Finite Group Databasebeta

← #7021429

Subgroups — #7021429

Order 512.

2684 conjugacy classes of subgroups.

The subgroup lattice has 1730 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#59808C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#30918C211yesmaximal, characteristic, complemented
6#30899C211yesmaximal, characteristic, complemented
7#30847C211yesmaximal, characteristic, complemented
8#30755C211yesmaximal, characteristic, complemented
9#30705C211yesmaximal, characteristic, complemented
10#30535C211yesmaximal, characteristic, complemented
11#30500C211yesmaximal, characteristic, complemented
12#30468C211yesmaximal, characteristic, complemented
13#28117C211yesmaximal, characteristic, complemented
14#28101C211yesmaximal, characteristic, complemented
15#26904C211yesmaximal, characteristic, complemented
16#26632C211yesmaximal, characteristic, complemented
17#26601C211yesmaximal, characteristic, complemented
18#25172C211yesmaximal, characteristic, complemented
19#25088C211yesmaximal, characteristic, complemented
20#24424C211yesmaximal, characteristic, complemented
21#24355C211yesmaximal, characteristic, complemented
22#24275C211yesmaximal, characteristic, complemented
23#24214C211yesmaximal, characteristic, complemented
24#24048C211yesmaximal, characteristic, complemented
25#23972C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23428C211yesmaximal, characteristic, complemented
30#22187C211yesmaximal, characteristic, complemented
31#22170C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C23×D8C2211yescharacteristic
35C2×#547C2211yescharacteristic, complemented
36C2×#546—21no—
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic, complemented
40C2×D42C2211yescharacteristic, complemented
41C2×#532C2211yescharacteristic, complemented
42#3306—28no—
43#3264—28no—
44C2×#496C2211yescharacteristic
45C2×#489C2211yescharacteristic, complemented
46C2×#481C2211yescharacteristic, complemented
47C2×#483C2211yescharacteristic, complemented
48C2×#476C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic
50C2×#466C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#447C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#442C2211yescharacteristic, complemented
70C2×#442C2211yescharacteristic, complemented
71C2×#435C2211yescharacteristic, complemented
72C2×#435C2211yescharacteristic, complemented
73C2×#417C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic, complemented
75C22×#102C2211yescharacteristic, complemented
76#2681—21no—
77#2678—21no—
78#2668—21no—
79#2668—21no—
80#2547C2211yescharacteristic, complemented
81#2542C2211yescharacteristic, complemented
82#2537—21no—
83#2534—21no—
84#2491C2211yescharacteristic, complemented
85#2486C2211yescharacteristic, complemented
86#2472—21no—
87#2464—21no—
88#2452C2211yescharacteristic, complemented
89#2445C2211yescharacteristic, complemented
90#2435C2211yescharacteristic, complemented
91#2435C2211yescharacteristic, complemented
92#2428C2211yescharacteristic, complemented
93#2427C2211yescharacteristic, complemented
94#2427C2211yescharacteristic, complemented
95#2422—21no—
96#2418—21no—
97#2418—21no—
98#2416C2211yescharacteristic
99#2408—21no—
100#2408C2211yescharacteristic
101#2408C2211yescharacteristic, complemented
102#2407C2211yescharacteristic
103#2407C2211yescharacteristic, complemented
104#2405—21no—
105#2404—21no—
106#2366C2211yescharacteristic, complemented
107#2361C2211yescharacteristic, complemented
108D4×C22⋊C4—21no—
109D4×C22⋊C4C2211yescharacteristic, complemented
110C4×#121C2211yescharacteristic
111C4×#121C2211yescharacteristic, complemented
112C4×#121C2211yescharacteristic, complemented
113C2×#390C2211yescharacteristic, complemented
114#2068C2211yescharacteristic, complemented
115#2065C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2054C2211yescharacteristic
120#2054C2211yescharacteristic, complemented
121#2054C2211yescharacteristic, complemented
122#2043C2211yescharacteristic, complemented
123#2042C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2035C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2024C2211yescharacteristic, complemented
131#2023C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2013C2211yescharacteristic, complemented
134#2013C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2011C2211yescharacteristic
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1983C2211yescharacteristic, complemented
155#1983C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1936C2211yescharacteristic, complemented
159#1935C2211yescharacteristic, complemented
160#1926C2211yescharacteristic, complemented
161#1926C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1926C2211yescharacteristic, complemented
164#1924C2211yescharacteristic, complemented
165#1924C2211yescharacteristic, complemented
166#1919C2211yescharacteristic, complemented
167#1919C2211yescharacteristic, complemented
168#1917C2211yescharacteristic, complemented
169#1917C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1862C2211yescharacteristic, complemented
194#1850C2211yescharacteristic, complemented
195#1850C2211yescharacteristic, complemented
196#1824C2211yescharacteristic, complemented
197#1809C2211yescharacteristic, complemented
198#1797C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, 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—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×D8—24no—
227C22×D8—42no—
228C22×D8—42no—
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C23×C8C2311yescharacteristic
241C23×C8C2311yescharacteristic
242#547—24no—
243#547—42no—
244#546—24no—
245#546—24no—
246#546—42no—
247#546—42no—
248#546—48no—
249D42—24no—
250D42—42no—
251D42—42no—
252D42—42no—
253#532—42no—
254#532—42no—
255C2×C4⋊Q8C2311yescharacteristic
256C2×C4⋊Q8C2311yescharacteristic
257C2×#127C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#124—21no—
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#124C2311yescharacteristic
264C2×#123—21no—
265C2×#123—21no—
266C2×#123—21no—
267C2×#123—21no—
268C2×#123—21no—
269C2×#123—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8—21no—
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121D411yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
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×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4—21no—
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
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C22⋊C4—21no—
319C22×C22⋊C4—21no—
320C22×C22⋊C4—21no—
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323C22×C42C2311yescharacteristic
324#496—24no—
325#489—24no—
326#483—24no—
327#481—24no—
328#476—24no—
329#469D418yescomplemented
330#466—42no—
331#465—24no—
332#465—24no—
333#465—42no—
334#463—24no—
335#463—24no—
336#463—42no—
337#463—42no—
338#459—24no—
339#450—24no—
340#450—42no—
341#449—24no—
342#449—24no—
343#447—24no—
344#447—24no—
345#447—24no—
346#447—42no—
347#447—42no—
348#447—42no—
349#442—24no—
350#442—24no—
351#435—24no—
352#435—24no—
353C2×#107C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362#417—24no—
363#417—42no—
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#102—24no—
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×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409#399—21no—
410#399—21no—
411#398—21no—
412#397—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#396—21no—
418#396—21no—
419#394—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#393—21no—
435#393—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390D411yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#389D411yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388D411yescharacteristic
468#388D411yescharacteristic
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386D411yescharacteristic
484#386D411yescharacteristic
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#384—21no—
490#381—21no—
491#380—21no—
492#380—21no—
493#380—21no—
494#380—21no—
495#380D411yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#379—21no—
501#379—21no—
502#379—21no—
503#379—21no—
504#379—21no—
505#379—21no—
506#379—21no—
507C4×C4⋊C4C2311yescharacteristic
508C4×C4⋊C4C2311yescharacteristic
509C4×C4⋊C4C2311yescharacteristic
510C4×C22⋊C4—21no—
511C4×C22⋊C4—21no—
512C4×C22⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
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—22no—
543C2×#41—22no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—44no—
551C2×#41—44no—
552C2×#41—82no—
553C22×Q8—21no—
554C22×Q8C2411yescharacteristic
555C22×Q8C2411yescharacteristic
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—22no—
561C22×D4—22no—
562C22×D4—22no—
563C22×D4—22no—
564C22×D4—22no—
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—22no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—22no—
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—41no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—82no—
603C22×D4—82no—
604C22×D4C2×D411yescharacteristic
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4C2×D411yescharacteristic
624C23×C4C2×D411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628AGL(1,ℤ/8)—416no—
629AGL(1,ℤ/8)—416no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
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—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×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—416no—
675C2×D8C2×D414yes—
676C2×M16—22no—
677C2×M16—41no—
678C2×M16—41no—
679C2×M16—41no—
680C2×M16—41no—
681C2×M16C2×D414yescomplemented
682C22×C8—22no—
683C22×C8—22no—
684C22×C8—41no—
685C22×C8—41no—
686C22×C8—41no—
687C22×C8—41no—
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C4⋊Q8—22no—
697C4⋊Q8—41no—
698C4⋊Q8—41no—
699C4⋊Q8—41no—
700#127—22no—
701#127—22no—
702#127—22no—
703#127—41no—
704#124—22no—
705#124—22no—
706#124—22no—
707#124—22no—
708#124—41no—
709#124—41no—
710#124—41no—
711#124—41no—
712#124—44no—
713#123—44no—
714#123—44no—
715#123—44no—
716#123—44no—
717#123—44no—
718#123—44no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—44no—
722C22⋊Q8—41no—
723C22⋊Q8—41no—
724C22⋊Q8—44no—
725C22⋊Q8—41no—
726C22⋊Q8—41no—
727C22⋊Q8—41no—
728C22⋊Q8—41no—
729#121—24no—
730#121—22no—
731#121—22no—
732#121—22no—
733#121—22no—
734#121—22no—
735#121—22no—
736#121—22no—
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#121—41no—
746#121—44no—
747#121—44no—
748#121—44no—
749#121—44no—
750#121—41no—
751#121—41no—
752#121C2×D414yes—
753#121C2×D414yescomplemented
754#120—44no—
755#120—44no—
756#120—44no—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—44no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
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—44no—
783C4×D4—44no—
784C4×D4—82no—
785C4×D4—82no—
786C2×C4⋊C4—22no—
787C2×C4⋊C4—22no—
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—41no—
803C2×C4⋊C4C2×D411yescharacteristic
804C2×C4⋊C4C2×D411yescharacteristic
805C2×C4⋊C4C2×D411yescharacteristic
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
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⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—44no—
867C2×C22⋊C4—44no—
868C2×C22⋊C4—44no—
869C2×C22⋊C4—44no—
870C2×C22⋊C4—82no—
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×C42—21no—
882C2×C42—21no—
883C2×C42—41no—
884C2×C42—41no—
885C2×C42C2×D411yescharacteristic
886C2×C42C2×D411yescharacteristic
887C2×C42C2411yescharacteristic
888C2×C42C2411yescharacteristic
889C2×C42C2411yescharacteristic
890C2×C42C2411yescharacteristic
891#107—41no—
892#106—22no—
893#106—22no—
894#106—41no—
895#106C2×D414yescomplemented
896C4⋊C8—22no—
897C4⋊C8—22no—
898C4⋊C8—41no—
899C4⋊C8—41no—
900#103—22no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—41no—
905#103—41no—
906#103—41no—
907#103—41no—
908#103—41no—
909#103—41no—
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#102C2×D414yes—
933#102C2×D414yescomplemented
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—41no—
939C22⋊C8—41no—
940C22⋊C8—41no—
941C22⋊C8—41no—
942#97—22no—
943#97—22no—
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#95C2×D411yescharacteristic
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
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—
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000C24C22×D411yescharacteristic
1001#41—44no—
1002#41—44no—
1003#41—44no—
1004#41—44no—
1005#41—82no—
1006#41—82no—
1007#41—82no—
1008#41—82no—
1009#41—816no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—42no—
1023C2×Q8—42no—
1024C2×Q8—81no—
1025C2×D4—24no—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—24no—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—24no—
1032C2×D4—24no—
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—21no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
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—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—42no—
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—82no—
1104C2×D4—82no—
1105C2×D4—81no—
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—81no—
1124C2×D4—81no—
1125C2×D4—81no—
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—816no—
1135C2×D4—816no—
1136C2×D4AGL(1,ℤ/8)14yescomplemented
1137C2×D4C22×D412yes—
1138C2×D4C22×D412yes—
1139C2×D4H(5,𝔽2)12yes—
1140C2×D4H(5,𝔽2)12yes—
1141C2×D4H(5,𝔽2)12yes—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
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—22no—
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—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—81no—
1194C22×C4—81no—
1195C22×C4—81no—
1196C22×C4—81no—
1197C22×C4—81no—
1198C22×C4—81no—
1199C22×C4—81no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C22×D411yescharacteristic
1208C22×C4C22×D411yescharacteristic
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D412yes—
1215C22×C4C22×D411yescharacteristic
1216C22×C4H(5,𝔽2)12yes—
1217C22×C4C2511yescharacteristic
1218SD16—44no—
1219SD16—44no—
1220SD16—44no—
1221SD16—44no—
1222SD16—82no—
1223SD16—82no—
1224D8—28no—
1225D8—44no—
1226D8—44no—
1227D8—44no—
1228D8—44no—
1229D8—44no—
1230D8—44no—
1231D8—44no—
1232D8—82no—
1233M16—44no—
1234M16—44no—
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—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—44no—
1258C2×C8—82no—
1259C2×C8C22×D412yes—
1260C2×C8C22×D412yes—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
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—42no—
1281C4⋊C4—42no—
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—81no—
1291C4⋊C4—81no—
1292C4⋊C4—81no—
1293C4⋊C4C22×D412yes—
1294C4⋊C4C22×D412yes—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
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—81no—
1338C22⋊C4—81no—
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—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—41no—
1364C42—41no—
1365C42—42no—
1366C42—42no—
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—21no—
1384C23—21no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
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—41no—
1427C23—84no—
1428C23—84no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
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—
1454C23—162no—
1455C23D4212yes—
1456C23C2×AGL(1,ℤ/8)12yes—
1457C23C2×AGL(1,ℤ/8)12yes—
1458C23C23×D411yescharacteristic
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466Q8—41no—
1467Q8—84no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—22no—
1473D4—22no—
1474D4—22no—
1475D4—22no—
1476D4—22no—
1477D4—22no—
1478D4—44no—
1479D4—48no—
1480D4—44no—
1481D4—44no—
1482D4—48no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
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—84no—
1511D4—162no—
1512D4—162no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
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—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
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—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—82no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—82no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—162no—
1596C2×C4—162no—
1597C2×C4—162no—
1598C2×C4D4212yes—
1599C2×C4C2×AGL(1,ℤ/8)12yes—
1600C2×C4C23×D411yescharacteristic
1601C2×C4C2×H(5,𝔽2)11yescharacteristic
1602C2×C4C2×H(5,𝔽2)11yescharacteristic
1603C2×C4C2×H(5,𝔽2)11yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C2×C4#58511yescharacteristic
1606C8—22no—
1607C8—22no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—81no—
1651C22—81no—
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—81no—
1676C22—81no—
1677C22—168no—
1678C22—168no—
1679C22—168no—
1680C22—168no—
1681C22C2×D4211yescharacteristic
1682C22#348411yescharacteristic
1683C22#348811yescharacteristic
1684C22C22×AGL(1,ℤ/8)11yescharacteristic
1685C22#358411yescharacteristic
1686C22#358511yescharacteristic
1687C22#358511yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4#348411yescharacteristic
1710C4#348811yescharacteristic
1711C4#353211yescharacteristic
1712C4#353411yescharacteristic
1713C2—42no—
1714C2—42no—
1715C2—42no—
1716C2—82no—
1717C2—82no—
1718C2—82no—
1719C2—82no—
1720C2—82no—
1721C2—161no—
1722C2#4309811yescharacteristic
1723C2D4×AGL(1,ℤ/8)11yescharacteristic
1724C2#6109211yescharacteristic
1725C2#6156911yescharacteristic
1726C2#6161411yescharacteristic
1727C2#6198911yescharacteristic
1728C2#6208311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ 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. #59808C2semidirect
4. #59035C2semidirect
5. #30918C2semidirect
6. #30899C2semidirect
7. #30847C2semidirect
8. #30755C2semidirect
9. #30705C2semidirect
10. #30535C2semidirect
11. #30500C2semidirect
12. #30468C2semidirect
13. #28117C2semidirect
14. #28101C2semidirect
15. #26904C2semidirect
16. #26632C2semidirect
17. #26601C2semidirect
18. #25172C2semidirect
19. #25088C2semidirect
20. #24424C2semidirect
21. #24355C2semidirect
22. #24275C2semidirect
23. #24214C2semidirect
24. #24048C2semidirect
25. #23972C2semidirect
26. #23861C2semidirect
27. #23860C2semidirect
28. #23848C2semidirect
29. #23428C2semidirect
30. #22187C2semidirect
31. #22170C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
35. C2×#547C22semidirect
38. C2×#546C22semidirect
39. C2×D42C22semidirect
40. C2×D42C22semidirect
41. C2×#532C22semidirect
45. C2×#489C22semidirect
46. C2×#481C22semidirect
47. C2×#483C22semidirect
48. C2×#476C22semidirect
50. C2×#466C22semidirect
51. C2×#465C22semidirect
52. C2×#465C22semidirect
53. C2×#465C22semidirect
55. C2×#463C22semidirect
56. C2×#463C22semidirect
57. C2×#463C22semidirect
58. C2×#459C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#450C22semidirect
62. C2×#450C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#442C22semidirect
70. C2×#442C22semidirect
71. C2×#435C22semidirect
72. C2×#435C22semidirect
73. C2×#417C22semidirect
74. C2×#417C22semidirect
75. C22×#102C22semidirect
80. #2547C22semidirect
81. #2542C22semidirect
84. #2491C22semidirect
85. #2486C22semidirect
88. #2452C22semidirect
89. #2445C22semidirect
90. #2435C22semidirect
91. #2435C22semidirect
92. #2428C22semidirect
93. #2427C22semidirect
94. #2427C22semidirect
101. #2408C22semidirect
103. #2407C22semidirect
106. #2366C22semidirect
107. #2361C22semidirect
109. D4×C22⋊C4C22semidirect
111. C4×#121C22semidirect
112. C4×#121C22semidirect
113. C2×#390C22semidirect
114. #2068C22semidirect
115. #2065C22semidirect
116. #2065C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
120. #2054C22semidirect
121. #2054C22semidirect
122. #2043C22semidirect
123. #2042C22semidirect
124. #2042C22semidirect
125. #2041C22semidirect
126. #2035C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
129. #2033C22semidirect
130. #2024C22semidirect
131. #2023C22semidirect
132. #2014C22semidirect
133. #2013C22semidirect
134. #2013C22semidirect
135. #2013C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
153. #1999C22semidirect
154. #1983C22semidirect
155. #1983C22semidirect
156. #1973C22semidirect
157. #1972C22semidirect
158. #1936C22semidirect
159. #1935C22semidirect
160. #1926C22semidirect
161. #1926C22semidirect
162. #1926C22semidirect
163. #1926C22semidirect
164. #1924C22semidirect
165. #1924C22semidirect
166. #1919C22semidirect
167. #1919C22semidirect
168. #1917C22semidirect
169. #1917C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1893C22semidirect
173. #1892C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1869C22semidirect
189. #1869C22semidirect
190. #1864C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1862C22semidirect
194. #1850C22semidirect
195. #1850C22semidirect
196. #1824C22semidirect
197. #1809C22semidirect
198. #1797C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. #1728C22semidirect
329. #469D4semidirect
681. C2×M16C2×D4semidirect
753. #121C2×D4semidirect
895. #106C2×D4semidirect
933. #102C2×D4semidirect
1136. 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
#598082
#590352
#309182
#308992
#308472
#307552
#307052
#305352
#305002
#304682
#281172
#281012
#269042
#266322
#266012
#251722
#250882
#244242
#243552
#242752
#242142
#240482
#239722
#238612
#238602
#238482
#234282
#221872
#221702