Finite Group Databasebeta

← #7693362

Subgroups — #7693362

Order 512.

8135 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3486C211yesmaximal, characteristic, complemented
3#59809C213yesmaximal, complemented
4#59417C213yesmaximal, complemented
5#59409C213yesmaximal, complemented
6#59093C213yesmaximal, complemented
7#59023C213yesmaximal, complemented
8#45316C213yesmaximal, complemented
9#45289C213yesmaximal, complemented
10#45146C213yesmaximal, complemented
11#45114C213yesmaximal, complemented
12#39439C213yesmaximal, complemented
13#39418C213yesmaximal, complemented
14#38027C213yesmaximal, complemented
15#37839C213yesmaximal, complemented
16#36575C211yesmaximal, characteristic, complemented
17Q8×#124C211yesmaximal, characteristic, complemented
18#36482C211yesmaximal, characteristic, complemented
19#36434C211yesmaximal, characteristic, complemented
20#36430C211yesmaximal, characteristic, complemented
21#36303C213yesmaximal, complemented
22#36147C213yesmaximal, complemented
23#35983C211yesmaximal, characteristic, complemented
24#35757C211yesmaximal, characteristic, complemented
25#35737C211yesmaximal, characteristic, complemented
26#35711C211yesmaximal, characteristic, complemented
27#34829C213yesmaximal, complemented
28#34312C211yesmaximal, characteristic, complemented
29#34259C211yesmaximal, characteristic, complemented
30C4×#548C211yesmaximal, characteristic, complemented
31C2×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C24×Q8C2211yescharacteristic
34#3522—216no—
35#3486—216no—
36C2×#559C2213yescomplemented
37C2×Q82C2211yescharacteristic, complemented
38C2×#554C2213yescomplemented
39C2×#550C2211yescharacteristic, complemented
40C2×D4×Q8C2211yescharacteristic
41C2×D4×Q8C2213yes—
42C2×D4×Q8C2211yescharacteristic
43C2×D4×Q8C2213yes—
44C2×#548C2213yes—
45C2×#548C2211yescharacteristic
46C2×#548C2213yes—
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic
49C2×#548C2211yescharacteristic
50C2×#548C2211yescharacteristic
51C2×#548C2211yescharacteristic, complemented
52C2×#547C2213yes—
53C2×#547C2213yes—
54C2×#542C2213yescomplemented
55C2×#542C2213yescomplemented
56C2×#536C2213yes—
57C2×#536C2213yes—
58C2×#532C2213yes—
59C2×#529C2213yes—
60C2×#525C2213yes—
61C2×#525C2213yes—
62C2×#520C2211yescharacteristic, complemented
63C2×#520C2211yescharacteristic, complemented
64C2×#519C2211yescharacteristic
65C2×C4×#41C2211yescharacteristic, complemented
66C22×C4×Q8C2211yescharacteristic
67C22×C4×Q8C2211yescharacteristic
68#2862C2213yescomplemented
69#2855C2213yes—
70#2850C2213yes—
71#2850C2213yescomplemented
72#2847C2213yes—
73#2716C2216yescomplemented
74#2713C2216yescomplemented
75#2712C2216yescomplemented
76#2706C2216yes—
77#2703C2216yes—
78#2700C2216yescomplemented
79#2700C2216yescomplemented
80#2700C2216yescomplemented
81#2698C2216yescomplemented
82#2696C2216yes—
83#2693C2216yes—
84#2692C2216yes—
85#2687C2216yes—
86#2687C2216yescomplemented
87#2628C2213yes—
88#2625C2213yescomplemented
89#2621C2213yescomplemented
90#2615C2213yes—
91#2581C2213yescomplemented
92#2568C2213yescomplemented
93#2568C2213yescomplemented
94#2563C2213yes—
95#2560C2213yes—
96#2559C2213yes—
97#2558C2213yes—
98#2557C2213yes—
99#2557C2216yes—
100#2557C2216yescomplemented
101#2556C2213yes—
102#2555C2213yes—
103#2554C2213yes—
104#2553C2213yes—
105#2549C2213yes—
106#2549C2216yescomplemented
107#2547C2213yescomplemented
108#2545C2213yescomplemented
109#2544C2213yescomplemented
110#2543C2213yes—
111#2539C2213yes—
112#2536C2213yescomplemented
113#2535C2213yes—
114#2535C2213yes—
115#2534C2213yes—
116#2503C2213yes—
117#2503C2213yescomplemented
118#2492C2213yes—
119#2492C2213yes—
120#2492C2213yescomplemented
121#2492C2216yescomplemented
122#2492C2213yescomplemented
123#2492C2216yescomplemented
124#2488C2213yes—
125#2488C2216yes—
126#2488C2216yescomplemented
127#2488C2216yescomplemented
128#2487C2213yes—
129#2486C2213yes—
130#2472C2211yescharacteristic
131#2459C2216yes—
132#2459C2216yescomplemented
133#2457C2216yes—
134#2457C2216yes—
135#2451C2213yescomplemented
136#2451C2213yescomplemented
137#2450C2216yes—
138#2450C2216yescomplemented
139#2447C2213yescomplemented
140#2447C2213yescomplemented
141#2446C2213yescomplemented
142#2446C2213yescomplemented
143#2444C2216yes—
144#2439C2213yes—
145#2439C2213yes—
146#2436C2213yes—
147#2436C2213yes—
148#2436C2213yes—
149#2436C2213yescomplemented
150#2431C2213yes—
151#2431C2213yescomplemented
152#2430C2216yes—
153#2429C2213yescomplemented
154#2428C2213yes—
155#2427C2213yes—
156#2427C2213yescomplemented
157#2427C2213yescomplemented
158#2426C2213yescomplemented
159#2425C2213yes—
160#2424C2213yes—
161#2421C2213yescomplemented
162#2421C2213yescomplemented
163#2420C2213yes—
164#2420C2213yes—
165#2419C2216yes—
166#2417C2213yes—
167#2417C2213yes—
168#2417C2213yescomplemented
169#2416C2213yes—
170#2415C2213yescomplemented
171#2414C2213yes—
172#2409C2213yes—
173#2409C2213yes—
174#2409C2213yes—
175#2409C2213yescomplemented
176#2407C2213yes—
177#2407C2213yescomplemented
178#2404C2216yes—
179#2396C2213yes—
180#2395C2213yes—
181#2392C2213yes—
182#2388C2213yes—
183#2367C2213yescomplemented
184#2367C2213yescomplemented
185#2364C2216yes—
186#2363C2213yes—
187#2362C2213yescomplemented
188#2361C2213yes—
189#2360C2213yescomplemented
190#2352C2213yes—
191#2352C2213yes—
192#2351C2211yescharacteristic, complemented
193#2351C2211yescharacteristic, complemented
194#2351C2211yescharacteristic, complemented
195#2351C2211yescharacteristic, complemented
196#2341C2211yescharacteristic, complemented
197#2341C2211yescharacteristic, complemented
198Q8×C22⋊C4C2213yes—
199Q8×C22⋊C4C2211yescharacteristic
200Q8×C22⋊C4C2213yes—
201Q8×C22⋊C4C2213yes—
202Q8×C22⋊C4C2213yes—
203Q8×C22⋊C4C2211yescharacteristic
204Q8×C22⋊C4C2211yescharacteristic
205Q8×C22⋊C4C2211yescharacteristic
206Q8×C22⋊C4C2211yescharacteristic
207Q8×C22⋊C4C2211yescharacteristic
208Q8×C22⋊C4C2211yescharacteristic
209Q8×C22⋊C4C2211yescharacteristic, complemented
210Q8×C22⋊C4C2211yescharacteristic, complemented
211Q8×C22⋊C4C2211yescharacteristic, complemented
212#2339C2216yes—
213#2339C2213yes—
214#2339C2213yes—
215#2339C2216yes—
216#2339C2213yescomplemented
217#2339C2213yescomplemented
218#2324C2213yes—
219#2323C2213yescomplemented
220#2311C2213yes—
221#2310C2213yescomplemented
222C4×#124C2213yes—
223C4×#124C2213yescomplemented
224C4×#124C2213yescomplemented
225C4×C22⋊Q8C2213yescomplemented
226C4×#123C2213yes—
227C4×#121C2213yes—
228C4×#121C2213yes—
229C4×#121C2213yes—
230C4×#120C2213yes—
231#2297C2213yes—
232C2×#391C2213yes—
233C2×#391C2213yes—
234C2×#391C2213yescomplemented
235#2293C2213yes—
236C2×#380C2213yes—
237C42×Q8C2211yescharacteristic, complemented
238C42×D4C2213yes—
239C2×C4×C22⋊C4C2213yes—
240C2×2−1+4—28no—
241C2×2−1+4—28no—
242C2×2−1+4—44no—
243C22×#41C2311yescharacteristic
244C22×#41C2313yes—
245C22×#41C2313yes—
246C22×#41C2313yes—
247C22×#41C2311yescharacteristic
248C22×#41C2316yes—
249C23×Q8—28no—
250C23×Q8—28no—
251C23×Q8—44no—
252C23×Q8C2311yescharacteristic
253C23×Q8C2311yescharacteristic
254C23×Q8C2313yes—
255C23×Q8C2313yes—
256C23×Q8C2313yes—
257C23×Q8C2313yes—
258C23×Q8C2311yescharacteristic
259C23×Q8C2311yescharacteristic
260C24×C4C2313yes—
261#559—224no—
262Q82—28no—
263#554—224no—
264#550—28no—
265D4×Q8—28no—
266D4×Q8—224no—
267D4×Q8—28no—
268D4×Q8—224no—
269#548—28no—
270#548—28no—
271#548—28no—
272#548—224no—
273#548—224no—
274#548—44no—
275#548—44no—
276#548D4116yescomplemented
277#547—224no—
278#547—224no—
279#542—224no—
280#542—224no—
281#536—224no—
282#536—224no—
283#532—224no—
284C2×C4⋊Q8C2313yes—
285C2×C4⋊Q8C2313yes—
286C2×C4⋊Q8C2313yes—
287C2×C4⋊Q8C2313yes—
288C2×C4⋊Q8C2316yes—
289C2×C4⋊Q8C2313yes—
290C2×#127C2313yes—
291#529—224no—
292C2×#126C2313yes—
293C2×#126C2313yes—
294C2×#125C2313yes—
295C2×#124C2313yes—
296C2×#124C2313yes—
297C2×#124C2316yes—
298C2×#124C2313yes—
299C2×#124C2316yes—
300C2×#124C2313yes—
301C2×#124C2311yescharacteristic
302C2×#124C2313yes—
303C2×#124C2313yes—
304C2×#124C2313yes—
305#525—224no—
306#525—224no—
307C2×#123C2316yes—
308C2×#123C2313yes—
309C2×#123C2313yes—
310C2×#123C2313yes—
311C2×#123C2313yes—
312C2×#123C2316yes—
313C2×#123C2316yes—
314C2×#123C2313yes—
315C2×C22⋊Q8C2313yes—
316C2×C22⋊Q8C2313yes—
317C2×C22⋊Q8C2313yes—
318C2×C22⋊Q8C2313yes—
319C2×C22⋊Q8C2313yes—
320C2×C22⋊Q8C2313yes—
321C2×C22⋊Q8C2313yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2313yes—
324C2×C22⋊Q8C2313yes—
325C2×C22⋊Q8C2316yes—
326C2×C22⋊Q8C2316yes—
327C2×C22⋊Q8C2316yes—
328C2×C22⋊Q8C2316yes—
329C2×C22⋊Q8C2313yes—
330C2×C22⋊Q8C2313yes—
331C2×C22⋊Q8C2313yes—
332C2×#121C2313yes—
333C2×#121C2313yes—
334C2×#121C2313yes—
335C2×#121C2313yes—
336C2×#121C2313yes—
337C2×#121C2313yes—
338C2×#121C2313yes—
339C2×#121C2313yes—
340C2×#121C2313yes—
341C2×#121C2313yes—
342C2×#121C2313yes—
343C2×#121C2313yes—
344C2×#121C2313yes—
345C2×#120C2313yes—
346C2×#120C2311yescharacteristic
347C2×#120C2313yes—
348#520—28no—
349#520—28no—
350#519—28no—
351C4×#41—44no—
352C2×C4×Q8—28no—
353C2×C4×Q8—44no—
354C2×C4×Q8C2313yes—
355C2×C4×Q8C2313yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2313yes—
364C2×C4×Q8C2313yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2313yes—
367C2×C4×Q8C2313yes—
368C2×C4×Q8C2313yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×D4C2313yes—
371C2×C4×D4C2313yes—
372C2×C4×D4C2316yes—
373C2×C4×D4C2313yes—
374C2×C4×D4C2313yes—
375C2×C4×D4C2313yes—
376C2×C4×D4C2313yes—
377C2×C4×D4C2316yes—
378C2×C4×D4C2316yes—
379C2×C4×D4C2313yes—
380C2×C4×D4C2313yes—
381C2×C4×D4C2313yes—
382C2×C4×D4C2313yes—
383C2×C4×D4C2313yes—
384C2×C4×D4C2313yes—
385C2×C4×D4C2313yes—
386C2×C4×D4C2313yes—
387C2×C4×D4C2313yes—
388C2×C4×D4C2313yes—
389C2×C4×D4C2313yes—
390C2×#117C2313yes—
391C2×#117C2313yes—
392C2×#117C2313yes—
393C2×#117C2313yes—
394C2×#117C2313yes—
395C22×C4⋊C4C2313yes—
396C22×C4⋊C4C2313yes—
397C22×C4⋊C4C2313yes—
398C22×C4⋊C4C2313yes—
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2313yes—
401C22×C42C2313yes—
402C22×C42C2313yes—
403C22×C42C2313yes—
404#400C2313yes—
405#400C2316yes—
406#400C2316yes—
407#400C2316yes—
408#400C2316yes—
409#400C2313yes—
410#400C2316yes—
411#400C2316yes—
412#399C2313yes—
413#399C2313yes—
414#398C2313yes—
415#398C2313yes—
416#398C2316yes—
417#398C2313yes—
418#398C2313yes—
419#398C2316yes—
420#398C2316yes—
421#397C2311yescharacteristic
422#397C2316yes—
423#397C2316yes—
424#397C2316yes—
425#397C2316yes—
426#397C2313yes—
427#397C2313yes—
428#397C2313yes—
429#397C2316yes—
430#397C2316yes—
431#396C2313yes—
432#396C2313yes—
433#396C2313yes—
434#396C2313yes—
435#396C2316yes—
436#396C2316yes—
437#395C2313yes—
438#395C2316yes—
439#395C2313yes—
440#395C2316yes—
441#394C2313yes—
442#394C2311yescharacteristic
443#394C2313yes—
444#394C2313yes—
445#394C2311yescharacteristic
446#394C2313yes—
447#394C2313yes—
448#394C2313yes—
449#394C2316yes—
450#394C2316yes—
451#394C2316yes—
452#393C2313yes—
453#393C2316yes—
454#393C2316yes—
455#393C2316yes—
456#393C2316yes—
457#393C2311yescharacteristic
458#393C2316yes—
459#393C2316yes—
460#393C2316yes—
461#392C2313yes—
462#392C2316yes—
463#392C2316yes—
464#392C2313yes—
465#392C2313yes—
466#392C2313yes—
467#392C2316yes—
468#391C2313yes—
469#391C2316yes—
470#391C2313yes—
471#391C2313yes—
472#391C2313yes—
473#391C2313yes—
474#391C2313yes—
475#391C2316yes—
476#391C2316yes—
477#391C2313yes—
478#391C2313yes—
479#391C2313yes—
480#391C2313yes—
481#391C2313yes—
482#391C2313yes—
483#391C2313yes—
484#391C2313yes—
485#391C2313yes—
486#391C2316yes—
487#391C2316yes—
488#391C2313yes—
489#391C2313yes—
490#391C2313yes—
491#391C2316yes—
492#391C2316yes—
493#391C2316yes—
494#391C2316yes—
495#391C2313yes—
496#391C2313yes—
497#391C2313yes—
498#391C2313yes—
499#391C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2313yes—
510#390C2311yescharacteristic
511#389C2313yes—
512#389C2313yes—
513#389C2313yes—
514#389C2313yes—
515#389C2313yes—
516#389C2313yes—
517#389C2313yes—
518#389C2313yes—
519#389C2313yes—
520#389C2313yes—
521#389C2313yes—
522#389C2313yes—
523#388C2313yes—
524#388C2313yes—
525#388C2313yes—
526#388C2316yes—
527#388C2316yes—
528#388C2316yes—
529#388C2316yes—
530#388C2313yes—
531#388C2316yes—
532#388C2313yes—
533#388C2316yes—
534#388C2316yes—
535#388C2316yes—
536#388C2313yes—
537#388C2313yes—
538#388C2313yes—
539#388C2313yes—
540#388C2313yes—
541#388C2313yes—
542#388C2311yescharacteristic
543#388C2311yescharacteristic
544#388C2313yes—
545#387C2313yes—
546#387C2316yes—
547#387C2316yes—
548#387C2316yes—
549#387C2316yes—
550#387C2316yes—
551#387C2316yes—
552#387C2313yes—
553#386C2313yes—
554#386C2316yes—
555#386C2316yes—
556#386C2316yes—
557#386C2316yes—
558#386C2316yes—
559#386C2316yes—
560#386C2313yes—
561#386C2316yes—
562#386C2316yes—
563#386C2316yes—
564#386C2313yes—
565#386C2313yes—
566#386C2313yes—
567#386C2316yes—
568#386C2316yes—
569#386C2313yes—
570#386C2313yes—
571#386C2316yes—
572#386C2316yes—
573#386C2316yes—
574#386C2316yes—
575#386C2316yes—
576#386C2311yescharacteristic
577#386C2313yes—
578#386C2313yes—
579#386C2313yes—
580#386C2311yescharacteristic
581#385C2316yes—
582#385C2313yes—
583#385C2316yes—
584#385C2316yes—
585#385C2313yes—
586#385C2313yes—
587#385C2313yes—
588#385C2316yes—
589#382C2316yes—
590#382C2313yes—
591#382C2313yes—
592#382C2313yes—
593#382C2313yes—
594#382C2313yes—
595#381C2316yes—
596#381C2316yes—
597#381C2313yes—
598#381C2316yes—
599#381C2316yes—
600#381C2316yes—
601#380C2313yes—
602#380C2313yes—
603#380C2313yes—
604#380C2313yes—
605#380C2313yes—
606#380C2313yes—
607#380C2313yes—
608#380C2313yes—
609#380C2313yes—
610#380C2316yes—
611#380C2316yes—
612#380C2313yes—
613#380C2313yes—
614#380C2316yes—
615#380C2316yes—
616#380C2313yes—
617#380C2313yes—
618#380C2313yes—
619#379C2311yescharacteristic
620C4×C4⋊C4C2313yes—
621C4×C4⋊C4C2313yes—
622C4×C4⋊C4C2313yes—
623C4×C4⋊C4C2313yes—
624C4×C4⋊C4C2313yes—
625C4×C4⋊C4C2313yes—
626C4×C4⋊C4C2313yes—
627C4×C4⋊C4C2313yes—
628C4×C4⋊C4C2313yes—
629C4×C22⋊C4C2313yes—
630C4×C22⋊C4C2313yes—
631C4×C22⋊C4C2313yes—
632C4×C22⋊C4C2316yes—
633C4×C22⋊C4C2316yes—
634C4×C22⋊C4C2313yes—
635C4×C22⋊C4C2313yes—
636C4×C22⋊C4C2313yes—
637C4×C22⋊C4C2313yes—
638C4×C22⋊C4C2313yes—
639C4×C22⋊C4C2313yes—
640C4×C22⋊C4C2313yes—
641C4×C22⋊C4C2313yes—
642C4×C22⋊C4C2313yes—
643C4×C22⋊C4C2313yes—
644C4×C22⋊C4C2313yes—
645C4×C22⋊C4C2313yes—
646C4×C22⋊C4C2313yes—
647C4×C22⋊C4C2313yes—
648C4×C22⋊C4C2316yes—
649C4×C22⋊C4C2313yes—
650C4×C22⋊C4C2311yescharacteristic
651C4×C22⋊C4C2313yes—
652C2×#95C2316yes—
653C2×#95C2316yes—
654C2×#95C2313yes—
655C2×#95C2316yes—
656C2×#95C2313yes—
657C43C2313yes—
658C25C2411yescharacteristic
6592−1+4—464no—
660C2×#41—24no—
661C2×#41—24no—
662C2×#41—24no—
663C2×#41—212no—
664C2×#41—24no—
665C2×#41—24no—
666C2×#41—212no—
667C2×#41—212no—
668C2×#41—224no—
669C2×#41—212no—
670C2×#41—212no—
671C2×#41—212no—
672C2×#41—46no—
673C2×#41—412no—
674C2×#41—412no—
675C2×#41—46no—
676C2×#41—46no—
677C2×#41C2×D418yes—
678C22×Q8—24no—
679C22×Q8—24no—
680C22×Q8—24no—
681C22×Q8—24no—
682C22×Q8—212no—
683C22×Q8—212no—
684C22×Q8—24no—
685C22×Q8—24no—
686C22×Q8—212no—
687C22×Q8—212no—
688C22×Q8—24no—
689C22×Q8—212no—
690C22×Q8—24no—
691C22×Q8—24no—
692C22×Q8—24no—
693C22×Q8—212no—
694C22×Q8—212no—
695C22×Q8—212no—
696C22×Q8—46no—
697C22×Q8—46no—
698C22×Q8—46no—
699C22×Q8—46no—
700C22×Q8—464no—
701C22×Q8C2×D418yes—
702C22×Q8#4118yescomplemented
703C22×Q8C2413yes—
704C22×Q8C2413yes—
705C22×Q8C2411yescharacteristic
706C22×Q8C2416yes—
707C22×Q8C2413yes—
708C22×Q8C2413yes—
709C22×Q8C2413yes—
710C22×Q8C2416yes—
711C22×Q8C2411yescharacteristic
712C22×D4C2411yescharacteristic
713C22×D4C2413yes—
714C22×D4C2413yes—
715C22×D4C2413yes—
716C22×D4C2411yescharacteristic
717C22×D4C2413yes—
718C22×D4C2413yes—
719C22×D4C2411yescharacteristic
720C22×D4C2413yes—
721C22×D4C2413yes—
722C22×D4C2413yes—
723C22×D4C2413yes—
724C22×D4C2413yes—
725C22×D4C2416yes—
726C22×D4C2413yes—
727C23×C4—212no—
728C23×C4—212no—
729C23×C4—46no—
730C23×C4C2413yes—
731C23×C4C2413yes—
732C23×C4C2413yes—
733C23×C4C2413yes—
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2413yes—
737C23×C4C2413yes—
738C23×C4C2416yes—
739C23×C4C2413yes—
740C23×C4C2413yes—
741C23×C4C2413yes—
742C23×C4C2413yes—
743C23×C4C2413yes—
744C23×C4C2416yes—
745C23×C4C2416yes—
746C23×C4C2413yes—
747C23×C4C2413yes—
748C4⋊Q8—212no—
749C4⋊Q8—212no—
750C4⋊Q8—224no—
751C4⋊Q8—212no—
752C4⋊Q8—212no—
753C4⋊Q8—212no—
754#127—212no—
755#126—212no—
756#126—212no—
757#125—212no—
758#124—212no—
759#124—212no—
760#124—212no—
761#124—212no—
762#124—224no—
763#124—224no—
764#124—24no—
765#124—46no—
766#124—46no—
767#124C2×D4124yes—
768#123—212no—
769#123—212no—
770#123—224no—
771#123—212no—
772#123—212no—
773#123—224no—
774#123—224no—
775#123—46no—
776C22⋊Q8—212no—
777C22⋊Q8—212no—
778C22⋊Q8—212no—
779C22⋊Q8—212no—
780C22⋊Q8—212no—
781C22⋊Q8—212no—
782C22⋊Q8—212no—
783C22⋊Q8—212no—
784C22⋊Q8—224no—
785C22⋊Q8—212no—
786C22⋊Q8—24no—
787C22⋊Q8—224no—
788C22⋊Q8—224no—
789C22⋊Q8—224no—
790C22⋊Q8—46no—
791C22⋊Q8—46no—
792C22⋊Q8C2×D4124yes—
793#121—212no—
794#121—212no—
795#121—212no—
796#121—212no—
797#121—212no—
798#121—212no—
799#121—212no—
800#121—212no—
801#121—212no—
802#121—46no—
803#121—46no—
804#121—46no—
805#121C2×D4124yes—
806#120—212no—
807#120—24no—
808#120—46no—
809C4×Q8—24no—
810C4×Q8—212no—
811C4×Q8—24no—
812C4×Q8—212no—
813C4×Q8—24no—
814C4×Q8—24no—
815C4×Q8—24no—
816C4×Q8—24no—
817C4×Q8—24no—
818C4×Q8—24no—
819C4×Q8—212no—
820C4×Q8—212no—
821C4×Q8—212no—
822C4×Q8—46no—
823C4×Q8—46no—
824C4×Q8C2×D418yes—
825C4×D4—212no—
826C4×D4—212no—
827C4×D4—224no—
828C4×D4—212no—
829C4×D4—212no—
830C4×D4—212no—
831C4×D4—212no—
832C4×D4—212no—
833C4×D4—212no—
834C4×D4—224no—
835C4×D4—224no—
836C4×D4—212no—
837C4×D4—212no—
838C4×D4—46no—
839C4×D4—46no—
840C4×D4—46no—
841C4×D4—46no—
842C4×D4—46no—
843C4×D4—46no—
844C4×D4C2×D4124yes—
845#117—212no—
846#117—212no—
847#117—212no—
848#117—212no—
849#117—46no—
850C2×C4⋊C4—212no—
851C2×C4⋊C4—212no—
852C2×C4⋊C4—212no—
853C2×C4⋊C4—46no—
854C2×C4⋊C4C2413yes—
855C2×C4⋊C4C2413yes—
856C2×C4⋊C4C2413yes—
857C2×C4⋊C4C2413yes—
858C2×C4⋊C4C2413yes—
859C2×C4⋊C4C2413yes—
860C2×C4⋊C4C2413yes—
861C2×C4⋊C4C2416yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2413yes—
865C2×C4⋊C4C2413yes—
866C2×C4⋊C4C2413yes—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
871C2×C4⋊C4C2416yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2416yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2416yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—46no—
895C2×C22⋊C4C2411yescharacteristic
896C2×C22⋊C4C2411yescharacteristic
897C2×C22⋊C4C2411yescharacteristic
898C2×C22⋊C4C2413yes—
899C2×C22⋊C4C2411yescharacteristic
900C2×C22⋊C4C2413yes—
901C2×C22⋊C4C2413yes—
902C2×C22⋊C4C2413yes—
903C2×C22⋊C4C2413yes—
904C2×C22⋊C4C2413yes—
905C2×C22⋊C4C2413yes—
906C2×C22⋊C4C2411yescharacteristic
907C2×C22⋊C4C2411yescharacteristic
908C2×C22⋊C4C2411yescharacteristic
909C2×C22⋊C4C2411yescharacteristic
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2416yes—
915C2×C22⋊C4C2416yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2416yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2411yescharacteristic
923C2×C22⋊C4C2411yescharacteristic
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2416yes—
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⋊C4C2416yes—
947C2×C22⋊C4C2416yes—
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2416yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C42—212no—
953C2×C42—46no—
954C2×C42—46no—
955C2×C42C2413yes—
956C2×C42C2413yes—
957C2×C42C2416yes—
958C2×C42C2413yes—
959C2×C42C2413yes—
960C2×C42C2413yes—
961C2×C42C2413yes—
962C2×C42C2413yes—
963C2×C42C2413yes—
964C2×C42C2413yes—
965C2×C42C2413yes—
966C2×C42C2411yescharacteristic
967C2×C42C2413yes—
968C2×C42C2413yes—
969C2×C42C2413yes—
970C2×C42C2413yes—
971C2×C42C2413yes—
972C2×C42C2413yes—
973C2×C42C2411yescharacteristic
974C2×C42C2413yes—
975#95C2413yes—
976#95C2416yes—
977#95C2413yes—
978#95C2413yes—
979#95C2413yes—
980#95C2413yes—
981#95C2413yes—
982#95C2413yes—
983#95C2413yes—
984#95C2413yes—
985#95C2413yes—
986#95C2413yes—
987#95C2416yes—
988#95C2416yes—
989#95C2416yes—
990#95C2416yes—
991#95C2416yes—
992#95C2416yes—
993#95C2411yescharacteristic
994#95C2411yescharacteristic
995#95C2411yescharacteristic
996#95C2413yes—
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2416yes—
1004#95C2413yes—
1005#95C2416yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2416yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2416yes—
1013#95C2411yescharacteristic
1014#95C2411yescharacteristic
1015#95C2411yescharacteristic
1016#95C2413yes—
1017#95C2413yes—
1018#95C2416yes—
1019#95C2416yes—
1020#95C2416yes—
1021#95C2416yes—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—41no—
1028C24—41no—
1029C24C2513yes—
1030C24C2511yescharacteristic
1031C24C2513yes—
1032C24C2511yescharacteristic
1033C24C2511yescharacteristic
1034C24C2511yescharacteristic
1035#41—232no—
1036#41—448no—
1037#41—448no—
1038#41—448no—
1039#41—416no—
1040#41—848no—
1041C2×Q8—232no—
1042C2×Q8—232no—
1043C2×Q8—26no—
1044C2×Q8—22no—
1045C2×Q8—212no—
1046C2×Q8—26no—
1047C2×Q8—26no—
1048C2×Q8—26no—
1049C2×Q8—212no—
1050C2×Q8—26no—
1051C2×Q8—212no—
1052C2×Q8—26no—
1053C2×Q8—26no—
1054C2×Q8—26no—
1055C2×Q8—26no—
1056C2×Q8—26no—
1057C2×Q8—26no—
1058C2×Q8—26no—
1059C2×Q8—22no—
1060C2×Q8—46no—
1061C2×Q8—43no—
1062C2×Q8—41no—
1063C2×Q8—46no—
1064C2×Q8—46no—
1065C2×Q8—448no—
1066C2×Q8—448no—
1067C2×Q8—448no—
1068C2×Q8—448no—
1069C2×Q8—416no—
1070C2×Q8—416no—
1071C2×Q8C22×D4112yes—
1072C2×Q8C22×D414yes—
1073C2×Q8C2×#41112yes—
1074C2×Q8C2×#4114yes—
1075C2×Q8H(5,𝔽2)14yes—
1076C2×D4—26no—
1077C2×D4—26no—
1078C2×D4—26no—
1079C2×D4—22no—
1080C2×D4—26no—
1081C2×D4—26no—
1082C2×D4—26no—
1083C2×D4—26no—
1084C2×D4—22no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—22no—
1088C2×D4—26no—
1089C2×D4—22no—
1090C2×D4—26no—
1091C2×D4—22no—
1092C2×D4—212no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—22no—
1096C2×D4—26no—
1097C2×D4—22no—
1098C2×D4—26no—
1099C2×D4—26no—
1100C2×D4—26no—
1101C2×D4—26no—
1102C2×D4—26no—
1103C2×D4—26no—
1104C2×D4—41no—
1105C2×D4—43no—
1106C2×D4—43no—
1107C2×D4—41no—
1108C2×D4—43no—
1109C2×D4—43no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—43no—
1113C2×D4—43no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—46no—
1118C2×D4—46no—
1119C2×D4C22×D4112yes—
1120C2×D4C22×D4112yes—
1121C22×C4—26no—
1122C22×C4—26no—
1123C22×C4—26no—
1124C22×C4—26no—
1125C22×C4—26no—
1126C22×C4—26no—
1127C22×C4—22no—
1128C22×C4—26no—
1129C22×C4—26no—
1130C22×C4—212no—
1131C22×C4—26no—
1132C22×C4—26no—
1133C22×C4—22no—
1134C22×C4—26no—
1135C22×C4—212no—
1136C22×C4—26no—
1137C22×C4—26no—
1138C22×C4—26no—
1139C22×C4—26no—
1140C22×C4—26no—
1141C22×C4—26no—
1142C22×C4—26no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—26no—
1146C22×C4—212no—
1147C22×C4—26no—
1148C22×C4—26no—
1149C22×C4—26no—
1150C22×C4—26no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—212no—
1154C22×C4—26no—
1155C22×C4—41no—
1156C22×C4—43no—
1157C22×C4—43no—
1158C22×C4—43no—
1159C22×C4—41no—
1160C22×C4—46no—
1161C22×C4—448no—
1162C22×C4—43no—
1163C22×C4—43no—
1164C22×C4—43no—
1165C22×C4—43no—
1166C22×C4—43no—
1167C22×C4—43no—
1168C22×C4—43no—
1169C22×C4—46no—
1170C22×C4—46no—
1171C22×C4—46no—
1172C22×C4—46no—
1173C22×C4C22×D4112yes—
1174C22×C4C22×D4112yes—
1175C22×C4C2×#41112yes—
1176C22×C4C2511yescharacteristic
1177C22×C4C2511yescharacteristic
1178C22×C4C2513yes—
1179C22×C4C2513yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2513yes—
1182C22×C4C2513yes—
1183C22×C4C2513yes—
1184C22×C4C2513yes—
1185C22×C4C2513yes—
1186C22×C4C2513yes—
1187C22×C4C2513yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2513yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2513yes—
1195C22×C4C2513yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2513yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2513yes—
1201C4⋊C4—26no—
1202C4⋊C4—26no—
1203C4⋊C4—26no—
1204C4⋊C4—26no—
1205C4⋊C4—26no—
1206C4⋊C4—212no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—26no—
1210C4⋊C4—26no—
1211C4⋊C4—26no—
1212C4⋊C4—22no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—26no—
1216C4⋊C4—212no—
1217C4⋊C4—26no—
1218C4⋊C4—212no—
1219C4⋊C4—26no—
1220C4⋊C4—26no—
1221C4⋊C4—26no—
1222C4⋊C4—26no—
1223C4⋊C4—26no—
1224C4⋊C4—26no—
1225C4⋊C4—26no—
1226C4⋊C4—26no—
1227C4⋊C4—26no—
1228C4⋊C4—46no—
1229C4⋊C4—43no—
1230C4⋊C4—43no—
1231C4⋊C4—43no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—43no—
1235C4⋊C4—43no—
1236C4⋊C4—43no—
1237C4⋊C4—43no—
1238C4⋊C4C22×D4112yes—
1239C4⋊C4C22×D4112yes—
1240C22⋊C4—26no—
1241C22⋊C4—26no—
1242C22⋊C4—26no—
1243C22⋊C4—22no—
1244C22⋊C4—26no—
1245C22⋊C4—26no—
1246C22⋊C4—212no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—26no—
1252C22⋊C4—26no—
1253C22⋊C4—22no—
1254C22⋊C4—26no—
1255C22⋊C4—26no—
1256C22⋊C4—22no—
1257C22⋊C4—26no—
1258C22⋊C4—26no—
1259C22⋊C4—26no—
1260C22⋊C4—212no—
1261C22⋊C4—26no—
1262C22⋊C4—26no—
1263C22⋊C4—26no—
1264C22⋊C4—212no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—26no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—43no—
1271C22⋊C4—43no—
1272C22⋊C4—43no—
1273C22⋊C4—43no—
1274C22⋊C4—46no—
1275C22⋊C4—46no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—46no—
1279C22⋊C4—43no—
1280C22⋊C4—43no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—43no—
1284C22⋊C4—43no—
1285C22⋊C4—43no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—46no—
1290C22⋊C4—46no—
1291C22⋊C4—43no—
1292C22⋊C4—43no—
1293C22⋊C4C22×D4124yes—
1294C22⋊C4C22×D414yes—
1295C22⋊C4C22×D4112yes—
1296C22⋊C42−1+414yescomplemented
1297C42—26no—
1298C42—26no—
1299C42—26no—
1300C42—26no—
1301C42—212no—
1302C42—26no—
1303C42—26no—
1304C42—26no—
1305C42—26no—
1306C42—26no—
1307C42—26no—
1308C42—22no—
1309C42—41no—
1310C42—43no—
1311C42—43no—
1312C42—43no—
1313C42—43no—
1314C42—43no—
1315C42—43no—
1316C42C22×D4112yes—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—28no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—23no—
1326C23—23no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—23no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—23no—
1336C23—23no—
1337C23—23no—
1338C23—21no—
1339C23—21no—
1340C23—23no—
1341C23—21no—
1342C23—23no—
1343C23—21no—
1344C23—23no—
1345C23—21no—
1346C23—21no—
1347C23—23no—
1348C23—21no—
1349C23—21no—
1350C23—23no—
1351C23—23no—
1352C23—23no—
1353C23—21no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23C23×D416yes—
1361C23C23×D412yes—
1362C23C22×#4112yes—
1363C23C2×2−1+412yes—
1364C23#58512yes—
1365C23#58512yes—
1366C23C2611yescharacteristic
1367Q8—224no—
1368Q8—224no—
1369Q8—44no—
1370Q8—424no—
1371Q8—412no—
1372Q8—412no—
1373Q8—412no—
1374Q8—812no—
1375Q8#546116yes—
1376D4—224no—
1377D4—224no—
1378D4—412no—
1379D4—44no—
1380D4—44no—
1381D4—412no—
1382D4—412no—
1383D4—412no—
1384D4—44no—
1385D4—412no—
1386D4—412no—
1387D4—86no—
1388D4—86no—
1389D4—812no—
1390D4—86no—
1391C2×C4—21no—
1392C2×C4—23no—
1393C2×C4—21no—
1394C2×C4—23no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—23no—
1398C2×C4—23no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—23no—
1402C2×C4—23no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—224no—
1406C2×C4—224no—
1407C2×C4—224no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—23no—
1411C2×C4—21no—
1412C2×C4—23no—
1413C2×C4—23no—
1414C2×C4—23no—
1415C2×C4—21no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—21no—
1419C2×C4—23no—
1420C2×C4—21no—
1421C2×C4—23no—
1422C2×C4—23no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—23no—
1428C2×C4—23no—
1429C2×C4—23no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—23no—
1436C2×C4—23no—
1437C2×C4—21no—
1438C2×C4—23no—
1439C2×C4—23no—
1440C2×C4—23no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—23no—
1445C2×C4—23no—
1446C2×C4—23no—
1447C2×C4—23no—
1448C2×C4—23no—
1449C2×C4—23no—
1450C2×C4—23no—
1451C2×C4—21no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—412no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—412no—
1463C2×C4—412no—
1464C2×C4—424no—
1465C2×C4—412no—
1466C2×C4—412no—
1467C2×C4—412no—
1468C2×C4—412no—
1469C2×C4—86no—
1470C2×C4—812no—
1471C2×C4—86no—
1472C2×C4—812no—
1473C2×C4—86no—
1474C2×C4C23×D416yes—
1475C2×C4C23×D416yes—
1476C2×C4C23×D412yes—
1477C2×C4C23×D412yes—
1478C2×C4C23×D416yes—
1479C2×C4C22×#4116yes—
1480C2×C4C22×#4116yes—
1481C2×C4C2×H(5,𝔽2)16yes—
1482C2×C4C2×2−1+412yes—
1483C2×C4C2×2−1+412yes—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—26no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—26no—
1497C22—22no—
1498C22—26no—
1499C22—416no—
1500C22—41no—
1501C22—43no—
1502C22—41no—
1503C22—43no—
1504C22—41no—
1505C22—43no—
1506C22—41no—
1507C22—41no—
1508C22—43no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—43no—
1514C22—43no—
1515C22—41no—
1516C22—43no—
1517C22—41no—
1518C22—43no—
1519C22—41no—
1520C22—43no—
1521C22—41no—
1522C22—41no—
1523C22—43no—
1524C22—41no—
1525C22—43no—
1526C22#350014yes—
1527C22C24×D411yescharacteristic
1528C22C23×#4111yescharacteristic
1529C22C22×H(5,𝔽2)11yescharacteristic
1530C22C22×2−1+411yescharacteristic
1531C22C2×#58511yescharacteristic
1532C22C2×#58511yescharacteristic
1533C222−1+611yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—26no—
1538C4—22no—
1539C4—26no—
1540C4—26no—
1541C4—41no—
1542C4—43no—
1543C4—41no—
1544C4—43no—
1545C4—41no—
1546C4—43no—
1547C4—41no—
1548C4—43no—
1549C4—43no—
1550C4—43no—
1551C4—41no—
1552C4—43no—
1553C4—41no—
1554C4—43no—
1555C4—41no—
1556C4—43no—
1557C4—43no—
1558C4C2×#546112yes—
1559C2—24no—
1560C2—46no—
1561C2—42no—
1562C2—42no—
1563C2—83no—
1564C2—81no—
1565C2C22×#54611yescharacteristic
1566C2#6278811yescharacteristic
1567C2C2×#350011yescharacteristic
1568C2#6289711yescharacteristic
1569C2D4×2−1+411yescharacteristic
1570C2#6300511yescharacteristic
1571C2#6301511yescharacteristic
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×#3522C2semidirect
2. C2×#3486C2semidirect
3. #59809C2semidirect
4. #59417C2semidirect
5. #59409C2semidirect
6. #59093C2semidirect
7. #59023C2semidirect
8. #45316C2semidirect
9. #45289C2semidirect
10. #45146C2semidirect
11. #45114C2semidirect
12. #39439C2semidirect
13. #39418C2semidirect
14. #38027C2semidirect
15. #37839C2semidirect
16. #36575C2semidirect
17. Q8×#124C2semidirect
18. #36482C2semidirect
19. #36434C2semidirect
20. #36430C2semidirect
21. #36303C2semidirect
22. #36147C2semidirect
23. #35983C2semidirect
24. #35757C2semidirect
25. #35737C2semidirect
26. #35711C2semidirect
27. #34829C2semidirect
28. #34312C2semidirect
29. #34259C2semidirect
30. C4×#548C2semidirect
31. C2×Q8×C22⋊C4C2semidirect
36. C2×#559C22semidirect
37. C2×Q82C22semidirect
38. C2×#554C22semidirect
39. C2×#550C22semidirect
51. C2×#548C22semidirect
54. C2×#542C22semidirect
55. C2×#542C22semidirect
62. C2×#520C22semidirect
63. C2×#520C22semidirect
65. C2×C4×#41C22semidirect
68. #2862C22semidirect
71. #2850C22semidirect
73. #2716C22semidirect
74. #2713C22semidirect
75. #2712C22semidirect
78. #2700C22semidirect
79. #2700C22semidirect
80. #2700C22semidirect
81. #2698C22semidirect
86. #2687C22semidirect
88. #2625C22semidirect
89. #2621C22semidirect
91. #2581C22semidirect
92. #2568C22semidirect
93. #2568C22semidirect
100. #2557C22semidirect
106. #2549C22semidirect
107. #2547C22semidirect
108. #2545C22semidirect
109. #2544C22semidirect
112. #2536C22semidirect
117. #2503C22semidirect
120. #2492C22semidirect
121. #2492C22semidirect
122. #2492C22semidirect
123. #2492C22semidirect
126. #2488C22semidirect
127. #2488C22semidirect
132. #2459C22semidirect
135. #2451C22semidirect
136. #2451C22semidirect
138. #2450C22semidirect
139. #2447C22semidirect
140. #2447C22semidirect
141. #2446C22semidirect
142. #2446C22semidirect
149. #2436C22semidirect
151. #2431C22semidirect
153. #2429C22semidirect
156. #2427C22semidirect
157. #2427C22semidirect
158. #2426C22semidirect
161. #2421C22semidirect
162. #2421C22semidirect
168. #2417C22semidirect
170. #2415C22semidirect
175. #2409C22semidirect
177. #2407C22semidirect
183. #2367C22semidirect
184. #2367C22semidirect
187. #2362C22semidirect
189. #2360C22semidirect
192. #2351C22semidirect
193. #2351C22semidirect
194. #2351C22semidirect
195. #2351C22semidirect
196. #2341C22semidirect
197. #2341C22semidirect
209. Q8×C22⋊C4C22semidirect
210. Q8×C22⋊C4C22semidirect
211. Q8×C22⋊C4C22semidirect
216. #2339C22semidirect
217. #2339C22semidirect
219. #2323C22semidirect
221. #2310C22semidirect
223. C4×#124C22semidirect
224. C4×#124C22semidirect
225. C4×C22⋊Q8C22semidirect
234. C2×#391C22semidirect
237. C42×Q8C22semidirect
276. #548D4semidirect
702. C22×Q8#41semidirect
1296. 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×#35222
C2×#34862
#598092
#594172
#594092
#590932
#590232
#453162
#452892
#451462
#451142
#394392
#394182
#380272
#378392
#365752
Q8×#1242
#364822
#364342
#364302
#363032
#361472
#359832
#357572
#357372
#357112
#348292
#343122
#342592
C4×#5482
C2×Q8×C22⋊C42