Finite Group Databasebeta

← #7522514

Subgroups — #7522514

Order 512.

2720 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3105C211yesmaximal, characteristic, complemented
3#59044C211yesmaximal, characteristic, complemented
4D4×#121C211yesmaximal, characteristic, complemented
5#31032C211yesmaximal, characteristic, complemented
6#31017C211yesmaximal, characteristic, complemented
7#30575C211yesmaximal, characteristic, complemented
8#30571C211yesmaximal, characteristic, complemented
9#28421C211yesmaximal, characteristic, complemented
10#26968C211yesmaximal, characteristic, complemented
11#26962C211yesmaximal, characteristic, complemented
12#25891C211yesmaximal, characteristic, complemented
13#25605C211yesmaximal, characteristic, complemented
14#25380C211yesmaximal, characteristic, complemented
15#25351C211yesmaximal, characteristic, complemented
16#25159C211yesmaximal, characteristic, complemented
17#25148C211yesmaximal, characteristic, complemented
18#24901C211yesmaximal, characteristic, complemented
19#24897C211yesmaximal, characteristic, complemented
20#24823C211yesmaximal, characteristic, complemented
21#24650C211yesmaximal, characteristic, complemented
22#24257C211yesmaximal, characteristic, complemented
23#24252C211yesmaximal, characteristic, complemented
24#24236C211yesmaximal, characteristic, complemented
25#23860C211yesmaximal, characteristic, complemented
26#23848C211yesmaximal, characteristic, complemented
27#23085C211yesmaximal, characteristic, complemented
28#23011C211yesmaximal, characteristic, complemented
29C22⋊C4×D8C211yesmaximal, characteristic, complemented
30#22443C211yesmaximal, characteristic, complemented
31#21452C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×D8C2211yescharacteristic
34C2×#546C2211yescharacteristic, complemented
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic, complemented
38C2×#529C2211yescharacteristic, complemented
39C22×#121—21no—
40C22×C4×D4C2211yescharacteristic, complemented
41#3264—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#490C2211yescharacteristic, complemented
44#3105—28no—
45C2×#484C2211yescharacteristic, complemented
46C2×#481C2211yescharacteristic, complemented
47C2×#478C2211yescharacteristic, complemented
48C2×#478C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#463C2211yescharacteristic
53C2×#463C2211yescharacteristic, complemented
54C2×#459C2211yescharacteristic, complemented
55C2×#459C2211yescharacteristic, complemented
56C2×#449C2211yescharacteristic, complemented
57C2×#449C2211yescharacteristic, complemented
58C2×#450C2211yescharacteristic
59C2×#450C2211yescharacteristic, complemented
60C2×#447C2211yescharacteristic
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#442C2211yescharacteristic
66C2×#442C2211yescharacteristic, complemented
67C2×#440C2211yescharacteristic, complemented
68C2×C4×SD16C2211yescharacteristic, complemented
69C2×C4×SD16C2211yescharacteristic, complemented
70C2×C4×D8C2211yescharacteristic
71C2×C4×D8C2211yescharacteristic
72C2×C4×D8C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#431C2211yescharacteristic, complemented
75#2856C2211yescharacteristic, complemented
76#2847—21no—
77#2695—21no—
78#2685—21no—
79#2566C2211yescharacteristic, complemented
80#2562C2211yescharacteristic, complemented
81#2541C2211yescharacteristic, complemented
82#2537C2211yescharacteristic
83#2537C2211yescharacteristic, complemented
84#2536C2211yescharacteristic, complemented
85#2476—21no—
86#2464—21no—
87#2457—21no—
88#2428C2211yescharacteristic
89#2428C2211yescharacteristic, complemented
90#2424—21no—
91#2424—21no—
92#2424—21no—
93#2423C2211yescharacteristic, complemented
94#2420C2211yescharacteristic, complemented
95#2418—21no—
96#2416—21no—
97#2416C2211yescharacteristic
98#2416C2211yescharacteristic, complemented
99#2410—21no—
100#2410—21no—
101#2408—21no—
102#2408C2211yescharacteristic, complemented
103#2407C2211yescharacteristic, complemented
104#2367C2211yescharacteristic, complemented
105D4×C4⋊C4C2211yescharacteristic, complemented
106#2342—21no—
107#2341C2211yescharacteristic, complemented
108D4×C22⋊C4C2211yescharacteristic
109D4×C22⋊C4C2211yescharacteristic, complemented
110D4×C22⋊C4C2211yescharacteristic, complemented
111C4×#121C2211yescharacteristic
112C4×#121C2211yescharacteristic, complemented
113#2094C2211yescharacteristic, complemented
114#2092C2211yescharacteristic, complemented
115#2085C2211yescharacteristic, complemented
116#2084C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2033C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2014C2211yescharacteristic, complemented
134#2011C2211yescharacteristic, complemented
135#2011C2211yescharacteristic, complemented
136#2011C2211yescharacteristic, complemented
137#2000C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1992C2211yescharacteristic, complemented
146#1982C2211yescharacteristic, complemented
147#1972C2211yescharacteristic, complemented
148#1970C2211yescharacteristic, complemented
149#1970C2211yescharacteristic, complemented
150#1970C2211yescharacteristic, complemented
151#1961C2211yescharacteristic, complemented
152#1959C2211yescharacteristic, complemented
153#1957C2211yescharacteristic, complemented
154#1955C2211yescharacteristic, complemented
155#1955C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1947C2211yescharacteristic, complemented
158#1940C2211yescharacteristic, complemented
159#1936C2211yescharacteristic, complemented
160#1934C2211yescharacteristic, complemented
161#1934C2211yescharacteristic, complemented
162#1933C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1893C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1870C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1863C2211yescharacteristic, complemented
185#1862C2211yescharacteristic, complemented
186#1853C2211yescharacteristic, complemented
187#1809C2211yescharacteristic, complemented
188#1808C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1802C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1788C2211yescharacteristic, complemented
193#1786C2211yescharacteristic
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1771C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4—21no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8—24no—
222C22×D8—24no—
223C22×D8—42no—
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C23×C8C2311yescharacteristic
234#546—24no—
235#546—42no—
236D42—24no—
237D42—42no—
238D42—42no—
239D42—42no—
240D42—42no—
241D42—42no—
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245#529—24no—
246#529—42no—
247C2×#126—21no—
248C2×#125C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#123—21no—
251C2×#123—21no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×#121—21no—
255C2×#121—21no—
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—48no—
269C2×#121D411yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×C4×Q8C2311yescharacteristic
288C2×C4×Q8C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4—24no—
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—42no—
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×#117—21no—
308C22×C4⋊C4—21no—
309C22×C4⋊C4C2311yescharacteristic
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C42C2311yescharacteristic
316#496—24no—
317#490—42no—
318#484—24no—
319#481—24no—
320#478—24no—
321#478—24no—
322#469—24no—
323#465—24no—
324#463—24no—
325#463D418yescomplemented
326#460—42no—
327#459—24no—
328#459—42no—
329#450—24no—
330#450—24no—
331#449—24no—
332#449—42no—
333#447—24no—
334#447—24no—
335#447—24no—
336#447—24no—
337#447—42no—
338#442—24no—
339#442—42no—
340#440—42no—
341C4×SD16—24no—
342C4×SD16—24no—
343C4×D8—24no—
344C4×D8—24no—
345C4×D8—42no—
346#435—24no—
347#431—24no—
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408#400—21no—
409#399—21no—
410#398—21no—
411#398—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#394—21no—
428#394—21no—
429#394—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#391C2311yescharacteristic
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390D411yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#389D411yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388D411yescharacteristic
463#388D411yescharacteristic
464#387—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
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#386D411yescharacteristic
479#386D411yescharacteristic
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#384C2311yescharacteristic
487#384C2311yescharacteristic
488#382C2311yescharacteristic
489#381—21no—
490#380—21no—
491#380—21no—
492#380—21no—
493#380—21no—
494#380D411yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#379—21no—
503#379—21no—
504#379—21no—
505#379—21no—
506C4×C4⋊C4C2311yescharacteristic
507C4×C4⋊C4C2311yescharacteristic
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
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—
534C25—21no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C22×Q8C2411yescharacteristic
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—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—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—44no—
587C22×D4—44no—
588C22×D4—44no—
589C22×D4—44no—
590C22×D4—44no—
591C22×D4—44no—
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
603C22×D4C2411yescharacteristic
604C23×C4—21no—
605C23×C4—21no—
606C23×C4—21no—
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—44no—
616C23×C4—44no—
617C23×C4—82no—
618C23×C4C2×D411yescharacteristic
619C23×C4C2×D411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623AGL(1,ℤ/8)—416no—
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16C2×D414yes—
636C2×D8—22no—
637C2×D8—22no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—416no—
659C2×D8C2×D414yes—
660C2×D8#4114yes—
661C2×M16—22no—
662C2×M16—22no—
663C2×M16—41no—
664C22×C8—22no—
665C22×C8—22no—
666C22×C8—41no—
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675#127—22no—
676#127—22no—
677#127—22no—
678#127—22no—
679#127—41no—
680#127—41no—
681#126—44no—
682#125—22no—
683#125—22no—
684#124—22no—
685#124C2×D414yescomplemented
686#123—44no—
687#123—44no—
688C22⋊Q8—22no—
689C22⋊Q8—22no—
690C22⋊Q8—41no—
691C22⋊Q8—41no—
692#121—24no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—44no—
701#121—44no—
702#121—41no—
703#121—41no—
704#121—41no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—44no—
714#121—44no—
715#121—44no—
716#121—44no—
717#121—44no—
718#121—44no—
719#121—44no—
720#121—44no—
721#121—44no—
722#121—82no—
723#121—82no—
724#121—82no—
725#120—44no—
726#120—44no—
727#120—44no—
728#120—44no—
729#120—44no—
730#120—44no—
731#120—44no—
732#120—82no—
733C4×Q8—22no—
734C4×Q8—41no—
735C4×Q8—41no—
736C4×Q8—41no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—22no—
748C4×D4—22no—
749C4×D4—44no—
750C4×D4—41no—
751C4×D4—41no—
752C4×D4—41no—
753C4×D4—41no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—41no—
757C4×D4—41no—
758C4×D4—41no—
759C4×D4—44no—
760C4×D4—41no—
761C4×D4—41no—
762C4×D4—44no—
763C4×D4—82no—
764C4×D4C2×D414yes—
765#117—44no—
766C2×C4⋊C4—22no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—41no—
782C2×C4⋊C4—44no—
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2×D411yescharacteristic
785C2×C4⋊C4C2×D411yescharacteristic
786C2×C4⋊C4C2×D411yescharacteristic
787C2×C4⋊C4C2×D411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
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—44no—
843C2×C22⋊C4—44no—
844C2×C22⋊C4—44no—
845C2×C22⋊C4—44no—
846C2×C22⋊C4—44no—
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
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×C42—22no—
858C2×C42—22no—
859C2×C42—21no—
860C2×C42—21no—
861C2×C42—21no—
862C2×C42C2×D411yescharacteristic
863C2×C42C2×D411yescharacteristic
864C2×C42C2411yescharacteristic
865C2×C42C2411yescharacteristic
866C2×C42C2411yescharacteristic
867C2×C42C2411yescharacteristic
868#107—22no—
869#107—22no—
870#107—41no—
871#107—41no—
872#106—22no—
873#106—22no—
874#106—22no—
875#106—41no—
876C4⋊C8—22no—
877C4⋊C8—41no—
878C4⋊C8—41no—
879C4⋊C8C2×D414yescomplemented
880#103—22no—
881#103—41no—
882#103—41no—
883#103C2×D414yescomplemented
884#102—22no—
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—41no—
898#102—41no—
899#102—41no—
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
912C22⋊C8—22no—
913C22⋊C8—22no—
914C22⋊C8—22no—
915C22⋊C8—22no—
916C22⋊C8—22no—
917C22⋊C8—41no—
918C22⋊C8—41no—
919C22⋊C8—41no—
920C22⋊C8—41no—
921C22⋊C8—41no—
922#97—22no—
923#97—22no—
924#97—41no—
925C4×C8—22no—
926C4×C8—22no—
927C4×C8—41no—
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—21no—
950C24—24no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24—81no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24C22×D411yescharacteristic
984C24C22×D411yescharacteristic
985C24C22×D411yescharacteristic
986#41—44no—
987#41—82no—
988#41—82no—
989#41—82no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8C22×D412yes—
996C2×D4—24no—
997C2×D4—22no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—22no—
1003C2×D4—21no—
1004C2×D4—21no—
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—21no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
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—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
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—42no—
1083C2×D4—42no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—816no—
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—816no—
1113C2×D4—816no—
1114C2×D4C22×D412yes—
1115C2×D4C22×D412yes—
1116C2×D4C2×#4112yes—
1117C2×D4C2×#4112yes—
1118C2×D4H(5,𝔽2)12yes—
1119C2×D4H(5,𝔽2)12yes—
1120C22×C4—22no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—24no—
1126C22×C4—22no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
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—41no—
1154C22×C4—41no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
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—81no—
1177C22×C4—81no—
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—816no—
1188C22×C4C22×D411yescharacteristic
1189C22×C4C22×D411yescharacteristic
1190C22×C4C22×D411yescharacteristic
1191C22×C4C22×D411yescharacteristic
1192C22×C4C22×D411yescharacteristic
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C2511yescharacteristic
1200SD16—28no—
1201SD16—44no—
1202SD16—44no—
1203SD16—82no—
1204D8—28no—
1205D8—28no—
1206D8—44no—
1207D8—44no—
1208D8—44no—
1209D8—44no—
1210D8—44no—
1211D8—82no—
1212M16—44no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
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—44no—
1235C2×C8C22×D412yes—
1236C2×C8C22×D412yes—
1237C2×C8C2×#4112yes—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
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—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—81no—
1270C4⋊C4—81no—
1271C4⋊C4—81no—
1272C4⋊C4—81no—
1273C4⋊C4—81no—
1274C4⋊C4C22×D412yes—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
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—81no—
1316C22⋊C4—81no—
1317C22⋊C4—81no—
1318C22⋊C4—81no—
1319C22⋊C4—81no—
1320C22⋊C4—81no—
1321C22⋊C4—81no—
1322C22⋊C4—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4AGL(1,ℤ/8)14yescomplemented
1330C42—22no—
1331C42—22no—
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—42no—
1339C42—81no—
1340C42—81no—
1341C42C22×D412yes—
1342C42H(5,𝔽2)12yes—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—22no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—22no—
1353C23—21no—
1354C23—22no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—22no—
1361C23—21no—
1362C23—22no—
1363C23—21no—
1364C23—22no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—48no—
1369C23—48no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
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—41no—
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—84no—
1407C23—84no—
1408C23—84no—
1409C23—84no—
1410C23—84no—
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—
1432C23C2×AGL(1,ℤ/8)12yes—
1433C23#57612yes—
1434C23C23×D411yescharacteristic
1435Q8—22no—
1436Q8—22no—
1437Q8—41no—
1438Q8—41no—
1439D4—22no—
1440D4—22no—
1441D4—22no—
1442D4—22no—
1443D4—22no—
1444D4—22no—
1445D4—22no—
1446D4—22no—
1447D4—22no—
1448D4—44no—
1449D4—44no—
1450D4—44no—
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—84no—
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—162no—
1482D4—162no—
1483D4—162no—
1484D4—162no—
1485D4#54614yes—
1486C2×C4—21no—
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—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—48no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
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—84no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—162no—
1569C2×C4—162no—
1570C2×C4D4212yes—
1571C2×C4D4212yes—
1572C2×C4C2×AGL(1,ℤ/8)12yes—
1573C2×C4C2×AGL(1,ℤ/8)12yes—
1574C2×C4C23×D411yescharacteristic
1575C2×C4C22×#4111yescharacteristic
1576C2×C4C2×H(5,𝔽2)11yescharacteristic
1577C2×C4C2×H(5,𝔽2)11yescharacteristic
1578C2×C4C2×H(5,𝔽2)11yescharacteristic
1579C2×C4#58511yescharacteristic
1580C8—22no—
1581C8—22no—
1582C8—22no—
1583C8—41no—
1584C8—41no—
1585C8—41no—
1586C8—41no—
1587C8—41no—
1588C22—22no—
1589C22—24no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—42no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—41no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—42no—
1609C22—42no—
1610C22—41no—
1611C22—41no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—41no—
1620C22—42no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—42no—
1625C22—816no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
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—168no—
1653C22—168no—
1654C22—168no—
1655C22C2×D4211yescharacteristic
1656C22D4×#4111yescharacteristic
1657C22#348411yescharacteristic
1658C22C22×AGL(1,ℤ/8)11yescharacteristic
1659C22C2×#57611yescharacteristic
1660C22#358411yescharacteristic
1661C22#358511yescharacteristic
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—81no—
1676C4—81no—
1677C4—81no—
1678C4—81no—
1679C4—81no—
1680C4—81no—
1681C4—81no—
1682C4—81no—
1683C4C2×#54611yescharacteristic
1684C4#348811yescharacteristic
1685C4#351911yescharacteristic
1686C4#354211yescharacteristic
1687C2—42no—
1688C2—42no—
1689C2—44no—
1690C2—81no—
1691C2—82no—
1692C2—82no—
1693C2—82no—
1694C2—161no—
1695C2—161no—
1696C2#5900411yescharacteristic
1697C2#6105611yescharacteristic
1698C2D4×AGL(1,ℤ/8)11yescharacteristic
1699C2#6143711yescharacteristic
1700C2#6151911yescharacteristic
1701C2#6159111yescharacteristic
1702C2#6167811yescharacteristic
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×#3105C2semidirect
3. #59044C2semidirect
4. D4×#121C2semidirect
5. #31032C2semidirect
6. #31017C2semidirect
7. #30575C2semidirect
8. #30571C2semidirect
9. #28421C2semidirect
10. #26968C2semidirect
11. #26962C2semidirect
12. #25891C2semidirect
13. #25605C2semidirect
14. #25380C2semidirect
15. #25351C2semidirect
16. #25159C2semidirect
17. #25148C2semidirect
18. #24901C2semidirect
19. #24897C2semidirect
20. #24823C2semidirect
21. #24650C2semidirect
22. #24257C2semidirect
23. #24252C2semidirect
24. #24236C2semidirect
25. #23860C2semidirect
26. #23848C2semidirect
27. #23085C2semidirect
28. #23011C2semidirect
29. C22⋊C4×D8C2semidirect
30. #22443C2semidirect
31. #21452C2semidirect
34. C2×#546C22semidirect
37. C2×D42C22semidirect
38. C2×#529C22semidirect
40. C22×C4×D4C22semidirect
42. C2×#496C22semidirect
43. C2×#490C22semidirect
45. C2×#484C22semidirect
46. C2×#481C22semidirect
47. C2×#478C22semidirect
48. C2×#478C22semidirect
49. C2×#469C22semidirect
50. C2×#465C22semidirect
51. C2×#460C22semidirect
53. C2×#463C22semidirect
54. C2×#459C22semidirect
55. C2×#459C22semidirect
56. C2×#449C22semidirect
57. C2×#449C22semidirect
59. C2×#450C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
66. C2×#442C22semidirect
67. C2×#440C22semidirect
68. C2×C4×SD16C22semidirect
69. C2×C4×SD16C22semidirect
72. C2×C4×D8C22semidirect
73. C2×#435C22semidirect
74. C2×#431C22semidirect
75. #2856C22semidirect
79. #2566C22semidirect
80. #2562C22semidirect
81. #2541C22semidirect
83. #2537C22semidirect
84. #2536C22semidirect
89. #2428C22semidirect
93. #2423C22semidirect
94. #2420C22semidirect
98. #2416C22semidirect
102. #2408C22semidirect
103. #2407C22semidirect
104. #2367C22semidirect
105. D4×C4⋊C4C22semidirect
107. #2341C22semidirect
109. D4×C22⋊C4C22semidirect
110. D4×C22⋊C4C22semidirect
112. C4×#121C22semidirect
113. #2094C22semidirect
114. #2092C22semidirect
115. #2085C22semidirect
116. #2084C22semidirect
117. #2077C22semidirect
118. #2076C22semidirect
119. #2067C22semidirect
120. #2065C22semidirect
121. #2055C22semidirect
122. #2054C22semidirect
123. #2035C22semidirect
124. #2034C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2033C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2014C22semidirect
134. #2011C22semidirect
135. #2011C22semidirect
136. #2011C22semidirect
137. #2000C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1992C22semidirect
146. #1982C22semidirect
147. #1972C22semidirect
148. #1970C22semidirect
149. #1970C22semidirect
150. #1970C22semidirect
151. #1961C22semidirect
152. #1959C22semidirect
153. #1957C22semidirect
154. #1955C22semidirect
155. #1955C22semidirect
156. #1954C22semidirect
157. #1947C22semidirect
158. #1940C22semidirect
159. #1936C22semidirect
160. #1934C22semidirect
161. #1934C22semidirect
162. #1933C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1895C22semidirect
166. #1893C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1877C22semidirect
179. #1874C22semidirect
180. #1870C22semidirect
181. #1869C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1863C22semidirect
185. #1862C22semidirect
186. #1853C22semidirect
187. #1809C22semidirect
188. #1808C22semidirect
189. #1804C22semidirect
190. #1802C22semidirect
191. #1802C22semidirect
192. #1788C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1771C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1749C22semidirect
325. #463D4semidirect
685. #124C2×D4semidirect
879. C4⋊C8C2×D4semidirect
883. #103C2×D4semidirect
911. #102C2×D4semidirect
1329. 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×#32642
C2×#31052
#590442
D4×#1212
#310322
#310172
#305752
#305712
#284212
#269682
#269622
#258912
#256052
#253802
#253512
#251592
#251482
#249012
#248972
#248232
#246502
#242572
#242522
#242362
#238602
#238482
#230852
#230112
C22⋊C4×D82
#224432
#214522