Finite Group Databasebeta

← #8075352

Subgroups — #8075352

Order 512.

4741 conjugacy classes of subgroups.

The subgroup lattice has 2158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60021C212yesmaximal, complemented
2#59948C212yesmaximal, complemented
3#59912C212yesmaximal, complemented
4#59879C211yesmaximal, characteristic, complemented
5#59878C211yesmaximal, characteristic, complemented
6#59834C211yesmaximal, characteristic, complemented
7#51590C212yesmaximal, complemented
8#51573C212yesmaximal, complemented
9#51562C212yesmaximal, complemented
10#50145C212yesmaximal, complemented
11#49426C212yesmaximal, complemented
12#49187C212yesmaximal, complemented
13#49083C212yesmaximal, complemented
14#48628C212yesmaximal, complemented
15#48206C212yesmaximal, complemented
16#47669C212yesmaximal, complemented
17#47598C212yesmaximal, complemented
18#47594C212yesmaximal, complemented
19#45102C212yesmaximal, complemented
20#44842C212yesmaximal, complemented
21#44384C212yesmaximal, complemented
22#44224C212yesmaximal, complemented
23#44181C212yesmaximal, complemented
24#44167C212yesmaximal, complemented
25#43990C212yesmaximal, complemented
26#43987C212yesmaximal, complemented
27#43903C212yesmaximal, complemented
28#39616C211yesmaximal, characteristic, complemented
29#39505C211yesmaximal, characteristic, complemented
30#39497C211yesmaximal, characteristic, complemented
31#39166C212yesmaximal, complemented
32#38701C212yesmaximal, complemented
33#38555C212yesmaximal, complemented
34#34522C211yesmaximal, characteristic, complemented
35#34467C212yesmaximal, complemented
36C2×#562C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#555C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#548C2212yes—
41C2×#542C2212yes—
42#2868C2211yescharacteristic
43#2850C2212yes—
44#2836C2212yes—
45#2810C2211yescharacteristic
46#2809C2211yescharacteristic
47#2808C2211yescharacteristic
48#2806C2211yescharacteristic
49#2805C2212yes—
50#2803C2212yes—
51#2795C2212yes—
52#2795C2212yes—
53#2795C2212yes—
54#2790C2212yes—
55#2790C2212yes—
56#2790C2212yes—
57#2790C2212yes—
58#2788C2212yes—
59#2788C2212yes—
60#2781C2212yes—
61#2781C2212yes—
62#2779C2212yes—
63#2775C2212yes—
64#2775C2212yes—
65#2774C2212yes—
66#2772C2212yes—
67#2772C2212yes—
68#2768C2212yes—
69#2767C2212yes—
70#2764C2212yes—
71#2761C2212yes—
72#2761C2212yes—
73#2758C2212yes—
74#2757C2212yes—
75#2755C2212yes—
76#2753C2212yes—
77#2750C2212yes—
78#2747C2212yes—
79#2744C2212yes—
80#2743C2212yes—
81#2741C2212yes—
82#2738C2212yes—
83#2734C2211yescharacteristic
84#2733C2211yescharacteristic
85#2733C2211yescharacteristic
86#2732C2211yescharacteristic
87#2731C2212yes—
88#2731C2212yes—
89#2731C2212yes—
90#2731C2212yes—
91#2730C2212yes—
92#2730C2212yes—
93#2730C2212yes—
94#2729C2212yes—
95#2729C2212yes—
96#2729C2212yes—
97#2729C2212yes—
98#2729C2212yes—
99#2728C2212yes—
100#2728C2212yes—
101#2727C2211yescharacteristic
102#2725C2212yes—
103#2725C2212yes—
104#2724C2211yescharacteristic
105#2720C2212yes—
106#2720C2212yes—
107#2720C2212yes—
108#2720C2212yes—
109#2715C2212yes—
110#2714C2212yes—
111#2712C2212yes—
112#2710C2212yes—
113#2708C2212yes—
114#2707C2212yes—
115#2707C2212yes—
116#2707C2212yes—
117#2706C2212yes—
118#2706C2212yes—
119#2705C2212yes—
120#2705C2212yes—
121#2703C2212yes—
122#2701C2212yes—
123#2700C2212yes—
124#2700C2212yes—
125#2699C2212yes—
126#2695C2212yes—
127#2693C2212yes—
128#2687C2212yes—
129#2682C2212yes—
130#2682C2211yescharacteristic
131#2682C2212yes—
132#2682C2211yescharacteristic
133#2681C2212yes—
134#2681C2212yes—
135#2680C2212yes—
136#2676C2212yes—
137#2676C2212yes—
138#2675C2212yes—
139#2672C2212yes—
140#2671C2212yes—
141#2660C2212yes—
142#2649C2212yes—
143#2648C2212yes—
144#2639C2212yes—
145#2639C2212yes—
146#2635C2212yes—
147#2630C2212yes—
148#2629C2212yes—
149#2620C2212yes—
150#2612C2212yes—
151#2612C2212yes—
152#2611C2212yes—
153#2610C2212yes—
154#2609C2212yes—
155#2609C2212yes—
156#2604C2212yes—
157#2604C2212yes—
158#2603C2212yes—
159#2602C2212yes—
160#2602C2212yes—
161#2602C2212yes—
162#2601C2212yes—
163#2598C2212yes—
164#2593C2212yes—
165#2592C2212yes—
166#2590C2212yes—
167#2589C2212yes—
168#2588C2212yes—
169#2588C2212yes—
170#2588C2212yes—
171#2586C2212yes—
172#2585C2212yes—
173#2585C2212yes—
174#2579C2212yes—
175#2577C2212yes—
176#2575C2212yes—
177#2574C2212yes—
178#2574C2212yes—
179#2574C2212yes—
180#2573C2212yes—
181#2573C2212yes—
182#2573C2212yes—
183#2571C2211yescharacteristic
184#2570C2212yes—
185#2568C2211yescharacteristic
186#2567C2212yes—
187#2566C2212yes—
188#2566C2212yes—
189#2564C2212yes—
190#2564C2212yes—
191#2559C2212yes—
192#2558C2212yes—
193#2558C2212yes—
194#2558C2212yes—
195#2556C2212yes—
196#2555C2212yes—
197#2555C2212yes—
198#2555C2212yes—
199#2554C2212yes—
200#2554C2212yes—
201#2553C2212yes—
202#2552C2211yescharacteristic
203#2550C2212yes—
204#2549C2212yes—
205#2549C2212yes—
206#2545C2212yes—
207#2543C2212yes—
208#2543C2212yes—
209#2542C2211yescharacteristic
210#2538C2211yescharacteristic
211#2537C2211yescharacteristic
212#2532C2212yes—
213#2532C2212yes—
214#2532C2212yes—
215#2529C2212yes—
216#2529C2212yes—
217#2529C2212yes—
218#2526C2212yes—
219#2526C2212yes—
220#2524C2212yes—
221#2521C2212yes—
222#2520C2212yes—
223#2519C2212yes—
224#2519C2212yes—
225#2518C2212yes—
226#2518C2212yes—
227#2518C2212yes—
228#2516C2212yes—
229#2507C2212yes—
230#2505C2212yes—
231#2505C2212yes—
232#2500C2212yes—
233#2497C2212yes—
234#2492C2212yes—
235#2491C2212yes—
236#2491C2212yes—
237#2490C2212yes—
238#2489C2212yes—
239#2488C2212yes—
240#2488C2212yes—
241#2477C2212yes—
242#2476C2212yes—
243#2476C2212yes—
244#2474C2212yes—
245#2474C2212yes—
246#2474C2212yes—
247#2474C2212yes—
248#2474C2212yes—
249#2473C2212yes—
250#2471C2212yes—
251#2470C2212yes—
252#2469C2212yes—
253#2468C2212yes—
254#2467C2212yes—
255#2465C2212yes—
256#2465C2212yes—
257#2464C2212yes—
258#2464C2212yes—
259#2463C2212yes—
260#2461C2212yes—
261#2461C2212yes—
262#2461C2212yes—
263#2457C2212yes—
264#2457C2212yes—
265#2456C2212yes—
266#2456C2212yes—
267#2456C2212yes—
268#2456C2212yes—
269#2454C2212yes—
270#2453C2212yes—
271#2452C2212yes—
272#2450C2212yes—
273#2449C2212yes—
274#2448C2212yes—
275#2448C2212yes—
276#2446C2212yes—
277#2440C2212yes—
278#2439C2212yes—
279#2439C2212yes—
280#2438C2212yes—
281#2438C2212yes—
282#2436C2212yes—
283#2434C2212yes—
284#2434C2212yes—
285#2432C2212yes—
286#2430C2212yes—
287#2430C2212yes—
288#2429C2212yes—
289#2429C2212yes—
290#2429C2212yes—
291#2426C2212yes—
292#2425C2212yes—
293#2425C2212yes—
294#2422C2212yes—
295#2421C2212yes—
296#2421C2212yes—
297#2421C2212yes—
298#2419C2212yes—
299#2417C2212yes—
300#2416C2212yes—
301#2413C2212yes—
302#2413C2212yes—
303#2409C2212yes—
304#2407C2212yes—
305#2406C2212yes—
306#2399C2212yes—
307#2396C2212yes—
308#2388C2212yes—
309#2382C2211yescharacteristic
310#2379C2212yes—
311#2379C2211yescharacteristic
312#2379C2211yescharacteristic
313#2377C2212yes—
314#2377C2212yes—
315#2374C2212yes—
316#2373C2212yes—
317#2373C2212yes—
318#2372C2212yes—
319#2369C2212yes—
320#2368C2212yes—
321#2368C2212yes—
322#2368C2212yes—
323#2367C2212yes—
324#2367C2212yes—
325#2365C2212yes—
326#2363C2212yes—
327#2363C2212yes—
328#2363C2212yes—
329#2361C2212yes—
330#2359C2212yes—
331#2359C2212yes—
332#2359C2212yes—
333#2359C2212yes—
334#2359C2212yes—
335#2359C2212yes—
336#2355C2211yescharacteristic
337#2354C2211yescharacteristic
338#2354C2211yescharacteristic
339#2352C2212yes—
340#2349C2212yes—
341D4×C4⋊C4C2211yescharacteristic
342#2347C2212yes—
343#2346C2212yes—
344#2343C2212yes—
345#2343C2212yes—
346#2343C2212yes—
347#2337C2212yes—
348#2337C2212yes—
349#2335C2212yes—
350#2335C2212yes—
351#2334C2212yes—
352#2334C2212yes—
353#2331C2212yes—
354#2326C2212yes—
355#2326C2212yes—
356#2325C2212yes—
357#2325C2212yes—
358#2325C2212yes—
359#2325C2212yes—
360#2324C2212yes—
361#2323C2212yes—
362#2323C2212yes—
363#2319C2212yes—
364#2317C2212yes—
365#2314C2212yes—
366#2314C2212yes—
367C4×#125C2211yescharacteristic
368C4×#124C2211yescharacteristic
369C4×#124C2211yescharacteristic
370C4×#123C2212yes—
371C4×#121C2212yes—
372#2296C2212yes—
373#2295C2211yescharacteristic
374C2×#391C2212yes—
375#2293C2211yescharacteristic
376#2293C2211yescharacteristic
377#2290C2212yes—
378#2290C2212yes—
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#562—28no—
382#557—44no—
383#555—216no—
384D4×Q8—44no—
385#548—48no—
386#542—48no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#125C2311yescharacteristic
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2311yescharacteristic
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#124C2311yescharacteristic
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2312yes—
488C22×C42C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#391C2311yescharacteristic
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2311yescharacteristic
694#391C2312yes—
695#391C2312yes—
696#390C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2311yescharacteristic
720#389C2311yescharacteristic
721#389C2311yescharacteristic
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2311yescharacteristic
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2311yescharacteristic
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2311yescharacteristic
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#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#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#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#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#384C2311yescharacteristic
998#384C2311yescharacteristic
999#384C2311yescharacteristic
1000#384C2311yescharacteristic
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#382C2311yescharacteristic
1006#382C2312yes—
1007#382C2312yes—
1008#382C2311yescharacteristic
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2311yescharacteristic
1017#382C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2311yescharacteristic
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2311yescharacteristic
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊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—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2311yescharacteristic
1104C2×#41—44no—
1105C2×#41—82no—
1106C2×#41—82no—
1107C22×Q8—28no—
1108C22×Q8—82no—
1109C22×Q8—82no—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C4⋊Q8—28no—
1151C4⋊Q8—28no—
1152C4⋊Q8—44no—
1153C4⋊Q8—42no—
1154C4⋊Q8—42no—
1155C4⋊Q8—82no—
1156C4⋊Q8—82no—
1157#126—28no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#125—24no—
1162#125—44no—
1163#125—44no—
1164#125—44no—
1165#125—82no—
1166#124—28no—
1167#124—28no—
1168#124—28no—
1169#124—28no—
1170#124—24no—
1171#124—44no—
1172#124—44no—
1173#124—44no—
1174#124—44no—
1175#124—82no—
1176#124#4118yescomplemented
1177#123—28no—
1178#123—28no—
1179#123—28no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—82no—
1186#123—82no—
1187#123—82no—
1188#123—82no—
1189C22⋊Q8—28no—
1190C22⋊Q8—28no—
1191C22⋊Q8—28no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203#121—28no—
1204#121—28no—
1205#121—28no—
1206#121—28no—
1207#121—28no—
1208#121—28no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—44no—
1213#121—82no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217C4×Q8—24no—
1218C4×Q8—42no—
1219C4×Q8—42no—
1220C4×Q8—44no—
1221C4×Q8—44no—
1222C4×Q8—44no—
1223C4×Q8—44no—
1224C4×D4—24no—
1225C4×D4—28no—
1226C4×D4—28no—
1227C4×D4—42no—
1228C4×D4—42no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—42no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—44no—
1236C4×D4—82no—
1237C4×D4—82no—
1238C4×D4—82no—
1239C4×D4—82no—
1240#117—28no—
1241#117—28no—
1242#117—28no—
1243#117—28no—
1244#117—44no—
1245#117—44no—
1246#117—82no—
1247#117—82no—
1248#117—82no—
1249C2×C4⋊C4—82no—
1250C2×C4⋊C4—82no—
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⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2411yescharacteristic
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2411yescharacteristic
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
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×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×C42—82no—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2411yescharacteristic
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453C2×C42C2411yescharacteristic
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2411yescharacteristic
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#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#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#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555C24C2512yes—
1556C24C2512yes—
1557C24C2512yes—
1558C24C2512yes—
1559#41—816no—
1560C2×Q8—22no—
1561C2×Q8—24no—
1562C2×Q8—24no—
1563C2×Q8—24no—
1564C2×Q8—24no—
1565C2×Q8—24no—
1566C2×Q8—41no—
1567C2×Q8—41no—
1568C2×Q8—41no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—41no—
1572C2×Q8—42no—
1573C2×Q8—41no—
1574C2×Q8—41no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—42no—
1580C2×Q8—42no—
1581C2×Q8—42no—
1582C2×Q8—816no—
1583C2×Q8C2×#4114yes—
1584C2×Q8H(5,𝔽2)14yes—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—24no—
1590C2×D4—24no—
1591C2×D4—22no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—22no—
1595C2×D4—24no—
1596C2×D4—22no—
1597C2×D4—41no—
1598C2×D4—41no—
1599C2×D4—42no—
1600C2×D4—41no—
1601C2×D4—41no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—41no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—41no—
1612C2×D4—41no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—41no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4C2×#4114yes—
1633C22×C4—24no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—24no—
1638C22×C4—24no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—24no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2511yescharacteristic
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2511yescharacteristic
1705C22×C4C2511yescharacteristic
1706C22×C4C2511yescharacteristic
1707C22×C4C2511yescharacteristic
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2511yescharacteristic
1711C22×C4C2511yescharacteristic
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—22no—
1723C4⋊C4—22no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—22no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—22no—
1738C4⋊C4—24no—
1739C4⋊C4—41no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—41no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—41no—
1760C4⋊C4—42no—
1761C4⋊C4—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—41no—
1782C4⋊C4—41no—
1783C4⋊C4—41no—
1784C4⋊C4—41no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—41no—
1797C4⋊C4—41no—
1798C4⋊C4—41no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C42−1+414yes—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4C2×#4118yes—
1882C22⋊C4C2×#4118yes—
1883C42—24no—
1884C42—24no—
1885C42—24no—
1886C42—24no—
1887C42—24no—
1888C42—24no—
1889C42—22no—
1890C42—24no—
1891C42—22no—
1892C42—24no—
1893C42—24no—
1894C42—22no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—41no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C42—42no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—41no—
1916C42—41no—
1917C42C2×#4114yes—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23C22×#4114yes—
1946C23C2611yescharacteristic
1947Q8—44no—
1948Q8—44no—
1949Q8—48no—
1950Q8—84no—
1951Q8—82no—
1952Q8—84no—
1953Q8—84no—
1954Q8—84no—
1955D4—44no—
1956D4—48no—
1957D4—44no—
1958D4—84no—
1959D4—82no—
1960D4—82no—
1961D4—84no—
1962D4—84no—
1963D4—84no—
1964D4—84no—
1965D4—84no—
1966D4—84no—
1967D4—84no—
1968D4—84no—
1969D4—84no—
1970D4—162no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—22no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—48no—
2056C2×C4—48no—
2057C2×C4—48no—
2058C2×C4—84no—
2059C2×C4—84no—
2060C2×C4—84no—
2061C2×C4—84no—
2062C2×C4—84no—
2063C2×C4—84no—
2064C2×C4—84no—
2065C2×C4—84no—
2066C2×C4—84no—
2067C2×C4—84no—
2068C2×C4—84no—
2069C2×C4—162no—
2070C2×C4—162no—
2071C2×C4C22×#4112yes—
2072C2×C4C22×#4112yes—
2073C2×C4C22×#4114yes—
2074C2×C4C22×#4112yes—
2075C2×C4C2×H(5,𝔽2)12yes—
2076C2×C4C2×H(5,𝔽2)14yes—
2077C2×C4C2×2−1+412yes—
2078C2×C4C2×2−1+414yes—
2079C2×C4#58512yes—
2080C22—24no—
2081C22—24no—
2082C22—24no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22—42no—
2098C22—42no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22C23×#4111yescharacteristic
2109C22C22×H(5,𝔽2)11yescharacteristic
2110C22C22×2−1+411yescharacteristic
2111C22C2×#58511yescharacteristic
2112C22H(7,𝔽2)11yescharacteristic
2113C22H(7,𝔽2)11yescharacteristic
2114C222−1+611yescharacteristic
2115C4—24no—
2116C4—22no—
2117C4—22no—
2118C4—22no—
2119C4—24no—
2120C4—24no—
2121C4—22no—
2122C4—22no—
2123C4—22no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—41no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4—42no—
2140C4—42no—
2141C4—42no—
2142C4—42no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C2—44no—
2147C2—82no—
2148C2—82no—
2149C2—82no—
2150C2#6286211yescharacteristic
2151C2#6286911yescharacteristic
2152C2#6287711yescharacteristic
2153C2#6298411yescharacteristic
2154C2#6299411yescharacteristic
2155C2#6300011yescharacteristic
2156C2#6303911yescharacteristic
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. #60021C2semidirect
2. #59948C2semidirect
3. #59912C2semidirect
4. #59879C2semidirect
5. #59878C2semidirect
6. #59834C2semidirect
7. #51590C2semidirect
8. #51573C2semidirect
9. #51562C2semidirect
10. #50145C2semidirect
11. #49426C2semidirect
12. #49187C2semidirect
13. #49083C2semidirect
14. #48628C2semidirect
15. #48206C2semidirect
16. #47669C2semidirect
17. #47598C2semidirect
18. #47594C2semidirect
19. #45102C2semidirect
20. #44842C2semidirect
21. #44384C2semidirect
22. #44224C2semidirect
23. #44181C2semidirect
24. #44167C2semidirect
25. #43990C2semidirect
26. #43987C2semidirect
27. #43903C2semidirect
28. #39616C2semidirect
29. #39505C2semidirect
30. #39497C2semidirect
31. #39166C2semidirect
32. #38701C2semidirect
33. #38555C2semidirect
34. #34522C2semidirect
35. #34467C2semidirect
1176. #124#41semidirect

Maximal subgroups

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

subgroupindex
#600212
#599482
#599122
#598792
#598782
#598342
#515902
#515732
#515622
#501452
#494262
#491872
#490832
#486282
#482062
#476692
#475982
#475942
#451022
#448422
#443842
#442242
#441812
#441672
#439902
#439872
#439032
#396162
#395052
#394972
#391662
#387012
#385552
#345222
#344672