Finite Group Databasebeta

← Group #11779931

Character table — Group #11779931

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222222244444444444444444888888888888888888888881212121212121212121212121212242424242424242424242424243636484872144
order12223344446666661212121234666121212121212121212121212881212121212242424242424242424242424242424242288882424242424242424444668812122424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-11
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1111111-1-11-1
χ92222222-22-222222222222-22222-2-2-222222-2-2-200-2-2-2-2-200000000000000000000000000000000000000000002200-20
χ102222222-22-222222222222-22222-2-2-222222-2-2-200-2-2-2-2-20000000000000000000000000000000000000000000-2-20020
χ11222222-22-22222222-2-2-2-22-2222-2222-2-2-2-2-2-2-2200-222-2-2000000000000000022000000000000-2002200-2-20000000000
χ12222222-22-22222222-2-2-2-22-2222-2222-2-2-2-2-2-2-2200-222-2-20000000000000000-2-2000000000000200-2-200220000000000
χ13222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-22200000000000000000000000000000002-20000000000002-200
χ14222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-2220000000000000000000000000000000-22000000000000-2200
χ1522222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-10000000000
χ1622222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2001100110000000000
χ1722222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-21111111122-2-2-2-211111111200-1-100-1-10000000000
χ1822222-1222222-1-1-12-1-1-1-1-12-1-1-122-1-1-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-211111111-2-22222-1-1-1-1-1-1-1-1-2001100110000000000
χ1922222-1-22-2222-1-1-121111-1-2-1-1-1-22-1-111-21111200-2-1-11133−3−300003333−3−3−3−32200003333−3−3−3−3-200-1-100110000000000
χ2022222-1-22-2222-1-1-121111-1-2-1-1-1-22-1-111-21111200-2-1-11133−3−300003333−3−3−3−3-2-20000−3−3−3−333332001100-1-10000000000
χ2122222-1-22-2222-1-1-121111-1-2-1-1-1-22-1-111-21111200-2-1-111−3−3330000−3−3−3−33333220000−3−3−3−33333-200-1-100110000000000
χ2222222-1-22-2222-1-1-121111-1-2-1-1-1-22-1-111-21111200-2-1-111−3−3330000−3−3−3−33333-2-200003333−3−3−3−32001100-1-10000000000
χ232222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000022002200-1-1-1-100-1-100
χ242222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-200-2-2001111001100
χ252222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-21111111111110000000000000002200-2-200111100-1-100
χ262222-122222-1-1222-12222-12-1-1-1-1-122-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-2111111111111000000000000000-2-2002200-1-1-1-1001100
χ272222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-1000033−3−333−3−333−3−30000000000000002-200000033−3−300-1100
χ282222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-1000033−3−333−3−333−3−3000000000000000-22000000−3−333001-100
χ292222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000−3−333−3−333−3−3330000000000000002-2000000−3−33300-1100
χ302222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-111-2-21111122100-111-1-10000−3−333−3−333−3−333000000000000000-2200000033−3−3001-100
χ3122-2-222-20202-2-2-22-2-2-222202-2-2-2000-2-2222000000000000000000000000000022−2−222−2−222−2−200000−i2i200−i2i2−i2i22i−2i0000
χ3222-2-222-20202-2-2-22-2-2-222202-2-2-2000-2-2222000000000000000000000000000022−2−222−2−222−2−200000i2−i200i2−i2i2−i2−2i2i0000
χ3322-2-222-20202-2-2-22-2-2-222202-2-2-2000-2-22220000000000000000000000000000−2−222−2−222−2−22200000−i2i200−i2i2−i2i2−2i2i0000
χ3422-2-222-20202-2-2-22-2-2-222202-2-2-2000-2-22220000000000000000000000000000−2−222−2−222−2−22200000i2−i200i2−i2i2−i22i−2i0000
χ352-2-22220-202-222-2-2-2000020-22-20-22-200000002−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20002-200000000000000
χ362-2-22220-202-222-2-2-2000020-22-20-22-200000002−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000-2200000000000000
χ372-2-22220-202-222-2-2-2000020-22-20-22-200000002i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20002-200000000000000
χ382-2-22220-202-222-2-2-2000020-22-20-22-200000002i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000-2200000000000000
χ392-2-222-10-202-22-111-23−33−3-101-110-2-113−303−33−32−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232-2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000-11003−30000000000
χ402-2-222-10-202-22-111-23−33−3-101-110-2-113−303−33−32−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-22i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230001-100−330000000000
χ412-2-222-10-202-22-111-23−33−3-101-110-2-113−303−33−32i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232-2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000-11003−30000000000
χ422-2-222-10-202-22-111-23−33−3-101-110-2-113−303−33−32i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-22−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230001-100−330000000000
χ432-2-222-10-202-22-111-2−33−33-101-110-2-11−330−33−332−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72-2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000-1100−330000000000
χ442-2-222-10-202-22-111-2−33−33-101-110-2-11−330−33−332−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-22i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70001-1003−30000000000
χ452-2-222-10-202-22-111-2−33−33-101-110-2-11−330−33−332i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72-2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000-1100−330000000000
χ462-2-222-10-202-22-111-2−33−33-101-110-2-11−330−33−332i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-22−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70001-1003−30000000000
χ4744444-24-44-444-2-2-24-2-2-2-2-2-4-2-2-24-422-2-24-2-222-400-422220000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-444-2-2-242222-24-2-2-2-4-42222-422-2-2-400422-2-20000000000000000000000000000000000000000000000000
χ494444-244-44-4-2-2444-24444-2-4-2-2-2-22-4-4-2-2-2-2-2-4-4200222220000000000000000000000000000000000000000000000000
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χ514444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-244-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-2-4-4-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-4111-222211-211222002-1-1-1-10000000033-3-3-3-333000000000000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-4111-222211-211222002-1-1-1-100000000-3-33333-3-3000000000000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-222221-41112-2-2-2-1-12-1-122-200211-1-12323−23−230000−3−3−3−33333000000000000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-41112-2-2-2-1-12-1-122-200211-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-11100002323−23−23−3−333−3−333000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-1110000−23−23232333−3−333−3−3000000000000000000000000000000000
χ5944-4-44440-404-4-4-44-444-4-4404-4-4400044-4-4-400000000000000000000000000000000000000000000000000000000000
χ6044-4-44-240-404-422-2-4-2-222-20-2224000-2-2-4220000000000000000000000000000000066−6−6−6−6660000000000000000000
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χ6644-4-4-24-4040-22-4-442-4-444-20-222200022-2-2-2000000000000000000000000000000000000000000000−2i22i200i2−i2i2−i2000000
χ6744-4-4-24-4040-22-4-442-4-444-20-222200022-2-2-20000000000000000000000000000000000000000000002i2−2i200−i2i2−i2i2000000
χ684-44-4440000-4-4-44-44000040-4-4400000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000
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χ714-44-44-20000-4-42-22423−23−2323-2022-2000023−230−23230000000000000000000000000000−2i2i2i−2i−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ220000000000000000000
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χ804-4-44-240-4042-24-4-420000-202-22024-40000000-22i2−2i20-22002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000000
χ814-4-44-2-2040-42-2-222223−2323−2310-11-10-22-2−330−33−23232000-113−30000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ824-4-44-2-2040-42-2-222223−2323−2310-11-10-22-2−330−33−23232000-113−30000−i6i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ834-4-44-2-2040-42-2-2222−2323−232310-11-10-22-23−303−323−232000-11−330000i6−i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ844-4-44-2-2040-42-2-2222−2323−232310-11-10-22-23−303−323−232000-11−330000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ854-4-44-2-20-4042-2-222223−2323−2310-11-102-22−330−3323−23-2−2i22i201-1−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000000000000000000000000
χ864-4-44-2-20-4042-2-222223−2323−2310-11-102-22−330−3323−23-22i2−2i201-1−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000000000000000000000000
χ874-4-44-2-20-4042-2-2222−2323−232310-11-102-223−303−3−2323-2−2i22i201-13−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000000000000000000000000
χ884-4-44-2-20-4042-2-2222−2323−232310-11-102-223−303−3−2323-22i2−2i201-13−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000000000000000000000000
χ8988-8-8-4-480-80-4444-44-4-444202-2-2-4000224-2-200000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-8080-4444-4444-4-4202-2-24000-2-2-42200000000000000000000000000000000000000000000000000000000000
χ918-88-8-48000044-88-8-40000-4044-400000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40000444-44-443−43−434320-2-220000−2323023−2300000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40000444-44-4−434343−4320-2-22000023−230−232300000000000000000000000000000000000000000000000000000000000

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