Finite Group Databasebeta

← #6683802

Subgroups — #6683802

Order 512.

2777 conjugacy classes of subgroups.

The subgroup lattice has 1805 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#39362C211yesmaximal, characteristic, complemented
4#36260C211yesmaximal, characteristic, complemented
5#33030C211yesmaximal, characteristic, complemented
6#30729C211yesmaximal, characteristic, complemented
7#30719C211yesmaximal, characteristic, complemented
8#30711C211yesmaximal, characteristic, complemented
9#30705C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30509C211yesmaximal, characteristic, complemented
12#30501C211yesmaximal, characteristic, complemented
13#30500C211yesmaximal, characteristic, complemented
14#30268C211yesmaximal, characteristic, complemented
15#29800C211yesmaximal, characteristic, complemented
16#28610C211yesmaximal, characteristic, complemented
17#28493C211yesmaximal, characteristic, complemented
18#25898C211yesmaximal, characteristic, complemented
19#25770C211yesmaximal, characteristic, complemented
20#25763C211yesmaximal, characteristic, complemented
21#25577C211yesmaximal, characteristic, complemented
22#24454C211yesmaximal, characteristic, complemented
23#24444C211yesmaximal, characteristic, complemented
24#24434C211yesmaximal, characteristic, complemented
25#24424C211yesmaximal, characteristic, complemented
26#23864C211yesmaximal, characteristic, complemented
27#23861C211yesmaximal, characteristic, complemented
28#23851C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22266C211yesmaximal, characteristic, complemented
31#21122C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#547C2211yescharacteristic, complemented
35C2×#547C2211yescharacteristic, complemented
36C2×#546C2211yescharacteristic
37C2×#546C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C2×D42C2211yescharacteristic, complemented
41C2×D42C2211yescharacteristic, complemented
42C2×#535—21no—
43#3306—28no—
44#3264—28no—
45C2×#496C2211yescharacteristic, complemented
46C2×#496C2211yescharacteristic, complemented
47C2×#489C2211yescharacteristic, complemented
48C2×#489C2211yescharacteristic, complemented
49C2×#481C2211yescharacteristic, complemented
50C2×#483C2211yescharacteristic, complemented
51C2×#476C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#469C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic, complemented
58C2×#465C2211yescharacteristic, complemented
59C2×#465C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#459C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#447C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#447C2211yescharacteristic, complemented
76C2×#447C2211yescharacteristic, complemented
77C2×#442C2211yescharacteristic
78C2×#435C2211yescharacteristic, complemented
79C2×#435C2211yescharacteristic, complemented
80C2×#417C2211yescharacteristic, complemented
81C22×#102C2211yescharacteristic, complemented
82#2858C2211yescharacteristic, complemented
83#2858C2211yescharacteristic, complemented
84#2856—21no—
85#2678—21no—
86#2678—21no—
87#2678—21no—
88#2678—21no—
89#2620—21no—
90#2547C2211yescharacteristic, complemented
91#2542C2211yescharacteristic, complemented
92#2541C2211yescharacteristic, complemented
93#2541C2211yescharacteristic, complemented
94#2540C2211yescharacteristic
95#2540C2211yescharacteristic, complemented
96#2540C2211yescharacteristic, complemented
97#2540C2211yescharacteristic, complemented
98#2539—21no—
99#2539—21no—
100#2539—21no—
101#2539—21no—
102#2501—21no—
103#2435—21no—
104#2433—21no—
105#2431—21no—
106#2416C2211yescharacteristic
107#2416C2211yescharacteristic, complemented
108#2416C2211yescharacteristic, complemented
109#2416C2211yescharacteristic, complemented
110#2408C2211yescharacteristic
111#2408C2211yescharacteristic, complemented
112#2408C2211yescharacteristic, complemented
113#2408C2211yescharacteristic, complemented
114C4×#127C2211yescharacteristic
115#2293C2211yescharacteristic, complemented
116C2×#390—21no—
117C42×D4C2211yescharacteristic, complemented
118#2043C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2036C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2035C2211yescharacteristic, complemented
125#2035C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2013C2211yescharacteristic, complemented
131#2013C2211yescharacteristic, complemented
132#2013C2211yescharacteristic, complemented
133#2012C2211yescharacteristic, complemented
134#2012C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2011C2211yescharacteristic
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1987C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1955C2211yescharacteristic, complemented
164#1926C2211yescharacteristic, complemented
165#1926C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1926C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1925C2211yescharacteristic, complemented
170#1920C2211yescharacteristic, complemented
171#1919C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1874C2211yescharacteristic, complemented
184#1872C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1869C2211yescharacteristic, complemented
192#1869C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1864C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1831C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1745C2211yescharacteristic, 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×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8—24no—
224C22×D8—42no—
225C22×D8—42no—
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C23×C8C2311yescharacteristic
238C23×C8C2311yescharacteristic
239#547—24no—
240#547—42no—
241#547—42no—
242#547—42no—
243#546—24no—
244#546—24no—
245#546—42no—
246#546—42no—
247#546—42no—
248#546—42no—
249#546—42no—
250#546—42no—
251D42—24no—
252D42—42no—
253D42—42no—
254D42—42no—
255#535—48no—
256C2×C4⋊Q8C2311yescharacteristic
257C2×C4⋊Q8C2311yescharacteristic
258C2×#127—21no—
259C2×#127—21no—
260C2×#127D411yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#124—21no—
264C2×#124—21no—
265C2×#124—21no—
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×#123—21no—
275C2×#123—21no—
276C2×#123—21no—
277C2×#123—21no—
278C2×C22⋊Q8—21no—
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#121C2311yescharacteristic
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120—21no—
316C2×#120—21no—
317C2×#120—21no—
318C2×#120—21no—
319C2×#120—21no—
320C2×#120—21no—
321C2×#120—21no—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2311yescharacteristic
332C2×#117—21no—
333C22×C4⋊C4—21no—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C22⋊C4—21no—
337C22×C22⋊C4—21no—
338C22×C22⋊C4—21no—
339C22×C22⋊C4—21no—
340C22×C42—21no—
341#496—24no—
342#496—42no—
343#489—24no—
344#489—42no—
345#483—24no—
346#481—24no—
347#476—24no—
348#469—24no—
349#469—24no—
350#469—42no—
351#468—42no—
352#466—42no—
353#465—24no—
354#465—24no—
355#465—42no—
356#463—24no—
357#463—24no—
358#459—24no—
359#450—24no—
360#450—42no—
361#450—42no—
362#449—24no—
363#449—24no—
364#449—42no—
365#449—42no—
366#447—24no—
367#447—24no—
368#447—24no—
369#447—42no—
370#447—42no—
371#447—42no—
372#447—42no—
373#442D418yescomplemented
374#435—24no—
375#435—24no—
376C2×#107C2311yescharacteristic
377C2×#106C2311yescharacteristic
378C2×#106C2311yescharacteristic
379C2×#106C2311yescharacteristic
380C2×#106C2311yescharacteristic
381C2×C4⋊C8C2311yescharacteristic
382C2×C4⋊C8C2311yescharacteristic
383#417—24no—
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#103C2311yescharacteristic
389C2×#103C2311yescharacteristic
390C2×#103C2311yescharacteristic
391C2×#103C2311yescharacteristic
392C2×#103C2311yescharacteristic
393C2×#103C2311yescharacteristic
394C2×#102—24no—
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×C22⋊C8C2311yescharacteristic
421C2×C22⋊C8C2311yescharacteristic
422C2×C22⋊C8C2311yescharacteristic
423C2×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×C22⋊C8C2311yescharacteristic
427C2×C22⋊C8C2311yescharacteristic
428C2×C22⋊C8C2311yescharacteristic
429C2×C22⋊C8C2311yescharacteristic
430C2×C22⋊C8C2311yescharacteristic
431C2×#97C2311yescharacteristic
432C2×#97C2311yescharacteristic
433#399—21no—
434#399—21no—
435#399—21no—
436#399—21no—
437#399—21no—
438#399—21no—
439#397—21no—
440#397—21no—
441#396—21no—
442#396—21no—
443#396—21no—
444#396—21no—
445#394—21no—
446#394—21no—
447#394—21no—
448#394—21no—
449#394—21no—
450#394—21no—
451#394—21no—
452#394—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#392—21no—
465#391—21no—
466#390—21no—
467#390—21no—
468#390—21no—
469#390—21no—
470#390—21no—
471#390—21no—
472#390—21no—
473#390—21no—
474#390—21no—
475#390—21no—
476#390—21no—
477#390—21no—
478#390—21no—
479#390—21no—
480#390—21no—
481#390—21no—
482#390—21no—
483#390D411yescharacteristic
484#390D411yescharacteristic
485#390D411yescharacteristic
486#390D411yescharacteristic
487#390D411yescharacteristic
488#390D411yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#388—21no—
498#388—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#384—21no—
504#384D411yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513C4×C4⋊C4C2311yescharacteristic
514C4×C4⋊C4C2311yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4—21no—
521C43C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—44no—
557C2×#41—44no—
558C2×#41—82no—
559C22×Q8—21no—
560C22×Q8C2411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—22no—
569C22×D4—22no—
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—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
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—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—44no—
613C22×D4—44no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2×D411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C22×D4C2411yescharacteristic
627C22×D4C2411yescharacteristic
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640AGL(1,ℤ/8)—416no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
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—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—22no—
664C2×D8—22no—
665C2×D8—22no—
666C2×D8—22no—
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—416no—
686C2×D8C2×D414yes—
687C2×M16—22no—
688C2×M16—22no—
689C2×M16—41no—
690C2×M16—41no—
691C2×M16—41no—
692C2×M16—41no—
693C22×C8—22no—
694C22×C8—22no—
695C22×C8—41no—
696C22×C8—41no—
697C22×C8—41no—
698C22×C8—41no—
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C4⋊Q8—22no—
708C4⋊Q8—22no—
709C4⋊Q8—41no—
710C4⋊Q8—41no—
711#127—24no—
712#127—22no—
713#127—22no—
714#127—41no—
715#127—41no—
716#127—44no—
717#127—82no—
718#124—22no—
719#124—22no—
720#124—22no—
721#124—22no—
722#124—41no—
723#124—41no—
724#124—41no—
725#124—41no—
726#124—44no—
727#124—44no—
728#124—82no—
729#123—44no—
730#123—44no—
731#123—44no—
732#123—44no—
733#123—44no—
734#123—44no—
735#123—44no—
736#123—44no—
737C22⋊Q8—22no—
738C22⋊Q8—22no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—41no—
744C22⋊Q8—41no—
745C22⋊Q8—41no—
746C22⋊Q8—41no—
747C22⋊Q8—41no—
748C22⋊Q8—41no—
749C22⋊Q8—44no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—44no—
761#121—44no—
762#121—41no—
763#121—41no—
764#121—41no—
765#121—41no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—41no—
788#121—41no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—44no—
797#120—44no—
798#120—44no—
799#120—44no—
800#120—44no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—22no—
810C4×D4—22no—
811C4×D4—41no—
812C4×D4—41no—
813C4×D4—41no—
814C4×D4—41no—
815C4×D4—41no—
816C4×D4—41no—
817C4×D4—41no—
818C4×D4—41no—
819C4×D4C2×D414yes—
820C4×D4C2×D414yescomplemented
821#117—44no—
822C2×C4⋊C4—22no—
823C2×C4⋊C4—22no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—41no—
838C2×C4⋊C4—41no—
839C2×C4⋊C4—44no—
840C2×C4⋊C4C2×D411yescharacteristic
841C2×C4⋊C4C2×D411yescharacteristic
842C2×C4⋊C4C2×D411yescharacteristic
843C2×C4⋊C4C2×D411yescharacteristic
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2×D411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
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—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—44no—
903C2×C22⋊C4—44no—
904C2×C22⋊C4—44no—
905C2×C22⋊C4—44no—
906C2×C22⋊C4C2×D411yescharacteristic
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C22⋊C4C2×D411yescharacteristic
913C2×C22⋊C4C2×D411yescharacteristic
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C22⋊C4C2×D411yescharacteristic
916C2×C22⋊C4C2×D411yescharacteristic
917C2×C22⋊C4C2×D411yescharacteristic
918C2×C42—21no—
919C2×C42—21no—
920C2×C42—21no—
921C2×C42—21no—
922C2×C42—82no—
923C2×C42C2×D411yescharacteristic
924C2×C42C2×D411yescharacteristic
925C2×C42C2×D411yescharacteristic
926C2×C42C2×D411yescharacteristic
927C2×C42C2411yescharacteristic
928C2×C42C2411yescharacteristic
929C2×C42C2411yescharacteristic
930#107—22no—
931#106—22no—
932#106—22no—
933#106—22no—
934#106C2×D414yescomplemented
935C4⋊C8—22no—
936C4⋊C8—22no—
937#103—22no—
938#103—22no—
939#103—22no—
940#103—22no—
941#103—41no—
942#103—41no—
943#103—41no—
944#103—41no—
945#103—41no—
946#103—41no—
947#102—22no—
948#102—22no—
949#102—22no—
950#102—22no—
951#102—22no—
952#102—22no—
953#102—22no—
954#102—22no—
955#102—22no—
956#102—22no—
957#102—22no—
958#102—22no—
959#102—22no—
960#102—22no—
961#102—22no—
962#102—22no—
963#102—41no—
964#102—41no—
965#102—41no—
966#102—41no—
967#102—41no—
968#102—41no—
969#102C2×D414yes—
970#102C2×D414yescomplemented
971C22⋊C8—22no—
972C22⋊C8—22no—
973C22⋊C8—22no—
974C22⋊C8—22no—
975C22⋊C8—41no—
976C22⋊C8—41no—
977C22⋊C8—41no—
978C22⋊C8—41no—
979C22⋊C8—41no—
980C22⋊C8—41no—
981C22⋊C8—41no—
982C22⋊C8—41no—
983#97—22no—
984#97C2×D414yescomplemented
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95—21no—
994#95—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—81no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24C22×D411yescharacteristic
1030C24C22×D411yescharacteristic
1031C24C22×D411yescharacteristic
1032C24C22×D411yescharacteristic
1033#41—44no—
1034#41—44no—
1035#41—82no—
1036#41—82no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040#41—82no—
1041#41—816no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—42no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×D4—22no—
1058C2×D4—22no—
1059C2×D4—22no—
1060C2×D4—22no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
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—82no—
1161C2×D4—82no—
1162C2×D4—82no—
1163C2×D4—82no—
1164C2×D4—82no—
1165C2×D4—82no—
1166C2×D4—82no—
1167C2×D4—82no—
1168C2×D4—82no—
1169C2×D4—82no—
1170C2×D4—82no—
1171C2×D4—82no—
1172C2×D4—816no—
1173C2×D4—816no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4AGL(1,ℤ/8)14yescomplemented
1197C2×D4C22×D412yes—
1198C2×D4C22×D412yes—
1199C2×D4H(5,𝔽2)12yes—
1200C2×D4H(5,𝔽2)12yes—
1201C22×C4—24no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—24no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C2511yescharacteristic
1270SD16—44no—
1271SD16—44no—
1272SD16—82no—
1273SD16—82no—
1274SD16—82no—
1275SD16—82no—
1276D8—28no—
1277D8—44no—
1278D8—44no—
1279D8—44no—
1280D8—44no—
1281D8—82no—
1282D8—82no—
1283D8—82no—
1284D8—82no—
1285M16—44no—
1286M16—82no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—44no—
1310C2×C8—82no—
1311C2×C8C22×D412yes—
1312C2×C8C22×D412yes—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4C22×D412yes—
1345C4⋊C4C22×D412yes—
1346C4⋊C4H(5,𝔽2)12yes—
1347C4⋊C4H(5,𝔽2)12yes—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C42—22no—
1409C42—21no—
1410C42—21no—
1411C42—21no—
1412C42—21no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—42no—
1417C42—42no—
1418C42—81no—
1419C42—81no—
1420C42C22×D412yes—
1421C42H(5,𝔽2)12yes—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—84no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—162no—
1503C23—162no—
1504C23—162no—
1505C23—162no—
1506C23—162no—
1507C23—162no—
1508C23—162no—
1509C23—162no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23—162no—
1517C23—162no—
1518C23C2×AGL(1,ℤ/8)12yes—
1519C23C2×AGL(1,ℤ/8)12yes—
1520C23C23×D411yescharacteristic
1521Q8—41no—
1522Q8—41no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—84no—
1530D4—22no—
1531D4—22no—
1532D4—22no—
1533D4—22no—
1534D4—22no—
1535D4—44no—
1536D4—44no—
1537D4—44no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—82no—
1557D4—84no—
1558D4—84no—
1559D4—82no—
1560D4—82no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—84no—
1570D4—84no—
1571D4—84no—
1572D4—84no—
1573D4—162no—
1574D4—162no—
1575D4—162no—
1576D4—162no—
1577D4—162no—
1578D4—162no—
1579D4—162no—
1580D4—162no—
1581D4—162no—
1582D4—162no—
1583D4#53514yescomplemented
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—48no—
1616C2×C4—48no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4D4212yes—
1666C2×C4D4212yes—
1667C2×C4C2×AGL(1,ℤ/8)12yes—
1668C2×C4C23×D411yescharacteristic
1669C2×C4C2×H(5,𝔽2)11yescharacteristic
1670C2×C4C2×H(5,𝔽2)11yescharacteristic
1671C2×C4C2×H(5,𝔽2)11yescharacteristic
1672C2×C4C2×H(5,𝔽2)11yescharacteristic
1673C2×C4C2×H(5,𝔽2)11yescharacteristic
1674C8—22no—
1675C8—22no—
1676C8—41no—
1677C8—41no—
1678C8—41no—
1679C8—41no—
1680C8—41no—
1681C8—41no—
1682C22—24no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—41no—
1690C22—41no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—42no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—168no—
1753C22—168no—
1754C22—168no—
1755C22—168no—
1756C22C2×D4211yescharacteristic
1757C22#348411yescharacteristic
1758C22#348411yescharacteristic
1759C22C22×AGL(1,ℤ/8)11yescharacteristic
1760C22#358411yescharacteristic
1761C22#358511yescharacteristic
1762C22#358511yescharacteristic
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—41no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4—41no—
1777C4—81no—
1778C4—81no—
1779C4—81no—
1780C4—81no—
1781C4—81no—
1782C4—81no—
1783C4C2×#53511yescharacteristic
1784C4#349811yescharacteristic
1785C4#354311yescharacteristic
1786C4#354311yescharacteristic
1787C2—42no—
1788C2—42no—
1789C2—44no—
1790C2—81no—
1791C2—81no—
1792C2—82no—
1793C2—161no—
1794C2—161no—
1795C2—161no—
1796C2—161no—
1797C2#3767411yescharacteristic
1798C2D4×AGL(1,ℤ/8)11yescharacteristic
1799C2#6109211yescharacteristic
1800C2#6156911yescharacteristic
1801C2#6159811yescharacteristic
1802C2#6166911yescharacteristic
1803C2#6169011yescharacteristic
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. #39362C2semidirect
4. #36260C2semidirect
5. #33030C2semidirect
6. #30729C2semidirect
7. #30719C2semidirect
8. #30711C2semidirect
9. #30705C2semidirect
10. #30511C2semidirect
11. #30509C2semidirect
12. #30501C2semidirect
13. #30500C2semidirect
14. #30268C2semidirect
15. #29800C2semidirect
16. #28610C2semidirect
17. #28493C2semidirect
18. #25898C2semidirect
19. #25770C2semidirect
20. #25763C2semidirect
21. #25577C2semidirect
22. #24454C2semidirect
23. #24444C2semidirect
24. #24434C2semidirect
25. #24424C2semidirect
26. #23864C2semidirect
27. #23861C2semidirect
28. #23851C2semidirect
29. #23848C2semidirect
30. #22266C2semidirect
31. #21122C2semidirect
34. C2×#547C22semidirect
35. C2×#547C22semidirect
37. C2×#546C22semidirect
38. C2×#546C22semidirect
39. C2×#546C22semidirect
40. C2×D42C22semidirect
41. C2×D42C22semidirect
45. C2×#496C22semidirect
46. C2×#496C22semidirect
47. C2×#489C22semidirect
48. C2×#489C22semidirect
49. C2×#481C22semidirect
50. C2×#483C22semidirect
51. C2×#476C22semidirect
52. C2×#469C22semidirect
53. C2×#469C22semidirect
54. C2×#469C22semidirect
55. C2×#468C22semidirect
56. C2×#466C22semidirect
57. C2×#465C22semidirect
58. C2×#465C22semidirect
59. C2×#465C22semidirect
60. C2×#463C22semidirect
61. C2×#463C22semidirect
65. C2×#449C22semidirect
66. C2×#449C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
73. C2×#447C22semidirect
74. C2×#447C22semidirect
75. C2×#447C22semidirect
76. C2×#447C22semidirect
78. C2×#435C22semidirect
79. C2×#435C22semidirect
80. C2×#417C22semidirect
81. C22×#102C22semidirect
82. #2858C22semidirect
83. #2858C22semidirect
90. #2547C22semidirect
91. #2542C22semidirect
92. #2541C22semidirect
93. #2541C22semidirect
95. #2540C22semidirect
96. #2540C22semidirect
97. #2540C22semidirect
107. #2416C22semidirect
108. #2416C22semidirect
109. #2416C22semidirect
111. #2408C22semidirect
112. #2408C22semidirect
113. #2408C22semidirect
115. #2293C22semidirect
117. C42×D4C22semidirect
118. #2043C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2041C22semidirect
122. #2036C22semidirect
123. #2035C22semidirect
124. #2035C22semidirect
125. #2035C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2013C22semidirect
131. #2013C22semidirect
132. #2013C22semidirect
133. #2012C22semidirect
134. #2012C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1987C22semidirect
159. #1983C22semidirect
160. #1983C22semidirect
161. #1982C22semidirect
162. #1955C22semidirect
163. #1955C22semidirect
164. #1926C22semidirect
165. #1926C22semidirect
166. #1926C22semidirect
167. #1926C22semidirect
168. #1926C22semidirect
169. #1925C22semidirect
170. #1920C22semidirect
171. #1919C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1874C22semidirect
183. #1874C22semidirect
184. #1872C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1869C22semidirect
191. #1869C22semidirect
192. #1869C22semidirect
193. #1869C22semidirect
194. #1864C22semidirect
195. #1862C22semidirect
196. #1831C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1776C22semidirect
202. #1762C22semidirect
203. #1762C22semidirect
204. #1745C22semidirect
373. #442D4semidirect
820. C4×D4C2×D4semidirect
934. #106C2×D4semidirect
970. #102C2×D4semidirect
984. #97C2×D4semidirect
1196. C2×D4AGL(1,ℤ/8)semidirect
1583. D4#535semidirect

Maximal subgroups

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

subgroupindex
C2×#33062
C2×#32642
#393622
#362602
#330302
#307292
#307192
#307112
#307052
#305112
#305092
#305012
#305002
#302682
#298002
#286102
#284932
#258982
#257702
#257632
#255772
#244542
#244442
#244342
#244242
#238642
#238612
#238512
#238482
#222662
#211222