Finite Group Databasebeta

← Group #11886819

Character table — Group #11886819

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1122222222222222222224444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order1223344666688881212242424243446666881212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424224422446688121224242424224466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111-1-11111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-111-1-111111-11-1-1-1
χ61111111111111-1-11111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-111-11-11-111-1-1-1-1-1-1-11-1111
χ71111111111111-1-11111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11-11-11-1-111-1-1-1-11-11-111
χ81111111111111-1-11111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-1-1111111-11-11-1-1
χ911111111111-1-11111-1-1-1-11-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-11-11-111-1-11-1
χ1011111111111-1-11111-1-1-1-11-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-111-1-1-1-1-11-11-1-111-11
χ1111111111111-1-11111-1-1-1-11-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-11111-11-1111-1-1-11
χ1211111111111-1-11111-1-1-1-11-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-111111-11-1-1-1111-1
χ1311111111111-1-1-1-111-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1111-11-11-1-11-11
χ1411111111111-1-1-1-111-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-1-111-1-1-111-11-11-111-11-1
χ1511111111111-1-1-1-111-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1111-1-1-11-111-1-111-1
χ1611111111111-1-1-1-111-1-1-1-11111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1111-1-11-11-1-111-1-11
χ172222-122-1-12-12222222222-1222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000000-1-1-1-100
χ182222-122-1-12-12222222222-1222-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000000000111100
χ192222-122-1-12-122-2-2222222-1-2-22-1-1-12-21111-2-2-2-2111111112-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100002-22-200000000000000-11-1100
χ202222-122-1-12-122-2-2222222-1-2-22-1-1-12-21111-2-2-2-2111111112-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-22-22000000000000001-11-100
χ212222-122-1-12-1-2-22222-2-2-2-2-1-2-22-1-1-1-221111-2-2-2-2111111112-1-1-1-1-1-1-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000022-2-200000000000000-1-11100
χ222222-122-1-12-1-2-22222-2-2-2-2-1-2-22-1-1-1-221111-2-2-2-2111111112-1-1-1-1-1-1-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2220000000000000011-1-100
χ232222-122-1-12-1-2-2-2-222-2-2-2-2-1222-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-2111111111111-2-2-2-211111111111100002-2-2200000000000000-111-100
χ242222-122-1-12-1-2-2-2-222-2-2-2-2-1222-1-1-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-2111111111111-2-2-2-21111111111110000-222-2000000000000001-1-1100
χ25222-122222-122222-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-122-1-1-1-1-1-10000000000
χ26222-122222-122222-1-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2000011-2-21111110000000000
χ27222-122222-1222-2-2-1-1-1-1-1-1-1-2-2-1-1-1-12-2-2-2-2-2111111111111-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112-22-20000-112-2-11-1-1110000000000
χ28222-122222-1222-2-2-1-1-1-1-1-1-1-2-2-1-1-1-12-2-2-2-2-2111111111111-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-22-2200001-1-221-111-1-10000000000
χ29222-122222-12-2-222-1-11111-1-2-2-1-1-1-1-22-2-2-2-2111111111111-122-1-1-1-111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-2-2-1-111110000000000
χ30222-122222-12-2-222-1-11111-1-2-2-1-1-1-1-22-2-2-2-2111111111111-122-1-1-1-111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000112211-1-1-1-10000000000
χ31222-122222-12-2-2-2-2-1-11111-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-2111111111111-2-2-2-2111111112-22-20000-11-22-1111-1-10000000000
χ32222-122222-12-2-2-2-2-1-11111-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-2111111111111-2-2-2-211111111-22-2200001-12-21-1-1-1110000000000
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χ3722-222-22-2-2220022-2-20000200-22-2-20-200000000000000002-22-2-2220000000000000022-2-222-2-22222-2-2-2-222-2-200002200-2-200000000000000
χ3822-222-22-2-2220022-2-20000200-22-2-20-200000000000000002-22-2-2220000000000000022-2-222-2-22222-2-2-2-2-2-2220000-2-2002200000000000000
χ3922-222-22-2-22200-2-2-2-20000200-22-2-20200000000000000002-22-2-22200000000000000-2-222-2-222-2-2-2-222222-2-2200002-200-2200000000000000
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χ4122-2-12-22-2-2-1200221133−3−3-1001-1110-2000033−3−33333−3−3−3−3-1-2211-1-13−3000033−3−333−3−3-1-11122-2-2-1-1-1-1111122-2-20000-1-100113−33−30000000000
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χ4322-2-12-22-2-2-12002211−3−333-1001-1110-20000−3−333−3−3−3−33333-1-2211-1-1−330000−3−333−3−333-1-11122-2-2-1-1-1-1111122-2-20000-1-10011−33−330000000000
χ4422-2-12-22-2-2-12002211−3−333-1001-1110-20000−3−333−3−3−3−33333-1-2211-1-1−330000−3−333−3−333-1-11122-2-2-1-1-1-11111-2-22200001100-1-13−33−30000000000
χ4522-2-12-22-2-2-1200-2-21133−3−3-1001-111020000−3−333−3−3−3−33333-1-2211-1-13−3000033−3−333−3−311-1-1-2-2221111-1-1-1-12-2-220000-11001-13−3−330000000000
χ4622-2-12-22-2-2-1200-2-21133−3−3-1001-111020000−3−333−3−3−3−33333-1-2211-1-13−3000033−3−333−3−311-1-1-2-2221111-1-1-1-1-222-200001-100-11−333−30000000000
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χ4822-2-12-22-2-2-1200-2-211−3−333-1001-11102000033−3−33333−3−3−3−3-1-2211-1-1−330000−3−333−3−33311-1-1-2-2221111-1-1-1-1-222-200001-100-113−3−330000000000
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χ1084-40-2-2002i3−2i3222i2−2i222−2223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ231−2i2i0-1−i3i300−2ζ222ζ22−2ζ142ζ14ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−2ζ4−ζ20+ζ222ζ4+ζ20−ζ22ζ4+ζ14+2ζ20−ζ4−ζ14−2ζ202ζ4+ζ20+ζ22−2ζ4−ζ20−ζ22−ζ4+ζ14−2ζ20ζ4−ζ14+2ζ20000−33−3i3i00−i2i26−6ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−226−6−22−i6i6−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ130000000000000000000000000000
χ1094-40-2-2002i3−2i3222i2−2i222−22−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71−2i2i0-1−i3i300−2ζ222ζ22−2ζ142ζ14−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ222ζ4+ζ20+ζ22−2ζ4−ζ20−ζ22−ζ4+ζ14−2ζ20ζ4−ζ14+2ζ20−2ζ4−ζ20+ζ222ζ4+ζ20−ζ22ζ4+ζ14+2ζ20−ζ4−ζ14−2ζ200003−33i−3i00−i2i26−6ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−22−66−22−i6i6ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ230000000000000000000000000000
χ1104-40-2-2002i3−2i3222i2−2i2−222223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ2312i−2i0-1−i3i3002ζ22−2ζ222ζ14−2ζ14−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ222ζ4+ζ20−ζ22−2ζ4−ζ20+ζ22−ζ4−ζ14−2ζ20ζ4+ζ14+2ζ20−2ζ4−ζ20−ζ222ζ4+ζ20+ζ22ζ4−ζ14+2ζ20−ζ4+ζ14−2ζ20000−33−3i3i00−i2i26−6ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232−2−662−2i6−i62ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ130000000000000000000000000000
χ1114-40-2-2002i3−2i3222i2−2i2−2222−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ712i−2i0-1−i3i3002ζ22−2ζ222ζ14−2ζ14ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−2ζ4−ζ20−ζ222ζ4+ζ20+ζ22ζ4−ζ14+2ζ20−ζ4+ζ14−2ζ202ζ4+ζ20−ζ22−2ζ4−ζ20+ζ22−ζ4−ζ14−2ζ20ζ4+ζ14+2ζ200003−33i−3i00−i2i26−6ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232−26−62−2i6−i6−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ230000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.