Finite Group Databasebeta

← #7660402

Subgroups — #7660402

Order 512.

8170 conjugacy classes of subgroups.

The subgroup lattice has 1629 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic, complemented
2C2×#3522C211yesmaximal, characteristic, complemented
3#52164C213yesmaximal, complemented
4#42683C213yesmaximal, complemented
5#42648C213yesmaximal, complemented
6#42478C213yesmaximal, complemented
7#42443C213yesmaximal, complemented
8#42434C213yesmaximal, complemented
9#42421C213yesmaximal, complemented
10#39953C213yesmaximal, complemented
11#39876C213yesmaximal, complemented
12#39594C213yesmaximal, complemented
13#39471C213yesmaximal, complemented
14#38951C213yesmaximal, complemented
15#38905C213yesmaximal, complemented
16#37391C213yesmaximal, complemented
17#37379C213yesmaximal, complemented
18#37271C213yesmaximal, complemented
19Q8×#124C211yesmaximal, characteristic, complemented
20Q8×#121C211yesmaximal, characteristic, complemented
21#36465C211yesmaximal, characteristic, complemented
22#36434C211yesmaximal, characteristic, complemented
23#36429C211yesmaximal, characteristic, complemented
24#36428C211yesmaximal, characteristic, complemented
25#35948C211yesmaximal, characteristic, complemented
26#35927C211yesmaximal, characteristic, complemented
27#35831C211yesmaximal, characteristic, complemented
28#35757C211yesmaximal, characteristic, complemented
29#35737C211yesmaximal, characteristic, complemented
30#35687C211yesmaximal, characteristic, complemented
31#34263C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3522—216no—
35#3489—216no—
36C2×#559C2213yescomplemented
37C2×Q82C2211yescharacteristic, complemented
38C2×#554C2213yescomplemented
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic
42C2×D4×Q8C2211yescharacteristic
43C2×D4×Q8C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×D4×Q8C2211yescharacteristic, complemented
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic
49C2×#548C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic, complemented
52C2×#548C2211yescharacteristic, complemented
53C2×#548C2211yescharacteristic, complemented
54C2×#547C2213yes—
55C2×#547C2213yes—
56C2×#547C2213yescomplemented
57C2×#547C2213yescomplemented
58C2×#546C2213yes—
59C2×#546C2213yes—
60C2×#542C2213yescomplemented
61C2×#542C2213yescomplemented
62C2×#537C2213yes—
63C2×#536C2213yes—
64C2×#532C2213yescomplemented
65C2×#529C2213yescomplemented
66C2×#525C2213yes—
67C22×C22⋊Q8C2213yes—
68C2×#520C2211yescharacteristic
69C2×#520C2211yescharacteristic, complemented
70C22×C4×Q8C2211yescharacteristic, complemented
71#2862C2213yescomplemented
72#2858C2213yescomplemented
73#2857C2213yescomplemented
74#2850C2213yescomplemented
75#2848C2213yes—
76#2847C2213yes—
77#2816C2216yescomplemented
78#2813C2216yescomplemented
79#2723C2216yescomplemented
80#2723C2213yescomplemented
81#2720C2213yes—
82#2720C2216yescomplemented
83#2718C2216yescomplemented
84#2718C2213yescomplemented
85#2714C2213yes—
86#2711C2213yescomplemented
87#2710C2216yescomplemented
88#2710C2216yescomplemented
89#2710C2216yescomplemented
90#2710C2216yescomplemented
91#2710C2213yescomplemented
92#2706C2216yescomplemented
93#2706C2216yescomplemented
94#2706C2216yescomplemented
95#2706C2213yescomplemented
96#2706C2216yescomplemented
97#2703C2216yescomplemented
98#2703C2213yescomplemented
99#2696C2213yes—
100#2696C2216yescomplemented
101#2692C2216yes—
102#2692C2213yescomplemented
103#2692C2216yescomplemented
104#2692C2216yescomplemented
105#2685C2213yes—
106#2678C2216yes—
107#2678C2213yes—
108#2676C2211yescharacteristic
109#2676C2216yescomplemented
110#2673C2213yescomplemented
111#2670C2213yes—
112#2670C2216yes—
113#2669C2213yes—
114#2661C2216yescomplemented
115#2658C2213yescomplemented
116#2640C2213yescomplemented
117#2635C2216yescomplemented
118#2626C2216yes—
119#2623C2216yescomplemented
120#2621C2213yescomplemented
121#2620C2213yescomplemented
122#2620C2216yescomplemented
123#2616C2213yescomplemented
124#2615C2216yescomplemented
125#2615C2213yescomplemented
126#2592C2213yescomplemented
127#2568C2213yescomplemented
128#2563C2213yes—
129#2547C2213yescomplemented
130#2547C2213yescomplemented
131#2546C2213yescomplemented
132#2545C2213yescomplemented
133#2544C2213yescomplemented
134#2542C2213yes—
135#2542C2213yescomplemented
136#2542C2213yescomplemented
137#2542C2213yescomplemented
138#2541C2213yescomplemented
139#2540C2213yes—
140#2540C2213yes—
141#2540C2213yescomplemented
142#2540C2213yescomplemented
143#2540C2213yescomplemented
144#2540C2213yescomplemented
145#2540C2213yescomplemented
146#2538C2213yes—
147#2537C2213yescomplemented
148#2536C2213yescomplemented
149#2535C2213yes—
150#2502C2216yescomplemented
151#2492C2213yes—
152#2492C2213yes—
153#2492C2213yescomplemented
154#2492C2213yescomplemented
155#2492C2213yescomplemented
156#2492C2213yescomplemented
157#2491C2213yescomplemented
158#2491C2213yescomplemented
159#2487C2216yescomplemented
160#2436C2213yescomplemented
161#2435C2213yes—
162#2434C2213yescomplemented
163#2433C2213yes—
164#2432C2213yes—
165#2432C2213yes—
166#2432C2213yescomplemented
167#2432C2213yescomplemented
168#2431C2213yes—
169#2431C2213yes—
170#2431C2213yescomplemented
171#2431C2216yescomplemented
172#2431C2213yescomplemented
173#2429C2213yes—
174#2429C2213yescomplemented
175#2429C2213yescomplemented
176#2428C2213yescomplemented
177#2427C2213yes—
178#2427C2213yescomplemented
179#2427C2213yescomplemented
180#2426C2213yescomplemented
181#2417C2213yes—
182#2417C2213yes—
183#2417C2213yescomplemented
184#2417C2213yescomplemented
185#2417C2213yescomplemented
186#2417C2213yescomplemented
187#2416C2213yescomplemented
188#2416C2213yescomplemented
189#2414C2216yescomplemented
190#2411C2216yes—
191#2409C2213yescomplemented
192#2409C2213yescomplemented
193#2408C2213yes—
194#2408C2213yes—
195#2407C2213yes—
196#2407C2213yes—
197#2407C2213yes—
198#2407C2213yes—
199#2407C2213yescomplemented
200#2407C2213yescomplemented
201#2407C2213yescomplemented
202#2407C2213yescomplemented
203#2404C2216yes—
204#2398C2213yescomplemented
205#2397C2213yes—
206#2392C2213yes—
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
219#2341C2211yescharacteristic
220Q8×C22⋊C4C2211yescharacteristic
221Q8×C22⋊C4C2211yescharacteristic
222Q8×C22⋊C4C2211yescharacteristic, complemented
223Q8×C22⋊C4C2211yescharacteristic, complemented
224Q8×C22⋊C4C2211yescharacteristic, complemented
225Q8×C22⋊C4C2211yescharacteristic, complemented
226#2321C2216yes—
227#2319C2213yescomplemented
228#2314C2213yescomplemented
229#2311C2216yescomplemented
230C4×#127C2213yescomplemented
231C4×#124C2213yes—
232C4×#121C2213yes—
233C4×#121C2213yescomplemented
234C4×#120C2213yes—
235C4×#120C2213yes—
236#2298C2213yescomplemented
237#2293C2213yescomplemented
238#2276C2211yescharacteristic, complemented
239C42×Q8C2211yescharacteristic, complemented
240C2×2−1+4—28no—
241C2×2−1+4—44no—
242C2×2−1+4—44no—
243C22×#41—28no—
244C22×#41—44no—
245C22×#41—44no—
246C22×#41C2311yescharacteristic
247C22×#41C2311yescharacteristic
248C22×#41C2311yescharacteristic
249C22×#41C2313yes—
250C22×#41C2313yes—
251C22×#41C2313yes—
252C22×#41C2313yes—
253C22×#41C2313yes—
254C22×#41C2316yes—
255C23×Q8C2311yescharacteristic
256C23×Q8C2311yescharacteristic
257C23×Q8C2311yescharacteristic
258C23×Q8C2311yescharacteristic
259C23×Q8C2313yes—
260C23×D4C2313yes—
261C24×C4C2313yes—
262#559—224no—
263Q82—28no—
264#554—224no—
265#550—28no—
266#550—44no—
267D4×Q8—28no—
268D4×Q8—28no—
269D4×Q8—44no—
270D4×Q8—44no—
271D4×Q8—44no—
272#548—28no—
273#548—28no—
274#548—28no—
275#548—28no—
276#548—44no—
277#548—44no—
278#548—44no—
279#548—44no—
280#547—224no—
281#547—224no—
282#547—224no—
283#547—224no—
284#546—224no—
285#546—224no—
286#542—224no—
287#542—224no—
288#537—224no—
289#536—224no—
290#532—224no—
291C2×C4⋊Q8C2313yes—
292C2×C4⋊Q8C2313yes—
293C2×C4⋊Q8C2313yes—
294C2×C4⋊Q8C2313yes—
295C2×C4⋊Q8C2313yes—
296C2×C4⋊Q8C2313yes—
297C2×C4⋊Q8C2313yes—
298C2×C4⋊Q8C2313yes—
299C2×#127C2313yes—
300C2×#127C2313yes—
301C2×#127C2313yes—
302#529—224no—
303C2×#126C2313yes—
304C2×#126C2313yes—
305C2×#125C2313yes—
306C2×#124C2313yes—
307C2×#124C2313yes—
308C2×#124C2313yes—
309C2×#124C2311yescharacteristic
310C2×#124C2313yes—
311C2×#124C2316yes—
312C2×#124C2313yes—
313C2×#124C2313yes—
314C2×#124C2313yes—
315C2×#124C2313yes—
316C2×#124C2313yes—
317C2×#124C2316yes—
318#525—224no—
319C2×#123C2316yes—
320C2×#123C2313yes—
321C2×#123C2313yes—
322C2×#123C2313yes—
323C2×#123C2313yes—
324C2×#123C2316yes—
325C2×#123C2316yes—
326C2×#123C2316yes—
327C2×C22⋊Q8—224no—
328C2×C22⋊Q8C2316yes—
329C2×C22⋊Q8C2313yes—
330C2×C22⋊Q8C2313yes—
331C2×C22⋊Q8C2313yes—
332C2×C22⋊Q8C2313yes—
333C2×C22⋊Q8C2316yes—
334C2×C22⋊Q8C2313yes—
335C2×C22⋊Q8C2313yes—
336C2×C22⋊Q8C2313yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2313yes—
339C2×C22⋊Q8C2316yes—
340C2×C22⋊Q8C2313yes—
341C2×C22⋊Q8C2313yes—
342C2×C22⋊Q8C2313yes—
343C2×C22⋊Q8C2313yes—
344C2×C22⋊Q8C2313yes—
345C2×C22⋊Q8C2313yes—
346C2×C22⋊Q8C2313yes—
347C2×C22⋊Q8C2313yes—
348C2×C22⋊Q8C2313yes—
349C2×C22⋊Q8C2313yes—
350C2×C22⋊Q8C2313yes—
351C2×C22⋊Q8C2313yes—
352C2×#121C2316yes—
353C2×#121C2313yes—
354C2×#121C2316yes—
355C2×#121C2313yes—
356C2×#121C2313yes—
357C2×#121C2311yescharacteristic
358C2×#121C2313yes—
359C2×#121C2311yescharacteristic
360C2×#121C2313yes—
361C2×#121C2313yes—
362C2×#121C2313yes—
363C2×#121C2313yes—
364C2×#121C2313yes—
365C2×#121C2313yes—
366C2×#121C2313yes—
367C2×#121C2313yes—
368C2×#121C2313yes—
369C2×#121C2313yes—
370C2×#121C2313yes—
371C2×#121C2316yes—
372C2×#120C2313yes—
373C2×#120C2313yes—
374C2×#120C2313yes—
375C2×#120C2313yes—
376C2×#120C2316yes—
377#520—28no—
378#520D4116yescomplemented
379C2×C4×Q8—28no—
380C2×C4×Q8C2313yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2313yes—
388C2×C4×Q8C2313yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×D4C2313yes—
392C2×C4×D4C2313yes—
393C2×C4×D4C2313yes—
394C2×C4×D4C2316yes—
395C2×C4×D4C2313yes—
396C2×C4×D4C2313yes—
397C2×C4×D4C2313yes—
398C2×C4×D4C2313yes—
399C2×C4×D4C2313yes—
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×#117C2313yes—
412C2×#117C2316yes—
413C2×#117C2313yes—
414C22×C4⋊C4C2316yes—
415C22×C4⋊C4C2313yes—
416C22×C4⋊C4C2313yes—
417C22×C4⋊C4C2313yes—
418C22×C22⋊C4C2316yes—
419C22×C42C2313yes—
420#400C2316yes—
421#400C2316yes—
422#400C2313yes—
423#400C2313yes—
424#399C2313yes—
425#399C2316yes—
426#399C2316yes—
427#399C2316yes—
428#399C2313yes—
429#399C2313yes—
430#399C2313yes—
431#399C2316yes—
432#399C2316yes—
433#398C2316yes—
434#398C2316yes—
435#398C2313yes—
436#398C2316yes—
437#398C2313yes—
438#398C2316yes—
439#397C2316yes—
440#397C2316yes—
441#397C2316yes—
442#397C2313yes—
443#397C2313yes—
444#397C2313yes—
445#397C2313yes—
446#396C2316yes—
447#396C2313yes—
448#396C2313yes—
449#396C2316yes—
450#396C2316yes—
451#396C2313yes—
452#396C2316yes—
453#396C2316yes—
454#396C2311yescharacteristic
455#395C2316yes—
456#395C2313yes—
457#395C2313yes—
458#394C2313yes—
459#394C2313yes—
460#394C2316yes—
461#394C2316yes—
462#394C2316yes—
463#394C2316yes—
464#394C2313yes—
465#394C2316yes—
466#394C2313yes—
467#394C2316yes—
468#394C2316yes—
469#394C2316yes—
470#394C2313yes—
471#394C2311yescharacteristic
472#394C2313yes—
473#394C2313yes—
474#394C2311yescharacteristic
475#394C2313yes—
476#394C2313yes—
477#394C2313yes—
478#394C2313yes—
479#394C2313yes—
480#394C2316yes—
481#393C2316yes—
482#393C2316yes—
483#393C2316yes—
484#393C2313yes—
485#393C2316yes—
486#393C2316yes—
487#393C2313yes—
488#393C2313yes—
489#393C2311yescharacteristic
490#392C2313yes—
491#392C2313yes—
492#392C2313yes—
493#392C2316yes—
494#392C2316yes—
495#392C2316yes—
496#392C2316yes—
497#392C2316yes—
498#392C2313yes—
499#392C2316yes—
500#392C2316yes—
501#392C2311yescharacteristic
502#392C2313yes—
503#392C2313yes—
504#392C2313yes—
505#392C2313yes—
506#392C2311yescharacteristic
507#392C2313yes—
508#392C2313yes—
509#392C2316yes—
510#391C2316yes—
511#391C2316yes—
512#391C2313yes—
513#391C2313yes—
514#391C2313yes—
515#391C2313yes—
516#391C2313yes—
517#391C2313yes—
518#391C2313yes—
519#391C2313yes—
520#391C2313yes—
521#391C2313yes—
522#391C2313yes—
523#391C2313yes—
524#391C2313yes—
525#391C2316yes—
526#390C2311yescharacteristic
527#390C2313yes—
528#390C2313yes—
529#390C2313yes—
530#390C2313yes—
531#390C2313yes—
532#390C2313yes—
533#390C2316yes—
534#390C2313yes—
535#390C2313yes—
536#390C2316yes—
537#390C2316yes—
538#390C2313yes—
539#390C2313yes—
540#390C2313yes—
541#390C2313yes—
542#390C2313yes—
543#390C2313yes—
544#390C2316yes—
545#390C2316yes—
546#390C2316yes—
547#390C2313yes—
548#390C2313yes—
549#389C2313yes—
550#389C2313yes—
551#389C2313yes—
552#389C2313yes—
553#389C2316yes—
554#389C2316yes—
555#389C2313yes—
556#389C2313yes—
557#388C2316yes—
558#388C2316yes—
559#388C2313yes—
560#388C2313yes—
561#388C2313yes—
562#388C2316yes—
563#388C2316yes—
564#388C2316yes—
565#388C2316yes—
566#388C2313yes—
567#388C2313yes—
568#388C2313yes—
569#388C2313yes—
570#388C2313yes—
571#388C2313yes—
572#388C2313yes—
573#388C2313yes—
574#388C2313yes—
575#387C2313yes—
576#387C2316yes—
577#387C2313yes—
578#387C2313yes—
579#387C2311yescharacteristic
580#386C2313yes—
581#386C2316yes—
582#386C2316yes—
583#386C2316yes—
584#386C2316yes—
585#386C2316yes—
586#386C2316yes—
587#386C2313yes—
588#386C2316yes—
589#386C2313yes—
590#386C2316yes—
591#386C2316yes—
592#386C2316yes—
593#386C2316yes—
594#386C2313yes—
595#386C2313yes—
596#386C2313yes—
597#386C2313yes—
598#386C2311yescharacteristic
599#386C2311yescharacteristic
600#386C2313yes—
601#385C2316yes—
602#385C2313yes—
603#385C2316yes—
604#385C2316yes—
605#385C2313yes—
606#385C2316yes—
607#385C2316yes—
608#385C2316yes—
609#385C2313yes—
610#385C2313yes—
611#385C2311yescharacteristic
612#385C2313yes—
613#384C2313yes—
614#384C2313yes—
615#384C2316yes—
616#382C2316yes—
617#382C2313yes—
618#382C2313yes—
619#381C2316yes—
620#380C2313yes—
621#380C2313yes—
622#380C2313yes—
623#380C2313yes—
624#380C2313yes—
625#380C2316yes—
626#380C2316yes—
627#380C2316yes—
628#380C2313yes—
629#380C2313yes—
630#380C2316yes—
631#380C2313yes—
632#380C2313yes—
633#380C2313yes—
634#380C2313yes—
635#380C2313yes—
636#380C2316yes—
637#379C2316yes—
638#379C2313yes—
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—
6622−1+4—464no—
663C2×#41—24no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—24no—
667C2×#41—24no—
668C2×#41—24no—
669C2×#41—24no—
670C2×#41—24no—
671C2×#41—212no—
672C2×#41—212no—
673C2×#41—212no—
674C2×#41—212no—
675C2×#41—212no—
676C2×#41—224no—
677C2×#41—46no—
678C2×#41—46no—
679C2×#41—412no—
680C2×#41—46no—
681C2×#41—46no—
682C2×#41—46no—
683C2×#41—46no—
684C2×#41—46no—
685C2×#41—46no—
686C2×#41—46no—
687C2×#41—46no—
688C2×#41—464no—
689C2×#41—86no—
690C2×#41C2×D418yes—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8—24no—
694C22×Q8—24no—
695C22×Q8—24no—
696C22×Q8—24no—
697C22×Q8—24no—
698C22×Q8—24no—
699C22×Q8—24no—
700C22×Q8—24no—
701C22×Q8—24no—
702C22×Q8—24no—
703C22×Q8—212no—
704C22×Q8—46no—
705C22×Q8—46no—
706C22×Q8C2413yes—
707C22×Q8C2413yes—
708C22×Q8C2413yes—
709C22×Q8C2413yes—
710C22×Q8C2411yescharacteristic
711C22×Q8C2413yes—
712C22×Q8C2416yes—
713C22×Q8C2411yescharacteristic
714C22×D4—212no—
715C22×D4—46no—
716C22×D4—46no—
717C22×D4C2413yes—
718C22×D4C2413yes—
719C22×D4C2411yescharacteristic
720C22×D4C2411yescharacteristic
721C22×D4C2411yescharacteristic
722C22×D4C2413yes—
723C22×D4C2411yescharacteristic
724C22×D4C2413yes—
725C22×D4C2413yes—
726C22×D4C2413yes—
727C22×D4C2411yescharacteristic
728C22×D4C2413yes—
729C22×D4C2413yes—
730C22×D4C2413yes—
731C22×D4C2413yes—
732C22×D4C2413yes—
733C22×D4C2416yes—
734C22×D4C2413yes—
735C22×D4C2413yes—
736C22×D4C2411yescharacteristic
737C22×D4C2416yes—
738C22×D4C2413yes—
739C22×D4C2413yes—
740C22×D4C2416yes—
741C23×C4—212no—
742C23×C4—46no—
743C23×C4—46no—
744C23×C4C2413yes—
745C23×C4C2413yes—
746C23×C4C2413yes—
747C23×C4C2413yes—
748C23×C4C2413yes—
749C23×C4C2413yes—
750C23×C4C2413yes—
751C23×C4C2411yescharacteristic
752C23×C4C2413yes—
753C23×C4C2416yes—
754C23×C4C2413yes—
755C23×C4C2416yes—
756C23×C4C2411yescharacteristic
757C23×C4C2413yes—
758C23×C4C2416yes—
759C4⋊Q8—212no—
760C4⋊Q8—212no—
761C4⋊Q8—212no—
762C4⋊Q8—212no—
763C4⋊Q8—212no—
764C4⋊Q8—46no—
765C4⋊Q8—46no—
766C4⋊Q8—46no—
767#127—212no—
768#127—46no—
769#127—46no—
770#126—212no—
771#126—212no—
772#125—212no—
773#124—212no—
774#124—212no—
775#124—224no—
776#124—24no—
777#124—212no—
778#124—212no—
779#124—212no—
780#124—46no—
781#124—46no—
782#124—46no—
783#124—46no—
784#124—86no—
785#123—224no—
786#123—212no—
787#123—212no—
788#123—212no—
789#123—212no—
790#123—224no—
791#123—224no—
792#123—224no—
793C22⋊Q8—224no—
794C22⋊Q8—212no—
795C22⋊Q8—212no—
796C22⋊Q8—224no—
797C22⋊Q8—212no—
798C22⋊Q8—212no—
799C22⋊Q8—212no—
800C22⋊Q8—212no—
801C22⋊Q8—212no—
802C22⋊Q8—24no—
803C22⋊Q8—212no—
804C22⋊Q8—212no—
805C22⋊Q8—224no—
806C22⋊Q8—212no—
807C22⋊Q8—46no—
808C22⋊Q8—46no—
809C22⋊Q8—46no—
810C22⋊Q8—46no—
811C22⋊Q8—46no—
812C22⋊Q8—46no—
813C22⋊Q8—46no—
814C22⋊Q8—46no—
815C22⋊Q8—46no—
816C22⋊Q8—46no—
817#121—212no—
818#121—212no—
819#121—224no—
820#121—224no—
821#121—212no—
822#121—24no—
823#121—212no—
824#121—212no—
825#121—212no—
826#121—212no—
827#121—212no—
828#121—24no—
829#121—46no—
830#121—46no—
831#121—46no—
832#121—46no—
833#121—46no—
834#121—46no—
835#121—46no—
836#121—86no—
837#120—212no—
838#120—212no—
839#120—212no—
840#120—46no—
841#120—86no—
842C4×Q8—24no—
843C4×Q8—24no—
844C4×Q8—24no—
845C4×Q8—24no—
846C4×Q8—24no—
847C4×Q8—24no—
848C4×Q8—212no—
849C4×Q8—212no—
850C4×Q8—212no—
851C4×Q8C2×D418yes—
852C4×Q8C2×D418yes—
853C4×D4—212no—
854C4×D4—212no—
855C4×D4—224no—
856C4×D4—212no—
857C4×D4—212no—
858C4×D4—212no—
859C4×D4—212no—
860C4×D4—212no—
861C4×D4—212no—
862C4×D4—212no—
863C4×D4—46no—
864C4×D4—46no—
865C4×D4—46no—
866C4×D4—46no—
867C4×D4—46no—
868C4×D4—46no—
869C4×D4—46no—
870C4×D4—46no—
871C4×D4C2×D4124yes—
872C4×D4C2×D4124yes—
873#117—212no—
874#117—86no—
875#117C2×D4124yes—
876C2×C4⋊C4—224no—
877C2×C4⋊C4—212no—
878C2×C4⋊C4—212no—
879C2×C4⋊C4C2×D4124yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2416yes—
886C2×C4⋊C4C2416yes—
887C2×C4⋊C4C2416yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2413yes—
900C2×C4⋊C4C2413yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2413yes—
903C2×C4⋊C4C2416yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2413yes—
907C2×C4⋊C4C2413yes—
908C2×C4⋊C4C2413yes—
909C2×C4⋊C4C2413yes—
910C2×C4⋊C4C2413yes—
911C2×C4⋊C4C2413yes—
912C2×C4⋊C4C2413yes—
913C2×C4⋊C4C2416yes—
914C2×C4⋊C4C2416yes—
915C2×C4⋊C4C2416yes—
916C2×C4⋊C4C2413yes—
917C2×C4⋊C4C2413yes—
918C2×C4⋊C4C2413yes—
919C2×C4⋊C4C2413yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C22⋊C4—224no—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2416yes—
925C2×C22⋊C4C2416yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2411yescharacteristic
930C2×C22⋊C4C2411yescharacteristic
931C2×C22⋊C4C2411yescharacteristic
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2416yes—
939C2×C22⋊C4C2416yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2416yes—
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2411yescharacteristic
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2413yes—
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⋊C4C2416yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2416yes—
973C2×C22⋊C4C2416yes—
974C2×C22⋊C4C2416yes—
975C2×C22⋊C4C2416yes—
976C2×C22⋊C4C2416yes—
977C2×C22⋊C4C2413yes—
978C2×C22⋊C4C2413yes—
979C2×C22⋊C4C2413yes—
980C2×C22⋊C4C2413yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2416yes—
983C2×C22⋊C4C2413yes—
984C2×C22⋊C4C2413yes—
985C2×C22⋊C4C2413yes—
986C2×C22⋊C4C2413yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C42—212no—
989C2×C42C2413yes—
990C2×C42C2413yes—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2413yes—
995C2×C42C2413yes—
996C2×C42C2413yes—
997C2×C42C2411yescharacteristic
998C2×C42C2413yes—
999C2×C42C2416yes—
1000C2×C42C2413yes—
1001C2×C42C2413yes—
1002C2×C42C2413yes—
1003C2×C42C2413yes—
1004#95C2411yescharacteristic
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2411yescharacteristic
1009#95C2411yescharacteristic
1010#95C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2413yes—
1017#95C2413yes—
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2416yes—
1023#95C2413yes—
1024#95C2413yes—
1025#95C2413yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2413yes—
1029#95C2413yes—
1030#95C2416yes—
1031#95C2411yescharacteristic
1032#95C2413yes—
1033#95C2413yes—
1034#95C2416yes—
1035#95C2416yes—
1036#95C2416yes—
1037#95C2416yes—
1038#95C2416yes—
1039#95C2416yes—
1040C24—26no—
1041C24—26no—
1042C24—43no—
1043C24—43no—
1044C24—43no—
1045C24—43no—
1046C24—43no—
1047C24C2513yes—
1048C24C2513yes—
1049C24C2511yescharacteristic
1050C24C2511yescharacteristic
1051C24C2513yes—
1052C24C2511yescharacteristic
1053C24C2511yescharacteristic
1054#41—232no—
1055#41—448no—
1056#41—448no—
1057#41—448no—
1058#41—448no—
1059#41—448no—
1060#41—416no—
1061#41—416no—
1062#41—848no—
1063C2×Q8—22no—
1064C2×Q8—26no—
1065C2×Q8—26no—
1066C2×Q8—26no—
1067C2×Q8—26no—
1068C2×Q8—26no—
1069C2×Q8—212no—
1070C2×Q8—26no—
1071C2×Q8—26no—
1072C2×Q8—26no—
1073C2×Q8—26no—
1074C2×Q8—26no—
1075C2×Q8—26no—
1076C2×Q8—26no—
1077C2×Q8—26no—
1078C2×Q8—22no—
1079C2×Q8—43no—
1080C2×Q8—43no—
1081C2×Q8—41no—
1082C2×Q8—46no—
1083C2×Q8—46no—
1084C2×Q8—448no—
1085C2×Q8—416no—
1086C2×Q8—416no—
1087C2×Q8—416no—
1088C2×Q8—416no—
1089C2×Q8C22×D414yes—
1090C2×Q8H(5,𝔽2)14yes—
1091C2×Q8H(5,𝔽2)14yes—
1092C2×D4—26no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—26no—
1096C2×D4—212no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—26no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—26no—
1105C2×D4—212no—
1106C2×D4—26no—
1107C2×D4—26no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—26no—
1111C2×D4—26no—
1112C2×D4—22no—
1113C2×D4—26no—
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—22no—
1124C2×D4—26no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—46no—
1129C2×D4—46no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—43no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—43no—
1137C2×D4—43no—
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—46no—
1149C2×D4—43no—
1150C2×D4—43no—
1151C2×D4—43no—
1152C2×D4—43no—
1153C2×D4—43no—
1154C2×D4—43no—
1155C2×D4—43no—
1156C2×D4—43no—
1157C2×D4—43no—
1158C2×D4—43no—
1159C2×D4—46no—
1160C2×D4—46no—
1161C2×D4—46no—
1162C2×D4—46no—
1163C2×D4—448no—
1164C2×D4C22×D4112yes—
1165C22×C4—26no—
1166C22×C4—26no—
1167C22×C4—212no—
1168C22×C4—26no—
1169C22×C4—26no—
1170C22×C4—22no—
1171C22×C4—26no—
1172C22×C4—26no—
1173C22×C4—26no—
1174C22×C4—26no—
1175C22×C4—26no—
1176C22×C4—26no—
1177C22×C4—26no—
1178C22×C4—22no—
1179C22×C4—26no—
1180C22×C4—26no—
1181C22×C4—26no—
1182C22×C4—26no—
1183C22×C4—26no—
1184C22×C4—26no—
1185C22×C4—26no—
1186C22×C4—26no—
1187C22×C4—26no—
1188C22×C4—26no—
1189C22×C4—26no—
1190C22×C4—26no—
1191C22×C4—26no—
1192C22×C4—22no—
1193C22×C4—212no—
1194C22×C4—46no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—43no—
1198C22×C4—43no—
1199C22×C4—43no—
1200C22×C4—43no—
1201C22×C4—41no—
1202C22×C4—46no—
1203C22×C4—46no—
1204C22×C4—46no—
1205C22×C4—43no—
1206C22×C4—46no—
1207C22×C4—46no—
1208C22×C4—448no—
1209C22×C4C22×D4112yes—
1210C22×C4C22×D4124yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2513yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2513yes—
1216C22×C4C2513yes—
1217C22×C4C2513yes—
1218C22×C4C2513yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2513yes—
1221C22×C4C2513yes—
1222C22×C4C2513yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2513yes—
1225C22×C4C2513yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2513yes—
1231C22×C4C2513yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2513yes—
1235C4⋊C4—26no—
1236C4⋊C4—26no—
1237C4⋊C4—26no—
1238C4⋊C4—26no—
1239C4⋊C4—26no—
1240C4⋊C4—212no—
1241C4⋊C4—212no—
1242C4⋊C4—212no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—26no—
1246C4⋊C4—26no—
1247C4⋊C4—26no—
1248C4⋊C4—26no—
1249C4⋊C4—26no—
1250C4⋊C4—26no—
1251C4⋊C4—26no—
1252C4⋊C4—26no—
1253C4⋊C4—26no—
1254C4⋊C4—26no—
1255C4⋊C4—26no—
1256C4⋊C4—22no—
1257C4⋊C4—43no—
1258C4⋊C4—43no—
1259C4⋊C4—46no—
1260C4⋊C4—41no—
1261C4⋊C4—43no—
1262C4⋊C4—43no—
1263C4⋊C4—43no—
1264C4⋊C4—43no—
1265C4⋊C4—43no—
1266C4⋊C4—43no—
1267C4⋊C4—43no—
1268C4⋊C4—43no—
1269C4⋊C4—46no—
1270C4⋊C4—46no—
1271C4⋊C4—46no—
1272C4⋊C4C22×D4112yes—
1273C4⋊C4C22×D4112yes—
1274C4⋊C4C22×D4112yes—
1275C4⋊C4C22×D414yes—
1276C22⋊C4—26no—
1277C22⋊C4—212no—
1278C22⋊C4—26no—
1279C22⋊C4—22no—
1280C22⋊C4—26no—
1281C22⋊C4—26no—
1282C22⋊C4—212no—
1283C22⋊C4—212no—
1284C22⋊C4—26no—
1285C22⋊C4—26no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—26no—
1291C22⋊C4—26no—
1292C22⋊C4—26no—
1293C22⋊C4—26no—
1294C22⋊C4—26no—
1295C22⋊C4—212no—
1296C22⋊C4—26no—
1297C22⋊C4—26no—
1298C22⋊C4—26no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—46no—
1303C22⋊C4—43no—
1304C22⋊C4—41no—
1305C22⋊C4—43no—
1306C22⋊C4—43no—
1307C22⋊C4—46no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—43no—
1313C22⋊C4—43no—
1314C22⋊C4—43no—
1315C22⋊C4—43no—
1316C22⋊C4—43no—
1317C22⋊C4—43no—
1318C22⋊C4—43no—
1319C22⋊C4—43no—
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—46no—
1329C22⋊C4—43no—
1330C22⋊C4—43no—
1331C22⋊C4—46no—
1332C22⋊C4—46no—
1333C22⋊C4—46no—
1334C22⋊C4—46no—
1335C22⋊C4—43no—
1336C22⋊C4—46no—
1337C22⋊C4—43no—
1338C22⋊C4—43no—
1339C22⋊C4C22×D4112yes—
1340C22⋊C4C22×D4112yes—
1341C22⋊C42−1+414yescomplemented
1342C42—26no—
1343C42—26no—
1344C42—26no—
1345C42—26no—
1346C42—26no—
1347C42—26no—
1348C42—26no—
1349C42—26no—
1350C42—22no—
1351C42—43no—
1352C42—43no—
1353C42—46no—
1354C42—43no—
1355C42C22×D4112yes—
1356C42C22×D4112yes—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—23no—
1364C23—23no—
1365C23—23no—
1366C23—21no—
1367C23—21no—
1368C23—23no—
1369C23—23no—
1370C23—21no—
1371C23—21no—
1372C23—23no—
1373C23—21no—
1374C23—21no—
1375C23—23no—
1376C23—23no—
1377C23—21no—
1378C23—21no—
1379C23—23no—
1380C23—23no—
1381C23—21no—
1382C23—21no—
1383C23—23no—
1384C23—21no—
1385C23—21no—
1386C23—23no—
1387C23—21no—
1388C23—21no—
1389C23—23no—
1390C23—23no—
1391C23—21no—
1392C23—23no—
1393C23—23no—
1394C23—21no—
1395C23—21no—
1396C23—23no—
1397C23—21no—
1398C23—23no—
1399C23—21no—
1400C23—23no—
1401C23—21no—
1402C23—23no—
1403C23—412no—
1404C23—412no—
1405C23—86no—
1406C23—86no—
1407C23—86no—
1408C23—86no—
1409C23—86no—
1410C23C23×D416yes—
1411C23C2×2−1+412yes—
1412C23#58512yes—
1413C23C2611yescharacteristic
1414Q8—44no—
1415Q8—412no—
1416Q8—412no—
1417Q8—412no—
1418Q8—412no—
1419Q8—412no—
1420Q8—812no—
1421Q8#535116yes—
1422D4—224no—
1423D4—44no—
1424D4—412no—
1425D4—44no—
1426D4—44no—
1427D4—412no—
1428D4—44no—
1429D4—44no—
1430D4—412no—
1431D4—44no—
1432D4—424no—
1433D4—412no—
1434D4—412no—
1435D4—412no—
1436D4—412no—
1437D4—86no—
1438D4—86no—
1439D4—86no—
1440D4—86no—
1441D4—86no—
1442D4—812no—
1443D4—86no—
1444D4—86no—
1445D4—166no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—224no—
1461C2×C4—21no—
1462C2×C4—23no—
1463C2×C4—23no—
1464C2×C4—23no—
1465C2×C4—21no—
1466C2×C4—23no—
1467C2×C4—23no—
1468C2×C4—21no—
1469C2×C4—23no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—23no—
1474C2×C4—23no—
1475C2×C4—23no—
1476C2×C4—23no—
1477C2×C4—21no—
1478C2×C4—23no—
1479C2×C4—21no—
1480C2×C4—23no—
1481C2×C4—23no—
1482C2×C4—23no—
1483C2×C4—21no—
1484C2×C4—23no—
1485C2×C4—21no—
1486C2×C4—23no—
1487C2×C4—23no—
1488C2×C4—23no—
1489C2×C4—21no—
1490C2×C4—23no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—23no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—23no—
1497C2×C4—23no—
1498C2×C4—21no—
1499C2×C4—23no—
1500C2×C4—23no—
1501C2×C4—23no—
1502C2×C4—23no—
1503C2×C4—23no—
1504C2×C4—23no—
1505C2×C4—23no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—23no—
1509C2×C4—424no—
1510C2×C4—44no—
1511C2×C4—412no—
1512C2×C4—44no—
1513C2×C4—412no—
1514C2×C4—412no—
1515C2×C4—424no—
1516C2×C4—412no—
1517C2×C4—412no—
1518C2×C4—412no—
1519C2×C4—412no—
1520C2×C4—412no—
1521C2×C4—412no—
1522C2×C4—812no—
1523C2×C4C23×D412yes—
1524C2×C4C23×D416yes—
1525C2×C4C23×D412yes—
1526C2×C4C23×D416yes—
1527C2×C4C23×D412yes—
1528C2×C4C23×D416yes—
1529C2×C4C2×H(5,𝔽2)16yes—
1530C2×C4C2×H(5,𝔽2)16yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C22—22no—
1534C22—26no—
1535C22—22no—
1536C22—26no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—26no—
1542C22—41no—
1543C22—41no—
1544C22—43no—
1545C22—41no—
1546C22—43no—
1547C22—41no—
1548C22—43no—
1549C22—41no—
1550C22—41no—
1551C22—43no—
1552C22—41no—
1553C22—41no—
1554C22—43no—
1555C22—41no—
1556C22—41no—
1557C22—43no—
1558C22—43no—
1559C22—41no—
1560C22—41no—
1561C22—43no—
1562C22—41no—
1563C22—43no—
1564C22—43no—
1565C22—41no—
1566C22—41no—
1567C22—43no—
1568C22—43no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—43no—
1573C22—43no—
1574C22—43no—
1575C22—41no—
1576C22—41no—
1577C22—43no—
1578C22—41no—
1579C22—41no—
1580C22—43no—
1581C22—43no—
1582C22—824no—
1583C22C24×D411yescharacteristic
1584C22C22×H(5,𝔽2)11yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C22×2−1+411yescharacteristic
1587C22C2×#58511yescharacteristic
1588C22H(7,𝔽2)11yescharacteristic
1589C222−1+611yescharacteristic
1590C4—26no—
1591C4—26no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—43no—
1598C4—43no—
1599C4—41no—
1600C4—41no—
1601C4—43no—
1602C4—43no—
1603C4—41no—
1604C4—43no—
1605C4—41no—
1606C4—43no—
1607C4—41no—
1608C4—41no—
1609C4—43no—
1610C4—43no—
1611C4—43no—
1612C4—43no—
1613C4C2×#535112yes—
1614C2—42no—
1615C2—46no—
1616C2—42no—
1617C2—83no—
1618C2—81no—
1619C2—81no—
1620C2—83no—
1621C2C22×#53511yescharacteristic
1622C2#6289711yescharacteristic
1623C2#6291711yescharacteristic
1624C2#6298711yescharacteristic
1625C2D4×2−1+411yescharacteristic
1626C2#6301511yescharacteristic
1627C2#6305211yescharacteristic
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×#3489C2semidirect
2. C2×#3522C2semidirect
3. #52164C2semidirect
4. #42683C2semidirect
5. #42648C2semidirect
6. #42478C2semidirect
7. #42443C2semidirect
8. #42434C2semidirect
9. #42421C2semidirect
10. #39953C2semidirect
11. #39876C2semidirect
12. #39594C2semidirect
13. #39471C2semidirect
14. #38951C2semidirect
15. #38905C2semidirect
16. #37391C2semidirect
17. #37379C2semidirect
18. #37271C2semidirect
19. Q8×#124C2semidirect
20. Q8×#121C2semidirect
21. #36465C2semidirect
22. #36434C2semidirect
23. #36429C2semidirect
24. #36428C2semidirect
25. #35948C2semidirect
26. #35927C2semidirect
27. #35831C2semidirect
28. #35757C2semidirect
29. #35737C2semidirect
30. #35687C2semidirect
31. #34263C2semidirect
36. C2×#559C22semidirect
37. C2×Q82C22semidirect
38. C2×#554C22semidirect
44. C2×D4×Q8C22semidirect
45. C2×D4×Q8C22semidirect
51. C2×#548C22semidirect
52. C2×#548C22semidirect
53. C2×#548C22semidirect
56. C2×#547C22semidirect
57. C2×#547C22semidirect
60. C2×#542C22semidirect
61. C2×#542C22semidirect
64. C2×#532C22semidirect
65. C2×#529C22semidirect
69. C2×#520C22semidirect
70. C22×C4×Q8C22semidirect
71. #2862C22semidirect
72. #2858C22semidirect
73. #2857C22semidirect
74. #2850C22semidirect
77. #2816C22semidirect
78. #2813C22semidirect
79. #2723C22semidirect
80. #2723C22semidirect
82. #2720C22semidirect
83. #2718C22semidirect
84. #2718C22semidirect
86. #2711C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2710C22semidirect
90. #2710C22semidirect
91. #2710C22semidirect
92. #2706C22semidirect
93. #2706C22semidirect
94. #2706C22semidirect
95. #2706C22semidirect
96. #2706C22semidirect
97. #2703C22semidirect
98. #2703C22semidirect
100. #2696C22semidirect
102. #2692C22semidirect
103. #2692C22semidirect
104. #2692C22semidirect
109. #2676C22semidirect
110. #2673C22semidirect
114. #2661C22semidirect
115. #2658C22semidirect
116. #2640C22semidirect
117. #2635C22semidirect
119. #2623C22semidirect
120. #2621C22semidirect
121. #2620C22semidirect
122. #2620C22semidirect
123. #2616C22semidirect
124. #2615C22semidirect
125. #2615C22semidirect
126. #2592C22semidirect
127. #2568C22semidirect
129. #2547C22semidirect
130. #2547C22semidirect
131. #2546C22semidirect
132. #2545C22semidirect
133. #2544C22semidirect
135. #2542C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
138. #2541C22semidirect
141. #2540C22semidirect
142. #2540C22semidirect
143. #2540C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
147. #2537C22semidirect
148. #2536C22semidirect
150. #2502C22semidirect
153. #2492C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
156. #2492C22semidirect
157. #2491C22semidirect
158. #2491C22semidirect
159. #2487C22semidirect
160. #2436C22semidirect
162. #2434C22semidirect
166. #2432C22semidirect
167. #2432C22semidirect
170. #2431C22semidirect
171. #2431C22semidirect
172. #2431C22semidirect
174. #2429C22semidirect
175. #2429C22semidirect
176. #2428C22semidirect
178. #2427C22semidirect
179. #2427C22semidirect
180. #2426C22semidirect
183. #2417C22semidirect
184. #2417C22semidirect
185. #2417C22semidirect
186. #2417C22semidirect
187. #2416C22semidirect
188. #2416C22semidirect
189. #2414C22semidirect
191. #2409C22semidirect
192. #2409C22semidirect
199. #2407C22semidirect
200. #2407C22semidirect
201. #2407C22semidirect
202. #2407C22semidirect
204. #2398C22semidirect
207. #2392C22semidirect
208. #2388C22semidirect
209. #2388C22semidirect
210. #2357C22semidirect
211. #2354C22semidirect
212. #2351C22semidirect
213. Q8×C4⋊C4C22semidirect
214. #2345C22semidirect
215. #2344C22semidirect
222. Q8×C22⋊C4C22semidirect
223. Q8×C22⋊C4C22semidirect
224. Q8×C22⋊C4C22semidirect
225. Q8×C22⋊C4C22semidirect
227. #2319C22semidirect
228. #2314C22semidirect
229. #2311C22semidirect
230. C4×#127C22semidirect
233. C4×#121C22semidirect
236. #2298C22semidirect
237. #2293C22semidirect
238. #2276C22semidirect
239. C42×Q8C22semidirect
378. #520D4semidirect
1341. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#35222
#521642
#426832
#426482
#424782
#424432
#424342
#424212
#399532
#398762
#395942
#394712
#389512
#389052
#373912
#373792
#372712
Q8×#1242
Q8×#1212
#364652
#364342
#364292
#364282
#359482
#359272
#358312
#357572
#357372
#356872
#342632