Finite Group Databasebeta

← #7697130

Subgroups — #7697130

Order 512.

4809 conjugacy classes of subgroups.

The subgroup lattice has 2080 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60043C211yesmaximal, characteristic, complemented
2#59784C212yesmaximal, complemented
3#59744C211yesmaximal, characteristic, complemented
4#59660C211yesmaximal, characteristic, complemented
5#59149C212yesmaximal, complemented
6#59077C212yesmaximal, complemented
7#52306C211yesmaximal, characteristic, complemented
8#52157C212yesmaximal, complemented
9#44604C212yesmaximal, complemented
10#44371C212yesmaximal, complemented
11#44061C212yesmaximal, complemented
12#43919C212yesmaximal, complemented
13#43880C212yesmaximal, complemented
14#43839C212yesmaximal, complemented
15#43658C212yesmaximal, complemented
16#43301C212yesmaximal, complemented
17#43036C212yesmaximal, complemented
18#40312C212yesmaximal, complemented
19#40296C212yesmaximal, complemented
20#40096C212yesmaximal, complemented
21#40086C212yesmaximal, complemented
22#39456C212yesmaximal, complemented
23#38798C212yesmaximal, complemented
24#38482C212yesmaximal, complemented
25#38156C212yesmaximal, complemented
26#38143C212yesmaximal, complemented
27#36383C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#36135C211yesmaximal, characteristic, complemented
30#35946C212yesmaximal, complemented
31#35826C212yesmaximal, complemented
32#35767C212yesmaximal, complemented
33#34325C212yesmaximal, complemented
34#34285C212yesmaximal, complemented
35#34282C212yesmaximal, complemented
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#542C2212yes—
39C2×#539C2212yes—
40C2×#533C2212yes—
41C2×#529C2212yes—
42#2864C2211yescharacteristic
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2851C2212yes—
48#2809C2211yescharacteristic
49#2802C2212yes—
50#2798C2212yes—
51#2794C2211yescharacteristic
52#2789C2212yes—
53#2789C2211yescharacteristic
54#2787C2212yes—
55#2783C2212yes—
56#2782C2211yescharacteristic
57#2779C2212yes—
58#2777C2212yes—
59#2775C2212yes—
60#2775C2212yes—
61#2773C2212yes—
62#2771C2212yes—
63#2769C2212yes—
64#2764C2212yes—
65#2758C2212yes—
66#2758C2212yes—
67#2758C2212yes—
68#2757C2212yes—
69#2757C2212yes—
70#2755C2212yes—
71#2754C2212yes—
72#2750C2212yes—
73#2749C2212yes—
74#2734C2211yescharacteristic
75#2731C2211yescharacteristic
76#2731C2211yescharacteristic
77#2730C2212yes—
78#2729C2212yes—
79#2728C2211yescharacteristic
80#2728C2211yescharacteristic
81#2728C2212yes—
82#2727C2212yes—
83#2725C2212yes—
84#2723C2212yes—
85#2722C2212yes—
86#2722C2212yes—
87#2721C2212yes—
88#2721C2212yes—
89#2719C2212yes—
90#2719C2212yes—
91#2717C2212yes—
92#2716C2212yes—
93#2716C2212yes—
94#2715C2212yes—
95#2713C2212yes—
96#2711C2212yes—
97#2708C2212yes—
98#2707C2212yes—
99#2702C2212yes—
100#2702C2212yes—
101#2696C2212yes—
102#2691C2212yes—
103#2690C2212yes—
104#2690C2212yes—
105#2688C2212yes—
106#2686C2212yes—
107#2681C2212yes—
108#2680C2211yescharacteristic
109#2677C2212yes—
110#2676C2212yes—
111#2674C2212yes—
112#2672C2212yes—
113#2671C2212yes—
114#2671C2212yes—
115#2666C2212yes—
116#2666C2212yes—
117#2665C2212yes—
118#2655C2212yes—
119#2655C2212yes—
120#2652C2212yes—
121#2652C2212yes—
122#2638C2212yes—
123#2638C2212yes—
124#2609C2212yes—
125#2606C2212yes—
126#2605C2212yes—
127#2600C2212yes—
128#2599C2212yes—
129#2598C2212yes—
130#2593C2211yescharacteristic
131#2591C2212yes—
132#2588C2212yes—
133#2587C2212yes—
134#2586C2211yescharacteristic
135#2585C2212yes—
136#2583C2212yes—
137#2582C2211yescharacteristic
138#2581C2211yescharacteristic
139#2581C2211yescharacteristic
140#2578C2212yes—
141#2578C2212yes—
142#2578C2212yes—
143#2578C2212yes—
144#2577C2212yes—
145#2577C2212yes—
146#2576C2212yes—
147#2576C2212yes—
148#2575C2212yes—
149#2575C2212yes—
150#2574C2212yes—
151#2572C2212yes—
152#2572C2211yescharacteristic
153#2570C2212yes—
154#2569C2212yes—
155#2569C2212yes—
156#2564C2212yes—
157#2564C2212yes—
158#2564C2212yes—
159#2560C2212yes—
160#2560C2212yes—
161#2559C2212yes—
162#2557C2212yes—
163#2556C2212yes—
164#2556C2212yes—
165#2556C2212yes—
166#2555C2211yescharacteristic
167#2553C2212yes—
168#2553C2212yes—
169#2553C2212yes—
170#2553C2212yes—
171#2553C2212yes—
172#2553C2212yes—
173#2550C2212yes—
174#2549C2212yes—
175#2549C2212yes—
176#2543C2212yes—
177#2537C2211yescharacteristic
178#2536C2211yescharacteristic
179#2536C2211yescharacteristic
180#2536C2212yes—
181#2536C2211yescharacteristic
182#2535C2211yescharacteristic
183#2533C2212yes—
184#2533C2212yes—
185#2533C2212yes—
186#2532C2212yes—
187#2530C2212yes—
188#2530C2212yes—
189#2530C2212yes—
190#2528C2212yes—
191#2525C2212yes—
192#2524C2212yes—
193#2524C2212yes—
194#2524C2212yes—
195#2524C2212yes—
196#2524C2212yes—
197#2523C2212yes—
198#2522C2212yes—
199#2521C2212yes—
200#2519C2212yes—
201#2515C2212yes—
202#2510C2212yes—
203#2510C2212yes—
204#2508C2212yes—
205#2508C2212yes—
206#2506C2212yes—
207#2506C2212yes—
208#2505C2212yes—
209#2496C2212yes—
210#2495C2212yes—
211#2495C2212yes—
212#2493C2212yes—
213#2493C2212yes—
214#2493C2212yes—
215#2489C2212yes—
216#2489C2212yes—
217#2489C2212yes—
218#2489C2212yes—
219#2488C2212yes—
220#2488C2212yes—
221#2485C2212yes—
222#2481C2212yes—
223#2481C2212yes—
224#2478C2212yes—
225#2478C2212yes—
226#2478C2212yes—
227#2477C2212yes—
228#2475C2212yes—
229#2474C2212yes—
230#2473C2212yes—
231#2473C2212yes—
232#2470C2212yes—
233#2470C2212yes—
234#2469C2212yes—
235#2468C2212yes—
236#2465C2212yes—
237#2465C2212yes—
238#2463C2212yes—
239#2462C2212yes—
240#2462C2212yes—
241#2462C2212yes—
242#2462C2212yes—
243#2462C2212yes—
244#2460C2212yes—
245#2460C2212yes—
246#2457C2212yes—
247#2455C2212yes—
248#2455C2212yes—
249#2453C2212yes—
250#2453C2212yes—
251#2450C2212yes—
252#2450C2212yes—
253#2449C2212yes—
254#2449C2212yes—
255#2446C2212yes—
256#2442C2212yes—
257#2442C2212yes—
258#2442C2212yes—
259#2440C2212yes—
260#2438C2212yes—
261#2438C2212yes—
262#2438C2212yes—
263#2438C2212yes—
264#2427C2212yes—
265#2427C2212yes—
266#2425C2212yes—
267#2425C2212yes—
268#2423C2212yes—
269#2422C2212yes—
270#2421C2212yes—
271#2421C2212yes—
272#2415C2212yes—
273#2415C2212yes—
274#2398C2212yes—
275#2398C2212yes—
276#2396C2212yes—
277#2396C2212yes—
278#2396C2212yes—
279#2396C2212yes—
280#2395C2212yes—
281#2392C2212yes—
282#2392C2212yes—
283#2374C2212yes—
284#2374C2212yes—
285#2373C2212yes—
286#2373C2212yes—
287#2373C2212yes—
288#2373C2212yes—
289#2371C2212yes—
290#2371C2212yes—
291#2370C2212yes—
292#2369C2212yes—
293#2368C2212yes—
294#2368C2212yes—
295#2368C2212yes—
296#2368C2212yes—
297#2368C2212yes—
298#2368C2212yes—
299#2367C2212yes—
300#2367C2212yes—
301#2365C2212yes—
302#2364C2212yes—
303#2364C2212yes—
304#2364C2212yes—
305#2364C2212yes—
306#2363C2212yes—
307#2362C2212yes—
308#2362C2212yes—
309#2362C2212yes—
310#2362C2212yes—
311#2361C2212yes—
312#2361C2212yes—
313#2361C2212yes—
314#2360C2212yes—
315#2360C2212yes—
316#2359C2212yes—
317#2359C2212yes—
318#2359C2212yes—
319#2359C2212yes—
320#2359C2212yes—
321#2359C2212yes—
322#2359C2212yes—
323#2359C2212yes—
324#2356C2211yescharacteristic
325#2353C2212yes—
326#2353C2212yes—
327#2353C2212yes—
328#2352C2212yes—
329#2351C2211yescharacteristic
330#2351C2211yescharacteristic
331#2349C2211yescharacteristic
332#2345C2212yes—
333#2343C2212yes—
334#2343C2212yes—
335#2337C2212yes—
336#2337C2212yes—
337#2336C2212yes—
338#2336C2212yes—
339#2335C2212yes—
340#2335C2212yes—
341#2334C2212yes—
342#2334C2212yes—
343#2334C2212yes—
344#2334C2212yes—
345#2333C2212yes—
346#2332C2212yes—
347#2325C2212yes—
348#2325C2212yes—
349#2320C2212yes—
350#2318C2212yes—
351C4×C4⋊Q8C2211yescharacteristic
352C4×C4⋊Q8C2211yescharacteristic
353C4×#125C2212yes—
354C4×#126C2212yes—
355C4×#126C2212yes—
356C4×#126C2212yes—
357C4×#126C2212yes—
358C4×#124C2212yes—
359C4×#124C2212yes—
360C4×#124C2211yescharacteristic
361C4×C22⋊Q8C2212yes—
362C4×#123C2212yes—
363C4×#123C2212yes—
364C4×#121C2212yes—
365#2298C2212yes—
366#2298C2212yes—
367#2295C2212yes—
368#2293C2212yes—
369#2290C2212yes—
370#2290C2212yes—
371C2×#387C2212yes—
372C2×#387C2212yes—
373#2275C2212yes—
374#2275C2212yes—
375#2274C2212yes—
376C42×Q8C2211yescharacteristic
377C42×D4C2211yescharacteristic
378C42×D4C2211yescharacteristic
379#554—48no—
380#553—216no—
381#542—216no—
382#539—216no—
383#533—48no—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388#529—48no—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2311yescharacteristic
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C42C2312yes—
480C22×C42C2312yes—
481#401C2312yes—
482#401C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2311yescharacteristic
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2311yescharacteristic
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2311yescharacteristic
537#398C2311yescharacteristic
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2311yescharacteristic
542#398C2312yes—
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#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#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2311yescharacteristic
603#395C2312yes—
604#395C2311yescharacteristic
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2311yescharacteristic
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#394C2311yescharacteristic
629#394C2311yescharacteristic
630#394C2312yes—
631#394C2311yescharacteristic
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#392C2312yes—
641#392C2312yes—
642#392C2312yes—
643#391C2312yes—
644#391C2312yes—
645#391C2311yescharacteristic
646#391C2311yescharacteristic
647#391C2311yescharacteristic
648#391C2311yescharacteristic
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2311yescharacteristic
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2311yescharacteristic
672#390C2312yes—
673#390C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2312yes—
728#388C2312yes—
729#388C2312yes—
730#388C2312yes—
731#388C2312yes—
732#388C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#387C2312yes—
780#387C2312yes—
781#387C2312yes—
782#387C2312yes—
783#387C2312yes—
784#387C2312yes—
785#387C2312yes—
786#387C2312yes—
787#387C2312yes—
788#387C2312yes—
789#387C2312yes—
790#387C2312yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#386C2312yes—
878#386C2312yes—
879#386C2312yes—
880#386C2312yes—
881#386C2312yes—
882#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2312yes—
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#385C2312yes—
908#385C2312yes—
909#385C2312yes—
910#385C2312yes—
911#385C2312yes—
912#385C2312yes—
913#385C2312yes—
914#385C2312yes—
915#385C2312yes—
916#385C2312yes—
917#385C2312yes—
918#385C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#384C2311yescharacteristic
948#384C2311yescharacteristic
949#384C2312yes—
950#383C2312yes—
951#383C2312yes—
952#383C2312yes—
953#383C2312yes—
954#383C2312yes—
955#383C2312yes—
956#383C2312yes—
957#383C2312yes—
958#383C2312yes—
959#383C2312yes—
960#383C2312yes—
961#382C2312yes—
962#382C2312yes—
963#382C2312yes—
964#382C2312yes—
965#382C2311yescharacteristic
966#382C2312yes—
967#382C2312yes—
968#382C2312yes—
969#382C2311yescharacteristic
970#382C2312yes—
971#382C2311yescharacteristic
972#382C2312yes—
973#382C2311yescharacteristic
974#382C2311yescharacteristic
975#382C2311yescharacteristic
976#382C2311yescharacteristic
977#381C2312yes—
978#381C2312yes—
979#381C2312yes—
980#381C2312yes—
981#381C2312yes—
982#381C2312yes—
983#380C2312yes—
984#380C2312yes—
985#380C2312yes—
986#380C2312yes—
987#380C2312yes—
988#380C2312yes—
989#380C2312yes—
990#380C2312yes—
991#380C2312yes—
992#380C2312yes—
993#380C2312yes—
994#380C2312yes—
995#380C2312yes—
996#380C2312yes—
997#380C2312yes—
998#380C2312yes—
999#380C2312yes—
1000#380C2312yes—
1001#380C2312yes—
1002#380C2312yes—
1003C4×C4⋊C4C2312yes—
1004C4×C4⋊C4C2312yes—
1005C4×C4⋊C4C2312yes—
1006C4×C4⋊C4C2312yes—
1007C4×C4⋊C4C2312yes—
1008C4×C4⋊C4C2312yes—
1009C4×C4⋊C4C2312yes—
1010C4×C4⋊C4C2312yes—
1011C4×C4⋊C4C2312yes—
1012C4×C4⋊C4C2312yes—
1013C4×C4⋊C4C2312yes—
1014C4×C4⋊C4C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2312yes—
1017C4×C4⋊C4C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2311yescharacteristic
1033C4×C4⋊C4C2311yescharacteristic
1034C4×C4⋊C4C2311yescharacteristic
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C22⋊C4C2312yes—
1044C4×C22⋊C4C2312yes—
1045C4×C22⋊C4C2312yes—
1046C4×C22⋊C4C2312yes—
1047C4×C22⋊C4C2312yes—
1048C4×C22⋊C4C2312yes—
1049C4×C22⋊C4C2312yes—
1050C4×C22⋊C4C2312yes—
1051C4×C22⋊C4C2312yes—
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086#376C2312yes—
1087#376C2312yes—
1088#376C2312yes—
1089#376C2312yes—
1090#376C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C43C2311yescharacteristic
1101C43C2311yescharacteristic
1102C43C2311yescharacteristic
1103C43C2312yes—
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C4⋊Q8—24no—
1138C4⋊Q8—24no—
1139C4⋊Q8—28no—
1140C4⋊Q8—44no—
1141#126—28no—
1142#126—28no—
1143#126—28no—
1144#126—28no—
1145#126—28no—
1146#126—28no—
1147#126—44no—
1148#126—44no—
1149#125—28no—
1150#125—28no—
1151#125—28no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#124—24no—
1158#124—28no—
1159#124—28no—
1160#124—28no—
1161#123—28no—
1162#123—28no—
1163#123—28no—
1164#123—28no—
1165#123—28no—
1166#123—44no—
1167#123—44no—
1168#123#41116yes—
1169C22⋊Q8—28no—
1170C22⋊Q8—28no—
1171C22⋊Q8—28no—
1172C22⋊Q8—28no—
1173C22⋊Q8—28no—
1174C22⋊Q8—28no—
1175C22⋊Q8—28no—
1176C22⋊Q8—28no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184#121—28no—
1185#121—28no—
1186#121—28no—
1187#121—28no—
1188#121—28no—
1189#121—28no—
1190#121—44no—
1191C4×Q8—28no—
1192C4×Q8—28no—
1193C4×Q8—42no—
1194C4×Q8—42no—
1195C4×Q8—42no—
1196C4×Q8—42no—
1197C4×Q8—44no—
1198C4×Q8—44no—
1199C4×Q8—44no—
1200C4×Q8—44no—
1201C4×D4—28no—
1202C4×D4—28no—
1203C4×D4—28no—
1204C4×D4—28no—
1205C4×D4—28no—
1206C4×D4—28no—
1207C4×D4—28no—
1208C4×D4—44no—
1209C4×D4—42no—
1210C4×D4—42no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—42no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—44no—
1219#117—28no—
1220#117—28no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—44no—
1225#117—44no—
1226#117—44no—
1227C2×C4⋊C4—28no—
1228C2×C4⋊C4—28no—
1229C2×C4⋊C4—44no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C42—44no—
1381C2×C42—44no—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2411yescharacteristic
1392C2×C42C2411yescharacteristic
1393C2×C42C2412yes—
1394C2×C42C2411yescharacteristic
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2411yescharacteristic
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2411yescharacteristic
1401C2×C42C2411yescharacteristic
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425#95C2411yescharacteristic
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2411yescharacteristic
1475#95C2412yes—
1476#95C2412yes—
1477#95C2411yescharacteristic
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2411yescharacteristic
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2411yescharacteristic
1527#95C2411yescharacteristic
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2411yescharacteristic
1535#95C2412yes—
1536#95C2412yes—
1537#95C2411yescharacteristic
1538#95C2412yes—
1539#95C2412yes—
1540#95C2411yescharacteristic
1541#95C2411yescharacteristic
1542#95C2412yes—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2512yes—
1546C2×Q8—24no—
1547C2×Q8—24no—
1548C2×Q8—24no—
1549C2×Q8—24no—
1550C2×Q8—22no—
1551C2×Q8—22no—
1552C2×Q8—41no—
1553C2×Q8—41no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—41no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—42no—
1560C2×Q8—41no—
1561C2×Q8—41no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8H(5,𝔽2)14yes—
1566C2×D4—24no—
1567C2×D4—24no—
1568C2×D4—24no—
1569C2×D4—24no—
1570C2×D4—24no—
1571C2×D4—24no—
1572C2×D4—24no—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—22no—
1576C2×D4—42no—
1577C2×D4—41no—
1578C2×D4—42no—
1579C2×D4—41no—
1580C2×D4—42no—
1581C2×D4—41no—
1582C2×D4—42no—
1583C2×D4—41no—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4C2×#4118yes—
1591C22×C4—24no—
1592C22×C4—24no—
1593C22×C4—24no—
1594C22×C4—24no—
1595C22×C4—24no—
1596C22×C4—24no—
1597C22×C4—24no—
1598C22×C4—24no—
1599C22×C4—24no—
1600C22×C4—24no—
1601C22×C4—24no—
1602C22×C4—24no—
1603C22×C4—24no—
1604C22×C4—24no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4C2×#4118yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2511yescharacteristic
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2512yes—
1656C22×C4C2511yescharacteristic
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2511yescharacteristic
1671C22×C4C2511yescharacteristic
1672C22×C4C2511yescharacteristic
1673C22×C4C2511yescharacteristic
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—24no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—24no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—41no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—41no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—41no—
1747C4⋊C4—41no—
1748C4⋊C4—41no—
1749C4⋊C4—41no—
1750C4⋊C4—41no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—41no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4C2×#4118yes—
1761C4⋊C4C2×#4118yes—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4C2×#4118yes—
1821C22⋊C4C2×#4118yes—
1822C22⋊C4C2×#4118yes—
1823C42—24no—
1824C42—24no—
1825C42—24no—
1826C42—24no—
1827C42—24no—
1828C42—24no—
1829C42—24no—
1830C42—24no—
1831C42—24no—
1832C42—22no—
1833C42—22no—
1834C42—24no—
1835C42—24no—
1836C42—24no—
1837C42—22no—
1838C42—24no—
1839C42—24no—
1840C42—22no—
1841C42—22no—
1842C42—22no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—41no—
1851C42—42no—
1852C42—42no—
1853C42—41no—
1854C42—42no—
1855C42—41no—
1856C42—42no—
1857C42—42no—
1858C42—42no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—22no—
1873C23—22no—
1874C23—22no—
1875C23—22no—
1876C23—22no—
1877C23—22no—
1878C23—22no—
1879C23—22no—
1880C23—22no—
1881C23—22no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23C22×#4114yes—
1886C23C22×#4114yes—
1887C23C2611yescharacteristic
1888Q8—44no—
1889Q8—44no—
1890Q8—44no—
1891Q8—84no—
1892Q8—84no—
1893Q8—84no—
1894Q8—82no—
1895D4—48no—
1896D4—48no—
1897D4—44no—
1898D4—44no—
1899D4—48no—
1900D4—44no—
1901D4—84no—
1902D4—84no—
1903D4—84no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—21no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—48no—
1988C2×C4—48no—
1989C2×C4—84no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—84no—
1994C2×C4—84no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—84no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—162no—
2002C2×C4—162no—
2003C2×C4—162no—
2004C2×C4C22×#4114yes—
2005C2×C4C22×#4114yes—
2006C2×C4C22×#4114yes—
2007C2×C4C22×#4114yes—
2008C2×C4C22×#4114yes—
2009C2×C4C2×H(5,𝔽2)12yes—
2010C2×C4C2×H(5,𝔽2)12yes—
2011C2×C4C2×H(5,𝔽2)12yes—
2012C2×C4#58512yes—
2013C22—24no—
2014C22—24no—
2015C22—24no—
2016C22—24no—
2017C22—24no—
2018C22—24no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—42no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—42no—
2034C22C23×#4112yes—
2035C22C22×H(5,𝔽2)11yescharacteristic
2036C22C2×#58511yescharacteristic
2037C222−1+612yes—
2038C222−1+611yescharacteristic
2039C4—24no—
2040C4—24no—
2041C4—24no—
2042C4—22no—
2043C4—24no—
2044C4—22no—
2045C4—22no—
2046C4—22no—
2047C4—24no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C4—42no—
2065C4—42no—
2066C4—42no—
2067C4—41no—
2068C4—42no—
2069C4—41no—
2070C4—41no—
2071C2—44no—
2072C2—44no—
2073C2—82no—
2074C2#41211yescharacteristic
2075C2#6286112yes—
2076C2#6290111yescharacteristic
2077C2#6298412yes—
2078C2#6306411yescharacteristic
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. #60043C2semidirect
2. #59784C2semidirect
3. #59744C2semidirect
4. #59660C2semidirect
5. #59149C2semidirect
6. #59077C2semidirect
7. #52306C2semidirect
8. #52157C2semidirect
9. #44604C2semidirect
10. #44371C2semidirect
11. #44061C2semidirect
12. #43919C2semidirect
13. #43880C2semidirect
14. #43839C2semidirect
15. #43658C2semidirect
16. #43301C2semidirect
17. #43036C2semidirect
18. #40312C2semidirect
19. #40296C2semidirect
20. #40096C2semidirect
21. #40086C2semidirect
22. #39456C2semidirect
23. #38798C2semidirect
24. #38482C2semidirect
25. #38156C2semidirect
26. #38143C2semidirect
27. #36383C2semidirect
28. #36151C2semidirect
29. #36135C2semidirect
30. #35946C2semidirect
31. #35826C2semidirect
32. #35767C2semidirect
33. #34325C2semidirect
34. #34285C2semidirect
35. #34282C2semidirect

Maximal subgroups

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

subgroupindex
#600432
#597842
#597442
#596602
#591492
#590772
#523062
#521572
#446042
#443712
#440612
#439192
#438802
#438392
#436582
#433012
#430362
#403122
#402962
#400962
#400862
#394562
#387982
#384822
#381562
#381432
#363832
#361512
#361352
#359462
#358262
#357672
#343252
#342852
#342822