Finite Group Databasebeta

← #10576152

Subgroups — #10576152

Order 512.

10424 conjugacy classes of subgroups.

The subgroup lattice has 2251 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3585C211yesmaximal, characteristic, complemented
2C2×#3584C211yesmaximal, characteristic, complemented
3#62988C211yesmaximal, characteristic, complemented
4#62987C211yesmaximal, characteristic, complemented
5#61094C213yesmaximal, complemented
6#61092C213yesmaximal, complemented
7#61083C213yesmaximal, complemented
8#61079C213yesmaximal, complemented
9#61074C213yesmaximal, complemented
10#61073C213yesmaximal, complemented
11#61073C213yesmaximal, complemented
12#61071C213yesmaximal, complemented
13#61067C213yesmaximal, complemented
14#61066C213yesmaximal, complemented
15#61064C213yesmaximal, complemented
16#61058C213yesmaximal, complemented
17#61055C213yesmaximal, complemented
18#61051C213yesmaximal, complemented
19#61030C213yesmaximal, complemented
20C2×#3267C213yesmaximal, complemented
21#60651C211yesmaximal, characteristic, complemented
22#60462C211yesmaximal, characteristic, complemented
23#60457C211yesmaximal, characteristic, complemented
24#60430C211yesmaximal, characteristic, complemented
25#60429C211yesmaximal, characteristic, complemented
26#60377C211yesmaximal, characteristic, complemented
27#60377C211yesmaximal, characteristic, complemented
28#60376C211yesmaximal, characteristic, complemented
29#60373C211yesmaximal, characteristic, complemented
30#60176C211yesmaximal, characteristic, complemented
31#60146C211yesmaximal, characteristic, complemented
32C2×#585C2211yescharacteristic, complemented
33C2×#585C2211yescharacteristic, complemented
34C2×#585C2211yescharacteristic, complemented
35C22×H(5,𝔽2)C2211yescharacteristic, complemented
36#3585—216no—
37#3584—216no—
38C2×#578C2211yescharacteristic, complemented
39C2×#578C2211yescharacteristic, complemented
40C2×#578C2213yescomplemented
41C2×#577C2211yescharacteristic, complemented
42C2×#577C2211yescharacteristic, complemented
43C2×#577C2211yescharacteristic, complemented
44C2×#577C2213yescomplemented
45C2×#577C2213yescomplemented
46C2×#577C2211yescharacteristic, complemented
47C2×#577C2211yescharacteristic, complemented
48C2×#577C2213yescomplemented
49C2×#577C2213yescomplemented
50C2×#576C2211yescharacteristic
51C2×#576C2211yescharacteristic, complemented
52C2×#576C2213yescomplemented
53C2×#576C2213yescomplemented
54C2×#576C2213yescomplemented
55C2×#575C2213yescomplemented
56C2×#575C2213yescomplemented
57C2×#575C2213yescomplemented
58C2×#575C2213yescomplemented
59C22×AGL(1,ℤ/8)C2213yescomplemented
60C22×AGL(1,ℤ/8)C2213yescomplemented
61C22×#135C2213yescomplemented
62C22×#135C2213yescomplemented
63C2×#568C2211yescharacteristic, complemented
64C22×#131C2211yescharacteristic, complemented
65#3500—21no—
66#3500C2213yescomplemented
67#3500C2211yescharacteristic, complemented
68#3499—21no—
69#3499C2211yescharacteristic, complemented
70#3499C2213yescomplemented
71#3496—23no—
72#3496—23no—
73#3496C2213yescomplemented
74#3496C2213yescomplemented
75#3489—21no—
76#3489—21no—
77#3489—21no—
78#3489C2213yescomplemented
79#3489C2211yescharacteristic, complemented
80#3489C2211yescharacteristic, complemented
81#3489C2211yescharacteristic, complemented
82#3489C2213yescomplemented
83#3489C2213yescomplemented
84#3488—21no—
85#3488C2213yescomplemented
86#3488C2211yescharacteristic, complemented
87#3485—23no—
88#3485—23no—
89#3485—23no—
90#3485C2213yescomplemented
91#3485C2213yescomplemented
92#3485C2213yescomplemented
93#3484—23no—
94#3484C2213yescomplemented
95D4×#41—21no—
96D4×#41—21no—
97D4×#41C2211yescharacteristic
98D4×#41C2213yescomplemented
99D4×#41C2213yescomplemented
100C2×#547—23no—
101C2×#547C2213yescomplemented
102C2×#546—23no—
103C2×#546C2213yescomplemented
104C4×H(5,𝔽2)C2211yescharacteristic, complemented
105C4×H(5,𝔽2)C2211yescharacteristic, complemented
106#3284C2216yescomplemented
107#3283C2216yescomplemented
108#3283C2216yescomplemented
109#3282C2216yescomplemented
110#3282C2216yescomplemented
111D4×SD16C2216yescomplemented
112#3280C2216yescomplemented
113#3280C2216yescomplemented
114#3276C2216yescomplemented
115#3276C2216yescomplemented
116#3275C2216yescomplemented
117#3275C2216yescomplemented
118#3273C2216yescomplemented
119#3273C2216yescomplemented
120#3272C2216yescomplemented
121#3272C2216yescomplemented
122#3271C2211yescharacteristic, complemented
123#3271C2213yescomplemented
124#3270C2213yescomplemented
125#3270C2213yescomplemented
126#3270C2216yescomplemented
127#3269C2213yescomplemented
128#3269C2213yescomplemented
129#3269C2216yescomplemented
130#3269C2216yescomplemented
131#3268C2213yescomplemented
132#3268C2213yescomplemented
133#3267C2213yescomplemented
134#3267C2216yescomplemented
135#3267C2216yescomplemented
136#3267C2216yescomplemented
137#3267C2216yescomplemented
138#3267C2216yescomplemented
139#3267C2216yescomplemented
140#3267C2216yescomplemented
141#3267C2216yescomplemented
142#3267C2216yescomplemented
143#3267C2216yescomplemented
144#3267C2213yescomplemented
145#3267C2216yescomplemented
146#3266C2213yescomplemented
147#3266C2216yescomplemented
148#3266C2216yescomplemented
149#3266C2213yescomplemented
150#3265C2213yescomplemented
151#3265C2213yescomplemented
152#3264C2213yescomplemented
153#3264C2216yescomplemented
154#3264C2216yescomplemented
155#3264C2216yescomplemented
156#3264C2213yescomplemented
157#3156C2213yescomplemented
158#3156C2213yescomplemented
159#3154C2213yescomplemented
160#3154C2213yescomplemented
161#3153C2213yescomplemented
162#3152C2213yescomplemented
163#3150C2213yescomplemented
164C2×#497C2213yescomplemented
165#3063C2213yescomplemented
166#3063C2213yescomplemented
167#3063C2213yescomplemented
168#3062C2213yescomplemented
169#3060C2213yescomplemented
170#3060C2213yescomplemented
171#3059C2213yescomplemented
172#3057C2213yescomplemented
173#3056C2213yescomplemented
174#3056C2213yescomplemented
175#3056C2213yescomplemented
176#3055C2213yescomplemented
177#3054C2213yescomplemented
178C2×#470C2213yescomplemented
179#3050C2213yescomplemented
180C2×#465C2213yescomplemented
181#3046C2213yescomplemented
182#3046C2213yescomplemented
183#3046C2213yescomplemented
184#3045C2213yescomplemented
185#3042C2213yescomplemented
186#3042C2213yescomplemented
187#3042C2213yescomplemented
188#3041C2213yescomplemented
189#3040C2213yescomplemented
190#3039C2213yescomplemented
191#3036C2213yescomplemented
192#3036C2213yescomplemented
193#3035C2213yescomplemented
194#3035C2213yescomplemented
195C2×#463C2213yescomplemented
196C2×#461C2213yescomplemented
197#3013C2213yescomplemented
198#3013C2213yescomplemented
199#3013C2213yescomplemented
200#3012C2213yescomplemented
201#3012C2213yescomplemented
202#3012C2213yescomplemented
203#3012C2213yescomplemented
204#3012C2213yescomplemented
205#3011C2213yescomplemented
206#3011C2213yescomplemented
207#3010C2213yescomplemented
208#3009C2213yescomplemented
209#3009C2213yescomplemented
210#3009C2213yescomplemented
211#3009C2213yescomplemented
212#3008C2213yescomplemented
213#3007C2213yescomplemented
214#3007C2213yescomplemented
215#3007C2213yescomplemented
216#3006C2213yescomplemented
217#3005C2213yescomplemented
218#3005C2213yescomplemented
219#3005C2213yescomplemented
220#3003C2213yescomplemented
221#3002C2213yescomplemented
222#3002C2213yescomplemented
223#3002C2213yescomplemented
224#3002C2213yescomplemented
225C2×#452C2213yescomplemented
226C2×#452C2213yescomplemented
227C2×#449C2213yescomplemented
228C2×#450C2213yescomplemented
229#2952C2213yescomplemented
230#2948C2213yescomplemented
231#2946C2213yescomplemented
232#2946C2213yescomplemented
233C4×AGL(1,ℤ/8)C2213yescomplemented
234C4×AGL(1,ℤ/8)C2213yescomplemented
235#2943C2213yescomplemented
236C2×#442C2213yescomplemented
237#2935C2213yescomplemented
238D4×M16C2213yescomplemented
239#2933C2213yescomplemented
240#2933C2213yescomplemented
241#2932C2213yescomplemented
242#2930C2213yescomplemented
243#2929C2213yescomplemented
244C2×#435C2213yescomplemented
245#2912C2211yescharacteristic, complemented
246#2906C2211yescharacteristic, complemented
247#2898C2211yescharacteristic, complemented
248#2898C2211yescharacteristic, complemented
249#2898C2211yescharacteristic, complemented
250#2897C2211yescharacteristic, complemented
251#2897C2211yescharacteristic, complemented
252#2897C2211yescharacteristic, complemented
253#2880C2211yescharacteristic, complemented
254#2880C2211yescharacteristic, complemented
255#2875C2211yescharacteristic, complemented
256#585—28no—
257#585—28no—
258#585—28no—
259#585—44no—
260#585—44no—
261#585—44no—
262C2×2−1+4—21no—
263C2×2−1+4—21no—
264C2×2−1+4—21no—
265C2×2−1+4C2311yescharacteristic
266C2×2−1+4C2311yescharacteristic
267C2×2−1+4C2311yescharacteristic
268C2×2−1+4C2313yes—
269C2×2−1+4C2313yes—
270C2×2−1+4C2313yescomplemented
271C2×H(5,𝔽2)—23no—
272C2×H(5,𝔽2)—21no—
273C2×H(5,𝔽2)—23no—
274C2×H(5,𝔽2)—23no—
275C2×H(5,𝔽2)—23no—
276C2×H(5,𝔽2)—28no—
277C2×H(5,𝔽2)—44no—
278C2×H(5,𝔽2)C2311yescharacteristic
279C2×H(5,𝔽2)C2313yes—
280C2×H(5,𝔽2)C2313yes—
281C2×H(5,𝔽2)C2313yes—
282C2×H(5,𝔽2)C2313yes—
283C2×H(5,𝔽2)C2311yescharacteristic
284C2×H(5,𝔽2)C2311yescharacteristic
285C2×H(5,𝔽2)C2313yescomplemented
286C22×#41—23no—
287C22×#41—23no—
288C22×#41—23no—
289C22×#41—21no—
290C22×#41—21no—
291C22×#41—21no—
292C22×#41—21no—
293C22×#41C2313yes—
294C22×#41C2313yes—
295C22×#41C2313yes—
296C22×#41C2313yes—
297C22×#41C2313yes—
298C22×#41C2311yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2313yescomplemented
301C22×#41C2313yescomplemented
302C23×D4—23no—
303C23×D4C2313yes—
304#578—224no—
305#578—28no—
306#578—44no—
307#577—28no—
308#577—28no—
309#577—28no—
310#577—224no—
311#577—224no—
312#577—224no—
313#577—224no—
314#577—28no—
315#577—44no—
316#576—28no—
317#576—224no—
318#576—224no—
319#576—224no—
320#576D4116yescomplemented
321#575—224no—
322#575—224no—
323#575—224no—
324#575—224no—
325C2×#137C2313yes—
326C2×#137C2313yes—
327C2×#137C2313yes—
328C2×#137C2313yes—
329C2×#137C2313yes—
330C2×#137C2311yescharacteristic
331C2×#137C2313yes—
332C2×#137C2313yes—
333C2×#137C2313yescomplemented
334C2×#137C2313yescomplemented
335C2×#137C2313yescomplemented
336C2×#137C2316yescomplemented
337C2×#137C2316yescomplemented
338C2×#137C2313yescomplemented
339C2×#137C2313yescomplemented
340C2×AGL(1,ℤ/8)—224no—
341C2×AGL(1,ℤ/8)—224no—
342C2×AGL(1,ℤ/8)C2313yes—
343C2×AGL(1,ℤ/8)C2313yes—
344C2×AGL(1,ℤ/8)C2313yes—
345C2×AGL(1,ℤ/8)C2313yes—
346C2×AGL(1,ℤ/8)C2313yes—
347C2×AGL(1,ℤ/8)C2313yes—
348C2×AGL(1,ℤ/8)C2316yes—
349C2×AGL(1,ℤ/8)C2313yes—
350C2×AGL(1,ℤ/8)C2313yes—
351C2×AGL(1,ℤ/8)C2313yes—
352C2×AGL(1,ℤ/8)C2316yes—
353C2×AGL(1,ℤ/8)C2316yes—
354C2×AGL(1,ℤ/8)C2313yes—
355C2×AGL(1,ℤ/8)C2313yes—
356C2×AGL(1,ℤ/8)C2313yes—
357C2×AGL(1,ℤ/8)C2313yescomplemented
358C2×AGL(1,ℤ/8)C2316yescomplemented
359C2×AGL(1,ℤ/8)C2316yescomplemented
360C2×#135—224no—
361C2×#135—224no—
362C2×#135C2313yes—
363C2×#135C2313yes—
364C2×#135C2313yes—
365C2×#135C2313yes—
366C2×#135C2316yes—
367C2×#135C2316yes—
368C2×#135C2313yes—
369C2×#135C2313yes—
370C2×#135C2313yescomplemented
371C2×#135C2313yescomplemented
372C2×#135C2313yescomplemented
373C2×#135C2316yescomplemented
374C2×#135C2316yescomplemented
375C2×#135C2316yescomplemented
376C2×#135C2313yescomplemented
377C2×#135C2313yescomplemented
378C2×#135C2311yescharacteristic, complemented
379C2×#135C2313yescomplemented
380C22×Q16C2313yescomplemented
381C22×Q16C2313yescomplemented
382C22×Q16C2313yescomplemented
383C22×SD16C2313yes—
384C22×SD16C2313yes—
385C22×SD16C2313yes—
386C22×SD16C2316yes—
387C22×SD16C2313yes—
388C22×SD16C2313yescomplemented
389C22×SD16C2313yescomplemented
390C22×SD16C2313yescomplemented
391C22×D8C2313yes—
392C22×D8C2316yes—
393C22×D8C2313yes—
394C22×D8C2313yescomplemented
395#568—28no—
396C2×#131—28no—
397C2×#131C2311yescharacteristic
398C2×#131C2311yescharacteristic
399C2×#131C2311yescharacteristic
400C2×#131C2313yes—
401C2×#131C2313yes—
402C2×#131C2311yescharacteristic
403C2×#131C2313yescomplemented
404C2×#131C2313yescomplemented
405C22×M16C2313yes—
406C22×M16C2313yes—
407C22×M16C2313yescomplemented
408C23×C8C2313yescomplemented
409#550—21no—
410#550D411yescharacteristic
411#550C2311yescharacteristic
412#550C2313yes—
413D4×Q8—21no—
414D4×Q8—21no—
415D4×Q8—21no—
416D4×Q8—21no—
417D4×Q8—21no—
418D4×Q8D411yescharacteristic
419D4×Q8C2313yes—
420D4×Q8C2313yescomplemented
421D4×Q8C2316yescomplemented
422#548—21no—
423#548—21no—
424#548—21no—
425#548—21no—
426#548—21no—
427#548—21no—
428#548D411yescharacteristic
429#548D411yescharacteristic
430#548C2311yescharacteristic
431#548C2313yes—
432#548C2313yes—
433#548C2316yes—
434#548C2313yescomplemented
435#547—23no—
436#547—23no—
437#547—23no—
438#547—23no—
439#547—23no—
440#547—26no—
441#547—26no—
442#547—26no—
443#547—23no—
444#547—23no—
445#547—23no—
446#547—23no—
447#547—23no—
448#547—23no—
449#547—26no—
450#547—26no—
451#547—23no—
452#547—23no—
453#547—23no—
454#547—23no—
455#547—23no—
456#547—23no—
457#547—23no—
458#547—23no—
459#547D413yes—
460#547C2313yes—
461#547C2316yes—
462#547C2313yes—
463#547C2316yes—
464#547C2316yescomplemented
465#547C2316yescomplemented
466#547C2316yescomplemented
467#546—23no—
468#546—23no—
469#546—23no—
470#546—23no—
471#546—23no—
472#546—23no—
473#546—23no—
474#546—23no—
475#546—26no—
476#546—23no—
477#546—23no—
478#546—23no—
479#546—26no—
480#546—23no—
481#546—23no—
482#546—26no—
483#546—23no—
484#546—23no—
485#546—23no—
486#546—26no—
487#546—26no—
488#546—26no—
489#546—23no—
490#546—23no—
491#546—23no—
492#546—23no—
493#546—23no—
494#546—23no—
495#546—23no—
496#546—23no—
497#546—23no—
498#546—23no—
499#546D413yes—
500#546D413yes—
501#546C2313yes—
502#546C2316yes—
503#546C2316yes—
504#546C2316yes—
505#546C2313yes—
506#546C2313yes—
507#546C2316yes—
508#546C2313yescomplemented
509#546C2316yescomplemented
510#546C2316yescomplemented
511D42—23no—
512D42—23no—
513D42—23no—
514D42—23no—
515D42—23no—
516D42—23no—
517D42—23no—
518D42—26no—
519D42D413yes—
520D42C2313yes—
521D42C2316yes—
522D42C2313yescomplemented
523#537—23no—
524#537—23no—
525#537—23no—
526#537—23no—
527#537C2313yes—
528#537C2313yes—
529#537C2313yes—
530#537C2313yescomplemented
531#536—23no—
532#536—23no—
533#536—23no—
534#536—23no—
535#536—23no—
536#536—23no—
537#536C2313yes—
538#536C2313yes—
539#536C2313yes—
540#536C2313yescomplemented
541#536C2313yescomplemented
542#536C2313yescomplemented
543#535—23no—
544#535—23no—
545#535C2313yes—
546#535C2313yes—
547#534—26no—
548#534—26no—
549#534—26no—
550#534—26no—
551#534—26no—
552#534—26no—
553#532—23no—
554#532—23no—
555#532—23no—
556#532—23no—
557#532C2313yes—
558#532C2313yes—
559#532C2313yescomplemented
560C2×C4⋊Q8—23no—
561C2×C4⋊Q8C2313yescomplemented
562C2×#124—23no—
563C2×#124C2313yes—
564#525—23no—
565#525—23no—
566#525—23no—
567#525—23no—
568#525—23no—
569#525—23no—
570#525—23no—
571#525—23no—
572#525C2313yes—
573#525C2313yes—
574#525C2313yes—
575#525C2313yes—
576#525C2313yes—
577#525C2313yescomplemented
578C2×#123—26no—
579C2×#123—26no—
580C2×#123—26no—
581C2×#123—23no—
582C2×#123—23no—
583C2×#123—23no—
584C2×C22⋊Q8—23no—
585C2×C22⋊Q8—23no—
586C2×C22⋊Q8—23no—
587C2×C22⋊Q8C2313yes—
588C2×C22⋊Q8C2313yes—
589C2×C22⋊Q8C2313yescomplemented
590C2×#121—23no—
591C2×#121—23no—
592C2×#121—26no—
593C2×#121—26no—
594C2×#121—23no—
595C2×#121C2313yes—
596C2×#120—23no—
597C2×#120—26no—
598#520—21no—
599#520—21no—
600#520C2313yes—
601#520C2311yescharacteristic
602#520C2311yescharacteristic
603#520C2313yescomplemented
604#518—23no—
605#518—23no—
606#518C2313yes—
607#518C2313yescomplemented
608C4×#41—21no—
609C4×#41—21no—
610C4×#41C2313yes—
611C4×#41C2311yescharacteristic
612C4×#41C2313yescomplemented
613C2×C4×D4—23no—
614C2×C4×D4—23no—
615C2×C4×D4—23no—
616C2×C4×D4—23no—
617C2×C4×D4C2313yes—
618C2×C4×D4C2313yes—
619C2×C4×D4C2313yescomplemented
620C22×C4⋊C4—23no—
621C22×C22⋊C4—23no—
622#497C2313yescomplemented
623#497C2316yescomplemented
624#497C2316yescomplemented
625#497C2316yescomplemented
626#497C2313yescomplemented
627#497C2313yescomplemented
628#497C2313yescomplemented
629#496C2311yescharacteristic, complemented
630#496C2313yescomplemented
631#496C2313yescomplemented
632#496C2313yescomplemented
633#495C2316yescomplemented
634#495C2316yescomplemented
635#494C2316yescomplemented
636#492C2316yescomplemented
637#470C2313yes—
638#470C2316yes—
639#470C2316yescomplemented
640#470C2313yescomplemented
641#470C2316yescomplemented
642#470C2316yescomplemented
643#469C2311yescharacteristic
644#469C2313yescomplemented
645#469C2316yescomplemented
646#468C2313yes—
647#468C2313yes—
648#468C2313yescomplemented
649#468C2313yescomplemented
650#468C2316yescomplemented
651#468C2316yescomplemented
652#467C2313yescomplemented
653#467C2316yescomplemented
654#467C2316yescomplemented
655#467C2313yescomplemented
656#466C2313yescomplemented
657#466C2313yescomplemented
658#465C2316yescomplemented
659#465C2313yescomplemented
660#465C2313yescomplemented
661#465C2316yescomplemented
662#465C2316yescomplemented
663#465C2313yescomplemented
664#465C2311yescharacteristic, complemented
665#465C2316yescomplemented
666#465C2316yescomplemented
667#464C2311yescharacteristic, complemented
668#464C2313yescomplemented
669#464C2316yescomplemented
670#464C2313yescomplemented
671#464C2313yescomplemented
672#463C2316yescomplemented
673#463C2313yescomplemented
674#463C2316yescomplemented
675#463C2316yescomplemented
676#463C2313yescomplemented
677#463C2313yescomplemented
678#463C2313yescomplemented
679#463C2316yescomplemented
680#463C2316yescomplemented
681#463C2316yescomplemented
682#462C2313yescomplemented
683#462C2313yescomplemented
684#462C2316yescomplemented
685#461C2313yescomplemented
686#461C2316yescomplemented
687#461C2316yescomplemented
688#461C2313yescomplemented
689#461C2316yescomplemented
690#461C2316yescomplemented
691#461C2316yescomplemented
692#460C2311yescharacteristic, complemented
693#460C2313yescomplemented
694#459C2313yescomplemented
695#459C2316yescomplemented
696#459C2313yescomplemented
697#452C2313yes—
698#452C2316yes—
699#452C2313yes—
700#452C2313yes—
701#452C2313yes—
702#452C2316yes—
703#452C2316yes—
704#452C2313yescomplemented
705#452C2316yescomplemented
706#452C2316yescomplemented
707#452C2316yescomplemented
708#452C2316yescomplemented
709#452C2316yescomplemented
710#452C2311yescharacteristic, complemented
711#452C2313yescomplemented
712#452C2313yescomplemented
713#452C2316yescomplemented
714#452C2316yescomplemented
715#452C2316yescomplemented
716#451C2313yes—
717#451C2313yescomplemented
718#451C2313yescomplemented
719#451C2313yescomplemented
720#451C2316yescomplemented
721#451C2316yescomplemented
722#450C2313yes—
723#450C2316yes—
724#450C2316yes—
725#450C2316yes—
726#450C2316yes—
727#450C2313yescomplemented
728#450C2313yescomplemented
729#450C2313yescomplemented
730#450C2316yescomplemented
731#450C2316yescomplemented
732#449C2311yescharacteristic
733#449C2313yes—
734#449C2313yes—
735#449C2313yes—
736#449C2313yescomplemented
737#449C2316yescomplemented
738#449C2316yescomplemented
739#449C2316yescomplemented
740#449C2311yescharacteristic, complemented
741#449C2313yescomplemented
742#449C2313yescomplemented
743#449C2316yescomplemented
744#449C2316yescomplemented
745#449C2316yescomplemented
746#448C2311yescharacteristic
747#448C2313yescomplemented
748#448C2313yescomplemented
749#448C2313yescomplemented
750#448C2316yescomplemented
751#447C2313yes—
752#447C2316yes—
753#447C2313yescomplemented
754#447C2313yescomplemented
755#447C2313yescomplemented
756#447C2316yescomplemented
757#442C2313yescomplemented
758#442C2316yescomplemented
759#442C2316yescomplemented
760#442C2316yescomplemented
761#442C2313yescomplemented
762#441C2311yescharacteristic, complemented
763#441C2313yescomplemented
764#440C2313yescomplemented
765#440C2313yescomplemented
766#440C2313yescomplemented
767#440C2313yescomplemented
768C4×SD16C2316yescomplemented
769C4×SD16C2316yescomplemented
770C4×D8C2316yescomplemented
771C4×D8C2316yescomplemented
772#436C2316yes—
773#436C2316yescomplemented
774#435C2311yescharacteristic
775#435C2313yes—
776#435C2313yes—
777#435C2313yes—
778#435C2313yescomplemented
779#435C2313yescomplemented
780#435C2313yescomplemented
781#435C2313yescomplemented
782#435C2316yescomplemented
783#435C2316yescomplemented
784#435C2316yescomplemented
785C8×D4C2316yescomplemented
786C8×D4C2316yescomplemented
787#428C2313yescomplemented
788#428C2313yescomplemented
789#427C2313yescomplemented
790C2×#106C2313yescomplemented
791#424C2313yescomplemented
792#424C2313yescomplemented
793#423C2313yescomplemented
794C2×C4⋊C8C2313yescomplemented
795#419C2313yescomplemented
796#419C2313yescomplemented
797#419C2313yescomplemented
798#418C2313yes—
799#418C2313yes—
800#418C2313yescomplemented
801#417C2313yes—
802#417C2313yes—
803#417C2313yescomplemented
804#417C2313yescomplemented
805#417C2313yescomplemented
806#417C2313yescomplemented
807#416C2313yes—
808#416C2313yes—
809#416C2313yescomplemented
810#416C2313yescomplemented
811#416C2313yescomplemented
812#416C2313yescomplemented
813C2×#103C2313yescomplemented
814C2×#103C2313yescomplemented
815C2×#103C2313yescomplemented
816C2×#102C2313yes—
817C2×#102C2313yes—
818C2×#102C2313yescomplemented
819#408C2313yes—
820#408C2313yes—
821#408C2313yescomplemented
822#408C2313yescomplemented
823#407C2313yes—
824#407C2313yescomplemented
825C2×C22⋊C8C2313yes—
826C2×C22⋊C8C2313yescomplemented
827#405C2313yescomplemented
828#405C2313yescomplemented
829C4×M16C2313yescomplemented
830C2×#97C2313yescomplemented
831C25—23no—
8322−1+4—212no—
8332−1+4—24no—
8342−1+4—212no—
8352−1+4—24no—
8362−1+4—24no—
8372−1+4—212no—
8382−1+4—24no—
8392−1+4—24no—
8402−1+4—24no—
8412−1+4—46no—
8422−1+4—46no—
8432−1+4—46no—
8442−1+4—48no—
8452−1+4—48no—
8462−1+4—48no—
847H(5,𝔽2)—24no—
848H(5,𝔽2)—24no—
849H(5,𝔽2)—212no—
850H(5,𝔽2)—24no—
851H(5,𝔽2)—24no—
852H(5,𝔽2)—212no—
853H(5,𝔽2)—212no—
854H(5,𝔽2)—212no—
855H(5,𝔽2)—212no—
856H(5,𝔽2)—424no—
857H(5,𝔽2)—424no—
858H(5,𝔽2)—424no—
859H(5,𝔽2)—46no—
860H(5,𝔽2)—46no—
861H(5,𝔽2)—46no—
862H(5,𝔽2)—46no—
863H(5,𝔽2)—46no—
864H(5,𝔽2)—424no—
865H(5,𝔽2)—48no—
866H(5,𝔽2)C2×D418yescomplemented
867H(5,𝔽2)C2×D418yescomplemented
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—21no—
873C2×#41—21no—
874C2×#41—23no—
875C2×#41—23no—
876C2×#41—23no—
877C2×#41—23no—
878C2×#41—23no—
879C2×#41—21no—
880C2×#41—23no—
881C2×#41—23no—
882C2×#41—23no—
883C2×#41—23no—
884C2×#41—26no—
885C2×#41—23no—
886C2×#41—23no—
887C2×#41—26no—
888C2×#41—26no—
889C2×#41—23no—
890C2×#41—23no—
891C2×#41—23no—
892C2×#41—23no—
893C2×#41—23no—
894C2×#41—23no—
895C2×#41—23no—
896C2×#41—23no—
897C2×#41—23no—
898C2×#41—23no—
899C2×#41—23no—
900C2×#41—23no—
901C2×#41—23no—
902C2×#41—23no—
903C2×#41—212no—
904C2×#41—212no—
905C2×#41—212no—
906C2×#41—212no—
907C2×#41—212no—
908C2×#41—212no—
909C2×#41—212no—
910C2×#41—46no—
911C2×#41—46no—
912C2×#41—46no—
913C2×#41—46no—
914C2×#41—46no—
915C2×#41—46no—
916C2×#41—46no—
917C2×#41—424no—
918C2×#41—424no—
919C2×#41—424no—
920C2×#41—48no—
921C2×#41—48no—
922C2×#41—48no—
923C2×#41—48no—
924C2×#41C2×D413yes—
925C2×#41C2×D413yes—
926C2×#41C2×D411yescharacteristic
927C2×#41C2×D411yescharacteristic
928C2×#41C2413yes—
929C2×#41C2413yes—
930C2×#41C2413yes—
931C2×#41C2413yes—
932C2×#41C2413yes—
933C2×#41C2416yes—
934C2×#41C2413yes—
935C2×#41C2413yes—
936C2×#41C2413yes—
937C2×#41C2416yes—
938C2×#41C2416yes—
939C2×#41C2413yes—
940C2×#41C2411yescharacteristic
941C2×#41C2411yescharacteristic
942C2×#41C2411yescharacteristic
943C2×#41C2413yes—
944C2×#41C2413yes—
945C2×#41C2413yes—
946C2×#41C2413yes—
947C2×#41C2411yescharacteristic
948C22×Q8—23no—
949C22×Q8—23no—
950C22×Q8—23no—
951C22×Q8—21no—
952C22×Q8—21no—
953C22×Q8—21no—
954C22×Q8C2×D411yescharacteristic
955C22×Q8C2×D411yescharacteristic
956C22×Q8C2413yes—
957C22×Q8C2413yes—
958C22×Q8C2413yes—
959C22×Q8C2413yes—
960C22×Q8C2411yescharacteristic
961C22×Q8C2413yes—
962C22×Q8C2413yes—
963C22×D4—23no—
964C22×D4—23no—
965C22×D4—212no—
966C22×D4—23no—
967C22×D4—23no—
968C22×D4—23no—
969C22×D4—23no—
970C22×D4—23no—
971C22×D4—23no—
972C22×D4—23no—
973C22×D4—23no—
974C22×D4—26no—
975C22×D4—26no—
976C22×D4—26no—
977C22×D4—26no—
978C22×D4—23no—
979C22×D4—23no—
980C22×D4—26no—
981C22×D4—23no—
982C22×D4—23no—
983C22×D4—23no—
984C22×D4—23no—
985C22×D4—23no—
986C22×D4—23no—
987C22×D4—26no—
988C22×D4—23no—
989C22×D4—23no—
990C22×D4—23no—
991C22×D4—46no—
992C22×D4—424no—
993C22×D4C2×D413yes—
994C22×D4C2×D413yes—
995C22×D4C2×D413yes—
996C22×D4C2413yes—
997C22×D4C2413yes—
998C22×D4C2416yes—
999C22×D4C2413yes—
1000C22×D4C2413yes—
1001C22×D4C2413yes—
1002C22×D4C2413yes—
1003C22×D4C2413yes—
1004C23×C4—23no—
1005C23×C4—23no—
1006C23×C4—23no—
1007C23×C4—23no—
1008C23×C4—23no—
1009C23×C4—23no—
1010C23×C4—23no—
1011C23×C4—23no—
1012C23×C4—23no—
1013C23×C4C2413yes—
1014C23×C4C2413yes—
1015#137—212no—
1016#137—212no—
1017#137—212no—
1018#137—24no—
1019#137—212no—
1020#137—212no—
1021#137—212no—
1022#137—224no—
1023#137—224no—
1024#137—212no—
1025#137—212no—
1026#137—212no—
1027#137—46no—
1028#137—46no—
1029#137—46no—
1030AGL(1,ℤ/8)—212no—
1031AGL(1,ℤ/8)—212no—
1032AGL(1,ℤ/8)—212no—
1033AGL(1,ℤ/8)—212no—
1034AGL(1,ℤ/8)—212no—
1035AGL(1,ℤ/8)—212no—
1036AGL(1,ℤ/8)—212no—
1037AGL(1,ℤ/8)—212no—
1038AGL(1,ℤ/8)—224no—
1039AGL(1,ℤ/8)—224no—
1040AGL(1,ℤ/8)—224no—
1041AGL(1,ℤ/8)—212no—
1042AGL(1,ℤ/8)—224no—
1043AGL(1,ℤ/8)—224no—
1044AGL(1,ℤ/8)—212no—
1045AGL(1,ℤ/8)—46no—
1046AGL(1,ℤ/8)C2×D4124yescomplemented
1047AGL(1,ℤ/8)C2×D4124yescomplemented
1048#135—212no—
1049#135—212no—
1050#135—212no—
1051#135—212no—
1052#135—24no—
1053#135—212no—
1054#135—212no—
1055#135—224no—
1056#135—212no—
1057#135—224no—
1058#135—224no—
1059#135—224no—
1060#135—224no—
1061#135—212no—
1062#135—212no—
1063#135—46no—
1064#135—46no—
1065#135C2×D4124yescomplemented
1066C2×Q16—212no—
1067C2×Q16—212no—
1068C2×Q16—46no—
1069C2×Q16C2413yes—
1070C2×Q16C2413yes—
1071C2×Q16C2413yes—
1072C2×Q16C2416yes—
1073C2×Q16C2413yes—
1074C2×Q16C2411yescharacteristic
1075C2×Q16C2413yes—
1076C2×Q16C2413yes—
1077C2×Q16C2416yes—
1078C2×Q16C2413yes—
1079C2×Q16C2411yescharacteristic
1080C2×SD16—212no—
1081C2×SD16—212no—
1082C2×SD16—212no—
1083C2×SD16—224no—
1084C2×SD16—212no—
1085C2×SD16—212no—
1086C2×SD16—212no—
1087C2×SD16—46no—
1088C2×SD16C2413yes—
1089C2×SD16C2413yes—
1090C2×SD16C2413yes—
1091C2×SD16C2416yes—
1092C2×SD16C2413yes—
1093C2×SD16C2416yes—
1094C2×SD16C2416yes—
1095C2×SD16C2411yescharacteristic
1096C2×SD16C2411yescharacteristic
1097C2×SD16C2413yes—
1098C2×SD16C2416yes—
1099C2×SD16C2413yes—
1100C2×SD16C2413yes—
1101C2×SD16C2411yescharacteristic
1102C2×SD16C2413yes—
1103C2×SD16C2411yescharacteristic
1104C2×SD16C2413yes—
1105C2×SD16C2416yes—
1106C2×SD16C2411yescharacteristic
1107C2×SD16C2413yes—
1108C2×SD16C2413yes—
1109C2×SD16C2413yes—
1110C2×SD16C2413yes—
1111C2×D8—212no—
1112C2×D8—224no—
1113C2×D8—212no—
1114C2×D8C2×D4124yescomplemented
1115C2×D8C2413yes—
1116C2×D8C2413yes—
1117C2×D8C2416yes—
1118C2×D8C2413yes—
1119C2×D8C2411yescharacteristic
1120C2×D8C2413yes—
1121C2×D8C2413yes—
1122C2×D8C2413yes—
1123C2×D8C2411yescharacteristic
1124C2×D8C2413yes—
1125C2×D8C2416yes—
1126#131—24no—
1127#131—24no—
1128#131—24no—
1129#131—212no—
1130#131—212no—
1131#131—212no—
1132#131—212no—
1133#131C2×D418yescomplemented
1134C2×M16—212no—
1135C2×M16—212no—
1136C2×M16—212no—
1137C2×M16C2411yescharacteristic
1138C2×M16C2413yes—
1139C2×M16C2413yes—
1140C2×M16C2413yes—
1141C2×M16C2413yes—
1142C2×M16C2413yes—
1143C2×M16C2416yes—
1144C2×M16C2413yes—
1145C2×M16C2413yes—
1146C22×C8—212no—
1147C22×C8C2411yescharacteristic
1148C22×C8C2413yes—
1149C22×C8C2413yes—
1150C22×C8C2413yes—
1151C22×C8C2413yes—
1152C22×C8C2413yes—
1153C22×C8C2416yes—
1154C22×C8C2413yes—
1155C22×C8C2413yes—
1156C4⋊Q8—23no—
1157C4⋊Q8—23no—
1158C4⋊Q8—23no—
1159C4⋊Q8—23no—
1160C4⋊Q8—26no—
1161C4⋊Q8—23no—
1162C4⋊Q8—23no—
1163C4⋊Q8—23no—
1164C4⋊Q8C2×D413yes—
1165C4⋊Q8C2413yes—
1166C4⋊Q8C2416yes—
1167C4⋊Q8C2413yes—
1168#127—21no—
1169#127—23no—
1170#127—23no—
1171#127C2×D413yes—
1172#127C2413yes—
1173#127C2411yescharacteristic
1174#124—23no—
1175#124—23no—
1176#124—23no—
1177#124—23no—
1178#124—23no—
1179#124—26no—
1180#124—21no—
1181#124—23no—
1182#124—23no—
1183#124—23no—
1184#124—23no—
1185#124C2×D413yes—
1186#124C2×D413yes—
1187#124C2413yes—
1188#124C2416yes—
1189#124C2411yescharacteristic
1190#124C2413yes—
1191#124C2413yes—
1192#123—26no—
1193#123—26no—
1194#123—26no—
1195#123—23no—
1196#123—23no—
1197#123—23no—
1198#123—23no—
1199#123—23no—
1200#123—26no—
1201#123—23no—
1202#123—23no—
1203#123—26no—
1204#123—26no—
1205#123—26no—
1206#123—26no—
1207#123—26no—
1208#123—23no—
1209#123—23no—
1210#123—23no—
1211#123—26no—
1212#123—23no—
1213#123—26no—
1214#123—26no—
1215#123—26no—
1216#123—26no—
1217#123—26no—
1218#123—26no—
1219#123—26no—
1220#123—26no—
1221#123—26no—
1222#123—26no—
1223#123—26no—
1224#123—26no—
1225#123—23no—
1226#123C2×D416yes—
1227#123C2×D416yes—
1228C22⋊Q8—23no—
1229C22⋊Q8—23no—
1230C22⋊Q8—23no—
1231C22⋊Q8—23no—
1232C22⋊Q8—23no—
1233C22⋊Q8—23no—
1234C22⋊Q8—23no—
1235C22⋊Q8—23no—
1236C22⋊Q8—23no—
1237C22⋊Q8—23no—
1238C22⋊Q8—23no—
1239C22⋊Q8—23no—
1240C22⋊Q8—26no—
1241C22⋊Q8—23no—
1242C22⋊Q8—23no—
1243C22⋊Q8—23no—
1244C22⋊Q8—21no—
1245C22⋊Q8—23no—
1246C22⋊Q8—23no—
1247C22⋊Q8—23no—
1248C22⋊Q8—23no—
1249C22⋊Q8—23no—
1250C22⋊Q8—26no—
1251C22⋊Q8—26no—
1252C22⋊Q8—23no—
1253C22⋊Q8—23no—
1254C22⋊Q8—23no—
1255C22⋊Q8C2×D413yes—
1256C22⋊Q8C2×D413yes—
1257C22⋊Q8C2×D413yes—
1258C22⋊Q8C2×D413yes—
1259C22⋊Q8C2413yes—
1260C22⋊Q8C2413yes—
1261C22⋊Q8C2416yes—
1262C22⋊Q8C2416yes—
1263C22⋊Q8C2413yes—
1264C22⋊Q8C2416yes—
1265C22⋊Q8C2411yescharacteristic
1266C22⋊Q8C2413yes—
1267C22⋊Q8C2413yes—
1268C22⋊Q8C2413yes—
1269C22⋊Q8C2413yes—
1270#121—23no—
1271#121—26no—
1272#121—26no—
1273#121—26no—
1274#121—26no—
1275#121—26no—
1276#121—26no—
1277#121—26no—
1278#121—26no—
1279#121—26no—
1280#121—23no—
1281#121—21no—
1282#121—23no—
1283#121—23no—
1284#121—23no—
1285#121—23no—
1286#121—23no—
1287#121—23no—
1288#121—23no—
1289#121—26no—
1290#121—23no—
1291#121—23no—
1292#121—23no—
1293#121—23no—
1294#121—23no—
1295#121—23no—
1296#121—23no—
1297#121—26no—
1298#121—23no—
1299#121—23no—
1300#121—23no—
1301#121—23no—
1302#121—26no—
1303#121—23no—
1304#121—23no—
1305#121—26no—
1306#121—26no—
1307#121—26no—
1308#121—26no—
1309#121—21no—
1310#121—21no—
1311#121—23no—
1312#121—26no—
1313#121—23no—
1314#121—23no—
1315#121C2×D413yes—
1316#121C2×D416yes—
1317#121C2×D416yes—
1318#121C2×D413yes—
1319#121C2×D413yes—
1320#121C2×D413yes—
1321#121C2413yes—
1322#121C2416yes—
1323#121C2411yescharacteristic
1324#121C2411yescharacteristic
1325#121C2413yes—
1326#121C2413yes—
1327#121C2413yes—
1328#121C2411yescharacteristic
1329#121C2413yes—
1330#120—23no—
1331#120—23no—
1332#120—23no—
1333#120—23no—
1334#120—26no—
1335#120—23no—
1336#120—26no—
1337#120—26no—
1338#120—26no—
1339#120—26no—
1340#120—23no—
1341#120—23no—
1342#120—26no—
1343#120—26no—
1344#120—23no—
1345#120—23no—
1346#120—26no—
1347#120—26no—
1348#120—26no—
1349#120—23no—
1350#120—23no—
1351#120—23no—
1352#120C2×D416yes—
1353#120C2×D416yes—
1354C4×Q8—21no—
1355C4×Q8—21no—
1356C4×Q8C2×D411yescharacteristic
1357C4×Q8C2×D411yescharacteristic
1358C4×Q8C2411yescharacteristic
1359C4×Q8C2413yes—
1360C4×Q8C2411yescharacteristic
1361C4×Q8C2413yes—
1362C4×D4—23no—
1363C4×D4—23no—
1364C4×D4—23no—
1365C4×D4—23no—
1366C4×D4—26no—
1367C4×D4—23no—
1368C4×D4—23no—
1369C4×D4—23no—
1370C4×D4—23no—
1371C4×D4—23no—
1372C4×D4—23no—
1373C4×D4—23no—
1374C4×D4—23no—
1375C4×D4—23no—
1376C4×D4—23no—
1377C4×D4—23no—
1378C4×D4—23no—
1379C4×D4—21no—
1380C4×D4—23no—
1381C4×D4—23no—
1382C4×D4—23no—
1383C4×D4—23no—
1384C4×D4—23no—
1385C4×D4—21no—
1386C4×D4—26no—
1387C4×D4—26no—
1388C4×D4—23no—
1389C4×D4—23no—
1390C4×D4—23no—
1391C4×D4—26no—
1392C4×D4—23no—
1393C4×D4—23no—
1394C4×D4—23no—
1395C4×D4—23no—
1396C4×D4—23no—
1397C4×D4—23no—
1398C4×D4—23no—
1399C4×D4—23no—
1400C4×D4C2×D413yes—
1401C4×D4C2×D413yes—
1402C4×D4C2×D413yes—
1403C4×D4C2×D413yes—
1404C4×D4C2×D413yes—
1405C4×D4C2×D413yes—
1406C4×D4C2413yes—
1407C4×D4C2416yes—
1408C4×D4C2413yes—
1409C4×D4C2416yes—
1410C4×D4C2413yes—
1411C4×D4C2413yes—
1412C4×D4C2411yescharacteristic
1413C4×D4C2413yes—
1414C4×D4C2413yes—
1415C4×D4C2413yes—
1416C4×D4C2416yes—
1417#117—23no—
1418#117—23no—
1419#117—23no—
1420#117—23no—
1421#117C2413yes—
1422#117C2413yes—
1423#117C2413yes—
1424C2×C4⋊C4—23no—
1425C2×C4⋊C4—23no—
1426C2×C4⋊C4—23no—
1427C2×C4⋊C4—23no—
1428C2×C4⋊C4—23no—
1429C2×C4⋊C4—23no—
1430C2×C4⋊C4—26no—
1431C2×C4⋊C4—26no—
1432C2×C4⋊C4—26no—
1433C2×C4⋊C4—23no—
1434C2×C4⋊C4—23no—
1435C2×C4⋊C4—23no—
1436C2×C4⋊C4—26no—
1437C2×C4⋊C4—26no—
1438C2×C4⋊C4C2×D413yes—
1439C2×C4⋊C4C2413yes—
1440C2×C4⋊C4C2413yes—
1441C2×C22⋊C4—23no—
1442C2×C22⋊C4—23no—
1443C2×C22⋊C4—23no—
1444C2×C22⋊C4—23no—
1445C2×C22⋊C4—23no—
1446C2×C22⋊C4—23no—
1447C2×C22⋊C4—23no—
1448C2×C22⋊C4—23no—
1449C2×C22⋊C4—23no—
1450C2×C22⋊C4—26no—
1451C2×C22⋊C4—26no—
1452C2×C22⋊C4—26no—
1453C2×C22⋊C4—26no—
1454C2×C22⋊C4—26no—
1455C2×C22⋊C4—23no—
1456C2×C22⋊C4—23no—
1457C2×C22⋊C4—23no—
1458C2×C22⋊C4—26no—
1459C2×C22⋊C4—26no—
1460C2×C22⋊C4—26no—
1461C2×C22⋊C4C2×D413yes—
1462C2×C22⋊C4C2×D413yes—
1463C2×C42—23no—
1464C2×C42—23no—
1465C2×C42C2413yes—
1466#107C2413yes—
1467#107C2413yes—
1468#106C2413yes—
1469#106C2416yes—
1470#106C2411yescharacteristic
1471C4⋊C8C2411yescharacteristic
1472C4⋊C8C2413yes—
1473C4⋊C8C2413yes—
1474C4⋊C8C2413yes—
1475C4⋊C8C2416yes—
1476#103C2413yes—
1477#103C2413yes—
1478#103C2413yes—
1479#103C2416yes—
1480#103C2416yes—
1481#103C2416yes—
1482#103C2411yescharacteristic
1483#103C2411yescharacteristic
1484#103C2413yes—
1485#103C2413yes—
1486#103C2411yescharacteristic
1487#103C2413yes—
1488#103C2413yes—
1489#103C2413yes—
1490#103C2413yes—
1491#102C2413yes—
1492#102C2413yes—
1493#102C2416yes—
1494#102C2416yes—
1495#102C2413yes—
1496#102C2416yes—
1497#102C2413yes—
1498#102C2413yes—
1499#102C2411yescharacteristic
1500#102C2411yescharacteristic
1501#102C2411yescharacteristic
1502#102C2413yes—
1503#102C2413yes—
1504#102C2413yes—
1505#102C2413yes—
1506C22⋊C8C2411yescharacteristic
1507C22⋊C8C2413yes—
1508C22⋊C8C2413yes—
1509C22⋊C8C2413yes—
1510C22⋊C8C2411yescharacteristic
1511C22⋊C8C2413yes—
1512C22⋊C8C2413yes—
1513C22⋊C8C2413yes—
1514C22⋊C8C2416yes—
1515C22⋊C8C2416yes—
1516#97C2411yescharacteristic
1517#97C2413yes—
1518#97C2413yes—
1519#97C2413yes—
1520C4×C8C2416yes—
1521C24—23no—
1522C24—23no—
1523C24—23no—
1524C24—23no—
1525C24—23no—
1526C24—26no—
1527C24—23no—
1528C24—23no—
1529C24—412no—
1530C24—86no—
1531C24—163no—
1532C24C22×D413yes—
1533C24C22×D413yes—
1534#41—24no—
1535#41—24no—
1536#41—28no—
1537#41—28no—
1538#41—212no—
1539#41—212no—
1540#41—26no—
1541#41—26no—
1542#41—26no—
1543#41—26no—
1544#41—26no—
1545#41—26no—
1546#41—22no—
1547#41—22no—
1548#41—26no—
1549#41—22no—
1550#41—26no—
1551#41—26no—
1552#41—212no—
1553#41—26no—
1554#41—212no—
1555#41—212no—
1556#41—26no—
1557#41—26no—
1558#41—26no—
1559#41—26no—
1560#41—26no—
1561#41—26no—
1562#41—26no—
1563#41—26no—
1564#41—26no—
1565#41—412no—
1566#41—412no—
1567#41—412no—
1568#41—412no—
1569#41—41no—
1570#41—43no—
1571#41—41no—
1572#41—41no—
1573#41—43no—
1574#41—43no—
1575#41—43no—
1576#41—43no—
1577#41—46no—
1578#41—46no—
1579#41—46no—
1580#41—412no—
1581#41—412no—
1582#41—412no—
1583#41—412no—
1584#41—412no—
1585#41—412no—
1586#41—412no—
1587#41—412no—
1588#41—412no—
1589#41—412no—
1590#41—412no—
1591#41—412no—
1592#41—412no—
1593#41—412no—
1594#41—424no—
1595#41—424no—
1596#41—424no—
1597#41—412no—
1598#41—412no—
1599#41—412no—
1600#41—412no—
1601#41—44no—
1602#41—412no—
1603#41—412no—
1604#41—412no—
1605#41C22×D4112yes—
1606#41C22×D4112yes—
1607#41C22×D414yes—
1608#41H(5,𝔽2)14yes—
1609C2×Q8—24no—
1610C2×Q8—24no—
1611C2×Q8—23no—
1612C2×Q8—23no—
1613C2×Q8—23no—
1614C2×Q8—23no—
1615C2×Q8—23no—
1616C2×Q8—23no—
1617C2×Q8—21no—
1618C2×Q8—26no—
1619C2×Q8—26no—
1620C2×Q8—26no—
1621C2×Q8—22no—
1622C2×Q8—26no—
1623C2×Q8—26no—
1624C2×Q8—26no—
1625C2×Q8—26no—
1626C2×Q8—26no—
1627C2×Q8—26no—
1628C2×Q8—41no—
1629C2×Q8—43no—
1630C2×Q8—43no—
1631C2×Q8—43no—
1632C2×Q8—412no—
1633C2×Q8—412no—
1634C2×Q8—412no—
1635C2×Q8—44no—
1636C2×Q8—44no—
1637C2×Q8—44no—
1638C2×Q8C22×D413yes—
1639C2×Q8C22×D413yes—
1640C2×Q8C22×D411yescharacteristic
1641C2×Q8C2513yes—
1642C2×Q8C2513yes—
1643C2×Q8C2513yes—
1644C2×Q8C2511yescharacteristic
1645C2×Q8C2511yescharacteristic
1646C2×Q8C2511yescharacteristic
1647C2×D4—23no—
1648C2×D4—23no—
1649C2×D4—224no—
1650C2×D4—224no—
1651C2×D4—212no—
1652C2×D4—212no—
1653C2×D4—26no—
1654C2×D4—212no—
1655C2×D4—26no—
1656C2×D4—26no—
1657C2×D4—26no—
1658C2×D4—21no—
1659C2×D4—26no—
1660C2×D4—23no—
1661C2×D4—23no—
1662C2×D4—23no—
1663C2×D4—23no—
1664C2×D4—23no—
1665C2×D4—26no—
1666C2×D4—26no—
1667C2×D4—23no—
1668C2×D4—23no—
1669C2×D4—23no—
1670C2×D4—23no—
1671C2×D4—21no—
1672C2×D4—21no—
1673C2×D4—21no—
1674C2×D4—21no—
1675C2×D4—21no—
1676C2×D4—23no—
1677C2×D4—23no—
1678C2×D4—23no—
1679C2×D4—26no—
1680C2×D4—23no—
1681C2×D4—23no—
1682C2×D4—23no—
1683C2×D4—23no—
1684C2×D4—26no—
1685C2×D4—21no—
1686C2×D4—23no—
1687C2×D4—23no—
1688C2×D4—26no—
1689C2×D4—23no—
1690C2×D4—23no—
1691C2×D4—23no—
1692C2×D4—21no—
1693C2×D4—23no—
1694C2×D4—23no—
1695C2×D4—26no—
1696C2×D4—26no—
1697C2×D4—26no—
1698C2×D4—43no—
1699C2×D4—46no—
1700C2×D4—43no—
1701C2×D4—43no—
1702C2×D4—43no—
1703C2×D4—412no—
1704C2×D4—412no—
1705C2×D4—412no—
1706C2×D4—412no—
1707C2×D4—424no—
1708C2×D4—412no—
1709C2×D4—412no—
1710C2×D4—412no—
1711C2×D4—412no—
1712C2×D4—412no—
1713C2×D4—424no—
1714C2×D4—412no—
1715C2×D4—412no—
1716C2×D4—412no—
1717C2×D4—424no—
1718C2×D4—424no—
1719C2×D4—424no—
1720C2×D4—412no—
1721C2×D4—412no—
1722C2×D4—412no—
1723C2×D4—412no—
1724C2×D4—83no—
1725C2×D4—86no—
1726C2×D4—86no—
1727C2×D4—166no—
1728C2×D4—163no—
1729C2×D4C22×D416yes—
1730C2×D4C22×D416yes—
1731C2×D4C22×D413yes—
1732C2×D4C22×D413yes—
1733C2×D4C22×D4112yes—
1734C2×D4C22×D4112yes—
1735C2×D4C22×D413yes—
1736C2×D4C22×D413yes—
1737C2×D4C22×D416yes—
1738C2×D4C22×D411yescharacteristic
1739C2×D4C22×D413yes—
1740C2×D4C22×D413yes—
1741C2×D4C2511yescharacteristic
1742C2×D4C2511yescharacteristic
1743C2×D4C2513yes—
1744C2×D4C2511yescharacteristic
1745C2×D4C2513yes—
1746C2×D4C2513yes—
1747C22×C4—23no—
1748C22×C4—23no—
1749C22×C4—26no—
1750C22×C4—26no—
1751C22×C4—26no—
1752C22×C4—26no—
1753C22×C4—23no—
1754C22×C4—23no—
1755C22×C4—23no—
1756C22×C4—23no—
1757C22×C4—21no—
1758C22×C4—23no—
1759C22×C4—23no—
1760C22×C4—23no—
1761C22×C4—23no—
1762C22×C4—23no—
1763C22×C4—23no—
1764C22×C4—26no—
1765C22×C4—23no—
1766C22×C4—23no—
1767C22×C4—23no—
1768C22×C4—26no—
1769C22×C4—26no—
1770C22×C4—21no—
1771C22×C4—23no—
1772C22×C4—21no—
1773C22×C4—21no—
1774C22×C4—23no—
1775C22×C4—23no—
1776C22×C4—23no—
1777C22×C4—23no—
1778C22×C4—23no—
1779C22×C4—23no—
1780C22×C4—23no—
1781C22×C4—26no—
1782C22×C4—26no—
1783C22×C4—412no—
1784C22×C4—412no—
1785C22×C4—412no—
1786C22×C4—412no—
1787C22×C4—412no—
1788C22×C4—412no—
1789C22×C4—412no—
1790C22×C4—86no—
1791C22×C4—163no—
1792C22×C4C22×D413yes—
1793C22×C4C22×D413yes—
1794C22×C4C22×D413yes—
1795C22×C4C22×D413yes—
1796C22×C4C22×D413yes—
1797C22×C4C22×D413yes—
1798C22×C4C22×D413yes—
1799C22×C4C22×D413yes—
1800C22×C4C2511yescharacteristic
1801C22×C4C2513yes—
1802C22×C4C2513yes—
1803C22×C4C2511yescharacteristic
1804C22×C4C2513yes—
1805Q16—26no—
1806Q16—26no—
1807Q16—26no—
1808Q16—22no—
1809Q16—26no—
1810Q16—212no—
1811Q16—26no—
1812Q16—43no—
1813Q16—46no—
1814Q16—43no—
1815Q16C22×D414yes—
1816SD16—22no—
1817SD16—22no—
1818SD16—26no—
1819SD16—22no—
1820SD16—26no—
1821SD16—26no—
1822SD16—26no—
1823SD16—212no—
1824SD16—212no—
1825SD16—212no—
1826SD16—26no—
1827SD16—26no—
1828SD16—212no—
1829SD16—26no—
1830SD16—26no—
1831SD16—22no—
1832SD16—43no—
1833SD16—46no—
1834SD16—41no—
1835SD16—43no—
1836SD16—43no—
1837SD16C22×D4112yes—
1838SD16C22×D4112yes—
1839D8—26no—
1840D8—26no—
1841D8—212no—
1842D8—26no—
1843D8—26no—
1844D8—22no—
1845D8—26no—
1846D8—41no—
1847D8—43no—
1848D8C22×D4112yes—
1849D8C22×D4124yes—
1850M16—26no—
1851M16—26no—
1852M16—26no—
1853M16—22no—
1854M16—26no—
1855M16—26no—
1856M16—26no—
1857M16—212no—
1858M16C22×D4112yes—
1859C2×C8—26no—
1860C2×C8—26no—
1861C2×C8—26no—
1862C2×C8—22no—
1863C2×C8—26no—
1864C2×C8—26no—
1865C2×C8—26no—
1866C2×C8—212no—
1867C2×C8C22×D4112yes—
1868C2×C8C2513yes—
1869C2×C8C2511yescharacteristic
1870C2×C8C2511yescharacteristic
1871C2×C8C2513yes—
1872C2×C8C2511yescharacteristic
1873C2×C8C2513yes—
1874C2×C8C2513yes—
1875C2×C8C2511yescharacteristic
1876C4⋊C4—23no—
1877C4⋊C4—23no—
1878C4⋊C4—23no—
1879C4⋊C4—21no—
1880C4⋊C4—26no—
1881C4⋊C4—26no—
1882C4⋊C4—26no—
1883C4⋊C4—23no—
1884C4⋊C4—23no—
1885C4⋊C4—23no—
1886C4⋊C4—23no—
1887C4⋊C4—26no—
1888C4⋊C4—23no—
1889C4⋊C4—23no—
1890C4⋊C4—26no—
1891C4⋊C4—23no—
1892C4⋊C4—23no—
1893C4⋊C4—23no—
1894C4⋊C4—23no—
1895C4⋊C4—23no—
1896C4⋊C4—23no—
1897C4⋊C4—21no—
1898C4⋊C4—21no—
1899C4⋊C4C22×D411yescharacteristic
1900C4⋊C4C22×D413yes—
1901C4⋊C4C22×D413yes—
1902C4⋊C4C22×D413yes—
1903C4⋊C4C22×D416yes—
1904C4⋊C4C22×D413yes—
1905C4⋊C4C22×D413yes—
1906C4⋊C4C2513yes—
1907C4⋊C4C2511yescharacteristic
1908C4⋊C4C2513yes—
1909C4⋊C4C2511yescharacteristic
1910C22⋊C4—23no—
1911C22⋊C4—26no—
1912C22⋊C4—23no—
1913C22⋊C4—23no—
1914C22⋊C4—23no—
1915C22⋊C4—23no—
1916C22⋊C4—26no—
1917C22⋊C4—26no—
1918C22⋊C4—23no—
1919C22⋊C4—23no—
1920C22⋊C4—23no—
1921C22⋊C4—23no—
1922C22⋊C4—21no—
1923C22⋊C4—23no—
1924C22⋊C4—23no—
1925C22⋊C4—21no—
1926C22⋊C4—21no—
1927C22⋊C4—21no—
1928C22⋊C4—26no—
1929C22⋊C4—26no—
1930C22⋊C4—23no—
1931C22⋊C4—23no—
1932C22⋊C4—26no—
1933C22⋊C4—23no—
1934C22⋊C4—23no—
1935C22⋊C4—26no—
1936C22⋊C4—23no—
1937C22⋊C4—26no—
1938C22⋊C4—23no—
1939C22⋊C4—23no—
1940C22⋊C4—23no—
1941C22⋊C4—23no—
1942C22⋊C4—23no—
1943C22⋊C4—23no—
1944C22⋊C4—23no—
1945C22⋊C4—23no—
1946C22⋊C4—21no—
1947C22⋊C4—21no—
1948C22⋊C4C22×D411yescharacteristic
1949C22⋊C4C22×D413yes—
1950C22⋊C4C22×D413yes—
1951C22⋊C4C22×D413yes—
1952C22⋊C4C22×D416yes—
1953C22⋊C4C22×D416yes—
1954C22⋊C4C22×D413yes—
1955C22⋊C4C22×D413yes—
1956C22⋊C4C22×D416yes—
1957C22⋊C4C22×D411yescharacteristic
1958C22⋊C4C22×D413yes—
1959C42—21no—
1960C42—21no—
1961C42—23no—
1962C42—23no—
1963C42—23no—
1964C42—23no—
1965C42C22×D413yes—
1966C42C22×D413yes—
1967C42C2513yes—
1968C42C2511yescharacteristic
1969C23—23no—
1970C23—23no—
1971C23—26no—
1972C23—26no—
1973C23—212no—
1974C23—212no—
1975C23—21no—
1976C23—21no—
1977C23—23no—
1978C23—21no—
1979C23—43no—
1980C23—43no—
1981C23—43no—
1982C23—43no—
1983C23—46no—
1984C23—46no—
1985C23—46no—
1986C23—46no—
1987C23—412no—
1988C23—46no—
1989C23—46no—
1990C23—83no—
1991C23—83no—
1992C23—83no—
1993C23—83no—
1994C23—83no—
1995C23—83no—
1996C23—83no—
1997C23—83no—
1998C23—83no—
1999C23—83no—
2000C23—86no—
2001C23—83no—
2002C23—83no—
2003C23—83no—
2004C23—86no—
2005C23—1624no—
2006C23C23×D411yescharacteristic
2007C23C23×D413yes—
2008C23C23×D413yes—
2009C23C23×D411yescharacteristic
2010C23C23×D413yes—
2011Q8—21no—
2012Q8—21no—
2013Q8—26no—
2014Q8—26no—
2015Q8—23no—
2016Q8—23no—
2017Q8—23no—
2018Q8—21no—
2019Q8—23no—
2020Q8—23no—
2021Q8—23no—
2022Q8—21no—
2023Q8—46no—
2024Q8—46no—
2025Q8—46no—
2026Q8—42no—
2027Q8—46no—
2028Q8—46no—
2029Q8—46no—
2030Q8D4214yes—
2031Q8C23×D412yes—
2032Q8C23×D412yes—
2033D4—212no—
2034D4—212no—
2035D4—212no—
2036D4—212no—
2037D4—21no—
2038D4—23no—
2039D4—21no—
2040D4—21no—
2041D4—23no—
2042D4—23no—
2043D4—21no—
2044D4—23no—
2045D4—21no—
2046D4—21no—
2047D4—212no—
2048D4—212no—
2049D4—26no—
2050D4—26no—
2051D4—41no—
2052D4—43no—
2053D4—43no—
2054D4—43no—
2055D4—46no—
2056D4—46no—
2057D4—412no—
2058D4—46no—
2059D4—46no—
2060D4—46no—
2061D4—46no—
2062D4—42no—
2063D4—42no—
2064D4—42no—
2065D4—42no—
2066D4—46no—
2067D4—46no—
2068D4—46no—
2069D4—46no—
2070D4—412no—
2071D4—412no—
2072D4—412no—
2073D4—42no—
2074D4—46no—
2075D4—46no—
2076D4—46no—
2077D4—46no—
2078D4—46no—
2079D4—81no—
2080D4—83no—
2081D4—83no—
2082D4—81no—
2083D4—81no—
2084D4—83no—
2085D4—83no—
2086D4—83no—
2087D4—86no—
2088D4—83no—
2089D4—83no—
2090D4D42112yes—
2091D4C23×D416yes—
2092D4C23×D416yes—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—26no—
2096C2×C4—26no—
2097C2×C4—21no—
2098C2×C4—23no—
2099C2×C4—23no—
2100C2×C4—21no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—23no—
2104C2×C4—23no—
2105C2×C4—26no—
2106C2×C4—26no—
2107C2×C4—26no—
2108C2×C4—26no—
2109C2×C4—212no—
2110C2×C4—212no—
2111C2×C4—21no—
2112C2×C4—21no—
2113C2×C4—23no—
2114C2×C4—23no—
2115C2×C4—23no—
2116C2×C4—21no—
2117C2×C4—23no—
2118C2×C4—23no—
2119C2×C4—43no—
2120C2×C4—43no—
2121C2×C4—42no—
2122C2×C4—42no—
2123C2×C4—42no—
2124C2×C4—46no—
2125C2×C4—42no—
2126C2×C4—46no—
2127C2×C4—46no—
2128C2×C4—46no—
2129C2×C4—46no—
2130C2×C4—46no—
2131C2×C4—46no—
2132C2×C4—46no—
2133C2×C4—412no—
2134C2×C4—412no—
2135C2×C4—412no—
2136C2×C4—46no—
2137C2×C4—46no—
2138C2×C4—46no—
2139C2×C4—46no—
2140C2×C4—46no—
2141C2×C4—46no—
2142C2×C4—46no—
2143C2×C4—46no—
2144C2×C4—83no—
2145C2×C4—86no—
2146C2×C4—83no—
2147C2×C4—86no—
2148C2×C4—83no—
2149C2×C4—83no—
2150C2×C4—83no—
2151C2×C4C23×D411yescharacteristic
2152C2×C4C23×D411yescharacteristic
2153C2×C4C23×D413yes—
2154C2×C4C23×D413yes—
2155C2×C4C23×D411yescharacteristic
2156C2×C4C23×D413yes—
2157C2×C4C23×D411yescharacteristic
2158C2×C4C23×D413yes—
2159C2×C4C23×D416yes—
2160C2×C4C23×D413yes—
2161C2×C4C2×H(5,𝔽2)16yes—
2162C2×C4C2611yescharacteristic
2163C8—21no—
2164C8—21no—
2165C8—23no—
2166C8—23no—
2167C8—21no—
2168C8—23no—
2169C8C23×D412yes—
2170C8C23×D416yes—
2171C22—23no—
2172C22—23no—
2173C22—21no—
2174C22—21no—
2175C22—23no—
2176C22—23no—
2177C22—23no—
2178C22—23no—
2179C22—21no—
2180C22—21no—
2181C22—21no—
2182C22—21no—
2183C22—23no—
2184C22—23no—
2185C22—26no—
2186C22—26no—
2187C22—43no—
2188C22—43no—
2189C22—43no—
2190C22—43no—
2191C22—41no—
2192C22—41no—
2193C22—41no—
2194C22—43no—
2195C22—41no—
2196C22—43no—
2197C22—41no—
2198C22—41no—
2199C22—41no—
2200C22—41no—
2201C22—41no—
2202C22—43no—
2203C22—86no—
2204C22—86no—
2205C22—812no—
2206C22—812no—
2207C22—812no—
2208C22—166no—
2209C22—166no—
2210C22—166no—
2211C22—166no—
2212C22—1612no—
2213C22C2×D4216yes—
2214C22C24×D411yescharacteristic
2215C4—21no—
2216C4—23no—
2217C4—21no—
2218C4—23no—
2219C4—21no—
2220C4—21no—
2221C4—22no—
2222C4—22no—
2223C4—23no—
2224C4—23no—
2225C4—43no—
2226C4—41no—
2227C4—43no—
2228C4—41no—
2229C4—41no—
2230C4—43no—
2231C4—43no—
2232C4—43no—
2233C4C2×D4216yes—
2234C4C24×D411yescharacteristic
2235C4C22×H(5,𝔽2)11yescharacteristic
2236C2—26no—
2237C2—41no—
2238C2—41no—
2239C2—43no—
2240C2—43no—
2241C2—46no—
2242C2—46no—
2243C2—83no—
2244C2—81no—
2245C2—81no—
2246C2—81no—
2247C2C22×D4211yescharacteristic
2248C2#6309011yescharacteristic
2249C2#6309211yescharacteristic
subgroupG/H
center, socleC22C24×D4
commutator, Frattini, cosocleC2×C4C26
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ D4×#41 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3585C2semidirect
2. C2×#3584C2semidirect
3. #62988C2semidirect
4. #62987C2semidirect
5. #61094C2semidirect
6. #61092C2semidirect
7. #61083C2semidirect
8. #61079C2semidirect
9. #61074C2semidirect
10. #61073C2semidirect
11. #61073C2semidirect
12. #61071C2semidirect
13. #61067C2semidirect
14. #61066C2semidirect
15. #61064C2semidirect
16. #61058C2semidirect
17. #61055C2semidirect
18. #61051C2semidirect
19. #61030C2semidirect
20. C2×#3267C2semidirect
21. #60651C2semidirect
22. #60462C2semidirect
23. #60457C2semidirect
24. #60430C2semidirect
25. #60429C2semidirect
26. #60377C2semidirect
27. #60377C2semidirect
28. #60376C2semidirect
29. #60373C2semidirect
30. #60176C2semidirect
31. #60146C2semidirect
32. C2×#585C22semidirect
33. C2×#585C22semidirect
34. C2×#585C22semidirect
35. C22×H(5,𝔽2)C22semidirect
38. C2×#578C22semidirect
39. C2×#578C22semidirect
40. C2×#578C22semidirect
41. C2×#577C22semidirect
42. C2×#577C22semidirect
43. C2×#577C22semidirect
44. C2×#577C22semidirect
45. C2×#577C22semidirect
46. C2×#577C22semidirect
47. C2×#577C22semidirect
48. C2×#577C22semidirect
49. C2×#577C22semidirect
51. C2×#576C22semidirect
52. C2×#576C22semidirect
53. C2×#576C22semidirect
54. C2×#576C22semidirect
55. C2×#575C22semidirect
56. C2×#575C22semidirect
57. C2×#575C22semidirect
58. C2×#575C22semidirect
59. C22×AGL(1,ℤ/8)C22semidirect
60. C22×AGL(1,ℤ/8)C22semidirect
61. C22×#135C22semidirect
62. C22×#135C22semidirect
63. C2×#568C22semidirect
64. C22×#131C22semidirect
66. #3500C22semidirect
67. #3500C22semidirect
69. #3499C22semidirect
70. #3499C22semidirect
73. #3496C22semidirect
74. #3496C22semidirect
78. #3489C22semidirect
79. #3489C22semidirect
80. #3489C22semidirect
81. #3489C22semidirect
82. #3489C22semidirect
83. #3489C22semidirect
85. #3488C22semidirect
86. #3488C22semidirect
90. #3485C22semidirect
91. #3485C22semidirect
92. #3485C22semidirect
94. #3484C22semidirect
98. D4×#41C22semidirect
99. D4×#41C22semidirect
101. C2×#547C22semidirect
103. C2×#546C22semidirect
104. C4×H(5,𝔽2)C22semidirect
105. C4×H(5,𝔽2)C22semidirect
106. #3284C22semidirect
107. #3283C22semidirect
108. #3283C22semidirect
109. #3282C22semidirect
110. #3282C22semidirect
111. D4×SD16C22semidirect
112. #3280C22semidirect
113. #3280C22semidirect
114. #3276C22semidirect
115. #3276C22semidirect
116. #3275C22semidirect
117. #3275C22semidirect
118. #3273C22semidirect
119. #3273C22semidirect
120. #3272C22semidirect
121. #3272C22semidirect
122. #3271C22semidirect
123. #3271C22semidirect
124. #3270C22semidirect
125. #3270C22semidirect
126. #3270C22semidirect
127. #3269C22semidirect
128. #3269C22semidirect
129. #3269C22semidirect
130. #3269C22semidirect
131. #3268C22semidirect
132. #3268C22semidirect
133. #3267C22semidirect
134. #3267C22semidirect
135. #3267C22semidirect
136. #3267C22semidirect
137. #3267C22semidirect
138. #3267C22semidirect
139. #3267C22semidirect
140. #3267C22semidirect
141. #3267C22semidirect
142. #3267C22semidirect
143. #3267C22semidirect
144. #3267C22semidirect
145. #3267C22semidirect
146. #3266C22semidirect
147. #3266C22semidirect
148. #3266C22semidirect
149. #3266C22semidirect
150. #3265C22semidirect
151. #3265C22semidirect
152. #3264C22semidirect
153. #3264C22semidirect
154. #3264C22semidirect
155. #3264C22semidirect
156. #3264C22semidirect
157. #3156C22semidirect
158. #3156C22semidirect
159. #3154C22semidirect
160. #3154C22semidirect
161. #3153C22semidirect
162. #3152C22semidirect
163. #3150C22semidirect
164. C2×#497C22semidirect
165. #3063C22semidirect
166. #3063C22semidirect
167. #3063C22semidirect
168. #3062C22semidirect
169. #3060C22semidirect
170. #3060C22semidirect
171. #3059C22semidirect
172. #3057C22semidirect
173. #3056C22semidirect
174. #3056C22semidirect
175. #3056C22semidirect
176. #3055C22semidirect
177. #3054C22semidirect
178. C2×#470C22semidirect
179. #3050C22semidirect
180. C2×#465C22semidirect
181. #3046C22semidirect
182. #3046C22semidirect
183. #3046C22semidirect
184. #3045C22semidirect
185. #3042C22semidirect
186. #3042C22semidirect
187. #3042C22semidirect
188. #3041C22semidirect
189. #3040C22semidirect
190. #3039C22semidirect
191. #3036C22semidirect
192. #3036C22semidirect
193. #3035C22semidirect
194. #3035C22semidirect
195. C2×#463C22semidirect
196. C2×#461C22semidirect
197. #3013C22semidirect
198. #3013C22semidirect
199. #3013C22semidirect
200. #3012C22semidirect
201. #3012C22semidirect
202. #3012C22semidirect
203. #3012C22semidirect
204. #3012C22semidirect
205. #3011C22semidirect
206. #3011C22semidirect
207. #3010C22semidirect
208. #3009C22semidirect
209. #3009C22semidirect
210. #3009C22semidirect
211. #3009C22semidirect
212. #3008C22semidirect
213. #3007C22semidirect
214. #3007C22semidirect
215. #3007C22semidirect
216. #3006C22semidirect
217. #3005C22semidirect
218. #3005C22semidirect
219. #3005C22semidirect
220. #3003C22semidirect
221. #3002C22semidirect
222. #3002C22semidirect
223. #3002C22semidirect
224. #3002C22semidirect
225. C2×#452C22semidirect
226. C2×#452C22semidirect
227. C2×#449C22semidirect
228. C2×#450C22semidirect
229. #2952C22semidirect
230. #2948C22semidirect
231. #2946C22semidirect
232. #2946C22semidirect
233. C4×AGL(1,ℤ/8)C22semidirect
234. C4×AGL(1,ℤ/8)C22semidirect
235. #2943C22semidirect
236. C2×#442C22semidirect
237. #2935C22semidirect
238. D4×M16C22semidirect
239. #2933C22semidirect
240. #2933C22semidirect
241. #2932C22semidirect
242. #2930C22semidirect
243. #2929C22semidirect
244. C2×#435C22semidirect
245. #2912C22semidirect
246. #2906C22semidirect
247. #2898C22semidirect
248. #2898C22semidirect
249. #2898C22semidirect
250. #2897C22semidirect
251. #2897C22semidirect
252. #2897C22semidirect
253. #2880C22semidirect
254. #2880C22semidirect
255. #2875C22semidirect
270. C2×2−1+4C23semidirect
285. C2×H(5,𝔽2)C23semidirect
300. C22×#41C23semidirect
301. C22×#41C23semidirect
320. #576D4semidirect
333. C2×#137C23semidirect
334. C2×#137C23semidirect
335. C2×#137C23semidirect
336. C2×#137C23semidirect
337. C2×#137C23semidirect
338. C2×#137C23semidirect
339. C2×#137C23semidirect
357. C2×AGL(1,ℤ/8)C23semidirect
358. C2×AGL(1,ℤ/8)C23semidirect
359. C2×AGL(1,ℤ/8)C23semidirect
370. C2×#135C23semidirect
371. C2×#135C23semidirect
372. C2×#135C23semidirect
373. C2×#135C23semidirect
374. C2×#135C23semidirect
375. C2×#135C23semidirect
376. C2×#135C23semidirect
377. C2×#135C23semidirect
378. C2×#135C23semidirect
379. C2×#135C23semidirect
380. C22×Q16C23semidirect
381. C22×Q16C23semidirect
382. C22×Q16C23semidirect
388. C22×SD16C23semidirect
389. C22×SD16C23semidirect
390. C22×SD16C23semidirect
394. C22×D8C23semidirect
403. C2×#131C23semidirect
404. C2×#131C23semidirect
407. C22×M16C23semidirect
408. C23×C8C23semidirect
420. D4×Q8C23semidirect
421. D4×Q8C23semidirect
434. #548C23semidirect
464. #547C23semidirect
465. #547C23semidirect
466. #547C23semidirect
508. #546C23semidirect
509. #546C23semidirect
510. #546C23semidirect
522. D42C23semidirect
530. #537C23semidirect
540. #536C23semidirect
541. #536C23semidirect
542. #536C23semidirect
559. #532C23semidirect
561. C2×C4⋊Q8C23semidirect
577. #525C23semidirect
589. C2×C22⋊Q8C23semidirect
603. #520C23semidirect
607. #518C23semidirect
612. C4×#41C23semidirect
619. C2×C4×D4C23semidirect
622. #497C23semidirect
623. #497C23semidirect
624. #497C23semidirect
625. #497C23semidirect
626. #497C23semidirect
627. #497C23semidirect
628. #497C23semidirect
629. #496C23semidirect
630. #496C23semidirect
631. #496C23semidirect
632. #496C23semidirect
633. #495C23semidirect
634. #495C23semidirect
635. #494C23semidirect
636. #492C23semidirect
639. #470C23semidirect
640. #470C23semidirect
641. #470C23semidirect
642. #470C23semidirect
644. #469C23semidirect
645. #469C23semidirect
648. #468C23semidirect
649. #468C23semidirect
650. #468C23semidirect
651. #468C23semidirect
652. #467C23semidirect
653. #467C23semidirect
654. #467C23semidirect
655. #467C23semidirect
656. #466C23semidirect
657. #466C23semidirect
658. #465C23semidirect
659. #465C23semidirect
660. #465C23semidirect
661. #465C23semidirect
662. #465C23semidirect
663. #465C23semidirect
664. #465C23semidirect
665. #465C23semidirect
666. #465C23semidirect
667. #464C23semidirect
668. #464C23semidirect
669. #464C23semidirect
670. #464C23semidirect
671. #464C23semidirect
672. #463C23semidirect
673. #463C23semidirect
674. #463C23semidirect
675. #463C23semidirect
676. #463C23semidirect
677. #463C23semidirect
678. #463C23semidirect
679. #463C23semidirect
680. #463C23semidirect
681. #463C23semidirect
682. #462C23semidirect
683. #462C23semidirect
684. #462C23semidirect
685. #461C23semidirect
686. #461C23semidirect
687. #461C23semidirect
688. #461C23semidirect
689. #461C23semidirect
690. #461C23semidirect
691. #461C23semidirect
692. #460C23semidirect
693. #460C23semidirect
694. #459C23semidirect
695. #459C23semidirect
696. #459C23semidirect
704. #452C23semidirect
705. #452C23semidirect
706. #452C23semidirect
707. #452C23semidirect
708. #452C23semidirect
709. #452C23semidirect
710. #452C23semidirect
711. #452C23semidirect
712. #452C23semidirect
713. #452C23semidirect
714. #452C23semidirect
715. #452C23semidirect
717. #451C23semidirect
718. #451C23semidirect
719. #451C23semidirect
720. #451C23semidirect
721. #451C23semidirect
727. #450C23semidirect
728. #450C23semidirect
729. #450C23semidirect
730. #450C23semidirect
731. #450C23semidirect
736. #449C23semidirect
737. #449C23semidirect
738. #449C23semidirect
739. #449C23semidirect
740. #449C23semidirect
741. #449C23semidirect
742. #449C23semidirect
743. #449C23semidirect
744. #449C23semidirect
745. #449C23semidirect
747. #448C23semidirect
748. #448C23semidirect
749. #448C23semidirect
750. #448C23semidirect
753. #447C23semidirect
754. #447C23semidirect
755. #447C23semidirect
756. #447C23semidirect
757. #442C23semidirect
758. #442C23semidirect
759. #442C23semidirect
760. #442C23semidirect
761. #442C23semidirect
762. #441C23semidirect
763. #441C23semidirect
764. #440C23semidirect
765. #440C23semidirect
766. #440C23semidirect
767. #440C23semidirect
768. C4×SD16C23semidirect
769. C4×SD16C23semidirect
770. C4×D8C23semidirect
771. C4×D8C23semidirect
773. #436C23semidirect
778. #435C23semidirect
779. #435C23semidirect
780. #435C23semidirect
781. #435C23semidirect
782. #435C23semidirect
783. #435C23semidirect
784. #435C23semidirect
785. C8×D4C23semidirect
786. C8×D4C23semidirect
787. #428C23semidirect
788. #428C23semidirect
789. #427C23semidirect
790. C2×#106C23semidirect
791. #424C23semidirect
792. #424C23semidirect
793. #423C23semidirect
794. C2×C4⋊C8C23semidirect
795. #419C23semidirect
796. #419C23semidirect
797. #419C23semidirect
800. #418C23semidirect
803. #417C23semidirect
804. #417C23semidirect
805. #417C23semidirect
806. #417C23semidirect
809. #416C23semidirect
810. #416C23semidirect
811. #416C23semidirect
812. #416C23semidirect
813. C2×#103C23semidirect
814. C2×#103C23semidirect
815. C2×#103C23semidirect
818. C2×#102C23semidirect
821. #408C23semidirect
822. #408C23semidirect
824. #407C23semidirect
826. C2×C22⋊C8C23semidirect
827. #405C23semidirect
828. #405C23semidirect
829. C4×M16C23semidirect
830. C2×#97C23semidirect
866. H(5,𝔽2)C2×D4semidirect
867. H(5,𝔽2)C2×D4semidirect
1046. AGL(1,ℤ/8)C2×D4semidirect
1047. AGL(1,ℤ/8)C2×D4semidirect
1065. #135C2×D4semidirect
1114. C2×D8C2×D4semidirect
1133. #131C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35852
C2×#35842
#629882
#629872
#610942
#610922
#610832
#610792
#610742
#610732
#610712
#610672
#610662
#610642
#610582
#610552
#610512
#610302
C2×#32672
#606512
#604622
#604572
#604302
#604292
#603772
#603762
#603732
#601762
#601462