Finite Group Databasebeta

← Group #11868372

Character table — Group #11868372

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222244444444446688888121212121224222244444488888888881212161616161624242424244833336666661212121212121212121218182424242424363636363672
order1222344666448812122424242444412121212224884366631212666121224241212242424241212121212121266122424122222644666448812122424242444412121212224884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111-1-11111111111-1-1-1-1-1-1-1111-11111111111-1-11111111111-1-1-1-1-1-1-1111-11111111111-1-11111111111-1-1-1-1-1-1-1111-1
χ61111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111111111-1-111111111-1-1-1-1-1-1-111-1-1-11
χ71111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-1
χ922222-2-22220000-2-20000220000000-200022222-2-22220000-2-20000220000000-200022222-2-22220000-2-20000220000000-2000
χ1022222-2-22220000-2-20000-2-20000000200022222-2-22220000-2-20000-2-20000000200022222-2-22220000-2-20000-2-200000002000
χ112222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000
χ122222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-111000000
χ132222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000
χ142222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000
χ1522-2-222-2-22-200002-2000000000002-2000022-2-222-2-22-200002-2000000000002-2000022-2-222-2-22-200002-2000000000002-20000
χ1622-2-222-2-22-200002-200000000000-22000022-2-222-2-22-200002-200000000000-22000022-2-222-2-22-200002-200000000000-220000
χ1722-2-22-22-22-22i−2i00-2200000002i−2i0000000022-2-22-22-22-22i−2i00-2200000002i−2i0000000022-2-22-22-22-22i−2i00-2200000002i−2i00000000
χ1822-2-22-22-22-2−2i2i00-220000000−2i2i0000000022-2-22-22-22-2−2i2i00-220000000−2i2i0000000022-2-22-22-22-2−2i2i00-220000000−2i2i00000000
χ1922-2-2-1-221-112i−2i001-1−i3−i3i3i3000−ii3−300000022-2-2-1-221-112i−2i001-1−i3−i3i3i3000−ii3−300000022-2-2-1-221-112i−2i001-1−i3−i3i3i3000−ii3−3000000
χ2022-2-2-1-221-112i−2i001-1i3i3−i3−i3000−ii−3300000022-2-2-1-221-112i−2i001-1i3i3−i3−i3000−ii−3300000022-2-2-1-221-112i−2i001-1i3i3−i3−i3000−ii−33000000
χ2122-2-2-1-221-11−2i2i001-1−i3−i3i3i3000i−i−3300000022-2-2-1-221-11−2i2i001-1−i3−i3i3i3000i−i−3300000022-2-2-1-221-11−2i2i001-1−i3−i3i3i3000i−i−33000000
χ2222-2-2-1-221-11−2i2i001-1i3i3−i3−i3000i−i3−300000022-2-2-1-221-11−2i2i001-1i3i3−i3−i3000i−i3−300000022-2-2-1-221-11−2i2i001-1i3i3−i3−i3000i−i3−3000000
χ232-2-222002-2-2002−2002−22−22i−2i00000000−i2i202-2-222002-2-2002−2002−22−22i−2i00000000−i2i202-2-222002-2-2002−2002−22−22i−2i00000000−i2i20
χ242-2-222002-2-2002−2002−22−2−2i2i00000000i2−i202-2-222002-2-2002−2002−22−2−2i2i00000000i2−i202-2-222002-2-2002−2002−22−2−2i2i00000000i2−i20
χ252-2-222002-2-200−2200−22−222i−2i00000000i2−i202-2-222002-2-200−2200−22−222i−2i00000000i2−i202-2-222002-2-200−2200−22−222i−2i00000000i2−i20
χ262-2-222002-2-200−2200−22−22−2i2i00000000−i2i202-2-222002-2-200−2200−22−22−2i2i00000000−i2i202-2-222002-2-200−2200−22−22−2i2i00000000−i2i20
χ274444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000
χ2844-4-4-24-42-220000-220000000000000000044-4-4-24-42-220000-220000000000000000044-4-4-24-42-220000-2200000000000000000
χ294-44-4400-4-44000000000000000000000004-44-4400-4-44000000000000000000000004-44-4400-4-4400000000000000000000000
χ304-44-4-20022-2000000i6−i6−i6i600000000000004-44-4-20022-2000000i6−i6−i6i600000000000004-44-4-20022-2000000i6−i6−i6i60000000000000
χ314-44-4-20022-2000000−i6i6i6−i600000000000004-44-4-20022-2000000−i6i6i6−i600000000000004-44-4-20022-2000000−i6i6i6−i60000000000000
χ324-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−220000000000000
χ334-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−20000000000000
χ34111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ36111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-1111
χ37111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111111-1-1-1
χ381111111111-1-11111111111-1-1-1-1-1-1-1111-11111111111-1-11111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11
χ391111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111111111-1-111111111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1111-1
χ401111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-111-1
χ411111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-1-1-11-1-11
χ4222222-2-22220000-2-20000220000000-200022222-2-22220000-2-20000220000000-2000-2-2-2-2-222-2-2-20000220000-2-200000002000
χ4322222-2-22220000-2-20000-2-20000000200022222-2-22220000-2-20000-2-200000002000-2-2-2-2-222-2-2-20000220000220000000-2000
χ442222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000-2-2-2-21-2-2111-2-2-2-211111100-21111000000
χ452222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-111000000-2-2-2-21-2-2111-2-22211-1-1-1-100211-1-1000000
χ462222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000-2-2-2-21-2-211122-2-2111111002-1-1-1-1000000
χ472222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000-2-2-2-21-2-2111222211-1-1-1-100-2-1-111000000
χ4822-2-222-2-22-200002-2000000000002-2000022-2-222-2-22-200002-2000000000002-20000-2-222-2-222-220000-2200000000000-220000
χ4922-2-222-2-22-200002-200000000000-22000022-2-222-2-22-200002-200000000000-220000-2-222-2-222-220000-22000000000002-20000
χ5022-2-22-22-22-22i−2i00-2200000002i−2i0000000022-2-22-22-22-22i−2i00-2200000002i−2i00000000-2-222-22-22-22−2i2i002-20000000−2i2i00000000
χ5122-2-22-22-22-2−2i2i00-220000000−2i2i0000000022-2-22-22-22-2−2i2i00-220000000−2i2i00000000-2-222-22-22-222i−2i002-200000002i−2i00000000
χ5222-2-2-1-221-112i−2i001-1−i3−i3i3i3000−ii3−300000022-2-2-1-221-112i−2i001-1−i3−i3i3i3000−ii3−3000000-2-22212-2-11-1−2i2i00-11i3i3−i3−i3000i−i−33000000
χ5322-2-2-1-221-112i−2i001-1i3i3−i3−i3000−ii−3300000022-2-2-1-221-112i−2i001-1i3i3−i3−i3000−ii−33000000-2-22212-2-11-1−2i2i00-11−i3−i3i3i3000i−i3−3000000
χ5422-2-2-1-221-11−2i2i001-1−i3−i3i3i3000i−i−3300000022-2-2-1-221-11−2i2i001-1−i3−i3i3i3000i−i−33000000-2-22212-2-11-12i−2i00-11i3i3−i3−i3000−ii3−3000000
χ5522-2-2-1-221-11−2i2i001-1i3i3−i3−i3000i−i3−300000022-2-2-1-221-11−2i2i001-1i3i3−i3−i3000i−i3−3000000-2-22212-2-11-12i−2i00-11−i3−i3i3i3000−ii−33000000
χ562-2-222002-2-2002−2002−22−22i−2i00000000−i2i202-2-222002-2-2002−2002−22−22i−2i00000000−i2i20-222-2-200-22200−2200−22−22−2i2i00000000i2−i20
χ572-2-222002-2-2002−2002−22−2−2i2i00000000i2−i202-2-222002-2-2002−2002−22−2−2i2i00000000i2−i20-222-2-200-22200−2200−22−222i−2i00000000−i2i20
χ582-2-222002-2-200−2200−22−222i−2i00000000i2−i202-2-222002-2-200−2200−22−222i−2i00000000i2−i20-222-2-200-222002−2002−22−2−2i2i00000000−i2i20
χ592-2-222002-2-200−2200−22−22−2i2i00000000−i2i202-2-222002-2-200−2200−22−22−2i2i00000000−i2i20-222-2-200-222002−2002−22−22i−2i00000000i2−i20
χ604444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000-4-4-4-42442220000-2-200000000000000000
χ6144-4-4-24-42-220000-220000000000000000044-4-4-24-42-220000-2200000000000000000-4-4442-44-22-200002-200000000000000000
χ624-44-4400-4-44000000000000000000000004-44-4400-4-4400000000000000000000000-44-44-40044-400000000000000000000000
χ634-44-4-20022-2000000i6−i6−i6i600000000000004-44-4-20022-2000000i6−i6−i6i60000000000000-44-44200-2-22000000−i6i6i6−i60000000000000
χ644-44-4-20022-2000000−i6i6i6−i600000000000004-44-4-20022-2000000−i6i6i6−i60000000000000-44-44200-2-22000000i6−i6−i6i60000000000000
χ654-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−220000000000000-444-42002-2-200−2222002−22−20000000000000
χ664-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−20000000000000-444-42002-2-20022−2200−22−220000000000000
χ67222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ6822222222222222222222-2-222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111000000000000000000000000000000000
χ69222222222222-2-222-2-2-2-222-222-2-2222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-1111000000000000000000000000000000000
χ70222222222222-2-222-2-2-2-2-2-2-222-2-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111111-1-1-1000000000000000000000000000000000
χ712222222222-2-22222222222-2-2-2-2-2-2-2222-2-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11000000000000000000000000000000000
χ722222222222-2-222222222-2-2-2-2-2-2-222-2-2-22-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1111-1000000000000000000000000000000000
χ732222222222-2-2-2-222-2-2-2-2222-2-222-2-22-2-22-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-111-1000000000000000000000000000000000
χ742222222222-2-2-2-222-2-2-2-2-2-22-2-22222-222-2-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-1-1-11-1-11000000000000000000000000000000000
χ7544444-4-44440000-4-40000440000000-4000-2-2-2-2-222-2-2-20000220000-2-200000002000000000000000000000000000000000000
χ7644444-4-44440000-4-40000-4-400000004000-2-2-2-2-222-2-2-20000220000220000000-2000000000000000000000000000000000000
χ774444-244-2-2-24444-2-2-2-2-2-2004-2-2-2-2000000-2-2-2-21-2-2111-2-2-2-211111100-21111000000000000000000000000000000000000000
χ784444-244-2-2-244-4-4-2-2222200-4-2-222000000-2-2-2-21-2-2111-2-22211-1-1-1-100211-1-1000000000000000000000000000000000000000
χ794444-244-2-2-2-4-444-2-2-2-2-2-200-42222000000-2-2-2-21-2-211122-2-2111111002-1-1-1-1000000000000000000000000000000000000000
χ804444-244-2-2-2-4-4-4-4-2-2222200422-2-2000000-2-2-2-21-2-2111222211-1-1-1-100-2-1-111000000000000000000000000000000000000000
χ8144-4-444-4-44-400004-4000000000004-40000-2-222-2-222-220000-2200000000000-220000000000000000000000000000000000000
χ8244-4-444-4-44-400004-400000000000-440000-2-222-2-222-220000-22000000000002-20000000000000000000000000000000000000
χ8344-4-44-44-44-44i−4i00-4400000004i−4i00000000-2-222-22-22-22−2i2i002-20000000−2i2i00000000000000000000000000000000000000000
χ8444-4-44-44-44-4−4i4i00-440000000−4i4i00000000-2-222-22-22-222i−2i002-200000002i−2i00000000000000000000000000000000000000000
χ8544-4-4-2-442-224i−4i002-2−2i3−2i32i32i3000−2i2i23−23000000-2-22212-2-11-1−2i2i00-11i3i3−i3−i3000i−i−33000000000000000000000000000000000000000
χ8644-4-4-2-442-224i−4i002-22i32i3−2i3−2i3000−2i2i−2323000000-2-22212-2-11-1−2i2i00-11−i3−i3i3i3000i−i3−3000000000000000000000000000000000000000
χ8744-4-4-2-442-22−4i4i002-2−2i3−2i32i32i30002i−2i−2323000000-2-22212-2-11-12i−2i00-11i3i3−i3−i3000−ii3−3000000000000000000000000000000000000000
χ8844-4-4-2-442-22−4i4i002-22i32i3−2i3−2i30002i−2i23−23000000-2-22212-2-11-12i−2i00-11−i3−i3i3i3000−ii−33000000000000000000000000000000000000000
χ894-4-444004-4-40022−220022−2222−224i−4i00000000−2i22i20-222-2-200-22200−2200−22−22−2i2i00000000i2−i20000000000000000000000000000000000
χ904-4-444004-4-40022−220022−2222−22−4i4i000000002i2−2i20-222-2-200-22200−2200−22−222i−2i00000000−i2i20000000000000000000000000000000000
χ914-4-444004-4-400−222200−2222−22224i−4i000000002i2−2i20-222-2-200-222002−2002−22−2−2i2i00000000−i2i20000000000000000000000000000000000
χ924-4-444004-4-400−222200−2222−2222−4i4i00000000−2i22i20-222-2-200-222002−2002−22−22i−2i00000000i2−i20000000000000000000000000000000000
χ938888-4-8-8-4-4-400004400000000000000000-4-4-4-42442220000-2-200000000000000000000000000000000000000000000000000
χ9488-8-8-48-84-440000-4400000000000000000-4-4442-44-22-200002-200000000000000000000000000000000000000000000000000
χ958-88-8800-8-8800000000000000000000000-44-44-40044-400000000000000000000000000000000000000000000000000000000
χ968-88-8-40044-40000002i6−2i6−2i62i60000000000000-44-44200-2-22000000−i6i6i6−i60000000000000000000000000000000000000000000000
χ978-88-8-40044-4000000−2i62i62i6−2i60000000000000-44-44200-2-22000000i6−i6−i6i60000000000000000000000000000000000000000000000
χ988-8-88-400-4440042−4200−2222−22220000000000000-444-42002-2-200−2222002−22−20000000000000000000000000000000000000000000000
χ998-8-88-400-44400−42420022−2222−220000000000000-444-42002-2-20022−2200−22−220000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).