Finite Group Databasebeta

← #7562219

Subgroups — #7562219

Order 512.

2697 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic, complemented
2C2×#3055C211yesmaximal, characteristic, complemented
3#59021C211yesmaximal, characteristic, complemented
4#58997C211yesmaximal, characteristic, complemented
5#30931C211yesmaximal, characteristic, complemented
6#30730C211yesmaximal, characteristic, complemented
7#30609C211yesmaximal, characteristic, complemented
8#30412C211yesmaximal, characteristic, complemented
9#28914C211yesmaximal, characteristic, complemented
10#28565C211yesmaximal, characteristic, complemented
11#28332C211yesmaximal, characteristic, complemented
12#27279C211yesmaximal, characteristic, complemented
13#26984C211yesmaximal, characteristic, complemented
14#26366C211yesmaximal, characteristic, complemented
15#26153C211yesmaximal, characteristic, complemented
16#25537C211yesmaximal, characteristic, complemented
17#25392C211yesmaximal, characteristic, complemented
18#25202C211yesmaximal, characteristic, complemented
19#25136C211yesmaximal, characteristic, complemented
20#25133C211yesmaximal, characteristic, complemented
21#25076C211yesmaximal, characteristic, complemented
22#24432C211yesmaximal, characteristic, complemented
23#24372C211yesmaximal, characteristic, complemented
24#24005C211yesmaximal, characteristic, complemented
25#23920C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23127C211yesmaximal, characteristic, complemented
28#22866C211yesmaximal, characteristic, complemented
29#22428C211yesmaximal, characteristic, complemented
30#21441C211yesmaximal, characteristic, complemented
31C2×#1895C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×M16C2211yescharacteristic, complemented
34C2×#553C2211yescharacteristic, complemented
35C2×D42—21no—
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#525C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41#3318—28no—
42C2×#490C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic
44C2×#481C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic, complemented
47#3055—28no—
48C2×#469C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#466C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic
56C2×#465C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic, complemented
62C2×#450C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#442C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic, complemented
67C2×#436C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×#428C2211yescharacteristic, complemented
70C2×#417C2211yescharacteristic, complemented
71C2×#418C2211yescharacteristic, complemented
72C2×#418C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75#2706—21no—
76#2695—21no—
77#2675—21no—
78#2669—21no—
79#2541C2211yescharacteristic
80#2537C2211yescharacteristic, complemented
81#2502C2211yescharacteristic, complemented
82#2489C2211yescharacteristic, complemented
83#2468—21no—
84#2444—21no—
85#2441C2211yescharacteristic, complemented
86#2433C2211yescharacteristic
87#2433C2211yescharacteristic
88#2428C2211yescharacteristic
89#2428C2211yescharacteristic
90#2425—21no—
91#2424—21no—
92#2424—21no—
93#2424—21no—
94#2422C2211yescharacteristic, complemented
95#2418—21no—
96#2417C2211yescharacteristic, complemented
97#2416C2211yescharacteristic
98#2416C2211yescharacteristic
99#2415C2211yescharacteristic, complemented
100#2410—21no—
101#2410—21no—
102#2408C2211yescharacteristic
103#2407C2211yescharacteristic, complemented
104#2403—21no—
105#2361C2211yescharacteristic
106#2361C2211yescharacteristic
107#2361C2211yescharacteristic, complemented
108#2354C2211yescharacteristic, complemented
109#2349—21no—
110#2339C2211yescharacteristic, complemented
111C4×#120C2211yescharacteristic
112C2×#380C2211yescharacteristic, complemented
113#2094C2211yescharacteristic, complemented
114#2094C2211yescharacteristic, complemented
115#2088C2211yescharacteristic, complemented
116#2084C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2066C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1982C2211yescharacteristic, complemented
146#1968C2211yescharacteristic, complemented
147#1968C2211yescharacteristic, complemented
148#1957C2211yescharacteristic, complemented
149#1957C2211yescharacteristic, complemented
150#1948C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1935C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1927C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1918C2211yescharacteristic, complemented
158#1918C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1895C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1894C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1877C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic
176#1875C2211yescharacteristic, complemented
177#1875C2211yescharacteristic, complemented
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1853C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1779C2211yescharacteristic, complemented
198C4×#102C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203C2×#340C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
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×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16—24no—
226C22×M16—42no—
227C22×M16—42no—
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235#553—24no—
236#553—42no—
237D42—24no—
238D42—24no—
239D42—42no—
240D42—42no—
241D42—48no—
242C2×#127—21no—
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#126—21no—
247C2×#125C2311yescharacteristic
248#525—24no—
249#525—42no—
250C2×#123—21no—
251C2×#123—21no—
252C2×#123—21no—
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—24no—
269C2×#121—24no—
270C2×#121—42no—
271C2×#121—42no—
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120D411yescharacteristic
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C2×#117C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318#490—24no—
319#482—24no—
320#481—24no—
321#481—42no—
322#478—24no—
323#469—24no—
324#469—24no—
325#469—24no—
326#468—24no—
327#468—24no—
328#466—24no—
329#466D418yescomplemented
330#465—24no—
331#465—24no—
332#459—24no—
333#459—42no—
334#450—42no—
335#450—42no—
336#449—24no—
337#449—42no—
338#447—24no—
339#447—24no—
340#442—24no—
341#436—42no—
342#436—42no—
343#435—24no—
344#428—24no—
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356#418—24no—
357#418—24no—
358#417—24no—
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#102—24no—
364C2×#102—42no—
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×C4×C8C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405#400—21no—
406#399—21no—
407#398—21no—
408#398—21no—
409#398—21no—
410#397—21no—
411#397—21no—
412#397—21no—
413#396—21no—
414#396—21no—
415#396—21no—
416#396—21no—
417#394—21no—
418#394—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#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#390—21no—
441#390—21no—
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#389—21no—
448#389—21no—
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#387—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386D411yescharacteristic
473#386D411yescharacteristic
474#386D411yescharacteristic
475#385—21no—
476#385—21no—
477#385—21no—
478#385—21no—
479#385—21no—
480#385—21no—
481#385—21no—
482#385D411yescharacteristic
483#385D411yescharacteristic
484#385D411yescharacteristic
485#384C2311yescharacteristic
486#384C2311yescharacteristic
487#382—21no—
488#381—21no—
489#380—21no—
490#380—21no—
491#380—21no—
492#380—21no—
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379—21no—
500#379D411yescharacteristic
501C4×C4⋊C4—21no—
502C4×C4⋊C4C2311yescharacteristic
503C4×C4⋊C4C2311yescharacteristic
504C4×C22⋊C4C2311yescharacteristic
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C2×#95—21no—
508C2×#95—21no—
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531C25—21no—
532C25—21no—
533C25—21no—
534C25C2×D411yescharacteristic
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C22×Q8C2411yescharacteristic
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
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—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—41no—
574C22×D4—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—44no—
584C22×D4—44no—
585C22×D4—44no—
586C22×D4—44no—
587C22×D4—44no—
588C22×D4—44no—
589C22×D4—44no—
590C22×D4—44no—
591C22×D4—82no—
592C22×D4—82no—
593C22×D4—82no—
594C22×D4—82no—
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2411yescharacteristic
599C22×D4C2411yescharacteristic
600C22×D4C2411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C23×C4—22no—
604C23×C4—22no—
605C23×C4—22no—
606C23×C4—22no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—41no—
617C23×C4—41no—
618C23×C4C2×D411yescharacteristic
619C23×C4C2×D411yescharacteristic
620C23×C4C2×D411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625AGL(1,ℤ/8)—416no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—41no—
644C2×D8—41no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8C2×D414yescomplemented
650C2×M16—22no—
651C2×M16—22no—
652C2×M16—22no—
653C2×M16—22no—
654C2×M16—22no—
655C2×M16—22no—
656C2×M16—22no—
657C2×M16—22no—
658C2×M16—22no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16—41no—
662C2×M16—41no—
663C2×M16—41no—
664C2×M16—41no—
665C2×M16—416no—
666C22×C8—22no—
667C22×C8—22no—
668C22×C8—41no—
669C22×C8—41no—
670C22×C8—41no—
671C22×C8C2×D414yescomplemented
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680#127—22no—
681#127—22no—
682#127—41no—
683#127—41no—
684#127—41no—
685#127—41no—
686#127—44no—
687#126—44no—
688#125—22no—
689#125—41no—
690#123—44no—
691#123—44no—
692#123—82no—
693C22⋊Q8—22no—
694C22⋊Q8—22no—
695C22⋊Q8—22no—
696C22⋊Q8—41no—
697C22⋊Q8—41no—
698C22⋊Q8—41no—
699#121—22no—
700#121—22no—
701#121—22no—
702#121—22no—
703#121—22no—
704#121—22no—
705#121—22no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—44no—
715#121—44no—
716#121—44no—
717#121—44no—
718#121—44no—
719#121—44no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—44no—
729#121—44no—
730#121—44no—
731#121—44no—
732#121—44no—
733#121—82no—
734#121C2×D414yes—
735#121C2×D414yescomplemented
736#121#4114yes—
737#120—24no—
738#120—44no—
739#120—44no—
740#120—44no—
741#120—44no—
742#120—44no—
743#120—44no—
744#120—44no—
745#120—44no—
746#120—82no—
747#120—82no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—22no—
754C4×D4—22no—
755C4×D4—41no—
756C4×D4—41no—
757C4×D4—41no—
758C4×D4—41no—
759C4×D4—41no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—44no—
763C4×D4—44no—
764C4×D4—44no—
765C4×D4—44no—
766C4×D4—44no—
767C4×D4—44no—
768#117—22no—
769#117—22no—
770#117—41no—
771#117—41no—
772C2×C4⋊C4—22no—
773C2×C4⋊C4—22no—
774C2×C4⋊C4—22no—
775C2×C4⋊C4—22no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—41no—
794C2×C4⋊C4—41no—
795C2×C4⋊C4—41no—
796C2×C4⋊C4—41no—
797C2×C4⋊C4C2×D411yescharacteristic
798C2×C4⋊C4C2×D411yescharacteristic
799C2×C4⋊C4C2×D411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
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—44no—
849C2×C22⋊C4—44no—
850C2×C22⋊C4—82no—
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C22⋊C4C2×D411yescharacteristic
859C2×C22⋊C4C2×D411yescharacteristic
860C2×C22⋊C4C2×D411yescharacteristic
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C42—21no—
864C2×C42—21no—
865C2×C42—21no—
866C2×C42—21no—
867C2×C42C2411yescharacteristic
868C2×C42C2411yescharacteristic
869C2×C42C2411yescharacteristic
870#107—22no—
871#107C2×D414yescomplemented
872#106—22no—
873#106—22no—
874#106—22no—
875#106—22no—
876#106—41no—
877#106—41no—
878C4⋊C8—22no—
879C4⋊C8—22no—
880C4⋊C8—41no—
881#103—22no—
882#103—22no—
883#103—22no—
884#103—41no—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102C2×D414yescomplemented
912#102C2×D414yescomplemented
913C22⋊C8—22no—
914C22⋊C8—22no—
915C22⋊C8—22no—
916C22⋊C8—22no—
917C22⋊C8—22no—
918C22⋊C8—22no—
919C22⋊C8—41no—
920C22⋊C8—41no—
921C22⋊C8—41no—
922#97—22no—
923C4×C8—41no—
924C4×C8—41no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947#95C2×D411yescharacteristic
948#95C2×D411yescharacteristic
949C24—22no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—21no—
957C24—21no—
958C24—41no—
959C24—41no—
960C24—41no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24—81no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24C22×D411yescharacteristic
983C24C22×D411yescharacteristic
984C24C22×D411yescharacteristic
985C24C22×D411yescharacteristic
986#41—44no—
987#41—44no—
988#41—82no—
989#41—82no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8—21no—
996C2×D4—22no—
997C2×D4—24no—
998C2×D4—24no—
999C2×D4—22no—
1000C2×D4—24no—
1001C2×D4—22no—
1002C2×D4—22no—
1003C2×D4—22no—
1004C2×D4—22no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—44no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
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—82no—
1083C2×D4—82no—
1084C2×D4—82no—
1085C2×D4—82no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—81no—
1104C2×D4—81no—
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—816no—
1114C2×D4—816no—
1115C2×D4—816no—
1116C2×D4—816no—
1117C2×D4C22×D412yes—
1118C2×D4C22×D412yes—
1119C2×D4C2×#4112yes—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
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—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—81no—
1179C22×C4—81no—
1180C22×C4—81no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4—81no—
1184C22×C4—81no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4—81no—
1190C22×C4—81no—
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D412yes—
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D411yescharacteristic
1202C22×C4C2×#4112yes—
1203C22×C4H(5,𝔽2)12yes—
1204C22×C4H(5,𝔽2)12yes—
1205C22×C4C2511yescharacteristic
1206SD16—44no—
1207SD16—44no—
1208SD16—82no—
1209SD16—82no—
1210D8—44no—
1211D8—44no—
1212D8—44no—
1213D8—82no—
1214M16—28no—
1215M16—44no—
1216M16—44no—
1217M16—44no—
1218M16—82no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—44no—
1241C2×C8—44no—
1242C2×C8C22×D412yes—
1243C2×C8C22×D412yes—
1244C2×C8H(5,𝔽2)12yes—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—81no—
1276C4⋊C4—81no—
1277C4⋊C4—81no—
1278C4⋊C4—81no—
1279C4⋊C4—81no—
1280C4⋊C4—81no—
1281C4⋊C4—81no—
1282C4⋊C4C22×D412yes—
1283C4⋊C4C22×D412yes—
1284C4⋊C4C2×#4112yes—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—22no—
1291C22⋊C4—24no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
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—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4AGL(1,ℤ/8)14yescomplemented
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—21no—
1339C42—21no—
1340C42—21no—
1341C42—42no—
1342C42—42no—
1343C42—42no—
1344C42—42no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—22no—
1360C23—21no—
1361C23—22no—
1362C23—21no—
1363C23—22no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—44no—
1388C23—41no—
1389C23—41no—
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—82no—
1409C23—82no—
1410C23—82no—
1411C23—84no—
1412C23—84no—
1413C23—84no—
1414C23—84no—
1415C23—84no—
1416C23—84no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—162no—
1423C23—162no—
1424C23—162no—
1425C23—162no—
1426C23—162no—
1427C23—162no—
1428C23—162no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23D4212yes—
1433C23#54612yes—
1434C23C2×AGL(1,ℤ/8)12yes—
1435C23#57712yes—
1436C23C23×D411yescharacteristic
1437Q8—41no—
1438Q8—41no—
1439Q8—41no—
1440Q8—41no—
1441D4—22no—
1442D4—22no—
1443D4—22no—
1444D4—22no—
1445D4—22no—
1446D4—22no—
1447D4—44no—
1448D4—48no—
1449D4—44no—
1450D4—48no—
1451D4—48no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—82no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472D4—84no—
1473D4—84no—
1474D4—84no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—84no—
1480D4—84no—
1481D4—84no—
1482D4—162no—
1483D4—162no—
1484D4—162no—
1485D4—162no—
1486D4—162no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—84no—
1570C2×C4—162no—
1571C2×C4—162no—
1572C2×C4—162no—
1573C2×C4—162no—
1574C2×C4D4212yes—
1575C2×C4#54612yes—
1576C2×C4C2×AGL(1,ℤ/8)12yes—
1577C2×C4C2×AGL(1,ℤ/8)12yes—
1578C2×C4C23×D411yescharacteristic
1579C2×C4C22×#4111yescharacteristic
1580C2×C4C2×H(5,𝔽2)11yescharacteristic
1581C2×C4C2×H(5,𝔽2)11yescharacteristic
1582C2×C4C2×H(5,𝔽2)11yescharacteristic
1583C2×C4#58511yescharacteristic
1584C8—22no—
1585C8—22no—
1586C8—22no—
1587C8—41no—
1588C8—41no—
1589C8—41no—
1590C8—41no—
1591C8—41no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—88no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—168no—
1656C22—168no—
1657C22—168no—
1658C22#327214yes—
1659C22C2×D4211yescharacteristic
1660C22C2×#54611yescharacteristic
1661C22#349611yescharacteristic
1662C22C22×AGL(1,ℤ/8)11yescharacteristic
1663C22C2×#57711yescharacteristic
1664C22#358511yescharacteristic
1665C22#358511yescharacteristic
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4—81no—
1684C4—81no—
1685C4—81no—
1686C4—81no—
1687C4D4×#4111yescharacteristic
1688C4#348411yescharacteristic
1689C4#351911yescharacteristic
1690C4#353411yescharacteristic
1691C2—24no—
1692C2—42no—
1693C2—81no—
1694C2—81no—
1695C2—82no—
1696C2—82no—
1697C2—82no—
1698C2—161no—
1699C2—161no—
1700C2#5912311yescharacteristic
1701C2C2×#327211yescharacteristic
1702C2#6106311yescharacteristic
1703C2#6115511yescharacteristic
1704C2#6119211yescharacteristic
1705C2#6229911yescharacteristic
1706C2#6230811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3318C2semidirect
2. C2×#3055C2semidirect
3. #59021C2semidirect
4. #58997C2semidirect
5. #30931C2semidirect
6. #30730C2semidirect
7. #30609C2semidirect
8. #30412C2semidirect
9. #28914C2semidirect
10. #28565C2semidirect
11. #28332C2semidirect
12. #27279C2semidirect
13. #26984C2semidirect
14. #26366C2semidirect
15. #26153C2semidirect
16. #25537C2semidirect
17. #25392C2semidirect
18. #25202C2semidirect
19. #25136C2semidirect
20. #25133C2semidirect
21. #25076C2semidirect
22. #24432C2semidirect
23. #24372C2semidirect
24. #24005C2semidirect
25. #23920C2semidirect
26. #23860C2semidirect
27. #23127C2semidirect
28. #22866C2semidirect
29. #22428C2semidirect
30. #21441C2semidirect
31. C2×#1895C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C23×M16C22semidirect
34. C2×#553C22semidirect
38. C2×#525C22semidirect
42. C2×#490C22semidirect
44. C2×#481C22semidirect
45. C2×#482C22semidirect
46. C2×#478C22semidirect
48. C2×#469C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
54. C2×#466C22semidirect
56. C2×#465C22semidirect
57. C2×#459C22semidirect
58. C2×#459C22semidirect
60. C2×#449C22semidirect
61. C2×#450C22semidirect
62. C2×#450C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
65. C2×#442C22semidirect
66. C2×#436C22semidirect
67. C2×#436C22semidirect
68. C2×#435C22semidirect
69. C2×#428C22semidirect
70. C2×#417C22semidirect
71. C2×#418C22semidirect
72. C2×#418C22semidirect
73. C22×#102C22semidirect
74. C22×#102C22semidirect
80. #2537C22semidirect
81. #2502C22semidirect
82. #2489C22semidirect
85. #2441C22semidirect
94. #2422C22semidirect
96. #2417C22semidirect
99. #2415C22semidirect
103. #2407C22semidirect
107. #2361C22semidirect
108. #2354C22semidirect
110. #2339C22semidirect
112. C2×#380C22semidirect
113. #2094C22semidirect
114. #2094C22semidirect
115. #2088C22semidirect
116. #2084C22semidirect
117. #2077C22semidirect
118. #2071C22semidirect
119. #2067C22semidirect
120. #2066C22semidirect
121. #2059C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2025C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2011C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1982C22semidirect
146. #1968C22semidirect
147. #1968C22semidirect
148. #1957C22semidirect
149. #1957C22semidirect
150. #1948C22semidirect
151. #1936C22semidirect
152. #1935C22semidirect
153. #1934C22semidirect
154. #1934C22semidirect
155. #1927C22semidirect
156. #1925C22semidirect
157. #1918C22semidirect
158. #1918C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1895C22semidirect
166. #1895C22semidirect
167. #1895C22semidirect
168. #1894C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1877C22semidirect
174. #1877C22semidirect
176. #1875C22semidirect
177. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1872C22semidirect
182. #1870C22semidirect
183. #1870C22semidirect
184. #1869C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1854C22semidirect
188. #1853C22semidirect
189. #1853C22semidirect
190. #1851C22semidirect
191. #1851C22semidirect
192. #1850C22semidirect
193. #1802C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1779C22semidirect
198. C4×#102C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. C8×C22⋊C4C22semidirect
203. C2×#340C22semidirect
204. C2×#340C22semidirect
329. #466D4semidirect
649. C2×D8C2×D4semidirect
671. C22×C8C2×D4semidirect
735. #121C2×D4semidirect
871. #107C2×D4semidirect
911. #102C2×D4semidirect
912. #102C2×D4semidirect
1334. C22⋊C4AGL(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×#33182
C2×#30552
#590212
#589972
#309312
#307302
#306092
#304122
#289142
#285652
#283322
#272792
#269842
#263662
#261532
#255372
#253922
#252022
#251362
#251332
#250762
#244322
#243722
#240052
#239202
#238602
#231272
#228662
#224282
#214412
C2×#18952