Finite Group Databasebeta

← #7145878

Subgroups — #7145878

Order 512.

2658 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3#59816C211yesmaximal, characteristic, complemented
4#39950C211yesmaximal, characteristic, complemented
5#31058C211yesmaximal, characteristic, complemented
6#31057C211yesmaximal, characteristic, complemented
7#31028C211yesmaximal, characteristic, complemented
8#31016C211yesmaximal, characteristic, complemented
9#30573C211yesmaximal, characteristic, complemented
10#30566C211yesmaximal, characteristic, complemented
11#30415C211yesmaximal, characteristic, complemented
12#30401C211yesmaximal, characteristic, complemented
13#28618C211yesmaximal, characteristic, complemented
14#28375C211yesmaximal, characteristic, complemented
15#25891C211yesmaximal, characteristic, complemented
16#25763C211yesmaximal, characteristic, complemented
17#25401C211yesmaximal, characteristic, complemented
18#25355C211yesmaximal, characteristic, complemented
19#25136C211yesmaximal, characteristic, complemented
20#25108C211yesmaximal, characteristic, complemented
21#24440C211yesmaximal, characteristic, complemented
22#24432C211yesmaximal, characteristic, complemented
23#24277C211yesmaximal, characteristic, complemented
24#24264C211yesmaximal, characteristic, complemented
25#24256C211yesmaximal, characteristic, complemented
26#24137C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#23684C211yesmaximal, characteristic, complemented
30#23174C211yesmaximal, characteristic, complemented
31#22147C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×SD16C2211yescharacteristic, complemented
34C2×#552C2211yescharacteristic, complemented
35C2×#548C2211yescharacteristic, complemented
36C2×D42—21no—
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×D42C2211yescharacteristic
41#3310—28no—
42#3265—28no—
43C2×#496C2211yescharacteristic
44C2×#490C2211yescharacteristic
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#478C2211yescharacteristic, complemented
48C2×#478C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic
56C2×#463C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#448C2211yescharacteristic, complemented
61C2×#448C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#440C2211yescharacteristic, complemented
71C2×#440C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×C8×D4C2211yescharacteristic, complemented
76C2×#418C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78#2861C2211yescharacteristic, complemented
79#2720—21no—
80#2711—21no—
81#2696—21no—
82#2679—21no—
83#2679—21no—
84#2673—21no—
85#2662—21no—
86#2610—21no—
87#2603—21no—
88#2562C2211yescharacteristic, complemented
89#2540C2211yescharacteristic, complemented
90#2537—21no—
91#2537C2211yescharacteristic
92#2537C2211yescharacteristic
93#2537C2211yescharacteristic
94#2537C2211yescharacteristic
95#2417C2211yescharacteristic, complemented
96#2416C2211yescharacteristic, complemented
97#2415C2211yescharacteristic, complemented
98#2414C2211yescharacteristic, complemented
99#2409C2211yescharacteristic, complemented
100#2409C2211yescharacteristic, complemented
101#2408—21no—
102#2408—21no—
103#2408—21no—
104#2408—21no—
105#2408C2211yescharacteristic
106#2408C2211yescharacteristic
107#2408C2211yescharacteristic
108#2408C2211yescharacteristic
109#2407C2211yescharacteristic, complemented
110#2407C2211yescharacteristic, complemented
111#2324—21no—
112C4×#127C2211yescharacteristic
113C4×#127C2211yescharacteristic
114C4×#127C2211yescharacteristic
115#2295C2211yescharacteristic, complemented
116#2095C2211yescharacteristic, complemented
117#2094C2211yescharacteristic, complemented
118#2083C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2072C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2041C2211yescharacteristic
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2014C2211yescharacteristic
144#2014C2211yescharacteristic
145#2011C2211yescharacteristic
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1992C2211yescharacteristic, complemented
157#1982C2211yescharacteristic
158#1970C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1968C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1955C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1954C2211yescharacteristic, complemented
169#1948C2211yescharacteristic, complemented
170#1934C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1852C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1807C2211yescharacteristic, complemented
194#1803C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1787C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1767C2211yescharacteristic, complemented
202C4×C4⋊C8C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C22×SD16—24no—
219C22×SD16—42no—
220C22×SD16—42no—
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237#552—24no—
238#552—42no—
239#548—24no—
240#548—42no—
241D42—24no—
242D42—24no—
243D42—42no—
244D42—42no—
245D42—42no—
246D42—42no—
247D42—42no—
248D42—42no—
249D42—48no—
250C2×#127D411yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#127C2311yescharacteristic
253C2×#126—21no—
254C2×#125—21no—
255C2×#125C2311yescharacteristic
256C2×#124—21no—
257C2×#124C2311yescharacteristic
258C2×#123—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×C4×Q8C2311yescharacteristic
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×#117—21no—
315C2×#117C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317#496—24no—
318#490—24no—
319#482—24no—
320#480—24no—
321#478—24no—
322#478—42no—
323#469—42no—
324#468—24no—
325#468—24no—
326#466—24no—
327#465—24no—
328#465—42no—
329#463—24no—
330#463—42no—
331#460D418yescomplemented
332#450—24no—
333#450—24no—
334#450—24no—
335#450—42no—
336#450—42no—
337#449—24no—
338#449—42no—
339#448—24no—
340#448—42no—
341#447—24no—
342#447—42no—
343#447—42no—
344#440—24no—
345#440—24no—
346#436—42no—
347#435—24no—
348#435—24no—
349C8×D4—42no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#107C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362#418—24no—
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#102—24no—
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×C4×C8C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412#400—21no—
413#399—21no—
414#398—21no—
415#397—21no—
416#396—21no—
417#396—21no—
418#395—21no—
419#395—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#393—21no—
439#393—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#390—21no—
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390D411yescharacteristic
460#390D411yescharacteristic
461#390D411yescharacteristic
462#390D411yescharacteristic
463#390D411yescharacteristic
464#390D411yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#389—21no—
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#387—21no—
483#387—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#384D411yescharacteristic
495#384C2311yescharacteristic
496#384C2311yescharacteristic
497#380—21no—
498#380—21no—
499#380—21no—
500#380—21no—
501#380—21no—
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514C4×C4⋊C4—21no—
515C4×C4⋊C4C2311yescharacteristic
516#376—21no—
517C43C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25—21no—
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C22×Q8—21no—
545C22×Q8—22no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8C2411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4—44no—
604C22×D4—44no—
605C22×D4—82no—
606C22×D4—82no—
607C22×D4—82no—
608C22×D4—82no—
609C22×D4C2×D411yescharacteristic
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631AGL(1,ℤ/8)—416no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—416no—
655C2×SD16C2×D414yescomplemented
656C2×SD16C2×D414yescomplemented
657C2×D8—22no—
658C2×D8—22no—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×M16—22no—
670C2×M16—22no—
671C2×M16—22no—
672C2×M16—41no—
673C2×M16—41no—
674C2×M16—41no—
675C22×C8—22no—
676C22×C8—22no—
677C22×C8—22no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689#127—24no—
690#127—22no—
691#127—22no—
692#127—22no—
693#127C2×D414yes—
694#126—44no—
695#125—22no—
696#125—22no—
697#125—44no—
698#124—22no—
699#124—22no—
700#124—44no—
701#123—44no—
702C22⋊Q8—22no—
703C22⋊Q8—22no—
704C22⋊Q8—22no—
705C22⋊Q8—44no—
706C22⋊Q8—41no—
707C22⋊Q8—41no—
708C22⋊Q8—41no—
709C22⋊Q8—41no—
710C22⋊Q8—41no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713#121—22no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—44no—
732#121—44no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—44no—
737#121—44no—
738#121—44no—
739#121—44no—
740#121—44no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#120—44no—
746#120—44no—
747#120—44no—
748#120—44no—
749#120—44no—
750#120—44no—
751#120—44no—
752#120—44no—
753#120—44no—
754#120—44no—
755#120—44no—
756#120—44no—
757C4×Q8—22no—
758C4×Q8C2×D414yescomplemented
759C4×D4—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—44no—
768C4×D4—41no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—41no—
774C4×D4—41no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—44no—
781C4×D4—44no—
782C4×D4—82no—
783C4×D4—82no—
784#117—22no—
785#117—44no—
786#117—41no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—22no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—41no—
804C2×C4⋊C4C2×D411yescharacteristic
805C2×C4⋊C4C2×D411yescharacteristic
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2×D411yescharacteristic
809C2×C4⋊C4C2×D411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C42—21no—
875C2×C42—21no—
876C2×C42—21no—
877C2×C42C2×D411yescharacteristic
878C2×C42C2×D411yescharacteristic
879C2×C42C2×D411yescharacteristic
880C2×C42C2×D411yescharacteristic
881C2×C42C2411yescharacteristic
882C2×C42C2411yescharacteristic
883C2×C42C2411yescharacteristic
884#107—22no—
885#107—22no—
886#107—22no—
887#107—41no—
888#106—22no—
889#106—41no—
890#106—41no—
891#106—41no—
892C4⋊C8—22no—
893C4⋊C8—22no—
894C4⋊C8—41no—
895C4⋊C8C2×D414yescomplemented
896#103—22no—
897#103—22no—
898#103—22no—
899#103—41no—
900#103—41no—
901#103—41no—
902#103—41no—
903#103—41no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102C2×D414yescomplemented
927#102C2×D414yescomplemented
928C22⋊C8—22no—
929C22⋊C8—22no—
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—22no—
933C22⋊C8—22no—
934C22⋊C8—41no—
935C22⋊C8—41no—
936C22⋊C8—41no—
937C22⋊C8—41no—
938C22⋊C8—41no—
939C22⋊C8—41no—
940#97—22no—
941#97—22no—
942C4×C8—41no—
943C4×C8—41no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24C22×D411yescharacteristic
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000#41—44no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—42no—
1016C2×Q8—44no—
1017C2×Q8—81no—
1018C2×Q8—81no—
1019C2×Q8—82no—
1020C2×Q8—82no—
1021C2×Q8—82no—
1022C2×Q8C22×D412yes—
1023C2×D4—24no—
1024C2×D4—22no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—24no—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—24no—
1032C2×D4—24no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—22no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—816no—
1143C2×D4—816no—
1144C2×D4—816no—
1145C2×D4—816no—
1146C2×D4AGL(1,ℤ/8)14yescomplemented
1147C2×D4C22×D412yes—
1148C2×D4C22×D412yes—
1149C2×D4H(5,𝔽2)12yes—
1150C2×D4H(5,𝔽2)12yes—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4C22×D411yescharacteristic
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C2511yescharacteristic
1218SD16—28no—
1219SD16—44no—
1220SD16—44no—
1221SD16—44no—
1222SD16—44no—
1223SD16—44no—
1224SD16—82no—
1225SD16—82no—
1226D8—44no—
1227D8—44no—
1228D8—82no—
1229D8—82no—
1230M16—44no—
1231M16—82no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—44no—
1254C2×C8—82no—
1255C2×C8C22×D412yes—
1256C2×C8C22×D412yes—
1257C2×C8H(5,𝔽2)12yes—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—81no—
1292C4⋊C4—81no—
1293C4⋊C4—81no—
1294C4⋊C4—81no—
1295C4⋊C4—81no—
1296C4⋊C4C22×D412yes—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—41no—
1360C42—41no—
1361C42—42no—
1362C42—81no—
1363C42C22×D412yes—
1364C42H(5,𝔽2)12yes—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23C2×AGL(1,ℤ/8)12yes—
1455C23C2×AGL(1,ℤ/8)12yes—
1456C23C23×D411yescharacteristic
1457Q8—22no—
1458Q8—22no—
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—84no—
1466D4—22no—
1467D4—22no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—22no—
1473D4—22no—
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—82no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—162no—
1511D4—162no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4D4212yes—
1595C2×C4D4212yes—
1596C2×C4C2×AGL(1,ℤ/8)12yes—
1597C2×C4#57712yes—
1598C2×C4C23×D411yescharacteristic
1599C2×C4C2×H(5,𝔽2)11yescharacteristic
1600C2×C4C2×H(5,𝔽2)11yescharacteristic
1601C2×C4C2×H(5,𝔽2)11yescharacteristic
1602C2×C4C2×H(5,𝔽2)11yescharacteristic
1603C2×C4#58511yescharacteristic
1604C8—22no—
1605C8—22no—
1606C8—22no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—168no—
1676C22—168no—
1677C22—168no—
1678C22—168no—
1679C22C2×D4211yescharacteristic
1680C22#348411yescharacteristic
1681C22#349611yescharacteristic
1682C22C22×AGL(1,ℤ/8)11yescharacteristic
1683C22C2×#57711yescharacteristic
1684C22#358411yescharacteristic
1685C22#358511yescharacteristic
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—81no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4#348411yescharacteristic
1708C4#348811yescharacteristic
1709C4#354311yescharacteristic
1710C4#355811yescharacteristic
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—81no—
1715C2—82no—
1716C2—82no—
1717C2—82no—
1718C2—82no—
1719C2—161no—
1720C2#4487711yescharacteristic
1721C2D4×AGL(1,ℤ/8)11yescharacteristic
1722C2#6108511yescharacteristic
1723C2#6160011yescharacteristic
1724C2#6167811yescharacteristic
1725C2#6225311yescharacteristic
1726C2#6234611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#127 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3310C2semidirect
2. C2×#3265C2semidirect
3. #59816C2semidirect
4. #39950C2semidirect
5. #31058C2semidirect
6. #31057C2semidirect
7. #31028C2semidirect
8. #31016C2semidirect
9. #30573C2semidirect
10. #30566C2semidirect
11. #30415C2semidirect
12. #30401C2semidirect
13. #28618C2semidirect
14. #28375C2semidirect
15. #25891C2semidirect
16. #25763C2semidirect
17. #25401C2semidirect
18. #25355C2semidirect
19. #25136C2semidirect
20. #25108C2semidirect
21. #24440C2semidirect
22. #24432C2semidirect
23. #24277C2semidirect
24. #24264C2semidirect
25. #24256C2semidirect
26. #24137C2semidirect
27. #23860C2semidirect
28. #23849C2semidirect
29. #23684C2semidirect
30. #23174C2semidirect
31. #22147C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C23×SD16C22semidirect
34. C2×#552C22semidirect
35. C2×#548C22semidirect
45. C2×#482C22semidirect
46. C2×#480C22semidirect
47. C2×#478C22semidirect
48. C2×#478C22semidirect
49. C2×#469C22semidirect
50. C2×#468C22semidirect
51. C2×#468C22semidirect
52. C2×#466C22semidirect
53. C2×#465C22semidirect
54. C2×#465C22semidirect
56. C2×#463C22semidirect
57. C2×#463C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#448C22semidirect
61. C2×#448C22semidirect
62. C2×#450C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#440C22semidirect
71. C2×#440C22semidirect
72. C2×#436C22semidirect
73. C2×#435C22semidirect
74. C2×#435C22semidirect
75. C2×C8×D4C22semidirect
76. C2×#418C22semidirect
77. C22×#102C22semidirect
78. #2861C22semidirect
88. #2562C22semidirect
89. #2540C22semidirect
95. #2417C22semidirect
96. #2416C22semidirect
97. #2415C22semidirect
98. #2414C22semidirect
99. #2409C22semidirect
100. #2409C22semidirect
109. #2407C22semidirect
110. #2407C22semidirect
115. #2295C22semidirect
116. #2095C22semidirect
117. #2094C22semidirect
118. #2083C22semidirect
119. #2077C22semidirect
120. #2075C22semidirect
121. #2072C22semidirect
122. #2067C22semidirect
123. #2067C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1992C22semidirect
158. #1970C22semidirect
159. #1970C22semidirect
160. #1968C22semidirect
161. #1968C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1959C22semidirect
165. #1955C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1954C22semidirect
169. #1948C22semidirect
170. #1934C22semidirect
171. #1934C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1893C22semidirect
175. #1893C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1877C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1875C22semidirect
183. #1874C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1869C22semidirect
188. #1864C22semidirect
189. #1864C22semidirect
190. #1854C22semidirect
191. #1852C22semidirect
192. #1809C22semidirect
193. #1807C22semidirect
194. #1803C22semidirect
195. #1788C22semidirect
196. #1787C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1767C22semidirect
202. C4×C4⋊C8C22semidirect
203. #1762C22semidirect
204. #1762C22semidirect
331. #460D4semidirect
655. C2×SD16C2×D4semidirect
656. C2×SD16C2×D4semidirect
758. C4×Q8C2×D4semidirect
895. C4⋊C8C2×D4semidirect
926. #102C2×D4semidirect
927. #102C2×D4semidirect
1146. C2×D4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#32652
#598162
#399502
#310582
#310572
#310282
#310162
#305732
#305662
#304152
#304012
#286182
#283752
#258912
#257632
#254012
#253552
#251362
#251082
#244402
#244322
#242772
#242642
#242562
#241372
#238602
#238492
#236842
#231742
#221472