Finite Group Databasebeta

← #7655428

Subgroups — #7655428

Order 512.

4934 conjugacy classes of subgroups.

The subgroup lattice has 2175 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41684C212yesmaximal, complemented
2#41680C212yesmaximal, complemented
3#41013C212yesmaximal, complemented
4#41009C212yesmaximal, complemented
5#40670C212yesmaximal, complemented
6#40666C212yesmaximal, complemented
7#40346C212yesmaximal, complemented
8#40342C212yesmaximal, complemented
9#40319C212yesmaximal, complemented
10#40306C212yesmaximal, complemented
11#38730C212yesmaximal, complemented
12#38726C212yesmaximal, complemented
13#38723C212yesmaximal, complemented
14#38702C212yesmaximal, complemented
15#38488C212yesmaximal, complemented
16#38486C212yesmaximal, complemented
17#38483C212yesmaximal, complemented
18#38480C212yesmaximal, complemented
19#37568C212yesmaximal, complemented
20#37556C211yesmaximal, characteristic, complemented
21#36396C212yesmaximal, complemented
22#36374C212yesmaximal, complemented
23#36321C212yesmaximal, complemented
24#36225C212yesmaximal, complemented
25#35964C212yesmaximal, complemented
26#35929C212yesmaximal, complemented
27#35303C211yesmaximal, characteristic, complemented
28#35234C211yesmaximal, characteristic, complemented
29#35127C212yesmaximal, complemented
30#35106C212yesmaximal, complemented
31#34861C212yesmaximal, complemented
32C2×#2605C211yesmaximal, characteristic, complemented
33#34234C211yesmaximal, characteristic, complemented
34#34149C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#548C2212yes—
38C2×#532C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43#2866C2212yes—
44#2861C2212yes—
45#2856C2212yes—
46#2855C2212yes—
47#2854C2212yes—
48#2854C2212yes—
49#2853C2212yes—
50#2852C2212yes—
51#2852C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2850C2212yes—
55#2838C2212yes—
56#2836C2212yes—
57#2830C2212yes—
58#2828C2212yes—
59#2821C2212yes—
60#2818C2212yes—
61#2808C2212yes—
62#2806C2212yes—
63#2804C2212yes—
64#2803C2212yes—
65#2800C2212yes—
66#2799C2212yes—
67#2797C2212yes—
68#2797C2212yes—
69#2793C2212yes—
70#2791C2212yes—
71#2786C2212yes—
72#2775C2212yes—
73#2775C2212yes—
74#2774C2212yes—
75#2773C2212yes—
76#2763C2212yes—
77#2762C2212yes—
78#2759C2212yes—
79#2759C2212yes—
80#2759C2212yes—
81#2759C2212yes—
82#2754C2212yes—
83#2753C2212yes—
84#2752C2212yes—
85#2751C2212yes—
86#2751C2212yes—
87#2749C2212yes—
88#2745C2212yes—
89#2743C2212yes—
90#2741C2212yes—
91#2740C2212yes—
92#2738C2212yes—
93#2737C2212yes—
94#2733C2212yes—
95#2730C2212yes—
96#2717C2212yes—
97#2714C2212yes—
98#2712C2212yes—
99#2710C2212yes—
100#2710C2212yes—
101#2709C2212yes—
102#2703C2212yes—
103#2700C2212yes—
104#2700C2212yes—
105#2698C2212yes—
106#2692C2212yes—
107#2688C2212yes—
108#2673C2212yes—
109#2666C2212yes—
110#2664C2212yes—
111#2663C2212yes—
112#2662C2212yes—
113#2662C2212yes—
114#2662C2212yes—
115#2660C2211yescharacteristic
116#2657C2211yescharacteristic
117#2656C2212yes—
118#2655C2212yes—
119#2654C2212yes—
120#2653C2212yes—
121#2653C2212yes—
122#2653C2212yes—
123#2652C2212yes—
124#2651C2212yes—
125#2650C2212yes—
126#2650C2212yes—
127#2649C2212yes—
128#2648C2212yes—
129#2648C2212yes—
130#2648C2212yes—
131#2648C2212yes—
132#2641C2211yescharacteristic
133#2640C2211yescharacteristic
134#2639C2212yes—
135#2638C2212yes—
136#2635C2212yes—
137#2633C2212yes—
138#2632C2211yescharacteristic
139#2632C2211yescharacteristic
140#2631C2212yes—
141#2631C2211yescharacteristic
142#2631C2211yescharacteristic
143#2610C2212yes—
144#2610C2212yes—
145#2610C2212yes—
146#2605C2211yescharacteristic
147#2605C2211yescharacteristic
148#2605C2212yes—
149#2605C2212yes—
150#2605C2212yes—
151#2605C2211yescharacteristic
152#2605C2212yes—
153#2605C2212yes—
154#2605C2212yes—
155#2605C2211yescharacteristic
156#2604C2212yes—
157#2604C2212yes—
158#2603C2212yes—
159#2603C2212yes—
160#2602C2212yes—
161#2601C2212yes—
162#2601C2212yes—
163#2600C2212yes—
164#2599C2212yes—
165#2598C2212yes—
166#2598C2212yes—
167#2597C2212yes—
168#2597C2212yes—
169#2596C2212yes—
170#2595C2212yes—
171#2595C2212yes—
172#2594C2212yes—
173#2593C2212yes—
174#2592C2212yes—
175#2592C2211yescharacteristic
176#2591C2212yes—
177#2589C2212yes—
178#2589C2212yes—
179#2588C2212yes—
180#2584C2211yescharacteristic
181#2581C2212yes—
182#2579C2212yes—
183#2578C2212yes—
184#2578C2212yes—
185#2578C2212yes—
186#2576C2212yes—
187#2575C2212yes—
188#2573C2212yes—
189#2565C2212yes—
190#2564C2212yes—
191#2564C2212yes—
192#2562C2211yescharacteristic
193#2560C2212yes—
194#2560C2212yes—
195#2560C2212yes—
196#2560C2212yes—
197#2557C2212yes—
198#2557C2212yes—
199#2557C2212yes—
200#2557C2212yes—
201#2557C2212yes—
202#2557C2212yes—
203#2556C2212yes—
204#2556C2212yes—
205#2555C2212yes—
206#2555C2212yes—
207#2544C2212yes—
208#2543C2212yes—
209#2543C2212yes—
210#2543C2212yes—
211#2543C2212yes—
212#2543C2212yes—
213#2543C2212yes—
214#2543C2212yes—
215#2543C2212yes—
216#2543C2212yes—
217#2540C2211yescharacteristic
218#2532C2212yes—
219#2532C2212yes—
220#2531C2212yes—
221#2530C2212yes—
222#2527C2212yes—
223#2527C2212yes—
224#2527C2212yes—
225#2526C2212yes—
226#2524C2212yes—
227#2524C2212yes—
228#2521C2212yes—
229#2521C2212yes—
230#2521C2212yes—
231#2520C2212yes—
232#2517C2212yes—
233#2516C2212yes—
234#2510C2212yes—
235#2510C2212yes—
236#2510C2212yes—
237#2510C2212yes—
238#2504C2212yes—
239#2499C2212yes—
240#2488C2212yes—
241#2481C2212yes—
242#2478C2212yes—
243#2477C2212yes—
244#2477C2212yes—
245#2477C2212yes—
246#2477C2212yes—
247#2476C2212yes—
248#2476C2212yes—
249#2475C2212yes—
250#2474C2212yes—
251#2474C2212yes—
252#2474C2212yes—
253#2471C2212yes—
254#2471C2212yes—
255#2471C2212yes—
256#2466C2212yes—
257#2465C2212yes—
258#2465C2212yes—
259#2462C2212yes—
260#2461C2212yes—
261#2461C2212yes—
262#2461C2212yes—
263#2459C2212yes—
264#2459C2212yes—
265#2459C2212yes—
266#2458C2212yes—
267#2457C2212yes—
268#2457C2212yes—
269#2456C2212yes—
270#2444C2212yes—
271#2444C2212yes—
272#2444C2212yes—
273#2444C2212yes—
274#2444C2212yes—
275#2443C2212yes—
276#2443C2212yes—
277#2443C2212yes—
278#2436C2212yes—
279#2436C2212yes—
280#2431C2212yes—
281#2430C2212yes—
282#2430C2212yes—
283#2430C2212yes—
284#2430C2212yes—
285#2430C2212yes—
286#2417C2212yes—
287#2416C2212yes—
288#2416C2212yes—
289#2416C2212yes—
290#2415C2212yes—
291#2409C2212yes—
292#2407C2212yes—
293#2401C2212yes—
294#2396C2212yes—
295#2395C2212yes—
296C2×#400C2212yes—
297#2388C2212yes—
298C2×#395C2212yes—
299#2373C2212yes—
300#2373C2212yes—
301#2372C2212yes—
302#2371C2212yes—
303#2368C2211yescharacteristic
304#2368C2211yescharacteristic
305#2368C2211yescharacteristic
306#2368C2211yescharacteristic
307#2367C2212yes—
308#2367C2212yes—
309#2366C2212yes—
310#2365C2212yes—
311#2364C2212yes—
312#2364C2212yes—
313#2364C2211yescharacteristic
314#2364C2212yes—
315#2364C2212yes—
316#2364C2212yes—
317#2364C2211yescharacteristic
318#2364C2211yescharacteristic
319#2364C2211yescharacteristic
320#2361C2212yes—
321#2361C2212yes—
322#2361C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2356C2212yes—
328#2353C2212yes—
329#2353C2212yes—
330#2352C2212yes—
331#2347C2212yes—
332#2343C2212yes—
333#2337C2212yes—
334#2337C2212yes—
335#2337C2212yes—
336#2337C2212yes—
337#2336C2212yes—
338#2335C2212yes—
339#2334C2212yes—
340#2333C2212yes—
341#2333C2212yes—
342#2332C2212yes—
343#2328C2212yes—
344#2326C2212yes—
345#2324C2212yes—
346#2323C2212yes—
347#2318C2212yes—
348C4×#126C2212yes—
349C4×#126C2212yes—
350C4×#124C2212yes—
351C4×C22⋊Q8C2212yes—
352C4×#123C2212yes—
353C4×#123C2212yes—
354#2298C2212yes—
355#2298C2212yes—
356#2297C2212yes—
357#2297C2212yes—
358#2297C2211yescharacteristic
359#2297C2211yescharacteristic
360#2295C2212yes—
361C2×#391C2212yes—
362C2×#391C2212yes—
363#2293C2212yes—
364#2290C2212yes—
365#2290C2212yes—
366#2290C2212yes—
367#2290C2212yes—
368#2290C2212yes—
369C2×#387C2212yes—
370C2×#387C2212yes—
371C2×#383C2211yescharacteristic
372#2275C2212yes—
373C42×D4C2212yes—
374C42×D4C2212yes—
375C4×#117C2212yes—
376C4×#117C2211yescharacteristic
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×#376C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C22×#41C2312yes—
382C23×Q8C2312yes—
383#553—48no—
384#548—48no—
385#532—28no—
386C2×C4⋊Q8C2311yescharacteristic
387C2×#127C2311yescharacteristic
388C2×#127C2312yes—
389#529—28no—
390#529—28no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#125C2311yescharacteristic
397C2×#125C2311yescharacteristic
398C2×#125C2312yes—
399C2×#124C2311yescharacteristic
400C2×#124C2311yescharacteristic
401C2×#124C2311yescharacteristic
402C2×#124C2311yescharacteristic
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C4×#41—44no—
445C4×#41—44no—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
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×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2311yescharacteristic
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C42C2312yes—
485C22×C42C2312yes—
486C22×C42C2312yes—
487C22×C42C2312yes—
488C22×C42C2311yescharacteristic
489C22×C42C2311yescharacteristic
490C22×C42C2311yescharacteristic
491#401C2312yes—
492#401C2312yes—
493#401C2312yes—
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#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
524#399C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#397C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#395C2312yes—
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2312yes—
605#394C2312yes—
606#394C2312yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#393C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2312yes—
656#392C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#390C2312yes—
706#390C2312yes—
707#390C2312yes—
708#390C2312yes—
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#388C2312yes—
734#388C2312yes—
735#388C2312yes—
736#388C2312yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
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#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
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#384C2312yes—
984#383C2311yescharacteristic
985#383C2311yescharacteristic
986#383C2312yes—
987#383C2312yes—
988#383C2312yes—
989#383C2312yes—
990#383C2312yes—
991#383C2312yes—
992#383C2311yescharacteristic
993#383C2311yescharacteristic
994#383C2312yes—
995#382C2312yes—
996#382C2312yes—
997#382C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2312yes—
1005#381C2312yes—
1006#381C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015C4×C4⋊C4C2312yes—
1016C4×C4⋊C4C2312yes—
1017C4×C4⋊C4C2312yes—
1018C4×C4⋊C4C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2311yescharacteristic
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2311yescharacteristic
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2311yescharacteristic
1035C4×C4⋊C4C2311yescharacteristic
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C22⋊C4C2312yes—
1043C4×C22⋊C4C2312yes—
1044C4×C22⋊C4C2312yes—
1045C4×C22⋊C4C2312yes—
1046C4×C22⋊C4C2312yes—
1047C4×C22⋊C4C2312yes—
1048C4×C22⋊C4C2312yes—
1049C4×C22⋊C4C2312yes—
1050C4×C22⋊C4C2312yes—
1051C4×C22⋊C4C2311yescharacteristic
1052C4×C22⋊C4C2312yes—
1053C4×C22⋊C4C2312yes—
1054C4×C22⋊C4C2312yes—
1055C4×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊C4C2312yes—
1061C4×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2311yescharacteristic
1070C4×C22⋊C4C2311yescharacteristic
1071C4×C22⋊C4C2311yescharacteristic
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080#376C2312yes—
1081#376C2312yes—
1082#376C2311yescharacteristic
1083#376C2311yescharacteristic
1084#376C2312yes—
1085#376C2312yes—
1086#376C2311yescharacteristic
1087#376C2311yescharacteristic
1088#376C2312yes—
1089#376C2312yes—
1090C2×#95C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2312yes—
1104C43C2312yes—
1105C2×#41—24no—
1106C2×#41—24no—
1107C2×#41—44no—
1108C2×#41—42no—
1109C2×#41—42no—
1110C2×#41—42no—
1111C2×#41—42no—
1112C2×#41—44no—
1113C2×#41—44no—
1114C22×Q8—44no—
1115C22×Q8—44no—
1116C22×Q8—44no—
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2411yescharacteristic
1122C22×Q8C2412yes—
1123C22×Q8C2412yes—
1124C22×Q8C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2411yescharacteristic
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C22×D4C2411yescharacteristic
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2412yes—
1142C22×D4C2412yes—
1143C22×D4C2412yes—
1144C22×D4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2411yescharacteristic
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C23×C4C2411yescharacteristic
1165C23×C4C2411yescharacteristic
1166C4⋊Q8—24no—
1167#127—24no—
1168#127—44no—
1169#126—28no—
1170#126—28no—
1171#126—44no—
1172#126—44no—
1173#126—44no—
1174#125—24no—
1175#125—24no—
1176#125—44no—
1177#124—24no—
1178#124—24no—
1179#124—24no—
1180#124—24no—
1181#124—44no—
1182#124—44no—
1183#124—44no—
1184#124—44no—
1185#124—44no—
1186#124—44no—
1187#124—44no—
1188#124—44no—
1189#123—28no—
1190#123—28no—
1191#123—44no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196C22⋊Q8—24no—
1197C22⋊Q8—24no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204#121—24no—
1205#121—24no—
1206#121—28no—
1207#121—28no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—44no—
1213#121—44no—
1214#121—44no—
1215#121—44no—
1216#121—44no—
1217#121—44no—
1218#121—44no—
1219#121—44no—
1220#121—44no—
1221#121—44no—
1222C4×Q8—24no—
1223C4×Q8—24no—
1224C4×Q8—44no—
1225C4×Q8—44no—
1226C4×Q8—44no—
1227C4×D4—28no—
1228C4×D4—28no—
1229C4×D4—28no—
1230C4×D4—28no—
1231C4×D4—28no—
1232C4×D4—28no—
1233C4×D4—24no—
1234C4×D4—24no—
1235C4×D4—28no—
1236C4×D4—28no—
1237C4×D4—44no—
1238C4×D4—44no—
1239C4×D4—44no—
1240C4×D4—44no—
1241C4×D4—44no—
1242C4×D4—44no—
1243C4×D4—44no—
1244C4×D4—44no—
1245C4×D4—44no—
1246C4×D4—44no—
1247#117—24no—
1248#117—28no—
1249#117—28no—
1250#117—44no—
1251#117—44no—
1252#117—44no—
1253#117—44no—
1254#117—42no—
1255#117—44no—
1256C2×C4⋊C4—44no—
1257C2×C4⋊C4—44no—
1258C2×C4⋊C4—44no—
1259C2×C4⋊C4—44no—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2411yescharacteristic
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C22⋊C4C2411yescharacteristic
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2411yescharacteristic
1326C2×C22⋊C4C2411yescharacteristic
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×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⋊C4C2411yescharacteristic
1408C2×C42—44no—
1409C2×C42—44no—
1410C2×C42—44no—
1411C2×C42—44no—
1412C2×C42—42no—
1413C2×C42—42no—
1414C2×C42#4118yescomplemented
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448C2×C42C2411yescharacteristic
1449C2×C42C2411yescharacteristic
1450C2×C42C2411yescharacteristic
1451C2×C42C2411yescharacteristic
1452C2×C42C2411yescharacteristic
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2411yescharacteristic
1457#95C2411yescharacteristic
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2411yescharacteristic
1464#95C2411yescharacteristic
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2411yescharacteristic
1469#95C2411yescharacteristic
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2411yescharacteristic
1480#95C2411yescharacteristic
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—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561C24C2512yes—
1562C24C2512yes—
1563C24C2512yes—
1564C24C2512yes—
1565C24C2511yescharacteristic
1566#41—416no—
1567#41—416no—
1568#41—816no—
1569C2×Q8—22no—
1570C2×Q8—22no—
1571C2×Q8—22no—
1572C2×Q8—22no—
1573C2×Q8—24no—
1574C2×Q8—24no—
1575C2×Q8—24no—
1576C2×Q8—24no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—42no—
1580C2×Q8—41no—
1581C2×Q8—41no—
1582C2×Q8—42no—
1583C2×Q8—42no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—816no—
1592C2×D4—24no—
1593C2×D4—24no—
1594C2×D4—24no—
1595C2×D4—24no—
1596C2×D4—24no—
1597C2×D4—24no—
1598C2×D4—24no—
1599C2×D4—24no—
1600C2×D4—24no—
1601C2×D4—24no—
1602C2×D4—24no—
1603C2×D4—24no—
1604C2×D4—24no—
1605C2×D4—22no—
1606C2×D4—22no—
1607C2×D4—22no—
1608C2×D4—22no—
1609C2×D4—24no—
1610C2×D4—24no—
1611C2×D4—24no—
1612C2×D4—24no—
1613C2×D4—41no—
1614C2×D4—41no—
1615C2×D4—42no—
1616C2×D4—42no—
1617C2×D4—41no—
1618C2×D4—41no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C22×C4—22no—
1651C22×C4—22no—
1652C22×C4—24no—
1653C22×C4—24no—
1654C22×C4—24no—
1655C22×C4—24no—
1656C22×C4—24no—
1657C22×C4—24no—
1658C22×C4—24no—
1659C22×C4—24no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—24no—
1666C22×C4—24no—
1667C22×C4—24no—
1668C22×C4—24no—
1669C22×C4—24no—
1670C22×C4—24no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4C2×#4114yes—
1709C22×C4C2×#4114yes—
1710C22×C4C2×#4114yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
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×C4C2511yescharacteristic
1733C22×C4C2511yescharacteristic
1734C22×C4C2511yescharacteristic
1735C22×C4C2511yescharacteristic
1736C22×C4C2511yescharacteristic
1737C22×C4C2511yescharacteristic
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C4⋊C4—24no—
1742C4⋊C4—24no—
1743C4⋊C4—24no—
1744C4⋊C4—24no—
1745C4⋊C4—24no—
1746C4⋊C4—24no—
1747C4⋊C4—22no—
1748C4⋊C4—22no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—22no—
1752C4⋊C4—22no—
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—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—22no—
1806C22⋊C4—22no—
1807C22⋊C4—22no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4H(5,𝔽2)14yes—
1889C42—24no—
1890C42—24no—
1891C42—24no—
1892C42—24no—
1893C42—24no—
1894C42—24no—
1895C42—24no—
1896C42—24no—
1897C42—24no—
1898C42—24no—
1899C42—41no—
1900C42—41no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—41no—
1906C42—41no—
1907C42—42no—
1908C42—42no—
1909C42—42no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42C2×#4114yes—
1924C42C2×#4114yes—
1925C42C2×#4114yes—
1926C42C2×#4114yes—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23—22no—
1931C23—22no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23C22×#4112yes—
1958C23C2×H(5,𝔽2)12yes—
1959C23#58512yes—
1960C23C2611yescharacteristic
1961Q8—48no—
1962Q8—44no—
1963Q8—44no—
1964Q8—82no—
1965Q8—82no—
1966Q8—84no—
1967Q8—84no—
1968Q8—84no—
1969D4—48no—
1970D4—44no—
1971D4—44no—
1972D4—48no—
1973D4—48no—
1974D4—48no—
1975D4—48no—
1976D4—84no—
1977D4—82no—
1978D4—82no—
1979D4—84no—
1980D4—84no—
1981D4—84no—
1982D4—84no—
1983D4—84no—
1984D4—162no—
1985D4—162no—
1986D4—162no—
1987D4—162no—
1988D4—162no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—28no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—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—44no—
2068C2×C4—44no—
2069C2×C4—48no—
2070C2×C4—48no—
2071C2×C4—48no—
2072C2×C4—48no—
2073C2×C4—48no—
2074C2×C4—48no—
2075C2×C4—48no—
2076C2×C4—84no—
2077C2×C4—84no—
2078C2×C4—84no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—84no—
2083C2×C4—84no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—162no—
2087C2×C4C22×#4112yes—
2088C2×C4C22×#4112yes—
2089C2×C4C22×#4112yes—
2090C2×C4C22×#4112yes—
2091C2×C4C22×#4112yes—
2092C2×C4C22×#4112yes—
2093C2×C4C2×H(5,𝔽2)14yes—
2094C2×C4#58514yes—
2095C2×C4#58514yes—
2096C22—24no—
2097C22—24no—
2098C22—22no—
2099C22—22no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22—42no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22#346014yes—
2129C22C23×#4111yescharacteristic
2130C22C22×H(5,𝔽2)11yescharacteristic
2131C22C2×#58512yes—
2132C22C2×#58512yes—
2133C22C2×#58511yescharacteristic
2134C4—24no—
2135C4—24no—
2136C4—24no—
2137C4—22no—
2138C4—22no—
2139C4—22no—
2140C4—22no—
2141C4—22no—
2142C4—22no—
2143C4—42no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C2—24no—
2165C2—82no—
2166C2—82no—
2167C2—82no—
2168C2—82no—
2169C2C2×#346011yescharacteristic
2170C2#6281511yescharacteristic
2171C2#6281511yescharacteristic
2172C2#6301712yes—
2173C2#6302912yes—
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. #41684C2semidirect
2. #41680C2semidirect
3. #41013C2semidirect
4. #41009C2semidirect
5. #40670C2semidirect
6. #40666C2semidirect
7. #40346C2semidirect
8. #40342C2semidirect
9. #40319C2semidirect
10. #40306C2semidirect
11. #38730C2semidirect
12. #38726C2semidirect
13. #38723C2semidirect
14. #38702C2semidirect
15. #38488C2semidirect
16. #38486C2semidirect
17. #38483C2semidirect
18. #38480C2semidirect
19. #37568C2semidirect
20. #37556C2semidirect
21. #36396C2semidirect
22. #36374C2semidirect
23. #36321C2semidirect
24. #36225C2semidirect
25. #35964C2semidirect
26. #35929C2semidirect
27. #35303C2semidirect
28. #35234C2semidirect
29. #35127C2semidirect
30. #35106C2semidirect
31. #34861C2semidirect
32. C2×#2605C2semidirect
33. #34234C2semidirect
34. #34149C2semidirect
35. #34141C2semidirect
1414. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#416842
#416802
#410132
#410092
#406702
#406662
#403462
#403422
#403192
#403062
#387302
#387262
#387232
#387022
#384882
#384862
#384832
#384802
#375682
#375562
#363962
#363742
#363212
#362252
#359642
#359292
#353032
#352342
#351272
#351062
#348612
C2×#26052
#342342
#341492
#341412