Finite Group Databasebeta

← Group #10770259

Character table — Group #10770259

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888888888888888816161616242424242424242448484848
order122222223666666624444666612121212224444448888121212121212121212122424242424242424661212244444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ911111-1-1111-1-1-1-111-1-1-1111-1-11-1-1111-11-111-1-111-1-11-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-11-11-1
χ1011111-1-1111-1-1-1-111-1-1-1111-1-11-1-1111-11-111-1-111-1-11-11111-1-1-1-11111-1-1-1-11-11-1-11-11-1-111-11-11
χ1111111-1-1111-1-1-1-111-1-1-1111-1-11-1-1111-11-1-1-111-1-1111-1-1-1-1-11111-1-1-1-111111-11-11-11-111-1-1-11-11
χ1211111-1-1111-1-1-1-111-1-1-1111-1-11-1-1111-11-1-1-111-1-1111-1-1-1-1-11111-1-1-1-111111-11-1-11-11-1-1111-11-1
χ1311111-1-1111-1-1-1-111-1-1-1111-1-11-1-111-11-1111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-11-111-11-1-1-111-111-1
χ1411111-1-1111-1-1-1-111-1-1-1111-1-11-1-111-11-1111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111-11-11-11-1111-1-11-1-11
χ1511111-1-1111-1-1-1-111-1-1-1111-1-11-1-111-11-11-1-11111-1-11-1-1-1-1-111111111-1-1-1-1-11-111-11-1-1-1111-1-11
χ1611111-1-1111-1-1-1-111-1-1-1111-1-11-1-111-11-11-1-11111-1-11-1-1-1-1-111111111-1-1-1-1-11-11-11-1111-1-1-111-1
χ1722222222222222222-2-2-2-22222-2-2-2-2000000000000-2-20000000000000000000000002-22-20000
χ1822222222222222222-2-2-2-22222-2-2-2-2000000000000-2-2000000000000000000000000-22-220000
χ1922222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2022222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-11111111111111111-1-1-1-1000000000000
χ2122222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000
χ2222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-11111000000000000
χ2322222-2-2222-2-2-2-222-222-2-22-2-2222-2-2000000000000-220000000000000000000000002-2-220000
χ2422222-2-2222-2-2-2-222-222-2-22-2-2222-2-2000000000000-22000000000000000000000000-222-20000
χ2522222-2-22-1-11111-1-1-2-2-222-111-111-1-12-22-222-2-222-2-2-11-1-1-1-11111-1-1-1-11111-11-11000000000000
χ2622222-2-22-1-11111-1-1-2-2-222-111-111-1-12-22-2-2-222-2-222-111111-1-1-1-11111-1-1-1-1-11-11000000000000
χ2722222-2-22-1-11111-1-1-2-2-222-111-111-1-1-22-2222-2-2-2-222-11-1-1-1-111111111-1-1-1-11-11-1000000000000
χ2822222-2-22-1-11111-1-1-2-2-222-111-111-1-1-22-22-2-22222-2-2-111111-1-1-1-1-1-1-1-111111-11-1000000000000
χ292222-222-222222222-22-22-2-2-2-2-22222000000000000-2-20000000000000000000022-2-200000000
χ302222-222-222222222-22-22-2-2-2-2-22222000000000000-2-200000000000000000000-2-22200000000
χ312222-222-222222222-2-22-22-2-2-2-2-2-2-2-222-2-20000000022000000000000000022-2-2000000000000
χ322222-222-222222222-2-22-22-2-2-2-2-2-2-2-2-2-22200000000220000000000000000-2-222000000000000
χ332222-222-2-1-1-1-1-1-1-1-1-2-22-221111111122-2-200000000-1-133−3−333−3−333−3−333−3−3-1-111000000000000
χ342222-222-2-1-1-1-1-1-1-1-1-2-22-221111111122-2-200000000-1-1−3−333−3−333−3−333−3−333-1-111000000000000
χ352222-222-2-1-1-1-1-1-1-1-1-2-22-2211111111-2-22200000000-1-133−3−333−3−3−3−333−3−33311-1-1000000000000
χ362222-222-2-1-1-1-1-1-1-1-1-2-22-2211111111-2-22200000000-1-1−3−333−3−33333−3−333−3−311-1-1000000000000
χ372222-2-2-2-222-2-2-2-22222-2-22-222-222-2-22-2-22000000002-200000000000000002-2-22000000000000
χ382222-2-2-2-222-2-2-2-22222-2-22-222-222-2-2-222-2000000002-20000000000000000-222-2000000000000
χ392222-2-2-2-222-2-2-2-2222-222-2-222-2-2-222000000000000-22000000000000000000002-2-2200000000
χ402222-2-2-2-222-2-2-2-2222-222-2-222-2-2-222000000000000-2200000000000000000000-222-200000000
χ412222-2-2-2-2-1-11111-1-122-2-221-1-11-1-1112-2-2200000000-1133−3−3−3−33333−3−3−3−333-111-1000000000000
χ422222-2-2-2-2-1-11111-1-122-2-221-1-11-1-1112-2-2200000000-11−3−33333−3−3−3−33333−3−3-111-1000000000000
χ432222-2-2-2-2-1-11111-1-122-2-221-1-11-1-111-222-200000000-1133−3−3−3−333−3−33333−3−31-1-11000000000000
χ442222-2-2-2-2-1-11111-1-122-2-221-1-11-1-111-222-200000000-11−3−33333−3−333−3−3−3−3331-1-11000000000000
χ4544444444-2-2-2-2-2-2-2-24-4-4-4-4-2-2-2-222220000000000002200000000000000000000000000000000
χ4644444-4-44-2-22222-2-2-444-4-4-222-2-2-2220000000000002-200000000000000000000000000000000
χ474444-444-4-2-2-2-2-2-2-2-2-44-44-42222-2-2-2-20000000000002200000000000000000000000000000000
χ484444-4-4-4-4-2-22222-2-24-444-42-2-2222-2-20000000000002-200000000000000000000000000000000
χ4944-4-404-404444-4-4-4-4000000000000000002-22-20000002-22-22-22-2000000000000000000000000
χ5044-4-404-404444-4-4-4-400000000000000000-22-22000000-22-22-22-22000000000000000000000000
χ5144-4-404-40-2-2-2-2222200000000023−2323−2300002-22-2000000−1+31−3−1−31+3−1+31−3−1−31+3000000000000000000000000
χ5244-4-404-40-2-2-2-2222200000000023−2323−230000-22-220000001−3−1+31+3−1−31−3−1+31+3−1−3000000000000000000000000
χ5344-4-404-40-2-2-2-22222000000000−2323−232300002-22-2000000−1−31+3−1+31−3−1−31+3−1+31−3000000000000000000000000
χ5444-4-404-40-2-2-2-22222000000000−2323−23230000-22-220000001+3−1−31−3−1+31+3−1−31−3−1+3000000000000000000000000
χ5544-4-40-44044-4-444-4-4000000000000000002-2-220000002-22-2-22-22000000000000000000000000
χ5644-4-40-44044-4-444-4-400000000000000000-222-2000000-22-222-22-2000000000000000000000000
χ5744-4-40-440-2-222-2-22200000000023−23−232300002-2-22000000−1−31+3−1+31−31+3−1−31−3−1+3000000000000000000000000
χ5844-4-40-440-2-222-2-22200000000023−23−23230000-222-20000001+3−1−31−3−1+3−1−31+3−1+31−3000000000000000000000000
χ5944-4-40-440-2-222-2-222000000000−232323−2300002-2-22000000−1+31−3−1−31+31−3−1+31+3−1−3000000000000000000000000
χ6044-4-40-440-2-222-2-222000000000−232323−230000-222-20000001−3−1+31+3−1−3−1+31−3−1−31+3000000000000000000000000
χ614-44-4400-44-400004-400000400-400000000000000−2i22i200000000000000−2i22i2−2i22i20000000000000000
χ624-44-4400-44-400004-400000400-4000000000000002i2−2i2000000000000002i2−2i22i2−2i20000000000000000
χ634-44-4400-4-22−2i32i3−2i32i3-2200000-2−2i32i3200000000000000−2i22i200000000006−66−6i2−i2i2−i20000000000000000
χ644-44-4400-4-22−2i32i3−2i32i3-2200000-2−2i32i32000000000000002i2−2i20000000000−66−66−i2i2−i2i20000000000000000
χ654-44-4400-4-222i3−2i32i3−2i3-2200000-22i3−2i3200000000000000−2i22i20000000000−66−66i2−i2i2−i20000000000000000
χ664-44-4400-4-222i3−2i32i3−2i3-2200000-22i3−2i32000000000000002i2−2i200000000006−66−6−i2i2−i2i20000000000000000
χ674-44-4-40044-400004-400000-400400000000000022−2200000000000022−22−222200000000000000000000
χ684-44-4-40044-400004-400000-4004000000000000−2222000000000000−222222−2200000000000000000000
χ694-44-4-4004-22−2i32i3−2i32i3-220000022i3−2i3-200000000000022−22000000000000−222−2i6−i6−i6i60000000000000000
χ704-44-4-4004-22−2i32i3−2i32i3-220000022i3−2i3-2000000000000−22220000000000002−2−22−i6i6i6−i60000000000000000
χ714-44-4-4004-222i3−2i32i3−2i3-22000002−2i32i3-200000000000022−22000000000000−222−2−i6i6i6−i60000000000000000
χ724-44-4-4004-222i3−2i32i3−2i3-22000002−2i32i3-2000000000000−22220000000000002−2−22i6−i6−i6i60000000000000000
χ738-8-8800008-80000-8800000000000000000000000000000000000000000000000000000000000
χ748-8-880000-44−4i34i34i3−4i34-400000000000000000000000000000000000000000000000000000000000
χ758-8-880000-444i3−4i3−4i34i34-400000000000000000000000000000000000000000000000000000000000

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