Finite Group Databasebeta

← #7145839

Subgroups — #7145839

Order 512.

2664 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3306C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#39362C211yesmaximal, characteristic, complemented
5#31064C211yesmaximal, characteristic, complemented
6#31063C211yesmaximal, characteristic, complemented
7#31033C211yesmaximal, characteristic, complemented
8#31032C211yesmaximal, characteristic, complemented
9#30575C211yesmaximal, characteristic, complemented
10#30561C211yesmaximal, characteristic, complemented
11#30412C211yesmaximal, characteristic, complemented
12#30404C211yesmaximal, characteristic, complemented
13#28621C211yesmaximal, characteristic, complemented
14#28381C211yesmaximal, characteristic, complemented
15#25898C211yesmaximal, characteristic, complemented
16#25770C211yesmaximal, characteristic, complemented
17#25396C211yesmaximal, characteristic, complemented
18#25354C211yesmaximal, characteristic, complemented
19#25124C211yesmaximal, characteristic, complemented
20#25123C211yesmaximal, characteristic, complemented
21#24451C211yesmaximal, characteristic, complemented
22#24424C211yesmaximal, characteristic, complemented
23#24275C211yesmaximal, characteristic, complemented
24#24272C211yesmaximal, characteristic, complemented
25#24248C211yesmaximal, characteristic, complemented
26#24128C211yesmaximal, characteristic, complemented
27#23869C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23682C211yesmaximal, characteristic, complemented
30#23175C211yesmaximal, characteristic, complemented
31#22155C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34C2×#550C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic, complemented
40C2×#535—21no—
41#3306—28no—
42#3264—28no—
43C2×#496C2211yescharacteristic
44C2×#489C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic, complemented
46C2×#483C2211yescharacteristic, complemented
47C2×#476C2211yescharacteristic, complemented
48C2×#476C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic
56C2×#459C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#442C2211yescharacteristic, complemented
71C2×#442C2211yescharacteristic, complemented
72C2×#435C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#435C2211yescharacteristic, complemented
76C2×#417C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78#2858C2211yescharacteristic, complemented
79#2678—21no—
80#2678—21no—
81#2678—21no—
82#2678—21no—
83#2678—21no—
84#2678—21no—
85#2620—21no—
86#2547C2211yescharacteristic, complemented
87#2541C2211yescharacteristic, complemented
88#2538C2211yescharacteristic, complemented
89#2537C2211yescharacteristic, complemented
90#2535C2211yescharacteristic
91#2535C2211yescharacteristic, complemented
92#2435—21no—
93#2433—21no—
94#2431—21no—
95#2428—21no—
96#2424—21no—
97#2424—21no—
98#2422—21no—
99#2416C2211yescharacteristic
100#2416C2211yescharacteristic, complemented
101#2416C2211yescharacteristic, complemented
102#2416C2211yescharacteristic, complemented
103#2408C2211yescharacteristic
104#2408C2211yescharacteristic, complemented
105#2408C2211yescharacteristic, complemented
106#2408C2211yescharacteristic, complemented
107#2408C2211yescharacteristic, complemented
108#2408C2211yescharacteristic, complemented
109#2407C2211yescharacteristic, complemented
110#2407C2211yescharacteristic, complemented
111D4×C22⋊C4—21no—
112C4×#127C2211yescharacteristic
113C4×#127C2211yescharacteristic, complemented
114C4×#124C2211yescharacteristic, complemented
115#2293C2211yescharacteristic, complemented
116#2094C2211yescharacteristic, complemented
117#2094C2211yescharacteristic, complemented
118#2084C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2034C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1993C2211yescharacteristic, complemented
157#1983C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1972C2211yescharacteristic
160#1972C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1972C2211yescharacteristic, complemented
164#1961C2211yescharacteristic, complemented
165#1955C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1955C2211yescharacteristic, complemented
168#1955C2211yescharacteristic, complemented
169#1949C2211yescharacteristic, complemented
170#1936C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1853C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1807C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1767C2211yescharacteristic, complemented
202#1767C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8—24no—
221C22×D8—42no—
222C22×D8—42no—
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#550—42no—
237#550—42no—
238#547—24no—
239#547—42no—
240#546—24no—
241#546—24no—
242#546—42no—
243#546—42no—
244D42—24no—
245D42—42no—
246D42—42no—
247D42—42no—
248#535—48no—
249C2×C4⋊Q8C2311yescharacteristic
250C2×#127—21no—
251C2×#127—21no—
252C2×#127D411yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#124—21no—
256C2×#124—21no—
257C2×#124—21no—
258C2×#124C2311yescharacteristic
259C2×#123—21no—
260C2×#123—21no—
261C2×#123—21no—
262C2×#123—21no—
263C2×C22⋊Q8—21no—
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
276C2×#121—21no—
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×C4×Q8C2311yescharacteristic
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×#117—21no—
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C22⋊C4—21no—
321C22×C22⋊C4—21no—
322#496—24no—
323#489—24no—
324#483—24no—
325#481—24no—
326#476—24no—
327#476—42no—
328#469—24no—
329#469—24no—
330#469—42no—
331#466—42no—
332#465—24no—
333#465—24no—
334#463D418yescomplemented
335#459—24no—
336#459—42no—
337#450—24no—
338#449—24no—
339#449—24no—
340#449—42no—
341#449—42no—
342#447—24no—
343#447—24no—
344#447—24no—
345#447—42no—
346#447—42no—
347#447—42no—
348#447—42no—
349#442—24no—
350#442—24no—
351#435—24no—
352#435—24no—
353#435—42no—
354#435—42no—
355C2×#107C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×C4⋊C8C2311yescharacteristic
366C2×C4⋊C8C2311yescharacteristic
367#417—24no—
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#102—24no—
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×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×#97C2311yescharacteristic
414C2×#97C2311yescharacteristic
415C2×#97C2311yescharacteristic
416C2×#97C2311yescharacteristic
417#397—21no—
418#397—21no—
419#397—21no—
420#397—21no—
421#396—21no—
422#396—21no—
423#396—21no—
424#396—21no—
425#396—21no—
426#396—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#394—21no—
439#394—21no—
440#394—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#391—21no—
454#391C2311yescharacteristic
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390D411yescharacteristic
462#390D411yescharacteristic
463#390D411yescharacteristic
464#390D411yescharacteristic
465#390D411yescharacteristic
466#390D411yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#389—21no—
477#389C2311yescharacteristic
478#389C2311yescharacteristic
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#385—21no—
494#385—21no—
495#384D411yescharacteristic
496#384C2311yescharacteristic
497#382C2311yescharacteristic
498#380—21no—
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#379—21no—
508#379—21no—
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513C4×C4⋊C4C2311yescharacteristic
514C4×C22⋊C4—21no—
515C4×C22⋊C4—21no—
516C4×C22⋊C4—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—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—44no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—44no—
552C2×#41—82no—
553C22×Q8—21no—
554C22×Q8C2411yescharacteristic
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—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
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—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—44no—
604C22×D4—44no—
605C22×D4—44no—
606C22×D4—44no—
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
620C22×D4C2411yescharacteristic
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633AGL(1,ℤ/8)—416no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16C2×D414yescomplemented
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—416no—
670C2×D8C2×D414yes—
671C2×M16—22no—
672C2×M16—22no—
673C2×M16—22no—
674C2×M16—41no—
675C2×M16—41no—
676C2×M16—41no—
677C22×C8—22no—
678C22×C8—22no—
679C22×C8—22no—
680C22×C8—41no—
681C22×C8—41no—
682C22×C8—41no—
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C4⋊Q8—22no—
692C4⋊Q8—22no—
693#127—24no—
694#127—22no—
695#127—22no—
696#127—22no—
697#127—22no—
698#127—44no—
699#127—44no—
700#124—22no—
701#124—44no—
702#124—44no—
703#124—82no—
704#124C2×D414yes—
705#123—44no—
706#123—44no—
707#123—44no—
708#123—44no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—44no—
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—22no—
723#121—22no—
724#121—44no—
725#121—44no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—44no—
737#121—44no—
738#121—44no—
739#121—44no—
740#121—44no—
741#121—44no—
742#121—44no—
743#121—44no—
744#121—41no—
745#121—41no—
746#121—41no—
747#121—41no—
748#121—41no—
749#121—41no—
750#121—41no—
751#121—41no—
752#121—82no—
753#120—44no—
754#120—44no—
755#120—44no—
756#120—44no—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—44no—
763#120—82no—
764#120—82no—
765C4×Q8—41no—
766C4×Q8—41no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—22no—
773C4×D4—22no—
774C4×D4—22no—
775C4×D4—22no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—41no—
784C4×D4—41no—
785C4×D4—41no—
786C4×D4—44no—
787C4×D4—82no—
788C4×D4—82no—
789C4×D4C2×D414yescomplemented
790#117—44no—
791C2×C4⋊C4—22no—
792C2×C4⋊C4—22no—
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⋊C4—41no—
805C2×C4⋊C4C2×D411yescharacteristic
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2×D411yescharacteristic
809C2×C4⋊C4C2×D411yescharacteristic
810C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—44no—
869C2×C22⋊C4—44no—
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C42—21no—
883C2×C42—21no—
884C2×C42C2×D411yescharacteristic
885C2×C42C2×D411yescharacteristic
886C2×C42C2×D411yescharacteristic
887C2×C42C2×D411yescharacteristic
888C2×C42C2411yescharacteristic
889C2×C42C2411yescharacteristic
890C2×C42C2411yescharacteristic
891#107—41no—
892#106—22no—
893#106—22no—
894#106—22no—
895#106—22no—
896#106—41no—
897#106—41no—
898#106—41no—
899C4⋊C8—22no—
900C4⋊C8—22no—
901C4⋊C8—41no—
902C4⋊C8C2×D414yescomplemented
903#103—22no—
904#103—22no—
905#103—41no—
906#103—41no—
907#103C2×D414yescomplemented
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—22no—
917#102—22no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102C2×D414yes—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—41no—
942C22⋊C8—41no—
943C22⋊C8—41no—
944C22⋊C8—41no—
945C22⋊C8—41no—
946C22⋊C8—41no—
947#97—22no—
948#97—22no—
949#97—41no—
950#97—41no—
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—
963#95—21no—
964#95—21no—
965#95—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
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—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24C22×D411yescharacteristic
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003C24C22×D411yescharacteristic
1004#41—44no—
1005#41—44no—
1006#41—82no—
1007#41—82no—
1008#41—82no—
1009#41—82no—
1010#41—82no—
1011#41—82no—
1012#41—816no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—42no—
1019C2×Q8—42no—
1020C2×Q8—42no—
1021C2×Q8C22×D412yes—
1022C2×D4—24no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—24no—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—22no—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
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—21no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—42no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—41no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
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—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
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—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—816no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—816no—
1161C2×D4AGL(1,ℤ/8)14yescomplemented
1162C2×D4C22×D412yes—
1163C2×D4C22×D412yes—
1164C2×D4H(5,𝔽2)12yes—
1165C2×D4H(5,𝔽2)12yes—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—24no—
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—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C2511yescharacteristic
1235SD16—44no—
1236SD16—44no—
1237SD16—82no—
1238D8—28no—
1239D8—44no—
1240D8—44no—
1241D8—44no—
1242D8—44no—
1243D8—44no—
1244D8—82no—
1245D8—82no—
1246D8—82no—
1247M16—44no—
1248M16—82no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—44no—
1271C2×C8—82no—
1272C2×C8C22×D412yes—
1273C2×C8C22×D412yes—
1274C2×C8H(5,𝔽2)12yes—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—81no—
1308C4⋊C4C22×D412yes—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
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—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C42—22no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—42no—
1378C42—42no—
1379C42C22×D412yes—
1380C42H(5,𝔽2)12yes—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—22no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
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—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23C2×AGL(1,ℤ/8)12yes—
1478C23C2×AGL(1,ℤ/8)12yes—
1479C23C23×D411yescharacteristic
1480Q8—22no—
1481Q8—22no—
1482Q8—41no—
1483Q8—41no—
1484Q8—84no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—44no—
1494D4—44no—
1495D4—44no—
1496D4—48no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—82no—
1514D4—84no—
1515D4—82no—
1516D4—82no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—48no—
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—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—162no—
1619C2×C4—162no—
1620C2×C4D4212yes—
1621C2×C4D4212yes—
1622C2×C4C2×AGL(1,ℤ/8)12yes—
1623C2×C4C23×D411yescharacteristic
1624C2×C4C2×H(5,𝔽2)11yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4#58511yescharacteristic
1629C8—22no—
1630C8—22no—
1631C8—22no—
1632C8—41no—
1633C8—41no—
1634C8—41no—
1635C8—41no—
1636C8—41no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—41no—
1676C22—41no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—168no—
1708C22—168no—
1709C22—168no—
1710C22—168no—
1711C22C2×D4211yescharacteristic
1712C22#348411yescharacteristic
1713C22#349611yescharacteristic
1714C22C22×AGL(1,ℤ/8)11yescharacteristic
1715C22#358511yescharacteristic
1716C22#358511yescharacteristic
1717C22#358511yescharacteristic
1718C4—22no—
1719C4—22no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4#348411yescharacteristic
1739C4#348811yescharacteristic
1740C4#354311yescharacteristic
1741C4#355811yescharacteristic
1742C2—42no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—82no—
1747C2—82no—
1748C2—82no—
1749C2—82no—
1750C2—161no—
1751C2—161no—
1752C2#4487711yescharacteristic
1753C2D4×AGL(1,ℤ/8)11yescharacteristic
1754C2#6108211yescharacteristic
1755C2#6156911yescharacteristic
1756C2#6166911yescharacteristic
1757C2#6229911yescharacteristic
1758C2#6233411yescharacteristic
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×#3306C2semidirect
2. C2×#3264C2semidirect
3. #59412C2semidirect
4. #39362C2semidirect
5. #31064C2semidirect
6. #31063C2semidirect
7. #31033C2semidirect
8. #31032C2semidirect
9. #30575C2semidirect
10. #30561C2semidirect
11. #30412C2semidirect
12. #30404C2semidirect
13. #28621C2semidirect
14. #28381C2semidirect
15. #25898C2semidirect
16. #25770C2semidirect
17. #25396C2semidirect
18. #25354C2semidirect
19. #25124C2semidirect
20. #25123C2semidirect
21. #24451C2semidirect
22. #24424C2semidirect
23. #24275C2semidirect
24. #24272C2semidirect
25. #24248C2semidirect
26. #24128C2semidirect
27. #23869C2semidirect
28. #23848C2semidirect
29. #23682C2semidirect
30. #23175C2semidirect
31. #22155C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
34. C2×#550C22semidirect
35. C2×#547C22semidirect
37. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
44. C2×#489C22semidirect
45. C2×#481C22semidirect
46. C2×#483C22semidirect
47. C2×#476C22semidirect
48. C2×#476C22semidirect
51. C2×#469C22semidirect
52. C2×#466C22semidirect
53. C2×#465C22semidirect
54. C2×#465C22semidirect
56. C2×#459C22semidirect
57. C2×#459C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#450C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#442C22semidirect
71. C2×#442C22semidirect
72. C2×#435C22semidirect
73. C2×#435C22semidirect
74. C2×#435C22semidirect
75. C2×#435C22semidirect
76. C2×#417C22semidirect
77. C22×#102C22semidirect
78. #2858C22semidirect
86. #2547C22semidirect
87. #2541C22semidirect
88. #2538C22semidirect
89. #2537C22semidirect
91. #2535C22semidirect
100. #2416C22semidirect
101. #2416C22semidirect
102. #2416C22semidirect
104. #2408C22semidirect
105. #2408C22semidirect
106. #2408C22semidirect
107. #2408C22semidirect
108. #2408C22semidirect
109. #2407C22semidirect
110. #2407C22semidirect
113. C4×#127C22semidirect
114. C4×#124C22semidirect
115. #2293C22semidirect
116. #2094C22semidirect
117. #2094C22semidirect
118. #2084C22semidirect
119. #2077C22semidirect
120. #2077C22semidirect
121. #2071C22semidirect
122. #2065C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2041C22semidirect
131. #2035C22semidirect
132. #2035C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2034C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1993C22semidirect
157. #1983C22semidirect
158. #1973C22semidirect
160. #1972C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1972C22semidirect
164. #1961C22semidirect
165. #1955C22semidirect
166. #1955C22semidirect
167. #1955C22semidirect
168. #1955C22semidirect
169. #1949C22semidirect
170. #1936C22semidirect
171. #1935C22semidirect
172. #1895C22semidirect
173. #1895C22semidirect
174. #1893C22semidirect
175. #1893C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1869C22semidirect
188. #1865C22semidirect
189. #1862C22semidirect
190. #1853C22semidirect
191. #1853C22semidirect
192. #1809C22semidirect
193. #1807C22semidirect
194. #1804C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1767C22semidirect
202. #1767C22semidirect
203. #1762C22semidirect
204. #1762C22semidirect
334. #463D4semidirect
642. C2×SD16C2×D4semidirect
789. C4×D4C2×D4semidirect
902. C4⋊C8C2×D4semidirect
907. #103C2×D4semidirect
1161. 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×#33062
C2×#32642
#594122
#393622
#310642
#310632
#310332
#310322
#305752
#305612
#304122
#304042
#286212
#283812
#258982
#257702
#253962
#253542
#251242
#251232
#244512
#244242
#242752
#242722
#242482
#241282
#238692
#238482
#236822
#231752
#221552