22no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—22no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—41no—
1800C4⋊C4—41no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—41no—
1814C4⋊C4—41no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—41no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—41no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—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⋊C4C2×#4114yes—
1852C4⋊C4C2×#4114yes—
1853C4⋊C4C2×#4118yes—
1854C4⋊C4C2×#4118yes—
1855C22⋊C4—24no—
1856C22⋊C4—24no—
1857C22⋊C4—24no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
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—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C42—22no—
1931C42—22no—
1932C42—22no—
1933C42—24no—
1934C42—24no—
1935C42—24no—
1936C42—22no—
1937C42—22no—
1938C42—22no—
1939C42—24no—
1940C42—24no—
1941C42—24no—
1942C42—22no—
1943C42—22no—
1944C42—22no—
1945C42—22no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—22no—
1950C42—22no—
1951C42—24no—
1952C42—24no—
1953C42—41no—
1954C42—41no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—41no—
1959C42—41no—
1960C42—41no—
1961C42—41no—
1962C42—41no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42C2×#4114yes—
1983C42H(5,𝔽2)14yes—
1984C422−1+414yes—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—21no—
1989C23—21no—
1990C23—21no—
1991C23—22no—
1992C23—22no—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23#58512yes—
2013C23C2611yescharacteristic
2014Q8—48no—
2015Q8—48no—
2016Q8—82no—
2017Q8—82no—
2018Q8—84no—
2019Q8—82no—
2020Q8—84no—
2021D4—84no—
2022D4—82no—
2023D4—82no—
2024D4—84no—
2025D4—82no—
2026D4—84no—
2027D4—84no—
2028D4—84no—
2029D4—84no—
2030D4—84no—
2031D4—84no—
2032D4—162no—
2033C2×C4—28no—
2034C2×C4—21no—
2035C2×C4—21no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—21no—
2042C2×C4—21no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—21no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—44no—
2126C2×C4—44no—
2127C2×C4—44no—
2128C2×C4—44no—
2129C2×C4—44no—
2130C2×C4—44no—
2131C2×C4—84no—
2132C2×C4—84no—
2133C2×C4—84no—
2134C2×C4—84no—
2135C2×C4—84no—
2136C2×C4—84no—
2137C2×C4—84no—
2138C2×C4—84no—
2139C2×C4—162no—
2140C2×C4C22×#4114yes—
2141C2×C4C22×#4112yes—
2142C2×C4C22×#4112yes—
2143C2×C4C22×#4112yes—
2144C2×C4C22×#4114yes—
2145C2×C4C2×H(5,𝔽2)12yes—
2146C2×C4C2×H(5,𝔽2)12yes—
2147C2×C4C2×H(5,𝔽2)12yes—
2148C2×C4C2×2−1+412yes—
2149C2×C4C2×2−1+412yes—
2150C2×C4C2×2−1+412yes—
2151C2×C4#58512yes—
2152C2×C4#58512yes—
2153C2×C4#58512yes—
2154C22—22no—
2155C22—22no—
2156C22—22no—
2157C22—41no—
2158C22—41no—
2159C22—41no—
2160C22—41no—
2161C22—42no—
2162C22—42no—
2163C22—42no—
2164C22—42no—
2165C22—42no—
2166C22—42no—
2167C22—42no—
2168C22—42no—
2169C22—42no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22C23×#4111yescharacteristic
2183C22C22×H(5,𝔽2)11yescharacteristic
2184C22C22×2−1+411yescharacteristic
2185C22C2×#58511yescharacteristic
2186C22C2×#58511yescharacteristic
2187C22C2×#58511yescharacteristic
2188C22C2×#58511yescharacteristic
2189C4—22no—
2190C4—22no—
2191C4—22no—
2192C4—22no—
2193C4—22no—
2194C4—22no—
2195C4—22no—
2196C4—24no—
2197C4—22no—
2198C4—22no—
2199C4—24no—
2200C4—22no—
2201C4—22no—
2202C4—22no—
2203C4—41no—
2204C4—42no—
2205C4—42no—
2206C4—42no—
2207C4—42no—
2208C4—42no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—41no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C2—42no—
2225C2—82no—
2226C2—82no—
2227C2—82no—
2228C2#6274811yescharacteristic
2229C2#6275211yescharacteristic
2230C2#6278811yescharacteristic
2231C2#6280011yescharacteristic
2232C2#6281011yescharacteristic
2233C2#6282811yescharacteristic
2234C2#6283511yescharacteristic
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. #59932C2semidirect
2. #59887C2semidirect
3. #59178C2semidirect
4. #59171C2semidirect
5. #46231C2semidirect
6. #46230C2semidirect
7. #46227C2semidirect
8. #46226C2semidirect
9. #46025C2semidirect
10. #46018C2semidirect
11. #46009C2semidirect
12. #46000C2semidirect
13. #40453C2semidirect
14. #40452C2semidirect
15. #40399C2semidirect
16. #40366C2semidirect
17. #40016C2semidirect
18. #39945C2semidirect
19. #38884C2semidirect
20. #38854C2semidirect
21. #38817C2semidirect
22. #38757C2semidirect
23. #38490C2semidirect
24. #38450C2semidirect
25. #37600C2semidirect
26. #37599C2semidirect
27. #36912C2semidirect
28. #36911C2semidirect
29. #36638C2semidirect
30. #36631C2semidirect
31. #36501C2semidirect
32. #36398C2semidirect
33. #36365C2semidirect
34. #36268C2semidirect
35. #35194C2semidirect
36. #35134C2semidirect
37. #34528C2semidirect
38. #34527C2semidirect
39. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#599322
#598872
#591782
#591712
#462312
#462302
#462272
#462262
#460252
#460182
#460092
#460002
#404532
#404522
#403992
#403662
#400162
#399452
#388842
#388542
#388172
#387572
#384902
#384502
#376002
#375992
#369122
#369112
#366382
#366312
#365012
#363982
#363652
#362682
#351942
#351342
#345282
#345272
C4×#5332