Finite Group Databasebeta

← Group #11865563

Character table — Group #11865563

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222244444444446688888121212121224222244444488888888881212161616161624242424244833336666661212121212121212121218182424242424363636363672
order122234466644881212242424244426612122248843666312126661212242412122424242412126661212661224241222226446664488121224242424442661212224884
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
χ3111111111111-1-111-1-1-1-111-1-1-111111-1-1-1111111111111-1-111-1-1-1-111-1-1-111111-1-1-1111111111111-1-111-1-1-1-111-1-1-111111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111
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
χ71111111111-1-1-1-111-1-1-1-111111-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-11-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1111-1-111-111-11111111111-1-1-1-111-1-1-1-1-1-1111-1-111-111-11111111111-1-1-1-111-1-1-1-1-1-1111-1-111-111-1
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
χ122222-122-1-1-122-2-2-1-1111100-211-1-10000002222-122-1-1-122-2-2-1-1111100-211-1-10000002222-122-1-1-122-2-2-1-1111100-211-1-1000000
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
χ142222-122-1-1-1-2-2-2-2-1-11111002-1-1110000002222-122-1-1-1-2-2-2-2-1-11111002-1-1110000002222-122-1-1-1-2-2-2-2-1-11111002-1-111000000
χ1522-2-22002-2-200−i2i200−i2−i2i2i22i−2i000000002−2022-2-22002-2-200−i2i200−i2−i2i2i22i−2i000000002−2022-2-22002-2-200−i2i200−i2−i2i2i22i−2i000000002−20
χ1622-2-22002-2-200−i2i200−i2−i2i2i2−2i2i00000000−22022-2-22002-2-200−i2i200−i2−i2i2i2−2i2i00000000−22022-2-22002-2-200−i2i200−i2−i2i2i2−2i2i00000000−220
χ1722-2-22002-2-200i2−i200i2i2−i2−i22i−2i00000000−22022-2-22002-2-200i2−i200i2i2−i2−i22i−2i00000000−22022-2-22002-2-200i2−i200i2i2−i2−i22i−2i00000000−220
χ1822-2-22002-2-200i2−i200i2i2−i2−i2−2i2i000000002−2022-2-22002-2-200i2−i200i2i2−i2−i2−2i2i000000002−2022-2-22002-2-200i2−i200i2i2−i2−i2−2i2i000000002−20
χ192-2-2222-2-22-22i−2i002-20000000002i−2i0000002-2-2222-2-22-22i−2i002-20000000002i−2i0000002-2-2222-2-22-22i−2i002-20000000002i−2i000000
χ202-2-2222-2-22-2−2i2i002-2000000000−2i2i0000002-2-2222-2-22-2−2i2i002-2000000000−2i2i0000002-2-2222-2-22-2−2i2i002-2000000000−2i2i000000
χ212-2-222-22-22-20000-22000000000002-200002-2-222-22-22-20000-22000000000002-200002-2-222-22-22-20000-22000000000002-20000
χ222-2-222-22-22-20000-2200000000000-2200002-2-222-22-22-20000-2200000000000-2200002-2-222-22-22-20000-2200000000000-220000
χ232-2-22-12-21-112i−2i00-113−33−3000−i3i3−ii0000002-2-22-12-21-112i−2i00-113−33−3000−i3i3−ii0000002-2-22-12-21-112i−2i00-113−33−3000−i3i3−ii000000
χ242-2-22-12-21-112i−2i00-11−33−33000i3−i3−ii0000002-2-22-12-21-112i−2i00-11−33−33000i3−i3−ii0000002-2-22-12-21-112i−2i00-11−33−33000i3−i3−ii000000
χ252-2-22-12-21-11−2i2i00-113−33−3000i3−i3i−i0000002-2-22-12-21-11−2i2i00-113−33−3000i3−i3i−i0000002-2-22-12-21-11−2i2i00-113−33−3000i3−i3i−i000000
χ262-2-22-12-21-11−2i2i00-11−33−33000−i3i3i−i0000002-2-22-12-21-11−2i2i00-11−33−33000−i3i3i−i0000002-2-22-12-21-11−2i2i00-11−33−33000−i3i3i−i000000
χ274444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000
χ2844-4-4-200-22200−2i22i200i2i2−i2−i2000000000000044-4-4-200-22200−2i22i200i2i2−i2−i2000000000000044-4-4-200-22200−2i22i200i2i2−i2−i20000000000000
χ2944-4-4-200-222002i2−2i200−i2−i2i2i2000000000000044-4-4-200-222002i2−2i200−i2−i2i2i2000000000000044-4-4-200-222002i2−2i200−i2−i2i2i20000000000000
χ304-44-4400-4-44000000000000000000000004-44-4400-4-44000000000000000000000004-44-4400-4-4400000000000000000000000
χ314-44-4-20022-2000000i6−i6−i6i600000000000004-44-4-20022-2000000i6−i6−i6i600000000000004-44-4-20022-2000000i6−i6−i6i60000000000000
χ324-44-4-20022-2000000−i6i6i6−i600000000000004-44-4-20022-2000000−i6i6i6−i600000000000004-44-4-20022-2000000−i6i6i6−i60000000000000
χ334-4-44-2-442-2200002-2000000000000000004-4-44-2-442-2200002-2000000000000000004-4-44-2-442-2200002-200000000000000000
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
χ36111111111111-1-111-1-1-1-111-1-1-111111-1-1-1111111111111-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-1-1-1111
χ37111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1111-1-1-1
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
χ401111111111-1-1-1-111-1-1-1-111111-1-1-1-11-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11111-111-1
χ411111111111-1-1-1-111-1-1-1-1-1-1111-1-111-111-11111111111-1-1-1-111-1-1-1-1-1-1111-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1-11-1-11
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
χ452222-122-1-1-122-2-2-1-1111100-211-1-10000002222-122-1-1-122-2-2-1-1111100-211-1-1000000-2-2-2-21-2-2111-2-22211-1-1-1-1002-1-111000000
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
χ472222-122-1-1-1-2-2-2-2-1-11111002-1-1110000002222-122-1-1-1-2-2-2-2-1-11111002-1-111000000-2-2-2-21-2-2111222211-1-1-1-100-211-1-1000000
χ4822-2-22002-2-200−i2i200−i2−i2i2i22i−2i000000002−2022-2-22002-2-200−i2i200−i2−i2i2i22i−2i000000002−20-2-222-200-22200i2−i200i2i2−i2−i2−2i2i00000000−220
χ4922-2-22002-2-200−i2i200−i2−i2i2i2−2i2i00000000−22022-2-22002-2-200−i2i200−i2−i2i2i2−2i2i00000000−220-2-222-200-22200i2−i200i2i2−i2−i22i−2i000000002−20
χ5022-2-22002-2-200i2−i200i2i2−i2−i22i−2i00000000−22022-2-22002-2-200i2−i200i2i2−i2−i22i−2i00000000−220-2-222-200-22200−i2i200−i2−i2i2i2−2i2i000000002−20
χ5122-2-22002-2-200i2−i200i2i2−i2−i2−2i2i000000002−2022-2-22002-2-200i2−i200i2i2−i2−i2−2i2i000000002−20-2-222-200-22200−i2i200−i2−i2i2i22i−2i00000000−220
χ522-2-2222-2-22-22i−2i002-20000000002i−2i0000002-2-2222-2-22-22i−2i002-20000000002i−2i000000-222-2-2-222-22−2i2i00-22000000000−2i2i000000
χ532-2-2222-2-22-2−2i2i002-2000000000−2i2i0000002-2-2222-2-22-2−2i2i002-2000000000−2i2i000000-222-2-2-222-222i−2i00-220000000002i−2i000000
χ542-2-222-22-22-20000-22000000000002-200002-2-222-22-22-20000-22000000000002-20000-222-2-22-22-2200002-200000000000-220000
χ552-2-222-22-22-20000-2200000000000-2200002-2-222-22-22-20000-2200000000000-220000-222-2-22-22-2200002-2000000000002-20000
χ562-2-22-12-21-112i−2i00-113−33−3000−i3i3−ii0000002-2-22-12-21-112i−2i00-113−33−3000−i3i3−ii000000-222-21-22-11-1−2i2i001-1−33−33000i3−i3i−i000000
χ572-2-22-12-21-112i−2i00-11−33−33000i3−i3−ii0000002-2-22-12-21-112i−2i00-11−33−33000i3−i3−ii000000-222-21-22-11-1−2i2i001-13−33−3000−i3i3i−i000000
χ582-2-22-12-21-11−2i2i00-113−33−3000i3−i3i−i0000002-2-22-12-21-11−2i2i00-113−33−3000i3−i3i−i000000-222-21-22-11-12i−2i001-1−33−33000−i3i3−ii000000
χ592-2-22-12-21-11−2i2i00-11−33−33000−i3i3i−i0000002-2-22-12-21-11−2i2i00-11−33−33000−i3i3i−i000000-222-21-22-11-12i−2i001-13−33−3000i3−i3−ii000000
χ604444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000-4-4-4-42442220000-2-200000000000000000
χ6144-4-4-200-22200−2i22i200i2i2−i2−i2000000000000044-4-4-200-22200−2i22i200i2i2−i2−i20000000000000-4-4442002-2-2002i2−2i200−i2−i2i2i20000000000000
χ6244-4-4-200-222002i2−2i200−i2−i2i2i2000000000000044-4-4-200-222002i2−2i200−i2−i2i2i20000000000000-4-4442002-2-200−2i22i200i2i2−i2−i20000000000000
χ634-44-4400-4-44000000000000000000000004-44-4400-4-4400000000000000000000000-44-44-40044-400000000000000000000000
χ644-44-4-20022-2000000i6−i6−i6i600000000000004-44-4-20022-2000000i6−i6−i6i60000000000000-44-44200-2-22000000−i6i6i6−i60000000000000
χ654-44-4-20022-2000000−i6i6i6−i600000000000004-44-4-20022-2000000−i6i6i6−i60000000000000-44-44200-2-22000000i6−i6−i6i60000000000000
χ664-4-44-2-442-2200002-2000000000000000004-4-44-2-442-2200002-200000000000000000-444-424-4-22-20000-2200000000000000000
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
χ69222222222222-2-222-2-2-2-222-2-2-222222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-1-1-1111000000000000000000000000000000000
χ70222222222222-2-222-2-2-2-2-2-2-2-2-222-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1111-1-1-1000000000000000000000000000000000
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
χ732222222222-2-2-2-222-2-2-2-222222-2-2-2-22-2-22-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11111-111-1000000000000000000000000000000000
χ742222222222-2-2-2-222-2-2-2-2-2-2222-2-222-222-2-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-111-1-11-1-11000000000000000000000000000000000
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
χ784444-244-2-2-244-4-4-2-2222200-422-2-2000000-2-2-2-21-2-2111-2-22211-1-1-1-1002-1-111000000000000000000000000000000000000000
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
χ804444-244-2-2-2-4-4-4-4-2-22222004-2-222000000-2-2-2-21-2-2111222211-1-1-1-100-211-1-1000000000000000000000000000000000000000
χ8144-4-44004-4-400−2i22i200−2i2−2i22i22i24i−4i0000000022−220-2-222-200-22200i2−i200i2i2−i2−i2−2i2i00000000−220000000000000000000000000000000000
χ8244-4-44004-4-400−2i22i200−2i2−2i22i22i2−4i4i00000000−22220-2-222-200-22200i2−i200i2i2−i2−i22i−2i000000002−20000000000000000000000000000000000
χ8344-4-44004-4-4002i2−2i2002i22i2−2i2−2i24i−4i00000000−22220-2-222-200-22200−i2i200−i2−i2i2i2−2i2i000000002−20000000000000000000000000000000000
χ8444-4-44004-4-4002i2−2i2002i22i2−2i2−2i2−4i4i0000000022−220-2-222-200-22200−i2i200−i2−i2i2i22i−2i00000000−220000000000000000000000000000000000
χ854-4-4444-4-44-44i−4i004-40000000004i−4i000000-222-2-2-222-22−2i2i00-22000000000−2i2i000000000000000000000000000000000000000
χ864-4-4444-4-44-4−4i4i004-4000000000−4i4i000000-222-2-2-222-222i−2i00-220000000002i−2i000000000000000000000000000000000000000
χ874-4-444-44-44-40000-44000000000004-40000-222-2-22-22-2200002-200000000000-220000000000000000000000000000000000000
χ884-4-444-44-44-40000-4400000000000-440000-222-2-22-22-2200002-2000000000002-20000000000000000000000000000000000000
χ894-4-44-24-42-224i−4i00-2223−2323−23000−2i32i3−2i2i000000-222-21-22-11-1−2i2i001-1−33−33000i3−i3i−i000000000000000000000000000000000000000
χ904-4-44-24-42-224i−4i00-22−2323−23230002i3−2i3−2i2i000000-222-21-22-11-1−2i2i001-13−33−3000−i3i3i−i000000000000000000000000000000000000000
χ914-4-44-24-42-22−4i4i00-2223−2323−230002i3−2i32i−2i000000-222-21-22-11-12i−2i001-1−33−33000−i3i3−ii000000000000000000000000000000000000000
χ924-4-44-24-42-22−4i4i00-22−2323−2323000−2i32i32i−2i000000-222-21-22-11-12i−2i001-13−33−3000i3−i3−ii000000000000000000000000000000000000000
χ938888-4-8-8-4-4-400004400000000000000000-4-4-4-42442220000-2-200000000000000000000000000000000000000000000000000
χ9488-8-8-400-44400−4i24i2002i22i2−2i2−2i20000000000000-4-4442002-2-2002i2−2i200−i2−i2i2i20000000000000000000000000000000000000000000000
χ9588-8-8-400-444004i2−4i200−2i2−2i22i22i20000000000000-4-4442002-2-200−2i22i200i2i2−i2−i20000000000000000000000000000000000000000000000
χ968-88-8800-8-8800000000000000000000000-44-44-40044-400000000000000000000000000000000000000000000000000000000
χ978-88-8-40044-40000002i6−2i6−2i62i60000000000000-44-44200-2-22000000−i6i6i6−i60000000000000000000000000000000000000000000000
χ988-88-8-40044-4000000−2i62i62i6−2i60000000000000-44-44200-2-22000000i6−i6−i6i60000000000000000000000000000000000000000000000
χ998-8-88-4-884-4400004-400000000000000000-444-424-4-22-20000-2200000000000000000000000000000000000000000000000000

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