Finite Group Databasebeta

← #7663188

Subgroups — #7663188

Order 512.

8417 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3488C211yesmaximal, characteristic, complemented
2C2×#3524C211yesmaximal, characteristic, complemented
3#52164C213yesmaximal, complemented
4#42677C213yesmaximal, complemented
5#42643C213yesmaximal, complemented
6#42484C213yesmaximal, complemented
7#42438C213yesmaximal, complemented
8#42433C213yesmaximal, complemented
9#42430C213yesmaximal, complemented
10#39953C213yesmaximal, complemented
11#39881C213yesmaximal, complemented
12#39467C213yesmaximal, complemented
13#39132C213yesmaximal, complemented
14#38953C213yesmaximal, complemented
15#38910C213yesmaximal, complemented
16#37305C213yesmaximal, complemented
17#37278C213yesmaximal, complemented
18#37271C213yesmaximal, complemented
19#36583C211yesmaximal, characteristic, complemented
20#36465C211yesmaximal, characteristic, complemented
21#36455C211yesmaximal, characteristic, complemented
22#36430C211yesmaximal, characteristic, complemented
23#36429C211yesmaximal, characteristic, complemented
24#36428C211yesmaximal, characteristic, complemented
25#36091C211yesmaximal, characteristic, complemented
26#36082C211yesmaximal, characteristic, complemented
27#36066C211yesmaximal, characteristic, complemented
28#36018C211yesmaximal, characteristic, complemented
29#35854C211yesmaximal, characteristic, complemented
30#35771C211yesmaximal, characteristic, complemented
31#34263C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3524—216no—
35#3488—216no—
36C2×#559C2213yescomplemented
37C2×#557C2211yescharacteristic, complemented
38C2×#555C2213yescomplemented
39C2×#553C2213yescomplemented
40C2×#552C2213yescomplemented
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×#550C2211yescharacteristic, complemented
45C2×#550C2211yescharacteristic, complemented
46C2×#550C2211yescharacteristic, complemented
47C2×D4×Q8C2211yescharacteristic, complemented
48C2×#548C2211yescharacteristic
49C2×#548C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic, complemented
52C2×#548C2211yescharacteristic, complemented
53C2×#548C2211yescharacteristic, complemented
54C2×#548C2211yescharacteristic, complemented
55C2×#548C2211yescharacteristic, complemented
56C2×#546C2213yes—
57C2×#546C2213yes—
58C2×D42C2213yes—
59C2×D42C2213yes—
60C2×#542C2213yescomplemented
61C2×#540C2213yescomplemented
62C2×#537C2213yes—
63C2×#535C2213yes—
64C2×#529C2213yescomplemented
65C2×#529C2213yescomplemented
66C2×#525C2213yes—
67C22×#121C2213yes—
68C2×#520C2211yescharacteristic
69C2×#519C2211yescharacteristic, complemented
70C2×C4×#41C2211yescharacteristic, complemented
71#2858C2213yescomplemented
72#2858C2213yescomplemented
73#2856C2213yescomplemented
74#2850C2213yescomplemented
75#2848C2213yescomplemented
76#2847C2213yescomplemented
77#2815C2216yescomplemented
78#2813C2216yescomplemented
79#2723C2216yescomplemented
80#2723C2211yescharacteristic, complemented
81#2720C2213yescomplemented
82#2718C2213yescomplemented
83#2714C2216yescomplemented
84#2714C2216yescomplemented
85#2714C2216yescomplemented
86#2714C2213yescomplemented
87#2711C2213yescomplemented
88#2711C2216yescomplemented
89#2710C2216yescomplemented
90#2710C2213yescomplemented
91#2706C2213yescomplemented
92#2706C2216yescomplemented
93#2703C2213yescomplemented
94#2696C2213yescomplemented
95#2692C2213yescomplemented
96#2685C2216yescomplemented
97#2685C2213yescomplemented
98#2678C2216yescomplemented
99#2678C2216yescomplemented
100#2678C2216yescomplemented
101#2678C2216yescomplemented
102#2678C2213yescomplemented
103#2676C2216yescomplemented
104#2676C2213yescomplemented
105#2673C2216yescomplemented
106#2673C2213yescomplemented
107#2670C2216yescomplemented
108#2670C2213yescomplemented
109#2670C2216yescomplemented
110#2670C2216yescomplemented
111#2670C2216yescomplemented
112#2669C2216yescomplemented
113#2669C2213yescomplemented
114#2661C2216yescomplemented
115#2657C2213yescomplemented
116#2640C2213yescomplemented
117#2635C2216yescomplemented
118#2624C2216yescomplemented
119#2620C2213yescomplemented
120#2619C2216yescomplemented
121#2619C2213yescomplemented
122#2617C2216yescomplemented
123#2616C2213yescomplemented
124#2615C2213yescomplemented
125#2613C2216yescomplemented
126#2592C2213yescomplemented
127#2563C2213yescomplemented
128#2548C2213yescomplemented
129#2548C2213yescomplemented
130#2547C2213yescomplemented
131#2545C2213yescomplemented
132#2544C2213yescomplemented
133#2542C2213yescomplemented
134#2541C2213yescomplemented
135#2541C2213yescomplemented
136#2541C2213yescomplemented
137#2541C2213yescomplemented
138#2541C2213yescomplemented
139#2540C2213yescomplemented
140#2540C2213yescomplemented
141#2540C2213yescomplemented
142#2540C2213yescomplemented
143#2540C2213yescomplemented
144#2540C2213yescomplemented
145#2540C2213yescomplemented
146#2538C2213yescomplemented
147#2537C2213yescomplemented
148#2536C2213yescomplemented
149#2535C2213yescomplemented
150#2500C2216yescomplemented
151#2490C2213yescomplemented
152#2490C2213yescomplemented
153#2490C2213yescomplemented
154#2490C2213yescomplemented
155#2490C2213yescomplemented
156#2490C2213yescomplemented
157#2489C2213yescomplemented
158#2489C2213yescomplemented
159#2482C2216yescomplemented
160#2435C2213yescomplemented
161#2435C2213yescomplemented
162#2435C2213yescomplemented
163#2435C2213yescomplemented
164#2433C2213yescomplemented
165#2433C2216yescomplemented
166#2433C2213yescomplemented
167#2433C2213yescomplemented
168#2433C2213yescomplemented
169#2432C2213yescomplemented
170#2432C2213yescomplemented
171#2431C2213yescomplemented
172#2431C2213yescomplemented
173#2429C2213yescomplemented
174#2428C2213yescomplemented
175#2428C2213yescomplemented
176#2428C2213yescomplemented
177#2427C2213yescomplemented
178#2426C2213yescomplemented
179#2426C2213yescomplemented
180#2426C2213yescomplemented
181#2415C2213yescomplemented
182#2415C2213yescomplemented
183#2414C2216yescomplemented
184#2414C2213yescomplemented
185#2414C2213yescomplemented
186#2414C2213yescomplemented
187#2414C2213yescomplemented
188#2414C2213yescomplemented
189#2414C2213yescomplemented
190#2411C2216yescomplemented
191#2408C2213yescomplemented
192#2408C2213yescomplemented
193#2408C2213yescomplemented
194#2408C2213yescomplemented
195#2408C2213yescomplemented
196#2408C2213yescomplemented
197#2408C2213yescomplemented
198#2408C2213yescomplemented
199#2408C2216yescomplemented
200#2407C2213yescomplemented
201#2407C2213yescomplemented
202#2407C2213yescomplemented
203#2407C2213yescomplemented
204#2398C2213yescomplemented
205#2397C2213yescomplemented
206#2392C2213yescomplemented
207#2392C2213yescomplemented
208#2388C2213yescomplemented
209#2388C2213yescomplemented
210#2357C2213yescomplemented
211#2354C2213yescomplemented
212#2351C2211yescharacteristic, complemented
213Q8×C4⋊C4C2211yescharacteristic, complemented
214#2345C2213yescomplemented
215#2344C2213yescomplemented
216#2341C2211yescharacteristic
217#2341C2211yescharacteristic
218#2341C2211yescharacteristic, complemented
219#2341C2211yescharacteristic, complemented
220#2341C2211yescharacteristic, complemented
221#2341C2211yescharacteristic, complemented
222#2341C2211yescharacteristic, complemented
223#2341C2211yescharacteristic, complemented
224Q8×C22⋊C4C2211yescharacteristic, complemented
225Q8×C22⋊C4C2211yescharacteristic, complemented
226#2321C2216yescomplemented
227#2319C2213yescomplemented
228#2314C2213yescomplemented
229#2309C2216yescomplemented
230C4×#127C2213yescomplemented
231C4×#124C2213yescomplemented
232C4×#121C2213yescomplemented
233C4×#121C2213yescomplemented
234C4×#120C2213yescomplemented
235C4×#120C2213yescomplemented
236#2298C2213yescomplemented
237#2293C2213yescomplemented
238#2276C2211yescharacteristic, complemented
239C42×Q8C2211yescharacteristic, complemented
240C2×H(5,𝔽2)—28no—
241C2×H(5,𝔽2)—44no—
242C2×H(5,𝔽2)—44no—
243C22×#41—28no—
244C22×#41—44no—
245C22×#41—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2311yescharacteristic
249C22×#41C2311yescharacteristic
250C22×#41C2311yescharacteristic
251C22×#41C2313yes—
252C22×#41C2313yes—
253C22×#41C2313yes—
254C23×Q8C2311yescharacteristic
255C23×Q8C2311yescharacteristic
256C23×D4C2313yes—
257C23×D4C2313yes—
258C23×D4C2313yes—
259C23×D4C2313yes—
260C23×D4C2316yes—
261C24×C4C2313yes—
262#559—224no—
263#557—28no—
264#555—224no—
265#553—224no—
266#552—224no—
267#550—28no—
268#550—28no—
269#550—28no—
270#550—44no—
271#550—44no—
272#550—44no—
273D4×Q8—44no—
274#548—28no—
275#548—28no—
276#548—28no—
277#548—28no—
278#548—44no—
279#548—44no—
280#548—44no—
281#548—44no—
282#546—224no—
283#546—224no—
284D42—224no—
285D42—224no—
286#542—224no—
287#540—224no—
288#537—224no—
289#535—224no—
290C2×C4⋊Q8C2313yes—
291C2×C4⋊Q8C2313yes—
292C2×#127C2313yes—
293C2×#127C2313yes—
294C2×#127C2313yes—
295C2×#127C2313yes—
296C2×#127C2313yes—
297C2×#127C2313yes—
298C2×#127C2313yes—
299C2×#127C2316yes—
300#529—224no—
301#529—224no—
302C2×#126C2313yes—
303C2×#126C2311yescharacteristic
304C2×#126C2316yes—
305C2×#125C2313yes—
306C2×#125C2313yes—
307C2×#125C2313yes—
308C2×#124C2313yes—
309C2×#124C2313yes—
310C2×#124C2313yes—
311C2×#124C2313yes—
312C2×#124C2316yes—
313C2×#124C2313yes—
314C2×#124C2313yes—
315C2×#124C2313yes—
316C2×#124C2313yes—
317C2×#124C2313yes—
318C2×#124C2313yes—
319C2×#124C2316yes—
320#525—224no—
321C2×#123C2316yes—
322C2×#123C2313yes—
323C2×#123C2313yes—
324C2×#123C2313yes—
325C2×#123C2316yes—
326C2×#123C2313yes—
327C2×C22⋊Q8C2313yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2313yes—
330C2×C22⋊Q8C2313yes—
331C2×C22⋊Q8C2313yes—
332C2×C22⋊Q8C2313yes—
333C2×C22⋊Q8C2313yes—
334C2×C22⋊Q8C2313yes—
335C2×C22⋊Q8C2313yes—
336C2×C22⋊Q8C2313yes—
337C2×C22⋊Q8C2313yes—
338C2×C22⋊Q8C2313yes—
339C2×C22⋊Q8C2313yes—
340C2×#121—224no—
341C2×#121C2313yes—
342C2×#121C2316yes—
343C2×#121C2316yes—
344C2×#121C2316yes—
345C2×#121C2313yes—
346C2×#121C2313yes—
347C2×#121C2313yes—
348C2×#121C2313yes—
349C2×#121C2313yes—
350C2×#121C2316yes—
351C2×#121C2313yes—
352C2×#121C2313yes—
353C2×#121C2313yes—
354C2×#121C2313yes—
355C2×#121C2313yes—
356C2×#121C2313yes—
357C2×#121C2313yes—
358C2×#121C2313yes—
359C2×#121C2313yes—
360C2×#121C2313yes—
361C2×#121C2313yes—
362C2×#121C2313yes—
363C2×#121C2313yes—
364C2×#121C2313yes—
365C2×#121C2313yes—
366C2×#121C2313yes—
367C2×#121C2313yes—
368C2×#121C2313yes—
369C2×#121C2313yes—
370C2×#121C2316yes—
371C2×#121C2316yes—
372C2×#120C2313yes—
373C2×#120C2313yes—
374C2×#120C2316yes—
375C2×#120C2316yes—
376C2×#120C2316yes—
377C2×#120C2313yes—
378C2×#120C2313yes—
379C2×#120C2316yes—
380C2×#120C2316yes—
381C2×#120C2316yes—
382C2×#120C2316yes—
383#520D4116yescomplemented
384#519—28no—
385C4×#41—28no—
386C2×C4×Q8C2313yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2313yes—
394C2×C4×Q8C2313yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×D4C2313yes—
398C2×C4×D4C2313yes—
399C2×C4×D4C2316yes—
400C2×C4×D4C2313yes—
401C2×C4×D4C2313yes—
402C2×C4×D4C2313yes—
403C2×C4×D4C2313yes—
404C2×C4×D4C2313yes—
405C2×C4×D4C2313yes—
406C2×C4×D4C2313yes—
407C2×C4×D4C2313yes—
408C2×C4×D4C2313yes—
409C2×C4×D4C2313yes—
410C2×C4×D4C2313yes—
411C2×C4×D4C2313yes—
412C2×C4×D4C2313yes—
413C2×C4×D4C2313yes—
414C2×C4×D4C2313yes—
415C2×C4×D4C2313yes—
416C2×C4×D4C2313yes—
417C2×#117C2316yes—
418C2×#117C2313yes—
419C2×#117C2313yes—
420C2×#117C2313yes—
421C2×#117C2316yes—
422C2×#117C2313yes—
423C22×C4⋊C4C2313yes—
424C22×C22⋊C4C2316yes—
425C22×C42C2313yes—
426#400C2313yes—
427#400C2313yes—
428#399C2313yes—
429#399C2316yes—
430#399C2316yes—
431#399C2311yescharacteristic
432#399C2313yes—
433#399C2313yes—
434#398C2313yes—
435#398C2313yes—
436#397C2313yes—
437#397C2316yes—
438#397C2316yes—
439#397C2316yes—
440#397C2316yes—
441#397C2311yescharacteristic
442#397C2313yes—
443#397C2311yescharacteristic
444#397C2316yes—
445#396C2316yes—
446#396C2316yes—
447#396C2313yes—
448#396C2313yes—
449#396C2313yes—
450#396C2313yes—
451#395C2313yes—
452#395C2311yescharacteristic
453#394C2313yes—
454#394C2313yes—
455#394C2316yes—
456#394C2316yes—
457#394C2316yes—
458#394C2316yes—
459#394C2316yes—
460#394C2313yes—
461#394C2316yes—
462#394C2316yes—
463#394C2316yes—
464#394C2313yes—
465#394C2316yes—
466#394C2316yes—
467#394C2316yes—
468#394C2313yes—
469#394C2313yes—
470#394C2316yes—
471#394C2316yes—
472#394C2313yes—
473#394C2316yes—
474#394C2316yes—
475#394C2313yes—
476#394C2313yes—
477#394C2313yes—
478#394C2313yes—
479#394C2311yescharacteristic
480#394C2313yes—
481#394C2313yes—
482#394C2316yes—
483#393C2313yes—
484#393C2316yes—
485#393C2313yes—
486#393C2313yes—
487#393C2311yescharacteristic
488#392C2316yes—
489#392C2316yes—
490#392C2316yes—
491#392C2316yes—
492#392C2316yes—
493#392C2316yes—
494#392C2316yes—
495#392C2313yes—
496#392C2316yes—
497#392C2313yes—
498#392C2313yes—
499#392C2316yes—
500#392C2316yes—
501#392C2316yes—
502#392C2316yes—
503#392C2313yes—
504#392C2313yes—
505#392C2313yes—
506#392C2313yes—
507#392C2313yes—
508#392C2313yes—
509#392C2313yes—
510#392C2313yes—
511#392C2313yes—
512#392C2316yes—
513#392C2316yes—
514#392C2316yes—
515#392C2316yes—
516#391C2313yes—
517#391C2313yes—
518#391C2313yes—
519#391C2313yes—
520#391C2313yes—
521#390C2311yescharacteristic
522#390C2313yes—
523#390C2313yes—
524#390C2313yes—
525#390C2313yes—
526#390C2313yes—
527#390C2316yes—
528#390C2313yes—
529#390C2316yes—
530#390C2316yes—
531#390C2316yes—
532#390C2316yes—
533#390C2316yes—
534#390C2313yes—
535#390C2313yes—
536#390C2316yes—
537#390C2316yes—
538#390C2313yes—
539#390C2313yes—
540#390C2313yes—
541#390C2313yes—
542#390C2313yes—
543#390C2313yes—
544#390C2313yes—
545#390C2313yes—
546#390C2313yes—
547#390C2313yes—
548#390C2313yes—
549#390C2313yes—
550#390C2313yes—
551#390C2313yes—
552#390C2313yes—
553#390C2316yes—
554#390C2316yes—
555#390C2316yes—
556#390C2316yes—
557#390C2316yes—
558#390C2313yes—
559#389C2313yes—
560#389C2313yes—
561#389C2313yes—
562#389C2313yes—
563#389C2313yes—
564#389C2316yes—
565#389C2311yescharacteristic
566#388C2316yes—
567#388C2316yes—
568#388C2313yes—
569#388C2313yes—
570#388C2316yes—
571#388C2316yes—
572#388C2316yes—
573#388C2316yes—
574#388C2313yes—
575#388C2316yes—
576#388C2313yes—
577#388C2313yes—
578#388C2316yes—
579#388C2316yes—
580#388C2313yes—
581#388C2313yes—
582#388C2313yes—
583#388C2313yes—
584#388C2313yes—
585#388C2313yes—
586#388C2311yescharacteristic
587#387C2313yes—
588#387C2316yes—
589#387C2313yes—
590#387C2313yes—
591#387C2311yescharacteristic
592#386C2313yes—
593#386C2316yes—
594#386C2316yes—
595#386C2313yes—
596#386C2316yes—
597#386C2316yes—
598#386C2313yes—
599#386C2313yes—
600#386C2313yes—
601#386C2313yes—
602#386C2313yes—
603#386C2311yescharacteristic
604#386C2313yes—
605#386C2313yes—
606#385C2313yes—
607#385C2313yes—
608#385C2316yes—
609#385C2316yes—
610#385C2313yes—
611#385C2313yes—
612#385C2313yes—
613#385C2311yescharacteristic
614#384C2313yes—
615#384C2313yes—
616#382C2316yes—
617#382C2313yes—
618#382C2311yescharacteristic
619#381C2316yes—
620#380C2313yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625#380C2313yes—
626#380C2316yes—
627#380C2313yes—
628#380C2313yes—
629#380C2313yes—
630#380C2313yes—
631#380C2313yes—
632#380C2313yes—
633#379C2313yes—
634#379C2316yes—
635#379C2316yes—
636#379C2316yes—
637#379C2316yes—
638#379C2316yes—
639#379C2313yes—
640C4×C4⋊C4C2313yes—
641C4×C4⋊C4C2313yes—
642C4×C4⋊C4C2313yes—
643C4×C4⋊C4C2313yes—
644C4×C4⋊C4C2313yes—
645C4×C4⋊C4C2313yes—
646C4×C4⋊C4C2313yes—
647C4×C4⋊C4C2313yes—
648C4×C22⋊C4C2316yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2313yes—
651C4×C22⋊C4C2313yes—
652C4×C22⋊C4C2313yes—
653C4×C22⋊C4C2313yes—
654C4×C22⋊C4C2313yes—
655C4×C22⋊C4C2313yes—
656C4×C22⋊C4C2313yes—
657C4×C22⋊C4C2313yes—
658C4×C22⋊C4C2313yes—
659#376C2313yes—
660C43C2313yes—
661C25C2413yes—
662C25C2416yes—
663H(5,𝔽2)—464no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—24no—
672C2×#41—24no—
673C2×#41—24no—
674C2×#41—24no—
675C2×#41—24no—
676C2×#41—24no—
677C2×#41—24no—
678C2×#41—212no—
679C2×#41—212no—
680C2×#41—212no—
681C2×#41—46no—
682C2×#41—46no—
683C2×#41—46no—
684C2×#41—46no—
685C2×#41—46no—
686C2×#41—46no—
687C2×#41—464no—
688C2×#41C2×D418yes—
689C22×Q8—24no—
690C22×Q8—24no—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8—24no—
694C22×Q8—24no—
695C22×Q8C2413yes—
696C22×Q8C2413yes—
697C22×Q8C2413yes—
698C22×Q8C2411yescharacteristic
699C22×Q8C2411yescharacteristic
700C22×D4—212no—
701C22×D4—212no—
702C22×D4—212no—
703C22×D4—212no—
704C22×D4—224no—
705C22×D4—46no—
706C22×D4—46no—
707C22×D4—46no—
708C22×D4—46no—
709C22×D4—46no—
710C22×D4—46no—
711C22×D4—46no—
712C22×D4—46no—
713C22×D4—412no—
714C22×D4—86no—
715C22×D4C2413yes—
716C22×D4C2413yes—
717C22×D4C2413yes—
718C22×D4C2413yes—
719C22×D4C2411yescharacteristic
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2416yes—
726C22×D4C2413yes—
727C22×D4C2413yes—
728C22×D4C2413yes—
729C22×D4C2413yes—
730C22×D4C2413yes—
731C22×D4C2416yes—
732C22×D4C2416yes—
733C22×D4C2416yes—
734C22×D4C2413yes—
735C22×D4C2413yes—
736C22×D4C2413yes—
737C22×D4C2413yes—
738C22×D4C2413yes—
739C22×D4C2413yes—
740C22×D4C2413yes—
741C22×D4C2413yes—
742C22×D4C2416yes—
743C22×D4C2416yes—
744C22×D4C2416yes—
745C23×C4—212no—
746C23×C4—46no—
747C23×C4—46no—
748C23×C4C2413yes—
749C23×C4C2413yes—
750C23×C4C2413yes—
751C23×C4C2413yes—
752C23×C4C2413yes—
753C23×C4C2413yes—
754C23×C4C2413yes—
755C23×C4C2413yes—
756C23×C4C2413yes—
757C23×C4C2413yes—
758C23×C4C2411yescharacteristic
759C23×C4C2413yes—
760C23×C4C2416yes—
761C4⋊Q8—212no—
762C4⋊Q8—46no—
763#127—212no—
764#127—212no—
765#127—212no—
766#127—46no—
767#127—46no—
768#127—46no—
769#127—46no—
770#127—86no—
771#126—24no—
772#126—224no—
773#126—212no—
774#125—212no—
775#125—212no—
776#125—212no—
777#124—212no—
778#124—212no—
779#124—224no—
780#124—212no—
781#124—212no—
782#124—212no—
783#124—46no—
784#124—46no—
785#124—46no—
786#124—46no—
787#124—46no—
788#124—86no—
789#123—224no—
790#123—212no—
791#123—212no—
792#123—212no—
793#123—224no—
794#123—212no—
795C22⋊Q8—212no—
796C22⋊Q8—24no—
797C22⋊Q8—212no—
798C22⋊Q8—212no—
799C22⋊Q8—212no—
800C22⋊Q8—212no—
801C22⋊Q8—212no—
802C22⋊Q8—46no—
803C22⋊Q8—46no—
804C22⋊Q8—46no—
805C22⋊Q8—46no—
806C22⋊Q8—46no—
807C22⋊Q8—46no—
808#121—212no—
809#121—212no—
810#121—224no—
811#121—224no—
812#121—224no—
813#121—212no—
814#121—212no—
815#121—224no—
816#121—212no—
817#121—212no—
818#121—212no—
819#121—212no—
820#121—212no—
821#121—212no—
822#121—212no—
823#121—212no—
824#121—212no—
825#121—46no—
826#121—46no—
827#121—46no—
828#121—46no—
829#121—46no—
830#121—46no—
831#121—46no—
832#121—46no—
833#121—46no—
834#121—46no—
835#121—46no—
836#121—46no—
837#121—86no—
838#121—86no—
839#120—212no—
840#120—212no—
841#120—224no—
842#120—224no—
843#120—412no—
844#120—46no—
845#120—46no—
846#120—86no—
847#120—86no—
848#120—86no—
849#120—86no—
850C4×Q8—24no—
851C4×Q8—24no—
852C4×Q8—24no—
853C4×Q8—24no—
854C4×Q8—24no—
855C4×Q8—24no—
856C4×Q8—212no—
857C4×Q8—212no—
858C4×Q8—212no—
859C4×Q8C2×D418yes—
860C4×Q8C2×D418yes—
861C4×D4—212no—
862C4×D4—212no—
863C4×D4—224no—
864C4×D4—212no—
865C4×D4—212no—
866C4×D4—212no—
867C4×D4—212no—
868C4×D4—212no—
869C4×D4—212no—
870C4×D4—212no—
871C4×D4—46no—
872C4×D4—46no—
873C4×D4—46no—
874C4×D4—46no—
875C4×D4—46no—
876C4×D4—46no—
877C4×D4—46no—
878C4×D4—46no—
879C4×D4C2×D4124yes—
880C4×D4C2×D4124yes—
881#117—224no—
882#117—212no—
883#117—212no—
884#117—212no—
885#117—86no—
886#117C2×D4124yes—
887C2×C4⋊C4C2×D4124yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2416yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2413yes—
900C2×C4⋊C4C2413yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2413yes—
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2413yes—
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2413yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2413yes—
909C2×C4⋊C4C2416yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2413yes—
914C2×C4⋊C4C2413yes—
915C2×C4⋊C4C2413yes—
916C2×C4⋊C4C2413yes—
917C2×C4⋊C4C2413yes—
918C2×C4⋊C4C2413yes—
919C2×C4⋊C4C2413yes—
920C2×C4⋊C4C2416yes—
921C2×C4⋊C4C2413yes—
922C2×C4⋊C4C2413yes—
923C2×C4⋊C4C2413yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C22⋊C4—224no—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2416yes—
929C2×C22⋊C4C2416yes—
930C2×C22⋊C4C2411yescharacteristic
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2416yes—
934C2×C22⋊C4C2416yes—
935C2×C22⋊C4C2411yescharacteristic
936C2×C22⋊C4C2411yescharacteristic
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2416yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2416yes—
954C2×C22⋊C4C2411yescharacteristic
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2413yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2413yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2416yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2413yes—
974C2×C22⋊C4C2413yes—
975C2×C22⋊C4C2413yes—
976C2×C22⋊C4C2416yes—
977C2×C22⋊C4C2416yes—
978C2×C22⋊C4C2416yes—
979C2×C22⋊C4C2416yes—
980C2×C22⋊C4C2413yes—
981C2×C22⋊C4C2413yes—
982C2×C22⋊C4C2413yes—
983C2×C22⋊C4C2416yes—
984C2×C22⋊C4C2413yes—
985C2×C22⋊C4C2413yes—
986C2×C22⋊C4C2416yes—
987C2×C22⋊C4C2416yes—
988C2×C22⋊C4C2416yes—
989C2×C22⋊C4C2416yes—
990C2×C22⋊C4C2416yes—
991C2×C22⋊C4C2413yes—
992C2×C22⋊C4C2413yes—
993C2×C22⋊C4C2413yes—
994C2×C22⋊C4C2413yes—
995C2×C22⋊C4C2413yes—
996C2×C22⋊C4C2413yes—
997C2×C42—212no—
998C2×C42C2413yes—
999C2×C42C2416yes—
1000C2×C42C2413yes—
1001C2×C42C2413yes—
1002C2×C42C2413yes—
1003C2×C42C2413yes—
1004C2×C42C2413yes—
1005C2×C42C2413yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2413yes—
1009C2×C42C2416yes—
1010C2×C42C2413yes—
1011C2×C42C2413yes—
1012C2×C42C2413yes—
1013C2×C42C2413yes—
1014#95C2411yescharacteristic
1015#95C2413yes—
1016#95C2413yes—
1017#95C2413yes—
1018#95C2411yescharacteristic
1019#95C2411yescharacteristic
1020#95C2411yescharacteristic
1021#95C2411yescharacteristic
1022#95C2411yescharacteristic
1023#95C2411yescharacteristic
1024#95C2411yescharacteristic
1025#95C2411yescharacteristic
1026#95C2413yes—
1027#95C2413yes—
1028#95C2413yes—
1029#95C2413yes—
1030#95C2413yes—
1031#95C2413yes—
1032#95C2413yes—
1033#95C2413yes—
1034#95C2413yes—
1035#95C2413yes—
1036#95C2416yes—
1037#95C2413yes—
1038#95C2413yes—
1039#95C2413yes—
1040#95C2416yes—
1041#95C2411yescharacteristic
1042#95C2413yes—
1043#95C2413yes—
1044#95C2416yes—
1045#95C2416yes—
1046C24—26no—
1047C24—212no—
1048C24—26no—
1049C24—43no—
1050C24—43no—
1051C24—43no—
1052C24—46no—
1053C24—46no—
1054C24—43no—
1055C24—43no—
1056C24—46no—
1057C24—46no—
1058C24—46no—
1059C24—46no—
1060C24C2513yes—
1061C24C2513yes—
1062C24C2513yes—
1063C24C2511yescharacteristic
1064C24C2513yes—
1065C24C2513yes—
1066C24C2511yescharacteristic
1067#41—232no—
1068#41—448no—
1069#41—448no—
1070#41—448no—
1071#41—416no—
1072#41—416no—
1073#41—416no—
1074#41—416no—
1075C2×Q8—26no—
1076C2×Q8—22no—
1077C2×Q8—26no—
1078C2×Q8—26no—
1079C2×Q8—26no—
1080C2×Q8—26no—
1081C2×Q8—26no—
1082C2×Q8—26no—
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—43no—
1086C2×Q8—43no—
1087C2×Q8—416no—
1088C2×Q8—416no—
1089C2×Q8C22×D414yes—
1090C2×Q8H(5,𝔽2)14yes—
1091C2×Q8H(5,𝔽2)14yes—
1092C2×D4—212no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—26no—
1096C2×D4—22no—
1097C2×D4—26no—
1098C2×D4—26no—
1099C2×D4—212no—
1100C2×D4—26no—
1101C2×D4—26no—
1102C2×D4—26no—
1103C2×D4—26no—
1104C2×D4—26no—
1105C2×D4—26no—
1106C2×D4—26no—
1107C2×D4—26no—
1108C2×D4—26no—
1109C2×D4—26no—
1110C2×D4—26no—
1111C2×D4—26no—
1112C2×D4—212no—
1113C2×D4—212no—
1114C2×D4—26no—
1115C2×D4—26no—
1116C2×D4—26no—
1117C2×D4—26no—
1118C2×D4—26no—
1119C2×D4—26no—
1120C2×D4—26no—
1121C2×D4—26no—
1122C2×D4—26no—
1123C2×D4—26no—
1124C2×D4—22no—
1125C2×D4—26no—
1126C2×D4—41no—
1127C2×D4—43no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—43no—
1131C2×D4—43no—
1132C2×D4—43no—
1133C2×D4—46no—
1134C2×D4—46no—
1135C2×D4—43no—
1136C2×D4—43no—
1137C2×D4—448no—
1138C2×D4—43no—
1139C2×D4—43no—
1140C2×D4—43no—
1141C2×D4—43no—
1142C2×D4—43no—
1143C2×D4—43no—
1144C2×D4—43no—
1145C2×D4—43no—
1146C2×D4—43no—
1147C2×D4—43no—
1148C2×D4—43no—
1149C2×D4—46no—
1150C2×D4—43no—
1151C2×D4—43no—
1152C2×D4—43no—
1153C2×D4—43no—
1154C2×D4—43no—
1155C2×D4—46no—
1156C2×D4—43no—
1157C2×D4—43no—
1158C2×D4—43no—
1159C2×D4—43no—
1160C2×D4—43no—
1161C2×D4—46no—
1162C2×D4—43no—
1163C2×D4—43no—
1164C2×D4—43no—
1165C2×D4—43no—
1166C2×D4—43no—
1167C2×D4—43no—
1168C2×D4—43no—
1169C2×D4—43no—
1170C2×D4—46no—
1171C2×D4—46no—
1172C2×D4—46no—
1173C2×D4—46no—
1174C2×D4—46no—
1175C2×D4—46no—
1176C2×D4—46no—
1177C2×D4—46no—
1178C2×D4—46no—
1179C2×D4—46no—
1180C2×D4—46no—
1181C2×D4—46no—
1182C2×D4—448no—
1183C2×D4—448no—
1184C2×D4—448no—
1185C2×D4—848no—
1186C2×D4C22×D4112yes—
1187C22×C4—26no—
1188C22×C4—26no—
1189C22×C4—26no—
1190C22×C4—26no—
1191C22×C4—26no—
1192C22×C4—26no—
1193C22×C4—26no—
1194C22×C4—26no—
1195C22×C4—26no—
1196C22×C4—22no—
1197C22×C4—26no—
1198C22×C4—26no—
1199C22×C4—26no—
1200C22×C4—26no—
1201C22×C4—26no—
1202C22×C4—26no—
1203C22×C4—26no—
1204C22×C4—26no—
1205C22×C4—26no—
1206C22×C4—26no—
1207C22×C4—26no—
1208C22×C4—26no—
1209C22×C4—26no—
1210C22×C4—26no—
1211C22×C4—26no—
1212C22×C4—46no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—43no—
1216C22×C4—43no—
1217C22×C4—43no—
1218C22×C4—43no—
1219C22×C4—46no—
1220C22×C4—43no—
1221C22×C4—43no—
1222C22×C4—43no—
1223C22×C4—43no—
1224C22×C4—448no—
1225C22×C4C22×D4112yes—
1226C22×C4C22×D4124yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2513yes—
1230C22×C4C2513yes—
1231C22×C4C2513yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2513yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2513yes—
1238C22×C4C2513yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2513yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2513yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2513yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2513yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2513yes—
1251C4⋊C4—26no—
1252C4⋊C4—26no—
1253C4⋊C4—26no—
1254C4⋊C4—26no—
1255C4⋊C4—26no—
1256C4⋊C4—212no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—26no—
1261C4⋊C4—26no—
1262C4⋊C4—26no—
1263C4⋊C4—26no—
1264C4⋊C4—22no—
1265C4⋊C4—26no—
1266C4⋊C4—26no—
1267C4⋊C4—26no—
1268C4⋊C4—26no—
1269C4⋊C4—26no—
1270C4⋊C4—22no—
1271C4⋊C4—43no—
1272C4⋊C4—46no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—43no—
1277C4⋊C4—43no—
1278C4⋊C4—43no—
1279C4⋊C4—43no—
1280C4⋊C4—43no—
1281C4⋊C4—43no—
1282C4⋊C4—43no—
1283C4⋊C4—46no—
1284C4⋊C4C22×D4112yes—
1285C4⋊C4C22×D4112yes—
1286C4⋊C4C22×D4112yes—
1287C4⋊C4C22×D414yes—
1288C22⋊C4—26no—
1289C22⋊C4—212no—
1290C22⋊C4—26no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—26no—
1294C22⋊C4—26no—
1295C22⋊C4—212no—
1296C22⋊C4—212no—
1297C22⋊C4—22no—
1298C22⋊C4—26no—
1299C22⋊C4—212no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—26no—
1305C22⋊C4—26no—
1306C22⋊C4—26no—
1307C22⋊C4—26no—
1308C22⋊C4—26no—
1309C22⋊C4—212no—
1310C22⋊C4—26no—
1311C22⋊C4—26no—
1312C22⋊C4—26no—
1313C22⋊C4—26no—
1314C22⋊C4—43no—
1315C22⋊C4—46no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—43no—
1321C22⋊C4—43no—
1322C22⋊C4—43no—
1323C22⋊C4—43no—
1324C22⋊C4—43no—
1325C22⋊C4—43no—
1326C22⋊C4—43no—
1327C22⋊C4—43no—
1328C22⋊C4—43no—
1329C22⋊C4—43no—
1330C22⋊C4—43no—
1331C22⋊C4—43no—
1332C22⋊C4—43no—
1333C22⋊C4—43no—
1334C22⋊C4—43no—
1335C22⋊C4—46no—
1336C22⋊C4—43no—
1337C22⋊C4—46no—
1338C22⋊C4—43no—
1339C22⋊C4—43no—
1340C22⋊C4—43no—
1341C22⋊C4—43no—
1342C22⋊C4—46no—
1343C22⋊C4—46no—
1344C22⋊C4—46no—
1345C22⋊C4—46no—
1346C22⋊C4—43no—
1347C22⋊C4—43no—
1348C22⋊C4—46no—
1349C22⋊C4—46no—
1350C22⋊C4—46no—
1351C22⋊C4—46no—
1352C22⋊C4—43no—
1353C22⋊C4—43no—
1354C22⋊C4—46no—
1355C22⋊C4—43no—
1356C22⋊C4—43no—
1357C22⋊C4C22×D4112yes—
1358C22⋊C4C22×D4112yes—
1359C42—22no—
1360C42—26no—
1361C42—26no—
1362C42—212no—
1363C42—26no—
1364C42—26no—
1365C42—26no—
1366C42—26no—
1367C42—26no—
1368C42—22no—
1369C42—43no—
1370C42—46no—
1371C42—43no—
1372C42—43no—
1373C42C22×D4112yes—
1374C42C22×D4112yes—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—23no—
1379C23—23no—
1380C23—23no—
1381C23—21no—
1382C23—23no—
1383C23—23no—
1384C23—23no—
1385C23—21no—
1386C23—21no—
1387C23—23no—
1388C23—21no—
1389C23—23no—
1390C23—23no—
1391C23—23no—
1392C23—21no—
1393C23—23no—
1394C23—23no—
1395C23—23no—
1396C23—23no—
1397C23—21no—
1398C23—23no—
1399C23—23no—
1400C23—23no—
1401C23—23no—
1402C23—23no—
1403C23—23no—
1404C23—23no—
1405C23—23no—
1406C23—23no—
1407C23—23no—
1408C23—23no—
1409C23—21no—
1410C23—21no—
1411C23—23no—
1412C23—23no—
1413C23—23no—
1414C23—23no—
1415C23—23no—
1416C23—23no—
1417C23—23no—
1418C23—23no—
1419C23—23no—
1420C23—21no—
1421C23—21no—
1422C23—412no—
1423C23—412no—
1424C23—424no—
1425C23—86no—
1426C23—86no—
1427C23—86no—
1428C23—812no—
1429C23—812no—
1430C23—86no—
1431C23—86no—
1432C23—166no—
1433C23—166no—
1434C23—166no—
1435C23—166no—
1436C23C23×D416yes—
1437C23#58512yes—
1438C23C2611yescharacteristic
1439Q8—44no—
1440Q8—412no—
1441Q8—412no—
1442Q8—86no—
1443Q8#535116yes—
1444D4—224no—
1445D4—44no—
1446D4—412no—
1447D4—412no—
1448D4—412no—
1449D4—412no—
1450D4—412no—
1451D4—424no—
1452D4—412no—
1453D4—412no—
1454D4—412no—
1455D4—412no—
1456D4—86no—
1457D4—86no—
1458D4—86no—
1459D4—86no—
1460D4—812no—
1461D4—812no—
1462D4—86no—
1463D4—86no—
1464D4—812no—
1465D4—86no—
1466D4—86no—
1467D4—86no—
1468D4—86no—
1469D4—86no—
1470D4—86no—
1471D4—166no—
1472D4—166no—
1473D4—166no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—23no—
1480C2×C4—21no—
1481C2×C4—23no—
1482C2×C4—23no—
1483C2×C4—21no—
1484C2×C4—23no—
1485C2×C4—21no—
1486C2×C4—224no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—23no—
1490C2×C4—21no—
1491C2×C4—23no—
1492C2×C4—23no—
1493C2×C4—21no—
1494C2×C4—23no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—23no—
1501C2×C4—23no—
1502C2×C4—23no—
1503C2×C4—23no—
1504C2×C4—21no—
1505C2×C4—23no—
1506C2×C4—21no—
1507C2×C4—23no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—23no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—23no—
1516C2×C4—21no—
1517C2×C4—23no—
1518C2×C4—21no—
1519C2×C4—23no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—23no—
1523C2×C4—23no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—23no—
1528C2×C4—23no—
1529C2×C4—23no—
1530C2×C4—23no—
1531C2×C4—23no—
1532C2×C4—21no—
1533C2×C4—23no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—23no—
1537C2×C4—23no—
1538C2×C4—424no—
1539C2×C4—44no—
1540C2×C4—412no—
1541C2×C4—412no—
1542C2×C4—412no—
1543C2×C4—412no—
1544C2×C4—412no—
1545C2×C4—412no—
1546C2×C4—412no—
1547C2×C4—412no—
1548C2×C4—86no—
1549C2×C4—86no—
1550C2×C4C23×D416yes—
1551C2×C4C23×D412yes—
1552C2×C4C23×D412yes—
1553C2×C4C23×D416yes—
1554C2×C4C23×D412yes—
1555C2×C4C23×D416yes—
1556C2×C4C2×H(5,𝔽2)16yes—
1557C2×C4C2×H(5,𝔽2)16yes—
1558C2×C4#58512yes—
1559C22—26no—
1560C22—22no—
1561C22—26no—
1562C22—22no—
1563C22—22no—
1564C22—26no—
1565C22—41no—
1566C22—43no—
1567C22—41no—
1568C22—43no—
1569C22—43no—
1570C22—41no—
1571C22—43no—
1572C22—41no—
1573C22—43no—
1574C22—43no—
1575C22—43no—
1576C22—43no—
1577C22—41no—
1578C22—43no—
1579C22—41no—
1580C22—43no—
1581C22—43no—
1582C22—43no—
1583C22—41no—
1584C22—43no—
1585C22—43no—
1586C22—43no—
1587C22—43no—
1588C22—41no—
1589C22—43no—
1590C22—43no—
1591C22—43no—
1592C22—43no—
1593C22—41no—
1594C22—43no—
1595C22—43no—
1596C22—43no—
1597C22—43no—
1598C22—41no—
1599C22—43no—
1600C22—43no—
1601C22—43no—
1602C22—43no—
1603C22—41no—
1604C22—43no—
1605C22—43no—
1606C22—43no—
1607C22—43no—
1608C22—824no—
1609C22—1624no—
1610C22C24×D411yescharacteristic
1611C22C22×H(5,𝔽2)11yescharacteristic
1612C22C22×H(5,𝔽2)11yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22H(7,𝔽2)11yescharacteristic
1616C22H(7,𝔽2)11yescharacteristic
1617C4—26no—
1618C4—26no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—41no—
1624C4—41no—
1625C4—43no—
1626C4—43no—
1627C4—41no—
1628C4—43no—
1629C4—43no—
1630C4—43no—
1631C4—41no—
1632C4—41no—
1633C4—43no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—43no—
1639C4—43no—
1640C4C2×#535112yes—
1641C2—42no—
1642C2—46no—
1643C2—83no—
1644C2—81no—
1645C2—83no—
1646C2—83no—
1647C2—83no—
1648C2C22×#53511yescharacteristic
1649C2#6289911yescharacteristic
1650C2#6292311yescharacteristic
1651C2#6298711yescharacteristic
1652C2#6300311yescharacteristic
1653C2#6302011yescharacteristic
1654C2#6306611yescharacteristic
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. C2×#3488C2semidirect
2. C2×#3524C2semidirect
3. #52164C2semidirect
4. #42677C2semidirect
5. #42643C2semidirect
6. #42484C2semidirect
7. #42438C2semidirect
8. #42433C2semidirect
9. #42430C2semidirect
10. #39953C2semidirect
11. #39881C2semidirect
12. #39467C2semidirect
13. #39132C2semidirect
14. #38953C2semidirect
15. #38910C2semidirect
16. #37305C2semidirect
17. #37278C2semidirect
18. #37271C2semidirect
19. #36583C2semidirect
20. #36465C2semidirect
21. #36455C2semidirect
22. #36430C2semidirect
23. #36429C2semidirect
24. #36428C2semidirect
25. #36091C2semidirect
26. #36082C2semidirect
27. #36066C2semidirect
28. #36018C2semidirect
29. #35854C2semidirect
30. #35771C2semidirect
31. #34263C2semidirect
36. C2×#559C22semidirect
37. C2×#557C22semidirect
38. C2×#555C22semidirect
39. C2×#553C22semidirect
40. C2×#552C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
46. C2×#550C22semidirect
47. C2×D4×Q8C22semidirect
51. C2×#548C22semidirect
52. C2×#548C22semidirect
53. C2×#548C22semidirect
54. C2×#548C22semidirect
55. C2×#548C22semidirect
60. C2×#542C22semidirect
61. C2×#540C22semidirect
64. C2×#529C22semidirect
65. C2×#529C22semidirect
69. C2×#519C22semidirect
70. C2×C4×#41C22semidirect
71. #2858C22semidirect
72. #2858C22semidirect
73. #2856C22semidirect
74. #2850C22semidirect
75. #2848C22semidirect
76. #2847C22semidirect
77. #2815C22semidirect
78. #2813C22semidirect
79. #2723C22semidirect
80. #2723C22semidirect
81. #2720C22semidirect
82. #2718C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2714C22semidirect
87. #2711C22semidirect
88. #2711C22semidirect
89. #2710C22semidirect
90. #2710C22semidirect
91. #2706C22semidirect
92. #2706C22semidirect
93. #2703C22semidirect
94. #2696C22semidirect
95. #2692C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2676C22semidirect
104. #2676C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2661C22semidirect
115. #2657C22semidirect
116. #2640C22semidirect
117. #2635C22semidirect
118. #2624C22semidirect
119. #2620C22semidirect
120. #2619C22semidirect
121. #2619C22semidirect
122. #2617C22semidirect
123. #2616C22semidirect
124. #2615C22semidirect
125. #2613C22semidirect
126. #2592C22semidirect
127. #2563C22semidirect
128. #2548C22semidirect
129. #2548C22semidirect
130. #2547C22semidirect
131. #2545C22semidirect
132. #2544C22semidirect
133. #2542C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2540C22semidirect
143. #2540C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
146. #2538C22semidirect
147. #2537C22semidirect
148. #2536C22semidirect
149. #2535C22semidirect
150. #2500C22semidirect
151. #2490C22semidirect
152. #2490C22semidirect
153. #2490C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2489C22semidirect
158. #2489C22semidirect
159. #2482C22semidirect
160. #2435C22semidirect
161. #2435C22semidirect
162. #2435C22semidirect
163. #2435C22semidirect
164. #2433C22semidirect
165. #2433C22semidirect
166. #2433C22semidirect
167. #2433C22semidirect
168. #2433C22semidirect
169. #2432C22semidirect
170. #2432C22semidirect
171. #2431C22semidirect
172. #2431C22semidirect
173. #2429C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2427C22semidirect
178. #2426C22semidirect
179. #2426C22semidirect
180. #2426C22semidirect
181. #2415C22semidirect
182. #2415C22semidirect
183. #2414C22semidirect
184. #2414C22semidirect
185. #2414C22semidirect
186. #2414C22semidirect
187. #2414C22semidirect
188. #2414C22semidirect
189. #2414C22semidirect
190. #2411C22semidirect
191. #2408C22semidirect
192. #2408C22semidirect
193. #2408C22semidirect
194. #2408C22semidirect
195. #2408C22semidirect
196. #2408C22semidirect
197. #2408C22semidirect
198. #2408C22semidirect
199. #2408C22semidirect
200. #2407C22semidirect
201. #2407C22semidirect
202. #2407C22semidirect
203. #2407C22semidirect
204. #2398C22semidirect
205. #2397C22semidirect
206. #2392C22semidirect
207. #2392C22semidirect
208. #2388C22semidirect
209. #2388C22semidirect
210. #2357C22semidirect
211. #2354C22semidirect
212. #2351C22semidirect
213. Q8×C4⋊C4C22semidirect
214. #2345C22semidirect
215. #2344C22semidirect
218. #2341C22semidirect
219. #2341C22semidirect
220. #2341C22semidirect
221. #2341C22semidirect
222. #2341C22semidirect
223. #2341C22semidirect
224. Q8×C22⋊C4C22semidirect
225. Q8×C22⋊C4C22semidirect
226. #2321C22semidirect
227. #2319C22semidirect
228. #2314C22semidirect
229. #2309C22semidirect
230. C4×#127C22semidirect
231. C4×#124C22semidirect
232. C4×#121C22semidirect
233. C4×#121C22semidirect
234. C4×#120C22semidirect
235. C4×#120C22semidirect
236. #2298C22semidirect
237. #2293C22semidirect
238. #2276C22semidirect
239. C42×Q8C22semidirect
383. #520D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34882
C2×#35242
#521642
#426772
#426432
#424842
#424382
#424332
#424302
#399532
#398812
#394672
#391322
#389532
#389102
#373052
#372782
#372712
#365832
#364652
#364552
#364302
#364292
#364282
#360912
#360822
#360662
#360182
#358542
#357712
#342632