Finite Group Databasebeta

← #8935536

Subgroups — #8935536

Order 512.

4542 conjugacy classes of subgroups.

The subgroup lattice has 2222 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58399C212yesmaximal, complemented
2#56267C212yesmaximal, complemented
3#55833C212yesmaximal, complemented
4#55698C212yesmaximal, complemented
5#54745C212yesmaximal, complemented
6#54306C212yesmaximal, complemented
7#51922C212yesmaximal, complemented
8#51842C212yesmaximal, complemented
9#50807C212yesmaximal, complemented
10#49640C212yesmaximal, complemented
11#49358C212yesmaximal, complemented
12#49081C212yesmaximal, complemented
13#48787C212yesmaximal, complemented
14#48358C212yesmaximal, complemented
15#48121C212yesmaximal, complemented
16#46669C212yesmaximal, complemented
17#46402C212yesmaximal, complemented
18#45358C212yesmaximal, complemented
19#43565C212yesmaximal, complemented
20#43505C212yesmaximal, complemented
21#43233C212yesmaximal, complemented
22#42056C212yesmaximal, complemented
23#41257C212yesmaximal, complemented
24#41203C212yesmaximal, complemented
25#40973C212yesmaximal, complemented
26#40792C212yesmaximal, complemented
27#37948C211yesmaximal, characteristic, complemented
28#37941C211yesmaximal, characteristic, complemented
29#37768C211yesmaximal, characteristic, complemented
30#37768C211yesmaximal, characteristic, complemented
31#36727C211yesmaximal, characteristic, complemented
32#35863C212yesmaximal, complemented
33#35772C212yesmaximal, complemented
34#35516C211yesmaximal, characteristic, complemented
35#35368C211yesmaximal, characteristic, complemented
36C2×#552C2212yescomplemented
37C2×#539C2211yescharacteristic
38C2×#539C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41#2847C2211yescharacteristic
42#2847C2211yescharacteristic
43#2837C2212yescomplemented
44#2836C2212yescomplemented
45#2836C2212yescomplemented
46#2836C2212yescomplemented
47#2831C2212yescomplemented
48#2828C2212yescomplemented
49#2827C2212yescomplemented
50#2826C2212yes—
51#2820C2212yescomplemented
52#2813C2212yes—
53#2807C2212yes—
54#2807C2212yescomplemented
55#2807C2212yescomplemented
56#2807C2212yescomplemented
57#2806C2212yescomplemented
58#2803C2212yescomplemented
59#2801C2212yescomplemented
60#2797C2212yes—
61#2796C2212yes—
62#2791C2212yescomplemented
63#2790C2212yes—
64#2787C2212yes—
65#2784C2212yes—
66#2784C2212yes—
67#2783C2212yescomplemented
68#2781C2212yes—
69#2780C2212yes—
70#2780C2212yes—
71#2779C2212yes—
72#2779C2212yescomplemented
73#2778C2212yes—
74#2773C2212yescomplemented
75#2772C2212yescomplemented
76#2772C2212yescomplemented
77#2768C2212yes—
78#2768C2212yes—
79#2768C2212yescomplemented
80#2767C2212yescomplemented
81#2765C2212yescomplemented
82#2762C2212yescomplemented
83#2756C2212yes—
84#2753C2212yescomplemented
85#2750C2212yescomplemented
86#2748C2212yes—
87#2748C2212yes—
88#2748C2212yes—
89#2747C2212yescomplemented
90#2746C2212yes—
91#2744C2212yes—
92#2742C2212yescomplemented
93#2742C2212yescomplemented
94#2741C2212yes—
95#2741C2212yes—
96#2741C2212yes—
97#2741C2212yescomplemented
98#2740C2212yescomplemented
99#2739C2212yes—
100#2732C2212yes—
101#2732C2212yes—
102#2728C2212yescomplemented
103#2727C2212yescomplemented
104#2726C2212yescomplemented
105#2725C2212yescomplemented
106#2722C2212yescomplemented
107#2721C2212yescomplemented
108#2721C2212yescomplemented
109#2720C2212yes—
110#2720C2212yescomplemented
111#2719C2212yescomplemented
112#2719C2212yescomplemented
113#2719C2212yescomplemented
114#2719C2212yescomplemented
115#2719C2212yescomplemented
116#2718C2212yescomplemented
117#2717C2212yescomplemented
118#2714C2212yes—
119#2714C2212yes—
120#2714C2212yescomplemented
121#2711C2212yes—
122#2711C2212yes—
123#2710C2212yescomplemented
124#2707C2212yes—
125#2707C2212yes—
126#2707C2212yescomplemented
127#2707C2212yescomplemented
128#2706C2212yes—
129#2706C2212yescomplemented
130#2704C2212yescomplemented
131#2703C2212yes—
132#2703C2212yes—
133#2701C2212yes—
134#2701C2212yes—
135#2701C2212yes—
136#2695C2212yes—
137#2694C2212yes—
138#2694C2212yes—
139#2694C2212yes—
140#2694C2212yes—
141#2694C2212yes—
142#2694C2212yescomplemented
143#2693C2212yes—
144#2693C2212yescomplemented
145#2693C2212yescomplemented
146#2691C2212yes—
147#2691C2212yes—
148#2686C2212yes—
149#2686C2212yes—
150#2682C2212yes—
151#2682C2212yes—
152#2682C2212yes—
153#2681C2212yes—
154#2676C2212yescomplemented
155#2672C2212yes—
156#2671C2212yes—
157#2671C2212yes—
158#2671C2212yes—
159#2671C2212yes—
160#2671C2212yes—
161#2664C2212yescomplemented
162#2661C2212yes—
163#2661C2212yescomplemented
164#2659C2211yescharacteristic
165#2656C2211yescharacteristic
166#2656C2211yescharacteristic
167#2656C2211yescharacteristic
168#2655C2212yescomplemented
169#2654C2212yescomplemented
170#2652C2212yescomplemented
171#2651C2212yescomplemented
172#2651C2212yescomplemented
173#2650C2212yescomplemented
174#2649C2212yes—
175#2648C2212yes—
176#2648C2212yescomplemented
177#2646C2211yescharacteristic
178#2646C2211yescharacteristic
179#2636C2212yes—
180#2636C2212yescomplemented
181#2635C2212yescomplemented
182#2633C2212yes—
183#2630C2212yescomplemented
184#2629C2212yescomplemented
185#2623C2212yescomplemented
186#2618C2211yescharacteristic
187#2618C2211yescharacteristic
188#2618C2211yescharacteristic
189#2618C2211yescharacteristic
190#2609C2212yes—
191#2609C2212yescomplemented
192#2602C2212yes—
193#2602C2212yescomplemented
194#2601C2212yes—
195#2601C2212yescomplemented
196#2600C2212yes—
197#2600C2212yescomplemented
198#2597C2212yes—
199#2595C2212yes—
200#2590C2212yescomplemented
201#2590C2212yescomplemented
202#2590C2212yescomplemented
203#2587C2212yescomplemented
204#2587C2212yescomplemented
205#2585C2212yescomplemented
206#2584C2212yescomplemented
207#2580C2212yescomplemented
208#2575C2212yes—
209#2575C2212yescomplemented
210#2574C2212yes—
211#2573C2212yescomplemented
212#2569C2212yes—
213#2569C2212yes—
214#2566C2212yes—
215#2564C2212yes—
216#2562C2212yes—
217#2559C2212yes—
218#2558C2212yes—
219#2558C2212yes—
220#2557C2212yes—
221#2556C2212yes—
222#2555C2212yes—
223#2553C2212yes—
224#2553C2212yescomplemented
225#2553C2212yescomplemented
226#2539C2212yes—
227#2539C2212yes—
228#2537C2212yes—
229#2535C2212yes—
230#2534C2212yes—
231#2525C2212yescomplemented
232#2522C2212yes—
233#2522C2212yes—
234#2522C2212yescomplemented
235#2522C2212yescomplemented
236#2519C2212yescomplemented
237#2519C2212yescomplemented
238#2516C2212yescomplemented
239#2515C2212yes—
240#2515C2212yescomplemented
241#2509C2212yescomplemented
242#2506C2212yescomplemented
243#2506C2212yescomplemented
244#2505C2212yes—
245#2505C2212yes—
246#2505C2212yes—
247#2505C2212yes—
248#2505C2212yescomplemented
249#2498C2212yescomplemented
250#2490C2212yes—
251#2488C2212yes—
252#2487C2212yes—
253#2487C2212yes—
254#2486C2212yes—
255#2485C2212yes—
256#2485C2212yes—
257#2481C2212yes—
258#2479C2212yes—
259#2479C2212yes—
260#2479C2212yescomplemented
261#2478C2212yescomplemented
262#2476C2212yes—
263#2475C2212yescomplemented
264#2475C2212yescomplemented
265#2474C2212yes—
266#2473C2212yes—
267#2473C2212yes—
268#2473C2212yes—
269#2473C2212yes—
270#2473C2212yescomplemented
271#2473C2212yescomplemented
272#2472C2212yes—
273#2471C2212yes—
274#2470C2212yes—
275#2470C2212yes—
276#2470C2212yescomplemented
277#2467C2212yes—
278#2464C2212yes—
279#2464C2212yes—
280#2462C2212yescomplemented
281#2460C2212yes—
282#2460C2212yes—
283#2460C2212yescomplemented
284#2460C2212yescomplemented
285#2460C2212yescomplemented
286#2457C2212yescomplemented
287#2456C2212yes—
288#2456C2212yes—
289#2456C2212yes—
290#2456C2212yescomplemented
291#2455C2212yes—
292#2455C2212yes—
293#2454C2212yes—
294#2454C2212yes—
295#2454C2212yes—
296#2454C2212yes—
297#2454C2212yes—
298#2454C2212yescomplemented
299#2454C2212yescomplemented
300#2443C2212yes—
301#2443C2212yes—
302#2443C2212yes—
303#2443C2212yescomplemented
304#2442C2212yes—
305#2442C2212yes—
306#2441C2212yes—
307#2426C2212yes—
308#2425C2212yes—
309#2425C2212yes—
310#2425C2212yes—
311#2425C2212yescomplemented
312#2424C2212yes—
313#2424C2212yes—
314#2424C2212yes—
315#2424C2212yes—
316#2423C2212yes—
317#2423C2212yescomplemented
318#2423C2212yescomplemented
319#2422C2212yes—
320#2422C2212yes—
321#2421C2212yes—
322#2421C2212yescomplemented
323#2420C2212yes—
324#2419C2212yes—
325#2419C2212yes—
326#2418C2212yes—
327#2418C2212yes—
328#2418C2212yes—
329#2411C2212yes—
330#2407C2212yes—
331#2407C2212yes—
332#2396C2212yes—
333#2395C2212yes—
334#2392C2212yes—
335#2392C2212yescomplemented
336#2392C2212yescomplemented
337#2378C2212yescomplemented
338#2376C2212yes—
339#2376C2212yescomplemented
340#2374C2212yes—
341#2374C2212yes—
342#2370C2212yescomplemented
343#2368C2212yescomplemented
344#2367C2212yes—
345#2363C2212yes—
346#2363C2212yes—
347#2363C2212yes—
348#2361C2212yes—
349#2361C2212yes—
350#2361C2212yes—
351#2359C2212yes—
352#2355C2212yescomplemented
353#2352C2212yes—
354#2352C2212yescomplemented
355D4×C4⋊C4C2212yescomplemented
356#2335C2212yes—
357#2335C2212yes—
358#2329C2211yescharacteristic
359#2329C2211yescharacteristic
360#2325C2212yes—
361#2325C2211yescharacteristic
362#2325C2211yescharacteristic
363#2325C2211yescharacteristic
364#2325C2211yescharacteristic
365#2324C2212yes—
366#2317C2211yescharacteristic
367#2316C2211yescharacteristic
368#2316C2211yescharacteristic
369#2315C2211yescharacteristic
370#2315C2211yescharacteristic
371#2315C2211yescharacteristic
372#2313C2211yescharacteristic
373#2311C2211yescharacteristic
374C2×#385C2211yescharacteristic
375C2×#385C2211yescharacteristic
376#2280C2211yescharacteristic
377C2×#380C2211yescharacteristic
378#2273C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C24×C4C2311yescharacteristic
381#552—48no—
382#539—44no—
383#539—44no—
384C2×#126C2312yes—
385C2×#126C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#125C2312yes—
390C2×#125C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#125C2312yes—
394C2×#125C2312yes—
395C2×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402#525—44no—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2311yescharacteristic
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448C2×#120C2312yes—
449#520—44no—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×#117C2311yescharacteristic
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2311yescharacteristic
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2311yescharacteristic
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2311yescharacteristic
484C22×C4⋊C4C2311yescharacteristic
485C22×C22⋊C4C2311yescharacteristic
486C22×C22⋊C4C2311yescharacteristic
487C22×C22⋊C4C2311yescharacteristic
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2311yescharacteristic
491#401C2312yes—
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#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
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#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
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#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#386C2312yes—
948#386C2312yes—
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#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#384C2312yes—
1006#384C2312yes—
1007#384C2312yes—
1008#383C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2311yescharacteristic
1030#380C2311yescharacteristic
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2311yescharacteristic
1040#380C2312yes—
1041#380C2312yes—
1042#380C2311yescharacteristic
1043#380C2311yescharacteristic
1044#380C2311yescharacteristic
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#379C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊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—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2311yescharacteristic
1103C25C2411yescharacteristic
1104C2×#41—24no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×D4C2412yes—
1110C22×D4C2412yes—
1111C22×D4C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2411yescharacteristic
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C23×C4—42no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2411yescharacteristic
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2411yescharacteristic
1142C23×C4C2411yescharacteristic
1143C23×C4C2411yescharacteristic
1144C23×C4C2411yescharacteristic
1145C23×C4C2411yescharacteristic
1146C23×C4C2411yescharacteristic
1147C23×C4C2411yescharacteristic
1148C23×C4C2411yescharacteristic
1149C23×C4C2411yescharacteristic
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2411yescharacteristic
1157#126—44no—
1158#126—44no—
1159#126—44no—
1160#126—44no—
1161#126—82no—
1162#125—44no—
1163#125—44no—
1164#125—44no—
1165#125—44no—
1166#125—44no—
1167#125—44no—
1168#125—82no—
1169#125—82no—
1170#125—82no—
1171#125—82no—
1172#125—82no—
1173#124—44no—
1174#124—82no—
1175#123—28no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—82no—
1188#123—82no—
1189#123—82no—
1190#123—82no—
1191#123—82no—
1192C22⋊Q8—24no—
1193C22⋊Q8—24no—
1194C22⋊Q8—28no—
1195C22⋊Q8—28no—
1196C22⋊Q8—82no—
1197C22⋊Q8—82no—
1198#121—28no—
1199#121—42no—
1200#121—42no—
1201#121—42no—
1202#121—42no—
1203#121—44no—
1204#121—44no—
1205#121—44no—
1206#121—44no—
1207#121—42no—
1208#121—42no—
1209#121—44no—
1210#121—42no—
1211#121—42no—
1212#121—82no—
1213#121—82no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#120—44no—
1219#120—82no—
1220#120—82no—
1221C4×Q8—28no—
1222C4×Q8—82no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233C4×D4—44no—
1234C4×D4—82no—
1235C4×D4—82no—
1236C4×D4—82no—
1237C4×D4—82no—
1238C4×D4—82no—
1239C4×D4—82no—
1240#117—42no—
1241#117—44no—
1242#117—44no—
1243#117—44no—
1244#117—42no—
1245#117—42no—
1246#117—44no—
1247#117—82no—
1248C2×C4⋊C4—42no—
1249C2×C4⋊C4—42no—
1250C2×C4⋊C4—42no—
1251C2×C4⋊C4—44no—
1252C2×C4⋊C4—42no—
1253C2×C4⋊C4—42no—
1254C2×C4⋊C4—42no—
1255C2×C4⋊C4—44no—
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⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
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⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C22⋊C4—24no—
1350C2×C22⋊C4—42no—
1351C2×C22⋊C4—42no—
1352C2×C22⋊C4—42no—
1353C2×C22⋊C4—42no—
1354C2×C22⋊C4—42no—
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×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×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2412yes—
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
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—
1555#95C2412yes—
1556#95C2412yes—
1557C24—22no—
1558C24—22no—
1559C24—22no—
1560C24—41no—
1561C24—41no—
1562C24—41no—
1563C24—41no—
1564C24C2512yes—
1565C24C2512yes—
1566C24C2512yes—
1567C24C2511yescharacteristic
1568C24C2511yescharacteristic
1569C24C2511yescharacteristic
1570#41—416no—
1571C2×Q8—41no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8H(5,𝔽2)14yes—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—22no—
1588C2×D4—24no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—41no—
1593C2×D4—41no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—41no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—41no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C2×D4—41no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—22no—
1634C22×C4—22no—
1635C22×C4—22no—
1636C22×C4—22no—
1637C22×C4—22no—
1638C22×C4—24no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—22no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—22no—
1645C22×C4—22no—
1646C22×C4—41no—
1647C22×C4—41no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—41no—
1652C22×C4—41no—
1653C22×C4—41no—
1654C22×C4—41no—
1655C22×C4—41no—
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—41no—
1665C22×C4—41no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—41no—
1669C22×C4—41no—
1670C22×C4—41no—
1671C22×C4—41no—
1672C22×C4—41no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—41no—
1676C22×C4—41no—
1677C22×C4—41no—
1678C22×C4—41no—
1679C22×C4—41no—
1680C22×C4—41no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—41no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—41no—
1687C22×C4—41no—
1688C22×C4—41no—
1689C22×C4—41no—
1690C22×C4—41no—
1691C22×C4—41no—
1692C22×C4—41no—
1693C22×C4—42no—
1694C22×C4—41no—
1695C22×C4—41no—
1696C22×C4—41no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—41no—
1702C22×C4—41no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—42no—
1706C22×C4—41no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—88no—
1712C22×C42−1+414yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2511yescharacteristic
1716C22×C4C2511yescharacteristic
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2511yescharacteristic
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2511yescharacteristic
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—22no—
1750C4⋊C4—22no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—24no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—41no—
1772C4⋊C4—41no—
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—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—41no—
1789C4⋊C4—41no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—41no—
1795C4⋊C4—41no—
1796C4⋊C4—41no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
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—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
1848C22⋊C4—24no—
1849C22⋊C4—24no—
1850C22⋊C4—24no—
1851C22⋊C4—24no—
1852C22⋊C4—24no—
1853C22⋊C4—24no—
1854C22⋊C4—24no—
1855C22⋊C4—24no—
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⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
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—
1922C42—24no—
1923C42—24no—
1924C42—24no—
1925C42—42no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42—42no—
1944C42—42no—
1945C23—28no—
1946C23—21no—
1947C23—21no—
1948C23—21no—
1949C23—21no—
1950C23—21no—
1951C23—21no—
1952C23—21no—
1953C23—21no—
1954C23—21no—
1955C23—21no—
1956C23—21no—
1957C23—21no—
1958C23—21no—
1959C23—21no—
1960C23—21no—
1961C23—21no—
1962C23—21no—
1963C23—21no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23—22no—
1983C23—22no—
1984C23—22no—
1985C23—82no—
1986C23—82no—
1987C23—82no—
1988C23—82no—
1989C23—82no—
1990C23—82no—
1991C23C2×2−1+412yes—
1992C23#58512yes—
1993C23#58512yes—
1994C23C2611yescharacteristic
1995Q8—44no—
1996Q8—84no—
1997D4—48no—
1998D4—48no—
1999D4—44no—
2000D4—84no—
2001D4—84no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—84no—
2006D4—84no—
2007D4—84no—
2008D4—84no—
2009D4—84no—
2010D4—84no—
2011D4—161no—
2012D4—161no—
2013D4—162no—
2014D4—162no—
2015C2×C4—28no—
2016C2×C4—21no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—21no—
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—21no—
2037C2×C4—21no—
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—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—21no—
2073C2×C4—21no—
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—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—44no—
2100C2×C4—48no—
2101C2×C4—84no—
2102C2×C4—84no—
2103C2×C4—82no—
2104C2×C4—82no—
2105C2×C4—82no—
2106C2×C4—82no—
2107C2×C4—82no—
2108C2×C4—82no—
2109C2×C4—82no—
2110C2×C4—82no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—161no—
2114C2×C4—161no—
2115C2×C4—161no—
2116C2×C4—162no—
2117C2×C4—161no—
2118C2×C4—161no—
2119C2×C4—162no—
2120C2×C4—162no—
2121C2×C4—161no—
2122C2×C4—161no—
2123C2×C4—162no—
2124C2×C4—161no—
2125C2×C4C2×H(5,𝔽2)12yes—
2126C2×C4C2×H(5,𝔽2)14yes—
2127C2×C4C2×2−1+414yes—
2128C2×C4#58512yes—
2129C22—22no—
2130C22—22no—
2131C22—22no—
2132C22—22no—
2133C22—22no—
2134C22—22no—
2135C22—22no—
2136C22—22no—
2137C22—22no—
2138C22—41no—
2139C22—41no—
2140C22—41no—
2141C22—41no—
2142C22—41no—
2143C22—41no—
2144C22—41no—
2145C22—41no—
2146C22—41no—
2147C22—41no—
2148C22—41no—
2149C22—41no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22—42no—
2158C22—42no—
2159C22—42no—
2160C22—42no—
2161C22—42no—
2162C22—42no—
2163C22—42no—
2164C22—42no—
2165C22—42no—
2166C22—42no—
2167C22—42no—
2168C22—42no—
2169C22—42no—
2170C22—42no—
2171C22—88no—
2172C22C22×H(5,𝔽2)11yescharacteristic
2173C22C22×2−1+411yescharacteristic
2174C22C2×#58511yescharacteristic
2175C22C2×#58511yescharacteristic
2176C22C2×#58511yescharacteristic
2177C22H(7,𝔽2)11yescharacteristic
2178C22H(7,𝔽2)11yescharacteristic
2179C4—22no—
2180C4—22no—
2181C4—24no—
2182C4—24no—
2183C4—41no—
2184C4—41no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—42no—
2191C4—42no—
2192C4—42no—
2193C4—42no—
2194C4—42no—
2195C4—42no—
2196C4—42no—
2197C4—42no—
2198C4—42no—
2199C4—42no—
2200C4—42no—
2201C4—42no—
2202C4—42no—
2203C4—42no—
2204C4—42no—
2205C4—42no—
2206C4—42no—
2207C4—42no—
2208C2—42no—
2209C2—42no—
2210C2—42no—
2211C2—82no—
2212C2—82no—
2213C2—82no—
2214C2#6282011yescharacteristic
2215C2#6282511yescharacteristic
2216C2#6287011yescharacteristic
2217C2#6289911yescharacteristic
2218C2#6290211yescharacteristic
2219C2#6291011yescharacteristic
2220C2#6291711yescharacteristic
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. #58399C2semidirect
2. #56267C2semidirect
3. #55833C2semidirect
4. #55698C2semidirect
5. #54745C2semidirect
6. #54306C2semidirect
7. #51922C2semidirect
8. #51842C2semidirect
9. #50807C2semidirect
10. #49640C2semidirect
11. #49358C2semidirect
12. #49081C2semidirect
13. #48787C2semidirect
14. #48358C2semidirect
15. #48121C2semidirect
16. #46669C2semidirect
17. #46402C2semidirect
18. #45358C2semidirect
19. #43565C2semidirect
20. #43505C2semidirect
21. #43233C2semidirect
22. #42056C2semidirect
23. #41257C2semidirect
24. #41203C2semidirect
25. #40973C2semidirect
26. #40792C2semidirect
27. #37948C2semidirect
28. #37941C2semidirect
29. #37768C2semidirect
30. #37768C2semidirect
31. #36727C2semidirect
32. #35863C2semidirect
33. #35772C2semidirect
34. #35516C2semidirect
35. #35368C2semidirect
36. C2×#552C22semidirect
43. #2837C22semidirect
44. #2836C22semidirect
45. #2836C22semidirect
46. #2836C22semidirect
47. #2831C22semidirect
48. #2828C22semidirect
49. #2827C22semidirect
51. #2820C22semidirect
54. #2807C22semidirect
55. #2807C22semidirect
56. #2807C22semidirect
57. #2806C22semidirect
58. #2803C22semidirect
59. #2801C22semidirect
62. #2791C22semidirect
67. #2783C22semidirect
72. #2779C22semidirect
74. #2773C22semidirect
75. #2772C22semidirect
76. #2772C22semidirect
79. #2768C22semidirect
80. #2767C22semidirect
81. #2765C22semidirect
82. #2762C22semidirect
84. #2753C22semidirect
85. #2750C22semidirect
89. #2747C22semidirect
92. #2742C22semidirect
93. #2742C22semidirect
97. #2741C22semidirect
98. #2740C22semidirect
102. #2728C22semidirect
103. #2727C22semidirect
104. #2726C22semidirect
105. #2725C22semidirect
106. #2722C22semidirect
107. #2721C22semidirect
108. #2721C22semidirect
110. #2720C22semidirect
111. #2719C22semidirect
112. #2719C22semidirect
113. #2719C22semidirect
114. #2719C22semidirect
115. #2719C22semidirect
116. #2718C22semidirect
117. #2717C22semidirect
120. #2714C22semidirect
123. #2710C22semidirect
126. #2707C22semidirect
127. #2707C22semidirect
129. #2706C22semidirect
130. #2704C22semidirect
142. #2694C22semidirect
144. #2693C22semidirect
145. #2693C22semidirect
154. #2676C22semidirect
161. #2664C22semidirect
163. #2661C22semidirect
168. #2655C22semidirect
169. #2654C22semidirect
170. #2652C22semidirect
171. #2651C22semidirect
172. #2651C22semidirect
173. #2650C22semidirect
176. #2648C22semidirect
180. #2636C22semidirect
181. #2635C22semidirect
183. #2630C22semidirect
184. #2629C22semidirect
185. #2623C22semidirect
191. #2609C22semidirect
193. #2602C22semidirect
195. #2601C22semidirect
197. #2600C22semidirect
200. #2590C22semidirect
201. #2590C22semidirect
202. #2590C22semidirect
203. #2587C22semidirect
204. #2587C22semidirect
205. #2585C22semidirect
206. #2584C22semidirect
207. #2580C22semidirect
209. #2575C22semidirect
211. #2573C22semidirect
224. #2553C22semidirect
225. #2553C22semidirect
231. #2525C22semidirect
234. #2522C22semidirect
235. #2522C22semidirect
236. #2519C22semidirect
237. #2519C22semidirect
238. #2516C22semidirect
240. #2515C22semidirect
241. #2509C22semidirect
242. #2506C22semidirect
243. #2506C22semidirect
248. #2505C22semidirect
249. #2498C22semidirect
260. #2479C22semidirect
261. #2478C22semidirect
263. #2475C22semidirect
264. #2475C22semidirect
270. #2473C22semidirect
271. #2473C22semidirect
276. #2470C22semidirect
280. #2462C22semidirect
283. #2460C22semidirect
284. #2460C22semidirect
285. #2460C22semidirect
286. #2457C22semidirect
290. #2456C22semidirect
298. #2454C22semidirect
299. #2454C22semidirect
303. #2443C22semidirect
311. #2425C22semidirect
317. #2423C22semidirect
318. #2423C22semidirect
322. #2421C22semidirect
335. #2392C22semidirect
336. #2392C22semidirect
337. #2378C22semidirect
339. #2376C22semidirect
342. #2370C22semidirect
343. #2368C22semidirect
352. #2355C22semidirect
354. #2352C22semidirect
355. D4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#583992
#562672
#558332
#556982
#547452
#543062
#519222
#518422
#508072
#496402
#493582
#490812
#487872
#483582
#481212
#466692
#464022
#453582
#435652
#435052
#432332
#420562
#412572
#412032
#409732
#407922
#379482
#379412
#377682
#367272
#358632
#357722
#355162
#353682