Finite Group Databasebeta

← #7146069

Subgroups — #7146069

Order 512.

2639 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3213C211yesmaximal, characteristic, complemented
3#59131C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#31064C211yesmaximal, characteristic, complemented
6#31058C211yesmaximal, characteristic, complemented
7#31008C211yesmaximal, characteristic, complemented
8#30985C211yesmaximal, characteristic, complemented
9#30607C211yesmaximal, characteristic, complemented
10#30603C211yesmaximal, characteristic, complemented
11#30412C211yesmaximal, characteristic, complemented
12#30399C211yesmaximal, characteristic, complemented
13#28610C211yesmaximal, characteristic, complemented
14#28430C211yesmaximal, characteristic, complemented
15#25898C211yesmaximal, characteristic, complemented
16#25763C211yesmaximal, characteristic, complemented
17#25376C211yesmaximal, characteristic, complemented
18#25334C211yesmaximal, characteristic, complemented
19#25164C211yesmaximal, characteristic, complemented
20#25160C211yesmaximal, characteristic, complemented
21#24366C211yesmaximal, characteristic, complemented
22#24355C211yesmaximal, characteristic, complemented
23#24256C211yesmaximal, characteristic, complemented
24#24236C211yesmaximal, characteristic, complemented
25#24215C211yesmaximal, characteristic, complemented
26#24152C211yesmaximal, characteristic, complemented
27#23866C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23708C211yesmaximal, characteristic, complemented
30#23195C211yesmaximal, characteristic, complemented
31#22143C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34C2×#548C2211yescharacteristic, complemented
35C2×#546—21no—
36C2×#546C2211yescharacteristic
37C2×D42C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic, complemented
39C2×#532C2211yescharacteristic, complemented
40C22×#124C2211yescharacteristic, complemented
41#3264—28no—
42#3213—28no—
43C2×#496C2211yescharacteristic
44C2×#496C2211yescharacteristic, complemented
45C2×#489C2211yescharacteristic, complemented
46C2×#489C2211yescharacteristic, complemented
47C2×#476C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#465C2211yescharacteristic, complemented
50C2×#463C2211yescharacteristic
51C2×#463C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#448C2211yescharacteristic, complemented
61C2×#448C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#442C2211yescharacteristic, complemented
74C2×#440C2211yescharacteristic, complemented
75C2×C4×D8C2211yescharacteristic, complemented
76C2×#435C2211yescharacteristic, complemented
77C2×#432C2211yescharacteristic, complemented
78#2672—21no—
79#2670—21no—
80#2668—21no—
81#2668—21no—
82#2555—21no—
83#2547C2211yescharacteristic, complemented
84#2544C2211yescharacteristic, complemented
85#2542C2211yescharacteristic, complemented
86#2540C2211yescharacteristic
87#2537C2211yescharacteristic
88#2537C2211yescharacteristic, complemented
89#2472—21no—
90#2435—21no—
91#2435C2211yescharacteristic, complemented
92#2431C2211yescharacteristic, complemented
93#2427—21no—
94#2427C2211yescharacteristic, complemented
95#2426C2211yescharacteristic, complemented
96#2424—21no—
97#2422C2211yescharacteristic, complemented
98#2422C2211yescharacteristic, complemented
99#2418—21no—
100#2418—21no—
101#2418—21no—
102#2410—21no—
103#2409C2211yescharacteristic, complemented
104#2408C2211yescharacteristic
105#2408C2211yescharacteristic, complemented
106#2408C2211yescharacteristic, complemented
107#2407—21no—
108#2367C2211yescharacteristic, complemented
109#2366C2211yescharacteristic, complemented
110D4×C22⋊C4—21no—
111D4×C22⋊C4C2211yescharacteristic, complemented
112D4×C22⋊C4C2211yescharacteristic, complemented
113C4×#121C2211yescharacteristic
114C4×#121C2211yescharacteristic, complemented
115C4×#121C2211yescharacteristic, complemented
116#2096C2211yescharacteristic, complemented
117#2094C2211yescharacteristic, complemented
118#2088C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2072C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2034C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2012C2211yescharacteristic
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2011C2211yescharacteristic
148#2011C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1987C2211yescharacteristic, complemented
157#1983C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1955C2211yescharacteristic, complemented
168#1954C2211yescharacteristic, complemented
169#1940C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1923C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1864C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1803C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1797C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
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
236C23×C8C2311yescharacteristic
237#548—42no—
238#548—42no—
239#546—24no—
240#546—42no—
241#546—48no—
242D42—24no—
243D42—42no—
244D42—42no—
245D42—42no—
246#532—24no—
247#532—42no—
248C2×C4⋊Q8C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#124—21no—
252C2×#124—21no—
253C2×#124—24no—
254C2×#124—21no—
255C2×#124—21no—
256C2×#124—21no—
257C2×#124—42no—
258C2×#124C2311yescharacteristic
259C2×#124C2311yescharacteristic
260C2×#124C2311yescharacteristic
261C2×#124C2311yescharacteristic
262C2×#124C2311yescharacteristic
263C2×#123—21no—
264C2×#123—21no—
265C2×#123—21no—
266C2×C22⋊Q8—21no—
267C2×C22⋊Q8—21no—
268C2×C22⋊Q8—21no—
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121D411yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×C4×Q8C2311yescharacteristic
298C2×C4×D4—21no—
299C2×C4×D4—21no—
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318C22×C42C2311yescharacteristic
319#496—24no—
320#496D418yescomplemented
321#489—24no—
322#489—24no—
323#476—42no—
324#469—24no—
325#465—24no—
326#463—24no—
327#463—24no—
328#463—24no—
329#463—24no—
330#463—24no—
331#463—42no—
332#463—42no—
333#459—24no—
334#459—42no—
335#450—24no—
336#450—42no—
337#450—42no—
338#449—24no—
339#448—24no—
340#448—24no—
341#448—42no—
342#447—24no—
343#447—24no—
344#447—24no—
345#447—24no—
346#447—42no—
347#447—42no—
348#447—42no—
349#442—24no—
350#440—42no—
351C4×D8—42no—
352#435—24no—
353#432—24no—
354C2×#107C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×#97C2311yescharacteristic
411C2×#97C2311yescharacteristic
412C2×C4×C8C2311yescharacteristic
413#399—21no—
414#399—21no—
415#399—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#397—21no—
420#397—21no—
421#396—21no—
422#395—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#393—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#391—21no—
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390D411yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#389D411yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388D411yescharacteristic
470#388D411yescharacteristic
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#386—21no—
484#386—21no—
485#386D411yescharacteristic
486#386D411yescharacteristic
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#384C2311yescharacteristic
492#384C2311yescharacteristic
493#380—21no—
494#380—21no—
495#380—21no—
496#380D411yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#379—21no—
504#379—21no—
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379—21no—
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
513C4×C22⋊C4—21no—
514C4×C22⋊C4—21no—
515C4×C22⋊C4—21no—
516C4×C22⋊C4C2311yescharacteristic
517C4×C22⋊C4C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
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—41no—
541C2×#41—41no—
542C2×#41—44no—
543C2×#41—44no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—82no—
547C22×Q8—21no—
548C22×Q8—21no—
549C22×Q8—22no—
550C22×Q8—41no—
551C22×Q8—41no—
552C22×Q8—41no—
553C22×Q8—41no—
554C22×Q8—41no—
555C22×Q8C2411yescharacteristic
556C22×Q8C2411yescharacteristic
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—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
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—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—41no—
635C2×SD16—41no—
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×SD16C2×D414yescomplemented
646C2×SD16C2×D414yescomplemented
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—22no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—416no—
673C2×D8C2×D414yes—
674C2×D8C2×D414yes—
675C2×M16—22no—
676C2×M16—41no—
677C2×M16—41no—
678C22×C8—22no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C4⋊Q8—22no—
690C4⋊Q8—22no—
691#127—22no—
692#127—22no—
693#127—41no—
694#127C2×D414yescomplemented
695#124—22no—
696#124—22no—
697#124—22no—
698#124—22no—
699#124—22no—
700#124—22no—
701#124—44no—
702#124—44no—
703#124—41no—
704#124—41no—
705#124—41no—
706#124—44no—
707#124—44no—
708#124—44no—
709#124C2×D414yes—
710#123—44no—
711#123—44no—
712#123—44no—
713C22⋊Q8—22no—
714C22⋊Q8—22no—
715C22⋊Q8—44no—
716C22⋊Q8—41no—
717C22⋊Q8—41no—
718C22⋊Q8—44no—
719C22⋊Q8—41no—
720C22⋊Q8—41no—
721C22⋊Q8—82no—
722#121—24no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—22no—
729#121—22no—
730#121—22no—
731#121—22no—
732#121—44no—
733#121—44no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—41no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—44no—
742#121—44no—
743#121—44no—
744#121—44no—
745#121—44no—
746#121—41no—
747#121—41no—
748#120—44no—
749#120—44no—
750#120—44no—
751#120—44no—
752#120—44no—
753#120—44no—
754#120—44no—
755#120—82no—
756C4×Q8—22no—
757C4×Q8—41no—
758C4×D4—22no—
759C4×D4—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—41no—
768C4×D4—41no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—41no—
774C4×D4—44no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—44no—
780C4×D4—44no—
781C4×D4—44no—
782C4×D4—82no—
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—21no—
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2×D411yescharacteristic
797C2×C4⋊C4C2×D411yescharacteristic
798C2×C4⋊C4C2×D411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
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—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—44no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4—44no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C42—22no—
874C2×C42—22no—
875C2×C42—21no—
876C2×C42—21no—
877C2×C42—21no—
878C2×C42C2×D411yescharacteristic
879C2×C42C2×D411yescharacteristic
880C2×C42C2411yescharacteristic
881C2×C42C2411yescharacteristic
882C2×C42C2411yescharacteristic
883C2×C42C2411yescharacteristic
884#107—22no—
885#106—22no—
886#106—41no—
887#106—41no—
888#106—41no—
889C4⋊C8—22no—
890C4⋊C8—22no—
891C4⋊C8—22no—
892C4⋊C8—22no—
893C4⋊C8—41no—
894C4⋊C8—41no—
895#103—22no—
896#103—22no—
897#103—22no—
898#103—22no—
899#103—22no—
900#103—41no—
901#103—41no—
902#103—41no—
903#103—41no—
904#103—41no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—22no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102—41no—
929C22⋊C8—22no—
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—22no—
933C22⋊C8—41no—
934C22⋊C8—41no—
935C22⋊C8—41no—
936C22⋊C8—41no—
937C22⋊C8—41no—
938C22⋊C8—41no—
939#97—22no—
940#97—41no—
941#97C2×D414yescomplemented
942C4×C8—41no—
943#95—21no—
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#95C2×D411yescharacteristic
958#95C2×D411yescharacteristic
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—42no—
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—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000#41—44no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
1004#41—816no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—42no—
1017C2×Q8—42no—
1018C2×Q8—42no—
1019C2×Q8—42no—
1020C2×Q8—42no—
1021C2×Q8—81no—
1022C2×Q8—82no—
1023C2×Q8—82no—
1024C2×Q8—82no—
1025C2×Q8—82no—
1026C2×Q8C22×D412yes—
1027C2×D4—24no—
1028C2×D4—22no—
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—41no—
1065C2×D4—41no—
1066C2×D4—41no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—41no—
1070C2×D4—41no—
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—42no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
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—81no—
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—82no—
1112C2×D4—82no—
1113C2×D4—82no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—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—81no—
1135C2×D4—81no—
1136C2×D4—816no—
1137C2×D4—816no—
1138C2×D4AGL(1,ℤ/8)14yescomplemented
1139C2×D4C22×D412yes—
1140C2×D4C22×D412yes—
1141C2×D4C22×D412yes—
1142C2×D4H(5,𝔽2)12yes—
1143C2×D4H(5,𝔽2)12yes—
1144C22×C4—22no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—22no—
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—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—22no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
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—42no—
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×C4—81no—
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×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C2511yescharacteristic
1217SD16—44no—
1218SD16—44no—
1219SD16—44no—
1220SD16—82no—
1221SD16—82no—
1222SD16—82no—
1223D8—28no—
1224D8—44no—
1225D8—44no—
1226D8—44no—
1227D8—44no—
1228D8—44no—
1229D8—82no—
1230D8—82no—
1231D8—82no—
1232M16—44no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—44no—
1256C2×C8C22×D412yes—
1257C2×C8C22×D412yes—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—81no—
1286C4⋊C4—81no—
1287C4⋊C4—81no—
1288C4⋊C4—81no—
1289C4⋊C4H(5,𝔽2)12yes—
1290C22⋊C4—24no—
1291C22⋊C4—22no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
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—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—81no—
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—
1351C42—22no—
1352C42—22no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—42no—
1360C42—42no—
1361C42—81no—
1362C42C22×D412yes—
1363C42H(5,𝔽2)12yes—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—22no—
1380C23—21no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—21no—
1385C23—22no—
1386C23—21no—
1387C23—21no—
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—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—84no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23C2×AGL(1,ℤ/8)12yes—
1454C23C2×AGL(1,ℤ/8)12yes—
1455C23C23×D411yescharacteristic
1456Q8—22no—
1457Q8—22no—
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—84no—
1465Q8—84no—
1466D4—22no—
1467D4—22no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—22no—
1473D4—22no—
1474D4—22no—
1475D4—22no—
1476D4—44no—
1477D4—44no—
1478D4—48no—
1479D4—48no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—84no—
1495D4—84no—
1496D4—82no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—162no—
1509D4—162no—
1510D4—162no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—44no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—162no—
1592C2×C4—162no—
1593C2×C4—162no—
1594C2×C4D4212yes—
1595C2×C4D4212yes—
1596C2×C4C2×AGL(1,ℤ/8)12yes—
1597C2×C4C23×D411yescharacteristic
1598C2×C4C2×H(5,𝔽2)11yescharacteristic
1599C2×C4C2×H(5,𝔽2)11yescharacteristic
1600C2×C4C2×H(5,𝔽2)11yescharacteristic
1601C2×C4C2×H(5,𝔽2)11yescharacteristic
1602C2×C4#58511yescharacteristic
1603C8—22no—
1604C8—22no—
1605C8—41no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—41no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
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—168no—
1675C22—168no—
1676C22—168no—
1677C22—168no—
1678C22C2×D4211yescharacteristic
1679C22#348411yescharacteristic
1680C22#348811yescharacteristic
1681C22C22×AGL(1,ℤ/8)11yescharacteristic
1682C22#358411yescharacteristic
1683C22#358511yescharacteristic
1684C22#358511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—42no—
1692C4—41no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—81no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4#348411yescharacteristic
1707C4#349611yescharacteristic
1708C4#354311yescharacteristic
1709C4#355811yescharacteristic
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—82no—
1714C2—82no—
1715C2—82no—
1716C2—82no—
1717C2—82no—
1718C2—161no—
1719C2#4487711yescharacteristic
1720C2D4×AGL(1,ℤ/8)11yescharacteristic
1721C2#6107411yescharacteristic
1722C2#6156911yescharacteristic
1723C2#6169011yescharacteristic
1724C2#6198911yescharacteristic
1725C2#6208811yescharacteristic
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×#3264C2semidirect
2. C2×#3213C2semidirect
3. #59131C2semidirect
4. #59035C2semidirect
5. #31064C2semidirect
6. #31058C2semidirect
7. #31008C2semidirect
8. #30985C2semidirect
9. #30607C2semidirect
10. #30603C2semidirect
11. #30412C2semidirect
12. #30399C2semidirect
13. #28610C2semidirect
14. #28430C2semidirect
15. #25898C2semidirect
16. #25763C2semidirect
17. #25376C2semidirect
18. #25334C2semidirect
19. #25164C2semidirect
20. #25160C2semidirect
21. #24366C2semidirect
22. #24355C2semidirect
23. #24256C2semidirect
24. #24236C2semidirect
25. #24215C2semidirect
26. #24152C2semidirect
27. #23866C2semidirect
28. #23848C2semidirect
29. #23708C2semidirect
30. #23195C2semidirect
31. #22143C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
34. C2×#548C22semidirect
37. C2×D42C22semidirect
38. C2×D42C22semidirect
39. C2×#532C22semidirect
40. C22×#124C22semidirect
44. C2×#496C22semidirect
45. C2×#489C22semidirect
46. C2×#489C22semidirect
47. C2×#476C22semidirect
49. C2×#465C22semidirect
51. C2×#463C22semidirect
52. C2×#463C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
55. C2×#463C22semidirect
56. C2×#463C22semidirect
57. C2×#459C22semidirect
58. C2×#459C22semidirect
59. C2×#449C22semidirect
60. C2×#448C22semidirect
61. C2×#448C22semidirect
62. C2×#448C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#442C22semidirect
74. C2×#440C22semidirect
75. C2×C4×D8C22semidirect
76. C2×#435C22semidirect
77. C2×#432C22semidirect
83. #2547C22semidirect
84. #2544C22semidirect
85. #2542C22semidirect
88. #2537C22semidirect
91. #2435C22semidirect
92. #2431C22semidirect
94. #2427C22semidirect
95. #2426C22semidirect
97. #2422C22semidirect
98. #2422C22semidirect
103. #2409C22semidirect
105. #2408C22semidirect
106. #2408C22semidirect
108. #2367C22semidirect
109. #2366C22semidirect
111. D4×C22⋊C4C22semidirect
112. D4×C22⋊C4C22semidirect
114. C4×#121C22semidirect
115. C4×#121C22semidirect
116. #2096C22semidirect
117. #2094C22semidirect
118. #2088C22semidirect
119. #2077C22semidirect
120. #2072C22semidirect
121. #2071C22semidirect
122. #2067C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2042C22semidirect
130. #2042C22semidirect
131. #2036C22semidirect
132. #2035C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2034C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
148. #2011C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1987C22semidirect
157. #1983C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1972C22semidirect
161. #1972C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1959C22semidirect
165. #1957C22semidirect
166. #1955C22semidirect
167. #1955C22semidirect
168. #1954C22semidirect
169. #1940C22semidirect
170. #1924C22semidirect
171. #1923C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1877C22semidirect
185. #1877C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1864C22semidirect
189. #1864C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1803C22semidirect
193. #1802C22semidirect
194. #1797C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1776C22semidirect
202. #1771C22semidirect
203. #1762C22semidirect
204. #1762C22semidirect
320. #496D4semidirect
645. C2×SD16C2×D4semidirect
646. C2×SD16C2×D4semidirect
694. #127C2×D4semidirect
941. #97C2×D4semidirect
1138. 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×#32642
C2×#32132
#591312
#590352
#310642
#310582
#310082
#309852
#306072
#306032
#304122
#303992
#286102
#284302
#258982
#257632
#253762
#253342
#251642
#251602
#243662
#243552
#242562
#242362
#242152
#241522
#238662
#238482
#237082
#231952
#221432