Finite Group Databasebeta

← Group #10896444

Character table — Group #10896444

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222222222224444444444444444444444444444444444444488881212121216161616161616161616242424242424242424244848
order124422234446668888121212124444668888881212121212121212121224242424242424242424242424242424224488886688121224242424444488888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1
χ911111111111111-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111-11-11-111-1-1-1-1-1-11111-1-11-1
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-11-11-111-1-11111-1-1-1-111-11
χ1111111111111111-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-11-11-11-1-111-1-1-1-111-1-111-11
χ1211111111111111-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11-11-11-1-1111111-1-111-1-11-1
χ1311111111111111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-111111-1-111-1-1-111-1-111-1-111-1-1-11
χ1411111111111111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-11-1-111-1-1-11111-1-111-1-1111-1
χ1511111111111111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-111111-111-1-1111-1-1-1-111-1-1-1-1111-1
χ1611111111111111-1-1-1-11111-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1111-1-111-1-11111-1-1-11
χ172222222-1222-1-1-12222-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-122-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-12222-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011-2-2111111000000000000
χ192222222-1222-1-1-12222-1-1-1-1-2-2-2-2-1-1-2-2-2-222-111111111-111111111-1-1-1-1-1-1-1-122220000-1-1-2-2-1-11111000000000000
χ202222222-1222-1-1-12222-1-1-1-1-2-2-2-2-1-1-2-2-2-222-111111111-111111111-1-1-1-1-1-1-1-1-2-2-2-20000112211-1-1-1-1000000000000
χ212222222-1222-1-1-1-2-2-2-2-1-1-1-12222-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111111112-22-20000-112-2-11-1-111000000000000
χ222222222-1222-1-1-1-2-2-2-2-1-1-1-12222-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111111111-22-2200001-1-221-111-1-1000000000000
χ232222222-1222-1-1-1-2-2-2-2-1-1-1-1-2-2-2-2-1-12222-2-2-111111111-1-1-1-1-1-1-1-1-1111111112-22-20000-11-22-1111-1-1000000000000
χ242222222-1222-1-1-1-2-2-2-2-1-1-1-1-2-2-2-2-1-12222-2-2-111111111-1-1-1-1-1-1-1-1-111111111-22-2200001-12-21-1-1-111000000000000
χ252222-2-222-22-2-2-22222222-2-20000-220000-2-2-2000000002000000002222-2-2-2-2000022-2-200000000002-20000000000
χ262222-2-222-22-2-2-22222222-2-20000-220000-2-2-2000000002000000002222-2-2-2-20000-2-2220000000000-220000000000
χ272222-2-222-22-2-2-22-2-2-2-222-2-20000-22000022-200000000200000000-2-2-2-22222000022-2-20000000000-220000000000
χ282222-2-222-22-2-2-22-2-2-2-222-2-20000-22000022-200000000200000000-2-2-2-222220000-2-22200000000002-20000000000
χ2922-2-22222-2-2-22220000-2-2-2-20000222i2i−2i−2i00-200000000-22i2i2i2i−2i−2i−2i−2i0000000000002i−2i2i−2i0000000000002-200000000
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χ3222-2-22222-2-2-22220000-2-2-2-2000022−2i−2i2i2i00-200000000-2−2i−2i−2i−2i2i2i2i2i000000000000−2i2i−2i2i0000000000002-200000000
χ3322-2-22-2-2222-222222-2-2-2-2-2-20000-2-200002-220000000020000000022-2-222-2-222-2-200002200-2-20000000000000000
χ3422-2-22-2-2222-222222-2-2-2-2-2-20000-2-200002-220000000020000000022-2-222-2-2-2-2220000-2-200220000000000000000
χ3522-2-22-2-2222-2222-2-222-2-2-2-20000-2-20000-22200000000200000000-2-222-2-2222-2-2200002-200-220000000000000000
χ3622-2-22-2-2222-2222-2-222-2-2-2-20000-2-20000-22200000000200000000-2-222-2-222-222-20000-22002-20000000000000000
χ3722-2-22-2-2-122-2-1-1-122-2-2111100001100002-2-13333−3−3−3−3-133−3−333−3−3-1-111-1-11122-2-20000-1-100113−33−3000000000000
χ3822-2-22-2-2-122-2-1-1-122-2-2111100001100002-2-13333−3−3−3−3-133−3−333−3−3-1-111-1-111-2-22200001100-1-1−33−33000000000000
χ3922-2-22-2-2-122-2-1-1-122-2-2111100001100002-2-1−3−3−3−33333-1−3−333−3−333-1-111-1-11122-2-20000-1-10011−33−33000000000000
χ4022-2-22-2-2-122-2-1-1-122-2-2111100001100002-2-1−3−3−3−33333-1−3−333−3−333-1-111-1-111-2-22200001100-1-13−33−3000000000000
χ4122-2-22-2-2-122-2-1-1-1-2-22211110000110000-22-13333−3−3−3−3-1−3−333−3−33311-1-111-1-12-2-220000-11001-13−3−33000000000000
χ4222-2-22-2-2-122-2-1-1-1-2-22211110000110000-22-13333−3−3−3−3-1−3−333−3−33311-1-111-1-1-222-200001-100-11−333−3000000000000
χ4322-2-22-2-2-122-2-1-1-1-2-22211110000110000-22-1−3−3−3−33333-133−3−333−3−311-1-111-1-12-2-220000-11001-1−333−3000000000000
χ4422-2-22-2-2-122-2-1-1-1-2-22211110000110000-22-1−3−3−3−33333-133−3−333−3−311-1-111-1-1-222-200001-100-113−3−33000000000000
χ4522-2-2-22-22-222-2-2222-2-2-2-22200002-20000-22-20000000020000000022-2-2-2-2220000000000000000000000002i−2i2i−2i00
χ4622-2-2-22-22-222-2-2222-2-2-2-22200002-20000-22-20000000020000000022-2-2-2-222000000000000000000000000−2i2i−2i2i00
χ4722-2-2-22-22-222-2-22-2-222-2-22200002-200002-2-200000000200000000-2-22222-2-20000000000000000000000002i−2i−2i2i00
χ4822-2-2-22-22-222-2-22-2-222-2-22200002-200002-2-200000000200000000-2-22222-2-2000000000000000000000000−2i2i2i−2i00
χ4922-2-2-2-2222-22-2-220000-2-22222-2-2-22000000222-2-222-2-2-2000000000000000000002i−2i−2i2i000000000000002i−2i000000
χ5022-2-2-2-2222-22-2-220000-2-22222-2-2-22000000222-2-222-2-2-200000000000000000000−2i2i2i−2i00000000000000−2i2i000000
χ5122-2-2-2-2222-22-2-220000-2-222-2-222-220000002-2-222-2-222-2000000000000000000002i−2i−2i2i00000000000000−2i2i000000
χ5222-2-2-2-2222-22-2-220000-2-222-2-222-220000002-2-222-2-222-200000000000000000000−2i2i2i−2i000000000000002i−2i000000
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χ564444-44-444-4-4-4-44000044-4-400004-4000000400000000-40000000000000000000000000000000000000000000000
χ574444-44-4-24-4-422-20000-2-2220000-22000000-22323−23−23−23−23232320000000000000000000000000000000000000000000000
χ584444-44-4-24-4-422-20000-2-2220000-22000000-2−23−2323232323−23−2320000000000000000000000000000000000000000000000
χ594444-4-44-2-44-422-24444-2-22200002-20000-4-4200000000-200000000-2-2-2-22222000000000000000000000000000000
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χ6244-4-4444-2-4-4-4-2-2-2000022220000-2-2−4i−4i4i4i0020000000022i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000
χ6344-4-4-44-4-2-44422-244-4-422-2-20000-220000-44200000000-200000000-2-22222-2-2000000000000000000000000000000
χ6444-4-4-44-4-2-44422-2-4-44422-2-20000-2200004-4200000000-20000000022-2-2-2-222000000000000000000000000000000
χ6544-4-4-4-44-24-4422-2000022-2-244-4-42-2000000-2-2-222-2-22220000000000000000000000000000000000000000000000
χ6644-4-4-4-44-24-4422-2000022-2-2-4-4442-2000000-222-2-222-2-220000000000000000000000000000000000000000000000
χ674-44i−4i000400000-422−22−2i22i24i−4i002-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130002-22i−2i2-22i−2i02ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1322−22−2i22i20000000000000000000000000000000000
χ684-44i−4i000400000-422−22−2i22i24i−4i00-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000-22−2i2i-22−2i2i0−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1322−22−2i22i20000000000000000000000000000000000
χ694-44i−4i000400000-4−22222i2−2i24i−4i002-22i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130002-22i−2i2-22i−2i0−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−22222i2−2i20000000000000000000000000000000000
χ704-44i−4i000400000-4−22222i2−2i24i−4i00-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000-22−2i2i-22−2i2i02ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−22222i2−2i20000000000000000000000000000000000
χ714-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000−1+31−3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−1−31+3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ220−2ζ72ζ7−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−22i2−i2i6−i66−6000000000000000000000000000000
χ724-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−23-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130001−3−1+3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ221+3−1−3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2202ζ7−2ζ72ζ23−2ζ23−2ζ52ζ5−2ζ132ζ13−22i2−i2i6−i66−6000000000000000000000000000000
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χ754-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000−1−31+3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−1+31−3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ220−2ζ232ζ23−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−22i2−i2−i6i6−66000000000000000000000000000000
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χ794-4−4i4i000400000-422−222i2−2i2−4i4i002-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230002-2−2i2i2-2−2i2i0−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2322−222i2−2i20000000000000000000000000000000000
χ804-4−4i4i000400000-422−222i2−2i2−4i4i00-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000-222i−2i-222i−2i02ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2322−222i2−2i20000000000000000000000000000000000
χ814-4−4i4i000400000-4−2222−2i22i2−4i4i002-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230002-2−2i2i2-2−2i2i02ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2222−2i22i20000000000000000000000000000000000
χ824-4−4i4i000400000-4−2222−2i22i2−4i4i00-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000-222i−2i-222i−2i0−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2222−2i22i20000000000000000000000000000000000
χ834-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000−1−31+3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−1+31−3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2202ζ13−2ζ132ζ5−2ζ5−2ζ232ζ23−2ζ72ζ7−22−i2i2i6−i6−66000000000000000000000000000000
χ844-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−2323-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230001+3−1−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ221−3−1+3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ220−2ζ132ζ13−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−22−i2i2i6−i6−66000000000000000000000000000000
χ854-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−23232-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000−1−31+3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−1+31−3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ220−2ζ132ζ13−2ζ52ζ52ζ23−2ζ232ζ7−2ζ72−2i2−i2−i6i66−6000000000000000000000000000000
χ864-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230001+3−1−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ221−3−1+3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2202ζ13−2ζ132ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72−2i2−i2−i6i66−6000000000000000000000000000000
χ874-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000−1+31−3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−1−31+3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2202ζ5−2ζ52ζ13−2ζ13−2ζ72ζ7−2ζ232ζ23−22−i2i2−i6i66−6000000000000000000000000000000
χ884-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−23-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230001−3−1+3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ221+3−1−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ220−2ζ52ζ5−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−22−i2i2−i6i66−6000000000000000000000000000000
χ894-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−232-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000−1+31−3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−1−31+3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ220−2ζ52ζ5−2ζ132ζ132ζ7−2ζ72ζ23−2ζ232−2i2−i2i6−i6−66000000000000000000000000000000
χ904-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230001−3−1+3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ221+3−1−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2202ζ5−2ζ52ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232−2i2−i2i6−i6−66000000000000000000000000000000

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