Finite Group Databasebeta

← #7658718

Subgroups — #7658718

Order 512.

4674 conjugacy classes of subgroups.

The subgroup lattice has 2303 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42236C212yesmaximal, complemented
2#42230C212yesmaximal, complemented
3#42165C211yesmaximal, characteristic, complemented
4#42163C211yesmaximal, characteristic, complemented
5#42073C212yesmaximal, complemented
6#42069C212yesmaximal, complemented
7#42065C212yesmaximal, complemented
8#42061C212yesmaximal, complemented
9#42058C212yesmaximal, complemented
10#42057C212yesmaximal, complemented
11#42018C212yesmaximal, complemented
12#42017C212yesmaximal, complemented
13#41980C211yesmaximal, characteristic, complemented
14#41978C211yesmaximal, characteristic, complemented
15#41051C212yesmaximal, complemented
16#41046C212yesmaximal, complemented
17#41035C212yesmaximal, complemented
18#41030C212yesmaximal, complemented
19#40550C212yesmaximal, complemented
20#40549C212yesmaximal, complemented
21#37618C211yesmaximal, characteristic, complemented
22#37566C211yesmaximal, characteristic, complemented
23#37544C211yesmaximal, characteristic, complemented
24#37533C212yesmaximal, complemented
25#37529C212yesmaximal, complemented
26#37529C212yesmaximal, complemented
27#36687C211yesmaximal, characteristic, complemented
28#36677C212yesmaximal, complemented
29#36074C211yesmaximal, characteristic, complemented
30#35992C211yesmaximal, characteristic, complemented
31#35827C212yesmaximal, complemented
32#35754C211yesmaximal, characteristic, complemented
33#35733C212yesmaximal, complemented
34#35719C212yesmaximal, complemented
35#35684C211yesmaximal, characteristic, complemented
36#35684C212yesmaximal, complemented
37#34222C211yesmaximal, characteristic, complemented
38#34222C211yesmaximal, characteristic, complemented
39#34219C211yesmaximal, characteristic, complemented
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#529C2211yescharacteristic
43#2841C2212yes—
44#2841C2212yes—
45#2838C2212yes—
46#2838C2212yes—
47#2837C2212yes—
48#2837C2212yes—
49#2829C2212yes—
50#2829C2212yes—
51#2828C2212yes—
52#2828C2212yes—
53#2826C2212yes—
54#2825C2212yes—
55#2825C2212yes—
56#2824C2212yes—
57#2821C2211yescharacteristic
58#2821C2211yescharacteristic
59#2820C2212yes—
60#2819C2212yes—
61#2818C2211yescharacteristic
62#2818C2211yescharacteristic
63#2816C2212yes—
64#2815C2212yes—
65#2815C2212yes—
66#2815C2212yes—
67#2813C2211yescharacteristic
68#2813C2212yes—
69#2813C2211yescharacteristic
70#2813C2211yescharacteristic
71#2813C2211yescharacteristic
72#2813C2212yes—
73#2798C2212yes—
74#2798C2212yes—
75#2798C2212yes—
76#2797C2212yes—
77#2796C2212yes—
78#2789C2212yes—
79#2759C2212yes—
80#2758C2212yes—
81#2754C2212yes—
82#2754C2212yes—
83#2752C2212yes—
84#2751C2212yes—
85#2747C2212yes—
86#2746C2212yes—
87#2744C2212yes—
88#2741C2212yes—
89#2739C2212yes—
90#2737C2212yes—
91#2730C2212yes—
92#2730C2212yes—
93#2722C2212yes—
94#2717C2212yes—
95#2716C2212yes—
96#2716C2212yes—
97#2715C2212yes—
98#2712C2212yes—
99#2712C2212yes—
100#2712C2212yes—
101#2710C2212yes—
102#2710C2212yes—
103#2710C2212yes—
104#2709C2212yes—
105#2709C2212yes—
106#2705C2212yes—
107#2705C2212yes—
108#2703C2212yes—
109#2701C2212yes—
110#2700C2212yes—
111#2699C2212yes—
112#2691C2212yes—
113#2688C2212yes—
114#2686C2212yes—
115#2673C2212yes—
116#2673C2212yes—
117#2673C2212yes—
118#2673C2212yes—
119#2672C2212yes—
120#2671C2212yes—
121#2667C2212yes—
122#2666C2212yes—
123#2666C2212yes—
124#2666C2212yes—
125#2666C2212yes—
126#2665C2212yes—
127#2663C2212yes—
128#2663C2212yes—
129#2662C2212yes—
130#2662C2212yes—
131#2661C2212yes—
132#2661C2212yes—
133#2661C2212yes—
134#2661C2212yes—
135#2658C2211yescharacteristic
136#2657C2211yescharacteristic
137#2657C2212yes—
138#2654C2212yes—
139#2654C2212yes—
140#2652C2212yes—
141#2652C2212yes—
142#2651C2212yes—
143#2651C2212yes—
144#2650C2212yes—
145#2650C2212yes—
146#2649C2212yes—
147#2649C2212yes—
148#2648C2212yes—
149#2648C2212yes—
150#2648C2212yes—
151#2648C2212yes—
152#2642C2211yescharacteristic
153#2641C2211yescharacteristic
154#2640C2212yes—
155#2636C2212yes—
156#2636C2212yes—
157#2636C2212yes—
158#2636C2212yes—
159#2635C2212yes—
160#2635C2212yes—
161#2635C2212yes—
162#2635C2212yes—
163#2635C2212yes—
164#2635C2212yes—
165#2635C2212yes—
166#2631C2212yes—
167#2631C2212yes—
168#2631C2212yes—
169#2631C2211yescharacteristic
170#2631C2211yescharacteristic
171#2631C2211yescharacteristic
172#2631C2211yescharacteristic
173#2630C2212yes—
174#2630C2212yes—
175#2630C2212yes—
176#2630C2212yes—
177#2615C2212yes—
178#2615C2212yes—
179#2612C2212yes—
180#2612C2212yes—
181#2608C2212yes—
182#2607C2212yes—
183#2607C2212yes—
184#2607C2212yes—
185#2606C2211yescharacteristic
186#2606C2211yescharacteristic
187#2605C2211yescharacteristic
188#2605C2212yes—
189#2605C2211yescharacteristic
190#2602C2212yes—
191#2598C2212yes—
192#2598C2212yes—
193#2595C2212yes—
194#2589C2212yes—
195#2589C2212yes—
196#2588C2212yes—
197#2578C2212yes—
198#2578C2212yes—
199#2576C2212yes—
200#2574C2212yes—
201#2573C2212yes—
202#2573C2212yes—
203#2572C2212yes—
204#2569C2212yes—
205#2559C2212yes—
206#2557C2212yes—
207#2557C2212yes—
208#2557C2212yes—
209#2557C2212yes—
210#2555C2212yes—
211#2555C2212yes—
212#2555C2212yes—
213#2554C2212yes—
214#2554C2212yes—
215#2553C2212yes—
216#2553C2212yes—
217#2553C2212yes—
218#2547C2212yes—
219#2545C2211yescharacteristic
220#2545C2211yescharacteristic
221#2544C2212yes—
222#2544C2211yescharacteristic
223#2544C2211yescharacteristic
224#2543C2212yes—
225#2541C2212yes—
226#2535C2212yes—
227#2535C2212yes—
228#2531C2212yes—
229#2531C2212yes—
230#2527C2212yes—
231#2526C2212yes—
232#2525C2212yes—
233#2525C2212yes—
234#2523C2212yes—
235#2522C2212yes—
236#2521C2212yes—
237#2521C2212yes—
238#2521C2212yes—
239#2521C2212yes—
240#2518C2212yes—
241#2518C2212yes—
242#2516C2212yes—
243#2516C2212yes—
244#2516C2212yes—
245#2516C2212yes—
246#2515C2212yes—
247#2515C2212yes—
248#2510C2212yes—
249#2510C2212yes—
250#2492C2212yes—
251#2488C2212yes—
252#2476C2212yes—
253#2474C2212yes—
254#2471C2212yes—
255#2471C2212yes—
256#2467C2212yes—
257#2467C2212yes—
258#2467C2212yes—
259#2467C2212yes—
260#2467C2212yes—
261#2467C2212yes—
262#2464C2212yes—
263#2464C2212yes—
264#2464C2212yes—
265#2464C2212yes—
266#2464C2212yes—
267#2463C2212yes—
268#2461C2212yes—
269#2461C2212yes—
270#2459C2212yes—
271#2459C2212yes—
272#2459C2212yes—
273#2459C2212yes—
274#2459C2212yes—
275#2459C2212yes—
276#2459C2212yes—
277#2457C2212yes—
278#2457C2212yes—
279#2457C2212yes—
280#2457C2212yes—
281#2456C2212yes—
282#2456C2212yes—
283#2456C2212yes—
284#2456C2212yes—
285#2456C2212yes—
286#2456C2212yes—
287#2455C2212yes—
288#2445C2212yes—
289#2444C2212yes—
290#2444C2212yes—
291#2444C2212yes—
292#2439C2212yes—
293#2438C2212yes—
294#2432C2211yescharacteristic
295#2432C2211yescharacteristic
296#2431C2211yescharacteristic
297#2431C2212yes—
298#2431C2212yes—
299#2431C2211yescharacteristic
300#2431C2212yes—
301#2431C2212yes—
302#2430C2212yes—
303#2428C2212yes—
304#2428C2212yes—
305#2427C2212yes—
306#2425C2212yes—
307#2425C2212yes—
308#2425C2212yes—
309#2420C2212yes—
310#2419C2212yes—
311#2401C2212yes—
312#2401C2212yes—
313#2398C2211yescharacteristic
314#2398C2211yescharacteristic
315#2397C2212yes—
316#2397C2211yescharacteristic
317#2397C2211yescharacteristic
318#2395C2212yes—
319#2395C2212yes—
320#2392C2212yes—
321#2392C2212yes—
322#2392C2212yes—
323#2392C2212yes—
324#2392C2212yes—
325#2392C2212yes—
326#2388C2212yes—
327#2388C2212yes—
328#2388C2212yes—
329#2388C2212yes—
330#2388C2212yes—
331#2374C2212yes—
332#2373C2212yes—
333#2373C2212yes—
334#2372C2212yes—
335#2372C2212yes—
336#2372C2212yes—
337#2372C2211yescharacteristic
338#2372C2212yes—
339#2372C2211yescharacteristic
340#2372C2211yescharacteristic
341#2372C2211yescharacteristic
342#2371C2212yes—
343#2364C2212yes—
344#2364C2212yes—
345#2364C2212yes—
346#2364C2212yes—
347#2364C2212yes—
348#2364C2212yes—
349#2363C2212yes—
350#2359C2212yes—
351#2356C2211yescharacteristic
352#2356C2211yescharacteristic
353#2353C2212yes—
354#2353C2212yes—
355#2353C2212yes—
356#2353C2211yescharacteristic
357#2353C2212yes—
358#2353C2212yes—
359#2353C2211yescharacteristic
360#2346C2211yescharacteristic
361#2346C2211yescharacteristic
362#2343C2211yescharacteristic
363#2343C2211yescharacteristic
364#2339C2212yes—
365#2339C2212yes—
366#2339C2212yes—
367#2339C2212yes—
368#2339C2212yes—
369#2331C2212yes—
370#2331C2212yes—
371#2329C2212yes—
372#2328C2212yes—
373#2328C2212yes—
374#2325C2212yes—
375#2319C2212yes—
376#2319C2211yescharacteristic
377#2319C2211yescharacteristic
378#2318C2211yescharacteristic
379#2318C2211yescharacteristic
380C4×#123C2212yes—
381C4×#123C2212yes—
382C4×#121C2212yes—
383C4×#121C2212yes—
384C4×#121C2212yes—
385C4×#121C2212yes—
386#2283C2211yescharacteristic
387#2283C2211yescharacteristic
388#2283C2211yescharacteristic
389#2275C2211yescharacteristic
390#2275C2211yescharacteristic
391#2275C2211yescharacteristic
392#2275C2212yes—
393#2275C2211yescharacteristic
394C2×#376C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2312yes—
398C22×#41C2312yes—
399#532—28no—
400#532—28no—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×#127C2311yescharacteristic
406C2×#127C2311yescharacteristic
407C2×#127C2311yescharacteristic
408C2×#127C2311yescharacteristic
409C2×#127C2312yes—
410C2×#127C2312yes—
411#529—28no—
412C2×#126C2311yescharacteristic
413C2×#126C2311yescharacteristic
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#125C2311yescharacteristic
419C2×#124C2311yescharacteristic
420C2×#124C2312yes—
421C2×#124C2311yescharacteristic
422C2×#124C2311yescharacteristic
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2311yescharacteristic
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#123C2311yescharacteristic
435C2×#123C2311yescharacteristic
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×C22⋊Q8C2311yescharacteristic
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2312yes—
504C22×C42C2312yes—
505C22×C42C2311yescharacteristic
506#401C2312yes—
507#401C2312yes—
508#400C2311yescharacteristic
509#400C2311yescharacteristic
510#400C2311yescharacteristic
511#400C2311yescharacteristic
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2311yescharacteristic
536#399C2311yescharacteristic
537#399C2311yescharacteristic
538#399C2311yescharacteristic
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
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#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#397C2312yes—
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#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2311yescharacteristic
642#394C2311yescharacteristic
643#394C2311yescharacteristic
644#394C2311yescharacteristic
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#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#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2311yescharacteristic
709#392C2311yescharacteristic
710#392C2312yes—
711#392C2312yes—
712#392C2311yescharacteristic
713#392C2311yescharacteristic
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#392C2312yes—
742#392C2312yes—
743#392C2312yes—
744#392C2312yes—
745#392C2312yes—
746#392C2312yes—
747#392C2312yes—
748#392C2312yes—
749#392C2312yes—
750#392C2312yes—
751#392C2312yes—
752#392C2312yes—
753#392C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2312yes—
765#391C2312yes—
766#391C2312yes—
767#391C2311yescharacteristic
768#391C2312yes—
769#391C2312yes—
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#391C2311yescharacteristic
775#391C2312yes—
776#391C2311yescharacteristic
777#391C2311yescharacteristic
778#390C2312yes—
779#390C2312yes—
780#390C2312yes—
781#390C2312yes—
782#390C2312yes—
783#390C2311yescharacteristic
784#390C2312yes—
785#390C2312yes—
786#390C2312yes—
787#390C2312yes—
788#390C2312yes—
789#390C2311yescharacteristic
790#390C2311yescharacteristic
791#390C2311yescharacteristic
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2312yes—
797#390C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#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#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#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#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#383C2311yescharacteristic
1011#383C2311yescharacteristic
1012#383C2311yescharacteristic
1013#383C2312yes—
1014#383C2312yes—
1015#383C2311yescharacteristic
1016#383C2312yes—
1017#383C2311yescharacteristic
1018#383C2311yescharacteristic
1019#383C2312yes—
1020#382C2312yes—
1021#382C2311yescharacteristic
1022#382C2311yescharacteristic
1023#382C2312yes—
1024#382C2312yes—
1025#382C2311yescharacteristic
1026#382C2311yescharacteristic
1027#382C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2311yescharacteristic
1033#381C2311yescharacteristic
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2311yescharacteristic
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2311yescharacteristic
1064C4×C4⋊C4C2311yescharacteristic
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2311yescharacteristic
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2311yescharacteristic
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—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2311yescharacteristic
1102C4×C22⋊C4C2311yescharacteristic
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2311yescharacteristic
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122#376C2311yescharacteristic
1123#376C2311yescharacteristic
1124#376C2312yes—
1125#376C2312yes—
1126#376C2311yescharacteristic
1127#376C2311yescharacteristic
1128#376C2311yescharacteristic
1129#376C2311yescharacteristic
1130#376C2312yes—
1131#376C2311yescharacteristic
1132#376C2311yescharacteristic
1133#376C2312yes—
1134#376C2311yescharacteristic
1135#376C2311yescharacteristic
1136C2×#95C2312yes—
1137C2×#95C2311yescharacteristic
1138C2×#95C2312yes—
1139C2×#95C2311yescharacteristic
1140C2×#95C2312yes—
1141C2×#95C2311yescharacteristic
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2311yescharacteristic
1145C2×#41—28no—
1146C2×#41—24no—
1147C2×#41—24no—
1148C2×#41—44no—
1149C2×#41—82no—
1150C2×#41—82no—
1151C2×#41—81no—
1152C2×#41—81no—
1153C2×#41—81no—
1154C2×#41—81no—
1155C2×#41—82no—
1156C2×#41—82no—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×D4C2411yescharacteristic
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2411yescharacteristic
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2411yescharacteristic
1174C22×D4C2412yes—
1175C22×D4C2411yescharacteristic
1176C22×D4C2411yescharacteristic
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C22×D4C2412yes—
1187C22×D4C2412yes—
1188C22×D4C2412yes—
1189C22×D4C2412yes—
1190C22×D4C2412yes—
1191C22×D4C2412yes—
1192C22×D4C2412yes—
1193C22×D4C2412yes—
1194C23×C4C2411yescharacteristic
1195C23×C4C2411yescharacteristic
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2412yes—
1203C23×C4C2412yes—
1204C23×C4C2412yes—
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C23×C4C2412yes—
1208C23×C4C2412yes—
1209C23×C4C2412yes—
1210C23×C4C2412yes—
1211C23×C4C2412yes—
1212C23×C4C2411yescharacteristic
1213C23×C4C2411yescharacteristic
1214C23×C4C2411yescharacteristic
1215C4⋊Q8—24no—
1216C4⋊Q8—24no—
1217C4⋊Q8—81no—
1218C4⋊Q8—81no—
1219#127—24no—
1220#127—24no—
1221#127—82no—
1222#127—81no—
1223#127—82no—
1224#127—81no—
1225#126—24no—
1226#126—24no—
1227#126—82no—
1228#126—82no—
1229#126—82no—
1230#126—82no—
1231#125—24no—
1232#124—24no—
1233#124—24no—
1234#124—24no—
1235#124—28no—
1236#124—44no—
1237#124—82no—
1238#124—82no—
1239#124—82no—
1240#124—82no—
1241#124—82no—
1242#124—81no—
1243#124—82no—
1244#124—81no—
1245#124—81no—
1246#124—81no—
1247#123—24no—
1248#123—24no—
1249#123—44no—
1250#123—44no—
1251#123—82no—
1252#123—82no—
1253#123—82no—
1254#123—82no—
1255#123—82no—
1256#123—82no—
1257#123—82no—
1258#123—82no—
1259C22⋊Q8—24no—
1260C22⋊Q8—82no—
1261C22⋊Q8—82no—
1262#121—24no—
1263#121—28no—
1264#121—24no—
1265#121—24no—
1266#121—28no—
1267#121—28no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—82no—
1272#121—82no—
1273#121—82no—
1274#121—82no—
1275#121—82no—
1276#121—82no—
1277#121—82no—
1278#121—82no—
1279#121—82no—
1280#121—82no—
1281C4×Q8—24no—
1282C4×D4—24no—
1283C4×D4—24no—
1284C4×D4—24no—
1285C4×D4—28no—
1286C4×D4—28no—
1287C4×D4—24no—
1288C4×D4—24no—
1289C4×D4—28no—
1290C4×D4—44no—
1291C4×D4—44no—
1292C4×D4—44no—
1293C4×D4—44no—
1294C4×D4—44no—
1295C4×D4—44no—
1296C4×D4—44no—
1297C4×D4—82no—
1298C4×D4—82no—
1299C4×D4—82no—
1300C4×D4—82no—
1301C4×D4—82no—
1302C4×D4—82no—
1303C4×D4—82no—
1304C4×D4—82no—
1305C4×D4—82no—
1306C4×D4—82no—
1307C4×D4—82no—
1308C4×D4—82no—
1309C4×D4—82no—
1310C4×D4—82no—
1311C4×D4—82no—
1312C4×D4—82no—
1313#117—24no—
1314#117—24no—
1315#117—82no—
1316#117—82no—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C22⋊C4C2411yescharacteristic
1379C2×C22⋊C4C2411yescharacteristic
1380C2×C22⋊C4C2411yescharacteristic
1381C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2411yescharacteristic
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2411yescharacteristic
1398C2×C22⋊C4C2411yescharacteristic
1399C2×C22⋊C4C2411yescharacteristic
1400C2×C22⋊C4C2411yescharacteristic
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C42—44no—
1481C2×C42#4118yescomplemented
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2412yes—
1505C2×C42C2412yes—
1506C2×C42C2411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2411yescharacteristic
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514#95C2411yescharacteristic
1515#95C2411yescharacteristic
1516#95C2412yes—
1517#95C2411yescharacteristic
1518#95C2411yescharacteristic
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#95C2411yescharacteristic
1533#95C2411yescharacteristic
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2411yescharacteristic
1542#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
1546#95C2411yescharacteristic
1547#95C2411yescharacteristic
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616C24C2511yescharacteristic
1617C24C2511yescharacteristic
1618C24C2512yes—
1619C24C2512yes—
1620C24C2512yes—
1621C24C2512yes—
1622C24C2511yescharacteristic
1623#41—816no—
1624#41—88no—
1625#41—88no—
1626#41—816no—
1627C2×Q8—22no—
1628C2×Q8—22no—
1629C2×Q8—22no—
1630C2×Q8—24no—
1631C2×Q8—41no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8—41no—
1636C2×Q8—41no—
1637C2×Q8—42no—
1638C2×Q8—42no—
1639C2×Q8—41no—
1640C2×Q8—41no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×D4—22no—
1646C2×D4—22no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—24no—
1651C2×D4—24no—
1652C2×D4—22no—
1653C2×D4—22no—
1654C2×D4—22no—
1655C2×D4—24no—
1656C2×D4—24no—
1657C2×D4—22no—
1658C2×D4—22no—
1659C2×D4—24no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—41no—
1703C2×D4—41no—
1704C2×D4—42no—
1705C2×D4—41no—
1706C2×D4—41no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—41no—
1711C2×D4—41no—
1712C2×D4—42no—
1713C2×D4—42no—
1714C2×D4—42no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—42no—
1720C2×D4—42no—
1721C2×D4—42no—
1722C2×D4—42no—
1723C2×D4—42no—
1724C2×D4—42no—
1725C2×D4—42no—
1726C2×D4—42no—
1727C2×D4—42no—
1728C2×D4—42no—
1729C2×D4—42no—
1730C2×D4—42no—
1731C2×D4—42no—
1732C2×D4—42no—
1733C2×D4—42no—
1734C22×C4—22no—
1735C22×C4—22no—
1736C22×C4—24no—
1737C22×C4—24no—
1738C22×C4—24no—
1739C22×C4—24no—
1740C22×C4—24no—
1741C22×C4—24no—
1742C22×C4—24no—
1743C22×C4—24no—
1744C22×C4—24no—
1745C22×C4—24no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—41no—
1749C22×C4—41no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—42no—
1769C22×C4—42no—
1770C22×C4—42no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—42no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4—42no—
1781C22×C4—42no—
1782C22×C4—42no—
1783C22×C4—42no—
1784C22×C4—42no—
1785C22×C4—42no—
1786C22×C4—42no—
1787C22×C4—42no—
1788C22×C4—42no—
1789C22×C4—42no—
1790C22×C4C2×#4114yes—
1791C22×C4C2×#4114yes—
1792C22×C4C2×#4114yes—
1793C22×C4C2512yes—
1794C22×C4C2512yes—
1795C22×C4C2512yes—
1796C22×C4C2512yes—
1797C22×C4C2511yescharacteristic
1798C22×C4C2511yescharacteristic
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2512yes—
1802C22×C4C2512yes—
1803C22×C4C2512yes—
1804C22×C4C2512yes—
1805C22×C4C2512yes—
1806C22×C4C2512yes—
1807C22×C4C2512yes—
1808C22×C4C2512yes—
1809C22×C4C2512yes—
1810C22×C4C2512yes—
1811C22×C4C2512yes—
1812C22×C4C2512yes—
1813C22×C4C2511yescharacteristic
1814C22×C4C2511yescharacteristic
1815C22×C4C2511yescharacteristic
1816C22×C4C2511yescharacteristic
1817C22×C4C2512yes—
1818C22×C4C2511yescharacteristic
1819C22×C4C2511yescharacteristic
1820C22×C4C2511yescharacteristic
1821C22×C4C2511yescharacteristic
1822C22×C4C2511yescharacteristic
1823C22×C4C2511yescharacteristic
1824C22×C4C2512yes—
1825C4⋊C4—22no—
1826C4⋊C4—22no—
1827C4⋊C4—22no—
1828C4⋊C4—22no—
1829C4⋊C4—24no—
1830C4⋊C4—22no—
1831C4⋊C4—22no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—22no—
1835C4⋊C4—22no—
1836C4⋊C4—22no—
1837C4⋊C4—22no—
1838C4⋊C4—22no—
1839C4⋊C4—22no—
1840C4⋊C4—24no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C22⋊C4—22no—
1887C22⋊C4—22no—
1888C22⋊C4—22no—
1889C22⋊C4—22no—
1890C22⋊C4—22no—
1891C22⋊C4—22no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—22no—
1901C22⋊C4—22no—
1902C22⋊C4—22no—
1903C22⋊C4—22no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—24no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—42no—
1987C22⋊C4—42no—
1988C42—22no—
1989C42—22no—
1990C42—24no—
1991C42—24no—
1992C42—24no—
1993C42—42no—
1994C42—42no—
1995C42—42no—
1996C42—42no—
1997C42—42no—
1998C42—42no—
1999C42—42no—
2000C42—42no—
2001C42—42no—
2002C42—42no—
2003C42—42no—
2004C42—42no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—42no—
2012C42—41no—
2013C42—41no—
2014C42—41no—
2015C42—41no—
2016C42C2×#4114yes—
2017C42C2×#4114yes—
2018C42C2×#4114yes—
2019C42C2×#4114yes—
2020C23—22no—
2021C23—21no—
2022C23—22no—
2023C23—21no—
2024C23—21no—
2025C23—21no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23—21no—
2045C23—21no—
2046C23—22no—
2047C23—22no—
2048C23—22no—
2049C23—22no—
2050C23—22no—
2051C23—22no—
2052C23—22no—
2053C23—21no—
2054C23—22no—
2055C23—22no—
2056C23—21no—
2057C23—22no—
2058C23—22no—
2059C23—22no—
2060C23—22no—
2061C23—22no—
2062C23C22×#4112yes—
2063C23C2611yescharacteristic
2064Q8—82no—
2065Q8—84no—
2066Q8—82no—
2067Q8—82no—
2068Q8—84no—
2069Q8—162no—
2070D4—44no—
2071D4—48no—
2072D4—44no—
2073D4—44no—
2074D4—44no—
2075D4—48no—
2076D4—48no—
2077D4—48no—
2078D4—48no—
2079D4—48no—
2080D4—84no—
2081D4—84no—
2082D4—82no—
2083D4—84no—
2084D4—82no—
2085D4—82no—
2086D4—84no—
2087D4—84no—
2088D4—84no—
2089D4—84no—
2090D4—84no—
2091D4—84no—
2092D4—84no—
2093D4—84no—
2094D4—84no—
2095D4—162no—
2096D4—162no—
2097D4—162no—
2098D4—162no—
2099D4—162no—
2100D4—162no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—21no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—21no—
2111C2×C4—21no—
2112C2×C4—21no—
2113C2×C4—21no—
2114C2×C4—21no—
2115C2×C4—21no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—21no—
2139C2×C4—21no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—22no—
2169C2×C4—22no—
2170C2×C4—22no—
2171C2×C4—22no—
2172C2×C4—22no—
2173C2×C4—22no—
2174C2×C4—22no—
2175C2×C4—22no—
2176C2×C4—21no—
2177C2×C4—21no—
2178C2×C4—22no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—22no—
2182C2×C4—44no—
2183C2×C4—44no—
2184C2×C4—44no—
2185C2×C4—84no—
2186C2×C4—84no—
2187C2×C4—84no—
2188C2×C4—82no—
2189C2×C4—82no—
2190C2×C4—84no—
2191C2×C4—84no—
2192C2×C4—84no—
2193C2×C4—84no—
2194C2×C4—84no—
2195C2×C4—84no—
2196C2×C4—84no—
2197C2×C4—84no—
2198C2×C4—162no—
2199C2×C4—162no—
2200C2×C4—162no—
2201C2×C4—162no—
2202C2×C4—162no—
2203C2×C4C22×#4112yes—
2204C2×C4C22×#4112yes—
2205C2×C4C22×#4112yes—
2206C2×C4C22×#4112yes—
2207C2×C4C22×#4112yes—
2208C2×C4C22×#4112yes—
2209C2×C4#58514yes—
2210C22—22no—
2211C22—22no—
2212C22—22no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22—42no—
2225C22—42no—
2226C22—42no—
2227C22—42no—
2228C22—42no—
2229C22—42no—
2230C22—42no—
2231C22—42no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—42no—
2236C22—42no—
2237C22—42no—
2238C22—42no—
2239C22—41no—
2240C22—41no—
2241C22—41no—
2242C22—41no—
2243C22—42no—
2244C22—42no—
2245C22—42no—
2246C22—42no—
2247C22—42no—
2248C22—42no—
2249C22—42no—
2250C22—42no—
2251C22—41no—
2252C22—41no—
2253C22C23×#4111yescharacteristic
2254C22C2×#58512yes—
2255C22H(7,𝔽2)11yescharacteristic
2256C22H(7,𝔽2)12yes—
2257C22H(7,𝔽2)11yescharacteristic
2258C4—24no—
2259C4—22no—
2260C4—22no—
2261C4—22no—
2262C4—22no—
2263C4—22no—
2264C4—22no—
2265C4—42no—
2266C4—42no—
2267C4—42no—
2268C4—42no—
2269C4—42no—
2270C4—42no—
2271C4—42no—
2272C4—42no—
2273C4—42no—
2274C4—42no—
2275C4—42no—
2276C4—42no—
2277C4—42no—
2278C4—42no—
2279C4—42no—
2280C4—41no—
2281C4—41no—
2282C4—42no—
2283C4—42no—
2284C4—42no—
2285C4—42no—
2286C4—41no—
2287C4—41no—
2288C4—41no—
2289C4—41no—
2290C2—42no—
2291C2—81no—
2292C2—82no—
2293C2—82no—
2294C2—82no—
2295C2—81no—
2296C2—82no—
2297C2#6268611yescharacteristic
2298C2#6285511yescharacteristic
2299C2#6285511yescharacteristic
2300C2#6304212yes—
2301C2#6305112yes—
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. #42236C2semidirect
2. #42230C2semidirect
3. #42165C2semidirect
4. #42163C2semidirect
5. #42073C2semidirect
6. #42069C2semidirect
7. #42065C2semidirect
8. #42061C2semidirect
9. #42058C2semidirect
10. #42057C2semidirect
11. #42018C2semidirect
12. #42017C2semidirect
13. #41980C2semidirect
14. #41978C2semidirect
15. #41051C2semidirect
16. #41046C2semidirect
17. #41035C2semidirect
18. #41030C2semidirect
19. #40550C2semidirect
20. #40549C2semidirect
21. #37618C2semidirect
22. #37566C2semidirect
23. #37544C2semidirect
24. #37533C2semidirect
25. #37529C2semidirect
26. #37529C2semidirect
27. #36687C2semidirect
28. #36677C2semidirect
29. #36074C2semidirect
30. #35992C2semidirect
31. #35827C2semidirect
32. #35754C2semidirect
33. #35733C2semidirect
34. #35719C2semidirect
35. #35684C2semidirect
36. #35684C2semidirect
37. #34222C2semidirect
38. #34222C2semidirect
39. #34219C2semidirect
1481. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#422362
#422302
#421652
#421632
#420732
#420692
#420652
#420612
#420582
#420572
#420182
#420172
#419802
#419782
#410512
#410462
#410352
#410302
#405502
#405492
#376182
#375662
#375442
#375332
#375292
#366872
#366772
#360742
#359922
#358272
#357542
#357332
#357192
#356842
#342222
#342192